Input: 0.3870657 0.0067072217 0.005103868 0.003925837 0.0056131356 0.0029017057 0.002258126 0.0023000985 0.007882454 0.001533399 0.0017628492 0.0018747761 0.004986345 0.0015781698 0.0012339945 0.0054200618 0.0053836857 0.001323536 0.0015893625 0.0013011507 0.0032178992 0.0028065678 0.0014130776 0.0011164711 0.0023672546 0.0012507834 0.00091500266 0.0015250045 0.0019950976 0.0010772968 0.0011416547 0.0013850958 0.0039342316 0.0010912876 0.0011836273 0.0012703707 0.008509245 0.0011668383 0.0009178009 0.0010409205 0.0016033533 0.0008142684 0.0009122045 0.00212941 0.0013543159 0.0010605077 0.0011976182 0.0010577096 0.0018411981 0.0011556456 0.0010717004 0.0051234555 0.0013627104 0.0013459214 0.0009233972 0.0009122045 0.0016733076 0.0020426665 0.0009877553 0.0033102392 0.0014522519 0.0014550502 0.0009010118 0.0012004164 0.0048072618 0.0031927158 0.009004522 0.0036907906 0.0057222643 0.006746396 0.0028849167 0.0017068858 0.0019307396 0.0014494538 0.0010101406 0.0010241314 0.002148997 0.0036404235 0.0016649131 0.0011696365 0.006119605 0.003164734 0.0022665204 0.0037635432 0.002291704 0.0035117075 0.004202856 0.0033885879 0.0013990867 0.0028653296 0.0010213333 0.001499821 0.0021713825 0.003452946 0.0026414758 0.0019615195 0.0015529862 0.002761797 0.0012479853 0.0022945022 0.0024511998 0.004454692 0.0020062902 0.0015893625 0.0028009715 0.002339273 0.004216847 0.0010968839 0.0025883103 0.0016984913 0.0023476675 0.0031507432 0.0029492746 0.001049315 0.0030751924 0.0025099616 0.008912182 0.009824387 0.0019167487 0.0013011507 0.0017516565 0.0012983524 0.0009317917 0.001001746 0.001597757 0.0028065678 0.0017544547 0.0015837661 0.0031899177 0.0019027579 0.0009122045 0.00833296 0.002453998 0.007196902 0.0009457826 0.00092619535 0.0029408801 0.006987039 0.0014606465 0.021694237 0.0012144073 0.006175569 0.00096257165 0.0009317917 0.0015753716 0.0009066082 0.0009345899 0.0013459214 0.0012339945 0.0011668383 0.00079188304 0.00085624104 0.0012004164 0.0010577096 0.0008842228 0.00092619535 0.0011052785 0.0012172054 0.00083385565 0.00119482 0.0011584437 0.0013095451 0.0007331214 0.0011500493 0.0010465168 0.001695693 0.0007443141 0.000839452 0.0011808291 0.0009066082 0.00080587395 0.0008814246 0.00094858074 0.0010073424 0.00078069034 0.00084504834 0.0011920219 0.00073032326 0.0009905534 0.00086743373 0.0010689022 0.0011808291 0.0019615195 0.0012004164 0.0021434007 0.0011052785 0.0012815634 0.00092619535 0.0015138118 0.0011808291 0.0014186739 0.0011892237 0.005601943 0.0029268893 0.0031199632 0.0039006537 0.002633081 0.001001746 0.0057558427 0.00297166 0.0021937678 0.0018383999 0.001113673 0.001113673 0.0037971213 0.0009821588 0.0015865642 0.0011080767 0.00235886 0.0013431233 0.0015753716 0.001275967 0.0012116091 0.0010129388 0.001404683 0.001259178 0.0017628492 0.0010549114 0.0010381223 0.0013739031 0.0015110136 0.0008926173 0.0010689022 0.00087582826 0.002291704 0.000984957 0.0009122045 0.00091500266 0.0019475287 0.0012311962 0.0010269296 0.0014746373 0.010694618 0.0022973004 0.00093738805 0.003452946 0.004163682 0.0011612419 0.0009653698 0.0009989479 0.0031731285 0.0016425278 0.0017124821 0.0017236748 0.0017348675 0.00087582826 0.0028541368 0.0017796382 0.0032346884 0.0014298665 0.0011332602 0.0017180784 0.004130104 0.0030639998 0.0032206976 0.038670756 0.28448275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023628322 4.209321e-06 8.839574e-05 7.015535e-06 8.418642e-06 3.2271462e-05 9.82175e-06 8.2783314e-05 0.00013048896 2.5255928e-05 2.806214e-06 2.1046606e-05 1.403107e-06 2.806214e-06 2.2449713e-05 7.155846e-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 0.0065202382 0.00023712509 0.00021748159 9.96206e-05 0.000380242 0.00020204742 0.00029605557 0.00025536548 6.03336e-05 3.367457e-05 5.4721175e-05 4.770564e-05 3.0868356e-05 5.7527388e-05 3.367457e-05 9.400817e-05 0.02069583 0.00028623384 0.00056966144 0.0005584366 0.0024091348 0.0003816451 0.0011224856 0.00056825834 0.00036480784 0.000996206 0.00033113325 0.00019643498 0.00019503188 0.0004812657 0.00019783809 0.002254793 0.0033604414 7.155846e-05 5.191496e-05 5.8930495e-05 0.0005528242 2.5255928e-05 4.349632e-05 5.612428e-05 0.00022449713 9.400817e-05 5.612428e-05 4.630253e-05 6.734914e-05 0.00013610139 3.6480782e-05 0.00086571707 0.0072919475 0.00024414062 0.00042654455 0.00016416352 0.0015097432 0.0007155846 0.003040533 0.0018128143 0.00034656745 0.00016556663 0.00010382992 0.00030868355 0.00019503188 0.00017538838 0.0001192641 0.00062157644 0.012821592 0.00040830416 0.0015504332 0.0008601046 0.0032004872 0.0013161144 0.0072638853 0.0039890334 0.0004952968 0.00029044316 0.00026097792 0.00032832703 0.000419529 0.0003760327 0.00041111038 0.00049108744 0.01109998 0.0005598397 0.00079275545 0.000615964 0.0024764838 0.000983578 0.0028651445 0.0017468682 0.0008755388 0.00044478494 0.00044618803 0.0013652232 0.0011940441 0.000419529 0.00039286996 0.0024568404 0.00390625 0.00034656745 0.00031008665 0.00031710218 0.0008404611 0.00037182338 0.0008404611 0.00071137527 0.0016290073 0.0002581717 0.00029324938 0.00039006377 0.0005963205 0.00034656745 0.00058930495 0.002621004 0.04120224 0.007798469 0.0067587667 0.006549704 0.013909 0.015119881 0.0055998 0.011874495 0.026384024 0.0024568404 0.0022632116 0.0042233523 0.012987159 0.0039932425 0.011913782 0.028115459 0.037993334 0.009128614 0.009166499 0.008612271 0.01772545 0.017592156 0.0063406406 0.013067136 0.028266994 0.0021958626 0.002751493 0.0032032933 0.016608577 0.005568932 0.012055496 0.025240492 0.010281968 0.010646776 0.009318034 0.008934986 0.008856412 0.009036009 0.011083143 0.010064486 0.00956919 0.010197782 0.009473778 0.009797896 0.009367143 0.009444313 0.009695469 0.009405026 1180.0 11.728813 13840.0 0.027601156 0.0015895953 0.0015895953 0.0018063583 0.008742775 