Input: 0.14198628 0.008603051 0.004172641 0.003412965 0.0062211636 0.003935939 0.0020224978 0.0019543376 0.007858247 0.0015057198 0.0016965683 0.0015007628 0.004559295 0.0013681602 0.0012268829 0.0038776933 0.0061443285 0.0015007628 0.0011835082 0.00089351775 0.00246368 0.0019766446 0.0007658723 0.00082411827 0.0023013349 0.0007534796 0.0008290754 0.00071010494 0.0016135368 0.00060352724 0.000593613 0.00056510966 0.003880172 0.00058617734 0.000651859 0.00054280274 0.0041540517 0.00131735 0.00046472836 0.0005613919 0.0011835082 0.0006530983 0.0005836988 0.00094308873 0.0011054338 0.0023422309 0.0006766445 0.0005180172 0.005341278 0.0027053386 0.0029023835 0.010100096 0.0030337467 0.0019035273 0.0024289803 0.0016184939 0.0035368926 0.0019667305 0.000715062 0.0014834129 0.001668065 0.00097654917 0.00046596763 0.0005291707 0.011784272 0.0039322213 0.004906292 0.008836036 0.0038727364 0.03259295 0.0032716875 0.002711535 0.0033869403 0.003551764 0.0021910393 0.0023571022 0.0027127743 0.004391993 0.0011612013 0.001532984 0.009069019 0.0021464254 0.0020584369 0.009766731 0.0032084845 0.013852623 0.0032258343 0.0020980935 0.0019283128 0.0065210685 0.0027449955 0.0032630127 0.0015676836 0.0046423264 0.0023806484 0.0036087707 0.0057713063 0.0044304105 0.0017238323 0.0032530986 0.010297141 0.006133175 0.003939657 0.0015676836 0.008890564 0.004234605 0.0036744522 0.0013917065 0.0045617735 0.0017560535 0.0044056247 0.0040264064 0.004163966 0.0016978076 0.0048591997 0.00386654 0.011204291 0.0055730226 0.0017486179 0.0010955196 0.0038603435 0.0012653004 0.0005316492 0.0005911345 0.0016556722 0.0025219258 0.0010645378 0.00087616785 0.0052520502 0.001159962 0.0010905626 0.009077694 0.0031266925 0.003232031 0.0010360344 0.00061963784 0.0026669211 0.015213347 0.0022368925 0.051811635 0.0011983796 0.011018399 0.000858818 0.0006816016 0.0026607248 0.00044489995 0.0007286941 0.0006469019 0.0011252622 0.00093813165 0.0015143948 0.0005688275 0.0011760725 0.0005898952 0.0005006674 0.0007138228 0.00095796003 0.00047712112 0.00046596763 0.00042011443 0.0008984748 0.0033348906 0.0004672069 0.0025553864 0.0014264062 0.0008191612 0.00056510966 0.00045357487 0.0010484272 0.00045853198 0.00051058154 0.00048827459 0.0008489038 0.00045109633 0.0007435654 0.0006592946 0.0013272642 0.0006865587 0.0017337466 0.0005378456 0.0008798857 0.00067168736 0.0007138228 0.001582555 0.003156435 0.0025392757 0.0046596765 0.00082535757 0.001002574 0.00048083893 0.00085510017 0.0007163013 0.012019734 0.001151287 0.0022914207 0.010369019 0.004365968 0.00106082 0.0035641566 0.0033745475 0.0018737847 0.0017684463 0.0009852241 0.0013049572 0.0016854148 0.000894757 0.0009938991 0.000944328 0.0028800766 0.0011525264 0.0029804579 0.0013557675 0.0018167781 0.00076959014 0.0016073405 0.00087740715 0.0033745475 0.0006555768 0.001088084 0.0017907532 0.0014995235 0.00072001916 0.0005638704 0.0008439467 0.0024438514 0.0006592946 0.0008798857 0.0009926598 0.002437655 0.0024364158 0.00055147766 0.00069523364 0.02766311 0.0060377507 0.0010955196 0.0059113447 0.006545854 0.0010447094 0.0006816016 0.00075595814 0.007257198 0.0009790277 0.0018204959 0.0009207818 0.009155768 0.0021749288 0.004104481 0.0025987609 0.010087703 0.0030597716 0.0030796 0.0036199242 0.0149184 0.0040040994 0.0043102005 0.069071025 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018296588 0.0 0.0 0.001134773 0.00084751233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008333664 0.0 0.0 0.005297262 0.004158146 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002089 0.0 0.0 0.0023861877 0.0018780525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005515655 3.7226016e-06 1.7992576e-05 6.700683e-05 0.00014890407 7.56929e-05 6.204336e-06 7.445203e-06 1.5510841e-05 0.0 0.0 1.8613008e-06 8.065637e-06 3.102168e-06 4.9634687e-06 0.00035861062 0.006099483 0.00020598396 0.00021342916 0.00055094506 0.001911556 0.00048828125 0.002448231 0.0010652845 0.00019481615 0.000100510246 9.244461e-05 7.5072465e-05 0.0006719296 0.0003803258 0.0004008001 0.0028899799 0.013328775 0.00064152834 0.0009461613 0.002082175 0.004130847 0.0036103032 0.006969331 0.003210744 0.0004541574 0.00023576478 0.00031083723 0.0003306911 0.002083416 0.0011049922 0.0011223644 0.008993185 0.020780183 0.001303531 0.0012340425 0.002079073 0.0073198755 0.0025623909 0.0066944784 0.003257897 0.0023930124 0.0009753216 0.0009771829 0.001336414 0.0040601175 0.0026511129 0.0026753098 0.009585699 0.020234821 0.0015628722 0.001252035 0.0022689258 0.009433073 0.004046468 0.005889156 0.003409903 0.0058153244 0.0014145887 0.001780024 0.0023067722 0.0038653014 0.0017738197 0.004047709 0.0096793845 0.07409777 0.009828289 0.007288854 0.010092594 0.04211007 0.030638253 0.021328647 0.013968443 0.051533215 0.005297262 0.0060622566 0.009153257 0.016806927 0.0070816292 0.0274728 0.06114063 0.06032786 0.010141607 0.00912906 0.011685247 0.028152796 0.030641975 0.017691664 0.014627343 0.04987852 0.005892258 0.006490356 0.009161322 0.021123903 0.010950653 0.02511267 0.048586156 0.00023390347 4.777339e-05 8.6240274e-05 5.2116422e-05 9.058331e-05 9.9269375e-05 4.343035e-05 6.576596e-05 0.00013463409 2.916038e-05 3.3503416e-05 2.916038e-05 8.437897e-05 6.018206e-05 7.3211166e-05 0.000107335014 5347.0 16.24294 86851.0 0.005388539 0.0001266537 0.0005526707 9.2111775e-05 0.003316024 0.0005641846 0.0001266537 0.00017270958 0.00039147504 0.00040298904 0.00072538026 0.0005756986 0.0004951008 0.014104616 0.0011168553 0.0004605589 0.021485072 0.016591635 0.022256508 0.011778793 0.017984824 0.013644057 0.018721718 0.01086919 0.021208737 0.013724655 0.000817492 0.0005066148 0.0009441457 0.00052964274 0.00011513972 0.00013816767 0.0013471347 0.008439742 0.0073228865 0.0143579235 0.007058065 0.015958365 0.0046746726 0.0030396886 0.00487041 0.017409125 0.002429448 0.0039492925 0.0067471876 0.006597506 0.0043868236 0.009119066 0.012768995 0.0025906437 0.0059181815 0.020253077 0.012930191 0.006194517 0.005837584 0.0034541916 0.0027518393 0.0052964273 0.0015083303 0.0029590908 0.0011513972 0.0027633533 0.0028784932 0.021957144 0.0002533074 0.030304775 0.01237752 0.026240343 0.035002474 0.051916502 0.011018871 0.01002867 0.027806243 0.033977732 0.006908383 0.006620534 0.03321781 0.01165214 0.036821682 0.03330992 0.027495366 0.002498532 0.037466466 0.028013494 0.04974036 0.010811619 0.009925044 0.005457623 0.022947347 0.00660902 0.0010362575 0.0002878493 0.0005411567 0.0002533074 0.00029936328 0.00031087725 5.7450705 0.0 2.0 14.0 4.0 806923.