Input: 0.12146788 0.014473171 0.0068662134 0.006683819 0.014226008 0.0036501186 0.0034506016 0.003976195 0.0144843375 0.0018671217 0.002271367 0.002415049 0.011353113 0.002161186 0.001969858 0.015563814 0.009041544 0.0017167395 0.0013817296 0.0013102609 0.006953316 0.003257785 0.0010913877 0.00079434563 0.004623136 0.0012015688 0.00088517054 0.0008911263 0.0037282875 0.00056356104 0.00075414445 0.002027182 0.0070977425 0.0005777059 0.0010608645 0.0007861565 0.016557677 0.0017368401 0.00062311837 0.00077647844 0.0023249686 0.0008955931 0.00065885275 0.0023852703 0.002084506 0.00062981853 0.0008702812 0.0006424745 0.0030538011 0.00086209207 0.0008084905 0.0061880047 0.001936357 0.00055909425 0.00067448657 0.0007548889 0.0022311658 0.0021031175 0.001019919 0.0051167174 0.0020443047 0.0012670818 0.0008740035 0.0012544258 0.0064582457 0.004934323 0.0027366583 0.0033136199 0.008601565 0.011588364 0.006766455 0.004061809 0.002721769 0.0012447478 0.0011576453 0.0012298585 0.004474243 0.005530641 0.0021410852 0.001615492 0.00859412 0.0044258526 0.006126214 0.006453779 0.008043215 0.006315308 0.0057390914 0.004523378 0.0031758936 0.0012864379 0.0005739836 0.0033173421 0.0014933996 0.0068215453 0.0053735585 0.00516213 0.0010906432 0.0026942238 0.0011211664 0.0016512264 0.0031684488 0.0037119093 0.0048055304 0.0008427359 0.0036396962 0.0023889926 0.0054584276 0.0004719917 0.0020175038 0.0011353112 0.002121729 0.0022132986 0.0024239826 0.00084496936 0.0041034985 0.003930038 0.015044921 0.011779691 0.0014323533 0.001805331 0.0025818094 0.0015812466 0.00061418477 0.000774245 0.003242151 0.0024746063 0.0024530168 0.0018202203 0.005058649 0.0013876853 0.00060301775 0.021792764 0.0038913258 0.013827719 0.00096631737 0.0008442249 0.0044429754 0.017665442 0.0019929365 0.05827534 0.0011420114 0.010566211 0.0008963375 0.0005077261 0.0014822326 0.00029108635 0.00036702192 0.0005471828 0.00085539185 0.0006610862 0.0003610662 0.00032235394 0.00082784664 0.0008486917 0.00024865178 0.00023971818 0.0008003014 0.00056356104 0.0003327765 0.00035585492 0.0009611061 0.0015864578 0.00022259545 0.0006782089 0.00072734366 0.00028289724 0.00024716282 0.0002389737 0.000930583 0.00028810848 0.00045040215 0.00040647865 0.0006558749 0.00031118694 0.00023152905 0.00028661956 0.0011241442 0.00028140828 0.00033500989 0.00032607626 0.0007735006 0.0008784703 0.002134385 0.0016437818 0.002924264 0.0010147077 0.0016274035 0.00045710235 0.0006313075 0.00065438595 0.001019919 0.000751911 0.0091621475 0.0046908827 0.0032041834 0.007363517 0.009068345 0.00062758516 0.003985873 0.008247943 0.0031610043 0.002635411 0.0010831986 0.0013422729 0.04111911 0.0005576053 0.0024291938 0.0020249486 0.002258711 0.0012440033 0.0020487716 0.00080104586 0.00139513 0.00027545256 0.0011353112 0.0007824342 0.0020524939 0.00061939604 0.00059259526 0.0014412869 0.00086879224 0.0002747081 0.00035287708 0.00041913457 0.0016125141 0.00073627726 0.00048539208 0.00041243437 0.0014777657 0.0034721913 0.00041243437 0.00030597567 0.014887839 0.0032280062 0.0004362573 0.00460378 0.0061068577 0.00029704208 0.0005486717 0.0010258746 0.0032235393 0.0016288925 0.0013981079 0.0007355328 0.0024917289 0.0005687723 0.0033709437 0.0017241841 0.0054986286 0.002537886 0.0016817496 0.0015216892 0.005147985 0.0016854719 0.0032682074 0.04915488 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00061314704 3.354604e-06 1.3418416e-05 2.460043e-05 2.273676e-05 8.945611e-06 5.1437262e-05 1.9382156e-05 2.2364027e-06 7.4546756e-07 7.4546756e-07 1.4909351e-06 0.0 0.0 7.4546756e-07 3.7273378e-07 0.0061337072 0.00021693106 0.00020500358 3.2055104e-05 8.349236e-05 0.00043796218 2.9818702e-05 3.950978e-05 3.8018847e-05 0.00017033934 3.2800574e-05 9.355618e-05 9.094704e-05 6.448294e-05 4.4355318e-05 0.0006839665 0.008459939 0.0002683683 0.00059190125 0.00022438573 0.00021357645 0.0008598968 0.0013228322 0.00071229425 5.0691793e-05 0.0002173038 0.00010622913 8.2374165e-05 5.702827e-05 9.355618e-05 0.00019233063 0.0010511093 0.0037429926 7.044669e-05 0.0006422203 0.00012076575 0.00045995347 0.00069552124 0.0027459296 0.001414152 0.00023109495 4.9946328e-05 2.3482227e-05 2.9445968e-05 2.161856e-05 2.75823e-05 2.0500358e-05 0.00039137047 0.0037359106 0.000117038406 0.0020459357 0.000494245 0.0016184101 0.0012624493 0.0060546873 0.003361686 4.249165e-05 5.9637405e-05 3.6155176e-05 2.5345897e-05 3.5036974e-05 3.8018847e-05 4.2118918e-05 0.000114802 0.008882246 0.00065004773 0.0024216513 0.0013996153 0.00379853 0.0026631828 0.0066484525 0.0039140773 0.0007935502 0.00022624941 0.00019568524 0.00026165912 0.0021704289 0.00017593034 0.0003078781 0.0006053197 0.011131322 0.0019162244 0.0013556328 0.0012389671 0.0020947638 0.002112655 0.001941943 0.0017522215 0.002728784 0.00038689765 0.00037608837 0.00034552423 0.0059931865 0.0003708701 0.0008077141 0.0013250685 0.013090783 0.0020179807 0.0011543565 0.0014178792 0.0032778208 0.004539897 0.0014189975 0.0023090858 0.007379011 0.00036378816 0.000459208 0.00058966485 0.009842408 0.0006411021 0.0017962041 0.0031369275 0.13771284 0.02667991 0.022527285 0.019479068 0.044400793 0.051029492 0.013451962 0.033821862 0.105754636 0.0057538915 0.005306611 0.011555865 0.06664778 0.011350489 0.028335968 0.06199308 0.03312187 0.008215798 0.008670161 0.006208254 0.012603248 0.013825068 0.0047244006 0.009483466 0.02693598 0.0018129771 0.0018919967 0.0035428347 0.015920205 0.0037470928 0.0084946025 0.016374568 0.00013642057 4.547352e-05 5.8891936e-05 6.448294e-05 3.540971e-05 3.950978e-05 8.27469e-05 6.932848e-05 4.0255247e-05 2.6464098e-05 3.429151e-05 2.3854962e-05 2.6464098e-05 2.5345897e-05 2.3482227e-05 3.0936902e-05 3816.0 18.270702 69721.0 0.06858765 0.0015490311 0.0028398903 0.0014342881 0.018774832 0.013252822 0.0012334877 0.005435952 0.0050343513 0.0036861205 0.0013338879 0.0016637741 0.004804865 0.0038438921 0.0077308128 0.0020080034 0.008749157 0.0041594356 0.0033132054 0.0027251474 0.0025530327 0.0016637741 0.0014629739 0.0015490311 0.002753833 0.005249494 0.003270177 0.0059236097 0.0026821187 0.0032558339 0.0011474305 0.011574705 0.033648398 0.013554023 0.004087721 0.0070997262 0.01194762 0.015920598 0.0063395533 0.0069276113 0.0042454926 0.0059666387 0.00083188707 0.00087491574 0.008534014 0.0040590353 0.0061244103 0.0048335507 0.008433614 0.0053498945 0.0084623 0.009351558 0.009624073 0.0057514952 0.005163437 0.004202464 0.0034422914 0.0021227463 0.0033849198 0.002266175 0.0017928601 0.0015203453 0.0025960614 0.01841626 0.00055937236 0.044276472 0.012392249 0.025128728 0.025544671 0.060354844 0.012865564 0.01025516 0.01214842 0.03797995 0.002882919 0.003270177 0.024598042 0.016408255 0.03450897 0.036316175 0.013224136 0.0038295493 0.037248462 0.04450596 0.061774787 0.017283171 0.0046470934 0.0060813813 0.005694124 0.005435952 0.0019076031 0.00055937236 0.0021370891 0.0009896588 0.0013912595 0.0016781171 5.7029715 1.0 21.0 0.0 4.0 1343244.0 1359872.0 1.0 0.0 427.0 0.0 1.0 1.0 1.0 0.0 1506493800.