Input: 0.3875022 0.008436269 0.006346747 0.0050390186 0.005697621 0.002563337 0.0012437634 0.0017839121 0.0030324135 0.0036388964 0.0117932465 0.0016844111 0.0017388997 0.0071143266 0.0010471303 0.0030703188 0.004010841 0.0014285512 0.00072019827 0.0020989988 0.0011395242 0.0017033636 0.0005638394 0.00039089707 0.0014119676 0.0005140889 0.00085523544 0.0006443879 0.00086944987 0.00039089707 0.00064675696 0.00046433834 0.030013788 0.00084102096 0.0019734378 0.002653362 0.0022127144 0.00069413846 0.0023359063 0.0005851611 0.0012935139 0.0008244375 0.0007059838 0.00061358995 0.002260096 0.0036412654 0.005891885 0.00047855277 0.0060387673 0.0015778027 0.0016228152 0.002039772 0.0011750603 0.0010305468 0.0019994976 0.0007036147 0.0012058582 0.0018526153 0.0035393953 0.0033782984 0.00079600856 0.0013835387 0.0006491261 0.00039800428 0.004314082 0.0023738113 0.0017365307 0.0029021145 0.0067471205 0.0025941352 0.0031248075 0.001035285 0.0012721923 0.0016062316 0.0018052338 0.00052356516 0.0016749348 0.0018312936 0.0011205716 0.0019142111 0.003465954 0.0009879036 0.00194264 0.0039468757 0.0019663307 0.0012153345 0.0015375285 0.0017720667 0.0007225673 0.00051645795 0.0005306724 0.0005591013 0.0010115942 0.00071309105 0.0007509962 0.00096421276 0.0012840377 0.012252847 0.0037336594 0.007597618 0.007808465 0.023399336 0.0040961276 0.0040724366 0.0063254256 0.012560826 0.0017199471 0.0015043615 0.010592126 0.006173805 0.011660578 0.015619299 0.007981407 0.0005211961 0.014095985 0.009990382 0.018298721 0.00633964 0.0027315414 0.0044159526 0.0028973764 0.0027623393 0.0010139634 0.001454611 0.00083391374 0.0016465059 0.00046907648 0.0008765571 0.0038094698 0.00088840246 0.00064201886 0.0018241863 0.00086708076 0.0013314191 0.0005519941 0.00074625807 0.0039516143 0.0010589757 0.0013480026 0.0036696943 0.0006278044 0.0016867801 0.00036957543 0.0016180769 0.00087892613 0.00040037336 0.0008268065 0.00071072194 0.0005211961 0.000388528 0.00043590946 0.00031034858 0.00045012392 0.0013835387 0.00045723113 0.00029376507 0.00043354038 0.00029850323 0.00040037336 0.0003269321 0.004335404 0.00090024783 0.0005543631 0.0005306724 0.0015019923 0.00046196926 0.00045723113 0.0005733157 0.002331168 0.0005211961 0.052129086 0.0005117198 0.00060648273 0.0002724434 0.00038615894 0.00032456304 0.0010755592 0.00041932595 0.00033877746 0.00037194448 0.00060648273 0.00033403933 0.00039089707 0.00042406408 0.0009547365 0.000291396 0.00076521066 0.0007936395 0.0003269321 0.00031508674 0.0004998744 0.0010779283 0.0027078507 0.0005259343 0.0007723179 0.00091920036 0.0011134644 0.00038615894 0.00056857755 0.00083628285 0.0005733157 0.00047855277 0.0005401487 0.00041221874 0.0033569767 0.00032219396 0.00040748058 0.00036720635 0.00058753014 0.00038142077 0.00043827854 0.00027718156 0.00039326615 0.00037194448 0.00046433834 0.0005519941 0.00054251775 0.00025822897 0.0003269321 0.00039563523 0.00041695687 0.0003079795 0.00029613415 0.00034588468 0.0011466314 0.0002819197 0.00037194448 0.00035773005 0.00033640838 0.00036009913 0.00028902694 0.00039800428 0.0015327904 0.0005140889 0.0017673286 0.00074625807 0.00073678175 0.00030561045 0.0005709466 0.00037431356 0.0027765539 0.00036483727 0.00043354038 0.00042406408 0.0008386519 0.00042880225 0.00057568477 0.0013882769 0.0016157079 0.0005638394 0.0006088518 0.00083391374 0.00072493637 0.00029850323 0.0007083529 0.025884494 0.053480458 1.3068355e-05 2.3760645e-06 0.0 7.1281934e-06 4.752129e-06 5.9401614e-06 4.752129e-06 0.0 0.0 0.0 0.0 2.3760645e-06 1.1880322e-06 4.752129e-06 1.1880322e-06 0.011716374 5.227342e-05 3.207687e-05 2.138458e-05 5.9401613e-05 3.0888838e-05 2.613671e-05 2.732474e-05 7.959816e-05 2.9700806e-05 8.316226e-06 5.9401614e-06 2.8512773e-05 2.138458e-05 1.3068355e-05 1.3068355e-05 0.0044812574 2.732474e-05 2.8512773e-05 5.227342e-05 3.207687e-05 1.5444419e-05 7.0093905e-05 2.8512773e-05 2.0196549e-05 2.4948677e-05 7.1281934e-06 7.1281934e-06 3.207687e-05 7.1281934e-06 1.069229e-05 2.138458e-05 0.008727285 3.9205064e-05 0.00010573487 0.00027324742 0.00015206813 4.752129e-05 0.00023760645 0.00013305961 9.029045e-05 1.7820483e-05 0.0020790563 8.553832e-05 2.732474e-05 4.5145225e-05 5.227342e-05 5.227342e-05 0.011576186 0.0002756235 0.00023047825 0.000147316 0.00020077745 9.6230615e-05 0.0005262983 0.00027443544 8.7914384e-05 2.9700806e-05 3.6829e-05 2.3760645e-05 2.613671e-05 6.652981e-05 4.3957192e-05 0.00095636596 0.039113585 0.00060589646 0.0021277657 0.00091240875 0.0010656649 0.00064391346 0.0042222664 0.0020517316 0.00035759772 6.5341774e-05 0.0037434895 0.000118803226 0.00015800829 0.00011523913 0.00037423015 0.00028512772 0.09652643 0.002579218 0.0058665033 0.0014636557 0.0037815066 0.0019448088 0.0152662145 0.008651251 0.0011369468 0.00015800829 0.010136291 0.00025542694 0.00025542694 0.0001770168 0.00088508404 0.0017677919 0.09784634 0.0023725005 0.016466128 0.00079835765 0.0048970687 0.0032599606 0.038133457 0.019268695 0.00037660621 0.00019721335 0.003830216 0.00016870057 0.00012474338 7.484603e-05 0.00054293073 0.0014232626 0.042712133 0.0009729984 0.012651355 0.0066921855 0.0038955577 0.0018521423 0.034587182 0.018597458 0.002138458 0.0004609565 0.013310713 0.0008743917 0.00069024676 0.000294632 0.00043244375 0.008255636 0.03244041 0.0011476391 0.008045354 0.007592714 0.0051477435 0.0019020396 0.022191254 0.013073106 0.0022738937 0.00042769162 0.014971582 0.0010906135 0.0007401441 