Input: 0.81414545 0.0019204197 0.0011332813 0.0010582482 0.0013980203 0.0008267786 0.0007177684 0.0006561847 0.0011403598 0.00074395916 0.0006038032 0.0006307018 0.0011276184 0.0014376603 0.0005379724 0.0010617876 0.0010221475 0.00050682656 0.00047001796 0.0006151289 0.00086287933 0.0015898498 0.00046860223 0.00045869223 0.0008041271 0.00050895015 0.00043604075 0.00057548884 0.00069086975 0.0004884223 0.00043887217 0.00041268143 0.0009931253 0.00043320932 0.00058610673 0.000414805 0.003492573 0.0009336652 0.00044595078 0.00045869223 0.0006731733 0.00044807434 0.0004608158 0.0005117816 0.0005825674 0.00044665864 0.00056699454 0.00047072582 0.00092021585 0.0004905458 0.0005351409 0.0007814756 0.00055566884 0.00050045585 0.00042542288 0.00042471502 0.00067104975 0.00046364721 0.00042967004 0.0006342411 0.0010299339 0.0011014276 0.0005570845 0.00052098377 0.0010079903 0.0049691657 0.00085580075 0.0005761967 0.0015027833 0.000569826 0.00055991596 0.0005103659 0.00065052183 0.00045940006 0.00053868024 0.00043958004 0.0016620514 0.0008402279 0.00055637665 0.0004402879 0.0014489861 0.00086854224 0.00082961 0.0006639711 0.0008911937 0.00074183557 0.00081120565 0.0007538691 0.0005761967 0.0005889381 0.00045586078 0.00054717454 0.0006944091 0.00055000593 0.0006342411 0.0007106898 0.00054929807 0.0006682183 0.00058610673 0.0005627474 0.0010136531 0.00093932805 0.00068449904 0.00055850024 0.0012479543 0.0007956328 0.0011807077 0.00042896217 0.00081969996 0.000579736 0.00076094776 0.0007276784 0.0006512297 0.00041976 0.00080625067 0.0006292861 0.0017816795 0.00081969996 0.00047143365 0.0004933773 0.0006193761 0.00050045585 0.0004402879 0.00048488297 0.0007283863 0.0005188602 0.00047214152 0.00043604075 0.0012486621 0.000884823 0.00060097175 0.0012522014 0.0010263947 0.0017066465 0.0007864306 0.00064131967 0.00066043186 0.0010285182 0.0005082423 0.002902927 0.0006016796 0.002832849 0.0005811517 0.0005160287 0.0007092741 0.00043037787 0.00040772642 0.00051107374 0.00047851226 0.0005485902 0.0005316016 0.00053230947 0.00119982 0.0004402879 0.00045940006 0.00045302935 0.0005662867 0.00046435508 0.00044736647 0.00041834428 0.0005726574 0.0006476904 0.00045019793 0.0005464667 0.00055566884 0.00047143365 0.00040914214 0.00036667063 0.00052806234 0.00039852425 0.0004232993 0.00039498496 0.00056487095 0.00043108573 0.00051956804 0.0004778044 0.00054080377 0.00043250146 0.00042471502 0.00044665864 0.00048700656 0.00042683858 0.00044807434 0.00041197357 0.0007283863 0.00044595078 0.000504703 0.00048205155 0.00051956804 0.00047072582 0.00057336525 0.00052806234 0.0009081823 0.0006165446 0.00060451106 0.0010589561 0.000844475 0.0004551529 0.00095844024 0.00086217147 0.0006901619 0.00047143365 0.0005592081 0.0004926694 0.003043791 0.00043816434 0.0007758128 0.00061158964 0.00060521887 0.000494793 0.000569826 0.0005273545 0.0005011637 0.0005294781 0.0012061907 0.0004933773 0.0005627474 0.00046860223 0.00044170363 0.0005032873 0.0004933773 0.00047709653 0.0004438272 0.00043108573 0.00067742047 0.00043604075 0.00041268143 0.00044170363 0.0012408757 0.00047001796 0.0007000719 0.0004218836 0.0016153328 0.00070785836 0.00046860223 0.0005938932 0.00063140964 0.00045940006 0.00043958004 0.0004608158 0.0006922855 0.0005740731 0.00046223152 0.00047072582 0.00062857824 0.00045940006 0.0006087582 0.000579736 0.00066255545 0.0004572765 0.00045161363 0.00043887217 0.00057336525 0.0007170605 0.0005712417 0.0055942046 0.7880987 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005467474 1.0275875e-05 1.4173621e-05 1.8780049e-05 1.3819281e-05 1.2756259e-05 1.7008346e-05 9.567194e-06 1.7717026e-05 7.795492e-06 1.0275875e-05 4.9607675e-06 7.795492e-06 7.795492e-06 9.567194e-06 1.6654005e-05 0.0024488475 7.405717e-05 6.90964e-05 1.7008346e-05 0.00030225248 8.5750406e-05 0.00014846868 1.984307e-05 2.019741e-05 5.9529208e-05 1.5590984e-05 2.1969114e-05 2.019741e-05 4.3229546e-05 4.3583885e-05 0.00023882552 0.0036734482 0.00011764106 7.476585e-05 6.165525e-05 0.00050599826 0.0001775246 0.00014598829 0.0001179954 0.00014669698 6.803338e-05 3.862312e-05 4.3229546e-05 0.00018638311 6.094657e-05 6.2363935e-05 0.0003242216 0.0023503408 9.6026284e-05 8.04353e-05 0.00014031885 0.00044079963 0.00021614772 0.0007313588 0.00036390772 0.00018744614 2.9764604e-05 2.5512518e-05 2.9764604e-05 0.00010240441 4.004048e-05 3.1536307e-05 0.00021402168 0.0017777265 7.582887e-05 0.00016370532 0.00025016442 0.00052406965 0.00015980758 0.0006477345 0.00035540355 0.00017291818 2.2323453e-05 2.3386476e-05 2.7638562e-05 5.350542e-05 2.728422e-05 2.4803838e-05 4.7835973e-05 0.0049324203 0.00032138685 0.00027000747 0.0012217661 0.0017603637 0.0003295367 0.00078734464 0.00048473786 0.00041209804 0.00024059722 0.00016016192 0.00015272076 0.0003568209 0.00017823328 0.00023882552 0.0004896986 0.00090640306 9.70893e-05 0.0003164261 0.0001066565 0.00047587932 9.5317606e-05 5.4214102e-05 5.137938e-05 0.0007423434 0.00011055425 3.7914437e-05 0.00012083012 0.00044859512 0.0001590989 0.0004230826 0.0009340416 0.013669395 0.0026571997 0.003544114 0.0013836998 0.0047453283 0.0035370272 0.0021947853 0.0018974935 0.0076183216 0.0012150337 0.00096593227 0.00080506166 0.004605364 0.0013110599 0.0024871163 0.0039668423 0.004445556 0.0009545934 0.0013185011 0.0008787645 0.0014857498 0.0011866865 0.001313186 0.0011282202 0.002429713 0.00096628664 0.0006629711 0.00061584386 0.0015619331 0.0009914448 0.00087309506 0.0016838262 0.0061796987 0.0059440625 0.006069499 0.0059734727 0.0058983522 0.0059773703 0.006064184 0.0058444925 0.006049656 0.0058880765 0.005825713 0.0060563884 0.0060609947 0.0059369756 0.005992253 0.0060298126 1341.0 10.256525 13754.0 0.023120547 0.0044350736 0.0072706123 0.0026901264 0.014977461 0.0056710774 0.0039261305 0.008797441 0.004798604 0.0034171878 0.0035626 0.0037807184 0.0057437834 0.005307547 0.013523338 0.007561437 0.016722407 0.0080703795 0.011705685 0.007634143 