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1192960.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 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 129024.0 0.0 0.0 0.0 0.0 0.0 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 -1193472.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6259995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.731888 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.332357 0.0 4.235827 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 128532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15252.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1192702.0 0.0 1376.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 -2.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -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 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 -1.0 -2.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 2.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -2.0 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 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 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 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 -1.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 1.0 -2.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 1.0 0.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 2.0 -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 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 1311528.0 1376.0 1355776.0 0.0 0.0 8456.0 1334784.0 0.0 0.0 84.0 1275664.0 0.0 0.0 0.0 0.0 24.0 1275844.0 64.0 1275752.0 0.0 0.0 1780.0 1200128.0 0.0 0.0 0.0 0.0


Input: 0.43833768 0.0054703928 0.0038539874 0.0051515913 0.0038801187 0.001903849 0.0013812237 0.0011841194 0.0061669773 0.0011042324 0.0012012913 0.0010265852 0.0025078543 0.0008668112 0.00069957116 0.0027393026 0.002755728 0.00062715024 0.0007861776 0.0007742319 0.001365545 0.0015148665 0.0005562225 0.00053606415 0.0012065176 0.00059280626 0.0004942541 0.0006577611 0.0010855672 0.00050843967 0.0006577611 0.00064730865 0.0027378094 0.00046065677 0.00057712756 0.0005427836 0.0030103212 0.00091982033 0.0011706804 0.0012311556 0.0020875144 0.0016559752 0.001407355 0.0023749582 0.004566251 0.0011191645 0.00088099675 0.00072196935 0.0032171314 0.0018471067 0.001852333 0.0055905962 0.0020546636 0.0015051606 0.0018717448 0.0017694596 0.002630298 0.0016522423 0.0015768348 0.0022607273 0.0020038944 0.0017985773 0.0012460878 0.0012281692 0.0039017703 0.0017321293 0.0016514956 0.0020001612 0.003284326 0.016408937 0.003291792 0.0010982595 0.0013550925 0.0012505674 0.0006816526 0.00076079293 0.0016880793 0.002658669 0.00085113244 0.00080260297 0.007565373 0.001755274 0.0010683952 0.00239437 0.0016156584 0.007276436 0.0019165413 0.0013991423 0.0017463147 0.0030991675 0.001856066 0.0015835543 0.001306563 0.0020382383 0.0011721737 0.0009362457 0.001063169 0.0013244816 0.000705544 0.00096237694 0.004316884 0.0023831709 0.001285658 0.00081156223 0.004882066 0.0016567218 0.0042705946 0.00074138114 0.00205989 0.0009750693 0.0015805679 0.0015148665 0.0013013367 0.000621924 0.0016589616 0.0012811783 0.0041698026 0.004495323 0.0009900015 0.0008175351 0.001272219 0.00093101943 0.00058011396 0.0004711093 0.001268486 0.0012386217 0.0007719921 0.000583847 0.0022495282 0.0015962466 0.0005114261 0.004915663 0.0025631033 0.009258678 0.0005129193 0.0004808152 0.0012214497 0.005235211 0.00085038587 0.024372252 0.0012087574 0.016774775 0.0005465166 0.0004987338 0.0013700246 0.0004210866 0.0004957473 0.0004106341 0.0010221056 0.002331655 0.00047036266 0.00048753465 0.0013326942 0.0006756797 0.0004614034 0.00046961606 0.001137083 0.0005517429 0.0004210866 0.00047633552 0.0009952277 0.0018702516 0.00032776064 0.0006689602 0.0012199566 0.00043900515 0.00041660693 0.00042034 0.0009437118 0.00041884676 0.0004711093 0.00040764766 0.0011736669 0.00036882405 0.00044796444 0.00048753465 0.0013558391 0.0006353629 0.0005024668 0.0006831458 0.0010810875 0.0008966755 0.00043825855 0.0005069464 0.004294486 0.0016992785 0.0050918628 0.0005957927 0.0011512686 0.00074212777 0.00065178826 0.00058310037 0.006694082 0.00083022745 0.0009466982 0.0038203902 0.0018486 0.0004113807 0.0016806133 0.0013565856 0.0017806587 0.0013453866 0.00043825855 0.0007279422 0.0012348887 0.00035613173 0.0005465166 0.0007197295 0.0016619482 0.00057488773 0.001243848 0.00065029506 0.0013685314 0.0004330323 0.0006525349 0.00055696914 0.002695253 0.0005233718 0.00052113197 0.001365545 0.0015126267 0.00050619984 0.0005808606 0.00041660693 0.0021681478 0.0005480098 0.00046065677 0.00075332687 0.0019658173 0.0010527165 0.00045543053 0.00043900515 0.02515619 0.0017522876 0.0005636886 0.0023898904 0.003128285 0.00051963876 0.00047558892 0.00046812286 0.0030461582 0.00052934466 0.0006137113 0.0005644352 0.0027729 0.00044721784 0.00084142655 0.0020038944 0.004266115 0.00076303276 0.0023921302 0.005404691 0.00906904 0.005842203 0.006757544 0.068123445 0.34811428 0.0 0.0 2.9887146e-06 1.1207679e-06 3.7358933e-07 2.9887146e-06 3.7358932e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014095525 1.4943573e-05 1.083409e-05 3.7358932e-06 2.0547413e-05 8.9661435e-06 2.241536e-05 1.3449216e-05 2.9887146e-06 1.8679466e-06 2.9887146e-06 5.2302507e-06 7.4717864e-06 7.4717866e-07 2.2415359e-06 2.2415359e-06 0.0020536205 1.7932287e-05 3.8479702e-05 6.724608e-06 