Input: 0.14672495 0.0079264585 0.0053544748 0.006058803 0.008719421 0.003491567 0.0033396222 0.0032130014 0.0065352134 0.0028711255 0.002761915 0.00268436 0.0058482955 0.0030167392 0.0024105425 0.007940703 0.005595054 0.0027255116 0.0022269425 0.0021889561 0.0039537326 0.004635902 0.0023757217 0.0022079493 0.003668836 0.0020275146 0.0020623354 0.0019895285 0.0029581771 0.0020971561 0.002530832 0.002249101 0.0055554854 0.001978449 0.0041863983 0.0021193146 0.008893524 0.0020702493 0.002117732 0.001973701 0.00277616 0.0017631939 0.002019601 0.002893284 0.0023646425 0.0047261193 0.0024754356 0.001946794 0.0033222118 0.0021398906 0.002203201 0.0067615476 0.0023915493 0.0022649285 0.0018834836 0.001913556 0.0029502634 0.0027286771 0.0022332733 0.003558043 0.0028489667 0.0028521323 0.0020971561 0.0045409366 0.0047308677 0.004083519 0.0028188943 0.0072680307 0.008656111 0.008945756 0.0033253774 0.0025498252 0.0028774564 0.0025561564 0.0018265042 0.001873987 0.0033111325 0.0036783325 0.0026938564 0.0021842078 0.0068185274 0.0029740047 0.002307663 0.0040344535 0.0033127153 0.0051455507 0.004930295 0.004154743 0.0025086736 0.004183233 0.0019341318 0.002413708 0.002307663 0.003307967 0.003512143 0.0031987566 0.0026004736 0.0049572024 0.0026337116 0.003558043 0.0041072606 0.0066713304 0.007022703 0.0024643564 0.0041658226 0.004083519 0.0050743264 0.0024216217 0.003964812 0.003024653 0.004279781 0.0041911467 0.0033649462 0.0019420456 0.004713457 0.0046200743 0.010371822 0.008922014 0.0027381736 0.0044285604 0.0026020564 0.002407377 0.0021683802 0.0017600284 0.0026242149 0.0026447908 0.0024738528 0.002576732 0.004031288 0.0026542873 0.0019040594 0.008665607 0.0036878292 0.0067710443 0.0020101042 0.0017568629 0.004893892 0.0070796823 0.002255432 0.017802877 0.0023250734 0.0067029856 0.0018534112 0.0016903869 0.0022981665 0.0018629077 0.0018027629 0.0018518284 0.002103487 0.0019309664 0.0017568629 0.0017774387 0.0021208974 0.003622936 0.0017315387 0.0017584456 0.0020037733 0.0018755698 0.0018201732 0.0019246354 0.0021525526 0.0022585976 0.0017331215 0.0020148526 0.0019278008 0.002098739 0.0017964318 0.0017014663 0.002359894 0.0018644904 0.003208253 0.0019705354 0.002006939 0.0018154249 0.0019357146 0.0018724042 0.0023203252 0.0019562906 0.0017331215 0.001886649 0.002276008 0.002124063 0.0025070908 0.0023630597 0.0026368771 0.0021351422 0.002131977 0.002451694 0.0024247873 0.0025245012 0.0021842078 0.0026574528 0.006998962 0.0036925776 0.003662505 0.0044665467 0.003635598 0.0022063665 0.0029027807 0.0035659568 0.0030958771 0.003208253 0.001978449 0.002044925 0.0032256634 0.0020306802 0.0024738528 0.0021715458 0.002530832 0.0022016182 0.0022870873 0.001973701 0.0021050698 0.0018122594 0.002321908 0.0019942767 0.0026574528 0.0023171597 0.0018470801 0.002446946 0.002157301 0.004013878 0.0019626215 0.0021272285 0.0032145842 0.0022253597 0.001834418 0.0018486629 0.0024580252 0.002111401 0.0019246354 0.0017806042 0.00980836 0.0026479564 0.001736287 0.00448554 0.0040154606 0.0018629077 0.0027904047 0.0019293836 0.00392366 0.0022918354 0.0022316906 0.0020765802 0.0025339976 0.0017394525 0.0031386118 0.0028268083 0.004248126 0.0022585976 0.0020433422 0.0019420456 0.0037986224 0.0021604665 0.005438361 0.038255293 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0030097465 1.34752945e-05 2.377993e-05 8.719308e-06 5.5486507e-06 7.9266437e-07 1.5853287e-06 7.926644e-06 3.1706575e-06 2.377993e-06 3.5669895e-05 0.0 4.755986e-06 2.377993e-06 1.5853287e-06 0.00012524097 0.0014307592 7.133979e-06 7.926644e-06 3.963322e-06 8.719308e-06 1.5853287e-06 3.1706575e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001601182 0.0029106636 3.249924e-05 2.7743254e-05 1.5060623e-05 2.4572595e-05 1.823128e-05 1.6645952e-05 1.6645952e-05 4.0425883e-05 1.10973015e-05 1.5853288e-05 1.10973015e-05 1.10973015e-05 1.4267958e-05 1.9816609e-05 6.1035156e-05 0.0027267653 2.2194603e-05 4.4389206e-05 1.5060623e-05 7.133979e-05 2.536526e-05 5.7071833e-05 5.231585e-05 1.823128e-05 1.7438617e-05 2.377993e-05 3.7255224e-05 1.5853288e-05 5.5486507e-06 6.737647e-05 4.6767196e-05 0.0037611923 0.00013316762 7.530311e-05 1.5853288e-05 9.1156406e-05 0.00015219155 8.0851765e-05 0.00029883446 0.000100668374 1.268263e-05 2.4572595e-05 1.9023944e-05 1.5060623e-05 1.4267958e-05 3.0121246e-05 4.518187e-05 0.008529069 0.00014822824 0.00049065927 9.432706e-05 0.000100668374 7.292512e-05 0.0018873338 0.0009781478 7.530311e-05 3.8840553e-05 1.6645952e-05 1.7438617e-05 5.7071833e-05 6.737647e-05 5.073052e-05 0.0003622476 0.01244166 6.024249e-05 0.0011897893 2.9328581e-05 0.0013340542 0.00063968013 0.0026625595 0.0015353909 1.823128e-05 3.5669895e-05 3.1706575e-05 9.7497716e-05 0.00011018035 9.511972e-05 0.00028060318 0.0005421824 0.022992816 0.000800591 0.0015726461 0.0009797332 0.0030422457 0.0009313806 0.004128989 0.0024992707 0.0012175324 0.0009274173 0.00065553345 0.0006888253 0.00039791752 0.0006032176 0.0004098075 0.0019832463 0.019884778 0.0006698014 0.0018025187 0.001051073 0.0037049132 0.0014513684 0.006954837 0.0036415001 0.0011802772 0.0002980418 0.0003891982 0.000807725 0.0008996741 0.000923454 0.0005778523 0.0012175324 0.017936409 0.00068089867 0.0020442815 0.0014474051 0.003776253 0.0016019747 0.006041688 0.0038055817 0.0011628387 0.0010716822 0.0008235783 0.0007427265 0.0007474825 0.00076412846 0.00078949373 0.0020181234 0.006100345 0.00045102602 0.0007244952 0.0012159471 0.00090125937 0.00031944373 0.0016170354 0.0014212473 0.00057943765 0.00048828125 0.00051681715 0.00023225066 0.00035986962 0.0008013837 0.0010526583 0.0010756456 0.009446181 0.0018651392 0.0013435661 0.0020656832 0.0017288009 0.0016233766 0.0023431159 0.0017827022 0.002569818 0.0017200817 0.0015211229 0.0017280083 0.0015758168 0.0016606319 0.0014053939 0.0062049767 0.03626281 0.006562468 