Input: 0.0484224 0.04296267 0.016267939 0.021182993 0.03222092 0.007814678 0.0049699564 0.0053065843 0.011728519 0.004051092 0.007980825 0.0021541293 0.009886457 0.0022595965 0.0035959946 0.007303235 0.0075965202 0.00972031 0.0031914632 0.0037130197 0.005131769 0.0023867348 0.0022884915 0.0020226566 0.0035382044 0.0015675589 0.0014505337 0.00144331 0.0033489414 0.001131243 0.00182617 0.0037578072 0.011472797 0.0049526193 0.0021656873 0.0015444428 0.009711642 0.0035598758 0.0014144148 0.0017481532 0.0031957976 0.0016152358 0.0011890332 0.0022942706 0.0026280088 0.0030831066 0.0025066496 0.0019143 0.008271221 0.003993302 0.0023072732 0.0020963391 0.003070104 0.0016426862 0.0016094568 0.0014158597 0.0031235598 0.0011586933 0.0014158597 0.0006963718 0.0034847485 0.0027378101 0.0013320639 0.004647776 0.011620162 0.0033590547 0.0021050076 0.0020963391 0.003328715 0.0031177807 0.0018276147 0.0011948121 0.0026829096 0.0030209823 0.0007469382 0.001230931 0.0040250868 0.001843507 0.0016585784 0.0029342968 0.010928125 0.005727008 0.0077381064 0.0027869318 0.0038632741 0.002315942 0.003428403 0.002149795 0.0022292566 0.005849812 0.006027517 0.00083362346 0.0024401909 0.000989657 0.0015357743 0.0014389757 0.0021627978 0.008824562 0.0018391728 0.0068423585 0.00930711 0.009302775 0.004201347 0.0024936467 0.005276244 0.004159449 0.00096943043 0.0014866526 0.00771788 0.003853161 0.0053239213 0.008107964 0.0032059108 0.0015877854 0.007358136 0.005218454 0.010826992 0.0057038916 0.0016932526 0.0022046957 0.0030729934 0.0021310132 0.0006342473 0.002603448 0.0038950588 0.0011167955 0.0012338206 0.005848367 0.008443147 0.0013508457 0.0009723199 0.0048168125 0.007374028 0.016653689 0.00038141524 0.0033590547 0.0076572 0.0070662955 0.0018608441 0.00901238 0.0022176986 0.009999148 0.0007281564 0.0019215238 0.004837039 0.0006472501 0.0005562306 0.00032073556 0.0010358891 0.0006342473 0.0020399936 0.0005865704 0.0013378429 0.0021526846 0.0009145298 0.0006197998 0.001284387 0.00069059274 0.0015213267 0.0029776394 0.0018565098 0.0005331145 0.0012945002 0.0003857495 0.0013624037 0.0011716961 0.0010199968 0.00060824177 0.0026583488 0.0010647842 0.0074130367 0.0011023479 0.0013392876 0.00039441805 0.0008206207 0.0012063702 0.0010344444 0.0008581843 0.00090008223 0.003216024 0.0013277297 0.0037260226 0.00046087676 0.00046521102 0.0050219675 0.0010243311 0.001384075 0.0008784109 0.003374947 0.0043747174 0.0012641604 0.0018044987 0.002927073 0.0005966837 0.00078450184 0.0038127077 0.0020154328 0.0011586933 0.001384075 0.0061113127 0.0022567068 0.00063713687 0.00049555086 0.0003481859 0.009704418 0.0012684946 0.0010864555 0.0034659666 0.0018059434 0.0010907898 0.0013465114 0.0006992613 0.0010705632 0.0010199968 0.0009882123 0.0004377607 0.0010257759 0.0009058612 0.00080328365 0.00037708099 0.0014158597 0.0015820065 0.00047821383 0.0007498277 0.0031423415 0.0010171074 0.0011731408 0.0008567396 0.0012814974 0.0002875062 0.0003481859 0.0028129376 0.007639863 0.0019128553 0.0011110164 0.0019489741 0.0016051225 0.0011774751 0.0016542441 0.0034009526 0.0056056483 0.0028707276 0.0024965361 0.0034731904 0.0023419475 0.0017163686 0.0019388609 0.0025427684 0.0041522253 0.0043385983 0.002850501 0.0027565921 0.0071948785 0.004104548 0.010504812 0.06707274 0.014836796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008477548 0.00013764606 4.781389e-05 0.0 5.795623e-06 0.00010142341 1.4489058e-06 9.99745e-05 2.8978116e-05 0.0 0.0 0.0 0.0 0.0 1.4489058e-06 0.0 0.006795368 6.882303e-05 5.4333967e-05 3.6222646e-05 1.9560228e-05 6.230295e-05 8.331208e-05 9.055661e-05 3.260038e-05 5.07117e-06 5.795623e-06 1.5937963e-05 1.4489058e-05 6.520076e-06 9.417888e-06 0.00011808582 0.0026500486 4.3467175e-05 2.028468e-05 1.5213511e-05 2.3906945e-05 3.260038e-05 9.200552e-05 3.5498193e-05 7.244529e-07 7.968982e-06 2.8978116e-06 3.260038e-05 2.1733588e-06 2.1733588e-06 3.6222646e-06 2.1733588e-06 0.0011678181 2.8978116e-06 1.4489058e-06 1.4489058e-06 4.781389e-05 3.1875927e-05 0.00014271722 7.461865e-05 7.244529e-07 2.8978116e-06 1.4489058e-06 3.6222646e-06 1.4489058e-06 2.1733588e-06 7.244529e-07 0.0 0.0022501508 0.000106494575 2.1009135e-05 5.288506e-05 8.910771e-05 3.260038e-05 0.00035932864 4.8538343e-05 3.6222646e-06 7.244529e-07 0.0 0.0 0.0 0.0 0.0 2.8978116e-06 0.00646212 0.00013112597 0.0003491863 0.00017097089 0.00021878477 0.00019125556 0.0006549054 0.0003136881 0.00027384318 4.998725e-05 0.0011047907 6.592521e-05 4.998725e-05 3.1875927e-05 4.7089437e-05 0.00027022092 0.0058970465 0.0016705884 0.00021806032 0.00017604206 0.00018256213 0.00019922455 0.00046727213 0.0005585532 0.00040496918 6.012959e-05 6.375185e-05 7.968982e-05 0.00015575737 4.5640532e-05 4.5640532e-05 0.0016445081 0.0029159228 0.001937187 0.00033759506 0.00028036328 0.00021878477 0.00021806032 0.00038685784 0.0015358401 0.00027384318 0.00020719353 0.0014329678 0.00017604206 0.0012779349 0.00078023574 0.00027674102 0.004064905 0.005668844 0.00201253 0.00083746755 0.0003289016 0.000660701 0.00060202036 0.001661895 0.0012409878 0.000753431 0.00041293816 0.0026167238 0.00062665174 0.0010540789 0.00040062246 0.0008309475 0.005513811 0.027443 0.0057514315 0.007624867 0.0026652622 0.0052971994 0.004151115 0.018539473 0.009337474 0.0041837157 0.000715035 0.0022146525 0.00063751853 0.003760635 0.00039120455 0.0021313403 0.014948361 0.024724852 0.00675987 0.008521015 0.008187043 