1.7932287e-05 1.083409e-05 3.5864574e-05 1.7932287e-05 2.166818e-05 3.7358933e-07 2.2415359e-06 7.845376e-06 1.5317162e-05 5.9774293e-06 1.8679466e-06 4.0721236e-05 0.003144875 2.5777663e-05 0.00011020885 3.1007916e-05 0.00014271113 6.6125314e-05 6.724608e-05 3.51174e-05 8.592555e-06 1.8679466e-05 1.3449216e-05 2.5404073e-05 3.810611e-05 8.592555e-06 7.0981973e-06 8.256324e-05 0.0018021949 5.60384e-05 2.727202e-05 2.0547413e-05 4.370995e-05 1.5690752e-05 4.2215594e-05 2.4656896e-05 2.3909717e-05 1.681152e-05 1.4943573e-05 2.764561e-05 3.175509e-05 1.4569984e-05 8.9661435e-06 0.00012440524 0.001666582 1.3449216e-05 2.4656896e-05 3.5490986e-05 8.0695296e-05 6.6125314e-05 0.0001572811 0.000102363476 7.35971e-05 3.7358932e-06 1.4943573e-06 4.4830717e-06 2.80192e-05 1.2702037e-05 5.2302507e-06 1.9426645e-05 0.0010976054 4.2962773e-05 5.491763e-05 2.6524842e-05 6.6125314e-05 3.9226878e-05 2.5030486e-05 4.6325076e-05 2.241536e-05 2.9887146e-06 8.9661435e-06 7.4717864e-06 8.592555e-06 1.7932287e-05 3.324945e-05 2.9887146e-05 0.0033036503 2.8766379e-05 0.00017297186 0.0003295058 0.000876067 0.00052638736 0.0023495033 0.0012518979 7.3223506e-05 1.5690752e-05 2.0173824e-05 3.287586e-05 6.4630956e-05 2.727202e-05 3.8479702e-05 7.02348e-05 0.0027832405 0.0001329978 0.00056897657 0.0014050695 0.0021444028 0.0013243741 0.0019505098 0.0013415592 0.00013523933 4.968738e-05 6.687249e-05 8.667272e-05 8.0321704e-05 4.8566613e-05 4.9313792e-05 7.397069e-05 0.0033014088 0.00011618628 0.00023835 0.0003676119 0.0008898898 0.0004755792 0.0006336075 0.0004158049 0.0006392113 0.00023311975 7.733299e-05 0.00012888832 0.00014794138 9.414451e-05 0.00024395384 0.0011783007 0.005737585 0.0010423142 0.0013004645 0.013396913 0.0013400649 0.0011428097 0.0019475211 0.0015522636 0.002233317 0.0011069452 0.0011588741 0.0012769283 0.0011304813 0.0011409417 0.0017132807 0.0056255083 0.01189471 0.0011749384 0.002561702 0.0021698067 0.0036522092 0.0025482527 0.0022717968 0.0015242444 0.008792798 0.0018604748 0.0010198989 0.002219868 0.0018671994 0.0011868933 0.0032887068 0.015470708 0.041164313 0.0047419695 0.008261554 0.006043181 0.014776579 0.012541767 0.0081352815 0.006603565 0.028830636 0.0045099705 0.0033043977 0.0074744015 0.008402771 0.005225394 0.016443534 0.04542286 0.049233843 0.007122107 0.0118476385 0.010030873 0.019096391 0.019714309 0.012654965 0.009268751 0.031675518 0.004452811 0.005157401 0.009359533 0.012659075 0.007251369 0.02017868 0.044971563 0.00042850696 0.00023984435 0.00026039177 0.00025927098 0.00029214684 0.00027384097 0.00024993127 0.0002622597 0.00031755093 0.00027047866 0.00023536128 0.00026562202 0.00027159945 0.00023984435 0.00031344144 0.00041057466 3901.0 14.586773 56903.0 0.016203012 0.0013004587 0.0023548845 0.0015640651 0.0025833435 0.0012301636 0.0020034092 0.0031105566 0.005623605 0.005113966 0.0018276717 0.0062562604 0.0030578352 0.0019682618 0.009858883 0.007011933 0.017345307 0.017046552 0.019471733 0.017099274 0.013689964 0.012565243 0.015218881 0.015640652 0.015851537 0.014410488 0.010333374 0.015605504 0.010614554 0.012301636 0.009841309 0.0073458343 0.003145704 0.0124598 0.0061332444 0.0104212435 0.0117568495 0.011264784 0.009155932 0.010104915 0.0061859656 0.011563538 0.0045164577 0.0061332444 0.008769309 0.008329965 0.008786883 0.00718767 0.011493243 0.02683514 0.0086287195 0.01731016 0.010579407 0.008751735 0.009278948 0.0122137675 0.008452982 0.008945047 0.007134949 0.005184261 0.004498884 0.004955802 0.004674622 0.0047449167 0.0024603272 0.020824913 0.007205244 0.014638947 0.017608913 0.044848252 0.009138358 0.010632128 0.013531799 0.02198478 0.0056411787 0.0089099 0.025727993 0.012125898 0.023091929 0.024814157 0.009419538 0.004639474 0.02542924 0.01838216 0.029840255 0.0126531115 0.009366817 0.0086287195 0.0071173753 0.010702424 0.0056939 0.0028118026 0.0015464914 0.0030929828 0.0015640651 0.0008786883 6.2569942 0.0 0.0 0.0 68.0 1339392.0 446464.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 4.0 0.0 369664.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369664.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.640512 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6617265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.346343 0.0 0.0 0.0 0.0 0.0 0.0 -3.8648136 6.7831097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3581.0 0.0 0.0 0.0 0.0 0.0 -28128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369508.0 0.0 0.0 0.0 0.0 0.0 0.0 -6980.0 6280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6980.0 409600.0 6280.0 438272.0 0.0 0.0 0.0 0.0 18372.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.2523881 0.021439789 0.019167377 0.008221987 0.019189155 0.0047704247 0.0029792038 0.003216924 0.011129073 0.0028386677 0.0023858286 0.0035403215 0.0063208435 0.0025052023 0.0013987876 0.008941721 0.00558611 0.0013527641 0.0010515562 0.0010735408 0.0051045064 0.0014439893 0.00091102003 0.0010324483 0.0037445512 0.0017437589 0.000788359 0.00071500894 0.005002597 0.0014491259 0.00068069674 0.0010624458 0.008239862 0.0007826061 0.000687477 0.0021174948 0.04969271 0.00068295683 0.00053810584 0.0007630871 0.0046011237 0.002957014 0.0026362874 0.0009434831 0.0039643957 0.0007589779 0.0076571703 0.0028409278 0.0035401161 0.0042713564 0.0014550843 0.001451386 0.0026081388 0.0009595091 0.0011004563 0.00066754717 0.0022828921 0.0040743183 0.0006322076 0.0019952448 0.00189313 0.0012839341 0.0004916714 0.000567487 0.004670981 0.0013406418 0.0010016289 0.0018559413 0.011064763 0.0025988931 0.0013036586 0.0009999853 0.0024542476 0.0012044202 0.00070720137 0.0011770937 0.005658022 0.00093115534 0.0008452721 0.0010160112 0.0029605068 0.0005981009 0.0013770086 0.0016687651 0.004410249 0.00076904555 0.0008117817 0.0010511454 0.0015323381 0.0008580107 0.00056707603 0.001058131 0.015229074 0.0027731252 0.00046146841 0.00095375616 0.003508475 0.00782832 0.0029237291 0.008166512 0.0065252786 0.01386501 0.00395063 0.0052555213 0.0057979417 0.008571478 0.001320301 0.0024020602 0.009849453 0.005774108 0.010420844 0.0070243464 0.00673259 0.0010248461 0.009714054 0.006373647 0.01994649 0.008220548 0.0015734306 0.0011347685 0.0018623107 0.0022894668 