Input: 0.0059009097 0.0039489325 0.003880278 0.0038776565 0.003821291 0.0037651716 0.0036920113 0.004073051 0.0038494738 0.0036997944 0.0037372347 0.0038407077 0.0037617306 0.003726994 0.0037839327 0.0043973974 0.0038020385 0.0035896034 0.0035896853 0.0037729545 0.0036920933 0.0037215047 0.0037628775 0.0039500794 0.0037332203 0.0036186052 0.0036604695 0.0037158518 0.0038066262 0.003846852 0.0039711343 0.0045341323 0.0038450498 0.003701269 0.0036274532 0.003684556 0.003605415 0.0036692359 0.0036349087 0.0038627458 0.0037024159 0.0036828355 0.0037272396 0.0037362515 0.0037169987 0.0037587814 0.003883801 0.0041367076 0.0037562416 0.0036804597 0.0036650575 0.003759191 0.003659077 0.0037604198 0.003695698 0.0038907647 0.0037810653 0.0037721354 0.0038322692 0.003911738 0.0039250096 0.0040333983 0.004211752 0.004669229 0.0038242405 0.0038489823 0.0036549806 0.0037853254 0.0036782476 0.0037200302 0.0036342533 0.003927795 0.0036269617 0.0036106585 0.0036275352 0.003812443 0.0036831633 0.0037096255 0.0037966312 0.0040766555 0.0037865543 0.0036943052 0.003690045 0.0037741833 0.003722324 0.00374682 0.003771398 0.00399178 0.0037710702 0.0037673835 0.0037509163 0.0038372667 0.0038512761 0.003919275 0.0040291385 0.004357663 0.0037418224 0.003772545 0.0036887343 0.003759191 0.003678002 0.003828091 0.0037183096 0.0038901092 0.0037083146 0.0037481308 0.0037873737 0.0038133443 0.0037451815 0.0037984336 0.003895926 0.004097383 0.0038466882 0.0037647618 0.0038750349 0.00392714 0.003974084 0.003998498 0.0038813432 0.0040787854 0.003921487 0.003963024 0.003977115 0.0040632198 0.004153994 0.004220682 0.0043112105 0.0049254945 0.0039156703 0.0038088383 0.0037172446 0.0039957943 0.0036572744 0.0038744614 0.0037006955 0.0040600244 0.0036485083 0.0037717256 0.003657848 0.004053143 0.0036354002 0.0037919614 0.0037984336 0.0041814395 0.003649983 0.003636793 0.003603367 0.003775986 0.003618769 0.003749032 0.0037230614 0.004061745 0.0036461325 0.0037397745 0.0037291239 0.0038244042 0.0037628775 0.003883473 0.0039329566 0.0043516005 0.0037416588 0.0037642703 0.003676855 0.0038459508 0.003669154 0.0037760676 0.0036791489 0.0039869463 0.0037160157 0.0037784437 0.003760174 0.003926157 0.003745673 0.0038663505 0.0038598785 0.00416743 0.0037608293 0.0038031854 0.0037226519 0.0039097713 0.0037494416 0.003848081 0.0038270259 0.004044213 0.0038006457 0.0039207498 0.0038974825 0.0040132445 0.0039497516 0.0040851757 0.0041445727 0.004554204 0.003948031 0.0039154245 0.0037986794 0.003972691 0.0036950426 0.0038451317 0.0037651716 0.004044704 0.0037798365 0.003775904 0.003752473 0.0039964495 0.0037593548 0.0038584857 0.003883801 0.004205853 0.0038411992 0.0038396425 0.003798024 0.0039696596 0.0038003998 0.0039158342 0.003878148 0.0040676435 0.0038339077 0.0038353004 0.0038000722 0.0039866185 0.0039078053 0.0040021846 0.0040301215 0.0043528294 0.004037413 0.003982604 0.0038785576 0.0040011196 0.003865777 0.004000874 0.0039053475 0.004167512 0.0041219606 0.004027909 0.0039969413 0.004151782 0.003964826 0.0040668244 0.0040533063 0.0043437355 0.0041668564 0.0041042645 0.0040858313 0.0041988897 0.004171772 0.0042443587 0.004170543 0.0043536485 0.0044530253 0.0043451283 0.004359793 0.0044253343 0.0046218755 0.004656858 0.004931967 0.0058023524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.111807e-05 1.3518987e-06 1.556732e-06 7.78366e-07 2.1712312e-06 1.3518987e-06 1.3518987e-06 9.012658e-07 1.5157652e-06 1.2289989e-07 1.6386652e-07 2.4579978e-07 4.0966628e-07 2.0483314e-07 2.867664e-07 3.6869966e-07 6.88649e-05 1.761565e-06 7.373993e-07 7.78366e-07 2.6628309e-06 1.1880322e-06 4.9159956e-07 7.78366e-07 2.1302646e-06 2.4579978e-07 4.0966628e-07 2.867664e-07 5.3256616e-07 3.2773303e-07 2.0483314e-07 2.4989645e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00010471071 2.3350979e-06 7.4559266e-06 2.4579977e-06 3.8508633e-06 3.1544305e-06 2.224488e-05 1.093809e-05 1.4747986e-06 8.602992e-07 9.422325e-07 7.78366e-07 1.1880322e-06 1.0651323e-06 6.5546607e-07 3.6869967e-06 0.00013859011 2.2941313e-06 1.3887688e-05 6.4727274e-06 4.6701957e-06 7.0052934e-06 4.3711392e-05 2.0032681e-05 3.973763e-06 1.1880322e-06 5.735328e-07 2.867664e-07 9.831991e-07 8.193326e-08 8.193326e-08 7.865593e-06 0.00025931877 2.1097814e-05 2.8963406e-05 3.514937e-05 5.198665e-05 2.6792175e-05 0.00013400185 7.9802994e-05 4.834062e-06 1.6796317e-06 1.9663983e-06 3.3182969e-06 2.7037975e-06 2.2531647e-06 6.964327e-06 1.0364557e-05 0.00017533718 1.4666053e-05 4.555489e-05 5.8172613e-05 2.5194477e-05 1.2617722e-05 5.358435e-05 2.9577906e-05 6.144994e-06 1.556732e-06 1.2699655e-06 3.6460299e-06 3.072497e-06 1.8434984e-06 4.1990796e-05 2.9168239e-05 0.0001379756 1.1429689e-05 1.7697585e-05 1.6632452e-05 1.9213348e-05 1.1757423e-05 3.826283e-05 3.039724e-05 1.32731875e-05 2.5808977e-06 2.5808977e-06 2.5808977e-06 6.882394e-06 5.284695e-06 3.8508633e-06 1.519862e-05 5.6533947e-05 1.08971235e-05 7.783659e-06 1.409252e-05 1.0159724e-05 7.988493e-06 8.521059e-06 1.0610357e-05 1.07742235e-05 8.602992e-07 1.0651323e-06 9.422325e-07 2.5808977e-06 1.3109321e-06 3.7279633e-06 1.9950749e-05 0.0008179807 0.00011888516 8.9389185e-05 0.000101556274 0.00022019564 0.00023310012 8.7955355e-05 0.00018820069 0.0005333855 4.1785963e-05 2.7160875e-05 7.40267e-05 0.00019405893 5.907388e-05 0.00019561565 0.00037361565 0.0004679618 9.9630844e-05 9.344488e-05 0.0001049565 0.00017906513 0.00016775835 9.209298e-05 0.00014072037 0.00026280092 4.0188264e-05 3.342877e-05 5.104442e-05 0.0001341657 5.3789183e-05 0.00013310058 0.00029504165 0.06142483 0.060485344 0.059671417 0.061664976 0.05950067 0.0609905 0.06018649 0.06437062 0.060430694 0.06060095 0.06089378 0.06289676 0.061653383 0.062738016 0.0641825 0.0703386 55096.0 5.6953135 313789.0 0.010561237 0.010006724 0.0102712335 0.009659357 0.009920679 0.009923866 0.009863316 0.010140572 0.009971669 0.010143759 0.0102839805 0.010022659 0.010255299 0.0103094755 0.010593105 0.010624974 0.010064088 0.0103062885 0.010229805 0.010099143 0.010178815 0.010073648 0.010124638 0.010366838 0.010443323 0.010379586 0.010634535 0.010605853 0.010844867 0.011233663 0.010962781 0.011466304 0.009713533 0.010232991 0.009923866 0.009853755 0.009834634 0.009637049 0.009927053 0.009891997 0.00953507 0.010150133 0.009751776 0.009834634 0.010009911 0.009965295 0.009965295 0.010150133 0.010019472 0.009739028 0.009981229 0.010542116 0.010392333 0.01004178 0.009968482 0.010389146 0.010060901 0.00971672 0.010115078 0.010236178 0.010494313 0.010879923 0.010930913 0.011316522 0.00977727 0.011310148 0.010073648 0.010194749 0.010886297 0.012227962 0.010354091 0.010691898 0.01026486 0.011189047 0.009898371 0.009923866 0.010768383 0.010733327 0.0110105835 0.011542789 0.010876736 0.0102712335 0.011326082 0.011428062 0.01162246 0.010679151 0.010532555 0.010902231 0.010793878 0.010701459 0.010749262 0.010809812 0.010851241 0.010902231 0.011071133 0.011867847 6.583027 1.0 1.0 0.0 176.0 12206084.0 221184.0 1.0 0.0 163.0 0.0 1.0 0.0 0.0 0.0 1268634500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 4.0 0.0 67584.0 1024.0 4096.0 5.