0.008102281 0.003967104 0.020926546 0.013038703 0.009085364 0.003728759 0.0020878732 0.0011902761 0.00925561 0.0008142851 0.005686955 0.031193493 0.034270246 0.0060238256 0.010558901 0.009219388 0.010336494 0.007100363 0.012408429 0.008014622 0.0052892305 0.0022863734 0.002420397 0.0023182493 0.004507546 0.0024660376 0.004054763 0.02560941 0.045450002 0.013129259 0.00987212 0.009940218 0.010422704 0.009885884 0.0104524065 0.009031029 0.012082425 0.0053008217 0.005615959 0.009031754 0.0054681706 0.0044734967 0.0070069083 0.02274782 0.03804682 0.016177034 0.016198767 0.011630367 0.010766095 0.033439297 0.015381584 0.014689731 0.051328212 0.00924257 0.0064541507 0.01682397 0.012446825 0.006243335 0.011176134 0.01927262 0.0006259273 0.00026225194 0.000391929 0.00032165708 0.00038830674 0.00028471 0.0003520841 0.0001738687 0.0002890567 0.00016734861 0.00025718077 0.00014851285 0.00014054387 0.00015503292 0.00016372635 0.0003289016 8214.0 10.835038 88999.0 0.06069731 0.0015618153 0.0026517152 0.0021348554 0.002078675 0.00076405355 0.0012134968 0.00043820718 0.008022562 0.0064158025 0.00059551233 0.0065731076 0.0008427061 0.0019663142 0.0051910696 0.00691019 0.03489927 0.021685638 0.009314711 0.0043146554 0.0075506466 0.006224789 0.004842751 0.0031348667 0.0049888203 0.0012584411 0.0027078956 0.00022472163 0.0011236081 0.0012022607 0.0012472051 0.0035506017 0.0046292655 0.018022675 0.008325936 0.00908999 0.008224811 0.010528208 0.0061349003 0.0029775614 0.009213586 0.01419117 0.0004269711 0.0012134968 0.0137304915 0.0050787088 0.005977595 0.0094270725 0.015910292 0.005134889 0.015292306 0.012224857 0.01568557 0.0045281406 0.010842819 0.005685457 0.0007977618 0.0047303904 0.0062922053 0.00095506693 0.0057416377 0.0007977618 0.0011910247 0.0036517265 0.000966303 0.057922 0.005101181 0.020809222 0.011472039 0.05467477 0.0108091105 0.009494489 0.01241587 0.02660704 0.0007752896 0.0045281406 0.04091057 0.024820503 0.033225093 0.048056718 0.010022584 0.0020899111 0.050798323 0.029326173 0.038382452 0.02359577 0.006359622 0.010213598 0.0023371049 0.006202317 0.00083147 0.00059551233 0.0014157463 0.0001235969 0.00019101339 0.001943842 5.6823626 1.0 0.0 0.0 3.0 692159.0 57344.0 0.0 1.0 53.0 0.0 1.0 0.0 0.0 0.0 1007148600.0 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 16384.0 4096.0 4096.0 4.0 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 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.324668 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9794111 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.644348 0.0 3.7213612 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19900.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16030.0 0.0 8624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 23008.0 100.0 21660.0 8624.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 228.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.13731101 0.009934587 0.0048953043 0.0065594045 0.011897257 0.0037525613 0.004301199 0.0039238213 0.011080362 0.0022915478 0.0025522267 0.0023036725 0.007155025 0.0024506832 0.0026552856 0.0063987537 0.008140149 0.001903561 0.0017701904 0.0015701347 0.0060456246 0.0017565503 0.002056634 0.0015625568 0.0054788003 0.0016595536 0.0013640167 0.0015186052 0.005180232 0.0016049929 0.0015140584 0.001668647 0.008597852 0.0025097907 0.0013852346 0.001586806 0.02699692 0.002152115 0.0012200371 0.0014140306 0.003992022 0.0016065085 0.0012458018 0.0032539375 0.0030478195 0.0013988748 0.0019899488 0.0012048814 0.0038829006 0.001433733 0.0016292421 0.0057728216 0.0025840537 0.0013746256 0.0013185494 0.0014003904 0.0028401858 0.001800502 0.0016156019 0.0048377123 0.0028386703 0.0018474847 0.0014155462 0.0016428822 0.0050786887 0.00452702 0.0034918827 0.0025810227 0.010559005 0.0047831517 0.009005541 0.0034994604 0.004069316 0.0022127382 0.00182172 0.0018414224 0.007827939 0.0030948021 0.0029099023 0.0018186888 0.008215927 0.0043891026 0.0039404924 0.0053454298 0.0054560667 0.003810153 0.007703663 0.004743747 0.0021824266 0.0025310086 0.0012594421 0.0029947744 0.003601004 0.0031690653 0.005234793 0.0054954714 0.002199098 0.0047392 0.0014928405 0.0022824544 0.0040541603 0.005346945 0.0032887957 0.0022324405 0.004511864 0.0036555645 0.005330274 0.001618633 0.0046755457 0.0020414782 0.0036479868 0.003572208 0.0032660621 0.0013140027 0.0039298837 0.0033494185 0.010515053 0.007339925 0.0021733332 0.001668647 0.0019232634 0.0017489725 0.0016913806 0.0011518362 0.0045164106 0.0022582053 0.0027735005 0.0018626405 0.0033191072 0.0028901997 0.0016413666 0.013637135 0.0040193023 0.006492719 0.0024855414 0.001330674 0.0032781865 0.013929641 0.0041678287 0.038404647 0.0033009204 0.009132849 0.0026461922 0.001341283 0.020088933 0.0012473174 0.0011624453 0.0011548675 0.0016625847 0.001309456 0.0016095396 0.0010260437 0.0014610133 0.0014746535 0.0010381682 0.0015928684 0.0013140027 0.0012397396 0.0014079682 0.0012609576 0.0018959831 0.00209907 0.001074542 0.0012458018 0.0012321617 0.0011594142 0.0010593863 0.00096693623 0.0015519478 0.0013079403 0.001135165 0.001351892 0.0015458856 0.0009805764 0.0011472895 0.0016019618 0.0020111667 0.0011503207 0.0018202044 0.0012003346 0.0013791723 0.0010836355 0.0013352208 0.0012912691 0.0024188561 0.001850516 0.0014867781 0.0012018502 0.0012973314 0.0013534076 0.0016034773 0.0014594978 0.0074702646 0.0054636444 0.0035797858 0.005703105 