Input: 0.13030946 0.010069001 0.0058478545 0.0051558507 0.008054432 0.0031781483 0.0026597215 0.0032027257 0.008485302 0.002591366 0.002556804 0.0020276248 0.0050944076 0.0017058162 0.0020452898 0.004036049 0.0070383158 0.0016366927 0.0015575845 0.0011635802 0.003187365 0.0016459092 0.0010184207 0.0010814 0.0031059526 0.0008855498 0.00096465787 0.0009807867 0.002419325 0.0009915393 0.0009692661 0.0012465285 0.0249851 0.00078032835 0.0013555901 0.0009946114 0.0061258846 0.0014976774 0.00086327665 0.0009961475 0.0018079655 0.0009147353 0.00088478177 0.0014492909 0.0020007435 0.001179709 0.0015406876 0.0010936885 0.005368598 0.0032057979 0.0031658597 0.011956074 0.004350177 0.0027733913 0.0041358937 0.0025621804 0.0040744506 0.0028939736 0.0030045714 0.0036689257 0.003940812 0.002608263 0.0027541905 0.0027196286 0.0094453525 0.003985358 0.003985358 0.005844782 0.0059254263 0.015348506 0.004116693 0.002186609 0.0030567981 0.00440394 0.0020767795 0.00231948 0.0036911988 0.0075337016 0.0018110377 0.0017764758 0.0069714966 0.002396284 0.00251149 0.006637399 0.0039523323 0.008511416 0.00425494 0.0030445093 0.0017818521 0.004725748 0.0026320722 0.0044738315 0.0015998267 0.0034892044 0.0037288328 0.0026973556 0.0014546672 0.0041919607 0.0014815487 0.002784912 0.008209577 0.0075121964 0.0036581731 0.0018540479 0.0063071423 0.004183512 0.0031558753 0.0014078168 0.0041036364 0.0021305422 0.004794104 0.005321747 0.0032779935 0.00083409116 0.004816377 0.0037004154 0.012246394 0.005932339 0.0015675691 0.0014707961 0.002864788 0.0016581977 0.0011850853 0.0012019821 0.0023348408 0.0019377642 0.001703512 0.0016482132 0.005435417 0.001431626 0.00087095704 0.0077917627 0.0034915085 0.004099796 0.00119891 0.0009823228 0.0023701706 0.010230289 0.0022764697 0.047563933 0.0013901519 0.008246442 0.00083869934 0.0013440695 0.0031144011 0.0010330135 0.0012734098 0.0012618892 0.0014976774 0.0011889255 0.0010153485 0.00086942094 0.001276482 0.0010107403 0.0007665036 0.00091934355 0.0012396161 0.0007941531 0.00080567366 0.0008648127 0.0014969094 0.0027549586 0.00069200376 0.0011244102 0.0013986003 0.0012012142 0.0006943079 0.0007211893 0.0012711057 0.00074807066 0.0009339363 0.000792617 0.0015030537 0.0007665036 0.00075728714 0.00092932803 0.0017127285 0.00085790036 0.0016336205 0.0009838588 0.0016589658 0.0008356272 0.00092856004 0.0011712606 0.0026151752 0.0015906102 0.0021820008 0.0011459152 0.0016543575 0.0007396222 0.0011658843 0.0010737195 0.010054408 0.0012526728 0.0016466771 0.010753324 0.0031312979 0.00092318375 0.0044815117 0.0030306848 0.0020068877 0.0018571201 0.0010214929 0.0011543637 0.0014823166 0.00077495206 0.0011128895 0.0011182658 0.002920087 0.00091550336 0.0024654076 0.0018532799 0.0016950637 0.000851756 0.0017065842 0.001218879 0.004330976 0.0010668072 0.0015053578 0.0021789286 0.0015514402 0.0010138124 0.0010045959 0.0012296316 0.002413181 0.0010138124 0.0011489874 0.0009999877 0.0019999754 0.0017280894 0.0014331621 0.0011366988 0.020614186 0.0035452712 0.0011827812 0.005572128 0.004388579 0.0011497554 0.0010691113 0.001062967 0.0058685914 0.0013310128 0.0021412948 0.0020483618 0.0045383465 0.001877089 0.0034085603 0.002377851 0.0061020753 0.0024323817 0.0023532738 0.002784144 0.009337827 0.0029062622 0.0044838157 0.07359741 0.00014840675 0.0 0.014812224 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01023622 0.0007789432 3.8447342e-07 0.0014809916 2.3068405e-05 1.3072096e-05 5.7671014e-06 2.0761565e-05 1.460999e-05 3.8447342e-06 0.0 0.0 0.0 3.8447342e-07 0.0 1.5378937e-06 0.0008062408 2.3068405e-06 3.8447342e-07 3.8447342e-07 0.0 1.3841043e-05 4.9981545e-06 0.0 3.8447342e-07 1.1534203e-06 3.0757874e-06 7.6894685e-07 1.9223671e-05 7.6894685e-07 1.5378937e-06 1.9223671e-06 0.00073665107 0.00033449187 0.0 0.00066783035 2.3068405e-05 1.3072096e-05 1.5378937e-06 4.4598917e-05 2.7297614e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000462906 0.0006528359 3.4602608e-06 2.0377092e-05 1.9223671e-05 1.8839199e-05 9.227362e-06 8.304626e-05 4.959707e-05 1.5378937e-06 1.5378937e-06 3.8447342e-07 1.5378937e-06 1.1534203e-06 1.8070252e-05 1.9992618e-05 0.0006739819 0.00053326465 8.7659944e-05 3.0757874e-06 4.2292077e-06 1.6147884e-05 9.227362e-06 2.3068405e-06 3.0757874e-06 0.00014456201 0.0004828986 1.2687623e-05 2.9604455e-05 9.227362e-06 9.227362e-06 3.3064716e-05 0.0033441498 0.003233037 0.00016263226 0.0005224994 0.00015532726 0.00011149729 8.419968e-05 0.00021338275 0.0012829878 0.0007758674 0.00018185592 4.5367866e-05 4.6521283e-05 4.1138657e-05 5.843996e-05 0.00020069513 0.008632582 0.012202033 0.00020223302 0.0025033064 0.0002837414 0.0006559117 0.00056786725 0.0050289123 0.0027801273 4.229208e-05 4.613681e-05 2.0761565e-05 2.8451033e-05 3.5756028e-05 0.00046675073 0.00034102792 0.004715951 0.007775975 0.00031334584 0.0015052134 0.0023522084 0.0016178641 0.00089889887 0.0043003354 0.0016766886 0.00023299089 7.0358634e-05 8.9197834e-05 8.612205e-05 0.000108421504 0.00020146408 0.0009784849 0.004564084 0.003427196 0.00022760827 0.00074818527 0.0025921199 0.0005036602 0.00032295767 0.0017251322 0.00063284324 0.0003952387 8.112389e-05 9.342704e-05 5.1903913e-05 0.00010226993 0.00012610729 0.0005828617 0.002560593 0.005274591 0.00043061023 0.00043368601 0.00049404835 0.0014494648 0.0005613312 0.0026171105 0.0013225885 0.0002126138 0.00014571543 0.00013648806 0.00012995202 0.00015071359 0.00011418861 0.00022760827 0.00047251783 0.020256367 0.0026924673 0.0028501016 0.027533295 0.007562592 0.0033741388 0.009373846 0.0056978962 0.0029623678 0.0020861528 0.0020081047 0.0022095689 0.002326833 0.0018869956 0.002429872 0.0031745972 0.02055049 0.001743587 0.0015029067 0.0034268117 0.00927273 0.0024929256 0.0072930763 0.0037905234 0.0026943898 0.0011618787 0.0009058194 0.0011818713 0.0015959492 0.0009158157 0.0016909142 0.0027724379 0.047218334 0.0068936087 0.006065453 0.006737512 0.018806133 0.015069436 0.009160848 0.009067421 0.029966243 