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -67584.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5 0.0 0.0 0.0 0.0 0.0 5.5430627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5457988 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5826373 0.0 4.6631937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 0.0 0.0 0.0 6245.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -67438.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 -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 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 79840.0 200.0 76040.0 15968.0 135168.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 74416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 688.0 73728.0 0.0 0.0 0.0 0.0


Input: 0.22646852 0.02294766 0.012848201 0.0054108403 0.024017617 0.015386441 0.009795917 0.003734381 0.006585466 0.0035477201 0.0036029625 0.0030941516 0.0032342926 0.004179227 0.004656637 0.00741759 0.008040956 0.0019206883 0.001273481 0.0010164587 0.0027278077 0.015327709 0.0022503978 0.0016421507 0.0023876312 0.0012490579 0.0007175687 0.0008885291 0.0012752254 0.0006820973 0.00095016795 0.0007129167 0.011205469 0.0007065202 0.0013054633 0.00072629115 0.042136516 0.0030365833 0.0008472428 0.000612899 0.0037745044 0.0008361943 0.00076408853 0.0009001591 0.0012885998 0.0009542384 0.001378732 0.0006791898 0.005124743 0.0008239828 0.0031371824 0.0036256409 0.0011135689 0.0006448814 0.00074838806 0.00054428226 0.002934821 0.0008518947 0.0007826965 0.000614062 0.0010048287 0.0020771113 0.0004977624 0.0006146435 0.009773821 0.003090081 0.0014269964 0.0019980276 0.011388641 0.0030790325 0.0017834548 0.0005995246 0.056246568 0.0017154195 0.00044600907 0.0005588197 0.012115513 0.001957904 0.0012513839 0.0013560536 0.006969255 0.0007088462 0.002017217 0.0022114373 0.0043699583 0.0030057637 0.0007780445 0.0014264149 0.0022242304 0.0005919651 0.0005594012 0.000938538 0.00341572 0.0029098166 0.00046403552 0.0022754022 0.0031871912 0.0032784864 0.0010123883 0.0031848652 0.002515561 0.0061452724 0.0013874546 0.00106356 0.0023969354 0.002816777 0.0006001061 0.00091353356 0.0024568297 0.0016334283 0.0033773412 0.003692513 0.0038256762 0.00043147162 0.0037867157 0.0036773942 0.0065819775 0.0030214642 0.0012484764 0.0011100799 0.0022823801 0.0009048111 0.0005303263 0.00047857297 0.0021730585 0.00066407083 0.0005855686 0.00046578 0.0043670507 0.0028609708 0.00057568314 0.010730385 0.012666774 0.003924531 0.00045763902 0.00038785924 0.0020433844 0.010969962 0.00063150696 0.025040472 0.008542207 0.019384822 0.000463454 0.0004006522 0.0052549983 0.00045415002 0.0005477712 0.0007722295 0.0029016756 0.0005216038 0.00044193858 0.00035471385 0.0015688819 0.00053730427 0.00039658172 0.0004000707 0.0008693397 0.00045822051 0.00048322495 0.00041402667 0.0021992258 0.0004291456 0.0005594012 0.00046112802 0.00073094317 0.0004303086 0.00037855527 0.00047217647 0.0014961946 0.00039600022 0.0009844763 0.00038088128 0.00073385064 0.0005570752 0.0004651985 0.0006570929 0.00212712 0.0007059387 0.00074896956 0.00051055534 0.0009978508 0.0006559299 0.0015462035 0.0007419916 0.00250742 0.0022248118 0.0017334459 0.0005064849 0.0016031903 0.0005791721 0.0007518771 0.00046868747 0.006705255 0.0026260456 0.0008385203 0.0039065043 0.0041297995 0.00038727775 0.0014857277 0.00407165 0.0024353142 0.0009972693 0.0004378681 0.00045996503 0.02757755 0.00038844073 0.00051753334 0.00042333064 0.002758627 0.0005588197 0.0013566351 0.00037041432 0.00082630885 0.00038437027 0.00041228218 0.00037681079 0.0014967761 0.00040937468 0.0004047227 0.00041984164 0.00071873167 0.00069896074 0.0013793135 0.00066174485 0.0024033317 0.0006425554 0.00055300473 0.00037390328 0.0007012867 0.0005041589 0.00038262576 0.00038553326 0.00948249 0.0017950847 0.0023975167 0.0022160893 0.004217606 0.00035703985 0.00044368306 0.0004913659 0.0018764945 0.00043205312 0.0005774276 0.0012438245 0.0008879476 0.000770485 0.00060766557 0.00073152466 0.0019991905 0.00075594755 0.0007140797 0.0006274365 0.0020544329 0.00079258194 0.0011606703 0.02586678 0.008825436 4.4230484e-05 2.0951282e-05 3.055395e-05 8.7297e-06 9.3116805e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017089844 9.602671e-06 4.36485e-06 5.2378205e-06 2.3279201e-06 2.03693e-06 5.2378205e-06 0.0 2.6189102e-06 2.3279201e-06 5.8198003e-07 1.7459402e-06 1.1639601e-06 9.602671e-06 1.2512571e-05 1.949633e-05 0.0010967414 5.8198003e-07 1.7459402e-06 1.1639601e-06 2.9099e-06 5.2378205e-06 8.7297e-06 3.7828702e-06 5.8198e-06 4.07386e-06 3.2008902e-06 5.2378205e-06 7.2747503e-06 4.9468304e-06 6.6927705e-06 3.375484e-05 0.0015661083 4.1902564e-05 1.6004451e-05 7.5657404e-06 7.5657404e-06 5.2378205e-06 1.3676531e-05 4.36485e-06 3.4627814e-05 9.602671e-06 1.0475641e-05 5.5288106e-06 5.8198e-06 1.3094551e-05 1.4840491e-05 3.1426924e-05 0.00795945 0.00020631192 8.060424e-05 9.428077e-05 9.573572e-05 7.5075426e-05 0.000105920364 0.00012803561 9.166186e-05 5.5870085e-05 5.9361962e-05 6.925563e-05 4.7722362e-05 4.2484542e-05 4.7431375e-05 0.0003759591 0.0069468045 0.0003579177 0.00012425274 7.944027e-05 0.00017692194 0.000121051846 0.00022580825 0.00017110213 8.671502e-05 4.7431375e-05 5.9070975e-05 5.9943945e-05 3.9283652e-05 6.7218694e-05 6.2271865e-05 0.00031397823 0.01323248 0.0007347498 0.0002470505 0.00031892507 0.00024384963 0.00028138736 0.00024210369 0.00019670925 0.0005630657 0.00023511994 0.00018506966 0.00016557332 0.00018797955 0.00021387766 0.00015247877 0.00067800673 0.03323921 0.0025138627 0.0012355436 