Input: 0.056647457 0.008298455 0.0061715744 0.0056592603 0.005761723 0.004955475 0.004198906 0.0054170755 0.0050496585 0.005629246 0.0037559357 0.0044742106 0.004957545 0.003169103 0.004314824 0.004641877 0.005034134 0.0037704252 0.004932706 0.004158542 0.004357258 0.0031722079 0.0041057584 0.0038428737 0.0050703576 0.003350224 0.0031628932 0.002932093 0.004153367 0.0034381973 0.00378595 0.00378802 0.0061674346 0.0038221742 0.0034847714 0.003027311 0.0048933765 0.004161647 0.003839769 0.0037176413 0.00472985 0.0038935877 0.0033305597 0.0030956196 0.0043738177 0.0037269562 0.0037217813 0.0035810242 0.005516433 0.0039484417 0.0031049345 0.0029020787 0.0036721025 0.003067675 0.0026847331 0.0028689594 0.004164752 0.00332021 0.0035241004 0.003358504 0.0040043304 0.0032229219 0.0035065059 0.0034557919 0.0065969503 0.0039463714 0.0036213885 0.0032239568 0.004160612 0.0032291317 0.0035427301 0.0030697451 0.0049948045 0.0037766353 0.0037072916 0.0035861991 0.0041243876 0.0031173541 0.0035654996 0.0034723517 0.005165576 0.0036255284 0.003647263 0.0033378045 0.003938092 0.0033802385 0.003363679 0.0035344502 0.0046563665 0.003642088 0.0038045796 0.003504436 0.0041078283 0.0033936934 0.003689697 0.0037911248 0.00590662 0.0036244935 0.0033367695 0.0029538276 0.0040043304 0.0030542205 0.0032705308 0.003029381 0.004982385 0.003161858 0.0031960125 0.0030573253 0.0035779194 0.0028285952 0.0030904447 0.0031991173 0.0045042248 0.0032943354 0.0032239568 0.0031432286 0.0038884128 0.0033305597 0.0033015802 0.0036296684 0.0046149674 0.0032964053 0.0034806314 0.003165998 0.004036415 0.0031939424 0.0034723517 0.003350224 0.008636893 0.004597373 0.004019855 0.0035209956 0.004365538 0.0034309526 0.0030221362 0.0033885185 0.004539414 0.0038376988 0.0029652123 0.0031898026 0.003733166 0.0027985808 0.0028513647 0.002980737 0.0052276743 0.003216712 0.0035034008 0.003027311 0.0036617527 0.003174278 0.0033026151 0.0032663909 0.004543554 0.0028472247 0.0030407656 0.0027064679 0.0035178906 0.0032239568 0.0029828069 0.0031546133 0.005013434 0.0034123228 0.0032705308 0.0027996157 0.0037735302 0.0030138562 0.0030573253 0.0031877325 0.0041357726 0.0029972966 0.003120459 0.0030148912 0.003641053 0.0028296302 0.0029207082 0.0030386958 0.0046729264 0.0031132142 0.0038449438 0.0028586097 0.0035634297 0.0031494384 0.0029838418 0.0031152843 0.004248585 0.0031535784 0.0033357346 0.0031835928 0.0036545077 0.0031949775 0.0033357346 0.0033440143 0.006713903 0.004062289 0.0037238512 0.0033378045 0.004120248 0.0032508662 0.003310895 0.003221887 0.0043293135 0.0033305597 0.003120459 0.0030852698 0.0036503677 0.0029828069 0.0030811299 0.002796511 0.0042496203 0.0032746708 0.0030987244 0.0030086813 0.0037103966 0.0030262761 0.002933128 0.0029476178 0.003981561 0.0031018294 0.0027199225 0.0026371242 0.0035220305 0.0029393379 0.0035820592 0.002887589 0.0049534054 0.0032322367 0.0033957632 0.002977632 0.0038056145 0.00307285 0.0032001524 0.0029155333 0.004443161 0.0054501947 0.0034744216 0.0031370188 0.0037921597 0.0030811299 0.0032508662 0.0031908376 0.0046139327 0.003315035 0.0034216377 0.0030407656 0.003733166 0.0030914797 0.003315035 0.0032446564 0.004345873 0.0030345558 0.0031898026 0.0028762042 0.0040105404 0.0030997596 0.0042227106 0.0045125047 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099184334 0.062007573 0.0624435 0.05532351 0.060603894 0.059567202 0.054946672 0.05449001 0.060474824 0.053176004 0.05213154 0.052966595 0.056436915 0.05054385 0.056669135 0.053832747 4031.0 5.7020593 22985.0 0.017098108 0.010572112 0.009353926 0.008701327 0.013487057 0.012529911 0.011877311 0.011442245 0.012660431 0.009745486 0.0085273 0.008570807 0.013922123 0.010528605 0.011746791 0.009919513 0.016663041 0.011964325 0.008701327 0.0075266478 0.009788993 0.008440287 0.007874701 0.008309768 0.010267566 0.008440287 0.00957146 0.008875353 0.011529258 0.00904938 0.009658473 0.009223406 0.018011747 0.010876658 0.010398086 0.009092887 0.010833152 0.0088318465 0.010746139 0.008266261 0.014226669 0.011572765 0.009701979 0.00891886 0.011398738 0.009353926 0.011703284 0.009527953 0.014748749 0.009614966 0.009919513 0.009005873 0.012051337 0.009353926 0.00957146 0.009788993 0.01370459 0.009223406 0.010485099 0.009614966 0.011094192 0.0098325 0.010354579 0.010659126 0.017881228 0.010963672 0.009658473 0.008179247 0.013095497 0.008222754 0.00944094 0.008309768 0.015444855 0.009266913 0.008875353 0.008701327 0.011442245 0.007961714 0.010093539 0.007831194 0.013182511 0.00800522 0.0086578205 0.0088318465 0.011442245 0.009484447 0.008222754 0.00800522 0.010920165 0.00891886 0.012094844 0.008570807 0.011442245 0.00891886 0.0101805525 0.008701327 6.554639 0.0 0.0 0.0 14.0 966204.