Input: 0.2344733 0.016363928 0.011494224 0.023268053 0.018152904 0.017866971 0.016738424 0.022917597 0.025060823 0.009089103 0.016888982 0.006352504 0.014669843 0.0017990959 0.0008540012 0.002969394 0.005345415 0.0014638214 0.00075278623 0.000994437 0.00247091 0.0029795154 0.0015194896 0.0008856309 0.0016611905 0.0005566823 0.0004086554 0.0006300631 0.0016371519 0.0013626064 0.0004744451 0.0004073902 0.0035070984 0.00038335167 0.0017295106 0.00082237157 0.0061614607 0.0010640223 0.0013423634 0.00038335167 0.0013410982 0.00046052807 0.0005554171 0.00087171386 0.0009425643 0.0005756601 0.0012196403 0.0021546134 0.0025430259 0.00060222903 0.0007591122 0.0030782 0.0016599253 0.0005642734 0.0004567325 0.00044155025 0.0012069884 0.0011791543 0.0013044078 0.002178652 0.0008856309 0.0008666531 0.00040612504 0.0008426145 0.00514425 0.0030364487 0.0014929207 0.0014638214 0.004860848 0.008927159 0.0023886731 0.00094129913 0.0042991056 0.0013347723 0.00038588204 0.00044155025 0.0022267292 0.0062183943 0.0010513704 0.0007477255 0.0062765926 0.003199658 0.0026164067 0.0030010235 0.0018092174 0.004539491 0.0031908015 0.0026088157 0.001454965 0.0014650865 0.00087930495 0.0012639218 0.0017067372 0.0021267794 0.0021571438 0.0025278437 0.0016093178 0.004201686 0.0020521332 0.0027011742 0.0035083636 0.0067548333 0.002396264 0.0015005118 0.0030212665 0.004595159 0.0028454056 0.0017016765 0.0036854898 0.002023034 0.0028998086 0.003518485 0.0028163062 0.00089195685 0.0049430854 0.0037942957 0.0088639 0.00598813 0.0017446929 0.0016358867 0.001745958 0.0015308763 0.0008071893 0.0009868458 0.0021153926 0.0025556777 0.0014423132 0.00089954794 0.003295812 0.0018598249 0.0018193389 0.0058843847 0.0027834114 0.004784937 0.0009957021 0.00086159236 0.0012715129 0.0068547833 0.00075405143 0.024399132 0.0014030924 0.006711817 0.0006401846 0.0007388692 0.002508866 0.00070470915 0.0007312781 0.00070344395 0.0010716134 0.0009855806 0.0012968166 0.00073633884 0.0012904907 0.00076543813 0.0006250024 0.0006161461 0.0010741438 0.0006376542 0.0006477757 0.0006591624 0.0012284965 0.0010576963 0.00089195685 0.0008552664 0.001008354 0.0009703984 0.0012057232 0.0011247513 0.0011475246 0.00073380844 0.00091852574 0.0008362886 0.0011563809 0.000933708 0.00089069165 0.0009691332 0.0013360374 0.00087171386 0.0010134148 0.0008033937 0.0011525854 0.00071356545 0.0007806204 0.00084134936 0.0014283961 0.0007831507 0.00075278623 0.00085020566 0.0010197407 0.0007958026 0.0008236367 0.00086791825 0.00568322 0.002205221 0.0025063355 0.0019534486 0.0018218693 0.0008362886 0.0018054218 0.0048519922 0.0014992466 0.0018395819 0.0010412489 0.00089954794 0.004911456 0.00084134936 0.0011766239 0.0009703984 0.001481534 0.0013145293 0.0013385678 0.0009564814 0.0010020281 0.0006287979 0.0009957021 0.0007793552 0.001570097 0.0007401344 0.00066295796 0.0010450444 0.0011323424 0.0005832512 0.00075658184 0.00069332245 0.0017396321 0.00066675356 0.000737604 0.0006186764 0.0011690328 0.0010374533 0.00052884815 0.00051872665 0.005805943 0.0015447934 0.0007793552 0.005635143 0.0027707594 0.0005870468 0.0006376542 0.0010045585 0.0023557781 0.0009564814 0.0007097699 0.0012500047 0.0025860423 0.0006604276 0.0010867956 0.0011614417 0.0034425738 0.00065663207 0.00068699656 0.0007742944 0.00612224 0.00076543813 0.0014903903 0.10555202 0.03894455 0.0 6.341315e-07 0.0 1.268263e-06 0.0 0.0 0.0 1.268263e-06 0.0 1.268263e-06 6.341315e-07 6.341315e-07 0.0 0.0 1.0780235e-05 0.0072703175 0.0002859933 6.9754465e-06 5.073052e-06 2.536526e-06 1.268263e-06 3.1706575e-06 6.9754465e-06 3.6145495e-05 3.1706575e-06 6.9754465e-06 3.804789e-06 5.073052e-06 3.1706575e-06 9.511972e-06 0.00014204545 0.0071155895 6.785207e-05 8.370536e-05 6.5315544e-05 0.00015726461 3.2974836e-05 0.00010716822 4.4389206e-05 1.7755681e-05 2.156047e-05 1.5853288e-05 3.804789e-06 8.243709e-06 8.877841e-06 1.9023945e-06 3.9950282e-05 0.014029525 0.0009860744 0.00041789265 7.3559255e-05 0.00011350954 0.0003728693 0.00020482448 0.0003988687 2.980418e-05 3.5511363e-05 2.2828734e-05 3.868202e-05 2.9170049e-05 3.1706575e-05 3.1706575e-05 6.658381e-05 0.009024325 0.00025999392 0.0003842837 0.00033735795 0.00036716214 0.00033482144 0.00039760044 0.00036208908 0.0001490209 9.511972e-06 9.511972e-06 8.243709e-06 1.3316761e-05 9.511972e-06 1.2048498e-05 9.511972e-06 0.013252714 0.00020292208 0.00017882508 0.00018199574 0.000342431 0.00020545861 0.0009099787 0.0004166244 0.00023653105 0.00013189935 6.594967e-05 7.9900565e-05 8.307122e-05 6.84862e-05 0.0014825994 0.000342431 0.027062196 0.00051808544 0.0003386262 0.0002834568 0.0002517502 0.0024325284 0.005979226 0.00052442675 0.00031389509 9.7022115e-05 0.000105265826 0.00013887479 0.00017819095 0.00011287541 0.00016297179 0.008253856 0.08121766 0.00089856435 0.0015796216 0.0005656453 0.0027413506 0.0030229047 0.012243811 0.010778967 0.0023767247 0.0001953125 0.0012340199 0.0016417664 0.0019283938 0.0017343496 0.0023412134 0.028746448 0.10660765 0.0021199016 0.0018446886 0.0012669947 0.0029696377 0.0016563515 0.0050413455 0.0047008167 0.0050419797 0.0071491986 0.0075943586 0.0062582437 0.0055530895 0.0038643973 0.004143415 0.048473645 0.020106407 0.0006430093 0.00090490567 0.0009480266 0.0027514966 0.0015682072 0.003896104 0.0024103338 0.0013392858 0.0004610136 0.00059227884 0.00043374594 0.0012384588 0.00038935675 0.0010888038 0.002787008 0.021246575 0.000949929 0.0017730317 