0.001343792 0.001719169 0.001134861 0.0015661083 0.0010053705 0.00047780562 0.00037275822 0.000378578 0.00047169483 0.00040738602 0.0011802556 0.0006733509 0.0017439032 0.04815332 0.0034936261 0.001865537 0.002274378 0.0026026147 0.0030155296 0.00399733 0.0025764257 0.00091981946 0.0009591031 0.000989657 0.00089304836 0.00091050775 0.0013624153 0.0010260307 0.0042216834 0.02250895 0.0012282688 0.0014712455 0.0012559129 0.0052899076 0.005158671 0.009249991 0.005573914 0.00044812463 0.00046558402 0.0003995293 0.00041058692 0.00048246144 0.0005944926 0.00048508035 0.0015922973 0.016435117 0.0011828744 0.0027289044 0.001984552 0.0048868866 0.0046747546 0.009219145 0.005478469 0.00043881295 0.00037916 0.0003299827 0.0003413313 0.0005039947 0.00051534333 0.00036228256 0.0005979845 0.024041304 0.004690759 0.0048921243 0.0018186877 0.0057057324 0.0025147358 0.0037980017 0.00262182 0.006322922 0.0014145025 0.0011302052 0.0013417549 0.0024739972 0.001195969 0.0017636905 0.0022118152 0.102255054 0.017061908 0.033938166 0.007820939 0.052285086 0.010811734 0.0062434818 0.0071286736 0.05817356 0.007172031 0.0044128634 0.007520637 0.034084532 0.00434128 0.014058601 0.015885727 0.067744516 0.010975853 0.024073604 0.0075005586 0.035339575 0.006694225 0.00425602 0.0063770465 0.03558168 0.004981167 0.0030379358 0.0068141134 0.01793546 0.0033749023 0.008423579 0.01314722 0.00091574556 0.00030262963 0.000350061 0.0004635471 0.00027847744 0.0002569442 0.0006003124 0.00036082763 0.0002156236 0.0001402572 0.00014462204 0.00015713461 0.0001545157 0.00013036352 0.00015276976 0.00014374907 0.00029535487 0.00020020113 0.00011348611 0.00011028522 0.0002013651 0.000102719474 0.00010242849 0.00011726898 0.00013851126 0.00011581403 0.00017604895 0.00014724095 0.00016993817 0.00017954085 0.000102719474 0.0001108672 6983.0 17.505657 122242.0 0.02978518 0.00026177583 0.0009816593 7.362445e-05 0.01159176 0.014978485 0.0005399126 0.0002863173 0.0024214264 0.0013825035 0.00052355166 0.0005971761 0.0021596504 0.0042293156 0.0101847155 0.0021351092 0.0062826197 0.0024459679 0.0048346724 0.0042947596 0.0032640172 0.0010961862 0.0030349635 0.00034358076 0.0026422997 0.0026913828 0.0028713536 0.00038448322 0.0012516157 0.011460872 0.0006053566 0.0015133915 0.004581077 0.01587016 0.0041475105 0.019878602 0.017113594 0.021972807 0.018070713 0.0031167683 0.013399649 0.011518137 0.00017997088 0.0023887043 0.012679766 0.008581338 0.010135633 0.011624482 0.010102911 0.0005480931 0.017612604 0.021473797 0.02464783 0.0043602036 0.0042620376 0.010978224 0.0026668413 0.0014643085 0.0009980203 0.00495738 0.028893506 0.00495738 0.0001472489 0.022283668 0.0003026783 0.03288559 0.003689403 0.031666692 0.020778457 0.072912745 0.0090476265 0.007984162 0.0063235224 0.029973332 0.00093257637 0.0052027944 0.02135109 0.015861979 0.03817019 0.042105004 0.011182736 0.00035994177 0.042456765 0.040959734 0.047528673 0.013309664 0.009718427 0.0067734495 0.007493333 0.0056036385 0.00049082964 9.816593e-05 0.006937059 0.0007362445 0.0002863173 0.00011452692 5.6816554 37.0 26.0 2.0 5.0 1719696.0 23212032.0 1.0 0.0 580.0 0.0 1.0 1.0 0.0 0.0 1541043300.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 9.0 0.0 5.0 2.0 5.0 2.0 1118720.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 397824.0 0.0 0.0 0.0 0.0 68096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1118720.0 0.0 120832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3511157 0.0 0.0 0.0 0.0 5.934288 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.087561 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.828958 0.0 4.4702554 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 397478.0 0.0 0.0 0.0 0.0 67620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21488240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1118350.0 0.0 120644.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 2.0 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 3.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 2.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 1.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 1.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -2.0 2.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 -1.0 2.0 0.0 0.0 1.0 0.0 -1.0 2.0 -2.0 1.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 1.0 -2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 3.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 2.0 1.0 -2.0 1.0 -1.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 1.0 -1.0 -1.0 2.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 2.0 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 2.0 -1.0 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 -2.0 -2.0 0.0 0.0 2.0 1.0 -1.0 -2.0 1.0 0.0 0.0 -3.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 -2.0 0.0 3.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 1.0 -2.0 1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 1.0 2.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 -2.0 -2.0 0.0 1.0 1.0 0.0 2.0 1.0 -1.0 2.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 2.0 0.0 2.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 0.0 3.0 -1.0 -2.0 0.0 -2.0 -2.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -3.0 -1.0 0.0 -1.0 0.0 1.0 3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 -1.0 2.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 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 1.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 1.0 -1.0 2.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 2.0 -3.0 -2.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -2.0 -1.0 -1.0 1.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -2.0 0.0 -1.0 2.0 -2.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 2.0 -2.0 -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 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 2.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 -1.0 1.0 0.0 1.0 1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 -3.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 2.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 2.0 1.0 -1.0 0.0 0.0 3.0 1.0 1.0 2.0 0.0 -1.0 -1.0 1.0 -3.0 0.0 2.0 2.0 2.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 -2.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 3.