0.0030288817 0.0023522084 0.004325326 0.01125892 0.0051296446 0.011381182 0.023775067 0.06712253 0.011904066 0.010291969 0.013573065 0.031924367 0.034541477 0.016966429 0.015783787 0.056802105 0.0062642256 0.0064560776 0.0080601005 0.024626292 0.012533065 0.026609022 0.052604422 0.007108529 0.005250369 0.005073127 0.0060123955 0.005528728 0.0054902807 0.0056048534 0.00622078 0.005431456 0.0053960844 0.005680979 0.0058020884 0.0055952417 0.006078909 0.00601624 0.008198127 10608.0 13.995193 148461.0 0.1813136 0.0006129556 0.004169445 0.001023838 0.0041559734 0.001380834 0.00090259395 0.001232647 0.0026943104 0.0010911956 0.001198968 0.00094974437 0.00408188 0.002855969 0.0050181528 0.0030580421 0.011821287 0.01128916 0.010952371 0.024403716 0.012312998 0.008668943 0.009355992 0.00889796 0.011969473 0.009355992 0.010898485 0.006648211 0.010218171 0.006439402 0.00912024 0.005853389 0.002943534 0.007692256 0.0074632396 0.014219223 0.012939425 0.008029045 0.007833707 0.0037046766 0.006365308 0.009174126 0.0014212487 0.0017984521 0.007800028 0.0051596044 0.0034554529 0.006405723 0.007247695 0.004539913 0.0051259254 0.0134782875 0.015364304 0.0059005395 0.003569961 0.0047891364 0.0031927577 0.004270482 0.0018523383 0.0041020876 0.002795347 0.0036171116 0.0043917256 0.007321788 0.0022430134 0.025521854 0.006998471 0.014852385 0.020571059 0.049649402 0.007773085 0.008756508 0.012865332 0.025158122 0.0020274685 0.0047419863 0.022234796 0.010400037 0.030122388 0.0330053 0.01262958 0.001050781 0.028418237 0.018489704 0.04327736 0.008938374 0.0042772177 0.003933693 0.0073958817 0.0053616776 0.0015963789 0.00081502885 0.002674103 0.0006937849 0.00084870774 0.00076787843 5.578533 0.0 35.0 0.0 3.0 1302016.0 1331200.0 0.0 0.0 18.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 887296.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -65024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -887296.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 324608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.627202 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2157707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9885006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5511594 0.0 0.0 0.0 0.0 0.0 0.0 -5.0635614 6.6555896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 -64908.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 4457.0 0.0 0.0 0.0 0.0 0.0 -12476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -887056.0 0.0 0.0 0.0 0.0 0.0 0.0 -10644.0 324608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10644.0 917504.0 324608.0 1003520.0 0.0 0.0 0.0 0.0 64908.0 937984.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 933888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.011193568 0.0043896856 0.0041213175 0.0038257395 0.0038850042 0.0039658872 0.0039841514 0.004078453 0.004197355 0.0038287214 0.0039487416 0.004123181 0.0039058772 0.004046025 0.0037631202 0.004303957 0.0039904877 0.0039069955 0.0038563036 0.0038302124 0.0038715857 0.004060562 0.0039096046 0.0038317032 0.003832076 0.003785857 0.0038436307 0.003844749 0.0038622674 0.0037631202 0.0038044937 0.003808221 0.0038928315 0.0038153029 0.0038261123 0.003788466 0.0038745676 0.0038372942 0.0037426199 0.0038466125 0.003844749 0.0038920862 0.0038820223 0.003928987 0.0038760586 0.0038678583 0.0039532143 0.003901777 0.003848849 0.0038633856 0.0037504472 0.0039643967 0.0039125863 0.003909977 0.0037851115 0.0037847387 0.0038156756 0.0037407563 0.003640118 0.0038648765 0.003830585 0.003867113 0.0038577947 0.003860031 0.0037989027 0.0038063573 0.003865622 0.003879786 0.0039345776 0.0040829256 0.0038566764 0.003879786 0.0038428854 0.0039282413 0.003914823 0.00385444 0.003745229 0.003868231 0.0038164211 0.003903641 0.004054598 0.003907368 0.003932714 0.0039957063 0.0038831404 0.004025525 0.004014343 0.003930478 0.003986388 0.0039397962 0.003848849 0.003901777 0.003824994 0.003909232 0.0039144503 0.0038760586 0.0038458672 0.0038932043 0.0038149303 0.003840276 0.0038883588 0.0041019353 0.0039983154 0.0037895844 0.0040829256 0.0039461325 0.004017697 0.0038413943 0.0039371867 0.0038745676 0.00397856 0.0038976772 0.0038801585 0.0038022574 0.0038973044 0.0039051317 0.0040609343 0.0040870258 0.0038287214 0.0038440034 0.0038760586 0.0038633856 0.0037862298 0.0038507127 0.0038876133 0.003837667 0.003776166 0.0038436307 0.0040665255 0.0036956554 0.0037333015 0.0039841514 0.0038212666 0.004144427 0.0038149303 0.003837667 0.0038190302 0.004057207 0.0039796787 0.004297993 0.0038048665 0.00397446 0.0038406488 0.003865622 0.0038309577 0.0037310652 0.0038231304 0.003811203 0.0038261123 0.0038499672 0.0037962936 0.0038898496 0.0037385197 0.0038171667 0.0038715857 0.00369081 0.0037933118 0.003732556 0.00379853 0.0038059845 0.0037239832 0.0038633856 0.0038454945 0.00399757 0.0038548128 0.0038317032 0.003826485 0.003819403 0.0039502326 0.0038369214 0.003857422 0.0038510854 0.0038525763 0.0038186575 0.0038898496 0.0038570492 0.0038719585 0.0037959209 0.0039219046 0.0038350578 0.0038835132 0.003824994 0.0038048665 0.0038309577 0.0038387852 0.0037582747 0.003833567 0.0038387852 0.0039140773 0.0038674858 0.0037713205 0.0038723312 0.0039424053 0.003852949 0.003917805 0.0038287214 0.003920414 0.003811203 0.0038399033 0.0038104574 0.0037590202 0.0038857497 0.0038141848 0.0037515655 0.004109017 0.0038007663 0.0037992755 0.0038399033 0.0038663675 0.003943896 0.0037925662 0.003794057 0.0038812768 0.0038126938 0.0038697221 0.0037966662 0.0038741948 0.003783248 0.0038861225 0.0037150376 0.003857422 0.003785857 0.0038119485 0.0038328215 0.0038607765 0.0038380397 0.003827603 0.0037839934 0.0038667403 0.0037772842 0.003718765 0.0038186575 0.0039532143 0.0038033754 0.0038126938 0.003921532 0.0038641312 0.0037821296 0.0037042282 0.0038078483 0.0039144503 0.0038678583 0.0038179122 0.0038179122 0.0038872405 0.0037251015 0.0038071028 0.0038149303 0.003942778 0.0038850042 0.0038145576 0.0038659947 