0.0013088475 0.0028554942 0.002010831 0.0047965706 0.003362165 0.0016436689 0.0008338829 0.0008275416 0.0007818841 0.0012727019 0.0006360339 0.00078632304 0.004265168 0.011644556 0.0007045201 0.0011928013 0.0008712967 0.0017533735 0.0012092887 0.0021516082 0.0013107498 0.0026056464 0.0005675477 0.00055106025 0.0003367238 0.0014616731 0.00061891234 0.00058783987 0.0023025314 0.018333375 0.00189098 0.002536526 0.0017521053 0.006270292 0.0041167815 0.004151025 0.0033247515 0.008432681 0.00089095475 0.0015612318 0.00059101055 0.0051497817 0.0011433391 0.0023722858 0.006314047 0.05398932 0.0108886715 0.008430144 0.008244977 0.020465326 0.01980139 0.0063539976 0.012083376 0.035824623 0.0031947545 0.0022803368 0.0035029424 0.014605316 0.0052106585 0.01048156 0.024902344 0.008402877 0.0026151582 0.0033146052 0.0024775518 0.0035073813 0.0036354759 0.0021129262 0.0026145242 0.0066279424 0.0011014864 0.0007806159 0.00072925125 0.0030007102 0.0015460126 0.00204444 0.0035409902 0.0008446631 0.00046798904 0.0004394531 0.00045594055 0.0004267705 0.00042359985 0.0005821327 0.0004026735 0.0004204292 0.0003322849 0.00026696935 0.00025682326 0.00034116275 0.00029740768 0.00024604303 0.00028916396 2515.0 13.969383 35133.0 0.025844647 0.0011100675 0.026812399 0.0028178636 0.010816042 0.002760937 0.001053141 0.0012523838 0.0031309596 0.0019355023 0.0018216491 0.0021632083 0.003301739 0.0032163493 0.014687046 0.0029317166 0.01175533 0.005208778 0.0057780435 0.007855862 0.0038994676 0.0015085532 0.0019639656 0.0009392878 0.003273276 0.00296018 0.0021632083 0.002846327 0.0022485983 0.002134745 0.0018216491 0.010246777 0.01628099 0.021575157 0.0040987106 0.010901432 0.032419663 0.020180456 0.007115817 0.009819828 0.00574958 0.010787578 0.0015370165 0.0034155922 0.008168958 0.008909003 0.00740045 0.00592036 0.014060855 0.005521874 0.010702189 0.01864344 0.0100190705 0.0073719863 0.015227849 0.012239206 0.009307489 0.0019639656 0.0036432983 0.0015085532 0.004696439 0.00287479 0.0020493553 0.021176672 0.0017077961 0.03563601 0.0108729685 0.020351237 0.020237384 0.059687473 0.00862437 0.010417556 0.0112999175 0.03424131 0.004867219 0.002333988 0.022969857 0.01323542 0.026356986 0.031138815 0.015398628 0.00082543475 0.041954856 0.028235562 0.044374235 0.011812257 0.011442234 0.009962144 0.008282811 0.0070873536 0.0018501125 0.0003700225 0.005521874 0.0006831184 0.009762901 0.0009108246 5.9330792 1.0 20.0 0.0 10.0 790397.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 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 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0067024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2254279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.006369615 0.0039056062 0.0039410666 0.0038943142 0.003979895 0.0038699475 0.0038416188 0.0038770793 0.003917294 0.0039069927 0.0039010497 0.0038685608 0.0038980783 0.0038372604 0.0038424113 0.0038723247 0.0038697494 0.0038796547 0.0038806451 0.0038772775 0.0038909465 0.0038620234 0.003815469 0.0038606366 0.0038743059 0.0038598443 0.003880447 0.0038695515 0.003880447 0.0038576652 0.0038396379 0.0038384493 0.004033581 0.0038812396 0.0038677684 0.003817252 0.0038883712 0.0038750982 0.0039004555 0.0038939181 0.003914125 0.0038867863 0.0038469676 0.0038719287 0.00383627 0.003924624 0.003864995 0.003876683 0.0038275535 0.0038737115 0.0038774754 0.003945029 0.00383627 0.0038640045 0.003826563 0.003887975 0.0038618254 0.0038855977 0.0038220065 0.0038925314 0.003840034 0.0038638064 0.0038426092 0.0038348832 0.004121341 0.0038578634 0.003864995 0.0038968895 0.0038984744 0.003945425 0.0038624196 0.0038366662 0.003907191 0.0038515239 0.0038414206 0.003849543 0.0038558822 0.0039062004 0.00392403 0.0038386472 0.0038913428 0.003813092 0.0038699475 0.0039174925 0.003924426 0.0039018423 0.0039273975 0.0038566748 0.003887975 0.0038770793 0.0038752963 0.0038933237 0.0038338928 0.003828148 0.0038725229 0.00385509 0.0038806451 0.003892135 0.003849543 0.0038665798 0.0039448305 0.00391353 0.003940274 0.0038202237 0.0038945123 0.0039063985 0.003853505 0.003839836 0.0039159073 0.0038503353 0.0039174925 0.0038747021 0.00385925 0.0038499392 0.0039176904 0.0038980783 0.0040098084 0.0039634523 0.0038986725 0.0038568727 0.0038814375 0.0038273553 0.0038812396 0.0038830223 0.0039143227 0.0038465713 0.0038222047 0.003892135 0.0038935218 0.003885994 0.0038931256 0.0039390856 0.0038503353 0.003922643 0.0038301288 0.0038875788 0.0039018423 0.0040617115 0.0038578634 0.004290917 0.0038354776 0.0039317557 0.0038750982 0.0038913428 0.0038669761 0.0038566748 0.00384776 0.00381329 0.0038741077 0.0038463732 0.0038947104 0.003788527 0.003903229 0.0039236336 0.0038198275 0.00385509 0.0038679666 0.0038309211 0.0038568727 0.003876683 0.003841817 0.0039042195 0.003840232 0.003885994 0.003897682 0.0038578634 0.0038600424 0.0038348832 0.0038061582 0.0037932815 0.003834091 0.0038810414 0.003828148 0.003835874 0.0038043754 0.0039002574 0.0038758907 0.00385925 0.0038608348 0.0038929277 0.0038025924 0.0038182426 0.0038327042 0.0038331004 0.0038925314 0.0038806451 0.0039161057 0.0038713343 0.003841817 0.003863014 0.0038661836 0.0038031868 0.0039963373 0.0038430055 0.003811309 0.003925813 0.0039503775 0.003849543 0.003872721 0.00388223 0.003851722 0.0038588538 0.0038584576 0.0038386472 0.0038437978 0.0038867863 0.003843996 0.003838053 0.003892135 0.0038580613 0.003844194 0.0038891635 