Input: 0.026140621 0.0038513425 0.0038757357 0.004028094 0.003990704 0.003958113 0.0038303481 0.003801956 0.0038755357 0.003711181 0.00375157 0.0038077545 0.0038009563 0.0037523697 0.003721578 0.0037659658 0.003710781 0.0037525694 0.0037327749 0.004101874 0.0037843608 0.0037721642 0.0037187787 0.0036573957 0.0037227778 0.0036577955 0.0037407728 0.0036891869 0.0037335746 0.0036809891 0.0037209783 0.0037187787 0.003746771 0.00367759 0.0047203037 0.0037485706 0.0037463713 0.003795158 0.0037405728 0.0037625667 0.0037993568 0.0037647663 0.0038389459 0.0038067547 0.0038217506 0.0037821615 0.0037525694 0.0037187787 0.0037113808 0.0037281762 0.0037013837 0.003888932 0.0037865601 0.0036869876 0.0036645937 0.0036390007 0.0037007837 0.003732575 0.0036296034 0.0037329749 0.0036987844 0.003674991 0.0037057824 0.0037135803 0.0038755357 0.0036983844 0.0037171792 0.003717979 0.0036831887 0.0037505701 0.0036971848 0.003696185 0.0036835885 0.0036737912 0.0037023833 0.0036691925 0.003666993 0.003775763 0.003732575 0.0037583678 0.0037159796 0.0036501978 0.0037083817 0.0036951853 0.0036410003 0.0037207783 0.0036969848 0.0036839885 0.0036971848 0.0037447717 0.0036404002 0.0037239774 0.0036937858 0.0036765905 0.0037327749 0.0036841882 0.0037051826 0.00371378 0.003717979 0.0037061824 0.0037683651 0.00378776 0.004134065 0.0036971848 0.00378776 0.003721978 0.0038193513 0.003717979 0.00382415 0.0036845882 0.0037957577 0.0037025833 0.003783161 0.0036785898 0.0038107536 0.0037903592 0.0038443443 0.0038803346 0.0036931857 0.003813353 0.0037101812 0.0037157796 0.0036527968 0.0037767629 0.0037277765 0.0036621944 0.0037901592 0.0036827887 0.0037629667 0.0037859604 0.003739573 0.0038661384 0.0037011837 0.0037039828 0.003703783 0.003732575 0.0037661658 0.003746971 0.0036845882 0.003831548 0.00371458 0.0037433722 0.0037457715 0.0037281762 0.0036953853 0.0036835885 0.003729376 0.0036933857 0.0037817615 0.0036981844 0.0037573683 0.0037335746 0.0037593676 0.0037633665 0.0037059824 0.003711181 0.004134665 0.0037015835 0.0037011837 0.0036983844 0.0037409728 0.0037011837 0.0036807891 0.0036947855 0.0037009837 0.0037665658 0.0037163794 0.0037191787 0.0037115808 0.0036921862 0.0037267767 0.0037461712 0.003700184 0.003674791 0.0036809891 0.003725577 0.0036943855 0.0037371737 0.003732375 0.0036709919 0.0037267767 0.0037385733 0.0037113808 0.0037093814 0.00378736 0.0037375737 0.0037433722 0.0037683651 0.0037413726 0.003762167 0.0037201785 0.003793958 0.0038221504 0.0036356016 0.0036529968 0.003623805 0.003594213 0.0036451991 0.0036559962 0.0037971572 0.0037719642 0.0037895595 0.0037779626 0.003764966 0.0038251495 0.0037703647 0.0038327475 0.0038865327 0.003776163 0.003743772 0.003765366 0.00382355 0.0038179515 0.0037627667 0.0037791622 0.0038287486 0.0037671656 0.0037237774 0.0038177515 0.0037583678 0.0037747636 0.0037687651 0.003780162 0.0037721642 0.00378796 0.0037465713 0.0037593676 0.0037609672 0.0037561685 0.003776363 0.0037059824 0.0037415726 0.0038101538 0.0037505701 0.0037451715 0.0037557688 0.0037971572 0.003827149 0.0037403728 0.003711181 0.0038095538 0.003801356 0.0037615672 0.0038047552 0.003831348 0.0038553413 0.003845144 0.0037935583 0.0038881323 0.0037797622 0.00382415 0.0037809617 0.003849543 0.0038489432 0.0040306933 0.019875143 0.00020479213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009714627 1.2999501e-06 3.89985e-06 5.2997966e-06 0.0 0.0 0.0 2.5999002e-06 4.399831e-06 9.999616e-08 0.0 2.0999194e-06 7.9996926e-07 0.0 9.999616e-07 3.099881e-05 0.000912465 2.499904e-06 7.899696e-06 6.899735e-06 9.999616e-08 3.9998463e-07 9.999616e-08 8.999654e-07 4.4998274e-06 7.899696e-06 5.1998004e-06 5.599785e-06 2.5999002e-06 9.599631e-06 7.9996926e-07 5.649783e-05 0.0008728665 8.099689e-06 2.9998848e-06 1.6999347e-06 2.2999118e-06 5.9997694e-07 4.999808e-07 2.1999156e-06 7.899696e-06 3.9998463e-06 1.2999501e-06 3.099881e-06 5.8997734e-06 8.59967e-06 2.6998964e-06 9.919619e-05 0.0009500635 1.3199493e-05 0.0001247952 2.5999002e-06 1.6999347e-06 1.899927e-06 8.999654e-07 5.699781e-06 4.5998236e-06 1.2899504e-05 3.199877e-06 3.6998579e-06 7.1997233e-06 6.4997503e-06 1.5499405e-05 0.0002790893 0.0020933195 2.6998963e-05 0.000130295 6.2997583e-06 4.1998387e-06 3.89985e-06 5.599785e-06 4.299835e-06 9.099651e-06 2.499904e-05 2.0199224e-05 1.5399408e-05 3.199877e-05 5.5697863e-05 4.529826e-05 0.00038948504 0.00019939234 1.8899274e-05 0.00012269529 7.699704e-06 3.099881e-06 4.5998236e-06 4.999808e-07 1.5999385e-06 3.9998463e-07 1.5999385e-06 2.499904e-06 1.4999424e-06 2.499904e-06 4.8998118e-06 3.89985e-06 3.37987e-05 0.00062807585 1.9599247e-05 0.0002498904 3.4998655e-05 1.3999463e-05 3.859852e-05 1.509942e-05 1.249952e-05 2.9198878e-05 1.5999385e-05 1.1499558e-05 6.6997427e-06 8.399677e-06 1.0299605e-05 1.3999463e-05 0.0001198954 0.0009608631 4.1998388e-05 0.00058237766 1.8899274e-05 3.0798816e-05 2.029922e-05 1.4899428e-05 1.29995005e-05 2.0199224e-05 2.629899e-05 5.259798e-05 5.179801e-05 3.2298758e-05 8.0696904e-05 2.7498943e-05 0.0008925657 0.0015927388 4.029845e-05 0.00046648207 7.709704e-05 0.00011299566 9.749625e-05 0.00049618096 0.000182293 7.3897165e-05 0.00014699435 7.109727e-05 7.849699e-05 6.0797665e-05 0.00010959579 0.000121695324 0.0009820623 0.0029798856 0.00010729588 0.00036238608 0.00022449138 0.00020419215 0.00022839123 0.0007421715 0.00048488137 0.00017009347 0.00028808895 0.000182593 0.00038198533 0.00027938926 0.00028618902 0.00039158497 0.0031307798 0.0050696055 0.00038118535 0.00069917314 0.00051968003 0.00041228416 0.0002993885 0.00067047426 0.000599277 0.00048748127 0.00047068193 0.00033288723 0.0006278759 0.0005186801 