Input: 0.399721 0.013918341 0.0150623135 0.006594122 0.004473586 0.0031436011 0.015169271 0.0022693453 0.0041294643 0.0022925967 0.0048874626 0.0011532739 0.0015438988 0.0016369048 0.0018461682 0.0022739954 0.0058454243 0.0018322172 0.0031529018 0.001529948 0.00109282 0.0022600447 0.0008882068 0.00089285715 0.0032273065 0.0016136533 0.0013346354 0.0013253348 0.0011765253 0.0009905134 0.00071614585 0.0010137649 0.006487165 0.001125372 0.0015531994 0.0016229539 0.0030366443 0.0009672619 0.0009393601 0.0007998512 0.0038643973 0.0011439732 0.001827567 0.00087425596 0.0019345238 0.0023390998 0.0046875 0.0011486235 0.008221726 0.0021809896 0.0017996652 0.003841146 0.001967076 0.0018461682 0.001906622 0.0015857515 0.002780878 0.0023251488 0.0009905134 0.0018415179 0.0007952009 0.0013532366 0.00051618303 0.00053013396 0.0032366072 0.0043805805 0.0119838165 0.0035853796 0.0031156994 0.004441034 0.001655506 0.0013764881 0.024307106 0.0042131697 0.0007859003 0.001297433 0.0027715773 0.0022274926 0.0007905506 0.0011579241 0.004389881 0.0006324405 0.0016322545 0.0036179316 0.0019159226 0.0016415551 0.001967076 0.0015857515 0.0017485119 0.00067894347 0.00047433036 0.0013764881 0.0010370164 0.0012834822 0.00092075893 0.0017578125 0.0020740328 0.0048781624 0.0020879835 0.00421782 0.0027297246 0.01047247 0.0027111236 0.0014183407 0.0020740328 0.007417225 0.00073474704 0.0011532739 0.004794457 0.0029482888 0.0053850445 0.0087890625 0.0038504463 0.0005812872 0.0056826635 0.006129092 0.01015625 0.0038690476 0.0012369792 0.0005998884 0.0029575892 0.0022879464 0.00071614585 0.0017903646 0.0006603423 0.0013485863 0.0010695684 0.0003999256 0.006343006 0.0011532739 0.00048363095 0.0031622024 0.0012137276 0.0024646576 0.00046037947 0.00033017114 0.0011951264 0.0034505208 0.0003952753 0.014713542 0.0007486979 0.0038876487 0.00032552084 0.00037202382 0.003376116 0.0005347842 0.0009393601 0.00050688244 0.0010649181 0.0010277157 0.0006696429 0.0007114955 0.001390439 0.00043712798 0.00036737352 0.0004138765 0.0004092262 0.0004185268 0.00034877233 0.00031622025 0.012272135 0.001264881 0.0013206846 0.0011067708 0.001343936 0.0013160342 0.0014090402 0.0010602679 0.0017996652 0.0011672247 0.001125372 0.00092075893 0.0009440104 0.0010602679 0.0010044643 0.00089285715 0.0017252604 0.0004929316 0.0006045387 0.00045572917 0.00042782738 0.00036272322 0.00064639136 0.00026506698 0.002580915 0.000827753 0.001297433 0.0004231771 0.00032552084 0.00044177828 0.0010184152 0.00043247768 0.0032180059 0.00067894347 0.00080450147 0.0020600818 0.0017066592 0.000390625 0.0011625744 0.0014787946 0.0021530879 0.0009579613 0.0004092262 0.002264695 0.01735026 0.00053013396 0.0005859375 0.0011625744 0.0024274553 0.00044642857 0.0011067708 0.0008091518 0.00069289433 0.00045572917 0.0010323661 0.0007905506 0.0032040551 0.0011904762 0.0007021949 0.0006696429 0.0006138393 0.00044177828 0.00050688244 0.0003952753 0.0027157739 0.00074404763 0.00035342263 0.00045107887 0.00051618303 0.00031156995 0.00033947174 0.00026971727 0.006784784 0.0020507812 0.00035807292 0.0013857887 0.0014927456 0.00033482144 0.00021391369 0.00036272322 0.0015811012 0.00046037947 0.00044177828 0.002250744 0.00065569195 0.0008091518 0.0006184896 0.00053943455 0.0012230283 0.00055803574 0.00043712798 0.00034877233 0.00023251488 0.0040178574 0.005691964 0.030031621 0.08046828 0.00010045978 1.40176435e-05 3.2707834e-05 0.00020091956 2.336274e-05 0.0 2.5699013e-05 0.0 2.1026466e-05 0.00037146755 2.5699013e-05 0.0 2.5699013e-05 0.0 3.037156e-05 0.013769998 1.6353917e-05 2.3362738e-06 2.8035287e-05 8.176959e-05 3.9716655e-05 4.6725477e-06 7.0088217e-06 7.0088217e-06 4.9061753e-05 9.578723e-05 1.168137e-05 4.6725477e-06 1.869019e-05 9.345095e-06 0.00020792837 0.0043805134 8.877841e-05 3.9716655e-05 1.6353917e-05 0.00010279605 2.1026466e-05 2.8035287e-05 2.1026466e-05 1.40176435e-05 4.6725477e-06 9.345095e-06 4.6725477e-06 2.1026466e-05 7.0088217e-06 1.168137e-05 1.40176435e-05 0.0167908 0.00018456564 0.00013784016 5.6070574e-05 0.0003854852 7.242449e-05 7.709704e-05 8.644214e-05 0.00045323715 5.1398027e-05 0.00021727348 3.037156e-05 0.00011214115 6.074312e-05 0.00014017643 0.00028268914 0.051858272 0.0013083135 0.00041585675 0.0001612029 0.0016494094 0.0003317509 0.00025699014 0.00021960975 0.0003574499 0.00023596367 0.0014087731 9.578723e-05 0.0002593264 0.00030137933 0.0002686715 0.0030722 0.02290483 0.0005910773 0.00038081265 0.0002593264 0.00063313026 0.00016821173 0.00016353918 0.00034343227 0.00039015774 0.0001518578 0.00073826255 6.3079395e-05 0.00014718526 0.00026633524 0.00014952153 0.0013573752 0.022243664 0.000707891 0.00044389206 0.0004485646 0.00081769587 0.00028969796 0.00016821173 0.00041585675 0.00032707836 0.00023596367 0.0011424379 0.00016587545 0.00017288428 0.00041819303 0.00021727348 0.0004929538 0.015641354 0.0005139803 0.0014064369 0.00043688322 0.004922529 0.0034810482 0.024280895 0.013319097 0.00038782146 0.00026399895 0.00040884793 0.0002499813 0.0005934136 0.00058874104 0.00033642346 0.0049388832 0.09613066 0.0048664585 0.008179295 0.009083433 0.00872832 0.0038104628 0.019176137 0.011910325 0.0018760279 0.0011097301 0.004331452 0.0011354291 0.0025278484 0.001756878 0.0014204546 0.005775269 0.041410454 0.00342965 0.0034903933 0.0047800164 0.005721535 0.0015676398 0.005228581 0.0039553116 0.0016704359 0.0007429351 0.0026540072 0.0005653783 0.0011985085 0.0009228282 0.0009088105 0.0030932266 0.026965274 0.0033665707 0.0032287305 0.004590778 0.0029203424 0.0012802781 0.0029997758 0.0022358142 0.0013970918 0.0008597488 0.001364384 0.00082937727 0.001714825 0.0009485272 0.0008410586 0.0018736917 0.029135672 0.003308164 0.0049949535 0.0053103506 0.004023064 0.0025442024 0.0044389204 