0.0038913428 0.0038949086 0.0038780698 0.003857269 0.0038430055 0.0039311615 0.003876683 0.0038392416 0.0038951067 0.0038455809 0.0038683626 0.0038941163 0.0038743059 0.0038273553 0.0038360718 0.0038471657 0.0038350814 0.003880447 0.003883815 0.003847958 0.004060919 0.003907191 0.0038647968 0.0039287843 0.0038695515 0.0037968475 0.0038855977 0.0038560804 0.0038935218 0.0038788621 0.0038982762 0.003828544 0.0039050118 0.0038493448 0.0038277516 0.003885994 0.0038499392 0.0038998611 0.0038729191 0.0038481562 0.003930171 0.0038422132 0.0038669761 0.009014689 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040584416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0715744e-06 2.7743254e-06 1.981661e-06 2.9724913e-06 2.179827e-06 2.179827e-06 2.080744e-06 2.377993e-06 2.9724913e-06 2.27891e-06 2.6752423e-06 3.5669896e-06 2.4770761e-06 2.5761592e-06 2.8734082e-06 0.00016388336 0.00014822824 1.1889965e-06 1.5853287e-06 5.647734e-06 5.4495677e-06 1.5853287e-06 1.5060623e-05 8.422059e-06 5.3504846e-06 1.9816609e-07 2.5761592e-06 2.7743254e-06 8.917474e-07 5.9449826e-07 6.9358134e-07 2.6752423e-06 0.0002010395 1.981661e-06 1.1592716e-05 1.981661e-06 2.2095519e-05 8.620225e-06 0.0001034427 5.459476e-05 0.0 0.0 0.0 0.0 9.9083046e-08 9.9083046e-08 1.9816609e-07 9.9083046e-08 0.0002167937 3.5669896e-06 4.141671e-05 3.4679067e-06 8.12481e-06 5.3504846e-06 7.381687e-05 3.8840553e-05 2.9724913e-07 3.9633218e-07 4.9541524e-07 3.9633218e-07 3.1706575e-06 4.9541524e-07 3.4679067e-06 5.7468164e-06 0.00049422623 6.1431488e-06 0.000111666595 5.0334187e-05 3.418365e-05 1.5357871e-05 0.00012375473 6.628656e-05 1.5456955e-05 1.595237e-05 9.313806e-06 6.9358134e-06 1.6447786e-05 1.4862457e-05 5.9449826e-06 2.7743254e-05 0.000264849 7.133979e-06 1.6844118e-05 9.214723e-06 3.576898e-05 1.7438617e-05 9.482248e-05 4.7361696e-05 1.3078962e-05 5.2514015e-06 1.8825779e-06 5.9449826e-06 1.4168875e-05 1.724045e-05 2.308635e-05 3.4679066e-05 0.0003505558 4.55782e-06 2.239277e-05 3.7552476e-05 3.5174482e-05 9.11564e-06 4.4983703e-05 3.2697404e-05 4.1813044e-05 4.0425883e-05 5.5486507e-06 1.040372e-05 4.6370864e-05 1.0899135e-05 3.418365e-05 8.501326e-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 0.00045885358 3.6660727e-05 5.4693843e-05 4.7658945e-05 0.00015744296 0.0001098831 5.885533e-05 8.2437095e-05 0.00022273869 2.8833167e-05 3.0319412e-05 3.903872e-05 0.00012712355 5.9449827e-05 9.4128896e-05 0.00021818087 0.0010278876 0.0001647751 0.00019945417 0.00022184695 0.0003879101 0.00042219285 0.0002466177 0.00030894094 0.0006709904 7.867194e-05 9.2246315e-05 0.0001413915 0.00041931946 0.00018379906 0.0003565008 0.00075927336 0.06149421 0.06162589 0.06173617 0.06142049 0.061587147 0.061451998 0.061413754 0.061577834 0.06179532 0.061569314 0.061480038 0.06151878 0.061340332 0.06172755 0.061500352 0.06154167 23522.0 5.7320805 134830.0 0.012875473 0.009990358 0.0108062 0.009938441 0.01014611 0.010094193 0.010220277 0.009760439 0.0100645255 0.0098642735 0.0101609435 0.010005192 0.009916191 0.010613365 0.010442779 0.010212861 0.00982719 0.010390863 0.010561448 0.010561448 0.0101609435 0.010249944 0.009819773 0.009901357 0.010175777 0.009760439 0.01053178 0.009545353 0.010346362 0.010198027 0.010709783 0.009923607 0.010249944 0.010702366 0.009997775 0.010672699 0.010516947 0.0104576135 0.010427946 0.010309278 0.00984944 0.010071943 0.0100645255 0.0098716905 0.0104576135 0.010227694 0.010746866 0.010413113 0.009812356 0.010309278 0.010183194 0.0103537785 0.010264778 0.0107617 0.009797523 0.010034858 0.009982942 0.01046503 0.010020025 0.010316695 0.009886524 0.009916191 0.010220277 0.010405696 0.010346362 0.011503374 0.010205444 0.010687533 0.011095454 0.013513313 0.010094193 0.009842023 0.010717199 0.011577542 0.010287028 0.010131276 0.011028702 0.010776534 0.011711043 0.011206705 0.01046503 0.010190611 0.01201513 0.011926129 0.011985463 0.010309278 0.010168361 0.010643032 0.010368613 0.010190611 0.010835867 0.010346362 0.01048728 0.009945857 0.009723355 0.010131276 6.582372 0.0 1.0 0.0 63.0 5047872.0 81920.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 37888.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 0.0 0.0 0.0 0.0 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1524043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.574535 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 4.47952 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3660.0 0.0 0.0 0.0 0.0 0.0 -588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37400.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 11264.0 69632.0 0.0 0.0 9024.0 13098760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.19224867 0.023150615 0.014707774 0.0071333395 0.0061293878 0.0102256015 0.00385499 0.0015277523 0.003236997 0.0016242418 0.0016150523 0.0009648962 0.0011716597 0.001711542 0.0010154383 0.0039078295 0.004369601 0.0014013968 0.00086840655 0.0013324757 0.0010820621 0.010898732 0.0010797648 0.0007397537 0.0023456167 0.0016288366 0.00095111196 0.0008569197 0.0010476016 0.001013141 0.0009212461 0.00078799855 0.006209796 0.0006754273 0.001408289 0.0007581327 0.009260706 0.0021365557 0.001247473 0.00068921153 0.0017689763 0.00051690865 0.0007535379 0.0010108436 0.00060650613 0.000833946 0.0008867855 0.0007742143 0.0060719536 0.0016793788 0.0014036942 0.0038526924 0.0012980151 0.0006524536 0.0006019114 0.000797188 0.0028211726 0.0011969308 