Input: 0.46899414 0.013102214 0.010986328 0.0036621094 0.0067749023 0.0038655598 0.006123861 0.003133138 0.0030517578 0.0016072592 0.0042521157 0.0024617512 0.0011393229 0.00048828125 0.002726237 0.001200358 0.0014241537 0.0018717448 0.00197347 0.00079345703 0.0006713867 0.0010782877 0.0010172526 0.003194173 0.005554199 0.0006713867 0.00059000653 0.0009765625 0.0008544922 0.0016479492 0.0004272461 0.00081380206 0.002400716 0.0005493164 0.00036621094 0.0004679362 0.0007324219 0.0008748372 0.00044759116 0.0004272461 0.0021972656 0.00059000653 0.0017089844 0.0007527669 0.0011393229 0.00059000653 0.00197347 0.0008951823 0.0013020834 0.000386556 0.0005086263 0.00056966144 0.00030517578 0.000386556 0.0002644857 0.0007324219 0.00044759116 0.00040690103 0.00032552084 0.00036621094 0.00061035156 0.0016276041 0.0007527669 0.0009765625 0.00091552734 0.0014648438 0.0005289714 0.010131836 0.009358724 0.0012817383 0.0016886393 0.0013631185 0.0010782877 0.0018920898 0.00071207684 0.016479492 0.0009765625 0.00071207684 0.0007527669 0.0011393229 0.0015055338 0.00061035156 0.0010375977 0.0014851888 0.005004883 0.0004679362 0.00044759116 0.00048828125 0.00044759116 0.000386556 0.00036621094 0.00030517578 0.00028483072 0.00028483072 0.00036621094 0.001546224 0.0006306966 0.0034993489 0.0010172526 0.0017089844 0.0012613932 0.0087890625 0.0018717448 0.006184896 0.0010375977 0.021769205 0.000386556 0.0004679362 0.0033976238 0.0024820964 0.003560384 0.0059611 0.0021972656 0.004170736 0.005452474 0.004374186 0.0063476562 0.0021972656 0.0007527669 0.0045572915 0.0009765625 0.0017293295 0.0009765625 0.0015258789 0.00069173175 0.017578125 0.0006510417 0.00071207684 0.0025431316 0.0010172526 0.00032552084 0.00061035156 0.0005086263 0.0008544922 0.0014444987 0.0006306966 0.00069173175 0.00069173175 0.00044759116 0.0009765625 0.00083414715 0.0006713867 0.0008544922 0.00091552734 0.0010375977 0.00059000653 0.00048828125 0.00059000653 0.0007324219 0.0007324219 0.00048828125 0.00030517578 0.00061035156 0.00059000653 0.0005289714 0.00030517578 0.00034586588 0.0005086263 0.00071207684 0.0007324219 0.000386556 0.001200358 0.00081380206 0.0004272461 0.0004679362 0.00020345052 0.0005493164 0.00040690103 0.0005493164 0.00040690103 0.0006306966 0.0006510417 0.0004272461 0.00016276042 0.00059000653 0.00056966144 0.00024414062 0.0002644857 0.00069173175 0.00083414715 0.0006306966 0.00048828125 0.0002644857 0.00059000653 0.00040690103 0.00018310547 0.0002644857 0.0007324219 0.00069173175 0.00032552084 0.0010579427 0.0005086263 0.00071207684 0.00044759116 0.00020345052 0.0002644857 0.000386556 0.00071207684 0.0006713867 0.00081380206 0.00069173175 0.00034586588 0.00032552084 0.00040690103 0.00069173175 6.1035156e-05 0.00028483072 0.00061035156 0.0005086263 0.0041910806 0.000386556 0.0006306966 0.0008544922 0.00048828125 0.0005493164 0.00059000653 0.00079345703 0.0010782877 0.00020345052 0.0008544922 0.00081380206 0.0005086263 0.001159668 0.00071207684 0.0010579427 0.00079345703 0.00059000653 0.0007527669 0.0008544922 0.00061035156 8.138021e-05 0.0010375977 0.00071207684 0.0008544922 0.00022379558 0.0010579427 0.0008544922 0.00056966144 0.0007324219 0.0010782877 0.001159668 0.00061035156 0.00022379558 0.0012613932 0.0008748372 0.0008748372 0.0015869141 0.0016276041 0.001566569 0.0010986328 0.0008951823 0.0016072592 0.0010375977 0.00024414062 0.0008748372 0.1430664 0.1276284 0.0 0.0 1.0388962e-05 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.020487035 0.00010388963 0.00011427859 0.00011427859 4.155585e-05 6.233378e-05 5.1944815e-05 3.116689e-05 8.31117e-05 4.155585e-05 4.155585e-05 0.0 4.155585e-05 2.0777925e-05 0.0 4.155585e-05 0.03935339 0.00072722737 0.00048828125 2.0777925e-05 0.00027011303 0.00010388963 0.00077917223 0.00034283576 0.00015583444 7.272274e-05 6.233378e-05 6.233378e-05 3.116689e-05 1.0388962e-05 4.155585e-05 3.116689e-05 0.018804023 7.272274e-05 0.00017661236 0.00017661236 0.0002493351 0.00017661236 0.0007895612 0.0003012799 0.00017661236 5.1944815e-05 8.31117e-05 4.155585e-05 5.1944815e-05 4.155585e-05 3.116689e-05 5.1944815e-05 0.01742229 0.001392121 0.00054022606 0.0001973903 8.31117e-05 5.1944815e-05 0.00062333775 0.000561004 5.1944815e-05 4.155585e-05 4.155585e-05 0.0 2.0777925e-05 0.00013505651 2.0777925e-05 9.350067e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011209691 0.0018492354 0.00079995015 0.0006960605 0.006690492 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.116689e-05 0.07338763 0.003968584 0.003646526 0.0023167387 0.007957946 0.0025660738 0.015541888 0.009474734 0.0009557846 0.0006441157 0.00079995015 0.00046750333 0.0005817819 0.0011531749 0.00085189496 0.003345246 0.10327668 0.0068567153 0.0060879323 0.003095911 0.014534159 0.0034283577 0.007064495 0.008467005 0.0037919714 0.0021920712 0.0019011801 0.0014648438 0.0018180684 0.002514129 0.0020050697 0.04426737 0.05897814 0.0031062998 0.0020881814 0.0020570147 0.0087890625 0.005599651 0.020216921 0.013173205 0.002212849 0.0014440658 0.0012466755 0.0014648438 0.0012362866 0.0018596243 0.0015895113 0.023873836 0.02944232 0.0017349567 0.0010804521 0.00083111704 0.0048204786 0.001111619 0.007833278 0.006680103 0.0017037899 0.0010804521 0.001111619 0.0013090093 0.0011635638 0.0023375165 0.0018596243 0.021006484 0.02052859 0.0034906915 0.0009973404 0.00038439163 0.00731383 0.0012778424 0.010981133 0.015510721 0.004352975 0.0032725232 0.0028673536 0.0029712433 0.0025349068 0.0059528756 0.004965924 0.061533827 0.004415309 0.0006441157 0.00021816822 0.00025972407 0.0006025598 0.0009246177 0.0011739528 0.0013505651 0.0008103391 0.0006441157 0.00046750333 0.0005090592 0.00027011303 0.00059217087 0.00070644944 0.007687832 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 379.0 11.614776 4402.0 