Input: 0.28215328 0.01567183 0.008965026 0.00521012 0.007279842 0.003166788 0.014099746 0.0035098565 0.0042977836 0.003404297 0.0037435957 0.0051045604 0.002397711 0.0024278706 0.003671966 0.0050819404 0.0035023165 0.007125273 0.007147893 0.005036701 0.0019377726 0.0016701036 0.003664426 0.0024504906 0.0018925328 0.0013270349 0.0018623729 0.0017982832 0.0014439045 0.0009538064 0.0015042243 0.00262391 0.009210075 0.001454272 0.0012780251 0.0040791244 0.0050781704 0.0018774528 0.0023854584 0.0008482468 0.008745424 0.0038491553 0.0016983785 0.0013647348 0.0033222998 0.0013977222 0.0027520894 0.0010103561 0.003641806 0.0018020532 0.0017869732 0.0017832032 0.0014966843 0.0013948947 0.0014099746 0.0011347657 0.0012855651 0.001311955 0.0035381315 0.0009311864 0.0035023165 0.0012205328 0.0031338006 0.0066200946 0.012350473 0.0071714553 0.0024137334 0.003117778 0.0034457669 0.0022657614 0.0014250546 0.0026465298 0.0016814136 0.0023307935 0.0029971385 0.0012601177 0.0014712369 0.0014816044 0.001564544 0.0012440953 0.0024655706 0.0012101654 0.0014552145 0.0016474837 0.0025466252 0.0014929143 0.0016738736 0.001311955 0.004424078 0.0015617165 0.001437307 0.000791697 0.0011536157 0.001304415 0.0009462664 0.008527707 0.002337391 0.011272257 0.002337391 0.0074721114 0.0055569587 0.008629497 0.0015494641 0.0024731106 0.0042073037 0.0075475113 0.0009123365 0.0010970659 0.0055569587 0.0030348385 0.0052817496 0.007408022 0.003664426 0.0015202467 0.011487146 0.0097341025 0.01566052 0.0030725382 0.0015004543 0.0025918651 0.002386401 0.0022280614 0.0016050714 0.0019076128 0.0013835847 0.0013534249 0.0019717026 0.0030084485 0.0054513994 0.0028312593 0.0011837755 0.0013609648 0.0008595567 0.0015532341 0.0007049873 0.00087840663 0.0012440953 0.0012252453 0.0010518259 0.0016776436 0.0013835847 0.0010103561 0.0010141261 0.0014816044 0.0015306142 0.0012742551 0.0011988555 0.0013308049 0.0013986647 0.0016512537 0.0014627544 0.0013270349 0.0014665244 0.0012252453 0.0011686955 0.0012252453 0.0014175146 0.0012026255 0.0011988555 0.0014816044 0.0021865917 0.0013892397 0.0010254361 0.0016210938 0.0012299578 0.0010932959 0.0027407797 0.0012252453 0.0011913155 0.0008331668 0.00085201673 0.0007615371 0.0013308049 0.0009688863 0.0008746367 0.0009575763 0.0011649255 0.00061827764 0.0007653071 0.0013449424 0.0007605946 0.00080017943 0.0017756632 0.0010178961 0.0010103561 0.0010122411 0.0009085665 0.0011573856 0.001319495 0.001315725 0.0009236465 0.001579624 0.002329851 0.0009613463 0.0009311864 0.0012290153 0.0009726563 0.00085107423 0.000784157 0.0009839663 0.0014363645 0.0010706759 0.0011913155 0.0013496549 0.0032082577 0.0012478653 0.0012563478 0.0016182663 0.0019830125 0.0014288245 0.0019754726 0.001557004 0.0014702944 0.0016964936 0.0021479493 0.0016135538 0.0018623729 0.0016587937 0.0014665244 0.0014929143 0.0029264514 0.0015551191 0.0035701764 0.0019679326 0.0030612284 0.002375091 0.0027143897 0.0027332397 0.0028010993 0.0027398372 0.0032798876 0.0035287065 0.0033213573 0.003630496 0.004501363 0.0025720727 0.002341161 0.001557004 0.0019754726 0.0022129815 0.0029613238 0.0021243868 0.0022582214 0.0019603926 0.0017266534 0.0016738736 0.0017379634 0.0028387993 0.0015117642 0.0012968751 0.0016889536 0.0013760447 0.0020621822 0.0020772622 0.003588084 0.06070808 0.0009567482 0.0 0.0 4.717693e-06 0.0 0.0 0.0 0.0 0.0 4.717693e-07 0.0 4.717693e-07 0.0 9.435386e-07 1.8870772e-06 9.435386e-07 0.0027758908 1.415308e-06 3.7741545e-06 6.416063e-05 8.020079e-06 8.020079e-06 6.6047705e-06 3.7741545e-06 3.7741545e-06 3.3023853e-06 4.717693e-07 2.830616e-06 4.717693e-07 2.830616e-06 9.907156e-06 3.3023853e-06 0.0035901645 0.0 0.0 4.717693e-07 0.0 9.435386e-06 1.8870773e-05 2.7362621e-05 4.2459237e-06 1.415308e-06 0.0 9.435386e-06 2.170139e-05 2.2644928e-05 3.6326237e-05 0.00012266003 0.010790308 1.2266002e-05 1.415308e-05 1.6040158e-05 3.7741545e-06 1.8399003e-05 3.396739e-05 0.00016417573 3.8213315e-05 4.717693e-06 5.1894626e-06 1.5568388e-05 4.859224e-05 5.2366395e-05 0.0002783439 0.0010643116 0.004877623 3.1136777e-05 5.661232e-05 3.0665007e-05 8.067255e-05 3.0665007e-05 6.60477e-05 6.274532e-05 3.8685084e-05 6.6047705e-06 1.2737772e-05 3.443916e-05 5.519701e-05 6.085824e-05 0.00010520456 0.00024720712 0.0058626775 2.3588465e-05 1.1322464e-05 1.36813105e-05 7.548309e-06 3.2080316e-05 4.104393e-05 0.00012973657 9.057971e-05 1.36813105e-05 1.8399003e-05 2.7362621e-05 6.699124e-05 0.0001184141 0.00030476297 0.00096759887 0.01686245 0.00010048687 8.350317e-05 4.859224e-05 0.00019955842 0.00016276042 0.00033118206 0.00044535025 0.0003509964 0.00011652702 0.00018257473 0.00017502642 0.00028023098 0.00051139796 0.0009279703 0.0024097976 0.024286686 0.0011784798 0.0018639606 0.0012926479 0.0007114281 0.0006717995 0.0037165987 0.003074049 0.0006090542 0.0002641908 0.00027315444 0.00033920215 0.00047931762 0.00094023626 0.0011968787 0.0025805782 0.06188434 0.006161779 0.00989772 0.009583994 0.009052781 0.0060608205 0.031315576 0.02168299 0.0014228562 0.00091711956 0.0016714787 0.0012917044 0.0016903495 0.0028697727 0.004309141 0.00989772 0.13298517 0.01577172 0.01567029 0.007491697 0.012816558 0.007141644 0.010258624 0.01083088 0.0057626623 0.0062415083 0.0056008454 0.0030353637 0.0043086694 0.010880416 0.01771258 0.04267012 0.04800064 0.0056253774 0.00847911 0.0047228825 0.010566218 0.0065358924 0.015248528 0.013234073 0.0027051254 0.0038685084 0.0015591977 0.0014115338 