0.0005100165 0.0017391104 0.0005238008 0.0004893402 0.00039974268 0.006545212 0.030364363 0.021422992 0.0033518656 0.013039882 0.006414262 0.014347087 0.0017758684 0.0030991547 0.043992374 0.006864547 0.0013026098 0.0020860136 0.0074274032 0.005529774 0.002687925 0.004045672 0.009559364 0.0029176623 0.003411597 0.0047188015 0.005350579 0.0047256937 0.0054286895 0.0030807755 0.0050450284 0.00092354347 0.004688936 0.0010085462 0.0027361698 0.0011211174 0.0011004411 0.0046613673 0.0023571034 0.010462231 0.002021687 0.0037837713 0.0057089687 0.020423636 0.002131961 0.0033105128 0.0023203455 0.010790755 0.0014565337 0.00064785883 0.0077283587 0.003843503 0.011236445 0.009540985 0.006839276 0.00073056424 0.010179655 0.0077582244 0.020876218 0.004907186 0.0013738284 0.00078570115 0.0022077742 0.004059456 0.00065015623 0.0005605587 0.0011946333 0.0007098879 0.00081097224 0.000636372 0.0072160447 0.0012382834 0.0015759971 0.0075468663 0.0016816761 0.0051369234 0.0008385407 0.0006294799 0.0010981438 0.0066462965 0.00078799855 0.028641334 0.0005927219 0.009092998 0.0005513692 0.00068921153 0.026640324 0.00039285058 0.00043879802 0.0010338173 0.0005467745 0.0005605587 0.00040663482 0.00049163756 0.00076961954 0.00039285058 0.00045487963 0.00037676896 0.0005146113 0.00039285058 0.0006869142 0.0011992281 0.002230748 0.0007834038 0.0007420511 0.0006869142 0.00071907736 0.00085462234 0.0006938063 0.0008592171 0.0011326043 0.0006524536 0.0006432641 0.0006754273 0.0006708326 0.0006685352 0.0006731299 0.0007902959 0.0014978864 0.00046177173 0.0004479875 0.00038136373 0.00037217423 0.00043650065 0.00067772466 0.0015897813 0.0013646388 0.00111882 0.0018792502 0.0004893402 0.00040204005 0.0003836611 0.0005123139 0.0006019114 0.005653832 0.001934387 0.0008867855 0.0037975556 0.002676438 0.0006432641 0.0012336887 0.0020561477 0.0021227715 0.0016632972 0.0006042088 0.0023019665 0.0010797648 0.00091894873 0.0018654659 0.0023387244 0.0028625252 0.0005881272 0.0012176071 0.0011440911 0.00049163756 0.00068002206 0.0009878699 0.0013026098 0.0015736996 0.0010636832 0.00067772466 0.0013577468 0.0004640691 0.00042731117 0.0005146113 0.000617993 0.0033449733 0.0005513692 0.0005697482 0.00050312444 0.0005054218 0.00034690314 0.0004479875 0.0005238008 0.0038526924 0.0013715309 0.0007259695 0.0021893953 0.002366293 0.0005904246 0.00040663482 0.00047555598 0.0028694174 0.00068921153 0.0006271825 0.00042960854 0.0003905532 0.00037676896 0.0015070759 0.0009258408 0.0016954604 0.00095800404 0.0008477302 0.0004709612 0.00053299026 0.0010177357 0.0017092447 0.027129663 0.011792453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022813329 3.4548202e-06 3.800302e-05 6.9096404e-06 1.1516067e-06 4.606427e-06 3.4548202e-06 1.1516067e-06 2.3032135e-06 3.4548202e-06 3.4548202e-06 1.1516067e-06 1.1516067e-06 3.4548202e-06 2.3032135e-06 1.1516067e-06 0.0043933797 2.1880527e-05 4.1457843e-05 2.3032135e-05 3.224499e-05 2.3032135e-05 5.7580335e-05 2.0728921e-05 2.1880527e-05 2.0728921e-05 6.9096404e-06 5.7580337e-06 1.1516067e-06 3.4548202e-06 2.3032135e-06 4.1457843e-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 0.017707106 7.485443e-05 0.0003627561 8.1764076e-05 0.0008717663 0.0004433686 0.00018195386 0.00016007334 8.52189e-05 6.448998e-05 6.79448e-05 7.9460864e-05 0.00022571492 6.333837e-05 5.642873e-05 0.00070017687 0.0053273328 0.00011631228 9.903818e-05 0.00018540869 0.00034433042 0.00015777012 0.00045718788 0.00018195386 0.00013358638 9.212854e-06 2.0728921e-05 3.4548202e-06 4.606427e-06 8.061247e-06 1.3819281e-05 1.2667674e-05 0.017648373 0.00056889374 0.00038693985 0.0004836748 0.000447975 0.00038003022 0.0006667803 0.00076006044 0.0008867372 0.00016007334 0.0001715894 0.0001197671 0.00018540869 0.00017504422 0.00016583137 0.000377727 0.03269181 0.00095698517 0.0012264611 0.00046064268 0.00082800526 0.0005170714 0.0014245375 0.0011354842 0.00079345703 0.0008118827 0.00042379127 0.0004986457 0.0010767523 0.00089710165 0.0005021005 0.005283572 0.03740879 0.0009938366 0.0018644513 0.006212918 0.07558455 0.033041902 0.07177389 0.037231445 0.0033419628 0.0014395084 0.001057175 0.0006725383 0.00084873417 0.00065526424 0.0005527712 0.0032636535 0.011227014 0.0004468234 0.00059077423 0.0017043779 0.006825573 0.0028594395 0.0061749155 0.0034421524 0.00075084757 0.00019462153 0.00021650207 0.00012782835 0.00011631228 0.00016352815 0.00015201209 0.00038463663 0.024873553 0.0035711324 0.0017458358 0.0015005436 0.002609541 0.0019289412 0.0029296875 0.002148898 0.0014153246 0.0014199311 0.0016951651 0.001229916 0.0009995947 0.0012725254 0.0015143629 0.0010318396 0.023683945 0.0027753722 0.002163869 0.0020429504 0.0020014925 0.0017965065 0.0023561874 0.002034889 0.0021155016 0.0033868754 0.0047688033 0.0014533277 0.0014199311 0.0015869141 0.0016053398 0.0014118699 0.004389925 0.0004963425 0.00083146006 0.00051822304 0.00253008 0.0007186026 0.00061035156 0.0004640975 0.0016848006 0.0050613116 0.00043300414 0.00030517578 0.0015063016 0.00033972398 0.00051822304 0.0008187924 0.049035415 0.011859246 0.010515321 0.00809234 0.047052346 0.009960246 0.0040271687 0.008518435 0.039031405 0.012097629 0.0018955447 0.0041837874 0.014833846 0.005926168 0.008000212 0.017329378 0.02800362 0.008018638 0.008115373 0.0072758514 0.027819363 0.0074969595 0.004691646 0.0065031233 0.022775326 0.0097472 0.0018103258 0.0031807378 0.009848541 0.004151542 0.004878206 