Input: 0.13650791 0.009252776 0.00497139 0.003468529 0.008561091 0.0029451363 0.0027128912 0.001970717 0.012800404 0.0013917873 0.001294177 0.0009272972 0.006630764 0.0022635476 0.00086671155 0.003889263 0.0057691014 0.0015971054 0.0005654662 0.00084819924 0.0031992595 0.0032194548 0.00067317404 0.0005587344 0.00225345 0.0013009087 0.00052002695 0.0006176372 0.0016072029 0.0006378324 0.00047290474 0.0006782228 0.0053029284 0.00059407606 0.0012335913 0.00048805116 0.0028593065 0.0014658364 0.00040558734 0.00045439246 0.002223157 0.0012234937 0.0005520027 0.0010652979 0.0013194211 0.0007101986 0.0015112757 0.0005772467 0.006147762 0.002359475 0.0024234264 0.0049899025 0.0027953552 0.0022147426 0.0021592057 0.0020262538 0.003079771 0.002046449 0.0032766745 0.0029316728 0.0029855268 0.0022096937 0.002017839 0.003552676 0.008014137 0.003212723 0.0026556714 0.0024537193 0.0030764053 0.045129586 0.0013025918 0.0011881521 0.0019774486 0.002021205 0.0019320095 0.0007236621 0.0015062268 0.020215416 0.0017048132 0.00094749243 0.010764052 0.006795692 0.00528105 0.0029367215 0.0026926962 0.011585325 0.0026624033 0.0040238975 0.0017250084 0.0017014473 0.0012117132 0.0007909795 0.0012268596 0.0040070685 0.0012571525 0.002492427 0.0011040054 0.0058381017 0.0012992258 0.004123191 0.00728206 0.010494783 0.0020514978 0.0016122517 0.013786604 0.0072164256 0.0061309324 0.0008448334 0.004540559 0.0025967688 0.0057320767 0.00536688 0.004737462 0.00089195557 0.006346348 0.0053264895 0.010752272 0.0061544934 0.0019252776 0.0012066644 0.0024402558 0.0014271289 0.0006327836 0.0004274655 0.0013261528 0.001866375 0.00060249073 0.000570515 0.0019303265 0.0011746887 0.0009424436 0.012346012 0.00178896 0.0076809153 0.0008953214 0.00039548974 0.0018865701 0.01504039 0.0012268596 0.046613935 0.0011629082 0.015247392 0.0004611242 0.00032817232 0.0011999327 0.00043588018 0.00039044092 0.0011342982 0.001166274 0.0031454056 0.00049646583 0.0003752945 0.0013884214 0.00054022216 0.0003651969 0.00030629418 0.0011090542 0.00033826995 0.00043588018 0.00036351397 0.0023493774 0.0025765735 0.00044597778 0.0012285425 0.0014422754 0.00043419725 0.00043083137 0.000388758 0.0014069336 0.00090541906 0.00041400202 0.00036351397 0.00090710196 0.00034331874 0.00033995288 0.00035005048 0.0014389094 0.00037024572 0.00038034332 0.00042914844 0.0011948838 0.00043083137 0.0013968361 0.000543588 0.0029215752 0.000543588 0.00041400202 0.00032985528 0.0013614944 0.0007101986 0.00074722315 0.0004611242 0.004458095 0.0018444968 0.002928307 0.0031470885 0.005966005 0.0014607876 0.0039599463 0.006987546 0.0034954562 0.0013093235 0.0026337933 0.013938068 0.035319757 0.0041265567 0.0007691013 0.0005233928 0.0028374286 0.00070010097 0.0009609559 0.00044429486 0.0018444968 0.00038707507 0.0005233928 0.0004476607 0.0025328172 0.0005116123 0.0004274655 0.00048805116 0.0017906429 0.00036856276 0.00044597778 0.0005520027 0.0027549646 0.0006445641 0.0005099293 0.00036183104 0.0022702795 0.0031066982 0.0004813194 0.00041400202 0.017669136 0.004304948 0.00044597778 0.0034819925 0.007566476 0.0004224167 0.0005132952 0.0005368563 0.005666442 0.0006512959 0.00062100304 0.0006294177 0.0040828004 0.0004897341 0.00069505215 0.00075227197 0.0041804104 0.0011376641 0.0028340626 0.0022500842 0.015043756 0.0033742848 0.005417368 0.068200946 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013881018 6.7465458e-06 2.9516137e-05 3.4576045e-05 5.144241e-05 2.2769593e-05 0.00012987101 4.722582e-05 6.7465458e-06 2.5299546e-06 1.6866364e-06 3.3732729e-06 0.0 8.433182e-07 8.433182e-07 8.433182e-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 0.003749393 7.9271915e-05 9.7824915e-05 4.3852546e-05 0.00025636874 7.7585275e-05 0.00021504615 0.00012396778 9.2765e-06 7.336868e-05 1.34930915e-05 1.2649773e-05 0.00015179729 2.7829501e-05 1.433641e-05 0.00023528578 0.010127408 0.00017372356 0.0007201938 9.2765e-05 0.00075223984 0.00023528578 0.0023950238 0.0010608943 2.5299547e-05 0.00024287564 3.5419365e-05 3.7106e-05 0.00047310154 0.00010541478 8.0115235e-05 0.00071429054 0.027350497 0.00080199563 0.0021411849 0.0017068761 0.010570151 0.0034871208 0.013754521 0.0071538687 0.00020408301 0.0006004426 0.00026901852 0.00020914292 0.0026378995 0.00026480193 0.00019058991 0.0029237843 0.012996377 0.00034323052 0.0026960883 0.0014226779 0.005327241 0.0022508164 0.012889275 0.006211882 0.00020998623 0.00022938255 0.00011806455 0.00013324428 0.0014623138 0.00013661756 0.00025889868 0.0016731434 0.01360441 0.00051105086 0.0028124664 0.0023941805 0.008186934 0.0041837017 0.01540911 0.008668468 0.00023781574 0.00029431807 0.0003010646 0.0002496222 0.0014403876 0.0003331107 0.00031793097 0.0015044797 0.009787551 0.002013844 0.0021749176 0.024025293 0.0030907614 0.0024397196 0.004239361 0.0028824618 0.0033555632 0.0019227655 0.0016959129 0.0017507286 0.0024304432 0.0018510835 0.0021428715 0.005008467 0.022273721 0.003132084 0.0021310651 0.0031101576 0.0126818195 0.00970828 0.0048777526 0.0033926691 0.025672294 0.0023326182 0.0018080743 0.0020635996 0.018562278 0.00222889 0.009775745 0.03168937 0.07808958 0.012395091 0.0052083335 0.00930939 0.046522494 0.030785332 0.017562944 0.011475031 0.06840154 0.005175444 0.007016408 0.0065871584 0.054412577 0.0077399747 0.027275441 0.062820464 0.019743767 0.004661863 0.0035318166 0.004603674 0.010097892 0.0076522697 0.008027546 0.0051560476 0.010694118 0.0019134891 0.0026598256 0.0022162404 0.011110717 0.0022406965 0.005138338 0.009359989 0.0009630694 0.00034913374 0.0003693734 0.00045201858 0.00065947487 0.00035335033 0.00051611074 0.00042165912 0.0004545485 0.00038117982 0.00038117982 0.0003516637 0.00031877428 0.00030781116 0.00032973744 0.00029937798 3149.0 23.605589 74334.0 0.024820406 0.0009686012 0.0008071677 0.0006322813 0.008340732 0.0014663546 0.00083407323 0.0007129981 0.007116528 0.0059192292 0.0007264509 0.00059192296 0.0017219577 0.0026502004 0.006605322 0.002219711 0.011932628 0.008488713 0.008340732 0.005757796 0.006470794 0.0060403044 0.006605322 0.006484247 0.007439395 0.005623268 0.014192698 0.0058654184 0.0061075687 0.006147927 0.0056770793 0.018376516 0.046640836 0.017165765 0.0038071407 0.013775662 0.013735303 0.012860871 0.0030268787 0.005502193 0.0031748593 0.011286894 0.0015605241 0.0028519924 0.004439422 0.009887803 0.0074259425 0.0034977265 0.010506632 0.0044259694 0.005623268 0.012685985 0.0045201387 0.0051255147 0.010466274 0.0059192292 0.006080663 0.00091479 0.0064438884 0.0005381118 0.0021389942 0.00051120616 0.00052465894 0.0126321735 0.001237657 0.038972743 0.0074797533 0.027995264 0.027806925 0.06844781 0.0071030753 0.0090133725 0.009363145 0.047030967 0.0011569402 0.003147954 0.024147766 0.017596254 0.03563645 0.034614038 0.014798073 0.0007668093 0.037062448 0.034600586 0.05253316 0.019573815 0.009390051 0.0044797803 0.0094304085 0.0063497187 0.0015874297 0.0005381118 0.001372185 0.00041703662 0.00055156456 0.00041703662 5.7730703 6.0 34.0 0.0 4.0 594200.0 602112.0 1.0 274.0 342.0 1.0 1.0 1.0 1.0 0.0 1539867300.