Input: 0.05687822 0.00830524 0.0061821667 0.005660491 0.0057571363 0.0049631917 0.0042014625 0.0054266723 0.0050494447 0.0056324326 0.0037462953 0.0044758096 0.004953839 0.0031685033 0.004318891 0.004633767 0.0050369743 0.0037577264 0.004937212 0.0041546985 0.0043583806 0.0031788952 0.004110013 0.0038377445 0.005075425 0.0033430879 0.0031653857 0.0029284493 0.0041443068 0.003439733 0.0037909807 0.0037951374 0.006174892 0.0038117645 0.003488575 0.0030198984 0.004894605 0.0041640513 0.0038439794 0.003723433 0.0047314516 0.0038928217 0.0033358135 0.0030936813 0.0043718903 0.0037286289 0.0037192763 0.0035821025 0.005510847 0.0039510163 0.003097838 0.0028951953 0.003674591 0.003076015 0.0026894347 0.002851549 0.0041723647 0.0033129512 0.0035187118 0.0033389311 0.0040092114 0.0032194238 0.0035010455 0.0034532426 0.006602001 0.0039510163 0.0036153567 0.003220463 0.004156777 0.0032173453 0.0035405348 0.0030666622 0.005001642 0.003776432 0.0037036883 0.0035883377 0.0041453457 0.0031373275 0.003558201 0.0034698695 0.005173109 0.0036257487 0.003647572 0.003337892 0.003927115 0.0033742636 0.0033638717 0.0035405348 0.004654551 0.0036413367 0.0038076078 0.0035000062 0.0040996214 0.0033825773 0.0036839435 0.0037816279 0.005917172 0.003622631 0.003349323 0.0029513116 0.0040133684 0.0030573094 0.0032724226 0.0030292512 0.0049673487 0.003162268 0.0031965615 0.0030448392 0.0035779458 0.0028286867 0.003087446 0.0031976006 0.004509064 0.0032984025 0.0032235805 0.0031310923 0.003888665 0.0033295783 0.0032911282 0.0036236704 0.004628571 0.003300481 0.0034750656 0.0031643466 0.004039348 0.0032017576 0.0034677912 0.003348284 0.008665841 0.004595317 0.0040144073 0.0035332604 0.004364616 0.0034366155 0.0030136632 0.0033908908 0.0045392006 0.0038315093 0.002948194 0.0031913656 0.0037317465 0.0027891973 0.0028380395 0.0029783307 0.005238578 0.0032048752 0.003493771 0.0030271728 0.0036662773 0.0031757776 0.003300481 0.0032651483 0.004543357 0.0028370004 0.0030417216 0.0026935914 0.0035166333 0.003225659 0.0029866442 0.003150837 0.0050161905 0.0034095964 0.0032776187 0.00279855 0.0037805887 0.0030095065 0.0030531527 0.0031820128 0.004137032 0.0029939187 0.0031144652 0.0030157417 0.003648611 0.0028276476 0.0029190967 0.0030458784 0.004675335 0.003113426 0.0038367051 0.0028484315 0.003562358 0.003145641 0.0029876835 0.0031165436 0.004257579 0.0031425233 0.0033295783 0.00317266 0.0036558853 0.0031903263 0.0033212649 0.0033410096 0.006724626 0.004054936 0.0037265506 0.0033430879 0.0041162483 0.0032557957 0.0033098336 0.0032277373 0.00433344 0.0033233431 0.003113426 0.0030770542 0.003647572 0.002984566 0.0030749757 0.0027943933 0.004257579 0.0032828148 0.0030936813 0.0030022322 0.0037161587 0.0030074283 0.0029305278 0.0029429982 0.0039832317 0.0031092693 0.0027206105 0.002632279 0.0035291037 0.002937802 0.0035800242 0.0028796073 0.0049528 0.0032318942 0.0033877732 0.0029720955 0.0038117645 0.0030697798 0.00319864 0.0029035087 0.004445673 0.005451613 0.0034646736 0.0031227786 0.0037857846 0.003076015 0.0032412468 0.0031913656 0.0046202578 0.003311912 0.0034199883 0.003038604 0.0037483736 0.0030926422 0.0033087945 0.0032433253 0.0043573417 0.0030302904 0.0031820128 0.0028598625 0.004019603 0.003086407 0.004227442 0.004530887 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0045980685 0.00028890843 0.0002842234 0.00026600398 0.00031285398 0.0002420584 0.00034148456 0.0003066073 0.00032951176 0.00035293677 0.00032690898 0.00034929288 0.0005148296 0.00015304338 0.00018583839 0.0007423124 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.09933088 0.062009636 0.062463563 0.05528822 0.060614027 0.05954012 0.05492071 0.05446991 0.060447447 0.05312375 0.05210138 0.052903034 0.05640898 0.050503273 0.056611475 0.0538265 4016.0 5.703934 22907.0 0.017199982 0.010477147 0.009385778 0.008643646 0.013402017 0.012485267 0.01178679 0.011437552 0.012572576 0.00969136 0.008512681 0.008599991 0.013925875 0.010520802 0.01178679 0.0099096345 0.016807089 0.011874099 0.008687301 0.007508622 0.009822325 0.008469027 0.00785786 0.008338063 0.010346183 0.008425372 0.009735015 0.008818265 0.0115685165 0.008992884 0.009647706 0.009254813 0.018029423 0.010957349 0.010346183 0.009036539 0.010826385 0.008905575 0.010651765 0.008338063 0.014275112 0.011612171 0.009735015 0.008992884 0.011437552 0.009342123 0.011655826 0.009560396 0.01479897 0.009604051 0.010040599 0.009036539 0.0120487185 0.009429432 0.009604051 0.009822325 0.013751255 0.009211158 0.010520802 0.009516741 0.011131968 0.00986598 0.010389837 0.01069542 0.017985769 0.011001004 0.009735015 0.008163444 0.013096433 0.008250753 0.009385778 0.008338063 0.015453791 0.009298468 0.008905575 0.008687301 0.011437552 0.00794517 0.009953289 0.00785786 0.013227398 0.00794517 0.00877461 0.008730955 0.011481207 0.009429432 0.008207099 0.00794517 0.010913694 0.00886192 0.011917754 0.008425372 0.011262933 0.008992884 0.009953289 0.00877461 6.554401 0.0 0.0 0.0 14.0 962284.0 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: 0.056567248 0.008294973 0.0061638695 0.005648147 0.005752532 0.004960861 0.004199162 0.005420774 0.005047676 0.005611974 0.0037516512 0.004468909 0.0049494924 0.003179085 0.004326284 0.0046415054 0.005040441 0.0037599192 0.0049319225 0.004161956 0.0043655573 0.003174951 0.004108213 0.0038426002 0.0050817817 0.0033454807 0.0031718505 0.002935176 0.0041381847 0.0034353961 0.00378369 0.0037940252 0.006173171 0.0038198628 0.0034901723 0.0030312927 0.0048895483 0.0041578216 0.0038363992 0.0037237462 0.004736589 0.0039025438 0.0033372124 0.0031067391 0.004364524 0.0037258132 0.0037289138 0.0035852555 0.0055086226 0.0039500855 0.0030891695 0.002892802 0.0036720706 0.0030798677 0.0026923006 0.0028659306 0.0041743577 0.0033155086 0.003511876 0.0033527152 0.004007962 0.0032286937 0.003499474 