Input: 0.13831535 0.007249297 0.004128431 0.005709532 0.01271598 0.0030640294 0.0015604332 0.0028780175 0.014767278 0.00218564 0.0020926339 0.006210731 0.0069702794 0.0013434193 0.0015552662 0.012504133 0.011367395 0.0012090774 0.0012814153 0.0010075645 0.0051566632 0.0014570933 0.0010695684 0.00084222056 0.0083292 0.0010282325 0.0011057374 0.001896288 0.0032087055 0.0010385665 0.0007492146 0.0008628886 0.0044436175 0.00065620866 0.0006923776 0.0006407077 0.017981151 0.0015242642 0.0005890377 0.0013589204 0.002009962 0.0012969163 0.00071304565 0.0016741072 0.0014157572 0.0007647156 0.0007957176 0.0005838707 0.0034153853 0.0015759342 0.0010178984 0.013082838 0.0027333417 0.0005528687 0.0006923776 0.0005993717 0.0014570933 0.0013124173 0.0010075645 0.0038235781 0.0015500992 0.0010385665 0.00065620866 0.00066137564 0.009925802 0.00203063 0.01557333 0.0074043074 0.0072131283 0.015444155 0.001808449 0.0011264054 0.002087467 0.0012142444 0.0010644015 0.00084222056 0.0047743055 0.0024439897 0.00085772155 0.0007595486 0.0071976273 0.0013847552 0.0017774471 0.004355779 0.0047278027 0.010142816 0.0034463871 0.0022579778 0.0017102761 0.0048466437 0.0026351686 0.0033275464 0.0017671131 0.0031828703 0.0028573496 0.001968626 0.0007182126 0.00192729 0.0012297453 0.0008473876 0.005663029 0.0030950315 0.0024594907 0.00072854664 0.004242105 0.0014157572 0.0030330275 0.00068721065 0.001984127 0.0009455605 0.0014725942 0.0015604332 0.0015190972 0.00044436177 0.0029451884 0.0020409639 0.0077556632 0.005957548 0.0012194114 0.0011160715 0.0016017691 0.0010592345 0.0007543816 0.00090939156 0.001916956 0.0024388228 0.0012452464 0.001808449 0.003880415 0.002056465 0.00071304565 0.008706391 0.0026093337 0.010266824 0.00045469578 0.00054253475 0.0016482722 0.015175471 0.0007492146 0.060924064 0.0011935764 0.015061798 0.00068721065 0.0006665427 0.0031828703 0.0005218667 0.00066137564 0.0005993717 0.0010540675 0.001932457 0.00054253475 0.00047536375 0.0008112186 0.0008215526 0.0004236938 0.00054253475 0.00087322254 0.00047536375 0.00046502976 0.00045469578 0.0012090774 0.0027798447 0.0006045387 0.0011005704 0.0009455605 0.00074404763 0.00053220073 0.00052703376 0.0008112186 0.00042886077 0.0005993717 0.00045469578 0.0069186096 0.00046502976 0.00048053075 0.00057353673 0.0012865823 0.00045469578 0.00082671957 0.0006665427 0.0010695684 0.00071304565 0.007941675 0.0015656002 0.0031105324 0.0017722801 0.0024543237 0.0007388806 0.0011212385 0.0006665427 0.00067687663 0.00067687663 0.011315724 0.019092055 0.0021959739 0.008050182 0.0028418486 0.0009868965 0.0067687663 0.0027075065 0.001860119 0.0045727924 0.0009042245 0.0009765625 0.0010230655 0.0005787037 0.0011367394 0.0007182126 0.0053220075 0.0010644015 0.002123636 0.0029451884 0.0012865823 0.00054253475 0.0012142444 0.0012142444 0.007486979 0.0015242642 0.0013020834 0.0023406497 0.0013899223 0.0006665427 0.0008783896 0.0013072503 0.005384011 0.0010695684 0.00088355655 0.002299314 0.001896288 0.0015397652 0.0009042245 0.0006097057 0.02975157 0.00853588 0.0012142444 0.005544188 0.0047381367 0.0007492146 0.0026196677 0.0007905506 0.008256862 0.0009972305 0.0012400794 0.0009817295 0.0032397073 0.0005528687 0.0016741072 0.0016017691 0.006055721 0.00213397 0.001922123 0.0021959739 0.0071097882 0.006546586 0.00801918 0.06043837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046568527 5.7139296e-05 4.415309e-05 6.752826e-05 0.00014284824 1.2986204e-05 8.31117e-05 4.6750334e-05 4.155585e-05 1.8180684e-05 1.2986204e-05 1.0388962e-05 4.415309e-05 3.376413e-05 2.8569648e-05 1.8180684e-05 0.0037166514 0.0013505651 2.5972407e-05 3.116689e-05 3.636137e-05 1.5583444e-05 2.5972407e-05 2.0777925e-05 2.0777925e-05 2.5972406e-06 7.791722e-06 0.0 1.2986204e-05 7.791722e-06 1.8180684e-05 2.5972407e-05 0.0036984708 2.5972406e-06 1.8180684e-05 3.116689e-05 0.00023894614 0.00011947307 0.000841506 0.00035582198 0.0 7.791722e-06 2.5972406e-06 0.0 0.0 2.5972406e-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 0.0033192737 0.0013401762 5.1944815e-05 5.7139296e-05 5.1944815e-05 5.1944815e-05 4.9347575e-05 5.4542055e-05 4.415309e-05 4.155585e-05 4.155585e-05 4.415309e-05 4.155585e-05 4.415309e-05 4.155585e-05 4.415309e-05 0.013180996 0.00025972407 0.00025712684 0.00032984957 0.002220641 0.0007090467 0.0045166016 0.0029608544 0.00050126744 0.00020777926 0.00017141788 0.00019219582 0.000280502 0.00022595994 0.00026491855 0.00031686336 0.006181433 0.00020777926 0.00014804272 0.0001792096 0.0012025224 0.0001272648 0.00019219582 0.0005636012 0.000496073 0.00017141788 0.00017401512 0.00014284824 0.00014284824 0.00042594748 0.00015063996 0.00013245927 0.015583444 0.0006389212 0.000766186 0.0013116065 0.0032517454 0.0010051321 0.0022180437 0.0021193484 0.0009869515 0.0005636012 0.00039997508 0.00038958612 0.00058437913 0.00082851975 0.0004467254 0.0008207281 0.0027478808 8.830618e-05 8.570894e-05 0.00010129239 0.0003324468 0.00018959858 0.00017661236 9.090342e-05 0.0002753075 7.531998e-05 9.350067e-05 0.00018700134 0.00024414062 4.155585e-05 0.0002233627 0.00036621094 0.005524331 0.00020258478 0.00038179438 0.00058437913 0.0017869016 0.0008596867 0.0009453956 0.0006830743 0.00076358876 0.00022855718 0.00015843168 0.0007583943 0.00041555852 0.0003506275 0.00064671296 0.0016674285 0.09313965 0.024450423 0.022455743 0.018178087 0.038236577 0.025899684 0.009357858 0.012074572 0.07314609 0.005934695 0.01043831 0.013082301 0.04032476 0.016778175 0.040231258 0.056271818 0.06472064 0.012056392 0.01209535 0.013297873 0.026081491 0.027733335 0.01271609 0.014653632 0.048238553 0.005636012 0.00683334 0.0099214595 0.022738842 0.012778425 0.02556464 0.051955204 0.0031374667 0.001132397 0.00095318735 0.001186939 0.0013323844 0.0011531749 0.00096877076 0.0012129114 0.00147783 0.0010051321 0.0009246177 0.0011272024 0.0012207031 0.0012440783 0.0012674534 0.0019323471 599.0 9.914858 5939.0 0.013470281 0.0011786496 0.0018521637 