0.0066567953 0.0065061892 0.01004068 0.011033888 0.006329425 0.00847596 0.01978094 0.0029368214 0.00348376 0.0048804344 0.010932427 0.004045759 0.008587725 0.020691711 0.047478218 0.011912953 0.011657715 0.010224578 0.016036393 0.017377581 0.010264211 0.013357188 0.027289849 0.0031492556 0.0037318638 0.00496842 0.014373383 0.0056358436 0.011646617 0.024662167 0.023599204 0.02219698 0.022128018 0.022938121 0.02257508 0.021867232 0.022644043 0.022401487 0.022168444 0.021579495 0.021497058 0.022136739 0.021940157 0.022181127 0.021827599 0.021838697 3128.0 11.383632 35608.0 0.023056617 0.001797349 0.03384071 0.0026960233 0.012075938 0.002246686 0.002246686 0.0037070322 0.0030891935 0.0025556055 0.0030049428 0.0028926083 0.0026679398 0.0044091213 0.009379915 0.0055324645 0.006683891 0.0046899575 0.0046899575 0.030583015 0.004661874 0.0039317007 0.0035385306 0.0029487757 0.0044652885 0.005363963 0.0060941363 0.003117277 0.0049988767 0.003987868 0.0041563693 0.0077791507 0.018366659 0.015979555 0.0058694677 0.015333633 0.024432711 0.007498315 0.0076668165 0.00542013 0.0044652885 0.008705908 0.002527522 0.0026960233 0.00848124 0.006683891 0.0042687035 0.0037070322 0.014547293 0.004577623 0.0067962254 0.011486183 0.01224444 0.023112783 0.009745001 0.011963604 0.0040721186 0.0039036172 0.002920692 0.0031734442 0.002724107 0.003313862 0.0040159514 0.006880476 0.003257695 0.031369355 0.007638733 0.017804988 0.020079758 0.05229162 0.03586273 0.008200404 0.007835318 0.025499888 0.0051954617 0.004577623 0.022523029 0.014659627 0.025022468 0.032633115 0.015333633 0.0028645247 0.031762525 0.02229836 0.04108627 0.012272523 0.0056447987 0.03743541 0.008284655 0.0077229836 0.0029768592 0.0018815997 0.0031453606 0.0030049428 0.0029768592 0.002387104 6.0104747 1.0 12.0 7.0 14.0 631808.0 643072.0 1.0 0.0 379.0 0.0 1.0 0.0 1.0 0.0 1543275400.0 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 14.0 16.0 5.0 1.0 5.0 1.0 217088.0 1024.0 4096.0 4.0 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 104960.0 0.0 0.0 0.0 0.0 0.0 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 -217088.0 0.0 300544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5419364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1771407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6521773 0.0 7.656138 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11844.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -216774.0 0.0 300540.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 -1.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 -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 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 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 -2.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 -1.0 -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 -1.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -3.0 1.0 0.0 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 0.0 -2.0 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 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 -2.0 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 1.0 2.0 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 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 -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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 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 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 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 1.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 -2.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 400.0 317116.0 300540.0 339968.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 304544.0 0.0 0.0 0.0 0.0 24.0 304816.0 64.0 304656.0 0.0 0.0 1592.0 221184.0 0.0 0.0 0.0 0.0


Input: 0.056585964 0.008289446 0.006172112 0.0056541506 0.0057565025 0.004963536 0.0041984837 0.0054101613 0.005040041 0.0056127966 0.0037508246 0.004456947 0.0049573327 0.0031884075 0.004325648 0.0046337363 0.005047278 0.00375496 0.0049397573 0.0041550617 0.004344257 0.0031822044 0.004103369 0.003853176 0.0050731245 0.003348655 0.0031811707 0.0029237408 0.0041405875 0.0034520405 0.0037932126 0.003789077 0.0061617736 0.0038231944 0.0034892594 0.0030136863 0.004893234 0.0041705696 0.0038521423 0.0037208428 0.004728851 0.0038976318 0.003336249 0.003093293 0.0043680356 0.0037177412 0.003734283 0.003584374 0.005508377 0.003954494 0.0031025975 0.0028989282 0.0036794886 0.0030839883 0.002695259 0.002857574 0.004160231 0.0033300456 0.0035233765 0.0033393505 0.0040144576 0.003221491 0.0035006318 0.0034572098 0.0065949587 0.003946223 0.0036174573 0.0032297617 0.0041622985 0.0032266602 0.0035368167 0.0030808868 0.0050048903 0.0037849417 0.0037198088 0.0035864415 0.0041271476 0.0031263763 0.003547155 0.0034572098 0.00516307 0.0036215927 0.0036371006 0.0033331471 0.003932783 0.0033900093 0.0033672645 0.0035523244 0.0046461425 0.0036536423 0.003810788 0.0035151057 0.004107504 0.0033879415 0.0036867256 0.0037963141 0.0059095128 0.0036257282 0.0033445195 0.0029485533 0.0040144576 0.0030560743 0.0032752515 0.003036431 0.004962502 0.0031615274 0.0031904753 0.0030560743 0.003577137 0.002844134 0.003086056 0.0032049492 0.004500369 0.003292827 0.003221491 0.0031418842 0.0038924625 0.003326944 0.0032907592 0.0036277957 0.004615127 0.0032948947 0.003483056 0.0031563581 0.0040403036 0.0031956446 0.0034665144 0.0033465873 0.008641991 0.004586179 0.0040289313 0.0035295796 0.0043763067 0.0034292957 0.0030271262 0.0034034494 0.0045386218 0.0038304313 0.002957858 0.0031904753 0.0037229105 0.0028007121 0.0028534387 0.0029847382 0.005231304 0.0032163216 0.003483056 0.0030271262 0.0036681162 0.0031770351 0.003306267 0.003277319 0.0045427573 0.002844134 0.0030467694 0.002701462 0.0035161395 