0.0034560664 0.006595878 0.003959387 0.0036234956 0.0032338612 0.004158855 0.0032245596 0.003541848 0.0030674657 0.004994967 0.0037702543 0.003705143 0.0035873225 0.0041361176 0.00313051 0.0035583843 0.0034622676 0.0051675634 0.0036162608 0.0036462327 0.003332045 0.0039294153 0.0033899215 0.0033537487 0.003535647 0.0046456396 0.0036514003 0.0038136619 0.003507742 0.004116481 0.0033816535 0.0036875734 0.0037847233 0.005908592 0.0036317636 0.0033413465 0.0029589469 0.0040182974 0.003051963 0.0032648665 0.0030312927 0.004969129 0.0031697834 0.0031883866 0.003051963 0.0035831884 0.0028380258 0.0030922699 0.0031914872 0.0045050816 0.0032927715 0.003221459 0.003140845 0.0038880748 0.0033268773 0.0032855368 0.00363073 0.0046280697 0.0032927715 0.0034726027 0.0031666828 0.0040306994 0.0031956213 0.003469502 0.0033434136 0.008632932 0.0045939637 0.004012096 0.0035315128 0.0043614237 0.0034457312 0.0030168234 0.0033878547 0.004538154 0.0038436337 0.002967215 0.0031925207 0.0037309807 0.0028070204 0.0028400929 0.002983751 0.005217172 0.0032162915 0.0034922394 0.0030230246 0.003662769 0.003187353 0.003308274 0.003272101 0.0045433217 0.00284216 0.0030447284 0.0027036692 0.003511876 0.0032276602 0.0029806506 0.0031573812 0.0050146035 0.003416793 0.0032700342 0.002805987 0.0037712879 0.003011656 0.0030571306 0.003183219 0.004140252 0.003003388 0.0031274094 0.003019924 0.0036503668 0.0028380258 0.0029165728 0.0030426614 0.0046642427 0.0031088062 0.0038374325 0.0028462938 0.0035625182 0.0031687499 0.0029878851 0.0031201749 0.0042549716 0.0031480796 0.0033289443 0.003172884 0.0036514003 0.0031997552 0.0033268773 0.0033413465 0.0067085307 0.004063772 0.0037258132 0.0033392794 0.004128883 0.0032710677 0.003297939 0.0032379953 0.004324217 0.0033330785 0.0031232752 0.0030798677 0.0036400317 0.0029899522 0.0030788344 0.0027977189 0.0042570387 0.0032772687 0.0030995046 0.0030023544 0.0037082436 0.003019924 0.0029393102 0.0029548127 0.0039800573 0.0031129401 0.002729507 0.0026364909 0.0035408144 0.0029527456 0.0035873225 0.002890735 0.0049484586 0.003247297 0.0033961227 0.002975483 0.0038105613 0.0030788344 0.0031966548 0.002909338 0.0044420375 0.005443511 0.003467435 0.00313051 0.003796092 0.003086069 0.0032400622 0.0031821856 0.004608433 0.0033258437 0.0034209269 0.0030395607 0.0037464835 0.003096404 0.0033237769 0.003249364 0.004350055 0.0030447284 0.0031780514 0.002858696 0.0040172637 0.003096404 0.0042374018 0.0045061153 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.004575242 0.0002920367 0.0002733961 0.00026614693 0.00030549942 0.00023818598 0.000329318 0.00030394603 0.00032569343 0.0003515832 0.00032465783 0.0003531366 0.0005188312 0.00015740986 0.0001879598 0.0007409655 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09912264 0.062026218 0.062479805 0.05530834 0.060621437 0.05954753 0.05496711 0.05445656 0.060476456 0.053175017 0.0521648 0.052938905 0.05645888 0.05058863 0.056652535 0.05387197 4040.0 5.702475 23038.0 0.017145585 0.010634604 0.0094192205 0.008724716 0.013542842 0.012414272 0.01180658 0.011502734 0.012587898 0.0097664725 0.008551089 0.008811529 0.013803282 0.010547791 0.011676361 0.009896693 0.016624708 0.011980207 0.008681309 0.007465926 0.009853286 0.008551089 0.007899991 0.008377464 0.010287351 0.008507683 0.00954944 0.008898342 0.011459328 0.009028561 0.009592847 0.009289001 0.018187342 0.0108516365 0.010374164 0.0090719685 0.0108516365 0.008811529 0.010764823 0.00829065 0.014193941 0.011632955 0.009723066 0.008941748 0.011502734 0.009332407 0.011632955 0.00954944 0.014714819 0.00954944 0.009896693 0.0090719685 0.012110426 0.0094192205 0.009506034 0.0097664725 0.013629655 0.009202188 0.0105043845 0.009506034 0.011155482 0.0097664725 0.010374164 0.010634604 0.017883496 0.010981856 0.009636253 0.008160431 0.01306537 0.008203837 0.009332407 0.008377464 0.015365917 0.009332407 0.008854935 0.008681309 0.011372515 0.008117024 0.010070318 0.007813178 0.01319559 0.008030211 0.008637902 0.008768123 0.011415921 0.009506034 0.00829065 0.008030211 0.011068669 0.008941748 0.0118933935 0.00842087 0.0111988885 0.009028561 0.010113725 0.008811529 6.554943 0.0 0.0 0.0 15.0 967574.0 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: 0.24486811 0.01336115 0.010501335 0.0067594894 0.010408446 0.003508391 0.0035889493 0.003311928 0.006921428 0.0021619187 0.0024849735 0.0024142796 0.006300801 0.0024249658 0.006073923 0.0055083716 0.0053686276 0.0021660288 0.0013727773 0.0010554766 0.004203822 0.0017541955 0.0014229206 0.0010168416 0.0036284064 0.0014886823 0.0010102654 0.0011483652 0.002837621 0.0009666982 0.0010151976 0.0012404317 0.008177478 0.0012100168 0.0012544061 0.0009888929 0.011699843 0.0023024846 0.0009806727 0.000848327 0.002354272 0.0012034407 0.0013883957 0.0023863309 0.0019424387 0.0011360348 0.0012511179 0.0009239531 0.0024118135 0.0011557634 0.0013727773 0.0040838066 0.0021183514 0.0011269926 0.0012059067 0.0009116227 0.0018191354 0.0013892177 0.0015873251 0.0028121383 0.0017952967 0.001768992 0.0010472564 0.0011500092 0.0038043193 0.002467711 0.003760752 0.0025638875 0.0054935752 0.0059522637 0.0038898096 0.0020049124 0.005155724 0.0040065367 0.0011311027 0.0018281776 0.0048548635 0.007979371 0.0026666403 0.0023353654 0.0064315028 0.0028557056 0.0022046638 0.0035256536 0.0029543482 0.0021282157 0.0046460703 0.003427011 0.0017599497 0.0015881471 0.0008927162 0.0025737518 0.0019259983 0.0017657039 0.0035585347 0.002802274 0.001403192 0.0028318667 0.0011138403 0.0021619187 0.0034903067 0.0059062303 0.004168475 0.0017837884 0.0037936328 0.0031072444 0.0039646137 0.002022175 0.0033489189 0.0014442932 0.004299177 0.002874612 0.0024751092 0.001029994 0.0032979534 0.0027340462 0.0072485926 0.005011048 0.0015749948 0.002137258 0.002066564 0.0012330335 0.0012289233 0.00069049874 0.0023830426 