Input: 0.29930282 0.007147598 0.0045041214 0.003573799 0.007102216 0.00273424 0.0019230442 0.0023825327 0.0077886125 0.0017415179 0.0021669702 0.0017358452 0.003959542 0.0015486463 0.001440865 0.0041013598 0.0061662216 0.0013727926 0.0013047203 0.0011118485 0.0025980952 0.0017812268 0.0011855937 0.001179921 0.0022293697 0.0010778124 0.0010834851 0.0009813765 0.0019514076 0.0010494489 0.0010267581 0.00097003113 0.0058031688 0.0009076315 0.0010267581 0.0008509045 0.0052812807 0.0021726429 0.00091330416 0.00091330416 0.0017982449 0.0011572301 0.0010721397 0.001179921 0.0013217384 0.0012706841 0.001440865 0.0007941775 0.002864712 0.0017244999 0.0011629028 0.0059222956 0.0011118485 0.0009303223 0.0007431233 0.00078283215 0.001310393 0.0010551215 0.0016961363 0.0024846413 0.003443327 0.0014125014 0.00079985027 0.00086224993 0.013898107 0.013404583 0.0014692284 0.003517072 0.0026831855 0.012468588 0.0026094406 0.0016223913 0.0017925722 0.0013330837 0.0011345394 0.0014635557 0.001718827 0.0024959866 0.0011742482 0.0012820294 0.004844483 0.0021215887 0.001775554 0.0061548757 0.0021272614 0.007652468 0.0039992514 0.0029044207 0.0014919193 0.0047764108 0.0026094406 0.004413358 0.0012139571 0.0032220918 0.0035057266 0.0023995508 0.0007941775 0.004135396 0.0009076315 0.0019343896 0.006637055 0.006739164 0.004112705 0.0013330837 0.00439634 0.0034546724 0.0022407153 0.0010381035 0.003704271 0.00151461 0.0035284173 0.0042148135 0.002246388 0.00078283215 0.0050089913 0.003420636 0.010035001 0.0062399665 0.0014011561 0.0015373008 0.002076207 0.0016961363 0.0007204325 0.0011515574 0.0016564274 0.0018266083 0.0012990476 0.0014011561 0.003437654 0.0024846413 0.0008452318 0.0068809814 0.0031143106 0.0048388103 0.00073745055 0.0009303223 0.0019287169 0.010766778 0.0019287169 0.041200798 0.0008282137 0.0075787227 0.0006410147 0.00077715947 0.0027228945 0.00078850484 0.001066467 0.0007714868 0.0012082844 0.0009927219 0.00080552296 0.00062399666 0.0012423206 0.000822541 0.00075446867 0.0011685755 0.0012820294 0.0008395591 0.00070908706 0.00068072364 0.0009757038 0.0018039176 0.0007431233 0.00096435845 0.0008282137 0.0008282137 0.00068072364 0.000822541 0.0007204325 0.000748796 0.0007941775 0.0007431233 0.00094166765 0.00065236015 0.0009076315 0.0006977417 0.0017982449 0.0008962861 0.0013387564 0.0008565772 0.0010778124 0.0007147598 0.00073745055 0.0010721397 0.0021215887 0.001628064 0.0017074817 0.00073177787 0.0010324308 0.0006863963 0.000879268 0.00091330416 0.010437762 0.001775554 0.0022010063 0.011396448 0.003012202 0.0012706841 0.004010597 0.002620786 0.0015316281 0.001832281 0.0009757038 0.0010834851 0.0011345394 0.00073177787 0.0011515574 0.0009019588 0.0020081347 0.0013217384 0.0022917695 0.0018719899 0.0014635557 0.0012593387 0.0022974422 0.0027739487 0.0043112496 0.0016564274 0.0017528633 0.002620786 0.0012933748 0.0010721397 0.0009757038 0.0012820294 0.0015599916 0.0011288667 0.0014635557 0.0010381035 0.0013047203 0.0014011561 0.0008282137 0.0008509045 0.01933255 0.0037326345 0.0010607943 0.0062796753 0.0036418713 0.00091330416 0.0010267581 0.0009530131 0.00475372 0.00096435845 0.0017698813 0.0013784653 0.003256128 0.00094166765 0.001979771 0.0015259554 0.005905277 0.0016394093 0.0014749011 0.0017812268 0.007833994 0.0015032646 0.0059790225 0.048132833 0.15784904 5.710892e-06 0.0 0.0 2.2843567e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.710892e-06 0.0 1.1421784e-05 0.0055795414 8.566338e-06 2.855446e-06 8.566338e-06 5.1398027e-05 1.9988121e-05 2.5699013e-05 5.710892e-06 1.7132676e-05 2.2843567e-05 1.427723e-05 1.1421784e-05 1.427723e-05 2.855446e-06 1.9988121e-05 4.283169e-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 0.015416552 6.85307e-05 0.00019131487 4.854258e-05 0.00011136239 5.9964364e-05 0.00035978618 0.00022558022 0.0007652595 3.426535e-05 5.1398027e-05 3.426535e-05 3.9976243e-05 3.9976243e-05 4.5687135e-05 5.1398027e-05 0.0049513434 2.2843567e-05 4.283169e-05 7.1386145e-05 0.00025127924 1.7132676e-05 0.0001370614 0.00013420595 6.281981e-05 1.1421784e-05 1.1421784e-05 1.1421784e-05 5.1398027e-05 3.7120797e-05 2.2843567e-05 1.1421784e-05 0.0044602067 6.281981e-05 0.00014277229 2.2843567e-05 7.709704e-05 5.9964364e-05 0.00066817435 0.00032266538 8.566338e-06 5.710892e-06 0.0 2.855446e-06 8.566338e-06 2.855446e-06 0.0 2.855446e-06 0.01136182 0.00010279605 0.00047114858 5.710892e-05 0.0009965507 0.00020844756 0.0026412874 0.0011364674 5.710892e-05 0.00012278417 7.9952486e-05 2.855446e-05 4.283169e-05 7.4241594e-05 3.9976243e-05 0.00012278417 0.013686152 0.00025127924 0.0012249863 0.00011136239 0.0006710298 0.00027126737 0.004340278 0.0024356954 0.000105651496 6.281981e-05 1.9988121e-05 2.855446e-05 3.9976243e-05 3.1409905e-05 5.1398027e-05 5.9964364e-05 0.004334567 8.566338e-06 4.854258e-05 8.851882e-05 0.0021815607 0.0008395011 0.006873058 0.0029610975 4.854258e-05 1.7132676e-05 1.9988121e-05 2.2843567e-05 1.1421784e-05 4.854258e-05 3.7120797e-05 2.855446e-06 0.0034208242 7.1386145e-05 7.4241594e-05 0.00012278417 0.00079381396 4.854258e-05 0.0003797743 0.00018274854 0.000108506945 0.00013420595 9.137427e-05 3.426535e-05 9.422971e-05 9.708516e-05 5.9964364e-05 0.00013420595 0.012172766 0.00039976242 0.00043117235 0.0011621665 0.002395719 0.0004540159 0.0013763249 0.0011850101 0.0007138615 0.00067674066 0.00020844756 0.00017989309 0.0004054733 0.00019131487 0.0005025585 0.00093658624 0.013037966 