Input: 0.056526355 0.00828278 0.0061635445 0.0056533585 0.005748373 0.0049665696 0.0041961265 0.0054137567 0.0050409287 0.0056265066 0.0037520372 0.0044636126 0.0049531437 0.003179885 0.0043262546 0.0046412484 0.0050440268 0.0037695942 0.00492939 0.0041465536 0.0043624016 0.0031788524 0.0041114395 0.0038460188 0.0050708787 0.0033461603 0.0031674919 0.0029268574 0.0041558486 0.003440142 0.0037850856 0.0037850856 0.0061635445 0.003823298 0.0034897146 0.0030239373 0.0048870463 0.004162045 0.0038336257 0.003726218 0.004725935 0.0038976572 0.0033337672 0.0031034604 0.004357238 0.0037200213 0.0037293162 0.0035960895 0.005506706 0.003955492 0.003109657 0.0029000056 0.0036807763 0.0030755757 0.0026934524 0.0028566294 0.0041744383 0.0033100136 0.0035310253 0.0033575208 0.0039937044 0.0032273922 0.0035072716 0.0034566661 0.006585946 0.0039575575 0.0036188103 0.0032263594 0.0041465536 0.0032253268 0.0035465169 0.0030724774 0.0049872245 0.003774758 0.0037076282 0.0035857619 0.0041331276 0.0031303123 0.0035547789 0.0034649284 0.005156598 0.0036322363 0.0036611538 0.003338931 0.003925542 0.0033812744 0.0033657828 0.00354032 0.0046402155 0.0036363674 0.0037985116 0.0035083045 0.004103177 0.003395733 0.0036942023 0.0037892167 0.005902255 0.0036322363 0.0033409966 0.002959906 0.0040060976 0.0030590515 0.003268703 0.0030414944 0.0049655368 0.0031757539 0.0032088025 0.0030559532 0.0035836964 0.0028463018 0.0030931327 0.0031860815 0.0044997595 0.0032779977 0.003228425 0.0031396071 0.0038924932 0.0033451275 0.0032934893 0.0036301708 0.0046174945 0.0032965876 0.0034762886 0.003166459 0.004029851 0.0031964092 0.0034690595 0.0033471931 0.008628756 0.0045958064 0.0040112613 0.0035186321 0.0043634344 0.00343188 0.0030167082 0.0033895364 0.004531775 0.0038243306 0.0029630042 0.0032067369 0.0037365456 0.0028122205 0.0028555966 0.0029888235 0.005241285 0.0032005403 0.0035000423 0.0030383961 0.0036570227 0.0031809178 0.0033162101 0.003268703 0.004549332 0.0028463018 0.0030404618 0.0027027475 0.0035155339 0.003223261 0.0029857252 0.003153033 0.0050099455 0.0034174211 0.0032779977 0.0027977617 0.0037819874 0.0030198065 0.003056986 0.0031829833 0.0041372585 0.0030012166 0.0031251484 0.003012577 0.003647728 0.0028463018 0.0029123987 0.0030497566 0.004669133 0.0031241158 0.003836724 0.0028597277 0.0035671722 0.0031478694 0.0029939872 0.003127214 0.0042529283 0.003148902 0.0033317015 0.0031860815 0.003646695 0.003197442 0.0033317015 0.003360619 0.006711943 0.0040598013 0.0037272507 0.0033368655 0.0041124723 0.0032604407 0.0033089807 0.0032263594 0.0043272874 0.003329636 0.0031158535 0.0030797068 0.0036528916 0.0029877906 0.0030797068 0.002796729 0.004241568 0.0032718012 0.0030869362 0.0030012166 0.003717956 0.0030280685 0.002938218 0.002942349 0.00397718 0.0031189518 0.0027388942 0.0026387158 0.0035372218 0.0029609387 0.0035744014 0.0029000056 0.0049583074 0.003245982 0.0033926347 0.0029795286 0.0038171012 0.0030755757 0.0032005403 0.0029165298 0.0044377935 0.0054530017 0.0034680266 0.0031334106 0.0037861185 0.0030683463 0.0032511458 0.0031943438 0.0046082 0.003312079 0.0034205194 0.0030497566 0.0037406767 0.0030869362 0.0033182756 0.0032490804 0.0043531065 0.0030270356 0.0031881472 0.0028617932 0.004017458 0.003096231 0.00421988 0.0045028576 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004571947 0.0002922446 0.00027052022 0.000270003 0.0002989688 0.00024000264 0.00033103814 0.0003067275 0.00033052088 0.00035017627 0.0003274174 0.00035069353 0.0005198333 0.00015310514 0.00018362272 0.0007370771 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09909782 0.062021546 0.062456552 0.055334058 0.060604807 0.059548587 0.05497871 0.054478534 0.060467735 0.05319162 0.0521773 0.053004377 0.05643166 0.050598662 0.056686144 0.053837147 4039.0 5.7031446 23035.0 0.017234642 0.010505752 0.00946386 0.008639027 0.01341437 0.012502713 0.0118515305 0.011547645 0.012589538 0.009767745 0.008465379 0.008639027 0.013848491 0.0106794005 0.0118515305 0.009897982 0.016757108 0.011808118 0.00868244 0.0074668983 0.009767745 0.008508791 0.007857608 0.008335142 0.010288691 0.008378554 0.009550684 0.008899501 0.011547645 0.009029738 0.009724333 0.009246798 0.018059475 0.010939874 0.010418927 0.009159974 0.010809638 0.008899501 0.010635989 0.00829173 0.014152377 0.011547645 0.009724333 0.009029738 0.011373996 0.009377035 0.011591057 0.009550684 0.014716735 0.009637509 0.0099413935 0.0092033865 0.012198828 0.009333623 0.009550684 0.009767745 0.013718255 0.009159974 0.010505752 0.009507271 0.011200347 0.009767745 0.010332103 0.010635989 0.017929237 0.010939874 0.00968092 0.008118081 0.013067072 0.008204905 0.009420447 0.00829173 0.015367919 0.009246798 0.008856089 0.00868244 0.011330584 0.008074669 0.009854569 0.007857608 0.013197308 0.007944432 0.00868244 0.008769264 0.011591057 0.009550684 0.008421967 0.0080312565 0.010853049 0.008942913 0.012025179 0.008639027 0.011200347 0.009073149 0.009897982 0.008769264 6.554752 0.0 0.0 0.0 14.0 968274.0 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: 0.38844994 0.020387327 0.0015219155 0.001490209 0.0025301846 0.0008814428 0.0007736404 0.001610694 0.002194095 0.0008433949 0.0008370536 0.0008751015 0.0015853287 0.0011985085 