Input: 0.2328799 0.08051671 0.080285534 0.09790255 0.11077719 0.08763136 0.0009700809 0.00085125136 0.0011061947 0.0007216192 0.00081452227 0.000829646 0.00095495716 0.00084909087 0.0008231644 0.0010521812 0.0010781077 0.0007389035 0.0008404487 0.000829646 0.00093119126 0.00092687015 0.0010003285 0.00097224145 0.00092687015 0.0009247096 0.0012012583 0.0011429238 0.00086853566 0.00086205406 0.00087285676 0.00085557246 0.0010348969 0.0010543418 0.0010435391 0.002424122 0.0025969648 0.0011818134 0.0010046494 0.00079723797 0.0010046494 0.0011645291 0.0011321211 0.0011969372 0.0010521812 0.0011861345 0.0008339671 0.00091606745 0.0009225491 0.00090310426 0.0010824287 0.00084909087 0.0011731713 0.0009852046 0.0007583483 0.0010824287 0.00095711765 0.00096792035 0.000946315 0.0007821142 0.00087501726 0.0010478602 0.0010219337 0.00079723797 0.008804186 0.0011731713 0.00085557246 0.00076266937 0.0017932453 0.0009225491 0.0011472449 0.0009635993 0.0009225491 0.0010327365 0.0009527966 0.0010565023 0.0010716261 0.0010759472 0.0011710108 0.00081020116 0.001062984 0.024560979 0.0011429238 0.0013244089 0.0014000277 0.0008188433 0.0009657598 0.010556381 0.00095495716 0.0010132917 0.0010284154 0.0013028035 0.0009852046 0.0011040341 0.0010132917 0.0012336663 0.00086205406 0.0011299606 0.0013805828 0.0009355123 0.0010262548 0.0043275547 0.0010046494 0.0025472725 0.0040531666 0.0010219337 0.002307453 0.0008166828 0.0009852046 0.0011731713 0.0009074253 0.0011018736 0.0009117464 0.0020244226 0.0025105434 0.0010759472 0.0013762617 0.0013049641 0.0009247096 0.0065269805 0.0010219337 0.002359306 0.0011105158 0.0010132917 0.00096143875 0.00092687015 0.0010737866 0.0007389035 0.0010197732 0.0012466295 0.00086853566 0.001155887 0.0013524959 0.0008944621 0.0009960074 0.000857733 0.001099713 0.001687379 0.0007151376 0.0017824426 0.001095392 0.0010111311 0.00092038856 0.0008469303 0.0011256395 0.00087285676 0.000918228 0.0009592782 0.0009225491 0.0008339671 0.0009074253 0.0008015591 0.0011299606 0.00087285676 0.00089662266 0.00086637517 0.0007583483 0.0010802683 0.0011083552 0.00088581996 0.0010219337 0.0007885958 0.00085125136 0.00086205406 0.0011040341 0.000829646 0.0009916862 0.0010176126 0.0010845893 0.0010327365 0.0010132917 0.0007929169 0.001062984 0.0012099005 0.0013265694 0.0010111311 0.0009852046 0.0011580476 0.00086853566 0.0008469303 0.0008836594 0.0008015591 0.001067305 0.0007713115 0.0008404487 0.00086637517 0.00090310426 0.00080371957 0.00090958585 0.001039218 0.0010716261 0.0007540272 0.0011753319 0.0010932315 0.0010089705 0.000918228 0.00089662266 0.00081020116 0.0009052648 0.0016074391 0.0010478602 0.0008469303 0.00082748546 0.0007000138 0.00077995367 0.00077995367 0.0011061947 0.00081020116 0.0008231644 0.0007367429 0.0011191579 0.00089014106 0.0009765625 0.00084476976 0.0011213184 0.0011472449 0.0010456997 0.0010132917 0.0008642146 0.00095495716 0.0008944621 0.0007777931 0.00088581996 0.0010240943 0.0011169973 0.000829646 0.00095063605 0.0009419939 0.00097440195 0.00082100386 0.0006546426 0.0008166828 0.00090958585 0.00097224145 0.0009852046 0.00093335175 0.0010435391 0.0009290307 0.00087285676 0.0009009437 0.0011990977 0.00097224145 0.0010327365 0.0009419939 0.0009852046 0.0008231644 0.0007583483 0.0011666897 0.0011472449 0.0011321211 0.0010111311 0.0010889104 0.0009635993 0.0009009437 0.0009700809 0.0016182419 0.29681763 1.840528e-05 3.139724e-05 1.9487943e-05 2.0570607e-05 2.0570607e-05 1.5157289e-05 1.840528e-05 1.9487943e-05 1.9487943e-05 2.165327e-05 2.0570607e-05 1.5157289e-05 1.9487943e-05 1.840528e-05 2.165327e-05 0.010703212 3.5727895e-05 3.5727895e-05 3.2479908e-05 3.5727895e-05 3.4645233e-05 2.7066588e-05 2.3818597e-05 2.2735934e-05 1.7322616e-05 1.840528e-05 1.840528e-05 1.6239954e-05 2.4901261e-05 1.4074626e-05 2.5983925e-05 0.022678552 8.877841e-05 0.000111514346 0.00012558897 0.00012667163 0.00011259701 0.00012667163 0.00012775429 9.852238e-05 0.00011259701 0.00012017565 0.00010826635 0.000111514346 0.000110431676 0.000111514346 0.00011909299 0.03360263 0.00027174855 0.00025117793 0.00027174855 0.0003497003 0.0002576739 0.00066692074 0.00042332144 0.00019379678 0.00020354074 0.00021220205 0.00020245808 0.00019487944 0.00019054877 0.00017755682 0.00022411135 0.022829043 0.0002490126 0.0002847405 0.00023277265 0.0002490126 0.0002966498 0.00023818598 0.00021869803 0.00027716186 0.00024576462 0.00021003673 0.00024143397 0.0002490126 0.00026092192 0.0002641699 0.00026092192 0.023386614 0.00030422845 0.000344287 0.00029231916 0.00031505508 0.00064310216 0.0004926119 0.00044389206 0.00031288975 0.00032479907 0.00032588173 0.0003085591 0.00034645232 0.00031505508 0.00033995634 0.00032912972 0.03246475 0.00070156594 0.0006420195 0.00056515035 0.00087695743 0.000685326 0.00061278755 0.00061278755 0.00066908606 0.0005640677 0.0006625901 0.00055865437 0.00069831795 0.00059871294 0.0005748943 0.00064093684 0.07859488 0.0007567818 0.0022411135 0.0007903444 0.0021826497 0.03342074 0.0096173 0.010364338 0.0007134753 0.00079684035 0.00080874964 0.00075786444 0.00074595516 0.0007297152 0.000794675 0.00080874964 0.021290578 0.0006084569 0.0006593421 0.0005965476 0.0006799127 0.0006907393 0.0007102273 0.0006712514 0.0006701687 0.0006344408 0.0007037313 