0.0003469054 0.00069499883 0.007135322 0.011426494 0.000553623 0.0013769293 0.0015076129 0.0023012185 0.00074370817 0.0033003537 0.0027015854 0.0016335443 0.00025542694 0.007666372 0.0007591526 0.0005274863 0.00032195673 0.00035046952 0.003503507 0.0080774315 0.0004680847 0.0006926228 0.0016335443 0.001362673 0.00061421265 0.0006771784 0.0016893819 0.0019305524 0.00048352912 0.005006368 0.0008767678 0.0010561607 0.0002542389 0.00056075124 0.0038135834 0.001839074 0.0002174099 0.0007888534 0.00016394845 0.00047283684 0.0003457174 0.0011868442 0.0008957763 0.00038017033 9.9794706e-05 9.385455e-05 0.00010098274 0.00019958941 6.0589646e-05 0.00019483728 0.00025899103 0.011560742 0.0020743043 0.0015551342 0.0013995019 0.00345955 0.004007233 0.0022216202 0.0028572176 0.0048447954 0.0009801266 0.0007033151 0.00077103294 0.0030888838 0.00073182787 0.0016715614 0.0043018647 0.010182625 0.0018818431 0.002063612 0.00280732 0.004234147 0.0033003537 0.0027455424 0.0028037562 0.0049457783 0.0012913911 0.0012450578 0.0009646822 0.0034132167 0.0010193316 0.0016703734 0.004092771 0.01025153 0.004603625 0.0047663855 0.0037292333 0.005336641 0.0038278399 0.004863804 0.003202935 0.004765197 0.0040191133 0.00375537 0.0029035509 0.0039561475 0.002837021 0.002612483 0.0026956452 3327.0 21.930267 72962.0 0.098201804 0.0004248787 0.00663359 0.011211315 0.0008908747 0.0005756421 0.00041117295 0.0006167594 0.0018228667 0.001685809 0.00030152683 0.00026040952 0.008004166 0.017748965 0.019955594 0.0008223459 0.024451084 0.00537266 0.0047970177 0.0036868507 0.0023985088 0.0019051012 0.007867109 0.0017269263 0.0028233875 0.007675228 0.01740632 0.016200215 0.0016721033 0.0045366082 0.0012746361 0.000465996 0.0014116938 0.0053041307 0.003549793 0.006811765 0.014898166 0.004577725 0.008319399 0.0020695704 0.0018776897 0.0039198487 0.0022340396 0.0006578767 0.0020695704 0.0038787313 0.0013568708 0.0033442066 0.004673666 0.0003563499 0.0019462185 0.008141224 0.0034675584 0.0013842823 0.0011924015 0.001863984 0.00060305366 0.00041117295 0.00038376142 0.00052081904 0.0023710972 0.0003426441 0.00017817495 0.0016721033 0.0005482306 0.04348839 0.013417943 0.025931306 0.024135852 0.069227815 0.01362353 0.013678353 0.019270305 0.04333763 0.0013568708 0.00385132 0.034702998 0.02297086 0.035689812 0.05047833 0.01754338 0.00038376142 0.04712042 0.034387764 0.05459006 0.015720513 0.0088539235 0.009977797 0.008250871 0.008716866 0.0013020476 0.005838656 0.00028782105 0.0005071133 0.00020558648 0.0009868151 5.382293 3.0 1.0 0.0 4.0 422106.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.014897273 0.0076528694 0.006666917 0.0064039966 0.0076998197 0.005056528 0.0064603365 0.0053851786 0.0077232947 0.0044931266 0.0057044397 0.0049767126 0.006746732 0.0044133114 0.0056903544 0.0055495044 0.007432204 0.0037278396 0.0045072115 0.0038874699 0.005849985 0.0034508337 0.004723182 0.0045166016 0.0060659554 0.003206693 0.0040799654 0.003502479 0.0053194487 0.0032395583 0.0045306864 0.0041222204 0.0068030725 0.003920335 0.0039954553 0.0036761945 0.005338229 0.0034743089 0.0041222204 0.003488394 0.004802997 0.0029015173 0.0038029598 0.0040799654 0.0044227014 0.0033569336 0.004314716 0.0036761945 0.0062725362 0.0033710187 0.004554162 0.004314716 0.0052302433 0.0037137545 0.0046950122 0.00397198 0.005493164 0.004615197 0.004263071 0.005108173 0.0062819263 0.003572904 0.0043288013 0.004295936 0.006098821 0.0046433667 0.004784217 0.003863995 0.004310021 0.003507174 0.004324106 0.0040705753 0.0052443286 0.0032489484 0.0038264347 0.0031409631 0.0041550854 0.003507174 0.0041316105 0.0037466197 0.00589224 0.0034367489 0.0041222204 0.0041269157 0.0041738655 0.003131573 0.0044461763 0.0041128304 0.0047889124 0.0030470628 0.0036714994 0.0032019983 0.00397198 0.0030376727 0.0040236255 0.0038827749 0.0049673226 0.0032489484 0.0033052885 0.0025212215 0.00389686 0.002784142 0.0038358248 0.0029437726 0.0050706128 0.0034132737 0.0041128304 0.0030423678 0.00390625 0.0030095028 0.00386869 0.003525954 0.0052067684 0.0025916467 0.004615197 0.003582294 0.0061222957 0.005418044 0.004033015 0.00391564 0.004333496 0.0038874699 0.0028968225 0.0025071364 0.0042161206 0.0028780424 0.0036996694 0.003502479 0.0061363806 0.0042349007 0.0040048454 0.0053523136 0.004554162 0.0037137545 0.0037653996 0.0033193736 0.0043616663 0.004338191 0.003572904 0.0053617037 0.0034743089 0.0045353817 0.0031409631 0.0024461013 0.004605807 0.0028310923 0.0033381535 0.0023475061 0.0031832182 0.0025165265 0.002755972 0.0026432918 0.003206693 0.0022301306 0.0028592623 0.0025071364 0.0033146786 0.0022489107 0.0039625904 0.0029531626 0.004033015 0.0028780424 0.002746582 0.0025259166 0.0036433293 0.002737192 0.0030517578 0.0026010366 0.0036198543 0.0025024414 0.0024414062 0.0024085413 0.0033428485 0.0023897612 0.0026432918 0.0022723859 0.0045166016 0.0022629958 0.0025446964 0.0024742712 0.0036292444 0.0024836613 0.0030893178 0.0028874325 0.004333496 0.0025165265 0.0030188928 0.0026245117 0.0032113881 0.0024554913 0.0032958984 0.003863995 0.005568284 0.004671537 0.004333496 0.0036621094 0.0036527193 0.0021362305 0.0039860653 0.003150353 0.0049344576 0.0028874325 0.0028545673 0.0022958608 0.0029813326 0.002328726 0.0030893178 0.0036996694 0.0048546423 0.0028874325 0.003530649 0.0028592623 0.0034508337 0.0020798903 0.0028498722 0.0025212215 0.004230206 0.0025024414 0.0033052885 0.0028639573 0.0036198543 0.0028263973 