0.002850902 0.003519399 0.008203597 0.01612602 0.017394606 0.0052154097 0.0028032532 0.0015290044 0.001963504 0.0017696067 0.004700238 0.003663289 0.001574766 0.00047884588 0.0006444369 0.00057414325 0.0008444671 0.0009793931 0.0010001509 0.0012416969 0.008325785 0.0013242565 0.0012770796 0.0015875038 0.0019054763 0.0009723166 0.0016082616 0.0010496867 0.001135077 0.00041185462 0.00082370924 0.0007430367 0.0007114281 0.0010746905 0.00038543553 0.00081899157 0.0034967542 0.0003368433 0.000537817 0.0004123264 0.001098279 0.00048026117 0.00072982715 0.0005651796 0.0005029061 0.00058546575 0.00026466258 0.0002198445 0.00055480073 0.00026088842 0.0009430669 0.0015714637 0.0024305556 0.00055904663 0.00036184708 0.00036514946 0.00073171424 0.00047931762 0.0003443916 0.00039015323 0.00062037667 0.00013351072 0.0001830465 0.00012879302 0.00049441424 0.00033259738 0.00042364886 0.0007170894 0.025128793 0.009642493 0.00932971 0.008856053 0.009749585 0.009605223 0.008321067 0.009813273 0.010077464 0.008536194 0.009058914 0.009474543 0.009027778 0.008771607 0.009544365 0.011246509 5725.0 31.667074 181294.0 0.010789105 0.00060674926 0.0006177811 0.00015444527 0.022107737 0.00015444527 0.00035301776 8.825444e-05 0.00055159023 0.001412071 0.000904608 0.00048539942 0.006966585 0.00036404954 0.010965614 0.00059571746 0.0092005255 0.0026476332 0.005802729 0.0029123963 0.0034198596 0.0035081138 0.0028462056 0.0016547707 0.0017430251 0.0014782618 0.015885798 0.00037508135 0.014253092 0.0014010392 0.013993844 0.031330325 0.048010413 0.025555175 0.0073251184 0.01173784 0.015753416 0.0064094784 0.0036625592 0.003949386 0.0032433507 0.008428299 0.0023166789 0.0021401702 0.0034253753 0.0039990293 0.004964312 0.0029565236 0.007104482 0.0025814422 0.0038611316 0.0048319306 0.004462365 0.0033977958 0.0048319306 0.0035743047 0.0041038315 0.002029852 0.003160612 0.00035301776 0.0011473077 0.0002206361 0.00039714496 0.04139133 0.00041920858 0.06107207 0.009244652 0.037706707 0.025571723 0.044083092 0.00452304 0.009443224 0.018798195 0.038456872 0.0007280991 0.0018533432 0.026520459 0.012598321 0.025042197 0.035235584 0.011362758 0.0010866327 0.059373174 0.04884883 0.078987725 0.009796242 0.0032433507 0.007871193 0.005802729 0.0064646374 0.0017706046 0.0011252441 0.00013238165 0.0013458802 0.00017650888 0.00041920858 5.4553094 4.0 4.0 8.0 12.0 1061012.0 331776.0 1.0 0.0 190.0 1.0 1.0 0.0 0.0 0.0 1489626400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 46080.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46080.0 0.0 134656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9434812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.1999846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6657515 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.273457 0.0 5.6038113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78594.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45612.0 0.0 134248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 1.0 2.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 2.0 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 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 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 121460.0 134248.0 192512.0 0.0 0.0 0.0 0.0 1044.0 327680.0 28.0 54144.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 56360.0 0.0 0.0 812.0 53248.0 0.0 0.0 72.0 54196.0


Input: 0.14445816 0.009170875 0.005978165 0.006916813 0.008071067 0.0039048633 0.0032754682 0.0035237416 0.009214432 0.0027549649 0.0029662151 0.0026809184 0.0075287856 0.0042881626 0.003560765 0.009761069 0.006071812 0.0017575151 0.0019056081 0.0022017942 0.0043556755 0.0035389867 0.0019317422 0.0032732903 0.003682724 0.001652979 0.0045974157 0.0016224892 0.0029357255 0.002310686 0.0016399119 0.0019644098 0.005296502 0.0016312005 0.0013763936 0.0018359174 0.006592315 0.0019426314 0.0013350146 0.0018337395 0.0021996163 0.0012326563 0.0028899908 0.0022039718 0.0019186751 0.0017488038 0.0015288421 0.0017553373 0.0035237416 0.0025306477 0.0021429926 0.005239878 0.003290713 0.0029444369 0.002284552 0.0043404307 0.00857197 0.006056567 0.002391266 0.004967648 0.0032340894 0.0038003272 0.0027353645 0.005947675 0.00494587 0.0025763821 0.0019295644 0.002055879 0.0037328142 0.011004615 0.0040181107 0.0020624124 0.002876924 0.0016747573 0.0013851048 0.0013480816 0.0021037913 0.006246039 0.0020341005 0.0016442676 0.00717162 0.0027157639 0.0015636876 0.0036173887 0.0019382758 0.0030402618 0.0047629313 0.003454051 0.0021974384 0.006664184 0.0014286616 0.0018968967 0.0020515232 0.003290713 0.00273972 0.004392699 0.0024958022 0.003423561 0.0035433422 0.003048973 0.0027658541 0.0054053934 0.0062983073 0.0017292033 0.00365659 0.0031752877 0.005344414 0.0012718573 0.0035912546 0.0021299254 0.0036217445 0.0030163054 0.0031164861 0.001221767 0.0037720152 0.0036064996 0.013173741 0.013659399 0.0021800157 0.0024958022 0.00225624 0.0016377341 0.0013284811 0.0012718573 0.01394034 0.0031535092 0.0020667682 0.0020449897 0.0046518617 0.0026700292 0.0016224892 0.01483761 0.0039505977 0.00829974 0.0012370119 0.0011019859 0.0023629542 0.009046739 0.002968393 0.020134112 0.0014939968 0.0075157187 0.0012479011 0.0013589709 0.0018511622 0.0028812794 0.0012043443 0.0028159444 0.0015157752 0.0013546152 0.0012130557 0.0011760325 0.0014591514 0.0015157752 0.0012587903 0.0013415482 0.001424306 0.0020188557 0.0012413675 0.0012021665 