0.008306861 0.0015170897 0.0029690096 0.004601283 0.0025825382 0.0030993489 0.001892952 0.0015928684 0.002458261 0.001494356 0.0026749882 0.0034752113 0.0021339282 0.001974793 0.002046025 0.0017429101 0.0014640446 0.0012503486 0.002003589 0.001771706 0.0039223055 0.004604314 0.0012791444 0.0023885446 0.0020687585 0.0024461364 0.0018762806 0.0017065364 0.0027916874 0.0016792561 0.0015337609 0.0015292142 0.0015519478 0.0012943002 0.0020687585 0.0012109437 0.011616875 0.0027159087 0.0014034215 0.0037161876 0.0027477357 0.0014973872 0.0013352208 0.0014458576 0.002846248 0.0019990422 0.0013609855 0.0019096233 0.0017489725 0.0012685355 0.002611334 0.002775016 0.0040617385 0.0019550906 0.001832329 0.00202026 0.003554021 0.0022460807 0.002967494 0.022315312 0.023316 1.5187597e-06 0.0 0.0 1.5187597e-06 0.0 0.0 0.0 0.0 0.0 1.5187597e-06 0.0 0.0 0.0 0.0 7.5937987e-06 0.0014785125 3.7968994e-06 3.7968994e-06 2.2781396e-06 6.075039e-06 5.315659e-06 1.5187597e-06 3.7968994e-06 8.353179e-06 1.5187597e-06 1.0631318e-05 1.5187597e-06 2.2781396e-06 7.5937987e-06 4.5562792e-06 1.3668838e-05 0.002866659 3.1134576e-05 2.8856435e-05 3.0375195e-06 4.784093e-05 3.4931472e-05 1.5187597e-06 5.315659e-06 1.9743877e-05 7.5937987e-06 3.7968994e-06 2.2781396e-06 3.0375195e-06 3.0375195e-06 2.2781396e-06 4.9359693e-05 0.0013615681 1.2909458e-05 2.6578295e-05 1.5187597e-06 1.5946976e-05 1.6706357e-05 3.1134576e-05 2.6578295e-05 3.7968994e-06 1.5946976e-05 5.315659e-06 6.834419e-06 2.2781396e-06 0.0 4.5562792e-06 2.3540775e-05 0.0027018737 3.9487753e-05 3.0375195e-05 3.0375195e-05 2.7337675e-05 0.00010631318 3.0375195e-05 2.5818916e-05 2.5818916e-05 1.2150078e-05 1.3668838e-05 1.2150078e-05 1.6706357e-05 1.2150078e-05 1.3668838e-05 1.2150078e-05 0.002528735 3.4931472e-05 5.011907e-05 2.5059535e-05 3.1893953e-05 7.5937984e-05 0.00010327566 6.150977e-05 2.7337675e-05 2.3540775e-05 1.9743877e-05 2.8097054e-05 2.4300156e-05 3.6450234e-05 1.5946976e-05 2.3540775e-05 0.0011983014 1.51875975e-05 1.51875975e-05 2.2022015e-05 5.2397212e-05 1.2909458e-05 0.000120741395 1.2909458e-05 1.2150078e-05 1.1390698e-05 7.5937987e-06 8.353179e-06 9.1125585e-06 2.2022015e-05 2.2022015e-05 1.2909458e-05 0.004453763 8.1253645e-05 0.00013972589 0.0001055538 0.00013213209 0.00013061333 0.00030071443 0.00015491349 8.5050546e-05 4.0247134e-05 8.201302e-05 6.682543e-05 0.00010023814 8.8847446e-05 8.049427e-05 0.00017845427 0.007170065 0.0001131476 0.0019083216 0.00044347782 0.00088315876 0.00089910574 0.007911979 0.0038713184 0.0003736149 0.00014048528 7.290047e-05 5.695349e-05 0.0008148146 2.6578295e-05 5.2397212e-05 0.00014504156 0.008836904 0.0003128645 0.0019136373 0.0004039901 0.0019637563 0.00092872157 0.0067425338 0.0030018287 0.00018301055 0.00018301055 0.00014352279 0.00015795101 0.0008269647 9.340372e-05 0.00018604807 0.0005604223 0.0048767375 0.0003196989 0.0006021882 0.00039259938 0.0019766658 0.00070850144 0.002518863 0.0016706357 0.00013668838 0.0001055538 0.00011162884 6.834419e-05 0.00022933271 8.656931e-05 7.897551e-05 0.00011390698 0.005440957 0.00038044932 0.0009347966 0.00049131876 0.0017367017 0.0005315659 0.0022234642 0.0013228398 0.00039411813 0.00029388 0.00019592 0.00024679845 0.00038652433 0.00020579195 0.00026198605 0.0005049876 0.009381379 0.0009621343 0.0015119252 0.0011048977 0.0027360457 0.0015035721 0.0023859716 0.0017025296 0.0028461558 0.0009302403 0.00043588405 0.0005270096 0.00097200624 0.00049131876 0.00069559197 0.0013623275 0.0635768 0.011664075 0.017956296 0.008509611 0.020074207 0.019626172 0.008745018 0.011276791 0.043330975 0.011067202 0.0023783778 0.003768043 0.016687373 0.0072315745 0.009689687 0.0150243305 0.06299284 0.01631224 0.022905175 0.012052118 0.02565413 0.029514058 0.009160399 0.014935483 0.05039852 0.01340837 0.003192433 0.0044142753 0.023568114 0.0111347865 0.014752473 0.024640357 0.016354004 0.014539087 0.015653856 0.014671219 0.0138738705 0.016072275 0.014456314 0.0134706395 0.01437658 0.013851848 0.014691723 0.014586168 0.015326563 0.015274166 0.014328739 0.014864861 2958.0 13.184922 39001.0 0.066690594 0.0014102203 0.0013845799 0.0012307377 0.016435476 0.009179252 0.0013332991 0.004384503 0.0046152663 0.0028460808 0.0018973872 0.0013332991 0.0042819413 0.003410169 0.012999667 0.0012307377 0.007999795 0.0040768185 0.00417938 0.003333248 0.004051178 0.0025896772 0.0028460808 0.002153791 0.003564011 0.0039998973 0.005358837 0.0039229766 0.0024614753 0.0035383708 0.0016153431 0.0013332991 0.003333248 0.006410092 0.0031794056 0.0075639086 0.010589472 0.0056921616 0.0065895747 0.0057178023 0.0083844 0.0075382683 0.0024614753 0.0034358094 0.00833312 0.0049742316 0.004461424 0.0031794056 0.012974027 0.006358811 0.009410015 0.016486757 0.008102356 0.006538294 0.008640804 0.008256199 0.001743545 0.003205046 0.0014871414 0.003564011 0.0037947744 0.003974257 0.0048460294 0.021614831 0.002640958 0.03892208 0.007922874 0.020973822 0.024025025 0.06640855 0.012333017 0.018409785 0.011281762 0.040101536 0.004743468 0.007179303 0.030024871 0.016281635 0.04248609 0.04125535 0.021819953 0.0018717468 0.04107587 0.02712751 0.05143458 0.02299941 0.010025384 0.0070254607 0.0054870388 0.008230559 0.004589626 0.0010768955 0.0022050717 0.0010512552 0.0024871158 0.0019743084 5.7663665 10.0 1.0 0.0 3.0 659816.0 991232.0 0.0 0.0 148.0 0.0 1.0 0.0 0.0 0.0 1032978050.0 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 397312.0 4096.0 4096.0 6.0 0.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -503808.0 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 5.590401 0.0 0.0 -7.7783556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7849493 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.454655 0.0 5.874254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20048.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -391033.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -502710.0 0.0 7656.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 417952.0 7656.0 815104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 628.0 401408.0 0.0 0.0 0.0 0.0