0.003221491 0.002986806 0.003150155 0.0050038565 0.0034096525 0.003271116 0.0027914075 0.0037704678 0.003008517 0.0030488372 0.0031894415 0.0041467906 0.0030023137 0.0031170717 0.0030188554 0.0036422699 0.0028327615 0.002921673 0.0030436679 0.0046699215 0.0031160377 0.0038376683 0.002852405 0.003568866 0.0031480873 0.0029878397 0.0031243085 0.004254312 0.0031480873 0.0033331471 0.0031739336 0.0036598453 0.00318634 0.0033228088 0.0033579597 0.0067055807 0.004053744 0.0037239443 0.0033445195 0.0041178428 0.0032442356 0.0033073009 0.0032307957 0.004330817 0.003336249 0.0031160377 0.0030891576 0.003648473 0.0029816367 0.0030819206 0.0027996784 0.00425121 0.0032762852 0.0030808868 0.0030033477 0.0037084364 0.003008517 0.0029382147 0.0029392487 0.003974137 0.003106733 0.002729376 0.0026570063 0.0035399182 0.0029557904 0.003590577 0.0028875559 0.0049594007 0.0032452696 0.0033889753 0.0029754336 0.0038066527 0.0030695144 0.0031966784 0.0028999622 0.0044393716 0.0054380754 0.0034665144 0.0031418842 0.0037952804 0.0030746835 0.003256642 0.003200814 0.004614093 0.003320741 0.003421025 0.0030591758 0.0037415198 0.0030808868 0.003314538 0.0032380326 0.00435046 0.0030343633 0.00318634 0.0028741157 0.0040134233 0.0030963945 0.0042470745 0.004507606 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045757596 0.0002920367 0.0002708071 0.00026718254 0.00030239264 0.00024025716 0.00032724682 0.00030187482 0.00033294258 0.00034795864 0.0003298358 0.0003541722 0.0005177956 0.00015689207 0.0001879598 0.00073889433 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09911126 0.062036574 0.0624622 0.055320248 0.060621955 0.05958015 0.054955717 0.054470025 0.060493026 0.05317709 0.052126482 0.05295858 0.056439202 0.05056274 0.05666341 0.053878184 4031.0 5.702307 22986.0 0.017184373 0.010397634 0.009353519 0.008657443 0.01348647 0.012485861 0.011789785 0.0115287565 0.012616375 0.009745062 0.0085704345 0.0086139385 0.013834508 0.010571652 0.01183329 0.010006091 0.016662316 0.011920299 0.008657443 0.0074828155 0.009788567 0.0086139385 0.0077873487 0.008309405 0.010267119 0.00843992 0.009614548 0.008831463 0.0115287565 0.008918473 0.009614548 0.00926651 0.018010963 0.01091969 0.010441138 0.009179501 0.01091969 0.008831463 0.010658662 0.00835291 0.014182546 0.011572261 0.009832072 0.0089619765 0.011441747 0.009353519 0.011615766 0.009571043 0.014748108 0.009571043 0.009962586 0.0089619765 0.012050814 0.009310015 0.009571043 0.009832072 0.013660489 0.00926651 0.010528147 0.009614548 0.011180718 0.009788567 0.010397634 0.010658662 0.018010963 0.010963195 0.009745062 0.008135387 0.013094927 0.0082223965 0.009353519 0.008309405 0.015400679 0.009310015 0.008874968 0.008657443 0.011311233 0.008135387 0.009875576 0.008048377 0.013138432 0.008004872 0.008700948 0.008700948 0.011441747 0.009440529 0.008091882 0.007961368 0.010876185 0.008918473 0.012007309 0.00852693 0.011441747 0.009048986 0.010136605 0.008787958 6.5547323 0.0 0.0 0.0 14.0 967254.0 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: 0.01663229 0.025107354 0.012957457 0.020696979 0.011200221 0.018595979 0.010235182 0.017218035 0.009442985 0.015974527 0.008983991 0.015152562 0.008293579 0.014250899 0.007878756 0.013589295 0.007507144 0.01316583 0.0073362216 0.012338104 0.007055832 0.012068277 0.006737033 0.011739875 0.00660356 0.011230949 0.0064239954 0.010800762 0.006225226 0.010476202 0.005803681 0.01023038 0.0059573194 0.009886615 0.005602031 0.009836683 0.0054781605 0.009682084 0.005339886 0.009201965 0.00515552 0.008964786 0.0050047627 0.008645027 0.0049471483 0.008348313 0.0047627827 0.008212919 0.004622588 0.008076565 0.0045313654 0.0077539254 0.004385409 0.007745283 0.0043508406 0.0074965814 0.0042941864 0.0072613233 0.0042624986 0.007115367 0.004086775 0.0068599433 0.0039206534 0.006838818 0.003980188 0.006797528 0.0038371128 0.0065315417 0.0038083056 0.006451842 0.0036844348 0.0062617147 0.0036901964 0.005907387 0.0034827848 0.0060312576 0.0034002042 0.00595924 0.0034040452 0.0058737784 0.0032888167 0.0055597806 0.0031611049 0.005554979 0.0031246159 0.005542496 0.0030938883 0.005215055 0.0031591845 0.0052092937 0.0029124033 0.0050787013 0.002967137 0.0050364505 0.0029460115 0.0049317847 0.0028221407 0.0048059933 0.002681946 0.0046725203 0.0026368147 0.0045640133 0.0026358545 0.004449745 0.002645457 0.0045083193 0.0025071825 0.004365244 0.002448608 0.0042557768 0.0024908585 0.0041779974 0.0023977153 0.0039849896 0.0023650674 0.0038006238 0.002395795 0.003882244 0.0021643774 0.0037602938 0.0022171906 0.0037276456 0.0020827572 0.0035951328 0.002081797 0.0036652302 0.0021739798 0.003652747 0.0020750752 0.003395403 0.0019675286 0.0032897769 0.0019627274 0.0033128227 0.0019857732 0.0031879917 0.0019041528 0.0031044509 0.001828294 0.0031947133 0.001784123 0.0030305125 0.0018119699 0.0029104827 0.0017111449 0.0029248863 0.0017505147 0.002771248 0.0016525703 0.0027030713 0.0015882344 0.0027366795 0.0014826081 0.0026742641 0.0015075743 0.0025657571 0.0015162166 0.0024630115 0.001397147 0.0024015564 0.0014643637 0.0022968904 0.0012867195 0.0023026518 0.0013865844 0.0023016916 0.0013837036 0.0022239122 0.0013059243 0.0021010018 0.0012147017 0.0020261032 0.0012262245 0.0019675286 0.00116765 0.0019243178 0.0012636738 0.0019396817 0.0010985128 0.0018474988 0.0011311609 0.0018033278 0.0010524213 0.001743793 0.0010111311 0.0016957811 0.0010245744 0.0016535306 0.0009996082 0.001635286 0.00094583485 0.0015373417 0.0009391132 0.001477807 0.00082292437 0.0013885048 0.0008440496 0.0013625784 0.0008517315 0.0012195029 0.00079315697 0.0012377474 0.00074898597 0.0012406281 0.0006817693 0.0012732762 0.0007336222 0.0011205983 0.0007758727 0.0012751967 0.0007105764 0.0010312961 0.0006462405 0.0010485804 0.0006068707 0.0009592782 0.00058766594 0.0010312961 0.0005886262 0.00091510726 