0.0023760211 0.0024391785 0.0012718573 0.0014199503 0.0013981719 0.0013502595 0.001034473 0.0010845633 0.0016878244 0.0012587903 0.0011302979 0.0011542541 0.0014264839 0.0011302979 0.001221767 0.0010562513 0.0014395509 0.0012696795 0.002001433 0.0011106973 0.0016595125 0.0014787519 0.0018032498 0.0017662265 0.0023041526 0.0012087 0.0013154141 0.001195633 0.0016028887 0.0023281088 0.001746626 0.0018163167 0.007763992 0.0035346309 0.0020145 0.0062416834 0.004259851 0.0012740352 0.00475422 0.003589077 0.003238445 0.003748059 0.0016028887 0.0014765741 0.0017771157 0.0012457232 0.00153102 0.0012500789 0.0038221055 0.0017749378 0.0020471676 0.0015397314 0.0016312005 0.0017008914 0.0014439066 0.0014678627 0.0043360754 0.0028943466 0.0015919995 0.0024326448 0.0024500675 0.0034692958 0.0013720379 0.0014918189 0.0042903405 0.0017967162 0.0029749265 0.0014047055 0.003035906 0.0021952605 0.0015811103 0.0013284811 0.015316734 0.0036086773 0.001437373 0.0062525724 0.0033016023 0.0012958136 0.0015331978 0.0017204919 0.005224633 0.0022039718 0.0025850935 0.0021669487 0.0022997968 0.0029074135 0.003589077 0.0035956104 0.006720808 0.0023259309 0.0021930828 0.0020624124 0.0054424168 0.004096513 0.007483051 0.043970548 0.03571444 0.0 1.0923518e-06 2.1847036e-06 5.461759e-06 1.5292924e-05 3.7139962e-05 8.738814e-06 1.0923518e-06 1.0923518e-06 0.0 0.0 2.1847036e-06 1.0923518e-06 0.0 4.369407e-06 0.0043366365 4.369407e-06 1.4200573e-05 1.5292924e-05 3.2770554e-06 1.0923518e-06 2.0754684e-05 2.1847036e-05 7.646462e-06 6.5541108e-06 4.369407e-06 2.1847036e-06 1.2015869e-05 3.2770554e-06 2.1847036e-06 1.8569981e-05 0.006156495 3.8232312e-05 2.1847036e-05 0.00011360458 1.0923518e-05 2.2939388e-05 1.0923518e-05 0.00010814283 2.7308795e-05 8.738814e-06 6.9910515e-05 1.0923518e-05 1.8569981e-05 2.0754684e-05 1.31082215e-05 5.8986996e-05 0.0020350514 1.0923518e-05 5.461759e-06 2.9493498e-05 6.5541108e-06 5.461759e-06 4.369407e-06 2.4031739e-05 2.4031739e-05 6.5541108e-06 1.8569981e-05 5.461759e-06 1.5292924e-05 1.4200573e-05 7.646462e-06 2.4031739e-05 0.005636535 5.461759e-05 7.537227e-05 0.00013217457 8.411109e-05 7.100287e-05 0.00021191625 0.00018460746 1.4200573e-05 1.5292924e-05 7.6464625e-05 4.0417017e-05 1.6385276e-05 9.831166e-06 4.0417017e-05 4.8063477e-05 0.0018001958 6.5541108e-06 2.9493498e-05 4.0417017e-05 5.8986996e-05 2.9493498e-05 0.00015729865 7.2095216e-05 9.831166e-06 1.0923518e-06 3.2770554e-06 3.2770554e-06 0.0 0.0 5.461759e-06 1.9662331e-05 0.00028619615 0.0 0.0 2.9493498e-05 0.0 8.738814e-05 0.0010093331 0.0008247256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00547159 3.4955257e-05 5.024818e-05 0.00039106194 0.00029275028 0.0016155883 0.0060538137 0.0034321693 0.00010377342 0.00020099273 2.0754684e-05 1.8569981e-05 2.0754684e-05 1.9662331e-05 2.9493498e-05 0.00014091338 0.004480827 0.00017586864 0.00039106194 0.0006696117 0.00044786424 0.0006510417 0.0021563023 0.0014582897 0.00019880802 5.570994e-05 5.1340536e-05 4.260172e-05 7.2095216e-05 0.00010923518 7.4279924e-05 0.00015074454 0.009647651 0.00038560017 0.00045878775 0.0011720934 0.00064667227 0.00058113114 0.00219235 0.0014768597 0.0005439912 0.00034736787 0.00025342562 0.00021628565 0.00031022792 0.00037686137 0.0010224413 0.0005024818 0.00751975 0.00040853958 0.00091429846 0.0009962248 0.00087060436 0.0006663346 0.003412507 0.0023900657 0.00017914569 0.0002741803 0.0001474675 0.00018242275 0.00022830152 0.00046643423 0.0002698109 0.0012081411 0.016900867 0.0017586864 0.0019946343 0.014429967 0.002943888 0.0021541177 0.004794332 0.0036047609 0.0013479621 0.001558786 0.0012223417 0.0011010906 0.0014681208 0.0013053603 0.001595926 0.0022218435 0.0102276895 0.0013829174 0.0011251223 0.0028390223 0.0019017844 0.0012463734 0.0018067498 0.0021322707 0.0039554057 0.00066524226 0.0005538224 0.0011753705 0.0013370386 0.0008422032 0.0015686172 0.007508826 0.025393901 0.003970699 0.004279834 0.0055895643 0.005600488 0.00510456 0.0036910567 0.007258678 0.01293563 0.0013140992 0.0014921526 0.0022546141 0.006058183 0.003065139 0.00569443 0.013679521 0.0745683 0.019853493 0.013677337 0.025266096 0.02568119 0.028895982 0.0144070275 0.03349915 0.050922163 0.005014987 0.00659562 0.008826203 0.02594554 0.013872867 0.027372152 0.055132087 0.017507123 0.017277729 0.014254099 0.012417855 0.013134438 0.0118760485 0.014531556 0.014512986 0.014377534 0.015918843 0.011920835 0.012167706 0.013816065 0.015300572 0.01541636 0.018232444 2991.0 9.354062 27978.0 0.020051468 0.0024304811 0.0018586032 0.0025019657 0.003574237 0.00271642 0.002144542 0.0031453285 0.0038244335 0.0017871185 0.0018586032 0.0023947386 0.0030738437 0.005289871 0.0030738437 0.0025377083 0.010901422 0.008828365 0.0073271855 0.008185003 0.011759239 0.007470155 0.008649654 0.013617842 0.018085638 0.010115091 0.0076846094 0.009578954 0.009543212 0.006683823 0.005718779 0.00950747 0.010043605 0.009257274 0.0050039315 0.007112731 0.0055400673 0.0080062905 0.0077918363 0.005146901 0.0080062905 0.0060762027 0.0021802846 0.0025734506 0.004932447 0.0036099793 0.0053970977 0.0035027522 0.009793409 0.0045392807 0.00543284 0.011258846 0.005647294 0.004324827 0.008327972 0.007434413 0.004932447 0.006683823 0.0046107657 0.003002359 0.0030381014 0.0021087998 0.0028593894 0.038280077 0.004181857 0.033383373 0.012652799 0.027414396 0.017835442 0.054900277 0.014582886 0.011258846 0.013725069 0.032811496 0.0077918363 0.0038959181 0.024412038 0.017835442 0.033633567 0.029201515 0.02291086 0.0018586032 0.034276932 0.031310316 0.05250554 0.01690614 0.007255701 0.012259632 0.007863321 0.006612338 0.0023589963 0.0015726642 0.024483522 0.0015369218 0.0017871185 0.0026091929 6.0058737 0.0 0.0 0.0 7.0 459171.0 462848.0 1.0 837.0 154.0 1.0 1.0 0.0 0.0 0.0 1045831360.