0.0009765625 0.0016247487 0.0016818576 0.0041146977 0.0010393823 0.004637244 0.002618444 0.0010707922 0.0008080912 0.00029411094 0.00035978618 0.0004939921 0.00045687135 0.00047400402 0.0013991685 0.0028782894 0.00036549708 0.00065675256 0.0003483644 0.0012449744 0.00046829312 0.001850329 0.00089661 0.00044544955 0.00019702577 5.4253473e-05 9.708516e-05 0.00031980994 0.00036264164 0.00031980994 0.0011907209 0.02436552 0.0036920914 0.0030496162 0.0037035134 0.011410362 0.010099712 0.0037863213 0.005182634 0.018780267 0.0017047012 0.00096799614 0.0017446774 0.007926717 0.003966214 0.009143137 0.019131487 0.070746526 0.014111614 0.012806674 0.013923154 0.032692 0.034910683 0.017021313 0.018149214 0.060078584 0.005582397 0.0053825155 0.008943257 0.029602408 0.017709475 0.02958242 0.061506305 0.008492096 0.0068016723 0.007024397 0.0068959016 0.0072071454 0.0068302266 0.0066617555 0.007061518 0.0069901315 0.0069301673 0.0065218383 0.0065532485 0.0070872167 0.007158603 0.006284836 0.006610357 807.0 11.389095 9191.0 0.029485365 0.0017408334 0.0016320313 0.00065281254 0.0055489065 0.001196823 0.0013056251 0.0009792187 0.0018496355 0.0017408334 0.0031552606 0.0009792187 0.0014144272 0.003808073 0.00990099 0.0010880209 0.0026112502 0.0020672397 0.0034816668 0.004787292 0.0009792187 0.001196823 0.001196823 0.001196823 0.0019584375 0.0017408334 0.0008704167 0.0021760417 0.0014144272 0.0016320313 0.0010880209 0.001196823 0.0055489065 0.020890001 0.004025677 0.014905886 0.007398542 0.015885105 0.0133826565 0.010662605 0.0050048963 0.007616146 0.0008704167 0.003808073 0.010445001 0.006201719 0.004025677 0.0054401043 0.0066369274 0.009792188 0.00783375 0.020237189 0.012294636 0.010445001 0.008704167 0.007180938 0.0029376564 0.00990099 0.0046784896 0.009356979 0.003590469 0.009139376 0.009574584 0.008921771 0.0009792187 0.049831357 0.004025677 0.019475574 0.02350125 0.0989011 0.008921771 0.009465782 0.0113154175 0.04003917 0.0018496355 0.0056577087 0.044935264 0.010445001 0.03905995 0.044391252 0.011533021 0.001196823 0.0572299 0.02654771 0.05625068 0.014905886 0.004896094 0.0069633336 0.012729844 0.014144272 0.0018496355 0.0008704167 0.001196823 0.00065281254 0.0013056251 0.0015232293 5.5914536 0.0 0.0 0.0 1.0 176283.0 167936.0 0.0 0.0 10.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 57344.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54784.0 0.0 0.0 0.0 0.0 0.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4.5347943 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8068855 0.0 0.0 0.0 0.0 0.0 6.5148115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.8432586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 163840.0 536.0 159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 156732.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.07897816 0.005085056 0.004213689 0.00380006 0.0040139486 0.0037767568 0.0035703585 0.004131296 0.0040772 0.0034746495 0.0034222177 0.004005626 0.00348214 0.0036985253 0.003359799 0.0044442224 0.0036327774 0.0034172244 0.0033880954 0.0034055728 0.0033081993 0.0036594095 0.0033048703 0.0032982123 0.003476314 0.0035969906 0.003234129 0.0032682512 0.003250774 0.0032932188 0.0033514765 0.0035329072 0.003895769 0.0032932188 0.003327341 0.0033947534 0.003499617 0.0034671593 0.0032557675 0.003320683 0.003359799 0.0032224774 0.0033939213 0.0033806053 0.0034338692 0.0033656247 0.0035179267 0.0032366258 0.003522088 0.0033115284 0.003353141 0.0036111388 0.0032957157 0.003327341 0.003280735 0.0032915543 0.0032823996 0.0032565997 0.0032549351 0.0033348314 0.0032923867 0.003260761 0.0033148574 0.003320683 0.003406405 0.0034305402 0.00348214 0.0034122309 0.0034089019 0.003581178 0.0033098639 0.0032590965 0.0033190185 0.0034488498 0.0032632577 0.0032582642 0.0032682512 0.0034588368 0.0032516061 0.003277406 0.0037925697 0.0031758714 0.0033090315 0.003584507 0.0034646627 0.0035861712 0.0037268219 0.0035071075 0.0034754819 0.0033706182 0.0034072374 0.0033389926 0.0032008388 0.0034047405 0.0033905923 0.0034679917 0.0032923867 0.003661906 0.0033889278 0.0034729852 0.0036793835 0.004028929 0.003482972 0.0033539732 0.0036161323 0.003508772 0.0034838044 0.0033905923 0.0036951962 0.0034005793 0.0036402678 0.0037601118 0.0034754819 0.0032890576 0.0036968607 0.0035728554 0.004082193 0.003962349 0.003396418 0.00364859 0.0033181864 0.0033639602 0.0034080695 0.003403076 0.003496288 0.003558707 0.0035195912 0.003691035 0.004164586 0.0038158726 0.0035978227 0.0036302807 0.003545391 0.00391824 0.0035403974 0.0033747794 0.0034779785 0.0037334799 0.0036985253 0.0045898664 0.003505443 0.0037559506 0.0034105664 0.0034138954 0.0035229202 0.0034813075 0.0034047405 0.0034113985 0.003479643 0.0033972503 0.0035354039 0.0034471853 0.003505443 0.0034205532 0.0034480176 0.0034912946 0.00351543 0.0034771464 0.0035861712 0.003416392 0.0034371982 0.0034679917 0.003429708 0.003324012 0.00351543 0.0034663272 0.0033040382 0.003413063 0.0034113985 0.0034446886 0.003545391 0.0033905923 0.0033880954 0.0033772762 0.003413063 0.003486301 0.0034471853 0.0034605013 0.0034979526 0.0033914244 0.003641932 0.0035237526 0.003512101 0.0035345717 0.003485469 0.0033739472 0.003416392 0.00342305 0.003492959 0.003558707 0.0034688239 0.0035928292 0.0039382135 0.0035337394 0.003562036 0.0034937914 0.0035545458 0.0034089019 0.0034721529 0.00348963 0.003575352 0.003522088 0.0035637005 0.003502114 0.0034513467 0.00335647 0.0034280436 