0.010777887 0.0034018462 0.0013899893 0.0015212725 0.0019611863 0.0011228166 0.0012137935 0.0024609836 0.0016963168 0.0010157172 0.000884434 0.00085564377 0.0007209058 0.00071514776 0.000717451 0.00075660564 0.00079230545 3106.0 37.811012 117441.0 0.0021287284 0.000119208795 2.5544741e-05 0.000102178965 0.0029546751 9.366405e-05 0.0001277237 8.514914e-05 5.9604397e-05 7.663423e-05 5.9604397e-05 0.00031505182 4.257457e-05 0.0006215887 0.0013794161 0.00091109576 0.005807171 0.00344854 0.0028099215 0.0010473344 0.0007237677 0.0002469325 0.00057901413 0.0006130738 0.00068119314 0.0014730801 0.00029802197 0.0013538713 0.000102178965 5.9604397e-05 6.811931e-05 0.020537972 0.096124865 0.061818276 0.008378675 0.0428215 0.008574518 0.03952623 0.0043426063 0.007237677 0.011358895 0.0110097835 0.00040020095 0.0033974505 0.008506399 0.009068383 0.006582028 0.010234927 0.022845514 0.008829965 0.009238682 0.013274751 0.015343875 0.011469589 0.017327849 0.0054921196 0.012644647 0.0006726782 0.015531203 0.00022138776 0.0011069388 0.0013283265 0.0020776389 0.011478104 0.00013623862 0.03651195 0.005560239 0.010958694 0.01682547 0.07240231 0.003644383 0.009902845 0.0036954726 0.03748265 0.0038742858 0.00034059657 0.024786914 0.012150782 0.03921118 0.0319735 0.014807436 0.0010473344 0.034545004 0.02620039 0.05650497 0.008208377 0.0032016076 0.0007407975 0.0036528981 0.012797915 0.00093664054 2.5544741e-05 0.0003661413 8.514914e-05 0.00011069388 9.366405e-05 5.287253 2.0 20.0 0.0 2.0 435280.0 434176.0 1.0 1676.0 312.0 1.0 1.0 1.0 1.0 0.0 1533848200.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 13.0 6.0 1.0 6.0 1.0 184320.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 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 207360.0 0.0 0.0 0.0 0.0 9728.0 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 -184320.0 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 -5.5039244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4795885 0.0 0.0 0.0 0.0 5.3431234 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.737602 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1732364 0.0 0.009923029 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 207328.0 0.0 0.0 0.0 0.0 9684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -184300.0 0.0 2276.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 1.0 1.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 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 1.0 -1.0 -2.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 1.0 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 1.0 0.0 -1.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -3.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 -1.0 -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 -2.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 1.0 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 5.0 1.0 -1.0 0.0 -4.0 0.0 1.0 1.0 4.0 -1.0 2.0 -1.0 -2.0 0.0 -6.0 -8.0 3.0 2.0 3.0 1.0 -3.0 2.0 3.0 3.0 0.0 3.0 5.0 -4.0 -2.0 4.0 5.0 1.0 1.0 2.0 0.0 5.0 1.0 4.0 -6.0 1.0 2.0 9.0 7.0 1.0 0.0 -1.0 -2.0 0.0 -2.0 1.0 -3.0 -3.0 -1.0 -6.0 0.0 -5.0 -3.0 -2.0 -7.0 -3.0 0.0 -7.0 5.0 -3.0 0.0 -3.0 0.0 -2.0 -4.0 -1.0 0.0 2.0 -4.0 2.0 4.0 2.0 -1.0 1.0 -2.0 6.0 0.0 0.0 3.0 5.0 1.0 2.0 -1.0 -7.0 3.0 4.0 -2.0 -1.0 0.0 1.0 -1.0 1.0 1.0 -5.0 0.0 0.0 0.0 6.0 -2.0 2.0 -2.0 -4.0 -4.0 -3.0 0.0 1.0 1.0 -1.0 2.0 0.0 7.0 -1.0 7.0 2.0 6.0 -1.0 5.0 0.0 4.0 -5.0 5.0 2.0 -4.0 -1.0 114855.0 225280.0 220.0 340292.0 2300.0 425984.0 9684.0 409600.0 17488.0 417792.0 3588.0 430080.0 84.0 360644.0 0.0 0.0 0.0 0.0 40.0 212912.0 256.0 198000.0 0.0 0.0 3576.0 188432.0 64.0 340136.0 0.0 0.0


Input: 0.056652736 0.008302333 0.0061711143 0.005651507 0.0057550143 0.004958007 0.004196192 0.005431036 0.0050490936 0.005624595 0.0037604258 0.004473592 0.004954902 0.0031714684 0.004320401 0.004635064 0.005039778 0.003780092 0.004926955 0.0041589295 0.004361804 0.0031745736 0.0041040704 0.0038484072 0.005069795 0.0033536416 0.0031590476 0.0029261557 0.004153754 0.0034457631 0.0037873378 0.0037883727 0.0061680092 0.00382046 0.003485096 0.0030213825 0.0048959027 0.0041620345 0.0038370213 0.0037138474 0.004735466 0.0038949854 0.0033391505 0.0030928028 0.0043711197 0.0037324787 0.003720058 0.0035761825 0.0055076317 0.0039519146 0.0031062586 0.002900279 0.0036776199 0.0030658909 0.0026901588 0.002875437 0.0041672103 0.0033215543 0.0035285691 0.0033546765 0.004000563 0.003220117 0.0035099378 0.0034540438 0.0065986 0.0039550196 0.0036144804 0.0032149416 0.004152719 0.003222187 0.00354306 0.003068996 0.0049952697 0.003789408 0.0036983213 0.0035875684 0.004123737 0.0031269602 0.0035647966 0.0034643945 0.005162952 0.0036269012 0.0036444974 0.0033308698 0.003933283 0.0033815885 0.003360887 0.0035358146 0.0046568005 0.0036444974 0.0038028639 0.0035026923 0.0041092457 0.0033846938 0.0036859005 0.003791478 0.0059185564 0.0036320766 0.003333975 0.002958243 0.004010914 0.0030503646 0.0032677304 0.003027593 0.0049683577 0.0031652579 0.0031900997 0.0030534698 0.0035730773 0.002830929 0.0030824519 0.0032004504 0.0045098197 0.0032936072 0.0032232222 0.0031466265 0.0038918802 0.0033267296 0.0032987825 0.0036227608 0.0046174675 0.0032956772 0.0034778505 0.0031714684 0.0040316153 0.0031983803 0.0034685347 0.0033391505 0.008640802 0.0046029766 0.004014019 0.0035389198 0.004360769 0.0034323072 0.0030203476 0.0033909043 0.0045367316 0.0038308108 