Input: 0.29650375 0.009830191 0.003389721 0.001920842 0.0019692665 0.0025987863 0.0019369834 0.0025180785 0.0030668904 0.0013881715 0.0020661156 0.0033090133 0.001678719 0.0038739669 0.0014688792 0.0013236054 0.0016948605 0.0009523502 0.00092006713 0.0016625775 0.0012590393 0.0040838066 0.0043420712 0.0011783316 0.0010330578 0.0011137655 0.00085550104 0.00092006713 0.0008877841 0.0007102273 0.0012267563 0.0008393595 0.032057077 0.0011944731 0.0013236054 0.001129907 0.0007747934 0.0015173038 0.0009846332 0.0005165289 0.0012913223 0.00062951964 0.00137203 0.0007586519 0.0037286931 0.0007102273 0.011977014 0.0008877841 0.005746384 0.0023405217 0.0012267563 0.0020822573 0.0020822573 0.002195248 0.0008393595 0.0015818698 0.0009684917 0.00062951964 0.00087164255 0.0038578254 0.0011137655 0.0029054752 0.0015657283 0.00092006713 0.022243027 0.004616477 0.0015980114 0.0035188533 0.0039869575 0.0032767304 0.0019369834 0.0010653409 0.001678719 0.0025180785 0.005746384 0.0011783316 0.0023405217 0.002259814 0.0012751808 0.0011460485 0.0057948087 0.0011621901 0.0031314567 0.007877066 0.0053267046 0.0011944731 0.002469654 0.0012590393 0.0006940857 0.00059723656 0.0005649535 0.0005649535 0.0004519628 0.00048424586 0.019450542 0.0007909349 0.0007747934 0.022791838 0.009878616 0.0153344525 0.01129907 0.040821925 0.005891658 0.0059400825 0.0088939825 0.026633523 0.0007263688 0.0023405217 0.013026214 0.0072959713 0.02492252 0.022146178 0.0073766788 0.0004519628 0.017255295 0.017061597 0.029910253 0.010217587 0.0037125517 0.0040838066 0.0018239928 0.0046810433 0.0022113894 0.0007425103 0.00048424586 0.0003389721 0.0008393595 0.000548812 0.0014850206 0.00058109505 0.00064566114 0.0004519628 0.00053267047 0.00048424586 0.0005649535 0.0006940857 0.00064566114 0.00041967974 0.00032283057 0.0005003874 0.0007747934 0.00064566114 0.0011137655 0.0007747934 0.0005165289 0.0007425103 0.00080707646 0.00048424586 0.0006133781 0.00058109505 0.0012267563 0.0007425103 0.0005003874 0.00080707646 0.00062951964 0.0006618027 0.00062951964 0.00037125516 0.0009846332 0.00064566114 0.00092006713 0.0005649535 0.00046810435 0.00046810435 0.0007263688 0.00046810435 0.0005649535 0.0005165289 0.0008877841 0.00053267047 0.0014204546 0.00064566114 0.0005649535 0.0007586519 0.00059723656 0.00043582128 0.0007909349 0.0014688792 0.0007425103 0.00040353823 0.00092006713 0.0007425103 0.0008393595 0.000548812 0.0007909349 0.0011621901 0.00053267047 0.0006779442 0.0006133781 0.00080707646 0.0006940857 0.0005649535 0.0014688792 0.0013074639 0.00087164255 0.0010653409 0.00043582128 0.0006940857 0.00080707646 0.0006618027 0.00092006713 0.00059723656 0.0007425103 0.0004519628 0.0007909349 0.0007586519 0.00080707646 0.00043582128 0.00082321797 0.00059723656 0.0005165289 0.00064566114 0.0012751808 0.00059723656 0.00030668906 0.0005003874 0.0005649535 0.00059723656 0.0005165289 0.000548812 0.0013236054 0.0006133781 0.00059723656 0.0007747934 0.0012106147 0.0006940857 0.0008393595 0.0009846332 0.0006940857 0.000548812 0.00064566114 0.0005649535 0.00087164255 0.0006618027 0.0006618027 0.0004519628 0.0005649535 0.0005003874 0.0007102273 0.0008393595 0.0017755682 0.0005003874 0.0008393595 0.005827092 0.0007263688 0.0007747934 0.0006779442 0.00037125516 0.00058109505 0.0003873967 0.0007747934 0.0007909349 0.0007586519 0.00046810435 0.0007747934 0.0175297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0334183 0.00041379768 0.00032276218 0.0009434587 0.0077380165 9.103549e-05 0.00018207097 0.00016551907 0.00039724575 0.0006869041 0.0005131091 0.0006538003 0.0005875927 0.00025655454 0.00054621295 0.0039310777 0.04573292 0.00067035225 0.015045683 0.0010427701 0.018769862 0.0029048596 0.05419922 0.02239473 0.0002482786 0.00032276218 0.0002482786 0.00036414195 0.00041379768 0.00034759004 0.00022345074 0.006562831 0.052279197 0.0009186308 0.010750463 0.0007779396 0.0063393805 0.0059421347 0.05289162 0.021368511 0.00019862287 0.0001406912 0.000115863346 0.00022345074 0.00014896716 0.000107587395 0.00013241525 0.00020689884 0.053057138 0.0034759005 0.0052469545 0.0031448624 0.0060993778 0.0075228414 0.023900954 0.010659428 0.00046345338 0.00089380296 0.00073655986 0.00090207893 0.0006951801 0.0003724179 0.0006289725 0.00084414723 0.07507945 0.0045683263 0.011503575 0.007655257 0.008755959 0.0127532445 0.041479077 0.020590572 0.0017462262 0.0016634667 0.0016138109 0.002143472 0.0022096795 0.001588983 0.0014896716 0.00854906 0.046949483 0.005842823 0.008515956 0.008168366 0.0050566075 0.014656713 0.029462393 0.014797404 0.0016469148 0.0017462262 0.0015393273 0.0020276087 0.002135196 0.0015062235 0.0013820842 0.007109044 0.003360037 0.00033103814 0.0013986361 0.0013407045 0.0007282839 0.00080276746 0.0043283235 0.0024414062 0.00022345074 0.0002482786 0.00024000264 0.0002648305 0.00023172669 0.00020689884 0.00034759004 0.00045517745 0.005313162 0.00064552436 0.00084414723 0.0004965572 0.00083587127 0.00089380296 0.003186242 0.0013489804 0.00036414195 0.0003724179 0.00038069385 0.00043034958 0.00047172935 0.00041379768 0.00039724575 0.00055448886 0.00638076 0.001588983 0.0023586468 0.0019034693 0.0017131224 0.0017379503 0.0054290253 0.0032855535 0.0011420816 0.0010344941 0.0010510461 0.0011751854 0.0011834613 0.0012000132 0.0013158766 0.0013986361 0.007762844 0.0057352358 0.005544889 0.005503509 0.005288334 0.0052966103 0.0064883474 0.005892479 0.004435911 0.0040552174 0.0043283235 0.0043614274 0.00503178 0.0050731595 0.005189023 0.0047586733 710.0 