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 233472.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -344064.0 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 -6.726165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.2644634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4805965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.650305 0.0 3.4081705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11108.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -342952.0 0.0 952.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 -2.0 0.0 3.0 -3.0 1.0 5.0 -4.0 4.0 5.0 -4.0 2.0 1.0 -1.0 0.0 0.0 0.0 1.0 4.0 3.0 3.0 5.0 -2.0 -4.0 2.0 -2.0 0.0 0.0 -3.0 0.0 -2.0 -1.0 1.0 3.0 0.0 3.0 5.0 -1.0 3.0 -2.0 -3.0 4.0 1.0 0.0 -7.0 -3.0 0.0 0.0 -2.0 -2.0 4.0 -1.0 -3.0 2.0 0.0 -3.0 0.0 2.0 3.0 -2.0 3.0 2.0 -1.0 -2.0 -6.0 -2.0 2.0 4.0 4.0 -3.0 -3.0 4.0 4.0 -2.0 5.0 -2.0 0.0 5.0 -2.0 -2.0 -6.0 -3.0 0.0 2.0 6.0 -3.0 0.0 -2.0 0.0 -1.0 4.0 4.0 -1.0 -2.0 -3.0 3.0 -3.0 -4.0 2.0 0.0 1.0 -1.0 0.0 -1.0 4.0 -3.0 -5.0 2.0 -2.0 -4.0 4.0 0.0 -2.0 2.0 3.0 6.0 -1.0 -2.0 5.0 0.0 -2.0 5.0 2.0 0.0 -2.0 17376.0 240756.0 40.0 299672.0 952.0 335872.0 0.0 0.0 0.0 0.0 11108.0 339968.0 56.0 236360.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 299128.0 0.0 0.0 620.0 237568.0 0.0 0.0 0.0 0.0


Input: 0.056853995 0.008319362 0.0061868047 0.0056570414 0.005758839 0.0049725045 0.0042017507 0.0054274774 0.005049372 0.005630034 0.0037498935 0.0044635157 0.004952768 0.003174425 0.004328478 0.0046452973 0.005048333 0.003764436 0.0049340706 0.004153968 0.004358602 0.0031754638 0.0041093016 0.0038371487 0.0050794957 0.0033406254 0.00317027 0.0029303185 0.0041487743 0.003442423 0.0037904049 0.0037924824 0.006181611 0.0038184512 0.0034808568 0.0030217287 0.0048883655 0.004165394 0.0038392262 0.0037249634 0.00472632 0.0038953188 0.0033343928 0.0030944413 0.004367951 0.0037176923 0.0037291185 0.0035826545 0.0055157715 0.0039586825 0.0031017126 0.0028918847 0.0036813358 0.0030726274 0.002689328 0.0028607221 0.004179937 0.0033125791 0.0035203295 0.003341664 0.0040023103 0.0032190913 0.0035016318 0.0034569656 0.0066023055 0.0039597214 0.0036169332 0.003225324 0.0041508516 0.0032149365 0.0035421432 0.0030622398 0.004995357 0.0037706685 0.0037052273 0.0035816159 0.0041352706 0.0031318362 0.0035525307 0.0034642369 0.0051750606 0.003626282 0.0036491347 0.0033343928 0.003923365 0.0033780204 0.0033614004 0.0035338332 0.004647375 0.0036491347 0.0038080637 0.0035068255 0.0041041076 0.0033832141 0.0036886071 0.0037862498 0.0059136134 0.003626282 0.003338548 0.0029479773 0.00401062 0.0030497748 0.0032637578 0.0030310773 0.0049704267 0.0031598825 0.003204549 0.0030425037 0.0035784994 0.0028316372 0.0030861313 0.0031868902 0.0045081824 0.0032845328 0.003217014 0.0031349526 0.003890125 0.0033281604 0.003283494 0.0036252434 0.004620367 0.0032938817 0.003475663 0.0031609214 0.0040386664 0.0031962388 0.0034694306 0.0033437416 0.008663189 0.004599592 0.004014775 0.0035234457 0.004375222 0.0034372292 0.003016535 0.0033863306 0.004538306 0.0038277998 0.0029521321 0.0031931226 0.0037218472 0.0027932033 0.0028409858 0.0029781011 0.005237386 0.00320351 0.0034902056 0.0030258836 0.0036615997 0.003174425 0.0033021916 0.003262719 0.0045414222 0.0028389082 0.0030414648 0.002697638 0.0035120193 0.0032274015 0.0029853722 0.0031484563 0.0050088605 0.0034029505 0.003271029 0.002798397 0.0037737847 0.0030123799 0.0030528912 0.003182735 0.004133193 0.0029926435 0.00312041 0.0030123799 0.003643941 0.0028347534 0.0029147372 0.0030352324 0.0046712663 0.0031183325 0.0038537688 0.0028544895 0.0035670733 0.0031526114 0.0029916049 0.00312041 0.0042516105 0.0031432626 0.003329199 0.003171309 0.0036532895 0.0031806575 0.0033188115 0.0033541291 0.006725917 0.0040604803 0.0037249634 0.0033406254 0.0041144956 0.003258564 0.003308424 0.0032284402 0.0043367883 0.0033333541 0.0031172938 0.0030736662 0.003643941 0.0029853722 0.0030674336 0.0027973582 0.004249533 0.0032720678 0.0030850924 0.0030019924 0.0037176923 0.0030196512 0.0029386284 0.0029417446 0.0039846515 0.0031069063 0.0027277619 0.0026363516 0.0035276008 0.0029510935 0.0035795383 0.0028846134 0.0049590003 0.003233634 0.003392563 0.002969791 0.0038163736 0.003066395 0.0031962388 0.0029033108 0.0044448185 0.005462795 0.0034694306 0.0031359913 0.0037883273 0.0030684725 0.0032388277 0.0031900064 0.0046110186 0.0033136178 0.0034154155 0.0030393873 0.003747816 0.0030861313 0.0033125791 0.0032492152 0.0043554856 0.0030300387 0.0031868902 0.002864877 0.004019969 0.0030965188 0.0042277193 0.0045289574 0.01170523 0.0 0.0 0.0 0.0 0.0 1.0400026e-06 3.120008e-06 0.0 1.0400026e-06 2.0800053e-06 0.0 0.0 1.0400026e-06 0.0 1.0400026e-06 0.0020581654 4.1600106e-06 2.0800053e-06 6.240016e-06 5.200013e-06 1.0400026e-06 3.120008e-05 1.1440029e-05 0.0 0.0 1.0400026e-05 0.0 0.0 0.0 0.0 0.0 0.00095316244 2.6000066e-06 6.240016e-06 1.30000335e-05 9.360024e-06 5.7200145e-06 5.2000134e-05 2.2880058e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028709273 3.5880093e-05 2.8080072e-05 1.0920028e-05 2.2360056e-05 3.484009e-05 4.264011e-05 