Input: 0.3444471 0.00756673 0.0052192565 0.0031029552 0.0025691134 0.0016253574 0.004175405 0.0059056245 0.004969018 0.0123260245 0.004454242 0.0016849381 0.0012297427 0.0011201143 0.0010438513 0.0013965681 0.0008222116 0.0013941849 0.0015824594 0.0011630123 0.0012154432 0.0006982841 0.0014752145 0.0011105814 0.0007268827 0.00055052433 0.0008007626 0.0006577693 0.0006816015 0.0006816015 0.0007125834 0.0011081983 0.002681125 0.004108675 0.0016086749 0.0010891325 0.0006982841 0.0030409915 0.0027359389 0.00036939944 0.0019661582 0.00046949476 0.0013012392 0.00066730217 0.0008770257 0.0015419447 0.0016491897 0.0007912297 0.0022998094 0.0016801716 0.001234509 0.00090324116 0.0010271687 0.0007054337 0.00047902766 0.000536225 0.0005743565 0.0010057198 0.0008198284 0.0005433746 0.0010057198 0.00079599617 0.0006267874 0.0007125834 0.000986654 0.0012964729 0.0011892278 0.0017683508 0.0013250714 0.0012797903 0.00076263107 0.0007483317 0.0009056244 0.0016015252 0.000622021 0.0020162058 0.007790753 0.0020209723 0.0015085796 0.001029552 0.00092469016 0.00087940897 0.0012321258 0.0018255481 0.0011749285 0.00081506197 0.0016944709 0.00082459487 0.0006196377 0.0004957102 0.0006267874 0.0005672069 0.0019804577 0.0005600572 0.00042659676 0.0014895138 0.00045996186 0.00314347 0.0014084843 0.0025119162 0.0017183032 0.006031935 0.00081744517 0.0013798856 0.0010891325 0.0031148712 0.0007030505 0.00091039087 0.00221163 0.0017445186 0.002971878 0.006267874 0.0012488083 0.0007769304 0.0033865587 0.0039132508 0.0055219256 0.0020233556 0.0013989514 0.0012893232 0.001029552 0.0016563394 0.0012082936 0.0013417541 0.0010009533 0.0013941849 0.0013965681 0.0010843661 0.0019876072 0.0014823641 0.0015919923 0.0023808389 0.0047044805 0.0020138228 0.00207102 0.001148713 0.005738799 0.0013226883 0.0016920877 0.0013512869 0.0011653956 0.0012535749 0.0010247856 0.0010438513 0.0011391802 0.0012511916 0.0015038132 0.0008627264 0.0008937083 0.011920877 0.00084604387 0.00089132506 0.0004742612 0.00064347 0.0007340324 0.000579123 0.00071020017 0.00074118207 0.0017135367 0.004892755 0.0018684461 0.0017826501 0.0022783603 0.0025381315 0.0027597712 0.0019899905 0.0025309818 0.0023307912 0.0026167778 0.0020519542 0.0025691134 0.0021734985 0.0029766443 0.0018136321 0.0018803623 0.0021639657 0.0014013347 0.0013465205 0.0010962822 0.000986654 0.0015228789 0.0012059103 0.0013417541 0.0013775023 0.0013226883 0.00084604387 0.001620591 0.0013584367 0.0009151573 0.0013489038 0.0008770257 0.0006077216 0.0013703527 0.0010772164 0.00078408007 0.0012154432 0.004377979 0.0005767397 0.00094375596 0.00086749287 0.0006530029 0.0010033365 0.0007459485 0.0006315539 0.06383937 0.00085795997 0.0008555767 0.0016611058 0.0037750239 0.002971878 0.0031792184 0.0034890373 0.0049404195 0.0040085795 0.0038226882 0.0043040994 0.0040085795 0.0037535748 0.0036749286 0.0035081028 0.0070900857 0.0034366064 0.0036796948 0.0037821734 0.0037154432 0.003701144 0.003596282 0.0030123927 0.003155386 0.0035009533 0.0032673974 0.0035152526 0.0036939944 0.0035605337 0.0035772163 0.0024451858 0.0018040992 0.00092469016 0.0007387989 0.0010605338 0.0011725452 0.00042897998 0.00018112488 0.0002264061 0.0005123928 0.00015490943 0.00039323166 0.00028836986 0.0145805525 0.0003145853 0.00016682554 0.00018112488 0.0005386082 0.0015133461 0.0088655865 0.09514776 0.0024090935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.1115964e-05 0.0 0.0 1.077091e-05 0.0115452185 9.5741425e-06 1.077091e-05 4.7870712e-06 1.3164446e-05 5.983839e-06 3.35095e-05 1.7951517e-05 1.4361213e-05 1.1967678e-06 1.1967678e-06 0.0 1.1967678e-06 1.1967678e-06 0.0 0.0005947936 0.010739794 3.5903033e-06 3.5903033e-06 5.983839e-06 1.7951517e-05 1.3164446e-05 1.4361213e-05 8.377375e-06 5.983839e-06 0.0 0.0 1.1967678e-06 0.00067018997 0.0 4.7870712e-06 0.0007659314 0.025300868 4.7870712e-06 4.7870712e-06 2.3935356e-06 5.983839e-06 1.1967678e-06 2.3935356e-06 3.5903033e-06 1.4361213e-05 1.1967678e-06 1.1967678e-06 0.0 0.0048887962 1.1967678e-06 0.0 0.0016299977 0.040978525 1.4361213e-05 7.300283e-05 6.1035156e-05 6.223193e-05 3.9493338e-05 0.00026927274 0.00013643152 4.7870712e-06 0.0 0.0 0.0 0.0105519015 0.0 0.0 0.0041815066 0.054946 0.00012087354 0.00037219477 0.0002118279 0.00021781173 0.0004045075 0.0006283031 0.000386556 0.0013918409 0.000757554 0.00048110064 0.0002118279 0.010048063 0.00018789254 0.0031965666 0.0073194318 0.01987592 0.00024294386 0.00023097618 0.00019507315 0.00022977941 0.00018669578 0.0002932081 0.00016874426 0.0011189779 0.00055170996 0.0003231273 0.00029560164 0.005111395 0.00034107882 0.0013164446 0.0038320504 0.047997568 0.000319537 0.003348556 0.000639074 0.0020345051 0.0020177504 0.009345559 0.0053004846 0.004267674 0.013786765 0.00078867 0.00015917011 0.027165432 0.00033270143 0.0057205497 0.04099169 0.030323701 0.00071566715 0.0033665078 0.001984241 0.0030122644 0.0018143 0.008037493 0.004308364 0.0021087048 0.0021769207 0.0024234548 0.00059958064 0.0049809474 0.003421559 0.0053148456 0.008744782 0.047505695 0.002509622 0.005148495 0.001649146 0.004200655 0.0017305262 0.0037853764 0.002555099 0.005100624 0.0019160252 0.0038452148 0.0023935356 0.0058402265 0.010054046 0.009434121 0.01242963 0.04295678 0.003725538 0.004528569 0.0021242627 0.0058103073 0.0025826248 0.0045620785 0.0035460228 0.0037291283 0.0030900545 0.0067605413 0.0037494735 0.003081677 0.012745577 0.006971172 0.010134229 0.02730665 0.0025323606 0.002746582 0.0017867743 0.004091749 0.0019363703 0.0038464116 0.0050587375 0.004272461 0.0022690718 0.007796942 0.004100126 0.0030637255 0.013547411 0.0061406153 0.012445188 0.026489258 0.001839432 0.002230775 0.002355239 0.0030409868 0.0024102903 0.0020189472 0.0032133216 0.0062219957 0.0026568244 0.008687337 0.0048959767 0.0027274338 0.015233657 0.0052490234 0.013670678 0.010404699 0.0017281327 0.0018466127 0.0017903646 0.0025646733 0.00138107 0.0016946231 0.0026891371 0.0023313037 0.0016288009 0.0035268746 0.0018334482 0.002411487 0.0059012617 0.0011560777 0.0061310413 0.0019710765 0.0006486481 0.00069891236 0.000943053 0.0007647346 0.0006570255 0.000943053 0.0012853285 0.00066899316 0.0005158069 0.0012230966 0.00039253983 0.00069891236 0.0013331993 0.0003781786 0.0015833238 0.0023719936 0.0007611443 0.0007994409 0.00094903685 0.00069891236 0.00078867 0.0008844114 0.00083654065 0.00066181255 