0.0018265336 0.001953125 0.0013078374 0.0048408895 0.00287379 0.0010447904 0.00838545 0.0028622816 0.0044487845 0.003023398 0.0013078374 0.005005294 0.011818214 0.0017114504 0.025850136 0.0014541574 0.011062776 0.0023797546 0.0011015099 0.008992102 0.0008516151 0.00081380206 0.0013037274 0.0012856429 0.0008425729 0.0014171664 0.000922309 0.0013505827 0.0014927925 0.000663372 0.0010045113 0.0012659143 0.0007628367 0.0011705598 0.0009510798 0.0014286748 0.0010365702 0.0007126933 0.0012634483 0.0010497224 0.0007209136 0.0011697378 0.0009543679 0.0015955453 0.0006510417 0.001324278 0.0009930029 0.0012478299 0.00082777644 0.0011130183 0.0015421138 0.0015215633 0.00089107215 0.0008376407 0.0010077993 0.00117878 0.0010110874 0.0010900015 0.0009650542 0.0030735414 0.0017944747 0.0014829283 0.0012437197 0.0013497607 0.0009814947 0.0020805385 0.0011590514 0.0051779184 0.0047677294 0.0037418455 0.0025334728 0.0031762943 0.0011335688 0.0036760839 0.004308219 0.002213706 0.0024956597 0.0012568721 0.0011697378 0.002651844 0.001067807 0.0019391506 0.0014829283 0.0019243542 0.0017385771 0.001439361 0.001140967 0.0012239912 0.00095272384 0.001144255 0.0010604088 0.0021282157 0.0012650923 0.0011064421 0.0015437579 0.0014705979 0.0010431464 0.00094861374 0.000996291 0.0024044153 0.0017492635 0.0015634864 0.0009025805 0.0017722801 0.0010373922 0.0012215251 0.0012026186 0.012197167 0.0043073967 0.0011664496 0.004456183 0.00295517 0.0012552281 0.0011212385 0.001035748 0.00427616 0.0019999803 0.0010850695 0.0013349642 0.0020205309 0.0013596249 0.0022202823 0.0024052372 0.0037451335 0.0030669651 0.0031129986 0.0020945128 0.004778416 0.0020057345 0.004009003 0.08170984 0.0092555415 8.638505e-06 1.6454296e-06 0.0 0.0 4.113574e-07 0.0 0.0 8.227148e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004840443 4.6483387e-05 1.727701e-05 1.110665e-05 1.2340722e-06 2.0979229e-05 4.5249317e-06 9.4612205e-06 5.7590037e-06 1.6454296e-06 4.113574e-06 2.4681444e-06 3.7022166e-06 1.0695293e-05 4.113574e-06 7.075348e-05 0.008498233 0.00012669808 3.9901668e-05 2.7972304e-05 2.6326874e-05 2.3447372e-05 6.046954e-05 2.385873e-05 6.5817185e-06 1.9333798e-05 1.4808867e-05 1.275208e-05 1.9745155e-05 1.6042939e-05 4.73061e-05 0.00030358176 0.005670562 7.815791e-05 5.0596962e-05 4.4015243e-05 2.4270088e-05 2.0979229e-05 1.8099727e-05 2.0979229e-05 0.00013451387 2.6738231e-05 1.0283935e-05 1.3574795e-05 1.768837e-05 1.3986152e-05 1.727701e-05 0.0005779572 0.0072797923 0.0001353366 7.116483e-05 4.2781172e-05 5.594461e-05 2.8383662e-05 6.869669e-05 3.002909e-05 0.0001468546 6.910804e-05 5.0596962e-05 5.0185605e-05 9.543492e-05 3.1263164e-05 7.034212e-05 0.0010411456 0.008871745 0.0001526136 0.00017153604 0.00022131029 0.0001505568 0.00011764822 0.0001612521 0.00014767732 0.0005656165 7.1987546e-05 8.227148e-05 7.898062e-05 7.939198e-05 5.553325e-05 6.6228546e-05 0.00080009014 0.012571494 0.00036939897 0.00032332694 0.00021678535 0.000490338 0.00025133937 0.0004911607 0.0003023477 0.00065858325 0.00013739338 0.00012587536 0.00010037121 0.00010325071 9.255542e-05 0.00011065514 0.0021892441 0.024430105 0.0006182702 0.002141938 0.000409712 0.0020362192 0.00047347238 0.0065792506 0.0029136445 0.0006141566 0.0005154308 0.00023159423 0.0002694391 0.00034841974 0.00022871472 0.00019950834 0.0043254234 0.037788525 0.0012830237 0.0021110862 0.0010995583 0.0024611515 0.0014784186 0.004589515 0.0022780974 0.0016211596 0.0008589143 0.0008227148 0.00066105137 0.0007634794 0.0007264572 0.0010522522 0.012013693 0.03149229 0.0019177482 0.0037569273 0.0026647733 0.0042369813 0.0018794921 0.007401554 0.0045792307 0.001457028 0.0011238285 0.0014821207 0.0015483493 0.001549172 0.0013821609 0.0017342828 0.02446466 0.021771913 0.0016783383 0.0032081765 0.0021497537 0.0040732613 0.0021394698 0.0053846687 0.0034681545 0.0027425198 0.0009321359 0.0013513091 0.0013755792 0.0013200459 0.0010481387 0.0015820806 0.013171253 0.015583864 0.0015335404 0.0016487205 0.0011353465 0.0038745755 0.0012081567 0.0024739036 0.0013887426 0.0019765724 0.0012900168 0.0020514394 0.0022324368 0.0023365102 0.0019161028 0.003871696 0.0077108946 0.03056838 0.0029827526 0.0028873177 0.0025364298 0.006281839 0.004586635 0.0027466335 0.0032229854 0.012487166 0.0026997386 0.0015063909 0.002225855 0.0053608096 0.0019950834 0.005239459 0.011240342 0.08824439 0.012729044 0.0137389265 0.0100038005 0.02538898 0.022590926 0.010859836 0.01225516 0.049554583 0.00996102 0.004728965 0.0074048447 0.021080421 0.007271154 0.018233007 0.032205995 0.019774774 0.004452944 0.006204504 0.0034315435 0.00707905 0.006523717 0.0031682749 0.0039009023 0.013390918 0.0038470146 0.0015302496 0.0019741042 0.0057989056 0.002498585 0.0042419177 0.007380575 0.003923938 0.0035751073 0.0036713649 0.003753225 0.0037227846 0.0037034508 0.0037063302 0.0036569673 0.0038552417 0.003529858 0.0036236474 0.0036894646 0.0039046046 0.0038235672 0.0038807457 0.0037943607 3637.0 15.77124 57360.0 0.07697001 0.0030509066 0.003225244 0.0017782426 0.008124128 0.011314505 0.0012552302 0.0010634589 0.0077580195 0.0068688984 0.009466527 0.0024407252 0.0048117153 0.0051603904 0.005073222 0.0015167363 0.0067642955 0.0025104603 0.0050209207 0.008141562 0.0043758717 0.0013075314 0.0040271967 0.0011157601 0.0025453276 0.0028591354 0.013912134 0.002039749 0.0016039051 0.0021269177 0.0009762901 0.0014818689 0.0037482567 0.008525104 0.008054393 0.02318689 0.01054742 0.008525104 0.008385635 0.0036087865 0.003364714 0.012813807 0.0023535565 0.0014470014 0.008368201 0.00901325 0.008542539 0.021809623 0.009100419 0.0039574616 0.010808926 0.014103905 0.009501395 0.0045153415 0.0053695957 0.0065725246 0.0039400277 0.0024407252 0.0013249652 0.012290795 0.0020920502 0.0028417015 0.0037133892 0.01194212 0.0018654114 0.032461647 0.0050209207 0.02351813 0.023622734 0.0569212 0.015742678 0.014347978 0.008333334 0.032845188 0.002667364 0.025767084 0.026499303 0.011227336 0.04095188 0.038441423 0.016195955 0.003172943 0.032409344 0.028399581 0.040132497 0.015394003 0.006345886 0.01598675 0.006659693 0.0059972107 0.004794282 0.0009239888 0.0010983264 0.0009239888 0.0016910739 0.0021443514 5.832224 0.0 0.0 0.0 2.0 1216512.0 1220608.0 0.0 1.0 280.0 0.0 1.0 0.0 0.0 0.0 1032345200.0 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 598016.0 4096.0 4096.0 6.0 0.0 0.0 3.0 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 221184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 -593920.0 0.0 245760.