30.178873 21427.0 0.08843982 0.00028002053 0.0004667009 0.0007000513 4.6670088e-05 0.00051337096 0.0003266906 0.0003266906 0.0007467214 0.0003733607 0.0003733607 0.00018668035 0.008353946 0.0004667009 0.02100154 0.0003733607 0.012787605 0.0043403185 0.0003266906 0.004293648 0.0029868856 0.004713679 0.0004200308 0.0028002053 0.00060671114 0.0009800718 0.00088673166 0.009240678 0.0004200308 0.0066738226 0.0003266906 0.00060671114 0.061137818 0.0067204926 0.0012600924 0.004200308 0.0071405238 0.0034535865 0.0017267932 0.00088673166 0.0003733607 0.0038269474 0.011620852 0.0023335044 0.001586783 0.0032202362 0.0013067625 0.0019134737 0.007840575 0.0016334531 0.004200308 0.013534326 0.00518038 0.0014467727 0.003173566 0.001073412 0.0004200308 0.0007000513 0.00018668035 4.6670088e-05 9.3340175e-05 0.0 0.046763428 0.00060671114 0.00014001026 0.040089607 0.011527512 0.028468754 0.022448312 0.0872264 0.014047697 0.011994213 0.022121623 0.05385728 0.0008400616 0.0037336072 0.021608252 0.013814346 0.050497036 0.04246978 0.009053998 0.00018668035 0.03196901 0.03663602 0.06687824 0.023241704 0.0070471833 0.01059411 0.00060671114 0.011994213 0.0017267932 9.3340175e-05 0.0 0.0 9.3340175e-05 0.0 5.0968494 0.0 0.0 0.0 1.0 61952.0 90112.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542029000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 59904.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59904.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.629062 0.0 3.2122188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59812.0 0.0 920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 67908.0 920.0 73728.0 0.0 0.0 0.0 0.0 12.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.2726117 0.029625757 0.037783943 0.014844806 0.024630597 0.009387291 0.030119319 0.010508849 0.009994161 0.006310207 0.008247008 0.0059770043 0.005142077 0.0042255293 0.006387506 0.0042788223 0.0074236034 0.011828217 0.007804818 0.008057361 0.004080533 0.0054013412 0.00813466 0.0053821364 0.0042591374 0.0020601915 0.0023122542 0.0028058167 0.0021096438 0.0026406557 0.0029810602 0.004019558 0.010281753 0.0022344748 0.0017370713 0.0013064044 0.0015843934 0.0030862063 0.0021648575 0.002207108 0.012083161 0.0012622335 0.008838515 0.0032734529 0.0047176513 0.0044996776 0.00358457 0.0020702742 0.004739737 0.0021917443 0.0026166497 0.002178781 0.001417792 0.0015709501 0.0019363208 0.0011945366 0.0021715793 0.0014014681 0.0014624431 0.0010663448 0.0011666897 0.0010980327 0.0012545516 0.0009122265 0.001586794 0.0021773407 0.0013404929 0.0026406557 0.0018791866 0.0018537403 0.0016088795 0.001521978 0.0011777325 0.0022786458 0.0009295108 0.00092278916 0.0014245138 0.0013827434 0.0015166966 0.0013870645 0.0017092244 0.00092518976 0.0019118347 0.0025671974 0.002564797 0.0012487901 0.0020044977 0.001143644 0.004487674 0.0020933198 0.0014672444 0.0008814989 0.0009587981 0.00081572257 0.0008522116 0.0036378633 0.001683298 0.008732408 0.0029714578 0.004683083 0.004635551 0.014950912 0.0023064928 0.003044916 0.0027654867 0.008285898 0.0016756161 0.002291129 0.005420546 0.0038952073 0.007952215 0.013544164 0.007338142 0.0009967275 0.012128772 0.008826512 0.011014415 0.003995552 0.001715466 0.0013500953 0.0018153308 0.0033416299 0.0028562292 0.008967667 0.0014562017 0.0044146962 0.0019070335 0.00086805556 0.0029791398 0.0020246627 0.001260313 0.0016616926 0.0013337712 0.00080900086 0.0020731548 0.0008118816 0.0011302007 0.00067744823 0.00093287166 0.0007302613 0.001554146 0.001441798 0.0018556608 0.0018378964 0.00095015595 0.0015479043 0.0009189482 0.0012430287 0.0010922712 0.00083300687 0.0013184074 0.00066496513 0.00094487466 0.0010855496 0.0010783478 0.0006462405 0.0009914462 0.0006961729 0.0009362325 0.0007485059 0.00093767286 0.000696653 0.0018422174 0.00085365196 0.0011302007 0.0009443945 0.00076867087 0.0007782733 0.0010221738 0.0007177782 0.00076915097 0.0010500207 0.0007581083 0.00060302974 0.0008987832 0.0015128556 0.002557595 0.0007389035 0.00104714 0.0006779283 0.0013332911 0.00091750786 0.00093047105 0.0006788886 0.00086517486 0.0007360228 0.00080083887 0.0010159323 0.0011412434 0.0016160813 0.00089350186 0.0011446042 0.0009996082 0.0007413041 0.000736983 0.0007504263 0.0014168319 0.0008426092 0.002122127 0.00094823545 0.0007792335 0.0006942524 0.0014912504 0.00061311224 0.0009515963 0.0007230595 0.00066208444 0.00066016393 0.001268475 0.00086325436 0.0008867802 0.0012617533 0.001204139 0.0006342375 0.0009852046 0.00063231704 0.0009165476 0.0007672305 0.00090550486 0.0006313568 0.0012790376 0.0007004939 0.0012881599 0.00087333686 0.001344814 0.0010841092 0.00061743334 0.000914147 0.0009040645 0.000636158 0.0011854144 0.0006808091 0.0007902762 0.0007667504 0.0006908916 0.00064720074 0.0007432246 0.0007043349 0.000772992 0.0006044701 0.0012391877 0.00056750095 0.0005871858 0.00058046414 0.0006668856 0.0007955576 0.00057998404 0.00066976633 0.0010264949 0.0006942524 0.0004796391 0.00046043433 0.0006087912 0.00049020175 0.0027386001 0.0018921499 0.010759 0.0034837774 4.8035537e-07 0.0 3.842843e-06 0.0009962571 0.00097199914 0.000984008 7.205331e-07 2.4017768e-07 0.000984008 0.0009844884 0.0009842482 0.0009847286 0.0009957767 1.2008885e-06 0.0009198806 0.0005144606 7.4455083e-06 3.12231e-06 3.12231e-06 9.607107e-07 0.00046042065 3.33847e-05 9.607107e-07 9.607107e-07 9.607107e-07 7.205331e-07 1.2008885e-06 4.8035537e-07 1.8974039e-05 4.8035537e-07 0.0017316812 0.00019742607 2.4017768e-07 1.8253504e-05 