0.00047272327 0.0005265778 0.0004906748 0.00044400085 0.0004930683 0.00048229742 0.00059359684 1853.0 13.8381 25642.0 0.011660557 0.0019109274 0.0073707197 0.005576788 0.005069807 0.0019109274 0.0018329304 0.0014039467 0.001208954 0.0010529599 0.0011699556 0.0012479526 0.0037828563 0.0028078933 0.018836284 0.0076437094 0.016457375 0.010373605 0.0053817956 0.005420794 0.004835816 0.0049528116 0.0031198815 0.00315888 0.0037828563 0.0038218547 0.0031978784 0.002261914 0.0026908978 0.0041728416 0.0023009125 0.0006629748 0.0007409718 0.0079946965 0.0046408237 0.014156462 0.009242649 0.004523828 0.0029638873 0.0028078933 0.002261914 0.012245535 0.0008969659 0.004562827 0.01630138 0.015950395 0.012011544 0.005771781 0.00631776 0.0036658607 0.007019733 0.01871929 0.009398643 0.0033538726 0.010373605 0.0056937835 0.0027298962 0.0014819436 0.0022229154 0.0018719289 0.0014429452 0.0016769363 0.001130957 0.01891428 0.0015989392 0.036502615 0.013142501 0.024686063 0.018017316 0.087746665 0.007916699 0.01790032 0.008384681 0.042469386 0.0021449185 0.0074877157 0.028273925 0.021605179 0.038062554 0.044887293 0.012791513 0.0044848295 0.041689415 0.04293737 0.073590204 0.016613368 0.0058497777 0.0090866545 0.004055846 0.014078465 0.0043288353 0.0008579674 0.0014429452 0.0008969659 0.0014429452 0.0008579674 5.674387 0.0 17.0 0.0 3.0 419600.0 434176.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1543214800.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 80.0 0.0 4.0 0.0 4.0 0.0 391168.0 512.0 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 -391168.0 0.0 19968.0 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 -5.3435397 0.0 3.0904582 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 -390784.0 0.0 19564.0 0.0 0.0 0.0 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 87.0 398880.0 19564.0 409600.0 0.0 0.0 7440.0 412160.0 12.0 401408.0 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: 0.34377775 0.0037286931 0.0024525037 0.0026578037 0.0027687766 0.0030739524 0.0020751953 0.0020363547 0.0026689009 0.0020530007 0.0031571821 0.0022804954 0.0024192117 0.0036121716 0.0030517578 0.0030850498 0.0025190874 0.001936479 0.0021861682 0.0020141602 0.0022971414 0.0022527522 0.002924139 0.0021084873 0.002286044 0.0018865411 0.0021362305 0.0018033114 0.0020086116 0.0019253817 0.0019919656 0.0028852983 0.006575151 0.0020751953 0.0015758168 0.0028520063 0.004333496 0.00209739 0.002335982 0.0018809926 0.0025523792 0.003556685 0.0030240146 0.003096147 0.0022693982 0.003540039 0.002380371 0.0019642224 0.0037286931 0.0025301846 0.00209739 0.0019142844 0.00250799 0.0019031871 0.0022028142 0.002335982 0.0025912197 0.0022305576 0.0018088601 0.0020585493 0.0023248845 0.0020252576 0.0024414062 0.0031849255 0.003734242 0.0024968928 0.0020585493 0.002397017 0.0044500176 0.0037675337 0.0024303088 0.0031183416 0.0022638494 0.0022416548 0.0022305576 0.001953125 0.0026467063 0.00431685 0.0022638494 0.0023748225 0.0027188389 0.0031072444 0.0023137874 0.0030295632 0.0026744495 0.0027021929 0.0026023171 0.0024857954 0.0020197087 0.0018199574 0.0020751953 0.0022915928 0.0023581765 0.0022527522 0.0025024414 0.002335982 0.0022416548 0.004671964 0.0020585493 0.0033291904 0.0033236416 0.0056429775 0.0028242632 0.002907493 0.0028631038 0.004794034 0.0025190874 0.002652255 0.003556685 0.0023082385 0.005520907 0.004289107 0.003284801 0.0021306819 0.0041004526 0.0038119229 0.0042336206 0.003284801 0.0027354846 0.002286044 0.003479004 0.0022472034 0.0035788796 0.0018199574 0.002286044 0.0023304333 0.0032681553 0.0019753196 0.002574574 0.0025024414 0.004178134 0.0029796252 0.0026578037 0.002208363 0.0018754438 0.0027410334 0.002652255 0.0056873667 0.0023692737 0.004671964 0.0020419033 0.0022971414 0.002397017 0.0033569336 0.0024414062 0.002064098 0.0020696467 0.0018199574 0.002125133 0.0018477007 0.002141779 0.002286044 0.003334739 0.002286044 0.0018865411 0.0027576794 0.0019808682 0.0016923384 0.0019975142 0.0021695225 0.0020086116 0.002286044 0.0020363547 0.0021695225 0.0019309304 0.001969771 0.0031016956 0.0019975142 0.0016701438 0.0020530007 0.002141779 0.0049438477 0.0021029385 0.0017089844 0.002319336 0.0018698953 0.002335982 0.0018920898 0.0021695225 0.0027243875 0.002524636 0.0019309304 0.0020086116 0.0016202059 0.0019642224 0.0020530007 0.0019975142 0.0019253817 0.0021473279 0.0022638494 0.0020585493 0.0018865411 0.0024746982 0.0022416548 0.002208363 0.0025801226 0.002940785 0.002191717 0.002064098 0.003112793 0.0031627307 0.0022693982 0.0032459607 0.0024580522 0.0023692737 0.0022971414 0.003301447 0.0021306819 0.0023581765 0.003096147 0.0025024414 0.0027743252 0.0020308062 0.002158425 0.0020751953 0.0018088601 0.0030240146 0.0016923384 0.001986417 0.0018477007 0.002141779 0.0022472034 0.002158425 0.0017422762 0.0032293147 0.0019753196 0.001747825 0.0017145331 0.0022804954 0.0019031871 0.001936479 0.001953125 0.00209739 0.0021029385 0.0019808682 0.0024802468 0.0033791282 0.0022361062 0.0020585493 0.0030850498 0.0025912197 0.002347079 0.0023859197 0.0018643466 0.0025024414 0.0021806196 0.0022250088 0.0023082385 0.0035511365 0.0031571821 0.002125133 0.0023137874 0.0044833096 0.0030573064 0.0023248845 0.0053766426 0.18857142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0159375 4.7433037e-05 0.0001311384 6.4174106e-05 7.2544644e-05 3.90625e-05 0.00023716518 0.00010881697 9.207589e-05 3.6272322e-05 7.533482e-05 1.674107e-05 7.2544644e-05 5.580357e-05 5.859375e-05 9.765625e-05 0.015022322 0.00011160714 0.00010602678 4.4642857e-05 0.00026506698 0.00018415178 0.00065290177 0.00036272322 7.8125e-05 3.348214e-05 3.0691965e-05 5.580357e-05 5.0223214e-05 4.185268e-05 6.138393e-05 4.185268e-05 0.009637277 8.370536e-05 7.2544644e-05 0.00093191967 5.0223214e-05 4.4642857e-05 5.580357e-05 3.90625e-05 6.138393e-05 7.8125e-05 8.928571e-05 7.2544644e-05 5.580357e-05 2.7901786e-05 5.580357e-05 7.2544644e-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 0.008367745 9.4866075e-05 0.0002734375 0.00029017858 0.0004017857 0.00013950893 0.0010351562 0.00053013396 4.4642857e-05 1.1160714e-05 3.90625e-05 1.953125e-05 4.4642857e-05 3.0691965e-05 6.4174106e-05 4.185268e-05 0.035435267 0.00045758928 0.0029854912 0.00069754466 0.0014425223 0.0010184152 0.007527902 0.0039034598 0.0003766741 0.00043247768 0.0003515625 0.00036830356 0.000546875 0.0004017857 