Input: 0.060369678 0.0039570923 0.004032798 0.0042919456 0.0033747386 0.0042657396 0.0031476207 0.00345918 0.004044445 0.0036280625 0.003482474 0.0031272385 0.0036630037 0.0036193272 0.0037765626 0.0034533564 0.0036542683 0.0039687394 0.003255356 0.0029758266 0.003922151 0.0032582679 0.0035552683 0.0035232387 0.0034387975 0.003069003 0.0049936813 0.0030369735 0.0035377976 0.0028593559 0.0033019446 0.0033718268 0.0037823862 0.0040706513 0.00345918 0.0037765626 0.0028389734 0.004358916 0.0033863857 0.0034737387 0.0030369735 0.003269915 0.0035377976 0.0037998566 0.0035145036 0.0029525324 0.0034009446 0.0029350617 0.004149269 0.002908856 0.0031505325 0.0036688272 0.0030893853 0.0033601797 0.004312328 0.0030311502 0.0029612677 0.0031534443 0.0033630915 0.0039425334 0.0029787382 0.0038435333 0.0037037684 0.0028710028 0.005890506 0.004950005 0.0034300622 0.0029962088 0.004874299 0.012121689 0.0028011205 0.0048888577 0.0036833861 0.0043414454 0.0034504447 0.0029670913 0.003121415 0.00451324 0.0049063284 0.002958356 0.005197505 0.0042104158 0.0031476207 0.003671739 0.0039163274 0.0045394455 0.003671739 0.0029903853 0.004460828 0.0038115038 0.004024063 0.0034125918 0.0037270626 0.0037241508 0.0035261505 0.004006592 0.003645533 0.0039891214 0.0034679153 0.0030864736 0.0039570923 0.004714152 0.0035669154 0.00298165 0.0034242386 0.003345621 0.0037270626 0.003744533 0.0032233268 0.0035436212 0.0032262385 0.0037008566 0.003919239 0.002818591 0.0053023286 0.0035203272 0.0038551802 0.0034125918 0.0037620037 0.003368915 0.0039658276 0.0037241508 0.0034067682 0.0038872098 0.0029175912 0.0034679153 0.0037387097 0.003232062 0.0050315345 0.0036397094 0.003994945 0.0035348858 0.0031388856 0.0032640914 0.0034213269 0.005194593 0.0032611797 0.0052411817 0.0031476207 0.007401713 0.004201681 0.0036833861 0.0031476207 0.002879738 0.0035989447 0.0031883856 0.0048218872 0.0035785623 0.00355818 0.002993297 0.0034504447 0.0029175912 0.0029263264 0.0042045927 0.0033776504 0.0029874735 0.0030253266 0.002943797 0.0036979448 0.00350868 0.0030602678 0.0029962088 0.0028360616 0.0034242386 0.0033892975 0.0038027684 0.0032786503 0.003319415 0.0034271504 0.0034009446 0.0029234146 0.0028593559 0.003121415 0.0027982087 0.003671739 0.0036630037 0.0035115918 0.004021151 0.00288265 0.0037066801 0.003785298 0.0032087679 0.0029787382 0.0029787382 0.0036921212 0.004696681 0.0034853858 0.0031126796 0.004006592 0.0032873857 0.0035552683 0.0033165033 0.003960004 0.004024063 0.0033310622 0.0037387097 0.0029991206 0.0029175912 0.010325128 0.0042511807 0.0030340618 0.0030486207 0.0028710028 0.0038289744 0.0057158 0.0033543564 0.002894297 0.0043763868 0.004297769 0.0036251508 0.0027166791 0.0036921212 0.003849357 0.0032116796 0.0039832983 0.0029670913 0.003069003 0.0040997686 0.0043297983 0.002908856 0.0035290623 0.0030660913 0.003948357 0.0037736509 0.003205856 0.004600593 0.003447533 0.0039570923 0.003858092 0.0032932092 0.0030922971 0.0035931212 0.0049703876 0.0030631796 0.0028622677 0.003884298 0.004597681 0.0030107677 0.004813152 0.0029059441 0.003531974 0.0036426212 0.003531974 0.0036746508 0.0032786503 0.0033601797 0.0037183273 0.0038377098 0.0035698272 0.0039396216 0.0034358858 0.003333974 0.005025711 0.0030806502 0.0037008566 0.0062078885 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.052960973 0.052689057 0.052710984 0.052497543 0.050949372 0.054982807 0.051385023 0.05525765 0.053861514 0.051811904 0.049848545 0.05416267 0.051272456 0.054513533 0.054129045 0.051278304 1403.0 8.142551 11424.0 0.008315827 0.019695379 0.006390056 0.018907564 0.006039916 0.007177871 0.005777311 0.005952381 0.006915266 0.005952381 0.006214986 0.005252101 0.006302521 0.005689776 0.006915266 0.004639356 0.006127451 0.005777311 0.006652661 0.009016107 0.005602241 0.005514706 0.006302521 0.006740196 0.006477591 0.006915266 0.006915266 0.006302521 0.004639356 0.006652661 0.005689776 0.005252101 0.006565126 0.03422619 0.006127451 0.006740196 0.0642507 0.007090336 0.006477591 0.049982492 0.006302521 0.03527661 0.005952381 0.005339636 0.006477591 0.008228292 0.033963587 0.005952381 0.03632703 0.007177871 0.006127451 0.007090336 0.006127451 0.005427171 0.006565126 0.007352941 0.034838937 0.007002801 0.005864846 0.005689776 0.005339636 0.018382354 0.006214986 0.009716387 0.006127451 0.03580182 0.006652661 0.008053222 0.011467087 0.017244399 0.007265406 0.009278712 0.006302521 0.009891457 0.007002801 0.005864846 0.010066527 0.009628852 0.010504202 0.010066527 0.019607844 0.005339636 0.022934174 0.009716387 0.013130252 0.007002801 0.005602241 0.006039916 0.006302521 0.006039916 0.006214986 0.005514706 0.005602241 0.006390056 0.006390056 0.006039916 6.151923 0.0 0.0 0.0 9.0 343434.