0.00056839833 0.0006376888 0.0006171182 0.0006506808 0.0006528461 0.027265798 0.0009592399 0.0011118954 0.0011367967 0.0021480045 0.001145458 0.0010696716 0.0012039219 0.0009960504 0.0009646532 0.0011238047 0.0010155383 0.0009906371 0.0010999861 0.0009863065 0.0011281354 0.05190397 0.0027521306 0.0029080343 0.002274676 0.00733288 0.0026124672 0.0024186703 0.0023699505 0.0026925842 0.0025269366 0.0025150273 0.0023482973 0.0021631618 0.0021599138 0.0019650343 0.0021826497 0.017808732 0.0009863065 0.0013522467 0.0011140608 0.0012288231 0.0016737978 0.0012396497 0.0012851217 0.0011281354 0.0010285303 0.0012255751 0.0010350263 0.0010631756 0.0011108128 0.0010729196 0.0011238047 0.02366053 0.001843776 0.0021101113 0.0018589332 0.0020733005 0.0020938714 0.0021068633 0.0020743832 0.0020180847 0.0018892478 0.0019217278 0.0017420056 0.0018924959 0.0018838345 0.001946629 0.0020992847 0.018102134 0.0018686772 0.0026308724 0.0019542077 0.0023699505 0.0023818598 0.002104698 0.0020245807 0.0030217138 0.0020029275 0.0019931835 0.001840528 0.0021415085 0.0020040101 0.0020310767 0.002525854 0.011981837 0.0018535199 0.0026698483 0.0019314718 0.0024922914 0.0023537106 0.002081962 0.0020808794 0.0027434693 0.0018784212 0.0020321594 0.0018394453 0.00208521 0.0019856049 0.0018816692 0.0024543982 0.005408987 0.0016835418 0.0022638494 0.001982357 0.0020743832 0.0021469218 0.00205273 0.0019585383 0.0020061755 0.0017539149 0.0021371779 0.0019910182 0.0019888529 0.0020343247 0.0018524373 0.0021415085 1455.0 7.2364264 10529.0 0.0036090796 0.001709564 0.0016145883 0.06562827 0.0049387407 0.0049387407 0.0018995156 0.0019944913 0.0029442492 0.0031342008 0.001709564 0.0037990313 0.0026593218 0.0022794188 0.003039225 0.0028492734 0.0020894671 0.0020894671 0.0020894671 0.0029442492 0.0037990313 0.001709564 0.0023743946 0.0035141038 0.0024693704 0.0031342008 0.0025643462 0.0019944913 0.0029442492 0.0027542976 0.0019944913 0.0019944913 0.06762276 0.0037990313 0.0032291766 0.0023743946 0.003419128 0.0031342008 0.0039889826 0.0020894671 0.0024693704 0.0022794188 0.002184443 0.00427391 0.0022794188 0.0033241524 0.0031342008 0.0023743946 0.002184443 0.0026593218 0.0036090796 0.0033241524 0.003419128 0.0025643462 0.0022794188 0.003039225 0.0041789343 0.0032291766 0.0035141038 0.0019944913 0.0023743946 0.0024693704 0.00427391 0.0045588375 0.002184443 0.005223668 0.0058884984 0.0041789343 0.006173426 0.13970937 0.0035141038 0.065343335 0.1368601 0.0040839585 0.065438315 0.0025643462 0.0037040554 0.0022794188 0.0029442492 0.003419128 0.0024693704 0.003894007 0.0670529 0.0036090796 0.003894007 0.0027542976 0.0026593218 0.06885744 0.0028492734 0.064773485 0.0015196125 0.0024693704 0.0024693704 0.0022794188 0.0026593218 0.0014246367 4.7610416 0.0 0.0 0.0 5.0 462848.0 471040.0 0.0 0.0 9.0 0.0 1.0 0.0 0.0 0.0 1541584800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 5.0 0.0 413696.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -413696.0 -4096.0 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 0.0 0.0 0.0 -3.9930027 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.968883 -4.554853 3.1663413 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -411010.0 -428.0 728.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 462900.0 728.0 466944.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.1701179 0.008135069 0.003984429 0.0041089715 0.011082416 0.0025302004 0.0030519818 0.003665434 0.0150497155 0.005077994 0.0015894196 0.0012116256 0.0053914334 0.0019459162 0.0010204138 0.0045562126 0.0046927924 0.0018496158 0.0007731811 0.0014625622 0.0031890247 0.007065116 0.0012463494 0.0007875335 0.002832991 0.00062734156 0.00058382115 0.0005916919 0.0034617216 0.0005662278 0.0008116086 0.0011143993 0.0064220326 0.0008893897 0.00094216975 0.00060511834 0.020856444 0.0035436694 0.00072641985 0.0006203968 0.0025288113 0.0005634499 0.00060234044 0.0016000682 0.0018653573 0.0011083805 0.0010472669 0.0009782824 0.0055414396 0.0039441492 0.0030288326 0.0062961015 0.0041686962 0.002862622 0.0032468976 0.0029316063 0.004354352 0.0036520073 0.0028441027 0.004733998 0.003665434 0.0027866927 0.0026075186 0.0026390012 0.0031950434 0.0038367375 0.00264965 0.0016861829 0.007852186 0.005779413 0.0030042946 0.001925082 0.0027431725 0.0012782952 0.0012593128 0.0010556005 0.005403934 0.0034973712 0.0023876016 0.0013644099 0.008161922 0.0042413846 0.01282462 0.005451621 0.0044798204 0.0032468976 0.0049293768 0.004737239 0.0036209875 0.0052520754 0.0009005013 0.0015676593 0.002434363 0.00192323 0.005900251 0.0024843651 0.0014259866 0.0029098461 0.0021908341 0.0020301791 0.004564546 0.0039538722 0.0021727777 0.0011597716 0.008289242 0.0023195432 0.00396128 0.0010907872 0.0027885446 0.0014051525 0.0022778749 0.0024940877 0.002428807 0.0010713419 0.0027978043 0.0025306633 0.008598515 0.006532686 0.0014736739 0.0013407979 0.0019681393 0.0012134776 0.0007991081 0.00070280774 0.0023713973 0.0018361893 0.0013306122 0.00089124165 0.0031482822 0.0017736866 0.00171211 0.008974919 0.0054965303 0.0046918667 0.0030709642 0.00071484526 0.0022380583 0.0088587105 0.001152364 0.026771974 0.0026695582 0.014357093 0.00054724555 0.0008213313 0.001175513 0.0007426242 0.00040973967 0.0005014102 0.0013343161 