0.00060825894 0.0005887277 0.01654297 0.00020368304 0.0014118303 0.00030691965 0.0019056919 0.0014787946 0.0033565848 0.0013616071 0.0003766741 0.00014508929 2.2321428e-05 1.953125e-05 0.000546875 2.5111607e-05 2.5111607e-05 0.00084263395 0.0190625 0.00046595983 0.001827567 0.00047991073 0.0015401785 0.00089285715 0.0026646205 0.0020089287 0.0013643974 0.00044921876 0.00039620535 0.0005078125 0.0006222098 0.00043247768 0.0006696429 0.0009012277 0.008839286 0.00038504464 0.00055803574 0.00034040178 0.0010128348 0.0005078125 0.0014006697 0.0008342634 0.00053571427 0.0002985491 0.00043526787 0.00027622769 0.0004268973 0.00035435267 0.00043805802 0.000499442 0.016155133 0.00065848214 0.0019056919 0.0012248884 0.001297433 0.00085100444 0.0024553572 0.0018219866 0.0012890626 0.0007672991 0.0010184152 0.0007114955 0.0012583706 0.0009123884 0.0008342634 0.001124442 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016071429 5.0223214e-05 0.00043247768 0.0006501116 0.00042410713 0.00032924107 0.00047154017 0.0003097098 0.00022879464 0.00010044643 8.0915175e-05 0.00027622769 0.00039899553 0.00017857143 0.00010044643 7.533482e-05 0.010334821 0.0018498884 0.0039174105 0.0020424107 0.005577567 0.0033342633 0.0018694196 0.002407924 0.008490513 0.0013225446 0.0012555803 0.0015094866 0.0037220982 0.0018387276 0.0029715402 0.0046986607 0.03652065 0.030898437 0.03269252 0.031018415 0.030906808 0.030633371 0.033964843 0.033359375 0.03451451 0.03141741 0.032714844 0.02982143 0.033512834 0.031537388 0.030435268 0.036051895 575.0 6.8573914 3943.0 0.01521684 0.006847578 0.00634035 0.00760842 0.009637332 0.005579508 0.012173472 0.00507228 0.00887649 0.006847578 0.00760842 0.004565052 0.00760842 0.005579508 0.011919858 0.00634035 0.02916561 0.009383718 0.012173472 0.009130104 0.00887649 0.00634035 0.009637332 0.014202384 0.01014456 0.00887649 0.004818666 0.00760842 0.006593964 0.006847578 0.008115648 0.01014456 0.007862034 0.011666244 0.006847578 0.010651788 0.012173472 0.008115648 0.005833122 0.009130104 0.008369262 0.010651788 0.008622876 0.005325894 0.012427086 0.008115648 0.009130104 0.011919858 0.009890946 0.006593964 0.013441542 0.014202384 0.006847578 0.007101192 0.011666244 0.014455998 0.008115648 0.007101192 0.006593964 0.007862034 0.007101192 0.00634035 0.00760842 0.011666244 0.007862034 0.01521684 0.006593964 0.017499367 0.018513821 0.035252348 0.009890946 0.0126807 0.01394877 0.020035505 0.005833122 0.008622876 0.020542733 0.013187928 0.021049961 0.02155719 0.009890946 0.011159016 0.01902105 0.012173472 0.026122242 0.013695156 0.008115648 0.007354806 0.00887649 0.01014456 0.008115648 0.00507228 0.008369262 0.005579508 0.008622876 0.006086736 6.435075 0.0 0.0 0.0 4.0 180224.0 184320.0 1.0 0.0 45.0 1.0 1.0 0.0 0.0 0.0 787980800.0 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 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 14.0 0.0 5.0 0.0 5.0 0.0 0.0 4096.0 4096.0 8.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -28672.0 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 -4096.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 20480.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.947726 0.0 0.0 -6.6781716 0.0 0.0 0.0 0.0 0.0 5.091583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5330931 0.0 6.973444 0.0 0.0 0.0 0.0 0.0 0.0 -6.6583276 0.0 4.122162 0.0 0.0 0.0 0.0 -6.9651647 0.0 0.0 0.0 0.0 0.0 0.0 -360.0 0.0 0.0 -26426.0 0.0 0.0 0.0 0.0 0.0 2428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8168.0 0.0 72983.0 0.0 0.0 0.0 0.0 0.0 0.0 -10184.0 0.0 16704.0 0.0 0.0 0.0 0.0 -26422.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 41600.0 200.0 17376.0 16704.0 159744.0 0.0 0.0 0.0 0.0 360.0 180224.0 56.0 16608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 216.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.19348821 0.018676464 0.017974015 0.0091788415 0.017733283 0.007064915 0.012440005 0.0090312045 0.011169581 0.0055810288 0.008192405 0.003295957 0.005909214 0.0038921447 0.00443003 0.004871058 0.0074288337 0.004648193 0.004390535 0.0027524298 0.003284673 0.0026471098 0.0029405016 0.0020904173 0.0044290894 0.0021280318 0.0016550313 0.0015581744 0.0027797003 0.0012958143 0.00092155155 0.0017133335 0.008925885 0.0020509223 0.0024082586 0.0021101648 0.0034859097 0.0019794551 0.0016117748 0.0019343179 0.006835467 0.0021402563 0.0045268866 0.002684724 0.0034624008 0.0018976438 0.0022352326 0.0010945775 0.006595676 0.002391332 0.0029442632 0.0063765724 0.0034144423 0.0021665865 0.0025154594 0.0025098172 0.0028191954 0.0034595795 0.0021167474 0.0031520824 0.0024787856 0.0020415187 0.0024844278 0.0024787856 0.004947227 0.0031003626 0.0023744057 0.002854929 0.002818255 0.009242785 0.0023273877 0.0018760156 0.0025163998 0.0029931618 0.0014274645 0.0013503551 0.003300659 0.003547033 0.0024449327 0.00173026 0.005529309 0.0011651044 0.0025690598 0.005693872 0.003379649 0.004286155 0.0044704652 0.0035244643 0.01703742 0.001989799 0.0011923749 0.002262503 0.0014519138 0.0031454999 0.0046886285 0.0043482184 0.0030533446 0.0039015482 0.0018083098 0.0023424334 0.0034934324 0.008139744 0.0011867327 0.0015845044 0.002207962 0.004193059 0.0017161546 0.0021477793 0.004070813 0.0024910101 0.0038705163 0.0058067148 0.0049274797 0.0009892574 0.0046133995 0.0048231 0.0078905495 0.00471966 0.0015666375 0.0013588183 0.0018656716 0.0019973218 0.0015045739 0.004107487 0.0015788622 0.003313824 0.0023997955 0.0007927224 0.0062693716 0.0025963304 0.0010757704 0.0042146877 0.0016202381 0.0033100627 0.0006732968 0.00059054524 0.0012600806 0.006227055 0.0006573107 0.024074122 0.0013052179 0.005507681 0.00053130265 0.0006196964 0.0030420604 0.0014048959 0.003347677 0.001876956 0.0022032603 0.0020302343 0.0015995501 0.0011190268 0.0012422139 0.0012158838 0.0055800886 0.0019813357 0.0038714567 0.0006196964 0.0005604538 0.0003977717 0.0019728725 0.00081623136 0.0019700516 0.0010654264 0.0014914089 0.0016823018 0.003193458 0.0035329277 0.0012140031 0.00093189545 0.00082281383 0.0014584963 0.0012591403 0.0005115551 0.0005247202 0.00052660087 0.0017349618 0.00091873045 0.0013766851 0.0008848775 0.0011980169 0.000878295 0.0013494147 0.00067235646 0.002429887 0.0028746766 0.002469382 0.0007541677 0.0013249654 0.001001482 0.000692104 0.0007541677 0.0057615777 0.0009845556 0.0020499818 0.0032414163 0.001667256 