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -3.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 3.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 2.0 1.0 -1.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 2.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 -2.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 4.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 2.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 3.0 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 2.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 3.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 1.0 2.0 1.0 1.0 -2.0 2.0 2.0 0.0 0.0 -1.0 -2.0 0.0 0.0 2.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 -1.0 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 3.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 3.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 -2.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 560.0 1503304.0 120644.0 23089152.0 67620.0 23019520.0 8080.0 1711616.0 0.0 0.0 28.0 1136064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8824.0 1126400.0 0.0 0.0 0.0 0.0


Input: 0.16326147 0.013189049 0.010727306 0.02082436 0.027606804 0.006423952 0.0033782125 0.0064066057 0.01121156 0.0051822383 0.0014440882 0.0038986045 0.005744551 0.000706866 0.0006808464 0.0064962287 0.0058023725 0.0009338148 0.0005738769 0.00057098584 0.00272194 0.003515538 0.0009179139 0.00040330391 0.0022955076 0.00047124398 0.0003772843 0.00625627 0.002638099 0.0026019607 0.00054352067 0.0004669074 0.0016797102 0.0003339183 0.0013429008 0.0015698497 0.010436754 0.0008832211 0.0003425915 0.0006822919 0.0018430555 0.00044233332 0.00038884857 0.0010104281 0.00094393356 0.00043944226 0.00039752177 0.00038451198 0.0017245217 0.00053773855 0.00054207514 0.005148991 0.0010899324 0.00081961765 0.00055508496 0.0006432625 0.0014498703 0.000855756 0.00046546187 0.0021769737 0.0010277745 0.0008109444 0.0004249869 0.0006635 0.0022853888 0.003512647 0.00066639105 0.0014888997 0.0033782125 0.02053959 0.0011318529 0.0006938562 0.0027609693 0.0014831176 0.00086442917 0.0005102734 0.0037526055 0.0130748525 0.0009670621 0.00045967972 0.013502731 0.0024386153 0.0012070207 0.01030521 0.00169272 0.0040648407 0.002700257 0.002440061 0.003797417 0.0017433137 0.0005131645 0.005672274 0.00067795534 0.025510779 0.0033160544 0.0024863181 0.0005276198 0.00029344336 0.00026597822 0.0003122353 0.00072999456 0.00053195644 0.0020049552 0.0002876612 0.018194932 0.00035271022 0.0076454277 0.0003816209 0.00084130064 0.00032813617 0.0003816209 0.00033970043 0.0005998965 0.00028477015 0.0004885904 0.00044233332 0.008637064 0.00969664 0.000492927 0.0004336601 0.0012489412 0.0004163137 0.00040041286 0.00027320586 0.0012908616 0.0028144543 0.0006750643 0.0003469281 0.0059237974 0.0038118726 0.00029922547 0.030176962 0.0029055227 0.012336185 0.00041342265 0.0003599379 0.0013053169 0.024082592 0.0010971602 0.06330426 0.0012778519 0.0043640663 0.00079070695 0.00074011326 0.015334222 0.0002703148 0.000300671 0.0024675261 0.0031483725 0.0013457919 0.0015973147 0.00059266883 0.0013616928 0.0005782135 0.00047702613 0.0005189466 0.00095405226 0.0013804847 0.0003686111 0.0003180174 0.0012084662 0.00051461003 0.00027465142 0.00090345857 0.0015684041 0.0007155392 0.00026308713 0.0002876612 0.00067072763 0.0002399586 0.00035271022 0.0017794521 0.0006808464 0.0013501286 0.00054930284 0.0006649455 0.0013226634 0.00086442917 0.0003035621 0.00035704684 0.0014108409 0.00040908606 0.00033970043 0.0003295817 0.007824674 0.0014050588 0.00029199783 0.0028592658 0.0013342276 0.00044666993 0.0006533812 0.00034837364 0.0076656654 0.0071105803 0.0025007734 0.01237666 0.013731125 0.0004365512 0.0010610218 0.010227151 0.002312854 0.002145172 0.0008282908 0.00050304574 0.0015568398 0.0004408878 0.00046257078 0.00037005663 0.0018257091 0.0009352603 0.0006981928 0.00064037147 0.0018748572 0.00031368082 0.0003772843 0.0010465664 0.006064014 0.0034678355 0.00035704684 0.0060134204 0.0031368083 0.0049654082 0.00031657188 0.0005608671 0.006010529 0.0031469269 0.0005117189 0.00042932353 0.002535466 0.0020728954 0.0003035621 0.00044811546 0.021210317 0.0041269986 0.00045100652 0.0024949913 0.0069486806 0.00038740304 0.0003035621 0.00036572004 0.0056448095 0.00038740304 0.00053340197 0.0023012897 0.0049726362 0.0006129063 0.00066639105 0.0011549814 0.010660811 0.0017852342 0.00097139867 0.00082539977 0.009018685 0.0011824466 0.0011434172 0.03141 0.002967359 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012743126 2.245804e-05 4.2742722e-05 2.8978116e-06 1.4489058e-05 2.8978116e-05 4.5640532e-05 1.9560228e-05 3.6222646e-06 3.6222646e-06 2.8978116e-06 6.520076e-06 2.8978116e-06 5.795623e-06 2.8978116e-06 4.3467176e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009700424 1.6662416e-05 1.014234e-05 2.8978116e-06 2.245804e-05 8.76588e-05 1.014234e-05 8.693435e-06 0.00010794348 4.1293813e-05 2.8978116e-06 2.3182492e-05 4.056936e-05 5.795623e-06 7.6067554e-05 5.723178e-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 0.0015503292 4.5640532e-05 2.8978116e-06 2.6080304e-05 8.76588e-05 0.00023906946 0.00017459315 4.4191627e-05 0.0012438856 2.6804757e-05 3.260038e-05 4.8538343e-05 0.0006288251 0.00010287231 7.8965364e-05 0.00011808582 0.014402848 0.00084978325 0.0002535585 0.0004933524 0.0011830316 0.003037631 0.00090629054 0.00046437432 0.009685935 0.0010308964 0.0003448396 0.00065707875 0.0044025 0.0007164839 0.0012047652 0.0019096578 0.09730344 0.007241631 0.004669099 0.004470599 0.015231622 0.023288263 0.011247856 0.007669058 0.046607677 0.006715678 0.0026116527 0.0056775375 0.018395308 0.007552421 0.015362748 0.021207634 0.14645612 0.016434213 0.010722627 0.009285313 0.032887988 0.045079805 0.01726806 0.015228724 0.07865023 0.01688265 0.006341136 0.01111021 0.03149559 0.020520128 0.029563474 0.041747324 0.020399868 0.0051211575 0.006115107 0.0033636347 0.006910556 0.009018714 0.0024414062 0.00381352 0.015630797 0.005008143 0.0014474569 0.0017437581 0.0075632883 0.0024812513 0.004269201 0.007046029 0.0015858273 0.0013170553 0.0012815571 0.001260548 0.0012438856 0.0013061885 0.0013395133 0.0012438856 0.0013271976 0.0012511301 0.0012562013 0.0012692414 0.0012728637 0.0012590991 0.0012663436 0.001290975 537.0 8.225326 4417.0 