0.0027260336 0.0006815084 0.0009086779 0.0006815084 0.0011358473 0.0029532032 0.00045433894 0.0022716946 0.00022716947 0.0015901863 0.0029532032 0.0022716946 0.0056792367 0.0013630168 0.006360745 0.0020445252 0.0027260336 0.0011358473 0.0009086779 0.0020445252 0.00045433894 0.0015901863 0.0 0.0038618809 0.0009086779 0.0031803725 0.0006815084 0.0015901863 0.0022716946 0.0024988642 0.0034075421 0.00045433894 0.0015901863 0.012494321 0.0024988642 0.015901864 0.029077692 0.0074965926 0.014766015 0.010222626 0.005452067 0.010449796 0.004770559 0.1733303 0.0077237617 0.0038618809 0.004770559 0.0038618809 0.0061335755 0.00022716947 0.0068150843 0.01272149 0.040208995 0.0027260336 0.0009086779 0.0018173557 0.0024988642 0.0 0.0 0.00022716947 0.0006815084 0.00022716947 0.00022716947 0.00863244 0.0015901863 0.026351659 0.009086778 0.013402998 0.0074965926 0.079963654 0.009995457 0.018400727 0.004770559 0.066787824 0.00045433894 0.0020445252 0.032485235 0.015674694 0.032258064 0.030213539 0.011358473 0.0009086779 0.036119945 0.032485235 0.052703317 0.013175829 0.0029532032 0.0022716946 0.0040890505 0.010904134 0.00022716947 0.00022716947 0.0022716946 0.023852793 0.00045433894 0.0006815084 5.089428 0.0 0.0 0.0 1.0 49152.0 65536.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1263918100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5208697 0.0 4.4478188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9668.0 0.0 27912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 17776.0 27912.0 24576.0 0.0 0.0 0.0 0.0 12.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.1512705 0.00787456 0.004050194 0.0033600216 0.010052661 0.0032245247 0.0020720388 0.0021425784 0.01299655 0.0015818136 0.0015934856 0.0012676838 0.0062186536 0.0017294901 0.0010778864 0.0044658193 0.005154469 0.0019406015 0.0010347507 0.0008754021 0.0028753788 0.0016493084 0.0013108195 0.0006708879 0.0021050249 0.0014554511 0.00068154495 0.0009002686 0.004793144 0.0007622342 0.00071656104 0.0008134896 0.0027348069 0.0007170685 0.0012326677 0.0007591893 0.002325271 0.00086576 0.00072772556 0.001844688 0.0019517661 0.00061506516 0.00063942414 0.0012661613 0.0013544627 0.0007840558 0.0009322398 0.00071351614 0.0026612224 0.0017853128 0.0017244153 0.004633795 0.002227835 0.0018538226 0.0018558524 0.0017746558 0.0026267138 0.0025607415 0.0018908685 0.0033250055 0.002622654 0.0019862747 0.0016888918 0.0017883577 0.005911121 0.001484885 0.002686089 0.001473213 0.0021177118 0.018616885 0.0016178446 0.0009545689 0.0022039835 0.0010215562 0.0014057182 0.0060308864 0.0024962917 0.021705406 0.0040847026 0.00081044476 0.011662894 0.008356664 0.005838044 0.0039948784 0.003696988 0.009659365 0.00452215 0.004592689 0.0014077481 0.002214133 0.0006632757 0.00083937106 0.0013118344 0.0039679823 0.0013925238 0.0015056917 0.0013067597 0.0019522735 0.00087743206 0.0014742279 0.0035685957 0.0031468803 0.0015402002 0.0012042489 0.0046825134 0.0018863012 0.004940313 0.0007769511 0.0028434074 0.0009774055 0.0047378284 0.0019106603 0.0019390791 0.000568377 0.0046764235 0.0017284751 0.007358453 0.005942585 0.0012707287 0.0010580948 0.0016848319 0.001705131 0.0006028856 0.0006069455 0.0014767653 0.0023450628 0.0009596437 0.0010758565 0.0021679525 0.003112879 0.0009347772 0.010432255 0.005204202 0.0057390854 0.00075868185 0.0006632757 0.002067979 0.010623575 0.0011946068 0.0387963 0.0014869149 0.018972628 0.0006708879 0.0029388138 0.002772868 0.00071402366 0.0005917211 0.001174815 0.0014727055 0.0015133038 0.00060897536 0.0008931639 0.0013722245 0.00075411453 0.000630797 0.0005871538 0.0015001093 0.0006044081 0.00068712723 0.00069829175 0.0015046766 0.0019588708 0.00094797165 0.0014336295 0.0019705428 0.0009200603 0.00065363356 0.0006906796 0.0015544096 0.0006013632 0.00073838263 0.00058664626 0.0013884639 0.00060187065 0.0006033931 0.0007074264 0.0044358782 0.0008809844 0.00062724465 0.0005967959 0.0015371554 0.00081044476 0.0018421506 0.0040151775 0.0029799195 0.0012961027 0.0007104713 0.0009961822 0.0016721449 0.0038994723 0.0010616471 0.0008677899 0.004859116 0.004318143 0.0028266606 0.0030514742 0.0045921816 0.0013169092 0.0050534806 0.004567823 0.0035574313 0.0017639986 0.0008885966 0.0008566254 0.019373536 0.0008515506 0.0011986665 0.000841401 0.005740608 0.0009444193 0.001398106 0.00071605353 0.0022877175 0.00088402926 0.00071808347 0.00067342527 0.0022598063 0.00661804 0.0008835218 0.0011230521 0.0023881984 0.0022263124 0.000692202 0.00069575437 0.0027530761 0.0010180038 0.0009297024 0.000989585 0.002893648 0.0030078308 0.003845172 0.0035655508 0.023125332 0.005025062 0.0007297555 0.0033341402 0.007358453 0.0034599951 0.0015158412 0.0019806924 0.0066972068 0.0026759394 0.00092716503 0.0010728117 0.003488414 0.0011702477 0.002380079 0.0023673917 0.004985986 0.004648512 0.0020887856 0.0073310486 0.014464688 0.0037269294 0.004438923 0.10214395 0.011501144 1.5234984e-06 5.078328e-07 0.0 0.0 0.0 0.0 7.617492e-07 1.0156656e-06 1.0156656e-06 7.617492e-07 1.0156656e-06 1.2695821e-06 1.5234984e-06 2.2852475e-06 0.02332857 1.0156656e-06 0.0 0.0 0.0 0.0 0.0 0.0 2.539164e-07 5.078328e-07 2.0313312e-06 1.5234984e-06 2.0313312e-06 2.5391641e-06 3.808746e-06 8.887074e-06 0.00049742224 0.0004844725 1.4727151e-05 2.2852475e-06 2.7930805e-06 4.570495e-06 6.6018265e-06 7.1096592e-06 9.648824e-06 7.1096592e-06 6.6018265e-06 5.0783283e-06 5.3322447e-06 9.14099e-06 0.0004898048 2.9708219e-05 0.0004750776 0.00047025317 2.8438637e-05 4.3165787e-06 7.1096592e-06 8.125325e-06 9.90274e-06 7.3635756e-06 1.7012399e-05 6.34791e-06 7.871408e-06 1.269582e-05 1.2949737e-05 2.2344644e-05 0.0006406311 1.269582e-05 0.0008120247 1.9297648e-05 2.2852475e-06 1.2695821e-06 1.0156656e-06 8.430025e-05 7.058876e-05 0.00010639097 8.3792416e-05 