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 408064.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 136192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -408576.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.761752 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.522941 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.945124 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.938692 0.0 4.1119065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -28032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 136090.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5820.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -407749.0 0.0 1696.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 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 -1.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 -2.0 0.0 0.0 0.0 2.0 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 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 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 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 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 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 -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 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 1.0 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 -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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 -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 -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 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 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 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 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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 0.0 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 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -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 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 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 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 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 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 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 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 -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 -1.0 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 -1.0 0.0 2.0 0.0 0.0 -1.0 3.0 3.0 0.0 1.0 1.0 0.0 -1.0 3.0 1.0 1.0 1.0 -3.0 2.0 0.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 3.0 3.0 2.0 1.0 1.0 0.0 -3.0 -1.0 -2.0 -3.0 1.0 0.0 4.0 0.0 1.0 0.0 2.0 2.0 0.0 0.0 -1.0 -1.0 -3.0 0.0 1.0 -2.0 -2.0 -1.0 3.0 -1.0 0.0 0.0 2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 1.0 2.0 5.0 -3.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 -3.0 0.0 0.0 0.0 3.0 -2.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 1.0 -1.0 2.0 1.0 3.0 1.0 -1.0 0.0 1.0 -1.0 1.0 2.0 0.0 -1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 18904.0 516640.0 460.0 535544.0 1696.0 569344.0 0.0 0.0 13080.0 581120.0 28032.0 573440.0 84.0 472576.0 0.0 0.0 0.0 0.0 24.0 472660.0 64.0 464240.0 0.0 0.0 1484.0 413696.0 96.0 516132.0 0.0 0.0


Input: 0.17999484 0.015203792 0.014204179 0.008545079 0.009496324 0.0057880823 0.01507481 0.0041435575 0.004643364 0.00415968 0.018912034 0.0034502773 0.003627628 0.0062717656 0.0042725396 0.0021926996 0.002708629 0.008125886 0.004707855 0.0060460465 0.0024022958 0.0024022958 0.0036921191 0.0028376114 0.0014510512 0.0011447181 0.0015961563 0.0023378048 0.0016606475 0.0038855926 0.0021926996 0.0021765768 0.036437508 0.0016767703 0.0024022958 0.0017896298 0.001467174 0.0019186122 0.0017896298 0.0013704372 0.010383078 0.0014026829 0.0032084354 0.002789243 0.0030310848 0.004482136 0.0062233973 0.005175416 0.01357539 0.007513221 0.00415968 0.0031116987 0.0028053657 0.00277312 0.0016928931 0.0031600671 0.0038211015 0.0023378048 0.0037404876 0.001080227 0.001160841 0.0014188057 0.0014026829 0.0010641043 0.0010963498 0.0048207147 0.0012253321 0.0054656263 0.002611892 0.0032729267 0.002708629 0.0024667871 0.00207984 0.0048045916 0.00070940284 0.001305946 0.0015961563 0.003079453 0.0022894363 0.0014994196 0.0024506643 0.0012253321 0.003482523 0.0060460465 0.0037888559 0.0050303107 0.0024506643 0.001854121 0.0009028763 0.0011285954 0.0011769638 0.0014349284 0.0010318586 0.00138656 0.0007255256 0.0032568038 0.00077389396 0.017396491 0.0038211015 0.01536502 0.010366955 0.03627628 0.0062233973 0.0075293435 0.0056752227 0.025022572 0.0014026829 0.0014832967 0.012382303 0.01160841 0.019943893 0.03419644 0.014155811 0.0011124726 0.025893202 0.017299755 0.027924674 0.009351219 0.0044498905 0.0035147686 0.0017090158 0.0055139945 0.0012092093 0.0013220689 0.00083838514 0.0015477879 0.00277312 0.0007255256 0.0038372243 0.001854121 0.0028214885 0.0009028763 0.00080613955 0.0011447181 0.0027247516 0.0005159293 0.00077389396 0.0011769638 0.00070940284 0.00053205213 0.0005804205 0.0009189991 0.0007577712 0.00080613955 0.00069328 0.0009351219 0.0006126661 0.0019186122 0.00077389396 0.0008222624 0.00077389396 0.0008706307 0.00069328 0.00083838514 0.0016767703 0.0008222624 0.00067715725 0.0006610344 0.0006610344 0.00062878884 0.0014349284 0.0010479814 0.0011285954 0.0008867535 0.00064491166 0.0008706307 0.00062878884 0.0007577712 0.00062878884 0.0007577712 0.00049980654 0.0005804205 0.0005481749 0.00043531536 0.00069328 