0.00049126043 0.00053050375 0.0026079335 0.000769251 0.0006552194 0.0012243501 0.004506611 0.0011682588 0.00058371853 0.008279105 0.005795682 0.0029179761 0.0012463345 0.0007168581 0.0017351295 0.03266276 0.00035647716 0.023550298 0.0015787727 0.0025754704 0.00040558266 0.00044482597 0.0017100631 0.00039633687 0.00040496627 0.00034353303 0.0012755102 0.00074336276 0.0004686596 0.00045489363 0.0016621903 0.0005290655 0.0003644902 0.00035483346 0.004017405 0.00033305446 0.00033305446 0.000419965 0.0030858389 0.00031476832 0.00033962924 0.00028929097 0.00079144095 0.0003038788 0.0003322326 0.00038503643 0.0019457283 0.000373736 0.000400857 0.00042633436 0.0013342724 0.00033079437 0.00035257338 0.00053440756 0.0015144629 0.00031456284 0.00039633687 0.0003262742 0.00090691075 0.00030839897 0.0016845857 0.00056111766 0.0012483891 0.00051221764 0.0004653722 0.0015563773 0.000878557 0.00071706355 0.00040352804 0.00040332257 0.003034884 0.0015013133 0.0006922026 0.0030015993 0.0025058186 0.0007811678 0.0012537312 0.0048885653 0.0013262595 0.0006067303 0.00055166637 0.00070617406 0.009489689 0.0005116012 0.0004156503 0.0003905839 0.0017474572 0.0005350239 0.00052064157 0.0008197947 0.0005991282 0.0005757055 0.0004920823 0.00047913817 0.0012724283 0.0004238688 0.00045653732 0.0021061944 0.00058392395 0.0009543726 0.000474618 0.0005116012 0.0025812234 0.00045201715 0.00051468314 0.0008273968 0.0007513758 0.00068295683 0.0005658433 0.0005183815 0.00911698 0.0035670316 0.0008144527 0.0030052976 0.0016574647 0.0011929143 0.0008276023 0.0006278929 0.001622947 0.0006116614 0.0008446557 0.0009297171 0.0008037687 0.0006638488 0.0004818092 0.0010628566 0.0023829523 0.0014719322 0.0011721626 0.0022800155 0.0012518821 0.0015039843 0.0018699127 0.016500475 0.0006298746 8.220223e-07 1.02752786e-07 2.0550557e-07 1.02752786e-07 1.02752786e-07 1.02752786e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004200842 7.387925e-05 3.0414825e-05 1.5310165e-05 2.209185e-05 4.315617e-06 1.0789043e-05 6.781684e-06 1.9112018e-05 8.939493e-06 5.754156e-06 6.1651673e-07 7.706459e-06 1.7467974e-06 3.1853365e-06 7.706459e-06 0.0046438095 0.00014077131 4.3258922e-05 2.7948758e-05 3.647724e-05 1.3152357e-05 2.4249657e-05 1.253584e-05 3.092859e-05 1.5721176e-05 6.678931e-06 5.0348867e-06 2.0550558e-05 6.678931e-06 8.939493e-06 1.3768874e-05 0.0055881077 0.00018824311 9.134723e-05 4.4697463e-05 9.6073854e-05 1.736522e-05 4.1512125e-05 2.3427636e-05 8.2407736e-05 3.6682744e-05 1.6748705e-05 9.042245e-06 3.2675387e-05 6.5761783e-06 1.1713818e-05 2.6510219e-05 0.004619971 0.0001290575 0.00011498037 7.9427904e-05 8.9394925e-05 2.1475333e-05 5.856909e-05 2.7332242e-05 0.00012237857 3.3702916e-05 3.2572632e-05 6.26792e-06 4.4080945e-05 2.805151e-05 2.76405e-05 3.647724e-05 0.008795228 0.00016707604 0.00014991632 0.00020941018 0.00020468356 0.00018896238 0.00021865794 0.0001286465 0.00013594194 0.00012957127 9.6587624e-05 8.826464e-05 0.00012607768 0.00014447042 0.0001255639 0.00024414062 0.03966494 0.00091141724 0.00093874946 0.0013640432 0.0009989626 0.00085665 0.0038454204 0.0016414758 0.0010162251 0.0008068149 0.0006242232 0.00045231776 0.00050441345 0.00037093757 0.0005955552 0.00054253475 0.033644654 0.00056555134 0.0035598704 0.0012509124 0.0014770713 0.0013715442 0.015926065 0.008159085 0.0007139264 0.000571511 0.0006262782 0.00029788032 0.0004233415 0.0002557517 0.00047564265 0.00054623384 0.036900274 0.0006915263 0.009330467 0.003002231 0.0029823997 0.0032591128 0.03205065 0.019228335 0.00057726516 0.0005959662 0.0006593646 0.00043474705 0.000442248 0.00040844234 0.00058096426 0.00080886995 0.030673044 0.001887877 0.003894639 0.0020215583 0.0019184973 0.0018165666 0.011565751 0.0065824464 0.00077660556 0.0005907258 0.0007924295 0.00054397323 0.0006572068 0.00060819375 0.00071783096 0.000819659 0.049688987 0.005454426 0.0066999956 0.00267671 0.003936973 0.0026638662 0.0120396465 0.008185185 0.0015654387 0.0012117636 0.0013682562 0.0011836094 0.0013930196 0.0012967401 0.0010360563 0.00124074 0.03457652 0.0034384166 0.0054316153 0.0020657422 0.0033585776 0.002696336 0.010651868 0.0071967025 0.0017263496 0.0012231692 0.0013884985 0.0010542437 0.0011878222 0.0011856644 0.0012213197 0.001142611 0.022354383 0.0023223157 0.0069720848 0.0016511346 0.0029056433 0.002977673 0.0023756444 0.0015881471 0.01039961 0.002195416 0.0013589056 0.0012404317 0.0027867584 0.0013439037 0.0026296494 0.0032905552 0.0836045 0.014234549 0.045727972 0.012248749 0.017837062 0.018176455 0.012123082 0.01028093 0.062356558 0.0055402247 0.0038528186 0.005761657 0.02022257 0.005527586 0.017140398 0.022898562 0.010524865 0.0023274533 0.0066613606 0.0023972224 0.002787375 0.0028299144 0.0020410814 0.001888288 0.008846193 0.0006803262 0.0005376026 0.00094285957 0.0036412505 0.0011977892 0.0029534234 0.0036150487 0.0003016822 0.00021506159 0.00021763041 0.00022359006 0.00018156417 0.0001860853 0.00018403024 0.00018968165 0.00017334396 0.00017365221 0.00017642653 0.00017827608 0.00017396048 0.00017221368 0.00018105042 0.0002283167 27709.0 25.216066 698712.0 0.024340501 9.5890726e-05 0.00033776433 8.0147474e-05 0.0013524885 0.00041791183 5.009217e-05 0.000117358795 0.013500555 0.013318792 0.014458031 0.00011592759 0.0052167415 0.0006282989 0.049329337 0.015041963 0.0034205795 0.0035679936 0.006924169 0.0025904807 0.0025704438 0.002374369 0.0028767218 0.00093028316 0.0023800936 0.00210244 0.001404012 0.001949301 0.00022756157 0.0003535076 0.00016172614 6.0110604e-05 7.585386e-05 0.0030384478 0.0022741845 0.0066050105 0.0026806467 0.0035365073 0.004548369 0.0009345768 0.0022684596 0.0033375698 0.00015027651 0.0012852219 0.0023958369 0.002347176 0.0017947309 0.0011335142 0.0037955553 0.00019178145 0.0060310974 0.006979986 0.004926207 0.0017489323 0.0018619975 0.0030198423 0.00016458856 6.154181e-05 0.00015027651 0.0031915868 0.00028480976 0.0031801371 1.5743253e-05 0.002654885 3.2917713e-05 0.04342848 0.008044803 0.038081497 0.022133583 0.088693194 0.017874317 0.016969796 0.019740608 0.04890284 0.0011077526 0.0057248194 0.032043245 0.019846518 0.062092822 0.042551152 0.031183092 0.0021010088 0.06279411 0.03689789 0.09372388 0.028425159 0.004058897 0.0033976804 0.004080365 0.013374609 0.00092885195 0.0010318987 0.0006297301 0.0010261738 4.436735e-05 7.2991446e-05 5.1198177 0.0 1.0 0.0 3.0 4867072.0 4972544.0 0.0 0.0 38.0 0.0 0.0 0.0 0.0 8681.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 4.0 0.0 4.0 0.0 4371456.0 1024.0 4096.0 4.0 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 -397312.0 -95744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4371456.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.368724 -5.7072825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9340887 -4.7257476 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -397239.0 -190272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4371185.0 -1076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1076.0 4571136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 4378624.0 0.0 0.0 0.0 0.0