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 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 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.579386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14296392 0.008662287 0.004201371 0.0034364648 0.006263999 0.0039630397 0.0020364234 0.001967794 0.007912354 0.0015160873 0.0017082499 0.0015110961 0.004590688 0.0013775806 0.0012353305 0.003904393 0.006186635 0.0015110961 0.0011916572 0.00089966995 0.0024806433 0.0019902545 0.0007711457 0.0008297927 0.0023171804 0.0007586676 0.0008347839 0.00071499427 0.0016246467 0.00060768274 0.0005977003 0.00056900067 0.0039068884 0.00059021346 0.0006563473 0.00054654013 0.0041826544 0.0013264205 0.0004679282 0.0005652573 0.0011916572 0.0006575951 0.0005877178 0.0009495823 0.0011130453 0.0023583581 0.00068130344 0.00052158395 0.005363081 0.0027077445 0.0029098894 0.010184613 0.0030072185 0.0019428378 0.0024145094 0.0016371248 0.003500103 0.001987759 0.0007199855 0.0014936269 0.0016795503 0.0009832731 0.000469176 0.00053281424 0.011865411 0.0039592963 0.004940074 0.008896875 0.0038994018 0.032817364 0.0032942146 0.0027302052 0.0034102607 0.0035762193 0.0022061255 0.002373332 0.002731453 0.0044222334 0.0011691966 0.0015435391 0.009131463 0.0021612043 0.00207261 0.009833979 0.0032305764 0.013948004 0.0032480457 0.00211254 0.0019415901 0.0065659685 0.002763896 0.00328548 0.0015784778 0.004674291 0.0023970401 0.0036336184 0.0058110445 0.0044484376 0.001694524 0.003271754 0.009291182 0.0062078475 0.0039143753 0.0015859647 0.0077725993 0.004286222 0.0036585745 0.0014000412 0.0034664122 0.0017494275 0.004373569 0.004066608 0.0030658655 0.0017332061 0.004917613 0.0038819325 0.01023203 0.0056138905 0.0017619056 0.0011392492 0.0027688872 0.0012740125 0.00053530984 0.00059520465 0.0016670722 0.0025392903 0.0010718675 0.00088220066 0.0052882126 0.0011679488 0.0010980715 0.009140197 0.003148221 0.0032542846 0.0010431679 0.0006239043 0.002685284 0.015318098 0.0022522944 0.05216838 0.0012066308 0.011094266 0.0008647313 0.0006862947 0.0026790448 0.00044796328 0.0007337114 0.00065135607 0.0011330101 0.00094459107 0.0015248221 0.0005727441 0.0011841703 0.00059395685 0.00050411467 0.0007187377 0.000964556 0.00048040628 0.000469176 0.0004230071 0.0009046612 0.0033578528 0.0004704238 0.0025729812 0.0014362276 0.00082480145 0.00056900067 0.00045669792 0.001055646 0.00046168917 0.0005140971 0.0004916366 0.0008547488 0.0004542023 0.0007486851 0.00066383416 0.001336403 0.00069128594 0.0017456842 0.0005415489 0.00088594406 0.00067631225 0.0007187377 0.0015934515 0.0031781683 0.0025567596 0.00469176 0.0008310405 0.0010094771 0.0004841497 0.0008609879 0.0007212333 0.012102495 0.0011592142 0.002307198 0.010440414 0.0043960293 0.0010681241 0.0035886974 0.0033977826 0.0018866865 0.0017806228 0.0009920078 0.0013139424 0.0016970196 0.00090091774 0.0010007424 0.0009508301 0.002899907 0.0011604619 0.0030009795 0.0013651026 0.0018292873 0.0007748891 0.0016184077 0.00088344846 0.0033977826 0.0006600907 0.0010955759 0.0018030833 0.0015098483 0.00072497677 0.00056775287 0.00084975763 0.0024606783 0.00066383416 0.00088594406 0.0009994947 0.0024544394 0.0024531917 0.0005552748 0.0007000206 0.027853582 0.006079323 0.0011030628 0.0059520467 0.0065909247 0.0010519025 0.0006862947 0.0007611632 0.0073071667 0.0009857687 0.0018330307 0.0009271217 0.009218809 0.002189904 0.004132742 0.0026166546 0.010157161 0.0030808393 0.0031008043 0.0036448487 0.015021119 0.0040316693 0.004339878 0.06954661 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017918234 0.0 0.0 0.00052204204 0.00024695403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009360495 0.0 0.0 0.0042601135 0.003024718 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00062895124 0.0 0.0 0.00037449485 0.00027696363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055580284 3.7512004e-06 1.8130802e-05 6.752161e-05 0.00015004801 7.627441e-05 6.2520007e-06 7.502401e-06 1.5630001e-05 0.0 0.0 1.8756002e-06 8.127601e-06 3.1260004e-06 5.0016006e-06 0.00036136564 0.006146342 0.00020756642 0.00021506882 0.0005551777 0.0019262414 0.00049203244 0.0024670395 0.0010734685 0.00019631282 0.00010128241 9.315481e-05 7.564921e-05 0.00067709165 0.00038324765 0.00040387924 0.002912182 0.013431173 0.00064645684 0.0009534301 0.0020981715 0.004162582 0.003638039 0.007022872 0.0032354104 0.00045764644 0.00023757602 0.00031322523 0.00033323164 0.0020994218 0.0011134814 0.001130987 0.009062275 0.020939825 0.0013135454 0.001243523 0.0020950455 0.00737611 0.0025820762 0.006745909 0.0032829256 0.0024113967 0.0009828145 0.0009846902 0.0013466809 0.0040913094 0.00267148 0.0026958627 0.009659341 0.020390274 0.0015748789 0.0012616537 0.0022863566 0.009505542 0.0040775547 0.005934399 0.0034360995 0.0058600004 0.0014254561 0.001793699 0.0023244938 0.0038949964 0.001787447 0.0040788054 0.009753746 0.07466702 0.009903794 0.0073448503 0.010170129 0.04243358 0.03087363 0.021492502 0.014075754 0.051929116 0.005337958 0.0061088298 0.009223577 0.016936045 0.0071360334 0.02768386 0.06161034 0.06079133 0.01021952 0.009199194 0.011775018 0.028369078 0.030877382 0.01782758 0.014739716 0.05026171 0.005937525 0.006540218 0.009231704 0.021286186 0.011034781 0.025305597 0.048959415 0.00023570043 4.8140406e-05 8.690281e-05 5.2516807e-05 9.127921e-05 0.00010003201 4.3764005e-05 6.6271205e-05 0.00013566841 2.9384402e-05 3.3760803e-05 2.9384402e-05 8.502721e-05 6.0644405e-05 7.3773605e-05 0.00010815961 5347.0 15.210959 81333.0 0.005754122 0.00013524646 0.00059016637 9.836106e-05 0.003540998 0.0006024615 0.00013524646 0.00018442699 0.0004180345 0.00043032964 0.0007745933 0.0006147566 0.0005286907 0.015061537 0.0011926278 0.0004918053 0.022795176 0.01755745 0.02364354 0.012725462 0.018737782 0.014827929 0.019684507 0.011680376 0.022045173 0.014729569 0.0008729544 0.00054098584 0.0010082008 0.0005655761 0.00012295133 0.00014754159 0.0014385305 0.009012332 0.007819704 0.01533203 0.007536916 0.017041054 0.004991824 0.003245915 0.005200841 0.01859024 0.0025942728 0.0042172302 0.0072049475 0.0070451107 0.0046844454 0.009737745 0.013635302 0.0027664048 0.006319698 0.021627137 0.013807434 0.006614781 0.006233632 0.0036885396 0.0029385367 0.005655761 0.0016106623 0.003159849 0.0012295132 0.0029508318 0.0030737831 0.023446817 0.00027049292 0.032237835 0.012811528 0.027983721 0.026766503 0.055758424 0.011250046 0.010782831 0.018073844 0.036504246 0.00697134 0.007057406 0.024368953 0.012258247 0.038705077 0.03569277 0.018258272 0.0029016512 0.040254265 0.0298034 0.042774767 0.01156972 0.0106107 0.0061844517 0.01348776 0.007057406 0.0011065619 0.0003073783 0.0005778712 0.00027049292 0.00031967345 0.00033196856 5.779732 0.0 2.0 14.0 4.0 801405.