0.01584786 0.004301562 0.00452796 0.002490378 0.06022187 0.00905592 0.0029431742 0.002490378 0.010414308 0.00226398 0.004075164 0.00565995 0.00792393 0.001358388 0.0070183384 0.00113199 0.020828616 0.01697985 0.018564636 0.02852615 0.020828616 0.017432647 0.021960607 0.018791035 0.018338239 0.02037582 0.004980756 0.009282318 0.0070183384 0.0074711344 0.0036223682 0.008829522 0.0063391444 0.019696627 0.018338239 0.021281412 0.033733305 0.017432647 0.020828616 0.0029431742 0.005433552 0.00452796 0.002716776 0.0038487662 0.01924383 0.0070183384 0.0029431742 0.002037582 0.027620558 0.024224587 0.023545394 0.016753452 0.017659044 0.013357483 0.021734208 0.019017432 0.005433552 0.009508716 0.005207154 0.013810279 0.0070183384 0.009735114 0.008603124 0.012225493 0.0058863484 0.0065655424 0.00226398 0.008150328 0.0058863484 0.009735114 0.00452796 0.004075164 0.020828616 0.0063391444 0.012451891 0.002716776 0.010640706 0.00452796 0.004754358 0.0038487662 0.004301562 0.00090559205 0.0063391444 0.0018111841 0.021734208 0.004754358 0.002716776 0.0061127464 0.004075164 0.0015847861 0.002490378 0.002490378 0.00452796 0.0015847861 0.0063391444 0.00565995 6.1184053 0.0 0.0 0.0 4.0 691786.0 1138688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1490839600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 827392.0 4096.0 4096.0 4.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -827392.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.234344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -239258.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -827110.0 0.0 35464.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 360.0 849360.0 35464.0 1101824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1512.0 831488.0 0.0 0.0 0.0 0.0


Input: 0.28153077 0.0075683594 0.009924317 0.0036010742 0.007409668 0.0018676758 0.005029297 0.0019165039 0.003857422 0.0011230469 0.017211914 0.0013305664 0.0027709962 0.0010986328 0.0007324219 0.001989746 0.0020996095 0.0020874024 0.0016601563 0.0015014649 0.0014038086 0.0018554687 0.0013671875 0.0014160157 0.0011230469 0.0006591797 0.0006469727 0.000390625 0.00095214846 0.00036621094 0.0013671875 0.0015136718 0.06711426 0.00069580076 0.0028686523 0.0001953125 0.003894043 0.0021972656 0.0010375977 0.0022949218 0.009619141 0.0033691407 0.004760742 0.0014892578 0.0026000976 0.001159668 0.005761719 0.0026733398 0.0019042969 0.002368164 0.0016601563 0.0014526367 0.00070800784 0.0011474609 0.0005615234 0.0010009765 0.0008789062 0.0010864257 0.0016845703 0.003479004 0.0008666992 0.0033813477 0.0006591797 0.0005859375 0.005041504 0.0021240234 0.0017578125 0.004638672 0.0026611327 0.0045776367 0.0021972656 0.00095214846 0.0022094727 0.0032958984 0.00024414062 0.00068359374 0.0018188476 0.001184082 0.0020996095 0.001171875 0.004309082 0.0013671875 0.0060424805 0.0037597655 0.0037231445 0.0018554687 0.0020751953 0.003918457 0.0014038086 0.0016357421 0.0010864257 0.0012939454 0.0018432618 0.0014526367 0.0010498047 0.0044311523 0.00068359374 0.013427734 0.00279541 0.008813476 0.0088623045 0.026489258 0.0052734376 0.00357666 0.0057739257 0.01307373 0.0019042969 0.001550293 0.008679199 0.004833984 0.01850586 0.019799804 0.0069335937 0.0009643555 0.016931152 0.01303711 0.025183106 0.007092285 0.0033691407 0.0033813477 0.0017089844 0.005041504 0.0010375977 0.0039916993 0.0028442382 0.0031982423 0.0013427734 0.0015625 0.002783203 0.0007446289 0.00080566405 0.0029907227 0.0014770508 0.0014892578 0.00080566405 0.0012939454 0.0043945312 0.0036132813 0.0009887696 0.00715332 0.0009033203 0.001965332 0.00069580076 0.0011108399 0.00080566405 0.0008911133 0.0009643555 0.0006225586 0.00052490237 0.0004394531 0.00050048827 0.0008544922 0.0005126953 0.0010009765 0.0005371094 0.00029296876 0.0005493164 0.0016113281 0.0005126953 0.00046386718 0.0006591797 0.0006469727 0.00061035156 0.0006347656 0.0007324219 0.0005859375 0.00078125 0.0005493164 0.00045166016 0.00035400392 0.00030517578 0.0006713867 0.0004394531 0.00041503907 0.00057373045 0.0005615234 0.0006225586 0.00045166016 0.0006347656 0.0002807617 0.0005126953 0.00037841796 0.00041503907 0.0009643555 0.0025390624 0.0010864257 0.00048828125 0.0005493164 0.00052490237 0.00047607423 0.00040283203 0.00059814454 0.0020263672 0.0005493164 0.0015014649 0.00091552734 0.00092773436 0.00057373045 0.0009765625 0.001159668 0.00078125 0.00059814454 0.00037841796 0.0008544922 0.0037963868 0.0004272461 0.00048828125 0.0006469727 0.0005493164 0.0004272461 0.00078125 0.0005126953 0.0006469727 0.0006713867 0.0022583008 0.0011474609 0.0008789062 0.0010986328 0.0025878907 0.0017333984 0.0010253906 0.0010253906 0.0010253906 0.0037597655 0.0032714843 0.0009765625 0.0007446289 0.0016601563 0.0016845703 0.0009033203 0.0010742188 0.00070800784 0.0033203126 0.00080566405 0.00068359374 0.0011230469 0.00081787107 0.0006225586 0.00045166016 0.00059814454 0.0024536133 0.00048828125 0.00057373045 0.00048828125 0.00050048827 0.0006591797 0.0008789062 0.00081787107 0.0014282226 0.00059814454 0.00078125 0.0026000976 0.0012817383 0.0014282226 0.0022094727 0.038342286 0.025316456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011854727 9.271163e-05 0.00016070016 2.4723102e-05 9.889241e-05 3.0903877e-05 0.00019160403 9.271163e-05 1.2361551e-05 1.2361551e-05 0.0 3.0903877e-05 1.8542325e-05 6.1807755e-06 6.1807755e-06 2.4723102e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009839795 0.0005562698 0.00061189674 0.00025959258 0.00024723102 0.00012979629 0.00019160403 0.00032140032 0.000111253954 6.798853e-05 8.035008e-05 5.5626977e-05 3.0903877e-05 6.798853e-05 6.1807754e-05 2.4723102e-05 0.007565269 7.41693e-05 4.3265427e-05 4.9446204e-05 2.4723102e-05 1.8542325e-05 1.8542325e-05 0.000117434734 0.0005995352 0.0003708465 0.00014215783 1.8542325e-05 3.708465e-05 0.0006675237 0.00031521954 0.0025959257 0.033790298 0.002089102 0.06633208 0.0051609473 0.009852156 0.011687846 0.088644676 0.047091328 0.0005130044 2.4723102e-05 6.1807754e-05 0.00012361551 9.889241e-05 0.000111253954 6.1807754e-05 0.00017924249 0.09807036 0.009122824 0.025637856 0.005198032 0.008016465 0.00869017 0.033981904 0.02590981 0.0060138945 0.0021014635 0.0013103244 0.0022621637 0.0017120747 0.0023795986 0.0021756329 0.007923754 0.052839447 0.0012670589 0.005877917 0.0038135385 