0.0039491146 0.0038857497 0.003972224 0.0050896797 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00073344726 1.32371015e-05 2.2372567e-06 7.457522e-07 7.457522e-07 7.457522e-07 1.8643805e-06 7.457522e-07 3.728761e-07 0.0 0.0 1.8643804e-07 6.338894e-06 0.0 0.0 2.9830087e-06 0.002441779 2.871146e-05 3.0948715e-05 2.479626e-05 7.084646e-06 1.0067654e-05 2.4050509e-05 1.1186283e-05 2.0881062e-05 1.0067654e-05 1.4542168e-05 1.2118473e-05 1.0999845e-05 8.389712e-06 7.457522e-07 1.6406548e-05 0.00032906316 3.355885e-06 3.169447e-06 1.4915043e-06 1.7525177e-05 1.1186283e-05 2.9830087e-06 2.7965707e-06 2.9830087e-06 0.0 3.728761e-07 3.728761e-07 1.3050663e-06 1.8643804e-07 2.2372567e-06 2.7965707e-06 0.00032309713 4.101637e-06 2.6101327e-06 1.3050663e-05 7.457522e-07 1.1186283e-06 1.342354e-05 5.593142e-07 2.7965707e-06 5.593142e-07 3.728761e-07 3.728761e-07 3.915199e-06 7.457522e-06 4.660951e-06 2.9830087e-06 0.0006115168 9.694779e-06 1.2304911e-05 4.660951e-06 2.852502e-05 1.5660797e-05 1.7711614e-05 1.0813407e-05 1.5474357e-05 2.6101327e-06 2.6101327e-06 3.355885e-06 5.033827e-06 3.728761e-06 1.24913495e-05 7.457522e-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 0.0009774946 1.6779425e-06 0.00017730259 1.435573e-05 2.4982699e-05 2.0881062e-05 0.0004448412 0.0002425559 1.1186283e-06 5.593142e-07 1.8643804e-07 5.593142e-07 3.728761e-07 0.0 3.728761e-07 1.8643805e-06 0.00045267158 1.6779425e-06 4.1762123e-05 1.47286055e-05 1.8270928e-05 1.808449e-05 0.00012062542 5.723648e-05 9.881217e-06 1.8643804e-07 5.593142e-07 1.8643805e-06 5.033827e-06 0.0 2.9830087e-06 1.808449e-05 0.0005548396 6.5253316e-06 2.0881062e-05 4.3812943e-05 0.00013684553 6.2829626e-05 0.00038331663 0.00020321747 4.0457056e-05 3.542323e-06 3.542323e-06 1.0999845e-05 7.084646e-06 4.8473894e-06 8.389712e-06 3.616898e-05 0.00018289573 2.0508185e-06 1.3796415e-05 2.0694624e-05 1.24913495e-05 4.101637e-06 3.747405e-05 3.2813095e-05 2.759283e-05 3.728761e-07 3.728761e-07 7.084646e-06 4.101637e-06 0.0 2.6101327e-06 3.337241e-05 0.00015213345 1.17455975e-05 3.43046e-05 9.135464e-06 8.203274e-06 5.5931414e-06 6.655839e-05 4.138925e-05 9.508341e-06 4.8473894e-06 5.9660174e-06 6.1524556e-06 6.1524556e-06 5.4067036e-06 1.0440531e-05 4.288075e-06 0.0003797743 2.0135309e-05 3.635542e-05 2.7406393e-05 0.000116150906 5.8727986e-05 0.00018606517 0.000113354334 3.43046e-05 2.0694624e-05 4.0084182e-05 2.1440375e-05 2.3304756e-05 2.2559005e-05 1.8270928e-05 2.684708e-05 0.002956721 0.0006497366 0.00025281 0.0004595698 0.00051867065 0.00093386817 0.0003743676 0.000565653 0.0015056736 0.00011354077 0.00014598099 0.00036523215 0.0008976992 0.0002308103 0.00053880597 0.001709264 0.0010265278 0.00026119972 0.00016481124 0.00018047204 0.00024199659 0.00019837008 0.00016853999 0.00020060733 0.00029680936 9.35919e-05 0.00012826938 0.00011204927 0.00022894592 0.000112608584 0.00014187935 0.0002615726 0.06025678 0.0608077 0.060990226 0.060497098 0.060810126 0.061608452 0.060895514 0.060548928 0.0607926 0.060576703 0.06135583 0.06094194 0.06050306 0.06093075 0.060419537 0.060955174 12834.0 5.8503976 75084.0 0.009948857 0.009775718 0.009908902 0.010188589 0.0094827125 0.0106547335 0.009815673 0.009855628 0.00908316 0.010827873 0.009908902 0.009868947 0.0092563 0.010494912 0.010468275 0.009908902 0.009868947 0.009669171 0.009602578 0.010628097 0.010028767 0.009456076 0.009309573 0.009269618 0.009309573 0.0091630705 0.009043205 0.009655852 0.009775718 0.009282936 0.009722444 0.010201907 0.0094827125 0.01169357 0.009882265 0.010814554 0.013052048 0.011067605 0.009709125 0.011320654 0.010668051 0.011880028 0.010308455 0.01017527 0.010574823 0.011134196 0.010148633 0.0101219965 0.010454957 0.01017527 0.010987693 0.011427201 0.010867828 0.011094241 0.010241862 0.0104416385 0.011174152 0.010388365 0.00933621 0.010468275 0.0109743755 0.009442758 0.009882265 0.00984231 0.009735763 0.012679133 0.010055404 0.010574823 0.01060146 0.014783443 0.010814554 0.009669171 0.011027649 0.013185233 0.01009536 0.010148633 0.013092004 0.011001012 0.012679133 0.012146396 0.010281818 0.009642534 0.011706889 0.011919983 0.013558148 0.010508231 0.010361728 0.010108679 0.009882265 0.01017527 0.00933621 0.009882265 0.009815673 0.009296255 0.009682489 0.008883384 6.5776978 0.0 0.0 0.0 45.0 2682880.0 2772992.0 1.0 0.0 134.0 0.0 1.0 0.0 0.0 0.0 1091599400.0 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 -1.0 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 7.0 10.0 5.0 1.0 4.0 0.0 39424.0 1024.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39424.0 0.0 2641408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2479997 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5843487 0.0 7.9962106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39212.0 0.0 2719744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 40164.0 2641100.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 560.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.04943427 0.0097237965 0.0074966694 0.005925749 0.005547933 0.005289427 0.0045934496 0.0044940244 0.0060052895 0.0038179324 0.0047923005 0.004036668 0.006760922 0.004573565 0.0041559786 0.0030026447 0.0057070134 0.0048121857 0.0042355186 0.0038179324 0.0044343695 0.0034997712 0.0049712663 0.0031617251 0.005388852 0.0041360934 0.004374714 0.003440116 0.0038775876 0.0030424148 0.0031418402 0.0025254032 0.0069995425 0.0035594264 0.005190002 0.0033406909 0.0059058643 0.0044144844 0.004354829 0.0030623 0.0044343695 0.0035196564 0.0044542546 0.0033009206 0.0044741393 0.0041559786 0.0036588518 0.0030424148 0.00455368 0.0037383921 0.003400346 0.003917358 0.0031816103 0.0031816103 0.0036588518 0.003082185 0.0041162083 0.0034997712 0.0033009206 0.0033208057 0.003400346 0.0034798863 0.0031816103 0.0023663226 0.0064626457 0.005945634 0.0038577025 0.003758277 0.0053490824 0.0048917257 0.003758277 0.0030424148 0.004991151 0.003400346 0.003996898 0.0031418402 0.003917358 0.0038775876 