0.00092806434 0.0008280682 0.0057912776 0.0046778205 0.0009812623 0.00052267994 0.0004220838 0.00045958234 0.00039168497 0.00045788242 0.0006118765 0.0007345718 0.00087696634 0.0006021769 0.0007734703 0.0007781701 0.00094586366 0.0007421715 0.0052721975 0.002946287 0.0005267798 0.00042298375 0.00034158689 0.00036218608 0.00023759088 0.00027388948 0.0004528826 0.0005754779 0.00044368298 0.00037888545 0.0003152879 0.00049808086 0.00054737896 0.0003851852 0.0023506097 0.0008538672 0.0001980924 0.00011849545 0.00017439331 0.0003357871 0.00028938887 0.00018829278 0.00023049115 0.000389985 3.9698476e-05 9.019654e-05 5.809777e-05 0.00016589362 7.9896934e-05 0.00020409217 0.00047438178 0.057682086 0.05753219 0.057410095 0.05755609 0.05755949 0.057494894 0.057418596 0.057410397 0.057448596 0.05759189 0.05763079 0.057458293 0.057459593 0.057393696 0.057393197 0.057486393 21807.0 5.8304214 127144.0 0.0103347385 0.009634745 0.025121123 0.010216762 0.01001227 0.010130246 0.010028 0.009540364 0.009886428 0.010051595 0.009972944 0.010232492 0.010051595 0.010028 0.010342604 0.010185301 0.009697665 0.010185301 0.010240357 0.0103268735 0.0114909075 0.009390927 0.010153841 0.009847103 0.010208897 0.009870698 0.009697665 0.010263952 0.009972944 0.009902158 0.010138111 0.009886428 0.010971812 0.010303278 0.010161706 0.010963947 0.010657208 0.010649342 0.010476311 0.011121248 0.010240357 0.009634745 0.010366199 0.009925754 0.01041339 0.010405525 0.010539231 0.010507771 0.010484176 0.009619014 0.010232492 0.010020135 0.009831373 0.0103111435 0.009681935 0.010735858 0.0108931605 0.010083055 0.009933619 0.010263952 0.009516768 0.010531366 0.01046058 0.009430252 0.009917889 0.01087743 0.009957214 0.010531366 0.010578557 0.012568426 0.010617882 0.010035865 0.010452715 0.011325741 0.009878563 0.010122381 0.011011137 0.010287548 0.010602152 0.011152709 0.01007519 0.0097055305 0.011467312 0.011074058 0.011577424 0.010263952 0.009957214 0.010145976 0.0103347385 0.010098786 0.009587554 0.009949349 0.010114516 0.009556094 0.009972944 0.009792047 6.572338 1.0 0.0 0.0 77.0 5001373.0 626688.0 0.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1195662300.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 25088.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 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 -25088.0 0.0 367104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.998499 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3495554 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4943748 0.0 5.354401 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6594.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25064.0 0.0 366872.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 35560.0 366872.0 258048.0 0.0 0.0 3224.0 5366848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.3321375 0.0043869414 0.0024945354 0.0034508582 0.036077153 0.0017810881 0.0022971989 0.0025198348 0.002459116 0.0018266273 0.0017608484 0.0016090511 0.002287079 0.001836747 0.0019683046 0.0039517893 0.0025046552 0.015139249 0.0017962678 0.01732007 0.0019733647 0.0016444705 0.0023629777 0.0017102493 0.0020745627 0.0016950696 0.0016292908 0.0017456687 0.0019936042 0.001897466 0.0019430051 0.0018013277 0.014334723 0.0018772264 0.0018013277 0.0017912079 0.0016394106 0.0017153092 0.0016394106 0.0017001295 0.0018215673 0.0017456687 0.0015888115 0.001619171 0.0017254291 0.0014218346 0.0017406088 0.001619171 0.0022415398 0.002170701 0.0021555214 0.0021352817 0.002459116 0.0020796228 0.0025400745 0.0023224985 0.0024844154 0.0015989314 0.0016596502 0.0015331525 0.0019126458 0.0015837516 0.0016141111 0.0014623138 0.002464176 0.0023073186 0.0020239637 0.0024844154 0.0023579178 0.003799992 0.0024236965 0.0025046552 0.002398397 0.0019328854 0.0014926733 0.0015230327 0.0022111803 0.0024085168 0.0018063877 0.001730489 0.002838609 0.0019834845 0.0020391433 0.0029802865 0.0020239637 0.0026109132 0.002120102 0.0029094478 0.0018620467 0.0012700373 0.0020695028 0.00167483 0.0015938714 0.0017456687 0.0015483323 0.001786148 0.0020239637 0.0039821486 0.00167483 0.016576262 0.0038910704 0.006527283 0.0017203692 0.0023275584 0.0025552541 0.0034812177 0.0016798899 0.0016343507 0.003678554 0.0020745627 0.0032585815 0.0042047845 0.0028082498 0.0016343507 0.0040985267 0.0037595127 0.005186407 0.0027829502 0.0019632448 0.0019885444 0.0022718993 0.0019177056 0.001619171 0.001730489 0.001836747 0.00223648 0.001558452 0.0017456687 0.035925355 0.003116904 0.0017709683 0.0026868118 0.0020846827 0.0027981298 0.0015533922 0.0017709683 0.001558452 0.0017709683 0.002125162 0.0025552541 0.0015786918 0.0026868118 0.0016495305 0.0016545904 0.0151291285 0.0015786918 0.0015078529 0.0021403416 0.0015888115 0.001841807 0.0016596502 0.0016647101 0.0019227655 0.0016090511 0.0016039913 0.0016444705 0.0016444705 0.0018468669 0.0017102493 0.0016900097 0.0019733647 0.0016242309 0.0015989314 0.0017709683 0.0015179728 0.0015888115 0.0015938714 0.001558452 0.0017456687 0.0014977332 0.0016343507 0.0024135767 0.0015989314 0.0016394106 0.0014572539 0.0015230327 0.0017760282 0.0015736318 0.001502793 0.0016242309 0.0015938714 0.0020442035 0.0016900097 0.0018063877 0.0018721664 0.0016039913 0.0014876133 0.0016900097 0.0016545904 0.0016394106 0.0015280927 0.0016141111 0.0019733647 0.002059383 0.0024439362 0.002170701 0.002732351 0.0022111803 0.0016090511 0.0037898722 0.0018822863 0.003005586 0.0015685719 0.0014572539 0.0016090511 0.0014926733 0.0017153092 0.0016849498 0.0019784246 0.0016900097 0.0014926733 0.0017153092 0.001730489 0.0017051895 0.0017001295 0.0015230327 0.0024338164 