0.003433037 0.0034430241 0.0033822698 0.0033756117 0.0035354039 0.0034813075 0.0034222177 0.0035861712 0.0035071075 0.003651087 0.003661906 0.003657745 0.004044742 0.004249476 0.003816705 0.003743467 0.003909917 0.0037809182 0.0038474982 0.0038291886 0.003876627 0.003806718 0.0036693965 0.0037825827 0.0036902027 0.0038683044 0.003664403 0.0035903326 0.0038749625 0.0037484604 0.003684377 0.00367439 0.0036935317 0.003929891 0.0036960286 0.0037118413 0.0038724658 0.0037426346 0.0036718932 0.0037101768 0.0036194613 0.003923233 0.00357452 0.0036494224 0.003641932 0.0046789176 0.0072472454 0.009765638 0.010973235 0.001692736 3.3329777e-06 1.2498667e-06 1.6664889e-06 1.2498667e-06 1.2498667e-06 1.2498667e-06 4.166222e-07 1.2498667e-06 1.2498667e-06 0.0 0.0 8.332444e-07 0.0 0.0 0.0 0.004909893 4.7078312e-05 1.3331911e-05 8.749067e-06 1.1248801e-05 6.6659554e-06 1.0832178e-05 1.3331911e-05 2.833031e-05 1.0832178e-05 2.4997335e-06 4.1662224e-06 1.7081511e-05 1.2498666e-05 8.749067e-06 1.4165155e-05 0.0085053425 7.540862e-05 7.3325515e-05 6.290996e-05 2.2914222e-05 2.7080445e-05 5.582738e-05 3.707938e-05 6.4993066e-05 2.62472e-05 3.6246132e-05 3.6246132e-05 3.8329246e-05 2.5413956e-05 1.5831645e-05 0.00028246987 0.0052348585 5.2911022e-05 1.9581244e-05 2.0831112e-05 6.790942e-05 3.2913154e-05 2.3747467e-05 4.0828978e-05 6.4576445e-05 1.7081511e-05 1.4165155e-05 1.2082045e-05 2.416409e-05 2.9163555e-05 2.7497066e-05 0.00029038568 0.0056194006 5.1661154e-05 2.791369e-05 6.582631e-05 1.9997868e-05 2.2914222e-05 5.082791e-05 3.499627e-05 7.2492265e-05 2.99968e-05 2.791369e-05 5.4994132e-05 6.332658e-05 6.665956e-05 7.457538e-05 0.00054244214 0.0034150523 6.4993066e-05 1.8331379e-05 1.6248267e-05 7.207564e-05 3.6662757e-05 2.5830577e-05 4.0828978e-05 0.00010457218 2.6663822e-05 2.5413956e-05 6.124347e-05 4.2495467e-05 8.9573776e-05 6.124347e-05 0.0001649824 0.0037358515 5.041129e-05 2.6663822e-05 2.9163555e-05 2.5413956e-05 2.4580711e-05 5.6244e-05 5.7077246e-05 4.832818e-05 3.6662757e-05 4.2078846e-05 0.00011790409 8.9157154e-05 0.00015331699 9.4573246e-05 0.0005320266 0.0057560527 9.4573246e-05 0.00043911982 6.540969e-05 9.74896e-05 7.082578e-05 0.0010386392 0.0006107682 0.00012790303 4.3745335e-05 6.415982e-05 0.00013165262 0.00010290569 0.00021997653 0.00011832071 0.00040412357 0.0045640967 3.207991e-05 0.0001912296 0.00010832178 0.00019206284 0.00013998507 0.0007449205 0.0003582951 0.00011040489 5.1244533e-05 7.3742136e-05 0.00012581992 0.00013748533 0.00015540009 0.00014081832 0.0005532743 0.0040753987 0.00017998081 5.4994132e-05 4.9161423e-05 0.00013331912 7.415876e-05 0.0002941353 0.00019247946 0.0002270591 9.0407026e-05 0.00012332018 0.00023330844 0.00027122107 0.00041662224 0.00029913476 0.00096448045 0.0049169757 0.00020456151 7.082578e-05 6.0410224e-05 0.0001537336 9.2906754e-05 0.00035704524 0.0002399744 0.0002941353 0.00027705377 0.00032746507 0.0004216217 0.00056493975 0.0006557634 0.00058368774 0.0018710505 0.007583358 0.00038579217 0.00018748001 0.00016789876 0.00022330951 0.0002416409 0.00033121466 0.00053077674 0.00082782836 0.00065909635 0.0006853436 0.0009082364 0.0010394724 0.001100716 0.0015444186 0.0040612333 0.0063439067 0.00033413104 0.00048828125 0.0003149664 0.00039912408 0.0003695439 0.000772001 0.0007461704 0.0009973936 0.00081616297 0.00083949376 0.00087449007 0.0008757399 0.0012090377 0.0016935694 0.0042570457 0.01646116 0.0018531356 0.0018048075 0.0018010578 0.0019639572 0.0024430729 0.002183517 0.0029042736 0.00497197 0.0026243033 0.0021343557 0.0020868608 0.0022526763 0.003701272 0.00468825 0.010971746 0.0042183 0.0010703024 0.0006736781 0.0009994768 0.0006965924 0.0012852795 0.0009503153 0.0010894671 0.0015839977 0.0005074459 0.0005566073 0.00055077457 0.000831578 0.0006753446 0.00094739895 0.0021347723 0.050197564 0.049923424 0.050273806 0.049525134 0.049769275 0.05034255 0.049924675 0.049988836 0.049655538 0.050358795 0.04990676 0.050242975 0.049978003 0.050003 0.049830936 0.05042004 4986.0 6.2874045 31349.0 0.011292227 0.008548917 0.009282593 0.009601582 0.010143864 0.010335258 0.008644613 0.008325624 0.00845322 0.009888672 0.009761077 0.009537784 0.0094101885 0.013142365 0.011387923 0.008261827 0.012950972 0.0111965295 0.009601582 0.010207662 0.008772209 0.009282593 0.0077514434 0.008899805 0.0085170185 0.008772209 0.0077195447 0.008867906 0.008421321 0.008421321 0.008740311 0.008804109 0.0100800665 0.012281094 0.009346391 0.011356024 0.01177071 0.010111965 0.010430954 0.010111965 0.008580816 0.012249195 0.008580816 0.008804109 0.01027146 0.009824875 0.00966538 0.009537784 0.011451721 0.008740311 0.010813742 0.013652748 0.012823376 0.009442087 0.010654247 0.009824875 0.012791476 0.008772209 0.008612715 0.009537784 0.008708412 0.008644613 0.008421321 0.0094101885 0.008006635 0.015502887 0.009761077 0.011611216 0.011994003 0.023509521 0.009154997 0.010430954 0.010909439 0.014673514 0.009154997 0.010781843 0.015151998 0.010494753 0.014896807 0.01540719 0.011738812 0.0089636035 0.016077068 0.013620849 0.018788477 0.011260327 0.009442087 0.010207662 0.008899805 0.009346391 0.00845322 0.008293726 0.008357523 0.009697279 0.008772209 0.008389423 6.549266 1.0 13.0 0.0 18.0 1201560.0 1208320.0 1.0 0.0 126.0 0.0 1.0 1.0 0.0 0.0 998081540.0 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 -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 5.0 1.0 7.0 0.0 5.0 1.0 4.0 0.0 34816.0 1024.0 4096.0 3.