0.00085607753 0.00872565 0.010843649 0.0009385146 0.0002536526 0.0012111912 0.00052632915 0.0015726461 0.00036145496 0.00024096997 0.00034877233 0.00037413757 0.0002536526 0.0005073052 0.0006658381 0.00037413757 0.0005136465 0.00086241885 0.0027965198 0.00017755682 0.00014585024 0.00036779625 0.00032974838 0.0012936282 0.0011414366 0.00032340706 0.0003360897 0.00019023944 0.0001268263 0.0007355925 0.00036145496 0.00043755074 0.00049462257 0.00029170047 0.0011414366 0.0014331372 0.000684862 0.0011287541 0.0004692573 0.0004692573 0.0006087662 0.0009004667 0.0007355925 0.0006087662 0.00037413757 0.0011097301 0.00083071226 0.00082437095 0.0005453531 0.0012111912 0.0021243405 0.0043374593 0.10987596 0.00048828125 0.00058340095 0.0029740767 0.00045657466 0.00057705963 0.00045023335 0.0003360897 0.00010146104 0.00034877233 0.0012238738 0.002111658 0.00039316152 0.00019658076 0.0023018974 0.0005516944 0.0004692573 0.000703886 0.00039950284 0.0014394785 0.00082437095 0.0009892451 0.0008180296 0.00074827514 0.00021560471 0.00052632915 0.0003360897 0.0009702212 0.00074827514 0.0013063109 0.000805347 0.0017882509 0.0018960532 0.0011668019 0.002111658 0.002657011 0.000906808 0.0005707183 0.0016741072 0.001610694 0.0014838676 0.00036145496 0.001471185 0.0009131493 0.0018072748 0.0021687297 0.0008751015 0.00020292208 0.002016538 0.0020419033 0.0026443284 0.0016867898 0.0006785207 0.00078632304 0.0005960836 0.00052632915 0.00085607753 0.00075461646 0.00024096997 0.0005136465 0.0003043831 0.00045023335 0.001407772 0.0012809456 0.00082437095 0.0021306819 0.0005136465 0.0013570414 0.0010463169 0.00015853287 0.00039950284 0.0020672686 0.000684862 0.0052823154 0.00024096997 0.0009702212 0.00037413757 0.0005960836 0.00027901787 0.00035511365 0.00024731128 0.00019658076 0.00019658076 0.00021560471 0.0003868202 0.0002092634 0.0013507 8.2437095e-05 0.00013316762 0.0004185268 0.0011160715 0.00020292208 0.00013950893 0.00045023335 0.0010399757 0.0006404728 0.00028535916 0.00048193993 0.0004185268 8.877841e-05 9.511972e-05 0.001027293 0.00057705963 6.975447e-05 0.00015219155 0.0002536526 0.0006087662 0.00015219155 0.0002980418 0.00069754466 0.0013126521 0.0012428977 0.00018389813 0.00079266436 0.00031072443 0.0006658381 0.0006341315 0.0008116883 0.0007355925 0.00082437095 0.00036145496 0.0007990057 0.0002536526 0.0007165686 0.0009702212 0.0007165686 0.0018960532 0.0007229099 0.00028535916 0.0011414366 0.001972149 0.0011858259 0.00031072443 0.001027293 0.0005960836 0.0009321733 0.0002092634 0.00014585024 0.0534446 0.0005390118 0.00032974838 0.0003804789 0.00074827514 0.00027267655 0.00015219155 0.00029170047 0.0013316761 0.00012048498 0.00031706574 0.0003043831 0.00069120334 0.00039316152 0.00046291598 0.00041218547 0.00058974227 0.0006087662 0.0002980418 0.00051998784 0.0022701907 0.00034877233 0.00022828733 0.00032974838 0.00049462257 0.00058340095 0.00057705963 0.0002980418 0.0024667715 0.0018389813 0.00026633524 0.001693131 0.0017692269 0.00049462257 0.00041218547 0.015390371 0.015548904 0.015073306 0.00026633524 0.0004185268 0.001490209 0.00043120942 0.07284269 0.0002536526 0.0027457895 0.00045023335 0.00032340706 0.00040584416 0.0017375203 0.000684862 0.00062779017 0.08534142 0.12398195 9.5741425e-06 1.2765523e-05 1.2765523e-05 2.8722427e-05 0.0 0.0 0.0 0.0 3.1913808e-06 9.5741425e-06 3.1913808e-06 0.006539139 6.3827615e-06 0.0 0.000111698326 0.012120864 1.2765523e-05 3.191381e-05 9.5741425e-06 4.148795e-05 5.4253473e-05 9.574142e-05 8.29759e-05 0.0 0.0 6.3827615e-06 6.3827615e-06 0.00060317095 3.1913808e-06 0.0 3.1913808e-06 0.01735792 0.0019084456 9.5741425e-06 1.2765523e-05 1.5956904e-05 1.2765523e-05 3.191381e-05 1.2765523e-05 0.000134038 1.5956904e-05 1.2765523e-05 1.2765523e-05 1.2765523e-05 1.2765523e-05 1.2765523e-05 3.191381e-05 0.06386272 0.0059902216 0.000108506945 0.000114889706 0.00045955883 0.0002999898 0.00067657273 0.0004818985 0.00030637256 0.00012127247 0.00015956904 0.0004308364 0.004008374 9.574142e-05 0.00034466913 0.00097017974 0.005300883 0.0008616728 6.3827615e-06 6.3827615e-06 2.2339666e-05 9.5741425e-06 1.9148285e-05 9.5741425e-06 2.2339666e-05 9.5741425e-06 9.5741425e-06 1.9148285e-05 1.9148285e-05 9.5741425e-06 1.5956904e-05 0.00019467423 0.023188572 0.00039253983 0.00057444855 0.00046913297 0.002096737 0.000268076 0.0016659007 0.00086486415 0.00017233456 4.787071e-05 4.787071e-05 7.021038e-05 0.00012127247 4.467933e-05 0.00027445875 0.008916718 0.036209404 0.00031275532 0.00036062603 0.00018510009 0.045362286 0.0001819087 0.0007340176 0.00043402778 0.00017871732 0.000105315565 7.340176e-05 8.935866e-05 0.00016276042 0.000105315565 0.0052338643 0.05406199 0.0560949 0.0009733711 0.0003319036 0.0005680658 0.050494026 0.00072125206 0.00161803 0.00069891236 0.0007435917 0.0007021038 0.00038615707 0.0011265574 0.0005170037 0.0005297692 0.009973065 0.08367162 0.023447074 0.00031913808 0.0015063317 0.00025531047 0.0139591 0.0011935764 0.006698708 0.0034722222 0.00056168303 0.0006733813 0.0003829657 0.00044998468 0.0003319036 0.00033509498 0.0014680352 0.023376863 0.026746962 0.0016403696 0.0012542126 0.002623315 0.0036988102 0.0011616626 0.0021350337 0.0014616523 0.0014169731 0.0005329606 0.000628702 0.0010084764 0.011871937 