1.8200046e-05 3.5880093e-05 5.200013e-06 9.880026e-06 1.612004e-05 2.6520069e-05 7.2800185e-06 1.7160044e-05 1.30000335e-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 0.0008824423 1.1960031e-05 1.2480032e-05 8.320021e-06 1.3520034e-05 1.612004e-05 1.3520034e-05 1.1440029e-05 1.0920028e-05 1.3520034e-05 6.760017e-06 1.3520034e-05 1.1960031e-05 1.0400026e-05 1.8200046e-05 9.880026e-06 0.0016296841 6.5520166e-05 5.7200148e-05 4.8880123e-05 4.7840123e-05 3.068008e-05 2.2880058e-05 0.00055640144 3.0160078e-05 1.7160044e-05 1.9760051e-05 0.00027820072 2.0800053e-05 0.0002750807 1.6640042e-05 7.80002e-05 0.0007451619 3.7440095e-05 3.4320088e-05 2.0800053e-05 2.2360056e-05 1.7160044e-05 1.4040036e-05 1.1960031e-05 1.6640042e-05 2.2880058e-05 1.924005e-05 1.7680046e-05 6.760017e-06 4.680012e-06 2.2880058e-05 5.096013e-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 0.0013223634 3.7440095e-05 4.316011e-05 6.0320155e-05 4.264011e-05 3.1720083e-05 9.204024e-05 5.876015e-05 3.9520102e-05 5.7720146e-05 4.4200115e-05 4.316011e-05 7.85202e-05 7.80002e-06 8.840023e-06 0.00016172041 0.001172603 6.968018e-05 4.6280118e-05 4.6280118e-05 3.84801e-05 3.7960097e-05 4.7840123e-05 6.0320155e-05 5.2520136e-05 5.096013e-05 6.8640176e-05 5.2000134e-05 7.5400196e-05 1.4560037e-05 4.4200115e-05 0.00025220064 0.0045962916 0.00029380075 0.0002719607 0.0002714407 0.00030056076 0.00024128062 0.00033280085 0.0003083608 0.00033228085 0.0003520409 0.00032916083 0.0003525609 0.00052260136 0.0001539204 0.00018460047 0.0007410019 0.0032068482 0.0002745607 0.00030160078 0.00024960065 0.00028964074 0.00028340073 0.0003442409 0.0009365224 0.00040872104 0.0003525609 0.00032552084 0.0006713217 0.0004643612 0.0004368011 0.00017524045 0.00086372223 0.0022583657 0.00018252047 0.00029120073 0.00024596063 0.00029952076 0.00029588075 0.00028652072 0.00040404103 0.00044460114 0.00032396082 0.00024700063 0.0003182408 0.0004622812 0.00016224041 0.00019032048 0.0010420827 0.0003458009 5.460014e-05 4.316011e-05 4.5240115e-05 5.460014e-05 4.8360125e-05 5.3560136e-05 5.2000134e-05 7.072018e-05 4.8360125e-05 3.84801e-05 4.9400125e-05 4.4720113e-05 2.6520069e-05 4.2120108e-05 4.732012e-05 0.09931713 0.06201432 0.06244384 0.0553037 0.060586914 0.059541192 0.0549137 0.05443946 0.060456913 0.053134777 0.052089572 0.052939776 0.056424823 0.05054101 0.056631785 0.053843018 4009.0 5.704914 22871.0 0.01713961 0.010537362 0.0093568275 0.008613528 0.013423112 0.012417472 0.01176162 0.011499278 0.012592366 0.0097066155 0.0084823575 0.008613528 0.0139040705 0.010537362 0.011805343 0.009925233 0.016789822 0.01189279 0.008700975 0.0075204405 0.009837786 0.0084823575 0.007870229 0.008351187 0.010275021 0.008438634 0.009575445 0.0088321455 0.011543002 0.0090070395 0.009619168 0.009225657 0.018057803 0.010930873 0.010362468 0.009094486 0.010843426 0.008875869 0.010668532 0.0083074635 0.0142538585 0.011630449 0.009794062 0.0090070395 0.011455555 0.009400551 0.011717896 0.009619168 0.014865988 0.009619168 0.009968956 0.009050763 0.012067684 0.0093568275 0.009575445 0.009794062 0.013685453 0.009225657 0.010537362 0.0095317215 0.01114949 0.009837786 0.010449915 0.010712256 0.017970355 0.01101832 0.0097066155 0.008176293 0.013117048 0.00826374 0.009400551 0.008351187 0.015478116 0.009313104 0.008919593 0.008700975 0.011368108 0.0079576755 0.009968956 0.007870229 0.0132044945 0.0079576755 0.008700975 0.008788422 0.011455555 0.009487998 0.0081325695 0.007913952 0.01088715 0.0088321455 0.01189279 0.0084823575 0.011236938 0.0090070395 0.009968956 0.008744699 6.5544453 0.0 0.0 0.0 14.0 962694.0 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: 0.03726626 0.0068784542 0.007742628 0.0050426614 0.0074499557 0.003752004 0.0045977207 0.0038937258 0.004425018 0.0038568121 0.006743324 0.0036663115 0.004051927 0.0034725151 0.0032615804 0.0037243187 0.0043623964 0.0042503374 0.0037651872 0.0043689883 0.0031996183 0.0035417282 0.003987987 0.0036854276 0.0043768985 0.0039899647 0.0038594487 0.0038383554 0.0034810845 0.0034151673 0.003966894 0.0046847314 0.005618118 0.0035938027 0.0041837613 0.0039563472 0.004255611 0.0031014017 0.004021605 0.0039543696 0.0036030312 0.0030598738 0.003671585 0.003563481 0.0036656524 0.0033380443 0.0035924844 0.003344636 0.0041718963 0.0042351764 0.0038159436 0.0040927953 0.0034145082 0.0036445588 0.0037922133 0.0035661175 0.0032464194 0.0032319175 0.0037098168 0.003237191 0.0035509565 0.0038067151 0.0040426985 0.0043887636 0.0047928356 0.0039958972 0.0034896536 0.0035239307 0.004258907 0.0034421934 0.0035226122 0.0036959744 0.0040855445 0.0042496785 0.0030519639 0.0033472725 0.0040123765 0.0035166796 0.003425055 0.004015013 0.00357205 0.003560844 0.0032226893 0.003541069 0.0034415342 0.003356501 0.0036834502 0.0034547176 0.0036630158 0.00343692 0.0035779825 0.0035799602 0.0032378503 0.0031462254 0.0034197816 0.0040044663 0.00404929 0.004024901 0.004062474 0.00428 0.0038462654 0.004710439 0.0036709257 0.0037335472 0.0035206347 0.00428791 0.003256307 0.0039458005 0.004005785 0.0042542927 0.0043116403 0.006532389 0.003913501 0.003625443 0.0045350995 0.0046385895 0.004117185 0.0039458005 0.0032780597 0.0035437057 0.0035766643 0.0034692194 0.0037052026 0.0054579396 0.0037843033 0.0040123765 0.0039919424 0.004289888 0.005098032 0.004026878 0.003599076 0.003421759 0.0031383152 0.003345295 0.0031244727 0.0031811614 0.0038989992 0.003991283 0.003056578 0.0034791068 