Input: 0.15350479 0.014249074 0.0064613586 0.0062222006 0.016937815 0.0053256126 0.0034723924 0.0027040713 0.011907828 0.0021432252 0.0017443727 0.0017878094 0.008152585 0.0023011307 0.001707579 0.02356219 0.012411696 0.004553459 0.0012136765 0.0013646835 0.0055905776 0.0016661863 0.0016712965 0.00096302043 0.0046842806 0.0009660866 0.0007466027 0.0010143782 0.0043970863 0.00082146743 0.0009990474 0.00095484406 0.0070053414 0.000693201 0.00079668284 0.00087154756 0.029474711 0.0012591576 0.00056186836 0.0006017281 0.00290337 0.000788251 0.001836612 0.0017617474 0.0023862158 0.00095688814 0.0010235765 0.0009226497 0.0025563862 0.0007701097 0.00092750444 0.0042210394 0.0019541471 0.0011303801 0.00065283023 0.00066483923 0.002141692 0.0017379848 0.0010013471 0.004310724 0.0029692918 0.0014490021 0.00079617184 0.0015731803 0.005000603 0.002466702 0.001503937 0.0014911614 0.0112074725 0.00343611 0.0043217107 0.0017351742 0.0031192766 0.00297849 0.0008516177 0.000823256 0.005047617 0.0020839465 0.0019710108 0.0012451044 0.007490812 0.0040904735 0.0028532897 0.0034016161 0.00521421 0.0032048726 0.0065518096 0.0041341656 0.0024089564 0.0029194672 0.004753013 0.0023606648 0.005415808 0.003281526 0.004619636 0.0053710938 0.0015220782 0.003575108 0.0011809712 0.002130194 0.0032317014 0.0056774514 0.0043932535 0.0015177345 0.0061846403 0.0033397824 0.008955144 0.0017893425 0.004965598 0.0030405791 0.0033622673 0.0032288907 0.0028149632 0.0006497641 0.004068755 0.0034182242 0.0114545515 0.0068200957 0.0017050239 0.0024391066 0.0016942925 0.0012282407 0.0014617776 0.0009625094 0.0040549575 0.001753571 0.0020755148 0.0018491321 0.004408073 0.0021105197 0.0011331907 0.01630977 0.003552112 0.006622586 0.0013151144 0.00070061075 0.0034128586 0.011665093 0.0014017326 0.031759232 0.001318436 0.0067679714 0.0009791176 0.00065359677 0.0013792476 0.00045480934 0.001775545 0.0005273744 0.0011331907 0.00071773 0.00071159774 0.00044893258 0.0007340827 0.00070623204 0.00042900274 0.0005559916 0.0015351092 0.001174839 0.0013115372 0.0005455157 0.0011710062 0.0015509509 0.0003620589 0.0007782861 0.00089275494 0.00044663297 0.00049492455 0.0006329004 0.00094896735 0.000494669 0.0007604003 0.00040421818 0.0007366378 0.0003293535 0.00039220916 0.00064363185 0.0012887968 0.00080869184 0.00039757488 0.00040600676 0.0008613271 0.0005153654 0.0023029193 0.0010240875 0.0019822533 0.0008546838 0.0005779656 0.00049492455 0.000764744 0.0006878352 0.0008454854 0.0009530555 0.007910872 0.0038738002 0.0026910403 0.0063167396 0.009361407 0.0008043482 0.0022295876 0.0044090953 0.0022339313 0.0025906246 0.0013401544 0.0009154954 0.027742347 0.0007948943 0.0012836866 0.0008871337 0.0020849686 0.0015116022 0.0019398384 0.00096864166 0.001141367 0.00054270506 0.0010230655 0.0006745487 0.0028037205 0.008261943 0.00073025003 0.0018872032 0.0011234812 0.0020530298 0.001306938 0.00074506964 0.0017052795 0.0017701793 0.0009985365 0.0017448836 0.0019227192 0.0016661863 0.00093568076 0.0010031356 0.01462442 0.0027845574 0.0009780956 0.003695198 0.002822884 0.0014796634 0.0014520682 0.001283942 0.0023519774 0.0012338619 0.006391604 0.0068809073 0.001505981 0.0009875494 0.0026915513 0.002167754 0.0030543767 0.0014421033 0.0009916376 0.0013887015 0.0022643371 0.0017384959 0.0024815213 0.07051819 0.005230909 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0669328e-06 0.0005236788 4.9070924e-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 0.00047435227 0.00024292663 4.0892437e-06 4.2170327e-06 1.2778887e-07 4.728188e-06 0.0 1.2778887e-07 1.2778887e-07 4.0892437e-06 0.0 2.5557773e-07 2.5557773e-07 0.0 2.5557773e-07 1.2778887e-07 3.833666e-07 0.0021707495 9.967532e-06 1.5973608e-05 3.705877e-05 6.9005987e-06 0.0001067037 1.0862053e-05 1.3034464e-05 0.00012127163 1.5973608e-05 1.3417831e-05 4.6003993e-06 3.0669328e-06 1.3162253e-05 0.00025033837 0.00060916954 0.0039677164 3.1691638e-05 2.9391438e-05 0.00029774805 2.7091239e-05 0.00070283876 2.7602395e-05 2.9519228e-05 0.0006174758 3.028596e-05 2.5302195e-05 9.073009e-06 5.3671324e-06 2.6452295e-05 0.00062603765 0.00035090823 0.006997463 0.00025199965 7.437312e-05 0.0001881052 0.00022669745 0.0004854699 0.00010235888 4.7920825e-05 0.00037224896 5.2393436e-05 7.718447e-05 3.9870127e-05 2.6835662e-05 2.2235263e-05 0.00057913916 0.0024944386 0.024890332 0.0017765207 0.0003156385 0.000330462 0.0006391999 0.00095432723 0.0036892644 0.0016051559 0.0006186259 0.00025544994 0.00016114175 0.00016433648 0.00012817224 0.00017954335 0.00046566263 0.02192614 0.020093905 0.0013338602 0.0016054115 0.0005543481 0.00059881865 0.0017937723 0.008570032 0.0048241573 0.00064098893 0.0002640118 0.00036228143 0.00019602812 0.00015194096 0.00029391437 0.0011532945 0.009382131 0.009614323 0.0005327518 0.0017312835 0.0006251431 0.0008224491 0.0011447327 0.006319926 0.0032935024 0.00038068302 0.00024343778 0.00017277054 0.00015462452 0.00010938727 0.00017749873 0.00068469276 0.0035662039 0.0067288503 0.0003305898 0.0017030422 0.0005685327 0.0011049903 0.000842512 0.004287061 0.0022935546 0.00022158588 0.00040790206 0.00024049864 0.00016011945 0.00024969943 0.00024918828 0.00037927734 0.0030015048 0.007426322 0.00063076586 0.0018600947 0.00064571714 0.0014661216 0.0009967531 0.0033824435 0.0017839326 0.00050093234 0.000564699 0.0002514885 0.00024049864 0.00061696465 0.0003856668 0.0005450195 0.0022566235 