Input: 0.021441448 0.004089579 0.003927713 0.0038821043 0.0040260847 0.0037569038 0.0038454384 0.0038579584 0.0039581186 0.003949176 0.0038382842 0.0036630037 0.0038490156 0.003832024 0.0038257642 0.0038239756 0.003800724 0.0037953584 0.0038499099 0.0037112953 0.0037157666 0.0038955186 0.003676418 0.003688938 0.0038329184 0.0036799952 0.003813244 0.0038463327 0.0037658468 0.003589672 0.0037318638 0.0037488553 0.004338191 0.0037765782 0.0037810497 0.0038829986 0.0038239756 0.003933973 0.0038087727 0.0037238153 0.003745278 0.0037613753 0.0038552757 0.0037613753 0.003773001 0.0036406463 0.0037676354 0.0037300752 0.0038043011 0.0038311298 0.003806984 0.003788204 0.00386869 0.0037148723 0.0045063174 0.0037497496 0.0037300752 0.0038275525 0.003732758 0.0037917811 0.0037899925 0.0037828384 0.0039330786 0.0038257642 0.0039384444 0.0038883642 0.0037828384 0.0037560095 0.0038606413 0.003934867 0.0038159268 0.0037649525 0.0037622696 0.0038123499 0.0037917811 0.003781944 0.0038364956 0.0038382842 0.003813244 0.0037864153 0.004602006 0.0038373899 0.0037068238 0.0038400728 0.0038669014 0.003934867 0.0038391785 0.0037533268 0.0037515382 0.003797147 0.0044517657 0.0038105613 0.0037309695 0.003819504 0.0037837327 0.0036925152 0.0036880437 0.0040511247 0.0038418612 0.0038883642 0.0038588527 0.0043194112 0.0037774725 0.0038946243 0.0046994835 0.004059173 0.003847227 0.0037953584 0.004019825 0.0038731613 0.0039232415 0.0040412876 0.003974216 0.0037309695 0.004044865 0.0039786873 0.004069905 0.0039572245 0.0037712124 0.0038776328 0.0039080386 0.0038311298 0.0037050352 0.0037676354 0.003747961 0.0037828384 0.0038749499 0.0037032466 0.004069905 0.0038490156 0.0037408068 0.003909827 0.0037586924 0.0037792611 0.0037595867 0.003794464 0.003832024 0.0038087727 0.003866007 0.004163805 0.0037810497 0.0038105613 0.0037112953 0.0038177154 0.0037130837 0.0036263377 0.0036719465 0.003716661 0.0036594265 0.0037595867 0.0036701579 0.003648695 0.0036719465 0.0036960924 0.0037569038 0.0038740556 0.0037810497 0.0038266585 0.0037211324 0.003663898 0.003878527 0.0038043011 0.0038016182 0.003781944 0.0037560095 0.0037086124 0.0037560095 0.003781944 0.0037676354 0.0037023523 0.0036755237 0.0037560095 0.0037434895 0.0037408068 0.0038302355 0.0037112953 0.0038642185 0.0036844665 0.0037560095 0.004431197 0.0037801554 0.0038043011 0.003738124 0.0037783668 0.0037595867 0.0037175552 0.0036799952 0.003698775 0.003673735 0.0037721067 0.0045948518 0.0037542211 0.003974216 0.0036996694 0.0037774725 0.003757798 0.004613632 0.0037917811 0.003732758 0.0037676354 0.0037953584 0.003853487 0.0037059295 0.0037747896 0.0038025125 0.0037470667 0.0038266585 0.0037792611 0.0037220267 0.003785521 0.003832024 0.003688938 0.0038186098 0.0036817838 0.0037542211 0.003747961 0.0037810497 0.0036808895 0.0036773123 0.0037023523 0.003691621 0.0037738953 0.0037515382 0.0037837327 0.0037864153 0.0037667411 0.0037551154 0.0037837327 0.003819504 0.0037542211 0.0037980413 0.0038177154 0.0038579584 0.0037264982 0.0037425952 0.0037586924 0.0037157666 0.0037175552 0.0037962527 0.0036647923 0.0038454384 0.0037497496 0.0036630037 0.0037586924 0.0037595867 0.003741701 0.003695198 0.0037649525 0.0037273923 0.004576966 0.003741701 0.0037309695 0.0038311298 0.0037425952 0.003757798 0.0077990857 0.0018331805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00081052 1.74546e-05 5.3706462e-06 3.132877e-06 4.0279847e-06 4.0279847e-06 3.5804308e-06 1.16364e-05 3.4014094e-05 3.132877e-06 3.132877e-06 3.132877e-06 3.132877e-06 3.5804308e-06 3.132877e-06 3.5804308e-06 0.0015552497 2.32728e-05 3.2223877e-05 4.162251e-05 1.4769277e-05 1.2083954e-05 3.0433663e-05 2.32728e-05 9.846185e-06 4.0279847e-06 4.4755384e-06 9.846185e-06 9.846185e-06 1.3426616e-05 4.0727402e-05 8.055969e-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 0.0010839754 1.387417e-05 7.3846386e-05 2.8643446e-05 2.9091001e-05 9.398631e-06 0.00015172076 8.861566e-05 1.6559492e-05 2.6853231e-06 8.951077e-07 4.4755384e-07 1.07412925e-05 0.0 4.4755384e-06 0.00031821078 0.004996491 0.00010338494 0.00058540044 0.00012621019 0.00014366479 5.1916246e-05 0.0014066617 0.0006543237 7.608416e-05 6.265754e-06 4.9230925e-06 2.6853231e-06 4.6993155e-05 4.4755384e-07 2.4167908e-05 0.0009362827 0.0005751067 2.4615461e-05 9.846185e-06 4.3860276e-05 6.265754e-06 3.132877e-06 5.8182e-06 1.8349709e-05 2.1482585e-05 3.132877e-06 3.5804308e-06 5.3706462e-06 2.4615461e-05 1.2083954e-05 3.2671433e-05 0.00012665775 0.0019343278 5.7286892e-05 7.653171e-05 7.429394e-05 0.00017096558 7.2951276e-05 0.0003763928 0.00020453212 0.00014142702 2.551057e-05 1.6111939e-05 1.6559492e-05 2.7300784e-05 1.74546e-05 2.4615461e-05 0.00043009926 0.00097119185 4.430783e-05 6.310509e-05 0.00040011315 8.2797465e-05 0.00074831006 0.00039698026 4.5202938e-05 8.772055e-05 3.7594524e-05 4.430783e-05 0.0007245897 0.0003857914 2.774834e-05 4.162251e-05 0.00048156796 0.001146633 7.205617e-05 7.653171e-05 0.00010607026 0.00019065794 0.00011188846 0.0003123926 0.00015351098 7.608416e-05 5.4154018e-05 4.2517615e-05 4.162251e-05 4.5650493e-05 4.0727402e-05 4.3412725e-05 0.00023586088 0.0015431657 0.00013426616 0.00015664384 0.00024794484 0.00012934307 0.00034193115 0.00025779102 0.0001579865 0.0001570914 0.00012844795 0.00012979061 0.00036028086 0.00023899376 0.00013337105 0.00012441997 0.0003414836 0.0016474457 0.0002103503 0.0002027419 0.00031463036 0.00042920414 0.00049991766 0.00036699415 0.00028732957 0.00051155407 0.0001338186 0.00013918924 0.00030970728 0.0003298472 0.00011949688 0.00020587478 0.0007080302 0.0015807602 0.00050484075 0.0005343793 0.0007098204 0.0007787437 0.0010830803 0.00076889753 