0.0036307164 0.0039622798 0.0035812785 0.0042041955 0.0037269553 0.003844947 0.0036597198 0.003832423 0.0030868999 0.003483062 0.0033815496 0.003245101 0.0038034192 0.003864063 0.002960339 0.0034547176 0.002987365 0.0035588667 0.0036669709 0.004241109 0.003767165 0.0030625106 0.0032721271 0.0031284278 0.0033855045 0.0032853105 0.0033663886 0.003513384 0.0034804253 0.0033261792 0.0030460313 0.0034540584 0.0034158265 0.0037084986 0.0032391686 0.0036979518 0.0033749577 0.0036366489 0.0034632867 0.0032035732 0.0036735625 0.0037236596 0.0038311044 0.0038732914 0.0036649932 0.0033940738 0.002941223 0.00331761 0.0032266441 0.0035002003 0.0036089637 0.0040848856 0.004332075 0.0031673189 0.003264217 0.0032286218 0.003960961 0.0030921733 0.0041086157 0.004077635 0.0038390146 0.003533818 0.0035997352 0.003271468 0.0035918253 0.0029557247 0.0032358726 0.003775734 0.0035166796 0.0030559187 0.0036781768 0.0036768583 0.0036537873 0.0033037672 0.0037328878 0.003721682 0.0036069863 0.0032609212 0.0036913601 0.0040354477 0.0039036134 0.0032754228 0.0033742986 0.0037816665 0.0035384323 0.00334134 0.0033703437 0.0041903527 0.0038568121 0.0034580135 0.0033274975 0.0034349423 0.003252352 0.0038040783 0.0036155554 0.0035779825 0.0032273035 0.003814625 0.0036504916 0.0032839922 0.0035008595 0.004152121 0.0036841093 0.0034507625 0.0038383554 0.0035496382 0.0036577424 0.003744094 0.004275386 0.0038113294 0.0039431634 0.0040433574 0.0043426217 0.0039339354 0.0043584416 0.0046880273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009237753 0.000100625526 9.699641e-05 2.3754223e-05 1.2866871e-05 2.6393582e-06 6.5324115e-05 0.00011085304 2.3094383e-06 6.5983954e-07 2.3094383e-06 1.3196791e-06 1.6495989e-06 2.3094383e-06 9.897593e-07 2.9692778e-06 0.0027723159 0.00029428842 0.00017386771 0.00020718962 0.00037049988 0.00022170608 0.0016268344 0.0010042757 1.6825908e-05 8.247994e-06 4.288957e-06 1.2536951e-05 8.577914e-06 6.5983954e-06 5.9385557e-06 2.2764463e-05 0.019185824 0.002183409 0.0014430691 0.0013764253 0.0007311022 0.00047475455 0.002602737 0.0036132813 0.00023325327 0.00021345809 0.00018277555 0.0001986117 0.00018112596 0.00021807697 0.00014747413 0.00012273015 0.006191274 0.0008129223 0.00041833826 0.00030121676 0.00036753062 0.00031276394 0.0010712495 0.00082710886 0.000107553846 0.00020982897 0.00026294607 0.00012306008 0.00013559702 0.00013559702 0.00010392473 0.00010557433 0.0028152054 0.0003490551 0.00031870248 0.0002639358 0.00034047719 0.00036093223 0.0012632628 0.0006255279 6.3014675e-05 4.387933e-05 6.4994194e-05 5.9055637e-05 6.3344596e-05 2.5073901e-05 6.5324115e-05 3.4971494e-05 0.0008399757 0.00013031831 0.00011283256 0.000117781354 7.027291e-05 6.895323e-05 0.00030154665 0.00017650708 6.631387e-05 1.7485747e-05 1.7155828e-05 1.9795185e-05 1.8805427e-05 1.6495987e-05 2.6723501e-05 2.606366e-05 0.0005390889 0.00011052312 0.0001167916 7.6541386e-05 6.862331e-05 5.50966e-05 0.00012569943 7.093275e-05 2.4414063e-05 2.2764463e-05 2.5403822e-05 1.9465266e-05 2.4084142e-05 2.2764463e-05 2.3754223e-05 2.5403822e-05 0.00042361696 4.321949e-05 8.775866e-05 8.34697e-05 7.291227e-05 7.027291e-05 0.00016891892 0.00011151288 3.8270693e-05 3.7940772e-05 3.5631336e-05 3.4641576e-05 3.8270693e-05 3.6951013e-05 3.3981734e-05 3.3981734e-05 0.001406118 0.00026756493 0.00032266154 0.00036654086 0.00034509608 0.00028999947 0.00063542544 0.00047706396 0.000222036 0.00023523279 0.00020521009 0.000222036 0.0002203864 0.00023820208 0.00025139886 0.00037610854 0.07414155 0.05851688 0.057442 0.05716157 0.05808864 0.054091994 0.05859012 0.056872558 0.058023978 0.056065246 0.053401474 0.05588313 0.056399122 0.056624457 0.056140795 0.062286213 7067.0 7.580586 53572.0 0.0145225115 0.0070745912 0.009575898 0.008343911 0.0077092513 0.005805271 0.008474576 0.0072239228 0.006085268 0.005319943 0.0072612558 0.0069439257 0.011461211 0.0067385947 0.017546479 0.0061412677 0.014727843 0.01062122 0.009295901 0.009893227 0.0077465842 0.008511909 0.008493243 0.009071903 0.0061786007 0.0066825952 0.0075412528 0.005711939 0.006831927 0.011423878 0.0067199282 0.0065332637 0.00839991 0.00972523 0.01062122 0.01278653 0.0133651905 0.008325244 0.008213245 0.0071679237 0.010042559 0.010901217 0.00559994 0.008885238 0.010117225 0.0073172553 0.0069812587 0.0071679237 0.010415889 0.009874562 0.009538565 0.012357201 0.011629209 0.0067012617 0.009687897 0.006439931 0.007858583 0.0075412528 0.0073172553 0.0075599193 0.0053759427 0.0053386097 0.006365265 0.010751885 0.0068132607 0.02398641 0.013682521 0.015362503 0.013495856 0.03826626 0.011517211 0.013813186 0.008885238 0.02150377 0.0060479357 0.009762563 0.019095797 0.014802509 0.024247741 0.020794446 0.01119988 0.0057306057 0.023239752 0.019413127 0.02779437 0.017751811 0.0067199282 0.010658553 0.008381244 0.011106548 0.0077652503 0.006197267 0.007933249 0.0075785858 0.0070185917 0.0068505937 6.4261065 1.0 4.0 0.0 15.0 1517056.0 1540096.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3366312000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 1514496.0 512.0 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 -1514496.