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.680129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3924193 0.0 0.0 0.0 -5.843991 0.0 0.0 0.0 0.0 -6.551021 0.0 5.148723 0.0 0.0 -7.9950237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 218956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77116.0 0.0 0.0 0.0 -3344.0 0.0 0.0 0.0 0.0 -590189.0 0.0 242128.0 0.0 0.0 -73728.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 3.0 1.0 0.0 1.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 2.0 -2.0 -1.0 -1.0 0.0 1.0 1.0 3.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 2.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 -2.0 1.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 3.0 2.0 0.0 0.0 1.0 2.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 2.0 0.0 -2.0 1.0 -2.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 -2.0 0.0 1.0 1.0 0.0 2.0 0.0 1.0 0.0 -1.0 1.0 1.0 -2.0 0.0 2.0 1.0 -2.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 1.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -2.0 -2.0 -1.0 1.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 2.0 -2.0 1.0 0.0 -2.0 0.0 4.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 -3.0 0.0 0.0 1.0 -2.0 1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -2.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 3.0 1.0 0.0 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 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 -2.0 -1.0 0.0 2.0 -2.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 2.0 0.0 1.0 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 1.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 2.0 -2.0 0.0 1.0 -1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 0.0 1.0 0.0 2.0 -2.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 -3.0 0.0 -1.0 0.0 1.0 -2.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 2.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 -1.0 1.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 2.0 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 2.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 -4.0 0.0 -2.0 0.0 2.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 92.0 820976.0 300.0 812640.0 242128.0 901120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3556.0 602112.0 0.0 0.0 0.0 0.0


Input: 0.52522784 0.015462239 0.0026041667 0.002766927 0.0032552083 0.0013020834 0.0017903646 0.0016276041 0.0017903646 0.0014648438 0.001953125 0.0006510417 0.0011393229 0.0009765625 0.0011393229 0.00081380206 0.0021158855 0.00048828125 0.00032552084 0.0016276041 0.00081380206 0.00032552084 0.00081380206 0.00048828125 0.0009765625 0.00048828125 0.00032552084 0.00048828125 0.00081380206 0.0 0.00081380206 0.0014648438 0.011067708 0.00081380206 0.0 0.0016276041 0.0014648438 0.00081380206 0.00032552084 0.00032552084 0.00081380206 0.00081380206 0.00016276042 0.0006510417 0.0035807292 0.0011393229 0.016601562 0.0 0.0066731772 0.0035807292 0.003092448 0.0011393229 0.0021158855 0.0017903646 0.00048828125 0.0024414062 0.0014648438 0.0021158855 0.0006510417 0.00016276042 0.0016276041 0.0017903646 0.00048828125 0.00048828125 0.001953125 0.0052083335 0.0013020834 0.0063476562 0.0035807292 0.0021158855 0.0021158855 0.0013020834 0.001953125 0.0034179688 0.00016276042 0.0013020834 0.0006510417 0.001953125 0.001953125 0.0014648438 0.0035807292 0.00048828125 0.0048828125 0.0034179688 0.0047200522 0.0029296875 0.0032552083 0.0017903646 0.00081380206 0.0006510417 0.00016276042 0.00016276042 0.00032552084 0.00016276042 0.0 0.0014648438 0.00048828125 0.013509114 0.0052083335 0.011067708 0.0050455728 0.030598959 0.0047200522 0.0026041667 0.003092448 0.015625 0.00032552084 0.0024414062 0.0152994795 0.011230469 0.016601562 0.026692709 0.0034179688 0.0 0.02327474 0.019042969 0.021321615 0.011555989 0.0022786458 0.00048828125 0.0013020834 0.0052083335 0.00081380206 0.0017903646 0.00032552084 0.0017903646 0.00032552084 0.00016276042 0.00081380206 0.0 0.00016276042 0.00016276042 0.00048828125 0.00016276042 0.00016276042 0.00032552084 0.00016276042 0.00016276042 0.00016276042 0.0 0.00048828125 0.00016276042 0.00032552084 0.0 0.00032552084 0.0006510417 0.00032552084 0.0 0.0 0.0 0.0 0.0 0.00016276042 0.0 0.0 0.0 0.00032552084 0.0 0.00032552084 0.00016276042 0.00032552084 0.0 0.00032552084 0.00032552084 0.0 0.00016276042 0.00016276042 0.0006510417 0.0 0.00032552084 0.0006510417 0.0 0.0006510417 0.00016276042 0.0 0.00016276042 0.00016276042 0.0017903646 0.00032552084 0.00048828125 0.00032552084 0.00016276042 0.00032552084 0.00016276042 0.00048828125 0.0 0.00016276042 0.00016276042 0.00016276042 0.00016276042 0.00048828125 0.00032552084 0.00016276042 0.0 0.00032552084 0.0013020834 0.0016276041 0.00032552084 0.0 0.00016276042 0.0 0.00032552084 0.00081380206 0.0 0.0 0.00048828125 0.00048828125 0.00016276042 0.0 0.0006510417 0.00016276042 0.0 0.00032552084 0.0 0.0 0.0 0.00048828125 0.00016276042 0.00048828125 0.00016276042 0.0 0.0 0.0 0.0 0.0006510417 0.0 0.00032552084 0.00016276042 0.00032552084 0.00016276042 0.0 0.00016276042 0.0 0.0 0.0 0.0 0.00016276042 0.00016276042 0.00032552084 0.0006510417 0.00032552084 0.00016276042 