1.0087463e-05 0.0 0.0 0.0 7.205331e-07 3.3624876e-06 3.6026654e-06 1.9214215e-06 0.00010183534 0.00048275717 0.0003994155 0.0 0.0041221697 0.0008581549 0.00012777453 1.2969595e-05 3.3624878e-05 0.00027524363 0.00050004997 0.00031391226 1.9454394e-05 1.4891017e-05 0.0005127794 0.0009652742 0.0008706441 0.0005010107 0.00019022073 2.7620436e-05 0.0024298776 0.0017508954 5.3559626e-05 1.5131194e-05 3.4105233e-05 3.1463278e-05 2.3777591e-05 0.0004145467 1.4650839e-05 0.00015491461 0.0004083021 0.0014360225 7.925863e-06 1.1048174e-05 1.5131194e-05 8.5022904e-05 0.00673122 0.0006172567 0.00024618214 9.8472854e-05 0.00017797167 0.00052286685 0.00016211995 0.00011768707 0.00016884491 8.7905035e-05 9.0066635e-05 7.709704e-05 3.4105233e-05 5.187838e-05 0.0005062946 0.00014770929 0.04814338 0.0017129473 0.0013899083 0.0012979202 0.0012847105 0.001309689 0.005467165 0.0030132693 0.0011048174 0.001029882 0.0007548785 0.0010085062 0.00077481323 0.0010154713 0.00075199635 0.0007719311 0.03961635 0.0015570719 0.0056453766 0.0011221102 0.006969476 0.005184716 0.048356656 0.024917955 0.00033648894 7.7817574e-05 0.00010495765 6.556851e-05 5.4760512e-05 8.2621125e-05 6.268638e-05 0.00012969595 0.038770203 0.003485699 0.004007845 0.002439725 0.0031681838 0.0022509454 0.00888105 0.005559153 0.0012369151 0.00080483546 0.0010735943 0.0007219741 0.00067033595 0.0004683465 0.0004856393 0.0007419089 0.11414349 0.020676898 0.016871523 0.007669594 0.00465008 0.00525773 0.007910972 0.012770007 0.005208974 0.0031026155 0.0034218116 0.0026056878 0.0025927182 0.002783179 0.0022055518 0.0030824405 0.18171483 0.03543966 0.029908128 0.0115037905 0.005997477 0.009335467 0.011331343 0.02025923 0.010895661 0.007480094 0.0052322713 0.00647471 0.0064725485 0.005984748 0.005200808 0.0063363677 0.024902824 0.008143705 0.004491083 0.0022009884 0.0014554769 0.0023011426 0.002572063 0.0027156891 0.0023825627 0.0014405858 0.0010358864 0.0012208233 0.001042131 0.0011701457 0.0008019533 0.00114901 0.0036843258 0.0013072871 0.00070564204 0.00065640564 0.00046666525 0.0004488921 0.0007997917 0.0006165361 0.0004683465 0.00021784117 0.00031415242 0.0002207233 0.00022576703 0.0002509857 0.00018349575 0.00025458835 0.0007539178 0.0002099153 0.0001938234 0.0001119228 0.00014026377 0.00014410661 0.00018757877 8.0219346e-05 6.3166735e-05 5.9804246e-05 9.5110365e-05 8.9105924e-05 8.1180064e-05 9.0066635e-05 6.340691e-05 9.58309e-05 0.00032952378 0.0001895002 0.00011768707 5.7402467e-05 6.268638e-05 5.211856e-05 6.0524777e-05 6.148549e-05 5.6922112e-05 5.908371e-05 8.7184504e-05 6.148549e-05 6.4127446e-05 7.1572955e-05 5.716229e-05 8.7184504e-05 0.0011982465 0.001181434 0.0011689449 0.0011756698 0.0011735082 0.0011682243 0.0011641412 0.0011521324 0.0011639011 0.0011682243 0.0011701457 0.0011682243 0.001159818 0.0011538137 0.0011530931 0.0011720671 12063.0 17.493742 211027.0 0.0021987709 0.0047624237 0.0043264604 0.0011657276 0.00208978 0.0011278178 0.0009761784 0.0010140883 0.002018699 0.0009003587 0.0013552768 0.001123079 0.0019807892 0.0016632943 0.0072218245 0.0008198003 0.0055537918 0.004743469 0.004705559 0.0041463887 0.0040089656 0.004719775 0.004411758 0.0037341192 0.003757813 0.0034877053 0.00090509746 0.0010377819 0.0021371674 0.0011704663 0.002160861 0.0008908813 0.00084349397 0.011842087 0.0064209793 0.015718367 0.009681226 0.009989243 0.008524976 0.0062029976 0.0037246419 0.013107328 0.0010851691 0.0032033816 0.004937757 0.0063119885 0.0066579157 0.006392547 0.0072360407 0.0010662143 0.00943955 0.015467215 0.012718752 0.0048903693 0.0046013067 0.004264857 0.004530226 0.0027484635 0.0031986427 0.0020281766 0.001966573 0.0019618343 0.0019618343 0.02178868 0.0028384994 0.05179432 0.011131277 0.024380766 0.022290986 0.099465944 0.010538936 0.017362706 0.011444033 0.044790477 0.003990011 0.007823643 0.033455435 0.023319291 0.048571985 0.041733995 0.018078255 0.0026110404 0.050353747 0.035185073 0.06710516 0.020362323 0.007871031 0.0047671627 0.0069280234 0.01742905 0.0043169833 0.0020613477 0.0023077615 0.002194032 0.0018812759 0.0007866292 5.5600834 0.0 0.0 0.0 1.0 2082816.0 2105344.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3626576000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 2080768.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2080768.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.998439 0.0 3.254294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2080420.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 2088516.0 1000.0 2088960.0 0.0 0.0 0.0 0.0 12.0 2097152.0 56.0 2088420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.05660586 0.00829443 0.0061701452 0.0056675156 0.005755424 0.0049621784 0.004200994 0.0054213717 0.0050376765 0.005618907 0.0037511091 0.0044688564 0.0049549392 0.0031698786 0.0043230318 0.004645708 0.005035608 0.0037748963 0.004935289 0.004157557 0.0043468187 0.0031698786 0.0041079144 0.0038503942 0.005076977 0.003361209 0.0031595365 0.0029413165 0.004158591 0.003441878 0.0037935122 0.003792478 0.0061639403 0.003812128 0.003489452 0.003029225 0.004902194 0.004167899 0.0038524626 0.0037242195 0.004726377 0.0038990024 0.0033291483 0.003091278 0.004369572 0.0037273222 0.003730425 0.0035877028 0.005518588 0.003950713 0.0031078255 0.0029113241 0.003678714 0.0030736963 0.0026868987 0.0028627159 0.004163762 0.0033126008 0.0035277181 0.003351901 0.0040044924 0.003232966 0.003503931 0.0034687677 0.0065972777 0.003945542 0.0036239005 0.0032226238 0.0041606594 0.0032277948 