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34816.0 0.0 1159168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.184279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6487327 0.0 7.7572412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34330.0 0.0 1159044.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 35504.0 1159044.0 49152.0 0.0 0.0 5528.0 1196032.0 0.0 0.0 28.0 4624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 528.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.118589744 0.01181891 0.0059595355 0.0067608175 0.008713942 0.0057592145 0.004757612 0.0060096155 0.009114583 0.0038561698 0.005008013 0.0045072115 0.006159856 0.0056089745 0.003555689 0.005058093 0.0076121795 0.00395633 0.0029547275 0.0030048077 0.0040564905 0.004206731 0.0033052885 0.002353766 0.005008013 0.00395633 0.002353766 0.0041065705 0.005108173 0.0033553685 0.0030048077 0.0034555288 0.009314904 0.0033553685 0.0033052885 0.0030548878 0.005058093 0.0021033655 0.0021033655 0.0026041667 0.0034054487 0.0019030449 0.0020532853 0.00395633 0.004607372 0.0038561698 0.0044070515 0.0038060897 0.004757612 0.0024038462 0.0036558493 0.005408654 0.00395633 0.003104968 0.0040064105 0.0021534455 0.0041065705 0.0034555288 0.002754407 0.005508814 0.0045572915 0.00390625 0.0025040065 0.0029547275 0.0057091345 0.0041065705 0.0032552083 0.0029547275 0.00395633 0.003104968 0.0034555288 0.0025540865 0.0033553685 0.0025540865 0.001953125 0.0028545673 0.0038060897 0.0029547275 0.0036057692 0.0029547275 0.006560497 0.0045572915 0.004356971 0.004607372 0.0036057692 0.0029046475 0.0044070515 0.0040564905 0.00390625 0.002353766 0.0022536058 0.0036558493 0.0032552083 0.0032051282 0.002754407 0.004607372 0.0040064105 0.006209936 0.0036057692 0.004757612 0.006310096 0.007061298 0.004607372 0.0033052885 0.0065104165 0.005508814 0.0034555288 0.0028545673 0.0072616185 0.004306891 0.006710737 0.005809295 0.0052584135 0.0014523237 0.005859375 0.008463542 0.010066106 0.006209936 0.0034555288 0.0033553685 0.003555689 0.003555689 0.00095152244 0.003505609 0.0034054487 0.0024038462 0.002704327 0.0024539263 0.0072616185 0.00390625 0.0028545673 0.0059595355 0.003505609 0.004306891 0.0030548878 0.0029547275 0.005158253 0.0041566505 0.0026542468 0.006710737 0.0028545673 0.005408654 0.0024038462 0.0026041667 0.0045072115 0.0019030449 0.0026041667 0.0032552083 0.0025540865 0.0013020834 0.0026041667 0.0016025641 0.0019030449 0.001953125 0.002303686 0.0030048077 0.0026041667 0.0017027244 0.0018028846 0.0019030449 0.0032552083 0.0028044872 0.0017027244 0.0033052885 0.002353766 0.0015024039 0.0026041667 0.0014022436 0.0016025641 0.0021033655 0.0018028846 0.0014022436 0.0024539263 0.0014022436 0.0018028846 0.0018529647 0.0040064105 0.001953125 0.0026041667 0.002353766 0.0018028846 0.0017528045 0.0032552083 0.0019030449 0.0032051282 0.0024038462 0.0025540865 0.002754407 0.0022536058 0.0021033655 0.0024038462 0.0026542468 0.004657452 0.0033553685 0.0037059295 0.004206731 0.0024539263 0.0021033655 0.0030548878 0.003104968 0.00395633 0.002754407 0.0017528045 0.0022536058 0.003104968 0.0024038462 0.001552484 0.0025540865 0.0029547275 0.0017528045 0.0016025641 0.0016526442 0.0017528045 0.0014022436 0.0016526442 0.0026041667 0.0038561698 0.002754407 0.0020532853 0.004707532 0.0028044872 0.0025040065 0.0021033655 0.002754407 0.0026542468 0.0017027244 0.0015024039 0.0014022436 0.0033052885 0.0010016026 0.0021033655 0.0017528045 0.0032051282 0.0026041667 0.0012520032 0.00390625 0.0037059295 0.0022035257 0.0029547275 0.0028545673 0.005558894 0.0022536058 0.0016526442 0.001953125 0.0017027244 0.001151843 0.0032051282 0.0029046475 0.0029547275 0.0024038462 0.0015024039 0.0029547275 0.0028044872 0.002303686 0.0018529647 0.008012821 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.031141493 0.00027126737 0.0028483074 0.0030653211 0.00062391494 0.00032552084 0.0078125 0.0037163629 0.0022515191 8.138021e-05 5.4253473e-05 0.00018988716 0.00062391494 0.00013563369 0.00032552084 0.0020887586 0.032199435 0.0016276041 0.0008951823 0.0012207031 0.0016276041 0.0013563368 0.0013020834 0.0018174914 0.0037434895 0.0007052951 0.00043402778 0.00086805556 0.0018174914 0.0010850695 0.001546224 0.0033094618 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024251303 0.0025770399 0.0020887586 0.0020887586 0.0026041667 0.0032009548 0.0033908421 0.0024142796 0.002875434 0.0020073785 0.0016818576 0.0014648438 0.0014648438 0.00086805556 0.0010036892 0.0015733507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012152778 0.0037434895 0.0021972656 0.0023328993 0.0038519965 0.0040690103 0.00523546 0.004313151 0.0034993489 0.0016276041 0.0014648438 0.0019802516 0.0024414062 0.0021158855 0.0019259983 0.0026041667 0.084879555 0.057942707 0.051974826 0.051323786 0.044270832 0.054714628 0.057807073 0.053521052 0.057617188 0.03567166 0.03225369 0.038628474 0.04437934 0.037841797 0.036295574 0.038655598 168.0 10.619047 1784.0 0.045964126 0.004484305 0.017376682 0.0061659194 0.0061659194 0.0016816143 0.0011210763 0.0028026905 0.0033632286 0.0011210763 0.0022421526 0.0016816143 0.0084080715 0.0061659194 0.016816143 0.0084080715 0.011771301 0.007847534 0.0084080715 0.011771301 0.005605381 0.005044843 0.009529148 0.0028026905 0.011771301 0.0061659194 0.0033632286 0.005605381 0.012331839 0.011771301 0.010089686 0.0072869956 0.012331839 0.013452915 0.005044843 0.00896861 0.0067264573 0.00896861 0.004484305 0.004484305 0.0016816143 0.005605381 0.0016816143 0.0028026905 0.0084080715 0.0067264573 0.004484305 0.003923767 0.013452915 0.00896861 0.0061659194 0.0072869956 0.0072869956 0.004484305 0.00896861 0.0067264573 0.0084080715 0.0028026905 0.0016816143 0.004484305 0.0028026905 0.005044843 0.0033632286 0.011210762 0.004484305 0.028026905 0.016816143 0.024663677 0.029147983 0.05325112 0.0061659194 0.010650224 0.013452915 0.025784753 0.0084080715 0.0061659194 0.030829597 0.01793722 0.033632286 0.027466368 0.012892377 0.0022421526 0.029147983 0.04091928 0.037556052 0.013452915 0.005605381 0.0084080715 0.007847534 0.018497758 0.0011210763 0.003923767 0.0022421526 0.0011210763 0.005605381 0.004484305 6.052005 0.0 0.0 0.0 3.0 19968.0 94208.