0.00056846114 0.00089782296 0.00050316495 0.00081332197 0.0005290914 0.00081140146 0.0005022047 0.0006788886 0.00061743334 0.0007777931 0.00043402778 0.00068945123 0.0005963081 0.0007105764 0.0005070059 0.0005867057 0.00044651088 0.00062031404 0.00037449299 0.000539654 0.00040426038 0.0004964433 0.00034472562 0.00044074946 0.0003725725 0.00049836375 0.0003552882 0.00035048704 0.00027366795 0.0003600894 0.00025158247 0.0002323777 0.00020933198 0.0002746282 0.00018340554 0.00019876935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006444736 4.805918e-06 6.728285e-06 4.277267e-05 5.382628e-05 2.2587814e-05 0.00012639564 6.43993e-05 4.3253262e-06 9.611836e-07 1.4417753e-06 2.8835507e-06 2.8835507e-06 9.611836e-07 2.402959e-06 2.402959e-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 0.00051038846 6.968581e-05 6.776344e-05 6.1035156e-05 5.3345688e-05 3.8927934e-05 5.2384505e-05 3.0757874e-05 2.5951957e-05 2.162663e-05 1.6820712e-05 1.2014794e-05 7.6894685e-06 7.6894685e-06 4.3253262e-06 3.8447342e-06 0.00048155297 3.268024e-05 1.6820712e-05 5.2865096e-05 5.2865096e-05 3.0757874e-05 0.00011486144 6.247693e-05 1.7301305e-05 1.3937161e-05 1.5378937e-05 2.3548997e-05 1.4898345e-05 1.5378937e-05 2.3548997e-05 1.5378937e-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 0.22059643 0.14277805 0.112231635 0.09103994 0.07654962 0.064170055 0.05388347 0.045475036 0.03806239 0.031496543 0.025402639 0.020069513 0.014578271 0.01030629 0.005986732 0.0020977831 0.001076045 0.00053922395 0.00029412218 0.00019560085 0.00018454724 0.00023260643 0.00020953802 0.00027057316 0.00021434393 0.00017781896 0.00020088737 0.00040033297 0.00016772652 0.00023837353 0.00030277282 0.00021674689 0.0027614804 0.00237941 0.0024418868 0.0022515724 0.002219373 0.0023029959 0.0022746408 0.0020434763 0.0024279496 0.0021376722 0.0019454355 0.0018728662 0.0019588922 0.0023832547 0.003096453 0.002904216 11669.0 5.9010196 68859.0 0.012518334 0.02223384 0.0124312 0.021565808 0.011966482 0.021711033 0.011574376 0.019372921 0.01195196 0.01960528 0.010862778 0.01906795 0.011138704 0.01847253 0.010964435 0.018036857 0.010369015 0.01805138 0.009773595 0.01720908 0.009831685 0.016962199 0.009628371 0.016090853 0.009134608 0.015902061 0.009178176 0.015524478 0.0091636535 0.01548091 0.008640846 0.013622039 0.00878607 0.014159369 0.008059949 0.014609564 0.008118038 0.013897966 0.0075516636 0.013026619 0.008771548 0.013142799 0.007813067 0.013026619 0.007362872 0.012794261 0.0071014683 0.013288023 0.006622228 0.012329543 0.0072466927 0.011516287 0.0065786606 0.012024572 0.007130513 0.01135654 0.006665795 0.010891822 0.0062301224 0.010978957 0.0065060486 0.0107901655 0.0062156 0.009933342 0.0060413308 0.010020477 0.005808972 0.0104561495 0.005910629 0.010630419 0.005373299 0.009468624 0.005852539 0.01028188 0.0054749562 0.008815115 0.0054894784 0.009178176 0.0052571194 0.009047474 0.0054168664 0.008873205 0.005852539 0.008452054 0.0055911355 0.008698936 0.0044438634 0.008147083 0.0048359693 0.008074471 0.004632655 0.007929247 0.0042115045 0.0072466927 0.004226027 0.007696888 6.467634 0.0 0.0 0.0 11.0 1041408.0 155648.0 0.0 0.0 21.0 0.0 0.0 0.0 0.0 0.0 1160384300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.0 0.0 4.0 0.0 39424.0 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 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.758244 0.0 0.0 0.0 0.0 0.0 0.0 7.321507 0.0 0.0 1.0653625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.959385 0.0 0.0 2.774422 0.0 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 73728.0 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 -61440.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 703.0 78640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.19984016 0.0074752 0.0052498784 0.0042782594 0.0059394147 0.0036200655 0.003024557 0.0026171037 0.008744574 0.0022096504 0.0022409928 0.0022409928 0.005343906 0.002303678 0.0019902524 0.007302816 0.004497657 0.0019432387 0.0013163874 0.0017551833 0.0033849962 0.0072714738 0.0021469654 0.0016141417 0.0028678442 0.001629813 0.0018178684 0.0013634013 0.0021469654 0.0019432387 0.0021156226 0.001285045 0.0074752 0.00134773 0.0040431903 0.001739512 0.0042939307 0.003416339 0.0013163874 0.0015514566 0.002366363 0.0015671279 0.0014731003 0.0018962248 0.0020215951 0.0029462005 0.0036827505 0.001457429 0.004670041 0.0040745325 0.0034946953 0.0056886743 0.0032752973 0.0034946953 0.0023820344 0.0025387472 0.0034476814 0.005108837 0.00343201 0.0053282348 0.0031342558 0.0036043942 0.0026797887 0.0024603908 0.015592922 0.0023350206 0.001911896 0.003479024 0.003980505 0.0125997085 0.0044193007 0.0049677957 0.002303678 0.0022096504 0.001457429 0.0015201141 0.002805159 0.0050148093 0.0019275673 0.0014417577 0.008070709 0.0025074047 0.0021626365 0.0067543215 0.0023820344 0.003980505 0.00612747 0.0073184874 0.001911896 0.00257009 0.0015201141 0.0016924981 0.0020529376 0.0033223112 0.0023977058 0.0022409928 0.0018335397 0.0050774943 0.0020215951 0.003416339 0.0042312453 0.012364639 0.0059237434 0.0027894876 0.0076632556 0.006566266 0.007036404 0.001457429 0.006331197 0.0027268026 0.005343906 0.0059394147 0.004027519 0.0015044428 0.008023695 0.0068483492 0.013289245 0.012803435 0.0022096504 0.0027268026 0.002914858 0.002585761 0.001285045 0.0013007162 0.0020529376 0.003933491 0.0016768269 0.0017551833 0.0049207816 0.0049677957 0.0033849962 0.007647584 0.0032282835 0.005453605 0.0014260864 0.00195891 0.0028208303 0.007882654 0.0017551833 0.012223598 0.0015671279 0.005046152 0.0013007162 0.001629813 0.0012693736 0.0010969895 0.0011596747 0.0014417577 0.0019902524 0.0015984705 0.0012066885 0.0015044428 0.0018335397 0.0012066885 0.0015827992 0.00134773 0.0013320587 0.0012066885 0.001457429 0.0015827992 0.0018648822 0.0026171037 0.0018021971 0.0022253217 