0.0022718993 0.0016647101 0.001730489 0.002013844 0.0018721664 0.0015230327 0.0016292908 0.002125162 0.0018316872 0.0014825534 0.0016950696 0.0018114476 0.0014977332 0.0015533922 0.0018266273 0.0028082498 0.0019733647 0.0014167746 0.0017001295 0.0024692358 0.0016292908 0.0017659083 0.0016596502 0.0021909408 0.0019177056 0.0023073186 0.0021504615 0.0016394106 0.0019430051 0.0017912079 0.0035014572 0.0024995953 0.001735549 0.0016141111 0.0017102493 0.0024844154 0.0016343507 0.0022061204 0.012675073 0.23958333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004211426 7.6293945e-06 0.00027211508 8.138021e-05 2.7974447e-05 2.0345053e-05 7.6293945e-06 1.2715657e-05 0.0003077189 1.2715657e-05 0.0 2.5431316e-06 7.8837074e-05 1.780192e-05 3.0517578e-05 0.00011698405 0.008082072 8.646647e-05 6.1035156e-05 8.646647e-05 8.138021e-05 7.6293945e-05 7.120768e-05 7.6293945e-05 8.138021e-05 6.612142e-05 7.120768e-05 8.138021e-05 6.612142e-05 0.0012257894 0.00011698405 8.646647e-05 0.0029271443 0.0 0.0 2.5431316e-06 0.00034077963 0.0001373291 0.0012512207 0.0005493164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037892659 4.83195e-05 6.3578285e-05 0.00013987224 0.00016784668 8.392334e-05 3.8146973e-05 5.8492024e-05 0.00012715657 2.5431314e-05 1.780192e-05 1.780192e-05 0.0001449585 2.7974447e-05 8.646647e-05 0.0003712972 0.012931824 0.0002339681 0.00019582112 0.0002924601 0.0043258667 0.002629598 0.013117473 0.0059890747 0.0007247925 0.00017801921 0.00014750163 0.00018310547 0.0002009074 0.00016276042 0.00017547607 0.00017801921 0.002337138 0.0266215 0.00062561035 0.00036875406 0.00088500977 0.0008748372 0.013043721 0.001314799 0.00042978922 0.012158711 0.00044759116 0.0004272461 0.00034332275 0.00045013428 0.00032552084 0.0018463135 0.0037587483 0.0016708374 0.0006866455 0.00021362305 0.00015513103 0.00018819173 0.00084940594 0.00015258789 0.0008036296 0.00082651776 5.340576e-05 7.8837074e-05 0.00019582112 5.8492024e-05 0.00012207031 0.00060272217 0.030387878 0.0006866455 0.010968526 0.0038909912 0.0023269653 0.0021998088 0.003171285 0.0019302368 0.013071696 0.0005950928 0.0005086263 0.00069936115 0.0032221477 0.0005874634 0.0019836426 0.0071029663 0.0060221353 0.0021896362 0.0009816488 0.0010197958 0.0007375081 0.00062561035 0.001914978 0.00090026855 0.0013809204 0.0010274252 0.00020345052 0.0002822876 0.0006866455 0.00018056233 0.000445048 0.0022354126 0.06502279 0.009386699 0.007939656 0.008847554 0.008323669 0.0072402954 0.008430481 0.008509318 0.031504314 0.0068333945 0.0062306724 0.006327311 0.009048462 0.0063832602 0.007926941 0.01037852 0.002418518 0.0005187988 0.00034332275 0.00034332275 0.00055185956 0.00064086914 0.00086466473 0.00046539307 0.0006510417 0.0004043579 0.0005162557 0.00030517578 0.0005849202 0.00055185956 0.00026957193 0.000986735 0.019752502 0.018058777 0.017837524 0.016822815 0.017944336 0.018363953 0.01817576 0.019037882 0.018554688 0.01886495 0.018676758 0.01842753 0.01900228 0.019162497 0.017888388 0.020304361 878.0 10.8758545 9549.0 0.0061786575 0.001256676 0.0029322442 0.002618075 0.0013613991 0.0020944602 0.0010472301 0.001256676 0.0023039063 0.0011519531 0.0030369672 0.0021991832 0.0013613991 0.0020944602 0.004921981 0.002618075 0.0020944602 0.0031416903 0.0040841973 0.0032464133 0.0030369672 0.0028275212 0.0034558591 0.0031416903 0.0035605822 0.0023039063 0.0020944602 0.0019897372 0.0033511363 0.0037700282 0.002618075 0.0027227981 0.002618075 0.011938423 0.0035605822 0.016127342 0.013090376 0.010367578 0.016127342 0.018745419 0.012985653 0.010891193 0.0016755682 0.0031416903 0.012776207 0.010262854 0.005131427 0.0028275212 0.013613991 0.0038747513 0.00523615 0.024924075 0.0069117183 0.002618075 0.0037700282 0.024400461 0.0027227981 0.0017802911 0.001256676 0.0017802911 0.0020944602 0.0016755682 0.0017802911 0.0038747513 0.0021991832 0.04524034 0.0056550424 0.031835794 0.02890355 0.10042936 0.0063881036 0.015917897 0.014137606 0.041051418 0.0020944602 0.0054455963 0.041051418 0.013299822 0.034977484 0.05047649 0.014242329 0.0023039063 0.047125354 0.034244422 0.064299926 0.014347052 0.0045030895 0.008063671 0.009843962 0.009529794 0.0015708451 0.0015708451 0.0019897372 0.0030369672 0.0011519531 0.002618075 5.566462 0.0 0.0 0.0 3.0 197632.0 258048.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 0.0 1202814100.0 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 8.0 1.0 7.0 4.0 10.0 0.0 4.0 0.0 57344.0 1024.0 4096.0 5.0 0.0 0.0 3.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53760.0 0.0 0.0 0.0 0.0 0.0 78848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.407347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6617548 0.0 0.0 0.0 0.0 0.0 5.8335123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.430885 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 122880.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 249856.0 1256.