0.003420305 0.002268522 0.0019227534 0.010298296 0.002490468 0.003770746 0.0016424005 0.002259177 0.0042964076 0.013192939 0.0020676025 0.0011798183 0.0017708957 0.0036305697 0.0013410213 0.001483534 0.0014765251 0.0013433575 0.0007148998 0.0013924192 0.0012265438 0.0011424379 0.0011424379 0.0017358515 0.003436659 0.034168005 0.005228581 0.0069784503 0.0048220693 0.032275625 0.008504037 0.0032170492 0.0039599845 0.026065808 0.0034600217 0.0025348573 0.0033759158 0.021341862 0.0052589527 0.008004075 0.017407577 0.007901278 0.0020348947 0.002728768 0.0021049827 0.0045393803 0.0025535475 0.001714825 0.001296632 0.0033829247 0.002474114 0.001663427 0.001261588 0.0033128364 0.001364384 0.0016400643 0.0030885541 0.002371318 0.0011354291 0.0008130233 0.00068686454 0.0009625449 0.0007102273 0.0008597488 0.000759289 0.00090180174 0.0006541567 0.00071957236 0.0008060145 0.00071957236 0.00078265177 0.00076863414 0.00070321845 1065.0 19.125822 20369.0 0.0022092396 0.00024547105 0.00019637684 0.00058913056 0.0020128626 0.00034365949 0.00019637684 4.909421e-05 0.0007855074 0.0005400363 0.0008346016 0.0007855074 0.00063822477 0.0052039865 0.024350729 0.0008346016 0.024841672 0.007413226 0.0077568856 0.00652953 0.006725907 0.005105798 0.005793117 0.0056458344 0.0054494576 0.0069222837 0.0004418479 4.909421e-05 0.00034365949 0.00058913056 0.00019637684 0.00034365949 0.0004418479 0.02307428 0.005744023 0.021012323 0.01281359 0.011733517 0.008591487 0.0036329718 0.008493299 0.013108155 0.0003927537 0.001620109 0.0014237321 0.006480436 0.0028474643 0.0063822474 0.011488046 0.0003927537 0.007413226 0.018410329 0.011095292 0.0063822474 0.010358878 0.0071677547 0.0009818842 0.00024547105 0.00024547105 0.0035347831 0.0032893121 0.0047130445 0.003927537 0.009131524 0.0008346016 0.03691885 0.01060435 0.03122392 0.018312141 0.07796161 0.016151996 0.009278806 0.005302175 0.05547646 0.0015710148 0.006333153 0.026412686 0.019883156 0.04104276 0.06382248 0.0149737345 0.0004909421 0.039226275 0.044332072 0.07943443 0.01993225 0.00805145 0.0024056165 0.0059403996 0.011684422 0.0012273553 4.909421e-05 0.00034365949 4.909421e-05 4.909421e-05 0.00014728264 5.4305334 0.0 0.0 0.0 5.0 215040.0 233472.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1409728400.0 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 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 8.0 0.0 5.0 2.0 5.0 2.0 0.0 1024.0 0.0 6.0 0.0 0.0 3.0 2.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 -13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55296.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -137216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5650945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.540314 0.0 0.0 0.0 -2.859104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3509455 0.0 0.0 -4.0386267 0.0 0.0 0.0 0.0 0.0 -6.212434 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4252.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2412.0 0.0 0.0 0.0 -13664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54832.0 0.0 0.0 -114.0 0.0 0.0 0.0 0.0 0.0 -136744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1404.0 77824.0 3816.0 84132.0 0.0 0.0 4252.0 225280.0 28.0 214388.0 0.0 0.0 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 79232.0


Input: 0.013965206 0.0040701274 0.0037947863 0.0037801894 0.0039397553 0.003754795 0.0037066054 0.003735599 0.003950753 0.0036768117 0.0036648142 0.0036618148 0.003833778 0.0037607937 0.0037250014 0.004034935 0.0038189811 0.003540041 0.0036404196 0.0036364202 0.0037553948 0.003744597 0.0036722126 0.003679411 0.0037751906 0.0036408193 0.0037284007 0.003801785 0.0037939865 0.0038045843 0.003702606 0.0038679708 0.0040929224 0.0035112472 0.0035688349 0.0037098047 0.0040221377 0.0037022063 0.0036546164 0.0037300002 0.003586831 0.003651217 0.0036320214 0.0037949863 0.0036966074 0.003740998 0.0038217807 0.0038863667 0.0037064054 0.0036994067 0.0036780115 0.0039111613 0.0037242016 0.0037329996 0.0037014065 0.0037899874 0.00368481 0.00377859 0.0037763903 0.0039847456 0.003810783 0.003783189 0.0038729697 0.0040789256 0.003670013 0.0037074052 0.004259287 0.003769192 0.0038633717 0.0041069193 0.0037969858 0.003843976 0.0037791897 0.0037819892 0.0036616148 0.003745397 0.0037062054 0.004020538 0.0037679921 0.003909962 0.0041009206 0.003795986 0.0037228018 0.0038641714 0.0037753906 0.0037937865 0.003955352 0.004081325 0.0037184027 0.0038811679 0.0037190027 0.0038139822 0.0042170957 0.0038677708 0.003936356 0.004141712 0.0035936295 0.004248089 0.0037441973 0.0038885663 0.003885167 0.004677797 0.0040375344 0.004123916 0.0038823676 0.0040641287 0.0039543523 0.0038327782 0.004131514 0.003942955 0.004089923 0.0042142966 0.0038793683 0.0037419978 0.003958551 0.004267485 0.004343269 0.0044710413 0.003978747 0.0039493535 0.0039897445 0.003993944 0.00377799 0.003852574 0.003996543 0.004044533 0.004035535 0.004179704 0.0037767903 0.0036306216 0.003521845 0.0042032986 0.0037337996 0.003976947 0.0036536166 0.0037795897 0.003773391 0.004155109 0.0037423975 0.0048917513 0.0036832104 0.0044230516 0.0037158034 0.0038521742 0.0037471966 0.003643219 0.003609426 0.0037507957 0.003675212 0.0037549948 0.0037062054 0.003857173 0.0036670137 0.0038491748 0.0037198025 0.0037975858 0.0037010065 0.003782389 0.003820581 0.004029536 0.0036904088 0.0037421978 0.0036142252 0.00377799 0.003712604 0.0036810108 0.0036806108 0.0038233802 0.0037226018 0.003726801 0.003735199 0.0038743694 0.0038071838 0.003753995 0.0037725912 0.003889166 0.0036768117 0.0037457969 0.0037443973 0.0037331996 0.0037371987 0.0037841888 0.003754195 0.0037941865 0.0037649928 0.00377899 0.003815182 0.0038617721 0.0038425762 0.0039119613 0.003972948 0.0041249157 