0.0020059238 0.001457429 0.0013947438 0.0017081695 0.0020686088 0.0015357854 0.0015201141 0.0013163874 0.0015201141 0.0018021971 0.0012693736 0.0015514566 0.002413377 0.0012223598 0.0008932629 0.0012693736 0.0016768269 0.0010343044 0.00195891 0.0021156226 0.00195891 0.0012066885 0.0013634013 0.0013947438 0.0020529376 0.0014104152 0.0018492109 0.0016768269 0.006958048 0.0037767782 0.002523076 0.0023977058 0.0022723356 0.0013947438 0.001911896 0.0032439549 0.0024603908 0.0024447197 0.0013790725 0.0014731003 0.0017865258 0.0012223598 0.0013163874 0.0013163874 0.0022723356 0.0013947438 0.0013320587 0.0015514566 0.0015357854 0.00097161933 0.0028365015 0.0014104152 0.0024917333 0.000955948 0.00079923525 0.001629813 0.0021156226 0.00134773 0.0012066885 0.0017081695 0.0024447197 0.0016141417 0.0015514566 0.0012066885 0.0021783079 0.0010969895 0.0014417577 0.0012380311 0.011220636 0.0041372175 0.0013634013 0.0041842316 0.0033223112 0.0012223598 0.0013163874 0.0014260864 0.0044193007 0.0015514566 0.0015984705 0.0015671279 0.0026797887 0.0015514566 0.0023820344 0.0021469654 0.0052342075 0.0018962248 0.0016454844 0.0020215951 0.0042469166 0.00195891 0.0024603908 0.035479777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013807953 8.8050714e-05 0.000144083 0.0014088114 0.00012807376 0.00010405994 8.0046106e-05 6.403688e-05 8.0046106e-05 7.20415e-05 7.20415e-05 7.20415e-05 6.403688e-05 5.6032273e-05 8.0046106e-05 7.20415e-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 0.012102971 9.605533e-05 5.6032273e-05 5.6032273e-05 0.0003762167 0.000144083 0.00042424435 0.00085649337 0.00085649337 0.0002241291 1.600922e-05 0.00013607838 0.00010405994 8.8050714e-05 3.201844e-05 0.0008244749 0.017434042 0.0 0.0034019595 0.0006883965 0.00077644724 0.00024814293 0.0065717855 0.0036661117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0326348 6.403688e-05 0.0038422132 0.0011126408 0.0040743467 0.00288166 0.0128474 0.0070440574 6.403688e-05 0.00019211066 0.0004482582 4.0023053e-05 6.403688e-05 8.0046106e-05 5.6032273e-05 0.00012807376 0.027936092 0.00038422132 0.0022172772 0.0023213371 0.0035700563 0.0026014985 0.013127562 0.007564357 0.0013447746 0.00042424435 0.0011446594 0.00023213371 0.00050429045 0.00024814293 0.00019211066 0.0017610143 0.009181288 0.00040823515 0.0005202997 0.005795338 0.001953125 0.0015849129 0.0063636657 0.0034259735 0.00040823515 0.00042424435 0.0007284196 0.00040823515 0.00038422132 0.00038422132 0.00040823515 0.00040823515 0.032522734 0.0020811989 0.002961706 0.009989754 0.0037461577 0.0028016136 0.0058673797 0.004546619 0.0024894339 0.0017129867 0.0040183146 0.0014888576 0.001977139 0.0014488345 0.0019451204 0.0023693647 0.0028416368 0.00033619365 0.0008965164 0.005259029 0.00044025359 0.0003041752 0.002753586 0.0017129867 0.00024013832 0.00020811988 0.00024814293 0.00023213371 0.00020811988 0.00018410604 0.00028016136 0.00024814293 0.026535284 0.004298476 0.0028256276 0.0036340933 0.009869685 0.0051309555 0.004362513 0.0064437115 0.011286501 0.00063236424 0.0017610143 0.0014728484 0.0053150617 0.0018650743 0.00411437 0.008813077 0.07312212 0.016529521 0.010862256 0.014528369 0.030193392 0.026935514 0.014944608 0.019507237 0.0362849 0.003578061 0.004810771 0.0066758455 0.015024655 0.0069800206 0.01991547 0.044369556 0.014848553 0.014384286 0.014528369 0.014280225 0.013327677 0.014656442 0.014024078 0.014304239 0.014744493 0.01500064 0.014112129 0.01439229 0.014248207 0.014128137 0.014056096 0.0144723365 434.0 12.709678 5516.0 0.009064539 0.0019941987 0.008883249 0.0018129079 0.0061638867 0.0014503263 0.00090645393 0.0023567802 0.0019941987 0.0030819434 0.0016316171 0.0027193618 0.0030819434 0.0061638867 0.007976795 0.0038071065 0.0123277735 0.014684554 0.0137781 0.011058738 0.01142132 0.008883249 0.0072516315 0.007795504 0.010152284 0.010696157 0.0074329223 0.008339376 0.010333575 0.01142132 0.010152284 0.007614213 0.002538071 0.0061638867 0.0039883973 0.011058738 0.010696157 0.01142132 0.009427121 0.010514866 0.0036258157 0.010333575 0.0030819434 0.0032632342 0.008701958 0.009427121 0.004350979 0.0048948512 0.013415518 0.0027193618 0.0056200144 0.0137781 0.006707759 0.0048948512 0.007795504 0.024836838 0.0019941987 0.002538071 0.0019941987 0.0029006526 0.0018129079 0.0014503263 0.0010877447 0.0019941987 0.0023567802 0.031000726 0.007976795 0.01831037 0.022661349 0.08393764 0.009064539 0.010152284 0.009970994 0.035714287 0.0036258157 0.0039883973 0.036983322 0.015591008 0.030456852 0.036983322 0.014321973 0.0023567802 0.0373459 0.03643945 0.05003626 0.016678752 0.0061638867 0.009970994 0.009427121 0.012146483 0.002538071 0.0016316171 0.0014503263 0.0019941987 0.0021754894 0.0010877447 5.9117336 0.0 0.0 0.0 1.0 63811.0 1499136.0 0.0 0.0 172.0 1.0 1.0 0.0 0.0 0.0 1330111200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 28160.0 1024.0 4096.0 6.0 1.0 0.0 1.0 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 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.241661 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5099373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4308603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.518795 0.0 4.7562914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1019904.0 -3890.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10850.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28078.0 0.0 2776.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 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 -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 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 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 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 1.0 1.0 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 -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 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 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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 39732.0 2776.0 1490944.0 0.0 0.0 0.0 0.0 2404.