0.00067799864 0.0019832165 0.0022164255 0.0023499564 0.0010804721 0.00069116364 0.0010626053 0.01890215 0.00053412374 0.0026198393 0.0013146214 0.0027025908 0.00073442014 0.001510216 0.0008463228 0.0018948228 0.00062909996 0.0010917564 0.0009036847 0.0023753461 0.0013042775 0.00081623136 0.0009854959 0.0019474828 0.0015628762 0.00072125514 0.00086607033 0.0019615882 0.0010456789 0.00063380174 0.00060465065 0.0017998465 0.0007353605 0.00053412374 0.00054070627 0.014249255 0.001593908 0.0005660959 0.0020932385 0.0037557925 0.0006714161 0.0006657739 0.00059148564 0.004288976 0.0019173913 0.001137834 0.0015515918 0.0036081562 0.0018431031 0.0027223383 0.002789104 0.004356682 0.0045184237 0.0018957631 0.000841621 0.0012798281 0.0009497623 0.0016145959 0.032729182 0.009586227 8.00461e-06 7.533751e-06 1.2713205e-05 8.47547e-06 4.7085945e-07 9.417189e-07 4.7085945e-07 6.1211726e-06 4.7085945e-07 0.0 4.7085945e-07 0.0 0.0 9.417189e-07 1.0358908e-05 0.0064295856 1.5067502e-05 2.0717816e-05 2.3072113e-05 2.448469e-05 2.8251567e-05 2.9193287e-05 2.3072113e-05 2.3072113e-05 2.3072113e-05 2.495555e-05 2.542641e-05 1.5067502e-05 1.5067502e-05 1.5067502e-05 1.5067502e-05 0.0017515972 0.0 0.0 0.0 3.296016e-06 1.3184064e-05 1.4125783e-05 8.00461e-06 9.228845e-05 8.00461e-06 5.179454e-06 0.0 0.0 0.0 0.0 3.296016e-05 0.0041430923 0.0002472012 4.520251e-05 3.1547585e-05 2.7780708e-05 0.00020388214 1.0358908e-05 6.1211726e-06 8.946329e-06 2.495555e-05 8.946329e-06 1.3184064e-05 1.0358908e-05 2.1659534e-05 7.533751e-06 1.0829767e-05 0.0024244552 0.0001393744 2.9664145e-05 3.6256177e-05 0.0005607936 0.00048027665 1.3654924e-05 8.00461e-06 2.9664145e-05 2.0246956e-05 1.0829767e-05 9.888048e-06 1.3654924e-05 1.1300627e-05 1.3654924e-05 5.5561417e-05 0.0067153974 0.00039787623 0.000264623 0.00014219955 0.0058617294 0.004290942 0.00014832073 0.000106414234 6.1682586e-05 6.403688e-05 4.520251e-05 4.6615085e-05 4.5673365e-05 4.6615085e-05 4.520251e-05 3.9552193e-05 0.019305237 0.00064649 0.0003366645 0.0024140964 0.0004016431 0.0009567864 0.0011564308 0.00029993747 0.00034984856 0.00028486998 0.00063707284 9.417189e-05 0.00031783013 0.00014502471 0.00028486998 0.0003343102 0.025885498 0.0011799738 0.001614577 0.0015025125 0.0042485646 0.0040588086 0.020762548 0.010941361 0.0003333685 0.0004901647 0.0005273626 0.00021989136 0.00042189006 0.00022036223 0.0001822226 0.0006992263 0.055718683 0.0075139753 0.0067751966 0.002218219 0.0023364045 0.0029188578 0.0044571557 0.0058137015 0.0019050974 0.0010161147 0.0011649063 0.00058339484 0.00067285815 0.0008145869 0.0009558447 0.0015670202 0.05551433 0.008713725 0.008253695 0.0028567042 0.0017040403 0.0025077974 0.0034033721 0.0066880877 0.0020529472 0.00097232475 0.0012783834 0.00080752396 0.00080046104 0.0010302404 0.0009902174 0.0017511263 0.013780643 0.0015425356 0.001199279 0.0009624367 0.001102282 0.0015463025 0.0016932106 0.0011507805 0.0009148799 0.00080093194 0.00062624307 0.00045202507 0.00061635504 0.0004411953 0.00047792235 0.00065826153 0.033912238 0.0037070764 0.0045277844 0.017391194 0.0038648143 0.0062327664 0.004754268 0.003386892 0.0042655156 0.0037522789 0.0031519332 0.0029824239 0.0030996678 0.0025049723 0.002730514 0.002917916 0.021694379 0.0040310277 0.003635506 0.002995608 0.0031067308 0.0054892795 0.0034203231 0.0023397007 0.0027884296 0.0031698258 0.0026796611 0.0018019791 0.001721933 0.0015279389 0.002964531 0.0050998786 0.01959152 0.0039735828 0.0027776 0.0034697633 0.004564041 0.010931473 0.0021946758 0.0033595823 0.0105100535 0.0043370863 0.0025925522 0.0030365726 0.009460038 0.0024668328 0.0059285914 0.013988293 0.053669974 0.013431266 0.017335633 0.013968046 0.019425778 0.025801215 0.008789534 0.013403014 0.0362849 0.014607472 0.0088177845 0.01003684 0.028969157 0.010825058 0.016888786 0.038507357 0.0027013207 0.0011559599 0.0026047945 0.0015472441 0.0016494207 0.0013391243 0.001202575 0.0009501944 0.0009666745 0.002539345 0.0014017486 0.0012077545 0.0010156438 0.00082871265 0.0005735068 0.0024239845 6124.0 13.595526 83259.0 0.011133932 0.0016694892 0.0033750106 0.0015133499 0.0034590855 0.0011530285 0.00048042854 0.0007206428 0.0024501856 0.0023661107 0.0011650393 0.0010689535 0.0029186034 0.0015253606 0.009800742 0.00052847137 0.009956881 0.006329646 0.0069301818 0.0061374744 0.008191307 0.005152596 0.006377689 0.005669057 0.007554739 0.0077108783 0.0060053566 0.0052246605 0.007674846 0.0054888963 0.0052727032 0.005416832 0.0031708283 0.013656181 0.010425299 0.01482122 0.01060546 0.025090382 0.0069782245 0.010245139 0.008539617 0.020898642 0.0011650393 0.0030387104 0.014424867 0.014749156 0.01110991 0.012347014 0.018304328 0.0006365678 0.01447291 0.024994295 0.02641156 0.006786053 0.007374578 0.008551628 0.0046241246 0.0047682533 0.0019457357 0.00252225 0.0028345285 0.0027384427 0.0022580142 0.022940462 0.0037473426 0.029486302 0.007518707 0.015746046 0.024297673 0.07014257 0.0032188713 0.00958455 0.009056078 0.03367804 0.0017055214 0.0044920067 0.027528556 0.018088134 0.034206513 0.04246988 0.012010713 0.0006485785 0.03585198 0.023540998 0.05635427 0.014340792 0.008155274 0.007530717 0.006245571 0.008887928 0.0023540999 0.0007206428 0.0026303462 0.0008767821 0.0005404821 0.00049243926 5.87512 0.0 0.0 0.0 2.0 1063424.0 1069056.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1268906200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 5.0 0.0 5.0 0.0 0.0 512.0 0.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -31744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -135168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -871424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4958363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.793501 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2293806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.857512 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24236.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -134964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -871040.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1184.0 163840.0 0.0 0.0 0.0 0.0 31620.0 1036288.0 56.0 1034480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 165024.0