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 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 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5734563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.005640832 0.003942488 0.0039177877 0.003887746 0.0039030053 0.0039294227 0.0039040542 0.0038872692 0.003922842 0.0038919423 0.0038898443 0.0039013838 0.0039082505 0.0039021468 0.0038675277 0.0039227465 0.0039294227 0.003906343 0.003911398 0.003914259 0.0038941358 0.0039335233 0.0038799257 0.0039190273 0.0039281826 0.0039283736 0.0038582769 0.0038653342 0.00393009 0.0039007163 0.0038935635 0.0038973785 0.0038997626 0.0039017654 0.0038865062 0.0038843127 0.0038991903 0.0038931821 0.0039057708 0.0038728684 0.0038948988 0.0038752526 0.0038982367 0.0038770647 0.0039011932 0.003894994 0.0038914655 0.0038794489 0.0039276103 0.003908537 0.0038996672 0.003920744 0.0038858387 0.0039082505 0.003915117 0.0038934683 0.003924082 0.0038991903 0.0038520778 0.0039285645 0.0038757294 0.0038558925 0.0039010977 0.0039100624 0.0039675706 0.003916357 0.0039073923 0.0038855525 0.0038743943 0.00393524 0.0038850757 0.003956794 0.0038989042 0.0038795443 0.0038907025 0.003911207 0.0038984274 0.003889272 0.0038836452 0.0039138775 0.0039325696 0.0038873646 0.0038744896 0.0039073923 0.003872487 0.003890798 0.0039134957 0.0039106347 0.0038964248 0.0038886997 0.0038707703 0.003911207 0.003886983 0.0038876506 0.003941153 0.0038721054 0.0038946127 0.0038834545 0.0038758249 0.0038971875 0.0039182645 0.00394554 0.0039273244 0.003917978 0.0039209346 0.003906057 0.003931616 0.0038695305 0.003882024 0.003872487 0.00387716 0.00391712 0.0039303764 0.003899858 0.0039051988 0.003917978 0.0039459215 0.003972816 0.003921221 0.0038639037 0.0038711517 0.0039033866 0.0038792582 0.0038778277 0.0038752526 0.003924845 0.0039050078 0.003874299 0.0039286595 0.003906629 0.0038986183 0.0039384826 0.0039291363 0.0039178827 0.0038825008 0.0038517916 0.0038656204 0.003948592 0.003895948 0.0039474475 0.0038923237 0.003895948 0.0038874599 0.003876874 0.0038769692 0.003886983 0.0038925146 0.0038628546 0.0038895581 0.0039046265 0.0038989997 0.0038920378 0.003881547 0.003858563 0.0038760155 0.003904531 0.003920744 0.0038981414 0.003885457 0.0039019561 0.003878972 0.003923891 0.0038964248 0.0038646667 0.0038970923 0.0039241775 0.0038851711 0.0038979505 0.0038866017 0.00388107 0.003885648 0.0038929915 0.0038693396 0.0038785907 0.00389652 0.003903196 0.003912924 0.0038701026 0.003895757 0.0038975691 0.0038875553 0.003882024 0.0038702935 0.003903959 0.0038701026 0.0039172154 0.0038835497 0.0038970923 0.0038989997 0.0038832636 0.003895948 0.003887746 0.003952216 0.0039074877 0.0039126375 0.0038663833 0.003919981 0.0038748712 0.0038847895 0.003918932 0.003908537 0.00391979 0.0038780184 0.0038762062 0.0038733452 0.0038174586 0.0039020516 0.003899381 0.0038962339 0.003892133 0.003920172 0.0038769692 0.003934477 0.003880498 0.0038572277 0.0038732497 0.0038849802 0.003871533 0.00389137 0.0039059618 0.0038763972 0.0039209346 0.003927992 0.0038476908 0.003912733 0.0039006209 0.003880498 0.0038729638 0.003881833 0.0038530314 0.003921316 0.0039038635 0.003926085 0.0039345725 0.0038897488 0.0038786859 0.0038680998 0.0038662879 0.003909681 0.0038914655 0.003873822 0.0038731545 0.003910444 0.0038940404 0.0039031005 0.003861138 0.003890035 0.003932379 0.0039330465 0.0039030053 0.0038897488 0.0038593258 0.003963279 0.003920744 0.0038883183 0.0043165283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0379378e-05 8.107815e-07 4.1016006e-06 2.2892655e-06 3.100047e-06 2.4323447e-06 1.48325325e-05 6.7247174e-06 7.630885e-07 0.0 3.338512e-07 9.538606e-08 4.769303e-08 9.538606e-08 1.9077213e-07 1.4784839e-06 0.00019120135 2.7185029e-06 8.012429e-06 7.0108754e-06 8.537053e-06 7.5831917e-06 1.1589406e-05 6.152401e-06 9.586299e-06 5.0554613e-06 3.2908192e-06 3.8154426e-06 7.678578e-06 4.1492935e-06 1.57387e-06 1.50709975e-05 0.00022768653 3.243126e-06 1.8123352e-05 1.2543267e-05 3.7820573e-05 2.5468078e-05 0.00013525743 6.834411e-05 2.4800377e-06 2.3369585e-06 6.200094e-06 7.917043e-06 1.2686346e-05 5.961629e-06 2.2415725e-06 1.7741808e-05 0.00013182354 3.243126e-06 5.7231637e-06 9.300141e-06 1.0492467e-05 1.1207862e-05 2.108032e-05 9.538606e-06 1.1637099e-05 8.537053e-06 5.9139356e-06 9.490913e-06 9.967844e-06 4.0539076e-06 2.3369585e-06 3.867905e-05 0.00031506017 1.3640207e-05 2.2654189e-05 2.6612712e-05 4.010984e-05 2.956968e-05 5.1222316e-05 3.4768218e-05 3.7486723e-05 1.48325325e-05 1.2304802e-05 1.6787946e-05 2.3178813e-05 1.6120244e-05 1.1207862e-05 0.00011584637 0.00020274307 1.6406402e-05 3.2145104e-05 4.3829896e-05 3.5960544e-05 2.9808145e-05 5.7517795e-05 3.8202117e-05 2.580193e-05 2.3512664e-05 1.3449435e-05 1.4546375e-05 1.8361818e-05 1.8457204e-05 1.5691006e-05 9.7293785e-05 0.0005333989 6.610254e-05 5.274849e-05 7.45919e-05 0.00013516204 0.00010897857 8.4750514e-05 8.794595e-05 0.00014450989 5.2128482e-05 4.182679e-05 4.4449906e-05 7.7215016e-05 4.473606e-05 7.793041e-05 0.00022935579 0.00037272103 8.241356e-05 5.0745384e-05 6.5816384e-05 0.00013377896 0.00011990028 6.5721e-05 8.241356e-05 0.00016005781 2.0794161e-05 3.0046609e-05 2.2081873e-05 6.934567e-05 3.1572785e-05 8.618131e-05 0.00016921488 0.06214941 0.062303983 0.06206356 0.06216658 0.06209151 0.062011145 0.061995503 0.062135436 0.062074866 0.062107343 0.06215241 0.062136292 0.062096518 0.062134195 0.062097088 0.06213062 48595.0 5.6601295 275054.0 0.010125284 0.0104379505 0.010259803 0.010012579 0.010441586 0.010387051 0.010056207 0.010219811 0.010096199 0.010114377 0.01023799 0.010368873 0.010423408 0.010503392 0.0104634 0.010288889 0.010354331 0.010103471 0.0102561675 0.010467036 0.010459764 0.010481578 0.010168912 0.010467036 0.010776066 0.010219811 0.010488849 0.010114377 0.010492485 0.010499757 0.010452493 0.010132556 0.010601555 0.0104015935 0.010063479 0.010739709 0.010616098 0.01057247 0.010317974 0.010303431 0.010448857 0.009998037 0.010230718 0.010252533 0.0101107415 0.01060519 0.009656286 0.010666996 0.010408865 0.0101107415 0.010012579 0.010721531 0.010601555 0.01037978 0.010903314 0.010485214 0.010197997 0.010001672 0.010543385 0.010219811 0.009947138 0.0101834545 0.010208905 0.00981989 0.010165277 0.010637911 0.010452493 0.010452493 0.010943306 0.01183404 0.010601555 0.010943306 0.010408865 0.011346863 0.010147098 0.010666996 0.01113963 0.010492485 0.010816058 0.010881499 0.010532477 0.010550655 0.010794244 0.010863322 0.0115359165 0.010143463 0.010299795 0.010336152 0.010357966 0.010514299 0.010168912 0.010405229 0.010299795 0.010103471 0.0103288805 0.010132556 6.584224 0.0 1.0 0.0 151.0 10485510.0 1978368.0 0.0 0.0 165.0 0.0 1.0 0.0 0.0 0.0 1517284700.0 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 -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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 26112.