Input: 0.2596588 0.019172668 0.010790507 0.0058492026 0.0088272095 0.0035680134 0.018351236 0.003768921 0.005086263 0.0039342246 0.0043640137 0.0063298545 0.002627055 0.002840678 0.0043589273 0.0061060586 0.003926595 0.009310405 0.009076436 0.0064290366 0.002108256 0.0018717448 0.004544576 0.0028635662 0.002067566 0.00146993 0.0021438599 0.0020599365 0.0014470419 0.0008875529 0.0015029907 0.0029830933 0.011329651 0.0014801025 0.0013554891 0.005243937 0.0062942505 0.0021260579 0.0029017131 0.000773112 0.0112559 0.0048599243 0.0019505819 0.0013936361 0.0040308633 0.0014546713 0.0033518474 0.00082906085 0.0040893555 0.0020523071 0.0019938152 0.0018539429 0.0016911825 0.0015131632 0.0014343262 0.0010630289 0.0012893677 0.0012156168 0.0044021606 0.0008087158 0.004058838 0.0010147095 0.00373586 0.008206685 0.015274048 0.009099324 0.0029093425 0.003768921 0.0040105185 0.002665202 0.0015538534 0.0030415852 0.0017242432 0.0025100708 0.0036824543 0.0012435913 0.001546224 0.0016148885 0.0015869141 0.0012486776 0.0025558472 0.0011901855 0.001546224 0.0019276937 0.0030136108 0.0015360514 0.001780192 0.0013478597 0.0052337646 0.0017217001 0.0014953613 0.00065612793 0.0011164347 0.0012359619 0.000773112 0.010823567 0.002263387 0.014806111 0.0026982625 0.0096588135 0.006963094 0.0110651655 0.0016810099 0.0028483074 0.005259196 0.009770711 0.0008468628 0.001083374 0.0069885254 0.0035756428 0.006538391 0.00928243 0.004041036 0.001276652 0.014745076 0.012311299 0.020484924 0.0034281414 0.0014597574 0.002726237 0.0024236043 0.0022786458 0.0013834635 0.0015614828 0.0010706583 0.0011291504 0.0016911825 0.0029067993 0.005007426 0.0030288696 0.0010096232 0.0012410482 0.0006790161 0.0016072592 0.000541687 0.00068918866 0.0010223389 0.0010223389 0.0007960002 0.0015818278 0.0011088053 0.00079345703 0.00077056885 0.0010782877 0.0011825562 0.0009333293 0.00085194904 0.00097147626 0.0010630289 0.0014216105 0.0012130737 0.00095621747 0.0011444092 0.0009053548 0.0008875529 0.00085703534 0.0011062622 0.00089263916 0.000869751 0.001042684 0.0018412272 0.0010910034 0.00081380206 0.0014241537 0.0009816488 0.00083414715 0.002049764 0.0009053548 0.0009206136 0.0006306966 0.0006586711 0.00055948895 0.0010706583 0.00074768066 0.0006510417 0.00071207684 0.0009333293 0.00048828125 0.00058237714 0.0013936361 0.0006434123 0.0006612142 0.0019810994 0.0009180705 0.00083414715 0.00083669025 0.00069936115 0.00092315674 0.0012029012 0.0011113485 0.00071461994 0.0011291504 0.0019073486 0.0007883708 0.0007375081 0.0011749268 0.0008799235 0.0006357829 0.0006230672 0.0008087158 0.0012817383 0.00081888837 0.0009129842 0.0009765625 0.0034383137 0.0008977254 0.00093078613 0.0011952718 0.0016784668 0.0011571249 0.001759847 0.0012232462 0.0011266073 0.0013097128 0.0017064413 0.0012639364 0.0018641154 0.0012842814 0.0011011759 0.0010859171 0.0029652913 0.0012257894 0.0037816365 0.0014750162 0.0023905437 0.0017827352 0.0019378662 0.0020929973 0.002087911 0.0019302368 0.0022862752 0.0025100708 0.0025812786 0.0026957195 0.0031611125 0.001876831 0.0018234253 0.0011164347 0.0015157064 0.001546224 0.0021718342 0.0015385946 0.0016098022 0.0013885498 0.0013249716 0.0012283325 0.0012613932 0.0020039876 0.0011774699 0.00097401935 0.0012105306 0.0009943644 0.0016835531 0.0014928182 0.0038045247 0.042500813 0.0025854683 0.0 0.0 1.2748857e-05 0.0 0.0 0.0 0.0 0.0 1.2748858e-06 0.0 1.2748858e-06 0.0 2.5497716e-06 5.099543e-06 2.5497716e-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 0.0024082593 0.0 0.0 1.2748858e-06 0.0 2.5497716e-06 1.2748857e-05 2.0398173e-05 3.824657e-06 0.0 0.0 2.5497716e-06 1.6573515e-05 1.5298629e-05 2.0398173e-05 0.0001070904 0.006744146 2.5497716e-06 7.649314e-06 1.0199086e-05 0.0 1.40237435e-05 2.8047487e-05 0.00011218995 1.2748857e-05 1.2748858e-06 2.5497716e-06 1.2748857e-05 3.314703e-05 3.0597257e-05 0.00017593424 0.0006450922 0.004363934 3.1872143e-05 4.589589e-05 3.314703e-05 7.011872e-05 2.4222829e-05 5.2270316e-05 4.589589e-05 4.4621003e-05 7.649314e-06 1.1473972e-05 2.8047487e-05 4.9720544e-05 5.099543e-05 0.0001070904 0.00025497715 0.0020461916 3.824657e-06 3.824657e-06 1.2748858e-06 2.5497716e-06 1.78484e-05 2.1673059e-05 4.207123e-05 8.9242e-06 2.5497716e-06 7.649314e-06 1.40237435e-05 2.9322373e-05 3.314703e-05 6.24694e-05 0.0003136219 0.015338151 0.00010454063 9.051689e-05 5.4820088e-05 0.00024860274 0.00015808584 0.00032892052 0.0004041388 0.00033784474 0.00011473972 0.00014533698 0.0001708347 0.00020653149 0.00042198718 0.00077385566 0.001988822 0.026688458 0.0018932053 0.0029296875 0.0017873899 0.0010607049 0.00087329675 0.004878988 0.0039546955 0.0005048548 0.00022820455 0.00021035616 0.00040031414 0.0005188785 0.0010849278 0.000814652 0.0017797406 0.058691915 0.007154659 0.012300098 0.012520653 0.011749348 0.0077041346 0.041923344 0.028423578 0.0011537716 0.0006999123 0.0013539287 0.0013411798 0.0014648438 0.0023368655 0.0029309625 0.006684226 0.13953242 0.021638636 0.021170754 0.009622837 0.017340995 0.009653435 0.013094352 0.011810542 0.005536829 0.0048802625 0.0042568436 0.002979408 0.0039661694 0.009829369 0.012820251 0.03040475 0.05183303 0.008145245 0.012013248 0.0063094096 0.014042866 0.008729143 0.02046829 0.01669973 0.003024029 0.0031068965 0.0016573515 0.0018600583 0.0026836346 0.0031515176 0.0063782535 0.012221055 0.023012962 0.0069022314 0.0038909514 0.0020334427 0.0028723176 0.0023636383 0.006444548 0.0050383485 0.0021838793 0.00059027213 0.0007623817 0.00067951414 0.001239189 0.0014673935 0.0013411798 0.0018409351 0.009416306 