0.0007044498 0.00093807286 0.00047888263 0.00048067284 0.00067625387 0.00064716284 0.0003101548 0.0003540151 0.002282077 0.059610594 0.05895045 0.059288353 0.059408747 0.059196606 0.059300885 0.05950139 0.059386816 0.059414115 0.058602702 0.05935504 0.059355933 0.059655346 0.059224352 0.05937921 0.05904041 5093.0 5.866483 29878.0 0.011948591 0.009672669 0.010810629 0.010342058 0.010743691 0.010743691 0.0094049135 0.009806546 0.009672669 0.009471852 0.009940424 0.01020818 0.009840016 0.009237566 0.010743691 0.010342058 0.009739608 0.00957226 0.00960573 0.011078386 0.0104424665 0.008969811 0.008133074 0.010375527 0.009873485 0.009371444 0.009538791 0.009538791 0.010743691 0.00903675 0.010676752 0.010040833 0.01017471 0.01261798 0.009906955 0.010375527 0.010007363 0.010509405 0.010743691 0.010609813 0.009906955 0.010475935 0.01020818 0.009940424 0.010007363 0.011111855 0.010342058 0.009706139 0.009840016 0.010141241 0.010542874 0.010509405 0.009873485 0.009940424 0.010342058 0.010141241 0.009271036 0.009906955 0.010007363 0.009873485 0.009672669 0.010074303 0.009906955 0.008869402 0.009471852 0.012919204 0.008969811 0.0118147135 0.0118147135 0.016902069 0.010241649 0.010007363 0.010375527 0.013655532 0.010308588 0.009840016 0.013622063 0.009906955 0.0128522655 0.0131869605 0.011145324 0.010241649 0.013287368 0.01198206 0.013387777 0.011613896 0.009337975 0.0104424665 0.01017471 0.009471852 0.009538791 0.008835933 0.01017471 0.010074303 0.0096392 0.009538791 6.574941 1.0 0.0 0.0 17.0 1118208.0 4325376.0 0.0 0.0 21.0 0.0 1.0 0.0 0.0 0.0 1277802500.0 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 6.0 0.0 4.0 0.0 4.0 0.0 0.0 4096.0 4096.0 8.0 0.0 0.0 8.0 8.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 -176128.0 0.0 0.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 -77824.0 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 0.0 0.0 -761856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.155648 0.0 0.0 0.0 0.0 0.0 0.0 -7.9904995 0.0 0.0 12.535839 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8597417 -7.9965672 0.0 0.0 0.0 0.0 0.0 7.980338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9995594 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 31990.0 0.0 0.0 0.0 0.0 0.0 0.0 -524762.0 0.0 0.0 75829.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1754580.0 -94208.0 0.0 0.0 0.0 0.0 0.0 28944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1796700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4291372.0 31990.0 4087808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 92.0 4288512.0 96.0 2318708.0 0.0 0.0


Input: 0.15787223 0.006537438 0.008970232 0.014901751 0.01206366 0.013809476 0.013850005 0.018508893 0.01798302 0.006952867 0.011908634 0.0049881907 0.010204361 0.0015077041 0.0008865868 0.0015826841 0.0032707453 0.0014509626 0.00073156075 0.00076905073 0.0009950037 0.0018522065 0.0011561092 0.00051067397 0.00091698405 0.00034956852 0.00036476715 0.0002958667 0.00078627584 0.0011115265 0.00040327033 0.00026445618 0.0023284303 0.00045190597 0.00048534296 0.0004559589 0.0019221202 0.0009271165 0.0010314804 0.00030093288 0.00070319 0.0002958667 0.0006687398 0.008828378 0.0008572028 0.00031714476 0.0007943818 0.001009189 0.0047855424 0.010225639 0.0023385626 0.0016981937 0.00077006395 0.00071534887 0.00055019045 0.0020366164 0.0019869676 0.0010081759 0.0009473813 0.000991964 0.00040327033 0.00082579226 0.0012361553 0.0003252507 0.0038513332 0.0013384927 0.00041340277 0.0013212677 0.0021754308 0.002971839 0.0016313198 0.0006727927 0.0008136334 0.0009514343 0.00023912513 0.00037287307 0.00082781876 0.001364837 0.00082275254 0.0017194718 0.0032585864 0.0008774676 0.0007568918 0.0020497886 0.00078728906 0.0045271656 0.018393382 0.002188603 0.00069913705 0.0009392754 0.000573495 0.0011844799 0.013067783 0.0028401176 0.0015127704 0.0017397366 0.0009392754 0.0026769855 0.008915517 0.0031461166 0.002054855 0.0042870273 0.00214706 0.0011976521 0.0031288916 0.0031217989 0.0017853325 0.00086328224 0.0019717691 0.0013820622 0.0024125294 0.0032028581 0.001804584 0.0007346005 0.003303169 0.0026344294 0.0055677653 0.0033791622 0.0010183082 0.0010598511 0.0009899375 0.0012128508 0.009333986 0.0024429266 0.0010821425 0.0010142553 0.0010375598 0.00062213064 0.08998603 0.088326335 0.0016931274 0.002636456 0.0011652283 0.0020224312 0.0047977013 0.014748751 0.0016688097 0.0025503302 0.0005755215 0.0061969883 0.0007568918 0.0032241363 0.0007254813 0.0005491772 0.0008501101 0.000540058 0.00052789913 0.0005927466 0.0007102827 0.0005633626 0.0010568114 0.0005613361 0.0006910311 0.000828832 0.00052688585 0.0004650781 0.00066063384 0.00049750187 0.0017600014 0.0006707662 0.0007295343 0.0008886133 0.0008308585 0.0007589183 0.012369659 0.01751693 0.0016100416 0.0006170644 0.0007427064 0.0006150379 0.0020122987 0.016679991 0.01795161 0.001846127 0.0009301562 0.00062517036 0.0009129311 0.0006657 0.004657874 0.0021815102 0.000636316 0.00056437583 0.00058565394 0.0007416932 0.00088354707 0.0005532302 0.00056538905 0.0005947731 0.000610985 0.00051168725 0.00062010414 0.0005380315 0.0030458057 0.0010152685 0.0012270361 0.0011672549 0.00086429546 0.00049040915 0.0008338982 0.0011733343 0.0010041229 0.0011601622 0.000610985 0.0005218197 0.0013476119 0.0005025681 0.0006657 0.00095447403 0.0033974007 0.002046749 0.0005420845 0.00049750187 0.0005390448 0.000447853 0.0046051852 0.01608927 0.00065962056 0.00041137627 0.0004073233 0.00050966075 0.0005228329 0.00034348905 0.00054107123 0.00041238952 0.0009149576 0.00077006395 0.0003799658 0.00038401873 0.0005998393 0.0003566612 0.00043062787 0.0004579854 0.0026192307 0.00073865347 