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.07726456 0.0071869125 0.0061572082 0.004954136 0.006162462 0.004507581 0.0045391023 0.0032099439 0.0070345583 0.0033938198 0.0035514275 0.0027738959 0.004476059 0.003194183 0.0026267953 0.0036827673 0.005159026 0.0031206328 0.0031889295 0.0029998003 0.0057947105 0.002863207 0.0026005274 0.002668824 0.0041293222 0.0037300496 0.0025479915 0.0031258864 0.002411398 0.0030523362 0.003104872 0.0026110345 0.0047650067 0.002836939 0.002579513 0.0028579533 0.004528595 0.0036880209 0.0027791495 0.0026373025 0.0034988916 0.0029157428 0.0029472644 0.0028316854 0.0040872935 0.0029052356 0.004507581 0.0047912747 0.006440902 0.004733485 0.0047965283 0.0049121073 0.0026845848 0.0028211782 0.0043184515 0.0033570447 0.002978786 0.0029735323 0.003378059 0.0034463557 0.0036407385 0.004092547 0.0027371207 0.003724796 0.008006472 0.0032046903 0.0039717145 0.0027528815 0.0035619347 0.008185094 0.0038351214 0.003976968 0.0029735323 0.0038456286 0.004439284 0.0063095624 0.0047177244 0.0029315036 0.0043604802 0.0044497913 0.0064881844 0.0032940016 0.0047282316 0.0039717145 0.0037037816 0.0050749686 0.0030996185 0.004801782 0.0046651885 0.0030733505 0.003104872 0.0029945467 0.0023903837 0.003015561 0.003724796 0.002978786 0.00618873 0.0048333034 0.0039507 0.0042291405 0.0046494277 0.0047177244 0.0050907293 0.0036197242 0.0037458104 0.0039612073 0.0040242504 0.0028789677 0.003777332 0.0027108528 0.0038246142 0.004481313 0.0032099439 0.0026740776 0.0034095806 0.0037090352 0.0061414475 0.004250155 0.0025952738 0.0028159246 0.0042449012 0.0029052356 0.0034095806 0.0028789677 0.0029682787 0.0032677334 0.0027055992 0.0034463557 0.004596892 0.0037142888 0.0037458104 0.004838557 0.004066279 0.0031889295 0.0029998003 0.0028054174 0.002285312 0.0047702603 0.0027108528 0.008710453 0.0032309582 0.0039191786 0.002437666 0.0030891113 0.0034148342 0.002143465 0.0033097623 0.003068097 0.0035776955 0.0028316854 0.0048543178 0.0036144706 0.0026740776 0.0025479915 0.002758135 0.0026373025 0.0027161064 0.0025217235 0.0032992552 0.003404327 0.0030838577 0.003609217 0.0026373025 0.0036827673 0.003015561 0.0038088534 0.0025952738 0.002579513 0.0027161064 0.0026583169 0.0028159246 0.0025690058 0.0025900202 0.0023168335 0.002695092 0.0028789677 0.004045265 0.0023798766 0.0022748047 0.0028894749 0.0026162881 0.0028421925 0.0027003456 0.0032992552 0.0033833126 0.00251647 0.0028894749 0.0025217235 0.0034621165 0.003194183 0.0028054174 0.0029577715 0.006530213 0.0040137433 0.002810671 0.004617906 0.002642556 0.0023693694 0.0035671883 0.0038035999 0.002490202 0.002989293 0.002437666 0.0025900202 0.0030260682 0.002784403 0.003194183 0.0035409203 0.0032151975 0.0027161064 0.004040011 0.0028054174 0.0029840395 0.0027108528 0.0025374843 0.0030628433 0.0026635705 0.0027791495 0.0027896566 0.0031363936 0.0025900202 0.0038088534 0.0036039634 0.0035882026 0.0045601167 0.0025007091 0.0021329578 0.003724796 0.0028579533 0.0025637522 0.0030208146 0.003183676 0.0071606445 0.0043814946 0.0029945467 0.00367226 0.0029052356 0.0031363936 0.002411398 0.0035093988 0.0040505184 0.0030365754 0.0033465375 0.0032782406 0.0040767863 0.0033990734 0.00313114 0.0033045087 0.0036407385 0.003661753 0.0031521544 0.003272987 0.0038193606 0.0035776955 0.004045265 0.018571444 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0065758745 9.022588e-05 0.00030252206 0.00039805536 0.0003529424 0.00017779807 0.0007483441 0.0003264054 0.0002176036 3.9805538e-05 0.00029986838 3.7151833e-05 0.0001088018 0.0005572775 8.491848e-05 0.0005519701 0.010959791 0.00013003142 0.000615659 0.00028129245 0.00093941065 0.0005254331 0.002712084 0.0013003142 0.0003290591 9.818699e-05 0.0003237517 8.226478e-05 0.00024679434 0.0014197308 0.00015126103 0.0016240659 0.005299444 0.00016452956 0.00029986838 0.0008332626 0.0005944293 0.00037417206 0.0014913807 0.000740383 0.00016983696 0.00016187585 0.00010084069 9.2879585e-05 0.00015126103 6.899626e-05 0.00010349439 0.00022291101 0.024169922 0.0029296875 0.0029137654 0.0072658374 0.006589143 0.0040097446 0.0033861243 0.0017965565 0.0012817383 0.0007509978 0.00070057745 0.00067669415 0.00080141815 0.00076957373 0.00083856995 0.00090225885 0.0021123472 6.1035156e-05 0.00034498132 0.00012737772 0.00029721466 0.00018841287 0.00082264777 0.00038478686 0.00013533882 0.00010349439 3.9805538e-05 9.553329e-05 0.00016983696 5.307405e-06 0.00020168138 0.00034498132 0.0016744862 8.491848e-05 0.00024148692 0.00013268512 0.00029986838 0.0003078295 0.00050951086 0.00028394617 0.00025210174 0.00018045177 6.368886e-05 0.00011941661 0.00029190726 3.449813e-05 0.00035824982 0.00059973676 0.028951894 0.004925272 0.005851414 0.0053790547 0.012092922 0.009824007 0.008441428 0.0059097954 0.016007133 0.004423722 0.0027863875 0.0035718835 0.008619226 0.004362687 0.008834176 0.01675813 0.061106805 0.044791844 0.04470958 0.046678625 0.049987793 0.045553457 0.04875913 0.044091266 0.043242082 0.04400104 0.04235309 0.042472508 0.043483566 0.04225756 0.044606086 0.051036004 1156.0 12.227509 14135.0 0.0146445 0.0024053766 0.0018394057 0.002051645 0.0024761232 0.002263884 0.0021223912 0.0024761232 0.0025468695 0.0026176157 0.0026883623 0.0032543333 0.0038203043 0.0025468695 0.027732579 0.024053767 0.032755572 0.029006014 0.027874071 0.0068623982 0.0036788115 0.004174036 0.024831977 0.0049522463 0.0030420942 0.0046692607 0.0048815 0.0034665724 0.0040325434 0.004386275 0.0033250796 0.0044570216 0.0046692607 0.010116732 0.010824195 0.0061549344 0.009126282 0.04619738 0.006225681 0.011814645 0.006225681 0.0070038913 0.023841528 0.014290768 0.025822427 0.0038203043 0.024831977 0.024548993 0.019030774 0.002829855 0.026034666 0.008065087 0.0074283695 0.024548993 0.004527768 0.02419526 0.009692254 0.0070746373 0.0033958259 0.0032543333 0.0023346303 0.004527768 0.0049522463 0.0036080652 0.01620092 0.022355855 0.016130174 0.01987973 0.019101521 0.030279448 0.0051644854 0.0059426953 0.0058012027 0.019101521 0.0046692607 0.00820658 0.012309869 0.004598514 0.016059427 0.021789884 0.009409267 0.0038910506 0.018606296 0.013300318 0.027449593 0.011036434 0.0031835868 0.0038203043 0.0046692607 0.0049522463 0.0033250796 0.0017686593 0.0018394057 0.0025468695 0.0030420942 0.0026176157 6.0630302 1.0 3.0 0.0 2.0 190346.0 61440.0 0.0 0.0 7.