0.00066993595 0.00063428626 0.0005773394 0.0010926392 0.00056576484 0.00033519947 0.00040418387 0.0014857114 0.00055002345 0.00040279495 0.0005407638 0.0012407936 0.0024264923 0.00041807335 0.0011454192 0.001229682 0.0013264454 0.0008667036 0.00045326006 0.0016940536 0.0016412736 0.0021348132 0.00043242582 0.0013232045 0.000533819 0.0018385042 0.0021320353 0.0013199636 0.00083059096 0.00038103474 0.0007917004 0.0011130103 0.00054724555 0.0010787497 0.0008092937 0.0021737036 0.0041927714 0.0004731683 0.000587525 0.0012315339 0.0005157627 0.0005222445 0.0006065073 0.0048765964 0.002702893 0.0021190718 0.0055432916 0.005556255 0.00084864727 0.0056868163 0.004169159 0.0024473264 0.0013968188 0.0017672048 0.0009991166 0.031873118 0.0016250692 0.0018875804 0.0017144249 0.0030098504 0.0017204436 0.0014227458 0.0010287475 0.009269376 0.0010287475 0.0013310752 0.001149586 0.0018797097 0.00095096644 0.00057132065 0.0011046766 0.0014718219 0.00066391716 0.00061345205 0.0006389161 0.0017496116 0.0009412438 0.0006500277 0.00079494127 0.001764427 0.001016247 0.0009958758 0.00070697453 0.012885271 0.002623723 0.0006861403 0.0024519563 0.004618715 0.0006592873 0.00067595474 0.0007041967 0.0026630764 0.0014954341 0.00091855763 0.00092411344 0.001683405 0.0007541988 0.0044881543 0.0024950136 0.0030117023 0.0018389672 0.0013648729 0.0011690313 0.0047534434 0.0033311604 0.003928871 0.10937873 0.036559016 2.0846921e-06 6.9489744e-07 1.1581624e-06 2.3163248e-06 4.6326494e-07 9.265299e-07 6.9489744e-07 4.6326494e-07 8.338769e-06 6.9489744e-07 2.3163248e-05 2.246835e-05 4.6326495e-06 2.3163247e-07 0.009387832 0.0014604428 9.496931e-06 1.4824478e-05 1.0655093e-05 2.0846921e-06 2.0846921e-06 0.0 3.2428545e-06 1.968876e-05 6.9489744e-07 1.1118359e-05 7.643872e-06 1.1813256e-05 1.6214273e-06 6.9489744e-07 0.003187726 0.0013846989 9.05683e-05 0.0001484764 6.323567e-05 4.1693846e-05 8.431422e-05 0.00017071313 0.00010122339 8.91785e-05 3.474487e-05 6.4393826e-05 0.00014036927 0.00027471612 0.00013318867 0.00014662335 0.020751027 0.0023489848 4.0767314e-05 5.4202e-05 7.6438715e-05 6.20775e-05 6.601525e-05 7.412239e-05 0.00012832439 8.5935644e-05 3.5903035e-05 0.00010238155 0.000112341746 0.00019433965 0.00015171927 8.292442e-05 0.009191872 0.00248449 3.0807118e-05 7.13428e-05 0.00010516114 0.00012786113 0.0001169744 0.0001498662 0.000178357 0.00023418044 7.713361e-05 0.00020985902 0.0001269346 0.00032729667 0.00024506715 0.00019410801 0.011923976 0.0031439476 5.698159e-05 0.00013666316 0.00021009066 0.00013643152 0.00015565702 0.00018437945 0.00013967438 0.00024715185 0.00010284482 0.00041068438 0.000109330525 0.00041369558 0.00025873346 0.00019040189 0.009283598 0.00814165 0.00047832105 0.00041346397 0.00048527002 0.00029301507 0.00017882026 0.0010868196 0.00060826686 0.00030505998 0.000115584604 0.00038080377 0.00018021006 0.00044705067 0.00032961302 0.0011245756 0.0077274907 0.017881332 0.00035555585 0.0017307579 0.0006383791 0.0008994289 0.000438017 0.005629364 0.0029285294 0.00025201612 0.00018461108 0.00029718445 0.00015704682 0.0003316977 0.0003557875 0.0007148178 0.004207372 0.009230786 0.00011442644 0.00093440537 0.0008540289 0.0012559113 0.0006349046 0.0025991478 0.0015158029 0.00027494776 0.00024993144 0.0021574248 0.00035208135 0.00059529545 0.0008697799 0.00031154568 0.0027175122 0.00743934 0.00011373154 0.0023242002 0.0038592287 0.003415884 0.0030070527 0.006450964 0.0037987726 0.0009466819 0.000121375415 0.0027142693 0.00022862125 0.00092166563 0.0013951224 0.001181094 0.00145581 0.0071775955 0.00022792636 0.0005656465 0.00082507485 0.0011519083 0.002301037 0.0020346597 0.0010620349 0.0016276814 0.00016075294 0.0013879418 0.00010747747 0.0004116109 0.00057259545 0.00024831 0.0010106125 0.011972387 0.0022938563 0.0034659167 0.03116059 0.002739749 0.0060145687 0.0031576138 0.0026487173 0.0035947044 0.002236643 0.003417737 0.0032701872 0.009447825 0.0038226307 0.0022679134 0.0043143863 0.008729301 0.00095247274 0.0018681159 0.0015146447 0.0019023975 0.0031048018 0.0015410508 0.0012040256 0.0042620376 0.00073774945 0.0011268919 0.0006640903 0.003916442 0.0014810581 0.0012786112 0.0050901235 0.089810394 0.017627694 0.024529416 0.011416006 0.02297493 0.038444273 0.01385556 0.0123694055 0.05022788 0.0042682914 0.0050037247 0.0076508205 0.042596515 0.012190585 0.016396105 0.033864204 0.03242067 0.007925768 0.007432623 0.0066554956 0.012697166 0.016476713 0.0065206857 0.009915492 0.02374951 0.0020719524 0.0024279715 0.003096463 0.014361445 0.0050391643 0.008796938 0.018780066 0.002315398 0.0013423102 0.0012207031 0.0014620642 0.0012387704 0.0011702073 0.0015929365 0.0012985317 0.0011317562 0.0010166349 0.0011296716 0.0009513146 0.0009786471 0.0010022738 0.0009821217 0.0010907573 9763.0 15.984636 156058.0 0.025426444 0.0060234014 0.0062220455 0.0015827449 0.01271963 0.00072408974 0.0026784914 0.0024670316 0.0048123132 0.0012623512 0.000762537 0.0049084313 0.005171154 0.004902024 0.004421433 0.007484397 0.02534955 0.027739687 0.018403415 0.019371003 0.019614503 0.017352523 0.021613758 0.017986903 0.020992195 0.0184739 0.018800702 0.013328378 0.018018942 0.016173474 0.0144753875 0.012104474 0.0042804596 0.012226224 0.0057222317 0.007426726 0.010835715 0.0056581525 0.006446321 0.008394315 0.006273309 0.006741083 0.0034986993 0.0037421985 0.010355124 0.0072921608 0.0048571685 0.0045047356 0.013860231 0.012053211 0.007881685 0.010393572 0.010797268 0.008599367 0.010041138 0.009579771 0.005453101 0.008419947 0.0060426253 0.002998885 0.005280088 0.003152674 0.029662048 0.008913353 0.0027169385 0.022030272 0.013193812 0.017076984 0.01503928 0.026605492 0.011707186 0.008874905 0.011233003 0.015064912 0.0057799025 0.004799498 0.015724923 0.010226967 0.0150585035 0.01974266 0.01105999 0.008887721 0.019178767 0.013949942 0.027002782 0.009297825 0.0067987544 0.0070678852 0.00702303 0.0069717667 0.0036973434 0.0007817606 0.0051647467 0.0026144127 0.0020953747 0.0007817606 6.262851 0.0 54.0 0.0 11.0 2159908.0 2183168.