0.0032611506 0.0027640238 0.0047127604 0.0036986219 0.0043945992 0.0029827596 0.0050905766 0.0037980473 0.00310207 0.0031418402 0.0041162083 0.0031816103 0.0044144844 0.0026248286 0.0034997712 0.0026645986 0.003121955 0.0028634493 0.004951381 0.003977013 0.004315059 0.0035991967 0.00455368 0.0041360934 0.003917358 0.002744139 0.00455368 0.003718507 0.0045337947 0.0031816103 0.004036668 0.003082185 0.0029429896 0.003400346 0.004076438 0.0034798863 0.00467299 0.003996898 0.003758277 0.0029827596 0.0035991967 0.0026049435 0.0036190818 0.0028833344 0.0028634493 0.0036986219 0.0031816103 0.0031418402 0.0023663226 0.0030623 0.006780807 0.0043945992 0.0050905766 0.0044144844 0.004334944 0.003996898 0.0035991967 0.0031816103 0.004732645 0.0041758637 0.0041758637 0.004851956 0.004036668 0.0038179324 0.003380461 0.002744139 0.004016783 0.0041162083 0.0037980473 0.003400346 0.0038378173 0.0036389667 0.0034798863 0.0033605758 0.0032611506 0.0041559786 0.0035196564 0.0035991967 0.003440116 0.0026248286 0.0032810357 0.0033208057 0.0041360934 0.00310207 0.0038179324 0.0036588518 0.0032412654 0.0041162083 0.0035594264 0.0029032193 0.004295174 0.0034798863 0.0045934496 0.0027242538 0.0029231044 0.0030225299 0.002803794 0.0028435641 0.004016783 0.0032810357 0.0035196564 0.0032213805 0.004334944 0.003917358 0.0035793115 0.0025254032 0.0033406909 0.0028634493 0.0022867825 0.0030424148 0.0029628745 0.0032014954 0.00310207 0.003082185 0.0047724154 0.0039571277 0.0038974725 0.003996898 0.0037781622 0.0036389667 0.0031617251 0.0027242538 0.0032810357 0.003718507 0.0036588518 0.003758277 0.003440116 0.003121955 0.0032213805 0.0033208057 0.003440116 0.0035793115 0.0027242538 0.0033009206 0.0034997712 0.0030225299 0.0033208057 0.0030225299 0.0036190818 0.0034997712 0.003121955 0.0031418402 0.0028236792 0.0027043687 0.0035594264 0.0032014954 0.0038775876 0.0036190818 0.003400346 0.003400346 0.0032412654 0.0028435641 0.002744139 0.0031816103 0.00310207 0.0034600012 0.00310207 0.0032412654 0.0033009206 0.0030424148 0.0028435641 0.0031418402 0.0038179324 0.003082185 0.0026645986 0.0029827596 0.0025452883 0.0025452883 0.0033605758 0.0035594264 0.0030225299 0.0026645986 0.0026844838 0.0031617251 0.0036389667 0.0026248286 0.0029429896 0.0051502315 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012715657 0.00045776367 0.0004984538 0.0002339681 0.00053914386 0.0007324219 0.0012613932 0.0013122559 0.00086466473 0.00013224284 0.00015258789 0.00018310547 0.00029500326 0.00018310547 0.0004374186 0.00083414715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008371989 0.0006306966 0.00069173175 0.00055948895 0.0010782877 0.0011698405 0.0018513998 0.001546224 0.0009765625 0.0005289714 0.00040690103 0.00035603842 0.0006510417 0.0004984538 0.0005187988 0.0009969076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10246786 0.06390381 0.06693522 0.05500285 0.06524658 0.05585734 0.058614094 0.051381428 0.06628418 0.056722004 0.055185955 0.05215454 0.056915283 0.05146281 0.05105591 0.049143475 242.0 6.5826445 1593.0 0.02259887 0.00690521 0.010043942 0.0075329565 0.00690521 0.00690521 0.00690521 0.0075329565 0.010043942 0.0075329565 0.011299435 0.008160703 0.011927182 0.008160703 0.018832391 0.0056497175 0.008160703 0.006277464 0.013182675 0.010043942 0.011299435 0.008160703 0.01381042 0.00690521 0.010043942 0.012554928 0.006277464 0.00878845 0.005021971 0.00690521 0.0018832391 0.0037664783 0.011299435 0.020087885 0.008160703 0.008160703 0.012554928 0.012554928 0.011927182 0.003138732 0.010043942 0.010043942 0.0075329565 0.00690521 0.01381042 0.0075329565 0.012554928 0.008160703 0.01381042 0.011299435 0.0175769 0.014438167 0.015065913 0.010671688 0.011927182 0.009416196 0.011927182 0.005021971 0.010043942 0.008160703 0.009416196 0.008160703 0.0075329565 0.0075329565 0.010043942 0.011299435 0.01381042 0.011927182 0.018832391 0.024482109 0.011299435 0.004394225 0.014438167 0.015693659 0.008160703 0.008160703 0.024482109 0.010043942 0.015693659 0.016321406 0.015065913 0.008160703 0.020715632 0.016949153 0.018832391 0.011927182 0.010043942 0.0056497175 0.010043942 0.011299435 0.006277464 0.004394225 0.006277464 0.0025109856 0.003138732 0.003138732 6.4434147 0.0 0.0 0.0 2.0 50289.0 98304.0 0.0 0.0 11.0 1.0 1.0 0.0 0.0 0.0 1273591300.0 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 39424.0 1024.0 4096.0 4.0 1.0 3.0 2.0 4.0 16497.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13.321852 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.936302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25812.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 684.0 94760.0 17232.0 69632.0 0.0 0.0 0.0 0.0 16.0 36480.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.51737976 0.008743286 0.0050811768 0.0033111572 0.0041503906 0.0024108887 0.0030517578 0.0024261475 0.0023956299 0.0014648438 0.0065460205 0.001159668 0.0008544922 0.0032806396 0.002243042 0.0007019043 0.001083374 0.0021820068 0.0016784668 0.0014190674 0.00091552734 0.0008239746 0.0013275146 0.0011138916 0.0012054443 0.0010375977 0.0007324219 0.0011291504 0.0010528564 0.001373291 0.0012359619 0.0017852783 0.024887085 0.001663208 0.0040130615 0.0014190674 0.0012359619 0.00093078613 0.001159668 0.001083374 0.003036499 0.0010681152 0.0011901855 0.0009613037 0.0025939941 0.0010681152 0.007583618 0.0018463135 0.0035858154 0.0019073486 0.0011138916 0.0014648438 0.0013427734 0.0017242432 0.00091552734 0.0012054443 0.0006713867 0.00091552734 0.0021820068 0.00064086914 0.002166748 0.0031585693 0.0028381348 0.0010223389 0.00091552734 0.0021820068 0.0012512207 0.0024108887 0.0027770996 0.001373291 0.0016937256 0.0011138916 0.00093078613 0.0010681152 0.0005340576 0.0011444092 0.0010070801 0.0011444092 0.0010528564 0.0009918213 0.0015106201 0.0008087158 0.001663208 0.0033721924 0.002166748 0.0012664795 0.0013275146 0.0009765625 0.000869751 0.00048828125 0.0004272461 0.00065612793 0.0005187988 0.00035095215 0.00038146973 