0.0039463537 0.0037196025 0.0037383984 0.003979147 0.0038177816 0.0037475964 0.0038903658 0.00401094 0.0037751906 0.003820381 0.0037455969 0.0038069838 0.0038877665 0.0037937865 0.0037945865 0.0040097404 0.0037653928 0.0037489962 0.0037683921 0.0038355778 0.0037323998 0.0038309786 0.0038399766 0.003926958 0.0037621935 0.0038253798 0.0038007852 0.0038231802 0.0037877879 0.0037935867 0.0038233802 0.0040405337 0.0037114043 0.0037234018 0.0038099831 0.003819981 0.003740998 0.0037244016 0.003763993 0.003973348 0.0044718413 0.003978747 0.0037607937 0.0040559303 0.0039195595 0.0038399766 0.0038629717 0.0040887236 0.0038863667 0.0039387555 0.0038827676 0.0039959433 0.0039075622 0.003908162 0.0038909658 0.004062529 0.004099721 0.0040049413 0.003974148 0.004068128 0.004268285 0.004163707 0.0043130754 0.0074048126 0.0014338386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00019623265 1.0001664e-07 4.0006657e-07 0.0 9.0014976e-07 3.0004992e-07 3.0004992e-07 0.0 2.0003328e-07 3.0004992e-07 3.0004992e-07 1.400233e-06 8.0013314e-07 3.0004992e-07 1.5002496e-06 1.8002995e-06 0.000546791 3.5605924e-05 1.400233e-06 5.000832e-07 5.000832e-06 2.9004827e-06 9.301548e-06 5.5009154e-06 2.6004327e-06 7.001165e-07 1.0001664e-06 3.0004992e-07 5.000832e-07 3.0004992e-07 6.0009984e-07 1.5002496e-06 0.0005481912 6.801132e-06 5.600932e-06 6.3010484e-06 1.2602097e-05 3.3005492e-06 9.201531e-06 4.9008154e-06 2.9004827e-06 2.2003662e-06 2.1003495e-06 1.5002496e-06 2.800466e-06 9.0014976e-07 1.6002663e-06 3.600599e-06 0.00017832968 4.1006824e-06 3.0004992e-06 1.5002496e-06 5.4008988e-06 1.2001997e-06 2.500416e-06 1.5002496e-06 1.400233e-06 9.0014976e-07 7.001165e-07 4.0006657e-07 1.2001997e-06 4.0006657e-07 5.000832e-07 1.8002995e-06 0.00031415228 5.8009655e-06 2.4003994e-06 2.500416e-06 1.400233e-06 1.9003162e-06 4.300716e-06 2.3003828e-05 2.0703445e-05 2.500416e-06 1.400233e-06 1.1001831e-06 6.401065e-06 1.2001997e-06 1.400233e-06 1.9503246e-05 0.00015162522 1.3002164e-06 4.0006657e-06 1.1001831e-06 1.6202695e-05 1.0501747e-05 2.9004827e-06 1.6002663e-06 4.8007987e-06 1.2001997e-06 1.2001997e-06 5.000832e-07 1.1001831e-06 2.0003328e-07 7.001165e-07 5.9009817e-06 0.0006862142 3.990664e-05 1.370228e-05 1.1801963e-05 6.5110835e-05 1.6602762e-05 1.2102014e-05 1.8002997e-05 2.7804626e-05 3.2005326e-05 8.701448e-06 5.2008654e-06 7.801298e-06 5.8009655e-06 5.8009655e-06 6.7611254e-05 0.0011167858 5.2008654e-05 6.3210515e-05 2.0703445e-05 0.000150225 5.630937e-05 0.00011981994 7.021168e-05 1.6302713e-05 2.0703445e-05 1.310218e-05 8.101348e-06 1.1501914e-05 7.101182e-06 9.301548e-06 0.000108117994 0.00039136512 1.760293e-05 8.071343e-05 3.5605924e-05 0.00013362223 0.00011111849 0.00053798954 0.0002536422 2.2503744e-05 8.201365e-06 4.8007987e-06 4.500749e-06 8.701448e-06 4.4007325e-06 7.701282e-06 1.6202695e-05 0.001718186 7.441238e-05 0.0005233871 0.00022763788 0.0005525919 0.0006700115 0.0030453068 0.0014311381 0.0001718286 0.0001184197 4.410734e-05 4.200699e-05 6.0009985e-05 4.880812e-05 5.3108837e-05 0.00023173857 0.0003653608 6.4710766e-05 0.00010741787 6.6111e-05 7.001165e-05 0.00013422234 0.00042947146 0.00025224197 2.9404893e-05 9.061508e-05 3.820636e-05 2.5504243e-05 9.141521e-05 4.050674e-05 3.100516e-05 0.0004169694 0.00041996987 3.720619e-05 5.1708605e-05 5.060842e-05 0.00012022001 8.59143e-05 0.00015952655 0.00017752954 0.00021133517 0.00010921818 8.881478e-05 9.151523e-05 0.00015942653 7.7612916e-05 0.0001376229 0.00068461394 0.002759159 0.00043287204 0.00039286536 0.00041076835 0.0009639604 0.000865644 0.00037966316 0.0006579095 0.001790898 0.00020033334 0.00015402563 0.00024374056 0.00080793444 0.0002349391 0.00067271193 0.0015274541 0.0028822797 0.00058789784 0.00058229687 0.0006239038 0.0012265041 0.001190098 0.00045837628 0.00082293694 0.002049441 0.00028444733 0.00019463239 0.00028734782 0.000913652 0.00032535414 0.0008401398 0.0016835801 0.05727873 0.05824749 0.057973947 0.05926026 0.058069862 0.05924226 0.05914124 0.060744707 0.05816668 0.059243858 0.059451994 0.06033574 0.05941989 0.060364846 0.060484763 0.06300388 24546.0 6.984234 171435.0 0.016904365 0.007688045 0.0075655496 0.008154694 0.008388019 0.0077697085 0.008026366 0.007822206 0.0077813747 0.007728877 0.007909703 0.00792137 0.007944702 0.008423017 0.011473737 0.008061364 0.007728877 0.008487182 0.008236358 0.008417184 0.008119696 0.008358853 0.008043865 0.0079797 0.007787208 0.008096363 0.00825969 0.007629714 0.008557179 0.008148861 0.008131362 0.008458016 0.007635547 0.0091813225 0.009093826 0.008172194 0.011672062 0.008592178 0.008679675 0.00837052 0.011607898 0.011047919 0.008043865 0.007717211 0.00842885 0.009087993 0.008038032 0.008329688 0.008434684 0.008148861 0.008563012 0.010067956 0.008557179 0.008166361 0.009029661 0.011963718 0.008393852 0.008283023 0.0079972 0.00809053 0.02105171 0.0083355205 0.008364687 0.010196284 0.007728877 0.024977397 0.009799632 0.010832094 0.012045382 0.036025316 0.013264502 0.017056027 0.009192988 0.017965993 0.008907166 0.00968297 0.01936594 0.013608656 0.019068452 0.017575175 0.015218596 0.008563012 0.014168635 0.020013416 0.014407793 0.0153994225 0.013037011 0.00968297 0.0123312045 0.012669525 0.008633009 0.008038032 0.008557179 0.00825969 0.008038032 0.008539679 6.4846783 0.0 2.0 0.0 90.0 5001072.0 225280.0 0.0 0.0 144.0 0.0 1.0 0.0 0.0 0.0 1108502700.0 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 7.0 0.0 4.0 0.0 4.0 0.0 139264.0 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 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139264.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.945373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4069567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.643778 0.0 5.576035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21716.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -137316.0 0.0 29664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -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 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 1.0 -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 -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 0.0 2.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 161708.0 29664.0 192512.0 0.0 0.0 5696.0 8923872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 612.0 143360.0 0.0 0.0 0.0 0.0


