Input: 0.29915366 0.0059328796 0.0046622986 0.0031257 0.0035842294 0.0025971662 0.0019076221 0.002327649 0.004658798 0.0018901209 0.0018866208 0.0016521057 0.0031221998 0.0017326109 0.0012320789 0.0040357583 0.0034582212 0.0014035898 0.0014350918 0.0012810819 0.0019146225 0.0021001345 0.0013860887 0.0010395666 0.0061813956 0.0012565805 0.0009800628 0.0011655746 0.0012775818 0.0011795755 0.0010290658 0.0012390793 0.0040217573 0.001218078 0.0016206037 0.0011585741 0.002593666 0.0012530802 0.0010080645 0.0010185651 0.0017781138 0.0011585741 0.0014910954 0.0063319053 0.0012215782 0.0012880825 0.0012845822 0.0010290658 0.0031186996 0.0011060708 0.0014875953 0.0026321684 0.0013965893 0.0013195844 0.0009975638 0.0008155522 0.0014910954 0.0017851143 0.0011935764 0.0022051411 0.0013825885 0.0014420922 0.0010955702 0.0011515737 0.0027896785 0.0035037242 0.0042282706 0.0019076221 0.0022716455 0.0037277385 0.0019391241 0.0014945957 0.0021491374 0.0015085966 0.0011900761 0.0010675683 0.0015085966 0.0023486502 0.001344086 0.0010220654 0.0035562275 0.0014420922 0.0014175908 0.002299647 0.0016661066 0.0023311493 0.0026146674 0.0019286234 0.0012005769 0.0025656642 0.00091705867 0.0013160842 0.0013370856 0.002124636 0.0018761201 0.002607667 0.001795615 0.002390653 0.0011585741 0.0021386368 0.0020966341 0.0035702286 0.0020546315 0.0011690748 0.007010949 0.006730931 0.0027161739 0.0011375728 0.0024151546 0.0015681004 0.0021211358 0.0024641578 0.0022401435 0.0010220654 0.0028526825 0.002061632 0.0059643816 0.0052713375 0.0017746136 0.0013510864 0.0017746136 0.0014490928 0.001326585 0.0012110776 0.0015400986 0.0018621192 0.0012950829 0.0014630937 0.0030171932 0.0018691196 0.0018341173 0.005509353 0.0021946405 0.004480287 0.0013090838 0.0012390793 0.0020896338 0.0046903 0.0018866208 0.015068464 0.0016066028 0.004095262 0.0013510864 0.0014385921 0.0022296426 0.001781614 0.0015681004 0.0014630937 0.0014210909 0.0015260977 0.0015856015 0.0012215782 0.001218078 0.0014875953 0.0012460798 0.0010360663 0.0012530802 0.0011480735 0.0010920699 0.0010220654 0.0015540995 0.0017116095 0.0013580869 0.0016066028 0.0013370856 0.001109571 0.0010360663 0.001046567 0.0012635809 0.00124958 0.0014035898 0.0011550739 0.0010920699 0.0029436883 0.0010675683 0.001326585 0.001687108 0.001109571 0.0013055835 0.0009345598 0.0012425795 0.0011900761 0.0014665938 0.0016906082 0.0018166163 0.0011305724 0.0012600806 0.0014210909 0.0012985831 0.0012635809 0.0012005769 0.0011620744 0.004406782 0.002299647 0.0021736391 0.0030836973 0.0021456373 0.0014210909 0.0020966341 0.0028666835 0.0025236616 0.0020861335 0.0017151098 0.0017396114 0.0075394823 0.0015575996 0.0017221102 0.0016626064 0.002219142 0.0016976086 0.002061632 0.0018026154 0.0022471438 0.0017991151 0.002016129 0.0018691196 0.0022576444 0.0017851143 0.0020056283 0.002170139 0.0027756777 0.0020651321 0.0022716455 0.0017676131 0.00265667 0.0017641129 0.0018796202 0.0018026154 0.0025271617 0.0020756328 0.0018831205 0.0018621192 0.012016269 0.006030886 0.00530634 0.0052398355 0.005358843 0.0036052307 0.00265317 0.0019951276 0.00327971 0.0018796202 0.0019496247 0.0024571572 0.0060588876 0.006888441 0.0028736838 0.0013965893 0.0024501567 0.0013195844 0.0013230847 0.0013160842 0.0028561829 0.0024956597 0.006121892 0.13528016 0.021487888 3.161533e-05 1.2294851e-05 1.4051259e-05 1.2294851e-05 7.0256297e-06 8.782037e-06 8.782037e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0104014445 2.2833296e-05 2.4589703e-05 2.4589703e-05 2.1076889e-05 2.1076889e-05 2.4589703e-05 5.269222e-05 3.512815e-05 2.9858926e-05 2.8102519e-05 1.5807665e-05 1.7564074e-05 1.5807665e-05 2.1076889e-05 3.512815e-05 0.006549643 3.512815e-05 4.7423e-05 2.634611e-05 1.4051259e-05 1.4051259e-05 2.1076889e-05 4.7423e-05 2.1076889e-05 2.4589703e-05 4.0397368e-05 3.161533e-05 3.5128148e-06 0.0 3.5128148e-06 0.00031439692 0.01959975 8.957677e-05 8.606396e-05 5.0935814e-05 3.337174e-05 1.4051259e-05 3.337174e-05 0.00010011522 0.00017388433 0.00017388433 9.660241e-05 0.00010714085 0.00014753822 3.6884554e-05 4.3910186e-05 0.007989897 0.015087539 0.00020374326 0.000110653666 9.133318e-05 0.00013699978 9.308959e-05 0.00012646132 0.0001668587 0.00014578181 0.000379384 0.00021076888 0.00012294852 0.00015105103 6.674348e-05 6.498707e-05 0.0008272679 0.010691252 8.957677e-05 4.0397368e-05 3.337174e-05 0.00023008937 7.02563e-05 6.674348e-05 0.00013348696 0.00018793558 0.00046896076 0.00019320482 0.00018617918 0.0002810252 0.000110653666 4.7423e-05 0.0015579333 0.015342219 0.00016158947 0.00016334589 0.00017388433 0.0002388714 0.00014578181 0.00036533273 0.00034249944 0.00038640964 0.00053570425 0.00041626854 0.0003583071 0.0004074865 0.00022306373 0.00010889726 0.0022130732 0.01688083 0.00037060195 0.00068148604 0.00024589704 0.0004935505 0.00024589704 0.0013717542 0.00087820366 0.00051989657 0.000711345 0.0003583071 0.00023360219 0.00036533273 0.00043207622 0.00013875618 0.0012523185 0.016879074 0.0001194357 0.00051989657 0.0003126405 0.0010064214 0.00039167886 0.002112958 0.0013612157 0.00036884556 0.00038992244 0.0005444863 0.00030561487 0.00049003767 0.0006235246 0.000616499 0.0027347263 0.02520796 0.0005971785 0.0008448319 0.0006481143 0.0012611005 0.0009607548 0.0036234683 0.0023430474 0.0017335741 0.0013805362 0.0016141384 0.00072890904 0.0011715237 0.0011926006 0.0021375478 0.012108672 0.026344353 0.0009677805 0.0009045498 0.0007886269 0.0017651895 0.0010450624 0.0027874184 0.002021625 0.0020427017 0.00200933 0.0024800473 0.0018073432 0.003121136 0.0036427889 0.007194245 0.020214492 0.04716481 0.0027716109 0.0031545076 