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 26624.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26624.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.670354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.971871 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.57778 0.0 0.0 0.0 0.0 0.0 0.0 -4.521669 3.529423 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -1784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 2064.0 0.0 0.0 0.0 0.0 0.0 -520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26332.0 0.0 0.0 0.0 0.0 0.0 0.0 -1930.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1930.0 40960.0 4096.0 57344.0 0.0 0.0 0.0 0.0 1784.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.16138856 0.0084099425 0.0047878595 0.0035153478 0.00804122 0.0028153278 0.0019503527 0.0023759094 0.009394129 0.0023135312 0.0019933241 0.0017077714 0.005110839 0.0014554871 0.0014236049 0.0038216931 0.0071706995 0.0020155031 0.0013404343 0.0008926987 0.0028278034 0.0021915475 0.0007651703 0.0007388329 0.0025741328 0.00072081265 0.0008441825 0.0007416053 0.0022164988 0.00069447525 0.00073744677 0.00074715004 0.0063389926 0.0005641745 0.0010465645 0.000544768 0.005532237 0.0014748935 0.00063902815 0.00059328426 0.0018962917 0.0007873492 0.0007651703 0.0013043936 0.0017909422 0.0010285442 0.0011061701 0.0007610118 0.0061601754 0.0029303806 0.0027224538 0.012704323 0.004542506 0.0026115596 0.0025075963 0.0045161685 0.0039880346 0.0027099783 0.0031909822 0.0035541607 0.0035652502 0.0031105836 0.002646214 0.0030218684 0.012307876 0.004496762 0.0041044736 0.0070293094 0.0062142364 0.02111288 0.004962518 0.0036927785 0.005321538 0.009046199 0.0008067557 0.0009855727 0.0020737224 0.003360096 0.001214292 0.0015331131 0.00899491 0.0022469948 0.0021804583 0.007213671 0.0036484208 0.01113101 0.0044108187 0.0030676122 0.0018172795 0.006156017 0.0027681978 0.004441315 0.0016301455 0.004021303 0.0036692135 0.0025505677 0.0019794623 0.004769839 0.0014111294 0.0027127506 0.009480072 0.009126597 0.003983876 0.0016065805 0.0075144717 0.0049916273 0.00395338 0.00093982875 0.0041599204 0.002155507 0.005851058 0.00523005 0.0027252263 0.00057387777 0.005579367 0.004665876 0.013124335 0.006510879 0.001602422 0.0011962717 0.0024188808 0.0015816293 0.0006861582 0.00096339383 0.0021153078 0.0019974827 0.0012725116 0.0010784466 0.006032647 0.0012586497 0.0006168493 0.009046199 0.003563864 0.004427453 0.00081230036 0.0009093329 0.0023218484 0.011989055 0.0022677875 0.05427026 0.001199044 0.009230561 0.0004879347 0.00080814183 0.0031299903 0.0003922884 0.000645959 0.0006667517 0.0009758694 0.000902402 0.0014180603 0.0005350648 0.0014568733 0.00080259715 0.0006833858 0.0014845968 0.0015663813 0.0005766501 0.00055585743 0.00047407293 0.001175479 0.0024895759 0.00047961765 0.00092458085 0.0010770605 0.00086497515 0.00042971523 0.00040892255 0.0010368612 0.00040337784 0.000544768 0.00045050788 0.0011643897 0.00042832905 0.00041308108 0.00041446727 0.0021125355 0.0007485362 0.0014984586 0.0007097232 0.0013639993 0.00055031275 0.0006639793 0.000902402 0.002902657 0.0017049991 0.0020265924 0.0007998248 0.0011228042 0.00042278433 0.00085111335 0.000762398 0.012180347 0.0007554671 0.0019309461 0.0118670715 0.0034654452 0.0005974428 0.0041543758 0.0022996694 0.0016343041 0.0012905318 0.00059882895 0.0007221988 0.0013903367 0.00042555667 0.0006570484 0.0005849672 0.0024618523 0.0006722964 0.002457694 0.0013958814 0.0017535153 0.0005142721 0.0014804383 0.0009814141 0.0046339934 0.000669524 0.0012558774 0.0020584746 0.0016952959 0.00076932885 0.0005350648 0.0006598208 0.0022206574 0.0004643697 0.00087883696 0.000583581 0.0016578691 0.0014166741 0.0004948656 0.0005017965 0.025985295 0.0049444973 0.0008469548 0.0054352046 0.005119156 0.00064873137 0.00072358496 0.00063902815 0.005819176 0.00065150374 0.001509548 0.0009121052 0.004301311 0.00054338184 0.0020113445 0.0023551167 0.008333703 0.0033559373 0.0030648399 0.0027792873 0.011216953 0.003430791 0.0043567577 0.052342087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011106142 6.2511112e-06 3.4728396e-06 5.7649137e-05 4.8619754e-06 4.8619754e-06 5.5565433e-06 5.5565433e-05 0.00011390914 4.8619754e-06 3.4728396e-06 6.2511112e-06 1.1807655e-05 1.5975062e-05 6.945679e-06 1.0418519e-05 0.0011154761 1.5280495e-05 1.0418519e-05 3.4728397e-05 6.598395e-05 3.333926e-05 4.1674075e-06 2.2920742e-05 4.4452347e-05 5.5565433e-06 4.1674075e-06 8.334815e-06 1.25022225e-05 2.0837038e-05 1.5280495e-05 9.029383e-06 0.019452764 0.0003660373 0.002173303 0.0002771326 0.00093002646 0.00035978618 0.007264486 0.0036575948 0.0001666963 1.8058767e-05 2.7782717e-05 4.2368643e-05 4.306321e-05 2.6393582e-05 5.4870867e-05 0.0007015136 0.009103701 0.00018753334 0.00032783605 0.00019586815 0.0019406228 0.000710543 0.0048425277 0.002422653 0.00023129112 0.0001472484 6.667852e-05 8.265358e-05 0.00012293852 8.056988e-05 7.36242e-05 0.00080083683 0.0072019747 0.00045216372 0.00053342816 0.0029651104 0.0011113087 0.0005237042 0.0026817268 0.0014224751 0.0007605519 0.0001298842 0.0001493321 0.00024796074 0.00032297408 0.00010974173 9.793408e-05 0.0012043808 0.009186355 