9.1663824e-05 7.465143e-05 9.623432e-05 0.00020211746 9.217166e-05 0.0041743857 4.3673623e-05 0.001096411 0.0016893059 6.4494765e-05 1.54889e-05 8.2522834e-05 6.5256514e-05 8.3792416e-05 6.424085e-05 0.00036284653 9.7249984e-05 7.719059e-05 6.703393e-05 0.00016479175 7.846017e-05 0.0017017478 6.322518e-05 0.0010425808 0.0046758708 0.00010816839 0.0003961096 5.586161e-05 0.00014981069 0.00044790853 0.00027296014 0.00015361943 0.00068430474 0.00023487267 7.871409e-05 0.0001005509 0.00013863835 0.00038315984 0.00018231198 0.0033775961 0.030882329 0.00084274856 0.0012200683 0.00042988049 0.0010768595 0.0037081952 0.0016496949 0.000941776 0.00096615194 0.0007680971 0.00054668204 0.0006307284 0.0005918791 0.00077876163 0.00033237657 0.0061158305 0.017202076 0.00086585496 0.001096411 0.00040677408 0.00069090654 0.0027108116 0.00082827534 0.00058527733 0.0012919267 0.00093695155 0.0005662336 0.00044943203 0.0003448185 0.00050834066 0.00058756256 0.005249722 0.013845554 0.00035040465 0.0008818517 0.0004966605 0.0029086124 0.0014130448 0.0048005437 0.0021519416 0.0007030945 0.0007117277 0.0004486703 0.00046162002 0.00034253323 0.00038214418 0.00070766505 0.003715305 0.009112806 0.000683289 0.0010283615 0.0005621709 0.0019048809 0.00085239735 0.002469337 0.0014242171 0.0006363145 0.00068151165 0.00046162002 0.0006332675 0.00039484003 0.00051418075 0.0007719059 0.0028298984 0.011030637 0.0017367882 0.00216286 0.019195065 0.004395547 0.0023870682 0.0041175084 0.002581822 0.001828452 0.0016375069 0.0017649729 0.0019036114 0.0016682307 0.0017738601 0.0022672196 0.004031431 0.012081597 0.002116901 0.0011535422 0.0010707654 0.0048739254 0.004431349 0.0025676028 0.0023433946 0.009631811 0.0012581558 0.0011611597 0.0013741956 0.005334022 0.0012871022 0.0046971994 0.014300064 0.08006644 0.013320963 0.006445414 0.00824035 0.04594846 0.03722846 0.014348816 0.014642597 0.07185936 0.006118878 0.007208687 0.015020933 0.040904664 0.011298772 0.04359821 0.07828878 0.017612658 0.0040966873 0.0023824975 0.003726731 0.007747751 0.008920337 0.0032513996 0.006369493 0.014432862 0.0013952707 0.0017540546 0.002384529 0.007354181 0.0029576183 0.007386682 0.015351532 0.004207395 0.0034923663 0.0026656145 0.0027430588 0.004759409 0.00337785 0.0033242735 0.0033207189 0.0035764126 0.0026663763 0.002685166 0.004850565 0.00266663 0.0033494113 0.0048320293 0.004164991 5163.0 12.674608 65439.0 0.014777121 0.0010849799 0.0010391357 0.0012683568 0.009535598 0.0014670151 0.002139397 0.0016045477 0.0068919146 0.0012072312 0.0008863216 0.001726799 0.0064487536 0.0023074925 0.0075642965 0.0009321658 0.01878085 0.015281407 0.013554608 0.014838247 0.019392105 0.016626172 0.017283272 0.015220282 0.022249728 0.016137166 0.016274698 0.015907945 0.022738734 0.016137166 0.014364523 0.020293709 0.026207613 0.010681704 0.002964593 0.012836382 0.011720839 0.0050123017 0.005592995 0.004721955 0.008740965 0.0050887084 0.0016656733 0.0020018644 0.009260532 0.004737236 0.003866196 0.0036675378 0.0139366435 0.0033160653 0.004767799 0.013829674 0.010253824 0.01856691 0.013875518 0.010880362 0.007854643 0.0022616482 0.0031632513 0.001879613 0.0070294472 0.0036216935 0.00391204 0.007839362 0.006784945 0.02550467 0.007212824 0.013187855 0.020385398 0.035208363 0.006861352 0.009260532 0.013829674 0.020874402 0.006341784 0.0034077538 0.024022372 0.0072739497 0.019285135 0.022723453 0.013371231 0.001573985 0.020660462 0.017604182 0.059352987 0.009718975 0.0055318694 0.0039426032 0.011720839 0.01379911 0.0030257185 0.0025825577 0.007625422 0.0018948945 0.0015892664 0.0021241156 6.118774 0.0 0.0 0.0 8.0 1970523.0 2002944.0 1.0 0.0 453.0 1.0 1.0 0.0 0.0 0.0 1474359400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 9.0 0.0 5.0 0.0 5.0 0.0 1173504.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -96256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 275968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1364992.0 0.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.566653 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5493665 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9842596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.047838 0.0 4.8165584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96026.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 275582.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1365620.0 0.0 208608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 1.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -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 1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 -1.0 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 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 1.0 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 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 -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 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -3.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 -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 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 460.0 1444524.0 208608.0 1503232.0 0.0 0.0 0.0 0.0 72176.0 1712128.0 28.0 1181792.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1306440.0 0.0 0.0 1900.0 1179648.0 64.0 1444388.0 0.0 0.0