0.00039820414 0.0011348311 0.0011409106 0.0003830055 0.00044177353 0.000610985 0.0011287517 0.00060794526 0.0007822229 0.00065455434 0.0006515146 0.0003566612 0.000795395 0.000636316 0.0010831557 0.00046710458 0.00030498585 0.00036476715 0.0012533804 0.00033335664 0.0005572831 0.07669432 0.019676922 2.5378444e-05 4.060551e-06 7.613533e-06 4.56812e-06 5.0756887e-07 5.0756885e-06 4.060551e-06 2.0302755e-06 9.643809e-06 5.5832575e-06 1.0151377e-06 1.5227066e-06 1.0151377e-06 5.0756887e-07 1.0151377e-06 0.0068806037 0.0001451647 1.6242204e-05 1.2689222e-05 4.1620646e-05 2.233303e-05 9.13624e-06 1.0151377e-06 2.7916287e-05 2.5378442e-06 1.5227066e-06 1.0151377e-06 3.552982e-06 3.0454132e-06 2.0302755e-06 0.00010608189 0.017900432 0.00031317 0.00011927868 6.4968815e-05 0.0006456276 0.00045782712 3.959037e-05 2.8931425e-05 0.000118263546 1.1674084e-05 7.105964e-06 2.0302755e-06 6.0908264e-06 3.552982e-06 2.0302755e-06 2.9946563e-05 0.010624939 0.0006212643 0.00028170072 5.684771e-05 0.000224853 0.00018323236 7.156721e-05 9.034726e-05 7.715047e-05 2.233303e-05 3.0454132e-05 4.6696336e-05 2.7916287e-05 2.740872e-05 2.6393582e-05 6.0908264e-05 0.014190103 0.00029591264 0.00051772024 0.00036951015 0.0006111129 0.0017734456 0.0004857434 0.0025109432 0.02977602 0.00029692778 0.004905653 3.3499546e-05 0.00020810323 3.1976837e-05 2.4870875e-05 0.000101513775 0.009296124 0.0001710507 0.00078013336 0.0002882991 0.00068877096 0.0040874523 0.000505031 0.002878423 0.051454287 0.0003405787 0.0117654465 0.000104051614 0.00024515577 0.00035276037 5.7355282e-05 0.0001451647 0.027152397 0.0003471771 0.0010039712 0.0027439173 0.0008704806 0.0048792595 0.006178128 0.0017754759 0.026749894 0.00015277823 0.0076318053 0.00021419406 0.0001842475 0.0009212375 7.308992e-05 0.0064400337 0.048490085 0.00067100604 0.0016932498 0.00091007096 0.001164363 0.0057152254 0.005869019 0.0075952606 0.03545825 0.00031063214 0.017069034 0.0029545585 0.0014511393 0.00943469 0.001828263 0.022586815 0.07698906 0.001330338 0.004434122 0.004123997 0.0017404536 0.008922553 0.0036164282 0.004233632 0.03262957 0.0054558576 0.021031115 0.006324308 0.004170186 0.009470727 0.00243227 0.037627604 0.014017022 0.00057253765 0.0026484944 0.004790435 0.0019551553 0.008803782 0.008460158 0.0040483694 0.018250147 0.0009273283 0.0075318143 0.0014252533 0.00078571663 0.004711254 0.00026850394 0.0029246118 0.011575108 0.0005593409 0.0025038372 0.0072622956 0.0012547103 0.0076252073 0.006052251 0.0024307473 0.008132269 0.0006715136 0.0027479779 0.001223241 0.00072785374 0.0032560544 0.00043092598 0.0017587261 0.005531993 0.00044869087 0.0007283613 0.0005446214 0.0008923061 0.00066136225 0.0016074706 0.0010303648 0.00040351725 0.00035276037 0.00024414062 0.00016597501 0.00018475507 0.00015836148 0.00021622433 0.00034260898 0.0038488947 0.00041772917 0.0004776223 0.00039691885 0.00060096156 0.00055832573 0.0009055029 0.0006019767 0.0009405251 0.00052279595 0.0004025021 0.00017714154 0.00034819223 0.00033042734 0.00029540507 0.0006095902 0.0139150005 0.0029027862 0.0017851198 0.0024302397 0.0037341842 0.004115876 0.0024738905 0.0030428753 0.007354673 0.0005385306 0.00078774686 0.0008451022 0.0029484676 0.00092631317 0.002085093 0.0052076564 0.021029085 0.00578527 0.003773267 0.0059070867 0.006609562 0.007185145 0.005821307 0.0061908173 0.010163051 0.0015836149 0.0023383698 0.0020008364 0.0049924473 0.0020830627 0.003725048 0.008525127 0.0012816114 0.0005420835 0.0005542652 0.0008796168 0.0004126535 0.0004354941 0.0010496525 0.00075120194 0.00040554753 0.00027916286 0.00031976838 0.00027916286 0.00028119315 0.00026799637 0.00026444337 0.00031215485 5036.0 15.616363 78644.0 0.008532119 0.0009663801 0.0017165963 0.0012588373 0.0023778037 0.0016148721 0.00038146586 0.00057219877 0.0010553888 0.0011443975 0.0025939678 0.07748843 0.0035094859 0.0009409491 0.00469203 0.002187071 0.010299578 0.10912466 0.020688165 0.002187071 0.0014368547 0.0007247851 0.0009663801 0.017102385 0.0143431155 0.002021769 0.0010808199 0.0007502162 0.0008265093 0.0030517268 0.00926962 0.0013096994 0.0040053916 0.00565841 0.0013859926 0.007311429 0.013948934 0.0037892275 0.002746554 0.0037892275 0.0019327602 0.0042978483 0.00057219877 0.0014495702 0.0023523727 0.0045903055 0.002187071 0.008824577 0.0075021614 0.0014368547 0.0032678908 0.0064467727 0.0030390113 0.025100453 0.124497734 0.0055439705 0.0015385789 0.0009790957 0.0012334062 0.004234271 0.082676366 0.0042469865 0.00048319006 0.005416815 0.0005976298 0.01515691 0.06406083 0.018920707 0.00904074 0.029767051 0.004768323 0.0059635825 0.007756472 0.02012868 0.00069935404 0.0016657342 0.01083363 0.0074004373 0.015957989 0.023956055 0.00901531 0.00034331926 0.023282133 0.0149534615 0.027452825 0.005734703 0.0021489242 0.0037510807 0.0026702608 0.0048827627 0.007769188 0.0015258634 0.0023142262 6.357764e-05 0.004285133 0.00043232797 5.156611 0.0 34.0 10.0 13.0 986931.0 106496.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1191954000.0 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 30208.0 1024.0 4096.0 8.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 -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 0.0 -10752.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 -9216.0 -20992.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.41381684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.814563 -4.703598 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3801236 0.0 0.0 -5.279527 0.0 0.0 0.0 0.0 0.0 -6.0068913 -5.2088666 3.3807237 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 -1895.0 -600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10740.0 0.0 0.0 -1179.0 0.0 0.0 0.0 0.0 0.0 -9051.0 -20980.0 1120.0 0.0 0.0 0.0 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 0.0 0.0 1120.0 90112.0 0.0 0.0 0.0 0.0 12.0 98304.0 28.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8192.0