0.00067351403 0.011786496 0.0010102711 0.00067351403 0.0010102711 0.0026940561 0.0023572992 0.004882977 0.0030308133 0.00454622 0.0040410846 0.004882977 0.0016837851 0.0075770332 0.0025256777 0.007913791 0.008755683 0.0026940561 0.0015154066 0.0020205423 0.0013470281 0.0015154066 0.0010102711 0.0025256777 0.0063983835 0.0013470281 0.00067351403 0.0018521637 0.0013470281 0.006566762 0.016501095 0.012796767 0.017342987 0.011112982 0.018353257 0.012123253 0.008250548 0.0047145984 0.0085873045 0.00084189256 0.0021889207 0.007071898 0.0075770332 0.0047145984 0.0050513553 0.008418926 0.01246001 0.0075770332 0.0180165 0.012291632 0.013133524 0.01481731 0.008082169 0.0015154066 0.013975416 0.0050513553 0.013301902 0.0028624348 0.011281361 0.011786496 0.011281361 0.0020205423 0.04798788 0.005219734 0.016164338 0.021384072 0.08469439 0.011449739 0.008250548 0.014648931 0.03300219 0.0016837851 0.005219734 0.0407476 0.013133524 0.03300219 0.037885167 0.011281361 0.00067351403 0.062131673 0.024246506 0.054049503 0.015322445 0.004209463 0.0031991918 0.008755683 0.012123253 0.00084189256 0.0016837851 0.00067351403 0.00067351403 0.0018521637 0.0013470281 5.736921 0.0 0.0 0.0 1.0 193536.0 241664.0 0.0 0.0 148.0 0.0 0.0 0.0 1.0 0.0 1542444700.0 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 1.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 175104.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -174080.0 -4608.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.299104 -6.0836105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.851974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.609608 -4.958412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25300.0 0.0 0.0 -11460.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -173776.0 -4332.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4332.0 225280.0 0.0 241664.0 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 237568.0 0.0 0.0 0.0 0.0 648.0 226228.0 0.0 0.0 0.0 0.0


Input: 0.15775208 0.021289118 0.0104432115 0.007676429 0.015374789 0.005497379 0.0034647142 0.0038547996 0.0106219435 0.0029043949 0.0018794272 0.0020899582 0.007446161 0.0015019518 0.0016645102 0.010791903 0.022794085 0.0012401588 0.0012475603 0.0010921293 0.0051747295 0.0031755082 0.0017015176 0.00097644684 0.004719676 0.0009523235 0.00094218075 0.001074585 0.0027404658 0.0007705761 0.00071766926 0.0010526547 0.01374756 0.0006428321 0.0006949166 0.0011708041 0.008570364 0.0022999407 0.00057128444 0.0009191539 0.0028035154 0.0013188338 0.0010194851 0.0013944933 0.002845457 0.0013517292 0.0013254129 0.0009638369 0.003984188 0.0023191299 0.002432071 0.008306925 0.002725937 0.0035014474 0.004024485 0.0017788219 0.0026615167 0.0025976447 0.0021168226 0.0049208864 0.0030532468 0.0020458233 0.0016011865 0.0014317748 0.0053556548 0.0032799514 0.0019994956 0.0038950965 0.0042191166 0.009950054 0.0037805105 0.0029189237 0.0022813 0.0015395074 0.00069382007 0.00096849713 0.0023805348 0.0055914056 0.0014279371 0.0013692734 0.0070604617 0.0027604771 0.0015501984 0.003547227 0.002334481 0.003964177 0.0036001338 0.0034172898 0.0013857211 0.0005556591 0.00044107327 0.0025036186 0.0013418606 0.0053139874 0.0033956338 0.00429505 0.0017020658 0.004528608 0.0013021119 0.0027007172 0.003818066 0.0070344196 0.0028819162 0.00128539 0.0059642205 0.004586175 0.0058252374 0.0005024781 0.0033660277 0.0019123226 0.004518465 0.004349054 0.004384416 0.0007368583 0.005801388 0.0055872938 0.014699061 0.010906215 0.0019027281 0.0017154982 0.0028843833 0.0014558982 0.0006913529 0.0006842255 0.0018139104 0.0022571767 0.0008695366 0.0010055045 0.0049274657 0.0036039716 0.0013668063 0.0134314895 0.005739983 0.013844328 0.0020227965 0.0016318889 0.003653863 0.013961929 0.001512917 0.050131034 0.00097452797 0.010214862 0.0013876401 0.0006436545 0.0020370514 0.00039063356 0.00027248406 0.00039447137 0.0014156012 0.0008588456 0.00035170728 0.000348966 0.00091339723 0.0004649225 0.0003081208 0.00054222683 0.001074585 0.00060555054 0.00031990834 0.000323472 0.0017437334 0.0010770521 0.00025247264 0.0003462247 0.0010680059 0.00033443715 0.0002406851 0.00025411742 0.0011274918 0.0002760477 0.00027248406 0.0003253909 0.0017859492 0.00025439155 0.0002596 0.00049507665 0.0024923792 0.0006291256 0.0007305533 0.00089475646 0.0016409351 0.0014380798 0.0013284283 0.0010784228 0.0031236978 0.0010452531 0.0011740937 0.00063488237 0.0012113752 0.0009059957 0.00085281476 0.0008196452 0.009989254 0.0032412992 0.004229259 0.002406851 0.003935119 0.0010137283 0.002500329 0.008088445 0.0032396545 0.0025033443 0.000868166 0.0016582052 0.016055726 0.0015921402 0.002685914 0.0021656177 0.0021823396 0.0006993026 0.0016137963 0.00051042787 0.0010828088 0.00028783525 0.0017497642 0.0006527007 0.0025765367 0.0013413123 0.0004528608 0.0018909406 0.0015504726 0.0016699928 0.00054359745 0.0006496853 0.002955931 0.00089448236 0.0005965043 0.00043970262 0.0016927455 0.0027950173 0.00047040507 0.0004898682 0.012998366 0.0025543324 0.00050686416 0.0046829428 0.0046042674 0.00046464836 0.0006019869 0.0006450251 0.004577677 0.001251124 0.0011817693 0.0007223294 0.0026283471 0.00051618455 0.0034855478 0.0017322201 0.0053301607 0.002104487 0.0012785369 0.0017185136 0.0050779623 0.0018007522 0.0034951423 0.051736604 0.00055999454 8.227148e-07 0.0 0.0 0.0 0.0 0.0 0.0 2.742383e-07 0.0 1.3711914e-07 0.0 1.3711914e-07 2.742383e-07 0.0 0.0 0.00025984077 1.6180058e-05 5.484766e-07 2.742383e-07 1.2340722e-06 1.3711914e-07 0.0 4.113574e-07 9.59834e-07 1.3711914e-07 0.0 2.742383e-07 2.742383e-07 2.742383e-07 1.3711914e-07 1.3711914e-07 0.0018022939 8.734489e-05 1.0283935e-05 2.8795018e-06 6.855957e-06 2.6052637e-06 5.6218846e-06 4.113574e-06 7.95291e-06 1.7825488e-06 9.59834e-07 4.936289e-06 7.815791e-06 8.775625e-06 1.6454296e-06 9.872578e-06 0.0027034408 0.00015480751 5.7590037e-06 1.0969531e-05 1.5494463e-05 3.1126045e-05 4.250693e-06 2.5092802e-05 1.0146816e-05 