0.0014814172 0.0012009424 0.0014278721 0.0018409351 0.0010619798 0.0017593424 0.0010709041 0.0012748857 0.0004857315 0.0010581552 0.00094341545 0.0007356091 0.0011512218 0.00041306298 0.0007878794 0.0011359232 8.541735e-05 0.0002409534 0.0001529863 0.00062214426 0.00019888218 0.00037099177 0.00024477806 0.00017338447 0.00027537532 7.904292e-05 4.9720544e-05 0.00023075432 5.4820088e-05 0.00046660818 0.0008401497 0.0036181258 0.00084397435 0.00054055155 0.0005558502 0.0011193497 0.00073688396 0.00051505386 0.00058517256 0.0009319415 0.00018740821 0.00026772602 0.00018230866 0.0007509077 0.0004946557 0.0006463671 0.0010785534 0.0170159 0.0065133916 0.0062979357 0.005981764 0.0065822355 0.0064942683 0.005624796 0.0066357804 0.0068053403 0.005757384 0.006115627 0.0064012012 0.0060977787 0.0059320433 0.0064381734 0.007577921 2678.0 33.030994 88457.0 0.010061386 0.00046350205 0.0004069774 0.000113049275 0.022496806 0.00013565914 0.0002034887 4.5219713e-05 0.00038436754 0.0013678962 0.0008478696 0.00038436754 0.00699775 0.00019218377 0.011044915 0.0004069774 0.008795233 0.0024870841 0.005810733 0.0027357924 0.0033914784 0.0034027833 0.0026114383 0.0014244209 0.0014696406 0.0012435421 0.015917338 0.00019218377 0.01406333 0.0009156992 0.013871146 0.031970337 0.048972946 0.025447393 0.0074725575 0.011938004 0.014752931 0.0064664185 0.0036967115 0.0034140882 0.0032332093 0.007902144 0.0022383756 0.002023582 0.0033236488 0.004013249 0.0043523973 0.0029505861 0.0064664185 0.0025436087 0.0037193212 0.0048611187 0.0044315318 0.0033688685 0.004872424 0.0034819178 0.0035497474 0.002023582 0.0030862454 0.00021479363 0.0010739681 0.00013565914 0.00027131828 0.04234826 0.00023740348 0.062335372 0.009190907 0.038323704 0.025944808 0.04441706 0.0043976167 0.009541359 0.019037498 0.03909244 0.00066699076 0.0018313983 0.026792679 0.012593689 0.025243904 0.03585923 0.011248403 0.0009043942 0.060458753 0.049481668 0.08054761 0.009835287 0.0031879896 0.007924754 0.0057315985 0.0063081495 0.0016844342 0.0010852731 7.9134494e-05 0.0011983224 0.00010174435 0.00021479363 5.410013 2.0 2.0 4.0 6.0 393216.0 331776.0 1.0 0.0 190.0 1.0 1.0 0.0 0.0 0.0 1489585700.0 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 9.0 0.0 5.0 0.0 5.0 0.0 46080.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46080.0 0.0 134656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9434812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.200044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6657515 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.273457 0.0 5.6038113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78594.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45612.0 0.0 134248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 0.0 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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -2.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 1.0 -1.0 0.0 2.0 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 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 121460.0 134248.0 192512.0 0.0 0.0 0.0 0.0 1044.0 327680.0 28.0 54144.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 56360.0 0.0 0.0 812.0 53248.0 0.0 0.0 72.0 54196.0


Input: 0.05687822 0.008315632 0.0061821667 0.005660491 0.0057571363 0.0049683875 0.004198345 0.0054287505 0.0050525623 0.0056345114 0.0037462953 0.004466457 0.0049496824 0.00317266 0.0043240874 0.0046462375 0.005046327 0.0037618831 0.0049361726 0.0041546985 0.004354224 0.0031757776 0.0041089742 0.0038377445 0.005075425 0.0033420487 0.0031581114 0.0029232535 0.00415262 0.0034386937 0.0037847455 0.003787863 0.006174892 0.0038117645 0.003477144 0.003023016 0.004894605 0.0041630124 0.0038419012 0.0037203154 0.00473353 0.0038969785 0.0033316568 0.0030947204 0.0043677334 0.0037171978 0.003723433 0.0035862594 0.0055181216 0.003953095 0.003096799 0.0028951953 0.0036797868 0.0030718583 0.0026831995 0.002856745 0.0041765217 0.0033077553 0.0035187118 0.0033441272 0.004000898 0.0032235805 0.0035031238 0.0034625952 0.0066040796 0.0039551733 0.0036195135 0.003225659 0.004150542 0.0032121495 0.0035436524 0.0030677014 0.005002681 0.003772275 0.0037036883 0.00358522 0.004130797 0.0031227786 0.003551966 0.0034625952 0.0051710308 0.0036257487 0.003647572 0.0033306177 0.0039302325 0.0033815382 0.0033628326 0.003541574 0.0046483157 0.003647572 0.0038055293 0.0035072805 0.004107935 0.003385695 0.0036891396 0.0037837063 0.0059130155 0.0036247096 0.0033441272 0.0029502725 0.0040092114 0.0030541918 0.0032620307 0.0030292512 0.0049704663 0.0031705818 0.0032038358 0.003048996 0.0035800242 0.0028380395 0.0030832894 0.0031892871 0.0045080245 0.0032828148 0.003220463 0.0031321314 0.0038928217 0.003332696 0.003284893 0.0036278272 0.0046254536 0.003295285 0.0034761047 0.0031643466 0.0040403875 0.0031965615 0.0034698695 0.0033441272 0.008661684 0.004597395 0.0040144073 0.0035270252 0.004375008 0.003435576 0.0030167808 0.003397126 0.004542318 0.00383047 0.0029523508 0.0031924048 0.0037244721 0.0027964718 0.0028453139 0.0029824874 0.005241696 0.0032038358 0.0034916927 0.0030261336 0.0036673164 0.0031788952 0.0033046377 0.0032609915 0.004545436 0.0028380395 0.0030417216 0.00269567 0.0035124766 0.003225659 0.002984566 0.0031497977 0.0050037205 0.0034095964 0.0032713835 0.0027943933 0.0037774711 0.0030167808 0.003060427 0.0031903263 0.0041380716 0.0029918402 0.0031207004 0.0030147026 0.0036444543 0.002834922 0.002909744 0.0030302904 0.0046732565 0.0031165436 0.003846058 0.0028557058 0.0035644362 