Input: 0.008374258 0.0039229253 0.0039635724 0.0039031233 0.0038854056 0.0038906166 0.003939601 0.00393439 0.0037863944 0.0038468433 0.0039052079 0.0038072388 0.003827041 0.00386873 0.0038583078 0.0037790989 0.003920841 0.0039646146 0.0040261056 0.0038885323 0.0037957744 0.0038624767 0.0038009856 0.0038937433 0.0038562233 0.0038635188 0.0039885854 0.0038343365 0.003804112 0.0038520545 0.0039083343 0.0038614345 0.00378431 0.0038061966 0.004013599 0.0040261056 0.0039979657 0.0037540856 0.00392501 0.0038801944 0.0039083343 0.0038187033 0.0038989545 0.0039885854 0.0038843632 0.003969826 0.0039656567 0.004080301 0.003995881 0.0039927545 0.0038864478 0.0039031233 0.00395315 0.0039135455 0.00381245 0.0039041655 0.0038374632 0.0037863944 0.0038051545 0.0038958278 0.003920841 0.0038280834 0.0039083343 0.0037968166 0.003873941 0.004031317 0.0037592966 0.00375617 0.0039604455 0.003882279 0.0038603921 0.0038374632 0.0038187033 0.0038718567 0.0038291255 0.0038562233 0.0038749834 0.003920841 0.003939601 0.0039333478 0.0038426744 0.003911461 0.00382183 0.0038322522 0.0038072388 0.003910419 0.0038718567 0.003919799 0.003851012 0.0038864478 0.0038656034 0.0037790989 0.0039083343 0.0038749834 0.0038061966 0.003939601 0.0038864478 0.0039896276 0.0038864478 0.0038749834 0.0040125567 0.0038489278 0.003845801 0.0037957744 0.00391563 0.0039937967 0.003967741 0.00379369 0.004004219 0.0037968166 0.0039229253 0.00392501 0.00397191 0.003935432 0.0038854056 0.003968783 0.003920841 0.0040448657 0.0039406433 0.003891659 0.003873941 0.0037968166 0.0039177146 0.0039093764 0.0039760787 0.0038426744 0.003907292 0.004032359 0.0039937967 0.0038635188 0.00397191 0.0039125034 0.00382183 0.0037499166 0.0038864478 0.0038437166 0.0038603921 0.0039552343 0.0038843632 0.0038426744 0.0039614877 0.0039750366 0.0038979123 0.00395315 0.0039427276 0.0038603921 0.0039416854 0.00398129 0.0038114078 0.0039302213 0.004033401 0.0037874365 0.0038207876 0.0038864478 0.0038708143 0.003844759 0.0038728989 0.00387811 0.0039427276 0.0038134921 0.003845801 0.0039771213 0.0037916056 0.0038854056 0.0039594034 0.0039145877 0.0038989545 0.003845801 0.0038176612 0.0038760256 0.0039739944 0.004005261 0.003911461 0.003844759 0.0037728455 0.0039229253 0.0038520545 0.00389687 0.0038155767 0.00385935 0.003891659 0.0038603921 0.0038197455 0.0038843632 0.003952108 0.003921883 0.0039041655 0.0038385056 0.0038291255 0.003939601 0.003891659 0.0038885323 0.0038093233 0.0039166724 0.003882279 0.003911461 0.0038478856 0.0037540856 0.0037686767 0.0040115146 0.0038885323 0.0039083343 0.003911461 0.0039468966 0.0038385056 0.0039270944 0.003891659 0.0038927011 0.0039594034 0.0038624767 0.0038426744 0.00400943 0.0037363677 0.0038332944 0.0038656034 0.0039833747 0.00391563 0.0039364747 0.0039896276 0.0039083343 0.0037634654 0.0038656034 0.0039406433 0.0037301143 0.0039333478 0.0038562233 0.0038812368 0.0038416323 0.00387811 0.0038322522 0.0037592966 0.0039416854 0.0039083343 0.0038437166 0.0038854056 0.00384997 0.0038635188 0.0038301677 0.0039177146 0.004004219 0.0038885323 0.0038416323 0.0038885323 0.0039312635 0.00383121 0.0038114078 0.0038635188 0.003954192 0.0038374632 0.0037582545 0.00384997 0.003937517 0.00394377 0.003919799 0.003968783 0.004047992 0.001062116 5.21668e-07 0.0 5.21668e-07 0.0 5.21668e-07 5.21668e-07 5.21668e-07 1.565004e-06 1.043336e-06 0.0 0.0 1.043336e-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 0.001956255 8.346688e-06 5.21668e-06 6.051349e-05 6.260016e-06 9.911692e-06 3.3386754e-05 1.4085036e-05 5.21668e-06 5.21668e-06 7.303352e-06 3.651676e-06 6.260016e-06 4.695012e-06 6.781684e-06 3.651676e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00062078494 2.1910057e-05 2.4518396e-05 2.3996728e-05 3.3386754e-05 2.7126736e-05 9.0770234e-05 6.52085e-05 1.5650041e-05 1.7736713e-05 3.443009e-05 1.5128372e-05 1.6693377e-05 1.7215045e-05 1.7736713e-05 2.60834e-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 0.00032708584 7.1468516e-05 3.390842e-05 6.312183e-05 8.7118555e-05 3.0778414e-05 3.7560098e-05 2.9213408e-05 3.7560098e-05 2.8170072e-05 4.5906785e-05 7.094685e-05 2.9735076e-05 7.251185e-05 2.8170072e-05 7.5120195e-05 0.061925642 0.06203728 0.06269354 0.061978854 0.06189695 0.06181922 0.062345065 0.06276136 0.062373236 0.062223516 0.06221569 0.061976768 0.06211188 0.06207119 0.062034674 0.06219326 4646.0 5.656479 26280.0 0.010083714 0.009665145 0.009931507 0.01152968 0.010730593 0.009208524 0.009360731 0.009703197 0.0101598175 0.0104261795 0.0105403345 0.0105783865 0.010007611 0.012290715 0.011415525 0.0100456625 0.0104261795 0.011910198 0.010121766 0.011377473 0.010121766 0.010730593 0.0104261795 0.009817352 0.009893456 0.0103881275 0.009817352 0.0101978695 0.010007611 0.009703197 0.0101978695 0.009170472 0.009893456 0.00955099 0.009741249 0.0105783865 0.011187214 0.011910198 0.010958904 0.009855404 0.0105403345 0.011149162 0.0103120245 0.009627093 0.011225266 0.009817352 0.011605784 0.0105783865 0.009817352 0.0101598175 0.0097793 0.011187214 0.0103500765 0.0101978695 0.0102739725 0.0103881275 0.0103500765 0.009741249 0.010730593 0.010121766 0.0108447485 0.0103881275 0.011149162 0.009741249 0.0105403345 0.011225266 0.009436834 0.009056317 0.01152968 0.0106925415 0.010007611 0.0104261795 0.010502283 0.010007611 0.010007611 0.0101598175 0.01240487 0.009208524 0.010121766 0.011453577 0.0101598175 0.010235921 0.009969559 0.01152968 0.0105783865 0.0108828 0.0105403345 0.010996955 0.009246576 0.0108447485 0.011035007 0.011073059 0.009246576 0.0102739725 0.012595129 0.0102739725 6.581443 0.0 0.0 0.0 14.0 959488.0 970752.0 0.0 0.0 10.0 1.0 1.0 0.0 0.0 0.0 1346857600.0 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 5.0 1.0 13.0 0.0 5.0 1.0 4.0 0.0 954880.0 512.0 4096.0 3.