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26112.0 0.0 104960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2209525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.000561 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4795256 0.0 7.536555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1409024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -418648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25609.0 0.0 104928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34044.0 104928.0 1871872.0 0.0 0.0 13120.0 92541740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 688.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.12950362 0.009474734 0.00530876 0.005178898 0.006721659 0.0038387217 0.0036880819 0.0029868267 0.008030668 0.0027686586 0.003085522 0.0027322972 0.0059528756 0.003314079 0.002623213 0.0067736036 0.0068255486 0.0035841921 0.0029296875 0.0021089595 0.003246551 0.0036828874 0.0023686835 0.002373878 0.003075133 0.0021764876 0.0022388215 0.0023375165 0.002893326 0.0024621843 0.0024154338 0.0023167387 0.005734707 0.0023479057 0.002555685 0.002212849 0.0065658246 0.0023998504 0.0021972656 0.0021609042 0.002514129 0.0019323471 0.0022492104 0.0025972407 0.0024569896 0.0023011554 0.002623213 0.0021764876 0.0029504655 0.0022544048 0.0022751829 0.0048204786 0.002212849 0.0026336021 0.0021453209 0.0016778174 0.0026907413 0.0028517703 0.0022803773 0.004036112 0.0028465758 0.0027374916 0.0024050449 0.0024414062 0.009209815 0.008051446 0.002373878 0.002623213 0.004228308 0.008939702 0.004067279 0.0027011302 0.003064744 0.002612824 0.0020362367 0.0022595995 0.003085522 0.0060879323 0.0027998255 0.003116689 0.0070073553 0.0031218834 0.0024673787 0.004597116 0.0026180185 0.0033868018 0.0050230636 0.004186752 0.002524518 0.004716589 0.0021920712 0.0026180185 0.0028517703 0.0032621343 0.0037036652 0.0031322723 0.0023998504 0.003646526 0.0023271276 0.002706325 0.0034491357 0.0062385723 0.0035582196 0.0022699884 0.0039893617 0.0044360873 0.004716589 0.0018596243 0.003895861 0.0026024352 0.003875083 0.0037348322 0.00330369 0.001963514 0.0045243935 0.0036049702 0.010009766 0.0097188745 0.002784242 0.0024206282 0.0026284077 0.002763464 0.0020206533 0.0021245428 0.0029296875 0.0038231383 0.0025608793 0.003023188 0.005100981 0.003942611 0.0021660987 0.0097188745 0.0038335272 0.0060879323 0.00220246 0.0021453209 0.0033192737 0.006804771 0.0035114693 0.016684674 0.0021193484 0.009729263 0.0024362118 0.0020362367 0.0022751829 0.0017817072 0.0019323471 0.0025297124 0.0022388215 0.0022907662 0.0023115443 0.001942736 0.0021816823 0.0019375415 0.0020622092 0.0019271526 0.0019271526 0.001953125 0.0020362367 0.0018024851 0.0021453209 0.0022284326 0.0020985706 0.0020674036 0.0020102642 0.0022907662 0.002015459 0.001812874 0.0021245428 0.0019167636 0.0018388464 0.0021557098 0.0021816823 0.0018284575 0.0021972656 0.0025868518 0.002103765 0.002015459 0.001953125 0.0017713181 0.0021868767 0.0018544298 0.0026803524 0.0021297373 0.003345246 0.002223238 0.0019271526 0.0019375415 0.0022907662 0.0021972656 0.002742686 0.0025037401 0.008108585 0.004217919 0.0033919963 0.005978848 0.00375561 0.0022751829 0.0040984456 0.00410364 0.002934882 0.0041607795 0.0025504904 0.0024725732 0.0035478307 0.002555685 0.0031114942 0.0023115443 0.0026959358 0.0028154089 0.0031478556 0.002612824 0.002264794 0.0019946808 0.0025037401 0.0021089595 0.0032829123 0.0036776927 0.0021712931 0.0038283328 0.0029089095 0.003085522 0.0026336021 0.002384267 0.0036621094 0.002332322 0.002363489 0.0019011801 0.002903715 0.0019583195 0.002233627 0.0019790975 0.0108253 0.003885472 0.002332322 0.0050126747 0.0040516956 0.0023011554 0.0024362118 0.0022492104 0.0039633894 0.002482962 0.0028673536 0.0032621343 0.0026907413 0.0024206282 0.004243891 0.0039010555 0.003947806 0.0028725483 0.0022699884 0.002612824 0.005386677 0.0026284077 0.004238697 0.03187853 0.021390375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004773145 0.000101834055 4.9611463e-05 5.2222595e-06 4.4389206e-05 8.355615e-05 8.877841e-05 6.527824e-05 1.0444519e-05 5.2222595e-06 1.0444519e-05 1.5666777e-05 5.7444853e-05 1.3055648e-05 1.3055648e-05 1.0444519e-05 0.013011259 0.000107056316 0.0001592789 4.9611463e-05 0.0004125585 0.00013055648 0.0005509484 0.0005170037 0.0004935035 2.3500166e-05 2.8722427e-05 2.8722427e-05 0.00019583473 4.1778076e-05 2.8722427e-05 0.0002637241 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01798285 0.0005352816 0.00092956214 0.00038905832 0.001308176 0.0005352816 0.0017024565 0.0012298421 0.00034466913 0.00021150151 0.00028722428 0.00018016795 0.00029244652 0.00024022393 0.00021411263 0.00035511365 0.0029166318 1.3055648e-05 0.00033944685 0.000109667446 0.00013316762 7.572276e-05 0.0010522853 0.0006553935 7.833389e-06 2.6111297e-06 5.2222595e-06 5.2222595e-06 2.6111297e-06 0.0 7.833389e-06 2.0889038e-05 0.017977627 0.0008094502 0.0009843959 0.0008982286 0.003222134 0.0012898981 0.0057157627 0.0030863553 0.0008903952 0.00022194603 0.000112278576 0.0001592789 0.0002976688 0.0001853902 0.00022977941 0.0013525651 0.0049428684 0.00030289104 0.00017233456 0.00012794536 0.001005285 0.00047783673 0.0013525651 0.0008068391 0.0001853902 0.00013316762 0.00024283506 0.00017233456 0.00022716828 0.00023500167 0.00018016795 0.00013055648 0.0077863885 0.00065278244 0.0012246198 0.0008198947 0.0017285679 0.0008564505 0.0036921373 0.0021437374 0.0004491143 0.0001853902 0.00021411263 0.00021933489 0.00034728023 0.00013838988 0.00017494569 0.0007572276 0.0046922 0.0004569477 0.0003786138 0.00051439257 0.001671123 0.0010183406 0.001752068 0.0012193975 0.000825117 0.00016972343 0.00018016795 0.00027677976 0.000342058 0.0002454462 0.00053267047 0.0017677348 0.028743315 0.005277093 0.0054624835 0.004475476 0.010723909 0.008655895 0.0036294702 0.008008335 0.017740015 0.0013395095 0.0014752883 0.0017677348 0.008358226 0.0047365893 0.007514831 0.015781667 0.049616687 0.01197203 0.0083660595 0.0097395135 0.02073237 0.018163018 0.009405289 0.016635507 0.034051742 0.004052473 0.004707867 0.006159655 0.02200399 0.01125658 0.01675823 0.034453858 0.027012136 0.026740579 0.026986025 0.026176576 0.026455967 0.026145242 0.026839802 0.02593113 0.027059136 0.026779747 0.026249686 0.026873747 0.027586585 0.02704086 0.026912913 0.027017359 869.0 9.563867 8311.0 0.017446758 0.0030080616 0.0037299965 0.0034893514 0.004211286 0.004933221 0.003128384 0.0026470942 0.003850319 0.0018048369 0.003128384 0.0034893514 0.004090964 0.0048128986 0.010107087 