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1246813700.0 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 8.0 0.0 4.0 0.0 4.0 0.0 16384.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.85216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1586704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 91976.0 1864.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 89908.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.05669029 0.008301622 0.0061783125 0.0056511103 0.005757794 0.0049581863 0.004198974 0.0054232427 0.0050493334 0.0056293593 0.0037556682 0.0044662002 0.0049612937 0.0031714991 0.0043243007 0.0046360646 0.0050358684 0.0037763834 0.004925042 0.0041585793 0.004361588 0.0031735706 0.004105755 0.003847851 0.0050690128 0.0033486143 0.0031611416 0.0029312028 0.0041523646 0.0034428686 0.003790884 0.0037836337 0.006166919 0.0038198854 0.00347912 0.0030223497 0.0048929336 0.0041585793 0.0038343861 0.0037121663 0.0047323904 0.0038934243 0.0033351493 0.0030927814 0.0043729814 0.0037339171 0.0037225238 0.0035785532 0.005508175 0.0039534983 0.0031031389 0.002899094 0.003677986 0.0030710304 0.0026898705 0.0028783788 0.0041699726 0.0033216844 0.0035246937 0.0033527573 0.0040042507 0.0032170727 0.003505014 0.0034511546 0.006595724 0.003951427 0.0036148047 0.0032212157 0.004159615 0.0032201798 0.0035464445 0.003067923 0.0049975454 0.0037836337 0.0036976656 0.0035868392 0.0041223275 0.0031238543 0.0035671596 0.0034646194 0.005166374 0.003626198 0.0036500206 0.0033361851 0.0039327834 0.0033838302 0.0033651865 0.0035350511 0.004651601 0.0036427702 0.0038064204 0.0035039783 0.0041088625 0.0033838302 0.0036862723 0.003790884 0.005919372 0.003631377 0.0033382566 0.0029570968 0.004007358 0.0030503152 0.0032709322 0.0030306356 0.0049716514 0.0031621773 0.0031953217 0.0030544582 0.0035692314 0.0028296981 0.0030834596 0.003202572 0.004509702 0.003297862 0.0032222515 0.0031435336 0.0038882457 0.0033341136 0.0032957904 0.003627234 0.004617421 0.0032957904 0.00347912 0.003168392 0.004030145 0.0032015361 0.003470834 0.003345507 0.0086454945 0.004604992 0.004011501 0.0035350511 0.004362624 0.0034366539 0.0030202782 0.0033879732 0.0045376676 0.0038323144 0.002960204 0.0031901428 0.0037318456 0.0028017326 0.0028483418 0.0029788476 0.0052295555 0.0032118938 0.0035039783 0.0030285642 0.003661414 0.003176678 0.0033020051 0.0032616104 0.004542846 0.0028421273 0.003042029 0.0027064427 0.003514336 0.0032274302 0.0029788476 0.0031476766 0.0050089387 0.003419046 0.0032657534 0.0027996611 0.0037722404 0.0030140635 0.0030523867 0.003180821 0.0041440786 0.0030047416 0.003119711 0.0030171708 0.0036458776 0.0028369485 0.0029177377 0.003033743 0.0046754237 0.0031093536 0.003846815 0.0028628425 0.0035630167 0.0031476766 0.0029871338 0.003120747 0.0042517977 0.0031487125 0.003337221 0.0031849642 0.003653128 0.0031901428 0.0033361851 0.0033465428 0.0067189797 0.004059146 0.0037266668 0.003337221 0.0041140416 0.003250217 0.003306148 0.003228466 0.004331551 0.0033258274 0.003116604 0.0030844952 0.003647949 0.0029840264 0.0030803522 0.0027924108 0.0042486903 0.0032709322 0.0030979603 0.0030068133 0.0037121663 0.0030275285 0.0029394887 0.002942596 0.0039752494 0.003107282 0.002727158 0.0026432613 0.0035288366 0.002942596 0.0035816603 0.0028939154 0.0049519716 0.0032357164 0.0033983309 0.0029705616 0.0038012417 0.0030720662 0.0031994646 0.0029022014 0.004443413 0.0054512084 0.0034656553 0.0031331761 0.0037939914 0.0030834596 0.003250217 0.0031922143 0.0046143136 0.0033206488 0.0034169746 0.0030368504 0.0037328815 0.0030844952 0.0033185773 0.0032440023 0.0043470873 0.0030368504 0.0031901428 0.0028669855 0.004015644 0.003098996 0.0042207246 0.0045159166 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09923629 0.062023655 0.06244292 0.05532211 0.060598765 0.059544887 0.05493242 0.05447527 0.06046489 0.05314534 0.05212519 0.05295698 0.056423206 0.05055449 0.056654636 0.053838585 4023.0 5.702958 22943.0 0.017129408 0.010460707 0.00937105 0.008804428 0.01346816 0.012465675 0.011811881 0.011419605 0.012596435 0.009719741 0.008499324 0.008630083 0.013947609 0.010591466 0.011768295 0.009937672 0.016737131 0.011899054 0.008717256 0.007540426 0.009806912 0.008455738 0.00784553 0.008368566 0.010373535 0.008412152 0.009632568 0.008848014 0.011550364 0.008935187 0.009632568 0.009153118 0.018001134 0.010940156 0.010373535 0.009065946 0.010852983 0.008848014 0.010678639 0.008281393 0.014209127 0.01159395 0.009719741 0.008935187 0.011419605 0.0094146365 0.011724709 0.009545395 0.014775748 0.009632568 0.009981258 0.008978774 0.012029813 0.00937105 0.009632568 0.009806912 0.013686092 0.009240291 0.010504293 0.009545395 0.011114501 0.009806912 0.010373535 0.010678639 0.017957548 0.010983743 0.009719741 0.008237807 0.01311947 0.008237807 0.00937105 0.008324979 0.015473129 0.009283877 0.008891601 0.008717256 0.011332433 0.008019876 0.009937672 0.007932703 0.013250229 0.007976289 0.00867367 0.008804428 0.011463191 0.009501809 0.008150634 0.007932703 0.01089657 0.00902236 0.011942641 0.008499324 0.011288846 0.00902236 0.010024844 0.008717256 6.554659 0.0 0.0 0.0 14.0 965474.