0.0 0.00016276042 0.0 0.0 0.0 0.00016276042 0.00032552084 0.00016276042 0.00032552084 0.0 0.0 0.00016276042 0.00032552084 0.0006510417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.15888672 0.00068359374 0.003125 0.0051757814 0.0041015623 0.0032226562 0.017578125 0.0063476562 0.0001953125 0.0 9.765625e-05 0.0001953125 0.0 0.0001953125 9.765625e-05 9.765625e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1897461 0.005859375 0.018359374 0.01171875 0.0171875 0.014160156 0.08544922 0.0484375 0.0017578125 0.00048828125 0.0012695312 0.001171875 0.0009765625 0.00068359374 0.0012695312 0.0014648438 0.17080078 0.0069335937 0.021582032 0.016015625 0.018847656 0.014257813 0.080566406 0.049609374 0.0021484375 0.0016601563 0.0026367188 0.0044921874 0.005859375 0.0017578125 0.0018554687 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 22.7 1362.0 0.034508076 0.0007342144 0.0 0.004405286 0.0007342144 0.0 0.0 0.0007342144 0.0014684288 0.0014684288 0.0 0.0 0.010279002 0.0029368575 0.051395006 0.0 0.01688693 0.008810572 0.004405286 0.003671072 0.005139501 0.005139501 0.002202643 0.005873715 0.0029368575 0.005873715 0.0029368575 0.0 0.0007342144 0.0066079297 0.0007342144 0.0007342144 0.0007342144 0.0154185025 0.002202643 0.010279002 0.011013215 0.0007342144 0.0007342144 0.002202643 0.0014684288 0.008076359 0.0 0.004405286 0.0 0.005873715 0.0 0.0007342144 0.009544787 0.0 0.019823788 0.009544787 0.013950073 0.005873715 0.007342144 0.004405286 0.0 0.0007342144 0.0 0.0 0.0 0.0 0.0 0.0014684288 0.0007342144 0.030837005 0.019089574 0.030837005 0.009544787 0.09544787 0.0066079297 0.005139501 0.003671072 0.03891336 0.0007342144 0.0066079297 0.037444934 0.034508076 0.027900146 0.062408224 0.007342144 0.0 0.059471365 0.060939796 0.05873715 0.04185022 0.005873715 0.0 0.003671072 0.01688693 0.002202643 0.007342144 0.0 0.007342144 0.0 0.0 5.1967125 0.0 0.0 0.0 1.0 6144.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1538047200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 11.0 0.0 4.0 0.0 4.0 0.0 3584.0 512.0 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 -3584.0 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 -1.2075187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.142301 0.0 3.3265076 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 -3332.0 0.0 1072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 11436.0 1072.0 16384.0 0.0 0.0 0.0 0.0 12.0 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 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.061523438 0.0069295005 0.001625655 0.001239708 0.0015028537 0.0008537612 0.0021811845 0.0009765625 0.00078943674 0.00050290045 0.0024209393 0.00036840382 0.00048535742 0.000309927 0.0038243826 0.00012864896 0.00032162238 0.0015964166 0.0010584301 0.004216177 0.0013742048 0.0002572979 0.001040887 0.000894695 0.0005730726 0.0003450131 0.0001754304 0.00029823167 0.00055552955 0.00052629114 0.0002572979 9.356288e-05 0.002754257 0.0004970528 0.0004327283 0.00024560254 0.0004619667 0.00021636415 0.00036840382 7.017216e-05 0.0018478668 0.00018712576 0.0004970528 0.0033156343 0.0032630053 0.0001754304 0.008011322 0.00013449663 0.0006081587 0.0016548934 0.037366673 0.007648765 0.0069470434 0.0064733815 0.0053740176 0.0094849365 0.00521613 0.00922179 0.0043389783 0.008163361 0.0063388846 0.0002280595 0.00039179454 0.0003157747 0.00020466879 0.00078943674 0.00036255614 0.0007543507 0.09082616 0.016905641 0.008876777 0.01244971 0.011560863 0.009379678 0.00667805 0.006058196 0.010052161 0.0056839446 0.0037834488 0.0087890625 0.009870883 0.0074733347 0.009414764 0.010075552 0.020168647 0.00829201 0.004912051 0.0062336265 0.00912238 0.008637023 0.005561143 0.007116626 0.0055786865 0.005145958 6.432448e-05 0.00039179454 0.00014619199 0.048103012 0.0073797717 0.003724972 0.008385573 0.012771333 0.0074733347 0.009976141 0.006064044 0.01000538 0.012753789 0.0067774607 0.012087154 0.0098591875 0.008122427 0.010864989 0.005297998 0.007935301 0.014578265 0.006005567 0.0067950035 0.006368123 0.007391467 0.006309646 0.0060815867 0.010824055 0.0139525635 0.004087528 0.0038711638 0.005841832 0.0004268806 6.432448e-05 0.0011636883 0.009654519 0.006075739 0.0031986807 0.0025788266 0.0015496351 0.0020174496 0.006257017 0.002994012 0.0043682167 0.0035319985 0.0026431512 0.0032630053 0.0030700318 0.0013215756 0.002830277 0.0024852639 0.000912238 0.0012923372 0.0020583833 0.0013800524 0.0018829529 0.001953125 0.004052442 0.0014853106 0.0017952377 0.001514549 0.0003742515 0.00065494014 0.00084206584 1.169536e-05 0.0003742515 0.00028068863 0.00025145023 0.00070756924 0.0001988211 0.00047366205 0.0004912051 0.0005145958 0.00018712576 0.00061400636 0.0003742515 0.00061400636 0.00036840382 0.0005496819 0.00032747007 0.0004268806 0.0008011321 0.0006607878 0.00055552955 0.0004034899 0.0001988211 0.0011578406 0.0003508608 0.00029238398 0.00024560254 0.0007017216 0.0002280595 0.0003976422 0.0008011321 0.0013274233 3.508608e-05 0.0029472306 0.0010701254 0.00011110591 2.339072e-05 0.046512444 0.009987837 7.017216e-05 2.339072e-05 3.508608e-05 2.339072e-05 0.00011110591 3.508608e-05 2.9238397e-05 3.508608e-05 8.77152e-05 4.093376e-05 2.9238397e-05 0.00038594686 0.00023975487 2.339072e-05 2.9238397e-05 2.339072e-05 0.00012280127 9.356288e-05 4.093376e-05 0.00011110591 0.00011695359 7.601984e-05 3.508608e-05 2.9238397e-05 8.77152e-05 2.339072e-05 0.00016958271 2.9238397e-05 0.00021636415 5.2629115e-05 1.754304e-05 0.010262677 0.00084206584 0.0030992702 0.00070756924 0.00043857598 0.0029998596 0.00021636415 3.508608e-05 1.754304e-05 9.941055e-05 3.508608e-05 0.00011110591 1.169536e-05 7.017216e-05 8.77152e-05 4.093376e-05 3.508608e-05 9.941055e-05 3.508608e-05 2.9238397e-05 2.9238397e-05 7.017216e-05 6.432448e-05 2.9238397e-05 2.9238397e-05 0.00011695359 1.754304e-05 