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1283438000.0 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 1227264.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -148480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 257536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1227264.0 0.0 377344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5121436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8502784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4929266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4278846 0.0 6.050479 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 257206.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -158048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1226971.0 0.0 376856.0 0.0 0.0 0.0 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 0.0 320.0 1464880.0 376856.0 1650688.0 0.0 0.0 5568.0 2028032.0 127988.0 2031616.0 28.0 1252512.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1360784.0 0.0 0.0 2352.0 1232896.0 64.0 1464648.0 0.0 0.0


Input: 0.056715548 0.008303248 0.0061727758 0.0056598457 0.0057582865 0.004966613 0.004201881 0.005420478 0.005050547 0.005632904 0.003755269 0.004473371 0.004957287 0.0031677312 0.0043210466 0.004645384 0.005037076 0.0037718487 0.0049355263 0.0041562873 0.0043459157 0.0031739485 0.0041055125 0.0038454204 0.005068163 0.0033480339 0.00316255 0.002933545 0.004160432 0.0034371489 0.0037894645 0.0037925732 0.0061665582 0.0038164062 0.0034827427 0.003026805 0.004898222 0.0041583595 0.003842312 0.003721074 0.004725173 0.003895159 0.0033355993 0.003096232 0.0043707853 0.0037335085 0.0037241825 0.0035801476 0.005517883 0.0039417893 0.003101413 0.0029086757 0.003679625 0.0030703263 0.0026807068 0.0028610094 0.004173903 0.003306585 0.0035273002 0.00335736 0.0040049986 0.0032164336 0.003506576 0.003455801 0.0065976265 0.0039428254 0.003615379 0.0032164336 0.0041521424 0.0032216148 0.0035386987 0.0030682539 0.004999772 0.0037708124 0.003702422 0.0035925824 0.0041252007 0.0031221374 0.0035604595 0.0034692718 0.0051603867 0.0036247051 0.0036589005 0.0033324906 0.003930391 0.0033780844 0.0033646135 0.0035376626 0.0046505653 0.0036433572 0.0038039717 0.0035086484 0.0041106935 0.003386374 0.0036848062 0.0037894645 0.00591372 0.0036257415 0.0033407803 0.0029594505 0.00400189 0.0030496018 0.0032640998 0.00302266 0.0049738665 0.0031656588 0.003194673 0.0030485657 0.0035749665 0.0028340677 0.003086906 0.003194673 0.004513784 0.0032858606 0.0032216148 0.0031376807 0.003895159 0.0033293818 0.003287933 0.003627814 0.004621551 0.0032868967 0.0034827427 0.003171876 0.004032977 0.003194673 0.0034671994 0.0033469975 0.008652455 0.00459979 0.00401018 0.0035221193 0.0043718214 0.0034381852 0.003017479 0.0033915553 0.0045438344 0.0038329859 0.0029542695 0.0031905281 0.0037303998 0.0027905463 0.0028454661 0.0029884647 0.0052308496 0.0032071075 0.0035034672 0.003026805 0.0036620093 0.0031801658 0.0033034764 0.0032568462 0.0045427983 0.0028382125 0.0030423484 0.002700395 0.003511757 0.0032309408 0.0029905373 0.0031511516 0.005010134 0.003409171 0.0032640998 0.0027998723 0.00377703 0.0030102255 0.0030610003 0.0031801658 0.0041438527 0.0030029719 0.0031221374 0.0030154067 0.0036454296 0.0028330314 0.0029190378 0.0030247325 0.004665072 0.0031169562 0.0038412756 0.0028641182 0.0035666768 0.003157369 0.0029946822 0.003120065 0.00425162 0.0031470067 0.0033366354 0.0031801658 0.003651647 0.0031936367 0.0033293818 0.0033521787 0.0067240456 0.004055774 0.0037231464 0.0033387078 0.004118983 0.0032537377 0.00330244 0.0032247235 0.0043345173 0.0033304181 0.0031148838 0.0030910508 0.0036454296 0.0029884647 0.0030744711 0.0027946911 0.0042412574 0.003270317 0.0030941595 0.0029998631 0.0037158928 0.0030330224 0.0029387262 0.002948052 0.0039801295 0.0031086665 0.0027314816 0.0026340769 0.0035231553 0.002947016 0.0035791113 0.00289106 0.0049707578 0.0032330132 0.0034039898 0.00297603 0.0038029354 0.0030765436 0.0031957093 0.0029076394 0.0044360673 0.0054494925 0.0034640909 0.0031345722 0.0037936093 0.0030900144 0.0032527014 0.0031894918 0.004613261 0.0033242009 0.0034205695 0.0030371672 0.0037376534 0.0030941595 0.0033138385 0.0032444117 0.004351097 0.0030330224 0.003185347 0.0028651543 0.0040132883 0.0030900144 0.0042194966 0.0045179287 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099244595 0.06201535 0.062465236 0.055315364 0.060571782 0.059555784 0.054915816 0.054463338 0.060471635 0.053143784 