0.005961902 0.004725898 0.004144249 0.004216955 0.005889196 0.0055983714 0.0045804856 0.0050167223 0.006107314 0.010760506 0.0057437834 0.009888032 0.015922641 0.017085938 0.004362367 0.018103825 0.01686782 0.005889196 0.007924967 0.005961902 0.010106151 0.006688963 0.0070524937 0.0044350736 0.008361204 0.007779555 0.0050167223 0.0050167223 0.01163298 0.006543551 0.009524502 0.014177694 0.0103242695 0.013232514 0.01199651 0.011778392 0.005234841 0.0069797877 0.004216955 0.0063254326 0.0046531917 0.006616257 0.00487131 0.011923804 0.005961902 0.01817653 0.017594881 0.016358877 0.014541225 0.04144249 0.008942853 0.013596045 0.011923804 0.027482914 0.0055256654 0.004362367 0.028791625 0.011342155 0.021302894 0.020139595 0.011269449 0.0037807184 0.02908245 0.02101207 0.08237603 0.008506617 0.0064708446 0.0069070817 0.0071252 0.010106151 0.0033444816 0.0050167223 0.004289661 0.0036353061 0.0034171878 0.004216955 6.174731 0.0 14.0 0.0 3.0 1412712.0 303104.0 1.0 0.0 127.0 0.0 1.0 1.0 0.0 0.0 1171255700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 91136.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -91136.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.666001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2059174 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1403475 0.0 7.909572 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34374.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -91047.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 1.0 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 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 -1.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 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 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 1.0 -1.0 -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 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 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 -1.0 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 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -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 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 1.0 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 -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 -2.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 2.0 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 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 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 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -1.0 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 -1.0 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 0.0 0.0 0.0 0.0 -1.0 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 2.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 127968.0 24544.0 139264.0 0.0 0.0 5736.0 153600.0 0.0 0.0 28.0 100288.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 115176.0 0.0 0.0 1896.0 98304.0 0.0 0.0 0.0 0.0


Input: 0.15299203 0.010322473 0.007982879 0.01705452 0.006802693 0.0042844084 0.0017245678 0.003486536 0.009030086 0.0014378325 0.0023686835 0.0062957113 0.006682181 0.0017495013 0.0016705452 0.010293384 0.020466257 0.0012092752 0.0012882313 0.00073553855 0.0043924535 0.005688996 0.00085189496 0.00081865024 0.00408494 0.0008394282 0.0009682513 0.0009765625 0.003054355 0.00041140293 0.00072722737 0.0006482713 0.011282413 0.0007521609 0.00063164893 0.00088098407 0.008751662 0.0022814162 0.00034075798 0.0010264295 0.0019157247 0.0006482713 0.00046542555 0.0024102393 0.002555685 0.0015666556 0.0008892952 0.00042802526 0.0050074803 0.0020320811 0.0019614361 0.009562002 0.0025806183 0.002784242 0.0011760306 0.00110123 0.0029421542 0.0042844084 0.0010679853 0.0069232048 0.0021484375 0.001803524 0.0014004322 0.0015084774 0.0050324136 0.003914561 0.0019905253 0.0026304855 0.004537899 0.014494681 0.004537899 0.0030585106 0.0033826462 0.0011801862 0.0005734707 0.00063164893 0.0034449801 0.0068733376 0.0021027261 0.0011635638 0.009329288 0.0035031582 0.0015375665 0.00358627 0.002385306 0.0054645943 0.0035571808 0.004521277 0.0026803524 0.0038023603 0.000951629 0.0021484375 0.0013297872 0.003544714 0.0030252659 0.0031540892 0.0015126329 0.0032579787 0.0007770944 0.0017993683 0.0046043885 0.006860871 0.0077792555 0.00085189496 0.00564744 0.0026595744 0.007110206 0.00044880318 0.0026097074 0.0013796543 0.0030127992 0.0028590425 0.003848072 0.00068982714 0.0041140295 0.003424202 0.019489694 0.017145945 0.003947806 0.0025930852 0.0023271276 0.0010929189 0.0006732048 0.0005900931 0.0010638298 0.003615359 0.0011178524 0.0010430518 0.0046417885 0.004438165 0.0022772606 0.010322473 0.004184674 0.01757397 0.0014461436 0.0007438497 0.0015417221 0.023420878 0.0009100731 0.04701629 0.0010970745 0.008635306 0.000610871 0.00034906916 0.0011677194 0.00031582447 0.00028673536 0.00043218085 0.0012009641 0.00063580455 0.0004737367 0.00023686835 0.0009266955 0.00030751328 0.00026180185 0.00038646942 0.000731383 0.00037815823 0.0004197141 0.00021609043 0.00088098407 0.0010929189 0.00020362367 0.0005319149 0.00073969417 0.00061502657 0.0002493351 0.00020777926 0.00086851727 0.00027011303 0.00019115691 0.0002784242 0.0015957446 0.00020362367 0.00023686835 0.00027011303 0.0013214761 0.00034491357 0.00030335772 0.000390625 0.0013588764 0.0007438497 0.001853391 0.0020320811 0.00220246 0.0009765625 0.0010638298 0.0015001663 0.0011344748 0.0022980385 0.0028798205 0.0009557846 0.01676363 0.0024891954 0.0028881317 0.003233045 0.002493351 0.00035322472 0.0017785904 0.004217919 0.0032122673 0.00454621 0.001441988 0.0013214761 0.010442985 0.000610871 0.0022357048 0.0014502992 0.0048412564 0.0019074136 0.0034408246 0.00074800535 0.0019780586 0.00030335772 0.0022357048 0.00073969417 0.0024393285 0.0010804521 0.00046542555 0.0020653259 0.0025681516 0.0012799202 0.0003615359 0.0006441157 0.0049035903 0.00043633644 0.00062333775 