0.0031539546 0.0029939187 0.0031165436 0.0042565395 0.003145641 0.0033316568 0.003171621 0.0036517286 0.0031872087 0.0033264607 0.003348284 0.0067267045 0.0040611713 0.003723433 0.0033347744 0.0041162483 0.003252678 0.0032984025 0.0032287766 0.004336558 0.0033295783 0.0031207004 0.0030718583 0.0036444543 0.0029866442 0.0030728974 0.0027964718 0.0042471867 0.0032713835 0.003086407 0.0029949578 0.003712002 0.0030167808 0.002937802 0.0029388412 0.0039832317 0.0031061517 0.0027299633 0.002637475 0.003536378 0.0029502725 0.0035810634 0.0028816857 0.004953839 0.0032443644 0.0033888125 0.0029679388 0.0038117645 0.003070819 0.0031934439 0.0028983129 0.0044394378 0.0054536914 0.0034698695 0.0031321314 0.0037837063 0.0030718583 0.0032402077 0.0031851304 0.0046140226 0.0033171081 0.0034179098 0.0030438 0.0037431777 0.003086407 0.0033035986 0.0032402077 0.0043511065 0.0030365256 0.0031799343 0.002856745 0.0040185642 0.0030936813 0.004227442 0.004530887 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 0.0046011917 0.00029411397 0.00027225065 0.00027173007 0.0003008812 0.00024153784 0.00033315565 0.00030868954 0.0003326351 0.00035241622 0.00032951176 0.00035293677 0.00052315847 0.00015408448 0.00018479727 0.00074179185 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 0.09935066 0.06200235 0.062442217 0.055300716 0.060593203 0.059551574 0.054936845 0.05444388 0.060472436 0.053136244 0.05209149 0.052918132 0.056398045 0.05051004 0.056601062 0.05381401 4015.0 5.7053547 22907.0 0.017112672 0.010433492 0.009342123 0.008643646 0.013489326 0.012441612 0.01178679 0.011524862 0.012616231 0.009735015 0.008469027 0.008599991 0.01388222 0.010520802 0.01178679 0.0099096345 0.016807089 0.011874099 0.008730955 0.007508622 0.009822325 0.008469027 0.007814205 0.008338063 0.010258873 0.008425372 0.009560396 0.008818265 0.0115685165 0.008992884 0.009604051 0.009211158 0.018073078 0.010913694 0.010346183 0.009080194 0.010826385 0.008905575 0.010651765 0.008338063 0.014231457 0.011612171 0.00977867 0.008992884 0.011437552 0.009385778 0.011655826 0.009604051 0.01479897 0.009647706 0.009996944 0.008992884 0.012092373 0.009429432 0.009604051 0.009822325 0.013751255 0.009211158 0.010564457 0.009604051 0.011131968 0.009822325 0.010389837 0.01069542 0.017942114 0.011001004 0.00969136 0.008163444 0.013096433 0.008250753 0.009385778 0.008338063 0.015453791 0.009298468 0.0089492295 0.008687301 0.011350242 0.00794517 0.0099096345 0.007901515 0.013183743 0.00794517 0.008687301 0.008730955 0.011481207 0.009429432 0.008119789 0.007901515 0.011001004 0.008905575 0.011961409 0.008556336 0.011262933 0.009123849 0.009996944 0.00886192 6.5544796 0.0 0.0 0.0 14.0 962284.0 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: 0.19171548 0.0141222775 0.00598237 0.006325189 0.011638301 0.0038739736 0.004213283 0.0025553484 0.011437056 0.002466426 0.003512434 0.0016614444 0.006618867 0.0023225122 0.0012566136 0.0065872762 0.0073817275 0.002014794 0.00088805374 0.000897414 0.0061262837 0.005493297 0.0022862412 0.0009617657 0.0039102444 0.0013350057 0.0006481973 0.0007160591 0.0033462895 0.0006692579 0.0006552175 0.00076052034 0.009093483 0.00070084876 0.0012004521 0.0007371197 0.019572284 0.0020077736 0.0005768254 0.00069031847 0.0022324198 0.00081668183 0.00049960334 0.0013818069 0.002354103 0.0009547455 0.0016614444 0.0007616904 0.0033029984 0.0008038115 0.00092900486 0.005419585 0.001908321 0.0011396104 0.000823702 0.0006400071 0.0022546502 0.0024886564 0.00084242254 0.0042413636 0.0021704081 0.0013467061 0.0007616904 0.0018591797 0.0083563635 0.0030900526 0.0018872605 0.0024617459 0.008618451 0.009388331 0.0048018084 0.0047280965 0.01122528 0.0050767655 0.004444949 0.00076754054 0.005901638 0.0045853527 0.002843176 0.0014718993 0.011041585 0.003851743 0.0035311545 0.004827549 0.0035487048 0.0036130566 0.0063099787 0.005010074 0.0025635385 0.0059004677 0.00065638754 0.0024558958 0.0022651805 0.0030923926 0.0043267757 0.0052534407 0.0016731448 0.004749157 0.0015830523 0.002767124 0.0057401736 0.008011204 0.0023786735 0.0011536508 0.005382144 0.003967576 0.0061637247 0.00092549477 0.0038833339 0.0016555942 0.0039067343 0.004070539 0.002913378 0.0005499147 0.005399694 0.0042542336 0.013987724 0.0114124855 0.0025623685 0.0015549716 0.0024945068 0.0015011502 0.0006692579 0.000559275 0.0025623685 0.0022792208 0.0020311743 0.0012753342 0.0045818426 0.0011840716 0.00058267557 0.01496353 0.004227323 0.0076543447 0.0010904692 0.00058267557 0.0025225875 0.012949906 0.0018568396 0.034519434 0.0020686153 0.013003727 0.00089273386 0.0004633324 0.0013502161 0.00044461188 0.0005721453 0.0008400825 0.0010670685 0.000822532 0.0004001507 0.00046801253 0.0011372704 0.00088805374 0.0004340816 0.00044227182 0.0010366477 0.00047737276 0.00042823146 0.00065755757 0.002094356 0.0026337404 0.0011162099 0.0038985442 0.0010799388 0.0006060762 0.0012577836 0.001047178 0.0013712767 0.00043642166 0.00042121127 0.00044578192 0.0012074723 0.0004001507 0.00036036962 0.00034164914 0.0012285329 0.0003919605 0.0005347043 0.00045748224 0.00095942564 0.00042472137 0.0017527068 0.00067510805 0.00299177 0.0005721453 0.0004633324 0.0011255702 0.0009547455 0.00065755757 0.00077105063 0.0005639551 0.0074882004 0.0023166619 0.0019527823 0.005583389 0.006104053 0.0007663705 0.0039652362 0.0049656127 0.0024020742 0.0018065283 0.00057799544 0.00071137905 0.015652679 0.00083189225 0.001609963 0.0010272874 0.0019984134 0.0008517828 0.001608793 0.0009605957 0.0011559909 0.000673938 0.00067861815 0.00069616863 