0.00077389396 0.0006610344 0.001241455 0.0005642977 0.00070940284 0.0005642977 0.0005804205 0.00053205213 0.0005642977 0.00067715725 0.0005159293 0.00049980654 0.0006126661 0.0005159293 0.00083838514 0.00048368375 0.00069328 0.0005642977 0.00069328 0.0005804205 0.00067715725 0.00064491166 0.00064491166 0.00041919257 0.0005159293 0.0005642977 0.0008706307 0.00067715725 0.00064491166 0.0008867535 0.00070940284 0.00064491166 0.0006610344 0.00070940284 0.0012092093 0.00062878884 0.00059654325 0.0005642977 0.00064491166 0.0005159293 0.00040306977 0.0005481749 0.0005481749 0.0005481749 0.0016445247 0.00062878884 0.00077389396 0.0007577712 0.00070940284 0.00064491166 0.0009996131 0.0008867535 0.0006126661 0.0007255256 0.0006126661 0.0005159293 0.0007255256 0.0007255256 0.0007900168 0.0010479814 0.00048368375 0.00070940284 0.00067715725 0.0005642977 0.0005804205 0.0008222624 0.0005159293 0.00077389396 0.0005159293 0.0008706307 0.0006126661 0.00041919257 0.0013704372 0.00059654325 0.0008222624 0.0018218755 0.00064491166 0.00049980654 0.0005804205 0.0006610344 0.0009189991 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03313692 0.0010013904 0.0025241657 0.00083587127 0.00989804 0.0066952463 0.050930217 0.03000033 8.2759536e-05 4.1379768e-05 9.103549e-05 9.103549e-05 7.448358e-05 7.448358e-05 4.1379768e-05 7.448358e-05 0.053462658 0.0034924524 0.04021286 0.0061821374 0.008300781 0.006951801 0.08791545 0.04634534 0.00025655454 0.00019862287 0.00016551907 0.0001241393 0.00013241525 0.00016551907 0.00018207097 0.00014896716 0.08571405 0.012596001 0.014780853 0.0053876457 0.0041628047 0.004220736 0.018496756 0.011155985 0.0031200345 0.0029876193 0.0011917372 0.001075874 0.00096001057 0.0009434587 0.0010262182 0.0016717425 0.057848915 0.012215307 0.00854906 0.0059255827 0.0040221135 0.0025489936 0.009310448 0.0064552436 0.0015724312 0.0018041579 0.001241393 0.0008524232 0.00092690677 0.0024000264 0.0015724312 0.0013986361 0.021426443 0.0032358977 0.0035752119 0.0073407707 0.002151748 0.0022427833 0.013589116 0.00638076 0.0025655455 0.0007862156 0.000885527 0.0007862156 0.00080276746 0.0007200079 0.00057931675 0.0007282839 0.003740731 0.0013655323 0.0006289725 0.004435911 0.0002979343 0.0003889698 0.0032358977 0.00084414723 0.0010013904 0.00019034692 0.00020689884 0.00013241525 0.00014896716 0.0001406912 0.000115863346 7.448358e-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 0.02574649 0.008805614 0.008780787 0.014474642 0.006844213 0.008193194 0.017602952 0.011172537 0.0066704187 0.0041214246 0.0041545285 0.0036331436 0.003881422 0.0033103814 0.003724179 0.004477291 0.017429158 0.006538003 0.006926973 0.00971597 0.0053710938 0.0058179954 0.0115284035 0.0082345735 0.005114539 0.003707627 0.004071769 0.0033103814 0.0032193458 0.0032690016 0.0037821108 0.0036579715 715.0 31.51888 22536.0 0.08998935 0.0005768548 0.0033280086 0.00079872203 0.0009762158 0.00035498757 0.00079872203 0.0010649627 0.0014199503 0.0014199503 0.00035498757 0.00062122825 0.0026624068 0.006656017 0.012513312 0.009984026 0.018459354 0.013400781 0.0076322327 0.0051473198 0.0050141993 0.004792332 0.0032392617 0.0034167555 0.0048810793 0.0039936104 0.0065228967 0.00026624068 0.0012868299 0.0012424565 0.0015086972 0.00031061412 0.00039936102 0.008297835 0.0011537096 0.010383386 0.0040379837 0.004481718 0.0034167555 0.002973021 0.0011093362 0.007942847 0.00044373446 0.0006656017 0.001686191 0.005058573 0.0026180334 0.0017305644 0.0036386226 0.0004881079 0.006656017 0.009939652 0.0068778843 0.0035498757 0.0012424565 0.002396166 0.00031061412 0.0004881079 0.0011093362 0.0010205893 0.0008430955 0.0011537096 0.00017749378 0.006345403 0.00053248135 0.037806176 0.007543486 0.035232518 0.022097977 0.083466455 0.01455449 0.01557508 0.012069577 0.056443024 0.0019080582 0.002174299 0.026712814 0.024494143 0.04299787 0.063897766 0.023872914 0.0007543486 0.05236067 0.040069222 0.06589457 0.019258076 0.008475329 0.005946042 0.0022186723 0.010915868 0.0008874689 0.0015974441 0.00093184237 0.001686191 0.00013312034 0.00022186723 5.2435174 2.0 26.0 0.0 2.0 62024.0 73728.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1537825300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 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 -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 6.0 0.0 42496.0 512.0 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 -42496.0 0.0 2560.0 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 -5.7640977 0.0 4.698866 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 -42376.0 0.0 2260.0 0.0 0.0 0.0 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 79.0 50336.0 2260.0 57344.0 0.0 0.0 15944.0 46080.0 12.0 65536.0 28.0 50024.0 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: 0.09222706 0.0068377345 0.007938209 0.006371768 0.005756326 0.0035820699 0.0032594777 0.003423443 0.0067492696 0.0024610048 0.003339554 0.0021597662 0.0052118087 0.0027561425 0.002273398 0.0048564235 0.00806328 0.002596753 0.0024617675 0.002110958 0.0041418397 0.0043302095 0.0023176305 0.001728118 0.0032266846 0.0026379349 0.0029338351 0.0020743518 0.0033692964 0.0028316427 0.0028293547 0.003460812 0.0064533693 0.0022047614 0.0025631972 0.003178639 0.00451019 0.0031420328 0.0024678686 0.0024846464 0.0029040924 0.0029262088 0.0031565228 0.0032007552 0.0031641491 0.00246253 0.0025189647 0.0021719683 0.0032327857 0.0033479428 0.0031229672 0.004655089 0.003678924 0.003835263 0.0026859804 0.0025113383 0.0034585241 0.003394463 0.0038291619 0.0037147675 0.0037056159 0.004016006 0.0038733943 0.004306568 0.0058074226 0.0038566166 0.0027157231 0.004431639 0.0033830237 0.009084441 0.003925253 0.0036545198 0.0038589044 0.003820773 0.0031733008 0.0024594795 0.002841557 0.0053589963 0.0028102892 0.00371553 0.0064182887 0.0040022787 0.00371553 0.0051759654 0.0039222026 0.0053056125 0.0052827336 0.005005899 0.0037254442 0.003961097 0.0028423194 0.0028712994 0.002635647 0.0045216293 0.0033601448 0.004372154 0.002055286 0.0034547108 0.0027164856 0.0040602386 0.0038985612 0.0056121894 0.003814672 0.0027546172 0.0043752044 0.0048190546 0.005178253 0.0025937024 0.0030611942 0.0030756842 0.0038070455 0.0042364057 0.0031031386 0.0025288789 0.0044201994 0.0037101917 0.00786042 0.0075286767 0.002499899 