0.00034491357 0.0036319813 0.00043218085 0.00037400267 0.00042386967 0.012288065 0.003415891 0.00077293883 0.0074883644 0.003174867 0.00027426862 0.0005152926 0.00035322472 0.00390625 0.0007978723 0.0005859375 0.0005900931 0.0019614361 0.0009100731 0.0041722073 0.0021858378 0.004708278 0.0023894615 0.0010555186 0.0009557846 0.005759641 0.0019281915 0.008011968 0.05620013 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0073158722 0.00018571381 8.346688e-06 8.346688e-06 8.346688e-06 8.346688e-06 8.346688e-06 8.346688e-06 0.0002462273 1.2520032e-05 1.6693377e-05 5.21668e-05 0.00044446113 0.00015858708 5.6340145e-05 8.346688e-06 0.0073054386 0.00015024039 2.2953393e-05 1.4606704e-05 3.7560098e-05 5.6340145e-05 2.5040064e-05 1.6693377e-05 0.00016276042 1.043336e-05 6.260016e-06 4.173344e-06 0.00025874734 0.00023370727 0.00010224693 0.00013980703 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003092448 6.051349e-05 7.929354e-05 8.138021e-05 0.00013146034 7.5120195e-05 0.00032552084 0.00015441373 0.00011685363 1.043336e-05 1.043336e-05 3.964677e-05 3.5473426e-05 5.8426816e-05 2.086672e-06 0.0 0.023514707 0.00025666066 0.0075078458 0.00029630744 0.0026876335 0.0013855502 0.007069645 0.0036871494 9.390024e-05 3.1300082e-05 8.5553555e-05 6.051349e-05 7.929354e-05 5.008013e-05 0.00011685363 8.5553555e-05 0.019042969 0.00016067375 0.0033824954 0.0012707833 0.0018592248 0.001037076 0.0061890692 0.0036454159 0.00086179556 0.0005383614 7.303352e-05 8.764023e-05 9.181357e-05 6.677351e-05 8.346688e-05 7.094685e-05 0.021286141 0.001934345 0.0025102664 0.0013938969 0.002303686 0.0022723859 0.009955512 0.0051186066 0.00039229434 0.00037768763 0.00020658053 0.00029422075 0.00044028778 0.00047158787 0.0004548945 0.0061431625 0.0055881077 0.000515408 0.00044028778 0.0013354701 0.0003964677 0.00062808825 0.00093482906 0.00062391494 0.00013772036 0.0001648471 0.000118940305 0.00013563369 0.00018154047 0.0003359542 0.00016693377 0.0011163695 0.007436899 0.0013354701 0.0010120359 0.0128789395 0.0011059361 0.0015253572 0.0022369125 0.0016839443 0.0013333834 0.0010725494 0.00076372194 0.0010120359 0.0010975895 0.0009118757 0.0009014423 0.0021534455 0.001018296 7.720687e-05 0.0001043336 0.00011476696 0.0005008013 0.00021492722 5.4253473e-05 0.00018988716 0.000909789 2.2953393e-05 2.2953393e-05 4.3820113e-05 0.00018571381 6.886018e-05 0.00020032052 0.0005446214 0.045581263 0.010322766 0.0050205328 0.006913144 0.013803335 0.0115100825 0.0051999865 0.012405265 0.034557376 0.0018237514 0.0020219851 0.0046198918 0.013644748 0.0043799244 0.009746845 0.023577306 0.10207165 0.032247428 0.01680397 0.023166232 0.036896534 0.0359471 0.021275708 0.039365068 0.09088291 0.0042797644 0.0050664395 0.015019865 0.04318159 0.020403478 0.027704744 0.0626106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1265.0 10.159684 12852.0 0.0046685343 0.0011671336 0.0017117958 0.0017896048 0.01696234 0.003267974 0.0010893246 0.0014005603 0.003968254 0.0017117958 0.0013227513 0.001633987 0.0033457829 0.017195767 0.009103642 0.0014783691 0.020774977 0.01416122 0.009959539 0.011826953 0.01198257 0.00708061 0.005602241 0.0066137565 0.012293806 0.018207284 0.00568005 0.02552132 0.008325553 0.008325553 0.0077030812 0.008714597 0.0049797697 0.008792406 0.0034235916 0.01128229 0.0126828505 0.005991285 0.005291005 0.006224712 0.00638033 0.0037348273 0.0011671336 0.0012449424 0.009103642 0.0019452225 0.0024898848 0.0033457829 0.025287893 0.009414877 0.007158419 0.013694366 0.009259259 0.0028789293 0.0069249924 0.012215997 0.018129474 0.0035014006 0.0026455026 0.0014005603 0.0018674136 0.0010893246 0.0021786492 0.013616558 0.0019452225 0.03042328 0.006302521 0.017273577 0.044273265 0.057889823 0.027777778 0.007236228 0.020308124 0.023731714 0.025599128 0.0018674136 0.025676938 0.012215997 0.025754746 0.029178338 0.011437909 0.0011671336 0.034158107 0.019607844 0.049875505 0.019296607 0.0035792096 0.008558979 0.0060690944 0.005291005 0.0028011205 0.0011671336 0.001633987 0.0014005603 0.001556178 0.0010115157 5.9379787 0.0 0.0 0.0 2.0 240640.0 253952.0 1.0 129.0 153.0 1.0 1.0 0.0 0.0 0.0 202956060.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 10.0 0.0 14.0 15.0 10.0 0.0 10.0 0.0 218624.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218624.0 -6656.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7305803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.816257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.55033 -5.317573 2.4200447 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2790.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218313.0 -6218.0 6216.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 2.0 -2.0 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 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 -2.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 0.0 2.0 -1.0 1.0 0.0 0.0 2.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 2.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 1.0 0.0 -3.0 2.0 0.0 -1.0 1.0 0.0 4009.0 218400.0 640.0 230116.0 6216.0 237568.0 0.0 0.0 0.0 0.0 7032.0 245760.0 84.0 22320.0 0.0 0.0 0.0 0.0 0.0 0.0 164.0 4152.0 0.0 0.0 736.0 229376.0 0.0 0.0 0.0 0.0