9.3241015e-06 6.3074804e-06 6.3074804e-06 1.0009697e-05 2.6052637e-06 7.2673142e-06 8.611082e-05 0.024339195 0.0018485031 0.0004827965 0.0003569211 0.00037268983 0.00013382827 0.00011572855 0.00019841139 0.00015316208 0.0001110665 7.719808e-05 8.9675916e-05 7.514129e-05 9.0361515e-05 0.00022007621 0.0008213436 0.008932764 0.00068395026 0.00013012606 0.00015659006 0.00025490447 9.941137e-05 7.582688e-05 6.705126e-05 5.5121895e-05 5.44363e-05 4.140998e-05 4.2506934e-05 6.540583e-05 3.7982e-05 0.00013286844 0.00096408464 0.004330771 0.00044933942 0.000601953 0.00013780473 0.001004809 0.0005889267 0.0016433728 0.00083217607 6.458312e-05 2.2761777e-05 4.15471e-05 4.9911367e-05 2.9069257e-05 3.1263164e-05 6.0332422e-05 0.00022089893 0.0057481714 0.00043809565 0.006790825 0.00043165105 0.000721658 0.0005302397 0.01664544 0.009134329 8.281996e-05 4.3329648e-05 4.6483387e-05 7.116483e-05 6.842245e-05 5.100832e-05 7.637536e-05 0.00011970501 0.0077172024 0.00077856245 0.002860031 0.00068463583 0.0010763853 0.0007778769 0.007816065 0.004293886 0.00031290588 0.000104347666 9.488644e-05 0.00013218285 0.00021884215 6.3486164e-05 0.00010969531 0.0016026485 0.008558154 0.0008853783 0.004890217 0.0015994947 0.0021359047 0.0023750407 0.0098880725 0.0056722076 0.0005292799 0.00010270224 9.625764e-05 0.00016989061 0.00046250285 0.00011367176 0.00021020364 0.0007833616 0.0052849827 0.00061292254 0.0008863381 0.0005036386 0.00072947383 0.0005970167 0.0012184407 0.00081078545 0.0009429683 0.00014918562 0.00010571886 0.00023227982 0.0009857495 0.00011435736 0.00023721611 0.00062992534 0.013887974 0.0029966016 0.0027879062 0.017300596 0.002133985 0.0019236443 0.002193769 0.002095866 0.00426989 0.001378733 0.0014474296 0.00169301 0.002732236 0.0013844919 0.0019787662 0.002979599 0.039873835 0.006164191 0.003690973 0.00447406 0.005934242 0.0056185937 0.003331995 0.0047594053 0.021610525 0.0016983576 0.0014280959 0.0037046848 0.009581337 0.002305384 0.0056478004 0.01637422 0.12062234 0.027649252 0.014986436 0.018939307 0.03066409 0.028166054 0.010604657 0.024257747 0.08537175 0.0057195136 0.0053789094 0.011366628 0.042353358 0.011970227 0.023427352 0.053546257 0.019554012 0.0075917384 0.0034979093 0.0048836353 0.006580759 0.0066091423 0.002704538 0.005223142 0.015657086 0.0012059628 0.0013278617 0.0024120628 0.009583531 0.0032563054 0.0052752476 0.010506205 4.15471e-05 1.3711914e-05 1.275208e-05 1.2477842e-05 2.1253467e-05 1.46717475e-05 2.8109424e-05 1.6728534e-05 1.3849033e-05 1.426039e-05 1.3986152e-05 2.22133e-05 1.2477842e-05 1.9608036e-05 1.1243769e-05 1.1929365e-05 12969.0 27.5864 357768.0 0.106356636 0.00054504594 0.0010481653 0.003122135 0.0044833524 0.008142148 0.00062610407 0.0034938843 0.00883813 0.0072281477 0.001014624 0.0015456944 0.0072756647 0.006219114 0.008692784 0.0023562757 0.007708906 0.0096487105 0.006442723 0.0066132243 0.0064818542 0.0051821293 0.0049026185 0.004743297 0.0066439705 0.005769102 0.00843843 0.006138056 0.010831041 0.0050619394 0.0061212853 0.004058496 0.0025798841 0.0054029427 0.0021773886 0.0038320923 0.007625053 0.0060486123 0.0049054134 0.003952282 0.002783927 0.005928423 0.00037733951 0.0005674068 0.0053554256 0.004136759 0.0036811566 0.0047964044 0.0072952304 0.0011879207 0.0058138235 0.011130118 0.0057383557 0.0017637128 0.0019901164 0.0015177433 0.002370251 0.00078263006 0.0005282753 0.0014338901 0.0016267525 0.0010900919 0.00095313165 0.013039176 0.0016798596 0.04227041 0.010042821 0.024158115 0.028549228 0.066800274 0.015465329 0.0099366065 0.013229243 0.04219494 0.0019342144 0.002264037 0.026710046 0.016055098 0.042622592 0.04077782 0.021799043 0.0014618412 0.04255551 0.040428434 0.052173477 0.02185215 0.006548937 0.0048243552 0.008488742 0.007208582 0.0022836027 0.0004556025 0.0057830773 0.00038013462 0.00047516826 0.00040529057 5.5498347 0.0 14.0 0.0 6.0 3647920.0 3690496.0 1.0 29.0 194.0 1.0 1.0 1.0 0.0 0.0 3649299500.0 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 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 12.0 10.0 0.0 6.0 0.0 3488768.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -120832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3488768.0 -4608.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.646398 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6470792 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.525265 -5.5739956 3.3744197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -120692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3488437.0 -4520.0 1088.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 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 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -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 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 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 -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 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 -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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 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 -2.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 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 2.0 -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 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 885.0 3491648.0 100.0 3556124.0 1088.0 3563520.0 0.0 0.0 5552.0 3642368.0 120692.0 3567616.0 84.0 629824.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 164664.0 0.0 0.0 792.0 3555328.0 0.0 0.0 0.0 0.0