0.009057292 0.0011094629 0.0014836288 0.00090142264 0.0017047034 0.0010279337 0.0031728698 0.0011599396 0.001151122 0.0010088931 0.00041339698 0.00066130736 0.0010211609 0.0008720312 0.0021118387 0.004548389 0.016893944 0.0026126434 0.0032248797 0.0019632203 0.0031312106 0.0042885942 0.0040649637 0.002650341 0.006453082 0.0010100432 0.000805581 0.0011936758 0.005919819 0.0021823782 0.005217108 0.0077420883 0.08866745 0.019251265 0.023129912 0.010877132 0.022095334 0.030835964 0.012265303 0.014794883 0.04621625 0.0045376546 0.00335663 0.0059516383 0.038714148 0.013870587 0.014855072 0.027968893 0.058475416 0.014967143 0.017495701 0.010264002 0.016240431 0.023677487 0.010824995 0.014527166 0.035870206 0.004669022 0.004115696 0.004833869 0.027379276 0.009372546 0.012824763 0.022083322 0.0016483485 0.0011847306 0.0011691403 0.0015944217 0.0011987874 0.0012214059 0.0013433165 0.0014118113 0.00096442254 0.0010840329 0.0010462074 0.0011564892 0.0010778991 0.0011576393 0.0011815359 0.0011881809 15840.0 15.215719 241017.0 0.057062365 0.0006555554 0.0021948658 0.001319409 0.017646058 0.0048253858 0.00039831214 0.0013899434 0.005331574 0.0034561877 0.0012281291 0.0012447254 0.0030371302 0.005522432 0.0048170877 0.00097503496 0.0037383256 0.0019500699 0.0019210263 0.0028587196 0.0020330516 0.0016886776 0.0010331222 0.00064310816 0.002688607 0.0028670176 0.004493459 0.0043274956 0.0022736986 0.0017509138 0.0009252459 0.001755063 0.004597186 0.0068044993 0.0024521092 0.005132418 0.009791841 0.0062277764 0.0048502805 0.003422995 0.002833825 0.005319127 0.0012364273 0.0010497185 0.0079413485 0.0035059769 0.0035599149 0.0034395915 0.009484808 0.0048668766 0.007953796 0.011140293 0.0078044287 0.005182207 0.008717228 0.0067837536 0.0023649784 0.003182348 0.0010704639 0.0035599149 0.0046096332 0.0036843873 0.0040827 0.042366307 0.0013816453 0.045905475 0.010600912 0.024396619 0.02792749 0.079513066 0.015222993 0.017085932 0.015625454 0.041694153 0.004605484 0.0055431775 0.03169486 0.017712444 0.041022003 0.043793593 0.021629179 0.001174191 0.047851395 0.037188247 0.057659835 0.023089658 0.008625948 0.007045146 0.0072526005 0.009820884 0.0015185651 0.00045225024 0.0024396619 0.0008547115 0.0018380446 0.0007634316 5.548587 28.0 3.0 0.0 12.0 3913728.0 6324224.0 1.0 0.0 309.0 0.0 1.0 0.0 0.0 0.0 1472558200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 2768384.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 872448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172544.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 -2768384.0 0.0 98816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.552296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7475615 0.0 0.0 0.0 0.0 0.0 0.0 0.54356444 0.0 -6.674828 0.0 4.3504105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 872178.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2572228.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 -2767985.0 0.0 98588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 3638188.0 98588.0 6221824.0 0.0 0.0 5088.0 3935744.0 0.0 0.0 28.0 2774592.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 3606984.0 0.0 0.0 1296.0 2772992.0 64.0 3638060.0 0.0 0.0


Input: 0.056679722 0.008309394 0.0061750896 0.0056510926 0.005758791 0.004967618 0.0041950843 0.0054232674 0.00504425 0.005623132 0.0037487547 0.0044674384 0.00495312 0.0031729792 0.004320388 0.004639343 0.005037001 0.003762217 0.004935515 0.0041640173 0.004360775 0.0031791925 0.0041080965 0.0038347067 0.00508153 0.0033407412 0.003170908 0.0029327276 0.0041422704 0.0034308354 0.003786035 0.0037922487 0.0061730184 0.0038191734 0.003491934 0.0030269641 0.004882701 0.004161946 0.003841956 0.0037228656 0.004730473 0.0038906275 0.0033345276 0.0031035962 0.004363882 0.0037176877 0.003727008 0.0035830638 0.0055143973 0.0039496548 0.0030932405 0.0028923403 0.0036721227 0.003081849 0.002687298 0.00286438 0.004172302 0.0033127808 0.0035136808 0.0033500611 0.004006611 0.003233042 0.0035022895 0.0034577602 0.006599672 0.003951726 0.0036224155 0.0032268288 0.0041567683 0.0032185442 0.0035374989 0.003063209 0.004998685 0.003767395 0.003707332 0.0035809928 0.0041370927 0.003130521 0.0035582103 0.0034660448 0.0051695537 0.0036224155 0.0036441623 0.0033262433 0.0039258366 0.0033831995 0.0033521324 0.0035385345 0.004645556 0.0036503759 0.0038088176 0.0035053964 0.0041070613 0.0033800926 0.0036876563 0.0037881064 0.005907913 0.0036317357 0.0033397055 0.0029503321 0.00401386 0.0030549245 0.0032703225 0.0030373198 0.0049727955 0.0031646946 0.0031905838 0.0030497466 0.0035737439 0.002840562 0.0030911693 0.0031916194 0.00450679 0.0032920693 0.0032206152 0.0031356986 0.003880272 0.003324172 0.003283785 0.0036265578 0.0046269163 0.003293105 0.0034712227 0.0031678013 0.0040366426 0.0031936904 0.0034660448 0.0033448834 0.008641812 0.004595849 0.004019038 0.003523001 0.004365953 0.0034453333 0.0030207506 0.0033873417 0.0045440705 0.0038409203 0.0029679367 0.0031822992 0.003729079 0.002797068 0.0028374551 0.002977257 0.005225474 0.003214402 0.0034908983 0.0030269641 0.0036700517 0.0031843705 0.0033044962 0.0032703225 0.0045492486 0.0028395264 0.003048711 0.002696618 0.0035116097 0.0032247575 0.0029782925 0.003149161 0.005012147 0.003415302 0.0032692868 0.0028012104 0.0037715372 0.0030145373 0.0030590666 0.0031843705 0.0041370927 0.002993826 0.0031263786 0.0030186796 