Input: 0.056520518 0.008289153 0.0061639408 0.0056465785 0.0057560406 0.004963991 0.0042070523 0.0054245573 0.0050414405 0.0056207622 0.003744421 0.0044631516 0.0049474686 0.003172328 0.004321677 0.004637671 0.005029049 0.003756813 0.0049381745 0.0041626478 0.0043640165 0.0031774912 0.0041058515 0.0038394257 0.005073453 0.0033427167 0.003175426 0.00292449 0.004150256 0.0034346234 0.0037857273 0.003789858 0.006171169 0.00381774 0.0034924522 0.0030308538 0.004885509 0.0041574845 0.003844589 0.003729964 0.0047264798 0.0038982872 0.0033365209 0.003109336 0.0043660817 0.0037134413 0.003729964 0.0035895223 0.005515431 0.0039519854 0.00308765 0.0028904122 0.0036762655 0.003081454 0.002694207 0.0028718244 0.004174007 0.0033189657 0.0035048441 0.0033499454 0.004001553 0.0032301568 0.0035069096 0.0034614725 0.006593527 0.003953018 0.0036236 0.0032301568 0.0041616154 0.0032156997 0.0035409871 0.0030638988 0.004991873 0.003769205 0.0037103433 0.0035853917 0.004145093 0.0031320543 0.0035668036 0.0034759298 0.0051653595 0.0036184366 0.0036473512 0.0033303248 0.0039251363 0.0033819578 0.003360272 0.0035409871 0.004652128 0.0036483838 0.0038074132 0.0035110402 0.004107917 0.0033881539 0.003692788 0.0037846947 0.0059057763 0.0036339266 0.0033416841 0.002957535 0.0040149777 0.0030556377 0.0032714633 0.0030349845 0.0049670893 0.0031692302 0.0031929812 0.003051507 0.0035771304 0.0028532364 0.0031021072 0.0031909158 0.0045137517 0.0032921166 0.003223961 0.0031351524 0.0038858952 0.0033303248 0.003287986 0.0036256653 0.004625279 0.0032941818 0.0034800605 0.0031671647 0.0040304675 0.003197112 0.0034666357 0.0033499454 0.0086278645 0.00459843 0.004017043 0.003529628 0.004368147 0.0034501133 0.0030143312 0.0033829904 0.004543699 0.0038363277 0.0029657963 0.003178524 0.0037382252 0.0028016034 0.002844975 0.0029864495 0.0052180253 0.003214667 0.0034893544 0.0030256906 0.0036669716 0.0031909158 0.0033138024 0.0032776592 0.0045447317 0.002844975 0.0030473764 0.0027004029 0.0035120728 0.0032291242 0.0029771556 0.0031465115 0.0050052977 0.0034191336 0.0032745614 0.0028047014 0.0037764334 0.0030184619 0.003057703 0.00318472 0.00412857 0.0029916128 0.0031248257 0.0030194945 0.003653547 0.0028439425 0.0029286207 0.0030473764 0.0046634874 0.0031134665 0.003838393 0.0028542692 0.003562673 0.003163034 0.0029812863 0.0031248257 0.0042576524 0.0031547728 0.0033323902 0.003175426 0.003642188 0.0032012425 0.0033375535 0.0033365209 0.006706087 0.004056284 0.0037217026 0.0033354883 0.004122374 0.0032642346 0.0033055411 0.0032373855 0.004326841 0.0033354883 0.0031217278 0.003073193 0.003632894 0.0029926454 0.0030824868 0.0028047014 0.0042545544 0.0032797246 0.0031021072 0.0029957434 0.0037072452 0.0030267232 0.0029358491 0.0029492737 0.0039819325 0.0031103685 0.002733448 0.0026322475 0.003538922 0.0029492737 0.003587457 0.0028842161 0.004956763 0.0032559733 0.0033974478 0.0029761228 0.0038136092 0.003075258 0.0032043406 0.0029110652 0.0044455966 0.0054524387 0.003465603 0.0031279237 0.0037908908 0.003090748 0.003247712 0.00318472 0.0046097892 0.003324129 0.0034160356 0.0030380825 0.0037423559 0.003096944 0.0033261941 0.0032456468 0.0043567875 0.0030442784 0.0031826547 0.0028594325 0.0040129125 0.0030979766 0.004223575 0.004502393 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004570395 0.00029172737 0.00027310647 0.000265865 0.00030517578 0.00023793367 0.00032896915 0.00030362405 0.00032534843 0.00035121077 0.00032431394 0.00035276252 0.0005182816 0.00015724312 0.0001877607 0.0007401806 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09908644 0.062006548 0.062472586 0.055327334 0.06062084 0.059539795 0.054993194 0.054466635 0.060479116 0.053170413 0.052181438 0.052957825 0.056452863 0.050593488 0.056690797 0.053875938 4044.0 5.7017803 23058.0 0.017174082 0.010538641 0.00941105 0.008673779 0.013487726 0.012490242 0.011883077 0.011492757 0.012490242 0.009844739 0.008543672 0.008847254 0.013791309 0.010495272 0.011709602 0.009888108 0.016697025 0.011926446 0.0087605165 0.007502819 0.009888108 0.008587041 0.007936508 0.008370196 0.010321797 0.008500303 0.009584526 0.008890623 0.011406019 0.008977361 0.0096278945 0.009237574 0.018214935 0.010798855 0.010365166 0.00902073 0.010842224 0.008847254 0.010668748 0.008283459 0.014224998 0.011622864 0.009714632 0.008933992 0.011536126 0.009324312 0.011666233 0.009541157 0.014788793 0.009541157 0.009974846 0.00902073 0.012099922 0.009324312 0.0096278945 0.009714632 0.013791309 0.0091942055 0.01058201 0.009497788 0.011102437 0.009758001 0.010365166 0.010625379 0.017867984 0.011015699 0.0096278945 0.008196721 0.013010669 0.00824009 0.009324312 0.008283459 0.015352589 0.009237574 0.008847254 0.008717148 0.01136265 0.008153352 0.010018215 0.007849771 0.013140775 0.007979877 0.008673779 0.0087605165 0.01136265 0.009367681 0.008326828 0.007979877 0.011145806 0.008890623 0.012013184 0.008543672 0.011275913 0.009064099 0.010018215 0.0087605165 6.554807 0.0 0.0 0.0 14.0 968374.0 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: 0.19865723 0.0052408855 0.003540039 0.0028889973 0.0047200522 0.002726237 0.002327474 0.0026123046 0.0032389322 0.003108724 0.0034098306 0.00394694 0.004239909 0.0030436197 0.003108724 0.0026774087 0.0039550783 0.003491211 0.002799479 0.0026367188 0.0037027996 0.0030110676 0.0025472005 0.0026774087 0.0029785156 0.002701823 0.002327474 0.0024983725 0.0025390624 0.0023925782 0.0024088542 0.0023111978 0.003059896 0.001944987 0.0025227864 0.0019124349 0.0024658204 0.0040201824 0.0021891275 0.001936849 0.0021972656 0.0018798828 0.0021402994 0.001944987 0.0021158855 0.0018310547 0.0023763021 0.0025227864 0.0026774087 0.0028401692 0.0026123046 0.0026285807 0.0028076172 0.0025553384 0.0025227864 0.0030517578 0.0024414062 0.0020507812 0.0027750651 0.0024495444 0.003149414 0.0025065104 0.0021891275 0.005916341 0.008951823 0.0055501303 0.0022705079 0.0028157553 0.01065267 0.0061116535 0.002709961 0.0056559243 0.002351888 0.005525716 0.0020751953 0.0018880208 0.0022054038 0.006217448 0.0059082033 0.0020589193 0.0065022786 0.002799479 0.002351888 0.0021077474 0.0022705079 0.0040771486 0.0021402994 0.001969401 0.005403646 0.001920573 0.0018391927 0.0020100912 0.0021402994 0.0037760416 0.0021972656 0.0021972656 0.0021728515 0.0022623697 0.0017985026 0.0019938152 0.003157552 0.0029215494 0.0018229167 0.0018229167 0.0025960286 0.0025309245 0.0030192058 0.0021728515 0.0025960286 0.002368164 0.0025472005 0.0026041667 0.0025878907 0.0018066406 0.002416992 0.0024332681 0.0032796224 0.0025716147 0.0020914713 0.032234702 0.0022542318 0.0018798828 0.0018880208 0.0016601563 0.0022623697 0.0026529948 0.0017659505 