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 4096.0 4096.0 4.0 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 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 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 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 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 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 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 2.0 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 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.056632806 0.008291135 0.0061658393 0.005654692 0.0057488508 0.004952124 0.004205063 0.005420848 0.005053526 0.0056298594 0.003754964 0.0044647753 0.004958332 0.0031713874 0.0043178466 0.00464378 0.0050328313 0.0037715193 0.004934534 0.00416264 0.0043540616 0.0031744915 0.0041036615 0.0038542962 0.005062838 0.0033524616 0.003162075 0.0029385774 0.004151258 0.0034352385 0.00378704 0.0037880747 0.0061689434 0.0038273938 0.0034880086 0.0030275625 0.0048972843 0.0041543623 0.003836706 0.0037270267 0.0047182795 0.0038998234 0.0033379758 0.003101027 0.0043685474 0.0037166798 0.003722888 0.0035842368 0.005509833 0.003944316 0.00310827 0.0029075362 0.0036773607 0.0030699857 0.0026861082 0.0028640784 0.0041698827 0.0033141775 0.0035221542 0.0033576353 0.0040043294 0.003218984 0.0035076682 0.0034559327 0.006595244 0.0039453506 0.0036245906 0.0032179493 0.004165744 0.0032169146 0.003537675 0.0030658469 0.004997651 0.003772554 0.003701159 0.003587341 0.004126425 0.0031310336 0.0035583691 0.003465245 0.0051704478 0.0036276947 0.0036494236 0.003344184 0.003937073 0.0033866072 0.0033638435 0.003533536 0.0046458496 0.0036421807 0.0038077342 0.0035118072 0.004111939 0.003383503 0.0036918467 0.00378704 0.0059071616 0.0036256253 0.00334108 0.0029499594 0.0039960514 0.0030534305 0.0032624418 0.0030317015 0.0049790265 0.0031610404 0.0031993245 0.0030523958 0.003576994 0.0028351066 0.0030751594 0.0031951857 0.0045071985 0.0032883096 0.0032293312 0.0031455196 0.003890511 0.0033359064 0.0032924486 0.003629764 0.004624121 0.0032914137 0.0034880086 0.0031662139 0.0040426133 0.0031951857 0.0034683493 0.0033462534 0.00864604 0.004595149 0.004012607 0.0035242236 0.0043675127 0.003433169 0.0030234237 0.0033814337 0.0045423787 0.003833602 0.0029561676 0.0031889775 0.0037249574 0.0027988916 0.0028516618 0.0029810006 0.0052273567 0.003211741 0.0034931824 0.0030265278 0.0036680484 0.003186908 0.003307969 0.0032634765 0.0045465175 0.0028413148 0.0030461873 0.0027036984 0.0035211195 0.0032386435 0.002987209 0.0031486237 0.005010068 0.0034104055 0.0032758932 0.0027957875 0.0037756583 0.0030068683 0.003051361 0.0031817344 0.004132633 0.0030058336 0.0031237907 0.0030161808 0.0036473542 0.0028413148 0.0029220222 0.0030275625 0.0046572313 0.0031237907 0.0038470533 0.0028537312 0.003568716 0.0031486237 0.0029934172 0.0031268948 0.0042536943 0.0031496584 0.003329698 0.0031817344 0.0036463195 0.003194151 0.0033369411 0.0033421146 0.0067194095 0.004066412 0.003725992 0.003344184 0.00412539 0.003258303 0.0033090038 0.0032148452 0.0043188813 0.0033338368 0.0031103394 0.0030886105 0.00366184 0.0029789312 0.0030782635 0.0028030304 0.004244382 0.003280032 0.0030855064 0.0030016948 0.0037177145 0.003019285 0.0029292651 0.0029447859 0.0039815656 0.0031124088 0.0027306008 0.0026426504 0.0035325014 0.0029458206 0.003575959 0.0028785644 0.0049531586 0.0032365741 0.00339385 0.0029841047 0.003811873 0.0030741247 0.0032024286 0.0029178832 0.004442012 0.005452924 0.003465245 0.0031289642 0.0037860053 0.003086541 0.003255199 0.0031920816 0.004616878 0.003322455 0.0034279956 0.0030461873 0.0037322005 0.0030906799 0.0033183163 0.0032386435 0.004350957 0.0030327362 0.0031900122 0.0028682172 0.004012607 0.0030999924 0.004226792 0.0045113373 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09919781 0.062022086 0.062457494 0.055319883 0.060587823 0.05956565 0.05491609 0.054489493 0.06045357 0.053168748 0.05212221 0.052959856 0.05643225 0.050557844 0.05668676 0.05386074 4026.0 5.7031794 22961.0 0.017246636 0.010408955 0.009407256 0.008710422 0.013457602 0.012412352 0.011802622 0.011454205 0.012543008 0.009755673 0.008536214 0.008579765 0.013893123 0.010626715 0.011715517 0.010060538 0.01672401 0.011933278 0.008710422 0.007534515 0.009842777 0.008492662 0.00783938 0.008318453 0.010234746 0.008405557 0.009581464 0.00888463 0.011541309 0.008928183 0.009625017 0.009189495 0.017987022 0.010844476 0.010408955 0.009015286 0.010888028 0.008841079 0.010670267 0.008274901 0.0141979875 0.011628414 0.0097121205 0.008928183 0.011410653 0.009320152 0.011671966 0.009537912 0.014807718 0.009668568 0.010016985 0.009058839 0.012107487 0.00949436 0.009537912 0.009799224 0.013675363 0.009189495 0.0104960585 0.009537912 0.01114934 0.009799224 0.010452506 0.010670267 0.01794347 0.011018684 0.009668568 0.008187797 0.013065633 0.008231348 0.009407256 0.008362005 0.015417447 0.0092766 0.008928183 0.00866687 0.011323549 0.008013588 0.009886329 0.00783938 0.013152737 0.007970036 0.00866687 0.00888463 0.011541309 0.009407256 0.008362005 0.008013588 0.011062236 0.00888463 0.012020382 0.008449109 0.0113671 0.009015286 0.010016985 0.008753974 6.5546527 0.0 0.0 0.0 14.0 966454.