0.0039739884 0.0018786127 0.004118497 0.0044797687 0.0011560693 0.0014450867 0.0031791907 0.0033959537 0.0031069363 0.009248555 0.003251445 0.0065751444 0.0044797687 0.0046242774 0.005419075 0.0036127167 0.0018786127 0.0031791907 0.002601156 0.0027456647 0.0033959537 0.0015895953 0.001950867 0.0025289017 0.001734104 0.0011560693 0.0063583814 0.0149566475 0.020447977 0.004118497 0.01849711 0.0101878615 0.010982659 0.006936416 0.009248555 0.006286127 0.009176301 0.001950867 0.0025289017 0.01033237 0.008309249 0.004768786 0.006069364 0.017052023 0.007369942 0.009682081 0.02716763 0.0097543355 0.005852601 0.017124277 0.016112717 0.003468208 0.002817919 0.0020231213 0.0038294797 0.008309249 0.005635838 0.0064306357 0.00867052 0.0054913294 0.033598267 0.009248555 0.029913295 0.019942196 0.07102601 0.008598266 0.010476879 0.009465318 0.033020232 0.0057803467 0.0044075144 0.031430636 0.012283237 0.03381503 0.04450867 0.01734104 0.001734104 0.04219653 0.027456647 0.056358382 0.017774567 0.0076589594 0.006719653 0.010260115 0.008815029 0.0022398843 0.001083815 0.0022398843 0.0010115607 0.001734104 0.0018786127 5.8608747 0.0 0.0 0.0 5.0 357376.0 389120.0 0.0 0.0 247.0 1.0 1.0 0.0 0.0 0.0 1540248600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 147456.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30208.0 0.0 0.0 -57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -147456.0 0.0 81408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.130337 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8531702 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6821094 0.0 0.73412013 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28474.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30020.0 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 -29460.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -147227.0 0.0 81356.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 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 -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 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 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 -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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -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 -1.0 1.0 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 1.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 176308.0 81356.0 217088.0 0.0 0.0 0.0 0.0 8936.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 166280.0 0.0 0.0 1020.0 151552.0 64.0 176172.0 0.0 0.0


Input: 0.21468002 0.014499521 0.008405468 0.0051865033 0.0074275224 0.0035213123 0.0033374727 0.0035197928 0.008544234 0.008768589 0.012734054 0.012503621 0.010932122 0.0035349862 0.0017355871 0.004755012 0.011625952 0.002091618 0.0013785433 0.0014393168 0.002691249 0.0026375656 0.0016099887 0.0012742156 0.0024289102 0.0013390406 0.00111975 0.0010751828 0.0019599423 0.0015649151 0.001482871 0.0012230647 0.017407529 0.0010863246 0.0017452096 0.0009951645 0.005871217 0.0010316285 0.0011410207 0.0010756892 0.0017122906 0.0009662971 0.0009212235 0.001280293 0.0017477417 0.002708468 0.0040571312 0.001109621 0.005813482 0.0041857683 0.0037061647 0.006137607 0.0037608608 0.003406349 0.0028082377 0.0029956223 0.004148291 0.004150317 0.0020141318 0.0037284482 0.0018632113 0.0023701626 0.0017112778 0.0015563056 0.0036489363 0.0059183165 0.0033440564 0.0044070845 0.00788383 0.008634381 0.004504322 0.002653772 0.0024030816 0.0037795992 0.0010189674 0.0009769325 0.0031115983 0.003347095 0.0031156498 0.0021817652 0.007179871 0.0018409276 0.0037446544 0.005340969 0.0033283567 0.0029004107 0.004151836 0.0029763775 0.0021670782 0.00329797 0.0008872917 0.001924491 0.002707455 0.002560586 0.0021701169 0.004906946 0.0013749982 0.008095018 0.0024633487 0.005084708 0.005596724 0.015219686 0.004652204 0.0029470036 0.00484364 0.009050173 0.0032736605 0.0011957167 0.0063908296 0.0032508706 0.00800335 0.009480651 0.0048233825 0.0008650081 0.010173974 0.0076574488 0.015967704 0.009838201 0.0024096654 0.0026086983 0.0021731555 0.0030356315 0.00097034866 0.0011866007 0.001841434 0.0026011015 0.0013901916 0.0012650996 0.0064759124 0.0015375671 0.0010402381 0.0068071275 0.0021047855 0.0044288617 0.0009019786 0.0008847595 0.002326102 0.0057496703 0.0014139945 0.013707441 0.0012585159 0.00527108 0.00073789037 0.0009475586 0.0019082848 0.0006198887 0.0006244467 0.0007242164 0.00085690495 0.0007145939 0.00059709867 0.00058089243 0.0009652842 0.0015517476 0.00057785376 0.0006811686 0.00095312955 0.0007029457 0.0006376143 0.0008650081 0.00097338733 0.001275735 0.0006371078 0.0009825033 0.00083968585 0.00069686834 0.00072067126 0.00062697893 0.00096832286 0.0005717764 0.0013349891 0.0010270705 0.0010883503 0.0006107727 0.00072269706 0.00065078185 0.0010696119 0.000589502 0.00065280765 0.0006234338 0.00089286256 0.001031122 0.0010761956 0.0009936452 0.0013810756 0.000751058 0.00075561594 0.0009227428 0.0009926322 0.0008052476 0.0009885806 0.0012838382 0.0051014205 0.0019807066 0.0018110474 0.0034711743 0.0027732928 0.0010610023 0.0021068114 0.0027069487 0.0018444727 0.0017366 0.0013972818 0.0012053391 0.005426052 0.0012159745 0.0012843446 0.0011374755 0.0020379347 0.0012397774 0.001303083 0.0015041417 0.001271177 0.0011612785 0.0011901458 0.001207365 0.0018875205 0.0010574572 0.0010235254 0.0015325026 0.0012777608 0.0010645475 0.0015198415 0.0012473741 0.0023129345 0.0013704402 0.0013051088 0.0013441051 0.0020354025 0.0011962231 0.0011324111 0.0014438748 0.009092207 0.002174675 0.0014504585 0.0032473255 0.0028821786 0.0011703945 0.0012499063 0.0014519779 0.0026841585 0.001496545 0.0014702099 0.0013800627 0.0017396386 0.0015912503 0.0021128887 0.002804186 0.0036859068 