0.0036503759 0.002840562 0.0029182294 0.003039391 0.0046693743 0.003118094 0.0038429913 0.0028519533 0.0035654593 0.0031646946 0.0029824348 0.0031170584 0.0042541116 0.0031512321 0.0033324566 0.0031791925 0.003652447 0.003199904 0.003331421 0.0033428122 0.0067125494 0.0040614964 0.00372183 0.0033345276 0.004128808 0.0032661802 0.0033024251 0.0032361487 0.0043307436 0.0033407412 0.003123272 0.0030766714 0.0036410557 0.0029876125 0.003077707 0.0027981037 0.0042520408 0.0032744647 0.0030994539 0.003003146 0.0037125098 0.0030217862 0.002933763 0.0029472255 0.0039745085 0.0031129161 0.0027297563 0.0026365551 0.0035385345 0.0029534388 0.0035882418 0.0028819847 0.004955191 0.00324754 0.003395626 0.002972079 0.0038108889 0.003072529 0.0032040463 0.0029109805 0.004446727 0.0054522636 0.0034691514 0.0031315563 0.0037953553 0.003087027 0.003245469 0.0031802282 0.0046113827 0.003324172 0.0034121952 0.0030404264 0.0037404702 0.0030880626 0.0033210653 0.0032465043 0.004353526 0.00304664 0.0031822992 0.0028612732 0.0040169666 0.0030932405 0.0042292583 0.0045150747 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09917293 0.062015347 0.062453866 0.055310033 0.0606013 0.059529882 0.054954965 0.054446988 0.060470678 0.053165637 0.05215642 0.052961927 0.05645143 0.050579615 0.056671727 0.053855557 4034.0 5.7032723 23007.0 0.017168688 0.0106054675 0.009431912 0.008649541 0.013517625 0.012430999 0.011822489 0.011474769 0.012561394 0.009736167 0.008562611 0.008823401 0.01382188 0.010518538 0.011692094 0.009866563 0.016647108 0.011909419 0.008693007 0.0074759857 0.009866563 0.008562611 0.007910636 0.008388751 0.010214282 0.008519147 0.009562307 0.008910332 0.011431304 0.009040726 0.009562307 0.009301517 0.018211849 0.0108227935 0.010388142 0.009040726 0.0108227935 0.008866867 0.010735863 0.008301822 0.014213066 0.011648629 0.009736167 0.008953797 0.011518233 0.009301517 0.011648629 0.009562307 0.014734646 0.009562307 0.009953492 0.009040726 0.012126744 0.009388447 0.009518842 0.009736167 0.01364802 0.009214587 0.010562003 0.009562307 0.011127048 0.009779632 0.010431608 0.010648933 0.017951058 0.010996653 0.009692702 0.008171426 0.01303951 0.008214891 0.009344982 0.008301822 0.0153866215 0.009301517 0.008910332 0.008693007 0.011344373 0.008127961 0.010040423 0.007823706 0.013126439 0.008041031 0.008649541 0.008823401 0.011387838 0.009388447 0.008301822 0.0080844965 0.011083583 0.008866867 0.011865954 0.008432216 0.011257444 0.0089972615 0.010083888 0.0087799365 6.554888 0.0 0.0 0.0 14.0 965654.0 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: 0.35289493 0.08514241 0.016941207 0.0038144544 0.0076592723 0.0020350348 0.0069355 0.002292768 0.0042946152 0.0052408148 0.020324927 0.001371283 0.00091159955 0.0014828498 0.001638196 0.0011996961 0.00085511006 0.0028626062 0.0012893731 0.0012427693 0.0014228297 0.0010436438 0.004243069 0.0024926 0.00073365757 0.0009412565 0.0005514789 0.0008911221 0.00068422925 0.00067222526 0.0011530922 0.003116809 0.008202278 0.0004907527 0.00056418905 0.0019185252 0.00032481473 0.00034811665 0.0014390704 0.002249695 0.0066876523 0.001525923 0.0021480138 0.002397274 0.0020512755 0.00090806896 0.0008925343 0.00038554094 0.0011778064 0.00070611894 0.00043779376 0.00076472684 0.00048722207 0.00072094746 0.00046674462 0.00036647572 0.0017857748 0.00049710774 0.00040319393 0.00037494916 0.00028032923 0.0011029578 0.00036435737 0.00032622696 0.0016134818 0.0014390704 0.00048298537 0.0013606912 0.0012011083 0.0010062195 0.0008296898 0.00037000634 0.00027538638 0.0012455938 0.00032693308 0.00028244758 0.0010062195 0.00045615283 0.001685506 0.0010641213 0.0005740747 0.00041802242 0.0013599851 0.0013070261 0.0008501672 0.00051899743 0.0003099862 0.0004702752 0.00038977765 0.00042225912 0.00027326803 0.0008974772 0.00022172135 0.001086011 0.00026973744 0.0036287452 0.00040460617 0.0066283387 0.0011135496 0.0032700368 0.0027199702 0.0063600135 0.0015449882 0.002433992 0.0006644579 0.005277533 0.00036859408 0.00041872854 0.004742295 0.0017554117 0.0045502307 0.020874288 0.0064609884 0.00037494916 0.009837649 0.0055070217 0.0070851976 0.0028032921 0.00081344903 0.0014927355 0.00029303937 0.00040107555 0.0011121373 0.0046653277 0.00039118988 0.0010231663 0.0008960649 0.00030010054 0.0012018144 0.0008791181 0.00028103535 0.00054159324 0.0005620707 0.00044979778 0.0014454254 0.00033611263 0.000160289 0.00035800232 0.00014546051 0.00029727607 0.0011255536 0.00040390005 0.00024926 0.0001828848 0.00013628096 0.00023937432 0.00014263602 0.00027468026 0.00017299913 0.00042932032 0.00015181558 0.00019912554 0.00064044987 0.0004370876 0.000611499 0.00035517782 0.0006002011 0.00030080666 0.00023796209 0.00017652973 0.00039330826 0.00029303937 0.0005514789 0.00022525195 0.00010238725 0.0004956955 0.00011015456 0.00024078655 0.00011156679 0.00034458603 0.000112272915 0.0010055134 0.00037847974 0.00021819075 8.967711e-05 0.00049357716 0.00014969721 0.00019700719 0.00013698707 0.00044556105 0.00014546051 0.00024008044 0.0001341626 0.00017935422 0.00015958288 0.00022313358 0.00028103535 0.00031775353 0.00012427694 0.00034882277 0.00014192991 0.00017652973 0.00042296524 0.00052323414 0.00012992589 0.0001715869 0.00027468026 0.00024290492 0.00036930022 0.00019630107 0.00014475438 0.0004773364 0.00019135824 0.0003883654 0.00014616663 0.0002238397 0.00012427694 0.00020548061 0.0002902149 0.0003608268 