Input: 0.1558023 0.024235912 0.010506208 0.016236868 0.014804202 0.008834766 0.020773638 0.0038204393 0.004297994 0.0066857687 0.004417383 0.0046561603 0.0033428844 0.0069245463 0.0046561603 0.002148997 0.0041786055 0.003104107 0.0028653296 0.007999045 0.003104107 0.0015520535 0.0037010505 0.003104107 0.0025071632 0.0014326648 0.0022683858 0.0023877746 0.0019102197 0.0063276025 0.002626552 0.0033428844 0.012535817 0.0020296085 0.002626552 0.0019102197 0.002626552 0.002148997 0.001790831 0.002148997 0.002148997 0.002148997 0.003939828 0.005372493 0.0025071632 0.0050143264 0.009909265 0.0057306592 0.031518623 0.010744986 0.0069245463 0.004894938 0.002148997 0.003581662 0.0023877746 0.0023877746 0.0034622732 0.0028653296 0.0029847182 0.0010744985 0.0010744985 0.0015520535 0.0008357211 0.0016714422 0.002148997 0.004059217 0.00095510983 0.00656638 0.0032234958 0.0022683858 0.0027459408 0.0023877746 0.0046561603 0.003939828 0.0010744985 0.0020296085 0.0034622732 0.0015520535 0.0046561603 0.0023877746 0.0051337155 0.0014326648 0.0016714422 0.0077602672 0.0038204393 0.010028653 0.0014326648 0.0047755493 0.00095510983 0.0011938873 0.0027459408 0.002626552 0.001313276 0.0007163324 0.0019102197 0.0015520535 0.001790831 0.0155205345 0.0023877746 0.011938873 0.00752149 0.02447469 0.0015520535 0.004059217 0.0064469916 0.015639924 0.0019102197 0.0022683858 0.0066857687 0.010983763 0.0134909265 0.010864374 0.009789876 0.001790831 0.011819485 0.009073543 0.022206305 0.0029847182 0.001790831 0.005372493 0.0019102197 0.004297994 0.0014326648 0.001313276 0.001790831 0.0011938873 0.00095510983 0.00095510983 0.003104107 0.0025071632 0.0072827125 0.001313276 0.00059694366 0.001313276 0.00752149 0.0023877746 0.0010744985 0.0015520535 0.0014326648 0.002148997 0.0015520535 0.0008357211 0.0007163324 0.0010744985 0.00059694366 0.001790831 0.0025071632 0.0016714422 0.001313276 0.0015520535 0.0015520535 0.0010744985 0.0016714422 0.0022683858 0.0020296085 0.0010744985 0.0015520535 0.00095510983 0.0008357211 0.0014326648 0.0033428844 0.001313276 0.0008357211 0.001790831 0.0014326648 0.0014326648 0.001313276 0.001313276 0.0010744985 0.001790831 0.0019102197 0.00095510983 0.0011938873 0.001313276 0.001790831 0.0010744985 0.001790831 0.002148997 0.0010744985 0.00095510983 0.0020296085 0.00059694366 0.0011938873 0.0015520535 0.0015520535 0.002148997 0.0008357211 0.0015520535 0.0016714422 0.0016714422 0.0015520535 0.0011938873 0.00095510983 0.0015520535 0.0019102197 0.0014326648 0.0011938873 0.0020296085 0.0010744985 0.0014326648 0.0014326648 0.001313276 0.001313276 0.00095510983 0.001313276 0.0034622732 0.00095510983 0.001790831 0.00095510983 0.001313276 0.0010744985 0.0010744985 0.0014326648 0.0011938873 0.0008357211 0.001313276 0.0014326648 0.0014326648 0.0020296085 0.001313276 0.0015520535 0.002626552 0.0008357211 0.00059694366 0.0016714422 0.0008357211 0.0016714422 0.001313276 0.001313276 0.00059694366 0.0014326648 0.0011938873 0.0010744985 0.0011938873 0.0011938873 0.00095510983 0.0007163324 0.0011938873 0.0014326648 0.0015520535 0.0015520535 0.0015520535 0.00047755492 0.0010744985 0.001790831 0.0016714422 0.0014326648 0.003939828 0.0011938873 0.00095510983 0.0010744985 0.0008357211 0.002148997 0.00095510983 0.002148997 0.0023877746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.072684154 0.00327846 0.004952567 0.00516183 0.0055803573 0.004464286 0.02985491 0.010602678 0.00069754466 0.001953125 0.0004185268 0.00069754466 0.00069754466 0.0008370536 0.00055803574 0.0004185268 0.06508092 0.0030691964 0.004603795 0.00906808 0.006417411 0.0056501115 0.030343192 0.012834822 0.0017438616 0.00062779017 0.0008370536 0.0007672991 0.00048828125 0.00034877233 0.00034877233 0.00062779017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04422433 0.007882254 0.008928572 0.013253348 0.0061383927 0.00655692 0.02064732 0.01297433 0.00453404 0.0025111607 0.0032087055 0.001953125 0.002580915 0.001813616 0.0025111607 0.0031389508 0.080078125 0.028250558 0.035226006 0.04234096 0.023716519 0.025251117 0.046177454 0.034249444 0.022391183 0.011997768 0.013950893 0.014299666 0.013392857 0.011439732 0.011579241 0.01422991 0.02532087 0.010114397 0.011858259 0.013253348 0.00655692 0.008370535 0.014508928 0.010672433 0.0073939734 0.004603795 0.004603795 0.0057896203 0.0057896203 0.00453404 0.0037667411 0.005719866 107.0 18.943926 2027.0 0.036507152 0.0014800198 0.0024666996 0.0004933399 0.0044400594 0.0009866798 0.0034533793 0.0029600395 0.0024666996 0.0014800198 0.0004933399 0.0029600395 0.0024666996 0.015786877 0.032067094 0.017760238 0.05229403 0.023680316 0.021706956 0.009866798 0.0029600395 0.0074000987 0.004933399 0.0009866798 0.005426739 0.005426739 0.0069067585 0.0004933399 0.0004933399 0.0004933399 0.0004933399 0.0 0.0004933399 0.008880119 0.0 0.016773557 0.0034533793 0.0029600395 0.0004933399 0.0044400594 0.0034533793 0.006413419 0.0 0.0009866798 0.0024666996 0.0004933399 0.011840158 0.003946719 0.013320178 0.0004933399 0.0014800198 0.018253576 0.010853478 0.0014800198 0.0004933399 0.006413419 0.0004933399 0.0 0.0044400594 0.0004933399 0.0009866798 0.0004933399 0.0019733596 0.0 0.0014800198 0.05081401 0.0044400594 0.037987173 0.018253576 0.08485446 0.0009866798 0.009373458 0.017266897 0.04242723 0.0019733596 0.005426739 0.017266897 0.038480513 0.038480513 0.027627034 0.032560434 0.0009866798 0.033547115 0.022693636 0.07005427 0.004933399 0.004933399 0.017266897 0.0014800198 0.0103601385 0.0019733596 0.0004933399 0.0004933399 0.0004933399 0.0 0.0 5.376965 0.0 13.0 0.0 1.0 8376.0 12288.0 1.0 20.0 0.0 0.0 1.0 1.0 0.0 0.0 1469683000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 1024.0 512.0 4096.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.875149 0.0 3.348878 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -881.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 657.0 4320.0 0.0 0.0 1024.0 8192.0 0.0 0.0 5816.0 2560.0 0.0 0.0 56.