0.0017102648 0.0014524843 0.0019761485 0.0037294612 0.0017842058 0.002983974 0.044075403 0.029541396 2.0271148e-06 7.60168e-07 7.60168e-07 1.520336e-06 7.60168e-07 2.0271148e-06 2.5338934e-06 0.0 1.0135574e-06 0.0 1.520336e-06 2.5338934e-06 4.8143975e-06 4.0542295e-06 1.3936414e-05 0.004983661 3.0153331e-05 1.520336e-05 7.855069e-06 2.1791482e-05 1.2416078e-05 2.8379605e-05 2.3311819e-05 7.0949013e-06 7.3482906e-06 5.5745654e-06 1.0388962e-05 3.5474507e-06 5.8279547e-06 4.307619e-06 2.255165e-05 0.0047974205 2.7872828e-05 2.1031316e-05 3.496773e-05 1.520336e-05 1.29228565e-05 1.6977085e-05 1.4949971e-05 1.7230475e-05 1.5963527e-05 1.925759e-05 5.270498e-05 5.017109e-05 2.660588e-05 2.5338933e-05 4.0795683e-05 0.00671051 8.8939654e-05 6.6388006e-05 6.537445e-05 0.0019820114 0.0006887122 6.1573606e-05 5.2451593e-05 0.00022272923 1.3176245e-05 1.4189803e-05 1.29228565e-05 3.0153331e-05 9.122016e-06 2.660588e-05 0.00033396715 0.013065261 0.00027011303 0.00013860397 0.00017458525 0.0005349049 0.00030077313 0.00028328926 0.0001710378 6.917529e-05 5.270498e-05 6.2080384e-05 0.0004512864 0.0013718499 3.6994843e-05 4.6623638e-05 0.00061472255 0.03318919 0.00040491615 0.00025592322 0.0005275566 0.0016338545 0.00082604925 0.00032839258 0.00023387835 0.00023615886 7.196257e-05 6.41075e-05 0.00042214664 0.0018271905 0.0040810886 0.0033665306 0.0023494258 0.02021084 0.0005493481 0.0018953523 0.0012296984 0.0031136482 0.0015770952 0.005609026 0.0027279896 0.0005589769 0.00012517434 0.00013150906 0.00021487416 0.0009198033 0.0016457638 0.0016832653 0.0034744747 0.016973792 0.00092335074 0.004228561 0.0015682266 0.003244397 0.0023428379 0.0125012165 0.0064596543 0.0007725841 0.00022019533 0.00015963528 0.00024148004 0.0004543271 0.00035018407 0.00031242904 0.0026980897 0.024241252 0.0012963398 0.006041055 0.0040516956 0.0059827757 0.0037010047 0.016176121 0.008667689 0.0005179278 0.00033878154 0.00027720793 0.0003491705 0.0005675921 0.0003968077 0.00075738074 0.0049973447 0.029109366 0.0021525424 0.0072900113 0.01328799 0.011878385 0.006711777 0.020367688 0.012854188 0.0018122406 0.00075738074 0.0005625243 0.000556443 0.0007183588 0.00064335554 0.001073864 0.0054288665 0.0313995 0.0025197035 0.0042141182 0.0057359743 0.0058375834 0.0036151058 0.011721284 0.007705063 0.002620299 0.0012550374 0.0012003053 0.000997087 0.0013797049 0.0010839995 0.0020815935 0.006929438 0.022151548 0.0032644148 0.002838214 0.00836793 0.0034980397 0.0023914885 0.0057836114 0.0042612483 0.0027459802 0.0017167127 0.0017174729 0.0014382378 0.0016972017 0.0016994823 0.0030130525 0.006586096 0.011413416 0.0018760946 0.0018748277 0.0019442564 0.0018824294 0.0015347792 0.0029464113 0.0021026246 0.0018743209 0.0009682007 0.0011133928 0.0009770693 0.0017352102 0.0011308766 0.0017689109 0.0037777815 0.033276353 0.008002542 0.005429627 0.0050039324 0.007713425 0.010636778 0.004801728 0.007515781 0.01801877 0.0019708623 0.002160651 0.0025055138 0.009489177 0.0026400634 0.0067584002 0.014709504 0.037076436 0.011592562 0.0066978405 0.00846067 0.009807181 0.014177133 0.006563037 0.012060066 0.022223005 0.0023633623 0.0026337288 0.0028678605 0.012182959 0.004104654 0.010067665 0.020308143 0.0056239762 0.0039599687 0.0038728027 0.003928548 0.0038173103 0.003587233 0.0037795554 0.003992656 0.003923227 0.0036916293 0.003614599 0.0037197554 0.003788424 0.00367972 0.0038913 0.0044401414 8924.0 48.3327 431321.0 0.06680639 0.00060743623 0.002374102 0.00084855594 0.0017411626 0.00070249307 0.00092738355 0.0016321951 0.001859404 0.0014281707 0.00053324556 0.00062830234 0.0029769011 0.008933022 0.014590061 0.0019428686 0.015102441 0.013375189 0.011457824 0.010873572 0.011680395 0.009361937 0.00807983 0.008933022 0.011534333 0.010324097 0.003957609 0.0020680653 0.0023926497 0.0038370495 0.0023532358 0.0017689841 0.002193262 0.021325184 0.010521166 0.014928557 0.024318315 0.017611014 0.011559836 0.007284598 0.003946017 0.013658041 0.0007094484 0.001602055 0.006927555 0.005089017 0.009380485 0.0065241433 0.012732976 0.0010896757 0.01167344 0.014801041 0.0093480265 0.0034614592 0.0051608896 0.0038440048 0.0056106704 0.0021955806 0.00083696365 0.003500873 0.0068835043 0.0037327188 0.000874059 0.01551049 0.0016947935 0.032938346 0.008265306 0.01964894 0.01836683 0.06184489 0.011230615 0.010820247 0.011726765 0.03689132 0.0015533675 0.0025387125 0.023935769 0.011168016 0.03160755 0.038613934 0.014564559 0.0009528866 0.039418437 0.029590491 0.045847524 0.015308784 0.0053394106 0.0069252364 0.0044954917 0.010338008 0.0012102355 0.002793743 0.0020031484 0.0025850816 0.0008416006 0.00047296562 5.8087854 73.0 75.0 22.0 20.0 1974548.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.015157266 0.0039796615 0.0039825486 0.003981561 0.004142999 0.0038441296 0.0038597796 0.0038270361 0.0039387895 0.0038290874 0.0038586399 0.0038451932 0.003824681 0.0038616029 0.0038736062 0.0038633503 0.0038477 0.0038077394 0.00382149 0.0038261244 0.0038469404 0.003827112 0.0038423063 0.0038044727 0.0038237693 0.0038598555 0.0038230096 0.0038343293 0.0038260485 0.0038332657 0.0038233134 0.0038538538 0.0038748977 0.0038152605 0.003848156 0.0038344052 0.0038149566 0.0038184514 0.0038438255 0.0038025733 0.0037982431 0.003834937 0.0038018138 0.0038818112 0.0038284794 0.0038523343 0.0038511949 0.0038201986 0.0038470924 0.0038279477 0.0038253646 0.0037703617 0.0038392674 0.0038202747 0.0038598555 0.003816704 0.003819363 0.0038388874 0.0038333416 0.003824377 0.003806752 0.003829315 0.003835013 0.0038259726 0.0038660092 0.0038418504 0.003845725 0.0038121457 0.0038265802 0.0038385836 0.003832126 0.0038175397 0.0038369882 0.0038239213 0.0038528661 0.003843142 0.0038259726 0.0038083473 0.0038066758 0.003822022 0.003832126 0.003850587 0.0037888987 0.0038305307 