Input: 0.030905668 0.0054711555 0.004631397 0.0051721507 0.0051944167 0.004462809 0.00478408 0.0041129095 0.0046663866 0.0041192714 0.0042115175 0.0042083366 0.00453597 0.004090643 0.0039029696 0.0039634067 0.004685472 0.004065196 0.003689849 0.0040747384 0.0040492914 0.0037566482 0.003985673 0.0038075426 0.0041097286 0.00369303 0.003390844 0.0038329898 0.004160623 0.0036675828 0.00365804 0.0035053566 0.0045741405 0.0038139045 0.0038775224 0.0037852763 0.0039729495 0.0036644018 0.0037057537 0.0040747384 0.0040079397 0.0034385577 0.0035785174 0.0039475025 0.0039061506 0.0039665876 0.003689849 0.0038775224 0.0051307986 0.0039379597 0.003759829 0.0038997887 0.003864799 0.003556251 0.003960226 0.0038997887 0.00425605 0.00446599 0.004001578 0.004596407 0.004351477 0.003893427 0.0038520752 0.003759829 0.0045868643 0.0043164873 0.003826628 0.003820266 0.0039538643 0.0036993918 0.0036866681 0.0036516783 0.0039093313 0.0038043617 0.0034544622 0.0036453165 0.0037184772 0.0037820954 0.003826628 0.0038011807 0.004252869 0.0037121153 0.0034767285 0.004097005 0.003696211 0.003960226 0.0040429295 0.0041478993 0.0037502863 0.0042051557 0.003759829 0.0036389546 0.0035371657 0.004125633 0.004062015 0.0038075426 0.0040365676 0.0041033668 0.0036675828 0.0039729495 0.0043005827 0.004558236 0.00372802 0.00372802 0.0041415375 0.004023844 0.0036166883 0.0033367686 0.004154261 0.0039379597 0.0039411406 0.0041192714 0.004173347 0.0034512812 0.004364201 0.0043769246 0.0046027685 0.0044818944 0.0039029696 0.0035403466 0.00372802 0.0036993918 0.003425834 0.0037343819 0.0037057537 0.003394025 0.0036198692 0.003292236 0.0044723516 0.003931598 0.0040333867 0.0042019747 0.0038457133 0.0039061506 0.003696211 0.0034735475 0.004027025 0.0036357737 0.003626231 0.004179708 0.0034512812 0.0038329898 0.0035371657 0.0035721557 0.0037089344 0.0034417387 0.003591241 0.0034830903 0.0034353768 0.0033717586 0.0034449194 0.0034131105 0.0034194721 0.0037566482 0.0031809043 0.003161819 0.003333588 0.0032254371 0.003422653 0.0033367686 0.0038393517 0.0031459145 0.0031395527 0.0030982008 0.0032063515 0.0031141054 0.0031172864 0.0031872662 0.003422653 0.003190447 0.0031141054 0.003228618 0.0035721557 0.0034099296 0.0033463114 0.0032031708 0.003759829 0.003524442 0.0035371657 0.0032508844 0.0033590351 0.0032540653 0.0038329898 0.0035212613 0.0038329898 0.0034131105 0.0033494923 0.0034544622 0.0037121153 0.0035180803 0.0033399495 0.0032858741 0.004087462 0.0038393517 0.003527623 0.0037089344 0.003327226 0.0032508844 0.0034512812 0.0035021757 0.003861618 0.003495814 0.003260427 0.0035053566 0.0033113214 0.003292236 0.0037184772 0.0032858741 0.0038552561 0.0036325927 0.0032349797 0.0033590351 0.0036230502 0.003126829 0.0033844823 0.0034131105 0.0037534672 0.0034799094 0.0033049597 0.0038043617 0.0037343819 0.0032763316 0.0031872662 0.0035212613 0.004087462 0.0037693717 0.003495814 0.003228618 0.0037025728 0.0032508844 0.003457643 0.003228618 0.0037216581 0.0032636079 0.0037630098 0.003925236 0.003626231 0.0034703666 0.0035117185 0.0032636079 0.004192432 0.0035816983 0.0031713617 0.003333588 0.003467186 0.00319999 0.003324045 0.0036294118 0.003661221 0.0032445225 0.003464005 0.0035148994 0.003788457 0.0033717586 0.0035308038 0.017959386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0031147876 0.0 1.5956904e-06 3.35095e-05 7.978452e-06 1.9148285e-05 2.0743975e-05 3.1913808e-06 1.5956904e-06 9.5741425e-06 0.0 1.5956904e-06 1.5956904e-06 1.5956904e-06 0.0 5.1062092e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006138621 0.00013563369 0.00047072864 0.00018829147 0.00050902524 0.00019786561 7.340176e-05 0.00021382251 0.000108506945 0.000100528494 6.542331e-05 0.000100528494 0.000103719874 0.000103719874 0.00025850185 0.001035603 0.0036525351 0.0001164854 0.0002664803 0.0014440998 0.000314351 0.0010292203 0.00032871222 9.8932804e-05 0.00040690103 8.616728e-05 3.510519e-05 5.2657782e-05 8.138021e-05 6.7019e-05 9.095435e-05 0.0017329197 0.0045014424 0.00019148285 0.001005285 0.0022738588 0.0010068807 0.0014249515 0.001551011 0.0008169935 0.00041807088 0.00018510009 0.000100528494 9.255004e-05 0.000106911255 0.000105315565 0.000113294016 0.0024461932 0.00077071844 0.00030477686 0.00031913808 0.0002154182 0.00040051827 0.00012605955 0.00012925093 0.00017552594 0.00018988716 0.000100528494 5.5849163e-05 4.787071e-05 9.574142e-05 0.00013084662 0.00038456137 0.0030892566 0.003994013 0.00063668046 0.0012797436 0.002679164 0.0015334585 0.0018924888 0.0017648336 0.0009590099 0.0006717856 0.0005313649 0.00023456648 0.00039094413 0.00033828637 0.00037020017 0.00057125714 0.00502802 0.0040993285 0.00074040034 0.0007244434 0.0012302772 0.000829759 0.00095262716 0.0011265574 0.00073880464 0.0006191279 0.00048828125 0.00034466913 0.00046434588 0.00042126226 0.0005010468 0.0005042382 0.0025547002 0.0021637562 0.0005473218 0.0007244434 0.0008712469 0.0004292407 0.00052179076 0.0012861264 0.0008903952 0.00038137 0.00022977941 0.0002824372 0.00028722428 0.00029041566 0.0002840329 0.00028722428 0.00032711652 0.068855636 0.05955276 0.057151247 0.056334253 0.05651297 0.056158725 0.0571321 0.057696972 0.05868949 0.053090215 0.05129187 0.054559845 0.055060893 0.054208793 0.05464282 0.05429017 1547.0 7.455721 11534.0 0.017426739 0.00901682 0.013438529 0.0078030173 0.008149818 0.0071094157 