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.056721427 0.008304109 0.0061827423 0.005660432 0.005755774 0.004962982 0.0042023165 0.0054251854 0.0050552157 0.0056262333 0.003757731 0.004471762 0.004956764 0.0031711685 0.0043194215 0.0046386113 0.005035525 0.0037722397 0.0049298196 0.0041650087 0.004352584 0.0031763501 0.0041049016 0.003848928 0.005072833 0.0033566714 0.0031597689 0.0029286675 0.0041494635 0.0034354324 0.0037867483 0.003788821 0.0061744517 0.0038199108 0.0034862126 0.003028155 0.0049070204 0.004162936 0.0038447827 0.0037193869 0.0047215177 0.0038955628 0.0033317995 0.0030965528 0.0043691653 0.0037245685 0.0037256049 0.003590882 0.0055163824 0.0039473795 0.0031058798 0.0029006866 0.0036800064 0.0030696082 0.0026882389 0.0028623422 0.0041660448 0.0033090003 0.0035245568 0.0033566714 0.0040023047 0.0032250576 0.0035069392 0.003449941 0.006602456 0.0039421977 0.0036209356 0.0032209123 0.004157754 0.0032219486 0.0035515015 0.0030664993 0.0049971812 0.0037774213 0.003700733 0.003590882 0.0041245916 0.00312557 0.0035546105 0.0034613407 0.005166103 0.0036323352 0.0036592798 0.0033452718 0.003927689 0.0033763617 0.0033608167 0.0035328474 0.004647938 0.0036406259 0.0038074749 0.0035038302 0.004110083 0.003386725 0.0036862243 0.003785712 0.005914333 0.003631299 0.0033380175 0.002949394 0.0040023047 0.0030447363 0.0032644381 0.0030323004 0.0049723093 0.0031618415 0.0032022584 0.0030457727 0.003578446 0.0028343613 0.0030830805 0.0031939677 0.004503888 0.0032872374 0.0032271303 0.0031421513 0.0038924539 0.0033317995 0.0032903464 0.0036261172 0.0046261754 0.0032903464 0.0034862126 0.0031732412 0.0040396126 0.0031867134 0.003471704 0.0033400902 0.008642988 0.0045950855 0.0040105954 0.003522484 0.004363984 0.0034333598 0.003021937 0.0033856886 0.0045391237 0.0038416737 0.0029576847 0.003191895 0.0037359681 0.0028001624 0.0028447246 0.0029815203 0.0052303555 0.003204331 0.0034934669 0.003028155 0.0036572071 0.0031773865 0.0033090003 0.0032644381 0.004538087 0.0028405793 0.0030385184 0.0027068928 0.0035214478 0.0032281666 0.0029815203 0.003150442 0.0050085806 0.0034105605 0.0032727288 0.002796017 0.0037753487 0.0030074285 0.003053027 0.0031836045 0.0041391 0.0030043195 0.0031214247 0.0030126101 0.0036447712 0.0028374703 0.0029162315 0.0030323004 0.004660374 0.003113134 0.0038385647 0.0028571605 0.0035649738 0.0031525146 0.0029887746 0.003116243 0.0042499877 0.0031494056 0.0033380175 0.0031825681 0.0036520255 0.0031991494 0.0033328359 0.0033421628 0.006716452 0.0040634484 0.0037193869 0.0033380175 0.004113192 0.0032571838 0.003301746 0.0032209123 0.0043318574 0.0033297269 0.0031120977 0.0030830805 0.0036478802 0.0029887746 0.0030841168 0.0027897991 0.004242733 0.0032820557 0.0030882622 0.0030001742 0.0037152416 0.0030260824 0.0029348854 0.0029483577 0.003981578 0.0031110614 0.0027224377 0.002641604 0.003538029 0.002949394 0.003581555 0.0028882504 0.004958837 0.0032333483 0.00340227 0.002971157 0.0038074749 0.003071681 0.003198113 0.0029100135 0.00444689 0.0054500573 0.0034644497 0.003128679 0.0037898573 0.0030882622 0.0032520022 0.003195004 0.004612703 0.0033162546 0.0034209238 0.0030416274 0.0037359681 0.0030924075 0.0033100366 0.0032395662 0.0043505114 0.003028155 0.0031939677 0.0028644148 0.0040095593 0.0030934438 0.0042271884 0.004518397 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 0.099234216 0.062020022 0.0624808 0.055324703 0.060594093 0.059570312 0.054925155 0.054473713 0.060462296 0.053141188 0.052114815 0.052946605 0.05640816 0.050551377 0.056669164 0.05382302 4027.0 5.703998 22970.0 0.017239878 0.010491946 0.009316499 0.008663474 0.013408794 0.012451023 0.011841533 0.011493252 0.012625163 0.00975185 0.008445798 0.008619939 0.013887679 0.010535481 0.011841533 0.009969525 0.016717458 0.012015672 0.008707009 0.007575098 0.00983892 0.008532869 0.007879843 0.008358729 0.010361341 0.008445798 0.009621245 0.008881149 0.011536787 0.009011755 0.009621245 0.00914236 0.01802351 0.010883762 0.010361341 0.009098824 0.010840226 0.00879408 0.010709621 0.008271659 0.01423596 0.011623858 0.009708315 0.0089246845 0.011406182 0.009316499 0.011667392 0.009534175 0.014801916 0.00957771 0.010013061 0.009098824 0.012015672 0.009360035 0.009534175 0.009795385 0.013670004 0.009272965 0.010491946 0.009534175 0.0111449715 0.00983892 0.0104048755 0.010666086 0.017936438 0.010970832 0.00966478 0.0081845885 0.013060514 0.008228123 0.009360035 0.008358729 0.015411406 0.009272965 0.008881149 0.008707009 0.011362647 0.008053984 0.00992599 0.007836308 0.0132346535 0.007966913 0.008663474 0.00879408 0.011493252 0.009534175 0.008228123 0.007836308 0.010927296 0.008881149 0.012015672 0.008576404 0.011406182 0.008968219 0.010056595 0.008750544 6.5545244 0.0 0.0 0.0 14.0 964944.0 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: 0.04582349 0.0041373223 0.00241614 0.003056121 0.0040090443 0.0022836328 0.0026945458 0.0025218637 0.0044072703 0.0021638125 0.0021835477 0.0021412582 0.004023846 0.002226542 0.0019495458 0.0038983868 0.0035910832 0.0018001229 0.0017719299 0.0018466414 0.0026029185 0.0020313056 0.0018938646 0.0016774834 0.002411911 0.0018156291 0.0017176584 0.001747261 0.002117999 0.0017331645 0.001707086 0.0017247066 0.015167833 0.0015118495 0.0020242573 0.0017331645 0.002786173 0.0014618069 0.0013377578 0.001276438 0.0013983727 0.0013032213 0.0012665704 0.0017444418 0.001316613 0.004212739 0.0051198485 0.010657658 0.02091568 0.032679208 0.01844104 0.018515047 0.018224658 0.01708848 0.017483182 0.017588202 0.020625997 0.019922582 0.02838612 0.0020587938 0.0200713 0.0015210123 0.019964166 0.0016189829 0.0022371144 0.01832404 0.018316992 0.018212676 0.022220312 0.023506617 0.018207038 0.0013560832 0.0015174882 0.0011164427 0.000994508 0.000853543 0.0011974976 0.0032266886 0.0010410264 0.0009987369 0.0033599006 0.0014991626 0.0011291296 0.0018839971 0.001255998 0.0019093708 0.0020785287 0.0016507 0.0010600567 0.0018825874 0.00094728475 0.0010382072 0.00092050136 0.0016838268 0.0014061257 0.001255998 0.00086552504 0.003901911 0.0032400803 0.0033352317 0.034016967 0.0047054114 0.02138157 0.0010861353 0.0029828192 0.027013825 0.002669877 0.0009176821 0.020018438 0.004988751 0.0015752837 0.005403893 0.0066669392 0.000797157 0.020420188 0.0026712865 0.005346802 0.009805525 0.0011425213 0.0009839357 0.004916154 0.0010360926 0.00074147584 