0.05212208 0.052960612 0.056433067 0.05055086 0.056673836 0.05383651 4014.0 5.703787 22895.0 0.017121643 0.01043896 0.009347019 0.008648177 0.013452719 0.012448133 0.011792968 0.011487224 0.012535488 0.009783796 0.008473466 0.008604499 0.013889495 0.010526316 0.011792968 0.010002184 0.016772222 0.011880323 0.008779209 0.007556235 0.009827473 0.008473466 0.007818301 0.008342433 0.010307928 0.008473466 0.009609085 0.008866564 0.011530902 0.00895392 0.00969644 0.009215986 0.018082552 0.010875737 0.010395283 0.009041276 0.010919414 0.008822887 0.010657349 0.008298756 0.014282594 0.0116182575 0.009783796 0.00895392 0.011487224 0.009347019 0.011705613 0.009565407 0.014806726 0.009609085 0.009958507 0.008997598 0.012098712 0.009347019 0.009565407 0.009783796 0.013714785 0.009215986 0.010569993 0.009565407 0.011137803 0.009871151 0.010395283 0.010701027 0.017951518 0.01100677 0.00969644 0.008211399 0.013103298 0.0082550775 0.009390697 0.008342433 0.015461891 0.009303342 0.0089102425 0.008691854 0.011356192 0.007993012 0.009914828 0.007861978 0.013278008 0.008036689 0.008735532 0.008822887 0.011399869 0.009390697 0.008211399 0.007861978 0.010875737 0.008822887 0.011924 0.008517143 0.011312514 0.008997598 0.009958507 0.008779209 6.554492 0.0 0.0 0.0 14.0 965044.0 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: 0.0096678315 0.0039448165 0.0036541894 0.0036307739 0.0038318716 0.0035453765 0.0037630026 0.003775399 0.0037051525 0.00393793 0.0037313227 0.0047189044 0.0038552869 0.0036734727 0.0037946822 0.0038001917 0.0036514348 0.0037271907 0.0037698895 0.003812588 0.003670718 0.0036955108 0.003975119 0.0038236072 0.0037120394 0.0038001917 0.003743719 0.003812588 0.0037588703 0.003917269 0.0038539097 0.0040770452 0.0036156229 0.0036941334 0.0037051525 0.0037740215 0.0037340776 0.0038222298 0.003819475 0.0037382096 0.003786418 0.0038855893 0.003779531 0.0038800798 0.0036955108 0.003797437 0.0038456453 0.0039985343 0.0036762275 0.0038484 0.003808456 0.0037850405 0.004015063 0.003804324 0.003943439 0.0038690607 0.0038745704 0.00393242 0.0038057012 0.0039296653 0.004046743 0.0039186464 0.0039737415 0.0038924762 0.003482017 0.0036059811 0.0037450965 0.0037767764 0.0036720955 0.0039764964 0.004024705 0.003895231 0.0038690607 0.0038277393 0.0038428905 0.0038277393 0.0038208524 0.0038607966 0.0038580417 0.0040453654 0.0037327001 0.0039337976 0.003837381 0.0037492288 0.0038525322 0.003943439 0.003993025 0.0039337976 0.0038470225 0.0040371013 0.0037299453 0.0038208524 0.0039393073 0.00393793 0.003797437 0.0040081763 0.0036844919 0.003877325 0.0038552869 0.0039544585 0.0039034951 0.0039627226 0.0038497774 0.0039475714 0.003837381 0.0039076274 0.0039048726 0.0039186464 0.003909005 0.0038855893 0.0039103823 0.004055007 0.003710662 0.0037960596 0.0038855893 0.0038842119 0.0039875153 0.003819475 0.0040109307 0.0039420617 0.0039448165 0.003977874 0.0039985343 0.003935175 0.0040288367 0.004030214 0.003957213 0.0038883442 0.0034737526 0.0036638312 0.0036390382 0.0038842119 0.003670718 0.0038842119 0.0039682323 0.0038621738 0.0036156229 0.003953081 0.0038497774 0.004088064 0.0038552869 0.0038484 0.003841513 0.0041004606 0.0037630026 0.0039034951 0.00393793 0.0039475714 0.0038057012 0.0039007405 0.003961345 0.0038910988 0.0038263618 0.003841513 0.0039475714 0.003946194 0.0038470225 0.003928288 0.0038690607 0.004090819 0.0035701692 0.0038800798 0.0038814573 0.003972364 0.0038180978 0.0038676835 0.0037327001 0.003902118 0.0037905502 0.0037946822 0.00393793 0.0038979857 0.0039406847 0.0038883442 0.003804324 0.0039875153 0.0037740215 0.0038855893 0.0039544585 0.0040109307 0.003935175 0.0038001917 0.003877325 0.0039034951 0.0038222298 0.003972364 0.003935175 0.003943439 0.003935175 0.0040109307 0.0039475714 0.004026082 0.003786418 0.0038484 0.0038883442 0.0038842119 0.0038112109 0.0038676835 0.0039517037 0.00393793 0.0038401356 0.0039117597 0.0039420617 0.003983383 0.003870438 0.0039944025 0.0039475714 0.0040963283 0.0037092846 0.004088064 0.003909005 0.003917269 0.0038539097 0.004050875 0.0038910988 0.0039517037 0.0037368322 0.004017818 0.003815343 0.003935175 0.003921401 0.003924156 0.003975119 0.0040687807 0.0036390382 0.0039365524 0.0037740215 0.003928288 0.003779531 0.0039585903 0.003909005 0.003993025 0.0038208524 0.0039599678 0.0040522525 0.0041362727 0.0040605166 0.0040798 0.00390625 0.004225802 0.0039875153 0.0040233275 0.004059139 0.004088064 0.003977874 0.00404812 0.003953081 0.004148669 0.003928288 0.0041032154 0.0039985343 0.003997157 0.0040026666 0.0040109307 0.0040233275 0.004242331 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013179455 2.7586511e-06 1.3793256e-06 6.896628e-06 0.0 6.896628e-07 0.0 4.8276393e-06 2.7586511e-06 0.0 0.0 0.0 4.1379767e-06 6.896628e-07 2.7586511e-06 6.758695e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011517368 4.1379767e-06 1.1724267e-05 2.3448534e-05 3.3103814e-05 2.2758872e-05 7.655257e-05 2.5517524e-05 5.5173023e-06 1.3793256e-06 2.0689884e-06 4.8276393e-06 3.448314e-06 1.3793256e-06 2.0689884e-06 4.2759093e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00065724866 2.6207186e-05 5.8621335e-05 4.0690105e-05 7.655257e-05 5.8621335e-05 0.00017448468 8.482852e-05 9.379414e-05 9.6552785e-06 4.8276393e-06 