0.0035473683 0.003067491 0.004994239 0.0037811014 0.0037107747 0.0035908055 0.0041265306 0.0031254073 0.003555642 0.0034646308 0.005171091 0.0036332083 0.0036497558 0.0033394904 0.003921755 0.0033736196 0.0033643115 0.0035349575 0.004649845 0.0036435504 0.0038079913 0.0035111706 0.00411412 0.0033880987 0.0036911245 0.0037790332 0.005912625 0.0036280372 0.0033384562 0.002957864 0.00400139 0.003047841 0.0032681294 0.0030323276 0.0049756235 0.0031698786 0.0031978025 0.0030488751 0.0035804631 0.002834792 0.0030861069 0.0031936655 0.004500917 0.0032877794 0.0032298632 0.003138852 0.003896934 0.0033322508 0.0032826085 0.0036187293 0.004620887 0.0032898479 0.0034853152 0.003171947 0.004036553 0.003195734 0.0034625623 0.003337422 0.008627447 0.004599168 0.004007595 0.0035246154 0.0043602637 0.0034346385 0.0030209513 0.003380859 0.004538149 0.0038431545 0.002963035 0.0031915973 0.0037314591 0.002801697 0.0028472026 0.0029837193 0.00522487 0.0032060763 0.0034925546 0.0030271565 0.003655961 0.0031802207 0.0033053611 0.0032629583 0.004541252 0.002839963 0.0030385328 0.0027096516 0.0035122049 0.003224692 0.0029847536 0.0031460915 0.0050087185 0.003409817 0.003271232 0.0028037655 0.0037748963 0.0030095747 0.0030612857 0.003181255 0.004130667 0.0030075063 0.0031223046 0.0030157801 0.00365079 0.0028368603 0.0029185636 0.0030281907 0.0046674265 0.0031129967 0.0038421203 0.002849271 0.0035577104 0.0031543653 0.0029857878 0.0031181676 0.004250637 0.003153331 0.0033353535 0.003185392 0.00365079 0.003195734 0.0033322508 0.0033467298 0.0067203497 0.0040717167 0.0037200826 0.003333285 0.0041172225 0.003257787 0.0033063954 0.0032277948 0.004329237 0.0033301825 0.0031119625 0.003076799 0.003645619 0.0029816509 0.0030850726 0.0028027312 0.0042496026 0.0032774373 0.0030902438 0.0030002668 0.0037097405 0.0030323276 0.0029371795 0.0029485559 0.0039807055 0.003109894 0.0027241306 0.0026403589 0.0035308208 0.002943385 0.0035814974 0.0028937424 0.004953905 0.0032350344 0.0034046462 0.0029671718 0.0038090255 0.0030736963 0.0031978025 0.0029144266 0.0044461037 0.0054503297 0.0034770414 0.00312851 0.0037935122 0.0030933465 0.0032505477 0.0032040079 0.0046105445 0.0033219086 0.0034242962 0.003047841 0.0037438697 0.003095415 0.003309498 0.003243308 0.004353024 0.0030416355 0.0031895288 0.0028616816 0.004006561 0.003091278 0.004218576 0.004509191 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 0.0045726527 0.0002935901 0.00027236048 0.00026407576 0.00030912398 0.00023870377 0.000329318 0.00031223075 0.00032621121 0.000352101 0.00032621121 0.000352101 0.0005209024 0.00015119632 0.00018640641 0.00073682313 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 0.0991475 0.062041752 0.06247359 0.055348206 0.060600206 0.059564617 0.054937594 0.054465365 0.06046403 0.05313981 0.052144606 0.052965313 0.056443345 0.050579827 0.05670535 0.053835727 4031.0 5.702803 22988.0 0.01722638 0.010396728 0.009309205 0.008787193 0.0134417955 0.012571776 0.011788759 0.011571255 0.012571776 0.009787715 0.008439186 0.008569689 0.013876805 0.010570733 0.0118322605 0.010135723 0.016747868 0.011919262 0.008700191 0.0075691664 0.009831216 0.008526187 0.007830172 0.008352184 0.010396728 0.008395685 0.009700714 0.0088306945 0.011614756 0.008961197 0.0096572125 0.009178702 0.018009396 0.010875239 0.010353228 0.0090917 0.010962241 0.008787193 0.010657734 0.008265181 0.014181312 0.011571255 0.009744215 0.008917696 0.011440752 0.009309205 0.011658257 0.00952671 0.014790325 0.009613711 0.009961719 0.009048199 0.012006264 0.009352705 0.00957021 0.009744215 0.0136593 0.009222203 0.010483731 0.00957021 0.011136245 0.009787715 0.010396728 0.010701235 0.017922394 0.010962241 0.0096572125 0.008221681 0.013093788 0.008221681 0.009396207 0.008352184 0.015399339 0.009265704 0.008874196 0.008700191 0.01135375 0.008047677 0.009874717 0.007873673 0.013311293 0.008047677 0.008787193 0.008787193 0.011571255 0.009483209 0.00817818 0.007830172 0.010875239 0.008874196 0.011919262 0.008569689 0.01135375 0.009004698 0.0099182185 0.008787193 6.5545535 0.0 0.0 0.0 14.0 966914.0 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: 0.11165631 0.0037284156 0.002329907 0.0027716155 0.0023637759 0.0006646797 0.00083120243 0.0012235186 0.0058960333 0.00036691446 0.0012573877 0.0006519788 0.0019319458 0.00067596935 0.00049251213 0.0013293594 0.0072098696 0.0044340203 0.002290393 0.0004120732 0.0010809865 0.01124734 0.0005376708 0.00024413924 0.0031611093 0.00030623245 0.00022297111 0.00025966254 0.001488826 0.0005419045 0.00021309264 0.00020885901 0.0029254374 0.00021873748 0.00032316698 0.00040501714 0.0011346125 0.0005898856 0.0005362596 0.00023849441 0.003825789 0.00020039175 0.00017357877 0.00021027021 0.0011995281 0.00022861594 0.00039090504 0.0002667186 0.00409533 0.00081709033 0.00082132395 0.002128104 0.0015607977 0.0005785959 0.000565895 0.0014027422 0.0033318656 0.00045017584 0.00023849441 0.0004614655 0.0011233228 0.000444531 0.00017498998 0.00023426078 0.013644985 0.0038949384 0.0021168143 0.0008523706 0.0028478208 0.0044340203 0.00038243778 0.0010795753 0.0039259847 0.0011049771 0.00130678 0.0005136803 0.0012602101 0.0070532253 0.0009553888 0.00033163425 0.042182464 0.021657832 0.021657832 0.0015565641 0.0034645193 0.002801251 0.0013632284 0.0008481369 0.0038130882 0.00037820416 0.00015241063 0.0002667186 0.0011063883 0.00073665136 0.0003993723 0.0010019587 0.000922931 0.0012630326 0.00059129676 0.00046993277 0.0031074833 0.0016384142 0.0022395896 