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.12937696 0.009408277 0.009600529 0.00551927 0.0070900465 0.0051002814 0.007164188 0.007005128 0.01100578 0.00472095 0.0035277808 0.0039558215 0.004769229 0.0024729813 0.0021699474 0.003968322 0.006347333 0.001791047 0.0014199059 0.001117303 0.0025471232 0.005194683 0.00065003586 0.00066382973 0.0022242607 0.0005267532 0.00059529144 0.0005185631 0.0016444873 0.0005215805 0.0004771815 0.00058322184 0.0070529752 0.0005577894 0.00062115496 0.00060261943 0.0033997565 0.0011448908 0.00049313065 0.00048106103 0.0014987896 0.00059744675 0.00050261396 0.0007996131 0.0019182093 0.0010698866 0.004705001 0.00041898864 0.0043631718 0.0023755622 0.0020958052 0.008198298 0.0030174078 0.0017720805 0.0018694997 0.0018018235 0.0029781815 0.0020871842 0.0024363413 0.0033997565 0.0029268856 0.0030807734 0.0018440672 0.0018401877 0.0053386567 0.0038588336 0.003047582 0.0058705825 0.0054252995 0.012295075 0.006608554 0.0012276539 0.002915247 0.0020841667 0.0007116772 0.001472064 0.003396308 0.0028398118 0.002205294 0.002366941 0.007607316 0.024736278 0.0037592591 0.008132776 0.0065740696 0.008962563 0.003610113 0.0033157002 0.0013979219 0.0035381261 0.002078994 0.0032204364 0.0011315279 0.0022031388 0.0025919534 0.0037752083 0.0011698921 0.013582646 0.002263918 0.003380359 0.010059606 0.016742302 0.0049231164 0.0036790823 0.007272384 0.010001845 0.0022634869 0.0022048631 0.008415981 0.00566583 0.010262204 0.012636904 0.006539154 0.00093841384 0.012342922 0.005787819 0.021245137 0.006399922 0.0014181817 0.0050627794 0.0024557388 0.0025954018 0.0016380214 0.0010737662 0.0014953411 0.001184117 0.0008703066 0.0019410554 0.0072068633 0.0007784912 0.00056253106 0.0060486095 0.0031687093 0.0032605247 0.00089272164 0.0005836529 0.0023846144 0.0067969267 0.0015436197 0.038592648 0.0009345343 0.00676158 0.00039096986 0.00055304775 0.0022548658 0.00048192314 0.00093237904 0.00063494884 0.0011388559 0.001242741 0.0004431279 0.00039829782 0.00093108584 0.00040217736 0.000325449 0.0006896932 0.00081470015 0.00038019338 0.0004379552 0.0013996462 0.00096212205 0.0018794141 0.00031984525 0.0006090853 0.00085737486 0.0006414147 0.00084142573 0.0003461398 0.0008922906 0.00057072117 0.0026359214 0.00049226853 0.00095694937 0.00040993642 0.00039959102 0.00037545175 0.0014293892 0.00054485764 0.0010845426 0.00063537987 0.00093022373 0.00063365564 0.00033838075 0.0004905443 0.0019953686 0.00090953294 0.0020669245 0.00069572806 0.0008841005 0.0033139759 0.0008030615 0.001723802 0.017534157 0.00058235973 0.0011009228 0.008409947 0.0024660844 0.00050649344 0.004423089 0.0016100026 0.0015500855 0.0009375517 0.00047976786 0.00052546 0.0010323846 0.00040131525 0.0006905553 0.0004224371 0.0026135063 0.000503045 0.001724233 0.0010789388 0.0013358495 0.00034527766 0.0011078197 0.00064788054 0.003529074 0.0005069245 0.0008405636 0.0017548382 0.0014414588 0.00055175455 0.0005577894 0.0005008897 0.0017768221 0.00040562582 0.0005836529 0.00037372753 0.0012923126 0.0008690135 0.00038277975 0.00036165788 0.01836696 0.0023031442 0.0006465874 0.004253683 0.0033342356 0.0008177175 0.0008978944 0.0010086764 0.004438607 0.0009647084 0.0016643159 0.0011901519 0.002922144 0.0008914285 0.0020091627 0.0015548272 0.004883028 0.0011871344 0.0014250786 0.0014487868 0.0070753903 0.0018669134 0.0028833488 0.08772984 0.0018116442 0.0 0.0 0.0 0.0 0.0 0.0 8.195533e-06 0.0 4.3134387e-06 0.0 5.60747e-06 0.0026411184 0.0 0.0 0.010105093 0.00296743 1.0783597e-06 1.9410475e-06 2.3723912e-06 7.5485177e-06 4.9604546e-06 1.013658e-05 2.7174663e-05 0.00013306958 1.897913e-05 0.0 2.6743319e-05 0.0016561447 0.0 0.0 0.0075099124 0.0020232184 1.7253755e-06 4.3134386e-07 4.3134386e-07 2.3723912e-06 3.6664228e-06 1.4234347e-05 0.00010050312 0.00012314867 2.2214208e-05 2.1567193e-07 6.707397e-05 0.00074687187 0.0 2.1567193e-07 0.003519119 0.0018806593 0.0 0.0 0.0 0.0 0.0 0.0 4.9604543e-05 0.00018849727 2.8900038e-05 0.0 0.00038324902 0.001325304 0.0 0.0 0.0018858353 0.008103873 4.0977666e-06 1.9410475e-06 1.9410475e-06 9.705237e-06 8.626877e-06 4.119334e-05 0.0002557869 0.00034076165 0.00018720323 2.1567193e-07 0.00022623985 0.001473255 2.1567193e-07 3.235079e-06 0.010101426 0.0057894974 6.470158e-07 3.0194071e-06 6.470158e-07 1.4018676e-05 9.273893e-06 4.2918713e-05 0.00036383854 0.00025319884 0.00022171074 4.3134386e-07 0.00061035156 0.0008189063 0.0 0.0 0.0068892087 0.007141976 0.0001567935 6.707397e-05 0.000112149406 0.00028296158 0.00021804433 3.0409743e-05 0.0011613934 0.0001574405 0.0005510418 8.60531e-05 0.0009877775 0.00013824571 2.5233616e-05 3.1919444e-05 0.005635939 0.012369648 0.0002020846 0.0012882084 0.0006668576 0.00055815896 0.0003058228 0.0038920157 0.0029005718 0.00062954635 0.00019928087 1.4450019e-05 0.00071344274 0.00066168146 2.027316e-05 2.5880632e-05 0.0024955398 0.007421271 0.00020661371 0.00027433468 0.00043457895 0.00083766977 0.00053529773 0.0026952522 0.0026128655 0.00057692244 6.1035156e-05 6.448591e-05 0.0009981297 0.00067483744 4.7447826e-05 6.7505316e-05 0.0010429894 0.009649593 0.0006336441 0.0017266695 0.001187921 0.005217751 0.0041180397 0.017857635 0.008944993 0.00041452146 8.928818e-05 0.00012508972 0.0001598129 0.00033946763 7.095606e-05 6.0819486e-05 0.0006405456 0.028785301 0.0014120041 0.005152618 0.0013020114 0.01865217 0.014273384 0.050216835 0.026214276 0.00051739695 0.0004341476 0.0025285378 0.0008126518 0.000573256 0.00061509636 0.0003105676 0.0010265984 0.020387683 0.0031250862 0.0025246555 0.024934264 0.004597694 0.006810704 0.010048371 0.006199921 0.0033228574 0.0019429884 0.0018381719 