0.0054329014 0.005612144 0.013165051 0.008955943 0.004437797 0.0024661294 0.0014895669 0.0011249011 0.0015451938 0.0049755243 0.0037888153 0.009790348 0.036911592 0.001403036 0.0021941753 0.0020272944 0.0028678798 0.0026577334 0.0021818136 0.0034179688 0.0076765227 0.0023425138 0.0015637361 0.0027319028 0.0026206488 0.0030718453 0.0043389043 0.0106000295 0.042777147 0.001953125 0.0056863134 0.004128758 0.003214003 0.0024599486 0.0023425138 0.005556517 0.004950801 0.002694818 0.0026206488 0.0025712026 0.0038073575 0.0068112146 0.0047159316 0.017633753 0.02869116 0.004017504 0.004450158 0.002942049 0.0071635186 0.010272449 0.0027319028 0.0057604825 0.009308248 0.0011310818 0.001817148 0.0021138252 0.0069224685 0.0022868868 0.0042214696 0.0074354727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 819.0 33.113552 27120.0 0.1884587 0.0007374631 0.0069321534 0.00014749262 0.00014749262 0.003982301 0.00047935103 0.0012905605 0.009623894 0.008738938 0.0060471976 0.0017699115 0.0043141595 0.0018436578 0.014933628 0.0067109144 0.0014011799 0.0013643068 0.0019542773 0.0007743363 0.00044247787 0.0007743363 0.00040560472 0.0015486726 0.0006637168 0.0006637168 0.0034660767 0.0076327436 0.00095870206 0.005678466 0.0006637168 0.00011061947 0.0015486726 0.0045722714 0.0038348082 0.012536873 0.0026548672 0.008738938 0.004056047 0.001179941 0.004461652 0.008333334 0.00011061947 0.0003318584 0.0022861357 0.0012168142 0.0038348082 0.0026548672 0.0050516226 0.00047935103 0.008333334 0.0061578173 0.0071165194 0.0024705015 0.0007743363 0.005383481 0.00088495575 0.00088495575 0.00018436578 0.0017330383 0.0032448377 0.0017699115 0.00029498525 0.010766962 0.00014749262 0.039712388 0.0076696165 0.025036873 0.021792036 0.078539826 0.013716814 0.009144543 0.014454277 0.037647493 0.0006637168 0.0016961652 0.024963127 0.009144543 0.05405605 0.048303835 0.017551623 0.0009218289 0.0484882 0.030715339 0.06205752 0.016224189 0.008185841 0.0080383485 0.00210177 0.009734513 0.0010324484 0.003281711 0.00040560472 0.0016224189 0.0 0.00040560472 5.00155 26.0 1.0 0.0 2.0 81920.0 98304.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1193197400.0 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 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 8.0 0.0 4.0 0.0 4.0 0.0 69632.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9182959 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8917427 0.0 4.4795527 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 -66260.0 0.0 1080.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 74360.0 1080.0 81920.0 0.0 0.0 0.0 0.0 12.0 90112.0 28.0 74232.0 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: 0.103600055 0.0075236284 0.010241835 0.0052573523 0.009334387 0.0038438956 0.003224215 0.0037302233 0.008067436 0.003017563 0.0030652944 0.002819188 0.00478666 0.003537642 0.0026793045 0.006210601 0.0064782277 0.0025788755 0.002401469 0.0023305619 0.0032636693 0.00266882 0.0022102676 0.0022053013 0.0032192487 0.002272622 0.0023231125 0.0021738482 0.003325196 0.0021633639 0.0023175944 0.0020877663 0.004335281 0.0021241854 0.0021567421 0.002080041 0.008802168 0.0021895748 0.0020734193 0.0022400653 0.0027521432 0.0022254423 0.0020775578 0.0023515306 0.0027546263 0.0024572017 0.0022974533 0.00223234 0.0032887766 0.002307386 0.002290004 0.0057575665 0.0032697392 0.002260758 0.0021581217 0.0021145288 0.0029822472 0.0023553933 0.0022889003 0.0027568336 0.0028084277 0.0022353749 0.0021153565 0.00209963 0.004617531 0.0035503337 0.0037956124 0.0047678985 0.005516426 0.009363357 0.0064390493 0.003011493 0.0036066181 0.0033861708 0.002669372 0.0030788137 0.0041242144 0.0039755017 0.003503154 0.0031533078 0.006293648 0.003408519 0.0037045642 0.0063609686 0.0042613386 0.0059272475 0.0040775863 0.0053133606 0.0026070178 0.004099935 0.0030785378 0.0034689421 0.002615019 0.0033588563 0.0032159379 0.0027695252 0.0032694633 0.004878536 0.0024078148 0.003435006 0.0064528445 0.007956522 0.006032643 0.002727036 0.0049800687 0.004378046 0.0033792732 0.0023209052 0.0048434963 0.0030926089 0.0051182965 0.005151957 0.0033296105 0.0019539527 0.005281356 0.004424674 0.009643951 0.0052126558 0.0024089185 0.0023664294 0.003342302 0.0026370913 0.002140188 0.0022166134 0.002787459 0.0028340868 0.002378293 0.002211923 0.0055329804 0.0027515914 0.0020314818 0.006247572 0.0035459192 0.0042823073 0.002136877 0.00265199 0.0031911067 0.0077705625 0.0021992314 0.02238189 0.0022157857 0.0064020786 0.0020129962 0.0021843326 0.0064169774 0.0019884408 0.0022599304 0.0020899735 0.0022778641 0.0025816346 0.0021385325 0.0020292746 0.0023600836 0.002603707 0.0022935907 0.0021755036 0.004200088 0.002025136 0.0020229288 0.0020187902 0.0022287532 0.0029102364 0.0019823709 0.002238134 0.002333321 0.0022880726 0.001918637 0.0020921808 0.0023029714 0.0019837504 0.0020116167 0.001993407 0.0023490475 0.002037 0.0020259637 0.001967472 0.004151805 0.002027895 0.002395951 0.0020243083 0.0023109727 0.0019782323 0.0026914442 0.002344357 0.0032079369 0.0023838112 0.002718207 0.0021327385 0.0023738786 0.0021459819 0.0023493234 0.0022615858 0.0054899394 0.0023777413 0.0030683293 0.006144384 0.003446318 0.0020789374 0.004150425 0.0038935584 0.0025755647 0.0025664598 0.0021768832 0.002200611 0.019539528 0.0020232047 0.0021120457 0.0021332903 0.0030332895 0.002192058 0.0027838722 0.0024640993 0.0023145594 0.0020085818 0.002401469 0.0022740015 0.0034336264 0.0020736952 0.0023175944 0.002692272 0.002482033 0.0020954914 0.0020405867 0.0021377048 0.0027049636 0.0021749518 0.0022618617 0.002031206 0.00255432 0.0024343017 0.0020825241 0.0020576927 0.012587848 0.004867776 0.0022861413 0.004145459 0.0036295182 0.00214543 0.002781389 0.002194817 0.0042558205 0.002275381 0.0027024804 0.0024497523 0.0041007623 0.0026186057 0.0032220078 0.0027427624 0.004814526 0.0027802854 0.0026401263 0.0028429157 0.005887241 0.0026997214 0.0035500578 0.027660763 0.0026304806 3.3122526e-06 2.346179e-06 4.1403158e-07 8.832674e-06 1.1040843e-06 1.1040843e-06 1.2420948e-06 1.04888e-05 1.5181158e-06 2.346179e-06 4.1403158e-07 0.008632835 6.900526e-07 7.314558e-06 1.3801052e-06 0.00030872956 3.588274e-05 3.1742422e-06 2.2081686e-06 6.2104737e-06 1.1454874e-05 4.5543475e-06 3.1742422e-06 1.324901e-05 3.0362316e-06 3.4502632e-06 3.0362316e-06 0.0035305854 1.1040843e-06 