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.80027044 0.0041090744 0.0014967698 0.0012638973 0.002726863 0.00088454026 0.0009934645 0.0006460337 0.0029897837 0.0006347656 0.0006253756 0.0005033053 0.002355018 0.0008958083 0.00033052886 0.0012732872 0.001990685 0.0022911658 0.00022723858 0.00028357873 0.0009671725 0.0012601413 0.00024601864 0.00025916466 0.00067795976 0.00040752706 0.0005521334 0.000384991 0.00097092846 0.00041879507 0.0003568209 0.00034743088 0.0012638973 0.0002347506 0.00013521635 0.00028733473 0.0020357573 0.00033240684 0.00013709435 0.00017277645 0.0007155198 0.00017465444 0.00012394832 0.00042442908 0.00025728665 0.00018404447 0.00030423678 0.00015775241 0.0006911058 0.00018592247 0.00025165264 0.0013559195 0.00034179687 0.00034743088 0.00028170072 0.00029860277 0.0005258414 0.0006892278 0.00019343449 0.001160607 0.000384991 0.00048264724 0.00016902044 0.00036996696 0.002319336 0.004625526 0.001139949 0.0005821815 0.0009728065 0.0025334284 0.0010216347 0.0005371094 0.00069486175 0.000383113 0.00014648438 0.0001953125 0.0007042518 0.0013484075 0.0005014273 0.0002366286 0.0022742639 0.00064978964 0.000383113 0.0012451172 0.00045635516 0.0009897086 0.0019437349 0.0013277493 0.00052020734 0.0011474609 0.00016902044 0.00052020734 0.00022911659 0.0016883264 0.0012883113 0.00092773436 0.0005690355 0.0009934645 0.00034367488 0.0008150541 0.00076059194 0.0016413762 0.0005371094 0.00022911659 0.0010422927 0.0005934495 0.0018836388 0.00012019231 0.0005803035 0.0003079928 0.0006892278 0.00076059194 0.000801908 0.00021221454 0.00091834436 0.00067795976 0.0041579027 0.0036940353 0.0005596454 0.00078500604 0.00056527945 0.00041691706 0.00020658053 0.00019343449 0.00048828125 0.00070800784 0.00048076923 0.0008695162 0.0012207031 0.0005126953 0.00016150842 0.0030160758 0.0007249098 0.0021503156 0.00024226261 0.00013146034 0.000779372 0.0026724008 0.00060096156 0.007528921 0.00021597055 0.001998197 0.00034179687 0.00022911659 0.0008582482 9.765625e-05 0.00015024039 0.00021784856 0.0003061148 0.0026235727 9.9534256e-05 0.0003173828 0.00024226261 0.0002347506 6.197416e-05 0.00015211839 0.00020845853 0.00013709435 0.00017277645 0.00013521635 0.00029860277 0.0005070613 0.00016714243 0.00026667668 0.00022911659 0.0003568209 0.00018028847 0.00014085036 0.00030048078 0.00021033654 0.0002685547 0.00016150842 0.00020282452 6.573017e-05 0.00011268029 0.00012394832 0.0003192608 0.0001953125 0.00021972656 0.00010141226 0.0001971905 0.00012394832 0.00030235876 0.00017841045 0.00076434796 0.00030987078 0.0001915565 0.00024414062 0.00026104267 0.00013521635 0.0003061148 0.00025916466 0.002375676 0.00070800784 0.0008695162 0.0016282302 0.0005615234 0.00010892428 0.0006648137 0.0008000301 0.0005483774 0.00079439604 0.0001539964 0.00021972656 0.0008882963 0.0001971905 0.0005126953 0.00028921274 0.0004319411 0.0002798227 0.0002760667 0.00030048078 0.0002741887 0.00016902044 0.00021221454 0.00035869892 0.001188777 0.00019906851 0.00020282452 0.00036433293 0.00037935696 0.00025353066 0.00018780048 0.00016526443 0.0006798377 0.00017653246 0.00014085036 0.00016526443 0.00029109075 0.00014460637 0.00016714243 0.00012019231 0.0039494443 0.00084698014 0.0009990985 0.0016507662 0.00092773436 0.00020094651 0.00016338642 0.0009671725 0.001207557 0.00057466945 0.00016902044 0.00032113882 0.0006122296 0.00012394832 0.00081693206 0.00045072116 0.001188777 0.00033804087 0.00017841045 0.00029484674 0.0012244591 0.00031550482 0.00090519834 0.01726262 0.7205611 0.0 3.7632467e-06 2.822435e-06 5.64487e-06 3.7632467e-06 2.9165161e-05 1.0348928e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0054576485 1.8816234e-05 8.467305e-06 6.5856816e-06 4.4218148e-05 6.5856816e-06 4.7040585e-06 2.7283539e-05 3.7632467e-06 1.0348928e-05 3.7632467e-06 8.467305e-06 7.5264934e-06 5.64487e-06 8.467305e-06 0.00015805635 0.0034875888 4.3277338e-05 0.00016840528 1.2230552e-05 1.41121745e-05 1.3171363e-05 1.2230552e-05 9.408117e-06 2.9165161e-05 1.128974e-05 1.5993799e-05 3.7632467e-06 5.64487e-06 1.8816233e-06 6.5856816e-06 1.8816234e-05 0.0017254485 3.1046784e-05 1.8816234e-05 1.8816233e-06 1.7875422e-05 2.3520292e-05 3.4810033e-05 1.693461e-05 2.822435e-06 1.0348928e-05 5.64487e-06 7.5264934e-06 5.64487e-06 1.5993799e-05 3.7632467e-06 4.7040585e-06 0.0016454796 1.693461e-05 1.5993799e-05 7.5264934e-06 5.5507888e-05 1.0348928e-05 4.7040585e-06 1.9757044e-05 1.7875422e-05 1.693461e-05 1.2230552e-05 1.2230552e-05 1.3171363e-05 1.2230552e-05 2.7283539e-05 3.857328e-05 0.0061820736 0.00016746447 0.0002502559 0.00012983201 0.00014206256 2.3520292e-05 3.857328e-05 0.000100666846 8.279143e-05 6.491601e-05 4.8922207e-05 3.1987598e-05 5.7389512e-05 5.4567077e-05 3.7632468e-05 0.00029447404 0.008720383 0.00023990698 0.00019098476 0.00028600675 0.00018251745 0.00017216854 0.00034810032 0.00019662964 0.00017310935 0.00018251745 0.00030011893 9.4081166e-05 7.902818e-05 8.0909806e-05 9.502198e-05 0.00021920912 0.011677355 0.00022014993 0.00023238048 0.00012700957 0.0012428121 0.00039137766 0.0005127424 0.00036127167 0.0004186612 0.0002813027 8.373224e-05 0.00023049886 0.00016370123 0.000110074965 0.00016558285 0.0011223883 0.0037180877 0.000111015775 0.00012324633 8.8436296e-05 0.0003151719 0.000105370906 0.00015523392 0.00018063583 0.000113838214 0.00016558285 0.00025590078 6.303438e-05 8.279143e-05 6.773844e-05 7.432412e-05 0.00015993798 0.0063617686 0.0011308556 0.00038949604 0.0005221505 0.0013453607 0.0010979272 0.002537369 0.0020114554 0.0002765986 0.0019098477 0.000116660645 0.00010160766 0.0001702869 0.000109134155 0.00035186356 0.00083544076 0.0072113215 0.0007761696 0.00046570177 0.00036033086 0.0011082761 0.00033681057 0.0009530422 0.0008222694 0.00029259242 0.00068397005 0.00035280437 0.00018910314 0.0001702869 0.00026154565 0.0003876144 0.0010424193 0.007966793 0.0011600208 0.00048169558 0.00051086076 0.0013698217 0.0012493979 0.0013867564 0.0010725253 0.00042430605 0.0008185061 0.00052779535 0.00034998194 0.00037538385 0.00064821925 0.00078463694 0.002067904 0.002367082 0.00036691656 