Input: 0.1275756 0.010491771 0.005643994 0.0033544886 0.0072633945 0.0031592587 0.0021389185 0.0026881234 0.011410248 0.003510401 0.0024267214 0.001974735 0.00596239 0.0023944285 0.0015340794 0.002846075 0.023755288 0.002304915 0.0012690517 0.0010773342 0.0036787768 0.0043488815 0.0011671876 0.0011965344 0.0024940264 0.0013913112 0.0010674763 0.0010909311 0.0021341597 0.0011442993 0.0010876452 0.0010355235 0.0044797524 0.0011016955 0.0014521576 0.0010156946 0.0025717558 0.0011995938 0.0010017577 0.0010507067 0.0018676588 0.0010352968 0.0010153546 0.0013357901 0.0020939352 0.0010867388 0.0012783429 0.0013007779 0.0037518605 0.0024021335 0.0024838287 0.0044412273 0.0030338266 0.0022848595 0.0021939864 0.0022784008 0.002964482 0.002434313 0.0023692742 0.009205497 0.0033388522 0.0023364148 0.0027097652 0.002309674 0.003331487 0.0023163592 0.004171894 0.0020150726 0.0025047907 0.023171524 0.0014829775 0.0012520554 0.003263842 0.0022217468 0.0020572233 0.0010747281 0.0021054926 0.021995157 0.0016711823 0.0017040417 0.00970156 0.0068383752 0.005218295 0.0017520845 0.002837237 0.012558286 0.0022689963 0.0020271966 0.0024312537 0.0018573477 0.0016043305 0.0010605645 0.0035260373 0.00429574 0.0018923599 0.0026647819 0.0023100139 0.0025381034 0.0012359656 0.00241811 0.003997286 0.0039515095 0.0018690184 0.0016227998 0.008645981 0.0024633198 0.005883414 0.0045545357 0.0027241553 0.0016441017 0.0021233952 0.0024019068 0.0032649753 0.0007917976 0.0026737333 0.0022548328 0.008209405 0.004531194 0.001070989 0.0012655391 0.0021235086 0.0011531374 0.0010785806 0.00078624545 0.0014140861 0.004282596 0.000994506 0.00086748746 0.0031500808 0.002989523 0.0017646616 0.011632218 0.0036028603 0.0059432406 0.00076517015 0.000771742 0.0025189542 0.015809437 0.0010201136 0.050646037 0.001500087 0.010305492 0.0008741726 0.000962553 0.0025369702 0.00156184 0.00074579444 0.0012212356 0.0015022398 0.0023245174 0.0007883983 0.00076539675 0.0016312979 0.0008850502 0.00082057784 0.0007966698 0.0014422998 0.0008368942 0.0007479473 0.0006855145 0.0023402672 0.0017222844 0.000678716 0.0012235017 0.001884655 0.0008864099 0.00083825394 0.00077650097 0.0018098716 0.0007975763 0.0009381917 0.0012596471 0.0017501581 0.0013374898 0.0008749658 0.0008317954 0.0024227556 0.000854457 0.00091156433 0.0008788183 0.0017788252 0.0009403446 0.0012814022 0.0012256546 0.0039749644 0.0018634663 0.0014049081 0.0011033951 0.0019050505 0.0014904558 0.0008030151 0.0025579322 0.007619749 0.002978532 0.002932529 0.002066288 0.0050239717 0.001329105 0.0016258591 0.0075989 0.0030389254 0.0011006757 0.0008653346 0.0008252235 0.039764374 0.0016691429 0.0009788694 0.001085719 0.002858199 0.0011087205 0.0011157456 0.0009073719 0.0023016292 0.00084833836 0.0008850502 0.0009361522 0.0033132446 0.0010362033 0.0010241927 0.0010466276 0.0030400585 0.0013713689 0.0014253036 0.0010218131 0.0037439289 0.0011425997 0.0010235128 0.0009306001 0.003134331 0.0034036646 0.0008296425 0.0009068054 0.024976183 0.0030464039 0.0010035706 0.0035890366 0.01108086 0.0009525819 0.0009179096 0.0009878207 0.0071174535 0.0009840815 0.0009676519 0.0014668878 0.009842402 0.0010471942 0.0011436195 0.0013376031 0.007093772 0.0011304758 0.0012289406 0.0013229863 0.01764673 0.0022752283 0.0038588233 0.05016357 0.000115256364 5.6664877e-08 1.13329754e-07 0.0 1.6999464e-07 0.0 0.0 0.0 1.3599571e-05 1.3032922e-06 7.366434e-07 0.0 6.7997854e-07 0.0 3.9665414e-07 0.0007960849 0.000113216425 0.0 1.13329754e-07 0.0 2.2665951e-07 0.0 0.0 1.9266058e-06 1.6999464e-07 6.2331367e-07 7.366434e-07 8.4997316e-07 1.1899624e-06 3.3998927e-07 7.366434e-07 0.0001119698 0.0019259825 8.839721e-06 8.273072e-06 5.156504e-06 5.383163e-06 5.3264985e-06 2.068268e-05 3.439558e-05 4.9185113e-05 2.079601e-05 5.2698338e-06 7.026445e-06 7.933083e-06 7.819753e-06 6.403131e-06 0.00031856995 0.0008097411 8.896386e-06 7.0831097e-06 1.6999464e-07 6.85645e-06 6.7997854e-07 2.8332438e-06 5.099839e-07 8.726392e-06 1.184296e-05 5.099839e-06 8.4997316e-07 9.633029e-07 1.1899624e-06 2.708581e-05 0.00073216687 0.00019934704 1.4732868e-06 1.4732868e-06 1.0766327e-06 5.666488e-07 2.1532653e-06 4.249866e-06 4.249866e-06 2.5159206e-05 6.006477e-06 1.869941e-06 5.666488e-07 4.929844e-06 0.0003954642 1.8189427e-05 0.00037767141 0.0011086484 1.0483002e-05 8.3864015e-06 7.366434e-06 0.0002981139 0.00018421751 1.6886133e-05 8.556396e-06 4.5388566e-05 1.4676203e-05 7.479764e-06 9.066381e-06 1.5582842e-05 0.00020898007 4.555856e-05 0.0005637022 0.005117632 9.7293596e-05 0.000115993 0.00026530496 0.0016573344 0.00086209946 0.00015588508 0.00014670537 8.409068e-05 5.5021595e-05 2.4819215e-05 2.7142476e-05 4.6295205e-05 0.00024218569 0.0001908473 0.0010076715 0.010616561 0.0009293607 0.0005833649 0.00015815167 0.00070751767 0.00040181066 0.0015333516 0.0005644389 0.00019186728 0.0002595818 7.71209e-05 8.1994076e-05 0.00011531303 0.00041087702 0.00021192664 0.0021889075 0.011497473 0.0014846198 0.00048471137 0.00024592556 0.00063068006 0.0003375527 0.0012742798 0.0003846412 0.00021583652 0.00032882628 0.00019521051 0.00017696442 0.00019322723 0.00034406915 0.00027544796 0.0018910769 0.0044201436 0.00048556132 0.0005123638 0.00041790347 0.0011129548 0.00082113076 0.0021951974 0.0010420104 0.00012262279 0.00013769565 0.0001531085 0.00012908259 0.0002269995 0.00028049113 0.00016540478 0.0010069915 0.0045591425 0.00046589863 0.0011023586 0.0019518784 0.0024157371 0.0014304481 0.002918241 0.0013725933 0.00013582571 7.570428e-05 8.8907196e-05 0.00013599571 0.00031341345 0.00032536974 0.00011882625 0.00046130878 0.01004198 0.0026459098 0.002147089 0.020515462 0.0025722454 0.0025389832 0.0030070918 0.0021416491 0.0019225826 0.001627472 0.001639825 0.0016546145 0.0023600922 0.0017925934 0.0018203591 0.0023820782 0.008726448 0.0025708855 0.00092244754 0.0010675663 0.0024391396 0.0023371428 0.003058317 0.0016050893 0.0043884115 0.0008453833 0.00059350795 0.0007326769 0.0034289618 0.0008253806 0.0018798007 0.0057764743 0.058187917 0.015957793 0.0050792694 0.008492875 0.02565576 0.020885201 0.012351527 0.009713607 0.046143796 0.0042084437 0.0041660583 0.0062779584 0.032078497 0.004835724 0.0223284 0.040104624 0.0661295 0.018699126 0.0069353846 0.010550037 0.030969 0.02572336 0.016831791 