0.0023481357 0.0033029476 0.0027462281 0.0031534722 0.002306191 0.00266844 0.0038070455 0.0030177243 0.003777303 0.0033914126 0.00244804 0.0023069538 0.0068506994 0.0026676774 0.0052560414 0.0035065697 0.0023466104 0.0026158185 0.007040594 0.0033860742 0.013161457 0.002629546 0.0065387837 0.003691126 0.0031618613 0.0034295442 0.0030009465 0.0033647206 0.0023984693 0.002411434 0.003026876 0.0028613852 0.002345848 0.0023016154 0.0024419392 0.002989507 0.0021117206 0.0018402246 0.0024465148 0.003098563 0.0033959884 0.0026592885 0.0032915082 0.0028019003 0.0030154365 0.0031496591 0.0031366944 0.0031161034 0.0034348825 0.0033921753 0.003267104 0.0034242058 0.0030863609 0.0025555708 0.0027286878 0.0023649135 0.003116866 0.002175019 0.0024434645 0.00249151 0.0024038076 0.0029643402 0.0029773049 0.0025868388 0.002894941 0.0031328814 0.002133837 0.0025136264 0.0020972306 0.0023046657 0.0025441314 0.0024472775 0.0027957992 0.0046283975 0.0027698698 0.0028873147 0.0035439385 0.0038131466 0.0023801662 0.0033799731 0.004419437 0.003252614 0.0032793062 0.0023877923 0.00283088 0.0043446994 0.0022985649 0.002110958 0.003180927 0.0026730157 0.0026135307 0.0033532812 0.003423443 0.0037246817 0.0032701546 0.00254947 0.0025708235 0.0033052354 0.0067576584 0.0027256373 0.0033731095 0.0026692026 0.0023275446 0.0026020913 0.002055286 0.002629546 0.0023961815 0.0023100043 0.0028682488 0.002862148 0.0027294504 0.0019553816 0.0025159142 0.008087684 0.004385119 0.00336167 0.0041410774 0.004310381 0.0028918905 0.0022856002 0.0014482331 0.003168725 0.0029452746 0.0030756842 0.0027149604 0.0040693902 0.0031816897 0.0038085708 0.0021330742 0.004118961 0.0034295442 0.00319923 0.0032518515 0.005367385 0.0037704394 0.004867863 0.022799566 0.020328382 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014270487 8.398895e-06 1.6034255e-05 9.925968e-06 2.2906079e-06 5.535636e-05 1.8324863e-05 5.7265197e-06 1.90884e-06 8.780664e-06 1.1453039e-06 1.90884e-06 2.2906079e-06 2.6723758e-06 3.81768e-07 1.527072e-06 0.0012491448 0.0 0.00066847575 1.9088398e-05 4.1994476e-06 0.0003481724 3.5122655e-05 2.0615471e-05 0.0 0.0 0.0 0.0 0.0 3.81768e-07 0.0 3.81768e-07 0.0012220393 1.1453039e-05 2.6341992e-05 1.2216576e-05 2.3287846e-05 0.00023096963 1.4125415e-05 3.054144e-06 3.81768e-07 4.1994476e-06 3.81768e-07 1.1453039e-06 0.0 5.7265197e-06 2.2906079e-06 6.108288e-06 0.006746222 0.00013132818 0.00021913482 7.062708e-05 0.00025349393 0.0003149586 0.00013705471 4.8102767e-05 5.879227e-05 9.696907e-05 2.7487295e-05 6.184641e-05 2.3287846e-05 0.00014163592 6.948177e-05 0.00020004643 0.0050091776 0.00043025252 0.00016377846 5.3829284e-05 0.0001061315 0.00012598344 7.559006e-05 0.00012102045 8.70431e-05 0.0001049862 3.741326e-05 3.359558e-05 4.3903317e-05 3.8940336e-05 4.733923e-05 0.00055776304 0.009030722 0.00033481052 0.00042032654 0.00044208733 0.0010273376 0.00053027575 0.0011380503 0.00057417905 0.00023096963 0.0002470039 3.970387e-05 9.0479014e-05 8.666133e-05 5.2683983e-05 6.299172e-05 0.0005470735 0.009014306 0.00021531714 0.0007681172 0.00052149507 0.0008322542 0.00056578015 0.0027701084 0.0014866046 0.00020119172 0.00015767018 6.031934e-05 6.031934e-05 4.4666853e-05 4.8866303e-05 4.2376247e-05 0.0004115459 0.0042990893 0.0001515619 0.001125452 0.0003455 0.001405288 0.0010021409 0.0038459306 0.0020096267 6.833647e-05 0.00018553923 3.3213815e-05 4.6957462e-05 5.9937574e-05 3.1304975e-05 0.000105367966 0.00014010885 0.004053994 0.00021493537 0.0008658498 0.0005031702 0.0024753837 0.0015133283 0.004789661 0.0026441251 7.406299e-05 0.00031648565 6.986354e-05 7.788067e-05 8.9715475e-05 7.597183e-05 7.368122e-05 0.00014469007 0.0046606236 0.0006566409 0.0014453736 0.0073593413 0.0016671808 0.0012021874 0.0022104366 0.0014167409 0.0008479067 0.0007570459 0.000519968 0.0005081332 0.0006486238 0.0006543503 0.0005986122 0.000648242 0.0034133876 0.00044323262 0.0004982072 0.00066084036 0.000839126 0.00081660174 0.00060777465 0.00053027575 0.0015228725 0.00016492377 0.00013629117 0.00018744808 0.0009830525 0.00025654808 0.00054020167 0.0009089896 0.0260068 0.0055883196 0.0031583665 0.004148673 0.0071944175 0.008699729 0.0028720405 0.005653984 0.015673866 0.0014461371 0.0013090824 0.0021928754 0.0066378 0.0043991124 0.0061182138 0.013052265 0.028571516 0.008655826 0.0041043875 0.006075074 0.010449371 0.011225888 0.0050935484 0.00825535 0.017691892 0.0017149018 0.0028701317 0.0032255577 0.008510372 0.007019186 0.007427678 0.016881017 0.033983458 0.03428658 0.036025155 0.03716244 0.038635682 0.040512074 0.03591024 0.036030497 0.034574434 0.03825926 0.04342687 0.034421347 0.03439348 0.03728117 0.03609769 0.042431984 7399.0 10.42722 77151.0 0.05113349 0.003745901 0.005106868 0.0041865953 0.007828803 0.008593537 0.003447784 0.0033181682 0.0059752953 0.005664217 0.004821713 0.0042514033 0.00601418 0.006403028 0.007854726 0.0050161374 0.011613589 0.010161891 0.009656388 0.00795842 0.008463921 0.010174852 0.0077510336 0.006558567 0.0078806495 0.008476883 0.011769128 0.0065067206 0.009423079 0.009189771 0.008100997 0.010576662 0.01495768 0.012741248 0.007452917 0.013091211 0.010200775 0.015320605 0.008904615 0.010187813 0.0075306864 0.01259867 0.0037588624 0.0051975995 0.00804915 0.0116654355 0.0074399556 0.009500849 0.011872821 0.0057808715 0.0115228575 0.0139337145 0.011146972 0.008554652 0.0080880355 0.00780288 0.0069603766 0.005586447 0.005210561 0.0045235967 0.0041477103 0.0057938327 0.004381019 0.010667392 0.0032144755 0.024328914 0.008256536 0.018262887 0.018470272 0.043667614 0.011198818 0.010174852 0.011082164 0.026623115 0.005651255 0.00511983 0.018509157 0.013596713 0.024121528 0.026830502 0.012676439 0.0035255537 0.03088748 0.024367798 0.036525775 0.012222784 0.0060271416 0.0065456056 0.007077031 0.0066363364 0.004756905 0.0032274371 0.0030459748 0.0035514769 0.0034996306 0.004121787 6.251363 1.0 32.0 0.0 18.0 1311253.0 28672.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1301832400.0 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 2.0 50.0 4.0 0.0 4.0 0.0 8704.0 1024.0 4096.0 5.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 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 1.769546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.322406 0.0 0.0 0.0 0.0 -4.516155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.191553 0.0 5.0674453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1841.0 0.0 0.0 0.0 0.0 -1960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6552.0 0.0 700.