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 954880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.999781 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8124324 0.8373772 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 954796.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -735.0 2924.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 958572.0 2704.0 966656.0 0.0 0.0 0.0 0.0 216.0 969364.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 958520.0 256.0 4864.0 0.0 0.0


Input: 0.1644432 0.009161481 0.0061573093 0.00568558 0.007291115 0.003951768 0.003360037 0.0030621027 0.008606992 0.0026110632 0.002478648 0.0026896847 0.005354542 0.0029545154 0.0021641618 0.0075021517 0.006955939 0.0020027808 0.0020565744 0.0016800185 0.004435911 0.0038359044 0.0019903667 0.0019655388 0.0040138373 0.0022220935 0.0018662275 0.0018993313 0.0034469345 0.002143472 0.001775192 0.0022593352 0.0062855864 0.0018455376 0.0018000199 0.002135196 0.012815313 0.0020896783 0.0017917439 0.0018124338 0.0029917571 0.001766916 0.0017007084 0.002668995 0.0028676179 0.0025283038 0.002131058 0.0018538135 0.0030993444 0.002118644 0.0019986427 0.006082826 0.0026276151 0.0019903667 0.001597259 0.0015848451 0.0025945115 0.0026027875 0.001775192 0.0041628047 0.0036538334 0.0029627914 0.0028303762 0.0061117914 0.00638076 0.008640096 0.007142148 0.0022386455 0.008826304 0.006049722 0.004129701 0.0035752119 0.0028965836 0.0033021055 0.001948987 0.0016345008 0.0039807335 0.0037531448 0.004088321 0.0018951934 0.00816009 0.003699351 0.003351761 0.0037738348 0.004249702 0.0035752119 0.005209713 0.004382117 0.0036910751 0.0041628047 0.0017503641 0.002652443 0.002652443 0.0030455508 0.004051079 0.0028758938 0.0024000264 0.0032855535 0.0017958819 0.0027517546 0.0036165917 0.0052386783 0.004762811 0.001977953 0.0046800515 0.0032896914 0.005813857 0.001766916 0.0034221066 0.002296577 0.0032565875 0.003566936 0.0031034825 0.0015682932 0.00419177 0.0031283104 0.010133905 0.007816638 0.0024952 0.0020648504 0.0021682999 0.002160024 0.0016800185 0.0016593287 0.0027724444 0.0031655522 0.0023586468 0.0023958886 0.0039476296 0.003380727 0.0018620895 0.010113215 0.003405555 0.0052593686 0.0021020921 0.0017462262 0.003020723 0.008379403 0.0022758872 0.022142313 0.0024579582 0.006368346 0.001766916 0.0016924324 0.0024000264 0.0015103614 0.001597259 0.001766916 0.0025614076 0.0018289858 0.0015641552 0.0014400159 0.0020441604 0.0022303695 0.0014938096 0.00175864 0.0027020988 0.0015227754 0.0016510527 0.0016427768 0.002118644 0.0022634733 0.0013117386 0.0020689883 0.0019820908 0.001771054 0.0016841565 0.0017213983 0.0020482985 0.0016386388 0.0013944982 0.0017379503 0.0018869174 0.0015020856 0.0016800185 0.0016841565 0.0026855469 0.0022634733 0.0025200278 0.001775192 0.0021765758 0.0014855337 0.0018745034 0.0018538135 0.002834514 0.0019738148 0.0019200211 0.0020069187 0.0024372684 0.0016841565 0.0022303695 0.0026276151 0.0067904196 0.003736593 0.003194518 0.0052676443 0.0043903934 0.0022634733 0.0032607256 0.00468419 0.0029545154 0.0027972723 0.002292439 0.0017876059 0.010183561 0.0016551907 0.0023627847 0.0020896783 0.0031117585 0.002470372 0.002673133 0.0022510593 0.0020482985 0.0017503641 0.0020482985 0.0023545087 0.0027558925 0.003384865 0.0018745034 0.00245382 0.0023627847 0.00251589 0.0016345008 0.0015558793 0.0036414196 0.0018827794 0.0019117453 0.0015600172 0.0027931342 0.0016882945 0.0018455376 0.0016262248 0.00930631 0.0029545154 0.0019241591 0.0045352224 0.0033103814 0.0020855402 0.002143472 0.0025779596 0.003732455 0.0022262314 0.0025986494 0.0022055416 0.0025572695 0.001977953 0.0034924524 0.0028014102 0.004063493 0.0022758872 0.0018041579 0.0021972656 0.003525556 0.002118644 0.0038317663 0.025916148 0.025531914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003875083 0.0 2.0777925e-06 4.155585e-06 6.648936e-05 3.116689e-05 0.00017245678 9.350067e-05 0.0 2.0777925e-06 2.0777925e-06 4.155585e-06 0.0 0.0 2.0777925e-06 0.0 0.007579787 0.00016206782 0.00019115691 8.31117e-06 0.0032662898 0.0011344748 9.973404e-05 6.441157e-05 2.2855718e-05 2.7011303e-05 1.4544548e-05 2.493351e-05 3.5322475e-05 7.8956116e-05 2.493351e-05 3.116689e-05 0.0035218585 0.00012466755 0.00012051197 4.155585e-06 0.00012466755 6.0255985e-05 6.648936e-05 5.6100398e-05 2.7011303e-05 1.2466755e-05 2.9089097e-05 4.155585e-06 2.7011303e-05 2.493351e-05 1.2466755e-05 3.9478058e-05 0.006742437 7.687832e-05 0.00018492354 0.00022024602 9.350067e-05 8.5189495e-05 0.000118434175 1.0388962e-05 0.000118434175 0.00010388963 4.986702e-05 8.103391e-05 0.00021816822 6.233378e-05 0.00012258976 0.0002223238 0.009680435 0.00013090092 0.00032413565 0.00034491357 0.0005797041 0.00018284575 0.0005319149 0.0003095911 5.4022606e-05 3.9478058e-05 5.4022606e-05 0.0001683012 0.00012051197 7.272274e-05 7.687832e-05 9.5578456e-05 0.0067486702 0.00028465758 0.00019115691 0.00019323471 0.0026907413 0.0009183843 0.000390625 0.00026180185 0.0001412899 9.5578456e-05 0.0001412899 9.765625e-05 0.00015375664 0.00011635639 0.00013505651 0.00020570146 0.010004571 0.0005734707 0.00041140293 9.5578456e-05 0.0012882313 0.0003345246 0.0015583445 0.0008061835 0.00016206782 0.00022024602 0.00011427859 7.8956116e-05 6.441157e-05 9.350067e-05 0.000118434175 0.0010970745 0.0069855386 