0.00042715928 0.00032297408 0.0008570968 0.0022156716 0.00059177185 0.0029345495 0.0015704181 0.0006667852 0.00029171852 0.00015627778 0.0002646304 0.00020211926 8.473729e-05 0.00019864642 0.0013662151 0.028971123 0.00373747 0.002985253 0.03476243 0.01037615 0.0045647 0.011684716 0.007341583 0.003935422 0.0027240955 0.0024059834 0.0028956537 0.0030255378 0.0025636503 0.0033505957 0.0041208714 0.022072675 0.0018607475 0.0025129467 0.002811611 0.0091287065 0.002647693 0.007872927 0.003834015 0.0032255733 0.0010314333 0.0006758146 0.0013349595 0.0015766692 0.0014349773 0.0025178087 0.0037402483 0.04323616 0.0060899714 0.0051106308 0.006468511 0.02307563 0.017231535 0.012025055 0.008384129 0.030225512 0.0031318069 0.0024497411 0.0048772558 0.0103261415 0.004802243 0.014420619 0.03147365 0.07789718 0.014068473 0.012037557 0.016029933 0.039441735 0.04331534 0.020366816 0.019265926 0.06994577 0.008775171 0.0067512 0.00938778 0.02888708 0.014829719 0.03185219 0.063677296 0.00026324124 5.695457e-05 5.695457e-05 7.709704e-05 0.0001104363 8.959926e-05 4.723062e-05 8.612642e-05 0.00015836148 3.8201237e-05 3.68121e-05 2.7088148e-05 0.00011321457 7.57079e-05 8.056988e-05 0.00010487976 5927.0 11.346888 67253.0 0.010720711 0.0006393767 0.0032712296 0.00072859204 0.0049960595 0.0015017918 0.0013233611 0.0009813688 0.0036429602 0.0009516304 0.0021857761 0.00090702274 0.0033307064 0.0013382302 0.0032266218 0.0011449304 0.013337695 0.00978395 0.009694735 0.027597282 0.011196527 0.009724474 0.009308135 0.009293266 0.013664818 0.009754212 0.011687211 0.009010751 0.012148157 0.009769081 0.009739342 0.0096055195 0.004713544 0.0105868885 0.007925297 0.013382303 0.013114656 0.008178074 0.006795236 0.0051893597 0.007003405 0.010705842 0.0014869225 0.0019627376 0.009189181 0.00863902 0.0043566828 0.008192943 0.009085096 0.005873344 0.006155859 0.017129347 0.017991763 0.0063045514 0.0045053754 0.006393767 0.005159621 0.00788069 0.0026615914 0.0067506284 0.0033455756 0.006349159 0.006810105 0.0096649965 0.0030927989 0.030942857 0.007345397 0.0195679 0.0193746 0.07116411 0.007003405 0.010512542 0.013070049 0.03570101 0.0026169836 0.0043715523 0.02648209 0.013471518 0.041187752 0.03800574 0.013694556 0.0021560376 0.041306708 0.02976819 0.049737558 0.013858118 0.008163204 0.0040592984 0.0068398435 0.008415981 0.0019627376 0.0007880689 0.0029887143 0.000594769 0.0012341457 0.0008326766 5.9466796 0.0 7.0 0.0 3.0 721408.0 745472.0 0.0 4.0 17.0 1.0 1.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 609280.0 1024.0 4096.0 7.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -46592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -609280.0 0.0 0.0 512.0 0.0 0.0 0.0 -9728.0 43008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6750603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6255136 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5287933 0.0 0.0 4.50253 0.0 0.0 0.0 -5.056812 4.371879 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4285.0 0.0 0.0 0.0 0.0 0.0 -10944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -609280.0 0.0 0.0 151.0 0.0 0.0 0.0 -9672.0 43008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 151.0 647168.0 9672.0 634880.0 43008.0 700416.0 0.0 0.0 0.0 0.0 46300.0 651264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.0692046 0.004218379 0.0028833316 0.0055997823 0.0020551078 0.002750445 0.0057620276 0.0026361006 0.0017167104 0.0021833589 0.0017800633 0.0018635037 0.0011619858 0.003890798 0.0021339126 0.0024661294 0.0016734449 0.0016765354 0.0015513746 0.0016193631 0.001036825 0.0024661294 0.0018078767 0.0032727206 0.0028261596 0.0017321623 0.0017476142 0.0015513746 0.0023239716 0.004297184 0.008843144 0.007093985 0.0047715586 0.0027288124 0.001746069 0.0018913172 0.003929428 0.002509395 0.005587421 0.0029358682 0.003260359 0.0015266516 0.0015575554 0.0017831536 0.0020952828 0.0057991124 0.003731643 0.0059968974 0.2602199 0.0019886645 0.0023687822 0.0024522226 0.0038768912 0.0029451395 0.0019144951 0.0018542326 0.0020195683 0.0015668266 0.0013335022 0.0029405039 0.0021246416 0.0013535898 0.0027303575 0.0049029 0.002303884 0.0021802685 0.002694818 0.0033978813 0.0038042672 0.002135458 0.0020829213 0.0026793662 0.004797827 0.0024908525 0.0017228911 0.0030749356 0.0029235068 0.0047931913 0.0021586358 0.0019330375 0.0032897177 0.0019114048 0.0021478194 0.0022868868 0.0025464795 0.001579188 0.0014123071 0.0016209084 0.0018990432 0.0015961853 0.001403036 0.0013984004 0.0021138252 0.0035122256 0.0022776157 0.004655669 0.0028493374 0.0022683446 0.0023224263 0.0038150835 0.0016317246 0.0024537677 0.0059567224 0.0043806243 0.0038784365 0.0028524278 0.0031800088 0.0044053476 0.0046819374 0.0024367706 0.003419514 0.0019083144 0.0028431567 0.0017800633 0.00231161 0.0018820461 0.0017986057 0.003555491 0.0015328323 0.004918352 0.0048488183 0.0019361279 0.0022760704 0.0026762758 0.0040545887 0.0017862441 0.0025155756 0.0014710245 0.0026577334 0.0025603862 0.0032062773 0.0024228639 0.0025248467 0.0019639414 0.0023935053 0.0030440318 0.0025634766 0.0026191035 0.0014478466 0.0032974437 0.0026515527 0.0041828398 0.0029358682 0.0012902368 0.002773623 0.002096828 0.004624765 0.004337359 0.0040422273 0.0034658697 0.0017630662 0.0014663889 0.0017429787 0.0016224536 0.0018186931 0.0015359226 0.0020921924 0.0015513746 0.0016178179 0.0014401206 0.0016796257 0.0029296875 0.0021339126 