0.00248356 0.003156264 0.0029700848 0.0046246205 0.0044647874 0.00510412 0.0041714674 0.00401866 0.004254019 0.00550985 0.009486356 0.014502656 0.051227376 0.015876167 0.0011241008 0.0010538445 0.0010678957 0.0014683566 0.0014824078 0.0018863815 0.0024255987 0.0034372893 0.0018811123 0.0019144841 0.0021744324 0.0033617637 0.0043962877 0.009087652 0.01570755 0.043836415 0.0061807977 0.007649154 0.0074471673 0.008358743 0.0070115784 0.0064354767 0.006286182 0.010524393 0.003885173 0.0040028524 0.0046246205 0.0071731675 0.0053219143 0.0076421285 0.036282107 0.036649197 0.0093423305 0.0078019616 0.007838846 0.011560673 0.012660184 0.010603432 0.010494534 0.020869633 0.0033635201 0.003372302 0.0038096476 0.012461711 0.0047264923 0.011149674 0.020346222 0.014565886 0.0062141693 0.0063792714 0.0034372893 0.0043225186 0.004148634 0.008501012 0.0033881098 0.008251602 0.0029156362 0.0029718413 0.0023834447 0.006428451 0.002539765 0.0059594903 0.0075209364 604.0 10.955298 6617.0 0.034154452 0.0030225178 0.005591658 0.0019646366 0.0051382803 0.0031736437 0.0021157623 0.009067553 0.0045337765 0.0024180142 0.0036270213 0.009218679 0.0034758954 0.0036270213 0.0072540427 0.0042315247 0.0060450356 0.0024180142 0.0033247694 0.0045337765 0.0025691402 0.0027202659 0.0025691402 0.0025691402 0.0027202659 0.0051382803 0.0034758954 0.003929273 0.0048360284 0.0034758954 0.004080399 0.0030225178 0.00589391 0.012241197 0.006498413 0.010276561 0.0074051684 0.008614176 0.008311924 0.009672057 0.0108810635 0.009218679 0.0036270213 0.0037781473 0.006649539 0.0074051684 0.0031736437 0.0046849027 0.016774973 0.0037781473 0.006800665 0.019192988 0.008614176 0.0057427837 0.013299078 0.008614176 0.0036270213 0.0036270213 0.0031736437 0.0034758954 0.0021157623 0.0042315247 0.0025691402 0.0075562946 0.008916427 0.035816837 0.0074051684 0.029922925 0.022215506 0.07873659 0.0074051684 0.010125434 0.017530603 0.03883935 0.0060450356 0.004382651 0.029469548 0.01617047 0.030678555 0.03899048 0.013147952 0.0031736437 0.04624452 0.028562794 0.063472874 0.022215506 0.010125434 0.0042315247 0.006951791 0.010729938 0.0042315247 0.0022668883 0.0021157623 0.0021157623 0.0025691402 0.0036270213 5.860032 1.0 1.0 0.0 4.0 285696.0 372736.0 1.0 0.0 133.0 0.0 1.0 0.0 0.0 0.0 1353324700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 95744.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47616.0 0.0 0.0 0.0 0.0 0.0 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 -95744.0 0.0 137216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7992616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5926676 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8507247 0.0 4.9010177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47572.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -95380.0 0.0 137080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -2.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 146708.0 137080.0 233472.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 103024.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 145400.0 0.0 0.0 556.0 102400.0 0.0 0.0 0.0 0.0


Input: 0.16626345 0.022177419 0.010013441 0.013575269 0.012432796 0.0063844086 0.017204301 0.004099462 0.004502688 0.005846774 0.0038306452 0.004502688 0.0026209678 0.0059811827 0.0028225807 0.0026209678 0.002889785 0.002486559 0.002688172 0.0068548387 0.003091398 0.0018817204 0.0026209678 0.0030241935 0.002688172 0.002688172 0.0019489247 0.0017473118 0.0026209678 0.0048387097 0.0025537633 0.0028225807 0.014045699 0.0016129032 0.002889785 0.0026209678 0.0026209678 0.0028225807 0.0026209678 0.001545699 0.002688172 0.0027553763 0.0039650537 0.004502688 0.0016801076 0.0026209678 0.00813172 0.004973118 0.025806451 0.00907258 0.0029569892 0.004502688 0.0030241935 0.003091398 0.0021505377 0.0036290323 0.0027553763 0.002688172 0.0034946236 0.0021505377 0.002486559 0.0016801076 0.0023521506 0.0014784946 0.0020833334 0.00625 0.0027553763 0.0056451615 0.0030241935 0.0032258064 0.0031586022 0.002016129 0.0043010754 0.0037634408 0.0018817204 0.0018145161 0.003091398 0.0028225807 0.0024193549 0.0038978495 0.0031586022 0.0016129032 0.0046370965 0.0047715055 0.0029569892 0.00907258 0.0034946236 0.0019489247 0.0012768817 0.0021505377 0.0024193549 0.0016801076 0.0016801076 0.0011424731 0.0016129032 0.0022849462 0.0022849462 0.010819892 0.0034946236 0.007594086 0.006048387 0.015994623 0.0034946236 0.005376344 0.003561828 0.012634409 0.0026209678 0.0032258064 0.009946236 0.007123656 0.011021505 0.015591398 0.00577957 0.0034946236 0.015120967 0.010215053 0.017137097 0.006182796 0.002486559 0.0016801076 0.0024193549 0.004032258 0.0020833334 0.0018145161 0.0018145161 0.0014112904 0.0008736559 0.0016801076 0.002889785 0.0020833334 0.00672043 0.0012096774 0.0028225807 0.0017473118 0.006653226 0.0012768817 0.0016129032 0.0019489247 0.001344086 0.0014112904 0.0018145161 0.001545699 0.001545699 0.0016129032 0.0016801076 0.0018145161 0.0021505377 0.0021505377 0.0014784946 0.0016801076 0.0012096774 0.0016129032 0.0021505377 0.002486559 0.0014784946 0.0016801076 0.0018817204 0.0012768817 0.002016129 0.0014112904 0.0038306452 0.0016129032 0.0023521506 0.0018817204 0.0011424731 0.0012096774 0.0020833334 0.0012768817 0.0014112904 0.0018145161 0.0018145161 0.0012768817 0.0018145161 0.0016801076 0.0026209678 0.0017473118 0.0016129032 0.0021505377 0.0016129032 0.001545699 0.0024193549 0.0010080645 0.0018145161 0.0028225807 0.0023521506 0.0008064516 0.0019489247 0.0019489247 0.0014784946 0.0012768817 0.0012768817 0.0014784946 0.001545699 0.0019489247 0.0018145161 