0.0005648744 0.0027605444 0.005852992 0.010716656 0.00050742953 0.00043402778 0.0023839613 0.0008106107 0.00083614176 0.002237158 0.0014616523 0.00052019506 0.0003510519 0.0002840329 0.00075316586 0.00045955883 0.00040211398 0.00051062094 0.0034754137 0.003488179 0.00056168303 0.00038615707 0.0004627502 0.0009127349 0.00054253475 0.00043402778 0.00024573633 0.0009574142 0.00023935355 0.00030956394 0.00055530027 0.005533854 0.00027765014 0.00055210886 0.004148795 0.010448581 0.0015127144 0.00074040034 0.001324423 0.0037690205 0.002766927 0.0014712266 0.0014456954 0.0054508783 0.00039573121 0.0016052645 0.0012797436 0.01712814 0.001072304 0.00295841 0.0054540695 0.011010263 0.0015829249 0.0010659212 0.0014393127 0.0034562654 0.0028403287 0.0017424938 0.0016818576 0.005533854 0.00052019506 0.0010882608 0.0019084456 0.014661203 0.0010212419 0.0027860755 0.0064848857 0.001819087 0.00035743465 0.00027445875 0.0003159467 0.00023935355 0.000268076 0.00045636744 0.00031275532 0.00033509498 0.00022977941 0.00025531047 0.00047551573 0.0005138123 0.00032232946 0.00028084152 7.978452e-05 0.006765727 0.0029169219 0.0024031096 0.0026041667 0.0019435509 0.0021669476 0.0033318014 0.002479703 0.0031052134 0.002036101 0.0016467525 0.0031562755 0.0030190463 0.002741396 0.002447789 0.0029871324 229.0 17.344978 3972.0 0.060171198 0.0010070493 0.000755287 0.0010070493 0.0010070493 0.003776435 0.0067975833 0.0050352467 0.000755287 0.0005035247 0.0005035247 0.00025176234 0.0067975833 0.0027693857 0.00755287 0.001510574 0.0050352467 0.0055387714 0.0065458207 0.00855992 0.0050352467 0.0050352467 0.00755287 0.0062940586 0.009566969 0.003021148 0.00427996 0.003776435 0.010070493 0.0067975833 0.006042296 0.003776435 0.0017623364 0.0050352467 0.0027693857 0.0055387714 0.0065458207 0.0055387714 0.003776435 0.0040281974 0.0017623364 0.0062940586 0.0 0.0017623364 0.0040281974 0.0032729104 0.0010070493 0.001510574 0.004531722 0.0025176234 0.00427996 0.0067975833 0.005790534 0.0027693857 0.0012588117 0.008056395 0.0012588117 0.002265861 0.0010070493 0.007301108 0.0027693857 0.0010070493 0.002265861 0.028449144 0.0020140987 0.05186304 0.00855992 0.030463243 0.026435046 0.08081571 0.009818731 0.011329305 0.012084592 0.04657603 0.0012588117 0.006042296 0.03247734 0.017875126 0.0407855 0.044813696 0.014350453 0.0020140987 0.054380666 0.043806646 0.059164148 0.022406848 0.0078046327 0.009566969 0.009818731 0.009566969 0.0047834846 0.001510574 0.0012588117 0.000755287 0.00025176234 0.0012588117 5.514511 1.0 0.0 0.0 4.0 157696.0 245760.0 1.0 0.0 85.0 1.0 1.0 0.0 0.0 0.0 1544107800.0 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 14.0 16.0 6.0 0.0 6.0 0.0 24064.0 1024.0 4096.0 9.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 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 -24064.0 -3584.0 116224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0671363 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 1.9740889 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.84494954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9653068 -4.520399 3.1911945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1938.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 8241.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1952.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 -23738.0 -3348.0 116118.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 111164.0 116406.0 122880.0 0.0 0.0 0.0 0.0 1256.0 241664.0 56.0 99568.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 99624.0 0.0 0.0 572.0 110592.0 0.0 0.0 0.0 0.0


Input: 0.030027822 0.004985654 0.0044345767 0.004493202 0.0050174785 0.003878475 0.0037997498 0.0038541874 0.0048792907 0.0038340874 0.0036925494 0.0034211986 0.004030063 0.0036481617 0.0035560364 0.004306439 0.004103763 0.003690037 0.0036406242 0.0035711115 0.0039588753 0.0037210246 0.0038273872 0.0035007612 0.003834925 0.0034170111 0.0035510114 0.0035577114 0.003963063 0.003467261 0.0033675984 0.0034940613 0.0046925275 0.0033784858 0.0035258865 0.0035191863 0.005246117 0.0036741244 0.003423711 0.003388536 0.0036498369 0.0033131607 0.0033784858 0.003713487 0.003530074 0.0033969108 0.003607124 0.0033441484 0.0039555253 0.0038910375 0.0036272241 0.0046188273 0.003811475 0.0035962367 0.0036020991 0.0035878615 0.0037955623 0.0036649117 0.0034278985 0.003871775 0.0037243746 0.0035845116 0.0034940613 0.0036732869 0.00460794 0.0040878505 0.0052251793 0.0043592015 0.004262889 0.0051297043 0.0037595497 0.003630574 0.0038558624 0.0035568739 0.0035133238 0.0034999237 0.003768762 0.0038768 0.0034077985 0.0035568739 0.0049270284 0.0038081247 0.0036154992 0.0042938762 0.00393375 0.0042360886 0.0039496627 0.0036649117 0.003605449 0.0036799868 0.0035350989 0.0038399498 0.0035208613 0.0037578747 0.0036347618 0.0036330868 0.0034061235 0.004161551 0.003525049 0.0035769742 0.0041808137 0.0044488143 0.0038617249 0.0034814987 0.004016663 0.0038575374 0.0037855122 0.0034747988 0.004061888 0.0035928865 0.0039153253 0.004004938 0.0036489994 0.0033407982 0.004043463 0.004094551 0.0051054163 0.0041531757 0.003560224 0.0036079616 0.0034605612 0.0034530237 0.0034262235 0.0035091364 0.0036314118 0.003573624 0.0034940613 0.0034990862 0.0040443004 