0.0017740886 0.0060058595 0.0020833334 0.0017578125 0.0038981119 0.0019612631 0.0020345051 0.0018961589 0.0017496744 0.0029215494 0.004313151 0.0025390624 0.009562175 0.0020589193 0.0026692708 0.0018229167 0.0016764323 0.0021484375 0.0017985026 0.0020345051 0.001944987 0.0018066406 0.001944987 0.0018880208 0.0018798828 0.0021321615 0.0020670572 0.0016845703 0.001546224 0.0019938152 0.002001953 0.0019124349 0.001570638 0.0023925782 0.0020996095 0.0019612631 0.0021158855 0.0021565754 0.0017008464 0.002286784 0.0022460937 0.0026204428 0.0022705079 0.0021891275 0.0022379558 0.0022949218 0.0021077474 0.0020507812 0.0016764323 0.0022054038 0.0028727213 0.0018066406 0.0019775392 0.0018717448 0.0020263672 0.0020345051 0.0017985026 0.0022216798 0.001936849 0.0016438802 0.002001953 0.0020996095 0.0018066406 0.0017903646 0.0017578125 0.0028320313 0.001969401 0.002286784 0.003125 0.0020589193 0.0028971354 0.0020670572 0.003572591 0.0022135417 0.0020670572 0.001985677 0.0020263672 0.098982744 0.0018961589 0.0016438802 0.0019612631 0.0020507812 0.0019938152 0.0020833334 0.0018066406 0.0020263672 0.0019124349 0.0017822266 0.001969401 0.0020100912 0.0017740886 0.0018310547 0.0017171224 0.0020426433 0.0015950521 0.0015055338 0.0018229167 0.0020833334 0.001920573 0.0017985026 0.0017985026 0.0021809896 0.0026204428 0.0016031901 0.001936849 0.0045084637 0.0032145183 0.0018880208 0.002368164 0.0041178386 0.0018961589 0.0017333984 0.0017985026 0.0026448567 0.0018066406 0.0015869141 0.0018066406 0.002742513 0.0018391927 0.0018147787 0.0022542318 0.0033121745 0.001546224 0.0018636067 0.0019938152 0.0048665362 0.0017578125 0.0028808594 0.019441731 0.05023142 2.4619223e-05 1.6412816e-05 0.0 4.103204e-05 1.23096115e-05 2.8722427e-05 8.206408e-06 0.0 8.206408e-06 0.0 4.103204e-06 0.042016808 8.206408e-06 1.6412816e-05 2.051602e-05 0.00016823136 0.0 0.0 0.0 0.0 0.0 0.0 0.015551142 0.0 0.0 0.0 7.7960874e-05 0.0010093881 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018300288 0.0 0.0 0.0 0.012605042 0.004201681 0.0 0.0 0.0 0.0 0.0 0.0 0.0065733325 0.0 0.0 0.0 0.014812565 0.00025439865 0.00019285058 0.00014361214 0.00058265496 0.00020516019 0.00026260506 0.0003159467 0.00034056592 0.00024619224 0.000102580096 0.00025029544 0.014324284 0.000102580096 0.00060317095 0.0008739824 0.015858883 0.0005416229 0.00018464417 0.00018874738 0.00025439865 0.00027081146 0.00020105699 0.0055680475 0.00091911765 0.0001107865 0.0003077403 0.00016412816 0.00018464417 0.00013540573 0.00018464417 0.00013540573 0.017171908 0.00045545562 0.00048417805 0.0034343817 0.00038980437 0.00035697874 0.00039390757 0.0067538735 0.00026260506 0.00019285058 0.0002092634 0.00022977941 0.0020064667 0.00015592175 0.0007549895 0.00036108194 0.0149110425 0.0034713105 0.0007221639 0.00034877233 0.00033646272 0.00041032038 0.0011119682 0.00058675813 0.00029132748 5.7444853e-05 5.7444853e-05 7.7960874e-05 8.206408e-05 4.103204e-05 0.00012309612 0.002580915 0.05131056 0.0056090797 0.0021788012 0.0032087055 0.010590369 0.0025645024 0.0020310858 0.0013130252 0.00316357 0.00061137736 0.0011858259 0.00050469406 0.0030691964 0.0004267332 0.0010463169 0.0036231289 0.008001247 0.0020762212 0.001288406 0.000984769 0.0005334165 0.00026670826 0.000906808 0.0005621389 0.00020105699 5.7444853e-05 4.9238446e-05 0.00013950893 5.334165e-05 4.9238446e-05 0.00016412816 0.0014730502 0.0054654675 0.0006400998 0.000623687 0.0022690718 0.0041729584 0.00169052 0.001489463 0.0008903952 0.001005285 0.00029543068 0.00072626706 0.00022977941 0.00454635 0.00017643777 0.00029543068 0.0006934414 0.009888721 0.0007549895 0.00082064077 0.0037503282 0.00211315 0.0018587513 0.00082474394 0.0019818475 0.0028024882 0.00050469406 0.000685235 0.000623687 0.010360589 0.00045545562 0.002072118 0.002519367 0.007611443 0.0011571035 0.0011612066 0.0005170037 0.004796645 0.002334723 0.000984769 0.0010422138 0.005937336 0.00040621718 0.00093553046 0.0002995339 0.014250427 0.00055803574 0.0034179688 0.0050100116 0.015107997 0.002757353 0.0027040113 0.0021254595 0.006942621 0.0044601825 0.0020762212 0.0044232537 0.0069836527 0.0014689469 0.0029132746 0.0020228794 0.008534664 0.0016946231 0.002798385 0.008616728 0.0044232537 0.000865776 0.0011406906 0.0019079897 0.00221573 0.0015961463 0.0021582851 0.0015058758 0.001128381 0.0008001247 0.0010422138 0.001066833 0.0013458509 0.00078781514 0.00061137736 0.0026137407 0.02745864 0.026613379 0.025759913 0.02657645 0.027905889 0.025817359 0.026067654 0.025505515 0.026248194 0.025727088 0.026453355 0.026400013 0.026326155 0.025562959 0.025673745 0.026071757 447.0 24.067114 10758.0 0.0065067858 0.0009295408 0.0052983826 0.002230898 0.0021379439 0.0013943112 0.0014872653 0.0017661275 0.0020449897 0.001115449 0.0018590816 0.0013943112 0.0021379439 0.0014872653 0.0050195204 0.004182934 0.004833612 0.006785648 0.005577245 0.0052983826 0.0065997397 0.0059490614 0.0038111173 0.007715189 0.0056701987 0.0038111173 0.006878602 0.0038111173 0.003532255 0.004833612 0.0021379439 0.0016731735 0.0026027143 0.042015243 0.0027886224 0.0036252092 0.08245027 0.0037181631 0.0038111173 0.041085705 0.0025097602 0.040899795 0.0020449897 0.002323852 0.0027886224 0.003439301 0.040435024 0.0016731735 0.042294107 0.0017661275 0.0039040714 0.0026027143 0.0026956683 0.0027886224 0.0028815765 0.002323852 0.041271612 0.0014872653 0.001208403 0.0017661275 0.0019520357 0.0015802194 0.0014872653 0.0050195204 0.0017661275 0.006878602 0.0026027143 0.0050195204 0.007808143 0.011712214 0.003439301 0.0030674846 0.004833612 0.0063208775 0.0016731735 0.0018590816 0.0051124743 0.0056701987 0.005856107 0.006878602 0.006785648 0.0013943112 0.006878602 0.0052054287 0.010317903 0.0030674846 0.001208403 0.3469976 0.005856107 0.002230898 0.0021379439 0.001115449 0.0065997397 0.0013943112 0.0018590816 0.0013013572 4.496987 0.0 4.0 0.0 1.0 122880.0 122880.0 0.0 0.0 44.0 1.0 1.0 0.0 0.0 0.0 1413196800.