0.0025959257 0.0019067692 0.002806072 0.0023007935 0.0034303302 0.0020072067 0.00498016 0.00219263 0.0035431294 0.0021030088 0.0024352255 0.0011527146 0.0014138523 0.0032356358 0.0027689873 0.0018588682 0.002470765 0.0032572686 0.0017043488 0.0016997132 0.0019021336 0.0037131007 0.0038707105 0.0037455498 0.0017182556 0.0027597162 0.00239196 0.004201382 0.0026762758 0.0037378238 0.0023425138 0.0016116372 0.002041201 0.002209627 0.004618584 0.0025511151 0.001960851 0.0023533301 0.0016147275 0.003524587 0.0013443186 0.0020659242 0.0023316974 0.0019005884 0.0014123071 0.0015621909 0.001474115 0.0016193631 0.0015606458 0.0016487219 0.0029714077 0.0017074392 0.0020612886 0.0046757567 0.0019855741 0.003197006 0.003315986 0.0027844394 0.0020504722 0.004544415 0.0027056343 0.004311091 0.002336333 0.0023595109 0.0019716674 0.0019546703 0.0038923433 0.002463039 0.0019314922 0.0033716129 0.002263709 0.0028601538 0.002217353 0.0024537677 0.002072105 0.0017429787 0.0020628339 0.0018279643 0.0021184608 0.0017785181 0.0050435127 0.0018882268 0.002446042 0.001761521 0.0025325727 0.0018758653 0.002016478 0.0018789558 0.0034936832 0.002104554 0.0018480518 0.0018202383 0.0027550806 0.03959489 1.5476427e-06 1.5476427e-06 4.6429277e-06 6.1905707e-06 0.0 3.8691064e-06 2.3214639e-06 0.0 1.5476427e-06 1.5476427e-06 1.5476427e-06 0.0 0.0 0.0 0.0 1.3154962e-05 1.160732e-05 1.0059677e-05 0.0030457608 8.512035e-06 6.1905707e-06 1.23811415e-05 7.738213e-06 1.0059677e-05 3.8691064e-06 9.285855e-06 6.1905707e-06 6.1905707e-06 9.285855e-06 5.416749e-06 3.8691064e-06 0.0029281399 6.500099e-05 5.339367e-05 0.002979212 7.738213e-05 1.9345533e-05 2.7857568e-05 1.702407e-05 1.6250247e-05 2.7083746e-05 2.321464e-05 1.6250247e-05 2.0893176e-05 2.0119354e-05 2.3988461e-05 2.3988461e-05 0.0041755396 9.904913e-05 9.285856e-05 0.007179514 8.744181e-05 6.964392e-05 0.00013541873 9.131092e-05 6.500099e-05 6.19057e-05 0.00029327828 7.738213e-05 6.113188e-05 6.88701e-05 6.345335e-05 5.6488956e-05 0.005335498 7.428684e-05 0.00011297791 0.0055119293 0.00018184801 0.00015166898 0.0005401273 0.00022440818 5.80366e-05 6.0358063e-05 7.583449e-05 6.809628e-05 6.964392e-05 0.00010059677 5.5715136e-05 5.7262776e-05 0.001446272 0.00020583648 0.00020196737 0.010328967 0.00023292021 0.0001416093 0.00031726673 0.00022131289 0.00014702605 0.0001307758 0.00018649094 0.00014083547 0.00012845434 0.00014934751 0.00015321662 0.0001307758 0.00028863535 0.00029482594 0.0003126238 0.013524849 0.0002832186 0.00020583648 0.00032732642 0.0002646469 0.00024530134 0.00020041972 0.00024994428 0.00028786153 0.00022440818 0.00025690868 0.00023756314 0.00022827729 0.003845892 0.00050066237 0.0006283429 0.016236318 0.00058268744 0.0005525084 0.00054709165 0.00046351895 0.00051072205 0.00040703002 0.00045113784 0.00046119752 0.00046042367 0.00043798288 0.00043256613 0.00042328026 0.00073899934 0.0006987607 0.00075679726 0.020574361 0.0006360811 0.00050994824 0.0008094171 0.00065774814 0.0006035806 0.0005447702 0.0005881042 0.00065542664 0.0005734016 0.0005548299 0.0006267953 0.0005819136 0.0029993313 0.0010036463 0.0012241853 0.022932969 0.0010965049 0.0008341794 0.0011715655 0.000944062 0.0010740639 0.0008310841 0.00090614473 0.0010500755 0.0008960851 0.000892216 0.0009115615 0.00085197727 0.0017380026 0.0017093713 0.0018703261 0.030852256 0.0014609747 0.0012396617 0.0019523512 0.0015228804 0.0013603779 0.0013874617 0.0014795463 0.0016420488 0.001377402 0.0014648438 0.0015166898 0.0013085318 0.0029652833 0.002131104 0.0022123551 0.029135147 0.0021125323 0.0015816907 0.002372536 0.001975566 0.0018672309 0.0016807399 0.0017674079 0.0019036004 0.0016822875 0.0017426456 0.0018006822 0.001706276 0.0032461805 0.0030596894 0.0034496954 0.03413171 0.0027393275 0.0022858682 0.0035711853 0.0027818875 0.0025659914 0.0025280742 0.0025095025 0.0029412948 0.0025234313 0.0025690868 0.0025946228 0.002572182 0.008205601 0.0042660767 0.006356168 0.033481702 0.006947368 0.0036965443 0.0050012073 0.004118277 0.0062161065 0.0038582732 0.003612198 0.004204945 0.004301673 0.0039418456 0.004040121 0.00393256 0.008005181 0.0053463313 0.006313608 0.029995635 0.005590859 0.004395305 0.00637474 0.005066982 0.005041446 0.0048062042 0.0048812646 0.0055715134 0.004776799 0.004981088 0.004958647 0.004829419 0.025574021 0.02610641 0.028317217 0.03714033 0.023179818 0.019999413 0.029310804 0.02387471 0.0220423 0.021516101 0.02262344 0.025010679 0.02057204 0.022733323 0.022905111 0.020536443 2552.0 70.905174 180950.0 0.0019895 0.000967118 0.00050842774 0.0005029013 0.00087869575 0.00066316663 0.0018734457 0.0006797458 0.0003923736 0.00033158332 0.0005250069 0.00046421663 0.00090080133 0.001464493 0.0012047527 0.0015750207 0.9227853 0.00044211108 0.0006079027 0.00064658746 0.001110804 0.0010555402 0.0004255319 0.00051395415 0.00049184856 0.00046421663 0.00036474163 0.000569218 0.0005471125 0.00045869025 0.00092843326 0.0016579166 0.00044211108 0.00066316663 0.0005029013 0.0007847472 0.0019895 0.0006355347 0.0005747444 0.0006300083 0.0013871235 0.000867643 0.0006189555 0.0010334346 0.0010113291 0.0010997513 0.00055816525 0.0005194805 0.0016137054 0.0005471125 0.00066316663 0.0009560652 0.00064106105 0.00044211108 0.00039789997 0.00044763746 0.0008952749 0.0004365847 0.00043105832 0.00035368887 0.00059684995 0.000569218 0.0005913236 0.00092843326 0.0012931749 0.000696325 0.00068527216 0.0009781708 0.00049184856 0.0011826472 0.0028129318 0.00092843326 0.0007847472 0.001066593 0.00092290685 0.001066593 0.000939486 0.0005471125 0.0015694944 0.00072948326 0.0011771207 0.00033158332 0.0007626416 0.00059684995 0.0006300083 0.000696325 0.0003813208 0.001237911 0.001807129 0.00045316387 0.0007405361 0.00080132636 0.0005857972 0.00045316387 0.0004807958 0.0003481625 0.8854709 0.0 0.0 0.0 3.0 647168.0 647168.0 1.0 15.0 16.0 1.0 1.0 0.0 0.0 0.0 1542712000.0 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 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18.0 0.0 5.0 0.0 5.0 0.0 602112.0 4096.0 4096.0 8.0 0.0 0.0 1.0 1.0 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 4096.