0.003553524 0.0033558733 0.0048985532 0.0037386122 0.004040113 0.0035401238 0.0036381118 0.003969763 0.0058901566 0.0036958994 0.011893376 0.0034077985 0.004705928 0.0033776483 0.0034613986 0.0038927125 0.0036096366 0.0034521862 0.003551849 0.0035133238 0.0033910484 0.003427061 0.003268773 0.0035778116 0.003408636 0.0033675984 0.0034521862 0.0034496735 0.0033692734 0.0034312485 0.003526724 0.0036615618 0.003592049 0.0033290733 0.003282173 0.0034605612 0.0032930607 0.003302273 0.0032813356 0.0033525233 0.0032930607 0.0033759733 0.003303948 0.0033927234 0.003225223 0.003267098 0.0033123232 0.0036531868 0.0034161736 0.0034345987 0.0034982488 0.0035116489 0.0033516858 0.0034513485 0.0035216988 0.0039128126 0.0037947248 0.003828225 0.0034546987 0.0034429736 0.0032972482 0.0034412986 0.0034429736 0.0050082663 0.0036774743 0.003671612 0.0048256908 0.0037603872 0.0033215357 0.0038382749 0.0037771373 0.0036816618 0.0036372743 0.0033826735 0.0033826735 0.0034747988 0.0032913857 0.0034647486 0.003523374 0.003715162 0.0033751358 0.0038592124 0.0034371112 0.0033541983 0.0032913857 0.003528399 0.003448836 0.0039613876 0.0034580487 0.0033952359 0.0036422992 0.0036004242 0.003448836 0.0034094735 0.0035334239 0.003711812 0.003506624 0.0036548618 0.003531749 0.0035543614 0.0034948988 0.003408636 0.0034890363 0.0078105503 0.0037947248 0.0033843485 0.0040510003 0.003895225 0.003380161 0.0035258865 0.0034605612 0.0040819882 0.0034379486 0.003565249 0.003413661 0.0037662496 0.0033458234 0.0036984119 0.0035309114 0.0043424517 0.0035108114 0.0035761364 0.0035845116 0.004105438 0.0037444746 0.005161529 0.012300402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00075233035 1.0059013e-05 7.9633855e-06 7.9633855e-06 7.1251343e-06 2.8081411e-05 7.5442595e-06 6.7060087e-06 6.7060087e-06 2.9338787e-06 3.7721297e-06 2.9338787e-06 4.610381e-06 2.9338787e-06 3.7721297e-06 2.9338787e-06 0.0014912486 2.1794527e-05 1.6765021e-05 1.6765021e-05 1.5088519e-05 5.8677575e-05 1.6765021e-05 1.4250269e-05 1.4250269e-05 6.7060087e-06 7.5442595e-06 6.7060087e-06 9.220762e-06 6.7060087e-06 7.5442595e-06 6.7060087e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003038241 0.0004727736 7.083222e-05 5.1971565e-05 9.597975e-05 4.5684683e-05 0.0001165169 6.2449704e-05 4.6522935e-05 2.6824035e-05 4.0655177e-05 9.095024e-05 3.6883048e-05 2.4728406e-05 2.5985782e-05 4.484643e-05 0.0006697626 1.0059013e-05 0.0004216403 2.3051905e-05 0.00010939177 7.334697e-05 0.0014267033 0.00067102 6.286883e-06 2.5147533e-06 2.5147533e-06 2.5147533e-06 4.1912554e-06 2.5147533e-06 1.6765022e-06 6.286883e-06 0.0011232564 7.9633855e-06 3.3949167e-05 2.5985782e-05 0.0003461977 0.00017309884 0.0011446319 0.0005255834 1.131639e-05 5.448632e-06 1.8022398e-05 1.2573767e-06 5.448632e-06 2.0956277e-06 2.5147533e-06 6.7060087e-06 0.0010909837 3.0596166e-05 0.00016345896 0.00022507041 0.00014417918 5.90967e-05 0.00041116215 0.0002099819 7.041309e-05 1.4250269e-05 2.5147532e-05 1.4250269e-05 1.8022398e-05 1.96989e-05 2.0956277e-05 5.7839323e-05 0.0027616182 6.412621e-05 0.00049289165 0.00045223645 0.00034200645 0.0002020185 0.0011660072 0.0005930626 0.00014753219 3.9816925e-05 3.8978676e-05 0.00014082617 0.00015675295 5.6581946e-05 5.4905446e-05 0.0001575912 0.0022548954 0.00031560153 0.00023261468 0.0024523034 0.00023764418 0.00021543053 0.0002460267 0.0003051234 0.0003332048 0.0002397398 0.00019992288 0.00021040102 0.00020076113 0.00020118026 0.00023806331 0.0007007779 0.0012997083 0.0001525617 6.328795e-05 0.00012573766 0.00026949772 9.8913624e-05 9.2626746e-05 5.8677575e-05 0.00048073698 5.1971565e-05 5.364807e-05 0.0002493797 0.0001165169 0.0001328628 0.00034913156 0.0006965866 0.010190618 0.0019459999 0.002033178 0.0013235984 0.0036074135 0.00254032 0.0015679486 0.0014765792 0.006826717 0.00072131504 0.00053899543 0.0015675295 0.0018713955 0.0011366685 0.0025323564 0.00475456 0.013929637 0.0024560757 0.0026685724 0.002710485 0.005949068 0.0062386836 0.0024187735 0.0031736186 0.010746798 0.0016044126 0.0011605587 0.0017322458 0.004442731 0.002230586 0.005378638 0.009553967 0.052946873 0.05319751 0.05259816 0.05253529 0.052998006 0.05192127 0.052757427 0.052512657 0.052556667 0.052998845 0.051652193 0.05245398 0.05287101 0.05265474 0.05306339 0.053200442 5959.0 7.2807517 43386.0 0.02664454 0.0069607706 0.009496151 0.0067994283 0.0096344445 0.007882727 0.008136265 0.0069607706 0.007352602 0.0075139445 0.0072373576 0.0073295534 0.0077905315 0.0075139445 0.011455308 0.0074908957 0.009911031 0.01057945 0.010233716 0.009795787 0.009887982 0.009288711 0.009657493 0.009542248 0.009795787 0.009288711 0.009012124 0.00931176 0.008574194 0.008528097 0.00845895 0.009450053 0.007375651 0.009403955 0.009104319 0.011685797 0.0096344445 0.009288711 0.0094270045 0.008850781 0.007099064 0.0097035915 0.008297607 0.007375651 0.008274559 0.009380906 0.008274559 0.008182363 0.0094270045 0.008597244 0.009058221 0.011063477 0.009288711 0.007560042 0.008873831 0.008412852 0.0069377217 0.007744434 0.007859678 0.008113217 0.00845895 0.008228461 0.0072143087 0.0072834557 0.007076015 0.020767068 0.009795787 0.01415203 0.01438252 0.038491677 0.0098418845 0.010187618 0.011593602 0.02258793 0.0067994283 0.009012124 0.021942561 0.011731895 0.021112802 0.021112802 0.010902135 0.006615037 0.022703176 0.019384133 0.027359055 0.011847139 0.008942977 0.010210667 0.008597244 0.010026276 0.0070299176 0.006154059 0.0072604064 0.0067994283 0.0061079613 0.0064767436 6.4480734 2.0 4.0 0.0 17.0 1194026.0 208896.0 0.0 0.0 22.0 1.0 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 2.