0.0019153825 0.0024209174 0.0022492425 0.0018782868 0.0034186158 0.014695022 0.0015841103 0.000955211 0.0015112133 0.0021841095 0.0065971888 0.005139031 0.0030250144 0.0016432045 0.000615312 0.0006815233 0.0009191938 0.00092631095 0.0013257354 0.0014501781 0.0022423412 0.03832339 0.0063060317 0.004820052 0.0050734663 0.010113504 0.018447284 0.009082807 0.007401861 0.024601482 0.003036445 0.0023892135 0.0037947476 0.008787337 0.004761389 0.011126947 0.023912841 0.05524307 0.013180574 0.009014655 0.01086167 0.019156843 0.035293203 0.0153789185 0.013675973 0.047560405 0.0054920856 0.00545499 0.0068587987 0.019482076 0.009911204 0.022717588 0.043756817 7.936727e-05 1.4234347e-05 2.7390335e-05 1.8116441e-05 2.7606007e-05 3.7526916e-05 1.4234347e-05 2.2214208e-05 4.91732e-05 1.0567925e-05 1.4018676e-05 1.03522525e-05 3.2566462e-05 2.5449288e-05 2.5449288e-05 3.342915e-05 46800.0 10.955363 512711.0 0.014795859 0.0002594054 0.0004954058 0.00096935703 0.0014901182 0.00043299247 0.00030816582 0.00046809996 0.0018255898 0.00088158826 0.0004232404 0.0002242979 0.0034951463 0.0025023844 0.019207701 0.0003900833 0.0054338602 0.0047102557 0.0035009976 0.008059121 0.0037896594 0.0028905172 0.0032142864 0.0029607322 0.004251908 0.0035107497 0.004503512 0.0032669476 0.0042441064 0.0034678406 0.0027481369 0.0028300544 0.0012814236 0.0150240585 0.0103489105 0.015737912 0.017124657 0.0074720457 0.023496667 0.0022371276 0.0073764753 0.0068752184 0.0011702499 0.004097825 0.008402394 0.006013134 0.0064422255 0.007860178 0.012000913 0.0050905873 0.011209044 0.019978117 0.021320002 0.012903956 0.0039222874 0.0077821617 0.0015037712 0.0018099865 0.0017807303 0.0015466803 0.0015252257 0.0013145807 0.0015720357 0.012273971 0.0010571257 0.05609008 0.008478461 0.012722567 0.024013529 0.06723866 0.009346396 0.014286801 0.015419993 0.041444402 0.0007743154 0.008197601 0.033461347 0.02285498 0.042302582 0.050833706 0.021343408 0.0030172945 0.05169579 0.0210684 0.06820802 0.0129566165 0.004017858 0.017501088 0.0051120417 0.009258627 0.0049326033 0.00017163665 0.0011917045 0.00020479373 0.00028085997 0.00047005038 5.614074 0.0 1.0 0.0 2.0 2319872.0 2342912.0 0.0 0.0 19.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1391104.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -106496.0 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 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1391104.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 790016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.623968 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.384064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.320649 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.638475 0.0 0.0 0.0 0.0 0.0 0.0 -5.0733185 5.4199753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 -106124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 57.0 0.0 4309.0 0.0 0.0 0.0 0.0 0.0 -18052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1390980.0 0.0 0.0 0.0 0.0 0.0 0.0 -12084.0 790016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12084.0 1425408.0 790016.0 1552384.0 0.0 0.0 0.0 0.0 106124.0 1445888.0 0.0 0.0 33.0 1441816.0 0.0 0.0 24.0 1441792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.37307614 0.0029827328 0.002409193 0.0026624284 0.0036778096 0.0029266388 0.0028823328 0.002141324 0.0031282518 0.0020754747 0.0020600287 0.0021575831 0.0027173029 0.0020596222 0.00199987 0.0032168638 0.0025876365 0.0020319817 0.0019775135 0.0019482473 0.0022709905 0.0020901079 0.0020421436 0.0019429631 0.0021364463 0.002005154 0.0019388982 0.0019433695 0.002124252 0.0019514991 0.0019486537 0.0020311687 0.0024595961 0.0019600352 0.0019425566 0.0020421436 0.0022250586 0.0020531185 0.0019055671 0.0019246716 0.0021014893 0.0019815785 0.0019441824 0.002461222 0.0020116577 0.002105554 0.0019295493 0.001898657 0.0021014893 0.0020413306 0.0019933663 0.002525852 0.0020425501 0.0019819848 0.0019462149 0.0019181679 0.002016129 0.0021527056 0.0019571898 0.0023575702 0.002024665 0.002044176 0.0019665388 0.0019953987 0.002553086 0.002423013 0.002226278 0.0031603635 0.0025051215 0.003850156 0.0022421307 0.0021372593 0.0020852303 0.002051899 0.0020149096 0.0019047542 0.0019697906 0.0032481628 0.03395267 0.0021970116 0.018374415 0.0021396982 0.0019275169 0.002298631 0.0021616481 0.0032217416 0.0024896755 0.0022896884 0.0020002765 0.0022998503 0.0019588156 0.0020677517 0.001953125 0.0025425176 0.0022539184 0.0022006698 0.002024665 0.0022006698 0.0019754812 0.0021153095 0.0021498601 0.002564061 0.0022722099 0.0020319817 0.0022754618 0.0021527056 0.0023848042 0.0019925532 0.0021787202 0.002077507 0.0022559508 0.0022848106 0.0021197808 0.001953938 0.002453499 0.0022758683 0.0031603635 0.0032579182 0.0020941726 0.0020498666 0.0020482407 0.0021197808 0.0019519055 0.0019563767 0.0020088125 0.0022779007 0.0020189744 0.0019949921 0.0022880626 0.002097831 0.0019673517 0.0032148315 0.0022018894 0.002643324 0.0020031217 0.0019929598 0.0022140837 0.0037273997 0.0020067801 0.006448361 0.001988895 0.002751447 0.0019344271 0.0019454019 0.0019815785 0.0019746684 0.00189947 0.00197792 0.0020149096 0.0019823913 0.001943776 0.001944589 0.002027917 0.0018949987 0.0019738553 0.0019348335 0.0020197874 0.0019116643 0.0019815785 0.0019193874 0.0020848238 0.0019433695 0.0018974376 0.0019596287 0.0020705971 0.0019425566 0.0018693906 0.0019677582 0.0021149032 0.001960848 0.00190638 0.0019092254 0.0020701906 0.0019035348 0.0019104448 0.0018880885 0.0021222197 0.0019490602 0.0018771137 0.0019189809 0.002052712 0.0019953987 0.002198231 0.0023470018 0.0021925403 0.0019218263 0.0019393048 0.00189947 0.0020787267 0.0019689777 0.0019600352 0.0019051606 0.002923387 0.0023547248 0.0022819655 0.0024372397 0.002110432 0.0018905274 0.0021953858 0.002308793 0.0022774942 