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24576.0 4096.0 4096.0 6.0 0.0 0.0 0.0 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 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 -4096.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6107426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.1598608 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5922704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.019709 -4.1475277 7.521244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2051.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24130.0 -4075.0 70404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 1.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 -1.0 -1.0 -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 1.0 -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 -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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 144.0 0.0 37004.0 40960.0 70404.0 45056.0 0.0 0.0 0.0 0.0 1624.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1436.0 42536.0 64.0 4160.0 0.0 0.0


Input: 0.22136657 0.008062145 0.008952804 0.0061589913 0.009591389 0.00333577 0.0026887818 0.0023358793 0.008671322 0.0017309034 0.0022098427 0.0014998361 0.0060581616 0.002067001 0.0011091225 0.0059069176 0.007129473 0.0010124944 0.0007184089 0.00053355517 0.00443649 0.002655172 0.0010335005 0.0004915429 0.0039113373 0.0009074639 0.0004621344 0.00074781745 0.0020627999 0.0006763967 0.00088225654 0.0012561653 0.015044575 0.0007562199 0.0034029896 0.00089486025 0.01630074 0.0008276407 0.00055036007 0.0011595372 0.0021930377 0.00092006754 0.0004453295 0.0021972388 0.0013191836 0.00078142725 0.0015796594 0.00047473804 0.006591717 0.0019115559 0.002655172 0.0056380397 0.0016132691 0.0014704276 0.0010292993 0.000777226 0.0022140439 0.0027139892 0.0018527388 0.004886021 0.0013527934 0.0010166956 0.0005671649 0.004104594 0.013851428 0.0047473805 0.011229865 0.0048146 0.007860485 0.007856284 0.0031929286 0.0016048667 0.0023820926 0.0037979044 0.0007940309 0.0008654517 0.004033173 0.0042978497 0.00257955 0.001289775 0.008234395 0.0039491486 0.004155008 0.006171595 0.003108904 0.0039953617 0.00667154 0.0039155385 0.00185694 0.0035542336 0.001289775 0.0017351046 0.0024367087 0.0032349408 0.0030374832 0.0046549537 0.0011091225 0.00925109 0.0017393058 0.00553721 0.006721955 0.013427105 0.0034534042 0.0030206784 0.005642241 0.008658718 0.0044490937 0.00081923825 0.006440473 0.0021972388 0.00780587 0.00870073 0.003978557 0.00055456127 0.013330476 0.010057725 0.020338114 0.011704604 0.0024745197 0.0027349954 0.0022266475 0.001630074 0.00074781745 0.00035710385 0.0018275315 0.0023022695 0.0012813726 0.0011679396 0.0043650693 0.002104812 0.00055876246 0.013212842 0.0036466604 0.007125272 0.0006049759 0.0004621344 0.0039743558 0.009272097 0.0021384219 0.026656752 0.0017225009 0.00973003 0.0005041466 0.001289775 0.0010881164 0.0002520733 0.00047893927 0.00059657346 0.0010419029 0.00064698816 0.0003318965 0.00020585986 0.00078562845 0.00035710385 0.0003108904 0.00024787209 0.00074781745 0.00045793317 0.00021006109 0.0002310672 0.00060917716 0.0014704276 0.00029408553 0.00074361626 0.00078142725 0.0006007747 0.00032349408 0.0003865124 0.0008486468 0.00021006109 0.00025627454 0.0003487014 0.0006932016 0.00026467696 0.00030668918 0.00023946963 0.000777226 0.00022686597 0.00033609773 0.00028148186 0.0006553906 0.00066799426 0.0008276407 0.0008654517 0.0016384765 0.00051675027 0.00037810995 0.00031509163 0.00068900036 0.0007142077 0.0007562199 0.0005251527 0.006595918 0.0029114466 0.0027602026 0.0041424045 0.004890222 0.000852848 0.0034954164 0.0042978497 0.0026215625 0.0018275315 0.00084024435 0.0006805979 0.013704386 0.00053355517 0.0011385311 0.0006427869 0.0014746288 0.0009914883 0.0009620798 0.00088225654 0.00076882355 0.000625982 0.0008486468 0.00067219546 0.0015880618 0.00044953072 0.00041592095 0.0010587078 0.0008486468 0.00039071363 0.0004243234 0.00037390873 0.0024535134 0.0012015494 0.00055456127 0.00034029895 0.0021090133 0.0008738541 0.00055036007 0.00049574417 0.013620361 0.0032307394 0.00041171972 0.0047053685 0.003012276 0.0004831405 0.00042012217 0.00044953072 0.002844227 0.0011217262 0.00034029895 0.0009620798 0.0015754581 0.00031929286 0.00202919 0.0017771168 0.003961752 0.0022812635 0.0011343298 0.0018821473 0.0034071908 0.0031173066 0.0034365994 0.043486845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037181242 6.341315e-05 2.3251489e-05 1.268263e-05 0.00012471253 9.089218e-05 4.016166e-05 2.9592804e-05 3.1706575e-05 8.455087e-06 3.5934117e-05 1.6910173e-05 1.9023944e-05 2.3251489e-05 3.1706575e-05 5.9185608e-05 0.010494877 0.00025788014 0.00019023944 6.341315e-05 0.00040161662 0.0002092634 0.00028113162 0.00016487419 0.00013528139 6.1299375e-05 9.9347264e-05 6.552692e-05 6.341315e-05 0.000107802356 0.00020503585 0.00018601191 0.0033376454 8.2437095e-05 4.016166e-05 3.1706575e-05 6.764069e-05 4.6502977e-05 4.016166e-05 3.5934117e-05 5.073052e-05 2.536526e-05 3.804789e-05 6.341315e-05 4.4389206e-05 6.1299375e-05 0.00030226936 6.1299375e-05 0.029990193 0.00045657466 0.0035765017 0.00039104777 0.0019214185 0.00049885013 0.006144734 0.004100717 0.00068908953 0.00030226936 0.00012471253 0.0001268263 0.00016698796 0.00020080831 0.00045234713 0.002804975 0.040282145 0.0004777124 0.0054366207 0.0034306513 0.003747717 0.0022427116 0.008590368 0.006303267 0.002815544 0.00030015557 0.00027056277 0.00012471253 0.0002451975 0.00016487419 0.00020292208 0.003286915 0.039383795 0.0006637243 0.007620147 0.0056332015 0.018675173 0.008235254 0.033101663 0.020205542 0.0013760653 0.00047982615 0.00036145496 0.00028535916 0.00049462257 0.00034454477 0.00036779625 0.0012999696 0.0189098 0.0003276346 0.0030670827 0.0021814124 0.0054831235 0.0027859511 0.012084433 0.006924716 0.0010040415 0.00032340706 0.00040795794 0.00043543696 0.0007947781 0.00035511365 0.0005157603 