Input: 0.056944497 0.008314918 0.0061820876 0.005659804 0.0057628043 0.004966894 0.0041980348 0.0054298746 0.0050574094 0.005631713 0.0037485799 0.0044706212 0.0049575306 0.0031669934 0.0043270453 0.004638126 0.0050438843 0.0037631455 0.004932561 0.0041553783 0.004357217 0.0031721953 0.00410856 0.0038390951 0.005082379 0.0033449025 0.0031628318 0.0029235384 0.0041480954 0.0034354178 0.0037912366 0.003787075 0.006175845 0.0038141254 0.003482236 0.003017175 0.0048961467 0.004166823 0.0038474184 0.0037267313 0.0047369646 0.003900479 0.003328256 0.0030952054 0.004372823 0.0037267313 0.0037236102 0.0035893978 0.00552039 0.003959782 0.0030962457 0.002891286 0.003679913 0.0030733568 0.0026852859 0.0028517507 0.004173065 0.0033126501 0.0035217714 0.00333866 0.0040097213 0.003225256 0.0035072058 0.0034499837 0.006614896 0.003949378 0.0036174888 0.0032210944 0.0041553783 0.003220054 0.0035415392 0.003066074 0.0050053895 0.0037829133 0.0037038424 0.0035893978 0.00413353 0.0031264175 0.0035529837 0.0034624685 0.0051812176 0.0036310141 0.0036507817 0.003335539 0.0039327317 0.0033854784 0.0033667511 0.003540499 0.0046516517 0.0036414182 0.003807883 0.003499923 0.004104398 0.0033813168 0.0036903173 0.0037881152 0.005924067 0.0036320544 0.0033449025 0.0029485084 0.0040128427 0.0030525487 0.003268953 0.0030338215 0.004971056 0.003160751 0.0031982055 0.003050468 0.0035789937 0.002835104 0.0030848014 0.0031909228 0.0045059947 0.0032855996 0.0032242157 0.0031305791 0.0038879942 0.0033344985 0.00328664 0.003625812 0.0046360455 0.0032960037 0.003479115 0.0031628318 0.0040398934 0.0031982055 0.0034635088 0.0033397006 0.0086686555 0.0045975503 0.004015964 0.003538418 0.0043686614 0.003433337 0.003017175 0.0033854784 0.0045382474 0.003830772 0.0029485084 0.003186761 0.003728812 0.002791407 0.0028444678 0.002983882 0.00523844 0.0032075692 0.00349264 0.0030182153 0.0036674282 0.003174276 0.0033053672 0.003268953 0.0045403284 0.002835104 0.0030411044 0.0026946494 0.0035186503 0.0032304581 0.002983882 0.0031472256 0.005012672 0.003407327 0.0032751956 0.0027903668 0.0037777112 0.003009892 0.003050468 0.0031753166 0.0041345702 0.0029901245 0.0031128924 0.003009892 0.00364662 0.0028340637 0.0029131344 0.0030390236 0.0046766214 0.003109771 0.0038380546 0.0028475889 0.003564428 0.0031493064 0.0029818013 0.0031149732 0.0042531765 0.0031409832 0.003328256 0.003171155 0.0036518222 0.0031857206 0.0033209734 0.0033365793 0.006730381 0.004059661 0.0037225697 0.0033365793 0.0041220854 0.0032512662 0.0033053672 0.0032231752 0.0043280856 0.0033272158 0.0031045692 0.0030743973 0.0036424585 0.0029776397 0.0030754376 0.0027893262 0.004254217 0.0032772764 0.003088963 0.0029932456 0.0037111253 0.0030046902 0.0029277 0.0029381043 0.0039795497 0.0031128924 0.0027248212 0.0026332655 0.003533216 0.0029412254 0.0035800342 0.0028756799 0.0049512885 0.0032262965 0.0033917208 0.0029703567 0.003807883 0.0030629528 0.0032054884 0.00290169 0.0044456515 0.0054506827 0.0034707917 0.0031284983 0.0037829133 0.0030702357 0.0032367005 0.003188842 0.0046079545 0.0033136904 0.003417731 0.0030421447 0.0037371353 0.0030900033 0.0033053672 0.0032419025 0.004358257 0.0030296599 0.003181559 0.002860074 0.0040128427 0.003088963 0.004228207 0.004536167 0.011730215 0.0 0.0 0.0 0.0 0.0 1.0422225e-06 3.1266675e-06 0.0 1.0422225e-06 2.084445e-06 0.0 0.0 1.0422225e-06 0.0 1.0422225e-06 0.0020625584 4.16889e-06 2.084445e-06 6.253335e-06 5.2111127e-06 1.0422225e-06 3.1266674e-05 1.1464448e-05 0.0 0.0 1.0422225e-05 0.0 0.0 0.0 0.0 0.0 0.0009551969 2.6055563e-06 6.253335e-06 1.3027781e-05 9.380003e-06 5.732224e-06 5.2111125e-05 2.2928896e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028770552 3.5956677e-05 2.8140008e-05 1.0943337e-05 2.2407785e-05 3.4914454e-05 4.2731124e-05 1.8238894e-05 3.5956677e-05 5.2111127e-06 9.901114e-06 1.6154449e-05 2.6576674e-05 7.2955577e-06 1.7196671e-05 1.3027781e-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 0.0008843258 1.1985559e-05 1.250667e-05 8.33778e-06 1.3548893e-05 1.6154449e-05 1.3548893e-05 1.1464448e-05 1.0943337e-05 1.3548893e-05 6.7744463e-06 1.3548893e-05 1.1985559e-05 1.0422225e-05 1.8238894e-05 9.901114e-06 0.0016331627 6.566002e-05 5.732224e-05 4.8984457e-05 4.7942234e-05 3.0745563e-05 2.2928896e-05 0.00055758905 3.0224453e-05 1.7196671e-05 1.9802228e-05 0.00027879453 2.084445e-05 0.00027566784 1.667556e-05 7.816669e-05 0.0007467524 3.752001e-05 3.4393343e-05 2.084445e-05 2.2407785e-05 1.7196671e-05 1.4070004e-05 1.1985559e-05 1.667556e-05 2.2928896e-05 1.9281117e-05 1.7717783e-05 6.7744463e-06 4.6900013e-06 2.2928896e-05 5.1068902e-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 0.0013251859 3.752001e-05 4.3252236e-05 6.0448907e-05 4.2731124e-05 3.1787786e-05 9.2236696e-05 5.8885573e-05 3.9604456e-05 5.784335e-05 4.429446e-05 4.3252236e-05 7.86878e-05 7.816669e-06 8.858891e-06 0.0001620656 0.0011751059 6.982891e-05 4.6378904e-05 4.6378904e-05 3.8562233e-05 3.8041122e-05 4.7942234e-05 6.0448907e-05 5.2632236e-05 5.1068902e-05 6.8786685e-05 5.2111125e-05 7.556113e-05 1.4591115e-05 4.429446e-05 0.00025273897 0.0046029757 