0.0017959981 0.00063298695 0.00048907305 0.0013584063 0.00092900486 0.00054757466 0.0004914131 0.0005417245 0.0021411572 0.0005733153 0.0006657478 0.0005019434 0.001198112 0.00057799544 0.00042823146 0.00039547056 0.0157299 0.0032012055 0.00053236424 0.009928886 0.0032690675 0.0005920358 0.0006095863 0.0005265141 0.0026746916 0.001047178 0.00058501563 0.0008716733 0.0017023955 0.00050779356 0.0018743902 0.0014871098 0.0040483084 0.0012542736 0.0008903938 0.0011489707 0.003628267 0.0012531035 0.004005017 0.058656007 0.02279447 0.0 0.0 1.1723439e-06 0.0 2.3446878e-06 4.103204e-06 7.0340634e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0034742414 1.3481956e-05 5.2755477e-06 2.3446878e-06 1.3481956e-05 9.378751e-06 8.792579e-06 8.206408e-06 2.4619223e-05 5.2755477e-06 3.5170317e-06 1.7585159e-06 1.7585158e-05 4.103204e-06 3.5170317e-06 5.8617197e-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 0.0009003601 0.00030012004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019918124 6.447892e-06 1.5826643e-05 2.2274535e-05 6.5651264e-05 2.9308598e-05 0.00011020033 5.5686338e-05 2.3446879e-05 2.3446878e-06 6.447892e-06 3.0480942e-05 6.447892e-06 2.9308599e-06 2.1688364e-05 9.964923e-06 0.005986574 7.151298e-05 8.089173e-05 6.154806e-05 0.0001653005 7.9719386e-05 0.00016647283 0.00015357706 6.7409776e-05 4.5721412e-05 7.151298e-05 2.110219e-05 5.1583134e-05 8.206408e-06 0.0019595728 0.00061313587 0.003988314 7.854705e-05 6.7409776e-05 0.000129544 0.0001254408 0.00014830151 0.00024267519 0.00014478447 3.9859693e-05 2.5791567e-05 3.1067113e-05 3.223946e-05 3.9273524e-05 1.7585158e-05 4.454907e-05 0.0008470185 0.0336281 0.002277278 0.002177629 0.0009900444 0.003753259 0.0009325996 0.0047444757 0.0030721272 0.0007672991 0.0009507709 0.00027667318 0.0005246239 0.00036870217 0.00026084651 0.0018493725 0.003450208 0.012892267 0.0008276748 0.00069871696 0.00081008964 0.00310847 0.002167664 0.0042081284 0.0022045928 0.0003575649 0.00023798582 0.00021219425 0.00042731938 0.00032356693 0.00014126745 0.00099532 0.0015996633 0.014480206 0.0009378751 0.0018904046 0.00093846134 0.0028329692 0.0016242826 0.006381654 0.0033194919 0.00065534026 0.00020222933 0.00043552578 0.00034173825 0.00052579626 0.00018229948 0.0013030603 0.0011635514 0.016773896 0.00068054564 0.0038200826 0.0019689517 0.0055715647 0.0037813953 0.012324265 0.0069924453 0.0006465477 0.000439629 0.00050762494 0.00046893756 0.00058382726 0.00044490452 0.0009718731 0.0028470373 0.008273818 0.0006694084 0.0016025942 0.0009120836 0.0029461004 0.0016447986 0.004851159 0.0028992065 0.00061958376 0.00036284045 0.0004988323 0.0003118435 0.00032298075 0.00046131734 0.0006002401 0.0018347183 0.010643125 0.0010222839 0.0024085806 0.0014824289 0.002733906 0.0018306151 0.00415127 0.002965444 0.0020938062 0.000439629 0.002430269 0.0008651898 0.0023388262 0.0011987217 0.0011125543 0.0018991972 0.07408686 0.014920421 0.016544119 0.009022946 0.02753191 0.024978546 0.008221062 0.012473153 0.04954091 0.0038153934 0.0067773205 0.006047536 0.028177287 0.0051594856 0.012775032 0.03126055 0.06593614 0.01613028 0.015524765 0.014213498 0.02939887 0.03017672 0.011920979 0.021324936 0.047944766 0.004492422 0.0072075706 0.0051348666 0.024678426 0.0071524703 0.01898611 0.039921243 0.0007561618 0.00052227924 0.00048183335 0.00041266507 0.0005638974 0.00051114196 0.0004706961 0.00031653285 0.00055979425 0.00046131734 0.00029543068 0.00034115207 0.00043376724 0.00040621718 0.0003223946 0.00034759997 4790.0 17.075783 81793.0 0.055457067 0.0012959545 0.0017849938 0.0009291749 0.010661059 0.0035333098 0.0009291749 0.0020295135 0.0033865978 0.0028242026 0.00068465516 0.00067242916 0.0046581 0.002494101 0.010636607 0.0026897166 0.0052938517 0.0027630727 0.0034844058 0.00341105 0.0022984853 0.0012592764 0.0014182143 0.00069688115 0.0019194797 0.002543005 0.0019683836 0.002530779 0.0018828018 0.0029097844 0.0010514347 0.011321262 0.01464673 0.016272787 0.0027386206 0.009731884 0.019268153 0.017764356 0.0055505973 0.007139975 0.0037656035 0.012360471 0.00059907325 0.002335163 0.007237783 0.0053794333 0.011052291 0.0070054894 0.018779114 0.0046336483 0.015575905 0.014756764 0.00962185 0.00651645 0.011553556 0.008655997 0.009585172 0.0053427555 0.0013570844 0.004034575 0.0012837284 0.0042790947 0.0048170383 0.02710501 0.000819141 0.043133274 0.011712493 0.022948174 0.024708716 0.07110633 0.010074211 0.0079102125 0.011333488 0.03437947 0.0053549814 0.0031909822 0.024280807 0.013069578 0.03419608 0.035919946 0.01327742 0.0018950277 0.045908574 0.034342792 0.053134132 0.016896311 0.009976404 0.0055383714 0.005831795 0.007934664 0.0019928357 0.00022006773 0.0017483159 0.0011125647 0.00075801107 0.0031298522 5.735099 3.0 36.0 0.0 5.0 854678.