0.0061557135 0.009623721 0.009710422 0.007282816 0.0060690134 0.006762615 0.0060690134 0.0117912255 0.015345934 0.012918329 0.02245535 0.014652332 0.012051326 0.009797121 0.010404023 0.0078030173 0.0071094157 0.007976417 0.00893012 0.010057222 0.009970522 0.0078030173 0.010230622 0.00893012 0.010230622 0.0073695164 0.0076296167 0.012051326 0.0070227156 0.01335183 0.010924224 0.0075429166 0.00927692 0.0075429166 0.0074562165 0.009970522 0.0065892143 0.0071094157 0.008583318 0.0078030173 0.008843419 0.008149818 0.0105774235 0.008670019 0.007282816 0.0117912255 0.009797121 0.0052020117 0.0061557135 0.007716317 0.0065025142 0.006329114 0.006849315 0.0058956128 0.005548812 0.006329114 0.0073695164 0.0074562165 0.008063118 0.017686838 0.008063118 0.020461245 0.014652332 0.026790358 0.00919022 0.012918329 0.011617825 0.025056355 0.007976417 0.007196116 0.0130050285 0.016039535 0.017340038 0.021501647 0.016126236 0.0075429166 0.020721346 0.019767644 0.025576556 0.0130050285 0.008670019 0.010317323 0.00901682 0.010404023 0.008496619 0.007282816 0.007716317 0.006762615 0.0065025142 0.0047685103 6.4568224 0.0 17.0 0.0 6.0 314376.0 274432.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 1524758000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 57344.0 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 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8901906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.4003415 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 147456.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 270452.0 61556.0 208896.0 0.0 0.0 9440.0 304936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 128.0 118928.0 0.0 0.0


Input: 0.17117561 0.0296521 0.014209015 0.006341203 0.01357723 0.004665867 0.008612679 0.0061383927 0.009272735 0.009242006 0.0108190095 0.0052116113 0.00508255 0.004668325 0.0023304753 0.0025689309 0.03125123 0.0037845639 0.0045601595 0.0031159043 0.0033961514 0.0045490973 0.0017429397 0.0013225692 0.0033101104 0.0022874547 0.0020354784 0.0025332854 0.003008968 0.0015745457 0.0014737551 0.0017589187 0.008225496 0.0022370594 0.0019666457 0.0022936005 0.0044040573 0.0015905247 0.0014233598 0.0014233598 0.0051857987 0.0018425012 0.0026525133 0.003120821 0.004050061 0.0020920194 0.003626003 0.0015020256 0.006292037 0.0038300424 0.0034059845 0.0045454097 0.003923458 0.0034404008 0.0033629641 0.0030224887 0.004626534 0.00360142 0.002978239 0.0038435631 0.0037194188 0.0033088813 0.0027102835 0.003065509 0.0047125746 0.002786491 0.003130654 0.0031994868 0.0032929024 0.004461827 0.0024583072 0.0012820072 0.0023894745 0.0026906172 0.0016532115 0.0013274859 0.002136269 0.002873761 0.0018388138 0.0012414451 0.0061211847 0.0012832363 0.0019223961 0.003626003 0.0026770965 0.0030778006 0.0035743786 0.0024878068 0.0023624331 0.0013827977 0.0010484679 0.001665503 0.0017343357 0.0026906172 0.004589659 0.004707658 0.0032068617 0.008150517 0.002056374 0.0036407528 0.0054304004 0.013851332 0.0018953548 0.0035657745 0.0037415435 0.007237256 0.001608962 0.001601587 0.00636087 0.0043106414 0.0067431363 0.010667823 0.0065612216 0.001954354 0.009085903 0.007876416 0.010589158 0.0046449713 0.001777356 0.002712742 0.0033408394 0.002946281 0.0012746323 0.0018191473 0.0020305617 0.002240747 0.0015327545 0.0008259912 0.0069262804 0.0027557623 0.001608962 0.0031195916 0.0022272263 0.0023501415 0.0014036933 0.000936615 0.0019420626 0.00406604 0.0008136997 0.020238014 0.0014934216 0.003999666 0.0009058862 0.0010079059 0.008243933 0.0016151078 0.0026672632 0.0015069422 0.002329246 0.0015659416 0.0015548792 0.0011652376 0.0016507532 0.001401235 0.00079403317 0.0010853426 0.0015696291 0.0008075539 0.00072397146 0.00065759715 0.0023820996 0.0013262567 0.001424589 0.001232841 0.0018928965 0.0012414451 0.0011652376 0.0009280109 0.0017957933 0.00101651 0.0008763865 0.001160321 0.0016691905 0.0007842 0.00067849277 0.00076576264 0.002345225 0.0008370536 0.00084811595 0.0010779677 0.001561025 0.0007669918 0.0009734896 0.00074732536 0.0024374116 0.0023280168 0.0014946507 0.0007608461 0.0014270473 0.0007301172 0.00091571937 0.0007018467 0.0045036185 0.001513088 0.0019432917 0.0030151138 0.0017392522 0.0009968436 0.001073051 0.0016777946 0.003065509 0.0017417106 0.0012844654 0.0019174796 0.009653772 0.0014319639 0.0025259105 0.0021510187 0.0039246874 0.0014590053 0.001752773 0.0013041319 0.0020797278 0.00078788743 0.0012820072 0.0011836749 0.0024681403 0.00089236547 0.0009661147 0.000936615 0.00203302 0.00071659655 0.00087024074 0.00072642975 0.00258491 0.00078542915 0.0007731376 0.0008050956 0.00164092 0.0007510128 0.0007374921 0.0012611116 0.014699447 0.0012254661 0.0006993884 0.0019875413 0.0037022105 0.00097594794 0.0007301172 0.0007313464 0.0031232792 0.0019002714 0.00087761565 0.0011959664 0.0022235387 0.000704305 0.0013852561 0.0010017601 0.0030274051 0.0047334703 0.0047248662 0.001864626 0.0015020256 0.0020772696 0.0023526 0.029877035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001150201 2.4013832e-05 8.62035e-06 4.9259143e-06 8.00461e-06 6.773132e-06 1.1699046e-05 1.1699046e-05 6.157393e-06 2.4629571e-06 4.9259143e-06 3.0786964e-06 2.4629571e-06 3.0786964e-06 3.0786964e-06 9.8518285e-06 0.002222203 2.9555486e-05 2.5861049e-05 1.72407e-05 1.72407e-05 2.7708267e-05 4.0023053e-05 2.524531e-05 2.4013832e-05 9.236089e-06 1.1083307e-05 3.386566e-05 9.236089e-06 1.600922e-05 7.3888714e-06 6.157393e-06 0.0053286077 0.00020504119 3.9407314e-05 2.8939747e-05 5.7263755e-05 5.4185057e-05 7.1425755e-05 9.482385e-05 9.728681e-05 7.573593e-05 3.2634183e-05 1.4162003e-05 2.3398092e-05 3.8175836e-05 2.8324006e-05 0.00011575899 0.0061327633 0.0003435825 0.00015578204 3.8175836e-05 9.112941e-05 7.3272975e-05 0.00010159698 0.00016317092 8.066185e-05 7.696741e-05 3.7560098e-05 2.8939747e-05 6.2805404e-05 5.5416534e-05 7.20415e-05 5.233784e-05 0.015073298 0.0012265526 0.0011969971 0.001901403 0.0005166053 0.00040392496 0.00024691146 0.00022967075 0.00036944356 0.00018780048 0.00020935136 0.00014038855 0.00022967075 0.00016317092 0.00015455057 0.00044887394 0.022387665 0.0017979587 0.0009654792 0.0005941884 0.004147004 0.003717218 0.0224517 0.011938569 