7.017216e-05 4.093376e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.9414532e-06 0.000102950864 0.004779862 0.00071477314 0.00020296028 8.82436e-06 0.0 0.0 0.00021178465 0.0 0.0 0.0 0.0 0.0 2.647308e-05 0.0007294804 0.013204184 0.001979598 0.0011854057 0.00094714796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004197454 0.0001323654 0.00020590173 0.00046769108 0.0014648438 0.0011706984 0.0081184115 0.0013265954 0.00045592527 6.7653426e-05 0.0 2.0590172e-05 0.0004353351 2.9414532e-06 2.9414532e-06 2.9414532e-06 0.015957383 0.0019707738 0.0043033464 0.0037974163 0.023899307 0.007280097 0.021928534 0.006535909 0.003497388 0.0016001506 0.00018531155 0.00019707737 0.0047651543 0.00019707737 0.0001382483 0.0001323654 0.024537604 0.004120976 0.006053511 0.016680982 0.04010083 0.021584384 0.047598597 0.019528309 0.009915639 0.0047151498 0.00037356457 0.0002882624 0.014198395 0.0004529838 0.0003588573 0.0003353257 0.015710302 0.004450419 0.008900838 0.07759848 0.10798664 0.07616893 0.06515319 0.06320301 0.0094950115 0.0035768072 0.0005147543 7.941924e-05 0.012359987 0.00027355517 0.00019413592 0.000117658135 0.007944865 0.0018089938 0.0015972091 0.00060593936 0.0032297156 0.0073301014 0.012015837 0.005988799 0.0105657 0.0051298947 0.00014118975 0.0001323654 0.015380859 0.00015589703 0.0001382483 0.00012354105 0.0044474774 0.00057064195 0.00033238422 0.0015825019 0.00052652013 0.0004971056 0.0034767978 0.0011795228 0.003470915 0.0012589421 0.0007383048 0.0016678041 0.001350127 6.177052e-05 0.0028738 6.177052e-05 0.003868011 0.0004647496 0.00031473552 0.0042533414 0.0012354103 0.00079713383 0.0035768072 0.0021060805 0.007053605 0.0028237952 0.0020001882 0.0039327233 0.003367964 8.82436e-05 0.0062123495 7.3536336e-05 0.0023914014 0.0 8.236069e-05 0.0039121327 0.0021502024 0.0015560288 0.0063770707 0.0039797863 0.010421569 0.0033738469 0.0027208442 0.0044357115 0.004679852 0.0 0.00813606 0.0 0.0020796075 0.000117658135 0.0001823701 0.00079125096 0.00047357398 0.0002823795 0.0012530591 0.00090302614 0.0017589891 0.00062652957 0.0005412274 0.0006559441 0.0011265766 2.647308e-05 0.0012148202 1.4707267e-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 2081.0 52.76502 109804.0 0.00040982114 9.107136e-06 0.0 3.6428544e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.6428544e-05 0.0 0.012094277 0.0 0.000200357 0.0013660705 0.057256564 0.010892135 0.009872136 0.00884303 0.007285709 0.013697133 0.0069578523 0.01325999 0.0062930314 0.012340169 0.009343922 4.5535682e-05 9.107136e-06 0.0 2.7321408e-05 0.0010108921 0.00039160685 0.00063749956 0.14093293 0.026019089 0.013469455 0.01917963 0.01768606 0.014307311 0.010199993 0.008478744 0.015400168 0.008733744 0.0057192817 0.013178026 0.014052311 0.010400349 0.013205348 0.014316418 0.029589087 0.011128921 0.006875888 0.008888565 0.01345124 0.012303742 0.008560708 0.011019635 0.008515173 0.007914102 0.0 0.00048267824 9.107136e-06 0.061546028 0.006083567 0.0035791046 0.010227314 0.01701213 0.009826601 0.01274999 0.007613566 0.013587847 0.018196058 0.009835707 0.017376415 0.013433026 0.010655349 0.012285527 0.006147317 0.009853922 0.018879093 0.008005173 0.00877928 0.008287494 0.009261957 0.0073949946 0.008114458 0.014097847 0.019689629 0.006283924 0.0058376743 0.0090069575 0.0 1.8214272e-05 5.5904098 0.0 0.0 0.0 9.0 171008.0 196608.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1366387700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 168960.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -168960.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.41684 0.0 2.340658 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 -168884.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 176984.0 1024.0 180224.0 0.0 0.0 0.0 0.0 12.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.44345564 0.010979365 0.0111447545 0.014547976 0.016297296 0.012805018 0.011876288 0.013886415 0.01227068 0.0037276405 0.005845907 0.0025381034 0.004567314 0.0013358438 0.0020864608 0.008091398 0.0032887205 0.0010432304 0.0007760617 0.0008714791 0.001615735 0.0023790742 0.00080150634 0.0008714791 0.0015584845 0.00087784027 0.0012913158 0.0010686751 0.0013103993 0.00073153357 0.0011004809 0.0008333121 0.005635989 0.00096053537 0.001615735 0.0010368692 0.005801379 0.0014630671 0.0011004809 0.0009541742 0.0015203175 0.0017111524 0.0011322867 0.0014630671 0.0013040381 0.0012149818 0.0023281851 0.0012849546 0.003823058 0.0015839292 0.001501234 0.0017238747 0.0012722323 0.0012595099 0.0008905626 0.000591588 0.0012976769 0.0012722323 0.0009796189 0.0012404264 0.0011259256 0.00094781304 0.0010177859 0.0008523956 0.005922241 0.0012531488 0.0019210707 0.0014439836 0.0023154628 0.0034795552 0.002092822 0.00089692377 0.0014058166 0.0014121778 0.00082695094 0.00069972774 0.0021182667 0.0013867331 0.001342205 0.0008714791 0.0040711435 0.0018192921 0.0038930308 0.0025444645 0.0026080762 0.0017556805 0.0026780488 0.0032632758 0.0009350907 0.0018638202 0.0008396733 0.0011513702 0.0015330398 0.0015457622 0.0015457622 0.0014630671 0.0008333121 0.0025953539 0.0017874864 0.003155136 0.0035622504 0.0065265517 0.0012785934 0.0010368692 0.0016920689 0.0045037023 0.0022900181 0.00087784027 0.002722577 0.0019274319 0.0039757257 0.0034095824 0.0018447367 0.00048344827 0.0036195007 0.0038294191 0.008396733 0.0036640288 0.0012467876 0.0011513702 0.0014821506 0.0013231216 0.0010241469 0.0012404264 0.0016093738 0.0024808529 0.0014121778 0.0022327676 0.002366352 0.0011259256 0.0010877586 0.0035304446 0.001774764 0.0023790742 0.0015839292 0.0014121778 0.0019528766 0.0034604718 0.001501234 0.008263148 0.0018192921 0.00323147 0.0019337931 0.0038675861 0.0021564336 0.0015648457 0.0019147096 0.0020737385 0.0014821506 0.0018510979 0.0024554082 0.002601715 0.002366352 0.0024808529 0.0027925498 0.0021755171 