0.00021193484 0.0006441157 0.00028881317 0.001132397 0.00066073803 0.0030668217 0.0017058677 0.0003615359 5.8178193e-05 8.5189495e-05 0.00011635639 0.00038439163 0.00023479055 0.00010596742 0.0009786403 0.0009266955 2.493351e-05 0.00017661236 3.324468e-05 0.00048620347 0.00023271277 0.0014087433 0.00077917223 1.8700133e-05 2.7011303e-05 3.324468e-05 2.7011303e-05 2.7011303e-05 1.662234e-05 2.0777925e-05 1.662234e-05 0.008529338 0.00053399266 0.0017972905 0.0010139628 0.0022170045 0.00082488364 0.005030336 0.0026491855 0.00023686835 0.00032205784 0.00029089095 0.0003573803 0.00034491357 0.00024517952 0.00031790228 0.0008207281 0.011957696 0.0013547208 0.0017993683 0.0025889296 0.0037254822 0.0014606882 0.0035426363 0.0022710273 0.0013526429 0.0008082613 0.00076670543 0.0008373504 0.0016144448 0.00079995015 0.0010160406 0.0024019282 0.05064204 0.007829122 0.009341755 0.0082322145 0.011259558 0.012495845 0.007681599 0.008219748 0.019695396 0.0034574468 0.0027302194 0.0048724236 0.012905169 0.004940991 0.0063975235 0.012277676 0.06188082 0.012699468 0.013229305 0.011627327 0.023408411 0.022755984 0.009842503 0.015595911 0.036506817 0.0037878158 0.0039893617 0.007293052 0.022361204 0.009788481 0.015288398 0.027817486 0.022107713 0.02056599 0.020655336 0.023186088 0.020297956 0.020175366 0.020466257 0.020102642 0.02143243 0.02073637 0.020158743 0.020364445 0.021588264 0.020707281 0.022155503 0.02146983 1188.0 12.127946 14408.0 0.038173236 0.0022903942 0.0026374236 0.0022209883 0.015061077 0.0020821765 0.0020127706 0.0044419765 0.0037479177 0.0026374236 0.0018739589 0.004233759 0.0028456412 0.004233759 0.006524153 0.002429206 0.006454747 0.0030538589 0.0027762353 0.0049278177 0.0031232648 0.0018739589 0.0040255412 0.0022209883 0.002915047 0.002915047 0.0026374236 0.0025680177 0.0047196 0.0020821765 0.003609106 0.004650194 0.0050666295 0.03019156 0.003609106 0.008328706 0.054205995 0.006038312 0.0055524707 0.027762353 0.003609106 0.026721265 0.002429206 0.0022903942 0.009578012 0.0061077178 0.025749583 0.0038173236 0.03352304 0.0068017766 0.009300388 0.015477512 0.010133259 0.007981677 0.013048306 0.010688506 0.023598 0.0043725707 0.0034008883 0.0038867295 0.0033314824 0.0038867295 0.0049278177 0.005830094 0.0050666295 0.028872848 0.0062465295 0.0212382 0.015755136 0.05392837 0.008120488 0.007912271 0.013464741 0.026790671 0.004789006 0.002915047 0.022140477 0.0110355355 0.026998889 0.033800665 0.012562465 0.0024986118 0.03560522 0.021446418 0.047681842 0.017004441 0.005274847 0.0062465295 0.006454747 0.008398112 0.0032620765 0.0010410883 0.0031232648 0.0015269294 0.0022903942 0.0032620765 5.8845334 0.0 0.0 0.0 4.0 241664.0 274432.0 0.0 0.0 174.0 0.0 1.0 0.0 0.0 0.0 1203108400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 106496.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -106496.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.2974834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6338897 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6806383 0.0 7.938424 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -102833.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 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 -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 -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 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 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 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 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 -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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 160.0 140724.0 5744.0 188416.0 0.0 0.0 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 137496.0 0.0 0.0 724.0 110592.0 0.0 0.0 0.0 0.0


Input: 0.11687769 0.0104341535 0.0070378077 0.0046166326 0.0074451575 0.006799746 0.0031424137 0.0035691613 0.011268252 0.002005008 0.0019767934 0.0016805389 0.005833392 0.003673203 0.0016505608 0.0069602174 0.0076867463 0.0013595965 0.0013807575 0.0019609227 0.0050486703 0.0023524018 0.0012149961 0.0011867814 0.003840728 0.0014636383 0.0010986105 0.0012485011 0.0030366087 0.001172674 0.0009804614 0.001273189 0.003962404 0.0010033858 0.0013084573 0.0010809762 0.01830606 0.0030683503 0.0010527616 0.0010122028 0.002236016 0.0009786979 0.0011197715 0.0041616703 0.0021055231 0.0011215348 0.0011903082 0.0009240319 0.0038336744 0.0024529167 0.002415885 0.006147281 0.0031970798 0.005080412 0.0024846583 0.0022465966 0.0035197856 0.0032111872 0.0023964872 0.0049693165 0.0028056006 0.0021407914 0.0024211751 0.002403541 0.004359173 0.002184877 0.0017775269 0.001886859 0.0093584675 0.019651549 0.003257036 0.014560556 0.003294068 0.001172674 0.0015976581 0.0011144812 0.0042075193 0.0066533824 0.0014266064 0.0013419624 0.0067045214 0.0029431474 0.0016664315 0.0027967836 0.002373563 0.0037596107 0.0033910559 0.003084221 0.00204204 0.0036361713 0.0011321154 0.0016047119 0.004045285 0.0064259013 0.002437046 0.0019785569 0.0023206603 0.0015764971 0.001260845 0.0015006701 0.0043309587 0.00469775 0.002564012 0.0012097058 0.003281724 0.0015447555 0.0045390422 0.0020490936 0.0022942089 0.0012114693 0.0017281512 0.001811032 0.003399873 0.0010263103 0.0024846583 0.0020773083 0.008268675 0.008053537 0.001710517 0.001403682 0.004554913 0.006849122 0.0013472526 0.0011656204 0.0021002328 0.0026539466 0.0016505608 0.0014724553 0.0031618113 0.0017193342 0.0013278549 0.009631798 0.0033945828 0.012693094 0.0012767158 0.0010668689 0.0021125767 0.009658249 0.0015518093 0.024573252 0.0015306482 0.010755097 0.0011162446 0.0011003738 0.0020984693 