0.00037820416 0.0066453856 0.001151547 0.0149814 0.00022297111 0.004088274 0.00077898765 0.0008904732 0.0010160708 0.0018867871 0.00019756933 0.0013251257 0.00089611806 0.00248514 0.0013350042 0.00068020297 0.00096808973 0.003079259 0.00033163425 0.000505213 0.00019474691 0.0018613853 0.0020335529 0.0002060366 0.0006392779 0.0022649912 0.0004572319 0.00016511152 0.0018345724 0.0012630326 0.023249676 0.00040642833 0.0003993723 0.004175769 0.010077448 0.00021450385 0.016762346 0.0022057204 0.09497299 0.00020462538 0.00029776522 0.002304505 0.0006675021 0.0007267729 0.00021873748 0.0034772202 0.019423887 0.00024131683 0.00016934515 0.0028972132 0.0013999199 0.00016934515 0.00021168143 0.0012503316 0.0040798066 0.0001637003 0.00023284958 0.0012771446 0.0005560166 0.00029776522 0.00020039175 0.0013660508 0.00017922361 0.0001919245 0.00017498998 0.0041997596 0.0001495882 0.00022014868 0.00015805547 0.0013589947 0.00024696166 0.0005884744 0.00066185725 0.0013858078 0.00066609087 0.0007691092 0.0006590348 0.0016948626 0.0010301829 0.0007126608 0.0007705204 0.003604229 0.0009342207 0.0009313983 0.00082555757 0.0020970574 0.0018091706 0.00070560473 0.00077475404 0.0031131282 0.0007211281 0.00084108085 0.0011077995 0.0023665985 0.00065762363 0.0007874549 0.0025909806 0.0044072075 0.00070842716 0.0007564083 0.0007535859 0.0036352756 0.0006816142 0.00066609087 0.00071971683 0.008884975 0.00064351154 0.0007098384 0.002767382 0.0017894136 0.0006209322 0.015778733 0.012223897 0.0040445263 0.0008156791 0.00072253926 0.0025754573 0.0021831412 0.00088765076 0.00071689446 0.000862249 0.0020053287 0.0008199127 0.0019418243 0.0007338289 0.0025952144 0.0010061924 0.0012348084 0.0011233228 0.0056406045 0.0012954903 0.0010527623 0.0015297511 0.0035477807 0.0011543694 0.001044295 0.0019404131 0.0027292792 0.0019361795 0.0013688733 0.0015833771 0.0017202644 0.0011275564 0.0025359434 0.0018769087 0.0044622445 0.0015861995 0.0017640119 0.0024272804 0.0049349996 0.0064633396 0.009402889 0.20546082 0.020232933 7.0662986e-07 2.1198896e-06 0.0 7.0662986e-07 0.0 0.0 0.0 7.0662986e-07 0.0 0.0 0.0 0.0 0.0 0.0 2.3318786e-05 0.0013948873 6.359669e-06 5.653039e-06 5.653039e-06 5.653039e-06 0.0 1.4839227e-05 5.653039e-06 2.8265194e-06 0.0 0.0 0.0 0.0 1.4132597e-06 0.0 4.239779e-06 0.0026265432 1.3425968e-05 1.6252487e-05 7.772929e-06 3.6038124e-05 4.3811055e-05 7.490277e-05 4.663757e-05 7.0662986e-07 3.5331493e-06 7.772929e-06 4.9464093e-06 2.1198896e-06 7.0662986e-07 2.1198896e-06 7.0662986e-06 0.002541041 1.0599449e-05 3.1091717e-05 1.8372377e-05 0.0021962058 0.00073630834 5.017072e-05 5.4410502e-05 3.1091717e-05 2.4025416e-05 1.9785637e-05 2.7558566e-05 2.6851936e-05 1.3425968e-05 6.924973e-05 0.0013857012 0.00230644 2.8265194e-05 4.451768e-05 4.0277904e-05 0.0010733708 0.00037310057 6.712984e-05 0.00014697901 4.451768e-05 2.5438676e-05 2.4025416e-05 2.6851936e-05 2.0492267e-05 1.2012708e-05 0.00010387459 0.0014514178 0.0031812477 5.723702e-05 8.055581e-05 5.4410502e-05 0.00054905144 2.0492267e-05 8.6915476e-05 8.055581e-05 4.451768e-05 2.2612156e-05 4.2397794e-05 5.1583982e-05 1.6252487e-05 1.4132597e-05 0.0003879398 0.0025459875 0.011942752 0.00019079007 0.00043175087 0.00022824145 0.0016831923 0.000108821005 0.00024944035 0.00015333868 0.00010670111 4.593094e-05 0.00014556576 0.00030102432 5.935691e-05 0.000110234265 0.00062112766 0.0024350465 0.0073878155 0.00013567293 0.000250147 0.00019290995 0.0008938868 0.0002480271 0.0006479796 0.0004515365 0.00016605802 5.0877352e-05 0.00012224697 0.00018725693 0.00011659393 0.00012578012 0.00024520056 0.0018026128 0.0047951904 0.00022612156 0.0003165702 0.00026074643 0.0007787061 6.642321e-05 0.0002762923 0.00014273924 0.0001632315 0.00011447404 0.00019220333 0.0003116238 0.00018584366 0.00021198897 0.0009553636 0.0025799058 0.003923916 0.00013637957 0.00020916245 0.00019290995 0.0005539978 0.00065151276 0.0003879398 0.00039995252 0.0007136962 0.00018725693 0.00019432322 0.00012719337 7.772929e-05 0.00023672101 7.914255e-05 0.0020584129 0.011453057 0.0016330216 0.0014924023 0.001678246 0.00294382 0.015938036 0.0037620976 0.0024124344 0.024537016 0.0061236545 0.0013425968 0.0016146493 0.0017814139 0.007394175 0.0064684898 0.044012442 0.02020255 0.00736379 0.0032603904 0.00416205 0.007017541 0.0420042 0.008857606 0.0046001608 0.061765812 0.015244126 0.002934634 0.00864067 0.010405832 0.020965002 0.008018836 0.09438314 0.01555999 0.008448467 0.0026526887 0.0078683235 0.008851953 0.021280158 0.014252018 0.0026145305 0.035901744 0.007703679 0.0028039075 0.0037642175 0.0048517208 0.014863253 0.004540804 0.061119244 0.021918247 0.011175351 0.0022096317 0.0018570233 0.0131949 0.01595641 0.007829459 0.004595921 0.027709078 0.005223408 0.0018973013 0.0024315135 0.0042489655 0.008837113 0.0042433124 0.03165066 0.0069998754 0.0033098543 0.0005010006 0.00072217576 0.004095627 0.004700502 0.0025120692 0.0016450344 0.0066797724 0.0017270035 0.00080979784 0.00066140556 0.0014881626 0.0023361184 0.0016535139 0.0050206054 0.0013093852 0.001158873 0.0013659155 0.0011631128 0.0013348239 0.0012125769 0.0013517829 0.0012903062 0.0013143315 0.0011892581 0.001300199 0.001242962 0.0012662808 0.001185725 0.0013164515 0.0012585078 1316.0 13.246961 17433.0 0.010382608 0.002294499 0.006998222 0.008547009 0.0016061492 0.0018929617 0.002409224 0.0016635117 0.011300407 0.0013766993 0.0013766993 0.0022371365 0.0020076865 0.0030975735 0.0049905353 0.0035564734 0.003613836 0.009292721 0.004130098 