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.1497986 0.010667493 0.0071042846 0.0060198302 0.008559446 0.0024068253 0.0029047893 0.0011508499 0.001460694 0.00076907757 0.0028771246 0.00080227514 0.00058095786 0.000973796 0.0007967422 0.00056435907 0.0009959277 0.0012061791 0.0007912093 0.00061415543 0.000652886 0.00059755665 0.00061968836 0.00054222735 0.0005754249 0.00051456265 0.0005311615 0.00080227514 0.00070268236 0.0007746105 0.000486898 0.00071928115 0.0018148017 0.00066395185 0.001222778 0.00051456265 0.00044263457 0.0004315687 0.0005366944 0.00055882614 0.0009682631 0.0006252213 0.00076354464 0.0006030896 0.00076354464 0.00068055064 0.0014717599 0.00073587993 0.0008631374 0.0006086225 0.000569892 0.0005311615 0.0005754249 0.00043710164 0.00035410764 0.00052562857 0.00052009564 0.00042603575 0.0006307542 0.00064182014 0.0006362872 0.0007746105 0.000652886 0.00061968836 0.00074694585 0.0011121193 0.000813341 0.0010789217 0.0009571972 0.000979329 0.0008631374 0.0007082153 0.0005311615 0.0009184667 0.0005311615 0.00051456265 0.00052009564 0.00048136507 0.00076907757 0.00071928115 0.0008354727 0.000569892 0.00074141286 0.00094613136 0.0006916165 0.0005477603 0.000486898 0.00070268236 0.00045370043 0.0004315687 0.00043710164 0.0003983711 0.0005366944 0.00043710164 0.0005034968 0.0011121193 0.00049243093 0.0018535323 0.0011508499 0.0011287181 0.0008631374 0.0036793998 0.0005864908 0.00074694585 0.0007801434 0.0017484066 0.000486898 0.0006030896 0.001466227 0.0012393767 0.0017705383 0.002932454 0.0012725744 0.0006362872 0.0025064182 0.0024012926 0.0025783463 0.0011840474 0.000569892 0.000652886 0.0007082153 0.00094613136 0.0005090297 0.0015160234 0.00048136507 0.00049243093 0.0003651735 0.00033197593 0.0009129338 0.0008742033 0.0006086225 0.00034857471 0.00052009564 0.00038177232 0.0003983711 0.00037070643 0.0006252213 0.000813341 0.0008465386 0.00055882614 0.000486898 0.0005366944 0.0005920237 0.00052562857 0.0005754249 0.00048136507 0.0004315687 0.00040390404 0.00042603575 0.00034857471 0.00044263457 0.00030984418 0.00023791607 0.00035964057 0.00042050282 0.00051456265 0.00039283818 0.0004481675 0.00047583214 0.0006694848 0.0005090297 0.00064735307 0.0006086225 0.0003983711 0.000569892 0.00033750886 0.0003651735 0.0003430418 0.00056435907 0.00042050282 0.0002766466 0.00030984418 0.0004481675 0.00047029922 0.00056435907 0.0006030896 0.00038730525 0.00064182014 0.00038730525 0.00044263457 0.00037070643 0.00047029922 0.00034857471 0.0003153771 0.0006694848 0.00061968836 0.000569892 0.0005311615 0.00055882614 0.0005864908 0.0006030896 0.0004647663 0.0007580117 0.00040390404 0.00055882614 0.00064735307 0.0006584189 0.0005477603 0.00038177232 0.0007746105 0.00040943697 0.00052562857 0.00042603575 0.00044263457 0.00028771246 0.00043710164 0.00035964057 0.00045923336 0.00047029922 0.0009848619 0.00045370043 0.00035964057 0.00047583214 0.0004481675 0.0004315687 0.0004647663 0.0007248141 0.00059755665 0.0003983711 0.0004149699 0.0005311615 0.00052562857 0.0006694848 0.0005366944 0.00064182014 0.0006916165 0.00074694585 0.00085760443 0.0006584189 0.0004149699 0.00078567636 0.00049243093 0.0008797362 0.0009903949 0.0017539394 0.0026890049 0.01305772 0.047865395 0.073588 0.013218175 0.01062323 0.011043732 0.0113646425 0.008083614 0.0066616503 0.007995087 0.014280497 0.013732737 0.008343661 0.0064679976 0.008653506 0.0139761865 0.013942989 0.012847468 0.014330294 0.3385269 0.011428571 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052371654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013950893 0.0003376116 0.0052539064 2.7901785e-06 4.4642857e-05 5.301339e-05 1.953125e-05 4.4642857e-05 0.00016462053 0.000103236605 0.0 5.580357e-06 0.0 1.1160714e-05 5.580357e-06 2.7901785e-06 2.7901785e-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 0.007717634 0.00012555804 0.0002511161 3.348214e-05 0.00016741072 0.0001422991 4.185268e-05 7.533482e-05 7.533482e-05 7.533482e-05 7.533482e-05 1.674107e-05 3.348214e-05 0.00019252232 0.0105273435 0.054734934 0.050097656 0.0007784598 0.001188616 0.0007114955 0.0009960937 0.0003515625 0.00036830356 0.00060267857 0.00055245537 0.00047712054 0.0003934152 0.0006445313 0.0005440848 0.0006110491 0.08990792 0.2689174 0.053766742 0.0004436384 0.00094587053 0.00087053573 0.00065290177 0.00067801337 0.00051060267 0.0005440848 0.00060267857 0.00030133929 0.0006947545 0.0006947545 0.0008537946 0.0014397322 0.043222655 0.14520647 0.024321986 0.00059151783 0.001015625 0.00051339285 0.0013811383 0.00084821426 0.003733259 0.0030747768 0.0003515625 0.00013392857 0.00028180802 0.0001311384 0.00048270088 0.0007924107 0.009941407 0.026690848 0.007265625 0.0006696429 0.00041294642 0.00016183035 0.0004547991 0.0003376116 0.00065569195 0.001015625 4.185268e-05 5.859375e-05 8.0915175e-05 7.2544644e-05 5.580357e-05 4.185268e-05 3.90625e-05 6.4174106e-05 0.007078683 0.00055245537 0.00067243306 0.00027901787 0.0007589286 0.0006640625 0.0037779019 0.002265625 0.00024553572 0.00023158483 0.00012555804 0.00014787946 9.765625e-05 0.000103236605 7.2544644e-05 6.975447e-05 0.004252232 0.00022600447 0.0002873884 0.00018973215 0.0006445313 0.0004157366 0.0027092635 0.0014983258 0.0002845982 0.00027901787 9.4866075e-05 0.00015345983 9.4866075e-05 7.533482e-05 9.765625e-05 0.00012555804 0.0021233258 0.00028180802 0.00039899553 0.00032087055 0.0002985491 0.0002092634 0.001171875 0.0006473214 0.00013392857 1.674107e-05 2.2321428e-05 1.674107e-05 1.3950893e-05 1.1160714e-05 1.1160714e-05 3.6272322e-05 0.0028236606 0.00040736608 0.0005440848 0.00041015624 0.0005273438 0.00029296876 0.0011160715 0.0007393973 0.00021205356 0.00018694196 0.00018136161 0.0002092634 0.00022321429 0.000234375 0.001063058 0.0022572544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028236606 0.00058314734 0.0007310268 0.0006194196 0.00060546875 0.00055803574 0.0012946428 0.0010044643 0.000546875 0.0002483259 0.00027622769 0.00042131697 0.00043247768 0.0003655134 0.00041015624 0.0005078125 0.00906529 0.0064202007 0.0059095984 0.005075335 0.0056696427 0.005301339 