0.0008112535 0.0010382072 0.0019312204 0.0011946782 0.0012524739 0.0015964285 0.0010861353 0.00086270575 0.004610965 0.0014357284 0.003148453 0.0008873746 0.0007266745 0.0011657805 0.0038215609 0.0010304541 0.009030217 0.0009529233 0.004400222 0.0007985667 0.0008775071 0.00082816934 0.0007238552 0.0007153973 0.0007675544 0.0009233207 0.00085495267 0.0006977767 0.0006547824 0.00089230837 0.0006935478 0.00071962626 0.00073865656 0.0008570671 0.00072103593 0.0007548675 0.00089371804 0.000990279 0.00078094605 0.00066817406 0.000728789 0.0008789167 0.0008803264 0.00073513243 0.0008288741 0.0010501891 0.00073654205 0.00084367546 0.00080913905 0.0010071949 0.0008239404 0.00072737935 0.00078094605 0.0011397019 0.00067099335 0.0007753074 0.0007548675 0.0009233207 0.0011404068 0.0011368827 0.0012870104 0.0013828665 0.000797157 0.0007865846 0.00076191575 0.00087398296 0.00095644745 0.00080279564 0.00085777196 0.002504243 0.0012263954 0.0012693898 0.0017458514 0.0015513197 0.00080138596 0.0016795979 0.0018818827 0.0012954683 0.0011805817 0.0007471144 0.0007633254 0.0016915799 0.0007865846 0.0012454257 0.0009930984 0.0017056764 0.0011897446 0.0009881646 0.00087821187 0.0013159082 0.00084508513 0.0008147776 0.0008669347 0.0012031362 0.00093107374 0.0007753074 0.0010678098 0.0011326537 0.0009790019 0.00070200564 0.00084085617 0.0014047162 0.00083733205 0.000768964 0.00086270575 0.0010685147 0.000756982 0.0007661447 0.00077883154 0.006014976 0.0016852365 0.00080138596 0.0020912157 0.0017775685 0.00082816934 0.00078235567 0.00070552976 0.0016753689 0.0009416461 0.00089230837 0.0009338931 0.0014526442 0.0008239404 0.0016380132 0.0011657805 0.0017606528 0.00094094133 0.001038912 0.0014639214 0.0023851276 0.0015196026 0.0029440538 0.033008363 0.0050578034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000692555 5.64487e-06 1.7640218e-06 7.056087e-07 9.172913e-06 7.0560873e-06 1.7640218e-06 0.0 0.0 1.0584131e-06 0.0 2.822435e-06 0.0 0.0 0.000676326 3.1752393e-06 1.0936936e-05 9.525718e-06 5.64487e-06 2.1168262e-06 1.7640218e-06 1.0584131e-06 7.056087e-07 0.0 3.5280436e-07 0.0 7.056087e-07 3.5280436e-07 7.056087e-07 9.172913e-06 0.0 0.0 0.000627639 1.0584131e-05 4.5864567e-06 2.1168262e-06 2.8224349e-05 1.9051437e-05 6.3504785e-06 7.056087e-07 0.0 8.114501e-06 0.0 1.5170588e-05 0.0 0.0 0.00061458524 3.1752393e-06 3.5280436e-06 5.821272e-05 4.5864567e-06 4.2336524e-06 4.939261e-06 3.1752393e-06 4.2336524e-06 3.1752393e-06 4.2336524e-06 4.2336524e-06 3.880848e-06 3.1752393e-06 1.7640218e-06 1.4112175e-06 0.00059130014 1.1642544e-05 1.1995348e-05 2.575472e-05 1.1995348e-05 1.128974e-05 1.7993023e-05 5.2920655e-06 1.0231327e-05 2.4696305e-06 7.0560873e-06 2.822435e-06 3.5280436e-06 1.0584131e-06 3.1752393e-06 4.939261e-06 0.002954031 0.00033481134 0.0046739522 0.021962779 0.0014482619 2.4343502e-05 0.023717979 0.0041796733 3.2810807e-05 1.5876196e-05 3.4927634e-05 2.0462654e-05 1.7993023e-05 2.1168262e-05 2.504911e-05 0.0005069799 0.009417407 0.00037291422 0.021352427 0.22355485 0.10159108 0.00013230163 0.088071264 0.029327922 8.678988e-05 0.00017534377 0.000119247874 6.6680026e-05 0.00023143967 0.00022014993 6.3857595e-05 0.001372409 0.007159459 0.0016363066 0.0013893436 0.0029879003 0.0018049472 0.0002007457 0.0021651604 0.00095574703 6.45632e-05 5.080383e-05 5.715431e-05 5.0451024e-05 0.00013794651 9.525718e-05 5.4331875e-05 0.0021436394 0.004149685 0.0026432103 0.001925959 0.0008615483 0.00058318564 0.00029988372 0.0015742132 0.0008255622 8.961231e-05 5.891833e-05 3.7044458e-05 6.809124e-05 4.0925308e-05 8.008659e-05 2.8577155e-05 0.002629451 0.006360004 0.005372505 0.0039595235 0.0023436795 0.0017615522 0.0007906346 0.0025984042 0.0014482619 0.0004127811 0.00020215691 0.00013688809 0.0002183859 0.00012383434 0.00031822955 0.00010160766 0.0049209152 0.0054681147 0.0049551376 0.0050034714 0.0063113174 0.001992992 0.0012277592 0.0026739044 0.0017305055 0.0008336767 0.00046217372 0.0004205428 0.00071372325 0.00035809644 0.00094727974 0.00031223186 0.0056064143 0.005077208 0.0008185061 0.0012196447 0.0014133343 0.0014616685 0.0008703684 0.0015558673 0.0013427734 0.002203616 0.0003319889 0.00031223186 0.0007821673 0.00065127685 0.00057154306 0.00072995224 0.0045017838 0.013429145 0.0026386238 0.0016387763 0.0023542636 0.005556316 0.004680303 0.0023521467 0.0040826523 0.01021157 0.00077793363 0.0007271298 0.0014532012 0.004303155 0.0012739766 0.004856705 0.010473351 0.019340383 0.0046100947 0.0032521507 0.0042551737 0.008207994 0.007153814 0.003836042 0.0073478566 0.013853217 0.001446498 0.0017788396 0.0024121234 0.006750559 0.0031381948 0.006562514 0.012268419 0.00933097 0.0087678945 0.00854598 0.009184203 0.00897993 0.009543005 0.009587458 0.009478089 0.008603487 0.008895257 0.009614625 0.009234302 0.008736495 0.009533833 0.009190907 0.010172408 2963.0 265.78265 787514.0 0.023476409 0.000114283685 0.00079236686 0.00016253679 0.0004698329 0.00016761606 0.00012444223 0.00017396516 0.00017523498 0.00013841024 0.000121902594 0.00022602773 0.00022983718 0.0055630757 0.0072036814 0.01730636 0.034567006 0.056546297 0.031102939 0.02906234 0.030372793 0.028626792 0.029622331 0.029881373 0.034541607 0.03334925 0.049087383 0.00035554924 0.03390162 0.0006133224 0.03384702 0.0006247508 0.0010564892 0.03067628 0.030922625 0.028845202 0.033915587 0.033382263 0.030165812 0.00047872166 0.00026793175 0.0004215798 0.00016253679 0.00013333096 0.00046729328 0.00031999432 0.00034793033 0.00026920156 0.00058284675 0.00017142552 0.00031618486 0.0005790373 0.00047745183 0.00026285247 0.00045078565 0.0003263434 0.00030094702 0.00016253679 0.00016380662 0.000102855316 0.0001422197 0.00014983861 0.00011174405 0.00040634198 0.00018539352 0.005588472 0.0044913488 0.004540872 0.05953418 0.0062246514 0.036106024 0.0006171319 0.003347242 0.047106463 0.00031364523 0.00020063136 0.03454923 0.0075389137 0.0013675947 0.00819287 0.010282991 0.000114283685 0.03501144 0.0028469334 0.0038335826 0.009750938 0.0003657078 0.00029459794 0.0072176494 0.00050411804 0.00014856878 0.00010539495 0.00016253679 0.00013841024 9.3966584e-05 0.0001358706 5.1394224 0.0 66.0 0.0 4.0 1418792.0 1429504.