0.013014676 0.054023728 0.004868816 0.006298981 0.00929542 0.034769624 0.0076463018 0.027867448 0.04423453 0.010776413 0.0068768496 0.0069726696 0.0068542403 0.007874038 0.007006839 0.007004629 0.006724364 0.006899572 0.006829421 0.0066894023 0.00686835 0.006951137 0.006922068 0.006718358 0.006688722 34332.0 12.3668585 424579.0 0.020907769 0.0013213089 0.0013330852 0.0011046237 0.0052428404 0.0013707696 0.0025083672 0.0014414279 0.00571154 0.0021786287 0.0016840211 0.0013472169 0.012230939 0.002138589 0.0060789627 0.0070022303 0.016498696 0.014996031 0.017379569 0.013556959 0.016239617 0.014126935 0.012563033 0.013295523 0.015104374 0.012122597 0.013622906 0.011105118 0.025392212 0.0122804 0.022507 0.012376966 0.010838972 0.011430146 0.0120330965 0.015533034 0.012918679 0.009739059 0.005582 0.003624767 0.007833642 0.010612866 0.0025766701 0.0019949174 0.008405974 0.0062885825 0.008175157 0.009604809 0.010151233 0.0025648938 0.00991806 0.0122921765 0.015408204 0.004767075 0.0064534517 0.005195735 0.006319201 0.001486178 0.004531548 0.001570968 0.012683152 0.0013048219 0.0016957974 0.008891161 0.0047953385 0.027643854 0.0072707315 0.021053797 0.01795661 0.0431604 0.00927036 0.00867212 0.012518283 0.025557082 0.0028121974 0.003881492 0.02606582 0.014369529 0.02257766 0.025950411 0.018912852 0.0011164 0.031725544 0.02271191 0.045883097 0.00858262 0.0061449106 0.006973967 0.0090536745 0.0041005327 0.0036977807 0.0010857815 0.0040133875 0.0011470186 0.0011093342 0.0009892152 6.1138372 2.0 20.0 0.0 24.0 8825488.0 8847360.0 1.0 0.0 982.0 1.0 1.0 1.0 0.0 0.0 1530854900.0 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 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 -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 10.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 6983168.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -343040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6983168.0 -24576.0 1414144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5939617 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0745125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.269594 -5.8298016 3.0248234 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -342596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -67796.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6983041.0 -24340.0 1414104.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 -3.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 1.0 1.0 -1.0 -1.0 2.0 0.0 1.0 -2.0 -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 -2.0 -1.0 -1.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 2.0 -1.0 0.0 1.0 -1.0 0.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 2.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 -3.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 -1.0 1.0 2.0 1.0 -2.0 2.0 -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 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 1.0 -2.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 -3.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 2.0 -1.0 1.0 -1.0 -1.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 2.0 0.0 0.0 -3.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 1.0 -1.0 -3.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -2.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 2.0 -3.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 -2.0 -1.0 2.0 1.0 0.0 2.0 1.0 1.0 0.0 -4.0 1.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 2.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 2.0 1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 2.0 1.0 2.0 -1.0 0.0 -1.0 -1.0 2.0 1.0 0.0 0.0 1.0 1.0 1.0 -3.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 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 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 1.0 1.0 -1.0 -1.0 0.0 0.0 1.0 5.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -2.0 3.0 1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 -2.0 0.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 1.0 2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 -2.0 -1.0 2.0 3.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 2.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 -2.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 2.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 -1.0 0.0 2.0 1.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 3.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 2.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 2.0 1.0 1.0 -1.0 -2.0 1.0 1.0 0.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68561.0 6918576.0 240.0 7061384.0 1414816.0 7086080.0 0.0 0.0 16016.0 8809472.0 342596.0 8503296.0 84.0 542352.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 542192.0 0.0 0.0 3972.0 7057408.0 416.0 6914476.0 0.0 0.0


Input: 0.5557542 0.01101262 0.008086689 0.004202975 0.014246545 0.00234375 0.0022047777 0.0021446815 0.014122596 0.0010892428 0.0032602164 0.0032151442 0.00859375 0.0032414363 0.0009352464 0.0010742188 0.0055513824 0.002328726 0.0028583233 0.0026179387 0.004353215 0.000792518 0.0008526142 0.00048828125 0.0029447116 0.0011455829 0.0012958234 0.002415114 0.005051833 0.00052959734 0.0028245193 0.0004394531 0.0035982572 0.0005784255 0.00060847355 0.001566256 0.0041316105 0.0017052284 0.000394381 0.0010742188 0.0033015325 0.00075120194 0.0009014423 0.00092397834 0.0018329327 0.0004920373 0.0006159856 0.0016263522 0.002279898 0.0012920673 0.0007587139 0.0013784555 0.002317458 0.001585036 0.0010929988 0.00041316106 0.0021371695 0.0002741887 0.0015211839 0.0003530649 0.002321214 0.0010817308 0.00032677283 0.00026667668 0.018997896 0.0049166167 0.004255559 0.0022573618 0.0034217248 0.0006122296 0.0010742188 0.001156851 0.0031888522 0.00078125 0.00036057693 0.00055588945 0.0024414062 0.0013258714 0.000777494 0.0007061298 0.00234375 0.0002704327 0.0007436899 0.0010817308 0.0026479869 0.00072115386 0.0004319411 0.0005821815 0.0038236177 0.0005070613 0.0002629207 0.0002366286 0.0018442008 0.0007061298 0.0009089543 0.0016301082 0.0025878907 0.0022198018 0.0008563702 0.0009540264 0.0029672475 0.0032602164 0.0017052284 0.0008188101 0.0049053486 0.0015925481 0.00092397834 0.0033278244 