Input: 0.50620973 0.004470006 0.0026696748 0.0021991755 0.0035379645 0.0018888463 0.0018524919 0.0019009644 0.0045922413 0.0015832589 0.0015521733 0.0015721945 0.0034510302 0.0015737751 0.0013619715 0.0036976077 0.0033783214 0.0015974845 0.0013298321 0.0013103377 0.0023082385 0.001624882 0.001393057 0.0012987464 0.0018424813 0.0014336264 0.0012781983 0.0013482727 0.0017945357 0.0011917909 0.001279779 0.0012892627 0.0022276267 0.001199694 0.0013013808 0.0013119184 0.002133843 0.0012713489 0.0012181347 0.0012381559 0.0015595495 0.0011754577 0.0011591247 0.0016528063 0.001456282 0.0018224601 0.0012724027 0.0011812533 0.0020590269 0.0015964308 0.0015579689 0.0028488121 0.0016470107 0.0015089695 0.0015226683 0.0014831526 0.00185618 0.0018129763 0.001654387 0.0023683023 0.0017697726 0.0016675588 0.0015089695 0.0021870574 0.0025237305 0.0016891607 0.001885685 0.0017091819 0.0016859995 0.007887843 0.003561674 0.002235003 0.0017307838 0.0012887359 0.0014299382 0.0012212959 0.0015837857 0.005690248 0.0013498534 0.001253962 0.0037476607 0.0022987549 0.0016891607 0.0017645038 0.0015911619 0.004123322 0.0021480687 0.0019857911 0.0014947439 0.002121198 0.0011938984 0.0014504864 0.002314561 0.0023630336 0.0016380538 0.0016744082 0.0014262502 0.0017439557 0.0012771446 0.0014114977 0.0019889525 0.0021517568 0.0022144548 0.0012629189 0.0019357381 0.0016022264 0.0024278392 0.0013071764 0.0019057062 0.0013451114 0.0016138176 0.00167072 0.0017197195 0.0012234034 0.00206693 0.0019394263 0.0039294325 0.004491608 0.0014641852 0.0013730358 0.0015537539 0.0013145527 0.0012260377 0.001224457 0.0014162395 0.0019415338 0.0013883152 0.001460497 0.0020152961 0.0015121307 0.0011881028 0.0055485186 0.0019889525 0.0037539832 0.0011923177 0.0011422646 0.001759762 0.0063799275 0.0015890545 0.014824677 0.0014083365 0.005210265 0.0011585978 0.001102749 0.0017249882 0.0011554365 0.0011369959 0.0012144465 0.001376724 0.0016138176 0.0011612321 0.0010890503 0.001380412 0.0011759846 0.0011348884 0.0011654472 0.001409917 0.001224984 0.0011391034 0.0011902102 0.0014568089 0.0014989589 0.001208124 0.0013156064 0.0013630252 0.0012702952 0.0011401571 0.0011633396 0.0014684001 0.0011417378 0.0011591247 0.0011823071 0.0013704015 0.0011069641 0.0011454258 0.0011248777 0.0015453239 0.0011275122 0.0011333078 0.001115394 0.001393057 0.0012850477 0.0017718801 0.0013893689 0.0018593413 0.0012618653 0.001224457 0.0011396302 0.0014915826 0.0013682939 0.0013651327 0.0013082302 0.00347632 0.0020563924 0.0019367919 0.002369356 0.0024515486 0.0013819927 0.002091693 0.0027070828 0.002003178 0.0017755682 0.0012481664 0.0014188739 0.00597318 0.0012887359 0.0014763033 0.0013682939 0.0018056 0.001312972 0.0014178202 0.0012139196 0.001557442 0.0011543827 0.0013340471 0.001195479 0.001944695 0.0013208752 0.0011838877 0.0013698746 0.0015985382 0.0013124452 0.0011896833 0.0012455321 0.0019647162 0.0012771446 0.0012223496 0.0011317271 0.0017976969 0.001599592 0.0012128658 0.0011749308 0.0068994258 0.0020258338 0.0012186614 0.0026291055 0.0033156234 0.001132254 0.0012002209 0.0012407902 0.0028988654 0.0013045421 0.0012892627 0.0012982195 0.0021649287 0.0011949522 0.0018482769 0.0015843126 0.002660191 0.0015627107 0.0014236158 0.0013951645 0.003670737 0.0018751476 0.0027671466 0.017488029 0.4611231 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010306109 1.3182539e-05 1.0546031e-06 7.9095236e-07 5.009365e-06 2.1092062e-06 2.3728571e-06 1.1336983e-05 1.5819047e-06 1.3182539e-06 1.3182539e-06 1.5819047e-06 1.5819047e-06 5.2730155e-07 7.9095236e-07 4.7457143e-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 0.00043185998 1.4764444e-05 2.0564761e-05 0.0 1.1073333e-05 1.4237142e-05 1.2391587e-05 8.964126e-06 2.9001585e-06 5.800317e-06 1.5819047e-06 2.1092062e-06 4.7457143e-06 0.0 2.6365078e-07 8.7004755e-06 0.0036636912 7.619508e-05 0.0001386803 3.4538254e-05 0.0003438006 6.4330794e-05 0.00029581616 0.00012576142 1.661e-05 7.8304285e-05 2.4783174e-05 1.6082698e-05 1.5291746e-05 1.661e-05 2.8210634e-05 0.00046086157 0.0056935386 0.00017638237 0.00022647603 9.122317e-05 0.0005673765 0.00016451809 0.00027894252 0.00018930127 4.9302696e-05 0.00011468809 9.4914285e-05 4.350238e-05 4.376603e-05 7.487682e-05 0.0001355165 0.00069498346 0.0048066173 0.00020960237 0.00035751046 7.751333e-05 0.00063724397 0.00026866014 0.0010548668 0.00057396776 4.5347933e-05 6.485809e-05 0.000102823804 6.723095e-05 3.401095e-05 6.090333e-05 3.7965714e-05 0.00024018587 0.00392286 0.00017400952 0.0003659473 0.00019826539 0.0010221741 0.00035012825 0.0016180249 0.00083603663 8.120444e-05 0.00012233396 0.00011020603 6.74946e-05 4.9566348e-05 7.2767616e-05 6.222158e-05 0.00012602507 0.0026198977 0.00011521539 0.0002865884 0.00020775682 0.00058794126 0.00034010952 0.0007548322 0.0005555122 0.00014237143 8.9377616e-05 8.753206e-05 9.359603e-05 0.00027446047 5.747587e-05 0.00012997983 0.00013683476 0.0027817795 0.0005523484 0.0005404841 0.004911814 0.00090880424 0.00055788504 0.00089799456 0.00066993665 0.0004210503 0.00032297222 0.00035777412 0.00037649332 0.00067995535 0.0003322 0.00039125775 0.00041604094 0.005080287 0.0005797681 0.00048880855 0.000746659 0.0026072427 0.0015795318 0.0006079787 0.00063328916 0.0054989643 0.0004948725 0.0003074168 0.0004927633 0.0019030314 0.0005657946 0.0016066879 0.004884658 0.021523131 0.0035308113 0.0021896197 0.0029194052 0.0095721055 0.0073719397 0.0027498777 0.0043125357 0.017873414 0.0013815301 0.001206466 0.0021498085 0.009743742 0.0021830285 0.0071349177 0.013228942 0.014483129 0.0036146522 0.0019668348 0.0029085954 0.0057417867 0.0062416685 0.0023586198 0.0050776503 0.0111906575 0.0010820228 0.0010490664 0.0016762917 0.005609434 0.0020577942 0.004985636 0.00932981 0.016951427 0.016643219 0.016597344 0.01681512 0.016733387 0.016651656 0.01665403 0.016750526 0.016480284 0.01654356 0.01677188 0.016799036 0.016679866 0.01674288 0.016544614 0.01691979 3856.0 9.190612 35439.0 0.02404131 0.0044865827 0.0038093626 0.004458365 0.0128389625 0.005474195 0.0045430176 0.006800418 0.0071672453 0.00440193 0.0043737125 0.005812805 0.0071954625 0.008493467 0.00970682 0.0047123227 0.016394367 0.012020655 0.012274613 0.010920173 0.012500353 0.011766697 0.011879568 0.0104686925 0.014278055 0.012867181 0.015039927 0.012218177 0.015632495 0.01027117 0.0100172125 0.017635938 0.027822455 0.009791473 0.0055588474 0.00711081 0.008973165 0.006800418 0.007872683 0.0062078503 0.0071390276 0.0060667624 0.004458365 0.0045994525 0.0076187253 0.0057563703 0.005361325 0.00485341 0.012359265 0.0050227153 0.00609498 0.00891673 0.00857812 0.0067722 0.011371653 0.009904343 0.00756229 0.0056435 0.0047687576 0.00541776 0.0076469425 0.0047687576 0.005248455 0.013234008 0.00744942 0.024295269 0.010299387 0.015971106 0.01941364 0.03566692 0.010637998 0.008437033 0.0100172125 0.020401252 0.006828635 0.00530489 0.018030982 0.011004825 0.019272553 0.026891278 0.012359265 0.0047123227 0.025677925 0.021360649 0.036626317 0.012359265 0.008098423 0.0061231977 0.010073648 0.008549903 0.0051073674 0.0045712353 0.0068568527 0.004006885 0.0049944976 0.0047969753 6.339657 0.0 0.0 0.0 15.0 1897984.0 1912832.0 1.0 0.0 82.0 1.0 1.0 0.0 1.0 0.0 1541505500.