0.003269637 0.0028943284 0.0028625226 0.0022391288 0.0030533574 0.0026971323 0.0023027405 0.0027034935 0.0026271597 0.0023536296 0.0027671051 0.0029643013 0.0032759982 0.0024935752 0.0023091016 0.0032505535 0.0020864608 0.0021564336 0.0019083484 0.0028688838 0.0017047912 0.001577568 0.0019274319 0.0013612885 0.0019528766 0.0015584845 0.001577568 0.0009923412 0.0017111524 0.00071881124 0.0008333121 0.0007760617 0.0006679219 0.0006043103 0.00076333934 0.0007251724 0.0018765426 0.0010877586 0.0022900181 0.0010495916 0.0010114247 0.0003435027 0.0011068421 0.0013612885 0.0007251724 0.00073789473 0.0005279764 0.0005406987 0.005559655 0.0006933666 0.00081422867 0.00045164244 0.000788784 0.0004580036 0.0005788657 0.00047072594 0.0006742831 0.00051525404 0.00079514517 0.0012022594 0.0007569782 0.00057250453 0.00047072594 0.001183176 0.000591588 0.0005406987 0.00071881124 0.00069972774 0.0007060889 0.00038166967 0.0004580036 0.00048344827 0.00053433754 0.00051525404 0.0005406987 0.00069972774 0.003632223 0.00096053537 0.0018002087 0.005826824 0.0008333121 0.00045164244 0.00056614337 0.0009160072 0.0012086206 0.00017175135 0.00050253177 0.001615735 0.0005216152 0.00050889293 0.0012531488 0.00050889293 0.0011322867 0.0005597822 0.000394392 0.00040711433 0.0011322867 0.00058522687 0.0013167604 0.008040508 0.13128662 4.818565e-05 7.3884665e-05 3.2123768e-05 1.6061884e-05 6.745991e-05 3.5336143e-05 6.4247533e-06 0.0 0.0 0.0 3.2123767e-06 0.0 3.2123767e-06 0.0 6.4247533e-06 0.05636436 0.0004657946 7.709704e-05 0.00067781145 0.00010279605 9.9583674e-05 0.0007838199 0.00014455695 0.00011885793 1.6061884e-05 6.4247535e-05 2.2486636e-05 3.2123768e-05 3.2123768e-05 0.00014455695 6.4247535e-05 0.030356959 0.0002634149 0.00022165399 0.00024092825 0.00017668071 0.00028268914 0.00051719265 0.00023771587 7.709704e-05 6.4247535e-05 3.854852e-05 6.745991e-05 8.9946545e-05 4.1760897e-05 6.745991e-05 0.00015098171 0.052464534 0.0002891139 0.0006167763 0.00097335014 0.0007741828 0.000571803 0.0015580027 0.00067781145 0.00020880449 0.00040797182 3.2123768e-05 4.4973272e-05 0.00015098171 0.00021522923 8.9946545e-05 0.00013491981 0.022078665 0.00035336142 0.00030196342 0.0005268298 0.00033408718 0.00035014906 0.0007581209 0.0002859015 0.00023129112 0.00012207031 8.9946545e-05 0.00013491981 0.00022165399 9.3158924e-05 0.00012207031 0.00031160054 0.031041196 0.0003694233 0.0007870323 0.00033408718 0.00051719265 0.00058144017 0.0019691868 0.0012142784 0.00044973273 0.00015098171 0.00027947678 0.00016383121 7.0672286e-05 0.00026983963 0.0009348016 0.00034051194 0.03280158 0.00023771587 0.0020109478 0.0013588354 0.0009412264 0.0007709704 0.0043913187 0.002113744 0.00040797182 8.0309415e-05 0.00011885793 6.1035156e-05 0.0003148129 4.818565e-05 0.00013813219 0.00025699014 0.034867138 0.0006007144 0.0014262953 0.0013588354 0.0018182052 0.001211066 0.0050337943 0.0024317692 0.0006424753 0.00023771587 0.00030838815 0.00020237973 0.00055574114 0.00029553866 0.00097335014 0.00066817435 0.016913163 0.0005782278 0.00071314763 0.0007292095 0.0009797749 0.0009026778 0.0017025596 0.00095728826 0.0006296258 0.00018631785 0.0002859015 0.00022165399 0.00058465253 0.00017668071 0.00030517578 0.00044973273 0.024205258 0.00087055407 0.0023225483 0.0011628803 0.0022807873 0.0018439041 0.005875437 0.0037488434 0.0004850689 0.00029553866 0.0003694233 0.00039512233 0.00044973273 0.0004850689 0.0005653783 0.00069708575 0.033868086 0.0022679379 0.0036267731 0.0019691868 0.0031706158 0.0026919716 0.006039268 0.0054128547 0.0061709755 0.0069483705 0.0055317124 0.0017539576 0.0014873304 0.0016929224 0.0013170744 0.001577277 0.063242055 0.0045166016 0.0076486687 0.0037424187 0.0052939965 0.0054128547 0.00690661 0.0075233863 0.010719701 0.009325529 0.00827187 0.003607499 0.004153603 0.0031706158 0.0040668687 0.0037135074 0.019627621 0.0030324836 0.004015471 0.0025988128 0.0032380756 0.0036267731 0.0019916736 0.0034822163 0.006848787 0.009633917 0.013540167 0.0035239772 0.0025313527 0.001313862 0.0043302835 0.002190841 0.024243807 0.0065789474 0.006720292 0.0057019684 0.009887695 0.015258789 0.004545513 0.008766576 0.014632376 0.010061163 0.013263904 0.009421901 0.009701378 0.0032766243 0.0063829925 0.009450812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 757.0 14.51387 10987.0 0.053790845 0.0040957495 0.014471648 0.0060070995 0.005096933 0.0059160828 0.0046418495 0.0040957495 0.012742332 0.013288432 0.008191499 0.008737599 0.008737599 0.007372349 0.014380632 0.010375898 0.016200965 0.006644216 0.009920816 0.0076453993 0.005005916 0.0040957495 0.0039137164 0.0021843996 0.0060070995 0.0024574497 0.0040047327 0.0036406661 0.007099299 0.006553199 0.006371166 0.0038226997 0.004186766 0.009283699 0.012742332 0.009010649 0.0054609994 0.012924365 0.008828616 0.0059160828 0.0061891326 0.0131974155 0.002912533 0.0025484664 0.007099299 0.005005916 0.0046418495 0.003731683 0.007463366 0.0013652499 0.0054609994 0.010921999 0.014744698 0.0030945663 0.0040957495 0.007372349 0.002639483 0.005096933 0.0027304997 0.0036406661 0.003731683 0.0030035498 0.0019113498 0.006371166 0.0016382998 0.021115864 0.016382998 0.021115864 0.025939748 0.060617093 0.009465733 0.0049148994 0.0067352327 0.04569036 0.0024574497 0.0024574497 0.02011468 0.014289615 0.03203786 0.024847547 0.0118321655 0.0019113498 0.027942114 0.035314463 0.05115136 0.015290799 0.007827433 0.008555566 0.005825066 0.012105215 0.008191499 0.009556749 0.0033676163 0.0068262494 0.005005916 0.0046418495 6.025509 4.0 0.0 0.0 6.0 157204.0 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