0.00028921675 0.00028452676 0.00026628785 0.00031318786 0.00024231673 0.000341849 0.00030693453 0.00032986343 0.00035331343 0.00032725788 0.00034966564 0.000515379 0.00015320671 0.00018603672 0.00074310467 0.0032136932 0.00027514674 0.00030224453 0.0002501334 0.00029025896 0.00028400563 0.00034497565 0.0009385214 0.00040959346 0.00035331343 0.00032621564 0.00067275466 0.00046535235 0.00043773346 0.00017561449 0.0008655658 0.0022631863 0.00018291005 0.0002918223 0.00024648564 0.00030016009 0.0002965123 0.0002871323 0.00040490346 0.00044555013 0.00032465233 0.00024752785 0.0003189201 0.0004632679 0.00016258672 0.00019072671 0.001044307 0.000346539 5.4716682e-05 4.3252236e-05 4.533668e-05 5.4716682e-05 4.8463346e-05 5.367446e-05 5.2111125e-05 7.087113e-05 4.8463346e-05 3.8562233e-05 4.950557e-05 4.481557e-05 2.6576674e-05 4.2210013e-05 4.7421123e-05 0.099380605 0.06200338 0.062464043 0.055291988 0.06060524 0.059556764 0.054933984 0.054445703 0.060462456 0.05312 0.052074127 0.052886017 0.05638424 0.05048682 0.056597892 0.05381047 4022.0 5.70363 22940.0 0.017131647 0.010462075 0.009372275 0.008718396 0.01342633 0.012510898 0.011813426 0.011421098 0.0125980815 0.009677419 0.008500436 0.008631212 0.013949433 0.010549259 0.011813426 0.009938971 0.016826505 0.011857018 0.008718396 0.0075414125 0.00989538 0.008456844 0.007890148 0.008326068 0.010331299 0.008413252 0.009721011 0.008849172 0.011595466 0.008979947 0.009677419 0.009154316 0.01809067 0.010941586 0.010374891 0.009067131 0.010897995 0.008849172 0.010680035 0.008282476 0.014254577 0.011595466 0.009721011 0.00902354 0.011421098 0.009328684 0.0117262425 0.009546643 0.014864865 0.009590236 0.009982564 0.008979947 0.012031387 0.009372275 0.009590236 0.009851787 0.013687882 0.0092415 0.010462075 0.009503052 0.011115954 0.009851787 0.010374891 0.010680035 0.017959895 0.010985179 0.009677419 0.0081517 0.013077593 0.008238884 0.009372275 0.00836966 0.015475153 0.009285091 0.008892763 0.008718396 0.011377507 0.007977332 0.009938971 0.007846557 0.01320837 0.0079337405 0.0088055795 0.008761988 0.011508282 0.009415868 0.0081517 0.0079337405 0.010941586 0.008936356 0.011987794 0.008456844 0.011246731 0.008979947 0.009938971 0.008718396 6.5543494 0.0 0.0 0.0 14.0 961164.0 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: 0.13572586 0.013264526 0.007842013 0.007384422 0.013796321 0.003890088 0.004406143 0.0035831535 0.016891528 0.002356539 0.0023520417 0.0024408617 0.011350962 0.0032526085 0.0025948912 0.013429798 0.008609911 0.0015121874 0.0013997571 0.00090056664 0.004166667 0.0040407446 0.0009983811 0.00069931644 0.0030907087 0.0006925706 0.0006228638 0.0009151826 0.0020394856 0.00058688613 0.00069594354 0.000753283 0.002575778 0.0009196798 0.0006970678 0.0011973826 0.003040115 0.001132173 0.0006296096 0.0006071236 0.0012367333 0.0004553427 0.0005880104 0.003046861 0.0011670265 0.00047333154 0.00047895304 0.00048569887 0.0017336751 0.00057002157 0.00060937216 0.0069650565 0.002074339 0.000530671 0.001714562 0.00065434433 0.0017066918 0.0013379204 0.0006948192 0.0037877767 0.0015549109 0.0008848264 0.0006655873 0.0005587786 0.0029760299 0.0022227468 0.0015200576 0.0013255532 0.0018314895 0.019333513 0.0041171974 0.0027837742 0.0022935779 0.0012457276 0.0011198057 0.00067458174 0.0012367333 0.011331849 0.0014795826 0.005448372 0.016822945 0.0054056486 0.005206647 0.0041801585 0.0009848893 0.007759939 0.00856494 0.0059543084 0.0010062511 0.0017179349 0.0003811387 0.0034965822 0.0009309228 0.009301358 0.0058148946 0.0044151377 0.00086796185 0.00031705343 0.0003024375 0.000345161 0.0026601008 0.000504812 0.0026758409 0.0003069347 0.0068964744 0.00035415543 0.008776309 0.00032604786 0.0007701475 0.0003024375 0.00036539845 0.00057339447 0.0012963213 0.00074203993 0.0018090034 0.001132173 0.010382937 0.013475895 0.0013379204 0.0012187443 0.0014885771 0.0008308599 0.00039125743 0.00043173233 0.0013997571 0.0032368682 0.0016920759 0.0015391707 0.003977784 0.0018449811 0.00044185107 0.01951565 0.004279097 0.017762862 0.0037079512 0.001803382 0.0024172512 0.015397329 0.0016414822 0.053714696 0.000901691 0.015347859 0.0009905109 0.0006847005 0.0024251214 0.00065771723 0.00027995143 0.0003103076 0.001057969 0.0009815164 0.0004654614 0.00030918332 0.0011040654 0.00058688613 0.00023385501 0.00039687892 0.00087021047 0.0005745188 0.00040812197 0.00051605504 0.0009208041 0.0020945764 0.00020125022 0.00093429576 0.0010905738 0.0002664598 0.0002304821 0.00024172512 0.000995008 0.00033279366 0.0003058104 0.0003035618 0.0010073754 0.00027545422 0.00023835222 0.0003552797 0.0024060083 0.00028669724 0.000270957 0.00052842236 0.0012715866 0.0013019427 0.0024869582 0.0012873269 0.0036168825 0.00071842957 0.0004620885 0.00055315706 0.0012187443 0.0010006296 0.0014953229 0.0008050009 0.012632668 0.0038574834 0.005362925 0.006128575 0.009553202 0.0013199316 0.004695089 0.010577442 0.0036348714 0.0027657852 0.0010084998 0.00089044793 0.035316605 0.0013783954 0.0015133118 0.001035483 0.0025150657 0.0011490376 0.0012648408 0.0006464742 0.0015211819 0.00032717217 0.00089382083 0.00059588056 0.0031244378 0.0006847005 0.00041936498 0.0013851412 0.0020675932 0.0004587156 0.0005171794 0.00061836664 0.002319437 0.0005688973 0.00044972118 0.0005711459 0.002196888 0.003933936 0.00043060802 0.0003833873 0.023120165 0.0023430474 0.00048794746 0.004432002 0.009373314 0.00030918332 0.00044409966 0.0006116208 0.0046905917 0.0011906368 0.0008072495 0.0013660281 0.0032908346 0.00057002157 0.002843362 0.0019034449 0.0059835403 0.0019776488 0.0013120616 0.002248606 0.009178809 0.0044780984 0.0051133297 0.06340507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006026078 3.2101536e-05 1.2953251e-05 6.758218e-06 3.2101536e-05 