Input: 0.0566762 0.008299558 0.006164351 0.0056517767 0.005755327 0.004963167 0.0042000012 0.0054208594 0.005051185 0.005630031 0.0037464509 0.00446509 0.0049538477 0.003172782 0.0043294393 0.0046411254 0.0050346167 0.0037568058 0.00492796 0.00415651 0.0043625752 0.0031821015 0.004110948 0.0038427527 0.0050832857 0.0033457112 0.003160356 0.0029356517 0.004154439 0.0034389063 0.0037795869 0.003792013 0.006174706 0.0038261847 0.003487575 0.003022634 0.004883433 0.0041679004 0.0038386106 0.0037226342 0.0047281077 0.0038945277 0.003333285 0.0030951193 0.004364646 0.0037195277 0.0037205631 0.0035890543 0.005522339 0.0039535514 0.0031023677 0.0028942316 0.0036739656 0.0030754446 0.0026902375 0.0028569535 0.0041803266 0.0033094685 0.0035258885 0.0033550307 0.0039929007 0.0032307701 0.0035103562 0.0034534035 0.006592014 0.0039556227 0.003619084 0.0032276637 0.004154439 0.0032235216 0.0035414211 0.0030744092 0.004994232 0.0037764804 0.0037060662 0.0035797348 0.0041285516 0.0031292909 0.0035590248 0.0034637584 0.0051609483 0.0036263324 0.003660504 0.003333285 0.003923522 0.0033809182 0.0033622792 0.0035383147 0.0046431967 0.003641865 0.003804439 0.0035051785 0.004102664 0.0033902377 0.0036874271 0.0037868354 0.0059158304 0.0036242614 0.003341569 0.0029460068 0.004010504 0.003064054 0.0032701192 0.0030392022 0.004976629 0.0031717464 0.003205918 0.0030505927 0.0035849123 0.0028403855 0.0030951193 0.0031883146 0.0045044394 0.0032825454 0.0032204152 0.003137575 0.0038976343 0.003339498 0.0032908295 0.0036284034 0.004617309 0.003293936 0.0034741135 0.0031613915 0.004042605 0.0031903856 0.0034741135 0.003337427 0.00864231 0.0045934925 0.0040125754 0.0035238175 0.0043667173 0.0034368352 0.0030153855 0.003391273 0.004534469 0.003829291 0.002966717 0.00318935 0.0037309183 0.0027989654 0.002851776 0.0029781074 0.0052375756 0.0031997052 0.003504143 0.003030918 0.0036615396 0.0031810661 0.0033136106 0.0032680484 0.0045510367 0.002841421 0.003045415 0.0027026634 0.003514498 0.0032338768 0.002989498 0.003152072 0.0050066584 0.0034109477 0.0032742613 0.0027917167 0.0037754448 0.0030195275 0.0030557702 0.0031821015 0.0041368357 0.0029967465 0.0031220424 0.00301435 0.003643936 0.002843492 0.0029097642 0.0030423086 0.0046680486 0.0031230778 0.0038375752 0.002857989 0.0035683443 0.0031458589 0.002995711 0.0031210068 0.004250741 0.0031427525 0.003335356 0.0031800305 0.003650149 0.00318935 0.003327072 0.0033612435 0.006722487 0.004066421 0.0037298827 0.003337427 0.004113019 0.0032535512 0.0032970423 0.0032245573 0.0043335813 0.0033322496 0.0031189357 0.0030733736 0.003639794 0.00299364 0.0030785513 0.0027927523 0.004250741 0.0032701192 0.0030899418 0.0029977818 0.0037071018 0.0030174565 0.0029418648 0.0029491133 0.0039804745 0.003112723 0.0027357996 0.0026394979 0.003533137 0.002950149 0.0035745574 0.002886983 0.0049517765 0.0032400896 0.003391273 0.0029770718 0.0038199716 0.0030733736 0.003195563 0.0029087288 0.0044392026 0.005453996 0.0034710069 0.0031344683 0.003781658 0.0030713028 0.0032452673 0.003193492 0.004613167 0.003316717 0.0034275157 0.003045415 0.0037433442 0.0030878708 0.0033136106 0.0032411253 0.004349114 0.003032989 0.0031862436 0.002864202 0.0040177526 0.0030930482 0.0042186403 0.0045147943 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 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 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 