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542102100.0 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 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 249344.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -249344.0 0.0 1078272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6425676 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.909108 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.680056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.634342 0.0 6.445301 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45938.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249095.0 0.0 1077784.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 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 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 -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 -2.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 295060.0 1077784.0 323584.0 0.0 0.0 11304.0 1407488.0 12096.0 1404928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 274384.0 0.0 0.0 844.0 253952.0 0.0 0.0 0.0 0.0


Input: 0.120247394 0.011669922 0.0109375 0.00546875 0.006656901 0.004313151 0.00875651 0.0048665362 0.0038085938 0.002718099 0.008268229 0.004654948 0.004801432 0.0033854167 0.0039225263 0.003971354 0.0026855469 0.003841146 0.0044108075 0.0028645834 0.0024739583 0.003157552 0.0033203126 0.0026855469 0.0030110676 0.0028971354 0.002799479 0.003157552 0.0041178386 0.002766927 0.0030110676 0.004296875 0.0061035156 0.001969401 0.002783203 0.003059896 0.0032714843 0.002001953 0.0029785156 0.0025716147 0.003531901 0.0020670572 0.0035644532 0.0036946614 0.0033528646 0.0030436197 0.004996745 0.0023763021 0.0035807292 0.003531901 0.0025553384 0.0029296875 0.003076172 0.0028971354 0.00234375 0.0024088542 0.0029947916 0.0031901042 0.0024251302 0.0029459635 0.0037434895 0.0028971354 0.0033040366 0.0045084637 0.0022949218 0.0032226562 0.0025390624 0.00476888 0.002018229 0.0030110676 0.0039550783 0.0034342448 0.0029134115 0.0037760416 0.002018229 0.0023763021 0.0020345051 0.0034179688 0.0025065104 0.0034342448 0.0024414062 0.0021321615 0.0032552083 0.0041341144 0.003141276 0.0028645834 0.0034667968 0.003125 0.002766927 0.002734375 0.0031901042 0.0028808594 0.0025716147 0.0025227864 0.002701823 0.0055501303 0.001985677 0.0068522138 0.004166667 0.0068684896 0.0046223956 0.014453125 0.003125 0.00546875 0.002799479 0.008577474 0.0025390624 0.0041503906 0.006982422 0.0060384115 0.0075032553 0.015315755 0.004671224 0.0034016927 0.010172526 0.009830729 0.011425781 0.005598958 0.0033691407 0.0029459635 0.00390625 0.004654948 0.002766927 0.003157552 0.0032226562 0.0028483074 0.0040690103 0.0040201824 0.0037434895 0.0025878907 0.0020507812 0.0024251302 0.001936849 0.0024088542 0.002766927 0.002718099 0.0021321615 0.0021321615 0.0028483074 0.0025878907 0.003125 0.0026367188 0.0029947916 0.0033854167 0.0020345051 0.003059896 0.0028645834 0.0033040366 0.0018066406 0.0028645834 0.002750651 0.0023111978 0.0017415364 0.002018229 0.0031901042 0.002001953 0.0028808594 0.0022623697 0.003076172 0.0032226562 0.0020833334 0.0021972656 0.0029785156 0.0025716147 0.0024576823 0.003125 0.0025716147 0.0028971354 0.0022623697 0.002783203 0.0023763021 0.0028483074 0.002018229 0.0032877603 0.0021809896 0.003157552 0.001920573 0.002734375 0.0020507812 0.0032063802 0.003141276 0.003092448 0.0026204428 0.0035481772 0.0026041667 0.002718099 0.0025716147 0.0030273437 0.002783203 0.0021484375 0.0025227864 0.0032063802 0.0024739583 0.0024414062 0.0022460937 0.0028483074 0.0028320313 0.002766927 0.0033691407 0.0036132813 0.0023763021 0.0028483074 0.0023925782 0.0029459635 0.0021158855 0.0032063802 0.001969401 0.0029622396 0.0021158855 0.0028808594 0.002734375 0.0032226562 0.0032063802 0.0025390624 0.002799479 0.0035970053 0.0020670572 0.0021647136 0.0036458333 0.0034179688 0.0032552083 0.0025716147 0.0029622396 0.002783203 0.0034667968 0.003141276 0.0036783854 0.0037597655 0.002799479 0.0024414062 0.0025227864 0.002766927 0.0021321615 0.0028808594 0.0026204428 0.0032063802 0.0021321615 0.0031901042 0.0024414062 0.0026692708 0.003873698 0.004003906 0.002734375 0.0025878907 0.0024739583 0.002750651 0.0031901042 0.0038248699 0.004199219 0.002734375 0.0029134115 0.0031901042 0.0044759116 0.0035970053 0.0045898436 0.0047200522 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011040122 3.3103814e-05 0.00092690677 0.00061242055 0.00025655454 0.000107587395 0.0025241657 0.0013986361 0.0 0.0 8.275953e-06 2.482786e-05 0.0 0.0 1.6551907e-05 0.0 0.023611294 0.0020855402 0.0029296875 0.0004965572 0.003343485 0.00251589 0.020665055 0.011437368 0.00014896716 6.620763e-05 9.103549e-05 4.965572e-05 0.000107587395 9.931144e-05 6.620763e-05 8.2759536e-05 0.044880494 0.0052138506 0.0053710938 0.0015558793 0.002507614 0.002110368 0.011362884 0.007315943 0.0008193194 0.0007779396 0.0006620763 0.0003889698 0.00046345338 0.00052138505 0.00025655454 0.000537937 0.029569982 0.002160024 0.0027227886 0.0014400159 0.003202794 0.0019117453 0.014375331 0.008309057 0.0006538003 0.0005710408 