0.0030940128 0.0028639573 0.005516639 0.003206693 0.0029954177 0.002277081 0.0043710563 0.0020282452 0.0025963415 0.0033897986 0.008540227 0.0036245494 0.002793532 0.0051973783 0.0036668044 0.0024554913 0.0030940128 0.0027184119 0.005380484 0.0028263973 0.0031973033 0.003159743 0.0033287634 0.0019108698 0.003497784 0.0032348633 0.0048968974 0.0023991512 0.002713717 0.0024789663 0.0037560095 0.0026292067 0.0040471004 0.008164626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024060234 0.00010378925 0.00022173158 0.0001721958 0.00015568388 0.00011086579 0.00047412817 0.00040808046 0.00022409043 3.7741545e-05 3.5382698e-05 5.4253473e-05 8.9636174e-05 8.255963e-05 0.00011322464 0.00014153079 0.0040265513 0.0007972902 0.0004906401 0.0003750566 0.00034675046 0.0004929989 0.00033023852 0.00040100393 0.000507152 0.0001462485 0.00012266003 0.00026654967 0.00029485582 0.00023116697 0.00028070275 0.0005519701 0.0003986451 0.0003939274 0.00040336276 0.003399098 0.00039628622 0.00037269777 0.00040336276 0.00042223354 0.0003585447 0.00033731505 0.00036562124 0.00036798007 0.00033731505 0.00034203276 0.00033731505 0.0010260983 0.0010426102 0.0009977921 0.0007831371 0.005526778 0.00091759133 0.00091287366 0.00077606057 0.00092702673 0.0009105148 0.00071473053 0.0009789213 0.00092466787 0.0007784194 0.00076662516 0.00085862016 0.001507303 0.09516295 0.070175685 0.06430216 0.06480459 0.06498622 0.061327655 0.055234753 0.061195556 0.06460409 0.046476357 0.044516154 0.047780797 0.054987073 0.049156006 0.057152495 0.054659195 1597.0 6.3512836 10143.0 0.020605344 0.007591442 0.007887213 0.0076900325 0.010746327 0.0063097705 0.009760426 0.008577344 0.009859016 0.0057182293 0.008577344 0.006605541 0.010351967 0.0069999015 0.011239278 0.0115350485 0.016858917 0.010450557 0.015182884 0.010844918 0.015971607 0.011436459 0.014591344 0.0124223605 0.015774425 0.01192941 0.012915311 0.011732229 0.015380065 0.011042098 0.013506852 0.011732229 0.0146899335 0.009859016 0.010746327 0.010056197 0.010056197 0.009859016 0.008675934 0.009760426 0.010351967 0.009070295 0.0077886228 0.007887213 0.0115350485 0.0074928524 0.0101547865 0.013802622 0.014492754 0.008675934 0.010647737 0.009267475 0.011732229 0.0076900325 0.011239278 0.008873114 0.011337869 0.004830918 0.0077886228 0.007591442 0.009070295 0.0057182293 0.009859016 0.008577344 0.012027999 0.010647737 0.0101547865 0.0074928524 0.010844918 0.013211082 0.011436459 0.008577344 0.01252095 0.010450557 0.008971704 0.0053238687 0.012718131 0.009366065 0.011436459 0.01252095 0.013802622 0.0052252784 0.015873017 0.010943508 0.017154688 0.015478655 0.009661836 0.008577344 0.013211082 0.008281574 0.007295672 0.0052252784 0.0077886228 0.0064083603 0.008380163 0.007985803 6.526902 0.0 1.0 0.0 6.0 212992.0 491520.0 0.0 0.0 3.0 1.0 1.0 0.0 0.0 0.0 1541742500.0 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 14.0 0.0 5.0 1.0 5.0 1.0 212992.0 4096.0 4096.0 3.0 1.0 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 -210944.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9308796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2518473 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -212992.0 0.0 0.0 0.0 0.0 0.0 270336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 487980.0 556.0 487424.0 0.0 0.0 0.0 0.0 16.0 488224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 92.0 484972.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14569461 0.009672934 0.004746141 0.0039298953 0.00802531 0.0024213076 0.0018907007 0.001294832 0.012632416 0.0022236304 0.003168508 0.0026955963 0.007815338 0.0011349879 0.0013506355 0.008437689 0.0061393385 0.001204033 0.0010555388 0.0006781553 0.0055784653 0.0036726317 0.00075760443 0.001038514 0.0035676453 0.00060721854 0.0006809927 0.00057600637 0.0018651634 0.000535336 0.0006876135 0.0006715345 0.011111531 0.0005249319 0.0006034352 0.0009827104 0.001626816 0.0014887258 0.0006469431 0.0005901937 0.0015691208 0.0009127194 0.00047574908 0.0011255296 0.0014272473 0.00087677815 0.0016712697 0.0005202028 0.0034153678 0.0014773759 0.0015208838 0.004183376 0.002129048 0.0012437575 0.0013165859 0.0015747957 0.0021375606 0.0015010214 0.0015729041 0.005752497 0.0022992962 0.0019483959 0.001332665 0.0012872654 0.0026454676 0.0016618115 0.0012295702 0.00079922064 0.0031817495 0.022032952 0.0015360169 0.00056749396 0.0028762484 0.0009060987 0.00088529056 0.00043791617 0.003574266 0.013411773 0.001123638 0.0047887033 0.009637939 0.004607105 0.0034390134 0.00202217 0.0016901861 0.008477414 0.0020193327 0.0020041994 0.0010839135 0.00046250757 0.0008474576 0.0019606915 0.001584254 0.0021630977 0.0018661092 0.004252421 0.000877724 0.0030474425 0.0018916465 0.0027977452 0.0041881055 0.004826536 0.005656969 0.0013553647 0.006436327 0.00343523 0.0052720187 0.0029897473 0.002949077 0.0021744475 0.0029178648 0.0033406478 0.0028620611 0.00045494098 0.0031183793 0.0034049638 0.006023948 0.005019484 0.0011103965 0.0008181371 0.0031004087 0.0010082476 0.00073112134 0.00054006506 0.0013392858 0.0041398685 0.0013336107 0.0018178723 0.0017488272 0.0045257644 0.0011217464 0.016919833 0.0013600938 0.0060135443 0.00038873334 0.0003868417 0.001552096 0.0110708615 0.00080773304 0.037923727 0.0011614709 0.005408217 0.00042183718 0.0004152164 0.00079922064 0.0006753178 0.00045683264 0.00043791617 0.0013988726 0.0020779737 0.00036130447 0.0003660336 0.0009723063 0.00068193855 