Input: 0.36865234 0.017089844 0.015066965 0.009626116 0.014997209 0.0055106026 0.01046317 0.0068359375 0.0055803573 0.006626674 0.014578683 0.0015345982 0.0013253348 0.001813616 0.0027901786 0.0025111607 0.0029296875 0.0057896203 0.00390625 0.0024414062 0.0014648438 0.0009765625 0.0018833706 0.0034877232 0.004673549 0.0018833706 0.0004185268 0.0009765625 0.0009765625 0.0016741072 0.0012555803 0.00055803574 0.0047433036 0.0013950893 0.0009765625 0.0013253348 0.0013950893 0.0012555803 0.0017438616 0.0011858259 0.012276785 0.0023716518 0.0041155135 0.0017438616 0.002232143 0.0011858259 0.007952009 0.0056501115 0.0038364956 0.001813616 0.0008370536 0.0011160715 0.0009765625 0.0010463169 0.0004185268 0.00062779017 0.0011858259 0.00034877233 0.00034877233 0.0011858259 0.00048828125 0.0004185268 0.00027901787 0.00027901787 0.0011858259 0.0076032365 0.000906808 0.0039760047 0.0032087055 0.0030691964 0.0016741072 0.0023018974 0.0013253348 0.0043945312 0.002232143 0.00027901787 0.008370535 0.002580915 0.0016741072 0.0050223214 0.00069754466 0.0011858259 0.0023716518 0.0043247766 0.0057896203 0.0013950893 0.0013950893 0.00034877233 0.0011858259 0.0008370536 0.00069754466 0.00027901787 0.00034877233 0.00013950893 0.0 0.007952009 0.0009765625 0.019740513 0.006766183 0.022251675 0.014090402 0.043247767 0.009765625 0.00453404 0.005092076 0.02232143 0.0014648438 0.0013950893 0.018345425 0.0059291297 0.015485491 0.014997209 0.00655692 0.00027901787 0.026994977 0.012137277 0.020438058 0.0041155135 0.0056501115 0.0013253348 0.00027901787 0.010184152 0.00034877233 0.0008370536 0.0004185268 0.00048828125 0.0039760047 0.0008370536 0.0020926339 0.00048828125 0.0002092634 0.00069754466 0.00027901787 0.0002092634 0.00048828125 0.00027901787 0.00013950893 0.0 6.975447e-05 0.00013950893 6.975447e-05 0.00034877233 0.0004185268 6.975447e-05 0.0004185268 0.0010463169 0.00013950893 0.00013950893 0.0002092634 6.975447e-05 0.0007672991 6.975447e-05 0.00034877233 6.975447e-05 0.0002092634 6.975447e-05 0.00055803574 6.975447e-05 6.975447e-05 0.0 0.00055803574 0.00034877233 0.0002092634 0.0002092634 0.0002092634 0.0 0.0008370536 0.00013950893 6.975447e-05 0.0004185268 0.00013950893 0.0011858259 0.00013950893 0.0 0.00013950893 0.0 0.00027901787 0.0002092634 0.0002092634 0.00013950893 0.00013950893 0.0 6.975447e-05 0.00013950893 0.0002092634 6.975447e-05 0.00013950893 0.00013950893 0.00034877233 6.975447e-05 6.975447e-05 0.0 0.00013950893 0.0004185268 0.00027901787 0.0002092634 0.0008370536 6.975447e-05 0.00062779017 0.0002092634 0.00013950893 0.0002092634 0.00013950893 6.975447e-05 0.0002092634 0.0004185268 6.975447e-05 0.00013950893 0.00048828125 0.00034877233 0.0 0.00013950893 0.00027901787 0.00013950893 0.0 0.0002092634 0.0 0.00055803574 0.00013950893 6.975447e-05 6.975447e-05 0.00027901787 0.00013950893 6.975447e-05 0.00062779017 0.00013950893 0.0002092634 0.0008370536 0.00027901787 0.00013950893 0.00034877233 6.975447e-05 6.975447e-05 0.00013950893 0.0004185268 0.0002092634 0.00034877233 6.975447e-05 0.0 0.00013950893 6.975447e-05 0.00034877233 0.0 0.0002092634 0.0002092634 0.00048828125 0.0 6.975447e-05 0.0007672991 0.00027901787 0.00013950893 0.00013950893 0.0 6.975447e-05 0.0013950893 0.00048828125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.060659554 0.00015024039 0.0012770433 0.0009765625 0.0018028846 0.000788762 0.0081881005 0.002704327 7.5120195e-05 3.7560098e-05 3.7560098e-05 7.5120195e-05 0.0 0.0 3.7560098e-05 0.00011268029 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.106933594 0.010817308 0.018704928 0.0025916467 0.0096905045 0.004657452 0.041353665 0.030423678 0.0017653245 0.0002629207 0.00030048078 0.00037560097 0.00056340144 0.0008638822 0.0005258414 0.0009390024 0.12653996 0.0068359375 0.012282152 0.0050706128 0.018742489 0.0113431495 0.081430286 0.036846455 0.0016902044 0.0017653245 0.0006385216 0.00045072116 0.0013897235 0.00037560097 0.0010892428 0.0012019231 0.10854868 0.0105919475 0.012657752 0.0046198918 0.012357271 0.0069486178 0.04691256 0.01588792 0.0017653245 0.0017277644 0.0021033655 0.000788762 0.0016526442 0.0009765625 0.0016902044 0.001539964 0.05434946 0.008150541 0.0069486178 0.0024789663 0.010028546 0.0070988582 0.04285607 0.014535757 0.0007136418 0.0006385216 0.0018404447 0.0005258414 0.000788762 0.0008638822 0.0009390024 0.0010892428 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 194.0 21.402061 4152.0 0.0040944126 0.00024084779 0.00024084779 0.00072254334 0.0014450867 0.00096339115 0.00024084779 0.0 0.002408478 0.0016859345 0.00072254334 0.00072254334 0.00048169558 0.0014450867 0.013969172 0.010356455 0.0028901733 0.00096339115 0.0014450867 0.0026493256 0.0019267823 0.00072254334 0.00096339115 0.00048169558 0.001204239 0.00096339115 0.00096339115 0.0019267823 0.00048169558 0.00024084779 0.00024084779 0.0 0.00048169558 0.016618498 0.00216763 0.009874759 0.00867052 0.005539499 0.002408478 0.0074662813 0.003371869 0.012283237 0.00216763 0.0 0.019749518 0.0062620426 0.0038535646 0.012524085 0.001204239 0.0 0.006743738 0.010597303 0.0072254334 0.0019267823 0.002408478 0.00048169558 0.001204239 0.00048169558 0.00072254334 0.00024084779 0.0 0.0 0.0 0.02601156 0.00096339115 0.051541425 0.019267824 0.055876687 0.038535647 0.12138728 0.024566473 0.011319846 0.012524085 0.05659923 0.004576108 0.0036127167 0.046001926 0.014932563 0.04118497 0.038294796 0.011319846 0.00048169558 0.06671484 0.03034682 0.059489403 0.012524085 0.016618498 0.0038535646 0.00096339115 0.025770713 0.00024084779 0.0 0.0 0.0 0.0 0.0 5.0730805 0.0 0.0 0.0 1.0 14336.0 40960.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1519418600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 11776.0 512.0 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 -11776.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5177364 0.0 3.1968234 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 -11412.0 0.0 1108.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 19512.0 1108.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0