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 392704.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1470976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392704.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.57779 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9450579 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8143864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5011854 0.0 4.380197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1470620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392696.0 0.0 1664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1866040.0 1664.0 1888256.0 0.0 0.0 0.0 0.0 18516.0 1892352.0 28.0 458112.0 0.0 0.0 0.0 0.0 24.0 458304.0 64.0 458144.0 0.0 0.0 332.0 397312.0 0.0 0.0 0.0 0.0


Input: 0.14253302 0.003798141 0.0035461248 0.004418158 0.0036162883 0.003365704 0.0034995875 0.0033334862 0.003478109 0.0031881472 0.0033005523 0.00336642 0.0033900465 0.0032762096 0.0033721477 0.0034494707 0.003507463 0.0032003184 0.0031945908 0.0032976884 0.0032933925 0.0034401633 0.0032361161 0.0033571126 0.0031802717 0.0032805053 0.00320533 0.0032504352 0.003284085 0.003318451 0.003319167 0.0033327702 0.0033878987 0.003143042 0.0031967387 0.0032439916 0.0032318204 0.0034115252 0.0032038982 0.0033728636 0.003286233 0.0032933925 0.0032275247 0.0034172528 0.0032418438 0.0032933925 0.0032955403 0.0032604586 0.003305564 0.0032332523 0.0032411278 0.003383603 0.003334202 0.0032246609 0.0032783574 0.0033141554 0.0032819372 0.0032146375 0.0032747777 0.0034372995 0.0031938748 0.0033320542 0.0033699998 0.003461642 0.0033929104 0.0034072294 0.0031938748 0.003304848 0.0032203651 0.005974644 0.0033291904 0.0033470893 0.0031573612 0.0031788398 0.0032153535 0.0032482874 0.003334202 0.0033485212 0.00326905 0.0033621243 0.0033807391 0.0033155873 0.0031695324 0.0034580622 0.0032890968 0.0033299064 0.0032518671 0.0032833691 0.003223229 0.003367136 0.0032719139 0.0031852834 0.0032260928 0.0033599765 0.0032604586 0.0033900465 0.0033907625 0.0032955403 0.0031666686 0.0032812213 0.0033270426 0.003508179 0.0031845674 0.0032790734 0.0034745291 0.0032654703 0.0034179688 0.0032976884 0.0033642722 0.0032604586 0.0032640384 0.0033542488 0.0033320542 0.0031838515 0.0033571126 0.0033585445 0.0036971911 0.003558296 0.003284085 0.0033492371 0.0034115252 0.0032898127 0.0032812213 0.0032439916 0.0033943423 0.0036119926 0.0033435095 0.0034387314 0.0036076969 0.0033635562 0.0032031822 0.0037372846 0.0033084278 0.0033256107 0.0032189332 0.00330628 0.0033027001 0.004130344 0.003320599 0.0044847415 0.0031967387 0.0033334862 0.0032568788 0.003491712 0.0032518671 0.0032890968 0.003284085 0.0032590267 0.003351385 0.0032740617 0.0033134394 0.0033592605 0.003320599 0.0032984044 0.003222513 0.0032167854 0.0033578286 0.0032883808 0.0032941084 0.0033069958 0.0033492371 0.0033914784 0.0031874313 0.0033241787 0.0032461395 0.0032346842 0.0034244123 0.0033742955 0.0032754936 0.0033105756 0.0032812213 0.0031953068 0.0033377819 0.0032447076 0.0032575948 0.0032926765 0.0033957742 0.0033069958 0.0033134394 0.0032160694 0.0033936263 0.0032003184 0.003334918 0.003319883 0.0033635562 0.0031945908 0.0032332523 0.0032726298 0.0034050816 0.003268334 0.0033893306 0.003382171 0.0036907475 0.0033155873 0.0033241787 0.0033771594 0.0033728636 0.0032826532 0.0032260928 0.0034165368 0.0033850349 0.0033628403 0.00326905 0.0033435095 0.0034179688 0.003319883 0.0032046142 0.0033406457 0.0034115252 0.0033735796 0.0032561629 0.0033320542 0.003397922 0.0031867153 0.0033929104 0.0033864668 0.0034895642 0.0033105756 0.0032797894 0.0033227468 0.0033563967 0.003221797 0.0032890968 0.003444459 0.0034415952 0.003208194 0.0032432757 0.0031845674 0.0034050816 0.0033606924 0.0032003184 0.0032812213 0.0035361012 0.0034330038 0.0033234628 0.003682872 0.0034659377 0.0032769255 0.0032819372 0.0035804906 0.0037881176 0.0032948244 0.0033929104 0.0032941084 0.0035554322 0.0034057975 0.0032461395 0.0035182023 0.003559728 0.0034050816 0.0036034011 0.0034194007 0.0036749966 0.003588366 0.0034365836 0.0044854577 0.025671126 1.4329604e-06 1.4329604e-06 0.0 0.0 0.0 0.0 3.582401e-07 0.0 0.0 0.0 0.0 3.582401e-07 1.4329604e-06 1.0747203e-06 1.4329604e-06 0.001392121 1.6120805e-05 1.3613124e-05 1.0747203e-06 2.5076806e-06 6.0900816e-06 1.0747203e-06 1.0747203e-06 1.0388962e-05 3.582401e-07 6.0900816e-06 7.164802e-07 1.7912005e-06 3.2241608e-06 3.2241608e-06 7.881282e-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 0.0006387421 4.6571213e-06 2.1494407e-06 1.7912005e-06 3.2241608e-06 2.1136166e-05 2.8659208e-06 6.4483215e-06 2.8659208e-06 1.7912005e-06 1.7912005e-06 2.8659208e-06 9.314243e-06 1.8986724e-05 1.4329604e-06 1.3613124e-05 0.0012198075 4.6929454e-05 5.7318416e-06 4.6571213e-06 3.940641e-05 4.6571213e-06 3.2241608e-06 1.1463683e-05 2.9733928e-05 4.3347052e-05 2.5076806e-06 9.6724825e-06 9.6724825e-06 9.314243e-06 1.3613124e-05 1.3613124e-05 0.00059575326 2.0419686e-05 1.4687844e-05 2.1494407e-06 4.2988813e-06 2.4002087e-05 3.582401e-06 6.4483215e-06 1.0747203e-05 1.7912005e-06 2.1494407e-06 2.8659208e-06 1.00307225e-05 1.8986724e-05 2.1494407e-06 1.3613124e-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 0.00053377775 1.3613124e-05 1.2180163e-05 1.2538403e-05 1.1821923e-05 1.5046084e-05 8.239522e-06 1.4329604e-05 1.2538403e-05 1.2538403e-05 1.7195525e-05 6.0900816e-06 1.8270244e-05 1.4329604e-05 1.0388962e-05 2.0777925e-05 0.00042451452 4.6571213e-06 2.9017448e-05 3.367457e-05 3.0450408e-05 1.8986724e-05 0.00012466755 5.8034897e-05 1.0747203e-06 0.0 3.582401e-06 2.8659208e-06 0.0 7.164802e-07 7.164802e-07 7.164802e-07 