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 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 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 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 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0107484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.251338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.29807281 0.029530307 0.02245347 0.00786909 0.017942026 0.004772384 0.013109909 0.006382042 0.007630156 0.0036122988 0.024569292 0.0031564387 0.003514839 0.0028514839 0.0041656187 0.0027288732 0.0033639336 0.008881413 0.0060582245 0.004297661 0.0018674547 0.0029583753 0.004756665 0.0040838784 0.0024050553 0.0019900654 0.0015342053 0.0022667253 0.0017857143 0.0021661217 0.0015593561 0.0029017858 0.0071365694 0.001263833 0.0019114688 0.00089285715 0.0014115946 0.001814009 0.002643989 0.0016788229 0.0096045025 0.0014147385 0.0035116952 0.0023170272 0.0029615192 0.002643989 0.0034582494 0.0015562123 0.0033922284 0.0017479879 0.0020089287 0.0027068662 0.0018077213 0.0012795524 0.0014398893 0.0011223592 0.0015530684 0.0016631036 0.0016725352 0.0017951459 0.0012764084 0.0018454477 0.0015813631 0.0017385563 0.004530307 0.002691147 0.0015342053 0.0025779677 0.0024050553 0.003288481 0.002203848 0.0016065141 0.0016882545 0.0021252516 0.00074823946 0.0010248994 0.0016253772 0.0023327465 0.0018674547 0.0015782194 0.0028703471 0.0010248994 0.00170083 0.0031155683 0.002184985 0.001722837 0.0022195673 0.0018894618 0.0017982897 0.0029615192 0.00086456235 0.00092429575 0.0016096579 0.0015687877 0.0010877766 0.0031092807 0.0011883803 0.009321555 0.002298164 0.0055206236 0.005853873 0.016341802 0.002643989 0.003398516 0.0035179828 0.008871982 0.0018768864 0.0017385563 0.0078407945 0.0041027414 0.008736796 0.023050806 0.011729754 0.0008551308 0.01615317 0.009727113 0.013660085 0.0062122736 0.0017165493 0.0024050553 0.0025182343 0.002688003 0.0010594819 0.007957118 0.001194668 0.002439638 0.0018045774 0.0006067656 0.0033922284 0.0023956238 0.0010091801 0.0033482143 0.0012135312 0.0023641852 0.0017825704 0.0008016851 0.0015813631 0.002895498 0.0012575453 0.004854125 0.0012764084 0.001792002 0.000757671 0.00052816904 0.0014084507 0.0011129276 0.0008897133 0.0012889839 0.0012606891 0.0013487173 0.001515342 0.0007042253 0.0007608149 0.0008111167 0.0009997485 0.0004904427 0.0010280432 0.00081426057 0.0005313129 0.001034331 0.0006759306 0.0010028924 0.0018045774 0.00073880784 0.0011192153 0.0007042253 0.0007230885 0.0006444919 0.0007891097 0.0009085765 0.0006319165 0.00083312375 0.0015467807 0.0005438883 0.00058790244 0.00036468814 0.0007042253 0.00085198693 0.00055331993 0.0007230885 0.0012701207 0.00086456235 0.0010437625 0.0007765342 0.00067278673 0.00070736924 0.0005784708 0.0004935865 0.00079854124 0.00079854124 0.000757671 0.0005564638 0.0020655182 0.0012135312 0.00085198693 0.00170083 0.000965166 0.0005501761 0.000896001 0.0011569416 0.0008897133 0.0016002264 0.00079225353 0.0007639587 0.0012103873 0.00080482895 0.0007419517 0.0006161972 0.0009494467 0.00091800804 0.00086770626 0.00070736924 0.0011160715 0.00046529176 0.0006696429 0.0005313129 0.00089914486 0.0006224849 0.0006633551 0.00069479377 0.0015373491 0.0006099095 0.003329351 0.00065392355 0.0012512575 0.0006979376 0.0007513833 0.0004904427 0.0011883803 0.0009683099 0.0009903169 0.0010846328 0.0034991198 0.0011600856 0.00062562875 0.001493335 0.0012669768 0.00053445675 0.0005124497 0.00051559357 0.00085827464 0.0005784708 0.00062562875 0.00069479377 0.0007639587 0.00047472335 0.00089914486 0.00074509555 0.0019869215 0.0006696429 0.0005784708 0.002137827 0.0015436368 0.001219819 0.002757168 0.027760312 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010836999 0.000183303 0.0001738218 0.00045667728 0.00013431686 0.00013273665 0.00020858616 0.00012483566 8.69109e-05 7.110892e-05 0.00011535447 9.16515e-05 8.69109e-05 6.952872e-05 3.1603966e-05 0.00014063764 0.0052225552 0.00018172279 0.00020068517 2.5283172e-05 0.00011535447 7.110892e-05 0.0002844357 0.00017066141 4.8986145e-05 1.5801983e-05 2.0542577e-05 1.8962379e-05 1.738218e-05 2.0542577e-05 1.8962379e-05 3.9504954e-05 0.0076576406 0.00019278418 0.00018962378 0.00020384557 0.00037134657 0.0002623129 0.0022581033 0.001012907 0.0001864634 0.00011535447 7.7429715e-05 5.5306937e-05 6.320793e-05 4.8986145e-05 4.8986145e-05 0.00020068517 0.047439132 0.0017081943 0.0027005589 0.0024019014 0.007621296 0.005013969 0.043855242 0.021332676 0.00032236043 0.00085172686 0.0002638931 0.00046931888 0.00023228914 0.00030339806 0.00032394062 0.0010824358 0.092735514 0.0071440763 0.00821387 0.0038888678 0.0054011177 0.004533589 0.02838036 0.01848832 0.0016671091 0.002120626 0.0009070338 0.00083908526 0.00050882384 0.0008359249 0.0007000278 0.0016291843 0.14303164 0.022383507 0.017884683 0.006474072 0.0048685907 0.0043012993 0.013540719 0.020683214 0.0046884483 0.0029470697 0.0030023765 0.0018630537 0.0020131725 0.005088238 0.0027953708 0.0033342182 0.07549555 0.013033475 0.009060857 0.005829351 0.0031145706 0.0034100679 0.0070445235 0.009825673 0.00454465 0.0028585787 0.002359236 0.0021190457 0.002096923 0.0028980835 0.0020858617 0.0030908678 0.018282894 0.0015075092 0.0016007408 0.0010223882 0.0013968953 0.0014917072 0.0022739053 0.0018946576 0.0016402458 0.0013020834 0.0011108794 0.0012404555 0.0012151725 0.00082960405 0.0011361626 0.004125898 0.01475115 0.0012926022 0.0015659764 0.0022865469 0.0017018735 0.0017097745 0.0018425111 0.001689232 0.0024477271 0.0012104318 0.0012072715 0.0012214932 0.0014616833 0.001012907 0.0013368477 0.005333169 0.024412483 0.0032188639 0.0030482023 0.0026168083 0.004087973 0.0045809946 0.0036297154 0.003498559 0.00821071 0.0035301629 0.0034701154 0.0032030619 0.0046505234 0.0023165706 0.0048638503 0.017748786 0.013469609 0.0022138576 0.0016718497 0.0030308203 0.0045478106 0.0046315608 0.0027084597 0.003956816 0.007517003 0.0010018457 0.0011061388 0.0010239684 0.0045162067 0.0018598933 0.0037371689 0.00773191 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2383.0 13.304238 31704.0 0.005677517 0.0012932122 0.00047312642 0.00047312642 0.0014824627 0.00012616704 0.00018925057 0.00025233408 0.0008200858 0.00025233408 0.00069391873 0.0008200858 0.0014509211 0.0008831693 0.0048258896 0.0009777946 