0.0009434587 0.00031448624 0.0003724179 0.00039724575 0.00043034958 0.00042207362 0.03287209 0.0030289988 0.0031448624 0.0018455376 0.0022676112 0.0018869174 0.008408369 0.005131091 0.00177933 0.0007862156 0.001257945 0.0010427701 0.00096828653 0.0006372484 0.00095173466 0.0017876059 0.005189023 0.0013738082 0.0012910487 0.00082759536 0.0006206965 0.0007282839 0.003566936 0.0022427833 0.0005710408 9.103549e-05 4.1379768e-05 0.000115863346 0.00018207097 7.448358e-05 3.3103814e-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 0.0 0.0119670285 0.0011172537 0.0014317399 0.0015558793 0.001771054 0.00177933 0.0030869306 0.002135196 0.0011834613 0.0012165651 0.0012662208 0.0008689751 0.0010096664 0.0011669095 0.00092690677 0.0014151881 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.038416974 0.03703489 0.033716235 0.041652873 0.034403138 0.03922802 0.03875629 0.043084614 0.0379618 0.03856594 0.0382018 0.04177701 0.041015625 0.043812897 0.043895658 0.052544028 480.0 14.295834 6862.0 0.014135821 0.00087438064 0.0042261733 0.0023316818 0.0016030312 0.0010201108 0.0014573011 0.0014573011 0.0018944914 0.00087438064 0.0016030312 0.0011658409 0.0030603323 0.002623142 0.019382104 0.0014573011 0.0072865053 0.0043719034 0.0020402216 0.0033517925 0.0036432527 0.002623142 0.0014573011 0.0029146022 0.0024774119 0.0032060624 0.0018944914 0.0018944914 0.0033517925 0.005100554 0.0029146022 0.0024774119 0.00087438064 0.010201108 0.0061206645 0.016904693 0.006995045 0.006995045 0.010346837 0.0049548238 0.0046633636 0.006995045 0.00072865054 0.002623142 0.002623142 0.008306616 0.002768872 0.0036432527 0.005537744 0.00058292045 0.006849315 0.015738852 0.0077236956 0.0030603323 0.0049548238 0.0029146022 0.0016030312 0.0017487613 0.0017487613 0.002768872 0.0032060624 0.001311571 0.002623142 0.019236375 0.0011658409 0.03847275 0.017779073 0.02666861 0.019236375 0.093413 0.0062663946 0.020256486 0.0059749344 0.045904983 0.0043719034 0.0056834742 0.035558145 0.024191197 0.03861848 0.055377442 0.016030312 0.0030603323 0.05260857 0.048965316 0.07636258 0.02812591 0.0077236956 0.0059749344 0.0075779655 0.016904693 0.002768872 0.0016030312 0.00087438064 0.0014573011 0.0014573011 0.0020402216 5.487239 1.0 0.0 0.0 2.0 61440.0 90112.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1540780200.0 0.0 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 80.0 0.0 4.0 0.0 6.0 0.0 58368.0 512.0 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 -58368.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -7.583424 0.0 4.159536 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 -58296.0 0.0 1580.0 0.0 0.0 0.0 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 66400.0 1580.0 73728.0 0.0 0.0 0.0 0.0 12.0 81920.0 28.0 66088.0 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: 0.39259574 0.0025924211 0.0011351281 0.0011326112 0.0014547762 0.00067201594 0.00066698215 0.0010847898 0.0014799453 0.0006846005 0.00080289546 0.00059650856 0.0010445191 0.00078276015 0.00035991866 0.000933775 0.001047036 0.0004228415 0.00059902546 0.0012156693 0.0018599991 0.0024112032 0.0020437338 0.0018021102 0.0019329897 0.0013717179 0.0005184842 0.00047066287 0.0020764538 0.0016083078 0.0019078206 0.00145981 0.0021846811 0.011137343 0.00048576435 0.010689332 0.0013540996 0.008748792 0.00046562904 0.0057385634 0.004568198 0.0033172923 0.0024112032 0.0021796473 0.001079756 0.00087336905 0.00042535842 0.0004203246 0.0008305815 0.00056378864 0.000523518 0.00082806457 0.0005361026 0.00053358567 0.00043290915 0.000349851 0.00055875484 0.00034733408 0.0005361026 0.008069226 0.0005159673 0.0006392961 0.013221348 0.00067453284 0.0032241663 0.016080562 0.0009362919 0.0010344515 0.014915231 0.0011980509 0.001109959 0.008376288 0.00064936373 0.0005864409 0.007558292 0.005743597 0.006095965 0.004439836 0.003672177 0.0031738281 0.0034079012 0.0006770498 0.0020512845 0.00076765864 0.00073997263 0.00065188063 0.00094384264 0.0011628141 0.00076262484 0.00073997263 0.00026930976 0.00050841656 0.0006065762 0.0011527465 0.0007525572 0.0014421915 0.00034733408 0.0009866301 0.0007273881 0.0016385108 0.0015353173 0.0018524484 0.0005914747 0.0013717179 0.00186755 0.0013943702 0.0022501207 0.0013792687 0.0013641672 0.0010344515 0.0014522591 0.0012785922 0.0017895256 0.0011930171 0.0014220562 0.0017115013 0.00312349 0.0024086863 0.00080792926 0.0010571037 0.00085575064 0.0014145055 0.00060154236 0.00059902546 0.0023231113 0.0011401619 0.0024992952 0.001049553 0.0029372382 0.0009513934 0.0005411364 0.0015957232 0.0006317453 0.0027459527 0.0004052231 0.0013339643 0.00096649484 0.0011879832 0.00081548 0.0026150732 0.004724247 0.0048626773 0.0011628141 0.0010973744 0.0009564272 0.0005486872 0.00031964804 0.00064936373 0.0023961018 0.00018876852 0.00018121778 0.00015353173 0.0005210011 0.00012836259 0.00014598099 0.0020311493 0.001457293 0.00016863321 0.00015604864 0.0001837347 0.00012836259 0.0003171311 0.00017366704 0.0001661163 0.00029196197 0.0023231113 0.00035740173 0.0019027868 0.0009388088 0.00048576435 0.00020638692 0.0004203246 0.00028692815 0.00018625161 0.0002743436 0.00046562904 0.002680513 0.00043290915 0.00042787532 0.00024665752 0.0002592421 0.00032468187 0.001049553 0.0005008658 0.0014749113 0.00019883618 0.00035991866 0.00026930976 0.00053106877 0.00056127174 0.0002592421 0.0014447084 0.0008356153 0.00044549373 0.00043039225 0.0014648438 0.00032468187 0.00050589966 0.0007475233 0.0004782136 0.00044801063 0.0005663056 0.00038257087 0.00028944507 0.00048576435 0.00048576435 0.00024414062 0.0002592421 0.0002768605 0.00021897149 0.00036998632 0.00045556139 