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 148992.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148992.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.751765 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 -3.8976884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6017766 0.0 0.0 0.0 0.0 0.0 0.0 -4.9370193 4.890763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -6276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 4341.0 0.0 0.0 0.0 0.0 0.0 -10388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148684.0 0.0 0.0 0.0 0.0 0.0 0.0 -6040.0 7388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6040.0 176128.0 7388.0 200704.0 0.0 0.0 0.0 0.0 6276.0 192512.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.2836344 0.019573633 0.009383614 0.012506598 0.0036654742 0.0035701718 0.004677145 0.001994018 0.010468594 0.0027637675 0.0013049088 0.0012389303 0.0013122398 0.0012535922 0.0007404258 0.005388247 0.0047138 0.00085039 0.00053515926 0.0010923113 0.0011509589 0.0012315994 0.0006524544 0.00053515926 0.0014881825 0.0007917424 0.0006817782 0.00093103043 0.0010923113 0.0010336637 0.00057181396 0.0029397104 0.007968741 0.00050583546 0.0007330948 0.000564483 0.009713506 0.0019133775 0.0004691807 0.0004838426 0.0032402792 0.000997009 0.0006377925 0.0006817782 0.00097501616 0.0009823471 0.011194358 0.00091636856 0.005974723 0.013181045 0.0034528766 0.0017520967 0.0030643365 0.0031816317 0.003423553 0.0066271774 0.003122984 0.002991027 0.00091636856 0.0004838426 0.00091636856 0.0006157997 0.00060113776 0.00046184973 0.0033135887 0.0037241217 0.0014661896 0.0037754383 0.005512873 0.011744179 0.0020086798 0.0015908158 0.02443405 0.006407249 0.00068910915 0.002829746 0.0042299572 0.0017081109 0.0071696676 0.0011143042 0.005688816 0.0005278283 0.0021992845 0.008342619 0.0030350126 0.0017520967 0.0019573632 0.0013122398 0.0014588587 0.0005571521 0.006531875 0.0022359393 0.0013855492 0.0014588587 0.0014661896 0.027117178 0.0026244796 0.025284441 0.0046111667 0.01275585 0.012528591 0.02194886 0.005234297 0.0053515923 0.002983696 0.019551639 0.0007917424 0.0009603542 0.008753153 0.0060333703 0.009999414 0.014031435 0.017015131 0.0005938068 0.017374348 0.0103366375 0.031655036 0.0057328017 0.004684476 0.0012315994 0.005681485 0.0017154419 0.00085039 0.0003665474 0.0006451235 0.00026391415 0.00050583546 0.00027857604 0.0018254061 0.0004985045 0.00092369947 0.0051683187 0.0024192128 0.002558501 0.00083572813 0.00034455457 0.0008210662 0.011685532 0.00019060465 0.0067664655 0.0003665474 0.0030570053 0.0002419213 0.00015394992 0.0066198464 0.00020526655 0.00027124508 0.00025658318 0.0004838426 0.00027857604 0.0002419213 0.00023459035 0.00060113776 0.00021992845 0.00013928802 0.00015394992 0.00029323794 0.0002272594 0.00013928802 0.00013195707 0.0012096064 0.00028590698 0.00028590698 0.00027124508 0.00040320217 0.00037387837 0.00026391415 0.0001979356 0.0007330948 0.00030056888 0.00028590698 0.0004105331 0.00051316636 0.00017594275 0.00023459035 0.0002125975 0.0009603542 0.0001686118 0.00024925225 0.00020526655 0.00020526655 0.00027857604 0.0006377925 0.00043252597 0.0012096064 0.0007550877 0.0004838426 0.0002125975 0.00026391415 0.0001832737 0.00019060465 0.00025658318 0.0039000646 0.0014661896 0.00085772097 0.0026684653 0.0023165797 0.0006231306 0.0010776494 0.0022139463 0.0009603542 0.00063046155 0.00037387837 0.0006524544 0.00025658318 0.00032256174 0.0005498211 0.00028590698 0.0015761539 0.0004691807 0.0010556566 0.00030056888 0.00030789984 0.0003372236 0.0003812093 0.0003958712 0.000997009 0.00093103043 0.0004838426 0.00053515926 0.00027124508 0.0002125975 0.00023459035 0.00026391415 0.0011949446 0.0004691807 0.0004691807 0.00030056888 0.00034455457 0.00027124508 0.0002272594 0.00021992845 0.0053442614 0.0015101754 0.00037387837 0.0010849803 0.0015981467 0.00035921647 0.00032256174 0.00038854027 0.0014955135 0.00093103043 0.00090170663 0.00027857604 0.00040320217 0.00025658318 0.000564483 0.00047651163 0.0012022755 0.00084305904 0.00065978535 0.0004398569 0.000425195 0.0005864759 0.0006964401 0.008613864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006935813 3.6991005e-05 7.0282906e-05 4.0690105e-05 3.3291904e-05 1.8495502e-05 9.987571e-05 6.2884705e-05 2.2194603e-05 2.2194603e-05 0.00018125592 7.398201e-06 1.8495502e-05 1.10973015e-05 7.398201e-06 7.398201e-06 0.006732363 3.6991005e-05 0.00022934422 4.4389206e-05 1.8495502e-05 2.9592804e-05 0.00018125592 0.00012576941 2.9592804e-05 2.5893703e-05 2.5893703e-05 2.5893703e-05 2.2194603e-05 1.10973015e-05 2.2194603e-05 1.4796402e-05 0.01266572 0.00061774976 0.00046978574 0.00019235323 6.2884705e-05 8.877841e-05 0.00029222894 0.00019605232 5.9185608e-05 5.1787407e-05 0.00023674243 4.0690105e-05 4.4389206e-05 4.0690105e-05 4.4389206e-05 4.8088306e-05 0.090472594 0.0016017104 