0.00067640695 0.015405168 0.00052421534 0.0023293763 0.0023484002 0.0028747295 0.002010197 0.007506003 0.0042507946 0.0010991612 0.0005009639 0.0007694129 0.0006869758 0.0011097301 0.00054112554 0.0005284429 0.000805347 0.010310978 0.0005516944 0.0018474364 0.0017988196 0.002490023 0.0017544305 0.0046946867 0.003434879 0.0037815375 0.0006045387 0.0007461614 0.0010547721 0.0018389813 0.0008476224 0.0014331372 0.006100345 0.06997007 0.014496246 0.015724348 0.0125283245 0.021260316 0.024466908 0.009372463 0.014978186 0.04389881 0.003035376 0.002990987 0.0038639745 0.029083384 0.004848992 0.015107126 0.030391809 0.047914974 0.011164942 0.009110356 0.011805414 0.018254532 0.019748969 0.007081135 0.016445143 0.033027682 0.0023462866 0.002564005 0.003489837 0.018381359 0.005358411 0.015935725 0.02845348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1320.0 23.503788 31025.0 0.023690572 0.00048348107 0.015052377 0.0003223207 0.021885576 0.0018372281 0.0003545528 0.0030298147 0.0017082997 0.00074133766 0.00029008865 0.0005157131 0.0014182111 0.0019016921 0.0025141016 0.0003545528 0.011120064 0.0042546336 0.009895246 0.0019016921 0.0012570508 0.0011603546 0.0014504432 0.0007091056 0.0021273168 0.0020950846 0.004448026 0.004609186 0.00096696214 0.00038678484 0.00045124898 0.025173247 0.079194196 0.019049155 0.0087993555 0.012344883 0.02394843 0.012538276 0.0029975825 0.0033521354 0.005382756 0.014182111 0.00048348107 0.0033843673 0.0042868652 0.0029653506 0.0074456083 0.0017727639 0.011248993 0.008702659 0.007284448 0.0238195 0.0048348107 0.0075100726 0.018597905 0.006414182 0.0026107978 0.0020950846 0.0067687347 0.0014504432 0.0036744562 0.0012892828 0.0015793715 0.019016922 0.0015793715 0.044609185 0.0070588235 0.030684931 0.020983078 0.04248187 0.005898469 0.014601128 0.010668815 0.03951652 0.0012248186 0.0017405319 0.0255278 0.004995971 0.029814666 0.03390814 0.010088638 0.0003223207 0.053440772 0.04357776 0.067945205 0.009895246 0.0035132957 0.006317486 0.0034165995 0.005962933 0.00093473005 0.00016116035 0.00029008865 0.0003545528 0.0006768735 0.0006768735 5.5268 2.0 0.0 12.0 3.0 238026.0 352256.0 0.0 206.0 164.0 0.0 1.0 0.0 0.0 0.0 1269620700.0 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 138240.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -138240.0 0.0 145920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7026696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.363204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.641455 0.0 4.1640077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 42476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -137740.0 0.0 147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -2.0 1.0 -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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 1.0 -2.0 0.0 -2.0 2.0 0.0 0.0 0.0 -1.0 -2.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 -2.0 -1.0 1.0 1.0 0.0 -3.0 -1.0 1.0 0.0 2.0 2.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -3.0 0.0 0.0 1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -2.0 0.0 -2.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -2.0 1.0 -1.0 1.0 -1.0 -2.0 -1.0 0.0 -1.0 1.0 1.0 2.0 -2.0 2.0 0.0 1.0 0.0 17612.0 168224.0 140.0 164404.0 67996.0 204800.0 0.0 0.0 6856.0 255488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 158520.0 0.0 0.0 680.0 143360.0 0.0 0.0 0.0 0.0


Input: 0.10625894 0.07763053 0.23591816 0.0056447247 0.0048889397 0.0015906474 0.0010940336 0.0026522977 0.0017823357 0.000835385 0.00077281205 0.0063116117 0.002986786 0.007058517 0.008526213 0.004219441 0.0025850239 0.006364574 0.0010547558 0.0019267026 0.0011292374 0.0016448633 0.0030371367 0.0029414494 0.0010560093 0.0014426243 0.0019035119 0.0011668438 0.0015553391 0.0011593226 0.001393736 0.0016763065 0.0035069038 0.0010598744 0.01139903 0.0011946307 0.0011233875 0.0010027336 0.0011714401 0.0015131363 0.0011066735 0.0014289398 0.0018434462 0.0017784706 0.0011979736 0.00091414957 0.0009465329 0.0013669936 0.001149921 0.0008312065 0.0007426225 0.0015603533 0.0010017934 0.00083068415 0.0011736338 0.0011001969 0.0015980642 0.0011144037 0.00092073064 0.0009904071 0.0006114178 0.0009140451 0.000905897 0.0015979598 0.0018060486 0.0006682453 0.0006289675 0.0010411757 0.0009930186 0.00064536807 0.000832669 0.0007534865 0.0007641417 0.0009864374 0.00071828277 0.0008070757 0.00070355355 0.0006445324 0.0006161186 0.0008694397 0.0011445933 0.00089868915 0.000522207 0.0013633374 0.00069540547 0.0012361023 0.0005923012 0.00081804424 0.00053328 0.0009100755 0.001190139 0.0015249406 0.0010101504 0.0006081795 0.00069060025 0.0016390134 0.0023112283 0.0010586209 0.0009735886 0.0013224926 0.0009127915 0.0011988092 0.0016836188 0.002040462 0.0010491149 0.000731445 0.00072810217 0.001152428 0.0008962865 0.0009638736 0.0009550988 0.0011808418 0.0011836622 0.00076811126 0.0011645457 0.0009862286 0.000791093 0.0010940336 0.0013238507 0.00088772055 0.001493602 0.00097651355 0.0012492646 0.00088249746 0.0007802289 0.00087111106 0.0006782737 0.0013258355 0.0027634455 0.0011205671 0.0012216865 0.0008119854 0.0008079114 0.0011640233 0.00092961 0.00089973374 0.0015642184 0.00081334345 0.0010059719 0.0014626811 0.0010562183 0.0009588594 0.0008735137 0.0010549647 0.0014662328 0.0014812753 0.0010455631 0.0014168221 0.0007143132 0.00071828277 0.00084677135 0.0011440711 0.0011931683 0.0011672617 0.0010951827 0.0008809305 0.0012083154 0.0008704843 0.0009263716 0.0012310882 0.0018787544 0.00094851764 0.0010540246 0.0014193292 0.0009536363 0.0009948988 0.0010526666 0.00083371357 0.0010978987 0.00094047404 0.0010074343 0.000984766 0.0010857811 0.0010496371 0.001098421 0.0013906021 0.0013902887 0.000984975 0.0026204367 0.0008477115 0.0012002718 0.0010289536 0.0008646344 0.0008192978 0.0010917354 0.0009343108 0.0018779187 0.0009744243 0.0008646344 0.0010365794 0.0010029424 0.00251681 0.0021221514 0.0010894373 