9.6552785e-06 2.8965836e-05 1.3793256e-05 2.2758872e-05 5.172471e-05 0.0011869096 0.00011379436 0.000113104696 9.586313e-05 0.000104828745 0.00011655301 0.00010069077 0.00012207031 0.00023379568 5.2414372e-05 5.3104035e-05 7.862156e-05 0.00012275997 7.103527e-05 9.931144e-05 0.00016000177 0.0025172692 0.00027931342 0.00031172758 0.00028483072 0.00037310756 0.00033379678 0.0003241415 0.00032276218 0.0005503509 0.00020414019 0.00018207097 0.00025448555 0.0003089689 0.00022620939 0.00027172713 0.00031724488 0.00041931498 6.48283e-05 6.827662e-05 8.3449195e-05 9.241481e-05 5.8621335e-05 6.275931e-05 7.5173244e-05 7.448358e-05 5.724201e-05 4.8966056e-05 7.379392e-05 6.9655944e-05 5.8621335e-05 5.6552348e-05 4.8276393e-05 0.058629613 0.060384113 0.060075834 0.061669648 0.060526185 0.06158551 0.06167999 0.06223034 0.060318597 0.062169652 0.061460678 0.06239862 0.062104132 0.062481377 0.062789656 0.06395932 3380.0 5.693491 19244.0 0.011172313 0.00966535 0.008210352 0.0113801705 0.009093744 0.010133028 0.010081064 0.010288921 0.010081064 0.008366244 0.0107566 0.009353565 0.010912492 0.010236957 0.009769279 0.010964456 0.009561421 0.011588028 0.009353565 0.010184993 0.0105487425 0.010133028 0.010964456 0.010133028 0.00966535 0.009769279 0.00904178 0.011328206 0.010081064 0.010392849 0.009509457 0.009873208 0.007898565 0.009353565 0.0097173145 0.010652671 0.010340885 0.0097173145 0.009457493 0.010184993 0.010184993 0.010236957 0.010236957 0.008626065 0.009561421 0.010496778 0.009561421 0.0113801705 0.010081064 0.010912492 0.010340885 0.010860528 0.009821243 0.00966535 0.011639992 0.009561421 0.010236957 0.010704636 0.0113801705 0.0097173145 0.009769279 0.0107566 0.010288921 0.011224277 0.008989815 0.011536064 0.011328206 0.011588028 0.012003741 0.011847849 0.009145708 0.010340885 0.010081064 0.011588028 0.010133028 0.010704636 0.0130949905 0.0113801705 0.011016421 0.011588028 0.010704636 0.010808564 0.0122635625 0.011536064 0.01247142 0.011432135 0.010496778 0.010236957 0.0107566 0.011795884 0.0105487425 0.009613386 0.010808564 0.011068385 0.010704636 0.011224277 6.579181 0.0 0.0 0.0 6.0 726016.0 950272.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 1011359900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4.0 20.0 4.0 0.0 4.0 0.0 740352.0 1024.0 4096.0 7.0 2.0 0.0 1.0 7.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -681984.0 -1536.0 33280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6199594 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.3381134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9990945 -7.1305346 7.978318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -741376.0 -4096.0 163840.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 96.0 942620.0 162724.0 761856.0 0.0 0.0 0.0 0.0 8.0 942276.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.00970705 0.003852744 0.0033939981 0.004116113 0.0036627664 0.003537381 0.0035241828 0.0040153246 0.0035069848 0.003498186 0.0037607548 0.0033070084 0.0037387572 0.003554979 0.00388494 0.0037033616 0.0032646134 0.0038217476 0.003927335 0.003488587 0.0042456975 0.0040985146 0.0036127723 0.0033048086 0.004036922 0.003979929 0.003944533 0.0039147367 0.0046260525 0.0039217356 0.004620653 0.003817548 0.0036931627 0.0035109844 0.003734558 0.0046170535 0.0048356275 0.0038957389 0.003707361 0.0039471327 0.0039519323 0.0041197124 0.004382681 0.004045121 0.003941533 0.003943133 0.0040155244 0.0032068202 0.0033388047 0.004090116 0.0042125015 0.0036343697 0.0043176888 0.004024124 0.0039081373 0.0035261826 0.004256896 0.0043028905 0.0038627426 0.003825547 0.0040941155 0.0039561316 0.004011325 0.0036681658 0.00371476 0.0037593548 0.003767754 0.003674765 0.0035327817 0.004153508 0.0044794697 0.004314289 0.004440274 0.004711842 0.004231699 0.0040349225 0.0037069612 0.003953732 0.0040959152 0.004104514 0.0040231235 0.0043640835 0.0045316634 0.004097915 0.004196303 0.0041437093 0.0042109014 0.0037639544 0.0037117605 0.0038453448 0.0040725176 0.0041287113 0.0042756936 0.0036209712 0.0033398045 0.0031612257 0.003302409 0.0034233946 0.0036943625 0.0045532607 0.0041839047 0.0041499087 0.0036703653 0.003673565 0.003960931 0.0044948678 0.0043042903 0.0038817404 0.0038945389 0.00447687 0.004253296 0.003657167 0.0039507323 0.00473104 0.0045124656 0.004241698 0.003868742 0.003842345 0.004020324 0.0034333935 0.0035241828 0.0038565435 0.0037389572 0.003724159 0.0035625782 0.003656567 0.0033989975 0.003402797 0.003437193 0.0034753885 0.0036211712 0.003649368 0.0033224067 0.0036761647 0.0037479561 0.0035073848 0.0034771883 0.0038385454 0.0044718706 0.003707961 0.0043432857 0.004263495 0.0046006553 0.004314889 0.003869142 0.004577458 0.004866424 0.0041859043 0.003902538 0.0043390864 0.004265095 0.0039001382 0.0035021855 0.0037205594 0.004343086 0.0035235828 0.0039161365 0.0037655542 0.0039669303 0.0038053493 0.0036859636 0.0037825522 0.0038941388 0.004190704 0.0043182885 0.0043960796 0.0039827283 0.0041853045 0.0043050903 0.004426076 0.00397093 0.0038219474 0.0035365813 0.0042942916 0.003876541 0.0032984095 0.003327206 0.0040823165 0.003935934 0.0035845756 0.004018724 0.004152308 0.0043038903 0.0043044905 0.0044080783 0.004247897 0.0036549673 0.0036179717 0.0032958097 0.0035027852 