0.0094689 0.001141827 0.0023925782 0.0022423377 0.0051645134 0.0012920673 0.0023925782 0.0010854867 0.0060359077 0.0011117789 0.0012469952 0.0004695012 0.004195463 0.0005408654 0.0014460637 0.00010141226 0.0005371094 0.00016902044 0.00013897236 0.0016113281 0.0036320612 0.00024038462 0.0005033053 0.00038686898 0.0008000301 0.000390625 0.00020658053 0.00018780048 0.0010704627 0.001156851 0.001171875 0.0002629207 0.0006047175 0.00021033654 0.0008451022 0.00033428485 0.0006648137 0.0005934495 0.00053335336 0.001138071 0.00091646635 0.0003079928 0.00020282452 0.00012019231 0.0009652945 0.00029672476 0.00041316106 0.00024789665 0.00072115386 0.0001953125 0.00010892428 0.00024414062 0.0006159856 0.0008225661 0.00040940504 0.00010516827 0.0006347656 0.00011268029 0.00016150842 0.00018028847 0.0006159856 0.0004957933 0.00049954926 0.000394381 0.00053335336 0.00075120194 0.00025916466 0.00029296876 0.0012357272 0.0002629207 0.00018028847 0.00032301684 0.00072115386 0.00014272837 0.00024789665 0.00033428485 0.0017427885 0.0013221154 0.001603816 0.00013146034 0.0005371094 0.00013146034 0.00016526443 0.00015024039 0.0020920974 0.00037935696 0.00013521635 0.0010479267 0.0010103666 0.00036057693 0.0008638822 0.0004957933 0.0007361779 0.00014272837 0.00015024039 0.00033804087 0.0007023738 0.00015775241 0.00019906851 0.000394381 0.0012807993 0.00029672476 0.0010441707 0.00019906851 0.00092397834 0.0002704327 0.00020658053 0.0001953125 0.000788762 9.390024e-05 0.00043569712 0.0002366286 0.000777494 0.00012019231 0.00036808895 0.00022160457 0.0021634616 0.001164363 0.00024414062 0.00021409255 0.0016338641 0.00028545674 0.00028170072 0.0017014723 0.0013559195 0.00015024039 0.0007399339 0.0008451022 0.0008526142 0.00021409255 0.00014648438 0.00030423678 0.0009990985 0.00027794472 0.0002704327 0.00076246995 0.005510066 0.0038273737 0.0007399339 0.0003568209 0.0018855168 9.014423e-05 0.0001539964 0.0022010216 0.003872446 0.003579477 0.010460487 0.05026292 0.28957528 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007022578 4.147563e-05 3.959037e-05 2.4508325e-05 4.3360884e-05 1.6967302e-05 6.598395e-05 3.581986e-05 3.0164092e-05 1.8852558e-06 5.6557674e-06 1.1311535e-05 2.4508325e-05 7.541023e-06 1.6967302e-05 0.0003336903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006085606 3.0164092e-05 5.467242e-05 8.295126e-05 0.00011123009 3.581986e-05 0.00016401726 0.00010180381 9.237754e-05 1.8852558e-06 1.8852557e-05 1.6967302e-05 4.901665e-05 1.8852558e-06 4.7131394e-05 0.0008276273 0.009273573 0.00044114987 0.00031860822 8.860702e-05 0.0004298383 0.00010557433 8.483651e-05 7.163972e-05 0.0001790993 0.00014893521 2.4508325e-05 3.3934604e-05 9.426279e-06 9.426279e-06 6.786921e-05 0.00029598517 0.020332484 0.001053858 0.00067492155 0.00034877233 0.00096148043 0.0002771326 0.0006673806 0.0003845922 0.0003072967 0.00018286982 6.221344e-05 6.786921e-05 9.237754e-05 5.6557674e-05 6.221344e-05 0.0014950079 0.018339768 0.0008615619 0.0010312349 0.00042041205 0.0015214015 0.0002639358 0.0009595952 0.00052221585 0.00024508324 0.0005109043 0.00011500061 0.00020360762 0.00030352618 0.00019983712 0.00019795186 0.0013309906 0.017005008 0.0012763182 0.0010067266 0.00053541263 0.0011763996 0.00036008385 0.001643943 0.0011330388 0.0003072967 0.0001790993 0.00020549288 0.0001960666 0.00026959158 0.00018852558 0.000243198 0.0013008266 0.037822 0.0034217392 0.001613779 0.0013969745 0.0036291175 0.001312138 0.0032596074 0.002499849 0.0011971374 0.00047696973 0.00038647745 0.0006617248 0.0006862331 0.0005844293 0.0009218901 0.0057669976 0.09043949 0.009824068 0.0068510193 0.0054408484 0.01039153 0.0054936353 0.011579241 0.00814619 0.0036366584 0.0019361577 0.0016005822 0.0018079603 0.0021265685 0.001408286 0.0026714075 0.025835546 0.11316248 0.015455327 0.010152102 0.008502504 0.018040013 0.009169884 0.018935509 0.012229654 0.0043756785 0.0028505067 0.0028637035 0.0032690335 0.004032562 0.0031389508 0.005778309 0.04217506 0.0185019 0.0026506695 0.0017136976 0.0018381244 0.0062100324 0.0012706624 0.003302968 0.0020304206 0.001053858 0.0008559061 0.00096902146 0.0015232867 0.0010519727 0.00095016893 0.001312138 0.0049582226 0.0068868394 0.001540254 0.0006994299 0.0007861517 0.004452974 0.00049205177 0.00079557794 0.00046188766 0.00059574086 0.00055237993 0.00065418374 0.0014648438 0.0005844293 0.00093508686 0.0010086119 0.0012555803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 564.0 10.955674 6179.0 0.0067972164 0.00064735394 0.00016183848 0.0017802233 0.00048551545 0.00016183848 0.0025894158 0.0 0.01391811 0.0 0.00016183848 0.0 0.00048551545 0.0 0.005664347 0.00064735394 0.005664347 0.0027512542 0.0030749312 0.0022657388 0.00016183848 0.00064735394 0.0019420618 0.00016183848 0.00016183848 0.00064735394 0.0009710309 0.00016183848 0.0 0.0 0.0 0.0 0.0 0.010843178 0.023790257 0.031396665 0.030749312 0.0071208933 0.009872148 0.03398608 0.0027512542 0.013594433 0.00016183848 0.0040459624 0.011005017 0.01812591 0.0074445703 0.0100339865 0.011166856 0.00064735394 0.0077682473 0.030425636 0.0106813405 0.0025894158 0.006311701 0.0038841236 0.022171872 0.00048551545 0.0 0.00032367697 0.0038841236 0.0 0.00016183848 0.03430976 0.00016183848 0.044181906 0.009386633 0.01925878 0.023142904 0.09143874 0.0045314776 0.014079948 0.0043696393 0.030749312 0.00048551545 0.0045314776 0.031558506 0.02557048 0.04677132 0.048389707 0.0106813405 0.00048551545 0.04353455 0.023790257 0.06619194 0.01909694 0.005664347 0.0050169933 0.014727302 0.0077682473 0.0016183848 0.0 0.0 0.0 0.00048551545 0.00048551545 5.320354 6.0 0.0 0.0 1.0 266240.0 208896.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1196420700.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 184320.0 4096.0 4096.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -184320.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.298088 0.0 3.0209177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -182092.0 0.0 2280.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 185668.0 2280.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 544.0 320.