0.0991693 0.062017422 0.062445056 0.05532299 0.060607523 0.05953403 0.054989696 0.05446202 0.06046031 0.05320192 0.052135687 0.052971777 0.056423437 0.050563544 0.056657214 0.053836375 4022.0 5.705122 22946.0 0.01725791 0.010459339 0.009413405 0.008716116 0.013422819 0.0124640465 0.0118539175 0.011505273 0.012551207 0.009718469 0.008454633 0.008628955 0.013858625 0.010546501 0.011766757 0.0098927915 0.016778523 0.0118539175 0.008716116 0.0074958596 0.009805631 0.008498213 0.007844505 0.008323891 0.010285017 0.008411052 0.0095877275 0.008890439 0.011505273 0.008977599 0.009674889 0.009195503 0.01799878 0.010895145 0.010328597 0.009064761 0.010807984 0.008890439 0.010677243 0.008323891 0.014250849 0.011592435 0.00976205 0.008977599 0.011418113 0.009369825 0.011636015 0.0095877275 0.014773817 0.009631309 0.009936373 0.009239083 0.012115401 0.009369825 0.009631309 0.00976205 0.013684303 0.009282663 0.01050292 0.009544147 0.011113048 0.009849211 0.010372178 0.010677243 0.017955199 0.010982307 0.009718469 0.008193149 0.0130741745 0.00828031 0.009369825 0.008367471 0.015427525 0.009282663 0.008890439 0.008716116 0.011330951 0.007975246 0.009936373 0.007844505 0.013204915 0.0079316655 0.008716116 0.008803277 0.011505273 0.009456986 0.008323891 0.007975246 0.010938725 0.008934019 0.011897499 0.008541794 0.011287371 0.00902118 0.009936373 0.008759697 6.5547247 0.0 0.0 0.0 14.0 965714.0 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: 0.1835134 0.008380248 0.0046629533 0.0037199438 0.009292354 0.0034365111 0.0018842535 0.0020546664 0.0053781574 0.0016997132 0.0020749746 0.0010065835 0.0040316316 0.001566385 0.0012034853 0.0055618146 0.004602912 0.0010860505 0.0014357058 0.00089003163 0.0029446979 0.0036104557 0.00070814026 0.00054479117 0.0026789247 0.00049269607 0.00087325525 0.0016908835 0.0023177906 0.0006851831 0.0006480984 0.00086001074 0.0066796523 0.00073816115 0.0008370536 0.0007620013 0.01186444 0.0014224612 0.0006569281 0.00077701174 0.0016379055 0.0009951048 0.0012529314 0.0016838198 0.0011231352 0.000852947 0.0020255283 0.00061189674 0.0026833394 0.0022136006 0.0016873516 0.11104381 0.0021862285 0.0017986057 0.00140127 0.0014966306 0.002172101 0.0022365577 0.002225079 0.003524808 0.0024996821 0.0020467197 0.0016449692 0.0017968396 0.002280706 0.0014065679 0.000991573 0.001978731 0.0057145683 0.0032307797 0.0023866622 0.0012670589 0.010746602 0.0042823944 0.0010913484 0.000852064 0.0038568038 0.0016078845 0.0015549065 0.0010039345 0.0072968467 0.0031680888 0.0026771587 0.0033464483 0.0027804659 0.0023716518 0.0049887686 0.002723956 0.0009809773 0.001818031 0.00039203773 0.0014171635 0.0013315156 0.0018595305 0.0020758575 0.002146495 0.00081233046 0.0025747344 0.0008617767 0.001760638 0.0031230575 0.0045322743 0.0026745098 0.0013509409 0.012814513 0.0028316781 0.004950801 0.00072315073 0.0028475714 0.0013032607 0.003137185 0.0029782508 0.0026762758 0.0008979784 0.003134536 0.0032555026 0.008834094 0.006850065 0.0011964215 0.00089091464 0.001156688 0.0009650839 0.00042559052 0.0005650995 0.0015858103 0.0011796451 0.0008352876 0.0015107581 0.008506513 0.0017438616 0.001182294 0.012496645 0.0036925718 0.008540066 0.0011858259 0.0007876074 0.0015584383 0.0056483457 0.0015593213 0.015873997 0.0017262022 0.006662876 0.00080968154 0.0007831925 0.0011249011 0.00054479117 0.00167499 0.0016396714 0.0012538144 0.0011849429 