0.0021705905 0.0020429567 0.0019819848 0.0023661063 0.0018966246 0.0021197808 0.001971823 0.0022303427 0.002027104 0.002046615 0.0020685648 0.002160022 0.0018836174 0.0020181614 0.0021714035 0.002217742 0.0020291363 0.001880772 0.002082385 0.002160835 0.0020616546 0.0019738553 0.001926704 0.0022864367 0.001953125 0.0020031217 0.0019104448 0.00220758 0.0021506732 0.0018897145 0.0019262974 0.0038404006 0.002153112 0.0019677582 0.002560809 0.0026148707 0.0019002829 0.001960848 0.0019527185 0.0025579636 0.0021128708 0.001925078 0.0019953987 0.0021738424 0.0019433695 0.0021693711 0.0021197808 0.002388869 0.0020514927 0.0020177548 0.0019425566 0.0024250455 0.0020421436 0.0023868366 0.023127764 0.012078301 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022797305 2.2370236e-06 2.4403894e-06 6.3043394e-06 9.8022305e-05 4.6977497e-05 2.2370236e-06 2.2370236e-06 3.660584e-06 3.0504868e-06 1.830292e-06 1.6269263e-06 1.830292e-06 2.033658e-06 2.033658e-06 4.2706815e-05 0.00070242543 1.6269263e-06 1.4235605e-06 1.016829e-06 2.5013991e-05 9.354826e-06 3.0504868e-06 3.86395e-06 3.0504868e-06 6.1009735e-07 6.1009735e-07 1.4235605e-06 4.4740473e-06 1.016829e-06 1.6269263e-06 7.239822e-05 0.00067131047 1.159185e-05 1.159185e-05 2.4403894e-06 2.4403895e-05 1.301541e-05 6.711071e-06 6.711071e-06 2.847121e-06 6.1009735e-07 3.4572183e-06 4.0673157e-07 1.016829e-06 2.6437551e-06 1.4235605e-06 7.280495e-05 0.0008207843 0.0 0.0 0.0 0.00021800812 0.000104530016 0.0 0.0 0.0 0.0 0.0 0.0 1.6269263e-06 0.0 0.0 0.000104530016 0.0035641887 3.5995745e-05 7.056793e-05 1.2608679e-05 0.021965131 0.010872952 0.00010168289 6.650061e-05 3.436882e-05 3.335199e-05 1.52524335e-05 2.2980334e-05 1.9726482e-05 1.4642336e-05 2.3793797e-05 0.011042966 0.009349742 9.781894e-05 0.00014642336 3.6809208e-05 0.009237687 0.004328844 0.0002472928 0.0001706239 2.1963504e-05 4.1689986e-05 2.0539945e-05 1.7489458e-05 7.626217e-05 2.8267845e-05 3.4165452e-05 0.004882406 0.002153237 3.9249597e-05 0.000101072794 3.9249597e-05 0.0008903354 0.0003916825 0.000154558 0.00010493674 3.7826037e-05 4.63674e-05 2.0336578e-05 2.176014e-05 3.0504867e-05 1.7692822e-05 5.307847e-05 0.0004795365 0.0019427533 6.18232e-05 0.00018567297 5.7755882e-05 0.00068493595 0.0002704765 0.001092481 0.0006056233 8.012612e-05 2.4200528e-05 2.4403895e-05 8.846412e-05 6.345013e-05 2.7454382e-05 3.2131793e-05 0.00017265756 0.0017255587 4.7994326e-05 0.0001539479 7.382178e-05 0.00038131085 0.000129544 0.0006519907 0.00037439642 0.00011022425 8.744729e-05 4.107989e-05 9.639538e-05 8.7854016e-05 6.4263586e-05 5.8162615e-05 8.0939586e-05 0.027517628 0.0018514422 0.0019563788 0.0018910985 0.002010881 0.0018965893 0.002159338 0.0020041699 0.0018648643 0.0018282584 0.0018717786 0.0018671013 0.001869135 0.0019024869 0.0018453412 0.0018900816 0.2931717 0.023153601 0.023051918 0.02314689 0.023391133 0.02298318 0.023272367 0.023059037 0.023158686 0.02312086 0.022997214 0.023044191 0.022972606 0.023180243 0.023117403 0.023328902 0.046793856 0.005153899 0.0047670975 0.005069299 0.0062715975 0.006523364 0.0048055337 0.005669635 0.008464897 0.004402666 0.004411207 0.0045643416 0.006033863 0.0046814806 0.0060731126 0.007509485 0.007998986 0.0013700753 0.001299304 0.001520566 0.0040990408 0.0034088173 0.0012517164 0.0025255997 0.0064818775 0.0005614929 0.0007898727 0.0014390163 0.0030102204 0.0018644575 0.0028601363 0.004500078 0.0012710361 0.0011528806 0.0012057557 0.0012232452 0.0011921303 0.0012002649 0.0011998581 0.0011660994 0.001184199 0.001251513 0.0012191779 0.0011793182 0.0011766744 0.0011717937 0.0011905034 0.0011742341 1801.0 10.036646 18076.0 0.022073468 0.0034852843 0.0035406062 0.0035959282 0.0049789776 0.0036512504 0.0036512504 0.0052002654 0.0050896215 0.0037065723 0.0033746404 0.0031533525 0.004425758 0.0049236557 0.008187653 0.0030980306 0.0056981635 0.003983182 0.0048683337 0.003983182 0.004536402 0.0033746404 0.0049236557 0.0037065723 0.0037065723 0.005587519 0.004259792 0.0067492807 0.0027660986 0.0038172163 0.0041491482 0.009294092 0.027439699 0.012226156 0.005642841 0.012890019 0.006527993 0.006417349 0.008077009 0.0082982965 0.0068046027 0.006583315 0.0040938263 0.0034852843 0.0053662313 0.005476875 0.013498561 0.01709449 0.014273069 0.004536402 0.004536402 0.010013278 0.009183448 0.004647046 0.012060191 0.008630228 0.0050342996 0.0049236557 0.0034852843 0.0054215533 0.0037618943 0.004536402 0.0036512504 0.013664528 0.0059747733 0.033746403 0.008740872 0.031533524 0.023456518 0.06467139 0.0071365344 0.009349413 0.01095375 0.029320646 0.0056981635 0.006472671 0.026775835 0.010677141 0.03590396 0.044589512 0.013941137 0.0032639964 0.048793983 0.02633326 0.047244966 0.020690419 0.008077009 0.0052555874 0.009404736 0.014162425 0.004259792 0.0028767427 0.004259792 0.0037618943 0.005587519 0.0032639964 5.9972773 0.0 0.0 0.0 12.0 2460160.0 12111872.0 0.0 0.0 110.0 0.0 1.0 0.0 0.0 0.0 1468448400.0 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 12.0 0.0 5.0 10.0 5.0 0.0 224256.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 44544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 -1979392.0 0.0 0.0 0.0 0.0 0.0 -224256.0 0.0 201216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7616353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.521875 0.0 0.0 -5.656912 0.0 0.0 0.0 0.0 0.0 -6.7148705 0.0 2.075685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 44250.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9647616.0 0.0 0.0 -1980688.0 0.0 0.0 0.0 0.0 0.0 -223937.0 0.0 201168.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 -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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 60.0 270884.0 201168.0 11907072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 256456.0 0.0 0.0 448.0 229376.0 0.0 0.0 0.0 0.0