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9123425 0.0 4.271087 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 -1514312.0 0.0 1452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1522416.0 1452.0 1523712.0 0.0 0.0 0.0 0.0 12.0 1531904.0 56.0 1522268.0 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: 0.056862853 0.008302997 0.006181536 0.005660001 0.005755581 0.0049649677 0.0042003277 0.0054262453 0.0050501586 0.0056309113 0.0037463224 0.0044777174 0.004952501 0.0031676474 0.0043187635 0.0046335543 0.005036653 0.0037577504 0.0049358783 0.004156693 0.0043582423 0.0031780365 0.004109942 0.0038377466 0.005075093 0.0033432238 0.0031645307 0.0029286973 0.004145265 0.0034398427 0.0037909956 0.00379619 0.006175302 0.0038117738 0.0034917884 0.0030201217 0.0048963996 0.0041639656 0.0038429413 0.003723466 0.0047301734 0.00389177 0.0033369903 0.0030938846 0.004373826 0.0037286608 0.0037193105 0.003581135 0.0055103973 0.0039509884 0.003099079 0.002896491 0.0036756762 0.0030772618 0.0026887082 0.0028518178 0.004171238 0.0033130953 0.003520878 0.0033380291 0.004009167 0.003219593 0.0035011386 0.0034543877 0.006600218 0.0039520273 0.0036154191 0.003220632 0.004156693 0.0032175153 0.0035395785 0.0030679116 0.005000291 0.0037764506 0.0037037267 0.0035884073 0.004146304 0.0031395967 0.003559318 0.003473088 0.0051717116 0.0036258083 0.0036476254 0.0033369903 0.003928132 0.0033754301 0.003364002 0.0035406174 0.0046532936 0.003640353 0.003807618 0.0034990609 0.004100592 0.0033837415 0.0036839875 0.0037816453 0.0059166127 0.0036237305 0.0033484183 0.0029505144 0.004013323 0.0030575225 0.0032746554 0.0030346664 0.0049660066 0.0031624527 0.0031956981 0.0030440167 0.0035769793 0.0028279226 0.003086612 0.0031988148 0.0045078457 0.0032975115 0.0032227098 0.0031302464 0.0038896922 0.003328679 0.0032902393 0.0036258083 0.004627321 0.0032995895 0.0034741268 0.0031676474 0.004038257 0.0032008926 0.003473088 0.0033504963 0.008664539 0.0045940755 0.004014362 0.003532306 0.0043644756 0.0034356872 0.0030138881 0.0033899748 0.0045379745 0.003833591 0.0029494755 0.0031925812 0.0037317774 0.0027905218 0.0028393506 0.0029785652 0.005237163 0.0032040093 0.0034938662 0.003028433 0.003666326 0.0031759588 0.0033027062 0.0032642663 0.00454213 0.002836234 0.0030409 0.0026928638 0.0035156833 0.0032247875 0.0029868765 0.0031499858 0.005014836 0.003411792 0.0032767332 0.002800911 0.0037806064 0.0030086937 0.0030544058 0.00318427 0.0041359146 0.0029931099 0.0031157017 0.0030190828 0.0036476254 0.0028279226 0.002919347 0.0030450555 0.004675111 0.003113624 0.0038367077 0.0028507789 0.0035613957 0.0031458302 0.0029889543 0.0031167406 0.0042574676 0.0031416747 0.003329718 0.0031728419 0.003654898 0.0031905035 0.0033203678 0.003341146 0.0067238486 0.004053841 0.003725544 0.0033442627 0.0041151363 0.003254916 0.0033099786 0.0032268655 0.0043343473 0.0033224456 0.0031146628 0.0030783007 0.0036486643 0.0029847985 0.0030741452 0.0027936385 0.0042564287 0.0032829668 0.0030928457 0.00300246 0.0037172327 0.003006616 0.002931814 0.002943242 0.0039831945 0.0031094681 0.0027219534 0.002632607 0.0035291894 0.0029380475 0.0035800962 0.0028798683 0.004951462 0.00323206 0.003388936 0.0029723316 0.0038128127 0.0030689507 0.0031988148 0.0029027245 0.004444472 0.0054511796 0.0034647768 0.0031219353 0.003784762 0.003075184 0.0032414102 0.0031915423 0.0046200487 0.0033110175 0.0034201033 0.0030388222 0.0037473612 0.0030928457 0.0033089397 0.003243488 0.0043561645 0.003029472 0.003183231 0.0028601289 0.0040195566 0.003087651 0.004229417 0.004529663 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 962544.0 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: 0.03898928 0.008458766 0.006908364 0.007350881 0.007653321 0.006018554 0.007524386 0.0068271826 0.008048085 0.0054709786 0.0054646116 0.005201966 0.0073126783 0.005334085 0.005284739 0.0054280004 0.007284026 0.005216292 0.004711695 0.004563659 0.0059150876 0.0047562653 0.0046798596 0.0051176012 0.006516784 0.0049950336 0.004009716 0.0043328493 0.005138295 0.0041593444 0.0037884577 0.004464968 0.0075021014 0.0055012223 0.0040431437 0.0040606535 0.005423225 0.0045652506 0.0040463274 0.0043837866 0.0046432484 0.004062245 0.0032615755 0.0038744141 0.0044840695 0.0038409866 0.0037502546 0.0037470711 0.005692237 0.0039635543 0.004396521 0.0032774934 0.004861323 0.0035656071 0.004183221 0.0038998828 0.004601862 0.0033650417 0.0030689691 0.00414661 0.003815518 0.0028668118 0.0028174664 0.0033570828 0.006583639 0.005103275 0.0055394256 0.004967973 0.0047323885 0.004170487 0.004684635 0.004434724 0.005763868 0.004019267 0.0036961338 0.0037916412 0.0047101034 0.00443154 0.0034112036 0.0034716916 0.00547257 0.003460549 0.0037916412 0.0040081246 0.004371052 0.0033889187 0.0036595226 0.0036467884 0.00494728 0.003197904 0.00331888 0.003446223 0.003643605 0.002873179 0.0027553865 0.0032074547 0.005216292 0.0042787287 0.0031994956 0.0034271216 0.005100092 0.0031294571 0.0034971603 0.003355491 0.0047419393 0.0044299485 0.0031278653 0.0034653244 0.004200731 0.003672257 0.0030403167 0.0036260951 0.0046719005 0.0029161572 0.0031485585 0.002887505 0.0045859437 0.004358318 0.0029798287 0.0035608318 0.0036229116 0.0029145656 0.0019037796 0.0028413432 0.0030578265 0.0026662464 0.0024927414 0.0035751578 0.006952934 0.004743531 0.0038855567 0.0050236857 0.0047244295 0.0041529774 0.0039094337 0.003724786 0.0047212457 0.004418806 0.003302962 0.004165712 0.0037263779 0.003890332 0.0026821643 0.003014848 0.0065104165 0.0036324624 0.0036069937 0.0029002393 0.0032408822 0.002639186 0.0028636283 0.0030100727 0.0034780588 0.0026869397 0.0029050147 0.002752203 0.002917749 0.0023876834 0.0021138957 0.0024497632 0.0037534384 0.0035735662 