0.0012018955 3.833169e-05 3.2958087e-05 3.618225e-05 7.272274e-05 5.5885455e-05 0.00022139237 0.00012251812 2.6868007e-05 3.761521e-05 7.021506e-05 2.2210887e-05 3.976465e-05 7.308098e-05 1.7195525e-05 0.0001321906 0.0015389995 0.00010138195 7.558866e-05 5.0511855e-05 8.31117e-05 8.9201785e-05 0.00021995942 0.00014257956 5.6243694e-05 0.00013075763 8.3828185e-05 7.630514e-05 6.484146e-05 5.4452496e-05 4.7287693e-05 0.00011965219 0.0024815293 8.6694105e-05 0.00010388963 0.000102814905 0.00022139237 0.00013362356 0.00019631557 0.00014365428 0.00022891542 0.00015261029 0.00016801461 0.00014222132 0.00019559909 0.00018700134 0.00023178135 0.00035967305 0.0013276378 7.3439216e-05 0.00012538403 0.00014544548 0.0014003605 4.6212972e-05 0.00015511796 0.00027835256 0.0009640241 9.135123e-05 0.00015511796 0.00027835256 0.0003199084 0.00030844472 0.00047036924 0.0004635627 0.0023414572 0.0003270732 0.00032993912 0.00028874152 0.0015884365 0.0004653539 0.00018198598 0.00053664367 0.0016812207 0.00016765637 0.00025793287 0.00029518985 0.00063551794 0.00040696075 0.0005670941 0.0009339319 0.0017786621 0.00032277431 0.00022175063 0.00031238535 0.00045245723 0.00047216043 0.00027835256 0.0004449342 0.00088843546 0.00018950901 0.00024539448 0.00020061445 0.0005101339 0.0003618225 0.00053485244 0.00085619383 0.15344857 0.051668253 0.051557913 0.051911138 0.05139384 0.05143468 0.05169118 0.05237291 0.05170945 0.051894303 0.05174348 0.05198243 0.05186564 0.05203079 0.052032225 0.053765032 3623.0 5.767044 20894.0 0.009572126 0.010290035 0.009093519 0.008806356 0.009619987 0.0125394855 0.009763569 0.009093519 0.009524265 0.009428544 0.010146454 0.010146454 0.009907151 0.010050733 0.010146454 0.008949938 0.008902078 0.010385756 0.008279889 0.010194314 0.013496698 0.009284962 0.009045659 0.010194314 0.009237101 0.009955011 0.010050733 0.010385756 0.010002872 0.009619987 0.008471332 0.009955011 0.010242174 0.011630133 0.008854217 0.010768642 0.009237101 0.011151527 0.010290035 0.012060879 0.009763569 0.009380683 0.009332823 0.009667847 0.010577199 0.010912224 0.009332823 0.009811429 0.011055806 0.009955011 0.010385756 0.012108739 0.010912224 0.010816502 0.010433617 0.009189241 0.010002872 0.011534411 0.009284962 0.008567053 0.008710635 0.011055806 0.010577199 0.009332823 0.009524265 0.012108739 0.012060879 0.010481478 0.011582272 0.016416196 0.010768642 0.010194314 0.016799081 0.012204461 0.010529338 0.009907151 0.013018091 0.011055806 0.011007945 0.011151527 0.010050733 0.009811429 0.013783861 0.011007945 0.014645353 0.009428544 0.010146454 0.010433617 0.010816502 0.010002872 0.010577199 0.009476405 0.009237101 0.010337896 0.009955011 0.010002872 6.5719266 0.0 0.0 0.0 19.0 1396736.0 10006528.0 0.0 0.0 58.0 0.0 1.0 0.0 0.0 0.0 1461137700.0 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 10.0 5.0 0.0 62464.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1229312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -2048.0 101888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5305853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9206874 -5.3114686 7.6995535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9826588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62460.0 -1710.0 101884.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 9900276.0 101884.0 9904128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 9900032.0 0.0 0.0 0.0 0.0


Input: 0.29676157 0.009319267 0.0059481533 0.00737354 0.009102253 0.0036621094 0.0030406604 0.0026830807 0.009447502 0.0022589173 0.0019013376 0.0017287129 0.0074203955 0.0022539853 0.0015018347 0.009245285 0.005901298 0.0011491872 0.0012404317 0.0012700245 0.0031960227 0.0029420177 0.0012182371 0.00095190183 0.002835977 0.00094450364 0.00086805556 0.0010184856 0.0023501618 0.0013686671 0.0008877841 0.0013119476 0.004858152 0.0009469697 0.00074228615 0.0013538707 0.0066115255 0.001437717 0.0007176255 0.0007792771 0.0014673098 0.00056226325 0.00074475224 0.0015264954 0.0012601602 0.0011664496 0.0008261324 0.00073488796 0.0032206834 0.0019703875 0.0016497988 0.0051022926 0.0029050268 0.002574574 0.001805161 0.0043008206 0.0090726605 0.0051392834 0.002024641 0.0046879933 0.0029765428 0.0035141453 0.0022663155 0.0060246014 0.004801432 0.0020887586 0.0013390743 0.001546224 0.00331686 0.011647234 0.003684304 0.001472242 0.002616497 0.0011121961 0.00068803265 0.00061898277 0.0016276041 0.0046140114 0.0014895045 0.00080640387 0.007122001 0.0022539853 0.00081380206 0.0032626064 0.0013760653 0.0025523792 0.004453717 0.0030061356 0.0015881471 0.00678415 0.0007792771 0.0013686671 0.0013809975 0.0028680358 0.0023181029 0.0042564315 0.0017262468 0.0030135338 0.0013908617 0.0024488044 0.0022219263 0.005343967 0.006379715 0.0012009746 0.0034229008 0.0027373342 0.0050579035 0.00063624524 0.0027422665 0.0016695273 0.002757063 0.002470999 0.0026954112 0.0005277383 0.0033267243 0.0030825837 0.0134129375 0.0128630055 0.0016991202 0.0017163826 0.001583215 0.0009099787 0.00067570235 0.00062144885 0.014835859 0.0027841895 0.0014697759 0.0015043009 0.0042613638 0.0021134194 0.0010012232 0.01578776 0.003575797 0.008409288 0.0005277383 0.00051047583 0.0017706361 0.009203361 0.0018594145 0.020014599 0.00087545376 0.0075806896 0.0005376026 0.0006658381 0.0011861782 0.0005302044 0.00041183317 0.00046608664 0.0008507931 0.000626381 0.00054006866 0.00046362058 0.0009716304 0.0008409288 0.0005006116 0.00069049874 0.0008285985 0.0008261324 0.0005203401 0.00054746686 0.0018174914 0.0023550938 0.0011343908 0.0009814947 0.00093710545 0.0007299558 0.00041429925 0.00044882417 0.0011171283 0.00062144885 0.00040196892 0.00049074733 0.00080147176 0.00036991003 0.0004463581 0.00040690103 0.00089025014 0.00030086018 0.00038470645 0.00039210464 0.00075215043 0.000774345 0.0011195944 0.0014253866 0.0020517677 0.0010949337 0.000737354 0.00054006866 0.0011023319 0.0017681699 0.0012798887 0.0012946852 0.007886482 0.0029716108 0.0015314276 0.0061774976 0.003760752 0.0006510417 0.0028458412 0.0030357284 0.002399483 0.0027151396 0.0008532592 0.0008335306 0.001035748 0.00053267047 0.00080147176 0.0006609059 0.0017928306 0.0011294587 0.0012848208 0.0009321733 0.0010382142 0.0005943221 0.0007866754 0.00076448073 0.0024537365 0.0023698902 0.00074968435 0.0019481928 0.001879143 0.0031146426 0.00080147176 0.0012453638 