0.00019098476 0.00035092275 0.00020886019 7.432412e-05 9.9726036e-05 0.00038102872 0.00030764542 0.00028036188 0.00031705352 0.00025590078 0.00019757045 0.0007912226 0.0011929491 0.0022513622 0.013979521 0.002637095 0.0014940089 0.0019916983 0.0045516468 0.004296687 0.0018392868 0.004052076 0.008106033 0.0005626054 0.0005324994 0.0010236031 0.003676692 0.0010734661 0.0030595195 0.006853813 0.020795701 0.0047134664 0.002901463 0.0033445854 0.0073552653 0.007962089 0.0038987235 0.0064868964 0.012318047 0.0010179582 0.0010207806 0.0017376791 0.0063316626 0.0020048697 0.005414371 0.010962337 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 640.0 12.840625 8218.0 0.012655147 0.00097347284 0.0007301046 0.003285471 0.0060842056 0.0059625213 0.000121684105 0.0006084205 0.017035775 0.0007301046 0.00097347284 0.0007301046 0.001095157 0.0018252616 0.008396204 0.00085178873 0.009856413 0.002433682 0.0038938913 0.002190314 0.0019469457 0.0035288392 0.0054757847 0.0006084205 0.001216841 0.002433682 0.0017035775 0.0017035775 0.0015818934 0.0031637868 0.00097347284 0.00888294 0.011803359 0.02397177 0.0037722073 0.017644195 0.008517887 0.013385252 0.009856413 0.011925043 0.0071793622 0.00681431 0.0013385252 0.0017035775 0.008274519 0.013506936 0.0038938913 0.0059625213 0.014602093 0.0041372594 0.009126308 0.020564614 0.01155999 0.015818935 0.013141884 0.0143587245 0.0027987345 0.0026770504 0.00085178873 0.0018252616 0.0013385252 0.069846675 0.0042589437 0.012776831 0.00085178873 0.029447554 0.006570942 0.018130932 0.020321246 0.07203699 0.005354101 0.00888294 0.008274519 0.029690923 0.0040155756 0.0025553664 0.02397177 0.012411779 0.034436602 0.039425652 0.014845462 0.00048673642 0.03614018 0.02543198 0.056704793 0.015332198 0.0030421028 0.014237041 0.009978097 0.0060842056 0.00097347284 0.00024336821 0.0007301046 0.00024336821 0.001095157 0.035166707 5.696624 0.0 0.0 0.0 2.0 532480.0 172032.0 0.0 0.0 240.0 0.0 1.0 0.0 0.0 0.0 1127484500.0 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 6.0 0.0 4.0 0.0 4.0 0.0 86016.0 4096.0 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 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86016.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8482175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6514055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5943847 0.0 4.5951567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83606.0 0.0 31936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 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 -1.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 -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 -1.0 1.0 0.0 0.0 -1.0 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 -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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -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 -1.0 1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 104352.0 31936.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 988.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.24302642 0.046966758 0.02307047 0.008861158 0.017604342 0.0051122066 0.015454593 0.004247064 0.009201972 0.0032246225 0.011089555 0.002307047 0.0019269085 0.0025561033 0.0043388214 0.0013108222 0.004915583 0.015113779 0.014537018 0.004522336 0.0025692114 0.0068293833 0.002831376 0.002608536 0.0030542156 0.0022546141 0.0038144924 0.0019269085 0.0012846057 0.003263947 0.004378146 0.0015205537 0.005269505 0.0017302852 0.0036440855 0.0024643457 0.0022546141 0.005138423 0.002425021 0.0018482592 0.007904258 0.0093985945 0.008756292 0.0028707006 0.0047058514 0.0025561033 0.0045092283 0.0031197567 0.0036571939 0.003080432 0.0030017828 0.0020842073 0.0018875839 0.001481229 0.003788276 0.0014681208 0.0016647441 0.0023201553 0.0016254195 0.0011535235 0.005138423 0.0017696099 0.005164639 0.0018875839 0.0027396183 0.005269505 0.0042208475 0.00471896 0.0034605705 0.0022283976 0.003788276 0.0028838087 0.0011666317 0.0019138004 0.00068162754 0.00117974 0.0019138004 0.0019400168 0.0014681208 0.0012846057 0.002595428 0.0011141988 0.0019400168 0.0027527264 0.0027527264 0.0010748742 0.001717177 0.00085203437 0.0006291946 0.001415688 0.0011010906 0.0010093331 0.0007209522 0.0009569002 0.00044567953 0.016162436 0.0014025797 0.014471477 0.0030542156 0.009883599 0.009896707 0.02881187 0.001533662 0.0077338507 0.0017696099 0.01548081 0.00077338505 0.0054792366 0.010499685 0.005662752 0.012269296 0.0196099 0.0068556 0.0017040687 0.013986472 0.016962038 0.020671666 0.0068424917 0.0025167784 0.0007209522 0.0009700084 0.004548553 0.00064230285 0.006554111 0.0020579908 0.0061215395 0.001533662 0.00032770555 0.006816275 0.0024381292 0.00034081377 0.00390625 0.0024643457 0.00056365354 0.006672085 0.00030148908 0.00044567953 0.00077338505 0.0006160864 0.008494128 0.00076027686 0.0006160864 0.0004194631 0.00060297817 0.0004981124 0.0006160864 0.00017040689 0.00026216442 0.00051122066 0.00047189597 0.00032770555 0.00047189597 0.00027527264 0.0006291946 0.00038013843 0.00027527264 0.00034081377 0.0014419043 0.00032770555 0.00051122066 0.0015205537 0.0014943372 0.0010879824 0.0006160864 0.00045878775 0.00039324665 0.00026216442 0.00032770555 0.0004981124 0.0004194631 0.00015729865 0.0004325713 0.00052432885 0.0007209522 0.00052432885 0.00022283976 0.00047189597 0.0005767617 0.00026216442 0.00039324665 0.00047189597 0.00030148908 0.0004194631 0.00044567953 0.00044567953 0.0009044673 0.00028838086 0.0007340604 0.000353922 0.00023594798 0.0003670302 0.00028838086 0.0009831166 0.001297714 0.0002490562 0.00069473573 0.0004850042 0.000353922 0.00052432885 0.00032770555 0.0004325713 0.0004981124 0.00030148908 0.0002490562 0.0002490562 0.00064230285 0.00044567953 0.0003670302 