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -602112.0 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 -5.066902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.3174582 0.0 0.0 0.0 0.0 4.227954 0.0 0.0 0.0 -5.07773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9198463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5121117 0.0 0.9779042 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -308.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3739.0 0.0 0.0 0.0 0.0 384.0 0.0 0.0 0.0 -503.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1846.0 -14320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -601298.0 0.0 4036.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 487.0 643088.0 60.0 607768.0 912.0 630784.0 384.0 626688.0 0.0 0.0 308.0 634880.0 56.0 606352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 144.0 606208.0 64.0 607584.0 0.0 0.0


Input: 0.19586073 0.028897485 0.015754351 0.015918761 0.014477756 0.007591876 0.028220503 0.009303675 0.010377176 0.006276596 0.035454545 0.0054061897 0.0036170213 0.0055706 0.008007737 0.0024564797 0.00393617 0.013462283 0.006663443 0.007814313 0.002417795 0.0030464216 0.0057446808 0.0041682785 0.0024854932 0.0019148936 0.0024564797 0.0027659575 0.002205029 0.0036943906 0.0021953578 0.0031044488 0.017485494 0.0017311412 0.0027659575 0.0015183752 0.00139265 0.0027272727 0.0031237912 0.0012572533 0.021208897 0.0013346229 0.0069148936 0.003955513 0.003230174 0.0040715667 0.003974855 0.0025628626 0.01032882 0.003704062 0.002359768 0.002582205 0.0019148936 0.0015570599 0.0017311412 0.0013346229 0.0017988394 0.0014796905 0.0016924564 0.0010541586 0.0013539651 0.0012765958 0.0011218569 0.0009961316 0.0018085106 0.0029787235 0.002301741 0.004081238 0.0029497098 0.0025628626 0.002804642 0.002794971 0.0019052224 0.004197292 0.0017408123 0.001402321 0.0024468086 0.002098646 0.0017698259 0.0016441005 0.002804642 0.0027079303 0.0027659575 0.004825919 0.0041295937 0.0034526112 0.0025531915 0.0020599612 0.002524178 0.0017891682 0.0015570599 0.0017504835 0.000967118 0.0011121857 0.001344294 0.0033655707 0.0015667311 0.012446809 0.0032591876 0.0058897487 0.0048065763 0.02032882 0.003713733 0.0056189555 0.004235977 0.011479691 0.0011605415 0.0019922631 0.0080851065 0.0055802707 0.009352031 0.021083172 0.0048646033 0.0007930368 0.010967118 0.011479691 0.014506769 0.0044970987 0.0023791103 0.0020696325 0.0018181818 0.004255319 0.0011218569 0.0015183752 0.0007930368 0.0016441005 0.0028143134 0.0008510638 0.00688588 0.0031528047 0.0026015474 0.0009090909 0.0013733075 0.001131528 0.003017408 0.0009864604 0.00083172147 0.0010638298 0.0009767892 0.00093810447 0.0017117988 0.0012185687 0.0014119922 0.0011605415 0.00088007736 0.0020116053 0.0009477756 0.0009864604 0.0010251451 0.0010831722 0.0027079303 0.0009864604 0.00083172147 0.0010831722 0.0010638298 0.00088974857 0.0009574468 0.0012282399 0.0010154739 0.00072533847 0.0014796905 0.0016054158 0.002311412 0.0009961316 0.0011508705 0.00091876206 0.0013829787 0.0010928434 0.0010348163 0.0012088974 0.0010638298 0.000754352 0.00078336557 0.00091876206 0.00092843326 0.0011121857 0.0009961316 0.00092843326 0.0007059961 0.00067698257 0.0009961316 0.00088007736 0.0007930368 0.00078336557 0.0014796905 0.0010928434 0.00084139267 0.0008994197 0.006943907 0.001073501 0.0009090909 0.00092843326 0.00087040616 0.0009961316 0.0010058027 0.0006189555 0.001073501 0.0007350097 0.00084139267 0.000696325 0.00088007736 0.0010251451 0.00088007736 0.00067698257 0.0012282399 0.0006479691 0.0006382979 0.0007930368 0.00139265 0.0012572533 0.00088007736 0.000860735 0.00084139267 0.0006286267 0.0007446809 0.000696325 0.00083172147 0.00084139267 0.0008123791 0.00072533847 0.0016537717 0.0011702128 0.003172147 0.0007156673 0.00082205026 0.0007446809 0.0067988397 0.00091876206 0.0010928434 0.0006479691 0.0017601547 0.00057059963 0.00093810447 0.00093810447 0.004574468 0.0006286267 0.0009864604 0.0006576402 0.0006382979 0.000696325 0.0009477756 0.00083172147 0.0006382979 0.00072533847 0.00083172147 0.00067698257 0.00067698257 0.0011895552 0.00067698257 0.00092843326 0.00067698257 0.000696325 0.0007350097 0.0006382979 0.001131528 0.0033075435 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014899977 0.0015240293 0.0007792771 0.00019728535 0.00018742109 0.00026633524 0.0004981455 0.00020714963 0.00049321336 0.00013809974 0.00013809974 0.00012330334 8.877841e-05 0.000103574814 0.000108506945 0.00044882417 0.004458649 0.0 0.0 0.00034031723 0.0062884707 0.004384667 0.029750632 0.015353733 1.9728535e-05 0.0 0.0 0.0 0.0 0.0 9.864268e-06 0.0 0.04347676 0.0074179294 0.008281053 0.0024364742 0.0046263416 0.0043649385 0.021198312 