2.9285611e-05 1.520599e-05 2.2527393e-05 0.00012727977 5.631848e-06 1.6895545e-05 2.5343317e-05 0.0001374171 5.0686635e-06 2.7596057e-05 5.462893e-05 0.0018269717 0.00014248576 7.997225e-05 6.1387145e-05 0.00029961433 0.0003007407 0.0001300957 0.00012052155 0.00052601466 1.6895545e-05 5.237619e-05 4.3928416e-05 0.0005310833 3.153835e-05 0.00017571366 0.000274271 0.03780491 0.0035734077 0.0018376721 0.002854784 0.008001167 0.010053412 0.0029415144 0.0044722506 0.021890432 0.0015921235 0.0010120431 0.002480266 0.014511021 0.0019367926 0.0068883137 0.016558196 0.18566176 0.024579076 0.014324606 0.020147938 0.046872184 0.06383137 0.020499928 0.032212485 0.110085174 0.008538445 0.0076091904 0.015250482 0.079460874 0.014154525 0.039963596 0.08382105 0.018469084 0.0033954415 0.0024639335 0.0029809372 0.005760818 0.007743228 0.00273032 0.005551313 0.01184772 0.0010249964 0.0011032791 0.0019125757 0.007108519 0.0020561877 0.004948705 0.009714939 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 611.0 6.0998363 3727.0 0.0174403 0.005097934 0.0037563725 0.00348806 0.017708613 0.005634559 0.004292997 0.004024685 0.008854306 0.004829622 0.012342366 0.010195868 0.00697612 0.004024685 0.01609874 0.004829622 0.012878991 0.022269921 0.004024685 0.0064394954 0.006707808 0.004024685 0.0013415616 0.0018781862 0.009927556 0.011805742 0.0029514355 0.016903676 0.012342366 0.005097934 0.006171183 0.004024685 0.012610679 0.010732492 0.004292997 0.004829622 0.012878991 0.00697612 0.0091226185 0.009390931 0.02307486 0.006171183 0.004024685 0.00348806 0.009659244 0.004292997 0.0045613092 0.012342366 0.08773813 0.027367856 0.013147304 0.030855916 0.0072444323 0.004829622 0.035417225 0.033002414 0.008854306 0.0029514355 0.0045613092 0.010732492 0.006171183 0.007512745 0.015293802 0.01502549 0.005634559 0.00348806 0.0010732493 0.0032197477 0.005902871 0.00348806 0.00697612 0.002414811 0.08800644 0.0045613092 0.028172793 0.0013415616 0.0037563725 0.00053662463 0.002683123 0.002414811 0.0064394954 0.0016098738 0.0037563725 0.0045613092 0.05205259 0.03246579 0.0018781862 0.006171183 0.004024685 0.0010732493 0.0013415616 0.00053662463 0.0045613092 0.0008049369 0.0045613092 0.0029514355 5.7930765 0.0 0.0 0.0 3.0 889440.0 1368064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536063100.0 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 12.0 0.0 5.0 1.0 5.0 1.0 985088.0 1024.0 4096.0 8.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 185856.0 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 -25600.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 -985088.0 0.0 72704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4123964 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 185480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41132.0 0.0 0.0 0.0 -4488.0 0.0 0.0 0.0 0.0 -984796.0 0.0 72544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 480.0 1165984.0 72544.0 1241088.0 0.0 0.0 14896.0 1329152.0 53076.0 1314816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1119584.0 0.0 0.0 2044.0 991232.0 0.0 0.0 0.0 0.0


Input: 0.31206596 0.025462963 0.031322338 0.011248553 0.017107928 0.010199653 0.018952547 0.0050274883 0.0063657407 0.0034360532 0.024414062 0.0051359953 0.0031828703 0.0035807292 0.006184896 0.0022786458 0.004159433 0.006112558 0.0073061343 0.0034722222 0.0016276041 0.0020978008 0.003616898 0.0031467015 0.0012659143 0.0025318286 0.00068721065 0.0016637732 0.0022063078 0.0010850695 0.0018807871 0.0044126157 0.013961227 0.0027126735 0.0032913773 0.0015190972 0.00086805556 0.0010127315 0.0017361111 0.0010489004 0.007016782 0.001916956 0.0035807292 0.0029296875 0.0027488426 0.0014829283 0.0067274305 0.0007957176 0.004123264 0.0032913773 0.0023148148 0.0014467592 0.0013744213 0.0013020834 0.0007595486 0.003508391 0.00086805556 0.0016637732 0.0013020834 0.0016276041 0.0012297453 0.0014105903 0.00086805556 0.0007957176 0.001844618 0.003978588 0.0033275464 0.0051359953 0.0023148148 0.001953125 0.0027126735 0.0013020834 0.0016276041 0.0033998843 0.00025318286 0.0007957176 0.0033275464 0.0024233218 0.0006510417 0.0011574074 0.0026041667 0.0012297453 0.002061632 0.0047743055 0.0068359375 0.0012297453 0.001844618 0.0014105903 0.0009765625 0.0014105903 0.0010850695 0.0007595486 0.0008318866 0.0010489004 0.00050636573 0.0074146413 0.0015190972 0.014178241 0.0063657407 0.0079210065 0.0055700233 0.03273293 0.0026041667 0.005714699 0.0024594907 0.014142072 0.0011212385 0.0025318286 0.009765625 0.007016782 0.013057002 0.034686055 0.006221065 0.0006510417 0.017288772 0.017361112 0.025426794 0.0098741315 0.002025463 0.0014829283 0.0026765047 0.0045211227 0.0007233796 0.008101852 0.00086805556 0.0027850117 0.0016637732 0.0005787037 0.0027488426 0.0024594907 0.00032552084 0.0011574074 0.00032552084 0.00032552084 0.000108506945 0.00043402778 0.00014467593 0.0005787037 0.0001808449 0.0007595486 0.0011574074 0.00025318286 0.00014467593 0.00014467593 0.00025318286 0.00047019677 0.0003616898 0.00025318286 0.00028935185 0.0001808449 0.00025318286 0.00028935185 0.00014467593 0.0006510417 0.00025318286 0.0003616898 0.00028935185 0.0001808449 0.000108506945 0.00028935185 0.0006510417 0.00054253475 0.00025318286 0.0003978588 7.233796e-05 0.00025318286 0.00021701389 0.00014467593 0.00032552084 0.00032552084 0.00021701389 0.00094039354 0.0003616898 0.00032552084 0.0003616898 0.00032552084 0.00043402778 0.0007957176 0.00028935185 0.00021701389 0.00021701389 0.00028935185 0.00014467593 0.00054253475 0.00028935185 0.00054253475 0.00014467593 0.00094039354 0.0001808449 0.0003616898 0.0003616898 0.00025318286 0.0005787037 0.0007233796 0.00021701389 0.00043402778 0.0001808449 0.00014467593 0.00032552084 0.0001808449 0.0005787037 