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.057046745 0.004443042 0.0036598044 0.004451494 0.0038034918 0.004057058 0.0039274576 0.0041443976 0.0051417574 0.0038485704 0.0046402602 0.0037584135 0.0043923287 0.003882379 0.003600639 0.004119041 0.0037217874 0.0032738205 0.0033696122 0.0036231782 0.0035752824 0.003868292 0.003600639 0.0034992124 0.0036626218 0.0036513521 0.0035104821 0.0036231782 0.003628813 0.0037725004 0.003761231 0.0037302393 0.0034597688 0.0033780644 0.0034428644 0.0032653683 0.0036823435 0.0035076647 0.003411873 0.0034823082 0.0035358388 0.0034710385 0.0034597688 0.004057058 0.0035921868 0.0035076647 0.003600639 0.0036203607 0.003417508 0.0035527432 0.0034428644 0.003958449 0.0037499613 0.0033667947 0.0034794908 0.00350203 0.003327351 0.0035752824 0.0037020654 0.0038034918 0.0035217518 0.0036090913 0.0036119085 0.0036090913 0.0042063803 0.0034710385 0.0035132996 0.0038485704 0.003271003 0.004730417 0.003980988 0.0036034563 0.0034372297 0.0033470728 0.0033188988 0.0035414735 0.0035161169 0.0037527787 0.0037443265 0.0035921868 0.0042007454 0.003524569 0.003417508 0.003775318 0.0038485704 0.0037443265 0.0038936487 0.0037809527 0.003558378 0.0039978926 0.0039922576 0.0037302393 0.0035161169 0.0039415443 0.0039978926 0.0041077714 0.0036344477 0.0037668657 0.0035273866 0.0036879785 0.003417508 0.0038063093 0.0038654746 0.0034823082 0.003882379 0.003797857 0.0041049537 0.0037105177 0.0034794908 0.003797857 0.0036231782 0.0039049184 0.0034484994 0.003355525 0.0036203607 0.0036457174 0.004482486 0.004428955 0.0038739268 0.003473856 0.0036400827 0.0034428644 0.0035161169 0.003487943 0.003817579 0.0038006746 0.0036936132 0.003741509 0.0036203607 0.0035273866 0.0031836636 0.0044881203 0.0034569516 0.004169754 0.0034090558 0.003600639 0.0034710385 0.004758591 0.0034372297 0.005823569 0.00328509 0.004045788 0.0034851255 0.0036090913 0.003304812 0.0033865166 0.0034034208 0.003487943 0.0034513166 0.0035921868 0.0035189344 0.0034034208 0.0035414735 0.0037302393 0.003671074 0.0036372652 0.0035273866 0.0034625863 0.0035752824 0.0037161524 0.0035837346 0.004490938 0.003397786 0.0034203252 0.00336116 0.003614726 0.0034372297 0.0035921868 0.0033893338 0.0033639772 0.003271003 0.0035752824 0.0035499258 0.0036795263 0.0033386208 0.0038626574 0.0034259602 0.003524569 0.003290725 0.0035527432 0.003741509 0.0035640127 0.0037246046 0.003524569 0.0034513166 0.003595004 0.0035048474 0.0035668302 0.0037865874 0.0034400471 0.0035978216 0.0037471438 0.0041077714 0.003831666 0.003468221 0.0038147615 0.0036879785 0.0034766733 0.0033808816 0.0036795263 0.0034062383 0.0034766733 0.0034456819 0.0036344477 0.0036598044 0.0035104821 0.0032653683 0.0037302393 0.0037922224 0.0034146905 0.0036259957 0.0038401182 0.0035978216 0.0036175435 0.0035048474 0.0039471793 0.0036485349 0.0034146905 0.0036767088 0.0036203607 0.0034400471 0.0036175435 0.0035330213 0.0036936132 0.0036457174 0.0035273866 0.0036457174 0.0036175435 0.0037189699 0.0036738915 0.0036598044 0.0036598044 0.004654347 0.0037781352 0.0036203607 0.0040739626 0.0039950754 0.0036907957 0.0035893694 0.0033639772 0.0042063803 0.003355525 0.003530204 0.0035837346 0.0037302393 0.0035161169 0.0036400827 0.003831666 0.0041641193 0.0041725715 0.0035921868 0.0036879785 0.0044205026 0.0038851965 0.0034963952 0.006606806 0.014492754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0055154553 2.830616e-05 9.907156e-06 1.8399003e-05 8.491847e-06 5.802763e-05 1.1322464e-05 1.415308e-05 1.1322464e-05 7.07654e-06 2.830616e-06 7.07654e-06 8.491847e-06 2.830616e-06 1.2737772e-05 8.067255e-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 0.0076978602 8.77491e-05 8.067255e-05 4.245924e-05 7.5011325e-05 0.00024201766 0.00015285326 7.359601e-05 3.396739e-05 1.6983695e-05 1.9814312e-05 2.5475543e-05 5.3781703e-05 2.2644928e-05 1.9814312e-05 5.0951086e-05 0.009699105 8.6333785e-05 0.00012737772 8.208786e-05 0.00019955842 0.0003028759 0.00050951086 0.00030712184 5.802763e-05 2.9721466e-05 3.2552085e-05 2.830616e-05 3.5382698e-05 2.830616e-05 3.396739e-05 3.396739e-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 0.004352072 4.5289857e-05 9.4825635e-05 0.0001783288 6.227355e-05 0.00011605526 0.00029862998 0.00013870018 4.387455e-05 0.00015426856 1.8399003e-05 8.491847e-06 0.0001585145 1.415308e-05 1.6983695e-05 9.624094e-05 0.0058013476 0.00010048687 4.245924e-05 9.199502e-05 0.00021371151 0.00028589222 0.00040477808 0.00028589222 0.00022078805 4.245924e-05 0.00039911683 3.396739e-05 8.491848e-05 4.5289857e-05 0.00016842165 0.00047412817 0.001879529 5.3781703e-05 1.5568388e-05 3.5382698e-05 9.199502e-05 0.00014860733 4.9535778e-05 7.218071e-05 0.0001245471 8.491847e-06 2.2644928e-05 4.387455e-05 5.0951086e-05 2.122962e-05 8.067255e-05 0.00019955842 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027442821 0.00010897871 9.9071556e-05 0.0002490942 7.784194e-05 0.00011322464 0.00023918705 0.00012030118 0.00019814311 0.00024626357 0.0004599751 9.765625e-05 0.00027315444 8.491848e-05 0.00019814311 0.00048686593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005591882 0.00092844205 0.0007854959 0.0008307858 0.0023380888 0.0017960258 0.00048828125 0.0013855865 0.0033019134 0.00011605526 0.00014294611 0.00021937274 0.0011817821 0.00037930254 0.0011732903 0.0025291552 0.0030896172 0.00077275815 0.000615659 0.0006963315 0.001470505 0.0019078351 0.00048686593 0.0011662138 0.0025022645 0.00010190217 0.000114639945 0.00015002265 0.0010699729 0.00036090353 0.00082512456 0.0020606883 0.05635898 0.05574615 0.054656364 0.055153135 0.05445539 0.05618065 0.05679206 0.055949956 0.055062555 0.05581833 0.055829655 0.056571275 0.05479365 0.05718269 0.057552084 0.057549253 1597.0 5.9467754 9497.0 0.011056123 0.008844898 0.008634306 0.009160788 0.010319049 0.009266084 0.009581973 0.011477308 0.00937138 0.010003159 0.010634937 0.009160788 0.00937138 0.00937138 0.01116142 0.00821312 0.009897863 0.010424345 0.008950194 0.008844898 0.00968727 0.008844898 0.00968727 0.008634306 0.010108455 0.009581973 0.012214383 0.008002527 0.00821312 0.009581973 0.010003159 0.009160788 0.009476677 0.011372012 0.00968727 0.00968727 0.008634306 0.010740234 0.00968727 0.01084553 0.008423713 0.008634306 0.009476677 0.011372012 0.010108455 0.008529009 0.008002527 0.010319049 0.011056123 0.011266716 0.010213751 0.010740234 0.009897863 0.00968727 0.010213751 0.011266716 0.00968727 0.008950194 0.009581973 0.009792566 0.009266084 0.010319049 0.009581973 0.010003159 0.009897863 0.013899126 0.011056123 0.011372012 0.012740865 0.021164577 0.011477308 0.01084553 0.012951459 0.015057387 0.010424345 0.010108455 0.012424977 0.012214383 0.012846162 0.015162683 0.008318417 0.009055492 0.015689164 0.014846793 0.016320944 0.010319049 0.01084553 0.009160788 0.011056123 0.00968727 0.008423713 0.008950194 0.010740234 0.009897863 0.00937138 0.00968727 6.5612946 0.0 0.0 0.0 3.0 354937.0 36864.0 0.0 0.0 35.0 0.0 1.0 0.0 0.0 0.0 1042738900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 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 4.2164526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3265426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4978566 0.0 3.9129372 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1542.