0.0021887098 0.0025213936 0.0036372377 0.0028524857 0.003151742 0.002994155 0.0031485585 0.0025659637 0.0019324317 0.0022364634 0.003181986 0.0026948988 0.0021616493 0.0028556692 0.0048517724 0.0030562347 0.002397234 0.0025436787 0.0035878923 0.0028190583 0.0029081984 0.0032313315 0.0040081246 0.002413152 0.0026662464 0.0028763625 0.003092846 0.0021839344 0.002104345 0.0027012657 0.0054041236 0.0038171099 0.003718419 0.0037136436 0.003938086 0.0025882488 0.00386168 0.0035878923 0.0051924153 0.003393694 0.0017016224 0.0023494805 0.002693307 0.0022189538 0.0018894534 0.0028668118 0.003949228 0.0024099685 0.0029814206 0.003369817 0.0033125128 0.0021027531 0.002986196 0.0030068893 0.0044840695 0.0026662464 0.002919341 0.0030228072 0.0031151308 0.0024720482 0.0024640893 0.0027888143 0.004570026 0.002903423 0.0022205454 0.0024863742 0.0048135696 0.0014771802 0.0016379508 0.0024306616 0.0035305878 0.002225321 0.0017812118 0.004613004 0.0036388296 0.0025898407 0.0019626757 0.0028970558 0.004275545 0.002217362 0.0023542559 0.0018814945 0.0030641938 0.0017477842 0.0025595967 0.0029304833 0.0036069937 0.0018385162 0.0016586441 0.0024242946 0.0026328189 0.0019881444 0.0021170792 0.009523673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025730508 8.0582366e-05 3.9094415e-05 2.4733201e-05 6.622115e-05 7.8986675e-05 5.1062092e-05 2.2339666e-05 3.5903035e-05 3.829657e-05 2.313751e-05 8.776297e-06 6.3827615e-06 1.2765523e-05 8.616728e-05 0.00012047462 0.002118279 6.781684e-05 7.978452e-06 1.5956904e-05 0.000515408 0.0003622217 4.627502e-05 3.989226e-06 1.2765523e-05 7.1806066e-06 5.5849164e-06 5.5849164e-06 4.7870712e-06 1.5956904e-05 6.0636234e-05 1.7552595e-05 0.007751864 0.00058402267 0.00016116473 8.616728e-05 0.0007579529 0.0005608852 0.00023456648 8.0582366e-05 0.0002648846 8.935866e-05 0.000114889706 7.499745e-05 5.2657782e-05 8.776297e-05 0.0002840329 0.0002521191 0.0010738996 3.9094415e-05 7.4199605e-05 2.3935356e-05 4.148795e-05 4.2285796e-05 4.0690105e-05 1.0371988e-05 0.00014361214 1.2765523e-05 1.1967678e-05 1.3563368e-05 1.3563368e-05 2.6328891e-05 5.1859937e-05 1.4361213e-05 0.003819285 0.00010132634 0.00011887893 0.00015398412 0.00038137 0.00034945618 0.00011249617 0.0001396229 0.0001571755 0.00015797335 0.00011808109 0.0001890893 0.00015956904 0.000114889706 8.696513e-05 0.00037578508 0.002530765 9.733711e-05 4.5477176e-05 7.659314e-05 0.00010292203 0.00013164445 8.0582366e-05 0.00018430223 0.00029759624 0.00016196257 6.9412534e-05 0.00022579018 0.00015637766 2.8722427e-05 0.00018749361 0.0005249821 0.007012261 0.0005098231 0.00037578508 0.00037658293 0.0003518497 0.00044200622 0.00047232435 0.00048110064 0.00062551064 0.00041807088 0.00034387127 0.0004252515 0.0004978554 0.00040690103 0.00045397392 0.0015127144 0.004751168 0.00057843776 0.00038775275 0.00043243208 0.0004412084 0.00039253983 0.00034307342 0.0003670088 0.00057285285 0.00042684717 0.00037738078 0.0004061032 0.00047232435 0.00040370965 0.000551311 0.0021677453 0.0020847695 0.00029280919 0.00021940742 0.00022977941 0.00024094924 0.00018031301 0.00019866345 0.00020025914 0.00027286305 0.000247332 0.00026727814 0.00025132124 0.00025929968 0.0002489277 0.00027685228 0.0010651234 0.0014656415 0.00048110064 0.00033429713 0.0003358928 0.00038615707 0.00020265268 0.00032073376 0.00026169323 0.0002561083 0.0004252515 0.00019467423 0.00022180096 0.00026089538 0.00020345052 0.00025850185 0.0009270961 0.10062184 0.07694659 0.06956173 0.060238905 0.07034361 0.05654648 0.059596643 0.050475676 0.064545676 0.04822017 0.0440243 0.0457269 0.05117459 0.04660852 0.043574315 0.03989864 4125.0 6.0169697 24820.0 0.01881547 0.013013699 0.0090652695 0.011845286 0.01357776 0.009750201 0.010112812 0.011240935 0.012570508 0.00898469 0.0074939565 0.008138598 0.011240935 0.008662369 0.010636583 0.010475423 0.014464142 0.010112812 0.01329573 0.009750201 0.012933118 0.008138598 0.010596293 0.010515713 0.012852538 0.00922643 0.008380339 0.011079774 0.0090652695 0.0069298954 0.007695407 0.008541498 0.016438356 0.013215149 0.014222401 0.01369863 0.011684125 0.010596293 0.01369863 0.011079774 0.015713135 0.011200645 0.0084206285 0.00926672 0.014262691 0.010515713 0.0096696215 0.010193393 0.014262691 0.007856567 0.010354552 0.011120064 0.011281225 0.009790491 0.007977437 0.00890411 0.012731668 0.008299759 0.0075342464 0.010475423 0.009830781 0.0069298954 0.006688155 0.009750201 0.011966157 0.012852538 0.008058018 0.00910556 0.0182917 0.010435133 0.0074939565 0.009790491 0.012288477 0.010999194 0.0065672845 0.010435133 0.014585012 0.009991942 0.008259468 0.010153103 0.012369057 0.0069701853 0.009871072 0.010032232 0.01337631 0.011764706 0.008380339 0.008622079 0.009427881 0.00898469 0.004230459 0.0075342464 0.008380339 0.0067284447 0.006244964 0.0089444 6.541263 1.0 0.0 0.0 6.0 628224.0 1966080.0 0.0 0.0 10.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 585728.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -584704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 42496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9174085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.003162 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -585728.0 0.0 0.0 0.0 0.0 0.0 1331200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 588.0 1962556.0 41532.0 1921024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1919824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0