0.00048150812 0.0002838558 0.00042424435 0.00022289762 0.0001754857 0.00014100429 0.00018164309 0.00070748443 0.03754963 0.003639635 0.0034924732 0.0015362696 0.0020183933 0.002104597 0.007908556 0.005368631 0.0010658447 0.0005751005 0.0006545308 0.00052892003 0.00039715183 0.00074319734 0.0004451795 0.0013287654 0.027286487 0.0022573003 0.0040848143 0.0012474877 0.0017727134 0.001216085 0.0037467736 0.0035638988 0.0010067337 0.00081893324 0.00058864674 0.00055662834 0.0010504512 0.0005800264 0.0011083307 0.000817086 0.036368642 0.0067010904 0.004166092 0.0032541822 0.0031944553 0.003374867 0.010780979 0.0066604516 0.0030023446 0.0016600331 0.0012573396 0.0010375207 0.0021520087 0.0014125059 0.0021754068 0.002335499 0.052669723 0.019757226 0.008737956 0.029769763 0.00608843 0.0054831584 0.0140702585 0.009601222 0.0070138862 0.00408112 0.0038249723 0.0036895098 0.008252754 0.005215312 0.0047510443 0.0074098064 0.039571717 0.012666988 0.0076019173 0.0056124637 0.0046722298 0.005292279 0.011458293 0.0070816176 0.0055225655 0.0039333426 0.0023964574 0.0026045772 0.0048212386 0.003419816 0.0055231815 0.01275196 0.018522054 0.007135187 0.0031999971 0.0030885483 0.0037984955 0.0062657627 0.0035485055 0.0037369216 0.010137532 0.0033336126 0.0016563387 0.002250527 0.0054923943 0.0023348834 0.004879118 0.01015354 0.03317357 0.012282152 0.0090957 0.008132068 0.010982326 0.013364621 0.0058205836 0.009198529 0.023442427 0.0100593325 0.0053242976 0.0053680153 0.014177397 0.006194953 0.011647324 0.02224112 0.0057941065 0.0037350745 0.004925914 0.004054643 0.0041562403 0.003620547 0.0039308798 0.0036174683 0.0036143896 0.004260916 0.0039191805 0.0034826214 0.003421663 0.0030805436 0.0031519693 0.0042855456 5758.0 19.483501 112186.0 0.019717256 0.0010072559 0.0023175797 0.0023264936 0.0057850354 0.002076908 0.00073092896 0.0006239638 0.0031554739 0.0016401333 0.0005704812 0.003271353 0.009938852 0.0020501667 0.014565097 0.0042786086 0.016338937 0.011275916 0.009528819 0.009582301 0.011766174 0.0093059745 0.010134954 0.0073806 0.009582301 0.007835202 0.0076390994 0.0061594136 0.010277575 0.011008504 0.0068636015 0.0051343306 0.0026295616 0.0034852833 0.0062128967 0.011882053 0.010758918 0.004501453 0.006319862 0.0015777369 0.0044747116 0.008993993 0.0004189471 0.0019966841 0.0055978466 0.0072112386 0.004002282 0.0023978036 0.018059295 0.00041003333 0.0037170413 0.0094753355 0.0093059745 0.0022908384 0.004537108 0.002353235 0.0029237159 0.0013281514 0.0006328775 0.0011587898 0.0027989233 0.0012122724 0.0012835826 0.015153406 0.0029326298 0.045264114 0.007835202 0.017212486 0.025921239 0.08017043 0.0068992567 0.017364021 0.0109639345 0.039131444 0.00048134348 0.0056424155 0.03216979 0.021393044 0.03718824 0.05275168 0.01852281 0.0015064268 0.04716275 0.040325888 0.051690944 0.014181805 0.005241296 0.012051415 0.008361114 0.00962687 0.0008111529 0.00034763696 0.0028880609 0.00038329203 0.00038329203 0.0002228442 5.7137275 0.0 65.0 0.0 3.0 813568.0 823296.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1443202700.0 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 -40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -107520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -635392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3188057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5074034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.186403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.876379 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -107312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -635368.0 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 1152.0 143360.0 0.0 0.0 0.0 0.0 40728.0 782336.0 56.0 778104.0 0.0 0.0 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 144512.0


Input: 0.79581386 0.0016708246 0.0013904237 0.0010114934 0.0015105956 0.0010477537 0.0008413924 0.00074628013 0.0014899024 0.00084367057 0.00086303474 0.00072179013 0.00096308294 0.0007364082 0.0007160948 0.00082506577 0.0014023839 0.0008336088 0.0008374057 0.00070489396 0.0009182796 0.00079829764 0.00068628916 0.0006481303 0.0008954982 0.000691415 0.00070147676 0.0006348412 0.0007227394 0.0006471811 0.0006477506 0.00064680143 0.0014147239 0.000818611 0.0008241165 0.00069597125 0.0013765651 0.0007050838 0.0006697727 0.0006437639 0.0008717676 0.0006973002 0.000669393 0.00088012073 0.0007029955 0.00065838196 0.00070280564 0.000818611 0.0010659789 0.00095340086 0.0009150522 0.00095321104 0.0008795512 0.0008404432 0.00085411203 0.0008028539 0.00092872104 0.000920178 0.0006657859 0.0007384965 0.0006855298 0.0006661656 0.00063389196 0.0006631281 0.0015011033 0.0011643185 0.0010543984 0.0009213171 0.001184632 0.0011231222 0.000958147 0.00089796615 0.0017338531 0.00095757743 0.0009051803 0.000861516 0.0010308576 0.00092283584 0.00088012073 0.00084784714 0.0011823538 0.0009357453 0.0009387828 0.00095359073 0.0009704869 0.00092891086 0.0009486548 0.00092910073 0.0009302398 0.00091657095 0.0008599972 0.0006731899 0.00070223614 0.0007029955 0.0006973002 0.000774567 0.00084442995 0.00094656646 0.0008823989 0.00091979833 0.00096612045 0.0010173786 0.00094428833 0.0008337986 0.00096650014 0.0009247343 0.00092853117 0.000806461 0.0009241648 0.00087537465 0.00089435914 0.000895688 0.0009422 0.0008222181 0.0009773213 0.00091638113 0.0012182344 0.001045096 0.00084120256 0.00083854474 0.0008687301 0.000837026 0.0008030437 0.0006217419 0.00068040396 0.0006667351 0.00062800676 0.00061205984 0.0012941724 0.0008558206 0.00078481867 0.0010714844 0.0011185659 0.00093213824 0.00068344147 0.00065192726 0.00091220456 0.0011954531 0.000744002 0.0015563482 0.0007092604 0.0008525933 0.00066084997 0.00063465134 0.00090366154 0.0006819227 0.0006860993 0.00062477944 0.0006936931 0.0006352209 0.0006513577 0.00063977716 0.0006788852 0.00063920766 0.0006530663 0.00063047477 0.0006724305 0.00063066464 0.00064091623 0.0006042762 0.0008334189 0.00069862907 0.0006589515 0.0006758477 0.00070793147 0.00068078365 0.00065629365 0.0006038965 0.00068685866 0.0006276271 0.00061566685 0.0006445233 0.0006295256 0.0006103512 0.00064357405 0.0006225013 0.0006936931 0.00065857184 0.0006200333 0.00063332246 