0.0025537633 0.002016129 0.0012768817 0.0014784946 0.0023521506 0.0014784946 0.001545699 0.0012768817 0.0017473118 0.0020833334 0.0016129032 0.0016129032 0.0017473118 0.0020833334 0.001344086 0.0010080645 0.0022849462 0.0014784946 0.0017473118 0.0012096774 0.002016129 0.0014784946 0.001344086 0.001344086 0.0011424731 0.0012096774 0.0014784946 0.0014112904 0.002016129 0.0016801076 0.0012768817 0.0018817204 0.0017473118 0.002016129 0.0016801076 0.0011424731 0.0018145161 0.0014784946 0.001545699 0.0018817204 0.0017473118 0.002217742 0.002217742 0.0018817204 0.0019489247 0.0016801076 0.0021505377 0.0016801076 0.0016129032 0.0018817204 0.0018817204 0.0018145161 0.0039650537 0.001344086 0.0014784946 0.002217742 0.001545699 0.001545699 0.002016129 0.0012768817 0.002688172 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.051682692 0.0013146034 0.0020282452 0.0040940503 0.0021784855 0.0017277644 0.008225661 0.0034179688 0.000788762 0.00011268029 0.00030048078 0.00015024039 0.00011268029 0.00011268029 0.00022536058 0.00045072116 0.04353215 0.0008638822 0.001990685 0.0022911658 0.002704327 0.0016902044 0.0129957935 0.0068359375 0.0005258414 0.00037560097 0.00030048078 0.0005258414 0.00060096156 0.00056340144 0.00056340144 0.00056340144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.060734674 0.0029296875 0.010929988 0.0065730168 0.0058969352 0.004657452 0.03192608 0.017578125 0.0013897235 0.001164363 0.0018780048 0.0012394831 0.0025540865 0.001577524 0.0018028846 0.0010141226 0.03173828 0.003530649 0.0045447717 0.0058969352 0.003155048 0.002704327 0.0058969352 0.0041691707 0.0032677283 0.0018028846 0.001990685 0.0015024039 0.0018404447 0.0013897235 0.0016902044 0.0018028846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09743089 0.03898738 0.04323167 0.0546875 0.037184495 0.03493089 0.06640625 0.048865683 0.03125 0.02332482 0.024639424 0.02377554 0.022460938 0.020282451 0.022536058 0.025390625 178.0 17.848314 3177.0 0.047843877 0.0012590494 0.0022033365 0.0028328612 0.0018885741 0.0025180988 0.0025180988 0.0015738118 0.0015738118 0.0028328612 0.0015738118 0.00094428705 0.0018885741 0.0037771482 0.025810514 0.016682405 0.041233867 0.022033365 0.006295247 0.012275732 0.004406673 0.0075542964 0.0028328612 0.0040919106 0.0050361976 0.004406673 0.008183821 0.0018885741 0.0012590494 0.0025180988 0.00094428705 0.0006295247 0.00031476235 0.017311929 0.0025180988 0.017311929 0.0056657223 0.004406673 0.0015738118 0.0022033365 0.00094428705 0.008813346 0.0012590494 0.00094428705 0.0040919106 0.004406673 0.0025180988 0.008813346 0.0040919106 0.0031476235 0.0075542964 0.009128109 0.0059804847 0.0018885741 0.004406673 0.00094428705 0.00094428705 0.00031476235 0.0047214353 0.0006295247 0.00031476235 0.0 0.0006295247 0.0012590494 0.0006295247 0.03871577 0.0094428705 0.02801385 0.02014479 0.059175324 0.008498584 0.013220019 0.010387158 0.043437205 0.0025180988 0.006295247 0.034938622 0.023292415 0.039030533 0.057916272 0.016367642 0.004406673 0.056657225 0.036512434 0.070192 0.022033365 0.0059804847 0.0018885741 0.0034623859 0.008813346 0.0012590494 0.00094428705 0.0018885741 0.0006295247 0.0006295247 0.00031476235 5.4755483 0.0 16.0 0.0 1.0 14880.0 32768.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1539590100.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 2560.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.695086 0.0 3.1522815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2292.0 0.0 848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 10392.0 848.0 16384.0 0.0 0.0 10272.0 4608.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.25641522 0.016528225 0.0067239995 0.004392601 0.010259696 0.0023391182 0.0022001606 0.0025398345 0.009858264 0.0027096714 0.002184721 0.0012583374 0.0072257905 0.0019145256 0.0010499012 0.005967453 0.00839921 0.0014744935 0.0007411067 0.00079514575 0.004022048 0.004292243 0.0010499012 0.0005249506 0.0034276186 0.00071794714 0.0004863513 0.00091094367 0.002848629 0.00073338684 0.0006175889 0.00065618823 0.010105299 0.00054811017 0.00083374506 0.0005944293 0.015447443 0.0010190217 0.0005403903 0.0008028656 0.0018913661 0.00055583 0.00053267047 0.0019454052 0.0013509758 0.0011888586 0.0012660574 0.00069478754 0.0044543603 0.002177001 0.001999444 0.006453804 0.002632473 0.0019068058 0.0014590538 0.0013818552 0.0030802249 0.0034430583 0.0016443306 0.0044157607 0.003172863 0.002408597 0.0018141675 0.0018836462 0.0050642295 0.016080473 0.00223104 0.0020457634 0.00727211 0.005419343 0.0038908103 0.0021615613 0.0019762847 0.0016057312 0.0005944293 0.00089550397 0.0037827322 0.0027714304 0.0016829298 0.0014358943 0.009032238 0.0038213315 0.0036592144 0.0050565093 0.0035048171 0.0032809412 0.005797616 0.0044698 0.0010885005 0.0033118206 0.00037827322 0.002624753 0.0018527668 0.0033890193 0.004145566 0.0037750124 0.0027482708 0.006600482 0.0025321147 0.00390625 0.004130126 0.010730607 0.0026942317 0.0018836462 0.005095109 0.00557374 0.006229928 0.00079514575 0.005342144 0.001960845 0.005295825 0.0056586587 0.0032114624 0.0006253088 0.0072643897 0.00504107 0.01726933 0.01230546 0.0022078804 0.0017910079 0.0016211709 0.0017987278 0.0006175889 0.00067934784 0.0020920825 0.0019145256 0.0014976532 0.0012120183 0.0034430583 0.0035588562 0.00050951086 0.014235425 0.0044698 0.01112432 0.0009727026 0.0005944293 0.0027714304 0.008352891 0.0025552742 0.027220232 0.0011502594 0.009626668 0.00079514575 0.0009572628 0.0014281744 0.00033967392 0.00031651434 0.00029335474 0.0012351779 0.00065618823 0.00055583 0.0002624753 0.0006870677 0.00030879446 0.00023159586 