0.011625039 0.002757063 0.0006559738 0.0005819918 0.001326744 0.0005277383 0.00069049874 0.00033045295 0.00081380206 0.20441228 0.030243844 0.041888613 0.008567116 0.011250197 0.012581874 0.029316604 0.013785314 0.0059876107 0.0035116794 0.003797743 0.0070529515 0.0022342566 0.005528922 0.002022175 0.001657197 0.072388925 0.011999882 0.008882773 0.0036941683 0.005494397 0.005232994 0.016739663 0.009696575 0.008463542 0.0047397804 0.0020961568 0.0021306819 0.0015881471 0.0016424005 0.0039950283 0.0028310448 0.015649661 0.0040394175 0.0039555714 0.002061632 0.001070273 0.0013514047 0.0041479245 0.0020172428 0.0007842093 0.0008729877 0.0008335306 0.00056226325 0.0006510417 0.000626381 0.0010406802 0.00073982007 0.008320509 0.0007891414 0.0014105903 0.0019186 0.0005721275 0.0005129419 0.0005080098 0.0011097301 0.00062144885 0.0009075126 0.00062144885 0.0006115846 0.0005869239 0.00041429925 0.00095190183 0.00034524937 0.0026238952 0.0004981455 0.001035748 0.0010752052 0.00042909564 0.00043895992 0.0013514047 0.0005869239 0.00037484217 0.00021701389 0.00025647096 0.00023181029 0.00017755682 0.00021208175 0.00025647096 0.0003353851 0.018870344 0.0059876107 0.0072748973 0.008892638 0.00427616 0.0050209123 0.009844539 0.006747159 0.004453717 0.0025893704 0.003092448 0.0026238952 0.002540049 0.002983941 0.002880366 0.0028310448 0.010244042 0.0056916825 0.0058544427 0.006485756 0.004996252 0.005277383 0.0075017754 0.005716343 0.005080098 0.004498106 0.007250237 0.0060566603 0.0048433556 0.004789102 0.0117434105 0.0049814554 1250.0 15.5712 19464.0 0.03632347 0.001078915 0.003699137 0.0003596383 0.000513769 0.0004110152 0.0006165228 0.0004623921 0.0011816687 0.0004110152 0.000513769 0.0003596383 0.0008220304 0.0070900125 0.008220304 0.0061138514 0.02039663 0.008477189 0.0049835593 0.0030826142 0.00215783 0.002671599 0.0027229758 0.0012330456 0.0021064528 0.0023633374 0.002568845 0.0003082614 0.0024660912 0.0019523222 0.0022605837 0.0002568845 0.0004110152 0.008939581 0.0054459516 0.011765311 0.007757912 0.0069358815 0.007860666 0.0064221127 0.00215783 0.007244143 0.0002568845 0.0024660912 0.0059083435 0.005291821 0.00364776 0.003699137 0.007244143 0.0001541307 0.007809289 0.016851623 0.010326757 0.00215783 0.0032881217 0.003185368 0.0014899301 0.00077065354 0.0014385532 0.0002568845 0.0001027538 0.0001541307 0.0001027538 0.010224003 0.0007192766 0.052404437 0.011251541 0.024352651 0.018341554 0.10080148 0.015464447 0.025482943 0.013563502 0.050143857 0.0013357995 0.005651459 0.03699137 0.024660913 0.044749282 0.050246608 0.019934237 0.0012330456 0.050452117 0.045006163 0.07054049 0.019266337 0.007860666 0.0068845046 0.004623921 0.014899301 0.0017468146 0.0003596383 0.0001027538 0.0004110152 0.0002568845 0.0003082614 5.320979 0.0 30.0 0.0 1.0 103400.0 114688.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1537882800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 6.0 0.0 4.0 0.0 4.0 0.0 84480.0 512.0 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 -84480.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.235544 0.0 5.0881257 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 -84132.0 0.0 3904.0 0.0 0.0 0.0 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 87.0 92228.0 3904.0 106496.0 0.0 0.0 13800.0 89600.0 12.0 98304.0 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: 0.056973543 0.0083212415 0.0061842 0.005659568 0.0057563754 0.0049683866 0.004199135 0.0054263985 0.0050568664 0.0056377086 0.0037463282 0.0044697784 0.004957977 0.0031717315 0.0043261293 0.004639451 0.005046457 0.0037598603 0.004935077 0.0041585388 0.0043552755 0.0031758952 0.004108574 0.0038379305 0.0050797667 0.003341404 0.003164445 0.002919825 0.004154375 0.003441334 0.0037879655 0.0037910882 0.006180036 0.0038171117 0.0034829713 0.0030207958 0.0048955213 0.004169989 0.0038431352 0.003717182 0.0047289715 0.0038910182 0.0033341176 0.0030915795 0.0043740124 0.0037223867 0.0037223867 0.003583942 0.0055242465 0.003953474 0.003099907 0.0028917198 0.0036745034 0.0030801292 0.0026866554 0.002855287 0.00417103 0.0033112168 0.003519404 0.003340363 0.004005521 0.0032258602 0.0035027491 0.0034507024 0.0066109835 0.00394827 0.0036151703 0.0032248192 0.0041616615 0.0032227375 0.0035412638 0.0030624333 0.005000656 0.0037754744 0.0037046906 0.0035818603 0.0041325153 0.0031280122 0.0035558369 0.0034579888 0.0051713693 0.0036234977 0.003650562 0.0033299539 0.0039316146 0.0033809596 0.0033590999 0.0035371 0.0046519423 0.0036463982 0.0038067023 0.0035027491 0.0041116965 0.0033840823 0.0036890765 0.0037869245 0.005919802 0.003630784 0.0033486907 0.002953135 0.0040117665 0.003050983 0.0032654158 0.0030312052 0.0049746325 0.003163404 0.003196714 0.0030416145 0.0035735327 0.0028292637 0.0030759654 0.0031894273 0.004509334 0.0032872753 0.0032227375 0.0031352988 0.0038899772 0.003328913 0.0032893573 0.0036245387 0.004628001 0.003295603 0.0034788076 0.003161322 0.00403779 0.0031935913 0.0034704802 0.003340363 0.008670996 0.0045998953 0.004023217 0.003520445 0.004367767 0.0034340473 0.0030145503 0.0033872053 0.0045395214 0.0038296029 0.002955217 0.0031894273 0.0037234274 0.002789708 0.0028427958 0.0029781174 0.0052369484 0.003209205 0.0034923397 0.0030207958 0.0036640943 0.0031790182 0.0033028894 0.003258129 0.004543685 0.0028365501 0.0030426555 0.0026949828 0.0035141995 0.0032279422 0.0029770765 0.003149872 0.005011065 