0.0038519965 0.0012281013 0.0010752052 0.0009001144 0.0024192117 0.0006041864 0.0008631234 0.00061651674 0.015943123 0.0031417692 0.0007891414 0.006268742 0.0030036694 0.00057705963 0.0007891414 0.00090504653 0.0033217922 0.000919843 0.001176314 0.0011713818 0.0016424005 0.0007225576 0.0031590317 0.0028557056 0.0049789893 0.0017878985 0.0012305673 0.0015289615 0.005311908 0.0037632182 0.007575758 0.04876401 0.17212717 0.0 0.0 2.4723101e-06 1.2361551e-06 6.1807755e-06 0.0 3.708465e-06 1.2361551e-06 1.2361551e-06 0.0 2.4723101e-06 0.0 1.2361551e-06 0.0 4.9446203e-06 0.0049087717 4.9446203e-06 1.8542325e-05 1.6070016e-05 3.708465e-06 0.0 2.4723102e-05 2.3486946e-05 8.653085e-06 7.41693e-06 6.1807755e-06 1.2361551e-06 1.2361551e-05 4.9446203e-06 3.708465e-06 1.8542325e-05 0.006971915 4.573774e-05 2.8431567e-05 0.000111253954 1.9778481e-05 2.3486946e-05 1.9778481e-05 0.00011619858 2.1014635e-05 1.8542325e-05 7.664161e-05 2.7195412e-05 2.3486946e-05 1.483386e-05 1.3597706e-05 6.304391e-05 0.00451073 5.0682356e-05 4.079312e-05 7.664161e-05 3.461234e-05 1.730617e-05 5.809929e-05 5.933544e-05 3.0903877e-05 3.8320806e-05 3.461234e-05 2.1014635e-05 2.2250792e-05 1.730617e-05 1.3597706e-05 3.708465e-05 0.004175732 4.202927e-05 4.8210048e-05 0.00013721321 6.798853e-05 4.4501583e-05 0.00018665941 0.00017677018 1.8542325e-05 9.889241e-06 6.4280066e-05 1.9778481e-05 9.889241e-06 6.1807755e-06 6.1807755e-06 4.9446204e-05 0.004144828 6.675237e-05 5.315467e-05 8.9003166e-05 0.00010878165 5.1918512e-05 0.0002175633 0.000111253954 3.2140033e-05 2.7195412e-05 2.4723102e-05 2.8431567e-05 1.6070016e-05 2.3486946e-05 2.3486946e-05 4.4501583e-05 0.00032387263 0.0 0.0 3.3376185e-05 0.0 9.889241e-05 0.0011422073 0.0009332971 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048111156 3.461234e-05 5.0682356e-05 0.00042276504 0.0001458663 0.0017392702 0.0062858486 0.0036169898 0.00011249011 0.00023239716 2.1014635e-05 1.9778481e-05 2.1014635e-05 2.1014635e-05 3.8320806e-05 0.0001483386 0.008135136 0.00029544107 0.0005760483 0.00082080695 0.0007132615 0.0008566555 0.0030174544 0.0019432358 0.00032387263 0.00027566258 8.9003166e-05 6.798853e-05 9.023932e-05 0.00013844937 0.00011496242 0.00026330102 0.009167326 0.00034488726 0.00037331882 0.0014598991 0.0006440368 0.0005068236 0.00239196 0.0016255439 0.0003436511 0.00020272942 0.00024228639 0.00019902097 0.00031274723 0.00041163963 0.0011187203 0.000908574 0.005364913 0.00026206486 0.00063414755 0.0006390922 0.0007837223 0.00057110365 0.0030545392 0.001970431 0.000111253954 0.00018542325 0.00010878165 9.023932e-05 0.00017429786 0.00048580894 0.0002558841 0.0004981705 0.020395322 0.0019642503 0.0026280656 0.016495254 0.003410552 0.0026033425 0.0067271558 0.0051844344 0.0015365407 0.001865358 0.0014809137 0.0013894383 0.0015810423 0.0015760977 0.0018196203 0.0027603342 0.014359177 0.0019086234 0.0013041436 0.0037208267 0.0024784908 0.0015192346 0.0016786986 0.002073032 0.0047455993 0.0009716179 0.0008306962 0.0013832576 0.0016725179 0.0010630933 0.0021459651 0.008777937 0.02813489 0.0042758603 0.004709751 0.0062920293 0.0062462916 0.0055206683 0.004120105 0.007917573 0.014212075 0.00153036 0.0018159117 0.0024821993 0.0066900714 0.003642949 0.006256181 0.015140427 0.08413642 0.019809386 0.014980963 0.028233781 0.028416732 0.032405805 0.015754797 0.03759024 0.05703372 0.0049594543 0.008391021 0.009705054 0.027793711 0.01512683 0.030901404 0.060710046 0.00071944227 0.00038568038 0.00032016417 0.00079113926 0.00047715585 0.0003251088 0.0006020075 0.0004919897 0.00035848498 0.00047221122 0.00031151107 0.00049446203 0.0003659019 0.00040793116 0.0003683742 0.00070337224 2605.0 9.772361 25457.0 0.020780139 0.0014534313 0.0017676867 0.0023961975 0.0032604 0.001610559 0.0010213301 0.0030247082 0.0034960913 0.0008642024 0.001610559 0.0016498409 0.0025140434 0.004713831 0.0024747613 0.0018462505 0.011745296 0.008406333 0.0071100285 0.0076599754 0.011195349 0.00734572 0.009113407 0.014023648 0.017794713 0.009702636 0.008209922 0.009074125 0.009309816 0.006402954 0.005420906 0.009545508 0.010527556 0.00895628 0.0045567034 0.008013513 0.00428173 0.007895667 0.007463566 0.004713831 0.0076599754 0.00530306 0.0018462505 0.0013748674 0.004831677 0.0029854265 0.004595985 0.0029854265 0.009820482 0.0034960913 0.0044388575 0.011745296 0.005656597 0.0041246023 0.008327768 0.0068743373 0.0041246023 0.006442236 0.0038103468 0.002121224 0.0020033782 0.0018069686 0.0021605059 0.04120674 0.0039674747 0.035000198 0.013080882 0.028597243 0.018658916 0.05837294 0.015673488 0.010684684 0.014180776 0.03484307 0.0076599754 0.0034175275 0.025454689 0.018619632 0.035314452 0.030207802 0.024197666 0.0010213301 0.035707273 0.033350356 0.05609459 0.017009074 0.007581412 0.0121773975 0.0074242842 0.0065600816 0.0018069686 0.0016891229 0.024904741 0.0011391758 0.001060612 0.0018462505 5.908331 0.0 0.0 0.0 3.0 405504.0 409600.0 1.0 837.0 154.0 1.0 1.0 0.0 0.0 0.0 1026187260.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 233472.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -233472.0 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 -6.7340717 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.265802 0.0 0.0 -0.5577406 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4836056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7672315 0.0 3.389357 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11092.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65440.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -232308.0 0.0 952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 -2.0 0.0 3.0 -3.0 1.0 5.0 -4.0 4.0 5.0 -4.0 2.0 1.0 -1.0 0.0 0.0 0.0 1.0 4.0 3.0 3.0 5.0 -2.0 -4.0 2.0 -2.0 0.0 0.0 -3.0 0.0 -2.0 -1.0 1.0 3.0 0.0 3.0 5.0 -1.0 3.0 -2.0 -3.0 4.0 1.0 0.0 -7.0 -3.0 0.0 0.0 -2.0 -2.0 4.0 -1.0 -3.0 2.0 0.0 -3.0 0.0 2.0 3.0 -2.0 3.0 2.0 -1.0 -2.0 -6.0 -2.0 2.0 4.0 4.0 -3.0 -3.0 4.0 4.0 -2.0 5.0 -2.0 0.0 5.0 -2.0 -2.0 -6.0 -3.0 0.0 2.0 6.0 -3.0 0.0 -2.0 0.0 -1.0 4.0 4.0 -1.0 -2.0 -3.0 3.0 -3.0 -4.0 2.0 0.0 1.0 -1.0 0.0 -1.0 4.0 -3.0 -5.0 2.0 -2.0 -4.0 4.0 0.0 -2.0 2.0 3.0 6.0 -1.0 -2.0 5.0 0.0 -2.0 5.0 2.0 0.0 -2.0 17376.0 240756.0 40.0 299512.0 952.0 331776.0 0.0 0.0 0.0 0.0 11092.0 335872.0 56.0 236308.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 298968.0 0.0 0.0 620.0 237568.0 0.0 0.0 0.0 0.0