0.0015563965 0.00044250488 0.011856079 0.0035858154 0.0055236816 0.0054779053 0.02217102 0.0025024414 0.0031433105 0.002746582 0.010070801 0.00076293945 0.0012969971 0.0074157715 0.007217407 0.010635376 0.010375977 0.0057678223 0.00064086914 0.011993408 0.011566162 0.0149383545 0.0059661865 0.0018920898 0.0029296875 0.0026245117 0.00541687 0.0011291504 0.0014953613 0.0008087158 0.0009613037 0.0011138916 0.0008087158 0.0032196045 0.001083374 0.0007171631 0.00088500977 0.00090026855 0.00062561035 0.0006866455 0.0005187988 0.00091552734 0.00074768066 0.00064086914 0.0005493164 0.0007171631 0.00047302246 0.00045776367 0.0005187988 0.0004119873 0.0005187988 0.0005340576 0.0005340576 0.00065612793 0.00036621094 0.0004272461 0.00044250488 0.00038146973 0.00044250488 0.00061035156 0.0005187988 0.00065612793 0.00045776367 0.00044250488 0.0005493164 0.00074768066 0.00039672852 0.00039672852 0.0005645752 0.0006713867 0.0005187988 0.00032043457 0.00074768066 0.0005340576 0.0007171631 0.0005187988 0.00088500977 0.0004272461 0.00088500977 0.00062561035 0.00065612793 0.0008087158 0.0006713867 0.0008087158 0.0009613037 0.00091552734 0.00065612793 0.0007171631 0.0007324219 0.00077819824 0.0009613037 0.00088500977 0.0010223389 0.00088500977 0.00061035156 0.00079345703 0.00088500977 0.001449585 0.0006866455 0.000579834 0.0007171631 0.0006713867 0.00061035156 0.00038146973 0.0004272461 0.00064086914 0.00062561035 0.0004272461 0.0005493164 0.0008544922 0.00038146973 0.00050354004 0.00048828125 0.0006866455 0.0008392334 0.00019836426 0.0002746582 0.00035095215 0.00032043457 0.00038146973 0.00062561035 0.00039672852 0.00062561035 0.0005340576 0.00064086914 0.00036621094 0.00024414062 0.00065612793 0.00050354004 0.0007324219 0.0004272461 0.00061035156 0.0004272461 0.0005493164 0.0004272461 0.00047302246 0.0005493164 0.00038146973 0.0005340576 0.0005950928 0.000289917 0.00035095215 0.0005493164 0.00061035156 0.0006713867 0.0008544922 0.0009613037 0.00050354004 0.00047302246 0.0007019043 0.0004272461 0.00036621094 0.00047302246 0.00064086914 0.00047302246 0.00035095215 0.00022888184 0.0005340576 0.0010375977 0.00088500977 0.037857056 0.15828837 0.0 0.0 1.5500993e-05 0.0 1.5500993e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.5500993e-05 0.0003952753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029234871 9.3005954e-05 0.0002092634 3.875248e-05 0.00012400794 4.6502977e-05 0.00022476439 0.00011625744 6.975447e-05 7.7504965e-06 0.0 3.1001986e-05 6.975447e-05 1.5500993e-05 3.875248e-05 0.0014260913 0.013726128 2.3251489e-05 0.00017051092 0.0002480159 0.00022476439 0.00013950893 0.0007905506 0.00029451886 0.00011625744 7.7504965e-06 7.7504965e-06 3.1001986e-05 2.3251489e-05 7.7504965e-06 4.6502977e-05 1.5500993e-05 0.039132256 0.0023949032 0.0018833706 0.00047278026 0.00024026538 0.00018601191 0.00089905754 0.00074404763 0.00030226936 0.0001937624 8.525546e-05 0.00013950893 5.4253473e-05 0.00015500993 0.00011625744 0.0006200397 0.025220115 7.7504965e-06 0.00072854664 0.00051928323 0.0002015129 0.00018601191 0.0015733507 0.0011625744 0.00023251488 0.00015500993 0.0002015129 0.00015500993 0.00017826141 0.00023251488 0.0001937624 0.0007983011 0.012493799 0.0002015129 0.0001937624 0.00015500993 0.00015500993 0.00017051092 0.00014725943 0.00021701389 0.00025576638 0.00017051092 0.00017051092 0.00015500993 0.00023251488 0.00017051092 0.00023251488 0.0007517981 0.012121776 0.0003952753 0.00067429314 0.00048828125 0.0018833706 0.0011858259 0.00843254 0.0052238344 0.0002015129 0.000108506945 0.00013175844 0.00023251488 0.00017826141 7.750496e-05 0.00011625744 0.00029451886 0.07486979 0.0046502976 0.026925223 0.008417038 0.0048208083 0.003503224 0.041759674 0.026173426 0.0021623883 0.00072854664 0.0007517981 0.0010850695 0.0011160715 0.00081380206 0.0008370536 0.007734995 0.058702257 0.0033559648 0.005092076 0.0028831845 0.0032707094 0.0025266616 0.012160528 0.008688306 0.0020538815 0.0010463169 0.0011780754 0.0013640873 0.0012090774 0.00086805556 0.00085255457 0.005859375 0.06423611 0.0034799727 0.009827629 0.0066034226 0.004735553 0.0051695807 0.025964161 0.016338045 0.0026274181 0.0017593626 0.002232143 0.0024724083 0.001937624 0.0018833706 0.0017748636 0.007688492 0.053532675 0.0033172122 0.0068979417 0.0053633433 0.0037589907 0.0038209946 0.013230097 0.009230841 0.003061446 0.0019453745 0.0026351686 0.0036814855 0.0027901786 0.0020538815 0.0022863962 0.0093781 0.007525732 0.00045727927 0.00067429314 0.00048053075 0.00042627729 0.00051153277 0.00034877233 0.0007750496 0.00069754466 0.00044952877 0.00057353673 0.00067429314 0.0005812872 0.0004185268 0.00046502976 0.00081380206 0.008169022 0.001061818 0.001891121 0.000875806 0.0012478299 0.0006665427 0.0006355407 0.0013485863 0.0012943328 0.00093781 0.0013098338 0.0022631448 0.0013020834 0.00065879215 0.0009300595 0.007153708 0.0019918776 0.00088355655 0.0012710814 0.0007207961 0.0007207961 0.00045727927 0.00051153277 0.00074404763 0.0007750496 0.00055803574 0.00048828125 0.000984313 0.00045727927 0.0003952753 0.00037202382 0.0045417906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 462.0 28.978355 13388.0 0.10262922 0.0007469376 0.013668957 0.0007469376 0.00044816252 0.00029877503 0.00044816252 0.0003734688 0.00044816252 0.00044816252 7.469376e-05 0.0005228563 0.008365701 0.0017926501 0.027711384 0.0061995815 0.011652226 0.0050044814 0.0011204063 0.004257544 0.0035853002 0.004406932 0.0014938752 0.002763669 0.00089632504 0.0015685689 0.0072452943 7.469376e-05 0.008440394 0.012847326 0.008365701 0.0003734688 0.00022408126 0.0059008067 0.0022408126 0.0074693756 0.010830594 0.002464894 0.004406932 0.0014938752 0.0011204063 0.0020914252 0.0 0.0022408126 0.0016432626 0.0023902003 0.0016432626 0.0014938752 0.003659994 0.0011204063 0.004855094 0.012399163 0.0061995815 0.002763669 0.0028383627 0.0020914252 0.00089632504 7.469376e-05 0.00014938752 0.00014938752 0.00014938752 0.00022408126 0.0 0.0044816253 0.0003734688 0.05056767 0.013295488 0.02248282 0.022184046 0.09515984 0.008066925 0.011876307 0.00993427 0.041604422 0.0013444877 0.0035106065 0.029279953 0.029877502 0.04317299 0.038616672 0.016208544 0.0009710188 0.04795339 0.049447265 0.062742755 0.025694652 0.005452644 0.0103824325 0.008963251 0.020316701 0.0017926501 0.0 0.0 0.0 0.0 0.0 5.16467 0.0 2.0 0.0 1.0 65536.0 81920.