0.00037076272 0.00035657536 0.0005816813 0.000406704 0.00040481234 0.00039629993 0.00081624545 0.0017289649 0.00031968826 0.0004275121 0.0015066965 0.00040102904 0.00032441737 0.00032630903 0.0006545097 0.000374546 0.00042845792 0.0017450439 0.001556825 0.000267668 0.00036130447 0.0005533066 0.0018396262 0.0006601846 0.00047007416 0.00054195675 0.0010139225 0.00069234264 0.0009316359 0.0010366223 0.0044169948 0.0024799486 0.0011075591 0.00038305842 0.0016551907 0.0022406552 0.00072544644 0.005024213 0.0062641874 0.0074105253 0.0016135745 0.0019181295 0.009855478 0.00048236985 0.0005523608 0.00281477 0.0030701424 0.0011529585 0.00057316886 0.0004142706 0.1772066 0.0007878708 0.0005977603 0.0004114331 0.001417789 0.0021640435 0.00095055235 0.0006280266 0.0022756506 0.00042089133 0.0005769522 0.00037170853 0.0011075591 0.0003991374 0.0005816813 0.00036792524 0.0011964664 0.00035373788 0.00045494098 0.00041332477 0.0043375455 0.0014367055 0.0011624168 0.00043413287 0.00071787986 0.001868001 0.0007216631 0.0004019749 0.012963453 0.003059738 0.00091650273 0.00359602 0.008183262 0.0003868417 0.00046156175 0.00046156175 0.0011009383 0.00043413287 0.00073395885 0.0020751362 0.006699266 0.0006800469 0.0023683414 0.0014036017 0.006511047 0.0016476241 0.0013837394 0.0015710124 0.0017072109 0.0019408293 0.0032403904 0.04955168 0.0087142335 1.420799e-06 0.0 0.0 4.262397e-06 9.4719934e-07 0.0 0.0 9.4719934e-07 1.420799e-06 9.4719934e-07 4.7359967e-07 0.01842871 3.7887974e-06 4.7359967e-07 4.7359967e-07 0.0036959718 4.262397e-06 1.562879e-05 6.1567957e-06 1.8943987e-05 1.1366392e-05 5.304316e-05 3.173118e-05 3.3151975e-06 1.8943987e-06 1.420799e-06 0.0 1.8943987e-06 2.3679984e-06 3.3151975e-06 2.841598e-05 0.00089320895 2.841598e-06 4.262397e-06 3.7887974e-06 4.7359968e-06 2.2259184e-05 4.404477e-05 1.7523187e-05 9.945593e-06 0.0 1.420799e-06 3.7887974e-06 0.00091310014 4.7359967e-07 6.1567957e-06 1.23135915e-05 0.0017182196 0.0 1.4681589e-05 3.3151975e-06 4.7359967e-07 1.420799e-05 8.524794e-05 3.5993573e-05 0.0 0.0 0.0 0.0 0.0010371832 0.0 0.0 4.7359967e-07 0.0047345757 0.00012503032 0.0001482367 6.204155e-05 0.00016812788 6.251516e-05 0.00023632623 0.0001420799 5.730556e-05 2.3206383e-05 2.652158e-05 2.746878e-05 0.0017352692 6.346236e-05 2.9363178e-05 0.00011792631 0.003988656 0.000103244725 7.577595e-05 5.9199956e-05 0.0001292927 8.572154e-05 0.00019512307 0.0001311871 6.725115e-05 3.7887974e-05 3.6940775e-05 3.7414375e-05 0.0015699829 8.572154e-05 8.382714e-05 0.00010229753 0.002892273 7.7196746e-05 7.8143945e-05 4.7359965e-05 9.850873e-05 8.666874e-05 0.0002765822 0.00012503032 2.4627183e-05 1.2787191e-05 1.7523187e-05 1.08927925e-05 1.4681589e-05 1.1366392e-05 9.4719935e-06 9.6614334e-05 0.004405424 8.382714e-05 0.0030405098 0.00061046996 0.00034430696 0.00035188455 0.0028406507 0.0016306037 0.00025905902 3.5519974e-05 3.7414375e-05 5.8726357e-05 0.003384343 3.5519974e-05 0.00011224312 0.00022827504 0.010897054 0.0001359231 0.003824791 0.0010277113 0.0007373947 0.0007899642 0.008237792 0.0039408226 0.00019464946 4.120317e-05 4.404477e-05 5.304316e-05 0.0018228851 2.9363178e-05 6.298876e-05 0.00016812788 0.014431056 0.00034525414 0.0029713642 0.0011115384 0.0011963127 0.0018996083 0.009429843 0.00445752 0.001064652 0.00020080626 0.00021406704 0.0002647422 0.006963336 0.0001335551 0.0005162236 0.0013568631 0.012517239 0.000508646 0.0017205876 0.0009992953 0.0021463537 0.0023253744 0.0057111382 0.0031707496 0.0011086968 0.0002860542 0.00033246697 0.0004025597 0.0053943 0.00021359345 0.00061331154 0.0013469175 0.012166302 0.0018190963 0.0014923125 0.012349111 0.0031679082 0.0036415078 0.0026777324 0.0018664562 0.004744995 0.0011101176 0.0012346744 0.0019190258 0.016870093 0.0011536888 0.0030253546 0.004476464 0.047413483 0.007405204 0.0030305642 0.0052991067 0.017316697 0.014636598 0.006036028 0.0067227473 0.031531792 0.002739774 0.0024873454 0.007307169 0.07175082 0.0032739944 0.012911747 0.026868256 0.07922233 0.016496897 0.008031303 0.011310981 0.03322254 0.021960815 0.016076341 0.012456144 0.04895268 0.005051414 0.0059455703 0.013374454 0.08214633 0.0072190794 0.021601355 0.043701883 0.0069235535 0.0014875765 0.0011300088 0.001281087 0.0025825389 0.0017750516 0.0018621938 0.0017243763 0.0029036396 0.00076154823 0.0008595834 0.0012228343 0.0028325997 0.00087615935 0.0014629493 0.0032919913 0.0014998901 0.00075633865 0.0006038396 0.0005687932 0.0005953148 0.00051432924 0.00045039327 0.00041392611 0.0004219773 0.00045418207 0.0005645308 0.0005692668 0.00056358357 0.0005953148 0.0007274491 0.0013701238 3479.0 21.554182 74987.0 0.115633376 0.00097350206 0.0020003468 0.0005067545 0.0008401456 0.010121754 0.0020003468 0.0018536546 0.004840839 0.0044007627 0.0007734674 0.0014802566 0.0032138904 0.0048275036 0.006347767 0.0012002081 0.015496019 0.007467961 0.007614653 0.0061877393 0.00786803 0.005214237 0.0045874617 0.005280915 0.005107552 0.0043474203 0.0104551455 0.0040673716 0.006294424 0.014629202 0.006721165 0.0045607905 0.0013602357 0.0031072053 0.0028271568 0.0040006936 0.005467614 0.0033072399 0.0021737101 0.0017603051 0.002133703 0.00413405 0.00060010405 0.0008401456 0.0055742995 0.0048941816 0.0033072399 0.0031205409 0.0068011787 0.0014802566 0.0032405618 0.0033739181 0.004054036 0.003267233 0.0009334951 0.0010401803 0.0043074135 0.000786803 0.0030671982 0.0051608947 0.009961727 0.002333738 0.0033205755 0.03281902 0.00066678226 0.035192765 0.017563045 0.030525291 0.045767933 0.05909024 0.014855908 0.012028752 0.011855388 0.036472987 0.00061343965 0.004547455 0.030178564 0.024004161 0.03411258 0.037806552 0.027751477 0.00096016645 0.03453932 0.03628629 0.039086774 0.022190513 0.0073879473 0.003560617 0.008801525 0.0071078986 0.001573606 0.0010668515 0.0010401803 0.0005867684 0.0005734327 0.0007334605 5.5135865 69.0 0.0 0.0 7.0 1057280.0 1073152.0 1.0 0.0 107.0 1.0 1.0 0.0 0.0 0.0 1541030900.0 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 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 14.0 12.0 6.0 0.0 6.0 0.0 803840.