0.000261264 0.00041590407 0.0003615329 0.00034741053 0.00011156679 0.00025843954 0.0002160724 0.00041590407 0.0005260586 0.00015464005 0.0005027567 0.00020336226 0.00037565528 0.00030645562 0.0008925343 0.00038130424 0.000914424 0.0014567234 0.0001489911 0.00024714164 9.6738295e-05 0.00015181558 8.826487e-05 0.0018076645 0.0001751175 0.00019841942 0.00012074634 0.0003721247 0.00016593795 0.00036718184 0.00021042344 0.0026910193 0.0008699385 0.00094761164 0.0001228647 0.0002873904 0.00031775353 0.000593846 0.0001193341 0.00034458603 9.2501585e-05 0.0016276041 0.001436952 0.000409549 0.00016311348 0.23514749 0.008683068 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001350723 0.0 2.1198896e-06 7.0662986e-07 0.0 0.0 0.0 0.0 7.0662986e-07 0.0 0.0 0.0 7.0662986e-07 0.0 7.0662986e-07 9.150857e-05 0.0018587899 3.5331493e-07 9.186188e-06 8.832873e-06 4.593094e-06 5.2997243e-06 2.1198897e-05 1.6605802e-05 3.5331493e-07 0.0 3.5331493e-07 0.0 3.5331493e-07 0.0 7.0662986e-07 0.00024414062 0.1209556 7.1722934e-05 4.0277904e-05 3.8511327e-05 2.2612156e-05 7.278288e-05 0.000101754704 2.5791991e-05 3.2504973e-05 1.6252487e-05 6.677653e-05 4.2397794e-05 3.1091717e-05 2.7558566e-05 4.593094e-05 0.09548513 0.10502251 0.00017842404 0.00021658206 0.00033847571 0.00013531963 0.00018831686 0.00043846385 0.00028724506 0.00014909891 0.00026392625 0.0002582732 0.00022435498 0.00035614145 0.00019962294 0.00048121496 0.11412744 0.033752177 0.00014768564 0.00012895996 0.00039076633 9.786824e-05 0.00013602625 0.0004278644 0.00015651852 0.00021128234 0.00024414062 0.000627134 0.0003692141 0.0004017191 0.00027735223 0.00029643124 0.022392748 0.008294421 3.8864644e-05 5.2997242e-05 9.5041716e-05 0.0009175589 0.00097267603 0.007931567 0.0029975239 5.653039e-05 0.000153692 0.0003098572 8.1262435e-05 7.0309674e-05 0.00012719337 0.0001158873 0.0038338203 0.014582368 0.00023318786 0.0015475195 0.0002550934 0.0024830974 0.0023304652 0.017161567 0.008387343 0.00021092902 0.00025615335 0.000519373 8.903536e-05 3.0385085e-05 5.5823763e-05 7.066299e-05 0.0002674594 0.107997075 0.0061211814 0.0146812955 0.0027078057 0.007390995 0.00621587 0.024829915 0.014049922 0.0018877618 0.0010398058 0.000807678 0.00079990504 0.00056601054 0.0017874202 0.0013418902 0.0031445029 0.08103278 0.012983617 0.00992285 0.0034600133 0.0016510407 0.001607583 0.009582608 0.01478199 0.002867504 0.0014906358 0.0011765388 0.00076528016 0.0010617113 0.001210457 0.0029802115 0.004655278 0.019908944 0.003211986 0.0042524985 0.0018481904 0.0011677059 0.0006882575 0.0015136012 0.0017619816 0.0020838515 0.0008468959 0.00091861887 0.00050736027 0.0007430213 0.0007401948 0.0016185357 0.0008801075 0.008763623 0.0009592501 0.0011850183 0.0008511357 0.0006384401 0.00061830116 0.00077693956 0.0006186545 0.0010027078 0.0006716517 0.000378047 0.00035119505 0.00068861083 0.0004370506 0.00051442656 0.00035826134 0.0010288531 0.00020103621 0.00024166743 0.0001890235 8.196907e-05 0.00010917432 0.00031798345 0.00021587544 7.4549454e-05 4.699089e-05 3.3211603e-05 8.903536e-05 8.373564e-05 8.868205e-05 5.935691e-05 3.3211603e-05 0.0007380749 4.4870998e-05 0.00024661384 8.090912e-05 5.6883706e-05 5.865028e-05 4.1337848e-05 0.0001561652 4.73442e-05 7.8435914e-05 7.207625e-05 8.302901e-05 0.00020068289 0.00015969835 6.112349e-05 4.4870998e-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 3234.0 17.3222 56020.0 0.0022848982 8.925384e-05 0.00053552305 0.00028561227 0.00014280614 0.00023205997 0.00019635844 3.5701534e-05 5.3552303e-05 3.5701534e-05 0.00026776153 0.00024991075 0.0013566583 0.00041056765 0.0043198857 0.00014280614 0.001981435 0.0016244198 0.000767583 0.0007318815 0.0008746876 0.0008211353 0.00041056765 0.00064262765 0.00035701535 0.0006247769 0.00016065691 7.140307e-05 0.00032131383 0.0011424491 0.00032131383 5.3552303e-05 1.7850767e-05 0.008014995 0.0029632275 0.019171724 0.008211353 0.0042841844 0.0075508747 0.0022848982 0.0009103891 0.00558729 1.7850767e-05 0.000999643 0.0023563013 0.001463763 0.007836487 0.003927169 0.004159229 0.00021420921 0.015262406 0.012745448 0.006765441 0.0010888968 0.001999286 0.00064262765 0.000767583 5.3552303e-05 7.140307e-05 0.0 0.00033916457 3.5701534e-05 1.7850767e-05 0.035487328 0.00017850767 0.07404499 0.00976437 0.032095682 0.030828275 0.09866119 0.013227419 0.028025705 0.006390575 0.05162442 0.00021420921 0.0031060337 0.052713316 0.02420564 0.058175653 0.07859693 0.013798643 0.0011960014 0.05396287 0.03696894 0.09280614 0.030132096 0.0070153517 0.010764013 0.0024098537 0.0045519457 0.0077115316 0.0 0.0 1.7850767e-05 0.0 1.7850767e-05 4.8175464 3.0 0.0 0.0 1.0 1416192.0 1441792.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1496854900.