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1483378200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 53248.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 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 -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 -5.12603 0.0 4.084321 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 -49748.0 0.0 2544.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 57856.0 2544.0 65536.0 0.0 0.0 0.0 0.0 12.0 73728.0 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: 0.14218244 0.013016147 0.0076556425 0.0061960425 0.011985719 0.004141407 0.004199459 0.0033908742 0.012490567 0.0019623737 0.007438983 0.005332515 0.010804977 0.004321784 0.0032965392 0.0129021155 0.024943814 0.0020307926 0.0011983645 0.0018286463 0.005400934 0.0026963204 0.001556008 0.0011330558 0.0033245287 0.0014668563 0.0008199882 0.0010107313 0.0022453787 0.0010739669 0.0015145421 0.0015217987 0.0070460937 0.0008832237 0.0014720395 0.0014627097 0.003632413 0.0016783325 0.0007370564 0.0008604175 0.0018006568 0.000702847 0.00077437575 0.0030021314 0.0016586361 0.001541495 0.0012667833 0.0008759672 0.0054486194 0.0025916188 0.0027429694 0.0074897786 0.0029140164 0.002065002 0.0018815154 0.0020256094 0.0030353041 0.002570886 0.0020390858 0.0051210388 0.003108906 0.002876697 0.0017768139 0.0032073876 0.0048722434 0.0037630307 0.0019312744 0.0025055772 0.0021593368 0.015150604 0.0039921296 0.0020370125 0.002626865 0.0015290552 0.0013196523 0.0008469411 0.0017902903 0.008441421 0.0016482696 0.001485516 0.0101674395 0.003155555 0.0015383849 0.003747481 0.0021189076 0.0067071095 0.0052050073 0.0041103074 0.0023749596 0.004538443 0.00073601975 0.0017467511 0.0015300919 0.0063701994 0.0034748425 0.002652781 0.0014015475 0.0027906552 0.0008718206 0.0020245728 0.0032758063 0.0048795003 0.0056041167 0.0012284274 0.004138297 0.0028487076 0.0058653518 0.0008396845 0.0022992843 0.0014326469 0.00270876 0.0030363407 0.0028891368 0.00075882603 0.004596495 0.0032644032 0.01174107 0.013561424 0.0018079133 0.0016068037 0.0016876622 0.0014844793 0.00076400925 0.00080340187 0.0013569717 0.003270623 0.0014896626 0.0016762591 0.0040035327 0.0021282374 0.0013175791 0.015886623 0.0038573656 0.010449408 0.0014523432 0.0011009197 0.0021728133 0.012012672 0.0017674841 0.041526027 0.0012450137 0.014668563 0.0008199882 0.0006862607 0.0013486785 0.0005318002 0.0004032559 0.00096615555 0.0011890348 0.0009609723 0.00047582123 0.0004467951 0.0013041026 0.0008127317 0.00060540217 0.0005473499 0.0010915899 0.0007297999 0.0005494232 0.0009091399 0.0016845523 0.0017467511 0.0005152138 0.0010563439 0.0010604905 0.0007277266 0.0006655277 0.0004861877 0.0017934003 0.00056186295 0.0005556431 0.0006582712 0.0010128047 0.00047271128 0.000523507 0.0005318002 0.002606132 0.0009962183 0.0013144691 0.0006406482 0.0011040297 0.0012066577 0.0016700393 0.001664856 0.003185618 0.001155862 0.00080132857 0.000797182 0.0012885529 0.0012543435 0.0011299459 0.0011289092 0.009993282 0.0047789454 0.0039392607 0.0062292153 0.004244035 0.0011143961 0.0035940572 0.0054403264 0.0037993132 0.0024952106 0.0013932544 0.0013051393 0.013061759 0.0011361657 0.0019540808 0.0013466051 0.0028673671 0.0015663744 0.0018048034 0.0010397575 0.0014678929 0.0005224704 0.0012885529 0.0008386479 0.0028601107 0.0011610453 0.0006727843 0.001482406 0.001979997 0.0010698203 0.0007121769 0.00075260614 0.0025076505 0.0008738939 0.0006966272 0.00062198855 0.0017322381 0.00198207 0.00060540217 0.00062820845 0.017830338 0.003942371 0.00076193595 0.005352211 0.0069289524 0.00062198855 0.0008386479 0.001017988 0.005489049 0.0017467511 0.0010636004 0.0021168343 0.0026776607 0.0013538618 0.003600277 0.0021075045 0.0053729443 0.0022920277 0.0026745507 0.0018877352 0.0074877054 0.0019613372 0.004717783 0.05497964 0.002122285 5.188961e-07 0.0 5.188961e-07 5.188961e-07 0.0 5.188961e-07 0.0 0.0 0.0 0.0 0.0 0.0 5.188961e-07 5.188961e-07 0.0 0.0010206687 5.188961e-07 2.0755845e-06 2.5944805e-06 7.2645457e-06 5.7078573e-06 1.3491299e-05 9.34013e-06 0.0 5.188961e-07 5.188961e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017206596 1.19346105e-05 4.5143963e-05 1.7123572e-05 2.8020391e-05 1.868026e-05 5.5521887e-05 2.4388117e-05 1.1415715e-05 1.5566884e-06 2.0755845e-06 2.0755845e-06 2.0755845e-06 4.670065e-06 3.1133768e-06 0.00017694358 0.0016526842 0.00013128071 7.212656e-05 1.5566884e-05 5.759747e-05 2.1274742e-05 4.0473897e-05 2.1793638e-05 4.0992792e-05 9.859026e-06 4.151169e-06 1.1415715e-05 3.1133768e-06 9.859026e-06 5.188961e-06 2.8020391e-05 0.0059315017 0.0005723424 0.0002407678 6.278643e-05 6.2267536e-05 6.8494286e-05 0.00038294535 0.0001878404 5.8116366e-05 0.00016293339 1.7123572e-05 2.1793638e-05 6.278643e-05 6.278643e-05 3.736052e-05 0.00056974794 0.023873372 0.0020138358 0.001508431 0.00044832626 0.0009231162 0.0005349819 0.0026686827 0.0015613585 0.00013179962 0.00046181754 0.00012868624 0.0001738302 0.00014010195 0.0002267576 0.00019095377 0.003271121 0.020078167 0.0019904855 0.001623626 0.0008748589 0.0014845618 0.000854103 0.0042938655 0.002487069 0.00029888417 0.00024907014 0.00016397117 0.00010170364 0.00013128071 0.00016760344 0.00013698857 0.0011955367 0.010322919 0.0014409745 0.0012821923 0.0004125224 0.0010497269 0.0008473574 0.0025830648 0.0014638059 0.0002132663 0.000349736 0.00017123572 0.000116751624 0.00015514994 0.00013179962 0.00011363825 0.0005998439 0.009569482 0.0017154706 0.0009397209 0.00058220146 0.0010258576 0.0008281582 0.0033157463 0.0019225101 0.00039799334 0.0003860587 