0.0004194631 0.0005767617 0.0003145973 0.00028838086 0.00077338505 0.00045878775 0.00015729865 0.0002490562 0.0004850042 0.0007864933 0.00022283976 0.0003670302 0.00038013843 0.0004850042 0.00052432885 0.002005558 0.0010879824 0.00082581793 0.00026216442 0.0004325713 0.0004981124 0.00027527264 0.001481229 0.0006160864 0.0019924496 0.0004194631 0.00023594798 0.00039324665 0.00052432885 0.0003670302 0.0003670302 0.0006160864 0.00030148908 0.00028838086 0.00022283976 0.0003670302 0.0003145973 0.0003670302 0.00039324665 0.00069473573 0.0006160864 0.00056365354 0.00028838086 0.00022283976 0.00022283976 0.00034081377 0.0018875839 0.0006160864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.036132812 0.0014982877 0.00517043 0.0048828125 0.015444403 0.015658444 0.094579406 0.043557364 0.0012441139 8.026541e-05 0.00029430652 9.364298e-05 0.000113709335 0.000120398116 0.00018059717 0.0001270869 0.06540962 0.006006528 0.009819135 0.0032373716 0.0023076306 0.002448095 0.0049563893 0.0070767337 0.0020935894 0.0009230522 0.0011237158 0.00068894477 0.0005484803 0.00078258774 0.00096987374 0.0011972924 0.14284568 0.027524346 0.026099635 0.011999679 0.0085683325 0.009926156 0.033076037 0.030795163 0.008876016 0.0012976242 0.0028494222 0.0017591503 0.0022206763 0.0019665025 0.0023009419 0.0029631315 0.04804554 0.016287189 0.009156946 0.0074312394 0.0048895013 0.0042340006 0.009090058 0.0061871256 0.009090058 0.0014447774 0.0012842466 0.0010902719 0.0014380886 0.00094980735 0.0019665025 0.00070232234 0.08069349 0.01590593 0.014461151 0.010922785 0.007685413 0.0040199594 0.005678778 0.004274133 0.012675246 0.0027490903 0.003130351 0.0026822025 0.003036708 0.0034848566 0.0044814856 0.00220061 0.019330587 0.009223834 0.0046353275 0.0032641266 0.0023076306 0.0015317316 0.0025618044 0.00242134 0.0029363763 0.0011571597 0.0011504709 0.0007424551 0.00086954195 0.0013377569 0.0006755672 0.0006488121 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1027.0 17.615385 18091.0 0.00060803717 5.5276105e-05 5.5276105e-05 0.00022110442 5.5276105e-05 0.0 0.0 0.0 0.0 0.0 0.00011055221 0.00066331326 5.5276105e-05 0.00022110442 0.00851252 0.0004974849 0.0038140512 0.005969819 0.0054170582 0.0020452158 0.0015477309 0.0013819026 0.0013266265 0.000552761 0.00093969377 0.0024874248 0.00011055221 0.0 0.016638108 0.00016582831 0.016638108 0.0 5.5276105e-05 0.01149743 0.011607982 0.010170803 0.0074622743 0.0031507378 0.011442154 0.009065281 0.002211044 0.004809021 5.5276105e-05 0.0022663202 0.0050301254 0.004919573 0.003758775 0.0029296335 0.008015035 0.00060803717 0.005361782 0.008180863 0.008346692 0.0017688354 0.0018793875 0.000552761 5.5276105e-05 0.00016582831 0.00038693272 0.00011055221 0.0 0.0 0.0 0.064396665 0.0009949699 0.049140457 0.010115527 0.03460284 0.03659278 0.11066276 0.003758775 0.028688299 0.0040351558 0.055718314 0.001603007 0.019899398 0.034879223 0.014371787 0.04598972 0.051572606 0.014205959 0.0016582832 0.044165608 0.054557513 0.07506495 0.021004919 0.0076833786 0.001603007 0.002100492 0.014813996 0.00016582831 0.0 0.0 0.0 0.0 0.0 5.0001616 0.0 0.0 0.0 1.0 76288.0 106496.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1529851500.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 74240.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74240.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.04171 0.0 3.2677383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73936.0 0.0 988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 82040.0 988.0 90112.0 0.0 0.0 0.0 0.0 12.0 98304.0 28.0 81728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.051713888 0.0051284945 0.0040410883 0.004522708 0.004406065 0.003924446 0.003491741 0.0042856606 0.0035293675 0.0035406554 0.0032810324 0.0036610602 0.0034729277 0.0035406554 0.0031719157 0.004801144 0.0039733606 0.0028671408 0.002863378 0.0034315386 0.0036159086 0.003728788 0.003111713 0.003619671 0.0033901494 0.0032283554 0.0030966625 0.0033788614 0.0033788614 0.0035105543 0.0034992662 0.004184069 0.004665688 0.0029574444 0.0028558527 0.0032509312 0.0055800127 0.0030552733 0.0029348684 0.0034654024 0.0030552733 0.002995071 0.0031230012 0.0033224216 0.0031305263 0.0033487603 0.0036572977 0.0039093955 0.004052376 0.0033788614 0.0032396433 0.004116341 0.0034014373 0.0035820447 0.003393912 0.0036309592 0.0034654024 0.0037476013 0.003653535 0.0039808857 0.0038642436 0.0043834895 0.003879294 0.004567859 0.007461339 0.0034729277 0.0032283554 0.003664823 0.004108816 0.0029988335 0.0034691652 0.0035105543 0.0030176467 0.003059036 0.0027354478 0.0031944914 0.0035519435 0.0031944914 0.0033826241 0.003935734 0.0044173533 0.0035180796 0.0030176467 0.0035105543 0.0033788614 0.0034428264 0.0035933326 0.003762652 0.0029122925 0.003156865 0.0030778493 0.003762652 0.0035218422 0.0036761109 0.0041313916 0.004692027 0.0029875457 0.0038868194 0.0030891371 0.0034465892 0.0034729277 0.0052564247 0.004421116 0.003988411 0.0048161945 0.0041125785 0.0039394964 0.0032396433 0.004018512 0.0034654024 0.0045264703 0.004865109 0.0037927532 0.0031756782 0.004541521 0.0042668474 0.005546149 0.004477556 0.003566994 0.004353388 0.0038755315 0.0038642436 0.0034503518 0.004018512 0.0045979605 0.0042405087 0.0041953567 0.0047973813 0.004466268 0.0034353011 0.0030176467 0.0050306655 0.0036347217 0.0036911615 0.0031606276 0.0034541145 0.0035745194 0.0036723483 0.0033788614 0.005914889 0.0033487603 0.004466268 0.0032283554 0.0036761109 0.0031832035 0.0031004252 0.0031681529 0.0031230012 0.002931106 0.0027504985 0.0032020167 0.003457877 0.0032847952 0.003416488 0.003156865 0.0032810324 0.0033036084 0.0035368928 0.0037137375 0.0041464423 0.0034842156 0.0034766903 0.0029649697 0.0033675735 0.00327727 0.00322083 0.002972495 0.003503029 0.003232118 