0.0008929437 0.0010877659 0.0009347286 0.001532044 0.0009085086 0.00088301976 0.0008599336 0.0019465504 0.0031552836 0.0008565908 0.004144228 0.0010717831 0.00091164245 0.0011816774 0.002052684 0.0012696347 0.0010304161 0.00173 0.0014145239 0.0008971222 0.00076445506 0.0011320579 0.0012554278 0.0015035258 0.0010662467 0.0014987205 0.0015150167 0.0010728277 0.0015507428 0.0014901547 0.0024353294 0.0013761863 0.0016290895 0.001296586 0.0012955414 0.0021093027 0.036899425 0.0012224178 0.0007749013 0.0010025246 0.0007308182 0.000921253 0.0008405036 0.0006616642 0.0009942722 0.0011790659 0.0022465661 0.000645577 0.0007519196 0.0019062279 0.0006810942 0.0007732299 0.00082128256 0.00078419846 0.0007988232 0.00068255665 0.0010777375 0.0011341472 0.0011179554 0.0008940928 0.0011720669 0.19628298 0.094443895 0.00090186024 0.00037194422 3.2074964e-05 2.4030103e-05 7.26127e-06 2.0373349e-05 2.4500257e-05 1.7552424e-05 1.5933003e-05 1.6559876e-05 2.2933076e-05 2.2253966e-05 1.6716593e-05 2.6328635e-05 0.028567718 0.022769673 0.00034901113 0.0012140948 0.00011644152 5.9396145e-05 2.4082343e-05 6.827684e-05 3.2754077e-05 4.361986e-05 8.055309e-05 7.8724705e-05 6.4306645e-05 5.809016e-05 0.00011727735 0.00014501646 0.003985915 0.041070372 0.0014330823 0.0024608916 0.000748381 0.00019051693 7.621722e-05 0.00013425514 0.0002727939 0.00010625485 0.00012845658 0.00013707607 0.00014741946 0.0001486732 0.000320175 0.00041619095 0.0081630265 0.0628208 0.0041972753 0.003646098 0.0015138965 0.00047057212 0.00019156172 0.00071782095 0.0005149233 0.0005111098 0.0002618759 0.00026422666 0.0002738387 0.0003647874 0.00095796527 0.0013102152 0.0129213 0.05421531 0.0038846752 0.005067374 0.001962058 0.0007012611 0.00043541502 0.00143303 0.0013135585 0.001074877 0.00083932973 0.0004860872 0.0005753643 0.0007479108 0.0018125488 0.0024990784 0.02298422 0.034061573 0.0037562186 0.004117297 0.0014752394 0.00079853076 0.0010319363 0.0020046853 0.0010628097 0.0010356453 0.0010607723 0.0007225225 0.0011073176 0.0010338691 0.0017098463 0.0040695504 0.025043339 0.026215797 0.0042686868 0.0041706334 0.0016397411 0.001225274 0.0019546922 0.0022353742 0.0014869933 0.001722436 0.0017148613 0.0010325109 0.0010855338 0.0011616987 0.0013862235 0.0073656444 0.023499299 0.032484885 0.0033084229 0.0032148622 0.0016449128 0.0015796658 0.0017595782 0.002154351 0.0018103549 0.0024231225 0.0020528499 0.0014543958 0.0017695558 0.0017480333 0.0018660942 0.0089092655 0.017836554 0.03015966 0.003286639 0.0021585824 0.0017799515 0.0018888183 0.0022864642 0.002648013 0.0022899644 0.0020116854 0.0019992 0.0018441537 0.0020174838 0.002246449 0.0019541697 0.006170878 0.014106715 0.03040952 0.0018984827 0.0018597733 0.0018834377 0.0020114763 0.0022934645 0.0021222238 0.0021655825 0.0027721336 0.002629886 0.0036170008 0.0037052853 0.004674325 0.0033880356 0.0068907887 0.017333018 0.021707542 0.002163754 0.0019907374 0.0020913503 0.0020387452 0.0023670173 0.0024632423 0.002251046 0.0024947426 0.00271023 0.0039297575 0.004229716 0.0048232074 0.0030136362 0.007737171 0.019791037 0.01152724 0.0015942407 0.0013135064 0.0012104381 0.0013858057 0.001498956 0.0014498511 0.0016283006 0.0023417857 0.0021266642 0.0024338316 0.0024901978 0.0030076287 0.0027485737 0.005508222 0.010799912 0.004917395 0.00080088153 0.00071197015 0.0006824549 0.0008521806 0.0010501677 0.0011898557 0.0012178038 0.0015203219 0.0013245288 0.001318678 0.001676831 0.0026588787 0.001597375 0.0033285872 0.0056431564 0.0012413638 0.00014595676 0.00020430812 0.00017212867 0.00020796487 0.0003530858 0.00040809385 0.00031688393 0.00039043694 0.00044001208 0.00042893735 0.00086858374 0.00086262845 0.0003346453 0.0009766669 0.001100213 0.00010902353 3.1448093e-05 3.567948e-05 6.002302e-05 2.8574927e-05 3.0246587e-05 7.135896e-05 4.4142256e-05 2.6589832e-05 1.3112078e-05 1.6141961e-05 1.29031205e-05 1.3216557e-05 1.3373275e-05 1.29031205e-05 1.61942e-05 3.4477973e-05 1.2432966e-05 1.4209105e-05 2.1992768e-05 1.1283701e-05 1.2850881e-05 2.7164464e-05 1.9171843e-05 1.0343392e-05 6.4254405e-06 7.6269457e-06 6.8955947e-06 6.8955947e-06 6.47768e-06 7.3135097e-06 8.410536e-06 48197.0 15.068158 726240.0 0.018755509 0.008243831 0.14170797 0.008486175 0.009596001 0.007295109 0.008062073 0.010386374 0.0072276383 0.009023188 0.014433245 0.018039491 0.010519939 0.005388026 0.006004902 0.007782551 0.0066093854 0.006862745 0.0052186605 0.009260024 0.009445913 0.008548139 0.010895847 0.010548854 0.013315158 0.008426966 0.0073804804 0.008184622 0.00544035 0.0078073363 0.00828514 0.009645572 0.009346772 0.0049983477 0.0047683963 0.008784975 0.008505452 0.006130205 0.008264486 0.007229015 0.0053659948 0.010094459 0.007230392 0.00783763 0.0063257325 0.004656863 0.00612332 0.0072179995 0.008029026 0.008033157 0.0043897335 0.013985734 0.006674102 0.013218771 0.005076834 0.007040372 0.0048510134 0.0063257325 0.013451476 0.017915566 0.008614232 0.005354979 0.006657579 0.013736506 0.012849746 0.011377782 0.008637641 0.013180216 0.0089419475 0.011069343 0.011139568 0.024197236 0.010740251 0.006459297 0.007146398 0.011903779 0.008790483 0.009269663 0.008718881 0.010119244 0.007044503 0.0055918153 0.009984302 0.007699934 0.006899923 0.010664519 0.013755783 0.008402181 0.015544448 0.008337464 0.012922726 0.008472405 0.007142267 0.0076792794 0.004837244 0.007417658 6.148972 2.0 10.0 0.0 30.0 9572832.0 9568256.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1528354600.0 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 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 8.0 0.0 6.0 0.0 6.0 0.0 0.0 512.0 4096.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9563648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9456787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9563584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9563584.0 4096.0 0.0 0.0 8672.0 9564160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0