0.003850319 0.007459993 0.0050535435 0.007580315 0.0052941884 0.0034893514 0.0045722537 0.004933221 0.0032487065 0.003850319 0.0045722537 0.004451931 0.005414511 0.004692576 0.003850319 0.0034893514 0.006016123 0.010107087 0.018409338 0.004331609 0.013957405 0.0068583805 0.011550956 0.011430634 0.008181928 0.007580315 0.008663218 0.004331609 0.005775478 0.009866442 0.009746119 0.007459993 0.006256768 0.014077729 0.004211286 0.011189989 0.019371917 0.009385152 0.005414511 0.013235471 0.009746119 0.0037299965 0.007459993 0.003128384 0.004211286 0.008542895 0.003369029 0.003369029 0.0070990254 0.005414511 0.031524487 0.0073396703 0.018289015 0.02009385 0.07086993 0.010107087 0.011189989 0.010107087 0.037420288 0.005775478 0.0050535435 0.030802552 0.013957405 0.03705932 0.040067382 0.016123211 0.002887739 0.044158343 0.024786428 0.052580915 0.020695465 0.00830225 0.00926483 0.009144507 0.009385152 0.0034893514 0.0026470942 0.0032487065 0.0021658044 0.003369029 0.004933221 6.0033793 0.0 0.0 7.0 6.0 192512.0 200704.0 1.0 0.0 145.0 0.0 1.0 0.0 0.0 0.0 1102980200.0 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 7.0 0.0 7.0 0.0 4.0 0.0 4.0 0.0 86016.0 4096.0 4096.0 3.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86016.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.50552 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.695623 0.0 7.9380484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83470.0 0.0 94208.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 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 -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 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 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 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 84144.0 3912.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 608.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.0061673233 0.0043595564 0.003975448 0.003921261 0.003939857 0.00405163 0.0038690737 0.0038088881 0.0038848699 0.004395948 0.0038982667 0.003994444 0.0037447035 0.003975848 0.0038944676 0.00380109 0.0038790714 0.0038332823 0.004101618 0.0039702496 0.0039648507 0.0037690976 0.0041084164 0.003916662 0.0038232848 0.00384328 0.0038524778 0.0037652985 0.003918262 0.00392646 0.003834482 0.0038320825 0.003906665 0.0041664024 0.003911664 0.0037509021 0.0040038414 0.004197995 0.003956853 0.0039132633 0.0039790473 0.004361556 0.0038820705 0.004000442 0.0038916683 0.004213591 0.0038572766 0.003913063 0.0038436798 0.0042775758 0.00396745 0.0038570766 0.003859676 0.0039744484 0.003897467 0.0037858936 0.0038734728 0.0039002663 0.0039490545 0.0039508543 0.0037275075 0.0037850938 0.0038190857 0.0037856938 0.003943456 0.0038850699 0.0039868457 0.0037942918 0.0038544773 0.003981447 0.0038580764 0.003679919 0.0038460793 0.0039662505 0.0040154387 0.0039970432 0.0039290595 0.0039778478 0.004013839 0.0038704735 0.003813487 0.0039380575 0.0039490545 0.00392526 0.003952454 0.003897267 0.0038786714 0.003913463 0.0039042654 0.0039782478 0.0040668263 0.003980647 0.0038616755 0.0039164624 0.003937457 0.0040504304 0.0037858936 0.0038116875 0.003994044 0.0038008902 0.00401044 0.0040038414 0.0039752484 0.0037159105 0.0038914683 0.003914463 0.003943056 0.0038230848 0.0038192857 0.0038880692 0.0038326825 0.0037373053 0.0038324825 0.0038740726 0.0038146868 0.0038316827 0.003900866 0.0038612755 0.003981847 0.0038362816 0.0037770958 0.0038026897 0.0038664744 0.0038030895 0.0037439037 0.0038276836 0.0038154866 0.0038348818 0.0039364574 0.0038732728 0.0038758721 0.003730107 0.0039370577 0.003871873 0.0038402807 0.003805089 0.0037888929 0.004114015 0.0040036417 0.004139409 0.003763899 0.003818286 0.0037744965 0.0036851177 0.0038316827 0.0038034895 0.0038664744 0.0039026658 0.003914063 0.003892668 0.0039236606 0.0039194617 0.003863875 0.0038414802 0.0038872694 0.0037782956 0.0038870694 0.0038950676 0.0038356818 0.0038090881 0.0038018897 0.003918262 0.0039590523 0.0039208615 0.0038934678 0.0038570766 0.0039448556 0.0039254604 0.0038966672 0.003868674 0.0038980667 0.0039418563 0.0038266839 0.0038382811 0.003892868 0.0039122635 0.0038530775 0.003863275 0.004026636 0.0038020897 0.00396645 0.0038588762 0.0038588762 0.0039082645 0.003917862 0.003906265 0.0039364574 0.00388467 0.003810288 0.0038816708 0.0038912685 0.0039290595 0.0038322825 0.00396865 0.00409402 0.0038740726 0.0038954674 0.0039400565 0.00392526 0.003897067 0.0038784714 0.00405163 0.0039820466 0.003962851 0.0038086881 0.0038438798 0.0039026658 0.0038522778 0.0039236606 0.0038532775 0.003935258 0.0038872694 0.003863475 0.003932059 0.0039054651 0.0039748484 0.0038760721 0.00396865 0.0039670505 0.0038126872 0.0038456793 0.0038468791 0.003809888 0.003838681 0.0037487026 0.0039114635 0.003943056 0.0037920922 0.0038070886 0.0038144868 0.0039286595 0.0037561008 0.0038234848 0.0039716493 0.0038822705 0.003909664 0.0038884692 0.003784894 0.004005441 0.0039042654 0.0037796951 0.0039830464 0.00392746 0.003905865 0.0037405046 0.0037894929 0.0039488547 0.0039370577 0.003834282 0.00392626 0.0038294832 0.0039164624 0.0037453035 0.0037581003 0.0038442796 0.003813287 0.00040946814 0.0 0.0 0.0 1.0001664e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0001664e-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 0.0 0.00018223032 2.1003495e-06 4.200699e-06 1.0001664e-06 1.8002995e-06 1.0001664e-06 4.500749e-06 3.1005159e-06 3.0004992e-07 6.0009984e-07 2.0003328e-07 9.0014976e-07 6.0009984e-07 4.0006657e-07 9.0014976e-07 1.0001664e-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 0.0004260709 7.3012147e-06 2.2203694e-05 1.19019805e-05 5.4109005e-05 2.9204859e-05 4.9008154e-06 1.6002663e-06 2.7204527e-05 2.2003662e-06 3.400566e-06 2.800466e-06 2.6004327e-06 3.5005826e-06 4.500749e-06 1.1001831e-05 0.0007198198 4.530754e-05 3.3905642e-05 2.7804626e-05 4.2407057e-05 1.1601931e-05 7.801298e-06 8.101348e-06 5.2908803e-05 6.6010984e-06 7.201198e-06 6.401065e-06 6.5010818e-06 8.801465e-06 1.0001664e-05 2.9004827e-05 0.00014252371 2.1003495e-06 3.400566e-06 4.500749e-06 4.1006824e-06 4.200699e-06 3.5005826e-06 4.1006824e-06 4.9008154e-06 3.400566e-06 4.6007654e-06 1.0401731e-05 1.9003162e-06 5.9009817e-06 2.7004494e-06 2.6004327e-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 0.00011861974 5.8009655e-06 6.2010317e-06 8.0013315e-06 1.0001664e-05 2.800466e-06 3.1005159e-06 2.500416e-06 1.550258e-05 2.7004494e-06 2.7004494e-06 7.101182e-06 1.5002496e-06 8.201365e-06 3.900649e-06 6.2010317e-06 0.00010951822 6.2010317e-06 4.9008154e-06 6.401065e-06 6.5010818e-06 5.8009655e-06 6.9011485e-06 7.101182e-06 6.801132e-06 6.2010317e-06 6.2010317e-06 6.401065e-06 5.4008988e-06 