0.0005172307 0.00077198615 0.00050951086 0.0006098691 0.0004014328 0.0009341033 0.001003582 0.00030879446 0.0010499012 0.001003582 0.0005712698 0.00025475543 0.0001621171 0.0008414649 0.00050951086 0.0002856349 0.00037827322 0.00081058545 0.00049407117 0.0005789896 0.00027019516 0.00094954297 0.00029335474 0.00045547183 0.00041687253 0.001003582 0.00077198615 0.0014822134 0.00069478754 0.0023159585 0.00084918475 0.0006330287 0.00060214923 0.0011579792 0.0010113019 0.00111166 0.0007025074 0.009765625 0.0026015933 0.001613451 0.007194911 0.0074651064 0.00089550397 0.002400877 0.0043771616 0.0023777173 0.002678792 0.0005249506 0.0004786314 0.015694479 0.00040915268 0.0005403903 0.0005172307 0.0019222456 0.0010730608 0.0015902915 0.00083374506 0.0007874259 0.00053267047 0.0010730608 0.0006253088 0.0016829298 0.00037827322 0.0005172307 0.0014358943 0.0010962203 0.00044775198 0.00035511365 0.00037055335 0.0021384016 0.00071794714 0.00038599307 0.00029335474 0.0019145256 0.001335536 0.0005403903 0.0005172307 0.013270442 0.0018296072 0.00087234436 0.0036128953 0.0034276186 0.00060214923 0.00053267047 0.0005789896 0.0026942317 0.00079514575 0.00037055335 0.0009804225 0.0012892169 0.00050951086 0.002956707 0.001999444 0.0038213315 0.0012351779 0.0008414649 0.0009881423 0.0032114624 0.0029875864 0.0025629941 0.041224062 0.032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.021035157 0.00017578126 0.00015625 0.0001484375 0.000703125 0.00014453125 0.00026171876 0.00028125 0.00029296876 9.765625e-05 4.296875e-05 0.00012109375 1.953125e-05 4.6875e-05 0.00011328125 0.000359375 0.0068789064 0.00021484375 0.00021875 0.0 0.00022265625 8.203125e-05 0.0001171875 8.984375e-05 7.03125e-05 1.171875e-05 7.8125e-06 1.5625e-05 3.90625e-06 0.0 1.5625e-05 5.078125e-05 0.01864453 0.00013671875 0.000171875 0.0009804687 0.001125 0.00021484375 0.0009453125 0.0006210937 0.0001328125 0.00015234375 0.0001328125 0.00016796876 0.00015234375 0.0001484375 0.0001328125 0.000140625 0.005859375 4.6875e-05 6.25e-05 8.203125e-05 0.00059765624 0.00012890625 5.078125e-05 7.8125e-05 7.8125e-05 0.00037109375 9.375e-05 9.375e-05 2.34375e-05 0.0001171875 0.000125 0.00019140624 0.0057109375 0.00023046875 0.00024609375 2.734375e-05 0.0005625 0.00013671875 0.00016015625 0.0001171875 7.421875e-05 0.000359375 8.59375e-05 2.34375e-05 2.34375e-05 0.0001015625 5.078125e-05 8.984375e-05 0.029300781 0.0007421875 0.0028359375 0.0015117187 0.0023164062 0.0012539063 0.010992187 0.005761719 0.00055078126 0.00030078125 4.6875e-05 4.296875e-05 0.00013671875 6.25e-05 8.984375e-05 5.46875e-05 0.020535156 0.00019921875 0.0034882813 0.0021953124 0.004691406 0.0023515625 0.019105468 0.009605469 0.000296875 0.00017578126 0.00016015625 0.00030859376 0.00035546874 0.0001875 0.00015625 0.0001875 0.012207031 0.00029296876 0.0015859375 0.0034921875 0.0015429688 0.0013125 0.0051757814 0.003015625 0.00041015624 0.00033984374 0.00034375 0.00055078126 0.00063671876 0.00034375 0.000359375 0.000390625 0.02519922 0.0015117187 0.0023203124 0.013136718 0.0039335936 0.0023554687 0.008003906 0.0052539064 0.0026875 0.0011796874 0.0018828125 0.0027617188 0.003109375 0.00128125 0.0013984375 0.003984375 0.0109375 0.0010859375 0.0016679687 0.0026445312 0.0013945312 0.0010195313 0.0029648438 0.0024492186 0.0040664063 0.00065625 0.0006210937 0.0011289063 0.0014023437 0.0009296875 0.0014140625 0.0056171874 0.0975625 0.018960938 0.021007812 0.012316407 0.027363282 0.034179688 0.017101562 0.021910157 0.057308592 0.0039101564 0.0036054687 0.006171875 0.038632814 0.0063515627 0.016363282 0.033253904 0.040777344 0.008347657 0.005933594 0.008289062 0.0150625 0.016640626 0.0069804685 0.01253125 0.027390625 0.0016679687 0.0025351562 0.0031875 0.015726563 0.0053125 0.0126953125 0.024921875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 903.0 14.266889 12883.0 0.038655594 0.0010867034 0.004502057 0.0008538384 0.008926492 0.0031824885 0.0008538384 0.0039587053 0.003570597 0.0013195684 0.0013971901 0.001164325 0.0026391367 0.0043468135 0.0053558955 0.0033377318 0.014282388 0.0069859503 0.00884887 0.007141194 0.008072654 0.004967787 0.0041139484 0.0048125437 0.009004114 0.008383141 0.0058216252 0.0039587053 0.010867034 0.0065202205 0.0053558955 0.006132112 0.0028720018 0.014980983 0.0027167585 0.009392222 0.008771249 0.007762167 0.007995032 0.006830707 0.0051230304 0.006364977 0.0017076768 0.004269192 0.008693627 0.006209734 0.0048901653 0.0048901653 0.0138166575 0.004967787 0.008771249 0.016300552 0.0095474655 0.004502057 0.0076845456 0.009004114 0.0024838934 0.0017852985 0.0010867034 0.0017076768 0.0069859503 0.0017076768 0.0013195684 0.0058216252 0.0051230304 0.036482185 0.008072654 0.02693472 0.023907475 0.08134751 0.008460762 0.010789412 0.010944656 0.039121322 0.005045409 0.004734922 0.034464024 0.013350927 0.03430878 0.040596135 0.014980983 0.0019405418 0.048047815 0.034231156 0.054568034 0.017930606 0.010323683 0.0055887606 0.0069859503 0.009702709 0.0018629201 0.0013971901 0.0021734068 0.0014748118 0.0016300551 0.0020957852 5.8164873 1.0 0.0 0.0 3.0 129536.0 163840.0 1.0 0.0 204.0 1.0 1.0 0.0 0.0 0.0 1368499000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 79360.0 1024.0 4096.0 8.0 1.0 0.0 1.0 4.0 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 26624.0 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 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79360.0 0.0 5632.