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15022.0 0.0 2400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 21212.0 2400.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.20921494 0.0069207316 0.0046493905 0.004717988 0.0065625 0.003742378 0.0032469511 0.004710366 0.004847561 0.0032926828 0.002835366 0.0021570122 0.0046493905 0.0030335365 0.0024085366 0.004519817 0.0050762193 0.0034527439 0.0025152438 0.0022789633 0.004047256 0.0029115854 0.0019664634 0.0024542683 0.0045579267 0.004245427 0.0028734757 0.0039786585 0.0064557926 0.0037652438 0.0024542683 0.0021112806 0.0039710365 0.0025228658 0.0021570122 0.002644817 0.013772866 0.004512195 0.0041234754 0.004260671 0.004710366 0.003445122 0.0039786585 0.0037728657 0.0026067074 0.0029954268 0.0021493903 0.0019893292 0.0048856707 0.0032317073 0.0032850609 0.0046798782 0.003132622 0.0028658537 0.0034679878 0.0028125 0.0035137194 0.0025304877 0.0031478659 0.0033231708 0.0035213414 0.0025533536 0.0024085366 0.0066692075 0.012012195 0.0026295732 0.002035061 0.0020884147 0.0062118904 0.0027515243 0.0022256097 0.0022484756 0.0028734757 0.0022179878 0.0016387195 0.0035213414 0.004954268 0.0027439024 0.0050228657 0.0024161586 0.005579268 0.0031859756 0.0031631098 0.0028582318 0.0032850609 0.0030640245 0.0033689025 0.0033536586 0.0031935975 0.0020045731 0.0018902438 0.0026371952 0.0026829268 0.002484756 0.0029039634 0.0025838416 0.002644817 0.002202744 0.0019969512 0.002012195 0.0029801829 0.0029115854 0.002789634 0.0019512195 0.0054192073 0.0024695122 0.0037042683 0.0018445122 0.0030259145 0.0019817073 0.0024466463 0.0020045731 0.0034375 0.0017454268 0.002667683 0.002675305 0.005213415 0.003429878 0.002202744 0.004512195 0.002782012 0.0017987805 0.0015396342 0.0022103658 0.0031631098 0.0019817073 0.0021189025 0.0021341464 0.00808689 0.0030182926 0.0022713414 0.006532012 0.005670732 0.006859756 0.002370427 0.0025914635 0.0038871951 0.0062271343 0.002820122 0.010068597 0.0033155489 0.006417683 0.0019131098 0.0018368902 0.0035137194 0.0017987805 0.0017987805 0.002027439 0.002477134 0.0018216464 0.0018216464 0.001722561 0.0020426828 0.0027667682 0.0016920732 0.0016463414 0.0022256097 0.0017682926 0.001722561 0.0018368902 0.0021875 0.002309451 0.0019207317 0.0036814024 0.0041158535 0.0019512195 0.0019283537 0.0019588415 0.0019131098 0.001570122 0.0016615854 0.001714939 0.0020960367 0.0017378049 0.002035061 0.0019207317 0.0025304877 0.0016463414 0.0019054879 0.0017454268 0.0024085366 0.0018445122 0.0023856708 0.0019283537 0.002835366 0.0022256097 0.0020731706 0.0018597561 0.0021036586 0.001875 0.0018521341 0.0019740853 0.0053658537 0.0028887196 0.003269817 0.0032240853 0.003932927 0.0019740853 0.0032088414 0.0032164634 0.0022789633 0.0026143293 0.0019283537 0.0018521341 0.0072484757 0.0019435976 0.002317073 0.0025685977 0.00472561 0.004992378 0.0021722561 0.0024237805 0.0017987805 0.0018140244 0.0021341464 0.0019664634 0.0026829268 0.0019969512 0.0018445122 0.0018216464 0.0018978659 0.0017301829 0.0017987805 0.0017987805 0.0023780488 0.0024695122 0.0021722561 0.0018216464 0.0023018292 0.0019435976 0.0017454268 0.0016539635 0.006737805 0.0022408536 0.0019512195 0.0030487804 0.0024085366 0.002035061 0.0019207317 0.0018902438 0.0028582318 0.0022408536 0.002035061 0.0020045731 0.0021417683 0.0018445122 0.0030945123 0.002347561 0.003254573 0.0019969512 0.0019664634 0.002012195 0.0024542683 0.002027439 0.007865854 0.021112805 0.03923936 0.0 3.8447342e-06 0.0 1.9223671e-05 1.5378937e-05 3.8447342e-06 3.8447342e-06 7.6894685e-06 3.8447342e-06 7.6894685e-06 7.6894685e-06 1.1534203e-05 3.8447342e-06 1.1534203e-05 3.0757874e-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 0.0073703555 8.073942e-05 1.5378937e-05 1.5378937e-05 1.1534203e-05 1.5378937e-05 1.9223671e-05 2.3068405e-05 0.00020761565 1.5378937e-05 1.9223671e-05 1.5378937e-05 1.5378937e-05 1.1534203e-05 1.1534203e-05 2.691314e-05 0.013879491 0.00016147883 0.00023837353 1.5378937e-05 0.00028835508 6.920522e-05 0.00019608144 0.00016916831 0.00011534203 9.9963094e-05 3.0757874e-05 0.000103807826 4.229208e-05 3.460261e-05 2.3068405e-05 0.0002806656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029696727 0.0011226624 0.005336491 0.00043061023 0.001649391 0.00035371556 0.0008073942 0.0011495756 0.0021953431 0.00031142347 0.00014994464 0.0003575603 0.00018839198 0.0003960076 0.00031142347 0.0027874324 0.0053634043 0.004559855 0.00021530512 0.0026105745 8.073942e-05 9.9963094e-05 0.00016147883 6.920522e-05 4.613681e-05 6.920522e-05 4.613681e-05 8.073942e-05 4.229208e-05 0.00041907604 0.00011149729 0.0017724225 0.016001783 0.004525252 0.0055364175 0.002502922 0.0005728654 0.0011534203 0.00071127585 0.00056517596 0.0011611098 0.00026528665 0.00086890993 0.00018070251 0.00086122047 0.00023837353 0.0005574865 0.0036678766 0.017135981 0.0007304995 0.0056632934 0.0033333846 0.00159172 0.00063438114 0.0006920522 0.00040754184 0.0016724594 0.0002575972 0.00048443652 0.00038447342 0.0011995571 0.001287986 0.00066898373 0.0032257321 0.04323019 0.0059554935 0.0028758612 0.0018992987 0.0071089137 0.0025682824 0.0031488372 0.004040816 0.0087890625 0.0011111283 0.001953125 0.0013264333 0.0011918676 0.0031180794 0.0015724963 0.0045983023 0.0027259167 0.002502922 0.0021645853 0.008485328 0.0006920522 0.0010111651 0.00084584154 0.0017378199 0.000680518 0.00058824435 0.002345288 0.00069974165 0.0005690207 