6.9011485e-06 6.701115e-06 6.9011485e-06 0.00016902812 1.3802297e-05 1.24020635e-05 1.1101847e-05 4.4207358e-05 3.7406226e-05 1.6202695e-05 1.1501914e-05 1.08017975e-05 1.1601931e-05 1.2102014e-05 1.24020635e-05 1.2001997e-05 1.0601764e-05 1.1201864e-05 1.3302213e-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 5.6209352e-05 6.0009984e-06 9.501581e-06 1.13018805e-05 9.1015145e-06 1.0001664e-05 6.2010317e-06 8.101348e-06 1.1801963e-05 8.801465e-06 1.4202364e-05 1.8703113e-05 7.6012648e-06 1.220203e-05 7.3012147e-06 7.801298e-06 0.06327363 0.062256258 0.06380372 0.062178448 0.062433887 0.062867165 0.0618993 0.06136271 0.061841592 0.061818987 0.06225316 0.062233355 0.062673725 0.06218905 0.06182909 0.06160375 23258.0 5.5982027 130203.0 0.010591154 0.010552752 0.010299302 0.010337704 0.010545072 0.011290062 0.01073708 0.010030491 0.010652596 0.011075013 0.010468269 0.010821563 0.010591154 0.011727841 0.01026858 0.0100688925 0.00976168 0.010875326 0.010306982 0.01001513 0.010114974 0.010760121 0.010560432 0.009922966 0.010061212 0.010222498 0.010376105 0.010783162 0.009969048 0.009899925 0.010337704 0.01001513 0.010383786 0.010114974 0.011205579 0.010306982 0.010568113 0.010629555 0.010091933 0.009707917 0.010644916 0.010568113 0.010138015 0.010045852 0.010629555 0.010813883 0.01049899 0.010552752 0.010022811 0.010230179 0.010145696 0.0103684245 0.010629555 0.0109214075 0.010383786 0.010629555 0.010345384 0.010913727 0.010652596 0.010122655 0.010306982 0.010906046 0.010614195 0.01049899 0.010652596 0.010184097 0.010875326 0.010214819 0.01146671 0.010898367 0.010468269 0.010061212 0.010322343 0.010191778 0.010798522 0.009800081 0.010614195 0.010475949 0.009922966 0.009938327 0.010306982 0.010322343 0.0101764165 0.010099614 0.01050667 0.010145696 0.010598834 0.010452908 0.009922966 0.010184097 0.010790842 0.010022811 0.010138015 0.009976729 0.010030491 0.010806203 6.5840364 0.0 0.0 0.0 78.0 5001197.0 23703552.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1504711000.0 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 0.0 0.0 5.0 0.0 4.0 0.0 5.0 0.0 11657216.0 1536.0 4096.0 7.0 0.0 0.0 5.0 7.0 0.0 3144704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3453440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1206272.0 512.0 0.0 512.0 0.0 0.0 0.0 0.0 7.925088 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.999947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.26077127 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.993635 0.0 0.0 1.1322552 0.0 0.0 0.0 0.0 3145728.0 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 0.0 14024704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4214784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2292112.0 4096.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 311439.0 23325820.0 112.0 16322652.0 2292112.0 14028800.0 0.0 0.0 7080.0 8039712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 23325724.0 0.0 0.0 0.0 0.0 0.0 0.0 3931.0 13709312.0 0.0 0.0


Input: 0.012909415 0.0041391146 0.003920772 0.0040065493 0.003985555 0.003752816 0.0038661864 0.003969559 0.0041435137 0.003658041 0.0037026291 0.0038403932 0.003995952 0.0038379936 0.003847791 0.004568002 0.003935568 0.0036476436 0.0036858337 0.0037164255 0.0036674384 0.003798204 0.0037504167 0.0037580146 0.00377601 0.003760814 0.003718625 0.0038575886 0.0038359943 0.003825197 0.0038917796 0.0039261705 0.0038621873 0.003763813 0.0036322477 0.0037824083 0.0037724108 0.0036640393 0.0037384199 0.0037008296 0.0036662386 0.0036372463 0.0035788617 0.0038359943 0.0037422187 0.0037702115 0.003771411 0.0038247972 0.003783008 0.003677236 0.0037320214 0.004064734 0.0037728108 0.003780009 0.003806202 0.0038351945 0.0038116006 0.0038211981 0.003783408 0.0040269443 0.003905576 0.003841193 0.0038617875 0.0039005773 0.0036828343 0.00377601 0.003993753 0.003915973 0.0038189986 0.00408033 0.0038547893 0.0038321952 0.0036704377 0.0036876332 0.003672837 0.003787407 0.0037558153 0.003919972 0.0037964047 0.0038008033 0.004061535 0.0037026291 0.003611653 0.0039219717 0.0037118269 0.0037484171 0.0039247707 0.0040213456 0.003723024 0.0038701852 0.0037126266 0.0038293959 0.0037850076 0.0039409664 0.0039525637 0.0039265705 0.0037286223 0.0039041764 0.0037550153 0.0038355943 0.0038042024 0.0040397407 0.004105923 0.0038585882 0.0038923793 0.0038397931 0.003940167 0.003802003 0.0039041764 0.0039211717 0.0039487644 0.0040747314 0.0039751576 0.0037730108 0.0040365416 0.003930969 0.0043038717 0.0043448606 0.003912974 0.00396576 0.003939367 0.003836394 0.0038153997 0.0039275703 0.0039141737 0.0040607355 0.0040319427 0.004022945 0.0037588144 0.0037852076 0.0036826343 0.004481825 0.0038377938 0.0041103223 0.0039063757 0.0038539895 0.0036970307 0.004153511 0.0037216241 0.0050366796 0.0037524162 0.004317068 0.0038263968 0.0038993775 0.0036466438 0.0036808348 0.0036416452 0.0038038027 0.0036876332 0.003726023 0.0037136262 0.003821998 0.0037006298 0.0037734106 0.003722824 0.0038375938 0.0037388196 0.003832995 0.0038323952 0.0038717848 0.0037310217 0.0037732106 0.0036594404 0.0038138 0.0036354468 0.0037000298 0.0037004298 0.003756615 0.0036776357 0.0037248232 0.003634447 0.0037366203 0.003768612 0.0037556153 0.0038277963 0.0038967782 0.0037804088 0.003756415 0.0037344208 0.0038233974 0.003756215 0.0038090013 0.003974958 0.0039467653 0.003894579 0.0038355943 0.0038032029 0.003901377 0.0038395931 0.003859788 0.003917573 0.0039765574 0.0041439133 0.003973158 0.0038797827 0.0040429397 0.0038080015 0.0037098273 0.0038615875 0.0039611612 0.0038247972 0.0038359943 0.0037358205 0.003802203 0.0038207981 0.0037898063 0.003886581 0.0039385674 0.0038108008 0.0038012033 0.0037742103 0.0038587882 0.0037712113 0.0037884067 0.0037636133 0.00392817 0.0038577884 0.003874584 0.0038567889 0.003958362 0.0038535895 0.0039007773 0.0038527898 0.0039865547 0.0038849814 0.0038341947 0.0037516162 0.0038505904 0.0038128004 0.0037568149 0.0038134002 0.0038463916 0.004526413 0.0038605877 0.0037690117 0.0041049235 0.0039985515 0.0038973782 0.003886981 0.00408113 0.003950964 0.0039257705 0.0039073755 0.0039683594 0.003936368 0.0038279963 0.0039871545 0.0040091486 0.0041439133 0.0038891803 0.0039119744 0.0040291436 0.004140314 0.00400415 0.0041639083 0.00613979 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013849469 3.6998579e-06 7.9996926e-07 2.7998924e-06 3.2998732e-06 3.099881e-06 2.9998847e-07 5.799777e-06 3.2998732e-06 5.9997694e-07 5.1998004e-06 3.199877e-06 1.9999231e-06 4.7998155e-06 5.4997886e-06 4.1998387e-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 0.00034798664 7.499712e-06 5.1998004e-06 1.5999385e-06 1.0499597e-05 3.799854e-06 5.1998004e-06 