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.726837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.136084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.279273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5332527 0.0 4.999802 0.0 1.41547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1272.0 0.0 0.0 0.0 -12388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79232.0 0.0 5552.0 0.0 596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -2.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 111668.0 5552.0 143360.0 0.0 0.0 0.0 0.0 4572.0 151552.0 28.0 91024.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 110664.0 0.0 0.0 848.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.50614697 0.0041193822 0.0024721434 0.0015804244 0.0026880063 0.00092769624 0.0012180831 0.0007221126 0.00326878 0.00075038034 0.0043789316 0.00071440317 0.002664878 0.0044174786 0.00050367997 0.0064938734 0.0023667817 0.0014981909 0.0021432096 0.00039060894 0.0011050121 0.0030400683 0.00022871181 0.00026982854 0.0008711607 0.00032122445 0.0004214465 0.00037262036 0.00073496153 0.0006604375 0.0006450187 0.00055764563 0.032631267 0.00045228403 0.0005293779 0.0012797583 0.00090199825 0.0017012047 0.00052423833 0.0005216685 0.0007478105 0.00081462524 0.0006501583 0.0005447967 0.0012257926 0.0008197648 0.0019813124 0.00092769624 0.0008968587 0.001976173 0.0012283623 0.0027085645 0.00044714444 0.0008814399 0.00039574853 0.00021843263 0.0008351836 0.0014853419 0.0010124994 0.0033176062 0.0009379754 0.001408248 0.0004291559 0.00046513302 0.0015829941 0.001295177 0.0005447967 0.0016112619 0.0016420995 0.0050367997 0.002161198 0.0008094856 0.001395399 0.0011898153 0.009739526 0.00063987914 0.0012283623 0.0018348341 0.0011718269 0.0011230008 0.0056792484 0.0008480326 0.0010381974 0.0031736977 0.0014570742 0.0013517125 0.002790798 0.0025595166 0.0006707167 0.0041527897 0.00026982854 0.0011461289 0.0006527281 0.0016164015 0.0011178611 0.0010870235 0.00042658608 0.007783911 0.0015495868 0.003990893 0.00452798 0.013971979 0.0069461577 0.00163439 0.006182928 0.007848156 0.0025800748 0.0005679248 0.004563957 0.0035308993 0.0075654783 0.0075911763 0.0032610707 0.0003546318 0.0067354343 0.0068433657 0.012923502 0.0062780106 0.0018605321 0.0018759508 0.0015984129 0.0016061222 0.00025697958 0.00031865467 0.00091998687 0.0014288063 0.0005396571 0.0003083755 0.0015418774 0.0007118334 0.00032636404 0.0055533284 0.003420398 0.008336417 0.00026725876 0.0004034579 0.00061161135 0.004453456 0.00026211917 0.009739526 0.00051395915 0.004322396 0.00024413058 0.00020301386 0.0073007895 0.00013105958 0.00022100242 0.0002467004 0.00046513302 0.0002467004 0.00015932733 0.00021329304 0.0005216685 0.00027496813 0.00019273467 0.00021072324 0.00038546935 0.00075038034 0.00019787427 0.00026468895 0.0005062497 0.0011589779 0.0002364212 0.0006552979 0.0004111673 0.00060133217 0.00024927018 0.00015675754 0.00043172567 0.00011307101 0.00013362938 0.00027496813 0.00026725876 0.00013105958 0.0002852473 0.00010793142 0.0004728424 0.00011307101 0.00014390856 0.0001773159 0.00044200485 0.0013568521 0.00018502529 0.00041373709 0.00084032316 0.00055250607 0.0004728424 0.0003083755 0.0004728424 0.00062959996 0.00022614202 0.00063730933 0.0045716665 0.00057306443 0.001156408 0.0008711607 0.001182106 0.00026468895 0.00062189053 0.00125663 0.0008942889 0.0010279183 0.00018502529 0.00024156079 0.00073496153 0.000238991 0.00022100242 0.0002312816 0.004602504 0.00087887014 0.0024078984 0.0032559312 0.0004856914 0.00013876897 0.00066557707 0.00073496153 0.0014493647 0.00028781712 0.00026725876 0.0006450187 0.0010613257 0.00024413058 0.00018502529 0.00019273467 0.0009097077 0.00025440977 0.00019530447 0.00019273467 0.00081462524 0.00021843263 0.00025697958 0.00045228403 0.006226615 0.0035000616 0.00024156079 0.0016138316 0.002186896 0.00022614202 0.00031608486 0.000477982 0.0014056782 0.00028010772 0.00031094527 0.00043172567 0.0032559312 0.0017140537 0.0009970807 0.0008249044 0.0021714773 0.0016806463 0.0015187493 0.0013619917 0.0020224291 0.0032225237 0.0029861026 0.04551622 0.27689928 0.0 2.4478479e-05 6.441705e-06 4.2515254e-05 1.1595069e-05 1.8036775e-05 1.288341e-05 1.2883411e-06 0.0 1.2883411e-06 2.5766822e-06 0.0 6.441705e-06 0.0 1.8036775e-05 0.0126978895 1.288341e-05 9.276055e-05 1.8036775e-05 0.00012496908 5.9263686e-05 2.9631843e-05 4.2515254e-05 2.5766822e-06 1.2883411e-06 1.2883411e-06 2.5766822e-06 1.2883411e-06 3.8650232e-05 1.2883411e-06 6.570539e-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 0.002289382 1.0306729e-05 0.00010177894 4.766862e-05 3.3496868e-05 2.4478479e-05 3.2208525e-05 4.3803597e-05 2.705516e-05 1.2883411e-06 3.8650232e-06 3.8650232e-06 2.5766822e-06 6.441705e-06 7.7300465e-06 2.5766822e-06 0.0021888914 2.5766822e-06 1.288341e-05 1.0306729e-05 0.00023705474 0.00012496908 1.2883411e-06 1.2883411e-06 7.7300465e-06 1.1595069e-05 2.5766822e-06 2.5766822e-06 5.1533643e-06 2.576682e-05 3.8650232e-06 0.0 0.004038949 8.116548e-05 0.00034398705 7.8588804e-05 9.147221e-05 6.312871e-05 0.00025380318 0.00016748434 1.4171751e-05 5.1533643e-06 1.0306729e-05 1.6748434e-05 5.1533643e-06 4.6380275e-05 9.018388e-06 5.153364e-05 0.0047063096 1.8036775e-05 0.00093791226 1.4171751e-05 0.00019582783 1.9325116e-05 0.0011942921 0.00054239156 3.607355e-05 3.2208525e-05 2.1901798e-05 3.4785207e-05 2.1901798e-05 0.00012368074 6.441705e-06 1.0306729e-05 0.16144717 0.00063772884 0.035283796 0.0034269872 0.0062239757 0.0044666785 0.061011966 0.028459454 0.00029889512 8.760719e-05 6.9570415e-05 5.6687004e-05 0.00014558254 4.5091936e-05 4.766862e-05 0.0017212236 0.012084639 0.0001855211 0.0012406724 0.00034141037 0.0011131266 0.00044705434 0.0016452115 0.0009198755 0.00022030632 0.00010822064 