0.0034101058 0.0032737432 0.0027938718 0.0037744334 0.0030103864 0.003048901 0.0031769362 0.004141884 0.0029958133 0.0031196848 0.0030093456 0.0036443165 0.0028313454 0.0029135793 0.0030364098 0.004672761 0.003113439 0.0038379305 0.0028459185 0.0035652053 0.00314779 0.0029833221 0.00311448 0.0042584687 0.0031415443 0.0033320356 0.0031727725 0.0036495212 0.0031894273 0.0033237082 0.003341404 0.006732773 0.0040617315 0.0037244684 0.0033393223 0.004120024 0.0032487607 0.0033018484 0.0032258602 0.0043302933 0.0033309946 0.0031113573 0.0030749245 0.0036443165 0.0029770765 0.0030738835 0.0027959538 0.004251182 0.0032706205 0.0030874158 0.0029885268 0.0037130183 0.0030103864 0.0029333571 0.0029458485 0.0039815796 0.0031051117 0.0027230883 0.0026346087 0.0035308544 0.0029416848 0.003582901 0.0028750647 0.0049548545 0.0032321059 0.0033934508 0.002967708 0.0038077433 0.003065556 0.0032029597 0.002907334 0.004443755 0.005456586 0.0034673573 0.003132176 0.0037827608 0.0030738835 0.0032414743 0.0031904683 0.0046155094 0.003310176 0.0034184332 0.0030374508 0.0037390415 0.0030884566 0.003310176 0.0032373106 0.004354235 0.0030343279 0.003180059 0.002857369 0.0040159305 0.0030874158 0.0042303633 0.00453848 0.011730215 0.0 0.0 0.0 0.0 0.0 1.0422225e-06 3.1266675e-06 0.0 1.0422225e-06 2.084445e-06 0.0 0.0 1.0422225e-06 0.0 1.0422225e-06 0.0020625584 4.16889e-06 2.084445e-06 6.253335e-06 5.2111127e-06 1.0422225e-06 3.1266674e-05 1.1464448e-05 0.0 0.0 1.0422225e-05 0.0 0.0 0.0 0.0 0.0 0.0009551969 2.6055563e-06 6.253335e-06 1.3027781e-05 9.380003e-06 5.732224e-06 5.2111125e-05 2.2928896e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028770552 3.5956677e-05 2.8140008e-05 1.0943337e-05 2.2407785e-05 3.4914454e-05 4.2731124e-05 1.8238894e-05 3.5956677e-05 5.2111127e-06 9.901114e-06 1.6154449e-05 2.6576674e-05 7.2955577e-06 1.7196671e-05 1.3027781e-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 0.0008843258 1.1985559e-05 1.250667e-05 8.33778e-06 1.3548893e-05 1.6154449e-05 1.3548893e-05 1.1464448e-05 1.0943337e-05 1.3548893e-05 6.7744463e-06 1.3548893e-05 1.1985559e-05 1.0422225e-05 1.8238894e-05 9.901114e-06 0.0016331627 6.566002e-05 5.732224e-05 4.8984457e-05 4.7942234e-05 3.0745563e-05 2.2928896e-05 0.00055758905 3.0224453e-05 1.7196671e-05 1.9802228e-05 0.00027879453 2.084445e-05 0.00027566784 1.667556e-05 7.816669e-05 0.0007467524 3.752001e-05 3.4393343e-05 2.084445e-05 2.2407785e-05 1.7196671e-05 1.4070004e-05 1.1985559e-05 1.667556e-05 2.2928896e-05 1.9281117e-05 1.7717783e-05 6.7744463e-06 4.6900013e-06 2.2928896e-05 5.1068902e-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 0.0013251859 3.752001e-05 4.3252236e-05 6.0448907e-05 4.2731124e-05 3.1787786e-05 9.2236696e-05 5.8885573e-05 3.9604456e-05 5.784335e-05 4.429446e-05 4.3252236e-05 7.86878e-05 7.816669e-06 8.858891e-06 0.0001620656 0.0011751059 6.982891e-05 4.6378904e-05 4.6378904e-05 3.8562233e-05 3.8041122e-05 4.7942234e-05 6.0448907e-05 5.2632236e-05 5.1068902e-05 6.8786685e-05 5.2111125e-05 7.556113e-05 1.4591115e-05 4.429446e-05 0.00025273897 0.0046024546 0.0002959912 0.0002735834 0.0002647245 0.00030954008 0.00023971118 0.00032934232 0.00031110342 0.00032830008 0.00035591898 0.00032673677 0.00035539787 0.00052580127 0.00015581226 0.00018760006 0.00074310467 0.0032136932 0.00027514674 0.00030224453 0.0002501334 0.00029025896 0.00028400563 0.00034497565 0.0009385214 0.00040959346 0.00035331343 0.00032621564 0.00067275466 0.00046535235 0.00043773346 0.00017561449 0.0008655658 0.0022631863 0.00018291005 0.0002918223 0.00024648564 0.00030016009 0.0002965123 0.0002871323 0.00040490346 0.00044555013 0.00032465233 0.00024752785 0.0003189201 0.0004632679 0.00016258672 0.00019072671 0.001044307 0.000346539 5.4716682e-05 4.3252236e-05 4.533668e-05 5.4716682e-05 4.8463346e-05 5.367446e-05 5.2111125e-05 7.087113e-05 4.8463346e-05 3.8562233e-05 4.950557e-05 4.481557e-05 2.6576674e-05 4.2210013e-05 4.7421123e-05 0.099378005 0.06200755 0.062455185 0.055289384 0.06059638 0.059547905 0.05491731 0.054449875 0.060458288 0.053118434 0.05208507 0.05289227 0.056397267 0.050487865 0.056608837 0.053814117 4009.0 5.7046647 22870.0 0.017184084 0.010450372 0.009357236 0.0086576305 0.013423699 0.012505466 0.011762134 0.011412331 0.012549191 0.00970704 0.008482728 0.008613905 0.013948404 0.010537823 0.011805859 0.009969392 0.01674683 0.011937035 0.008745081 0.007564495 0.009838216 0.008526454 0.007826847 0.008351552 0.01027547 0.0084390035 0.009619589 0.008832532 0.011499781 0.008963708 0.009663315 0.009182335 0.018102318 0.010931351 0.010362921 0.009094884 0.010887626 0.008832532 0.010712724 0.008307827 0.0142544815 0.011630958 0.009750765 0.008963708 0.011456056 0.009357236 0.011718408 0.009575863 0.014822912 0.009619589 0.009969392 0.009007433 0.012068212 0.009400962 0.009575863 0.00979449 0.013729777 0.0092260605 0.010494097 0.009532138 0.011193704 0.009838216 0.010406646 0.010712724 0.017971141 0.0110188015 0.00970704 0.008220376 0.013117622 0.008264101 0.009400962 0.008351552 0.0154787935 0.009313511 0.008919982 0.008701355 0.011368605 0.008001749 0.009925667 0.007870573 0.013205072 0.008001749 0.008745081 0.008745081 0.011412331 0.009400962 0.008132925 0.007914298 0.010887626 0.008919982 0.01189331 0.0084390035 0.011281154 0.008919982 0.010013117 0.008745081 6.554409 0.0 0.0 0.0 14.0 960674.0 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