0.004568389 0.0018236565 0.0012244022 0.0022749468 0.004231771 0.003210819 0.00049198035 0.00053636957 0.00054006866 0.00056596234 0.00045498935 0.00050307764 0.00037730823 0.00075831555 0.022505326 0.0007065282 0.0012133049 0.0010283499 0.00054006866 0.00075831555 0.001253995 0.0008655895 0.00014426491 0.00015536221 0.00014796402 0.00014056581 0.00024044153 0.00021084872 0.00017015862 0.00022194603 0.044755414 0.0008988814 0.0042539653 0.0021269827 0.0012391986 0.0015092329 0.00715406 0.0041503906 0.00026263614 0.00025523792 0.00022194603 0.00021084872 0.00033291904 0.00029962714 0.000258937 0.00025153882 0.04867646 0.0015906132 0.0072021484 0.009724935 0.0076793325 0.013050426 0.04390462 0.024480646 0.00047718396 0.00029962714 0.00028852982 0.00023674243 0.0005992543 0.00026263614 0.00030332623 0.00031442352 0.030121773 0.0014907374 0.004794034 0.01838453 0.019871566 0.026629824 0.06518555 0.043198094 0.00027743253 0.00019605232 0.00025153882 0.00022934422 0.00027373343 0.00023304332 0.00044389206 0.00054006866 0.025316643 0.0011800131 0.002434008 0.004461115 0.005267519 0.0058334814 0.015876539 0.009240353 0.0009617661 0.00046978574 0.00057705963 0.00047348486 0.0019272313 0.00041060013 0.00047348486 0.0008544922 0.0059814453 0.00018495502 0.00046978574 0.0007065282 0.0013982599 0.0010949337 0.0021343809 0.0011948094 0.00056596234 0.00014796402 6.2884705e-05 0.00014796402 0.00024783972 0.00013316762 0.00031442352 0.00036621094 0.0066509824 0.00050307764 0.0006473426 0.001324278 0.0020197087 0.001879143 0.0033032966 0.0021306819 0.0009876598 0.00042169745 0.00024783972 0.00019975142 0.00040320194 0.00027003433 0.00063994434 0.0010986328 0.049508758 0.008445046 0.011027019 0.0067508584 0.037475586 0.011352539 0.004609079 0.0062847715 0.029459635 0.004938299 0.0010505446 0.0031183416 0.012480765 0.0048421226 0.009717537 0.0110603105 0.012732304 0.0028483074 0.0044056284 0.004187382 0.005126953 0.0028261128 0.0057336055 0.0040616123 0.0041725854 0.0028557056 0.002175071 0.0011467211 0.002071496 0.0014574456 0.0016534979 0.0031516335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2438.0 20.703445 50475.0 0.004754829 7.9247155e-05 7.9247155e-05 5.9435362e-05 0.014700347 0.00015849431 1.9811789e-05 1.9811789e-05 0.0014462605 0.00041604755 1.9811789e-05 7.9247155e-05 0.00039623576 0.0013670133 0.025953442 0.0013273899 0.0055473004 0.029658247 0.007211491 0.0036057455 0.006993561 0.0074492325 0.008122833 0.016364537 0.005151065 0.004398217 0.0013670133 1.9811789e-05 0.00021792967 1.9811789e-05 1.9811789e-05 0.0 0.0005349183 0.005507677 0.0010500248 0.0071520554 0.006914314 0.028568598 0.0028132738 0.0022783556 0.0023576028 0.011253095 0.00033680038 0.0063793957 0.001783061 0.002238732 0.018008916 0.0020208023 0.0077662207 0.00017830609 0.0046161464 0.01884101 0.005705795 0.0019217434 0.0022783556 0.0020406141 0.0013075781 1.9811789e-05 0.01575037 0.0013075781 0.0011094601 0.0018821199 0.0016443784 0.07197623 0.00039623576 0.06704309 0.009668153 0.033026252 0.03215453 0.057652302 0.008142645 0.013689945 0.006181278 0.05162952 0.0011094601 0.0019217434 0.02214958 0.0156315 0.025913818 0.03712729 0.040376425 1.9811789e-05 0.045468055 0.022684498 0.079029225 0.011530461 0.011986132 0.002139673 0.013313522 0.003744428 0.0014660723 0.0 0.00017830609 1.9811789e-05 1.9811789e-05 1.9811789e-05 5.2798705 0.0 20.0 0.0 9.0 136408.0 94208.0 0.0 179.0 147.0 1.0 0.0 1.0 1.0 1876.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -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 -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 3.0 2.0 30.0 4.0 0.0 5.0 2.0 32256.0 1024.0 4096.0 12.0 1.0 0.0 1.0 5.0 0.0 0.0 -512.0 0.0 0.0 -512.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 -2560.0 0.0 3072.0 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 9728.0 0.0 0.0 -32256.0 -7680.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.029419 0.0 0.0 -0.8083242 0.0 0.0 0.0 0.0 0.0 4.8910303 0.0 0.0 -3.9898634 0.0 4.4745665 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1943667 0.0 0.0 0.0 0.0 0.0 5.4139886 0.0 0.0 -6.0804377 -5.1488757 0.0 0.0 0.0 0.0 -4.012199 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 -124.0 0.0 0.0 -88.0 0.0 0.0 0.0 0.0 0.0 2576.0 0.0 0.0 -2412.0 0.0 2916.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2400.0 0.0 0.0 -144.0 0.0 0.0 0.0 0.0 0.0 9328.0 0.0 0.0 -32096.0 -7588.0 0.0 0.0 0.0 0.0 -32.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 -2.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 2.0 2.0 -1.0 1.0 2.0 1.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 -2.0 0.0 2.0 -1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 3.0 3.0 1.0 3.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 1.0 -2.0 1.0 -2.0 -1.0 0.0 1.0 5.0 0.0 0.0 0.0 -1.0 0.0 3.0 1.0 0.0 1.0 -1.0 2.0 2.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 -2.0 -2.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 9328.0 57344.0 7588.0 69632.0 0.0 0.0 2916.0 45056.0 7160.0 129248.0 124.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 41920.0 0.0 0.0 0.0 0.0 1216.0 70968.0 0.0 0.0 0.0 0.0