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.030099763 0.0022492255 0.004139714 0.002283391 0.002659211 0.0019929847 0.009036762 0.0040884656 0.003951804 0.0029097577 0.0060302024 0.0024542182 0.0020100675 0.0015374454 0.0030008655 0.0018164632 0.0018734057 0.002915452 0.002357416 0.0013723123 0.0028812864 0.0018620171 0.009737154 0.0048116343 0.0034848761 0.0082566505 0.0031659985 0.0027787902 0.0023688048 0.0042877644 0.0036784804 0.009122176 0.0032286353 0.0070551657 0.0038663903 0.0028528152 0.0028642036 0.0020499271 0.011354319 0.0045098397 0.0034450165 0.0033254374 0.0035589011 0.008808993 0.0030976676 0.0020043731 0.003410851 0.0014691144 0.0015317511 0.001292593 0.0023688048 0.00413402 0.0022435314 0.0017538265 0.0086096935 0.0039404156 0.0023744989 0.0041511026 0.003741117 0.0038948616 0.004828717 0.0042706816 0.0029610058 0.0013495353 0.0013381469 0.0019872903 0.0018506286 0.0031489157 0.0029610058 0.0026079628 0.0059334002 0.0032343294 0.0019246538 0.001953125 0.002283391 0.0026193513 0.0033140488 0.0012641217 0.0037752825 0.0016627187 0.006001731 0.001434949 0.0022776967 0.0016114705 0.0031261388 0.0020897868 0.0068558673 0.0028585095 0.0029780886 0.0022093658 0.011320153 0.008883017 0.0026079628 0.0017253553 0.0017652151 0.0011502369 0.0027218477 0.0018620171 0.0023004739 0.003929027 0.0024769953 0.0041511026 0.012675382 0.0053525874 0.003501959 0.009184812 0.005170372 0.0054550837 0.0027730959 0.0014520317 0.0039916635 0.0086723305 0.0031603044 0.013990752 0.0028129555 0.008154155 0.0032969662 0.0016741072 0.003433628 0.002357416 0.0016798014 0.0014634202 0.0017367438 0.0015203626 0.0014748087 0.00080858235 0.001224262 0.0013837008 0.0017709093 0.0007231687 0.0011844024 0.0007744169 0.0013267584 0.00096802117 0.005079264 0.0026535168 0.002118258 0.0016854956 0.0016911898 0.0011559312 0.0016114705 0.0008028881 0.0017310496 0.0010932945 0.0038322248 0.0019815962 0.0028642036 0.010961416 0.019821657 0.0035475127 0.0051646773 0.0030862791 0.002232143 0.0013780065 0.0018790999 0.0013324526 0.003319743 0.0020271502 0.0031603044 0.0013780065 0.0020840925 0.0010534348 0.0015886935 0.0019929847 0.0024371357 0.001269816 0.010671009 0.0046635843 0.0035475127 0.0033254374 0.0019815962 0.0011616254 0.0037581997 0.0030862791 0.002306168 0.0021296465 0.0016798014 0.001247039 0.0018278516 0.0010306578 0.0021467293 0.0012584275 0.0038094479 0.0022890852 0.0017993805 0.0011844024 0.0015431396 0.000893996 0.0013324526 0.0010249636 0.0024769953 0.0010192693 0.0009964923 0.0018221574 0.0015317511 0.000728863 0.0025624088 0.00094524416 0.0057967384 0.0026136572 0.0016627187 0.0011046829 0.0019132653 0.0010249636 0.0011103771 0.0009794097 0.01422991 0.0027958727 0.001081906 0.004868577 0.0032457178 0.0009964923 0.0017709093 0.0015431396 0.0061270045 0.0021467293 0.0017025784 0.0037126457 0.00315461 0.0010534348 0.0026022685 0.0016285533 0.004703444 0.0013837008 0.0014007835 0.0029780886 0.003627232 0.0010078808 0.003222941 0.013837008 0.06084867 0.019326257 0.012999955 0.011815552 0.012652606 0.0067647593 0.0067248996 0.004942602 0.011280294 0.0040884656 0.0052273143 0.0037809766 0.007032389 0.003501959 0.005620217 0.009589103 0.01025533 0.004686361 0.0038322248 0.0034222393 0.0059618712 0.004236516 0.0022947795 0.0023801932 0.0044415086 0.0025624088 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005112592 3.7339156e-05 5.170037e-05 5.457261e-05 0.0007123162 0.00046817554 0.0025735295 0.0011632582 4.308364e-05 3.4466913e-05 3.4466913e-05 4.02114e-05 4.5955883e-05 3.7339156e-05 5.170037e-05 2.2977942e-05 0.011727367 0.0016027114 0.0005313649 0.00054859836 0.0017089844 0.0027200137 0.005526195 0.0028751148 0.00061178766 0.0037683824 0.00031020222 0.0003561581 0.0003647748 0.000580193 0.0007151884 0.0013470819 0.0049747243 0.003716682 0.0013298483 0.00097369024 0.0007295496 0.0020076977 0.0018411075 0.001301126 0.0006491268 0.007915901 0.00063763786 0.0005888097 0.00034466913 0.00072667736 0.0009995404 0.000674977 0.0038976332 0.0018095128 0.00073529413 0.0010598575 0.0004049862 0.00038200826 0.00045381434 0.0005888097 0.0011000689 0.0030215993 0.0009966682 0.00085880054 0.00076976104 0.00083869486 0.005612362 0.0009995404 0.007815372 0.018678194 0.009254366 0.003575942 0.004026884 0.007065717 0.0050838697 0.0037827436 0.0038890166 0.015153952 0.0052849264 0.0028262867 0.0043370863 0.0061379825 0.018322036 0.008295037 0.030069508 0.024738627 0.03611558 0.02861328 0.021843405 0.029767923 0.038309973 0.023960248 0.011836512 0.022524128 0.024491614 0.011919807 0.021639476 0.020651424 0.1036937 0.04394244 0.01644359 0.014855239 0.019384766 0.01891659 0.012462661 0.016656134 0.021346508 0.016311467 0.008363971 0.016087431 0.0156767 0.010147633 0.014645565 0.013100299 0.04964384 0.0241929 1022.0 8.634051 8824.0 0.013939257 0.0103127835 0.014732548 0.009972801 0.010766093 0.0050997282 0.016205803 0.0072529465 0.0050997282 