0.0038080434 0.003827112 0.0038103985 0.003809107 0.003861147 0.0038417743 0.0037951283 0.0038291633 0.0038200468 0.0038159443 0.0038278718 0.0038363044 0.0038545376 0.003858716 0.0038497513 0.0038565127 0.0038477 0.0038606152 0.003829695 0.0038397992 0.0038176917 0.0038446614 0.0038162482 0.0038388115 0.0038527143 0.003842534 0.0038126016 0.0038524864 0.0038303027 0.0038436737 0.0038504351 0.0038227057 0.0038703396 0.0038158684 0.0038201986 0.0038284035 0.0038102465 0.0038303789 0.0038135892 0.0038179196 0.0038423822 0.0038250608 0.0038097906 0.0038478521 0.0039431956 0.0038135133 0.0038303789 0.0038058402 0.003803637 0.0038256685 0.0038086511 0.0038443573 0.0038685922 0.003829999 0.0038180714 0.0038239213 0.0038127536 0.0038284035 0.0038146528 0.0038380518 0.0038318222 0.0038397992 0.0038201986 0.0038414705 0.003858108 0.0038184514 0.0038270361 0.0038669968 0.0038337975 0.0038233134 0.0038688201 0.0038382038 0.0037942927 0.0037896584 0.003811614 0.0038135133 0.0038184514 0.0038312904 0.0038440535 0.0038281756 0.0038461047 0.003829999 0.0038382038 0.0038239213 0.0038312904 0.0038438255 0.0038270361 0.0038277959 0.0038315183 0.003824681 0.0038090309 0.0038418504 0.003816932 0.0038280236 0.0038135133 0.0038056881 0.0038148048 0.003835089 0.0038236175 0.003834709 0.003842534 0.0038393433 0.0038053843 0.0038305307 0.0038065999 0.0038181474 0.0038319742 0.0038055363 0.003829999 0.0038414705 0.0038404828 0.0038100944 0.0038304548 0.0038385077 0.0038276438 0.003822326 0.0038412425 0.0038040928 0.0038258964 0.0038270361 0.0038144249 0.003837292 0.0038201986 0.0038146528 0.0038224019 0.0038277959 0.0038340255 0.0038619067 0.0038157164 0.0038315943 0.003850587 0.003848004 0.0038400271 0.003858564 0.0038657812 0.0038314424 0.0038282515 0.0038550694 0.0038071317 0.003837596 0.003835317 0.0038252887 0.003798395 0.003819515 0.0039430438 0.003822326 0.003813969 0.00382149 0.0038331137 0.0038341773 0.0038046245 0.0038390395 0.0038119939 0.0038183753 0.003819591 0.003795508 0.0038500552 0.0038198947 0.0038213383 0.0037993067 0.0038344052 0.0038546894 0.003845725 0.0038210345 0.0038306066 0.0038319742 0.0038286315 0.0038261244 0.0038356208 0.0038148048 0.0038374441 0.010882837 0.0005437842 1.8994835e-07 1.8994835e-07 0.0 2.2793803e-07 0.0 0.0 0.0 2.2793803e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018515786 2.2413906e-06 3.001184e-06 1.10549945e-05 6.3442753e-06 1.2156695e-06 6.458244e-07 5.204585e-06 2.3553596e-06 8.737625e-07 5.204585e-06 1.1776798e-06 6.0783475e-07 4.63474e-06 3.0391736e-06 0.0016797513 0.007352027 3.6394107e-05 2.7124626e-05 3.4038745e-05 3.0391737e-05 1.5955662e-05 4.52457e-05 3.9927145e-05 1.5651745e-05 1.4702003e-05 2.879617e-05 2.79604e-05 2.5073183e-05 4.6157453e-05 8.551475e-05 0.0053237206 0.0014347939 3.7533795e-05 2.1350195e-05 2.1426174e-05 3.2177253e-05 2.7162616e-05 2.1540143e-05 1.9374733e-05 2.2679835e-05 1.033319e-05 1.15108705e-05 1.3296385e-05 1.10549945e-05 1.4132158e-05 5.59208e-05 3.5178437e-05 0.00018003305 1.1396902e-06 1.2156695e-06 1.5195868e-06 1.5233858e-05 1.4436075e-06 3.0391736e-06 1.1434891e-05 2.7580501e-05 7.597934e-07 3.001184e-06 8.3577277e-07 9.497418e-07 6.0783475e-07 2.203401e-06 6.0213628e-05 0.00019595072 1.1814788e-05 7.749893e-06 3.6470085e-06 4.6727296e-06 2.5832976e-06 7.066079e-06 7.407986e-06 4.516972e-05 1.5195868e-06 1.861494e-06 1.747525e-06 4.330823e-06 1.1776798e-06 5.4325233e-06 9.079531e-06 0.00021088067 1.0751077e-05 7.521955e-06 3.343091e-06 1.7931125e-05 1.7095352e-06 8.357728e-06 2.089432e-05 3.4988487e-05 1.2346643e-05 9.117521e-07 1.8235042e-06 4.9006676e-06 1.1396902e-06 5.6604613e-06 4.5853532e-05 0.00017741177 4.976647e-06 1.1396902e-05 9.535408e-06 1.037118e-05 5.394533e-06 1.4777982e-05 1.0219222e-05 2.8226326e-05 2.887215e-06 5.5085025e-06 7.3320066e-06 5.166595e-06 3.1531426e-06 7.066079e-06 7.787883e-06 0.00024476746 1.3524324e-05 2.0058547e-05 1.1320923e-05 9.345459e-06 9.26948e-06 8.889583e-06 1.1206953e-05 5.0260336e-05 7.142058e-06 6.3062853e-06 1.1776799e-05 1.4702003e-05 1.4588034e-05 1.8083083e-05 1.5575766e-05 5.9833732e-05 6.686182e-06 1.6563497e-05 8.3957175e-06 8.357728e-06 3.950926e-06 1.61836e-05 1.2612571e-05 1.1890767e-05 1.4436075e-06 1.8994836e-06 1.5955662e-06 1.6715455e-06 1.5955662e-06 1.4815972e-06 1.4436075e-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 7.142058e-05 1.2688551e-05 1.1434891e-05 9.953294e-06 1.0827056e-05 9.26948e-06 2.1844062e-05 1.9222774e-05 1.0523139e-05 6.7241717e-06 5.698451e-06 9.345459e-06 8.129789e-06 7.4839654e-06 9.535408e-06 9.30747e-06 8.1449856e-05 2.0286485e-05 2.1312206e-05 2.9897872e-05 2.4351379e-05 2.1730093e-05 2.8416274e-05 2.6516791e-05 2.9821893e-05 1.040917e-05 1.05991185e-05 1.32583955e-05 1.6373548e-05 1.3144427e-05 1.8273033e-05 2.31737e-05 0.061236158 0.06114263 0.06117412 0.06107535 0.061130967 0.061086178 0.061298236 0.061096434 0.061032422 0.06121219 0.061219595 0.061064903 0.061136246 0.06131157 0.061026648 0.061127167 54869.0 5.6318502 309014.0 0.010630586 0.010387879 0.010336101 0.010116046 0.010365226 0.010145172 0.010135463 0.010332866 0.010099866 0.010219602 0.010219602 0.010455837 0.010180769 0.010546448 0.010306977 0.010417004 0.010400823 0.010103102 0.0103846425 0.009908936 0.010371698 0.010378171 0.010193713 0.010119283 0.010368463 0.010578808 0.010352282 0.010465546 0.010374934 0.010400823 0.010323157 0.010397587 0.011368417 0.010653239 0.010041616 0.009915409 0.010692072 0.010167824 0.010475254 0.010400823 0.010620878 0.010138699 0.010119283 0.010488198 0.010332866 0.010397587 0.010429949 0.0105626285 0.010135463 0.010475254 0.010345809 0.0102778515 0.010585281 0.010310212 0.010297268 0.010284323 0.010268143 0.010523795 0.010387879 0.010090157 0.010274615 0.010148408 0.010255199 0.0105529195 