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 6.0 0.0 1042944.0 512.0 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 -1042944.0 0.0 372224.0 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 -4.656518 0.0 1.6974717 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 -1042660.0 0.0 371824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 1050768.0 371824.0 1056768.0 0.0 0.0 0.0 0.0 12.0 1433600.0 28.0 1050456.0 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: 0.47581807 0.020115586 0.0067318776 0.004610656 0.0036180841 0.0030897798 0.019523246 0.0018410605 0.004362513 0.0016169314 0.0031778305 0.0011766778 0.0009605533 0.0012967469 0.0015128714 0.0013527792 0.004810771 0.0016569544 0.0025854893 0.0017530097 0.0013127561 0.0014888576 0.0007524334 0.0007364242 0.0028336323 0.0017209913 0.0007124104 0.0009525487 0.0007444288 0.0011606686 0.0005202997 0.00088050717 0.0054191216 0.00063236424 0.0008965164 0.0010165855 0.0045386143 0.00076043804 0.0009685579 0.00133677 0.0035220287 0.0012487193 0.0018810835 0.00086449797 0.0021932633 0.0011126408 0.0055552 0.0007284196 0.009637551 0.0026014985 0.0013127561 0.0031378074 0.0019851434 0.0016329406 0.0013047515 0.0013527792 0.0023693647 0.0016969774 0.0007364242 0.00085649337 0.0003762167 0.0015288807 0.00064036885 0.00039222592 0.0022412909 0.002505443 0.016721632 0.0027455816 0.002281314 0.002281314 0.0012407147 0.001376793 0.015112705 0.0030337474 0.00048828125 0.001192687 0.0022973232 0.0020811989 0.00076043804 0.0013928022 0.0032818904 0.00042424435 0.00133677 0.003329918 0.00144083 0.0011126408 0.0014648438 0.0009525487 0.0015849129 0.0005443135 0.00033619365 0.001152664 0.0006883965 0.0007444288 0.0006003458 0.00093653944 0.0017610143 0.00401031 0.0026175077 0.0035460426 0.00256948 0.01038198 0.0028736552 0.0012006916 0.0017610143 0.006699859 0.0002961706 0.0016089267 0.0050829276 0.0021612449 0.0050909324 0.008340804 0.0039222594 0.00046426742 0.0065317624 0.0063876794 0.008909131 0.004362513 0.001152664 0.00061635504 0.0030177382 0.0022973232 0.0003041752 0.0012487193 0.00040023052 0.0006723873 0.0005443135 0.00024814293 0.005411117 0.00076043804 0.00025614753 0.0020171618 0.0018650743 0.0010165855 0.00039222592 0.00027215676 0.0015208761 0.0029376922 0.0004482582 0.008156698 0.0006083504 0.0022653048 0.00026415216 0.0007444288 0.0040983604 0.0011446594 0.0013447746 0.00077644724 0.0024173923 0.0012887423 0.0005443135 0.0003682121 0.0017209913 0.00032818902 0.0002241291 0.0006083504 0.0007124104 0.0002241291 0.00020011526 0.0006643827 0.017057825 0.0016889728 0.0015608991 0.0012487193 0.0013447746 0.0012167008 0.0018730789 0.0012247055 0.002201268 0.0011206454 0.0013928022 0.0011846824 0.0010966316 0.00078445184 0.0009685579 0.0010245901 0.0015048668 0.00035220286 0.0005683274 0.00032818902 0.00032018442 0.00025614753 0.00038422132 0.00040023052 0.0026175077 0.00062435964 0.00049628585 0.0005283043 0.00023213371 0.00023213371 0.000144083 0.00025614753 0.0026655353 0.0006003458 0.00090452103 0.0013687884 0.0012887423 0.00044025359 0.00078445184 0.00063236424 0.0015048668 0.00051229505 0.0001520876 0.0007524334 0.013823963 0.0003602075 0.00031217982 0.0005683274 0.0016409452 0.00033619365 0.0003682121 0.0006083504 0.00035220286 0.0002961706 0.000288166 0.0005202997 0.0027215676 0.00065637805 0.00027215676 0.00065637805 0.0005923412 0.00040823515 0.00051229505 0.0003762167 0.0031217982 0.00032018442 9.605533e-05 0.00020811988 0.0005603227 0.00018410604 0.00011206455 0.00013607838 0.004970863 0.001704982 0.00016009221 0.00064036885 0.0008244749 0.00024013832 0.00024013832 0.00020811988 0.0018490651 0.00051229505 0.00025614753 0.00091252563 0.00045626282 0.00027215676 0.00024814293 0.00019211066 0.0015849129 0.00032018442 0.0003041752 0.00020011526 0.00025614753 0.00021612449 0.0020651896 0.02908075 0.09843911 0.0 2.4212293e-05 0.0 0.00021387526 0.0 0.00020983987 0.0 2.4212293e-05 0.0 0.00021387526 0.0 2.4212293e-05 0.0 2.4212293e-05 0.0 0.01558061 2.8247676e-05 2.8247676e-05 4.035382e-05 0.000104919935 4.035382e-06 6.0530732e-05 1.2106147e-05 1.2106147e-05 4.035382e-06 4.8424587e-05 0.0 0.00055688276 0.0 4.035382e-05 8.070764e-06 0.007699509 1.2106147e-05 1.6141528e-05 1.2106147e-05 0.000104919935 1.6141528e-05 6.456611e-05 1.6141528e-05 2.017691e-05 3.2283056e-05 0.00012509685 2.8247676e-05 4.8424587e-05 2.017691e-05 2.4212293e-05 2.4212293e-05 0.0073040416 8.474303e-05 0.00011702609 2.017691e-05 0.00014527376 4.8424587e-05 0.00011702609 8.877841e-05 5.649535e-05 4.4389206e-05 0.000104919935 2.017691e-05 2.8247676e-05 3.2283056e-05 2.4212293e-05 2.8247676e-05 0.0686015 0.0015737991 0.0005851304 0.0004721397 0.0019490896 0.00035511365 0.00028247674 0.0003389721 0.00052863505 0.00039546745 0.0018199574 0.0002703706 0.00049635203 0.00027844138 0.0003187952 0.0043783896 0.013409575 0.0004802105 0.0002542291 0.00012509685 0.0004761751 7.6672266e-05 0.00010088456 8.070764e-05 0.00014123837 4.8424587e-05 0.0004317859 6.456611e-05 5.2459967e-05 6.86015e-05 1.6141528e-05 0.0007021565 0.04887655 0.0014769499 0.0009119964 0.000686015 0.0027602015 0.00039950284 0.0005205643 0.000875678 0.0016625775 0.0007909349 0.002344557 0.00058109505 0.00080707646 0.0005649535 0.00049635203 0.0023606985 0.029910253 0.0010734117 0.0019854081 0.001129907 0.0043985667 0.002861086 0.020592555 0.013639592 0.00073847495 0.00041967974 0.00062951964 0.00026633524 0.0011097301 0.00049635203 0.0005851304 0.002808626 0.10588036 0.0031919873 0.007412997 0.012412836 0.011714715 0.0032767304 0.019902505 0.011706644 0.0015697636 0.004455062 0.0068278667 0.00092006713 0.0039183563 0.0013034284 0.0014850206 0.0023687694 0.050841782 0.0038860731 0.0030870675 0.0034139333 0.0058755167 0.0019450543 0.0047092913 0.0030265367 0.0013478177 0.0023243802 0.0037650117 0.0008111118 0.000960421 0.0008433949 0.0008151472 0.0032565536 0.038368415 0.00374887 0.0036358794 0.0031879519 0.0040515237 0.002058045 0.0034260396 0.0029619706 0.0018482051 0.0010209517 0.0015616929 0.0010895532 0.001678719 0.0011985085 0.0016504714 0.002893369 