0.0061196736 0.0071396194 0.010539438 0.005779692 0.0040797824 0.009519492 0.0050997282 0.0033998187 0.002379873 0.0072529465 0.0071396194 0.004646419 0.006233001 0.01382593 0.0060063465 0.004646419 0.011106075 0.0064596557 0.0052130553 0.009859474 0.009066183 0.0045330916 0.0029465095 0.0024932004 0.0060063465 0.004759746 0.010426111 0.007819583 0.008272892 0.01212602 0.01631913 0.005779692 0.011332729 0.0060063465 0.015979148 0.010992747 0.007026292 0.008839529 0.011559384 0.014505893 0.0037398005 0.013599275 0.01756573 0.0131459655 0.011446056 0.0100861285 0.01835902 0.0100861285 0.007479601 0.01677244 0.009972801 0.0044197645 0.0028331822 0.0050997282 0.0040797824 0.03218495 0.021645512 0.007026292 0.01212602 0.012239347 0.055530373 0.02005893 0.011106075 0.008612874 0.026065277 0.00543971 0.0072529465 0.019492295 0.008952856 0.019605622 0.026745241 0.008839529 0.009066183 0.026065277 0.026405258 0.033204895 0.010539438 0.008726201 0.003173164 0.005893019 0.006912965 0.0033998187 0.0020398912 0.0016999093 0.0014732548 0.0019265639 0.0012466002 6.2387314 0.0 0.0 0.0 4.0 175616.0 3842048.0 0.0 0.0 225.0 1.0 1.0 0.0 0.0 0.0 1236285400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 7.0 10.0 5.0 1.0 5.0 1.0 512.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 -6656.0 152576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.017894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.145899 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.409805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1018524 -5.7907767 7.4123178 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3653632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -364.0 -6252.0 152416.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 1.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -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 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 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 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 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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 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 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -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 -1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -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 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 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 3839946.0 1732.0 152324.0 0.0 0.0 0.0 0.0 24.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 928.0 3833856.0 0.0 0.0 0.0 0.0


Input: 0.30049047 0.0075206812 0.005223946 0.0037769836 0.006316511 0.0024670812 0.002339811 0.0026961672 0.00478927 0.002065691 0.0077341036 0.0013510206 0.0027274953 0.0015057027 0.0010906064 0.0026667973 0.0027294531 0.00096137845 0.0009065544 0.0009163444 0.0017328308 0.002308483 0.0008771844 0.0011219345 0.0015233246 0.0010044544 0.0009261344 0.0006461403 0.0011297665 0.0007068383 0.00079494837 0.0014587106 0.04308581 0.0009457144 0.008391992 0.0008752264 0.004851926 0.0010808165 0.0011258505 0.0017602427 0.0025003671 0.002343727 0.0034225855 0.0010808165 0.0024024672 0.002512115 0.0057682707 0.0038200598 0.002369181 0.002286945 0.001987371 0.0026354692 0.0014665427 0.0013627686 0.0011630525 0.0015468207 0.0015135347 0.0014802486 0.0030446914 0.0031484654 0.0027216212 0.0031719615 0.0028156054 0.0014724167 0.0076166233 0.0018052768 0.0014391306 0.0024455432 0.004303686 0.0051906602 0.0020128249 0.0017641588 0.0012648685 0.0026902931 0.0006265603 0.0011748006 0.0037260756 0.0016584267 0.0017152088 0.0014273827 0.0076362034 0.0013157766 0.002672671 0.0035244017 0.0026687551 0.0018894708 0.002018699 0.0027274953 0.0008850164 0.0011708846 0.0008713104 0.0019305889 0.0013549366 0.0017347888 0.0016075188 0.0021635909 0.0010553625 0.012364776 0.0035968476 0.007937736 0.007918156 0.027382642 0.007886828 0.004340888 0.0077243135 0.014452005 0.0025023252 0.0014802486 0.009650987 0.006535807 0.01321259 0.015593519 0.0070116012 0.0010769005 0.01772774 0.01179304 0.021571295 0.0077654314 0.0033971316 0.0076596993 0.0033207694 0.00428019 0.0025884772 0.0017328308 0.0015037446 0.0025493172 0.0009907484 0.0030583974 0.0029820353 0.0017249988 0.0012374566 0.004736404 0.0016838808 0.0028253952 0.00072641834 0.0014136767 0.003994322 0.0024847032 0.0012217925 0.007890743 0.00084977236 0.0025669392 0.00079690636 0.0013960546 0.0010142445 0.00051103823 0.00048950023 0.0006696363 0.00063243427 0.00060306425 0.00055019825 0.0006167703 0.00065397227 0.00057173625 0.0006304763 0.00059327425 0.0007087963 0.0005991483 0.00075383036 0.0009163444 0.0010024965 0.0010886485 0.0005756523 0.0011728426 0.0007322923 0.0006853003 0.0005345342 0.0016662588 0.00096333644 0.0005991483 0.010034755 0.0006853003 0.0006990063 0.0007420823 0.0006872583 0.0008321504 0.0008576044 0.0011806745 0.0011532626 0.00082040235 0.0009378824 0.00076362037 0.00074795634 0.00095354643 0.0016447208 0.0007283763 0.00063243427 0.0012335406 0.00081061234 0.0007087963 0.0008262764 0.0014626266 0.002694209 0.0010788585 0.0012198346 0.0017465368 0.002187087 0.00073620834 0.0012433305 0.002400509 0.0008517304 0.0009241764 0.00057956827 0.0006931323 0.0059719025 0.0009378824 0.0007029223 0.0008811004 0.00081844436 0.0007225023 0.00077536836 0.0007929904 0.00079494837 