0.005965697 0.004015373 0.0027533986 0.0027533986 0.0023518614 0.003040211 0.0014340618 0.0027533986 0.0023518614 0.0029828486 0.0018929617 0.0026386739 0.0018929617 0.002409224 0.034933746 0.003900648 0.009005908 0.061894108 0.005506797 0.006080422 0.034245398 0.002523949 0.03573682 0.0026960364 0.0040727356 0.009866346 0.007629209 0.0328687 0.0061377846 0.032753974 0.002409224 0.0059083346 0.009694258 0.007342397 0.003154936 0.007973384 0.0029828486 0.032295074 0.0047610854 0.002065049 0.002179774 0.0022371365 0.0018929617 0.0036711984 0.029599037 0.0024665864 0.038547583 0.019159066 0.011587219 0.019159066 0.035622098 0.009235358 0.008547009 0.011816669 0.031721447 0.011529857 0.0045316354 0.018126542 0.020535765 0.016577754 0.019159066 0.012791832 0.0026960364 0.027533988 0.018241266 0.028451787 0.009923708 0.018011816 0.019044342 0.005736247 0.006768772 0.013021282 0.002925486 0.0026960364 0.008489646 0.0026386739 0.012677107 5.9056883 1.0 0.0 0.0 2.0 708612.0 720896.0 0.0 0.0 122.0 0.0 1.0 0.0 0.0 0.0 1501647500.0 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 2.0 8.0 6.0 0.0 4.0 0.0 4.0 0.0 659456.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -659456.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5059786 0.0 6.2463694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -656648.0 0.0 36984.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 658020.0 36984.0 679936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 668.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.10921144 0.0044141756 0.008355404 0.0030505108 0.0033973388 0.0027036828 0.002743095 0.0031608653 0.0029953336 0.0032160424 0.0024435616 0.0027509774 0.0027036828 0.0024987387 0.0026879178 0.0030110986 0.0033579266 0.002845567 0.0027903898 0.0030426283 0.0032002775 0.0031293354 0.003003216 0.0031687475 0.0031293354 0.002861332 0.0030189808 0.0032002775 0.0027825073 0.0034998108 0.002916509 0.003554988 0.004895006 0.004918653 0.0043038214 0.0035471055 0.0034603986 0.003365809 0.003365809 0.0028692142 0.0029953336 0.002916509 0.0025460336 0.00830811 0.0031687475 0.0039964058 0.003263337 0.003247572 0.005052655 0.0052497163 0.0050999494 0.0054783076 0.006108904 0.004295939 0.0043195863 0.004177702 0.0038860512 0.0038781688 0.0038781688 0.0042171143 0.004209232 0.0042565265 0.0037993442 0.0041304072 0.0053206584 0.005817253 0.0050999494 0.004690062 0.0058251354 0.0043274686 0.0045954725 0.0054625426 0.003988523 0.0044299406 0.0042171143 0.004051583 0.004177702 0.004083113 0.004035818 0.0036811074 0.0040121707 0.0030347458 0.003003216 0.003381574 0.0033500441 0.002900744 0.0036101653 0.008418464 0.0031372178 0.002932274 0.0029086266 0.0031608653 0.008134696 0.0029243915 0.0029086266 0.0030189808 0.0029559212 0.008883528 0.0080874 0.0032869845 0.0035076933 0.009498361 0.003223925 0.003263337 0.0032396899 0.0033342792 0.008174107 0.0029559212 0.0037205196 0.0025854458 0.0030347458 0.0036968722 0.0029953336 0.0028849791 0.0040988773 0.0037047546 0.0035471055 0.0031214529 0.0028849791 0.002900744 0.0027509774 0.0026721528 0.0025145037 0.0024750915 0.0025066212 0.008426346 0.0033500441 0.0038466388 0.0029086266 0.0030978054 0.0027509774 0.0030662757 0.0027825073 0.0032396899 0.0076459832 0.00275886 0.0029795687 0.0027509774 0.0026563879 0.003830874 0.0023095598 0.003003216 0.002435679 0.0025933282 0.0024987387 0.0025145037 0.0026800353 0.0025223861 0.0026248582 0.0026800353 0.0025617986 0.0027352124 0.002380502 0.0026563879 0.0026406231 0.0026248582 0.0024041494 0.0024987387 0.0077878674 0.0025460336 0.0077248076 0.002482974 0.0024277966 0.0026169757 0.0024908565 0.0021361457 0.0022307353 0.002104616 0.0024199144 0.0026800353 0.0027352124 0.007519864 0.0025933282 0.0022859124 0.0024199144 0.0030505108 0.0030426283 0.002467209 0.0027194475 0.0026879178 0.002569681 0.0026485054 0.0076381005 0.0026012107 0.0026012107 0.0025302686 0.0022543827 0.008063753 0.002916509 0.0024750915 0.0029716862 0.0025066212 0.002916509 0.0026012107 0.0029401565 0.007559276 0.0026406231 0.0024593265 0.0024908565 0.002451444 0.0026248582 0.0025775633 0.0023883844 0.0025854458 0.0028692142 0.0022386177 0.0022937949 0.0025775633 0.0028376845 0.0025066212 0.0032002775 0.002538151 0.0026406231 0.002380502 0.0025145037 0.0071888007 0.0026248582 0.0028376845 0.0023726195 0.0026800353 0.002829802 0.008268697 0.0034209862 0.0028692142 0.0030268633 0.0025223861 0.0028770966 0.002482974 0.0028692142 0.002798272 0.0026879178 0.0024987387 0.0033185142 0.002798272 0.0039096987 0.0027036828 0.0029953336 0.0027352124 0.0025854458 0.0026406231 0.0025854458 0.007819397 0.0027667424 0.002435679 0.0028770966 0.0026090932 0.0026800353 0.0028770966 0.0030583933 0.0024593265 0.0024199144 0.0026327407 0.0027036828 0.002435679 0.002569681 0.005092067 0.024590164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-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 0.0063916817 2.4013832e-05 2.0011526e-05 8.00461e-06 0.0001480853 3.602075e-05 5.202997e-05 0.00027615906 0.000576332 0.0 3.201844e-05 3.602075e-05 0.00012006916 8.00461e-06 0.00010405994 0.0003642098 0.019927477 0.00021212218 8.0046106e-05 0.013615843 0.014112129 0.00017610143 0.00010405994 0.00013207608 0.00010405994 0.00012006916 0.00011206455 8.8050714e-05 0.00012006916 9.205302e-05 0.000116066854 6.803919e-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 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.012255059 0.0009605533 0.0018810835 0.0010005763 