0.0029644535 0.0031880296 0.003724198 0.0027988416 0.002846455 0.0029748043 0.005232302 0.0032108012 0.0035099378 0.003029663 0.0036579533 0.0031787138 0.0033039579 0.0032584146 0.004538802 0.0028443849 0.0030379437 0.0027036148 0.0035182184 0.0032252923 0.0029799796 0.0031486969 0.0050045853 0.0034229916 0.0032666952 0.0028009117 0.003776987 0.003014137 0.0030472595 0.0031787138 0.0041444385 0.0030079265 0.0031207497 0.003012067 0.0036455325 0.0028371394 0.0029189102 0.003029663 0.0046785367 0.003108329 0.0038442668 0.0028650863 0.0035647966 0.0031476617 0.0029861901 0.0031186796 0.0042551914 0.0031486969 0.0033360452 0.0031859595 0.0036579533 0.003191135 0.0033308698 0.0033515713 0.0067145284 0.004054387 0.0037283385 0.00333294 0.0041164914 0.0032522043 0.0033039579 0.0032252923 0.004332822 0.0033267296 0.0031207497 0.0030865923 0.0036538132 0.002987225 0.0030803818 0.0027936662 0.004245876 0.0032718705 0.003094873 0.0030058564 0.0037128124 0.0030213825 0.0029406468 0.0029478923 0.0039777914 0.0031186796 0.0027274215 0.0026477207 0.0035358146 0.0029416818 0.0035803227 0.0028930334 0.004953867 0.0032315026 0.0034002198 0.0029758392 0.0038038988 0.003068996 0.0031973452 0.0029033842 0.004443575 0.005443457 0.0034664646 0.0031362758 0.0037925132 0.0030855571 0.0032532392 0.0031973452 0.004612292 0.0033277646 0.0034188512 0.003041049 0.003737654 0.0030855571 0.0033174139 0.0032408184 0.004350418 0.0030369086 0.0031973452 0.0028712968 0.004018159 0.0030990131 0.0042251744 0.004512925 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09918796 0.062032454 0.062438834 0.055331286 0.060597155 0.059548024 0.054940972 0.054484826 0.060469124 0.053155273 0.052133612 0.052971777 0.056427065 0.050578058 0.05665462 0.05384726 4026.0 5.702931 22960.0 0.01716028 0.010452962 0.009364111 0.008754356 0.013458188 0.0125 0.0118466895 0.011454704 0.012630662 0.009756098 0.008493031 0.00858014 0.013937282 0.010496516 0.011759582 0.009930314 0.01672474 0.011890244 0.008710802 0.0075348434 0.009799652 0.008449477 0.007883275 0.00836237 0.010409407 0.008405923 0.009625436 0.008885018 0.011585366 0.008972125 0.009668989 0.009146341 0.017987804 0.010932055 0.0103223 0.009059234 0.010844948 0.008841463 0.010670732 0.008275261 0.014198606 0.011585366 0.009756098 0.008928572 0.011454704 0.00945122 0.011716028 0.009538327 0.014764808 0.009625436 0.010017422 0.008972125 0.0120209055 0.009364111 0.009581882 0.009799652 0.013719512 0.00923345 0.010496516 0.009581882 0.011106272 0.009843206 0.010409407 0.010670732 0.017987804 0.0109756095 0.009756098 0.008188154 0.013066202 0.008231707 0.009364111 0.008318815 0.015418119 0.009277004 0.008885018 0.008710802 0.0113240415 0.008013938 0.009930314 0.007926829 0.013240418 0.007970383 0.008667247 0.008841463 0.011541812 0.009538327 0.008231707 0.007883275 0.010888502 0.009015679 0.011890244 0.008536586 0.011280488 0.008972125 0.010017422 0.008710802 6.5546474 0.0 0.0 0.0 14.0 966114.0 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: 0.037642628 0.0054567256 0.0061579095 0.0044837277 0.00319201 0.0032509433 0.0038053957 0.0033435524 0.0041962788 0.005059829 0.004428403 0.0033676068 0.0027470049 0.0029442504 0.0057586078 0.0025521647 0.003404891 0.0060616923 0.0068867556 0.0044945525 0.0035251626 0.0034902839 0.0032413215 0.0031066171 0.003646637 0.0035395953 0.003502311 0.003235308 0.0030789548 0.0033134846 0.00310782 0.002823979 0.003557636 0.0031487122 0.009143053 0.006754457 0.0064176964 0.0032749975 0.0033688094 0.0034542023 0.004649703 0.008701655 0.0035552306 0.0028805065 0.005098316 0.002878101 0.0029226015 0.0027061126 0.008600627 0.0028504385 0.0028287896 0.002772262 0.006571644 0.0031451043 0.002848033 0.0052715074 0.0027854918 0.0035696633 0.003272592 0.0026724364 0.0026868691 0.002639963 0.0028263843 0.0027121261 0.003697151 0.0063912366 0.0036887322 0.0028336006 0.0034325535 0.003248538 0.0033652014 0.004330983 0.004033912 0.0043586455 0.0037248137 0.0035083245 0.0037608952 0.0059017306 0.0034373642 0.002713329 0.003685124 0.0032653757 0.0035840957 0.004762758 0.003851099 0.0032786056 0.0034674322 0.0030031835 0.0036189745 0.0038174228 0.0036995565 0.0033591876 0.004190265 0.0033555797 0.0034505941 0.005816338 0.003235308 0.0032449297 0.003242524 0.0058187433 0.0033892556 0.0033928638 0.003507122 0.0059197717 0.0037055702 0.0037608952 0.0037188 0.0034782568 0.005552943 0.00342654 0.0031006036 0.0030536978 0.0030621167 0.0029923592 0.0030717384 0.0030103999 0.003057306 0.003574474 0.003527568 0.0032581596 0.0034157154 0.003757287 0.0038390716 0.0037091782 0.0030933872 0.0034902839 0.0032846192 0.0029959674 0.003353174 0.003119847 0.0031366851 0.0029767237 0.0030260351 0.003349566 0.0032449297 0.0028889256 0.0032954437 0.004613621 0.0034072965 0.0033940666 0.003790963 0.0030897793 0.0030681302 0.0028817093 0.0074484246 0.0032401187 0.0032256863 0.003014008 0.0033844449 0.003396472 0.0032894302 0.0029935618 0.0036273936 0.0041325344 0.004086831 0.006522333 0.006669064 0.003989411 0.0043033203 0.004096453 0.003901613 0.0037320298 0.0038739506 0.003481865 0.002941845 0.0030921847 0.0030621167 0.0029478585 0.0033375388 0.0038992076 0.0033447552 0.0027662483 0.0050201393 0.0034578105 0.0030765494 0.0025918544 0.003591312 0.0035588387 0.0030765494 0.0025064617 0.00321847 0.0034193236 0.0029370342 0.003242524 0.003438567 0.0037260163 0.0034349589 0.0030260351 0.003777733 