0.0236998 0.0025907154 0.0040474883 0.004713326 0.0035269242 0.0022678848 0.006864185 0.0043461067 0.0017997805 0.0022073542 0.014866348 0.00126711 0.0045559467 0.0020419033 0.0021629648 0.0016867898 0.015185144 0.002239637 0.0034704288 0.0016666128 0.006735053 0.0015495868 0.001234827 0.0015536222 0.0056293583 0.0018764527 0.0009765625 0.0014729145 0.0018724174 0.00080304104 0.0019289127 0.00965667 0.023893498 0.004035382 0.0065090717 0.0034744642 0.015516045 0.004773857 0.0018966297 0.0023808754 0.013349044 0.0024010525 0.0017069667 0.0020943633 0.010314437 0.0024979017 0.0040273117 0.008567116 0.002227531 0.00029861828 0.0007263688 0.00039143208 0.00053670583 0.00037932594 0.0003672198 0.00023405218 0.00035107826 0.00069812115 0.0005447766 0.00035511365 0.00035107826 0.00043582128 0.00016141529 0.00020580449 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 494.0 18.481781 9130.0 0.0036144578 0.00021905806 0.00021905806 0.00076670316 0.0024096386 0.00021905806 0.00010952903 0.0 0.0016429353 0.00076670316 0.0018619935 0.00065717415 0.0010952903 0.00449069 0.024096385 0.00021905806 0.037897043 0.00558598 0.0038335158 0.0033953998 0.003723987 0.0027382257 0.004271632 0.0027382257 0.0026286966 0.0036144578 0.00076670316 0.00021905806 0.00021905806 0.0010952903 0.00021905806 0.00076670316 0.00054764515 0.017634174 0.0049288063 0.013581599 0.0072289156 0.010843374 0.00449069 0.0020810515 0.0054764515 0.010295728 0.00032858708 0.0027382257 0.0015334063 0.0077765607 0.0026286966 0.00898138 0.0073384447 0.0004381161 0.0064622127 0.019386638 0.0063526835 0.0031763418 0.0077765607 0.005038335 0.0004381161 0.0 0.00054764515 0.0025191675 0.0025191675 0.0025191675 0.0020810515 0.0058050384 0.0008762322 0.030777656 0.015991237 0.028258488 0.018072288 0.08466594 0.015662652 0.009967141 0.004052574 0.05629792 0.0008762322 0.008324206 0.03822563 0.017415116 0.040854327 0.06889376 0.021686748 0.00065717415 0.05257393 0.05082147 0.07776561 0.026725082 0.011829135 0.004052574 0.0077765607 0.015005477 0.00076670316 0.00010952903 0.0009857612 0.0 0.00021905806 0.00021905806 5.2932715 0.0 0.0 0.0 3.0 124928.0 135168.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1425187500.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 5.0 2.0 5.0 2.0 0.0 1024.0 0.0 6.0 0.0 0.0 3.0 2.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32256.0 0.0 0.0 -512.0 0.0 0.0 0.0 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 -5.4718294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.457996 0.0 0.0 0.0 -1.8765965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0693948 0.0 0.0 -4.1051493 0.0 0.0 0.0 0.0 0.0 -5.674662 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1800.0 0.0 0.0 0.0 -11056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32240.0 0.0 0.0 -62.0 0.0 0.0 0.0 0.0 0.0 -73505.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1468.0 49152.0 1008.0 54416.0 0.0 0.0 3700.0 131072.0 28.0 122468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 50624.0


Input: 0.026827034 0.0048530805 0.004276952 0.0043129064 0.006258449 0.0037556607 0.0038383463 0.0037712061 0.0048500285 0.0039638528 0.0038000077 0.003876685 0.0044104694 0.0036502772 0.0038569435 0.0044919155 0.0042252615 0.003612606 0.0035301114 0.0035864748 0.0039670956 0.0036803186 0.0035839 0.0035247707 0.0037924736 0.003525629 0.0035199067 0.0035642537 0.0037298156 0.0034968273 0.0035016912 0.003553763 0.005656094 0.0035218142 0.003526392 0.0035423187 0.004349433 0.0035324956 0.0035737907 0.0035241984 0.00366258 0.0034994022 0.0035141846 0.003708262 0.00362138 0.0036160394 0.0037325814 0.0034960643 0.0040545496 0.003749271 0.003675741 0.0041558323 0.0036563808 0.0036810816 0.0035784638 0.0036098405 0.0038451175 0.0036573345 0.0036989157 0.0039636623 0.0037004417 0.0037072129 0.0037173221 0.0036513263 0.0038575158 0.003820989 0.003711314 0.0037053055 0.003789231 0.0048471675 0.0039976137 0.0037391619 0.003708262 0.0036433153 0.0035394575 0.003585998 0.0040759123 0.0044752257 0.0039834036 0.0037811245 0.0046077897 0.0037740672 0.0035838045 0.0038611398 0.0036173747 0.003971673 0.0041060494 0.0039006227 0.0035513788 0.0038375834 0.003457535 0.0036916677 0.0036452226 0.0040591275 0.0038516028 0.003811929 0.003527918 0.004753133 0.0036054535 0.0037764513 0.003959466 0.0049396763 0.0039812103 0.0036967222 0.004154402 0.0043674577 0.004257115 0.0036774576 0.0041656555 0.0037119815 0.004328642 0.0041928357 0.0040287045 0.0035608204 0.004619806 0.0043049906 0.0054030777 0.004930807 0.0036823214 0.0037096925 0.003663915 0.0036591466 0.0035756028 0.0034835709 0.0036329199 0.0037508924 0.0036098405 0.0035953443 0.0037689172 0.0036217617 0.003509416 0.004956366 0.0039604194 0.004465593 0.003531542 0.0035093208 0.0036637243 0.004845928 0.003614895 0.0074966345 0.0036358763 0.0052085235 0.0034939663 0.0034829034 0.0035719785 0.0034721266 0.0034739384 0.0034898652 0.0035051245 0.003532877 0.003485955 0.0034923449 0.0034824265 0.0035521418 0.0034595376 0.0034520035 0.0035115143 0.003465546 0.003476609 0.003471268 0.0035126586 0.0035173318 0.0034236787 0.003511705 0.003571311 0.0034736525 0.0034554368 0.003472508 0.003531828 0.0034799469 0.003527727 0.00348977 0.0035807528 0.0034646876 0.0034946338 0.0035045522 0.0036493235 0.0035001652 0.003504457 0.0035074134 0.0035544306 0.003547564 0.0035428908 0.003555289 0.0036400727 0.003556338 