0.0061506433 0.0049835984 0.004226596 0.003059551 0.0029649255 0.0023340904 0.0023971738 0.0020186726 0.0023971738 0.002523341 0.0012932122 0.0018925057 0.0020186726 0.0024287156 0.0013878375 0.00085162756 0.00050466816 0.009525612 0.0062452685 0.016086299 0.010944991 0.008673985 0.0066237696 0.005772142 0.003438052 0.00769619 0.00063083525 0.0018294222 0.0055198083 0.006592228 0.0038165532 0.0042896797 0.009430987 0.0010724199 0.007506939 0.013026748 0.009430987 0.0039111786 0.004573555 0.005582892 0.003564219 0.0024287156 0.0017978804 0.00037850114 0.00044158465 0.0013562958 0.00063083525 0.018925056 0.0010408781 0.05103457 0.01021953 0.028545294 0.032172598 0.10976533 0.0075700227 0.020722937 0.011828161 0.047060307 0.0023340904 0.007664648 0.04586172 0.022773152 0.050624527 0.055135 0.018010346 0.0013562958 0.051507697 0.04314913 0.075100936 0.021795357 0.0062768105 0.008358567 0.0073492303 0.011323492 0.0031226343 0.00025233408 0.00028387585 0.00072546053 0.00037850114 0.000788544 5.289983 1.0 4.0 2.0 5.0 318080.0 331776.0 1.0 0.0 74.0 1.0 1.0 1.0 0.0 0.0 1391795300.0 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 31232.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10240.0 0.0 0.0 0.0 0.0 0.0 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 -31232.0 0.0 264192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0881033 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8417344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1029935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.511594 0.0 5.711693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3972.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10050.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12172.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31130.0 0.0 264168.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 45140.0 264168.0 61440.0 0.0 0.0 3200.0 314880.0 1936.0 327680.0 28.0 37232.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 44208.0 0.0 0.0 308.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.3017064 0.029365405 0.032432154 0.015625 0.023711624 0.006561815 0.027240954 0.0104338 0.009628563 0.0038891174 0.019171463 0.0053625274 0.003957648 0.003323739 0.0040775766 0.0021244518 0.003375137 0.007898163 0.009697095 0.0053625274 0.0043688323 0.0060649673 0.0038891174 0.00390625 0.0032038102 0.0024499726 0.0015933388 0.0026726974 0.0021244518 0.0015419408 0.0033408718 0.0017646656 0.0094401045 0.0014905428 0.0015076754 0.0005482456 0.0008395011 0.0021758499 0.001319216 0.0010450932 0.010108278 0.0010279606 0.01031387 0.004574424 0.0064761513 0.004060444 0.006750274 0.0009080318 0.003854852 0.0015590735 0.0014391447 0.0021415844 0.0010279606 0.0014220121 0.0022615131 0.000633909 0.0018331963 0.0009765625 0.0014562774 0.0011307566 0.00147341 0.00053111295 0.001319216 0.0007538377 0.0011136238 0.0034608005 0.0011821546 0.0027926262 0.0027583607 0.0023643093 0.0012506853 0.0016447369 0.0009080318 0.0034950657 0.001370614 0.0008223684 0.0022957786 0.0012849506 0.0025527687 0.0012849506 0.0019017269 0.0010622259 0.0015933388 0.0041118423 0.002587034 0.0014391447 0.001267818 0.0026726974 0.0038891174 0.0010622259 0.0006167763 0.0004111842 0.000685307 0.0006167763 0.0005139803 0.0035978619 0.0011307566 0.011684485 0.0033580044 0.005533854 0.0060478346 0.025185034 0.0025699013 0.0037520558 0.00268983 0.012661047 0.00095942983 0.000685307 0.009320175 0.0080523575 0.013500548 0.018965872 0.008309348 0.0011992872 0.01466557 0.012284128 0.019736841 0.0072471215 0.0023129112 0.0010793585 0.0020387883 0.0045572915 0.0027926262 0.0109135145 0.00071957236 0.0050370065 0.0010793585 0.00094229716 0.004317434 0.0026212994 0.00032552084 0.0010964912 0.00071957236 0.0008908991 0.0028268914 0.0003426535 0.0005996436 0.0005482456 0.00022272478 0.00071957236 0.00095942983 0.0010450932 0.0013534813 0.00095942983 0.00044544955 0.0009080318 0.00039405155 0.0007024397 0.00058251095 0.0002741228 0.0012849506 0.0007538377 0.0003426535 0.0003426535 0.00071957236 0.0006510417 0.0008395011 0.00039405155 0.00025699014 0.00025699014 0.0005482456 0.0003426535 0.0005482456 0.00066817435 0.00029125548 0.0006510417 0.00025699014 0.0001370614 0.0004111842 0.00044544955 0.00030838815 0.00030838815 0.0002055921 0.00030838815 0.00037691885 0.0002055921 0.0005996436 0.00047971492 0.0003426535 0.0006167763 0.00053111295 0.0009080318 0.00025699014 0.0005996436 0.0005139803 0.00018845942 0.0007881031 0.00018845942 0.00023985746 0.0014220121 0.00044544955 0.0004111842 0.00039405155 0.0002741228 0.00047971492 0.00095942983 0.00022272478 0.0002741228 0.0014048794 0.0002741228 0.00032552084 0.0004111842 0.00025699014 0.00046258225 0.0003426535 0.00035978618 0.0002741228 0.00046258225 0.002638432 0.0010450932 0.00022272478 0.00029125548 0.0007538377 0.0002741228 0.00017132676 0.00018845942 0.00030838815 0.0005139803 0.00022272478 0.00017132676 0.000633909 0.00022272478 0.0007024397 0.00042831688 0.0002741228 0.0013534813 0.00046258225 0.00032552084 0.0007709704 0.00015419407 0.0009765625 0.00044544955 0.00030838815 0.0002741228 0.00018845942 0.00039405155 0.00025699014 0.00035978618 0.00039405155 0.00015419407 0.00023985746 0.00087376643 0.00017132676 0.00018845942 0.0001370614 0.0003426535 0.0001370614 0.00017132676 0.0003426535 0.00042831688 0.00015419407 0.00017132676 0.00039405155 0.00017132676 0.0011136238 0.0007709704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01423863 7.847377e-05 0.00029645648 0.00029645648 0.00035749163 