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.18179855 0.0039167246 0.0033814416 0.0034096427 0.003632834 0.0033484062 0.0030618296 0.0031292436 0.0035826094 0.0030078448 0.0030529664 0.0030766015 0.00329657 0.0031144717 0.0030118735 0.0037195857 0.0034848456 0.003056995 0.0030124106 0.0030013989 0.0032350647 0.0031934346 0.002967826 0.0029541284 0.003203372 0.0030400746 0.0030419545 0.0029925355 0.0030024732 0.0029941471 0.0030013989 0.002992267 0.0033258453 0.003030137 0.003064784 0.0030451776 0.003934451 0.0030067705 0.0030134849 0.0030505492 0.0031370325 0.0029866267 0.0030110676 0.0032863638 0.0030645155 0.0031260205 0.0031287065 0.0032267387 0.0034378439 0.003495589 0.0033809044 0.0035828778 0.0033387372 0.0034085684 0.0033357828 0.003268906 0.0034547644 0.0033873504 0.0030204682 0.0032082065 0.003066127 0.0030438346 0.0029788378 0.0030663954 0.0033287997 0.0035291614 0.0034644334 0.00349156 0.0036449202 0.0038439392 0.0034630904 0.00341206 0.004405543 0.003356195 0.0032525226 0.0033226223 0.0035168068 0.003471685 0.0033282626 0.003288244 0.0037351635 0.0033661325 0.0033964822 0.0035130465 0.0034577188 0.0034219974 0.0035369503 0.0035004234 0.00337231 0.0033467948 0.0032895869 0.0030548465 0.0032063264 0.0031176945 0.0031026541 0.0032031036 0.0030736472 0.0034292492 0.003361298 0.0034520787 0.003464702 0.0035678372 0.0037453696 0.0033040901 0.0034399924 0.0034622848 0.0035578997 0.003239362 0.0033878877 0.0033604924 0.003450467 0.0034700735 0.003403734 0.0032439278 0.0035033778 0.0034429468 0.0040034764 0.0038017717 0.003306239 0.0033110734 0.0033449146 0.0032589685 0.0032398992 0.003000056 0.0031074884 0.0031219919 0.0031048027 0.0030107992 0.003196926 0.0031166202 0.002976152 0.0038399103 0.0035305044 0.0034644334 0.0031348837 0.003057801 0.0032280816 0.0038885237 0.0030594124 0.0047383155 0.0030599495 0.0035740146 0.0030475948 0.0029941471 0.0031389126 0.0030183194 0.002990924 0.0030067705 0.0029981758 0.002985284 0.003047326 0.002974272 0.002909544 0.0029863582 0.0030094562 0.0030132164 0.00303524 0.0030065018 0.0030545779 0.0030266454 0.0030253024 0.0030255711 0.0030220796 0.0030279884 0.0030459834 0.0030212738 0.0030105305 0.0029946843 0.0030255711 0.002977495 0.0029885068 0.0030073076 0.0029766893 0.0029731977 0.002992267 0.0029135726 0.0030701556 0.003009725 0.0029624545 0.0030212738 0.0029928042 0.0029866267 0.0030682755 0.00303148 0.0032009548 0.0030776758 0.003048132 0.00303524 0.0030124106 0.0030285255 0.0030774074 0.003048669 0.003537219 0.0032036407 0.0031244091 0.0032441965 0.0031201118 0.0029758834 0.0034792053 0.0032839465 0.0031158144 0.00310722 0.0030811676 0.0030454462 0.0031531474 0.0029866267 0.003039806 0.003049475 0.00306747 0.0030124106 0.0030545779 0.003068007 0.0029933413 0.0030121421 0.0030355086 0.0030196623 0.0030919109 0.0030008615 0.002985284 0.003049475 0.0030505492 0.002940162 0.003005696 0.0030191252 0.0031139345 0.0030169764 0.0029791065 0.00299925 0.0030435661 0.002948488 0.0029941471 0.0030419545 0.0038372246 0.0031082942 0.0030484006 0.0032635343 0.003215727 0.0029334477 0.0030277197 0.0031010425 0.003187257 0.0030210053 0.0030287942 0.003100774 0.0030381945 0.0029928042 0.0030629039 0.003056458 0.003229693 0.0030516235 0.0030518922 0.003007576 0.00314697 0.0030215424 0.0031614734 0.0050638365 0.16092676 0.0 9.40294e-07 2.6865544e-07 1.3432772e-06 1.6119326e-06 2.1492435e-06 2.2835711e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016921263 2.0820797e-05 2.417899e-05 1.061189e-05 1.9343192e-05 2.592525e-05 6.662655e-05 3.250731e-05 2.820882e-06 3.358193e-06 2.6865544e-06 5.238781e-06 6.985041e-06 2.2835711e-06 3.2238652e-06 6.985041e-06 0.00093424926 1.1820839e-05 2.2701384e-05 5.9104195e-06 1.4910376e-05 1.0477562e-05 1.5984999e-05 1.3432772e-05 2.3238696e-05 1.35671e-05 6.3134025e-06 4.298487e-06 4.432815e-06 8.462646e-06 3.358193e-06 7.253697e-06 0.00044314715 5.3731087e-06 5.3731087e-06 1.3432772e-05 7.522352e-06 6.3134025e-06 1.2626805e-05 8.999957e-06 6.3134025e-06 2.6865544e-06 2.6865544e-05 2.5522265e-06 2.1492435e-06 2.417899e-06 1.3432772e-06 3.0895376e-06 0.0008185931 3.2641634e-05 2.9820752e-05 1.8671553e-05 1.1686511e-05 2.3104367e-05 2.7402853e-05 2.3238696e-05 4.285054e-05 1.5582014e-05 7.65668e-06 1.880588e-06 1.1417856e-05 4.9701257e-06 8.059663e-06 2.2835711e-05 0.00087930926 7.791007e-06 5.829823e-05 2.8746132e-05 3.4387896e-05 2.2567056e-05 0.0001769096 0.00010047713 1.5179032e-05 6.582058e-06 9.671596e-06 1.6790964e-05 6.4477304e-06 5.238781e-06 2.5522265e-06 4.5671422e-06 0.0006205941 3.8552054e-05 2.47163e-05 6.179075e-06 5.870121e-05 3.707445e-05 0.00014131276 7.522352e-05 2.592525e-05 4.9701257e-06 1.0880545e-05 1.9880503e-05 1.2626805e-05 7.791007e-06 1.2089495e-05 3.8955036e-06 0.0042765914 0.00015447687 0.00048613202 0.0019399609 0.0023046606 0.0017197977 0.0027604345 0.0018928119 7.576083e-05 4.755201e-05 6.111911e-05 5.5746e-05 5.6148987e-05 5.4940036e-05 3.0358064e-05 3.9492348e-05 0.0017075739 0.00010047713 0.0004948633 0.0013252773 0.0020857065 0.0015402016 0.0019779757 0.0014661871 0.0003281626 5.2790794e-05 4.123861e-05 6.326835e-05 0.00020377514 4.876096e-05 4.6343062e-05 7.1731e-05 0.0011857108 5.4402724e-05 0.00024152124 0.00019329759 0.00040150553 0.0002442078 0.00027967032 0.00021290944 0.00026878976 3.694012e-05 4.8492304e-05 3.9492348e-05 0.00020444678 3.519386e-05 5.2790794e-05 7.696978e-05 0.001066965 9.026822e-05 0.00012170091 0.00012855162 0.00024608837 0.00019786472 0.0003213119 0.00013217848 0.00031284924 2.5656595e-05 2.0686468e-05 3.82834e-05 