0.0006520143 0.00084977236 0.0010808165 0.0008732684 0.00063243427 0.00075383036 0.0010494884 0.0008027804 0.0006480983 0.00053257623 0.00072641834 0.0009809585 0.00074599835 0.0006696363 0.00076362037 0.0007499143 0.00063243427 0.0006480983 0.00077732635 0.0031151795 0.0020852708 0.0006931323 0.0014352147 0.0014626266 0.00079494837 0.00092026044 0.0006990063 0.0014332567 0.0008576044 0.0008908904 0.0009163444 0.0010377405 0.00096333644 0.0012707426 0.0028782613 0.0024455432 0.00097312644 0.0011258505 0.0013784326 0.0017622008 0.0010044544 0.001961917 0.02400509 0.054263078 1.9649144e-06 9.824573e-06 0.0 3.929829e-06 9.824572e-07 3.3403547e-05 9.824573e-06 0.0 0.0 9.824572e-07 0.0 0.0 0.0 9.824572e-07 9.824572e-07 0.0058171293 1.9649146e-05 1.3754401e-05 1.768423e-05 2.0631602e-05 1.2771944e-05 4.224566e-05 2.2596516e-05 3.536846e-05 2.9473717e-06 1.9649144e-06 2.9473717e-06 5.8947435e-06 9.824573e-06 2.9473717e-06 7.859658e-06 0.011075241 5.2070234e-05 5.2070234e-05 0.000116912415 0.000101193094 7.957904e-05 0.00022301779 0.00011985978 7.7614124e-05 1.3754401e-05 7.859658e-06 1.4736858e-05 4.322812e-05 2.3578974e-05 2.0631602e-05 5.1087776e-05 0.027777996 0.00011396504 0.00035368462 0.00020140373 0.00034386004 0.00034778987 0.0012860366 0.00070736924 0.00018666688 4.322812e-05 2.849126e-05 2.0631602e-05 8.9403606e-05 4.1263203e-05 3.536846e-05 0.0006160007 0.024507396 0.00017389494 0.00039887763 0.00028294767 0.00030259683 0.00020042127 0.00093431683 0.00053347426 0.00038021096 6.287726e-05 5.8947433e-05 0.00012771944 0.00014835104 5.010532e-05 0.00011003521 0.0019089144 0.020230759 0.0001974739 0.0008370536 0.0005717901 0.000333053 0.00031143895 0.0014353701 0.000850808 0.0002917898 6.778955e-05 6.877201e-05 6.680709e-05 0.000101193094 8.3508865e-05 0.00011003521 0.0005992989 0.013275945 0.00022694762 0.00040477238 0.0004922111 0.0002917898 0.0002436494 0.00083214126 0.00050007075 0.00027508804 5.4035147e-05 0.00044603558 0.00017094756 8.645624e-05 9.333344e-05 9.235098e-05 0.0006228779 0.029889297 0.00041263204 0.003010249 0.00075452717 0.00094512384 0.0007604219 0.007955939 0.003912145 0.00047649175 9.235098e-05 0.00065136916 0.00010905275 0.000229895 0.00010414047 0.00014147384 0.00085670274 0.053426024 0.00076435175 0.050125953 0.008688852 0.010079029 0.0069086393 0.08369848 0.046931982 0.0016721422 0.00024463184 0.00093726424 0.00033207054 0.0004912286 0.0002092634 0.00032912317 0.0027665996 0.027825154 0.0017910196 0.011923101 0.004675514 0.0032303194 0.0029424594 0.020268094 0.014039314 0.0026487047 0.00022203533 0.0033678634 0.0006503867 0.00084393076 0.00013459664 0.0005442813 0.0034847758 0.022067955 0.001353826 0.002382459 0.002262599 0.002101476 0.0019265986 0.007434254 0.006617832 0.002157476 0.00024070202 0.0031055473 0.0012437908 0.0011534048 0.00036842146 0.00043915838 0.0034946003 0.0086181145 0.0004804216 0.0009294046 0.0024011256 0.0014579665 0.00090189575 0.002514108 0.0050223214 0.0021790902 0.00023677219 0.003764776 0.00077810616 0.0004912286 0.00020336865 0.00035957934 0.0038669517 0.012744435 0.001355791 0.0016318614 0.0009637906 0.0043306714 0.0030259683 0.0021928446 0.0018578266 0.0056903926 0.00033698283 0.0003605618 0.0010777556 0.0019187389 0.0003104565 0.0017664582 0.004701058 0.029368594 0.004776707 0.005742463 0.0031684246 0.009281274 0.0094758 0.0034189513 0.0055508832 0.013880156 0.00070442184 0.0014638613 0.0019207039 0.009938537 0.0014609139 0.0038237236 0.008700642 0.0042618997 0.0009077905 0.0013636507 0.001400984 0.0013056857 0.0011583171 0.0021584586 0.0019845637 0.0017782476 0.0005835796 0.0005963516 0.00064940425 0.0012889839 0.0006916499 0.000700492 0.0013027383 0.0090828175 0.0071090604 0.0069282884 0.008194676 0.00677306 0.007886184 0.009061203 0.009395239 0.006918464 0.007629763 0.0078793075 0.008340079 0.008053202 0.008737975 0.008741905 0.012065558 3893.0 35.81788 139439.0 0.13187128 0.0009394789 0.028005077 0.00020797625 0.0005737276 0.00080321863 0.0013339167 0.003915691 0.0058950507 0.0058663646 0.009050553 0.0006311003 0.005880708 0.005428897 0.015634077 0.011123143 0.0031841882 0.0041523534 0.0033706496 0.0014988633 0.0018144135 0.00088210613 0.0015347212 0.0013482599 0.0010685676 0.0014271473 0.0078098667 0.006404234 0.0063612047 0.007630577 0.006052826 0.0010470528 0.0009753369 0.003399336 0.0030694425 0.0052424357 0.004984258 0.0048479983 0.0025459162 0.003987407 0.0011187688 0.0059667667 0.00035857974 0.001326745 0.008412281 0.0024096558 0.0023451115 0.0020869342 0.0077668373 0.0005163548 0.003664685 0.0061604 0.004245584 0.0018502715 0.0013410882 0.003341963 0.0006526151 0.0011904847 0.00043029568 0.0025889457 0.0005378696 0.002459857 0.0004087809 0.0019219874 0.00040160932 0.036625333 0.010068919 0.02243992 0.023228796 0.084617645 0.011051428 0.011524753 0.018459685 0.043101285 0.0011259404 0.0024024842 0.026570758 0.018129792 0.038963273 0.04334512 0.01838797 0.0012765438 0.05481967 0.034775063 0.059294745 0.018323425 0.008770861 0.010040233 0.0055292994 0.011338292 0.0032487325 0.0036216553 0.00036575133 0.0025602593 0.00017211828 0.0005163548 5.276661 0.0 51.0 0.0 10.0 510725.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 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 -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 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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