0.00028935185 0.0001808449 0.0003978588 0.0001808449 0.00032552084 0.00014467593 0.00014467593 0.00032552084 0.0015914352 0.000108506945 0.0003978588 0.00021701389 7.233796e-05 0.00094039354 0.00025318286 0.00025318286 0.0003616898 0.0014829283 0.00014467593 0.00032552084 0.000108506945 0.00028935185 3.616898e-05 0.0008318866 0.00094039354 0.0001808449 0.0003616898 0.0001808449 0.00021701389 7.233796e-05 0.0001808449 0.000108506945 0.00028935185 0.0001808449 0.00014467593 0.000108506945 7.233796e-05 7.233796e-05 0.00032552084 0.00025318286 0.00032552084 7.233796e-05 0.000108506945 7.233796e-05 0.0001808449 0.00014467593 0.00061487267 0.00025318286 0.00047019677 0.00025318286 0.000108506945 0.0001808449 7.233796e-05 0.0015914352 0.0011574074 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025240384 9.390024e-05 0.0021409255 0.0013709435 0.00060096156 0.00024414062 0.0055213342 0.003117488 1.8780049e-05 0.0 1.8780049e-05 3.7560098e-05 0.0 0.0 3.7560098e-05 1.8780049e-05 0.13198617 0.012488732 0.01579402 0.003530649 0.013221154 0.011117788 0.067645736 0.044884317 0.0014460637 0.0003568209 0.0005821815 0.00016902044 0.0005821815 0.0025353064 0.0002629207 0.0010892428 0.07010592 0.009258564 0.009033203 0.0017089844 0.0009014423 0.0040564905 0.010103666 0.0064039966 0.00088266225 0.00056340144 0.00061974156 0.0005446214 0.00024414062 0.00028170072 0.00011268029 0.00056340144 0.12618314 0.012225811 0.0122445915 0.009972205 0.012714093 0.0087890625 0.045203574 0.027982272 0.002741887 0.0016714243 0.0016150841 0.0017277644 0.0013146034 0.0014085036 0.0014836238 0.001953125 0.09722431 0.010009766 0.008770282 0.0076434794 0.0060283956 0.009296124 0.019099308 0.01177509 0.005427434 0.001934345 0.002779447 0.0033804087 0.0025165265 0.0024977464 0.002328726 0.0015963041 0.021071214 0.0041503906 0.0061974158 0.0045823315 0.0037935697 0.0036621094 0.019080529 0.0110426685 0.0010704627 0.0002629207 0.0002629207 0.00028170072 0.00048828125 0.00018780048 0.00018780048 0.00060096156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 17.30102 6782.0 0.020053081 0.00029489826 0.004128576 0.00073724566 0.00014744913 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029489826 0.0016219404 0.020642878 0.0008846948 0.0073724566 0.00678266 0.0035387792 0.00339133 0.0029489826 0.002359186 0.0014744913 0.0019168387 0.0016219404 0.002064288 0.001179593 0.0 0.0017693896 0.0039811265 0.0017693896 0.00029489826 0.00029489826 0.010321439 0.009584193 0.011206134 0.0075199055 0.004423474 0.0070775584 0.0030964317 0.0035387792 0.0053081685 0.0 0.001179593 0.007962253 0.008552049 0.0013270421 0.00339133 0.006045414 0.00029489826 0.006045414 0.015924506 0.009436744 0.002064288 0.0032438808 0.002064288 0.0 0.00014744913 0.0 0.0 0.001179593 0.0 0.0 0.024329107 0.00029489826 0.04408729 0.019610735 0.026835741 0.01857859 0.11633737 0.0070775584 0.01857859 0.0070775584 0.047183722 0.0028015336 0.0048658215 0.033323504 0.023886759 0.044529635 0.056915365 0.014892362 0.0005897965 0.052934237 0.051754646 0.090091415 0.031554114 0.0075199055 0.005455618 0.0070775584 0.015187261 0.0014744913 0.0 0.0 0.0 0.0 0.0 5.1243944 1.0 0.0 0.0 1.0 27648.0 49152.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1504729900.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 24576.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.626285 0.0 4.1830397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24568.0 0.0 1548.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 32672.0 1548.0 32768.0 0.0 0.0 0.0 0.0 12.0 40960.0 28.0 32360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.03173327 0.0039942274 0.0037528372 0.0038657174 0.0039334456 0.0036451668 0.0036382203 0.0038622443 0.0041105812 0.0033169454 0.0036034877 0.003938656 0.0038466146 0.0035531258 0.003469768 0.0041574696 0.0039473386 0.003593068 0.0034280892 0.0036191174 0.0036139076 0.0037007385 0.0037024752 0.0038327218 0.0035270764 0.003419406 0.0037528372 0.0038240387 0.0037111584 0.0034923442 0.003886557 0.004020277 0.0037250512 0.0034072497 0.0035513893 0.003936919 0.0037788865 0.0034923442 0.0034003032 0.0035166568 0.0036225906 0.0037285245 0.0035409695 0.003639957 0.0035149201 0.0036521133 0.0034958173 0.0038188288 0.0034940806 0.0033898836 0.0033812004 0.0038188288 0.0037059484 0.0036607962 0.00391087 0.0037406809 0.003909133 0.0034662948 0.0035045005 0.003959495 0.0037893062 0.003877874 0.0038796104 0.00414184 0.004711452 0.0036086978 0.0035027638 0.0036694794 0.0039768615 0.0040723756 0.0038118823 0.0040445896 0.0035427061 0.0035965412 0.0035409695 0.0034958173 0.0035288131 0.0037910428 0.0034992907 0.004041116 0.0037024752 0.0035149201 0.0038483513 0.0039612316 0.0034037766 0.0037927795 0.003950812 0.0040306966 0.0036660063 0.0037146315 0.0038605076 0.0038466146 0.0035913314 0.0037059484 0.0039351825 0.003936919 0.0035913314 0.0036555864 0.0036000146 0.0036225906 0.0036000146 0.0039542853 0.0036729528 0.0038014625 0.0040220134 0.0037458907 0.003872664 0.003685109 0.0038674541 0.0039490755 0.0039212895 0.003978598 0.0039421287 0.0037007385 0.0038292485 0.0036694794 0.0044561685 0.0044023334 0.0038379317 0.0036816357 0.0039699147 0.0039073965 0.0038396684 0.0039073965 0.0039977008 0.0038935035 0.0038535611 0.00414184 0.0038761373 0.003679899 0.0036590598 0.004473535 0.003813619 0.0040966882 0.003497554 0.0037545739 0.0039299726 0.004032433 0.0038344583 0.0049042166 0.0033812004 0.004379757 0.003707685 0.0039959643 0.0033499412 0.0039403923 0.0034958173 0.0036104342 0.0037233147 0.0037458907 0.0036833724 0.0036746892 0.0033933567 0.0034923442 0.0036364836 0.0035913314 0.0037615204 0.0035670188 0.0038031992 0.0040220134 0.0034524018 0.0036451668 0.0038240387 0.0038830838 0.003584385 