0.0010245468 0.0009910418 0.0014442407 0.0015024336 0.001555336 0.000999859 0.0010227833 0.0017369683 0.001282006 0.0009610637 0.0010069126 0.0018621711 0.0031776822 0.0011603301 0.0012996403 0.0018427735 0.0015500458 0.0010263103 0.0014671651 0.0015606263 0.0021742964 0.000878183 0.0010139663 0.0023047894 0.0009099245 0.00093108555 0.0009169782 0.0015324117 0.00081469986 0.0009257953 0.0015641532 0.002798547 0.0017775269 0.0014565847 0.0011903082 0.001832193 0.002193694 0.0020226424 0.0014089723 0.0035462368 0.0010651054 0.0012361571 0.001118008 0.0024899484 0.0019115469 0.001273189 0.0011797277 0.0072176764 0.0053466884 0.0031900262 0.00367673 0.0038477816 0.0011232983 0.0035162587 0.0041070045 0.0055353744 0.0035374197 0.0015994216 0.001285533 0.0025939902 0.0012908232 0.0014318967 0.001285533 0.0032887775 0.0013190379 0.0015112506 0.0013737039 0.0022624673 0.0010721592 0.0015729703 0.001282006 0.004345066 0.002197221 0.0013842843 0.0016593778 0.021355012 0.02186464 0.00626014 0.0021672428 0.0042762924 0.0013349087 0.0015888411 0.0011215348 0.0032376384 0.0016311632 0.0012308669 0.0011497496 0.013153347 0.0061367005 0.0017475488 0.0037684278 0.0058175214 0.0013208013 0.001260845 0.0011691472 0.0047347816 0.0015659166 0.0015147774 0.0013155111 0.0039571137 0.0012678987 0.0031036185 0.0021196303 0.0063394937 0.0016840658 0.0018586443 0.003484517 0.0063976864 0.0037684278 0.008638993 0.069454044 0.009057971 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0062432773 8.138021e-05 5.661232e-05 7.0765396e-05 0.00015568388 0.00019725855 5.4843185e-05 5.0420345e-05 4.865121e-05 2.3883322e-05 3.7151833e-05 2.3883322e-05 7.784194e-05 4.7766644e-05 2.2998755e-05 5.3958618e-05 0.0015099567 2.5652456e-05 2.2998755e-05 2.2114187e-05 1.6806782e-05 6.368886e-05 2.0345053e-05 1.7691349e-05 1.5922215e-05 9.730243e-06 1.23839445e-05 1.9460485e-05 1.5922215e-05 1.3268512e-05 8.8456745e-06 1.6806782e-05 0.006590028 0.00014772276 0.00014506906 3.6267265e-05 0.0005793917 4.3343807e-05 5.0420345e-05 4.245924e-05 3.3613564e-05 0.00017514436 0.00022291101 0.00012030118 0.000102609825 5.1304913e-05 3.80364e-05 0.00067934784 0.013238437 0.0004493603 0.00037328748 8.845675e-05 0.0014613054 0.0001848746 0.00040070908 0.00035471155 0.000642196 0.000707654 0.00015922215 0.00010084069 0.00013180055 0.00010437896 0.000107917236 0.0014223845 0.0045431387 7.9611076e-05 0.00020433508 0.00051128 0.00019106657 9.730242e-05 0.00041928497 0.00021406534 7.872651e-05 6.988083e-05 9.553329e-05 0.0001769135 0.00015568388 8.6687614e-05 7.60728e-05 0.00024679434 0.008628956 0.00016983696 0.00046262878 0.00032552084 0.0012410482 0.00056700775 0.0028863437 0.0015603771 0.00028659985 0.00024148692 0.00020787335 0.00017602893 0.00021583447 0.00019460484 0.00018045177 0.00077134283 0.010008881 0.00039628622 0.0006271583 0.00035559613 0.0015586079 0.00058027625 0.0018832441 0.0011879741 0.00041397757 0.00029986838 0.00040070908 0.00052101025 0.0009420644 0.0004980115 0.000517472 0.001547993 0.012436134 0.001547993 0.0017824034 0.020426432 0.0028934202 0.0018098251 0.0023591414 0.0023839094 0.002632473 0.0019354336 0.0018699757 0.0020743108 0.0023290662 0.0033427805 0.0023883323 0.0066289487 0.015057107 0.001290584 0.0015373783 0.0020424663 0.004072549 0.0025882444 0.0023945242 0.003740836 0.010866027 0.00211677 0.0013427734 0.0023370273 0.0036391106 0.008835944 0.004631595 0.025898367 0.040189438 0.0067368657 0.008131829 0.0068058623 0.021393264 0.012955375 0.006513955 0.013284435 0.027357902 0.0029862998 0.002629819 0.005861144 0.013606417 0.021945234 0.013727603 0.040439773 0.05317135 0.014431719 0.021414494 0.010892564 0.033286273 0.019639168 0.010075224 0.01714911 0.03386036 0.0032870527 0.0044520283 0.006720059 0.018371582 0.029310143 0.01823359 0.033603836 0.013878864 0.010895218 0.009820468 0.010123875 0.011037633 0.011322464 0.010712112 0.010218523 0.010581196 0.01123843 0.009935462 0.010366246 0.011047363 0.010651962 0.010086723 0.01018491 2229.0 10.0053835 22302.0 0.018653035 0.0042148684 0.0042148684 0.0038561565 0.01197202 0.0036319613 0.0039906735 0.0056497175 0.00600843 0.003093893 0.003497444 0.0036768003 0.0066810152 0.0037664783 0.006098108 0.0039906735 0.020984665 0.01986369 0.016993992 0.01937046 0.019953368 0.019908529 0.018204646 0.016949153 0.021567572 0.018159807 0.018070128 0.020939825 0.019953368 0.014752041 0.01618689 0.014931397 0.0075777955 0.009326518 0.004932293 0.010312976 0.009819747 0.0065913373 0.007757152 0.009909425 0.010402654 0.0057393955 0.004708098 0.005246166 0.0095955515 0.006994888 0.0058290735 0.0070845666 0.012151376 0.006501659 0.008384898 0.010940723 0.01013362 0.004842615 0.009864586 0.011254596 0.006815532 0.006367142 0.005021971 0.0057393955 0.008115864 0.006098108 0.005246166 0.007667474 0.008609094 0.016859474 0.0073087616 0.014707201 0.017263025 0.03291185 0.008250381 0.007667474 0.010447494 0.015873017 0.00690521 0.004304547 0.019056587 0.008250381 0.015738498 0.020356918 0.009281679 0.004394225 0.022105642 0.016366245 0.03134248 0.012241054 0.0058739125 0.0058290735 0.008026186 0.006187786 0.0041700294 0.0040803514 0.0071742446 0.0040355125 0.0035871223 0.0040355125 6.3356714 0.0 9.0 0.0 5.0 567080.0 581632.0 0.0 0.0 203.0 1.0 1.0 1.0 0.0 0.0 1538625700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 366592.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -366592.0 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 -5.954429 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.308578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9455144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5565667 0.0 5.553063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -366409.0 0.0 16064.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -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 -2.0 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 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -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 -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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 506164.0 16064.0 532480.0 0.0 0.0 5984.0 561096.0 22856.0 548864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 490032.0 0.0 0.0 844.0 372736.0 0.0 0.0 0.0 0.0