4.4998274e-06 8.59967e-06 7.9996926e-07 1.5999385e-06 1.5999385e-06 1.899927e-06 1.0999578e-06 1.4999424e-06 6.199762e-06 0.00050078076 1.0199608e-05 1.0199608e-05 3.3998695e-06 1.7299335e-05 5.8997734e-06 5.8997734e-06 6.399754e-06 1.1999539e-05 8.59967e-06 4.999808e-06 4.5998236e-06 5.4997886e-06 5.099804e-06 2.5999002e-06 1.0899582e-05 0.00044348298 7.499712e-06 1.8899274e-05 7.999693e-06 1.6099382e-05 6.799739e-06 4.109842e-05 2.6198994e-05 5.9997697e-06 9.299642e-06 5.2997966e-06 4.399831e-06 5.399793e-06 4.1998387e-06 3.4998657e-06 8.199685e-06 0.00080066925 1.9599247e-05 4.009846e-05 1.2899504e-05 3.9198494e-05 1.7399332e-05 0.00012919503 6.9897316e-05 1.0199608e-05 1.1299566e-05 1.20995355e-05 6.9997313e-06 9.499635e-06 8.499674e-06 8.699666e-06 3.2498752e-05 0.00037648555 8.699666e-06 1.4899428e-05 1.0599593e-05 2.4099074e-05 1.5799393e-05 4.969809e-05 1.9199262e-05 1.0699589e-05 6.199762e-06 4.8998118e-06 1.6999347e-06 4.999808e-06 4.7998155e-06 2.499904e-06 5.9097732e-05 0.0009774625 6.389755e-05 0.000120095385 9.819623e-05 0.000156294 9.049653e-05 0.00046688208 0.0002813892 2.4399063e-05 1.4099459e-05 1.1699551e-05 4.999808e-05 1.2399524e-05 1.1599554e-05 1.1299566e-05 6.729741e-05 0.0010747587 6.549749e-05 0.00013179494 0.00010389601 0.0001612938 9.929619e-05 0.00044358298 0.00027478946 7.579709e-05 2.1799164e-05 2.0499212e-05 4.0998424e-05 3.2198765e-05 2.2999116e-05 2.4899044e-05 6.819738e-05 0.00036388604 4.3198343e-05 2.8198918e-05 2.5299028e-05 3.1298798e-05 2.4899044e-05 5.0698054e-05 6.279759e-05 2.8998886e-05 1.119957e-05 1.119957e-05 3.1298798e-05 1.1699551e-05 1.1299566e-05 9.599631e-06 7.359718e-05 0.00043628324 4.119842e-05 6.399754e-05 3.2098767e-05 5.7897778e-05 4.8998118e-05 0.00027148958 9.1596485e-05 0.00011759548 1.9599247e-05 1.4399447e-05 3.4198685e-05 7.109727e-05 6.6297456e-05 8.2696824e-05 0.00018889275 0.003990247 0.0006325757 0.00042128382 0.0005191801 0.0010881582 0.0011042577 0.00041008426 0.0009505635 0.0025963003 0.00022059152 0.00016539365 0.0003676859 0.00093336415 0.00035328642 0.0009530634 0.0018821277 0.002736995 0.0005418792 0.00032118766 0.0005230799 0.0009499635 0.0010392601 0.00046668208 0.0008823661 0.0016818354 0.0001717934 0.00019579248 0.000312688 0.0008831661 0.00032508752 0.00078816974 0.0016963348 0.05864155 0.05911093 0.058569252 0.060069695 0.058495253 0.058987934 0.060017396 0.061121754 0.059252623 0.059540913 0.059343122 0.060755167 0.060046095 0.060824264 0.060786866 0.061840426 22669.0 5.893158 133592.0 0.012807653 0.010090425 0.009738607 0.009805976 0.009955686 0.009274508 0.009693694 0.0099257445 0.009693694 0.009506557 0.009701179 0.009828432 0.010045512 0.009963172 0.0098583745 0.010023056 0.00986586 0.0098733455 0.009693694 0.0099182585 0.009948201 0.009394275 0.009776034 0.009970657 0.01024762 0.010135338 0.00963381 0.00978352 0.010090425 0.010135338 0.01016528 0.0099257445 0.009042458 0.009746092 0.009588897 0.010606922 0.009948201 0.009835918 0.010367387 0.010262591 0.00986586 0.010157794 0.009326906 0.010157794 0.009738607 0.010008085 0.009304449 0.009978143 0.01080903 0.010030541 0.009746092 0.01127313 0.010419786 0.009274508 0.0104123 0.011228217 0.009603868 0.0098958025 0.009334391 0.00946913 0.010255105 0.009880831 0.010195221 0.010000599 0.00915474 0.012942391 0.009753578 0.011482723 0.0119393375 0.01612372 0.0109587405 0.010120367 0.010532068 0.012755255 0.009723636 0.009805976 0.012231272 0.011318043 0.01228367 0.013099587 0.011871968 0.009970657 0.013997844 0.012590574 0.015045811 0.011153363 0.010270076 0.010374873 0.010749146 0.010741661 0.009791005 0.01024762 0.010105396 0.010157794 0.010217678 0.010255105 6.576013 0.0 1.0 0.0 79.0 5001311.0 339968.0 1.0 0.0 211.0 0.0 1.0 0.0 0.0 0.0 1385885300.0 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 9.0 0.0 5.0 0.0 5.0 0.0 153088.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -153088.0 0.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3499866 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5474136 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.702876 0.0 4.6881638 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20275.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152808.0 0.0 17520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -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 1.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 -1.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 1.0 2.0 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 1.0 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 1.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -2.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 179968.0 220.0 174940.0 17520.0 319488.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 160736.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 170864.0 0.0 0.0 884.0 159744.0 0.0 0.0 0.0 0.0


Input: 0.016622756 0.0043243514 0.004026906 0.0039275577 0.003969336 0.0037700396 0.0038531963 0.0040135127 0.0042779753 0.003588334 0.0037418543 0.0036445048 0.0042032143 0.0037268621 0.0036165195 0.0044756727 0.003920561 0.003546356 0.0035223684 0.0035367608 0.0037506497 0.00382681 0.0036664933 0.0036728901 0.0037814337 0.0035881342 0.0035631473 0.0035957303 0.0036974773 0.0036189181 0.0041390476 0.0036574982 0.0058845403 0.0035975294 0.003567545 0.0035745413 0.0036618959 0.0037334587 0.0035759406 0.0041188584 0.003609923 0.0035723425 0.003555951 0.003705873 0.0036678927 0.003717267 0.0039235596 0.0036169193 0.0038683885 0.0036323112 0.0036566986 0.004232999 0.0038004238 0.0036828849 0.0037156679 0.0037706392 0.003679087 0.003934554 0.0037848318 0.003962939 0.0037572463 0.0037872307 0.003723064 0.0037154679 0.0037532484 0.003663495 0.0036485028 0.0038070204 0.0042443927 0.005182505 0.0043529365 0.003727262 0.003740255 0.0037514493 0.0035855356 0.003655499 0.003652301 0.0039161635 0.0036890816 0.0035945307 0.004517851 0.00376924 0.00363451 0.003990925 0.0036580977 0.003963939 0.004148043 0.0040660854 0.0036616959 0.0038937752 0.0036129213 0.0036982768 0.0036369087 0.003971335 0.0038008236 0.0037838323 0.0036586975 0.004888258 0.0037124695 0.004158238 0.004488266 0.0056508617 0.00400052 0.0039367527 0.0047395355 0.004591612 0.0041200574 0.0037222644 0.0046010073 0.0039063687 0.0043627312 0.004859073 0.0041396474 0.003590133 0.004559229 0.0044434895 0.0058473595 0.0053678085 0.0038637908 0.0038108183 0.0038432016 0.0041110623 0.0036135209 0.003652301 0.0036475032 0.0039563426 0.003646304 0.0037874305 0.0040420983 0.0038741855 0.0035871346 0.004503658 0.0036187184 0.0048702676 0.003588734 0.0036393076 0.0036245151 0.004387718 0.0035639468 