Input: 0.113713995 0.0038787036 0.003379315 0.003307339 0.0034477366 0.003107406 0.0030603106 0.003257578 0.0032717953 0.0030923 0.0030736395 0.003128732 0.003002552 0.0031473925 0.0029794485 0.0031713846 0.0030389843 0.0030034406 0.0030345414 0.0030380958 0.0031545013 0.0031465038 0.0033082278 0.003451291 0.003383758 0.003868929 0.0034895004 0.0034628427 0.0033259995 0.0036067946 0.0032824585 0.0043558776 0.0041470584 0.0035285985 0.0037925101 0.0034761715 0.0036609985 0.0031358409 0.0032380288 0.0031864906 0.00340775 0.0033020074 0.0032069283 0.0033642089 0.0032211456 0.0032469148 0.003298453 0.0031989308 0.0031207348 0.0030443158 0.0030691964 0.0034450707 0.0030736395 0.0029758944 0.0029910004 0.0029563452 0.0029732285 0.0030389843 0.0029767829 0.003013215 0.0029687856 0.0028665974 0.0029892232 0.0030105493 0.0030763051 0.0029181358 0.0030532018 0.0028817034 0.003061199 0.0029883345 0.0029527908 0.0029376848 0.002902141 0.0028879237 0.0029492364 0.0029003639 0.0029101386 0.0028799265 0.002948348 0.0029225787 0.00291547 0.0029892232 0.0029758944 0.002871929 0.0029901117 0.0029598996 0.0028781493 0.0030674192 0.0028514913 0.00297856 0.002861266 0.0029234674 0.0028861465 0.0036396724 0.0033055618 0.0032264772 0.0030016634 0.0030229897 0.0030105493 0.0033277767 0.0031998195 0.0036041287 0.0037107598 0.0030443158 0.0031687187 0.0030567562 0.00321848 0.0031411725 0.003200708 0.0030825252 0.0033020074 0.0033428827 0.0031545013 0.0031162917 0.0031767162 0.0032175912 0.0032220343 0.0030763051 0.0031118488 0.0032167027 0.0031171804 0.0031011857 0.003113626 0.0029750057 0.0031118488 0.0029972205 0.0031154032 0.0031207348 0.003777404 0.0031340637 0.0030967428 0.0031784931 0.0032709069 0.0030869683 0.0030647535 0.003080748 0.0032780154 0.0033606545 0.0031118488 0.0030905227 0.0030443158 0.0031242892 0.00297856 0.0030052178 0.0030567562 0.0029323532 0.0029750057 0.00309852 0.0030300983 0.0029616768 0.003039873 0.0030096609 0.0030754167 0.0035605878 0.002948348 0.003083414 0.00321848 0.0029856688 0.0029625655 0.0029670084 0.002983003 0.0029865573 0.0029430164 0.0029661197 0.0029527908 0.0030318755 0.0029821144 0.0030336527 0.0030665307 0.0029856688 0.0029856688 0.0030691964 0.0038831467 0.0034726171 0.0032513577 0.0033393283 0.003954234 0.003340217 0.003586357 0.0034201902 0.003340217 0.00334466 0.0033064506 0.003244249 0.0034095272 0.0034406278 0.003331331 0.003479726 0.003142061 0.0032371404 0.003194488 0.0032735725 0.0034521795 0.003331331 0.0032202571 0.003196265 0.0032131483 0.0031473925 0.0032664638 0.003248692 0.0033277767 0.003065642 0.0032193684 0.0031296206 0.003764964 0.0030878568 0.0032140368 0.0031207348 0.0031189576 0.0032469148 0.0032629094 0.0030709736 0.0033268882 0.003529487 0.0032629094 0.0032406948 0.0040493133 0.0032842357 0.0032700181 0.0033802036 0.0032664638 0.0033339967 0.003422856 0.0032069283 0.0035277097 0.0033873124 0.003398864 0.003394421 0.0033064506 0.0033677632 0.0037267543 0.008681543 0.0036192348 0.0034441822 0.0034957204 0.0035374844 0.0034966092 0.003862709 0.004614458 0.0037880673 0.0037240887 0.0040466473 0.004454511 0.0038271653 0.0035063836 0.0035410388 0.0035259326 0.0036618873 0.0036334523 0.0036076831 0.0036698845 0.0036343408 0.0052400264 0.004328331 0.0037000966 0.05463596 0.019098112 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.3785719e-05 1.3785719e-05 0.0051558586 1.7788024e-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 0.0001534217 0.0001534217 0.004092135 5.5587574e-05 7.55991e-06 1.7788024e-06 0.0 0.0 0.0 2.2235029e-06 6.670509e-06 0.0 0.0 0.0 6.225808e-06 0.0 0.00015964752 0.00022190559 0.0061275293 7.73779e-05 7.115209e-05 3.157374e-05 1.600922e-05 5.336407e-05 8.894012e-07 8.00461e-06 1.9566825e-05 1.3341017e-06 4.447006e-07 1.3341017e-06 1.28963175e-05 2.6682035e-06 0.00018944245 0.0006723873 0.004517713 6.492629e-05 3.5131347e-05 4.580416e-05 1.6898623e-05 8.894011e-06 1.3785719e-05 2.935024e-05 2.935024e-05 3.5576047e-06 5.336407e-06 5.336407e-06 1.467512e-05 4.8917063e-06 0.00013741248 0.0014421641 0.008598286 9.605533e-05 6.714979e-05 8.0046106e-05 3.3797245e-05 5.6032273e-05 2.8016137e-05 0.00018277194 0.00034286416 4.0023053e-05 3.5576046e-05 2.8905539e-05 7.115209e-05 1.5564521e-05 0.00019433416 0.0019691342 0.0064036883 0.00016142632 0.0001431936 9.561063e-05 0.00010005763 7.026269e-05 0.00011028575 7.115209e-05 0.00011428805 7.026269e-05 5.291937e-05 5.5587574e-05 6.848389e-05 3.8244252e-05 0.00040067523 0.0011513298 0.003759054 0.00013074197 0.000108062246 6.1813385e-05 8.849542e-05 0.00011784566 0.00012095856 6.8928595e-05 6.8928595e-05 3.2907843e-05 5.025117e-05 5.5587574e-05 5.5142875e-05 5.247467e-05 0.00018677425 0.000506514 0.003860446 0.00018277194 0.00014274889 8.627192e-05 5.158527e-05 6.2702784e-05 0.00013252077 6.092398e-05 4.580416e-05 0.00012095856 6.6260385e-05 0.00017254383 7.6488504e-05 7.4265e-05 0.00033530424 0.0009036316 0.005724631 0.00032774435 0.00035175818 0.0002943918 0.00013696778 0.00018899776 0.00039356 0.00020589637 0.0001587581 0.0004304702 0.00016898623 0.00048250015 0.00018499544 0.0001503088 0.00054609234 0.0020936504 0.0080348505 0.00061190804 0.00064392644 0.00042913607 0.00023435721 0.00033485953 0.00078489655 0.00055720983 0.00031929504 0.00032729964 0.0004593757 0.00038600012 0.00049317296 0.00041890796 0.0012785142 0.0038119734 0.018298985 0.0019015397 0.0021367862 0.0009587745 0.00061235274 0.0007702214 0.001097521 0.0014821871 0.0021972656 0.0017965904 0.0014688461 0.0019793622 0.0018926457 0.0018664084 0.0056463634 0.020557174 0.015399537 0.003494902 0.0033810586 0.0012553898 0.0008200279 0.0014612861 0.0032396438 0.0018881987 0.0022128301 0.0011642261 0.0020269454 0.0039413814 0.002573927 0.0033699411 0.006009684 0.023353007 0.008505789 0.0027393557 0.0029354687 0.0010179196 0.0006674956 0.0008925141 0.0013981387 0.001359005 0.0010748414 0.0009783413 0.0016271594 0.0029625953 0.0022853164 0.0030466437 0.003141365 0.011816139 0.0002307996 1.511982e-05 9.4721225e-05 2.8905539e-05 6.848389e-05 3.4241944e-05 4.9361766e-05 4.2246556e-05 0.00011428805 1.7343324e-05 1.6453921e-05 2.6237334e-05 7.871201e-05 1.6453921e-05 3.602075e-05 4.1357154e-05 0.043791 0.04412764 0.04430285 0.044150766 0.04431308 0.044287287 0.044029806 0.04399512 0.04401602 0.04396399 0.043997787 