0.002109215 0.00090452103 0.001192687 0.0007244173 0.000956551 0.00018810834 0.00042424435 0.0003642098 0.00034820056 0.00040423285 0.0003602075 0.0005162974 0.0032978996 0.00020411758 0.00043625128 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0013487769 0.00019211066 0.00017209913 0.000108062246 0.00023613601 7.20415e-05 3.602075e-05 0.0006603804 0.00016009221 0.005387103 0.0008164703 0.0003682121 0.0015689037 0.002189261 0.0006923988 0.0018970927 0.0012126985 0.00032818902 0.00027215676 0.00025214523 0.00020811988 0.0002961706 0.00032818902 0.0003602075 0.00021612449 0.0073602395 0.0012287077 0.0022933208 0.002961706 0.001324763 0.0038662269 0.0067678983 0.0038181993 0.00282963 0.0016409452 0.002961706 0.0032018442 0.001953125 0.0031738281 0.0012287077 0.00256948 0.0090812305 0.001953125 0.006011463 0.0029537014 0.004990875 0.005847368 0.008897125 0.0037701717 0.0039422708 0.002661533 0.0048067686 0.0049228356 0.0030497566 0.005527184 0.0015128714 0.0038422132 0.04430552 0.04425749 0.0500008 0.04416944 0.045101978 0.048620004 0.052218076 0.041659996 0.041419856 0.041351818 0.041151702 0.04326492 0.04019115 0.044221472 0.04093958 0.04204422 1806.0 6.3992248 11557.0 0.01211387 0.018863026 0.0051051313 0.0032880506 0.0047590206 0.004326382 0.0038072164 0.00441291 0.003634161 0.0035476335 0.0028554122 0.049839925 0.003634161 0.004845548 0.0040667993 0.0038072164 0.01618067 0.016440252 0.017392056 0.019209137 0.017219001 0.009344986 0.0119408155 0.0089988755 0.008739293 0.008739293 0.011162066 0.009258458 0.009258458 0.010210263 0.01029679 0.011508177 0.011248594 0.017565113 0.010210263 0.014017479 0.017132474 0.010989011 0.012286926 0.021891495 0.0106429 0.012892619 0.008652764 0.011594704 0.010815956 0.011075539 0.012459981 0.009691096 0.013065674 0.0039802715 0.004585965 0.0069222115 0.003893744 0.0030284675 0.005364714 0.050099507 0.00588388 0.00441291 0.0038072164 0.004672493 0.04741715 0.0047590206 0.004585965 0.0050186035 0.0039802715 0.008739293 0.0049320757 0.0074413777 0.008306654 0.017045947 0.0050186035 0.005624297 0.0059704077 0.010123734 0.046984512 0.004845548 0.011681233 0.005797352 0.007874016 0.0104698455 0.0044994378 0.004585965 0.012459981 0.007960543 0.012373453 0.0050186035 0.0040667993 0.0051051313 0.0038072164 0.0047590206 0.002682357 0.0023362464 0.0034611057 0.046984512 0.0040667993 0.007527905 6.1364803 0.0 0.0 0.0 4.0 126864.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 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 -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 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.35575655 0.0028472932 0.0026213778 0.0026228966 0.0027409801 0.0026278326 0.0024370383 0.0024590604 0.002673775 0.0024328618 0.0024260273 0.0024484291 0.0025659432 0.0024579214 0.002406853 0.0026265036 0.002628212 0.0024450119 0.0023884382 0.0023783764 0.002562336 0.0025266453 0.00236186 0.0023816037 0.0025040538 0.002426597 0.00244729 0.0024074225 0.0024197625 0.0024030562 0.0024136875 0.0024269766 0.0026242256 0.0024505174 0.0024376079 0.0024171048 0.0030172043 0.0024377978 0.0024336213 0.0024480494 0.0024991177 0.002415586 0.002409321 0.0026008745 0.00247178 0.0024000187 0.002465895 0.0025775237 0.0026576382 0.0027069978 0.0026466271 0.0027113643 0.0026090378 0.0026037223 0.0026118855 0.0025993558 0.0026654217 0.0026612452 0.0024286853 0.0025496164 0.0024846895 0.0024376079 0.00238635 0.0024672237 0.0026855452 0.0027669887 0.0026437794 0.0026377044 0.002780088 0.002852609 0.002712883 0.0026612452 0.0033659493 0.002666561 0.0025701197 0.002622137 0.0027628122 0.0026995938 0.0026483356 0.002593091 0.002732437 0.0026365654 0.0026802297 0.0026912407 0.0027233246 0.0026849757 0.002720287 0.0027130728 0.0026910508 0.0026637132 0.0026010643 0.002432672 0.0024429236 0.0024846895 0.002457162 0.0025418329 0.0024736784 0.0026540312 0.0026479561 0.0026851657 0.0026678897 0.0027011125 0.0026845962 0.0026118855 0.0026937088 0.0026817485 0.0027276909 0.002577144 0.0026612452 0.0026392231 0.002654221 0.0026593467 0.0026508037 0.0025860667 0.0026644727 0.002660296 0.0029520874 0.002809514 0.0025925213 0.0026042918 0.0026301106 0.0025750557 0.0025921417 0.0024030562 0.0024810825 0.0024512769 0.0024554534 0.002445961 0.0024761464 0.0025032943 0.0024176743 0.0028089446 0.0027406004 0.0026783312 0.0024408353 0.0024522261 0.0025093693 0.0029355711 0.0024689324 0.0033095654 0.0024212813 0.002607519 0.0023952725 0.0024028663 0.0024862082 0.002425268 0.0024182438 0.0024150165 0.0024144468 0.0023973607 0.0024503276 0.0023793257 0.002345533 0.002399639 0.0024098905 0.0024201423 0.0024408353 0.0024150165 0.0024237493 0.002418054 0.0024226103 0.0024484291 0.00243514 0.002409321 0.0024486189 0.0024283056 0.0024055243 0.00241065 0.0024343806 0.0024097008 0.0024127383 0.0024030562 0.0023723014 0.002394893 0.0024040055 0.0023385088 0.002409321 0.0024157758 0.0024040055 0.002428875 0.0024076125 0.0024256478 0.0024510869 0.002419193 0.0024843097 0.0024617182 0.0024617182 0.0024140673 0.002409321 0.0024273563 0.0024248883 0.0024267868 0.0026730157 0.0025300623 0.0024698817 0.0025687907 0.002485259 0.002380085 0.0027142118 0.0025864462 0.002504813 0.0024554534 0.0024400759 0.0024406456 0.0025285436 0.0024041953 0.0024355196 0.0024332416 0.0024476696 0.002420332 0.0024685527 0.0024493784 0.002400778 0.002419003 0.0024379876 0.0024495681 0.0024522261 0.002402107 0.0024165353 0.0024246986 0.0024279258 0.0023736302 0.0024319126 0.0024210915 