0.010455837 0.010727669 0.010905655 0.0106338225 0.010410531 0.011060988 0.010310212 0.010556156 0.01066942 0.010472017 0.010465546 0.010705017 0.010675891 0.010889474 0.010507614 0.010559392 0.0105982255 0.010145172 0.010763266 0.010653239 0.011096585 0.010232546 0.010556156 0.010695308 0.010688836 0.010533503 0.010193713 0.010620878 0.010255199 0.010086922 0.010319921 0.010520559 6.584562 5.0 14.0 0.0 179.0 13162928.0 46174210.0 0.0 0.0 32.0 0.0 1.0 1.0 1.0 0.0 1533063200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 24708096.0 1024.0 4096.0 4.0 0.0 0.0 3.0 4.0 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 0.0 0.0 0.0 0.0 9592832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3286528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 274432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.448167 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.999983 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.999919 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.1835306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 41156610.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4734976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 274186.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 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 1.0 0.0 0.0 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 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 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2016.0 41160704.0 274186.0 45899776.0 0.0 0.0 6576.0 13156352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 45897120.0 0.0 0.0 0.0 0.0 264.0 41161424.0 0.0 0.0 0.0 0.0


Input: 0.056597665 0.008294263 0.006167184 0.005665661 0.005754591 0.004960426 0.004198318 0.0054205866 0.0050369473 0.005619128 0.0037536684 0.0044702776 0.004955256 0.0031683857 0.004320338 0.0046440014 0.005035913 0.0037743498 0.0049325065 0.0041600573 0.0043482576 0.0031704537 0.0041073197 0.0038519048 0.005077276 0.0033607224 0.0031570108 0.0029419246 0.004156955 0.0034413796 0.003795031 0.0037908948 0.006162014 0.0038105422 0.0034879127 0.0030277523 0.004899416 0.0041672955 0.003852939 0.0037226463 0.004728795 0.0038963698 0.0033286663 0.0030918645 0.004372041 0.0037298847 0.0037309187 0.0035882173 0.005517789 0.003947039 0.0031084097 0.0029129707 0.0036823177 0.003071183 0.0026865099 0.0028633354 0.0041621253 0.0033131551 0.0035272073 0.0033514157 0.004003913 0.0032293957 0.0035013556 0.0034682655 0.0065932204 0.003946005 0.003625444 0.0032242252 0.004159023 0.0032283615 0.0035468547 0.0030670469 0.0049955845 0.00377952 0.0037092033 0.0035892515 0.0041238647 0.0031249546 0.0035602977 0.0034661973 0.0051744785 0.0036347504 0.0036512956 0.003340041 0.0039211875 0.0033751994 0.0033648587 0.0035344458 0.0046512396 0.003644057 0.003806406 0.0035106624 0.0041145585 0.0033896763 0.0036895561 0.00377952 0.005910735 0.003626478 0.0033369388 0.0029574358 0.004002879 0.0030494677 0.003265588 0.0030329227 0.0049759373 0.0031683857 0.0031973396 0.0030473997 0.0035789108 0.0028323133 0.003083592 0.0031932034 0.0045002657 0.0032924737 0.003232498 0.0031425338 0.0038963698 0.0033328026 0.0032821333 0.0036202734 0.004621252 0.0032904057 0.0034827425 0.003172522 0.0040380373 0.0031973396 0.003463095 0.003339007 0.008629301 0.0045974683 0.004007015 0.003524105 0.0043596323 0.0034351754 0.0030205138 0.0033803696 0.0045385263 0.0038436323 0.0029657083 0.0031942374 0.003731953 0.0028012914 0.0028467902 0.0029822532 0.0052230796 0.003204578 0.003492049 0.0030277523 0.003656466 0.0031828627 0.0033059167 0.003264554 0.0045405943 0.002842654 0.003039127 0.0027102933 0.0035116964 0.0032283615 0.0029843214 0.0031487383 0.005009027 0.0034124258 0.0032717925 0.0028012914 0.0037764178 0.003009139 0.0030629106 0.0031828627 0.0041311034 0.0030060369 0.0031249546 0.0030163776 0.0036533638 0.0028385178 0.0029202092 0.0030277523 0.004667785 0.003112546 0.003841564 0.0028498925 0.0035592634 0.0031539088 0.0029853554 0.0031197844 0.004250021 0.0031528745 0.0033359048 0.003186999 0.0036502616 0.0031963056 0.0033328026 0.0033462455 0.0067183427 0.004071127 0.0037205783 0.0033348706 0.00411766 0.0032573156 0.0033048827 0.0032252595 0.0043296446 0.0033307343 0.003112546 0.0030763536 0.0036461253 0.0029843214 0.0030897965 0.0028043936 0.004248987 0.003279031 0.0030908305 0.0030008666 0.0037081693 0.0030329227 0.0029377884 0.0029512313 0.0039811633 0.0031084097 0.0027247702 0.0026410108 0.0035313435 0.0029429586 0.0035809788 0.0028902213 0.0049521537 0.003234566 0.0034051873 0.0029667423 0.0038115762 0.0030753196 0.0032014758 0.0029129707 0.004444426 0.0054485067 0.003477572 0.0031280569 0.003792963 0.0030918645 0.0032511111 0.003203544 0.0046119452 0.0033234959 0.0034238005 0.0030453315 0.0037433277 0.0030918645 0.003307985 0.0032438727 0.004352394 0.0030401612 0.0031932034 0.0028602332 0.004004947 0.0030939328 0.0042189993 0.004508538 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045726527 0.0002935901 0.00027236048 0.00026407576 0.00030912398 0.00023870377 0.000329318 0.00031223075 0.00032621121 0.000352101 0.00032621121 0.000352101 0.0005209024 0.00015119632 0.00018640641 0.00073682313 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09914646 0.062041752 0.06247359 0.055348724 0.060601242 0.059566688 0.05493863 0.054467436 0.06046351 0.053140327 0.05214357 0.052964795 0.056442827 0.050578274 0.05670483 0.053834174 4031.0 5.702803 22988.0 0.017182877 0.010396728 0.009309205 0.008787193 0.0134417955 0.012571776 0.011788759 0.011571255 0.012571776 0.009787715 0.008439186 0.008569689 0.013876805 0.010570733 0.011875762 0.010135723 0.016747868 0.011919262 0.008700191 0.0075691664 0.009831216 0.008482686 0.007830172 0.008352184 0.010396728 0.008395685 0.009700714 