Input: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.00055803574 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.0 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.001953125 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.00055803574 0.0008370536 0.0011160715 0.00027901787 0.00027901787 0.001953125 0.001953125 0.0008370536 0.0013950893 0.0033482143 0.0011160715 0.002232143 0.002232143 0.0013950893 0.002232143 0.0027901786 0.0016741072 0.0 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.003627232 0.00027901787 0.0013950893 0.001953125 0.0075334823 0.00027901787 0.00027901787 0.001953125 0.0011160715 0.0033482143 0.00027901787 0.0055803573 0.0008370536 0.0025111607 0.002232143 0.0011160715 0.0 0.0047433036 0.0025111607 0.005859375 0.006417411 0.0008370536 0.00027901787 0.0011160715 0.00027901787 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.00055803574 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.01953125 0.02368164 0.0061035156 0.025146484 0.03515625 0.033691406 0.03491211 0.028076172 0.0009765625 0.00390625 0.008544922 0.014892578 0.001953125 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.026819924 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.007662835 0.007662835 0.011494253 0.0038314175 0.0038314175 0.007662835 0.011494253 0.011494253 0.011494253 0.007662835 0.011494253 0.022988506 0.022988506 0.019157087 0.0 0.011494253 0.011494253 0.0 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.049808428 0.0038314175 0.01532567 0.026819924 0.10344828 0.0 0.0038314175 0.0038314175 0.011494253 0.0 0.0038314175 0.053639848 0.011494253 0.03448276 0.03065134 0.007662835 0.0 0.0651341 0.03065134 0.053639848 0.019157087 0.0038314175 0.0 0.01532567 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 5.293705 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1288815500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9240067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1555521 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.013491366 0.0041039465 0.004059749 0.00388256 0.0041595427 0.0039869538 0.0037511683 0.0038405627 0.0041511436 0.0038451625 0.003868961 0.003754568 0.004015952 0.0038579616 0.0037923655 0.0040843477 0.0040215515 0.003818964 0.003804965 0.0038355628 0.0039551556 0.0039051587 0.0037991651 0.0037655672 0.0038649612 0.003787566 0.0037753666 0.0037835662 0.0037911658 0.0037769666 0.0037971654 0.0038725606 0.0043455316 0.0038371629 0.003820964 0.003786766 0.004351731 0.0038595614 0.0037477685 0.0037969653 0.0038633612 0.003804165 0.003819964 0.0037951656 0.0038293633 0.003754968 0.0037767666 0.0037583676 0.003968755 0.0037737668 0.0037991651 0.0039731544 0.0038221637 0.0037941656 0.003735569 0.0037313695 0.003848962 0.0038129643 0.0036857722 0.003902359 0.0037971654 0.003788366 0.0037839662 0.0038577616 0.0038879598 0.0038957593 0.004484323 0.00404555 0.003996953 0.004122545 0.0038813602 0.0038611614 0.0038533618 0.0038313633 0.0038101645 0.003753968 0.0038233637 0.0039389567 0.0037393689 0.0038125643 0.004144344 0.003902159 0.00388556 0.003944956 0.003899359 0.0038775604 0.0040211515 0.0038773604 0.0038265635 0.0039731544 0.0037739668 0.0038697608 0.0037583676 0.0038441624 0.0038779604 0.003931357 0.0037441687 0.003994753 0.0037917658 0.003914958 0.0038637612 0.0041185454 0.003967555 0.0037779666 0.004032951 0.003912758 0.003950156 0.0037721668 0.003950956 0.0037753666 0.0039759544 0.0040095523 0.0038393626 0.00372337 0.0040055523 0.0039419564 0.004414927 0.0042357384 0.0038285635 0.0037777666 0.0038393626 0.0037507683 0.0037335693 0.0038227637 0.003820564 0.0038275635 0.0038645612 0.003868961 0.0038819602 0.0038287635 0.0037993651 0.0044243266 0.0039897533 0.004078348 0.0037653672 0.0037747668 0.003851362 0.0042457376 0.0038603614 0.004923096 0.0037901658 0.004160543 0.0037807664 0.0037975654 0.003850562 0.0037561678 0.0038089645 0.003752768 0.0037995651 0.0037731668 0.0037429687 0.0037209701 0.003741569 0.0037291695 0.003735169 0.0037011714 0.0037557678 0.0037407689 0.0037479685 0.003821764 0.0038123643 0.003900959 0.003819764 0.0037929656 0.0037997651 0.0037559678 0.0037971654 0.003769767 0.003805165 0.0037411689 0.0038087645 0.0037557678 0.00372297 0.0037509683 0.0037409689 0.0037575678 0.0037795664 0.0037319693 0.003785966 0.0037661672 0.0037635674 0.003689372 0.0037735668 0.003770167 0.0038383629 0.0037735668 0.003741369 0.0037633674 0.0037485682 0.0037977654 0.0038081647 0.0038811602 0.004171742 0.0038595614 0.0038901595 0.0039735544 0.0039435565 0.0038261635 0.0038441624 0.0038971591 0.003868761 0.003804765 0.0037509683 0.0037961653 0.0041965405 0.0037793664 0.0037555678 0.0038307633 0.0038355628 0.0038261635 0.0037449684 0.003737569 0.0037763666 0.003737369 0.0037595676 0.003706971 0.0039097583 0.0037595676 0.0037103707 0.0037963653 0.003804365 0.0037449684 0.0038067647 0.0037999651 0.003821164 0.0037609676 0.0038299633 0.0037577678 0.0038423624 0.0037511683 0.0037279697 0.0037797664 0.004486723 0.0037933656 0.0037983654 0.003918958 0.0038947593 0.0036609739 0.003786766 0.0038563616 0.00388256 0.0037829662 0.0037735668 0.0039093583 0.0038273635 0.003786766 0.0038391626 0.0039593554 0.003929757 0.0038427624 0.0038099645 0.0038473622 0.0039759544 0.0039059585 0.003979554 0.0057382453 0.0014162357 1.0001664e-07 2.500416e-06 