0.043992452 0.044201016 0.044262383 0.044273503 0.04412408 3917.0 5.9979577 23494.0 0.020217927 0.008938452 0.010938963 0.009917426 0.011662552 0.008002043 0.009236401 0.009491785 0.009874862 0.010683578 0.0079594795 0.011492296 0.009576913 0.011705116 0.010726143 0.009278965 0.009364093 0.010428195 0.011109219 0.011790244 0.010428195 0.00995999 0.010428195 0.008512812 0.010002553 0.009576913 0.009278965 0.010215374 0.010300502 0.010002553 0.010768707 0.010002553 0.009576913 0.010938963 0.012088193 0.0093215285 0.010428195 0.009704606 0.009278965 0.011024091 0.008768196 0.010215374 0.009108708 0.008938452 0.010300502 0.0091512725 0.009236401 0.009278965 0.00881076 0.010641015 0.009662041 0.009236401 0.010257938 0.010087682 0.008895888 0.010428195 0.008981016 0.009193837 0.008981016 0.011279476 0.009704606 0.009193837 0.008725632 0.012854346 0.010087682 0.01153486 0.009917426 0.01153486 0.011960501 0.016216906 0.010087682 0.009619477 0.010896399 0.011832808 0.008044607 0.008512812 0.013152294 0.012811782 0.013322551 0.015408189 0.011279476 0.010428195 0.012684089 0.012811782 0.013577934 0.01153486 0.009704606 0.012130757 0.00974717 0.010215374 0.009406657 0.008938452 0.009278965 0.00881076 0.009108708 0.009236401 6.5657525 0.0 0.0 0.0 15.0 1125376.0 2674688.0 0.0 0.0 16.0 1.0 1.0 0.0 0.0 0.0 1542965900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 798720.0 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 -797184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 327168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.999614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8901377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -798720.0 0.0 0.0 0.0 0.0 0.0 1544192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 960.0 2672996.0 325988.0 2347008.0 0.0 0.0 0.0 0.0 24.0 2673956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 2345136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.18323107 0.021131003 0.012638679 0.015037541 0.0065627275 0.006433154 0.004205889 0.0033864235 0.0072631254 0.0028506191 0.0034109375 0.0026475037 0.0028261053 0.0040027737 0.001978624 0.012750742 0.007399703 0.0022867988 0.0014673334 0.0019576119 0.0018560543 0.003922228 0.0017544966 0.0014638314 0.0033443996 0.0020766796 0.0013342579 0.0013342579 0.0020976914 0.0014638314 0.001281728 0.001631927 0.008775985 0.0015233653 0.0014288116 0.0015058554 0.015121589 0.0012537121 0.0008089595 0.0009140192 0.003253348 0.0010786126 0.0010786126 0.0023008068 0.0011976802 0.0031027624 0.0017790105 0.0013412618 0.006440158 0.001943604 0.0017755085 0.005200454 0.0018140303 0.0011661624 0.0008334734 0.0010716086 0.0032743597 0.00197162 0.0010050709 0.0060304254 0.0014953493 0.0015793971 0.0016529389 0.0030467305 0.008226172 0.012228946 0.0020801816 0.003176304 0.00959545 0.005760772 0.0015408752 0.0018315404 0.0485936 0.00778142 0.0012081863 0.0016564409 0.009203227 0.0037086066 0.0015373732 0.0011871743 0.0040167817 0.0010015689 0.0013237519 0.002283297 0.002878635 0.0025214322 0.0018350423 0.0025214322 0.002258783 0.00092452514 0.00082646945 0.0015093574 0.0035089932 0.001313246 0.0014498235 0.002608982 0.002566958 0.0030502325 0.0012572141 0.002920659 0.0030432285 0.0043284586 0.0062790667 0.0013902896 0.0023953605 0.0031027624 0.00078094355 0.0011276405 0.002882137 0.0019576119 0.0027595675 0.0035720288 0.0038591921 0.0010015689 0.0042479127 0.004163865 0.013461647 0.006464672 0.0023043088 0.0018910741 0.002573962 0.0015793971 0.0011241385 0.00096304703 0.0019260941 0.0011451504 0.001271222 0.001281728 0.0037961563 0.0023043088 0.0023673447 0.01248109 0.004135849 0.009630471 0.0012502101 0.00092102314 0.00257046 0.014151538 0.0016529389 0.029724883 0.0014603295 0.011969799 0.0009140192 0.0008369754 0.0037646382 0.0007424217 0.0008124615 0.00092102314 0.0012116883 0.0012642181 0.00075993163 0.0007494257 0.0011766683 0.0007494257 0.00074592367 0.0007074018 0.0010365888 0.00076343364 0.00060234213 0.0008089595 0.0020206477 0.0011241385 0.0012397042 0.0010611027 0.0011031266 0.0010050709 0.0010015689 0.0009140192 0.0017790105 0.0007074018 0.0007144058 0.0008509834 0.0008684933 0.00087899924 0.00072491175 0.0009350311 0.0016949627 0.0008544853 0.0008054575 0.0008089595 0.0010716086 0.0011381465 0.0015688911 0.0027105396 0.0028506191 0.0016704488 0.0024023645 0.0010120749 0.0011101306 0.0011661624 0.0010260828 0.0011381465 0.008905558 0.004531574 0.0021572253 0.0050638765 0.0037856502 0.0013797837 0.0021467193 0.0040377933 0.0042339046 0.0036910966 0.0018070264 0.0021116994 0.028408136 0.0011451504 0.0019366 0.0019260941 0.002538942 0.0016914607 0.0021362135 0.0013272539 0.00088600325 0.00092452514 0.0010646047 0.0011521544 0.0027490614 0.0018840701 0.0011171346 0.0017509946 0.00087899924 0.0008334734 0.00086499134 0.0010435928 0.0027665715 0.0011731663 0.00094203505 0.0010120749 0.0010505967 0.0007179078 0.00094553706 0.0009070152 0.010295848 0.003235838 0.0010996246 0.004598112 0.0029871967 0.0008754973 0.0007949515 0.0009000112 0.0033303916 0.0011346445 0.0015408752 0.00094553706 0.0011136326 0.00094903907 0.0029591809 0.0014708354 0.0033654117 0.001940102 0.001306242 0.0012467081 0.0012116883 0.0016844567 0.003253348 0.022626352 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0030195876 2.2915727e-05 2.6441223e-05 1.7627483e-05 4.4068704e-05 4.0543207e-05 0.00013220611 2.4678475e-05 1.7627483e-05 1.939023e-05 5.2882447e-06 7.403542e-05 1.5864734e-05 1.939023e-05 1.5864734e-05 0.00011457863 0.013185357 0.0007897112 0.00062225014 0.00014807085 0.00090957806 0.00012339237 0.0011933806 0.0006909973 4.2305957e-05 4.4068704e-05 4.2305957e-05 4.4068704e-05 4.0543207e-05 4.5831453e-05 4.75942e-05 8.1086415e-05 0.03452166 0.0011722276 0.0016499324 0.00036136337 0.0026353085 0.0006134364 0.0018103424 0.0013661298 0.00035254963 0.00034902414 0.0005499774 0.00031905744 0.00032258293 0.00026970048 0.00020800429 