0.0027412956 0.0005075049 0.003198819 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04088106 0.006424551 0.010580708 0.006482222 0.010330801 0.008858268 0.005136565 0.006043922 0.01908526 0.0026221087 0.0021799642 0.0031795953 0.010334645 0.0026413323 0.0058978223 0.008927473 0.025309885 0.0044214446 0.006812869 0.0060708355 0.008727547 0.007927842 0.0038370448 0.004759781 0.013464259 0.0025490588 0.002053088 0.0021799642 0.009208138 0.002053088 0.004171537 0.0066898377 0.026155727 0.025056133 0.02453325 0.024537094 0.026809331 0.025717428 0.026697835 0.02472933 0.02710922 0.025052289 0.024836984 0.024936946 0.026567115 0.024960015 0.025190698 0.026559424 493.0 8.827586 4352.0 0.014705882 0.011259191 0.006204044 0.0052849264 0.02389706 0.008501838 0.008731618 0.005744485 0.010110294 0.0029871324 0.0045955884 0.0029871324 0.009420956 0.0071231616 0.0071231616 0.008961397 0.020909926 0.014705882 0.014476103 0.014476103 0.01608456 0.01608456 0.01585478 0.016314339 0.020680146 0.012178309 0.01907169 0.01171875 0.014476103 0.006663603 0.01148897 0.005974265 0.010110294 0.014246323 0.0045955884 0.005974265 0.03216912 0.0045955884 0.0052849264 0.01585478 0.01194853 0.014016544 0.0025275736 0.00390625 0.013327206 0.005744485 0.012408088 0.0036764706 0.021829044 0.008501838 0.010569853 0.008731618 0.013097427 0.0071231616 0.00804228 0.006663603 0.017693015 0.005514706 0.0036764706 0.005744485 0.009191177 0.005744485 0.005055147 0.006663603 0.006663603 0.01148897 0.0068933824 0.009420956 0.01539522 0.01953125 0.004365809 0.0078125 0.014476103 0.007352941 0.009880515 0.005514706 0.01539522 0.005974265 0.006663603 0.009420956 0.018612131 0.0045955884 0.011259191 0.008961397 0.01930147 0.0034466912 0.0048253676 0.056525737 0.00804228 0.0032169118 0.00390625 0.005974265 0.009420956 0.0013786765 0.005514706 0.005744485 6.310628 2.0 0.0 0.0 2.0 131200.0 131072.0 1.0 0.0 25.0 1.0 1.0 0.0 0.0 3.0 1405835500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 1.0 38144.0 4096.0 4352.0 6.0 0.0 0.0 2.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 -4096.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8226953 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1231427 -7.462 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.476688 -5.144722 7.6700835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3448.0 -3096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32770.0 -2728.0 69336.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 -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 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 -1.0 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 -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 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 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 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 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 2.0 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 -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 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 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 -1.0 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 -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 2.0 -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 -1.0 -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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 53248.0 69336.0 57344.0 0.0 0.0 0.0 0.0 3108.0 126976.0 28.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1108.0 54476.0 0.0 0.0 0.0 0.0


Input: 0.030155461 0.0049556806 0.0068130335 0.003931372 0.004123383 0.003673614 0.003649706 0.0037834414 0.0043228655 0.003823786 0.0037348783 0.0034786144 0.004049418 0.0036706254 0.003691545 0.0040583834 0.003769993 0.0037438436 0.0037856826 0.0037378666 0.0038723492 0.0040949923 0.0034935568 0.0034928096 0.0039022341 0.003548844 0.0035914301 0.0036646484 0.0038379815 0.0038551653 0.0038865446 0.0036160853 0.004230222 0.0034195913 0.0036758552 0.0037535564 0.0041726935 0.003769993 0.006075621 0.0038073494 0.0035824648 0.003745338 0.0038857975 0.0037236714 0.0036340163 0.0035219477 0.0036512 0.0034659132 0.0038125792 0.0038708549 0.0037303953 0.0038432113 0.0035660279 0.0035742463 0.0037789585 0.0033725225 0.0040001078 0.0034016604 0.0038962571 0.0037408553 0.003894763 0.003888039 0.003739361 0.003488327 0.0044297045 0.003954533 0.0034659132 0.0035391315 0.0037543033 0.0044894745 0.0037894184 0.0037953954 0.003942579 0.004038211 0.0037423493 0.0035876946 0.0038282687 0.0043086703 0.0037072345 0.0039634984 0.004100222 0.0040964866 0.004207061 0.0037841885 0.0038671193 0.0045178654 0.0037102231 0.0042735552 0.0037371195 0.0036287864 0.0035764878 0.0035025224 0.0035697636 0.003554821 0.0035929244 0.0035675222 0.0037528093 0.0039776936 0.00366166 0.003876085 0.003859648 0.0041906247 0.0037953954 0.0037064874 0.0039276364 0.004104705 0.003991142 0.0034935568 0.0040083257 0.003745338 0.0037834414 0.0039052228 0.0039037284 0.0036609129 0.0036639012 0.0037722345 0.004278785 0.004043441 0.0036982691 0.003435281 0.0037311425 0.0040053376 0.004044935 0.00390074 0.0035615452 0.0038028667 0.003548844 0.0034509706 0.0038215446 0.0037162001 0.0036056256 0.00432436 0.0035593037 0.004145797 0.0035989014 0.0036549359 0.0036870623 0.004587348 0.0036078668 0.0055817715 0.003829016 0.004079303 0.0038798205 0.0037729815 0.003589189 0.003681085 0.0038992458 0.0036003958 0.0036728668 0.0039276364 0.0036534416 0.0034390166 0.0037057402 0.0037079817 0.0035570625 0.0035749935 0.0036168324 0.003524936 0.004350509 0.0036168324 0.0035286716 0.0036489589 0.0037423493 0.0036952805 0.0037953954 0.0037856826 0.0036818322 0.0038320045 0.0038185562 0.0037483263 0.0037132115 0.0037804528 0.0037087288 0.0035503383 0.0036220623 0.0041084406 0.0035981543 0.003691545 0.0035779818 0.003649706 0.0036310279 0.0035204533 0.00366166 0.0037259127 0.0036235566 0.0038678665 0.0035637866 0.0034083845 0.0034494763 0.0038320045 0.0034748786 0.0034913155 0.0038574068 0.0035622923 0.003637752 0.0038305102 0.0038379815 0.0035376372 0.003512982 0.0040897625 0.00347712 0.0035234417 0.003633269 0.003495051 0.004312406 0.0034838442 0.0035398786 0.0036803382 