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 215552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -803840.0 -3584.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.359301 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 5.609125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5072286 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6411586 -4.5721006 2.815419 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28378.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 215425.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -803399.0 -3577.0 1084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 -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 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1032836.0 1084.0 1040384.0 0.0 0.0 0.0 0.0 24932.0 1044480.0 56.0 1020928.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1020984.0 0.0 0.0 644.0 1032192.0 0.0 0.0 0.0 0.0


Input: 0.01973936 0.0041144406 0.0041174395 0.0039165253 0.0039345175 0.0038813404 0.0038137692 0.0038641477 0.003956308 0.0038505534 0.0038323612 0.0037961768 0.00383536 0.0038463552 0.0038251644 0.003936717 0.0038557514 0.0038513532 0.0038407578 0.003802574 0.0038395582 0.0038805406 0.00381197 0.0037939777 0.0038101708 0.003821566 0.0037919786 0.0038349603 0.0038207662 0.003849154 0.0038033738 0.0038557514 0.0039025312 0.0037939777 0.0038133694 0.0038239649 0.0038763424 0.0038267637 0.0038227653 0.0038099708 0.0038631482 0.0038087713 0.0038135694 0.0038783415 0.0037895795 0.003856751 0.003894335 0.0037803836 0.0038747431 0.003828163 0.0038809406 0.0038591498 0.004094849 0.003844956 0.003814569 0.0038043733 0.0038037736 0.003838159 0.0038631482 0.0038439564 0.0038251644 0.0038109703 0.0038477548 0.003842357 0.0040206807 0.0038343605 0.0038013745 0.003870345 0.003790579 0.0039788987 0.0038285628 0.0038837392 0.0038749431 0.0038811404 0.0037995754 0.0038037736 0.003842357 0.0038563511 0.0038759427 0.0037863809 0.0039041305 0.0038317614 0.0038369594 0.0038475548 0.0037923784 0.0038435564 0.0038483543 0.003879741 0.0038247646 0.0038513532 0.0037777845 0.0037611916 0.0037665893 0.0038739436 0.0038455557 0.0038385587 0.003823365 0.0038873379 0.0038709447 0.0038439564 0.0038701452 0.003954309 0.0038357598 0.0038185671 0.0038933351 0.0039083287 0.0039119273 0.0037813832 0.003886738 0.0038085715 0.0038641477 0.0038757427 0.003809571 0.0037705877 0.0039185244 0.0039039308 0.0039205234 0.0039495113 0.0038109703 0.0038031738 0.0037971763 0.0038525527 0.0038267637 0.0038117701 0.003846755 0.0039057299 0.00388254 0.0038569507 0.0039281202 0.0038917358 0.0039347177 0.0038531525 0.0038617486 0.0038507534 0.0037849816 0.0038403578 0.003830162 0.00392872 0.0037949772 0.0039611063 0.003823365 0.003860949 0.003774986 0.0038361596 0.003804973 0.0038125697 0.0038067722 0.0038183674 0.003734803 0.0037889797 0.0038185671 0.0038055726 0.0040350747 0.0037833822 0.003848954 0.0037525953 0.0037867809 0.0038031738 0.0038067722 0.0038335607 0.00376499 0.0038495539 0.0038019742 0.003846755 0.0037941777 0.0038497539 0.0037937777 0.0037931781 0.0037991754 0.0038527525 0.0038061724 0.003814169 0.0038147687 0.0038105706 0.0038573507 0.0037507962 0.0037717873 0.0038357598 0.0038039733 0.003823365 0.0037733866 0.0037873804 0.0038069722 0.0037739861 0.0038089713 0.0038153685 0.0038029738 0.0038203665 0.0038453557 0.0037991754 0.0037597923 0.0038409575 0.0038935351 0.003870545 0.0037895795 0.0039017317 0.0038273635 0.0037437992 0.0038111703 0.0038147687 0.003865547 0.003823365 0.0037895795 0.003790779 0.0038319614 0.0037801836 0.0038321614 0.0038487543 0.0037873804 0.0038061724 0.003800375 0.0037809832 0.003842157 0.0037847816 0.0038393582 0.0037869806 0.0038299623 0.0038373591 0.00378858 0.0038415573 0.0038545518 0.0037813832 0.0037927781 0.003797576 0.003819367 0.0038151687 0.003802574 0.0038307619 0.0037929781 0.0038433566 0.003785981 0.0038387585 0.003875143 0.003823365 0.003816568 0.0038495539 0.003930719 0.0037521955 0.0038455557 0.0038229653 0.0037811832 0.0038731438 0.003844956 0.004052867 0.0038627484 0.0038411575 0.0038549516 0.0038431566 0.0038793413 0.0037927781 0.0038081717 0.0038201665 0.0038569507 0.0038101708 0.0038747431 0.005014256 0.009826923 1.0999578e-06 5.9997694e-07 5.9997694e-07 5.9997694e-07 0.0 9.999616e-08 0.0 9.999616e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018659284 5.599785e-06 7.9996926e-07 2.9998847e-07 9.999616e-08 1.9999231e-07 5.9997694e-07 2.9998847e-07 7.9996926e-07 1.3999462e-06 5.9997694e-07 5.9997694e-07 1.9999231e-07 1.3999462e-06 2.499904e-06 2.7998924e-06 0.00017999309 6.799739e-06 1.3999462e-06 5.9997694e-07 3.9998463e-07 4.999808e-07 1.0999578e-06 5.9997694e-07 1.2999501e-06 1.6999347e-06 1.0999578e-06 9.999616e-07 5.9997694e-07 1.6999347e-06 2.8998886e-06 