0.0052901786 0.005136719 0.006417411 0.004958147 0.005265067 0.0054771206 0.005292969 0.0046875 0.005248326 0.006213728 282.0 16.421986 4631.0 0.020297991 0.00021593609 0.0060462104 0.0015115526 0.00021593609 0.0 0.00043187218 0.00086374435 0.0012956165 0.0 0.00043187218 0.0 0.0038868494 0.0032390412 0.022241417 0.0017274887 0.007989635 0.007773699 0.002375297 0.0038868494 0.0032390412 0.0019434247 0.0017274887 0.0017274887 0.0019434247 0.0015115526 0.0032390412 0.0012956165 0.0034549774 0.005614338 0.0034549774 0.0012956165 0.00064780825 0.00993306 0.009501188 0.015547398 0.008637443 0.0064780824 0.007341827 0.004750594 0.00064780825 0.010148996 0.0 0.0010796804 0.0034549774 0.0032390412 0.0062621464 0.00496653 0.005398402 0.0010796804 0.008421508 0.015331462 0.011228676 0.002375297 0.0030231052 0.0021593608 0.0017274887 0.0 0.00086374435 0.00043187218 0.0041027856 0.0 0.00086374435 0.015763335 0.00064780825 0.040595982 0.01986612 0.025048586 0.017922696 0.10947959 0.0062621464 0.017490823 0.009285252 0.04297128 0.0010796804 0.005398402 0.034333836 0.025048586 0.044698767 0.055063702 0.012740229 0.0012956165 0.058734614 0.053336214 0.072986394 0.02807169 0.00496653 0.005398402 0.005182466 0.016195206 0.0021593608 0.0 0.0021593608 0.00043187218 0.00086374435 0.0 5.3045473 1.0 0.0 0.0 1.0 180736.0 204800.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541357800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 168960.0 512.0 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 -168960.0 0.0 10752.0 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 -4.2778783 0.0 7.6554923 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 -168820.0 0.0 10668.0 0.0 0.0 0.0 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 79.0 176924.0 10668.0 180224.0 0.0 0.0 0.0 0.0 12.0 196608.0 28.0 176612.0 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: 0.00898387 0.0038726234 0.0038372865 0.0039005266 0.0038523693 0.003826082 0.0038737007 0.0038275903 0.00386993 0.0038462284 0.003806259 0.0038178943 0.0038607726 0.0038488142 0.0038014108 0.0044788453 0.0038531234 0.0038318997 0.0040321783 0.003815093 0.003855709 0.0039007422 0.0038183252 0.003808629 0.0038274827 0.003826513 0.003840303 0.003866698 0.003840303 0.003823281 0.0038218806 0.0038566787 0.0038584024 0.0038121843 0.0038574329 0.003844289 0.0038582948 0.0038536622 0.003868745 0.0038217728 0.0038311456 0.0038043198 0.003817248 0.0038073363 0.0038303914 0.0038318997 0.0038540931 0.0038448279 0.0038550626 0.0038215572 0.00383427 0.003856894 0.0038004413 0.003834701 0.003862604 0.0038315766 0.0038649742 0.00383427 0.0038480598 0.0038893223 0.0038164938 0.0038461208 0.003841165 0.0038352394 0.003932093 0.0038351319 0.003846875 0.003843966 0.0038303914 0.0039302614 0.0038607726 0.0038836123 0.0038006566 0.0038125075 0.0038290985 0.0038144467 0.003852477 0.0038689603 0.003822527 0.003827375 0.0039059133 0.0038213418 0.0038389026 0.003845151 0.0038428886 0.0038506456 0.0038475213 0.0038713305 0.0038436428 0.0038312534 0.0038222037 0.0038425655 0.0038108914 0.0038223113 0.0038123997 0.003849245 0.005182567 0.0038725156 0.0038456898 0.0038384716 0.0038528002 0.003919811 0.0038410572 0.003826082 0.003862173 0.0038724078 0.0038226347 0.0038089524 0.0038708996 0.0038352394 0.0038651896 0.0038728388 0.0038186484 0.003845582 0.0038759632 0.0038522615 0.003934786 0.0038542007 0.003839872 0.0038489217 0.003833408 0.0038380406 0.0038259744 0.003884905 0.0038396567 0.0038474135 0.003861419 0.0038473057 0.0038698222 0.003827698 0.0038475213 0.0038254356 0.0038544163 0.0038383638 0.0038453666 0.003833408 0.0038635738 0.0038475213 0.0038677754 0.0038985873 0.0038507532 0.0038381484 0.0038307146 0.0038153087 0.0038245737 0.0038167092 0.0038215572 0.003781049 0.0038506456 0.0038608804 0.0038584024 0.0038087368 0.0038523693 0.003857002 0.0038016264 0.0038044276 0.004063421 0.0038245737 0.0038222037 0.0038116456 0.0038330848 0.0038369633 0.003818433 0.0038152009 0.0038592643 0.0038313612 0.0038226347 0.0038280212 0.003844289 0.0037965628 0.0037899911 0.0038599106 0.003857325 0.0038067976 0.0038459052 0.0038496759 0.0051654372 0.0038300683 0.003826082 0.0038304992 0.0038340543 0.0038171401 0.0038313612 0.0038556014 0.0038333002 0.0038156318 0.0038083058 0.0038510766 0.0037923611 0.0038663747 0.0037954855 0.0038156318 0.0038608804 0.003852154 0.003835455 0.0038189716 0.004466456 0.0038072285 0.0038631428 0.0038779024 0.0038052893 0.0038737007 0.0038233888 0.0038051817 0.0038454742 0.0038142314 0.0038233888 0.0038316844 0.0038030269 0.0038480598 0.0038148777 0.0038441815 0.0038233888 0.0038253278 0.0038549548 0.003817248 0.003839118 0.0038280212 0.0038473057 0.0038575407 0.003829422 0.0038138004 0.0038186484 0.0038254356 0.003841165 0.0038414882 0.0038363168 0.0037953777 0.0038231732 0.003800118 0.0038474135 0.003826082 0.0038836123 0.0038157396 0.003805074 0.0038624962 0.0045432705 0.0038357782 0.0038436428 0.0038359936 0.0045833476 0.0051761027 0.0038663747 0.004072902 0.0038286678 0.0038067976 0.0038376097 0.0037764164 0.0038712227 0.0038213418 0.0038140158 0.0051749176 0.003868314 0.0038412726 0.0038401952 0.0071319146 0.0019830263 8.0814505e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.2391557e-06 0.0 1.6162902e-07 8.620214e-07 0.00010667515 9.697741e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.158978e-07 0.0 0.0 0.0 0.0 0.0 1.7779191e-06 0.00010074875 2.4783114e-06 0.0 2.693817e-07 0.0 0.0 0.0 2.693817e-07 2.693817e-07 0.0 0.0 0.0 2.693817e-07 0.0 2.693817e-07 5.764768e-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 0.00018393382 4.2023544e-06 1.1314031e-06 9.482235e-06 9.158978e-07 7.003924e-07 5.387634e-07 4.310107e-07 5.387634e-07 2.1011772e-06 5.926397e-07 2.2089298e-06 1.5624138e-06 3.7713437e-07 3.82522e-06 8.135327e-06 7.822844e-05 8.135327e-06 0.0 0.0 5.3876338e-08 0.0 0.0 0.0 0.0 8.027574e-06 0.0 0.0 0.0 0.0 0.0 1.589352e-05 0.0012596827 9.261342e-05 2.9631985e-06 2.5860643e-06 6.357408e-06 8.296956e-06 4.310107e-06 4.0407253e-06 4.6333653e-06 8.830332e-05 1.0236504e-05 9.751617e-06 0.0003902263 6.7884184e-06 0.0005325676 0.0025418857 0.0005847199 7.623502e-05 2.6237776e-05 6.357408e-06 9.428359e-06 8.997348e-06 4.9081344e-05 2.7584685e-05 5.2260048e-06 7.515749e-05 1.5570262e-05 