2.2495717e-05 4.692358e-06 0.00053824106 5.8240443e-05 1.1040843e-06 1.5181158e-06 6.624505e-06 2.2081686e-06 1.04888e-05 3.3122526e-06 2.2081686e-06 2.2081686e-06 1.3801053e-07 2.7602107e-07 0.0005022203 1.3801053e-07 5.5204214e-07 1.1040843e-06 0.0017142288 0.00033246737 1.7251316e-05 7.4525688e-06 1.4767126e-05 1.2558958e-05 1.2834979e-05 1.0764821e-05 9.384716e-06 5.520421e-06 4.140316e-06 1.0626811e-05 0.00093143305 5.1063894e-06 8.418642e-06 1.2144927e-05 0.0025623036 0.00117999 7.314558e-06 7.0385368e-06 9.660737e-06 1.0212779e-05 6.0724633e-06 5.3824106e-06 0.0007179308 3.7262844e-06 1.9321474e-06 3.3122526e-06 0.00083827594 3.3122526e-06 7.0385368e-06 6.762516e-06 0.0015539986 5.3134052e-05 2.870619e-05 1.9183464e-05 6.693511e-05 3.0500327e-05 3.7676873e-05 2.070158e-05 1.8907442e-05 2.2909748e-05 3.3122526e-06 3.2156455e-05 1.8631421e-05 4.416337e-06 1.849341e-05 4.8855727e-05 0.0027584163 9.7711454e-05 4.6785568e-05 6.762516e-05 0.00014670519 7.797595e-05 3.0638337e-05 3.422661e-05 0.00022633727 3.436462e-05 2.5531948e-05 9.108695e-05 0.00037400852 9.3709146e-05 2.3047758e-05 0.000111512505 0.0072778473 0.00019238668 0.00054872985 0.00011496277 0.0004075451 0.0003160441 0.0019480186 0.0009698 6.376086e-05 5.6308294e-05 3.588274e-05 8.9844856e-05 0.000104888 4.3887347e-05 5.782641e-05 0.0004913175 0.0059470115 0.00019583694 0.00024165644 0.0005670853 0.0008282012 0.0004483962 0.0017423829 0.0010312147 5.451416e-05 4.3335305e-05 3.5468707e-05 0.0002546294 0.0002333758 3.132839e-05 4.0161063e-05 0.0010244522 0.008980759 0.00043556123 0.0003987124 0.00096496963 0.0013127561 0.0008283392 0.0023258915 0.001113883 0.0004101673 0.00015250163 0.0001389766 0.00026939655 0.0012757693 0.00020149538 0.00017347923 0.0008025312 0.019954804 0.000956827 0.00069929933 0.00071627466 0.0064547523 0.002006811 0.008339148 0.0041129896 0.00088409544 0.00066631485 0.00035799932 0.00048565905 0.00047448018 0.0003578613 0.0004296268 0.0014354475 0.019668018 0.0010572986 0.001023486 0.0011819222 0.0060897144 0.0025750005 0.0075571807 0.0038371067 0.001638737 0.0012276036 0.0005350668 0.00071586063 0.001283912 0.0006697651 0.0014442801 0.0029150583 0.010866811 0.0009256366 0.00069847127 0.00080446334 0.003001867 0.0023828899 0.0034266633 0.0020651896 0.0027045924 0.0010070628 0.0004808287 0.00077686127 0.0011224396 0.0006919848 0.0015341251 0.0042540366 0.026595732 0.0030191182 0.0022648908 0.0028239714 0.0077807577 0.00897303 0.005567759 0.005021375 0.013132668 0.0025370475 0.0013865918 0.0023759892 0.0049736234 0.0023246494 0.0057746368 0.012005536 0.0326083 0.0056431126 0.004431656 0.0054465854 0.011961648 0.016769107 0.0068606413 0.007185242 0.024303379 0.0044897585 0.0026500782 0.0039821556 0.010235689 0.0051849177 0.011142004 0.019802164 0.036876827 0.029846156 0.0347033 0.030359417 0.030476727 0.030135289 0.032492787 0.029726502 0.03338033 0.03124655 0.029015195 0.030422626 0.03147178 0.029146582 0.03227818 0.034357306 27011.0 8.692866 234803.0 0.008032265 0.0031771315 0.0034539592 0.0030451058 0.005110667 0.0034965482 0.003270827 0.0034284058 0.0035135837 0.0031345426 0.0033687814 0.0032026847 0.0039224373 0.0046464484 0.005843196 0.003236756 0.0041098283 0.004203524 0.0040289094 0.008219657 0.004207783 0.003884107 0.0037180104 0.0032452736 0.0047145905 0.0035561726 0.0050978907 0.0036754215 0.004271666 0.0035902436 0.004288702 0.0034709948 0.0039565084 0.012504099 0.009403627 0.017725497 0.012125058 0.010779249 0.014855006 0.006396852 0.008257986 0.013283476 0.003581726 0.0039096605 0.007951346 0.008845713 0.0065970197 0.008990515 0.00993173 0.005119185 0.009633608 0.016533008 0.016809836 0.007193264 0.007146416 0.0073380666 0.003884107 0.006971802 0.0042588892 0.0061881663 0.0034454416 0.0058304197 0.0062264963 0.0069973553 0.0035902436 0.0404126 0.008505002 0.020595988 0.025527783 0.0731805 0.008347423 0.0131897805 0.013087567 0.033014912 0.003692457 0.0071080863 0.026903404 0.016447831 0.041801 0.044300966 0.015191458 0.003347487 0.04255482 0.03137098 0.0565325 0.0152383065 0.006929213 0.006452217 0.008181326 0.010191523 0.0044505396 0.0028704915 0.0030749182 0.0030323293 0.002853456 0.0031856492 5.946064 2.0 0.0 0.0 26.0 3624448.0 3690496.0 0.0 5.0 19.0 0.0 1.0 0.0 1.0 0.0 1524403800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 5.0 0.0 5.0 0.0 1495040.0 1536.0 4096.0 10.0 0.0 0.0 3.0 5.0 0.0 1739264.0 -512.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -167424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48128.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -1492480.0 -13824.0 159232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8762875 0.0 0.0 0.0 -3.813503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.21082626 0.0 0.0 -7.8986998 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.749365 0.0 0.0 0.0 0.0 0.0 2.2315784 0.0 0.0 -6.4406114 -1.5290911 6.887573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1738888.0 -4096.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 -167110.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -90112.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 -1495040.0 -16384.0 159206.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184.0 1617920.0 260.0 3385272.0 159206.0 3530752.0 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 1593344.0 0.0 0.0 0.0 0.0 128.0 3477504.0 0.0 0.0 0.0 0.0