3.099881e-06 0.00017669321 2.0999194e-06 1.1999539e-06 1.3999462e-06 3.6998579e-06 8.999654e-07 1.6999347e-06 5.9997694e-07 5.699781e-06 3.2998732e-06 8.999654e-07 1.0999578e-06 1.1999539e-06 7.9996926e-07 6.999731e-07 2.7998924e-06 0.0003152879 4.1998387e-06 4.6998193e-06 4.6998193e-06 2.0999194e-06 2.499904e-06 1.9999231e-06 1.3999462e-06 4.5998236e-06 3.89985e-06 1.7999308e-06 1.5999385e-06 1.4999424e-06 1.4999424e-06 7.899696e-06 4.9898084e-05 0.00075957086 1.4899428e-05 1.689935e-05 2.1299182e-05 2.109919e-05 2.3299106e-05 2.3399101e-05 1.6299375e-05 2.3199109e-05 1.379947e-05 5.699781e-06 6.199762e-06 8.499674e-06 4.999808e-06 8.099689e-06 5.6697823e-05 0.0009073652 1.3299489e-05 6.6997425e-05 4.6698206e-05 2.889889e-05 2.5299028e-05 0.00014129457 7.499712e-05 1.9899237e-05 1.719934e-05 3.6998579e-06 5.2997966e-06 5.699781e-06 2.3999078e-06 5.9997697e-06 6.849737e-05 0.0014898428 2.5799009e-05 7.4697135e-05 0.00013319489 7.999693e-05 5.4297914e-05 0.00020229223 0.000110095774 4.789816e-05 5.6397836e-05 2.0399217e-05 2.1199186e-05 3.3898697e-05 2.5299028e-05 5.049806e-05 0.00023649092 0.00096466293 1.1499558e-05 7.239722e-05 0.00021059191 8.879659e-05 6.1797626e-05 0.00027228953 0.00015039422 3.8198534e-05 0.00019519251 3.539864e-05 2.3299106e-05 2.6998963e-05 2.3499098e-05 4.4198303e-05 0.00064787513 0.0004635822 6.6997427e-06 1.119957e-05 3.8398524e-05 1.929926e-05 1.1699551e-05 3.7098576e-05 4.2398373e-05 4.3198343e-05 4.449829e-05 2.7698936e-05 1.3199493e-05 4.869813e-05 1.9599247e-05 6.51975e-05 0.00013149495 0.0007381716 3.5798625e-05 7.0197304e-05 0.00027188956 7.279721e-05 4.919811e-05 0.0001483943 0.000114195616 7.689705e-05 5.2997966e-05 6.6597444e-05 3.4198685e-05 5.6897814e-05 3.5798625e-05 7.399716e-05 0.00014989424 7.259721e-05 6.099766e-06 7.0997276e-06 6.4997503e-06 2.5299028e-05 5.799777e-06 9.299642e-06 1.0899582e-05 2.4199071e-05 8.999654e-07 1.2999501e-06 2.5999002e-06 1.1999539e-05 2.499904e-06 7.1997233e-06 1.0499597e-05 0.00010599593 1.8799277e-05 1.1599554e-05 1.6499367e-05 4.3298336e-05 2.2699129e-05 1.8299297e-05 2.8298913e-05 5.2697975e-05 2.499904e-06 3.3998695e-06 5.399793e-06 2.0099229e-05 8.799662e-06 1.7599325e-05 3.359871e-05 0.001121257 0.00024269069 0.0001639937 0.00022119151 0.00044598288 0.00038878506 0.00021829162 0.0002916888 0.00052697974 5.7397796e-05 7.659706e-05 0.00010359602 0.00023119112 0.00010959579 0.00028818892 0.0006323757 0.060884964 0.06086786 0.060855363 0.06070357 0.060900662 0.06068357 0.060757067 0.060829066 0.06089776 0.060595375 0.06075797 0.06065547 0.060776368 0.06072087 0.06067497 0.060792167 23176.0 5.739084 133009.0 0.010059469 0.010285018 0.010224872 0.010209835 0.010254946 0.01032261 0.010435384 0.010172244 0.010119616 0.009833921 0.009848958 0.010179763 0.009645964 0.010194799 0.010164726 0.010097061 0.010247427 0.010510567 0.010382756 0.0102399085 0.010788743 0.0106759695 0.010570713 0.009961732 0.010345165 0.010548159 0.010563195 0.010269982 0.010390274 0.010157207 0.010894 0.010006841 0.009894067 0.00996925 0.010751152 0.010518085 0.009939177 0.010503049 0.009894067 0.0109691825 0.010127135 0.011051884 0.009630927 0.010082024 0.011081957 0.010412829 0.010751152 0.010209835 0.010736115 0.010375238 0.010488012 0.010285018 0.010149689 0.009976769 0.009668519 0.011164658 0.010097061 0.010247427 0.0102023175 0.009698592 0.0098564755 0.010555677 0.0099842865 0.010269982 0.009886549 0.011036847 0.010089543 0.0109691825 0.010976701 0.013344961 0.010029396 0.01106692 0.01001436 0.011352615 0.010157207 0.010006841 0.011059402 0.010390274 0.011142103 0.01106692 0.010307573 0.009713628 0.011405244 0.011788676 0.011841304 0.0108413715 0.010555677 0.01001436 0.010044433 0.011518017 0.0101120975 0.00996925 0.0103301285 0.010480494 0.010149689 0.010194799 6.5829735 1.0 0.0 0.0 75.0 5002138.0 1196032.0 0.0 0.0 172.0 1.0 1.0 0.0 0.0 0.0 1330111200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 28672.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 109568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.896456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.499061 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4727823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.527772 0.0 3.6868823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -610304.0 -3978.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10898.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28432.0 0.0 109240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 39780.0 109240.0 1081344.0 0.0 0.0 6504.0 26531424.0 2488.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.040312912 0.008851066 0.0067791007 0.009626116 0.008644386 0.0068927743 0.0066395914 0.007714327 0.009693287 0.0061332257 0.0066240905 0.007249297 0.0078125 0.0054718503 0.005415013 0.0068979417 0.008442874 0.0064587467 0.0047484706 0.0053220075 0.006334739 0.005549355 0.0045211227 0.0049964865 0.006055721 0.0046812994 0.0034670553 0.0046192957 0.0048414767 0.0036582341 0.0034825562 0.0041904347 0.008205192 0.0046812994 0.0045211227 0.004360946 0.0053375084 0.003720238 0.0036530672 0.003771908 0.006122892 0.0032242064 0.003916584 0.0048518106 0.005182498 0.0037564072 0.0030330275 0.003771908 0.005513186 0.0034515543 0.0037099042 0.003797743 0.0045624585 0.0030536954 0.0033792162 0.0036065641 0.004350612 0.0027953456 0.0029296875 0.0053581763 0.003730572 0.0028831845 0.002247644 0.0027023396 