0.006142206 0.0035721425 0.004382321 0.0035665454 0.0035705434 0.0036550993 0.0035293647 0.003523168 0.0035663454 0.0035511535 0.0036501018 0.0035469555 0.0036223163 0.0035447567 0.0035857353 0.0035391597 0.003601727 0.0036093232 0.0036568984 0.0035857353 0.0036672931 0.0035625475 0.0035841363 0.0035217686 0.0036107225 0.0036351096 0.0035425578 0.0035223684 0.003536361 0.0036375085 0.003559349 0.0035811379 0.0036303122 0.0035737418 0.0036109223 0.0035377603 0.0035753408 0.0036247151 0.0035801383 0.0035967296 0.0036255147 0.0036331108 0.0037128692 0.0037360573 0.0037536481 0.0037776355 0.0035701436 0.0036349099 0.0036393076 0.0035951305 0.0036505018 0.0037220644 0.0036898812 0.0041378485 0.0037476511 0.0037318594 0.003727262 0.003684684 0.0035761404 0.0037532484 0.003771439 0.0036724904 0.0038072201 0.0035937312 0.0035965298 0.0037040738 0.0035945307 0.0036485028 0.0036389078 0.0037022748 0.0036429057 0.00363431 0.003661496 0.003636509 0.0035963298 0.0035977291 0.003613121 0.0037630433 0.003690681 0.0036223163 0.0037392555 0.0036802862 0.0037178667 0.003625115 0.0036391076 0.0037084715 0.0035913326 0.0040840763 0.0036049255 0.0036776876 0.0037050734 0.0035975294 0.0036774876 0.005040179 0.0038917763 0.0035637468 0.0041012676 0.0041030664 0.0036664933 0.0036586975 0.0036706913 0.004429497 0.00359593 0.003601727 0.0036602966 0.0038204135 0.0036632952 0.0042659817 0.0037474514 0.004155839 0.0037256626 0.0036642945 0.0036830849 0.00432715 0.0038991724 0.0040359013 0.008995722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00015966117 1.0997326e-06 1.899538e-06 1.6995866e-06 1.0797374e-05 2.3994164e-06 8.497933e-06 7.998055e-06 1.1997082e-06 1.899538e-06 1.3996596e-06 8.997812e-07 8.997812e-07 1.299684e-06 1.7995624e-06 1.299684e-06 0.0004642871 9.697642e-06 0.00011607177 3.3991732e-06 3.7690832e-05 6.5983954e-06 0.00039690346 0.00016186063 3.2991977e-06 1.3996596e-06 2.6993434e-06 1.1997082e-06 1.299684e-06 1.9995136e-06 5.698614e-06 1.4396499e-05 0.0014621444 1.7995624e-05 0.0010837364 4.8388232e-05 0.00025563783 7.7581135e-05 0.0036853037 0.0014993354 1.1997082e-05 7.0982737e-06 4.798833e-06 4.698857e-06 4.498906e-06 5.09876e-06 8.597909e-06 1.3096815e-05 0.0019967144 5.588641e-05 0.001422754 0.0001591613 0.00041599883 0.00017825665 0.0043391446 0.0018695453 8.897836e-06 1.2996839e-05 4.9987843e-06 5.5986384e-06 7.398201e-06 5.698614e-06 4.978789e-05 0.00011417223 0.0013739659 0.00038450648 0.0006871329 8.697885e-05 0.00037390908 0.00018385529 0.0013394742 0.00066293875 2.8393095e-05 2.339431e-05 2.3494285e-05 2.339431e-05 3.5191442e-05 3.939042e-05 0.00036491125 0.00071632577 0.0008278987 0.00014616446 0.0002791321 8.4479456e-05 0.00017615716 0.00014036587 0.0004621876 0.00026823475 1.7295793e-05 1.7195818e-05 1.7795672e-05 2.1894675e-05 2.1494772e-05 2.5293848e-05 0.0001311681 0.00022974412 0.000678335 0.00013656678 0.00016376017 0.0015724176 0.00017785674 0.00012337 0.00017915643 0.00016106083 0.0001619606 0.000116371695 0.00012157043 0.0001282688 0.00012446973 0.00011487206 0.00013556702 0.00020415035 0.00047308495 7.918074e-05 8.227999e-05 0.00015436245 0.00014606447 5.1287527e-05 3.9090493e-05 8.9278285e-05 0.00018055609 4.288957e-05 2.2994407e-05 6.90832e-05 0.00011627172 3.5191442e-05 0.00010657408 0.0003593126 0.008176112 0.0013619688 0.0006734362 0.0011928099 0.0027695266 0.003112643 0.0016027102 0.0027899216 0.005485066 0.00040860064 0.0003346186 0.00071892515 0.0015822152 0.0005907563 0.0023057393 0.00579749 0.0037182956 0.0007252236 0.00045139022 0.0007538167 0.0014247535 0.0015191305 0.0008891838 0.0013461726 0.0025023913 0.00028992948 0.0003327191 0.0003956038 0.0009884596 0.0004197979 0.0011203275 0.0023693237 0.056384187 0.056171738 0.05612585 0.05665272 0.056179237 0.05641918 0.05645717 0.057024732 0.056136947 0.056517456 0.056362092 0.057178494 0.056508057 0.05732966 0.057117008 0.057455126 25000.0 8.81832 220458.0 0.05391957 0.008305437 0.0062234076 0.0060873274 0.0063050557 0.009316968 0.0061054714 0.0065772166 0.0058832066 0.0061916555 0.0058605266 0.0056745503 0.0068992735 0.0069400975 0.0134447375 0.005951247 0.0077701877 0.007529779 0.0072757625 0.0077701877 0.007634107 0.007189578 0.0069899936 0.0069809216 0.0068448414 0.0073483386 0.00953016 0.007121538 0.0070761777 0.0068947375 0.0068539134 0.0065500005 0.0064547444 0.00713061 0.0061326874 0.0072712265 0.0070444257 0.007611427 0.013412986 0.0069718496 0.0077520437 0.007865444 0.0058106305 0.0063095917 0.0066089686 0.006794945 0.0067223688 0.0061780475 0.0077747237 0.0062007275 0.0067087607 0.008096781 0.0068720574 0.0077248276 0.007117002 0.0073438026 0.0069491696 0.0061417595 0.0063095917 0.0059331027 0.0058786706 0.0057924865 0.0056564063 0.006377632 0.0060147513 0.03446915 0.009738817 0.018901559 0.025161255 0.04853986 0.011444356 0.013217937 0.011421677 0.027855646 0.0066679367 0.008414301 0.025823513 0.011657549 0.021645846 0.031130645 0.017123442 0.0061190794 0.025211152 0.02027597 0.037281476 0.013204329 0.008536774 0.007538851 0.007656787 0.009697992 0.005978463 0.0061009354 0.0058514546 0.0056926943 0.0058242385 0.0058060945 6.2440314 2.0 19.0 0.0 72.0 5002600.0 495616.0 1.0 0.0 232.0 1.0 1.0 0.0 1.0 0.0 1540540800.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 288768.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 121344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 -288768.0 0.0 33280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7971478 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.948336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5819805 0.0 -4.138328 0.0 0.0 0.0 0.0 0.0 0.0 -6.5493083 0.0 5.7250595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -15932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13792.0 0.0 -56.0 0.0 0.0 0.0 0.0 0.0 0.0 -288270.0 0.0 32832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 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 -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 -2.0 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 -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 1.0 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 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 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 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 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 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 -2.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 410228.0 32832.0 442368.0 0.0 0.0 13016.0 5423144.0 15932.0 479232.0 56.0 295984.0 0.0 0.0 0.0 0.0 24.0 407304.0 64.0 407232.0 0.0 0.0 960.0 294912.0 256.0 409076.0 0.0 0.0