0.00019325115 8.631885e-05 0.00018423276 0.00017521439 0.00017521439 0.0019879101 0.006509987 0.00028987674 0.00043288257 0.00036331217 0.0009907342 0.0005926369 0.0028923256 0.0016207331 0.00013398747 0.00022803636 0.00013914083 0.00015588927 0.00029245342 0.00018680946 0.0003169319 0.0033239198 0.0067689437 0.00068153243 0.00085159345 0.00047797454 0.00093920063 0.00040067406 0.0010396912 0.00075883284 0.0003233736 0.0003104902 0.00018165608 0.0001442942 0.0001004906 0.00018423276 0.0002860117 0.0023821425 0.0019234931 0.00034012203 0.00030920186 0.00021257627 0.00036846552 5.6687004e-05 0.00014687088 0.00019711618 0.0001004906 0.00015460093 3.3496868e-05 2.0613457e-05 4.5091936e-05 9.276055e-05 0.00011208567 0.001163372 0.0017740456 0.00015331258 0.00014815922 0.0002473615 0.0002860117 0.00013656415 0.00015717761 0.0003452754 0.00029889512 0.00015717761 9.920226e-05 0.00011079733 0.00028987674 9.6625576e-05 0.000166196 0.00081036653 0.005536001 0.0013746598 0.0006879741 0.0012471142 0.0018784013 0.0021618363 0.001518954 0.001507359 0.004377783 0.00083097996 0.0004934346 0.00097269745 0.0013463164 0.0016967452 0.0021566828 0.009152374 0.04306795 0.011528076 0.00557594 0.011962246 0.020007936 0.020628916 0.011079733 0.012191571 0.034485023 0.009666422 0.0043764943 0.005715081 0.011637584 0.014569849 0.014547947 0.048642606 0.0006969925 0.00033496867 0.00015460093 0.0001855211 0.00047668617 0.00043674762 0.00028343502 0.00034656373 0.0006634956 0.00020871125 9.7913915e-05 9.40489e-05 0.00022417134 0.00024864983 0.00028214668 0.00054239156 453.0 12.101545 5482.0 0.0040131337 0.0014593215 0.003101058 0.003101058 0.0049252096 0.0014593215 0.009668005 0.0045603793 0.0036483034 0.016234951 0.015322875 0.00054724555 0.0010944911 0.0049252096 0.009485589 0.002918643 0.006019701 0.07752645 0.052170742 0.010580081 0.0014593215 0.00091207586 0.00072966074 0.0014593215 0.00091207586 0.0049252096 0.007843853 0.0023713973 0.0016417366 0.00036483037 0.0020065669 0.00054724555 0.0032834732 0.0052900403 0.0021889822 0.013681138 0.0052900403 0.007114192 0.014228384 0.009485589 0.0067493618 0.008938343 0.007843853 0.0023713973 0.007114192 0.002918643 0.0032834732 0.0025538125 0.009850419 0.0036483034 0.005107625 0.020612914 0.007296607 0.0021889822 0.014410799 0.020612914 0.00091207586 0.013681138 0.00036483037 0.0021889822 0.00091207586 0.0021889822 0.0032834732 0.012404232 0.00036483037 0.023713972 0.002918643 0.02152499 0.014045969 0.07770886 0.012586648 0.010762495 0.014228384 0.030828165 0.009668005 0.005472455 0.030828165 0.0134987235 0.028091937 0.034294054 0.013681138 0.00054724555 0.03703028 0.024626048 0.057643197 0.019518424 0.0049252096 0.011127326 0.0052900403 0.0076614376 0.0012769062 0.00054724555 0.00072966074 0.004195549 0.00018241518 0.00054724555 5.6548667 0.0 0.0 0.0 2.0 389136.0 397312.0 1.0 0.0 189.0 0.0 1.0 0.0 0.0 0.0 1208114000.0 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 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 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 129024.0 1024.0 4096.0 3.0 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 -117248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129024.0 0.0 141824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.1724627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5902042 0.0 3.8347735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -117284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -128544.0 0.0 141472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -2.0 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 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 128576.0 141472.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 132548.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 103232.0 88.0 584.0 768.0 4096.0 128.0 127752.0 0.0 0.0


Input: 0.19146788 0.005976662 0.0041030534 0.0030136767 0.005815641 0.0031001512 0.0027592238 0.0029321725 0.007380129 0.002622058 0.0024938374 0.0024441397 0.005104962 0.0029391302 0.0023248647 0.005817629 0.005200382 0.0027423266 0.0022940522 0.0022622456 0.0034599635 0.0027870547 0.0023357985 0.0022900763 0.0028983778 0.0023268526 0.0022026082 0.002276161 0.0025335958 0.0021767654 0.002158874 0.0023725748 0.003560353 0.0021876988 0.002368599 0.0023387803 0.0038456186 0.0022135417 0.0021181218 0.0022533 0.0026975987 0.0020883032 0.0021220976 0.0025842874 0.0024838978 0.0030593988 0.002226463 0.0021539042 0.0032234017 0.002663804 0.002712508 0.004166667 0.0027850668 0.0026270277 0.0025932333 0.0025534749 0.002966961 0.0027254294 0.0026757317 0.0036845976 0.002895396 0.003124006 0.0026687738 0.0039937184 0.004188534 0.0032999364 0.0037084527 0.0026548584 0.0059359097 0.014000875 0.0028655773 0.0024411578 0.0031737038 0.0023059796 0.0025236562 0.0021638437 0.0025544688 0.00910862 0.0024033873 0.0022940522 0.0054995627 0.004042422 0.0031995468 0.0027443145 0.0028675653 0.0074536814 0.0033039122 0.0029192509 0.002527632 0.0032840332 0.00211514 0.002437182 0.0023984176 0.0034410784 0.0028297948 0.0028576257 0.0023517017 0.003127982 0.0023159191 0.0026250398 0.003766102 0.0036438454 0.0035265586 0.002319895 0.0034639393 0.0029391302 0.0038078483 0.002369593 0.0035205947 0.0025355837 0.0030623807 0.0031448791 0.0027592238 0.002155892 0.0037492048 0.0033665316 0.005699348 0.005094028 0.0023566715 0.0024063692 0.0026240458 0.0025365776 0.0022234812 0.0021032125 0.0024640188 0.002664798 0.0023149252 0.0024848918 0.003653785 0.0026747375 0.0022214933 0.00707399 0.0027651878 0.005284868 0.002114146 0.0021608619 0.0028645834 0.0100826975 