0.0066809277 0.0054511824 0.0046554646 0.0052135005 0.005533854 0.0054718503 0.0045056217 0.004123264 0.0051256614 0.003787409 0.0030123594 0.003942419 0.003813244 0.003885582 0.0033637153 0.003570395 0.0062675676 0.003689236 0.003999256 0.004035425 0.0053168405 0.00447462 0.004278274 0.0036375662 0.0049758186 0.0037150711 0.0027746775 0.0037150711 0.0032448743 0.0031260333 0.0027126735 0.0027746775 0.0048414767 0.003911417 0.0031983713 0.0033378804 0.005166997 0.0031932043 0.0046606315 0.0031260333 0.0044281166 0.0025163277 0.0030640294 0.0032242064 0.0048208083 0.0031932043 0.0030175264 0.0033947174 0.0046916334 0.002015129 0.0032087055 0.003730572 0.0053478424 0.0052083335 0.0031260333 0.0053116735 0.00421627 0.0020926339 0.002077133 0.0033688822 0.0034515543 0.0029038526 0.0024026537 0.0028676835 0.007936508 0.0037564072 0.0042111026 0.005632027 0.0043041087 0.0033637153 0.0026971726 0.0034463871 0.005864542 0.004143932 0.0047381367 0.0049706516 0.0032035382 0.0034360532 0.00203063 0.0023406497 0.005528687 0.0025938326 0.0033017113 0.0028831845 0.0024078207 0.0019117891 0.0026920056 0.0025473298 0.0032087055 0.00187562 0.0025731646 0.0029400215 0.0025628307 0.0022786458 0.001937624 0.001901455 0.0044074487 0.0030743633 0.003565228 0.0026713377 0.0030640294 0.0016844411 0.0021029678 0.0020926339 0.00421627 0.002020296 0.0034257192 0.0023303158 0.0030795303 0.001932457 0.0021443039 0.0023923197 0.0049241483 0.0028883514 0.0034205522 0.0032138724 0.0024026537 0.0028366814 0.0032190394 0.0027436756 0.0036427332 0.0028418486 0.0031983713 0.0031156994 0.0023923197 0.0023716518 0.0023199818 0.0023458167 0.0047433036 0.003839079 0.0033533813 0.004169767 0.0034773892 0.0026145007 0.0031725364 0.0030433615 0.0049809855 0.0031156994 0.001896288 0.0030330275 0.0027488426 0.0025731646 0.002009962 0.0024904928 0.004138765 0.0028108465 0.002015129 0.0026351686 0.0031156994 0.0022218088 0.0025731646 0.0028160135 0.004701968 0.0034722222 0.0022683118 0.0034050513 0.0031105324 0.0023974867 0.002190807 0.0024853258 0.004236938 0.002232143 0.0023458167 0.001953125 0.0037615742 0.0014880953 0.001782614 0.002056465 0.003684069 0.0023819858 0.0024026537 0.005275504 0.0045469576 0.0024491567 0.0023406497 0.0024956597 0.0046141287 0.00223731 0.0020357969 0.001994461 0.0034360532 0.0016586061 0.0030588624 0.0027746775 0.0043144426 0.001782614 0.001839451 0.0025989998 0.0027591765 0.001782614 0.001942791 0.0045159557 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0043218085 2.5972407e-05 0.00015063996 2.8569648e-05 1.5583444e-05 0.00014544548 0.00014804272 2.0777925e-05 2.5972407e-05 2.8569648e-05 2.0777925e-05 0.0001792096 3.636137e-05 4.155585e-05 5.4542055e-05 7.531998e-05 0.008147544 0.00027271028 0.00030387717 7.791722e-05 5.1944815e-05 0.00028829373 0.00028569647 5.9736536e-05 0.00027271028 5.9736536e-05 4.9347575e-05 0.0003246551 7.01255e-05 0.00012466755 0.00011427859 0.00013505651 0.0069606053 0.00043893367 0.00020518202 4.155585e-05 0.0012181059 0.000766186 0.00018180684 7.791722e-05 0.00021816822 4.415309e-05 3.636137e-05 0.00020258478 8.31117e-05 2.3375167e-05 3.636137e-05 0.00010388963 0.0060671545 0.00037919715 0.00012986203 9.350067e-05 0.0011895362 0.0008882563 0.00011947307 0.00068047707 0.00059217087 3.116689e-05 3.636137e-05 0.00013765375 7.272274e-05 8.830618e-05 6.493102e-05 6.752826e-05 0.0024595868 0.0001792096 0.00011947307 5.9736536e-05 0.00053762883 0.00031166887 0.00027011303 0.0011557721 0.00013765375 5.194481e-06 5.194481e-06 2.0777925e-05 1.5583444e-05 2.5972406e-06 5.194481e-06 3.376413e-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 0.0026491855 0.0003324468 0.00015843168 0.00012986203 0.00019479306 0.0001272648 0.00014544548 0.00015843168 0.00051944813 0.00010648687 7.531998e-05 0.00011947307 0.00015843168 0.00013505651 0.00014284824 0.0001662234 0.0022803773 0.0002103765 0.00027011303 0.00020258478 0.00018959858 0.0002363489 0.00040776678 0.00031426613 0.00029089095 8.830618e-05 3.636137e-05 0.00012986203 0.0001662234 0.000140251 0.0001532372 0.00020258478 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024206282 0.0009402011 0.000755797 0.00045191988 0.0007506026 0.000496073 0.0006856715 0.00057658745 0.0006441157 0.00048828125 0.00039737782 0.00044153092 0.0005090592 0.00038958612 0.00032205784 0.0003688082 0.11289167 0.07893534 0.070141084 0.057175655 0.06820354 0.059710562 0.056718543 0.05263568 0.06371032 0.042509038 0.043776494 0.046539955 0.05039686 0.045646504 0.04476864 0.042410344 1267.0 6.314128 8000.0 0.021 0.0115 0.0085 0.010875 0.01125 0.009625 0.007875 0.00725 0.0125 0.007875 0.008375 0.0105 0.012375 0.007875 0.008375 0.009125 0.0165 0.00775 0.010625 0.01125 0.01 0.006125 0.0075 0.010125 0.0085 0.0065 0.006875 0.0115 0.01025 0.005 0.003125 0.005875 0.0115 0.016375 0.01175 0.015875 0.014125 0.01575 0.012 0.01025 0.01375 0.0115 0.007375 0.008 0.0095 0.010375 0.00925 0.007125 0.014125 0.00825 0.011125 0.01175 0.015 0.01175 0.00925 0.00875 0.012125 0.008 0.005125 0.00875 0.007125 0.006125 0.0035 0.005625 0.008875 0.014125 0.007625 0.00925 0.016 0.0145 0.008875 0.00975 0.011875 0.01025 0.0055 0.009625 0.0165 0.009125 0.009875 0.0135 0.013 0.00475 0.011375 0.0125 0.0205 0.01475 0.008125 0.056625 0.010375 0.006875 0.005125 0.0065 0.0065 0.0055 0.0035 0.0055 6.4269514 0.0 1.0 0.0 2.0 193536.0 536576.0 0.0 0.0 9.0 0.0 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 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 4.0 0.0 184320.0 1024.0 4096.0 3.0 1.0 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 -183296.