0.002444822 0.0024091313 0.00239831 0.0023977405 0.0024345703 0.002378946 0.0023867295 0.0024484291 0.0026817485 0.0024376079 0.002427736 0.0025236076 0.0025479079 0.0023622396 0.002419193 0.0024341908 0.0025069013 0.0024017273 0.0024379876 0.0024712104 0.0024355196 0.0024134978 0.0024674137 0.0024489986 0.0025384156 0.002453555 0.0024465306 0.0024341908 0.0025177225 0.002430204 0.0024812722 0.0032630535 0.34258783 0.0 1.2342322e-06 5.6964564e-07 2.2785825e-06 2.3735236e-06 3.9875194e-06 3.3229328e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003742572 9.494094e-07 1.1392913e-06 8.5446845e-07 8.5446845e-07 1.1392913e-06 7.595275e-07 1.2342322e-06 5.6964564e-07 3.7976375e-07 1.1392913e-06 7.595275e-07 8.5446845e-07 1.1392913e-06 1.2342322e-06 1.613996e-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 0.002223137 2.6488522e-05 3.4653443e-05 1.5855137e-05 2.3450411e-05 3.0286159e-05 7.1110764e-05 3.256474e-05 1.1392913e-05 6.550925e-06 1.1392913e-05 9.589035e-06 1.1487854e-05 4.9369287e-06 6.07622e-06 8.734566e-06 0.0006554722 8.06998e-06 1.12979715e-05 4.1774015e-06 1.1962558e-05 1.1013149e-05 2.6773345e-05 1.5855137e-05 3.3229328e-06 1.9937597e-06 3.133051e-06 2.7532872e-06 2.5634054e-06 1.3196791e-05 1.9937597e-06 4.1774015e-06 0.00031112146 2.0887007e-06 3.9875194e-06 2.0887007e-06 2.0887007e-06 1.7089369e-06 1.4241141e-06 4.0824602e-06 1.5285492e-05 9.589035e-06 1.8513483e-05 2.0887007e-06 3.03811e-06 3.9875194e-06 2.5634054e-06 5.2217515e-06 0.0008665259 3.522309e-05 2.6678405e-05 2.4115e-05 1.5190551e-05 3.1045685e-05 2.6108759e-05 2.4589703e-05 4.072966e-05 1.0918208e-05 7.975039e-06 1.519055e-06 1.4241141e-05 4.747047e-06 9.683976e-06 2.734299e-05 0.0009297566 1.4620905e-05 3.7596612e-05 2.231112e-05 3.5697794e-05 2.4399822e-05 9.06686e-05 5.9338086e-05 3.161533e-05 8.924449e-06 1.1487854e-05 1.5760195e-05 1.6804546e-05 2.012748e-05 1.12979715e-05 3.0665924e-05 0.00033039445 6.455984e-06 1.6804546e-05 9.399153e-06 2.1551594e-05 1.5855137e-05 9.190283e-05 4.7660353e-05 7.975039e-06 4.841988e-06 5.03187e-06 5.1268107e-06 5.03187e-06 5.03187e-06 4.747047e-06 5.5065743e-06 0.00043302562 2.2406062e-05 0.0001973822 0.0009192182 0.0014213608 0.0010457744 0.0014436719 0.0010345714 2.7153108e-05 8.639626e-06 5.981279e-06 1.1962558e-05 1.2911968e-05 7.2155112e-06 7.500334e-06 1.215244e-05 0.0012021422 5.848362e-05 0.0003483383 0.00092083216 0.0014705402 0.001086694 0.0014264876 0.0010381792 0.00022092757 3.66472e-05 5.1457988e-05 4.547671e-05 0.00014279118 3.5982615e-05 3.0760864e-05 5.069846e-05 0.00076512905 5.1363048e-05 0.00016424783 0.00014317094 0.0002618471 0.00016937463 0.00016576688 0.00013586048 0.00017060887 2.3925117e-05 1.813372e-05 2.1171829e-05 0.0001319679 2.7627813e-05 3.3988857e-05 4.9084465e-05 0.0009353581 6.7977715e-05 8.734567e-05 0.00010927702 0.00022387074 0.00015798172 7.395899e-05 9.778917e-05 0.00028074035 3.3893913e-05 2.5159348e-05 4.547671e-05 0.00013718965 4.2153777e-05 7.775663e-05 0.00013177803 0.0030689659 0.00046198262 0.00049919944 0.0004944524 0.0013909797 0.0007720597 0.0003091277 0.000533663 0.0016818787 0.00016434277 0.00017915355 0.0002827341 0.0008679501 0.00026592956 0.00048809138 0.0009835882 0.0011485006 0.0002567203 0.00029042433 0.0002152311 0.0005853109 0.00034406595 0.00017203297 0.00026355605 0.00076104654 9.9213285e-05 9.2662354e-05 9.6744814e-05 0.00042562024 0.00014155694 0.00025823936 0.00048780654 0.03822199 0.03811271 0.038391456 0.038352437 0.038209077 0.03820955 0.03852143 0.038268223 0.0383231 0.03825645 0.03815439 0.038337722 0.038285315 0.03827696 0.038206037 0.03835614 15885.0 9.813409 155886.0 0.006639467 0.006030048 0.0058183544 0.005625906 0.0062545706 0.0060877823 0.006004388 0.0057157152 0.005728545 0.00573496 0.005997973 0.011893307 0.0062289108 0.0055040224 0.0065239985 0.011841987 0.01211783 0.011957456 0.012303863 0.012393672 0.011957456 0.011963871 0.0120665105 0.011912552 0.012541216 0.012772154 0.0058375993 0.005728545 0.0055810013 0.0054655327 0.005593831 0.0059402385 0.0058247694 0.01431174 0.01207934 0.013272519 0.012881208 0.013080072 0.012945358 0.012303863 0.012829889 0.012451407 0.011893307 0.012496311 0.013381573 0.01218198 0.012784984 0.012477066 0.012509141 0.012368012 0.013535532 0.013445723 0.012874793 0.012849133 0.012958188 0.012708005 0.012393672 0.012361597 0.012521971 0.005645151 0.005972313 0.0061583463 0.005997973 0.008551121 0.0057798647 0.0133623285 0.011713688 0.013054412 0.0136189265 0.014555508 0.012297448 0.012605365 0.01268876 0.013195541 0.012894038 0.0114314305 0.013067242 0.012451407 0.013522702 0.013593267 0.012400087 0.011636709 0.013676661 0.013381573 0.014100048 0.012361597 0.012566876 0.011963871 0.0120665105 0.012566876 0.011726518 0.00573496 0.005529682 0.005548927 0.0055617564 0.005536097 6.5086985 6.0 0.0 0.0 91.0 5267459.0 5267456.0 0.0 1.0 13.0 1.0 1.0 0.0 0.0 0.0 1494505300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 4096.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 5246976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2366767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.72655296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8698554 0.0 6.1076913 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -652.0 0.0 5242976.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 8592.0 60.0 8252.0 5242976.0 16384.0 0.0 0.0 0.0 0.0 92.0 5263360.0 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 8192.0 0.0 0.0 0.0 0.0