0.0005240851 0.00020652065 0.00021430409 0.00019977501 0.00017642468 0.00031237546 0.011773753 0.0021482299 0.001918359 0.017957438 0.0033759382 0.0023251735 0.0041086194 0.0030562982 0.002112426 0.0013532811 0.0014098408 0.0013460165 0.0020164303 0.0013314874 0.0014456447 0.0018322222 0.012185756 0.0022452634 0.0011924233 0.0019261424 0.00239263 0.0027553383 0.0017543877 0.0019702485 0.0067617353 0.0006787161 0.0006890941 0.0011265235 0.0049632415 0.0009750058 0.0017362264 0.0076568313 0.08623327 0.02089906 0.009076012 0.012656395 0.023021864 0.02712737 0.011396515 0.01831859 0.059281286 0.0035430228 0.0042772605 0.008520274 0.034483243 0.0078093866 0.021861613 0.048944358 0.05886721 0.018209103 0.009280976 0.013134818 0.020436205 0.02276449 0.011712523 0.01938544 0.04372426 0.0038439825 0.004746343 0.008219315 0.021715803 0.009286684 0.019475209 0.035070114 0.0057561146 0.002407678 0.0022006384 0.00280152 0.0022587548 0.0020454885 0.0028933648 0.0023614962 0.0021539377 0.0018244388 0.0018955276 0.0020911514 0.001953644 0.0018799606 0.0017725491 0.0019609085 3188.0 14.378608 45839.0 0.041711207 0.0018325007 0.0016361614 0.001439822 0.008944348 0.0026396737 0.0018979472 0.003097799 0.0045158053 0.0020070246 0.0011125897 0.0025087807 0.0038831562 0.00449399 0.010493248 0.0064137527 0.02768385 0.018957656 0.017081525 0.012827505 0.015205393 0.011867624 0.011474945 0.012652981 0.014441851 0.011714915 0.013460154 0.012740243 0.015096315 0.0126093505 0.010405987 0.01459456 0.020026615 0.013351076 0.0032723227 0.012020332 0.009140688 0.006391937 0.0075699734 0.004188573 0.004472174 0.005890181 0.0015270839 0.0016143458 0.006740985 0.0060865204 0.003468662 0.0051048235 0.015532625 0.0024433343 0.005672026 0.012478457 0.009118873 0.0037740788 0.008922533 0.012151225 0.0068500624 0.0018761316 0.002966906 0.0025305962 0.0033814001 0.0017670542 0.0018543162 0.01010057 0.00473396 0.026353106 0.006195598 0.022491764 0.0202884 0.044874452 0.009598813 0.008486223 0.010995004 0.02851284 0.0065882765 0.0029232749 0.017932327 0.013394708 0.022797182 0.03643186 0.016099827 0.0010907742 0.035450164 0.025284147 0.046554245 0.013896463 0.005213901 0.0055193175 0.0070027704 0.006348306 0.002072471 0.0012652981 0.0034904776 0.0013961911 0.0012871136 0.0017016078 6.0486407 5.0 61.0 0.0 6.0 964648.0 999424.0 1.0 6.0 172.0 1.0 1.0 1.0 0.0 0.0 1533700700.0 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 14.0 14.0 6.0 0.0 6.0 0.0 689152.0 1024.0 4096.0 8.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -33280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 -685568.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6464796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3076816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.023846336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5350246 0.0 0.0 0.0 -5.913198 0.0 0.0 0.0 0.0 -6.668613 0.0 4.631563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 159592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81152.0 0.0 0.0 0.0 -3338.0 0.0 0.0 0.0 0.0 -685177.0 0.0 14512.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 855408.0 240.0 855628.0 14512.0 946176.0 0.0 0.0 53288.0 911360.0 33168.0 962560.0 84.0 804960.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 805048.0 0.0 0.0 732.0 700416.0 0.0 0.0 0.0 0.0


Input: 0.22365846 0.013892277 0.0069593075 0.0032242504 0.006171265 0.0032311813 0.0038549614 0.002669086 0.0045099305 0.0030676122 0.0049375664 0.0021839237 0.0031133562 0.0027404742 0.0021361005 0.0022601634 0.012011927 0.0025346268 0.002964342 0.0028271102 0.005410253 0.0032623704 0.0021153078 0.0019302531 0.0026316592 0.0022767975 0.0020522368 0.0021603587 0.0023239276 0.0019586696 0.0021118424 0.0021492692 0.006248198 0.002068871 0.0021582793 0.0017209401 0.0022359053 0.0023357102 0.0018955986 0.0015123204 0.0035132684 0.0023301654 0.002545023 0.0021104561 0.0040739775 0.0015837086 0.0061504724 0.0015857877 0.005632042 0.002949094 0.0024653177 0.003229102 0.003003848 0.0028915675 0.0023003626 0.0027571083 0.002855527 0.0032492015 0.0021215456 0.0026392832 0.0026275006 0.003385047 0.0028804783 0.0023807609 0.0035042583 0.0026115596 0.0029303806 0.003058602 0.0030031549 0.003127218 0.0023696716 0.0016980682 0.0021832306 0.002412643 0.0016689585 0.0022164988 0.0032200918 0.002255312 0.0019656005 0.0015587573 0.004483593 0.0019787692 0.002350958 0.0036865408 0.0026281937 0.0023066003 0.003103653 0.0025484886 0.0018796575 0.0018020315 0.0017223264 0.0017029198 0.0018484686 0.0018560925 0.0022913525 0.0025651227 0.002529775 0.0067687077 0.0037191159 0.00394437 0.0036373315 0.012181041 0.003586736 0.002996917 0.0030239476 0.0072698114 0.0017223264 0.002475714 0.007167234 0.00393536 0.0076690307 0.00908709 0.004248636 0.0016239077 0.007608039 0.005930763 0.00865599 0.005548871 0.0017063853 0.0036532725 0.0032928663 0.0048294445 0.001914312 0.002745326 0.0017840113 0.0020168892 0.001805497 0.0018893608 0.0049909344 0.0031168216 0.00161767 0.002117387 0.0029678075 0.002188082 0.0018484686 0.0017458914 0.0034564352 0.0025879946 0.0015081618 0.011110218 0.0020861982 0.0026080941 0.002193627 0.002240757 0.0039097155 0.0019427286 0.002504824 0.0020356027 0.0022386776 0.0020972874 0.002117387 0.0022241229 0.0017840113 0.0018041108 0.0018574788 0.0017770804 0.0017888629 0.0017153955 0.0015982634 0.0016121252 0.0021437246 0.002193627 0.0017292573 0.0017133162 0.0019711454 0.0022504602 0.0019517388 0.0017313365 0.001766684 0.0015892532 0.0017549015 0.0017167816 0.0016377695 0.0016842064 0.0014811313 0.0016599484 0.0020557023 0.001820745 0.0017153955 0.0017472776 0.0019662937 0.0018699543 0.0017361881 0.0015809361 0.0023253139 0.0024944276 0.0020168892 0.0017576739 0.0019344116 0.0020252063 0.0017493569 0.0020952083 0.003353165 0.0016835134 0.0020501574 0.0026427486 0.0018803506 0.0017285642 0.0022844216 0.0021215456 0.0022158057 0.0018685681 0.0019344116 0.002093822 0.0044406215 