0.0035648523 0.002988751 0.005544524 0.0034024855 0.0027866946 0.0028672765 0.0024631638 0.0049479767 0.005415833 0.0048060557 0.0044235922 0.0032641732 0.004403146 0.003535987 0.002928615 0.003574474 0.002810749 0.0025966654 0.002534124 0.0029370342 0.0028793039 0.0029683048 0.0026231252 0.005599849 0.002849236 0.0031859966 0.0031835912 0.0031715638 0.0035949203 0.0036827186 0.0058752713 0.002958683 0.0030753466 0.0033976748 0.0031294688 0.002988751 0.0029538723 0.002963494 0.0056419442 0.0029262097 0.002908169 0.003235308 0.003193213 0.0033952692 0.0036141637 0.0061591123 0.002819168 0.005166871 0.0030079945 0.0028925336 0.0028420195 0.002823979 0.0027963163 0.002848033 0.0025437458 0.002793911 0.002929818 0.002695288 0.0027530186 0.0031426987 0.0033399442 0.0034121072 0.002866074 0.0028384114 0.0030536978 0.0061843693 0.028029313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011375145 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1842206e-05 0.0 1.2056328e-06 4.4005596e-05 0.001122444 7.836613e-06 6.63098e-06 4.822531e-06 3.0140818e-06 2.4112655e-06 5.4253474e-06 3.616898e-06 5.4253474e-06 4.2197144e-06 6.0281636e-06 3.0140818e-06 4.2197144e-06 5.4253474e-06 1.6276043e-05 3.3757715e-05 0.0010693963 7.836613e-06 1.2056328e-06 6.0281636e-06 6.028164e-07 1.2056328e-06 1.808449e-06 6.63098e-06 4.822531e-06 2.4112655e-06 3.0140818e-06 1.808449e-06 3.616898e-06 3.616898e-06 7.233796e-06 0.00011332947 0.0015136718 6.028164e-07 1.6878857e-05 1.2056328e-06 0.0 0.0 1.2056328e-06 3.3154898e-05 7.233796e-05 0.0025565443 3.496335e-05 1.2056328e-06 6.570698e-05 2.0495756e-05 3.3757715e-05 0.007993948 0.0011616271 4.2197144e-06 7.233796e-06 0.00028633777 0.0007655768 0.000101273145 7.233796e-06 9.645062e-06 3.436053e-05 0.00047441648 0.00011332947 1.326196e-05 3.3757715e-05 1.8687308e-05 4.4608412e-05 0.0018627025 0.00097415125 4.2197144e-06 6.63098e-06 4.2197144e-06 9.042245e-06 2.4112655e-06 6.0281636e-06 6.63098e-06 3.616898e-05 9.765625e-05 0.00016637731 1.5673226e-05 0.0001030816 1.989294e-05 2.5318286e-05 0.0009916329 0.0042992863 5.4253473e-05 6.26929e-05 0.0005123939 0.0005111883 0.000764974 0.0008361063 0.002642144 0.0028440875 0.00017602238 4.8828126e-05 0.00035264756 0.00059015723 0.002692178 0.0028483074 0.010394363 0.004841821 0.00025619694 0.00013804494 0.00059799384 0.00012418017 0.00013683931 0.000279104 0.00111943 0.0011640384 0.00086805556 0.0009687259 0.0004081067 0.0007474923 0.0010772329 0.00037917148 0.0029429495 0.007966821 0.00040027007 0.0001880787 0.00021460262 0.00017361112 0.00017421393 0.00027006172 0.00039002218 0.00054434314 0.00050937984 0.00024594908 0.0004243827 0.0004894869 0.0004533179 0.0005419319 0.0042974777 0.0031738281 0.00040268133 0.00010971258 0.00023690682 5.6664736e-05 0.00013382523 0.00014286747 0.00046657986 0.00023931809 0.00012598862 9.464217e-05 0.00040448978 0.00013382523 0.00019290124 0.00029296876 0.0012002074 0.0021689332 0.00011574074 0.00010730131 0.00035566164 0.00040087287 0.00011031539 0.00022907021 0.0001513069 0.00022364486 0.00010006752 7.836612e-05 7.294078e-05 0.00011935764 0.00014226466 0.00017783082 0.00038459685 0.0013352382 0.0001766252 0.00014286747 0.00013382523 0.00011091821 0.0001470872 0.00019712094 0.00035264756 0.00029899692 5.003376e-05 4.4005596e-05 0.00027066455 0.000111521025 4.7019676e-05 9.343654e-05 0.0001916956 0.00339687 0.00013382523 0.0024154852 0.008941575 0.0045771846 0.0024347752 0.004553072 0.00016999421 0.00043402778 0.0044891736 0.00011574074 0.0023184316 0.00016999421 0.004513286 0.004536193 0.0024793837 0.005219184 0.0015160831 0.001785542 0.0017282745 0.0014347029 0.0018970631 0.0013659819 0.0010531201 0.0011712721 0.001405165 0.0007866754 0.00092652877 0.0009850019 0.0012490355 0.0011387201 0.0010290075 0.058588326 0.057441767 0.067572095 0.044981554 0.05425769 0.054349322 0.05362956 0.04677614 0.045609087 0.056585167 0.051891036 0.04985231 0.05322145 0.04466568 0.046567563 0.041171756 3340.0 7.2167664 24104.0 0.0082558915 0.0073431795 0.02319117 0.011284434 0.010413209 0.008546299 0.0081314305 0.008836708 0.013898108 0.016428808 0.008214404 0.0069697974 0.010703618 0.008587786 0.006679389 0.0065964153 0.009417524 0.0077580484 0.007882509 0.012985396 0.03215234 0.009915367 0.0061815465 0.005808165 0.006388981 0.008338865 0.0072602057 0.006347494 0.009749419 0.0077580484 0.005725191 0.011035513 0.007633588 0.00933455 0.024809161 0.009417524 0.009044142 0.014727846 0.009583471 0.008919681 0.010828079 0.011574842 0.0081314305 0.012114172 0.012446067 0.0077165617 0.011408895 0.009376037 0.008753734 0.008463326 0.011159973 0.013898108 0.010288749 0.0073431795 0.011284434 0.011242948 0.008961168 0.008504813 0.011948224 0.013898108 0.008836708 0.008546299 0.010620644 0.010869565 0.006679389 0.012197145 0.010911052 0.007177232 0.009541985 0.013151344 0.010952539 0.0074261534 0.008297378 0.010662131 0.01053767 0.00933455 0.017673416 0.0130683705 0.008504813 0.009915367 0.011491869 0.008961168 0.010247262 0.012197145 0.010247262 0.008421838 0.009210089 0.01228012 0.008753734 0.008712247 0.011782276 0.027962163 0.00680385 0.011159973 0.009002655 0.0062645203 6.4917364 0.0 0.0 0.0 14.0 831451.0 1007616.0 0.0 0.0 12.0 0.0 1.0 0.0 0.0 0.0 538976260.0 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 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 8.0 0.0 4.0 0.0 4.0 0.0 418304.0 4096.0 4096.0 8.0 1.0 0.0 3.