0.00026157923 0.0015869141 0.00062779017 1.7438617e-05 0.0 0.0 3.4877234e-05 1.7438617e-05 8.719308e-06 8.719308e-06 2.6157924e-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 0.06497628 0.003313337 0.0069754464 0.001499721 0.008876256 0.00655692 0.05570766 0.028198242 0.0005493164 0.00037493024 0.0001046317 0.0004359654 0.00030517578 0.00036621094 0.00013950893 0.00019182477 0.21300398 0.025312152 0.034066338 0.011648996 0.011012486 0.009460449 0.0425851 0.048304968 0.0049438477 0.0018484934 0.0017089844 0.0013253348 0.0013253348 0.0015345982 0.0010986328 0.0015345982 0.04949951 0.0058419365 0.0055367607 0.002205985 0.0017525809 0.0017961775 0.008178711 0.006958008 0.0013776507 0.0009852818 0.0010114397 0.0009940012 0.00062779017 0.0013340542 0.00047956195 0.00070626393 0.119410925 0.020063128 0.011762346 0.007114955 0.006879534 0.007847377 0.014910017 0.009547642 0.007890974 0.004900251 0.0025634766 0.0047084265 0.004098075 0.004237584 0.0037667411 0.0024414062 0.031188965 0.009425572 0.004499163 0.0013602121 0.0021013531 0.0024850029 0.004952567 0.0024588448 0.00503976 0.0011771066 0.00071498327 0.00113351 0.0008893694 0.0013863699 0.0016915457 0.0009242467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 510.0 16.531372 8431.0 0.0018977582 0.00011860989 0.0 0.00047443956 0.0 0.0 0.0 0.00011860989 0.00011860989 0.00023721978 0.00011860989 0.00083026924 0.00011860989 0.00023721978 0.026805835 0.00011860989 0.0016605385 0.0029652473 0.00083026924 0.0011860989 0.0013047088 0.0011860989 0.00047443956 0.0 0.00047443956 0.0003558297 0.0 0.00011860989 0.0047443956 0.0 0.0047443956 0.0 0.00011860989 0.013640137 0.0013047088 0.0124540385 0.007828253 0.01067489 0.0026094175 0.0072352034 0.002016368 0.0124540385 0.0 0.00047443956 0.006642154 0.0029652473 0.010319061 0.003321077 0.003321077 0.0 0.005218835 0.019689241 0.008065472 0.0013047088 0.0028466375 0.0037955164 0.013521528 0.0 0.00011860989 0.00023721978 0.0 0.00023721978 0.0 0.014944847 0.0016605385 0.047443956 0.014589016 0.02229866 0.02182422 0.12655675 0.007709643 0.015419286 0.0058118845 0.053967502 0.0013047088 0.0018977582 0.040327363 0.040920414 0.061795752 0.049341716 0.017317044 0.004388566 0.051595304 0.04163207 0.09975092 0.022654489 0.0060491045 0.0011860989 0.0048630056 0.016605385 0.002253588 0.0 0.0 0.0 0.00023721978 0.0 4.9245505 0.0 0.0 0.0 1.0 58368.0 81920.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3498893600.0 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 8.0 0.0 4.0 0.0 4.0 0.0 55808.0 512.0 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 -55808.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -5.687838 0.0 3.2903018 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 -55764.0 0.0 1048.0 0.0 0.0 0.0 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 75.0 63872.0 1048.0 65536.0 0.0 0.0 0.0 0.0 12.0 73728.0 56.0 63772.0 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: 0.3598354 0.012562055 0.004863746 0.0072452826 0.0043163383 0.002941528 0.0023815366 0.0025451297 0.0056408127 0.0018813196 0.0018687355 0.0023374923 0.0041842056 0.0018718815 0.0017208726 0.004344653 0.009774682 0.0018278372 0.0016107619 0.0015037972 0.0026458022 0.002129855 0.0016107619 0.0014566069 0.002287156 0.0014754831 0.0013181821 0.0015635716 0.0019096337 0.0013307661 0.0013213281 0.0016768283 0.0039576925 0.0014314388 0.0013999786 0.0021801915 0.003230962 0.0015321114 0.0013779565 0.0014345848 0.0014849211 0.0012930139 0.0012615537 0.001966262 0.0014503149 0.0013307661 0.0014062707 0.0013244741 0.0025199614 0.0017523328 0.0021424391 0.00547722 0.0020260364 0.0018498594 0.0044925157 0.0017303106 0.0022399658 0.002601758 0.001780647 0.0032183777 0.0020103063 0.002104687 0.001793231 0.0018215452 0.0029792804 0.0047976794 0.0016768283 0.001786939 0.0025419837 0.00547722 0.0024067047 0.0020480587 0.0021392931 0.0016139079 0.0014943592 0.0016076158 0.0016705362 0.0035266876 0.0017649168 0.0016705362 0.004863746 0.0019033417 0.0016202 0.002601758 0.0047788033 0.005993167 0.002777935 0.0023249083 0.0016799744 0.0031963557 0.0014912132 0.0018750275 0.0015163813 0.0033064664 0.00228401 0.0020826648 0.0016988504 0.0021864835 0.0014125627 0.0047756573 0.00226828 0.0033882628 0.0023186163 0.004237688 0.0022494039 0.0018372753 0.0057194633 0.0014786291 0.0020637887 0.0015572796 0.0020228904 0.0022242356 0.0055841845 0.0015352574 0.002938382 0.0022116515 0.006505968 0.0075504463 0.001790085 0.0015824477 0.001793231 0.0017523328 0.0012269475 0.0011231289 0.0016831204 0.0031114132 0.0015824477 0.0046057724 0.002938382 0.002777935 0.0016202 0.007622805 0.0028911917 0.0052444143 0.0014031247 0.0015541336 0.0026741165 0.006487092 0.0023941207 0.0145880915 0.0017114346 0.0051972237 0.0012961599 0.0015604256 0.0014566069 0.0011923413 0.0011168369 0.0011640271 0.0015384034 0.0014377309 0.0010979607 0.0010476244 0.0013527883 0.0012238015 0.0011042528 0.0011011068 0.0012898679 0.001459753 0.0010444784 0.0012269475 0.0017208726 0.0014849211 0.001135713 0.0012709919 0.0013811025 0.0011640271 0.0011671731 0.0011891953 0.0013181821 0.0011923413 0.0011105448 0.0012584077 0.0013307661 0.001138859 0.0012458237 0.0012363855 0.007135172 0.0011545891 0.0010696466 0.0010727926 0.0016013238 0.0015069433 0.004734759 0.0013055981 0.0017240186 0.0014314388 0.0013244741 0.0011231289 0.0016768283 0.0018435674 0.0016044698 0.001462899 0.004426449 0.0041558915 0.0022085055 0.0034732053 0.0023878287 0.0013716645 0.0023752446 0.003079953 0.0021896295 0.004898352 0.0016957044 