0.0016675723 0.0025498746 0.0024396735 0.002576905 0.0020910497 0.002256698 0.002558885 0.003098108 0.002380068 0.0019967896 0.0019274807 0.0024868036 0.0022664012 0.0017417328 0.0017528223 0.002171448 0.0016405418 0.0018803506 0.0019073811 0.003175734 0.0016578691 0.0016821271 0.0018332206 0.0019739177 0.0018269828 0.0016904442 0.0020328301 0.007079212 0.0020051068 0.001727178 0.0022123402 0.0032006854 0.003408612 0.0037177298 0.0019635214 0.0033503924 0.0022435293 0.0018810438 0.0057914522 0.0036366384 0.0026628482 0.0026593828 0.0027564152 0.0043366584 0.0031653377 0.002520765 0.0028693888 0.002933153 0.0024701694 0.0030953358 0.049219027 0.01628217 1.7339534e-06 5.5486507e-06 2.4275346e-06 4.161488e-06 1.3871627e-06 6.9358134e-07 3.4679067e-06 1.1790882e-05 0.0 3.4679067e-07 0.0 3.4679067e-07 0.0 0.0 2.115423e-05 0.0053208093 5.5486507e-06 2.150102e-05 4.855069e-06 9.710138e-06 4.161488e-06 1.2484464e-05 1.3871627e-06 2.7743254e-06 1.3871627e-06 0.0 0.0 9.016557e-06 0.0 5.5486507e-06 0.0002826344 0.006438862 1.2137673e-05 7.664074e-05 1.10973015e-05 3.71066e-05 0.0 5.0978226e-05 8.322976e-06 7.6987526e-05 4.855069e-06 2.080744e-06 6.9358134e-07 2.184781e-05 0.0 4.855069e-06 0.00035580722 0.004358812 8.2189385e-05 3.3985485e-05 1.8033114e-05 1.4218417e-05 1.1444092e-05 1.4911999e-05 2.8783625e-05 0.0001078519 3.7453392e-05 2.2888184e-05 3.190474e-05 2.3234974e-05 7.976185e-06 1.1444092e-05 0.00016645952 0.0023165615 5.3752552e-05 4.5082787e-05 3.3291904e-05 1.3524836e-05 3.641302e-05 5.895441e-06 6.242232e-06 2.4622137e-05 9.363348e-06 1.3178045e-05 1.6992743e-05 2.635609e-05 9.051236e-05 2.184781e-05 0.00012727217 0.00620998 0.00017131459 0.00011617487 5.9301205e-05 6.380948e-05 5.5833298e-05 7.733432e-05 6.346269e-05 0.0001518943 0.000102996826 7.664074e-05 0.00010646473 0.00022610751 0.00016611273 7.455999e-05 0.0015109669 0.0063937795 0.00033534656 0.00017478249 9.120594e-05 0.00018969449 0.0001300465 0.00047683716 0.00023997914 0.00027223068 0.00011998957 7.80279e-05 0.00013282082 0.00027604538 0.00022714789 0.00011062622 0.0021150762 0.015987396 0.00060723047 0.00097448175 0.0002864491 0.0022770276 0.0017752214 0.013158278 0.0065494883 0.0006595958 0.0001595237 0.00017235496 0.00016299161 0.00035129895 0.00038528442 0.00015085394 0.0032175237 0.04542056 0.002567638 0.0032591387 0.001994393 0.0026182695 0.0022125244 0.011972254 0.0073429453 0.0015296936 0.0006828308 0.0005614541 0.0006533536 0.0007840937 0.0011260293 0.00091587414 0.005847584 0.030005367 0.00416773 0.002779874 0.0020862927 0.0017287515 0.0015501543 0.0066042813 0.00506141 0.0026799983 0.0015636791 0.0010296215 0.0012942228 0.001833829 0.001850475 0.001441262 0.0117378235 0.046289966 0.008929512 0.006230094 0.0061798096 0.003984278 0.0041004526 0.016798193 0.009933818 0.0032691956 0.0020935752 0.0018508218 0.0021778455 0.002399098 0.002910614 0.0029196306 0.013455824 0.029896824 0.0046442207 0.0039929477 0.011367451 0.00320712 0.002700459 0.008346558 0.0056547686 0.0031991438 0.002309279 0.0021837407 0.0026300603 0.002478166 0.0028433367 0.0030306035 0.009526686 0.02322457 0.005125913 0.0030129172 0.0027288957 0.0022718257 0.0019898848 0.0034099927 0.002633875 0.003310117 0.002855821 0.0025333057 0.002926913 0.0034186624 0.0029494546 0.0038622075 0.009739962 0.017132847 0.004550587 0.0034231707 0.0037890347 0.0032761313 0.0035521768 0.002733404 0.0027073948 0.008348292 0.0031904741 0.0022309043 0.0029144287 0.0044881646 0.004136866 0.005968961 0.012784437 0.0153777385 0.0048890547 0.0047118445 0.003697482 0.005022569 0.0061187744 0.0030853965 0.003619454 0.00970563 0.0047687185 0.0035507896 0.003039967 0.0056263315 0.0031283984 0.007621765 0.008365631 0.017771982 0.0145985 0.015227925 0.014891191 0.015080539 0.014529142 0.015010487 0.015430104 0.0150593845 0.0151225 0.014678609 0.014815938 0.015009447 0.014924136 0.015064933 0.016393142 6516.0 22.44429 146247.0 0.027597148 0.001189768 0.0022838076 0.0016820858 0.0027009102 0.0013128475 0.0009299336 0.0015863574 0.0023179962 0.0019624333 0.0015590063 0.0025778306 0.018017463 0.0017778142 0.035952874 0.0015384931 0.024882562 0.011241256 0.003979569 0.010872018 0.009921571 0.012273756 0.0057163564 0.009805329 0.005859949 0.0074668196 0.0040205955 0.0035487907 0.0049915556 0.016868722 0.0033915224 0.0025641553 0.0037265723 0.0043419693 0.0033915224 0.009839518 0.010448078 0.0031795525 0.0062565384 0.0017436255 0.002810314 0.004759072 0.0016684103 0.0061539724 0.006188161 0.003911191 0.0020171355 0.0017778142 0.01226008 0.003624006 0.0049642045 0.016800344 0.007883922 0.0028376651 0.00643432 0.006324916 0.0022085924 0.0021197016 0.0016615725 0.0013128475 0.0024137248 0.0011760925 0.001135066 0.006365943 0.003029122 0.034277625 0.014256703 0.017737117 0.01712172 0.07230917 0.014072084 0.014037895 0.009805329 0.04210001 0.0018325162 0.008697614 0.035036616 0.02027392 0.040896565 0.041894875 0.010345511 0.00124447 0.041142724 0.034229763 0.04825398 0.028397163 0.0029333935 0.01712172 0.0061813234 0.019617496 0.003220579 0.0011760925 0.0018325162 0.0012239567 0.0008000164 0.00077266543 5.7414455 0.0 4.0 0.0 10.0 1442816.0 1449984.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 3151778800.0 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 5.0 0.0 5.0 0.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -22528.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1339392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3856564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.385396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.964248 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7694335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63148.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1339168.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1150.0 86016.0 0.0 0.0 0.0 0.0 22392.0 1425408.0 56.0 1424804.0 0.0 0.0 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 87168.0