7.001165e-07 1.400233e-06 2.0003329e-06 8.0013315e-06 2.1003495e-06 0.0 0.0 1.0001664e-07 0.0 2.0003328e-07 0.0 2.0003328e-07 3.0004992e-07 0.00019873308 0.0 8.0013314e-07 0.0 9.0014976e-07 1.0001664e-06 2.7004494e-06 7.001165e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00019013164 4.0006657e-07 1.2001997e-06 2.4003994e-06 3.400566e-06 1.3002164e-06 2.9004827e-06 2.0003329e-06 0.0 3.0004992e-07 0.0 4.0006657e-07 0.0 0.0 3.0004992e-07 1.0001664e-07 0.00035565917 4.0006657e-07 7.201198e-06 3.1005159e-06 1.4402396e-05 4.0006657e-06 1.0901814e-05 7.4012314e-06 8.0013314e-07 6.0009984e-07 4.0006657e-07 0.0 6.0009984e-07 0.0 1.6002663e-06 2.6004327e-06 0.00070061657 9.401564e-06 6.6010984e-06 6.5010818e-06 1.9003162e-05 8.701448e-06 1.4402396e-05 9.7016145e-06 1.0901814e-05 5.9009817e-06 6.5010818e-06 2.0003329e-06 4.300716e-06 2.6004327e-06 5.2008654e-06 7.001165e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0002932488 2.1003495e-06 1.400233e-06 3.3005492e-06 1.4202364e-05 8.101348e-06 3.6306043e-05 1.9203195e-05 2.0003329e-06 1.2001997e-06 1.8002995e-06 9.901648e-06 1.070178e-05 2.0003329e-06 2.4003994e-06 1.8002995e-06 0.00044757448 1.670278e-05 4.0606756e-05 8.501414e-06 3.9006492e-05 1.0901814e-05 0.000103317194 4.7707937e-05 1.1501914e-05 9.201531e-06 2.0403395e-05 3.8006324e-06 5.8009655e-06 6.3010484e-06 4.300716e-06 4.3707274e-05 0.0006449073 2.6004327e-05 8.761458e-05 4.5007488e-05 6.8411384e-05 2.5104177e-05 0.00013692278 7.291213e-05 7.901314e-06 1.070178e-05 1.550258e-05 1.6802796e-05 5.1008487e-06 4.9008154e-06 4.6007654e-06 5.660942e-05 0.001015769 1.4802463e-05 0.00023343884 0.00010611766 0.00016152688 0.0001430238 0.00068781443 0.00035325877 2.3803961e-05 5.2008654e-06 8.901481e-06 1.1201864e-05 3.6005993e-05 1.3302213e-05 2.1003494e-05 3.250541e-05 0.0003562593 8.0013315e-06 9.7916294e-05 7.5912634e-05 0.00010631769 7.171193e-05 0.0002926487 0.00016372725 5.5009154e-06 1.7802962e-05 2.3003827e-06 5.700949e-06 1.2102014e-05 2.7004494e-06 2.800466e-06 7.6012648e-06 0.00074012316 2.3603927e-05 0.0002475412 0.00010801797 0.0001797299 8.9014815e-05 0.00040396722 0.0002169361 1.5102513e-05 2.2003662e-05 1.7202863e-05 4.1806958e-05 4.1306874e-05 1.7202863e-05 1.3902313e-05 7.5712596e-05 0.00039876637 6.681112e-05 2.770461e-05 5.750957e-05 5.390897e-05 5.7409554e-05 2.1103511e-05 4.440739e-05 0.00013272208 1.0901814e-05 3.4105677e-05 6.621102e-05 0.00012082011 3.7306207e-05 1.3902313e-05 8.541421e-05 0.0021490576 0.00040466734 0.0003436572 0.00030335048 0.0007241205 0.0006160025 0.00037636262 0.0005204866 0.001273912 9.1715265e-05 0.00014942486 0.00019093177 0.0008120351 0.00017302879 0.00045427558 0.0008393397 0.003539989 0.0006805132 0.00071121834 0.00075612584 0.0013490245 0.00132152 0.00065000815 0.00097326195 0.0022975823 0.00016812798 0.00027274538 0.000282447 0.001213802 0.00034465734 0.0009812632 0.001868611 0.060133506 0.060103502 0.06014421 0.059603818 0.060008384 0.060051292 0.05980645 0.059865862 0.060177814 0.05983706 0.060007386 0.059787247 0.059930973 0.05985746 0.05996838 0.060774013 23708.0 6.181795 146558.0 0.021070156 0.009477477 0.0096958205 0.009197724 0.010446376 0.009893694 0.010098391 0.008897501 0.009511593 0.009634411 0.010084745 0.00899985 0.009538885 0.009668527 0.009764052 0.008774683 0.010234856 0.009470654 0.0091772545 0.009320542 0.010125684 0.009306896 0.009613941 0.008563163 0.009115845 0.0094365375 0.009238663 0.009047613 0.009347835 0.009770876 0.009081729 0.008938441 0.0095252395 0.010398613 0.011012705 0.009607118 0.009961926 0.009661704 0.0099551035 0.009504769 0.009054435 0.009968749 0.008897501 0.009300073 0.00992781 0.009272779 0.009143138 0.009313718 0.011121877 0.009702643 0.010166624 0.01089671 0.010193916 0.010289442 0.009880047 0.009900517 0.009852755 0.009341012 0.009109022 0.00897938 0.009886871 0.009143138 0.009306896 0.010234856 0.0088770315 0.015925435 0.010562371 0.014144571 0.012322767 0.018531913 0.009968749 0.011121877 0.011879256 0.014983829 0.009259133 0.009225016 0.014055869 0.009798168 0.015413693 0.014956536 0.01068519 0.008815623 0.014240096 0.013987636 0.01759713 0.012261357 0.010651073 0.009900517 0.010357674 0.009518416 0.009095375 0.009095375 0.008836092 0.009020319 0.008897501 0.008958911 6.5566373 4.0 0.0 0.0 75.0 5000309.0 11476992.0 1.0 0.0 176.0 0.0 1.0 0.0 0.0 0.0 1375347100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 139264.0 4096.0 4096.0 5.0 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 40960.0 0.0 0.0 0.0 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139264.0 0.0 11259904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1558228 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0818093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.627873 0.0 7.9998794 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 38678.0 0.0 0.0 0.0 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 -26432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -137233.0 0.0 11257640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 177700.0 11257640.0 212992.0 0.0 0.0 3808.0 11460608.0 0.0 0.0 28.0 144112.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 172440.0 0.0 0.0 740.0 143360.0 0.0 0.0 0.0 0.0