0.00016764099 9.335776e-05 0.00013728293 0.00020055128 0.0063699544 0.0008470706 0.00088226446 0.0008547273 0.0023645707 0.0014605452 0.0007193249 0.0011349348 0.0034995056 0.0003523416 0.0003465655 0.000638191 0.0016284549 0.0005233408 0.0012235912 0.0019139013 0.003004105 0.0006815788 0.0005485944 0.0005554451 0.0012556955 0.001004234 0.0005468481 0.00077963807 0.0019124238 0.00021290944 0.00026758082 0.0002879986 0.0009706521 0.0003178194 0.0007824589 0.0014524856 0.047436222 0.047138955 0.047508623 0.04740452 0.04732634 0.047338698 0.04772852 0.04734246 0.047407877 0.047438774 0.0471904 0.047510505 0.047282416 0.047314655 0.047382623 0.047432728 13991.0 10.392037 145395.0 0.006389491 0.0055435193 0.005522886 0.00528904 0.0060180887 0.005708587 0.0055297636 0.005433474 0.0053784517 0.005220262 0.005584786 0.011919254 0.005598542 0.005282162 0.0063551017 0.011912377 0.0120912 0.012132467 0.012421335 0.012558891 0.011939888 0.011795454 0.011946766 0.011974277 0.012765226 0.012944049 0.005550397 0.0054609855 0.005137728 0.005034561 0.005103339 0.0055366415 0.00566732 0.014505313 0.012297534 0.0133085735 0.012785859 0.013322329 0.012964683 0.012710203 0.013171017 0.012675814 0.0121049555 0.012572647 0.013556175 0.012221878 0.012717081 0.012854638 0.01268957 0.012524502 0.013734998 0.013494275 0.013177895 0.012902782 0.012978438 0.012882149 0.012682692 0.012407579 0.0126689365 0.0054678633 0.0055435193 0.005853021 0.0057292203 0.008631659 0.005371574 0.013501152 0.011822965 0.013054094 0.013817532 0.014746036 0.012648303 0.01300595 0.012696448 0.013473641 0.013033461 0.011595997 0.0133842295 0.012813371 0.013927577 0.013693731 0.012503869 0.011822965 0.0141407885 0.013769387 0.014491557 0.012620792 0.012655181 0.012263145 0.012084322 0.012806493 0.011939888 0.005440352 0.005213384 0.0051927506 0.005399085 0.005185873 6.496105 5.0 1.0 0.0 77.0 3723264.0 6729728.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1290243800.0 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 36864.0 4096.0 4096.0 4.0 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 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 -159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 3518464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.101631 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1003146 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.250792 0.0 7.2550445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3164316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35786.0 0.0 3515476.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 41440.0 3515476.0 3211264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 392.0 40960.0 0.0 0.0 0.0 0.0


Input: 0.059438486 0.0046301787 0.003503247 0.0034305416 0.0035893451 0.0032315587 0.0032219922 0.0034286282 0.004098282 0.0030325758 0.0030000499 0.0026939223 0.0033540097 0.0026326966 0.0028584658 0.029193087 0.003426715 0.002577211 0.0025159856 0.0023629218 0.0026556563 0.0028374195 0.0024432803 0.028668843 0.0027073154 0.002544685 0.029018976 0.0024069278 0.0024509334 0.0037978946 0.002408841 0.0027302748 0.0035893451 0.002422234 0.003195206 0.0025198122 0.029114641 0.0023686618 0.0023877947 0.0024031012 0.0027819339 0.002506419 0.002414581 0.0026135638 0.0025619047 0.0026403498 0.0027264482 0.0025906041 0.0025791244 0.0025580782 0.0024490203 0.002846986 0.0024796329 0.0024815463 0.0024528468 0.002370575 0.0024126675 0.002550425 0.0025140722 0.002737928 0.0025657313 0.002550425 0.0024337138 0.0024069278 0.0019228635 0.0017353604 0.027166905 0.0012589494 0.0011154521 0.0018195455 0.0011843309 0.0011632846 0.00082271773 0.0010408335 0.0008456773 0.0008877698 0.001771713 0.0012799957 0.0009375155 0.0009910879 0.0014024468 0.0010657065 0.0010121341 0.0012072905 0.0009949144 0.0012245101 0.0011996372 0.001191984 0.0009700416 0.001333568 0.00086289697 0.027272135 0.0009834347 0.0012225969 0.0010618798 0.0010714463 0.0010523134 0.0013660941 0.0012608627 0.027737066 0.0013584408 0.0018444184 0.0011135389 0.0009202959 0.0013106085 0.0012838223 0.0016071695 0.0009011629 0.0013182616 0.02747112 0.0014923717 0.0015593371 0.0012149436 0.00088202994 0.0015765567 0.001268516 0.0024011878 0.002131413 0.0011518048 0.0009681283 0.0010465735 0.0010159607 0.000998741 0.0010599665 0.001037007 0.0012474697 0.0010102208 0.0011154521 0.001597603 0.0011288453 0.0011613712 0.0022002915 0.0016530886 0.0017487535 0.0010140474 0.0010963192 0.0012168569 0.0019802623 0.0011231054 0.003652484 0.0010102208 0.00140436 0.0009700416 0.0010924926 0.02741946 0.0008590704 0.0010561399 0.0010790995 0.00081123796 0.0011881575 0.0009604751 0.0008361108 0.00093942886 0.00095090864 0.00089924963 0.00082271773 0.0008533305 0.0011766776 0.00075001246 0.000979608 0.0010389203 0.0009088161 0.0009222092 0.00093368895 0.00094325544 0.0012092037 0.0008858565 0.0008973363 0.0007748853 0.0009030762 0.0008590704 0.00079401827 0.0017659732 0.000792105 0.0011288453 0.000824631 0.0012876489 0.0017104875 0.00094134215 0.0009107294 0.00095090864 0.0022959565 0.0011537181 0.0009681283 0.0011958106 0.027212823 0.0011020591 0.0009528219 0.00095856184 0.00088011666 0.0009126427 0.0008418507 0.0016224759 0.0012570361 0.0010733596 0.0013775738 0.027423287 0.00093368895 0.027620357 0.0013316547 0.001023614 0.0019726092 0.0010848395 0.00097578147 0.0018425051 0.0009375155 0.001069533 