0.0031380516 0.003059036 0.0033449975 0.0031719157 0.0030816118 0.0032998456 0.0038567183 0.0032170673 0.0030138842 0.0032434058 0.003935734 0.003642247 0.0030778493 0.003307371 0.0038115664 0.0038228543 0.0036159086 0.0035406554 0.0037588892 0.0034616399 0.003578282 0.0043270495 0.004665688 0.0043759644 0.0035368928 0.0033111337 0.0038755315 0.003920683 0.0032659818 0.0032057795 0.003913158 0.0031154759 0.0032584565 0.0031832035 0.0034127254 0.005764383 0.0035481807 0.0036271964 0.0040072245 0.003785228 0.0033337097 0.0033826241 0.0035481807 0.0032434058 0.0030929 0.0032998456 0.0039319713 0.0034014373 0.003371336 0.003232118 0.0036347217 0.0037363134 0.0038078038 0.0036986868 0.0043421 0.0037438388 0.0032622193 0.0035858073 0.0035444181 0.0036911615 0.003457877 0.0034014373 0.0041577304 0.004406065 0.003480453 0.0035406554 0.003935734 0.003913158 0.0035105543 0.0040900027 0.0044737933 0.004120104 0.0036347217 0.0038567183 0.0042028823 0.004063664 0.0037024494 0.0041577304 0.0045452835 0.0044361665 0.0041991198 0.004451217 0.004646875 0.004466268 0.0043421 0.0049215485 0.008627761 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035239523 7.191739e-05 2.2710756e-05 5.677689e-06 3.785126e-05 2.460332e-05 5.866945e-05 5.2991763e-05 5.4884327e-05 7.570252e-06 5.677689e-06 1.892563e-06 3.785126e-06 3.785126e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0030810926 0.00019682656 9.273559e-05 5.2991763e-05 0.00013626454 2.2710756e-05 3.217357e-05 1.892563e-05 1.892563e-06 1.892563e-06 3.785126e-06 1.892563e-05 0.0001230166 1.3247941e-05 3.217357e-05 4.7314075e-05 0.0028899438 5.10992e-05 3.0281008e-05 2.460332e-05 4.920664e-05 4.542151e-05 4.542151e-05 5.4884327e-05 3.785126e-05 3.4066135e-05 3.785126e-05 0.00046557048 3.4066135e-05 2.6495882e-05 3.0281008e-05 1.892563e-05 0.0025190013 3.4066135e-05 0.00020818193 2.6495882e-05 4.3528948e-05 6.0562015e-05 0.0005620912 0.00026874396 3.785126e-05 3.785126e-06 1.892563e-06 5.677689e-06 1.3247941e-05 1.892563e-06 1.1355378e-05 7.759508e-05 0.008912079 0.0003785126 0.000736207 0.00030281008 0.00045421513 0.000255496 0.0015140504 0.0010636204 0.0006396863 2.2710756e-05 3.0281008e-05 5.2991763e-05 0.0004561077 0.0001021984 0.00011166122 0.00047124818 0.0066807475 0.00014951247 0.0009292484 0.001355075 0.00052991766 0.0004087936 0.002632555 0.0015575794 0.00033119853 8.895046e-05 8.895046e-05 6.623971e-05 0.00018357861 9.841328e-05 0.00010787609 0.00029523982 0.0074169543 0.00020250423 0.0004561077 0.0003974382 0.0015424389 0.00088193436 0.004074688 0.0021121004 0.00057344657 9.6520715e-05 0.00010598353 0.0006605045 0.000285777 0.00015140504 0.00013058685 0.0002914547 0.0037643078 0.00028199187 0.0004087936 0.0031284066 0.00035012414 0.00035012414 0.0005772317 0.00036715722 0.00026874396 0.00034066133 0.0002611737 0.0003179506 0.0003009175 0.00032173572 0.00027820675 0.00031038033 0.001472414 0.00016465299 0.00012869429 9.841328e-05 0.00019682656 0.0002346778 3.785126e-05 0.00017222323 0.0003122729 3.0281008e-05 4.1636387e-05 6.245458e-05 0.00043150436 5.10992e-05 0.000109768655 0.00033119853 0.010952262 0.0022937863 0.0023543483 0.0012339511 0.0037529524 0.0029050843 0.0021934805 0.0019304142 0.0052196886 0.00032930597 0.0005923722 0.0011147195 0.0031284066 0.0009803476 0.0010749758 0.0025795633 0.0061337966 0.0013020834 0.0015481166 0.0008762567 0.0024584392 0.0018660671 0.0013399346 0.0011544634 0.0035977622 0.00021575218 0.00048260356 0.0008213723 0.0022824309 0.0004958515 0.0007116037 0.0018452489 0.0519641 0.049853895 0.04839662 0.052953914 0.048500713 0.050601456 0.050480332 0.05809979 0.050205912 0.05166697 0.05083992 0.054520953 0.05217607 0.054681823 0.05767775 0.06621699 1372.0 8.023324 11008.0 0.02707122 0.0058139535 0.0049963663 0.0059956396 0.009084302 0.0053597386 0.0056322673 0.004451308 0.005450581 0.004087936 0.0057231104 0.00690407 0.0064498545 0.008811773 0.011809593 0.0055414243 0.011627907 0.010265262 0.0084484015 0.0110828485 0.0068132267 0.0098110465 0.010265262 0.008811773 0.010810319 0.00990189 0.009265988 0.008993459 0.008266715 0.007721657 0.007267442 0.009447674 0.008902616 0.011900436 0.0068132267 0.011173692 0.011900436 0.008902616 0.00990189 0.009084302 0.0055414243 0.0066315406 0.0061773257 0.0059956396 0.0084484015 0.0073582847 0.0067223837 0.007539971 0.010174419 0.0068132267 0.00962936 0.012899709 0.0074491277 0.006994913 0.007267442 0.009992733 0.0051780525 0.0057231104 0.0037245639 0.0059047965 0.009447674 0.0064498545 0.007539971 0.007903343 0.0058139535 0.021893168 0.008993459 0.012990552 0.014625727 0.04596657 0.010537791 0.011173692 0.010174419 0.026071947 0.0064498545 0.007176599 0.023255814 0.012172965 0.028797239 0.028070495 0.014716569 0.0053597386 0.029069768 0.019167878 0.033793606 0.015988372 0.008266715 0.011264535 0.010356105 0.00990189 0.0050872094 0.00690407 0.0065406975 0.007630814 0.0052688955 0.0084484015 6.3479166 0.0 0.0 0.0 5.0 265770.0 57344.0 0.0 0.0 112.0 1.0 1.0 0.0 0.0 0.0 920204700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 20.0 4.0 0.0 4.0 0.0 20480.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -3072.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 -3072.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.763422 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.7797463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3193173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2372975 -5.1568666 3.781554 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1177.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20098.0 -3062.0 3736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 45056.0 3736.0 49152.0 0.0 0.0 0.0 0.0 2068.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 476.0 45692.0 0.0 0.0 0.0 0.0