0.003242616 0.0031696246 0.003436793 0.003615772 0.0033344051 0.0037259588 0.0038991384 0.003996927 0.004102114 0.0045830575 0.004102114 0.0043368866 0.0039741294 0.0040589194 0.0034903868 0.003960531 0.0036743649 0.0036797642 0.0035245826 0.0037851518 0.0042622956 0.004174506 0.0044546723 0.0037603548 0.0037123605 0.0035205833 0.0037623546 0.0037111605 0.0041405098 0.0044480735 0.0042922916 0.0036715653 0.0034763883 0.0033004093 0.0035429804 0.003691163 0.004236698 0.004133111 0.004297491 0.004080317 0.0038317463 0.0036151719 0.003487987 0.004061519 0.003961331 0.0033058086 0.0035833758 0.004212701 0.0038403452 0.003117231 0.0033889988 0.0036849638 0.0039635305 0.0033460038 0.0036601666 0.0035881752 0.0038195478 0.0034511914 0.0035179835 0.003429594 0.003522383 0.0035617782 0.0034477918 0.0033424043 0.0034263944 0.0039895275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00045987652 7.001165e-06 1.340223e-05 5.1008487e-06 1.310218e-05 1.910318e-05 2.0703445e-05 1.2001997e-05 1.7202863e-05 1.8002995e-06 1.3002164e-06 1.2001997e-06 3.7006157e-06 3.2005325e-06 3.400566e-06 3.240539e-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 0.00024244034 2.7004494e-06 1.8503079e-05 1.13018805e-05 1.41023465e-05 9.301548e-06 5.5509237e-05 2.9404893e-05 6.9011485e-06 2.4003994e-06 9.0014976e-07 8.0013314e-07 1.9003162e-06 1.5002496e-06 1.9003162e-06 1.0101681e-05 0.0004271711 1.5002496e-05 2.530421e-05 2.2103679e-05 7.251206e-05 4.0306706e-05 0.00017842969 0.00011791962 1.7202863e-05 7.901314e-06 6.401065e-06 4.8007987e-06 8.0013315e-06 5.5009154e-06 8.701448e-06 6.691113e-05 0.0001340223 2.9004827e-06 1.02016975e-05 5.4008988e-06 3.9206523e-05 1.8103012e-05 0.00010741787 7.09118e-05 4.8007987e-06 3.600599e-06 1.9003162e-06 1.700283e-06 2.1003495e-06 2.4003994e-06 2.1003495e-06 2.9004827e-06 0.00028504743 2.9904977e-05 5.4409054e-05 5.6809455e-05 4.4707438e-05 3.0405059e-05 6.631103e-05 4.7807956e-05 2.1303546e-05 6.101015e-06 8.901481e-06 5.9009817e-06 1.19019805e-05 9.501581e-06 1.2102014e-05 0.00012822133 0.00022823797 2.4304045e-05 4.0006656e-05 2.9404893e-05 3.7606256e-05 2.1203528e-05 3.490581e-05 4.020669e-05 2.3503912e-05 9.201531e-06 6.801132e-06 7.701282e-06 1.4202364e-05 1.0301715e-05 1.46024295e-05 7.231203e-05 0.0005443906 9.531586e-05 4.0406725e-05 9.861641e-05 0.00017152855 0.00014352388 7.8413046e-05 0.00014672441 0.00018523082 2.2303711e-05 2.740456e-05 2.2103679e-05 8.47141e-05 4.0606756e-05 0.00011981994 0.00022723782 0.0008935487 0.00021823631 0.00032665435 0.0003923653 0.00039556582 0.00026584422 0.0004290714 0.00039306542 0.0003017502 0.00012152022 0.000111018475 9.9616576e-05 0.00017222865 0.00011501914 0.00017892977 0.00029674938 0.06147553 0.062236454 0.06301979 0.062414385 0.06389363 0.06294478 0.06260392 0.060611587 0.060881432 0.064280294 0.063807614 0.060711704 0.061678663 0.061815985 0.060662296 0.05631057 25404.0 5.9317036 150689.0 0.0107838 0.009144662 0.010524988 0.011533689 0.013106464 0.009874643 0.009104845 0.008998666 0.009476472 0.01106252 0.010909887 0.010823617 0.010432082 0.009801645 0.012217215 0.00954947 0.008965485 0.010717438 0.012124309 0.009204388 0.01064444 0.010359084 0.0096622845 0.008905759 0.009868006 0.010836889 0.010657712 0.0100272745 0.010856798 0.00954947 0.010007367 0.008321775 0.008640313 0.009907823 0.009191115 0.009795008 0.009250841 0.0110824285 0.011938496 0.011719502 0.010538261 0.013710357 0.01064444 0.010106909 0.009177843 0.0110824285 0.011002794 0.009795008 0.010007367 0.011188607 0.012675112 0.010060456 0.010770528 0.010538261 0.0104453545 0.009330476 0.008786309 0.010219724 0.010724074 0.010757255 0.010637804 0.008607131 0.008567315 0.0076050675 0.008189051 0.010432082 0.00954947 0.012562297 0.012323394 0.014493427 0.009868006 0.009768464 0.009941004 0.012701657 0.0101002725 0.010465262 0.011049247 0.012774655 0.013537817 0.011327967 0.01196504 0.011779227 0.0143607035 0.012615386 0.012303486 0.010843526 0.0092442045 0.009084936 0.009230932 0.0107373465 0.008998666 0.009649012 0.008759763 0.008958849 0.007870515 0.007956785 6.5719166 0.0 35.0 0.0 133.0 5000592.0 200704.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1244324500.0 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 6.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 23040.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 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 -23040.0 0.0 10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.262078 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.617802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.481953 0.0 4.2832947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22738.0 0.0 10040.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 1.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 10040.