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8930717 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.5837734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -184320.0 0.0 0.0 0.0 0.0 0.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 540.0 532812.0 8524.0 524288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 523036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.03764592 0.004290782 0.0039860387 0.0037828768 0.006391477 0.0033359202 0.003567525 0.0043192245 0.0041892007 0.0036244104 0.0037138015 0.003364363 0.004059177 0.0033521731 0.00334811 0.007858307 0.0039291536 0.0038031929 0.00334811 0.003535019 0.003400932 0.00334811 0.003567525 0.003400932 0.0034375014 0.0036162839 0.0031652641 0.0033237305 0.003652853 0.003567525 0.0033521731 0.003514703 0.005887635 0.0033724895 0.003465944 0.0033277937 0.0096339425 0.0033602996 0.0033765526 0.003283098 0.0036650428 0.0036284735 0.0032749716 0.003299351 0.003738181 0.003396869 0.0033237305 0.003283098 0.0041363784 0.004469564 0.004107936 0.004278592 0.0046524103 0.003921027 0.0038925842 0.0057413587 0.00452645 0.0041160625 0.003112442 0.003449691 0.0035228294 0.0033359202 0.0034537541 0.0037666238 0.0036366 0.0034537541 0.0032709085 0.0033928056 0.004311098 0.0041566947 0.003872268 0.003600031 0.0033928056 0.0035431455 0.003364363 0.0034781336 0.003600031 0.0033196672 0.0034415645 0.0033724895 0.0036975488 0.0034618806 0.003449691 0.0034578175 0.003429375 0.0036122205 0.003449691 0.0034375014 0.0033602996 0.003295288 0.003669106 0.0034456279 0.0034090586 0.0033602996 0.003518766 0.009203239 0.0048636985 0.0042054537 0.0038763313 0.0041851373 0.0055828923 0.0041892007 0.00772422 0.0032587186 0.0042176433 0.0036812958 0.003465944 0.003283098 0.003994165 0.003396869 0.0034537541 0.003738181 0.0034578175 0.0034537541 0.0036366 0.0036812958 0.004558956 0.003754434 0.003502513 0.0034212484 0.0035106395 0.0035268925 0.0035756514 0.003214023 0.00334811 0.0034903234 0.003551272 0.0032343392 0.0037910033 0.003502513 0.0036812958 0.0042338963 0.0037584973 0.0037259914 0.003551272 0.0036975488 0.0041892007 0.005416299 0.003518766 0.003941343 0.0032546555 0.00566822 0.003465944 0.0036731693 0.0033928056 0.003315604 0.003417185 0.003429375 0.0033724895 0.003413122 0.0032668451 0.0031368216 0.0036609794 0.0035065764 0.003518766 0.0032749716 0.0059445207 0.0032871615 0.003368426 0.0034740705 0.0033196672 0.0032749716 0.0031165052 0.0036894223 0.003331857 0.0032262127 0.0032262127 0.0034212484 0.0030921258 0.003262782 0.00334811 0.0035106395 0.0035228294 0.0032343392 0.003449691 0.0034537541 0.003449691 0.003262782 0.0033440467 0.0033887425 0.0032749716 0.0034578175 0.003604094 0.0038113194 0.0040347977 0.003429375 0.004042924 0.0036975488 0.003396869 0.0035065764 0.0039007107 0.0031368216 0.004437058 0.0041810744 0.0035106395 0.0036284735 0.003941343 0.0035959675 0.0044004894 0.0040510506 0.0037503708 0.003685359 0.003315604 0.003364363 0.0033521731 0.003413122 0.0033399835 0.0035228294 0.0038235092 0.003246529 0.0040347977 0.0036162839 0.0034415645 0.0033887425 0.0032587186 0.0035431455 0.003770687 0.0034090586 0.003429375 0.003315604 0.003384679 0.003384679 0.0036406633 0.0036325369 0.0036122205 0.0034049954 0.0035390824 0.0034415645 0.0033277937 0.0033237305 0.0034903234 0.0034943866 0.0057210424 0.006220821 0.0035593985 0.0034537541 0.003433438 0.003368426 0.0035228294 0.0033440467 0.0034049954 0.003465944 0.0036366 0.0035431455 0.003384679 0.0039982283 0.0040673036 0.003705675 0.0040185447 0.00421358 0.0037950664 0.0033765526 0.0036772324 0.003620347 0.0039657224 0.01089761 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751561 0.053788573 0.056716215 0.053308465 0.05444438 0.053721152 0.059864506 0.054714058 0.05849364 0.05426664 0.05222362 0.05393567 0.056274924 0.05410524 0.056464925 0.05974397 1065.0 10.760564 11460.0 0.04930192 0.005061082 0.006980803 0.0042757415 0.0062827226 0.0042757415 0.0040139616 0.005322862 0.0059336824 0.005671902 0.0041884817 0.0047993017 0.0046247817 0.0035776615 0.0057591624 0.0046247817 0.014746946 0.02661431 0.022687608 0.02774869 0.018062828 0.016666668 0.015794067 0.056631763 0.02469459 0.015968587 0.004363002 0.0055846423 0.0060209422 0.007329843 0.005410122 0.005846422 0.0068935426 0.007940663 0.0041884817 0.004886562 0.0064572426 0.0055846423 0.0061082025 0.007155323 0.0047993017 0.0063699824 0.005148342 0.005846422 0.005671902 0.0059336824 0.0062827226 0.0042757415 0.0067190225 0.005322862 0.004886562 0.006806283 0.004363002 0.004537522 0.004537522 0.0060209422 0.0055846423 0.0041884817 0.0060209422 0.005846422 0.0034031414 0.005148342 0.0041884817 0.12600349 0.004973822 0.020331588 0.011169285 0.02547993 0.015095986 0.02303665 0.014048866 0.0072425827 0.0061954623 0.009685864 0.004712042 0.0042757415 0.010645724 0.0067190225 0.009336824 0.012827225 0.0060209422 0.0067190225 0.013961606 0.009249563 0.014834206 0.009947644 0.005148342 0.0063699824 0.0066317627 0.006980803 0.005235602 0.004886562 0.005061082 0.0062827226 0.005497382 0.005410122 5.9374104 0.0 0.0 0.0 5.0 246109.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 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 -236544.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0