0.0034817588 0.0035254383 0.0035243891 0.0035288716 0.003540316 0.0035672102 0.004373466 0.00399027 0.0037919967 0.003979303 0.0040173554 0.0035461334 0.0037750208 0.004158598 0.003750797 0.0037352517 0.003611843 0.0035910525 0.005304561 0.0036238597 0.003672975 0.003583423 0.0037189433 0.0035847581 0.003565589 0.0035007375 0.0035320187 0.0034470442 0.0034945384 0.0034591563 0.0036764084 0.0035562427 0.0034814728 0.0035915296 0.0035698805 0.0035034078 0.0034734616 0.0034785164 0.003742786 0.0035098928 0.0034657368 0.003525152 0.0037614782 0.0037202786 0.0035058875 0.003474797 0.0056374967 0.0036498958 0.0034852875 0.0038432102 0.004053787 0.0034945384 0.0035357382 0.0036645827 0.0037655793 0.0035943906 0.003524294 0.0035536676 0.0037205648 0.0034603006 0.0037584265 0.0036495142 0.004028323 0.0036440783 0.0035739813 0.0037119815 0.0040586507 0.0037983865 0.0038907044 0.008393015 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017064567 1.57387e-06 1.1923257e-06 1.0015536e-06 4.816996e-06 1.7646421e-06 2.7661958e-06 3.9585216e-06 3.9585216e-06 1.0969397e-06 7.1539546e-07 5.246233e-07 2.8615818e-07 2.3846516e-07 3.338512e-07 4.769303e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00015786393 1.0349388e-05 4.1969865e-06 1.2877118e-06 3.6723634e-06 2.4323447e-06 2.3846515e-06 1.8123352e-06 3.9585216e-06 7.1539546e-07 1.3354048e-06 7.1539546e-07 7.1539546e-07 1.1446327e-06 8.5847455e-07 1.9077213e-06 0.00090993533 6.91072e-05 0.00014989919 1.5547928e-05 5.0220762e-05 2.1223399e-05 0.0004085862 0.00023116812 2.012646e-05 9.300141e-06 8.441666e-06 8.632439e-06 1.3830979e-05 8.393973e-06 9.681686e-06 1.9411063e-05 0.008857072 0.00016020089 0.0013760393 0.0006147632 0.00060613075 0.00017641652 0.003886696 0.0018938426 1.3067891e-05 9.681686e-06 8.155508e-06 8.393973e-06 1.0921704e-05 1.0349388e-05 6.901182e-05 7.616577e-05 0.004069742 0.00011040937 0.00077095785 0.00061023235 0.0004085385 0.00017856271 0.0017151844 0.00092500634 1.51186905e-05 4.2828342e-05 2.346497e-05 8.975829e-05 6.6341e-05 4.816996e-06 4.669148e-05 0.000103827726 0.0016982534 4.5833003e-05 0.00029531526 0.00012595729 0.00025973623 0.00015476388 0.000906883 0.00045561153 3.2955886e-05 5.8328576e-05 9.3573726e-05 0.00012877118 0.00011818333 1.5691006e-05 2.4466524e-05 7.874119e-05 0.0010890226 6.262095e-05 0.0001737934 7.883658e-05 0.00016554251 7.354265e-05 0.0003977122 0.00023011888 2.9760451e-05 4.0968313e-05 5.651624e-05 8.398743e-05 5.651624e-05 2.5420386e-05 0.00013334972 0.00023255122 0.0008838949 0.00012342956 0.00019749685 0.0013117014 0.00022143875 0.00015524082 0.0003975691 0.0002649348 0.0001464176 9.44322e-05 0.00013086968 0.00010711855 0.00013721285 9.271525e-05 0.00018590744 0.00023803592 0.00167517 0.00020011996 0.00016516096 0.00021256784 0.0003421498 0.00029025978 0.00029192906 0.00031372477 0.0007076692 8.5656684e-05 8.7135166e-05 0.00014250677 0.00044788525 8.8613655e-05 0.00023827438 0.0005716964 0.012156525 0.0019499295 0.0014920764 0.0017349294 0.0037232519 0.0037738064 0.0014614098 0.0028074025 0.007912799 0.0005791365 0.00055676844 0.0008552791 0.005172691 0.0009601084 0.003192333 0.0055883355 0.004249354 0.0008143108 0.0006864458 0.0007297511 0.0016363956 0.001804132 0.0008478867 0.0012802241 0.0030317507 0.00026383784 0.00030328 0.00038826896 0.0015676699 0.0005894382 0.0014350356 0.0023491678 0.05485252 0.054849464 0.054764763 0.05466704 0.05484126 0.054697324 0.054777782 0.054804444 0.05485228 0.05471087 0.05474268 0.054912135 0.05491719 0.054838352 0.054735385 0.054867923 46408.0 6.8082013 315955.0 0.025440332 0.008073934 0.008694276 0.008026459 0.008770236 0.008722761 0.0077447738 0.008146729 0.008763907 0.00844424 0.008016964 0.00817205 0.008988622 0.008776566 0.009627953 0.0086278105 0.010590116 0.0094000725 0.009368422 0.009896979 0.009495023 0.009346267 0.009469703 0.009020272 0.0096817585 0.009216502 0.011030052 0.009346267 0.009713409 0.0093114525 0.009064582 0.008963302 0.008460065 0.009327278 0.00824801 0.009308288 0.009431723 0.009548828 0.009007612 0.008934816 0.008963302 0.009320947 0.007817569 0.00818471 0.009159532 0.008817712 0.0089094965 0.009320947 0.0100678895 0.008637306 0.009074077 0.010593281 0.009634283 0.008649966 0.008931652 0.0091342125 0.008219525 0.008498046 0.008149895 0.008304981 0.0098589985 0.00816572 0.007861879 0.01016917 0.00819104 0.019562913 0.01022614 0.013964014 0.014217215 0.02703866 0.011061702 0.010561631 0.011913089 0.0182526 0.009213338 0.009184852 0.016771376 0.011011061 0.017413871 0.019363517 0.012622051 0.0077384436 0.019436313 0.017087877 0.021939833 0.012644205 0.009656439 0.010678736 0.009105727 0.010124859 0.007928344 0.00816572 0.008115079 0.007868209 0.008089759 0.008187875 6.5110517 45.0 24.0 0.0 150.0 10485505.0 1363968.0 1.0 1.0 371.0 1.0 1.0 0.0 1.0 0.0 1468894600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 809472.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -26112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 117248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -809472.0 0.0 358912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.720364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.66114 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4532611 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6258025 0.0 5.432189 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -25952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 116818.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -809064.0 0.0 358528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 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 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 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 1.0 0.0 -2.0 0.0 -1.0 2.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82.0 922848.0 360.0 922932.0 358528.0 974848.0 0.0 0.0 6664.0 37682816.0 25952.0 1335296.0 28.0 816864.0 0.0 0.0 0.0 0.0 24.0 917728.0 64.0 917656.0 0.0 0.0 1552.0 815104.0 96.0 922428.0 0.0 0.0