0.00043011055 0.01702286 0.0004794675 0.0006892345 0.00035254963 0.00077384646 0.0004794675 0.0024537456 0.0013590788 0.00020624154 0.00021858078 0.00036488887 0.00020271604 0.00012339237 0.00010929039 0.00010223939 0.0003331594 0.0066402727 9.342565e-05 0.00017803756 0.00018332581 0.00068570906 0.0003331594 0.0010999548 0.0006909973 0.00014101986 7.2272676e-05 9.51884e-05 0.00020624154 0.00017803756 4.4068704e-05 2.2915727e-05 0.00016569834 0.020148212 0.0018191561 0.0008848996 0.0011704648 0.001434877 0.0016957638 0.0055209273 0.0034338336 0.0005746559 0.00046712827 0.00045478903 0.0003948556 0.00046184 0.00028380245 0.0004124831 0.00055350293 0.023932831 0.0018702758 0.0018738013 0.0017504089 0.0016763735 0.0016023382 0.0032258292 0.0035854299 0.0013608416 0.0008813741 0.0006010971 0.0008884251 0.00087256037 0.0006839463 0.00076855824 0.0013573162 0.015388791 0.0007244895 0.0011140569 0.0007861857 0.0017239677 0.0011369726 0.0021258744 0.00214879 0.0012797551 0.0009219173 0.00056936766 0.00078794843 0.0015283027 0.0006768953 0.0006962855 0.0008813741 0.024315348 0.002106484 0.0031747094 0.002612393 0.010393163 0.0017927149 0.001477183 0.0022880472 0.0108990725 0.0019425486 0.0024167278 0.0020201094 0.0066631883 0.0014948105 0.0023391668 0.003486716 0.10230638 0.016964689 0.024317112 0.018110475 0.0803443 0.014891697 0.010216889 0.020634731 0.06864494 0.0050238324 0.004410396 0.01067344 0.054292645 0.010911412 0.019580606 0.029651187 0.022074895 0.0049973913 0.006455184 0.007770194 0.013969779 0.0050731893 0.007791347 0.007442323 0.011849193 0.0019760407 0.0024696102 0.002834499 0.00839597 0.0033351197 0.0051472248 0.0075516133 0.007523409 0.0055050626 0.005423976 0.006839463 0.0052194973 0.0049163047 0.005970428 0.005552657 0.0051895306 0.0048422692 0.004884575 0.004563755 0.004711826 0.0048775245 0.005018544 0.0056037763 1361.0 11.711976 15940.0 0.030991217 0.0021329988 0.0026976161 0.0018820578 0.022082811 0.0017565872 0.0017565872 0.0009410289 0.0032622335 0.0016938519 0.00069008785 0.0026348808 0.0013801757 0.0053952322 0.013864492 0.008281054 0.02195734 0.013927227 0.0075909663 0.0077791717 0.0038895858 0.0031994982 0.0028230867 0.0033877038 0.008155583 0.006148055 0.0030740276 0.0077791717 0.0049560852 0.0020075282 0.0042659976 0.0025094103 0.009096612 0.05 0.0017565872 0.014052697 0.014993726 0.0077164364 0.0049560852 0.0069636134 0.021329988 0.010476788 0.0013801757 0.0022584694 0.008782936 0.008030113 0.00727729 0.0028230867 0.013048934 0.0013801757 0.0063989963 0.012484316 0.01217064 0.010602258 0.017126726 0.017377667 0.005520703 0.0011292347 0.0028230867 0.0023212044 0.0075909663 0.005834379 0.009347553 0.016436638 0.0020702635 0.027415307 0.00608532 0.023274781 0.022459222 0.04560853 0.019259725 0.008406525 0.008971142 0.033437893 0.0011919698 0.0028230867 0.019008784 0.016373903 0.024466751 0.043601003 0.014240904 0.0013801757 0.038582183 0.029422836 0.050752822 0.01336261 0.0040150564 0.004391468 0.006524467 0.004579674 0.0018820578 0.0011292347 0.0030112923 0.0011292347 0.0011292347 0.0016311167 5.90436 2.0 20.0 0.0 6.0 285552.0 294912.0 1.0 0.0 121.0 1.0 1.0 1.0 0.0 0.0 1543996700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 0.0 177664.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55808.0 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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -177664.0 0.0 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.35342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0469346 0.0 0.0 0.0 0.0 5.4611645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8430407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4100885 0.0 7.7700143 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55418.0 0.0 0.0 0.0 0.0 8736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -177275.0 0.0 20636.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 236284.0 20636.0 266240.0 8736.0 253952.0 15728.0 269824.0 1524.0 290816.0 84.0 220848.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 193312.0 0.0 0.0 1000.0 193576.0 0.0 0.0 0.0 0.0


Input: 0.6382511 0.0032548052 0.002769518 0.0027325314 0.0031004825 0.0026234852 0.0024902066 0.0025240046 0.0035997992 0.00245322 0.0024130451 0.0023907258 0.0028792017 0.0023971028 0.0023907258 0.0033472714 0.0030475536 0.0024436547 0.0024034798 0.0024251614 0.0026049921 0.0025507878 0.0025042358 0.0022185477 0.0025788464 0.002232577 0.002276578 0.0022867813 0.0024321761 0.0077537573 0.0022842304 0.0024717133 0.0028626216 0.0076581025 0.0025169898 0.0022376785 0.0027140381 0.0023575656 0.0021847498 0.0023403477 0.0024085813 0.00772251 0.0024079436 0.0025431353 0.0023142023 0.0023218545 0.0023071875 0.0023352462 0.0024551332 0.0022931583 0.0022950713 0.0029499861 0.0024124074 0.0023639426 0.0024187844 0.002459597 0.0024736265 0.0024602348 0.0022931583 0.0028084174 0.002355015 0.0023282315 0.0022446932 0.0023428986 0.0015598068 0.0006893504 0.00037369042 0.011241321 0.0006192037 0.0014756307 0.0006262184 0.00050569366 0.00046679415 0.0003558349 0.00030418145 0.00032139925 0.0057890126 0.0010235036 0.00040812604 0.00031566 0.0010286052 0.0006172906 0.0006255807 0.0007569463 0.00043363392 0.0009871549 0.0008226291 0.0006070875 0.00031757308 0.0007741641 0.0003080076 0.00042279306 0.00035073332 0.0061620655 0.00058030424 0.0004827366 0.0005037806 0.0004999544 0.00032331236 0.0003960098 0.00048656276 0.0007716133 0.000505056 0.00034116788 0.0005535209 0.011315295 0.0008028605 0.00025699186 0.0004616926 0.00039282133 0.00047189574 0.00053183927 0.0005369408 0.00028760132 0.00064088544 0.0005822173 0.0015566183 0.0015942424 0.00038261816 0.0003749658 0.00037751658 0.00030609453 0.00024360024 0.00025125258 0.00032586313 0.00061537756 0.00039154594 0.0003743281 0.0005611733 0.00044638786 0.00025571647 0.0017364487 0.0004833743 0.0014042087 0.0002697458 0.0002538034 0.00046806957 0.0014488475 0.00036476264 0.0036769605 