0.0035764878 0.003638499 0.003918671 0.0038349929 0.003829763 0.0038574068 0.0035630395 0.003512235 0.0036093611 0.0037677516 0.003613097 0.0036541887 0.0035854531 0.0035473497 0.003441258 0.0035204533 0.003584706 0.0039111995 0.0036997632 0.0037916596 0.0034248212 0.0036624072 0.003530913 0.0036093611 0.004284015 0.0039889007 0.0044110264 0.0037826942 0.0037244183 0.0034860855 0.003655683 0.0034068902 0.0037064874 0.0036048784 0.0035025224 0.0036743612 0.0038566596 0.0042347047 0.0034360283 0.0036482117 0.0037468323 0.003626545 0.0037684988 0.0034838442 0.0038850503 0.003632522 0.003595166 0.007634871 0.005358382 0.0 7.477508e-07 0.0 0.0 0.0 0.0 0.0 7.477508e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007011659 1.08423865e-05 0.0021120221 9.346884e-06 4.112629e-06 8.225258e-06 4.112629e-06 2.9910032e-06 2.2432523e-06 2.2432523e-06 2.9910032e-06 2.6171276e-06 5.2342552e-06 3.3648785e-06 4.86038e-06 1.4955016e-06 0.000579133 5.2342552e-06 0.00014468978 2.9910032e-06 4.112629e-06 2.2432523e-06 3.3648785e-06 3.7387538e-06 1.4955016e-06 2.2432523e-06 1.8693769e-06 1.4955016e-06 4.4865046e-06 2.9910032e-06 2.2432523e-06 3.3648785e-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 0.002880336 3.1031657e-05 0.00016375742 5.757681e-05 7.58967e-05 8.636522e-05 0.000120013996 7.926158e-05 7.066245e-05 1.458114e-05 1.5702766e-05 1.4207265e-05 2.7292903e-05 2.3180273e-05 2.3180273e-05 0.00014543753 0.0024922532 2.018927e-05 0.00035630324 5.7950685e-05 9.234722e-05 4.935155e-05 0.00097319763 0.00043369544 2.2058648e-05 1.8693769e-06 3.7387538e-06 1.8693769e-06 4.4865046e-06 2.6171276e-06 3.7387538e-06 7.851383e-05 0.0017946018 1.8693769e-05 0.00018581607 5.757681e-05 8.636522e-05 0.000107302236 0.0004310783 0.00022282972 2.916228e-05 1.0094635e-05 1.2337888e-05 1.0094635e-05 1.7198268e-05 1.0094635e-05 1.3833389e-05 5.570743e-05 0.0015699028 2.1684773e-05 0.0001031896 6.0193935e-05 0.0003521906 0.0002751723 0.0008352376 0.00043294768 2.0937021e-05 2.1310896e-05 2.2432523e-05 2.3554148e-05 1.7572143e-05 2.2058648e-05 1.944152e-05 3.0657782e-05 0.0011324686 6.393269e-05 5.570743e-05 5.084705e-05 8.225258e-05 7.215795e-05 0.00017833855 9.6833726e-05 5.00993e-05 1.4207265e-05 2.4675775e-05 1.5328891e-05 3.2527158e-05 0.00013908165 9.309497e-05 0.00019553682 0.0015082133 0.00015740153 0.00016600067 0.00015964478 0.00022955949 0.00016973942 0.00031368143 0.00020077109 0.00011178874 6.879307e-05 4.7482175e-05 3.7761412e-05 5.3838055e-05 8.599134e-05 8.4495834e-05 0.00043332158 0.0012693069 0.000115527495 0.0002766678 0.00015590603 0.0001502979 0.00019553682 0.00028489303 0.00018731157 0.00020002334 9.272109e-05 5.7950685e-05 6.2811065e-05 8.150483e-05 7.664445e-05 0.00013235188 0.000489029 0.0053722155 0.00092534156 0.00034508697 0.00042733958 0.0019957467 0.0015998128 0.0009384272 0.0011178874 0.0041571204 0.00044453784 0.00030807333 0.00050323625 0.0014125012 0.0007570977 0.0014644698 0.0042647966 0.0022615723 0.00095113897 0.0005922186 0.00062848453 0.0010962026 0.0008285078 0.00049725425 0.0005215562 0.001127982 0.0002261946 0.00028451916 0.00026208663 0.00048603798 0.00037013664 0.0004916461 0.00085991336 0.058450557 0.057587277 0.057627656 0.05793947 0.058180243 0.057912923 0.057208914 0.05721901 0.05768299 0.05822137 0.058991928 0.056854106 0.05688888 0.05699618 0.057640366 0.056497056 6307.0 6.034248 38058.0 0.009722004 0.009511798 0.010221241 0.009695727 0.010878134 0.010720479 0.009932209 0.009012559 0.008303116 0.01016869 0.010773031 0.009564349 0.009038836 0.008960009 0.009669452 0.008854906 0.010300068 0.010720479 0.010720479 0.010300068 0.008907457 0.009932209 0.010011036 0.00846077 0.011035788 0.008776079 0.009485522 0.009564349 0.010746755 0.0104577225 0.009222765 0.008749803 0.010037311 0.010483998 0.008565873 0.0105891 0.011850334 0.0105891 0.01132482 0.011377371 0.009958484 0.011429923 0.009905933 0.0096169 0.011088339 0.010773031 0.009275316 0.012638604 0.011403647 0.009748279 0.010326344 0.011535025 0.010142414 0.010641652 0.010983236 0.012796259 0.009564349 0.0101161385 0.00938042 0.009196489 0.009143938 0.0086447 0.0088811815 0.009275316 0.009722004 0.013847286 0.010037311 0.011929161 0.011718955 0.020100899 0.009958484 0.010221241 0.009695727 0.015292448 0.008854906 0.010089863 0.014583005 0.010773031 0.013190393 0.012848809 0.009695727 0.009222765 0.012980188 0.012743707 0.015423827 0.011009512 0.009932209 0.010378895 0.009932209 0.009564349 0.008854906 0.008513322 0.008960009 0.009511798 0.008513322 0.0081980135 6.5664587 0.0 0.0 0.0 14.0 1338464.0 3895296.0 1.0 0.0 173.0 0.0 1.0 0.0 0.0 0.0 1492587400.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 45568.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 5.246465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5725546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1428027 0.0 4.308449 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 5275.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3735964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45449.0 0.0 10048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 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 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 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 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 -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 -2.0 -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 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 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 1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 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 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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 54484.0 10048.0 3883008.0 0.0 0.0 15520.0 1338992.0 0.0 0.0 28.0 53984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 724.