0.0088306945 0.011614756 0.008961197 0.0096572125 0.009178702 0.018009396 0.010875239 0.010353228 0.009135201 0.010962241 0.008787193 0.010657734 0.008265181 0.014181312 0.011571255 0.009744215 0.008917696 0.011440752 0.009309205 0.011658257 0.00952671 0.014790325 0.009613711 0.009961719 0.009048199 0.012006264 0.009352705 0.00957021 0.009744215 0.0136593 0.009222203 0.010483731 0.00957021 0.011136245 0.009787715 0.010396728 0.010701235 0.017922394 0.010962241 0.0096572125 0.008221681 0.013093788 0.008221681 0.009352705 0.008308683 0.015399339 0.009265704 0.008874196 0.008700191 0.01135375 0.008004176 0.009874717 0.007873673 0.013311293 0.008047677 0.008787193 0.0088306945 0.011614756 0.009483209 0.00817818 0.007830172 0.010875239 0.008874196 0.011919262 0.00861319 0.01135375 0.009004698 0.0099182185 0.008787193 6.554551 0.0 0.0 0.0 14.0 967054.0 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: 0.22233297 0.015984764 0.009777754 0.008441392 0.008960644 0.007979045 0.0059936196 0.0046830433 0.009311849 0.0038170314 0.005527716 0.0031092847 0.0062452434 0.0049239974 0.0015044066 0.014633288 0.0075398153 0.003229317 0.001081181 0.0015301913 0.0030345977 0.0053089904 0.0018484995 0.0008837944 0.0029821391 0.002871887 0.0008171097 0.0007006338 0.0014021567 0.00095492473 0.0007193055 0.0017444714 0.008472512 0.0014048241 0.0010767354 0.0007655402 0.018403195 0.00079754886 0.000585047 0.00087668136 0.0034018082 0.00083933794 0.0006206122 0.0013114655 0.0009851551 0.0012172178 0.0009896008 0.0007361989 0.0069067553 0.0010794027 0.0010758463 0.006101204 0.0026264875 0.00068729685 0.0011505331 0.00073886634 0.0035831905 0.0013274698 0.00066062296 0.0034267039 0.0012447808 0.0010429485 0.0012492265 0.0024504398 0.008408494 0.012574065 0.0020476645 0.0031510738 0.011326617 0.007899912 0.0020076537 0.0018476103 0.053698067 0.00801461 0.0013728155 0.0010589528 0.009874668 0.0039192815 0.0015995434 0.002119684 0.0050164666 0.0009478117 0.0022592773 0.0026807245 0.0042198068 0.0032960018 0.0024282117 0.005055588 0.002774972 0.0014643957 0.0006090535 0.0011638701 0.0039841877 0.001349698 0.0015977651 0.0045274454 0.0031555193 0.0030852782 0.0010162747 0.0018965125 0.0025971462 0.0045478954 0.0053472226 0.0010482833 0.0019062929 0.0027785285 0.00049168844 0.0009326965 0.0029047849 0.0014688413 0.0025224595 0.003229317 0.004310498 0.0004934667 0.0032302062 0.0027847525 0.009924459 0.004996906 0.0010962962 0.0012305548 0.0024860052 0.0012847916 0.00060282956 0.0006588447 0.0018591691 0.0008695683 0.0010625094 0.00091669214 0.008115082 0.0017000149 0.0010242768 0.009378535 0.003448932 0.0071761613 0.00069352076 0.0010002702 0.0023375205 0.01326314 0.00090780086 0.037269626 0.0017595866 0.011034982 0.00045256675 0.00043834068 0.0031928627 0.00040099726 0.00048546452 0.0008989096 0.0008304466 0.00070685765 0.0005059145 0.00043122764 0.0015453064 0.00045612326 0.00041166678 0.0003263104 0.001052729 0.00048101888 0.00033609083 0.0004605689 0.0019872037 0.00067573815 0.0005788231 0.00055659487 0.00079132494 0.00051391666 0.0004952449 0.0005423688 0.001239446 0.0006321708 0.0005672644 0.00056637527 0.0010473941 0.0005672644 0.0005219188 0.00052814273 0.0016262173 0.00040188638 0.0004570124 0.00037076685 0.0008944639 0.00046590366 0.0009238052 0.0024059834 0.0025998137 0.0013968219 0.002052999 0.0005219188 0.0007726532 0.00056637527 0.0005485927 0.00070241204 0.0083515905 0.0031137303 0.0016377759 0.0036721034 0.0035565167 0.0009513682 0.0016893453 0.0041068876 0.0024522182 0.002216599 0.00083933794 0.0036747707 0.015269904 0.00087668136 0.0022637227 0.0033893604 0.0030737196 0.0008997987 0.0017462496 0.0026887266 0.00087045744 0.000647286 0.0009371421 0.0012314438 0.0025117898 0.0010313898 0.0007041903 0.001274122 0.00074953586 0.00044812108 0.0006037187 0.0005316992 0.0029216784 0.00064817513 0.0005894926 0.0006099426 0.00088824 0.0004001081 0.00054414704 0.0005681535 0.010171638 0.0027580787 0.0008873509 0.0026149289 0.002766081 0.00062950345 0.00044901023 0.00046946018 0.0033404583 0.00084911834 0.002541131 0.00086512265 0.0008508966 0.0006152774 0.00179693 0.0009487008 0.0036392056 0.0015310803 0.001390598 0.0007770989 0.00089268567 0.0011105223 0.0020894534 0.031050168 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008288763 7.2997376e-05 0.00011528245 0.00016513432 0.00024035723 4.2285068e-05 4.183996e-05 0.00016112837 4.406549e-05 7.121696e-05 3.6943795e-05 4.8071444e-05 9.747821e-05 3.73889e-05 7.7448436e-05 0.00048694594 0.02596303 0.00032270182 0.0006836828 0.0003507435 0.00037566945 0.00030222695 0.00057819264 0.00031424483 0.00034584734 0.00033204907 0.0001566773 0.00014643987 0.00015712241 0.00020385854 0.00019762706 0.0032982354 0.03405595 0.0023919996 0.0012511929 0.00077047845 0.0015903637 0.00063071516 0.0020586152 0.0011964448 0.0016655865 0.00036810263 0.0002238883 0.0001945113 0.00017804239 0.00014599475 0.0002919895 0.0003881324 0.029870171 0.0023697442 0.0010945156 0.0008719626 0.0015089093 0.00050831103 0.0017087618 0.0009605387 0.0016522334 0.0005283408 0.00030801332 0.00034851796 0.00031424483 0.0006543058 0.00028130697 0.0007758197 0.02543558 0.0010286398 0.0009894706 0.0007842767 0.0014977816 0.000978343 0.0028660374 0.0016348743 0.002142295 0.00066899427 0.0002465887 0.00049673824 0.0006275994 0.00034762776 0.0004931774 0.0007829414 0.029072097 0.0025842853 0.0017385839 0.0021698915 0.005052398 0.00432643 0.0041025416 0.0027552058 0.0013642499 0.0007304189 0.00065252534 0.0005688454 0.0011403615 0.00060534413 0.0007597959 0.00254111 0.028209927 0.002213512 0.0021894763 0.00294037 0.00476664 0.0032519442 0.0042102574 0.0025647006 0.0013010447 0.0010201829 0.0007784903 0.0007090538 0.0010161769 0.000974337 0.0010522305 0.003877318 0.015718028 