7.003924e-06 0.00012321518 1.04520095e-05 0.0001518774 0.0008089532 0.0005074612 4.6225898e-05 2.8608336e-05 8.458585e-06 2.9308729e-05 2.9362604e-05 8.722579e-05 4.9189097e-05 2.7476933e-06 4.606427e-05 2.6130025e-05 9.967122e-06 9.713904e-05 1.6647788e-05 7.1278395e-05 0.00048892776 0.00017579849 4.6225898e-05 5.549263e-06 3.6097147e-06 2.0796266e-05 1.5031498e-05 5.6731784e-05 2.898547e-05 1.2930321e-06 3.7605685e-05 1.7563687e-05 7.812069e-06 3.5342877e-05 1.1367907e-05 2.7907943e-05 0.00017041086 0.00011615738 2.61839e-05 1.1745042e-05 4.8003818e-05 1.573189e-05 1.309195e-05 6.804582e-05 3.7013044e-05 4.2023544e-06 1.8856717e-05 5.387634e-06 9.374483e-06 5.9802737e-06 2.693817e-06 1.5408632e-05 4.3478205e-05 0.00027186002 1.9018347e-05 3.0978896e-05 0.00010802206 3.254131e-05 2.4298228e-05 6.659115e-05 4.676466e-05 2.1712163e-05 1.4007848e-05 3.076339e-05 1.427723e-05 1.8317955e-05 1.2176052e-05 2.1011772e-05 4.0030118e-05 4.913522e-05 4.794994e-06 1.8856718e-06 1.8317955e-06 2.3705588e-06 2.6399405e-06 1.5085375e-06 1.8856718e-06 3.1248276e-06 4.2562306e-06 5.44151e-06 4.8488705e-06 4.148478e-06 3.6097147e-06 1.0236504e-05 8.620214e-06 0.00017860006 2.8931594e-05 1.9018347e-05 2.4459858e-05 6.642952e-05 3.4534733e-05 2.9362604e-05 4.337045e-05 7.596564e-05 4.2562306e-06 1.1852794e-05 9.913246e-06 3.577389e-05 1.2553187e-05 2.7692438e-05 5.931785e-05 0.0004921603 0.00011125464 7.311019e-05 9.778555e-05 0.00020322154 0.00018129387 0.00010058712 0.00013129663 0.00024422145 2.4082723e-05 3.2379678e-05 4.4932865e-05 0.00010112589 4.6980167e-05 0.00013404433 0.00029863653 0.061178412 0.061152067 0.061196353 0.061163273 0.061205514 0.061143447 0.0625264 0.061280295 0.061193444 0.061139137 0.06114167 0.06245097 0.061193123 0.061170492 0.061044585 0.063821696 42559.0 5.6783524 241665.0 0.010440072 0.010365589 0.010336623 0.010659384 0.010311795 0.009926965 0.010315933 0.010274554 0.010357313 0.009980759 0.0102207605 0.009811102 0.010063518 0.009910413 0.0104855895 0.010498003 0.0104855895 0.010460761 0.010564211 0.0105145555 0.010340761 0.010125587 0.01020007 0.010435934 0.010440072 0.010411106 0.009881447 0.010373864 0.010419382 0.010382141 0.010154553 0.010406968 0.010572487 0.010286967 0.010117311 0.01026214 0.0106635215 0.010725591 0.010398692 0.010361451 0.010278692 0.010419382 0.010481452 0.010216623 0.010166966 0.010469038 0.010415244 0.010266278 0.010907661 0.010253863 0.01010076 0.01026214 0.010229036 0.010440072 0.010713178 0.010862144 0.010551797 0.010171104 0.0101917945 0.010266278 0.010481452 0.010030414 0.0103076575 0.010258002 0.011238698 0.010560073 0.010502141 0.010489727 0.010924214 0.012153187 0.010493865 0.010332485 0.010580762 0.010845592 0.010092484 0.009902137 0.010862144 0.010324209 0.010775247 0.011135249 0.010427658 0.010146277 0.01068835 0.010597315 0.010878696 0.010411106 0.010543521 0.010067656 0.0102207605 0.010642832 0.010349037 0.010440072 0.010398692 0.0106635215 0.0101917945 0.010435934 6.584312 2.0 0.0 0.0 129.0 9282080.0 18624512.0 0.0 0.0 172.0 1.0 1.0 0.0 0.0 0.0 1299266400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 10.0 0.0 5.0 0.0 5.0 0.0 28160.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 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 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -28160.0 0.0 105472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.340292 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5099373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4308603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.518795 0.0 3.497964 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1609728.0 -16437042.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10850.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28078.0 0.0 105456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 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 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 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 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 1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 0.0 0.0 0.0 0.0 0.0 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 0.0 180.0 39732.0 105456.0 2080768.0 0.0 0.0 0.0 0.0 2404.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.2056079 0.0058389115 0.004192739 0.0036538672 0.0051522483 0.0037539108 0.0026693465 0.0027216421 0.006264097 0.0022578035 0.0030104045 0.001807607 0.004602008 0.0032082181 0.0015506767 0.00698714 0.004133622 0.0019622198 0.0011641444 0.0015142971 0.0023601209 0.0018326179 0.0028512443 0.0019917781 0.003210492 0.0028239596 0.0025533868 0.0027557479 0.0037811955 0.0028466966 0.0029058135 0.002844423 0.023526175 0.0029467405 0.0030035833 0.0028330544 0.0060389987 0.00316047 0.0025238285 0.0029035397 0.003647046 0.0028671601 0.003565192 0.0063004764 0.0064710057 0.0050453832 0.004147264 0.004317793 0.0052227336 0.0026215985 0.0024306062 0.0049066865 0.0023487522 0.0022623509 0.00233511 0.0019485776 0.0021509386 0.002503365 0.0017393953 0.0031559225 0.0019917781 0.002221424 0.0018053332 0.002082727 0.0042905086 0.0034628748 0.0066006077 0.0024760806 0.0077988575 0.0073713986 0.0028830762 0.0022623509 0.0025511133 0.0026170511 0.0016757313 0.0014892862 0.0030740686 0.0036493198 0.0026034086 0.001921293 0.0055501494 0.0024442484 0.0024442484 0.002901266 0.0031400064 0.00316047 0.0033446413 0.0038380383 0.0014801914 0.0032264078 0.0010481847 0.0024192375 0.0013301258 0.0033173566 0.0021031904 0.0021623073 0.0010322686 0.0044610375 0.0013551367 0.0024306062 0.0034333162 0.006386878 0.003274156 0.0016598152 0.0037789217 0.0029240032 0.0033037143 0.0011323122 0.002519281 0.0020554424 0.0034424113 0.0036856993 0.0023078253 0.00096405705 0.0040881475 0.0045838184 0.009017571 0.0069098333 0.0014597279 0.0012869252 0.0011482283 0.0014392644 0.00072076905 0.0005820722 0.0011618707 0.0017780486 0.0016075197 0.0013483156 0.0033582835 0.002050895 0.001466549 0.007253165 0.0018917345 0.006159506 0.0007821595 0.0008640134 0.0016006985 0.006216349 0.0013801476 0.016045637 0.002275993 0.0076283286 0.0016734576 0.0008321813 0.0026329672 0.0018485339 0.0011300385 0.0008412762 0.0011073013 0.000989068 0.000559335 0.0004069958 0.000834455 0.0007389588 0.0006116305 