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.47648737 0.0120943505 0.0034555288 0.0017277644 0.0038311298 0.0037560095 0.0022536058 0.0012019231 0.0030048077 0.0012019231 0.0016526442 0.00067608175 0.0008263221 0.002328726 0.00067608175 0.002779447 0.006310096 0.0016526442 0.00067608175 0.0016526442 0.0014272836 0.0038311298 0.0012019231 0.0009014423 0.0037560095 0.001953125 0.0008263221 0.0010516827 0.0009014423 0.0013521635 0.0016526442 0.0014272836 0.008864183 0.0008263221 0.00067608175 0.0009014423 0.0122445915 0.0014272836 0.00045072116 0.00030048078 0.002328726 0.00015024039 0.00037560097 0.00075120194 0.00030048078 0.0052584135 0.0051832935 0.0009014423 0.006234976 0.0036057692 0.0022536058 0.0036057692 0.0010516827 0.00045072116 0.0016526442 0.002328726 0.0029296875 0.0011268029 0.00060096156 0.0021784855 0.0021784855 0.0022536058 0.0009765625 0.0005258414 0.0048076925 0.0028545673 0.0009014423 0.0033052885 0.003155048 0.005483774 0.001577524 0.0009765625 0.028094951 0.00398137 0.00015024039 7.5120195e-05 0.0064603365 0.0034555288 0.0009765625 0.001577524 0.0036808895 0.00030048078 0.0016526442 0.003155048 0.0026292067 0.0021784855 0.0011268029 0.0005258414 0.0015024039 7.5120195e-05 0.00037560097 0.00045072116 0.0018028846 0.0009014423 0.00022536058 0.0018780048 0.001577524 0.008413462 0.0008263221 0.0045823315 0.0060847355 0.0119441105 0.0021784855 0.0012770433 0.0022536058 0.0099909855 0.00030048078 0.00067608175 0.007436899 0.0030048077 0.0067608175 0.0078125 0.005483774 0.0 0.0093900245 0.007436899 0.0138972355 0.0033052885 0.0008263221 0.0015024039 0.0033052885 0.0011268029 0.00037560097 0.0 0.00030048078 0.00022536058 0.00015024039 0.00037560097 0.0032301683 0.00060096156 0.00045072116 0.0057091345 0.0014272836 0.0053335335 0.00022536058 0.00022536058 0.0011268029 0.0093900245 0.00022536058 0.01953125 0.0008263221 0.003530649 0.0012019231 7.5120195e-05 0.0009014423 7.5120195e-05 7.5120195e-05 0.00030048078 0.00037560097 0.0014272836 0.0 0.00015024039 0.00067608175 0.00037560097 0.00022536058 7.5120195e-05 0.0015024039 0.0005258414 7.5120195e-05 7.5120195e-05 0.001577524 7.5120195e-05 0.00060096156 0.00015024039 0.00030048078 0.0 0.00015024039 7.5120195e-05 0.0005258414 0.00015024039 0.00015024039 0.00015024039 0.00037560097 0.0 0.00037560097 0.0 0.0012770433 0.00015024039 7.5120195e-05 7.5120195e-05 0.00067608175 0.00015024039 0.00015024039 0.00030048078 0.003079928 0.00075120194 0.00045072116 0.00030048078 0.0008263221 0.00022536058 0.0005258414 0.0 0.0056340145 0.0012770433 0.0005258414 0.0030048077 0.002328726 0.00022536058 0.0012019231 0.001577524 0.0013521635 0.0017277644 0.00060096156 0.00022536058 0.03185096 0.0008263221 0.00067608175 0.00037560097 0.0012770433 0.00030048078 0.0009014423 0.0010516827 0.00037560097 0.00015024039 0.00030048078 0.00030048078 0.00067608175 0.00045072116 0.0005258414 0.0011268029 0.00015024039 7.5120195e-05 0.00015024039 0.00030048078 0.0017277644 0.00022536058 7.5120195e-05 0.00015024039 0.00022536058 0.00037560097 0.0005258414 0.0 0.0024789663 0.0005258414 0.00075120194 0.002779447 0.0024789663 0.00037560097 0.00015024039 0.00030048078 0.0011268029 0.00022536058 0.00037560097 0.00015024039 0.00015024039 0.00030048078 0.0005258414 0.00045072116 0.0009014423 0.00045072116 0.00067608175 0.00015024039 0.0005258414 0.00015024039 0.00060096156 0.008413462 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18509929 0.0052490234 0.0072428384 0.008056641 0.0056152344 0.0035807292 0.01965332 0.008707683 0.0014241537 0.00044759116 0.0015055338 0.0005289714 0.0008544922 0.00048828125 0.00024414062 0.0013020834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09810384 0.0023600261 0.0065104165 0.0068359375 0.0056966147 0.0043538413 0.021809896 0.011271159 0.0031738281 0.00081380206 0.00056966144 0.00044759116 0.0022379558 0.0005289714 0.0009358724 0.0010172526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11779785 0.0094401045 0.00789388 0.010579427 0.017618814 0.00789388 0.03112793 0.018920898 0.009969075 0.0018310547 0.0012613932 0.0014241537 0.006917318 0.0012613932 0.0032145183 0.0028483074 0.03621419 0.002766927 0.0040283203 0.0016276041 0.008504231 0.0010579427 0.0022379558 0.0025634766 0.007405599 0.0012207031 8.138021e-05 0.001546224 0.010986328 0.0011393229 0.0010986328 0.0008544922 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.055908203 0.012207031 0.017211914 0.009195964 0.03479004 0.006713867 0.0037434895 0.008951823 0.03397624 0.0018717448 0.0010579427 0.004638672 0.036376953 0.0048828125 0.008422852 0.010050456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 111.0 14.657658 1627.0 0.009219422 0.00061462814 0.0 0.0 0.021511985 0.0 0.0 0.0 0.00061462814 0.0 0.0 0.0 0.0 0.038721573 0.03257529 0.0 0.00983405 0.011677935 0.0030731407 0.004302397 0.0012292563 0.0012292563 0.0012292563 0.00061462814 0.00061462814 0.0 0.0 0.0 0.0012292563 0.003687769 0.0 0.0 0.0030731407 0.013521819 0.0 0.0196681 0.0061462815 0.017209588 0.003687769 0.003687769 0.007375538 0.007990166 0.0 0.0 0.004302397 0.008604794 0.0018438845 0.0055316533 0.0055316533 0.00061462814 0.0067609097 0.014751076 0.009219422 0.0030731407 0.0030731407 0.0012292563 0.004302397 0.0 0.0012292563 0.0 0.0030731407 0.0 0.00061462814 0.0067609097 0.00061462814 0.057775047 0.004302397 0.031346034 0.041180085 0.07559926 0.007990166 0.004302397 0.0061462815 0.063921325 0.0 0.0024585126 0.047940996 0.019053472 0.041794714 0.049170252 0.027043639 0.0 0.054087278 0.04609711 0.06637984 0.009219422 0.0018438845 0.007990166 0.01659496 0.0067609097 0.0030731407 0.0 0.0 0.0 0.0 0.0024585126 5.1528873 0.0 0.0 0.0 2.0 13312.0 36864.0 1.0 13.0 22.0 1.0 1.0 0.0 0.0 0.0 818284100.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 15.0 10.0 0.0 10.0 0.0 4608.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 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 -3.0030558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.48095 0.0 0.0 0.0 0.0 3.6586287 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.33593127 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.764697 0.0 2.0450299 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3944.0 0.0 0.0 0.0 0.0 372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1500.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4384.0 0.0 1288.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 604.0 14352.0 220.0 14956.0 1304.0 28672.0 372.0 20480.0 0.0 0.0 40.0 32768.0 84.0 13104.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 12304.0 0.0 0.0 256.0 12568.0 64.0 14220.0 0.0 0.0