0.00066521636 0.00061243953 0.0006589515 0.00061889424 0.00070774165 0.0006781258 0.0006530663 0.00061946374 0.0006414858 0.00065553427 0.0006445233 0.00065249676 0.0010640804 0.00079526013 0.00072672614 0.00081310555 0.0007593794 0.00062819663 0.00089701696 0.0008216485 0.00075520284 0.0007164745 0.000666925 0.0006323732 0.0007624169 0.000631424 0.0006357904 0.0006318037 0.00073963555 0.00067736645 0.00068989623 0.0006266779 0.00065572414 0.0006369295 0.0006481303 0.00063749903 0.0006874282 0.0006403467 0.00063465134 0.00065629365 0.0006297154 0.0006268677 0.00064642174 0.00064357405 0.0007291941 0.00064262486 0.00064566237 0.00066806405 0.000666925 0.00063749903 0.00062534894 0.0006507882 0.0009281515 0.00069255405 0.0006661656 0.0007542536 0.0007314722 0.00060959184 0.00064604206 0.000622881 0.00073014334 0.00064319436 0.0006447131 0.0006942626 0.00065876165 0.00062572863 0.00066198903 0.000650978 0.0007563419 0.00064300455 0.00064642174 0.0006318037 0.00071153854 0.00063465134 0.000681543 0.0015143924 0.78124547 0.0 1.1392913e-06 3.7976375e-07 1.8988188e-06 2.2785825e-06 2.2785825e-06 2.6583464e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001859893 0.0 4.747047e-07 3.7976375e-07 3.7976375e-07 9.494094e-08 4.4622243e-06 2.6583464e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017858391 1.9937597e-06 2.5634054e-06 9.494094e-07 1.8038778e-06 1.0443504e-06 7.595275e-07 4.747047e-07 2.8482282e-06 4.747047e-07 6.645866e-07 3.7976375e-07 9.494094e-07 6.645866e-07 2.8482282e-07 0.0 0.0022143074 2.4684645e-05 3.8071317e-05 1.5665255e-05 2.2595943e-05 2.9526633e-05 8.706084e-05 3.8640963e-05 8.924449e-06 5.03187e-06 9.778917e-06 7.3104525e-06 1.006374e-05 3.3229328e-06 5.03187e-06 7.690216e-06 0.0011578047 1.5950078e-05 1.7848897e-05 1.0823267e-05 1.7279252e-05 3.2090036e-05 3.3893913e-05 2.0981948e-05 8.06998e-06 4.0824602e-06 5.6015156e-06 4.841988e-06 5.8863384e-06 1.5285492e-05 4.367283e-06 6.266102e-06 0.00031112146 2.0887007e-06 3.9875194e-06 2.0887007e-06 2.0887007e-06 1.7089369e-06 1.4241141e-06 4.0824602e-06 1.5285492e-05 9.589035e-06 1.8513483e-05 2.0887007e-06 3.03811e-06 3.9875194e-06 2.5634054e-06 5.2217515e-06 0.0009914682 3.522309e-05 4.2533542e-05 2.6678405e-05 1.6804546e-05 3.142545e-05 5.2312458e-05 4.566659e-05 4.0824605e-05 1.110809e-05 8.06998e-06 1.613996e-06 1.4336082e-05 4.747047e-06 1.0918208e-05 2.734299e-05 0.0012202759 2.1931357e-05 4.5096946e-05 2.933675e-05 4.2913303e-05 3.4938264e-05 9.636505e-05 6.474972e-05 3.7311787e-05 1.4620905e-05 1.7469132e-05 2.1741474e-05 2.231112e-05 2.6393582e-05 1.6994429e-05 3.750167e-05 0.00033039445 6.455984e-06 1.6804546e-05 9.399153e-06 2.1551594e-05 1.5855137e-05 9.190283e-05 4.7660353e-05 7.975039e-06 4.841988e-06 5.03187e-06 5.1268107e-06 5.03187e-06 5.03187e-06 4.747047e-06 5.5065743e-06 0.00086187385 4.4907065e-05 0.00023232048 0.00093554804 0.0014544952 0.0010599206 0.0015169664 0.0010734972 4.2723423e-05 2.031736e-05 1.9273011e-05 2.6583462e-05 2.1646534e-05 1.9652774e-05 3.8546023e-05 2.0412303e-05 0.0014619005 6.6838424e-05 0.00036077556 0.00093383907 0.0015130738 0.0011168852 0.00151108 0.0010895422 0.00023431424 4.348295e-05 5.981279e-05 5.2787163e-05 0.00015389927 5.0983283e-05 4.03499e-05 6.0192557e-05 0.00072392466 4.547671e-05 0.00016054513 0.00014117718 0.00028282905 0.00017564074 0.00019823668 0.00015342455 0.00016690617 1.8798306e-05 1.310185e-05 1.6424783e-05 0.00012798038 2.0981948e-05 4.3767774e-05 4.4052595e-05 0.005750383 0.0016091539 0.0016208317 0.0006097107 0.0017632431 0.0006711375 0.0006278444 0.00029488656 0.0018012195 0.0005331883 0.0005174281 0.00021000936 0.00063477515 0.00023716247 0.00022643415 0.00019766703 0.003626554 0.00063971203 0.00068556855 0.0005710698 0.0015932989 0.0008587408 0.0004144172 0.0005952797 0.0018606525 0.00022671896 0.00023982082 0.000307039 0.0009345037 0.00029688032 0.00053651124 0.0010017218 0.0012032815 0.00026640427 0.00030086783 0.00022396568 0.000594805 0.0003550791 0.00018048272 0.00027219567 0.00077044574 0.00010937196 0.000102346334 0.00010718832 0.00043359527 0.0001514308 0.00026602452 0.00049568666 0.009711984 0.0096351765 0.00962084 0.009656538 0.009617138 0.009659006 0.009750244 0.00961334 0.009662899 0.009666601 0.009581439 0.009652075 0.00957185 0.0096422965 0.009722237 0.009620935 4942.0 19.663496 97177.0 0.00636982 0.0030459883 0.0028710498 0.0024285582 0.0035502228 0.0026961113 0.0023873963 0.0026240777 0.0029225023 0.0025417537 0.0024903012 0.012369182 0.0026343681 0.0027990162 0.0041162004 0.012626445 0.01335707 0.013202713 0.013274746 0.012966031 0.012225115 0.012420635 0.012770511 0.0120810475 0.013346779 0.014118567 0.0028093068 0.0025932062 0.00246972 0.0024903012 0.0023153627 0.0028813402 0.004538111 0.016938165 0.013326199 0.014612511 0.014952098 0.014756578 0.014005371 0.01314097 0.014808031 0.013490846 0.01315126 0.012821964 0.014550768 0.013171841 0.013686366 0.01376869 0.0140156625 0.013295327 0.014838902 0.01519907 0.014561059 0.013593752 0.013892177 0.01417002 0.013655495 0.012760221 0.0129866125 0.0028093068 0.0028401783 0.0029122117 0.0030254072 0.007337127 0.0029327928 0.015888533 0.01295574 0.015281394 0.01540488 0.020200253 0.013120389 0.0139539195 0.013614332 0.016701482 0.013130679 0.012379472 0.016310444 0.0144684445 0.015981147 0.016269282 0.0139539195 0.012204534 0.017586466 0.015795918 0.018245058 0.013830433 0.013408523 0.013346779 0.012821964 0.01439641 0.012461796 0.0023976867 0.0021918768 0.0021507146 0.0028298877 0.0023771056 6.3483195 6.0 1.0 0.0 46.0 5267459.0 5267456.0 0.0 1.0 13.0 1.0 1.0 0.0 0.0 0.0 1494505300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 4096.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 5246976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2366767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.72655296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8698554 0.0 2.3610995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -652.0 0.0 5242976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8592.0 60.0 8252.0 5242976.0 16384.0 0.0 0.0 0.0 0.0 92.0 5263360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 8192.0 0.0 0.0 0.0 0.0