0.0038657174 0.0036312738 0.0038570345 0.003483661 0.0036660063 0.0034819243 0.0036920556 0.0035079736 0.0037146315 0.0036139076 0.0038292485 0.0036677427 0.00364864 0.0037736767 0.0036191174 0.00364343 0.003923026 0.0037024752 0.0036990019 0.0037476274 0.0037511005 0.003657323 0.0038170922 0.0037945162 0.0037893062 0.0039212895 0.00402375 0.0038188288 0.0039264993 0.0038170922 0.0039473386 0.0037267879 0.003639957 0.003836195 0.0038448782 0.0037302612 0.0038031992 0.0036469034 0.0038969768 0.0036660063 0.0036173807 0.0036816357 0.0039577587 0.0037771498 0.003964705 0.0035826485 0.0037181047 0.0037302612 0.003735471 0.003836195 0.0037754134 0.0037667302 0.0038744006 0.0037163682 0.0038448782 0.0037754134 0.0037979893 0.0037979893 0.004015067 0.003679899 0.0037128949 0.0038414048 0.0037094217 0.003758047 0.0039525484 0.003679899 0.0038952401 0.004183519 0.0038466146 0.0036278006 0.004180046 0.003924763 0.0038691908 0.003938656 0.003917816 0.0039890176 0.003945602 0.0038188288 0.0039820713 0.0038587712 0.0038935035 0.0039490755 0.004121001 0.004121001 0.0041869925 0.003990754 0.004169626 0.0041713626 0.004263404 0.004228671 0.0064932248 0.0071301246 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006501713 6.0055983e-05 4.8741087e-05 6.092636e-06 8.52969e-05 3.1333555e-05 0.00012533422 7.398201e-05 6.440787e-05 8.703765e-06 1.740753e-05 8.703765e-06 2.001866e-05 1.0444519e-05 6.9630123e-06 6.092636e-05 0.0016162893 1.4796402e-05 1.5666777e-05 1.7407531e-06 1.3926025e-05 8.703765e-06 4.525958e-05 2.6981674e-05 4.3518826e-06 8.7037654e-07 1.3926025e-05 3.4815062e-06 3.4815062e-06 4.3518826e-06 5.2222595e-06 3.4815062e-06 0.0014248064 1.7407531e-06 5.2222595e-06 4.3518826e-06 2.6981674e-05 8.7037654e-07 1.7407531e-06 6.788937e-05 8.52969e-05 8.7037654e-07 8.7037654e-07 3.4815062e-06 3.4815062e-06 4.3518826e-06 1.7407531e-06 0.0001488344 0.0014796401 5.3963347e-05 3.9166945e-05 3.4815062e-06 3.829657e-05 1.3926025e-05 2.524092e-05 1.5666777e-05 3.6555815e-05 8.703765e-06 1.5666777e-05 4.3518826e-06 1.4796402e-05 1.0444519e-05 5.2222595e-06 1.740753e-05 0.0012655276 7.833389e-06 1.4796402e-05 5.2222595e-06 4.003732e-05 8.7037654e-07 3.2203934e-05 8.964878e-05 0.000113148955 8.7037654e-07 8.7037654e-07 5.2222595e-06 6.9630123e-06 4.3518826e-06 2.6111297e-06 0.00019235323 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020192736 1.3926025e-05 9.4871044e-05 6.0055983e-05 0.0001488344 8.964878e-05 0.00069978274 0.00030376142 2.0889038e-05 1.5666777e-05 8.703765e-06 1.740753e-05 2.785205e-05 8.703765e-06 1.2185272e-05 2.3500166e-05 0.0010992856 3.2203934e-05 1.740753e-05 4.003732e-05 7.05005e-05 6.440787e-05 3.829657e-05 7.746351e-05 8.52969e-05 2.6981674e-05 2.524092e-05 2.3500166e-05 3.742619e-05 1.5666777e-05 4.3518827e-05 8.52969e-05 0.0014578807 6.788937e-05 0.00012098234 0.000100093304 0.00017668644 0.000141001 0.0006884679 0.00034379875 0.000114889706 2.8722427e-05 2.001866e-05 1.740753e-05 8.355615e-05 3.1333555e-05 4.787071e-05 0.00012446386 0.0009635069 5.048184e-05 6.353749e-05 4.525958e-05 5.6574478e-05 5.6574478e-05 3.481506e-05 6.788937e-05 4.0907697e-05 4.8741087e-05 5.6574478e-05 7.311163e-05 6.614862e-05 5.831523e-05 4.7000332e-05 5.3092972e-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 0.004431087 0.00070761616 0.00056226325 0.0006562639 0.0016754749 0.0010522853 0.00042039188 0.0010740447 0.002630278 0.00023935355 0.00019322359 0.00017842719 0.001315139 0.00032378008 0.0008294689 0.0015362146 0.00307417 0.00057793 0.00040385473 0.0005274482 0.0011166931 0.0010096368 0.00042996602 0.0009443586 0.0018573835 0.00024283506 0.00034292837 0.00033857647 0.0009278214 0.00026285372 0.00070413464 0.0014996588 0.055334188 0.057497945 0.05645088 0.05822558 0.057034906 0.058023654 0.05799319 0.0599968 0.05800973 0.05792356 0.05808545 0.059548553 0.058104597 0.060042925 0.060089055 0.06346786 2548.0 5.9497647 15160.0 0.014577837 0.008641161 0.008113457 0.008641161 0.009366754 0.007453826 0.008113457 0.009498681 0.009300792 0.009498681 0.009498681 0.008113457 0.0107519785 0.00969657 0.009300792 0.009762533 0.010422164 0.009366754 0.008641161 0.009300792 0.011609498 0.010092348 0.009828496 0.0096306065 0.0107519785 0.009300792 0.00883905 0.009498681 0.009432717 0.0085092345 0.009762533 0.0096306065 0.009300792 0.010620053 0.010290237 0.009828496 0.011279684 0.009828496 0.0098944595 0.010686016 0.009960422 0.008575198 0.0110158315 0.00883905 0.009168865 0.010883905 0.009432717 0.011807388 0.009564644 0.010620053 0.011279684 0.011147757 0.010686016 0.009366754 0.011279684 0.010883905 0.009366754 0.010949868 0.0098944595 0.010620053 0.009828496 0.009168865 0.00817942 0.00883905 0.008575198 0.01444591 0.009564644 0.011279684 0.011345646 0.020184696 0.007453826 0.00969657 0.010620053 0.013390501 0.0096306065 0.0096306065 0.012335093 0.011477573 0.015369393 0.014907652 0.013984169 0.008707124 0.015435357 0.011675462 0.0176781 0.011213721 0.010422164 0.011807388 0.011147757 0.010686016 0.009960422 0.0107519785 0.00969657 0.009762533 0.00969657 0.009432717 6.560586 1.0 0.0 0.0 10.0 575831.0 57344.0 0.0 0.0 53.0 0.0 1.0 0.0 0.0 0.0 961121660.0 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 20480.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 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 5.2506824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2053694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.659136 0.0 3.0111814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21500.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19572.0 0.0 1512.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 25668.0 1512.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 24576.0 0.0 0.0 0.0 0.0