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88064.0 0.0 84480.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -323072.0 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 7.986858 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.738143 0.0 5.103013 0.0 -7.8744206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15.362702 0.0 6.3301935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -112889.0 0.0 86016.0 0.0 -102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -544768.0 -4096.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 712.0 679852.0 89808.0 585728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.056698512 0.00830179 0.0061657415 0.0056560733 0.0057513774 0.004962013 0.004196475 0.0054229936 0.0050500655 0.00562914 0.0037479256 0.004473063 0.0049568336 0.0031698872 0.004324928 0.004647096 0.005042814 0.0037727875 0.0049298997 0.0041591823 0.0043528974 0.0031688514 0.004103243 0.0038453012 0.005065604 0.0033439205 0.0031564205 0.0029326638 0.004158146 0.0034340445 0.003790398 0.0037935057 0.006170921 0.0038235472 0.0034868761 0.003033147 0.0048967507 0.0041591823 0.0038421934 0.003719956 0.004723754 0.0038898455 0.0033314894 0.0030963377 0.0043705082 0.003732387 0.0037272074 0.0035842517 0.0055172616 0.003943713 0.0031098046 0.002906766 0.0036764478 0.003067332 0.002687153 0.0028663655 0.004170577 0.0033086995 0.0035241689 0.0033532435 0.004000688 0.0032154673 0.0035086302 0.0034464756 0.0065956446 0.003942677 0.003613257 0.0032237547 0.0041571106 0.0032175393 0.0035521383 0.0030652604 0.0049941265 0.0037696797 0.0037002736 0.0035842517 0.0041260333 0.0031243071 0.0035624974 0.0034703014 0.0051578004 0.003626724 0.00365055 0.0033387407 0.0039343894 0.0033729258 0.0033625667 0.0035417792 0.0046481322 0.0036464063 0.0038059365 0.0035169173 0.00411671 0.0033812132 0.0036816273 0.0037821108 0.0059077996 0.0036246523 0.0033387407 0.0029606333 0.0040017236 0.0030497217 0.0032589757 0.0030300394 0.004978588 0.0031616 0.0031947491 0.003046614 0.0035707848 0.002836324 0.0030797631 0.0031947491 0.00450932 0.0032910889 0.003221683 0.0031470973 0.0038877735 0.0033242381 0.0032931608 0.0036256881 0.0046346653 0.0032890171 0.0034816966 0.0031771387 0.0040400526 0.0031937133 0.0034723734 0.0033439205 0.008645712 0.004602552 0.0040079392 0.003523133 0.0043632565 0.0034350804 0.0030165724 0.0033853569 0.0045414334 0.003835978 0.0029606333 0.0031926774 0.0037292792 0.0027928157 0.0028404677 0.0029823876 0.005230314 0.0032030365 0.003498271 0.003035219 0.0036598733 0.0031781746 0.003300412 0.0032641552 0.004545577 0.0028352882 0.0030435063 0.0027099429 0.0035200252 0.00322997 0.0029823876 0.0031564205 0.005022096 0.0034102187 0.0032755502 0.0028052467 0.003779003 0.0030041416 0.0030549013 0.003186462 0.0041394997 0.002999998 0.0031232713 0.0030227879 0.003651586 0.00283736 0.0029171251 0.0030279674 0.004661599 0.0031098046 0.0038411575 0.0028528986 0.003567677 0.003151241 0.0029948184 0.0031232713 0.0042534503 0.003150205 0.0033314894 0.0031802463 0.00365055 0.0031885337 0.0033283816 0.003347028 0.0067220256 0.0040628426 0.0037251355 0.0033428844 0.004117746 0.0032579398 0.00330352 0.0032227188 0.004324928 0.003335633 0.00311602 0.003092194 0.0036495142 0.0029948184 0.0030797631 0.002801103 0.0042461986 0.003278658 0.0030890862 0.0029937825 0.0037158125 0.0030310752 0.0029357714 0.0029544178 0.0039820415 0.00311602 0.0027265174 0.0026343213 0.003533492 0.002940951 0.0035738926 0.0028808683 0.004965121 0.0032341138 0.0034008955 0.002975136 0.003811116 0.0030745836 0.003195785 0.0029129814 0.004439914 0.0054468196 0.0034578706 0.0031294867 0.003800757 0.0030828707 0.0032569037 0.0031926774 0.0046180906 0.0033169866 0.003418506 0.0030393626 0.003732387 0.0030880503 0.0033211303 0.0032537961 0.0043508257 0.003034183 0.0031906054 0.0028684372 0.0040162266 0.003092194 0.004220301 0.0045165713 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 0.09921813 0.062008087 0.062469903 0.055308618 0.060570743 0.05955682 0.05491426 0.05448928 0.06045036 0.053156756 0.052144907 0.05293726 0.05645071 0.050541002 0.056683693 0.053839106 4023.0 5.702958 22943.0 0.017172994 0.0104171205 0.0094146365 0.008586497 0.01346816 0.012422089 0.011811881 0.011506777 0.012596435 0.009719741 0.008455738 0.008630083 0.013904023 0.010547879 0.011811881 0.010024844 0.016780717 0.011899054 0.008717256 0.007540426 0.009806912 0.008542911 0.007801944 0.008412152 0.010242776 0.008542911 0.009632568 0.008848014 0.011506777 0.008978774 0.009632568 0.009196705 0.018001134 0.01089657 0.010329948 0.009109532 0.01089657 0.008848014 0.010722225 0.008281393 0.014252713 0.01159395 0.009719741 0.008935187 0.011419605 0.00937105 0.011681123 0.009632568 0.014775748 0.009588981 0.009937672 0.008978774 0.0120733995 0.009327464 0.009545395 0.009806912 0.013729678 0.009283877 0.010547879 0.009632568 0.011158087 0.009850499 0.010373535 0.010678639 0.01791396 0.010983743 0.009676154 0.00819422 0.0130758835 0.008237807 0.00937105 0.008368566 0.015429542 0.009283877 0.008891601 0.00867367 0.011332433 0.0081070475 0.009937672 0.007932703 0.013163056 0.008019876 0.008717256 0.008804428 0.011376019 0.009458222 0.008150634 0.00784553 0.01089657 0.008848014 0.011986227 0.008586497 0.011463191 0.008978774 0.010024844 0.008717256 6.554659 0.0 0.0 0.0 14.0 965334.0 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