0.00030673222 0.0012549876 0.00024296253 0.000252528 0.00032267466 0.00028058665 0.00026081805 0.0002729343 0.0002703835 0.0003162977 0.00056818797 0.00022191854 0.00028058665 0.00025125258 0.0002518903 0.00026528194 0.00031948616 0.00030354375 0.00023020859 0.0057462873 0.00029589137 0.0003545595 0.00040812604 0.00030226834 0.00025699186 0.00030099295 0.0002308463 0.00022383162 0.00030928303 0.00026400652 0.00024360024 0.00027420968 0.0002939783 0.00026209344 0.00027548507 0.00029525367 0.0003124715 0.00027548507 0.0056525455 0.0004374601 0.00029589137 0.00032076155 0.00050250517 0.00035392182 0.00040748835 0.00030928303 0.00024423792 0.0056614736 0.0006274938 0.00030481914 0.00032267466 0.0056684883 0.0009884302 0.0005796665 0.00054650626 0.00085068773 0.0006357838 0.00025699186 0.0005458686 0.00080859975 0.0058719134 0.0004425617 0.00032650083 0.0002971668 0.0013085541 0.00026528194 0.00032458775 0.00030035526 0.00040876374 0.00040366215 0.0004585041 0.0003551972 0.00032012386 0.0056334147 0.0004961282 0.00025699186 0.00042598156 0.00036858884 0.00030992072 0.005775621 0.0003717773 0.005762867 0.00047189574 0.00028249974 0.00053630315 0.00034754485 0.00051334605 0.0002920652 0.0004349093 0.00037751658 0.00035009562 0.00025444108 0.0018091463 0.0059911627 0.00028313743 0.00077033794 0.0007174091 0.0002729343 0.0002914275 0.00030035526 0.0006702195 0.00033415318 0.00046806957 0.00040302446 0.00046679415 0.00028760132 0.0007403662 0.005871276 0.0007282499 0.00040940143 0.00033415318 0.00040111138 0.00078691804 0.0006294069 0.00067595876 0.0057941144 0.62155807 1.9148285e-06 9.574143e-07 1.2765523e-06 0.0 0.0 4.148795e-06 2.2339666e-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 0.0005792356 2.4254494e-05 2.489277e-05 2.5211908e-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 0.00055466196 3.1913808e-07 2.2339666e-06 1.9148285e-06 1.4680351e-05 6.7018996e-06 4.180709e-05 1.9786561e-05 1.9148285e-06 3.1913808e-07 3.1913808e-06 3.1913808e-07 1.2765523e-06 6.3827616e-07 3.1913808e-07 3.5105188e-06 0.00053423713 2.5531047e-06 2.0424837e-05 4.467933e-06 5.1062093e-06 6.7018996e-06 1.5956904e-06 4.148795e-06 3.0956395e-05 2.5531047e-06 1.659518e-05 7.978452e-06 2.2339666e-06 3.1913808e-06 1.2765523e-06 9.5741425e-06 0.00093475543 9.127349e-05 9.350746e-05 8.584814e-05 1.0531557e-05 1.1169833e-05 7.978452e-06 6.3827615e-06 8.29759e-06 8.935866e-06 6.7018996e-06 8.935866e-06 9.893281e-06 7.978452e-06 7.659314e-06 7.3401757e-06 0.033513647 0.0321471 0.032177415 0.032226242 8.9039524e-05 9.255004e-06 8.265676e-05 4.180709e-05 2.7765012e-05 2.1382251e-05 1.2127247e-05 1.1808109e-05 1.0531557e-05 3.159467e-05 4.499847e-05 0.0002715865 0.000829759 1.819087e-05 1.2765523e-05 3.9253984e-05 0.00011042177 3.319036e-05 8.935866e-06 8.935866e-06 1.1488971e-05 1.5956904e-05 7.978452e-06 1.1808109e-05 2.7445874e-05 2.01057e-05 5.1062092e-05 9.989022e-05 0.0014313343 2.2658804e-05 0.00019658906 0.00013148489 0.00026871427 0.00012191074 0.0010403901 0.00049402576 2.489277e-05 1.5956904e-05 1.8829147e-05 1.5637766e-05 2.9041565e-05 1.3403799e-05 2.1382251e-05 7.531659e-05 0.0008281633 1.6914319e-05 9.8613666e-05 2.9041565e-05 0.00025786358 0.000106911255 0.00064019096 0.00029616014 1.3722937e-05 1.5637766e-05 2.4254494e-05 1.4042075e-05 1.2446385e-05 2.1063113e-05 1.9148285e-05 0.00022020527 0.00034179687 7.3401757e-06 0.000102124184 8.04228e-05 0.00012542127 5.5210887e-05 0.00032647824 0.00021860958 1.1488971e-05 4.148795e-06 5.7444854e-06 4.467933e-06 6.3827615e-06 2.2339666e-06 5.7444854e-06 9.5741425e-06 0.0015631383 0.0001608456 0.00012254903 0.000112017464 0.00025754442 0.0002798841 8.935866e-05 0.00015478197 0.00061146857 6.638072e-05 8.584814e-05 0.00012637868 0.00039509294 0.00010882608 0.00025850185 0.00083614176 0.0069284877 0.006445951 0.010723677 0.001176343 0.017089205 0.0077515445 0.010746655 0.0018420649 0.0047905818 0.0053235423 0.0002581827 0.015576491 0.0075989966 0.01566968 0.0068030665 0.009380106 0.006513927 0.0016754749 0.0011335785 0.0014093138 0.002722886 0.0029542611 0.0012711269 0.002205244 0.0045043146 0.0005173228 0.00043498518 0.0009168837 0.002403748 0.0013767616 0.0022971558 0.004264323 0.003541156 0.0039167814 0.0045362287 0.0036435993 0.0051228045 0.003935611 0.004340597 0.0035258373 0.003386055 0.0041647516 0.0037039164 0.0050079147 0.0038452947 0.0048502604 0.004016991 0.0038216785 4357.0 6.9006195 30066.0 0.03246192 0.020820862 0.020920642 0.020754341 0.0206213 0.020288698 0.01879199 0.023082552 0.020754341 0.021353023 0.02474556 0.021153463 0.021120202 0.02245061 0.02072108 0.020055877 0.021353023 0.020953901 0.021253243 0.020953901 0.02088738 0.020454999 0.021851925 0.023581455 0.023481674 0.022018226 0.021353023 0.021020422 0.020022618 0.021153463 0.01879199 0.021020422 0.0024612518 0.0032594958 0.0015299674 0.004556642 0.004390341 0.0025942926 0.003093195 0.0028603738 0.0023282112 0.0025610323 0.0012971463 0.0015964877 0.0031929754 0.004955764 0.0018293088 0.001862569 0.006585512 0.0024279917 0.0027273332 0.009944788 0.0024279917 0.00202887 0.0073504956 0.0051885853 0.0014634471 0.0017627885 0.0013636666 0.0015299674 0.0011641056 0.0021619105 0.0015632276 0.0025942926 0.0062529105 0.014667731 0.0033592763 0.009312845 0.006851593 0.021619104 0.003292756 0.004523382 0.006020089 0.015499235 0.0029934144 0.0015632276 0.009711967 0.0044236016 0.013237544 0.01450143 0.005820528 0.00073172356 0.014035788 0.010942593 0.018060267 0.007250715 0.003093195 0.0023614715 0.0026275527 0.003292756 0.0013969268 0.0013636666 0.001031065 0.00073172356 0.0012306259 0.0012971463 6.034818 0.0 0.0 0.0 7.0 1568143.0 2007040.0 0.0 1.0 101.0 1.0 1.0 0.0 0.0 0.0 1514765200.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 126464.0 1024.0 4096.0 6.0 0.0 0.0 3.