0.0026966047 0.022346135 0.0023795324 0.0068195374 0.0020773695 0.002065442 0.002505765 0.0021946565 0.0021091762 0.002255288 0.0023845022 0.002822837 0.0020694179 0.0021111642 0.0024222727 0.0021628498 0.0020843274 0.0021608619 0.0023854962 0.0021916747 0.0021211037 0.002252306 0.0023338103 0.0029729246 0.0020972488 0.0025902514 0.0023427561 0.0022224872 0.002155892 0.002091285 0.0023994115 0.0021181218 0.0021906807 0.0021300493 0.0023785385 0.0021399888 0.0021081823 0.0020177322 0.002621064 0.0021081823 0.0020535146 0.0020892972 0.002459049 0.002156886 0.0032512324 0.0022214933 0.0029699428 0.0022175175 0.0021946565 0.0021201097 0.0025047709 0.0023924538 0.0022811308 0.0023566715 0.0047222883 0.0030862356 0.003195571 0.003583214 0.003699507 0.0024510974 0.0033734892 0.0047143367 0.003241293 0.0028069338 0.0021876988 0.0021171279 0.011340053 0.0022204993 0.0022900763 0.0022155296 0.0030603928 0.0022890824 0.00252962 0.0022423663 0.0028307887 0.0022155296 0.0021926686 0.002182729 0.0030961751 0.0021956505 0.0021240856 0.0023010098 0.002782085 0.0023139312 0.0020624602 0.0021608619 0.0032721057 0.0021936626 0.0021191158 0.00215788 0.0031836433 0.0029769004 0.0021459525 0.0020962548 0.008685194 0.0032721057 0.00220559 0.003950978 0.0056605837 0.0021171279 0.0021727895 0.0022632396 0.0042799776 0.0022423663 0.0022652275 0.0023626352 0.003859534 0.0020992367 0.002597209 0.002731393 0.0039817905 0.002505765 0.0024043813 0.0022930582 0.0054041427 0.0023606473 0.004663645 0.021806417 0.117227316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009009063 3.484168e-06 1.990953e-06 6.570145e-05 2.9864298e-06 3.981906e-06 4.4796443e-06 1.990953e-06 1.990953e-06 3.981906e-06 2.9864298e-06 3.981906e-06 4.9773826e-06 4.9773826e-06 6.470598e-06 4.4796443e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0070395125 0.00013339386 0.0003105887 8.162908e-05 0.00059778366 9.6063486e-05 0.00054900534 0.00026230808 3.8823586e-05 0.00012692326 4.03168e-05 4.380097e-05 4.5294182e-05 7.714943e-05 8.013586e-05 0.0006709512 0.009330104 0.00036733085 0.00051466137 0.00021203651 0.0010347979 0.00028122214 0.0008785081 0.000509684 8.162908e-05 0.00016226267 5.126704e-05 5.3755735e-05 5.773764e-05 8.511324e-05 8.113134e-05 0.00056991033 0.0061157104 0.00012642553 0.00061072485 0.00014135767 0.0008506347 0.00020257948 0.0019785096 0.0010467436 6.570145e-05 0.00011398207 7.466074e-05 8.511324e-05 8.8099674e-05 7.3665266e-05 9.656123e-05 0.00056194654 0.0076716403 0.00037230822 0.0007675124 0.00044895994 0.0017371066 0.0005549782 0.0027415424 0.0016017217 0.00014782826 0.00017271518 0.00010751147 0.00028520403 0.000113484326 0.00012543004 0.00011647076 0.00036484216 0.0073705083 0.00029466106 0.00069434487 0.000785431 0.0017828986 0.0005853402 0.002622583 0.001677378 0.00017968351 0.00021502294 0.00017719483 0.00019312245 0.00026628998 0.0001353848 0.00012244361 0.00022696865 0.0032651632 0.0005654307 0.00068638107 0.006776707 0.00074810063 0.0004967428 0.00077796495 0.0009272864 0.0005460189 0.00049972924 0.0004628966 0.00047285136 0.00051416364 0.0004967428 0.0005639375 0.00054850755 0.009356982 0.0011856125 0.00053755735 0.00093325926 0.0046453914 0.0027753885 0.0009765625 0.00069484266 0.007728382 0.0005370596 0.0005385528 0.00061918644 0.0035135346 0.00075208256 0.002683307 0.0053357542 0.03566046 0.005339736 0.0033263848 0.0040167477 0.01823713 0.012661964 0.004497563 0.005098831 0.030933937 0.002069098 0.002319958 0.0032372898 0.016637897 0.0033288735 0.011546034 0.020496862 0.013707214 0.0028211805 0.0019849802 0.003191 0.004862903 0.004748921 0.0024239854 0.003668331 0.008307749 0.0008934402 0.0012971059 0.0017336224 0.0049096905 0.0020905007 0.004089418 0.007567613 0.0316457 0.031153439 0.030911539 0.031475477 0.031209683 0.031592943 0.031125067 0.03156905 0.031354524 0.031492397 0.0312719 0.031322174 0.031164886 0.03146602 0.031162398 0.031611856 3454.0 9.120729 31503.0 0.023140654 0.0043170494 0.0051423674 0.0054597976 0.012728946 0.0046027363 0.004570993 0.0066025457 0.007332635 0.0047614514 0.0052058534 0.0049201665 0.0067295176 0.0051423674 0.009300701 0.0046979655 0.0127606895 0.01044345 0.011967114 0.010189506 0.012221058 0.01076088 0.011967114 0.010252992 0.011808399 0.009522903 0.012379773 0.012633718 0.013173348 0.010824366 0.011490969 0.017172968 0.02828302 0.009872076 0.0052375966 0.008538869 0.008475384 0.0061581437 0.007142177 0.006951719 0.0078405235 0.0061264005 0.0046027363 0.0046979655 0.007872266 0.0052693393 0.0054597976 0.0054915403 0.011173539 0.0053645684 0.006634289 0.008538869 0.008761071 0.007554836 0.011363997 0.009554646 0.0088880425 0.0054597976 0.0056819986 0.0051106242 0.00717392 0.0052058534 0.0055867694 0.013332063 0.0070469477 0.025045235 0.011808399 0.018030029 0.019236263 0.03574263 0.009522903 0.008983271 0.010030791 0.022823224 0.0066025457 0.0053645684 0.022124877 0.01107831 0.022251848 0.031298608 0.0123162875 0.0052058534 0.023680285 0.024569089 0.034790337 0.011967114 0.006983462 0.0054915403 0.009681618 0.009015014 0.0054280544 0.0053963116 0.0066025457 0.0045392504 0.0046979655 0.0050153956 6.3337803 0.0 0.0 0.0 11.0 1006080.0 1019904.0 1.0 0.0 75.0 1.0 1.0 0.0 1.0 0.0 1542294000.0 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 15.0 6.0 0.0 6.0 0.0 274432.0 1024.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -636928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79360.0 0.0 0.0 0.0 0.0 0.0 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 -274432.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1453295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.981749 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4852347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.340869 0.0 6.1160793 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -636676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79162.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -273930.0 0.0 5848.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 355952.0 5848.0 372736.0 0.0 0.0 0.0 0.0 14084.0 380928.0 28.0 332016.0 0.0 0.0 0.0 0.0 24.0 332208.0 64.0 332048.0 0.0 0.0 304.0 278528.0 0.0 0.0 0.0 0.0