0.006999893 0.00325613 0.0014188547 0.001771209 0.0015761557 0.0019788463 0.0018404213 0.0016831204 0.0014125627 0.0015226734 0.0010130182 0.0015793017 0.0012709919 0.0020826648 0.0013936865 0.0015572796 0.0013999786 0.001793231 0.0012269475 0.0015446955 0.0013433503 0.0024790633 0.0014377309 0.0014440229 0.0012867219 0.0020574967 0.0016044698 0.001623346 0.0012521157 0.007301911 0.0024098507 0.0013811025 0.0034889355 0.0029604041 0.0011231289 0.004055219 0.0014031247 0.0031208512 0.0015478415 0.0014566069 0.0014817751 0.0023343463 0.0011954873 0.0023186163 0.0024004127 0.0035203956 0.0018970497 0.0018750275 0.0018121072 0.0034732053 0.002450749 0.0069243885 0.02390031 0.29773462 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029770934 6.320793e-05 4.424555e-05 1.5801983e-06 2.686337e-05 2.5283172e-05 2.8443568e-05 2.5283172e-05 9.481189e-06 3.1603965e-06 4.7405947e-06 1.5801983e-06 4.7405947e-06 1.5801983e-06 0.0 1.8962379e-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 0.005206753 6.7948524e-05 0.00012483566 3.6344558e-05 0.00011061387 9.481189e-05 0.00021016637 0.00013431686 0.0001738218 1.8962379e-05 9.00713e-05 5.0566345e-05 1.5801983e-05 3.476436e-05 1.5801983e-05 8.69109e-05 0.004893874 0.00021490696 0.00012799606 0.00046299808 9.16515e-05 8.69109e-05 8.69109e-05 8.533071e-05 0.00012325546 2.0542577e-05 5.0566345e-05 2.3702973e-05 3.6344558e-05 3.9504954e-05 4.8986145e-05 7.900991e-05 0.003651838 0.00022912874 0.00024335053 0.00012483566 3.7924758e-05 6.6368324e-05 0.0007221506 0.00032710104 2.2122775e-05 1.738218e-05 2.2122775e-05 2.8443568e-05 6.162773e-05 6.320793e-05 3.3184162e-05 0.00082170306 0.0018899171 6.0047532e-05 0.00014221785 8.533071e-05 9.955249e-05 5.0566345e-05 0.00052146544 0.00031761985 1.1061387e-05 1.2641586e-05 1.5801983e-06 7.9009915e-06 2.0542577e-05 1.5801983e-06 9.481189e-06 4.7405947e-06 0.00693549 0.00049776246 0.00082960405 0.0002638931 0.0007284714 0.00047880007 0.0033926857 0.0020289745 0.00038556836 6.6368324e-05 5.6887136e-05 7.900991e-05 0.00020226538 8.217031e-05 6.4788124e-05 8.84911e-05 0.004552551 0.00066210306 0.00039979015 0.00013273665 0.00022438815 0.00018488319 0.0011377428 0.0007284714 0.00039979015 7.900991e-05 0.00010745348 7.5849515e-05 0.00024335053 0.00010271288 0.00010113269 0.0005767724 0.005394797 0.000526206 0.0005894139 0.00462208 0.0007205704 0.00064472086 0.0016908121 0.0010776952 0.0005451684 0.00031287925 0.0003602852 0.00041717233 0.00071899017 0.00051356445 0.00040453076 0.0008785902 0.0076655415 0.0005372674 0.0005246258 0.0015138299 0.0017176755 0.0030086974 0.0037592915 0.0032188639 0.0032962936 0.00024651093 0.00021490696 0.003707145 0.004031086 0.00030497825 0.0019515448 0.0063729393 0.03699086 0.008752718 0.004457739 0.0076197158 0.008697411 0.010873344 0.00494128 0.010132231 0.022108553 0.001978408 0.001929422 0.0042918185 0.012447221 0.003642357 0.01012591 0.0192958 0.02470482 0.0074095493 0.0037972163 0.0070176604 0.008394013 0.009937867 0.005867276 0.010136971 0.01745171 0.0014648438 0.0018535726 0.0045636124 0.011252591 0.004095874 0.008025827 0.01642142 0.018297115 0.016457764 0.016788026 0.01768558 0.018354002 0.018745892 0.01889917 0.018303435 0.01761605 0.015656604 0.01562026 0.018347682 0.018085368 0.0157846 0.016489368 0.017186236 1113.0 9.085355 10112.0 0.026503164 0.005142405 0.0055379746 0.00494462 0.007120253 0.0079113925 0.00494462 0.00820807 0.0062302216 0.0039556962 0.0045490507 0.004153481 0.005439082 0.0042523732 0.0085047465 0.005142405 0.011570412 0.0085047465 0.010680379 0.010581488 0.008702531 0.00949367 0.017405063 0.008999209 0.011867088 0.012361551 0.011471519 0.008306962 0.01028481 0.010581488 0.011273734 0.011273734 0.0065268986 0.0155261075 0.0055379746 0.01028481 0.009394779 0.0060324366 0.01028481 0.010185918 0.009790348 0.0069224685 0.004647943 0.0053401897 0.008010285 0.006428006 0.006329114 0.0050435127 0.019877374 0.006131329 0.0057357596 0.011965981 0.008603639 0.011669304 0.0077136075 0.008900316 0.0050435127 0.005439082 0.00494462 0.0062302216 0.0060324366 0.005439082 0.0043512657 0.0067246836 0.010680379 0.023931962 0.0079113925 0.021360759 0.018789558 0.049149524 0.0085047465 0.0079113925 0.009988133 0.01928402 0.005834652 0.0060324366 0.02264636 0.009790348 0.02017405 0.026206488 0.012658228 0.0043512657 0.032238923 0.022448575 0.04074367 0.01522943 0.008010285 0.006329114 0.009098101 0.00949367 0.0045490507 0.004153481 0.004450158 0.003164557 0.0060324366 0.011867088 6.296962 1.0 1.0 0.0 5.0 317862.0 344064.0 1.0 3.0 98.0 1.0 1.0 0.0 0.0 0.0 1401272600.0 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 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 17408.0 1024.0 4096.0 7.0 0.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274432.0 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 -4.4363914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.7425075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.978439 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7130365 0.0 4.885102 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6708.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24900.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -277434.0 0.0 436.0 0.0 0.0 0.0 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 -3.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 132.0 118976.0 120.0 116852.0 436.0 143360.0 0.0 0.0 0.0 0.0 3644.0 147456.0 28.0 94688.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 114488.0 0.0 0.0 412.0 94208.0 0.0 0.0 0.0 0.0