Input: 0.05673495 0.008302979 0.0061697043 0.0056586717 0.0057550734 0.0049641654 0.004196062 0.005425442 0.005053311 0.005631721 0.0037430783 0.004467645 0.004957946 0.003170888 0.0043256343 0.0046397173 0.005046055 0.0037669195 0.0049341046 0.0041608186 0.0043525854 0.0031698514 0.0041089896 0.0038425897 0.00506886 0.0033502157 0.0031646686 0.002940768 0.004157709 0.0034383247 0.0037855778 0.0037907609 0.006167631 0.0038166752 0.003481861 0.0030268037 0.004898861 0.0041680746 0.0038405166 0.0037233834 0.0047236797 0.0038923454 0.003332594 0.0030910715 0.004370207 0.00372131 0.0037202735 0.0035792992 0.005520807 0.0039400277 0.0031097298 0.0029024146 0.0036746643 0.0030693035 0.002683697 0.0028692442 0.0041680746 0.0033139356 0.003523324 0.0033616181 0.004003259 0.0032227167 0.0035025924 0.0034611295 0.0065978104 0.0039410642 0.003611433 0.0032185705 0.0041566724 0.0032227167 0.003543019 0.0030589376 0.0050004455 0.0037752122 0.003697469 0.0035865551 0.0041286848 0.003126315 0.0035668602 0.003460093 0.0051621515 0.0036259452 0.0036518595 0.0033367402 0.003929662 0.0033771668 0.003366801 0.003535763 0.004650083 0.003640457 0.0038042362 0.0035057021 0.004114173 0.0033833862 0.0036860665 0.0037855778 0.00591056 0.0036238718 0.003341923 0.002962536 0.0040084417 0.0030464989 0.0032621068 0.0030299136 0.004984897 0.0031646686 0.003197839 0.0030444255 0.0035741162 0.0028308907 0.0030858887 0.0031936925 0.004513255 0.0032942407 0.003226863 0.0031429003 0.0038923454 0.0033284477 0.0032921673 0.0036290549 0.004625205 0.0032942407 0.0034860072 0.0031739976 0.0040333197 0.0031916194 0.0034725317 0.003347106 0.008650232 0.004600327 0.0040063686 0.0035212508 0.004360878 0.0034289956 0.003016438 0.0033916787 0.0045464253 0.0038291141 0.0029563166 0.0031936925 0.0037275297 0.002793574 0.0028485127 0.0029832677 0.0052388585 0.0032154608 0.0034994828 0.0030247306 0.003665335 0.0031843635 0.0033014966 0.0032600334 0.0045453887 0.0028391834 0.0030402793 0.0027085748 0.0035171045 0.0032258264 0.0029863773 0.0031563758 0.005011848 0.00341552 0.0032724724 0.002798757 0.0037762488 0.0030039991 0.0030568645 0.003183327 0.004138014 0.0030102185 0.0031190591 0.003011255 0.0036487498 0.0028308907 0.0029252192 0.0030288768 0.0046677045 0.003114913 0.0038425897 0.0028588783 0.0035710065 0.0031460102 0.0029925967 0.0031159495 0.0042561837 0.0031449734 0.0033388133 0.0031771073 0.0036477132 0.0031885097 0.0033315574 0.003347106 0.0067221997 0.0040540514 0.0037223466 0.0033388133 0.004118319 0.0032558872 0.0033014966 0.0032278998 0.0043297806 0.0033305208 0.0031159495 0.0030931446 0.003650823 0.0029853408 0.0030765594 0.0027956471 0.004240635 0.003273509 0.003082779 0.0029957064 0.00372131 0.0030257672 0.002933512 0.002942841 0.0039742347 0.0031138763 0.0027261965 0.0026391242 0.0035295435 0.0029490606 0.0035792992 0.002888939 0.0049548363 0.0032372288 0.0033989348 0.002974975 0.0038052727 0.0030693035 0.0031916194 0.002906561 0.004446914 0.005452393 0.0034611295 0.0031397906 0.0037969803 0.0030869253 0.0032496678 0.0031843635 0.0046220953 0.003320155 0.0034196663 0.003036133 0.003733749 0.003092108 0.0033191184 0.0032486313 0.0043474026 0.0030299136 0.0031874732 0.002859915 0.0040084417 0.003092108 0.0042250864 0.004519474 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.0992202 0.062027287 0.062441885 0.055329893 0.060570743 0.059548 0.0549319 0.0545007 0.060446728 0.05318218 0.052127786 0.052950237 0.056433067 0.050538406 0.05665723 0.053833395 4019.0 5.7034087 22922.0 0.017145101 0.010426665 0.009336009 0.00863799 0.013567751 0.012477096 0.011779076 0.011473693 0.012520722 0.009728645 0.008463485 0.008594364 0.013873135 0.010513917 0.011822703 0.0099904025 0.016752465 0.011909955 0.008725242 0.0075473343 0.009815898 0.008507111 0.007809092 0.008332606 0.010252159 0.008507111 0.009641392 0.0088561205 0.01151732 0.008986999 0.009641392 0.009248757 0.018017625 0.010862926 0.010339412 0.009074252 0.010906553 0.008812495 0.010732048 0.00828898 0.014265771 0.011604572 0.009728645 0.008943373 0.011430067 0.009336009 0.0116918245 0.009597766 0.014789285 0.009597766 0.009946776 0.008986999 0.01208446 0.009336009 0.009597766 0.009859524 0.013742256 0.009248757 0.010557543 0.00955414 0.011124684 0.009859524 0.010383038 0.010688421 0.017973999 0.010993805 0.009728645 0.008201728 0.013087863 0.008245354 0.009379636 0.008332606 0.015443679 0.009292383 0.008899747 0.008681616 0.011342815 0.008027223 0.00990315 0.007852718 0.013175116 0.008114475 0.008768869 0.0088561205 0.011386441 0.009379636 0.008158102 0.007896344 0.010950179 0.0088561205 0.01208446 0.008594364 0.011299188 0.008986999 0.0099904025 0.008725242 6.5545554 0.0 0.0 0.0 14.0 964714.0 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