0.0015102446 0.001318849 0.0014163272 0.004625541 0.003956992 0.0032701935 0.0021783486 0.0014394727 0.0011234474 0.0031593621 0.001054456 0.0012698873 0.0009756723 0.0011016373 0.0014603927 0.016328713 0.002797491 0.0019281991 0.002133393 0.011077352 0.0053203516 0.0061887535 0.0040513547 0.0057770303 0.00080831244 0.0011189964 0.0011684032 0.0036725693 0.0013767128 0.0019638075 0.0026568375 0.107929744 0.018532878 0.027354432 0.019008696 0.09203189 0.020966716 0.010139514 0.018413143 0.077216096 0.005667089 0.0038506119 0.010279277 0.045218315 0.012553324 0.018758992 0.033501346 0.011458809 0.0023871034 0.0033592149 0.003670344 0.007823627 0.0026599532 0.0031615878 0.0031308753 0.006745581 0.00086884684 0.0009427344 0.0014038642 0.004078061 0.0017590588 0.0026105465 0.004103877 0.0008434758 0.00043753916 0.0004477766 0.0010313105 0.0004402098 0.0004090524 0.00054659013 0.00043531365 0.00037923027 0.00032537247 0.00030845843 0.00028887377 0.0003280431 0.00030845843 0.00031691545 0.00044599618 5946.0 14.083418 83740.0 0.017148316 0.00046572724 0.00070456177 0.0005732028 0.017160257 0.0011464056 0.0007165035 0.0026271793 0.0024719369 0.0008836876 0.0005493193 0.00095533795 0.00094339624 0.0028779556 0.0043945545 0.0021375688 0.010126582 0.0052543585 0.0039049438 0.0096489135 0.0024599952 0.001647958 0.001647958 0.0020181513 0.0044303797 0.0036064007 0.0010508718 0.00920707 0.0015763076 0.0014568904 0.0017076666 0.0046214475 0.018306663 0.0588727 0.0050871745 0.021913065 0.03164557 0.026844997 0.008418916 0.008562217 0.020802483 0.026164318 0.00080009556 0.0021017436 0.018844042 0.011069979 0.01031765 0.017160257 0.016706472 0.0012658228 0.018438023 0.019954622 0.023381896 0.018366372 0.02098161 0.04863864 0.0021972773 0.0039168857 0.0007165035 0.0019226177 0.0065440647 0.006245522 0.0107953185 0.04154526 0.003952711 0.025997134 0.0052663004 0.013123955 0.013076188 0.038416527 0.017411035 0.0063888226 0.0051827086 0.023083353 0.0009911631 0.0015524242 0.016706472 0.010580367 0.020050155 0.02894674 0.012491044 0.00042990208 0.022868402 0.01800812 0.03412945 0.010699785 0.0045736805 0.00415572 0.00311679 0.0048244568 0.0012419394 0.0005970862 0.0017315501 0.0007881538 0.00027465966 0.00069262 5.8073535 10.0 21.0 0.0 6.0 1124696.0 1130496.0 1.0 5.0 214.0 1.0 1.0 1.0 1.0 0.0 1534401500.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 13.0 6.0 0.0 6.0 0.0 678912.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 209920.0 0.0 0.0 0.0 0.0 34816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -678912.0 0.0 160768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4413958 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8390255 0.0 0.0 0.0 0.0 5.9626546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.477839 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.370697 0.0 5.0158687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 209676.0 0.0 0.0 0.0 0.0 34404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -678910.0 0.0 160504.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 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 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -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 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184.0 887600.0 260.0 887784.0 160504.0 958464.0 34404.0 921600.0 17240.0 1107456.0 6260.0 1122304.0 84.0 796128.0 0.0 0.0 0.0 0.0 40.0 796480.0 256.0 796224.0 0.0 0.0 1808.0 684032.0 0.0 0.0 0.0 0.0


Input: 0.12378204 0.030053984 0.0065122456 0.0050035114 0.0072144927 0.003083304 0.002918715 0.0026553723 0.008865871 0.002348139 0.0033631057 0.0024523789 0.006095286 0.002633427 0.001881803 0.0064299507 0.008602528 0.005360121 0.0029790644 0.0024798105 0.003708743 0.0063366834 0.0017336728 0.0018927756 0.0031930301 0.0018159674 0.0018488852 0.001953125 0.0028748245 0.0023755706 0.0019311798 0.0020847963 0.009299289 0.0019640976 0.0025730776 0.0017501317 0.0025730776 0.0035880443 0.0018598578 0.0020189607 0.0027870436 0.0019037483 0.002057365 0.002112228 0.0027980162 0.0018324263 0.0023700842 0.0017885359 0.0027102353 0.004191538 0.0025511323 0.0066055125 0.0022109814 0.0035386675 0.0016952686 0.0019860428 0.002260358 0.0031491397 0.002221954 0.0037252018 0.0018159674 0.0021616046 0.0018708304 0.0017885359 0.0036429074 0.0033247015 0.0020299333 0.003028441 0.0046359287 0.00787285 0.004312237 0.003225948 0.0031162219 0.0027321805 0.0017336728 0.0019640976 0.0026498858 0.003171085 0.002990037 0.0017501317 0.012239949 0.0025456462 0.002276817 0.005738676 0.0022493855 0.0038129827 0.0056563816 0.0052887993 0.0028254476 0.0035770717 0.0016733233 0.002507242 0.0023152211 0.0030339274 0.0030613588 0.0038074965 0.0019586114 0.006358629 0.002276817 0.00329727 0.0044713398 0.008854899 0.0051187235 0.0023371663 0.006358629 0.0062434166 0.0061885533 0.0027815572 0.0057770805 0.0035551265 0.005393039 0.0039665992 0.0034508866 0.0017995085 0.0052229636 0.0045042573 0.010539195 0.010467872 0.00268829 0.0028364202 0.0023591116 0.0028528792 0.002024447 0.0017720769 0.0025346735 0.003187544 0.002562105 0.0019421524 0.0040434077 0.0037197156 0.0023261937 0.0066878074 0.0037745787 0.010281337 0.0021945224 0.0017172139 0.0023426528 0.009447419 0.0028967697 0.017627502 0.0017007549 0.0076095066 0.0016020014 0.0014648438 0.0019092346 0.0017501317 0.001667837 0.0016349192 0.0016952686 0.0016897822 0.0015142205 0.0015855425 0.0019256935 0.001898262 0.0016074877 0.0015306794 0.0017227002 0.0021451458 0.00182694 0.0015526246 0.0017720769 0.0022438993 0.0014758164 0.002403002 0.002221954 0.0023316802 0.0013990081 0.0014648438 0.002205495 0.0017940222 0.0016568644 0.0017720769 0.0019202072 0.0014538711 0.0017336728 0.001898262 0.0019805566 0.0015635972 0.0014922753 0.0014319259 