0.0005297766 0.0007707909 0.0005957145 0.0004547439 0.00087083457 0.00095041475 0.0011300385 0.0007935281 0.0010936591 0.0012346297 0.0008617397 0.00046611248 0.0018689974 0.0012937464 0.0005502401 0.0009867942 0.00076624344 0.0009867942 0.0008048967 0.0005797985 0.0009094878 0.0010572795 0.00073441135 0.0023623945 0.007737467 0.0045042383 0.0016416254 0.0019872307 0.0014369907 0.0020236103 0.0012937464 0.0014392644 0.0007821595 0.0012846515 0.0011163963 0.00095496216 0.0008776557 0.005329598 0.0036856993 0.0023646683 0.0030695212 0.0027739378 0.0010959328 0.002503365 0.002528376 0.0023146465 0.002705726 0.001523392 0.0010731956 0.0057252254 0.000989068 0.0012778303 0.0014210746 0.0019235667 0.0013483156 0.0011755129 0.0014938337 0.0018780923 0.0011618707 0.0010209 0.00096405705 0.0020190629 0.0014870125 0.0011141226 0.0015279395 0.0017803223 0.0012118925 0.0014415381 0.003590203 0.004465585 0.0016416254 0.003979009 0.0039676405 0.0025101863 0.0035924767 0.003362831 0.0037561846 0.011418619 0.0060912943 0.0034628748 0.005243197 0.0067870524 0.002642062 0.0024101427 0.0022077817 0.003403758 0.0030035833 0.0013323996 0.0011755129 0.0012778303 0.0011823341 0.0025397446 0.0012596406 0.0034151266 0.0015347606 0.001352863 0.0008253602 0.0022873618 0.0021100116 0.015870562 0.08370698 0.0045861932 8.6704145e-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 0.0064948252 1.5971817e-05 3.080279e-05 7.301402e-05 2.85211e-05 1.140844e-06 5.70422e-05 4.4492917e-05 1.140844e-06 0.0 0.0 0.0 0.0 0.0 9.126752e-06 0.00025326738 0.008469626 9.126752e-06 9.126752e-06 0.00010153512 2.1676036e-05 1.140844e-06 4.563376e-06 7.9859085e-05 7.985908e-06 3.422532e-06 0.0 0.0 1.2549284e-05 0.0 7.7577395e-05 0.00054760516 0.0060099666 0.00015173225 2.5098569e-05 0.00023387303 5.4760512e-05 3.9929542e-05 2.281688e-06 1.14084405e-05 1.140844e-06 1.140844e-06 2.2816881e-05 2.281688e-06 0.0 0.00012777453 0.0 0.00032514054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0053631077 0.0005521685 0.0015321536 8.0999926e-05 0.00014260551 0.00017226745 1.0267597e-05 0.00019736603 2.6239413e-05 9.6971744e-05 1.2549284e-05 3.5366164e-05 9.354921e-05 7.985908e-06 2.1676036e-05 0.0010005202 0.013644495 0.000373056 0.0033905886 0.00059437973 0.00072443596 0.00025783075 0.0012743227 0.00074725284 0.0002384364 0.00012092947 4.6774607e-05 7.8718236e-05 0.00014032381 3.1943633e-05 0.00015857733 0.0015424212 0.015115043 0.00036164757 0.0022200826 0.0005932389 0.0015196042 0.0005019714 0.003518363 0.0019417165 0.00011066187 0.00013576043 5.5901357e-05 8.3281615e-05 0.00017683083 7.073233e-05 7.5295706e-05 0.0015572521 0.034349672 0.002627364 0.008933949 0.0017238153 0.0040363064 0.0030015607 0.007858134 0.00400094 0.00034909826 0.0002509857 8.3281615e-05 0.00022360543 0.0002669575 0.00034567574 0.007685866 0.008374936 0.00719074 0.0015093366 0.002992434 0.00044378833 0.0009046893 0.0010849427 0.0013439143 0.00077805563 0.0006388727 0.00030688706 0.0003627884 0.0005316333 0.0006286051 0.0008134218 0.00815019 0.00736643 0.02479054 0.00812395 0.015020353 0.008268838 0.0057817977 0.0023432937 0.005090446 0.0034327998 0.003626743 0.0024026176 0.0011031962 0.012414665 0.0024619414 0.0031384618 0.012001679 0.023176247 0.013609129 0.0053847837 0.010539117 0.006554149 0.0066750785 0.002742589 0.0025475048 0.001938294 0.0037328417 0.0018367589 0.00239235 0.004829193 0.0047082636 0.005712206 0.011004582 0.023269797 0.009119907 0.0023432937 0.0056654317 0.0040705316 0.0038286727 0.0022622938 0.0020808994 0.001470548 0.003130476 0.0010358864 0.0008236894 0.0023296035 0.0024596597 0.002443688 0.0033563632 0.011990271 0.07591405 0.010316652 0.024499625 0.010212836 0.018555827 0.017518802 0.014584551 0.015131014 0.025850385 0.0051258123 0.0046398127 0.0061731073 0.015329521 0.006590656 0.013415185 0.028198242 0.0270882 0.005575305 0.005502291 0.005844544 0.011087864 0.0098329345 0.0046922914 0.007898063 0.018345913 0.0016291253 0.0022988007 0.002707223 0.010179752 0.0037328417 0.007827331 0.013607988 0.010418188 0.0041207285 0.0030175324 0.0029171382 0.0034419266 0.0042462214 0.0039119544 0.002793927 0.0056118118 0.0020021813 0.0034624618 0.0018812518 0.0040055034 0.0020831812 0.0038822922 0.005287812 1472.0 9.849185 14498.0 0.085598014 0.004897227 0.0035867016 0.0037246516 0.010760105 0.004207477 0.0034487515 0.0091047045 0.0050351773 0.004138502 0.004000552 0.004966202 0.0074493033 0.0048282524 0.011725755 0.003931577 0.0057939026 0.0045523522 0.004000552 0.0032418265 0.0036556767 0.002345151 0.0027590012 0.0034487515 0.0032418265 0.004690302 0.004345427 0.0050351773 0.0048282524 0.004138502 0.0031728514 0.0055869776 0.0153124565 0.008552904 0.003931577 0.0091047045 0.008414954 0.008690854 0.005173127 0.0077941786 0.0058628777 0.008483929 0.0026900263 0.0026900263 0.0075872536 0.004483377 0.0077941786 0.0037936268 0.018692233 0.0034487515 0.006345703 0.012484481 0.014484757 0.007863154 0.010001379 0.010070355 0.0029659264 0.0035867016 0.002207201 0.0075182784 0.007863154 0.0036556767 0.002000276 0.012691406 0.004483377 0.03717754 0.0091047045 0.024141261 0.025934612 0.060560077 0.01110498 0.009242654 0.010139329 0.026072562 0.008208029 0.0032418265 0.023520486 0.015105532 0.028624637 0.040143467 0.012967306 0.002138226 0.043385293 0.03345289 0.048903298 0.017174782 0.0057939026 0.0037936268 0.004621327 0.008621879 0.0022761761 0.0009656504 0.0018623258 0.0015174507 0.0008966754 0.002345151 5.859168 1.0 0.0 0.0 3.0 439808.0 491520.0 1.0 0.0 68.0 0.0 1.0 0.0 0.0 0.0 1415279600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 157184.0 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 107520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -157184.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4324503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1265674 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.846154 0.0 6.0929637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 107288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -156875.0 0.0 163528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 269556.0 163528.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 164240.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 262928.0 0.0 0.0 276.0 163840.0 0.0 0.0 0.0 0.0