Input: 0.05652227 0.008284247 0.006163099 0.0056581134 0.005747957 0.0049496875 0.004208215 0.0054236925 0.0050457274 0.0056209364 0.0037466025 0.0044643227 0.0049527856 0.0031682956 0.0043218113 0.0046409126 0.0050261063 0.0037662236 0.0049228375 0.0041617444 0.0043486613 0.0031910148 0.0041039134 0.0038467734 0.0050591524 0.0033479838 0.0031610667 0.0029349073 0.00415245 0.0034316317 0.00378791 0.00378791 0.0061569028 0.0038219888 0.0034884298 0.0030288822 0.0048949546 0.004155548 0.0038374793 0.0037228505 0.004719397 0.0038994406 0.0033376568 0.003100138 0.004369315 0.0037238833 0.0037259487 0.0035865353 0.005519733 0.0039438466 0.0031073669 0.0029049595 0.0036743141 0.003073288 0.0026880943 0.0028677825 0.0041669076 0.0033190683 0.003521476 0.0033583108 0.00400271 0.0032178648 0.003508051 0.0034564163 0.006584437 0.0039428137 0.003621647 0.0032230283 0.0041669076 0.0032261263 0.0035452277 0.0030670918 0.00499306 0.003774485 0.0037032294 0.0035865353 0.0041214693 0.0031176938 0.0035617508 0.0034667433 0.0051634545 0.0036453987 0.0036629546 0.003343853 0.003928356 0.0033758665 0.003357278 0.0035359336 0.0046450435 0.0036453987 0.0038106292 0.003507018 0.004112175 0.003390324 0.0036929026 0.003798237 0.0059069917 0.003627843 0.0033345588 0.0029565939 0.003988252 0.0030546996 0.0032715646 0.003040242 0.0049755047 0.0031755243 0.0032106359 0.0030557322 0.0035762084 0.0028398999 0.0030856803 0.0031992763 0.004502532 0.003287055 0.0032250935 0.003153838 0.00389531 0.0033417877 0.0032880877 0.0036330065 0.0046212915 0.0032984146 0.0034781029 0.0031724263 0.004032658 0.0032013417 0.0034750048 0.0033459184 0.008638459 0.0045944415 0.004008906 0.0035256066 0.0043569226 0.0034295663 0.003026817 0.003384128 0.004545905 0.0038323158 0.0029627902 0.0031930802 0.0037373083 0.0028120172 0.0028512594 0.0029917054 0.0052264486 0.0032023743 0.003494626 0.0030247516 0.0036650198 0.0031910148 0.0033159703 0.003264336 0.0045510684 0.0028440307 0.00304334 0.0027128789 0.0035152796 0.003237486 0.0030020324 0.0031445436 0.0050157793 0.0034130432 0.0032746627 0.0027965268 0.003774485 0.003006163 0.0030567648 0.0031879167 0.0041317963 0.0030020324 0.0031207919 0.003013392 0.0036453987 0.0028419653 0.0029276786 0.0030350785 0.0046625994 0.0031207919 0.0038385119 0.0028605538 0.0035596853 0.003149707 0.002992738 0.003133184 0.004263981 0.003153838 0.0033376568 0.0031837858 0.0036505621 0.0032044398 0.0033355914 0.0033417877 0.006710425 0.004059508 0.0037238833 0.003343853 0.0041194037 0.0032653685 0.0033077088 0.003213734 0.0043249093 0.0033335262 0.0031083995 0.0030784514 0.0036464315 0.0029844765 0.0030784514 0.0028006576 0.004251588 0.0032798261 0.0030991053 0.0030040976 0.0037166544 0.0030257842 0.0029328421 0.0029493652 0.0039799907 0.0031145955 0.0027304345 0.0026416231 0.0035318027 0.0029524632 0.0035824047 0.002889469 0.0049548508 0.0032416165 0.0033954876 0.002976215 0.0038044332 0.0030743207 0.0032044398 0.0029225152 0.004439538 0.0054474445 0.003470874 0.003140413 0.0037858447 0.0030846477 0.0032416165 0.0031889493 0.0046119974 0.0033149377 0.0034316317 0.0030495361 0.00373421 0.0030918764 0.0033159703 0.003243682 0.0043517593 0.0030392092 0.0031899821 0.0028688153 0.004008906 0.0030939418 0.0042206077 0.004502532 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 0.004567809 0.0002932791 0.00027207198 0.000263796 0.0003087965 0.00023845091 0.00032896915 0.0003119 0.00032586567 0.00035172803 0.00032586567 0.00035172803 0.0005203506 0.00015103615 0.00018620896 0.0007360426 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 0.09909523 0.06198896 0.06245086 0.055341817 0.060576875 0.059607554 0.054971468 0.054512154 0.06049929 0.053196277 0.05214161 0.053003863 0.05641562 0.050592456 0.0566758 0.05384542 4038.0 5.7023277 23026.0 0.017328238 0.010423 0.009337271 0.008685834 0.013419612 0.0125076 0.0118127335 0.011378442 0.012594459 0.009814992 0.008512117 0.008598975 0.013984192 0.010596717 0.011682446 0.009988708 0.0166768 0.011899591 0.008729262 0.007513246 0.009771562 0.008512117 0.007773821 0.008294971 0.010205855 0.008425258 0.009597846 0.00885955 0.0114653 0.0089464085 0.009597846 0.009206983 0.017979676 0.010987579 0.010423 0.008989838 0.0108572915 0.008816121 0.010640146 0.008251541 0.0142013375 0.011595587 0.009728134 0.008902979 0.011421871 0.009293842 0.011639017 0.009597846 0.014809346 0.009728134 0.010118996 0.0089464085 0.012116738 0.0093807 0.009554417 0.009771562 0.013680188 0.009163554 0.010509859 0.009554417 0.011161296 0.009771562 0.010423 0.010640146 0.017892817 0.01094415 0.009684704 0.008208113 0.01302875 0.008208113 0.0094241295 0.008425258 0.015417354 0.0093807 0.00885955 0.008642404 0.011291583 0.008077825 0.009858421 0.007947537 0.013115608 0.007990967 0.008685834 0.008902979 0.011595587 0.009510987 0.0083384 0.008034396 0.010900721 0.009033266 0.01202988 0.008512117 0.011378442 0.009033266 0.010032138 0.008816121 6.5547485 0.0 0.0 0.0 14.0 968344.0 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