0.027235784 0.001088666 0.0009623884 0.0009949144 0.0010542267 0.027455812 0.00092603575 0.0010599665 0.027319968 0.0010446602 0.00087055017 0.00097578147 0.0009700416 0.0010733596 0.00087246345 0.00086481025 0.00092603575 0.0010676198 0.0009700416 0.0014445393 0.027293183 0.0014847185 0.027539998 0.028877392 0.000914556 0.0024126675 0.0010618798 0.0011250187 0.0013584408 0.0013393079 0.0010963192 0.00123025 0.0016052562 0.0016014297 0.0013354813 0.002672876 0.027708368 0.0014961982 0.0014981115 0.0020223549 0.001997482 0.0022959565 0.0017564066 0.001790846 0.0017793663 0.0022079449 0.0017143141 0.0031320672 0.027578263 0.015657617 9.592952e-07 2.8778857e-06 0.0 1.9185904e-06 0.0 0.0 0.0 0.0 0.0 0.0 2.8778857e-06 0.0 0.0 0.0 5.0842646e-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 0.0002561318 3.0697447e-05 2.398238e-05 0.0 2.8778857e-06 4.796476e-06 6.7150663e-06 5.7557713e-06 2.8778857e-06 7.674362e-06 2.2063788e-05 2.4941675e-05 8.8255154e-05 2.1104493e-05 3.8371807e-05 0.003393027 0.00494037 9.401093e-05 0.00010744106 1.4389428e-05 0.00013238273 4.604617e-05 8.921445e-05 8.0580794e-05 0.00013717922 5.7557713e-06 2.398238e-05 4.796476e-06 7.674362e-06 1.9185904e-05 2.1104493e-05 0.00016979525 0.0032069238 3.5493922e-05 6.6191365e-05 3.9331102e-05 6.3313484e-05 3.0697447e-05 5.180194e-05 5.4679826e-05 0.00014965005 1.5348724e-05 3.5493922e-05 7.1947135e-05 1.1511543e-05 2.4941675e-05 2.2063788e-05 4.988335e-05 0.0021018158 9.497022e-05 0.00020528917 2.781956e-05 0.00019377763 3.3575332e-05 7.6743614e-05 4.8924056e-05 3.3575332e-05 1.6308019e-05 3.0697447e-05 0.00013238273 0.0003990668 7.6743614e-05 0.00012183049 0.004265026 0.032261096 0.024817925 0.02515368 0.024769003 0.00053336815 0.00024653887 0.0010609805 0.0005832515 0.0001793882 0.00012662697 0.00011223754 0.00034822416 9.0173744e-05 8.537727e-05 0.00028395138 0.0032970975 0.00796311 0.00094490574 0.0010015041 0.0006830182 0.00048252547 0.00014677216 0.00096313236 0.0008029301 0.00044990945 0.00010935965 0.00023310873 0.0011444392 0.0005420018 0.00031177094 0.0010935966 0.0067035547 0.0040021795 0.00017746961 0.0003626136 0.00014005709 0.0005765364 0.00020337058 0.0012902521 0.00078854064 0.00029066644 0.00014005709 0.00022735295 0.0006782217 0.0002772363 0.0001390978 0.0007847035 0.0036741006 0.0028846005 0.0004969149 0.00016595807 4.796476e-05 9.97667e-05 0.00018514397 0.00014197569 0.00034438696 0.0007607211 0.0003204046 0.00024462029 0.00078854064 0.00055255403 0.00053336815 0.0010101378 0.0051753977 0.0069366633 0.00076455827 0.00094490574 0.00058229215 0.0010427539 0.00069452974 0.0014351056 0.001407286 0.0017564695 0.0012288571 0.0007904592 0.0008959817 0.0012106305 0.00058996654 0.0017238534 0.007465235 0.0027445436 0.0004748511 0.0004374386 0.00018034749 0.00024270169 0.0004182527 0.00060531526 0.0004383979 0.0010350795 0.00050842646 0.0009621731 0.000812523 0.00046238027 0.00036069498 0.0010485096 0.0030208204 0.031382382 0.048559524 0.024581939 0.0010955151 0.025988266 0.025513414 0.04830435 0.0021008565 0.0044981353 0.023795318 0.00037700302 0.023935374 0.07240568 0.04732395 0.07211502 0.027394593 0.005350949 0.0014120825 0.0010513875 0.0009468243 0.0018207423 0.0018437654 0.0013334203 0.0014581287 0.0027119275 0.00041153762 0.0003156081 0.00056598417 0.0022591401 0.0010456317 0.0019176311 0.0030601516 0.014854686 0.01778821 0.014804803 0.011870319 0.014772187 0.014723263 0.018293759 0.011999823 0.012037236 0.014914162 0.012176334 0.01489018 0.020597987 0.018015563 0.020789845 0.015015848 1571.0 7.7211967 12130.0 0.029760923 0.01409728 0.01450948 0.01797197 0.0215169 0.0143446 0.01409728 0.015910964 0.01821929 0.015910964 0.017230008 0.015416323 0.01450948 0.015910964 0.017065128 0.016240725 0.014427041 0.014014839 0.017230008 0.015086562 0.016735367 0.014839241 0.014591921 0.014921682 0.01747733 0.01747733 0.015498763 0.015910964 0.01764221 0.016405607 0.015663644 0.016817806 0.0026380874 0.0062654577 0.0028029678 0.005358615 0.0042044516 0.0060181366 0.0046990933 0.009233306 0.0033800495 0.005028854 0.002473207 0.0031327289 0.0042044516 0.0044517727 0.0030502887 0.0065952186 0.0077493815 0.00708986 0.004286892 0.0069249794 0.003957131 0.0033800495 0.0037098103 0.0066776588 0.0018961253 0.0027205276 0.0026380874 0.0028029678 0.0020610057 0.0031327289 0.0033800495 0.004946414 0.0048639737 0.018961253 0.013190437 0.015498763 0.012530915 0.03536686 0.0041220114 0.0051112943 0.0047815335 0.016075846 0.004286892 0.0027205276 0.015581204 0.012118714 0.01739489 0.02126958 0.011129431 0.0031327289 0.023907667 0.0133553175 0.02819456 0.011129431 0.00708986 0.004286892 0.0052761748 0.0059356964 0.0029678482 0.0018961253 0.0016488046 0.0031327289 0.0023083265 0.0023907667 6.243555 0.0 0.0 0.0 8.0 522658.0 643072.0 0.0 1.0 95.0 1.0 1.0 0.0 0.0 0.0 1529959300.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 93184.0 1024.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -459264.0 0.0 52736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.205673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.854474 0.0 5.3635902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -461575.0 0.0 52280.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 71.0 96960.0 100.0 94644.0 52280.0 212992.0 0.0 0.0 0.0 0.0 2160.0 266240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 12936.0 0.0 0.0 396.0 4096.0 0.0 0.0 0.0 0.0