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1108480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -643584.0 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 0.0 0.0 0.0 0.0 -3.8100567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.628565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1273044.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -650567.0 0.0 61688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 71.0 130304.0 80.0 127900.0 61688.0 1404928.0 0.0 0.0 0.0 0.0 5276.0 1470464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 14960.0 0.0 0.0 416.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.476981 0.017996652 0.013392857 0.01032366 0.02064732 0.0047433036 0.0023716518 0.0013950893 0.005719866 0.0033482143 0.00390625 0.0015345982 0.0016741072 0.0016741072 0.0008370536 0.0013950893 0.0032087055 0.0008370536 0.00027901787 0.0 0.00027901787 0.00069754466 0.0009765625 0.00069754466 0.0008370536 0.0011160715 0.00055803574 0.00013950893 0.0004185268 0.00013950893 0.00013950893 0.00027901787 0.01046317 0.0013950893 0.00069754466 0.0004185268 0.0012555803 0.0004185268 0.0030691964 0.00069754466 0.002232143 0.0009765625 0.0013950893 0.00013950893 0.0009765625 0.0023716518 0.006417411 0.00055803574 0.0054408484 0.00390625 0.0011160715 0.0008370536 0.0009765625 0.0009765625 0.0013950893 0.00069754466 0.002232143 0.0011160715 0.00013950893 0.0023716518 0.0027901786 0.0 0.00027901787 0.00013950893 0.001953125 0.009905134 0.0009765625 0.0026506695 0.013671875 0.0013950893 0.002232143 0.0062779016 0.0013950893 0.009765625 0.0 0.0032087055 0.0029296875 0.0029296875 0.011858259 0.0011160715 0.012416295 0.0054408484 0.01046317 0.0073939734 0.005998884 0.0016741072 0.0016741072 0.0029296875 0.0069754464 0.0012555803 0.0012555803 0.00390625 0.0011160715 0.0009765625 0.0016741072 0.002232143 0.0016741072 0.0054408484 0.005998884 0.0066964286 0.004464286 0.011160715 0.0030691964 0.00390625 0.005719866 0.0061383927 0.00069754466 0.0015345982 0.0062779016 0.0047433036 0.00655692 0.0061383927 0.0037667411 0.00013950893 0.007952009 0.0048828125 0.0066964286 0.0025111607 0.0013950893 0.0004185268 0.0013950893 0.0025111607 0.0041852677 0.0037667411 0.0011160715 0.00013950893 0.00013950893 0.0008370536 0.0054408484 0.00027901787 0.0008370536 0.00013950893 0.00027901787 0.0025111607 0.00027901787 0.0004185268 0.0041852677 0.00027901787 0.0011160715 0.0023716518 0.0037667411 0.0004185268 0.0 0.0026506695 0.0029296875 0.0004185268 0.00055803574 0.0011160715 0.00013950893 0.0025111607 0.0026506695 0.00027901787 0.0037667411 0.001953125 0.00055803574 0.00013950893 0.0008370536 0.0 0.00013950893 0.00013950893 0.003627232 0.0 0.0 0.00013950893 0.0004185268 0.00013950893 0.0 0.00013950893 0.0008370536 0.0008370536 0.00027901787 0.0009765625 0.00055803574 0.00027901787 0.00055803574 0.00013950893 0.0009765625 0.00013950893 0.00027901787 0.00027901787 0.00069754466 0.00069754466 0.00027901787 0.0004185268 0.0008370536 0.0029296875 0.0008370536 0.00013950893 0.00013950893 0.00027901787 0.00013950893 0.00027901787 0.00055803574 0.00069754466 0.00013950893 0.0004185268 0.00055803574 0.0012555803 0.00055803574 0.00069754466 0.00055803574 0.00013950893 0.0008370536 0.0 0.00013950893 0.0016741072 0.00027901787 0.0009765625 0.00069754466 0.0 0.00013950893 0.0 0.00027901787 0.00069754466 0.00013950893 0.0 0.001953125 0.00013950893 0.00013950893 0.00027901787 0.0004185268 0.00013950893 0.0004185268 0.0009765625 0.0016741072 0.00013950893 0.00013950893 0.00013950893 0.0041852677 0.00013950893 0.00069754466 0.0015345982 0.0004185268 0.0009765625 0.00013950893 0.00013950893 0.00013950893 0.002232143 0.0 0.00013950893 0.00027901787 0.00069754466 0.0 0.0011160715 0.0012555803 0.0 0.0 0.001813616 0.00055803574 0.00013950893 0.00013950893 0.0034877232 0.00055803574 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.13712566 0.0026041667 0.0033365886 0.0011393229 0.001546224 0.0016276041 0.0034179688 0.0028483074 0.0040690103 0.0010579427 0.0014648438 0.0025227864 0.001953125 0.00056966144 0.0007324219 0.0006510417 0.12890625 0.0008951823 0.004313151 0.0012207031 0.0039876304 0.0029296875 0.0060221353 0.004313151 0.0034993489 0.0013020834 0.0013834635 0.001953125 0.0014648438 0.00048828125 0.003092448 0.0008951823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09261068 0.0017903646 0.009358724 0.0030110676 0.008870442 0.010986328 0.013916016 0.008951823 0.0034993489 0.0035807292 0.00081380206 0.0007324219 0.0018717448 0.0010579427 0.0034179688 0.0021972656 0.21044922 0.004801432 0.016927084 0.01977539 0.045979816 0.053548176 0.056233723 0.024820963 0.016276041 0.014322917 0.005859375 0.0044759116 0.0045572915 0.0050455728 0.007405599 0.009521484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 37.0 16.45946 609.0 0.011494253 0.0016420361 0.0 0.0 0.0049261083 0.0 0.0065681445 0.0 0.0016420361 0.0 0.0049261083 0.0 0.0016420361 0.0 0.013136289 0.0 0.00821018 0.0016420361 0.0016420361 0.0 0.0 0.0016420361 0.0016420361 0.0 0.0016420361 0.0 0.0 0.0 0.01642036 0.0 0.0 0.0 0.0016420361 0.07224959 0.0016420361 0.0 0.14614122 0.0 0.0016420361 0.07060755 0.0016420361 0.07060755 0.0 0.01642036 0.0 0.014778325 0.08045977 0.0032840723 0.07224959 0.0 0.039408866 0.018062398 0.00821018 0.0 0.0 0.0065681445 0.07224959 0.0 0.0 0.0065681445 0.0 0.0 0.0049261083 0.014778325 0.0 0.013136289 0.019704433 0.009852217 0.00821018 0.0049261083 0.0 0.009852217 0.018062398 0.0032840723 0.0 0.0 0.0 0.0032840723 0.0065681445 0.0049261083 0.0016420361 0.0 0.02134647 0.009852217 0.0065681445 0.0049261083 0.0016420361 0.0 0.0 0.0 0.03776683 0.0065681445 0.0 0.0 0.0 0.0049261083 4.685652 0.0 0.0 0.0 1.0 7168.0 16384.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 0.0 0.0 512.0 4096.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.070844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8758183 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5796.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 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