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.12142791 0.010418006 0.0070548817 0.008063997 0.0073192166 0.005981468 0.0033577664 0.0037792732 0.012095103 0.0022075528 0.0020146598 0.0016378042 0.0065029934 0.0033095432 0.0015467159 0.008587309 0.0075621186 0.0016145855 0.0012966694 0.001823553 0.005779645 0.0023575807 0.0012216554 0.0011948647 0.0038274964 0.0017521111 0.0011787903 0.0012198694 0.0032220269 0.0011930787 0.0010626974 0.0013752554 0.004470473 0.0010180462 0.0015234972 0.0011430695 0.019046394 0.0024218783 0.0010073299 0.0010841299 0.0021968365 0.0013520368 0.0010198322 0.0051706033 0.0017181762 0.0011680741 0.0010769857 0.00095374853 0.003879292 0.0022629201 0.0022039807 0.0062690214 0.00280052 0.00474731 0.002255776 0.0023075715 0.0032416733 0.0031809479 0.0024218783 0.004938417 0.0026915714 0.0023807993 0.0021093204 0.0021682598 0.0043258034 0.0023093575 0.001786046 0.001903925 0.010346564 0.020509167 0.003109506 0.013297113 0.002836241 0.0014538415 0.0014645577 0.001203795 0.0043222313 0.007074528 0.001593153 0.001282381 0.0065780072 0.003223813 0.0013431066 0.0030541387 0.0026897853 0.00444011 0.0033970594 0.00303092 0.0023343621 0.004427608 0.001435981 0.0017753297 0.0036792548 0.0049187704 0.0022647064 0.001939646 0.00209146 0.0016485205 0.001044837 0.0015234972 0.003988241 0.0036631804 0.0025165388 0.0011984368 0.0060975607 0.005165245 0.00551531 0.0024272364 0.0022986413 0.0012948833 0.0016949576 0.0018753483 0.0024004458 0.0009858974 0.0026111992 0.0021682598 0.008330119 0.008264035 0.0016806693 0.0017003157 0.0023861574 0.001357395 0.0010198322 0.0010609113 0.0020861018 0.002607627 0.0017163901 0.0014967065 0.0031220084 0.001789618 0.0011895066 0.009767885 0.003643534 0.012609485 0.0012520183 0.0011091345 0.0025040365 0.01210582 0.0015252832 0.029780531 0.0017360367 0.011059197 0.0011216368 0.0011841485 0.002134325 0.001010902 0.001087702 0.0013520368 0.0014038321 0.0017789018 0.0009358881 0.0011394974 0.001825339 0.0011948647 0.0011037764 0.0010073299 0.0014877763 0.0023879434 0.0009841113 0.0013841856 0.002220055 0.0022004086 0.0013306043 0.0016985297 0.0015449298 0.0018324832 0.0009573206 0.0010269764 0.0018467716 0.0010073299 0.0009519625 0.0011109206 0.0016985297 0.0010216183 0.0009787532 0.0033649106 0.0020271621 0.0011037764 0.0010234043 0.001130567 0.0018949948 0.002261134 0.002175404 0.0017806878 0.0030719992 0.0013645391 0.0011073485 0.0011323532 0.001434195 0.0017753297 0.0012752368 0.0011341393 0.007295998 0.005865375 0.0034434965 0.0034827897 0.0030523527 0.0011055624 0.0035060083 0.0056063985 0.0053402777 0.003064855 0.001980725 0.0013055996 0.0032452454 0.0012002229 0.0014252646 0.0012966694 0.0031112921 0.0016842413 0.0017217483 0.0014091902 0.0026683528 0.0012752368 0.0017003157 0.0013163158 0.002913041 0.0020110877 0.0011180647 0.0016002972 0.015072442 0.012830954 0.0040632547 0.0017074599 0.004195422 0.0018592739 0.0012109391 0.0010609113 0.0031273665 0.0014806321 0.0010912741 0.0010662695 0.01365075 0.004825896 0.0012252275 0.0038292825 0.0056957006 0.001089488 0.0012127252 0.0015824367 0.004658008 0.0014681298 0.0015342135 0.0014556275 0.003189878 0.0021932644 0.0027683713 0.0021093204 0.0059028817 0.0018110506 0.0020057296 0.0034363524 0.008176519 0.0040293196 0.008249747 0.06770186 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.010545083 0.0004622993 0.00054203696 0.0003816657 0.0015696675 0.00051874283 0.0014048165 0.00083858945 0.00047305046 0.00039779244 0.00050709577 0.00080723193 0.0006979286 0.00052501436 0.0007758744 0.0015714593 0.0107395 0.0014290066 0.001499785 0.018543936 0.0024539493 0.0018276949 0.0024888904 0.0021063287 0.002028383 0.0015669797 0.0016816586 0.0018456136 0.0019217675 0.0019307268 0.001965668 0.0046857083 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.0583841 0.0153391985 0.021610701 0.01040711 0.03268528 0.020390445 0.013023223 0.013566155 0.037464164 0.0032584935 0.0057276734 0.00498674 0.019475702 0.02055888 0.016532576 0.031360198 0.013886002 0.010725165 0.010663345 0.010531644 0.010963482 0.010478784 0.010625716 0.010331852 0.011284225 0.010936604 0.010692911 0.010795943 0.010451906 0.010520893 0.010637363 0.010786088 2004.0 10.403692 20849.0 0.020816347 0.0038371144 0.005467888 0.0037411866 0.013238045 0.0036452587 0.004172862 0.0065230946 0.0062353113 0.0033574752 0.0046045375 0.005515852 0.0068108784 0.0044606454 0.0059954915 0.004940285 0.024269748 0.017890546 0.017027196 0.01865797 0.019713176 0.019185573 0.016643483 0.018130366 0.019809103 0.018993717 0.018226294 0.018897789 0.01793851 0.015636241 0.015540314 0.01438918 0.007674229 0.008153868 0.004988249 0.009257039 0.010647993 0.006283275 0.0070506977 0.0078181205 0.008393688 0.0057077077 0.003597295 0.004124898 0.008153868 0.0057077077 0.0045086094 0.00695477 0.013429901 0.0070506977 0.0059475275 0.0114633795 0.0096407505 0.0057556718 0.007722193 0.009496858 0.005563816 0.0051321406 0.004892321 0.0044606454 0.007002734 0.004412682 0.0040289704 0.0073384815 0.007674229 0.017171087 0.008441652 0.01683534 0.016019953 0.035829056 0.007962013 0.008585543 0.011367451 0.017842581 0.008105905 0.0059475275 0.018082403 0.009352966 0.017410908 0.0222073 0.00940093 0.003597295 0.023406398 0.017746655 0.032039907 0.011799127 0.005515852 0.0062353113 0.009305003 0.0078181205 0.0046045375 0.0038850785 0.0065230946 0.0035493309 0.0034054392 0.0056597437 6.321427 0.0 9.0 0.0 6.0 559896.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 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 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553912.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0