Input: 0.119499445 0.019091086 0.009168068 0.017249465 0.019119682 0.004558297 0.003048397 0.002007481 0.020869793 0.002905414 0.0025565354 0.0010695126 0.01368633 0.0014984615 0.0012010569 0.01024902 0.022356817 0.002316324 0.0006920376 0.00062340574 0.005347563 0.0035917321 0.0008407399 0.0003603171 0.0034487492 0.00062340574 0.00041179094 0.00053189666 0.0023963945 0.00047470344 0.00045182617 0.00049758074 0.001435549 0.00046898413 0.0003374398 0.00068059895 0.0033400822 0.0009780035 0.00034887844 0.00048042278 0.0012353729 0.00024021139 0.00034315913 0.0016357251 0.00080070464 0.000520458 0.00039463298 0.00026308867 0.0015670933 0.0003374398 0.00039463298 0.0029912037 0.00068059895 0.000520458 0.00035459775 0.0003603171 0.00093224895 0.0007606694 0.00031456252 0.0039692074 0.0009780035 0.0005833705 0.0002745273 0.00044610686 0.0023106048 0.0023220433 0.0038719787 0.0003031239 0.0019216911 0.037753224 0.00090937165 0.0005776512 0.0053418437 0.0004232296 0.0011381444 0.00038891367 0.0012925661 0.034893565 0.00033172048 0.00028596594 0.012233622 0.013360329 0.006354163 0.00077782734 0.0015499353 0.02704094 0.0015384967 0.001183899 0.0008464592 0.0014012331 0.00040035232 0.0006062478 0.0006405637 0.006119671 0.0010695126 0.0011381444 0.0005662126 0.0002802466 0.00032028186 0.00026880798 0.0021390251 0.00062912505 0.004809947 0.00038319436 0.0039234525 0.00038891367 0.0104549145 0.0005833705 0.0010008807 0.0003603171 0.0003374398 0.00040607163 0.00093796826 0.00044610686 0.0006920376 0.00065772166 0.005582055 0.0061768643 0.00053761597 0.00062912505 0.0011209864 0.00047470344 0.00033172048 0.00018873751 0.0012010569 0.0063770404 0.0015785319 0.0006691603 0.001721515 0.003391556 0.001561374 0.025399495 0.0016700411 0.0070576393 0.00033172048 0.0005948091 0.0022877275 0.029866282 0.0025851321 0.09158345 0.0008293012 0.00999165 0.00050901936 0.0004575455 0.0014984615 0.0007263535 0.00017729888 0.00026308867 0.0011267058 0.003300047 0.0003031239 0.00013726365 0.0007091955 0.0007206342 0.000120105695 0.00013726365 0.00074923073 0.00016586024 0.00016014093 0.0002173341 0.0011724604 0.00080070464 0.00016014093 0.0003660364 0.000915091 0.00046326482 0.00022305343 0.00017729888 0.0012754081 0.00023449206 0.00020017616 0.00039463298 0.0008293012 0.00017157957 0.0002459307 0.0002802466 0.0006920376 0.00020589547 0.0002173341 0.0001544216 0.0010123195 0.00014298297 0.0003603171 0.0002173341 0.0019216911 0.0007034762 0.00037747502 0.00010866705 0.00077782734 0.0011896183 0.0016700411 0.002836782 0.0073321667 0.005507704 0.007011885 0.0031456253 0.006657287 0.00025165002 0.001149583 0.0086018555 0.0038834175 0.0013726365 0.0004346682 0.00024021139 0.0056564063 0.00020589547 0.00016586024 0.00025736933 0.0021218671 0.0011038285 0.0014126718 0.0003717557 0.0018359013 0.00029740456 0.000520458 0.00023449206 0.0022762888 0.00044610686 0.00033172048 0.00037747502 0.0023563593 0.0004232296 0.0003031239 0.0003717557 0.00486714 0.00089793303 0.0014012331 0.0002745273 0.0035574161 0.0056792833 0.00029168525 0.0002116148 0.019594386 0.0056564063 0.0008750558 0.0074522723 0.015670933 0.00031456252 0.0005490546 0.00051473867 0.008281574 0.00049758074 0.00031456252 0.00068059895 0.00755522 0.00032600117 0.0008807751 0.0014412684 0.010963934 0.0007377921 0.0010523547 0.00052617735 0.019337017 0.0022877275 0.0042780503 0.04903172 0.01183432 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0051775146 6.0674003e-05 0.00011845877 2.6003143e-05 8.3787905e-05 3.178162e-05 0.000182022 6.356324e-05 2.8892382e-05 6.645248e-05 5.7784764e-06 2.3113906e-05 2.6003143e-05 5.7784764e-06 2.8892382e-06 1.4446191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008656157 0.0013261603 8.956638e-05 0.00023691753 0.00027736687 9.534486e-05 0.0004160503 6.934172e-05 0.00017624353 4.3338572e-05 3.7560098e-05 4.0449333e-05 8.956638e-05 6.356324e-05 8.956638e-05 0.00012712648 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0038397976 0.0001964682 8.956638e-05 4.3338572e-05 0.00012423724 0.0002195821 9.82341e-05 8.3787905e-05 0.00048250277 5.2006286e-05 2.8892382e-05 4.3338572e-05 0.00013001572 6.356324e-05 0.00014446191 0.00027736687 0.003287953 0.00016757581 1.1556953e-05 4.622781e-05 0.0003322624 0.0003698225 0.00019935744 6.356324e-05 0.00051139516 1.1556953e-05 1.733543e-05 4.911705e-05 0.00010112333 1.733543e-05 0.0003120377 0.00041893954 0.0031839404 0.00027736687 2.3113906e-05 5.7784764e-05 0.00044494268 0.0001964682 5.4895525e-05 8.6677144e-05 0.000557623 4.0449333e-05 5.4895525e-05 0.00015024039 0.00012712648 3.7560098e-05 0.00022824982 0.00039582563 0.010675735 0.0026032035 0.00037560097 0.00034670858 0.0022853874 0.0016959828 0.0005489552 0.0008349898 0.0047036796 0.00029759153 0.00010401257 0.00019935744 0.0011874769 0.00022247134 0.0013752774 0.0021293685 0.086498015 0.013868343 0.0035653198 0.0042442908 0.039267637 0.030441014 0.010568833 0.007257766 0.073068835 0.0031579372 0.0020802515 0.0041460567 0.022085337 0.003857133 0.028450329 0.046141133 0.10073618 0.022304919 0.007003513 0.008474136 0.048036475 0.03890648 0.012903337 0.015174279 0.092282265 0.00610496 0.004732572 0.007428231 0.024099136 0.008699496 0.03428081 0.05404031 0.012625971 0.004160503 0.0019820174 0.0017826599 0.003701114 0.004440759 0.0017884384 0.0037155603 0.008664825 0.0007136418 0.0008783284 0.0005518445 0.004030487 0.0017971061 0.0033052885 0.005033053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 6.1578946 468.0 0.021367522 0.0042735045 0.0021367522 0.0021367522 0.010683761 0.008547009 0.0042735045 0.0021367522 0.008547009 0.0042735045 0.0042735045 0.047008548 0.0042735045 0.0 0.017094018 0.0 0.051282052 0.0 0.0 0.0042735045 0.0064102565 0.0 0.0 0.0021367522 0.0042735045 0.0064102565 0.0021367522 0.053418804 0.0042735045 0.0021367522 0.0021367522 0.0021367522 0.010683761 0.012820513 0.040598292 0.0021367522 0.0042735045 0.0021367522 0.0042735045 0.0064102565 0.05982906 0.0 0.0064102565 0.0 0.014957265 0.0 0.0 0.0042735045 0.044871796 0.053418804 0.014957265 0.025641026 0.0042735045 0.0042735045 0.032051284 0.021367522 0.0042735045 0.008547009 0.0 0.0042735045 0.0021367522 0.0021367522 0.0042735045 0.0042735045 0.0042735045 0.012820513 0.0021367522 0.008547009 0.010683761 0.010683761 0.0021367522 0.0021367522 0.053418804 0.012820513 0.01923077 0.0 0.010683761 0.0042735045 0.010683761 0.008547009 0.0042735045 0.0 0.014957265 0.0064102565 0.034188036 0.025641026 0.0021367522 0.0042735045 0.0064102565 0.0 0.0 0.0042735045 0.0064102565 0.027777778 0.0064102565 0.0021367522 5.5864167 0.0 0.0 0.0 1.0 174846.0 327680.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1278038500.0 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 6.0 0.0 4.0 0.0 4.0 0.0 225280.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 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 -225280.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1190853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -221266.0 0.0 10544.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 520.0 249104.0 180.0 243912.0 10544.0 299008.0 0.0 0.0 7744.0 303184.0 9720.0 311296.0 28.0 230416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1040.0 229376.0 0.0 0.0 0.0 0.0