0.001969584 0.0036209621 0.0018653441 0.002776071 0.0021177141 0.0016020014 0.0016349192 0.0015251931 0.0017720769 0.002276817 0.002057365 0.0020463923 0.0064793276 0.003708743 0.0031765713 0.0024304336 0.0028199614 0.0017665906 0.002918715 0.0040598665 0.0024523789 0.0026498858 0.0021286868 0.0017172139 0.01018807 0.0015032479 0.0021835498 0.0024084884 0.0022164676 0.001755618 0.0018379126 0.0022164676 0.0019860428 0.0015910288 0.0034618592 0.0025182145 0.0026828037 0.0016074877 0.0017775632 0.0024304336 0.0025456462 0.001667837 0.0018159674 0.0016513781 0.002474324 0.0019037483 0.0024249472 0.0017062412 0.0023700842 0.0015251931 0.0017117276 0.0020847963 0.009447419 0.0032917836 0.0020683375 0.0042573735 0.005157128 0.001667837 0.001755618 0.0017117276 0.003944654 0.0019037483 0.0020025019 0.0025566188 0.003352133 0.002260358 0.0028473928 0.002276817 0.0046304422 0.0019805566 0.002007988 0.004948648 0.005892293 0.0044329353 0.00365388 0.04612886 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0043448755 0.00059311 0.0005406956 6.896628e-05 1.3793256e-05 1.3793256e-05 1.9310557e-05 5.5173023e-06 1.3793256e-05 8.275953e-06 2.7586511e-06 2.7586511e-06 2.7586511e-06 0.0 1.3793256e-05 5.5173023e-06 0.0124635855 0.001304842 0.0012469103 0.00013793255 0.0008413886 9.379414e-05 1.10346045e-05 5.2414372e-05 0.0007227666 2.2069209e-05 2.7586511e-06 1.6551907e-05 1.10346045e-05 2.7586511e-06 8.275953e-06 1.10346045e-05 0.0040690103 0.0003034516 0.00023724399 0.000110346045 0.00031172758 0.00019310557 0.0001462085 0.0001351739 2.2069209e-05 2.482786e-05 5.5173023e-06 1.6551907e-05 1.9310557e-05 8.275953e-06 1.9310557e-05 2.7586511e-05 0.010008386 0.0001296566 0.0011834613 0.0005269024 0.00032000354 0.00014344986 0.0031586555 0.0009324241 0.000104828745 2.2069209e-05 8.275953e-06 2.7586511e-05 0.000102070095 2.2069209e-05 8.8276836e-05 0.00017103637 0.043873586 0.00027862377 0.0059283413 0.003249691 0.0023696814 0.0013489804 0.0148801645 0.0056966147 0.0002537959 9.655279e-05 2.7586511e-05 3.3103814e-05 7.448358e-05 6.344898e-05 0.000292417 0.0006289725 0.010416667 0.00029517568 0.0006289725 0.000529661 0.003685558 0.0020524363 0.010256665 0.005343507 9.655279e-05 7.724223e-05 8.2759536e-05 6.620763e-05 9.379414e-05 5.5173023e-05 9.103549e-05 0.00012689795 0.0039365953 5.5173023e-05 0.0006427657 0.0002979343 0.0023283015 0.0012689795 0.005346266 0.002681409 3.8621114e-05 3.5862464e-05 6.344898e-05 4.1379768e-05 3.8621114e-05 3.3103814e-05 4.1379768e-05 9.931144e-05 0.003699351 0.0006179378 0.0003889698 0.00019862287 0.0002758651 0.0005075918 0.00032827948 0.0002648305 0.0013903602 4.965572e-05 4.689707e-05 0.00022069209 0.0002648305 0.00018758827 0.00039724575 0.0024607168 0.0095752785 0.0013213939 0.00045793608 0.00086069916 0.0009931144 0.0017545021 0.001953125 0.0021793344 0.0037572829 0.00043034958 0.00024276129 0.0007944915 0.0013186352 0.0008965616 0.0015227754 0.0058400645 0.06037308 0.01582914 0.0059586866 0.010339424 0.010339424 0.021972656 0.010022179 0.012496689 0.0321107 0.0028000309 0.004275909 0.0050786766 0.017040187 0.005892479 0.013156007 0.04350117 0.026855469 0.00732146 0.0027145126 0.0048331567 0.00746491 0.0102842515 0.0052000573 0.007426289 0.016342249 0.0012744968 0.0017958819 0.002482786 0.0092856195 0.003155897 0.006049722 0.017456744 0.024783721 0.023145083 0.023368534 0.023340948 0.023238877 0.02308991 0.023694055 0.023569915 0.024852687 0.022780942 0.02317267 0.022940943 0.024436131 0.023420949 0.0238844 0.024811309 894.0 10.36689 9268.0 0.014997842 0.00291325 0.0026974536 0.0028053517 0.0024816573 0.0067975833 0.0023737592 0.0025895555 0.0023737592 0.0017263703 0.0025895555 0.0028053517 0.0043159258 0.003021148 0.0061501944 0.0023737592 0.0039922316 0.0025895555 0.0047475183 0.005934398 0.0039922316 0.0023737592 0.0017263703 0.002265861 0.0031290462 0.004423824 0.004208028 0.0035606388 0.0028053517 0.0020500647 0.0020500647 0.0024816573 0.0038843332 0.023198102 0.0038843332 0.011221407 0.03258524 0.015861027 0.007876565 0.014458352 0.005934398 0.015537333 0.0023737592 0.004423824 0.006689685 0.0056107035 0.01575313 0.0064738886 0.02503237 0.0048554167 0.010897713 0.024061287 0.008847648 0.006042296 0.0071212775 0.011545101 0.010574019 0.013163574 0.0016184722 0.003021148 0.008200259 0.0020500647 0.003021148 0.010250323 0.0020500647 0.02848511 0.005934398 0.025679758 0.028161416 0.078981444 0.0091713425 0.010250323 0.009926629 0.033448424 0.012408286 0.0067975833 0.028808804 0.012408286 0.034635305 0.030319378 0.01564523 0.003021148 0.034959 0.026327148 0.060638756 0.015213639 0.0071212775 0.00873975 0.0067975833 0.007444972 0.00291325 0.0025895555 0.0019421666 0.0012947777 0.0034527406 0.003021148 5.874636 0.0 0.0 0.0 2.0 182272.0 200704.0 1.0 0.0 232.0 0.0 1.0 0.0 0.0 0.0 1208111900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 92160.0 1024.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92160.0 0.0 88064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8049157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.452351 0.0 7.576148 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92108.0 0.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -1.0 1.0 -2.0 -2.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 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 -1.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 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 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 -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 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 90568.0 18028.0 110592.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 5072.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 14192.0 192.0 584.0 968.0 4096.0 0.0 0.0 0.0 0.0