0.00027182666 0.0011275773 0.00038257087 0.00044801063 0.003005195 0.00049331505 0.00022400531 0.000349851 0.0059600514 0.0016460615 0.00025169135 0.0013540996 0.0055296593 0.0013440319 0.0011200266 0.0050338274 0.00122322 0.0010621375 0.004074883 0.0029850595 0.0031385913 0.0019178882 0.0016485784 0.00224257 0.0019657095 0.0014900129 0.0012886598 0.0010973744 0.00085323374 0.0015353173 0.0013742349 0.0014195393 0.0018448977 0.0024615414 0.0020663862 0.0022702562 0.0031914464 0.0043643285 0.007528089 0.013392498 0.024461884 0.03387011 0.11893424 0.002826494 0.34102976 1.766392e-05 5.0468348e-06 1.2617087e-06 3.785126e-06 6.308543e-06 2.5234174e-06 2.5234174e-06 8.83196e-06 3.785126e-06 2.5234174e-06 0.0 0.0 0.0 1.2617087e-06 0.0 0.002455285 0.0 1.6402213e-05 3.785126e-06 1.2617086e-05 5.0468348e-06 5.8038597e-05 3.2804426e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0047200522 1.6402213e-05 2.1449046e-05 2.2710756e-05 4.542151e-05 4.4159802e-05 6.434714e-05 3.532784e-05 6.3085434e-05 5.0468348e-06 1.892563e-05 1.2617086e-05 3.2804426e-05 1.2617086e-05 2.2710756e-05 3.0281008e-05 0.009152435 0.000109768655 0.000111030364 2.5234172e-05 0.00021196705 7.822594e-05 0.00010093669 0.00016654555 9.588986e-05 2.6495882e-05 8.453448e-05 2.0187339e-05 3.0281008e-05 2.3972465e-05 2.2710756e-05 7.570252e-05 0.0 0.0 0.000114815484 0.000129956 1.2617087e-06 0.0 0.0 0.0 7.191739e-05 6.1823725e-05 3.0281008e-05 0.0 0.0 5.0468345e-05 7.570252e-06 0.0021158855 0.0038557816 6.560885e-05 0.0010686673 0.0010068435 0.00019556485 6.560885e-05 0.00035706355 0.00029776324 0.0005475816 0.00047061732 0.0002737908 0.00019808827 1.6402213e-05 0.00033056768 0.00010346011 0.011818425 0.003594608 0.00010472182 0.0035630653 0.0047023883 0.001191053 6.813227e-05 0.00022458415 0.0005866945 0.001614987 0.0011191355 0.00070908025 0.00018042434 2.2710756e-05 0.0010333394 0.0006258075 0.032338854 0.00345582 0.00017033066 0.0065571 0.0045282724 0.0048298207 0.00012617087 0.000389868 0.00057786255 0.0015216207 0.0008188489 0.00045926194 5.9300306e-05 2.2710756e-05 0.0028073017 0.00025612686 0.035435088 0.0026533734 0.00018042434 0.003452035 0.0013525516 0.0034457264 0.00015266675 0.0010245075 0.00056272204 0.0006422097 0.00032425913 0.00028514615 6.813227e-05 1.38787955e-05 0.0006220224 0.0008604853 0.012783632 0.0038532582 0.0019405079 0.010974342 0.0040223273 0.017897338 0.0013689538 0.00095259 0.0019934997 0.003079831 0.0013790475 0.00069267803 0.00041510214 9.967498e-05 0.001411852 0.005407683 0.04270253 0.0050632367 0.003978167 0.009221829 0.0041207406 0.023963632 0.0034633903 0.0017298026 0.005140201 0.0036311976 0.0022534116 0.00077721255 0.0009816093 9.084302e-05 0.0009778242 0.005950218 0.039767794 0.005455628 0.0013449814 0.0020553234 0.0013361495 0.0022963097 0.0007822594 0.0008768875 0.0008995983 0.0011153504 0.00045043 0.00032552084 0.00038355944 0.00033056768 0.00031542717 0.0009324027 0.0043554185 0.0017285409 0.0018307393 0.004974917 0.0017777475 0.006635326 0.001614987 0.0042885477 0.002905715 0.00285777 0.00052739424 0.00027126737 0.00019556485 0.00010346011 0.0010976866 0.0058795623 0.012406381 0.009216782 0.006721122 0.008276809 0.0034495115 0.011246871 0.0046493965 0.00726618 0.006531866 0.00756142 0.0013878795 0.0016313893 0.0035315226 0.0030899246 0.005053143 0.010504986 0.01840833 0.010068435 0.0059350776 0.005413992 0.002455285 0.0066492045 0.0038532582 0.0033271257 0.0040248507 0.005569182 0.0010245075 0.0032110484 0.00480711 0.0042822394 0.002884266 0.0063779373 0.01021984 0.00047818758 0.0003658955 0.0003646338 0.0002927164 0.00034066133 0.00038734457 0.00041762556 0.00026495883 0.00024224806 0.00035327842 0.00014888162 0.00018799459 0.00027000566 0.00025360344 0.00029523982 0.00050468347 3499.0 10.715919 37495.0 0.004720629 0.0033071076 0.0019202561 0.013868515 0.002026937 0.021842912 0.0019469262 0.014481931 0.012401653 0.0103747165 0.008134418 0.0049873316 0.0025603413 0.002160288 0.002026937 0.00240032 0.0033871182 0.0031470864 0.0034937991 0.0034137885 0.0029070543 0.0022402988 0.0025336712 0.0018669156 0.0018935858 0.0010134685 0.0026936925 0.009147886 0.0025336712 0.0029070543 0.015442059 0.004293906 0.008481131 0.050833445 0.008054407 0.008801173 0.06014135 0.007440992 0.0058941194 0.048299775 0.0034937991 0.0030670755 0.05166022 0.044752635 0.045126017 0.03336445 0.026110148 0.019842645 0.01693559 0.0020536073 0.00962795 0.0034937991 0.004720629 0.0037605015 0.0044539273 0.0046939594 0.0037871716 0.002773703 0.0012535005 0.0024803306 0.0033071076 0.007867715 0.0035204694 0.009814642 0.0018402453 0.0076810243 0.0065075345 0.014641953 0.011841579 0.013281771 0.003947193 0.012401653 0.012321643 0.011014802 0.01434858 0.012535005 0.011068142 0.009041205 0.011468195 0.010028004 0.009281238 0.0060008 0.009201227 0.013441793 0.019575944 0.011468195 0.004320576 0.005547406 0.004293906 0.0091745565 0.003333778 0.0035204694 0.019442592 0.006694226 0.020056007 0.008694492 5.9224596 0.0 0.0 0.0 3.0 397312.0 278528.0 0.0 0.0 96.0 0.0 1.0 0.0 0.0 0.0 1051730500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24576.0 4096.0 4096.0 4.0 0.0 0.0 1.0 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 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3535104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7886331 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.645497 0.0 6.0456085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20714.0 0.0 226512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 30436.0 226512.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 396.0 28672.0 0.0 0.0 0.0 0.0