Input: 0.056910153 0.008314063 0.00617628 0.005655351 0.0057520503 0.004963899 0.0041975826 0.0054245205 0.00505332 0.005633516 0.003746319 0.004471044 0.004955581 0.0031734016 0.004323396 0.0046374085 0.005046041 0.0037629555 0.004935825 0.004154952 0.004356669 0.0031734016 0.004107122 0.00383574 0.005079314 0.003339766 0.003161964 0.0029228153 0.0041466337 0.0034343859 0.0037858307 0.0037910296 0.0061721206 0.0038118253 0.0034936531 0.0030184747 0.004892154 0.0041643097 0.0038419787 0.0037203247 0.0047309888 0.003892928 0.0033345672 0.0030974979 0.004369146 0.0037172055 0.0037203247 0.003578915 0.00551914 0.003949076 0.0030974979 0.0028874627 0.0036808131 0.0030746227 0.0026878254 0.00285315 0.0041726283 0.0033054533 0.0035206873 0.0033366468 0.0040073036 0.0032160326 0.0035030113 0.0034541416 0.0066129863 0.0039542746 0.0036194662 0.0032253906 0.0041559916 0.0032170722 0.0035425227 0.0030621456 0.0049992516 0.003779592 0.0036984894 0.0035820343 0.004136236 0.0031255719 0.0035518808 0.0034634997 0.0051708147 0.0036277846 0.0036433812 0.0033324875 0.0039293203 0.0033792777 0.0033616014 0.0035446023 0.0046509258 0.0036454608 0.0038024671 0.0035019715 0.004101923 0.0033792777 0.003686012 0.0037910296 0.005913216 0.003625705 0.0033428855 0.0029550483 0.0040114624 0.0030538272 0.0032628225 0.003036151 0.004972217 0.003161964 0.0031941973 0.0030475885 0.0035716365 0.002830275 0.0030819012 0.0031910778 0.0045063966 0.0032867375 0.0032253906 0.0031401287 0.0038908483 0.0033335274 0.0032960954 0.0036277846 0.0046332497 0.0032950556 0.0034811758 0.0031661233 0.0040395367 0.003190038 0.0034645395 0.0033345672 0.008662389 0.004597897 0.004014582 0.003526926 0.0043660267 0.003438545 0.0030163953 0.003391755 0.0045479876 0.0038336606 0.0029581676 0.0031983564 0.0037265634 0.0027970022 0.0028406729 0.002980003 0.0052373605 0.0032035552 0.0034936531 0.0030236735 0.0036631369 0.0031837993 0.003303374 0.0032649022 0.0045490274 0.0028406729 0.0030465487 0.0026971835 0.003513409 0.0032274702 0.0029768837 0.003152606 0.0050179674 0.003410471 0.0032732203 0.0027959624 0.0037723137 0.003017435 0.0030496682 0.0031837993 0.0041414346 0.0029924803 0.003120373 0.0030153554 0.003652739 0.0028313147 0.002913457 0.0030382306 0.0046706814 0.003111015 0.003840939 0.0028521104 0.0035653978 0.0031505264 0.0029831224 0.0031214128 0.00425789 0.0031411685 0.003335607 0.0031671629 0.0036548187 0.0031973165 0.0033231296 0.0033501638 0.0067336005 0.004063451 0.0037255236 0.0033428855 0.004120639 0.0032565838 0.0033002545 0.0032285098 0.0043275547 0.003331448 0.0031099753 0.0030756625 0.0036465004 0.0029862416 0.0030715035 0.0028011613 0.004251651 0.00327426 0.0030839809 0.0029872814 0.0037151258 0.0030132758 0.002933213 0.002942571 0.0039781895 0.0031047764 0.002727337 0.002633757 0.003536284 0.0029446506 0.0035851537 0.0028781048 0.004950382 0.0032337087 0.0033907152 0.0029675257 0.0038097457 0.0030694238 0.0032004358 0.0029040992 0.00444401 0.0054567535 0.0034645395 0.0031359696 0.0037847909 0.003073583 0.0032389075 0.003190038 0.0046145334 0.0033137717 0.0034167096 0.0030351111 0.0037400806 0.0030871 0.0033137717 0.0032399474 0.0043587484 0.0030351111 0.0031837993 0.0028562695 0.0040125023 0.003092299 0.0042360546 0.004533431 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.004600151 0.00029463452 0.0002738123 0.0002654834 0.00030296342 0.00023633229 0.0003232651 0.00030504563 0.00033107342 0.0003477312 0.0003347173 0.0003571012 0.00052628183 0.00015824893 0.00019052338 0.000747518 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.09931734 0.061989855 0.0624417 0.05527833 0.060600493 0.0595396 0.054918107 0.05447303 0.06047608 0.05314353 0.05210919 0.052919693 0.056424595 0.050494943 0.05661043 0.053825982 4008.0 5.705589 22868.0 0.017141858 0.010451286 0.009489243 0.008614658 0.013424873 0.01246283 0.011763163 0.011457058 0.012594018 0.009707889 0.00848347 0.008614658 0.013905895 0.010582473 0.011806891 0.009926535 0.016748294 0.011938079 0.008702116 0.0075214272 0.009839077 0.00848347 0.007827532 0.008396012 0.010276369 0.008439741 0.009576701 0.008833304 0.011500787 0.008964492 0.00962043 0.009183138 0.018060172 0.010888578 0.010407557 0.00909568 0.010844849 0.008833304 0.010713661 0.008308553 0.014255729 0.011631975 0.009751618 0.008964492 0.011457058 0.009358055 0.011675704 0.009576701 0.014824209 0.00962043 0.0099702645 0.009008221 0.012112997 0.009401784 0.009576701 0.009882806 0.013687248 0.009270596 0.0104950145 0.009532972 0.011150953 0.009839077 0.010407557 0.010713661 0.017972713 0.011019765 0.009707889 0.008177366 0.013118769 0.008264824 0.009445514 0.008352282 0.015480147 0.009314326 0.008920763 0.008702116 0.011369599 0.0079587195 0.009926535 0.00791499 0.013206227 0.0079587195 0.008702116 0.008745845 0.011413328 0.009401784 0.008221095 0.007871261 0.010976036 0.008877033 0.011981809 0.00848347 0.011238412 0.008920763 0.010013993 0.008745845 6.5544486 0.0 0.0 0.0 14.0 961744.0 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