0.0007116721 0.00058452477 0.0008352876 0.0035610097 0.00077789475 0.0007284485 0.0010904653 0.0008326387 0.00082910684 0.001100178 0.0010675082 0.0015019284 0.00069224683 0.0010136472 0.0011240181 0.0008140964 0.0007099062 0.0008608937 0.002013167 0.0007522887 0.0007125551 0.0007019595 0.002119123 0.00066399184 0.0006904809 0.0006489814 0.0012705908 0.00070372544 0.000687832 0.00065604516 0.0016732241 0.0010542637 0.0014127486 0.0012140808 0.0016440862 0.0009544883 0.0011231352 0.00078407547 0.001209666 0.0010136472 0.0011328479 0.0015813955 0.006794438 0.001927519 0.0017438616 0.0034894892 0.007590875 0.0009968708 0.0019487102 0.002943815 0.0018215628 0.001705011 0.0034003095 0.0007593524 0.008178932 0.0015840444 0.0006171946 0.0006684067 0.0011460923 0.00075846945 0.0010524978 0.0012714738 0.0006489814 0.0007611183 0.00072491664 0.0012564634 0.0022083027 0.000604833 0.0005280148 0.00086001074 0.0008767871 0.00071961887 0.0005942374 0.00055980164 0.0011805281 0.00061454566 0.00080350076 0.0004291224 0.0012908991 0.0005677484 0.00050770654 0.00046179222 0.012693547 0.0027045307 0.00041676086 0.0027283707 0.002693935 0.0010507317 0.0004264735 0.0006136627 0.0018930832 0.0006154286 0.00069489575 0.0006269072 0.0011293159 0.0008087986 0.0021888774 0.0014445354 0.0032334283 0.0022736425 0.0022056538 0.0016917665 0.0033084808 0.00434067 0.0050629377 0.14014202 0.008126237 0.0 8.83767e-07 1.3256505e-06 3.535068e-06 1.3256505e-06 3.535068e-06 2.2094175e-06 2.2094175e-06 0.0 0.0 8.83767e-07 8.83767e-07 0.0 0.0 1.767534e-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 0.00019442874 4.81653e-05 6.6282523e-06 7.070136e-06 0.0 1.2372738e-05 2.4745475e-05 0.0 1.1488971e-05 4.7723417e-05 2.3861709e-05 2.2977942e-05 4.3304583e-05 0.0 8.83767e-07 0.004986213 0.005612804 2.8280543e-05 1.50240385e-05 3.3141263e-05 3.0931844e-06 3.0931844e-06 1.1930854e-05 7.953903e-05 3.7560098e-05 0.00015421734 4.6397767e-05 9.2795535e-06 0.00015731053 9.721437e-06 4.8607185e-06 0.018228136 0.0144023085 0.00013433259 6.451499e-05 0.0102733495 0.00022094174 7.821338e-05 7.3794545e-05 0.00014361214 0.00022094174 0.0004414416 0.00015951994 6.0538037e-05 0.00049756083 3.8885748e-05 0.00011444782 0.015609534 0.008274268 0.00017498586 9.721437e-05 0.002692838 0.00017277645 9.89819e-05 8.705105e-05 0.00020503394 0.00015819429 0.0003398084 0.00010295885 4.9049067e-05 0.0003857643 9.765625e-05 0.00056340144 0.01002943 0.008942396 0.00018780048 0.00037692662 0.0024820596 0.00033052886 0.0006606158 0.00012902998 0.00037383343 0.00031638858 0.0007176188 0.00039813702 3.7560098e-05 0.00074236427 4.3304583e-05 7.025948e-05 0.013150453 0.02131425 0.00091072184 0.0006539876 0.0035028104 0.0010852659 0.00077108666 0.0019995228 0.0010786375 0.0031731653 0.0010556596 0.00040211398 0.00013565824 0.0014400983 0.00037118213 0.00056649465 0.015837988 0.028526671 0.00048386242 0.0032147022 0.044467177 0.001775046 0.0013296274 0.008732943 0.0045332825 0.003791802 0.002514317 0.0031413496 0.0026676506 0.0023556808 0.00055279623 0.00079627405 0.017813649 0.012368319 0.00027485154 0.0033591983 0.014551665 0.0022023474 0.0013481865 0.00825129 0.0043821586 0.0017167174 0.0015607325 0.0013450934 0.0013079752 0.0010512408 0.00062040443 0.0011732007 0.008740013 0.010211044 0.00031550482 0.0019407523 0.023905013 0.0018541431 0.0013671875 0.0040405826 0.0025885534 0.0026062287 0.0026327418 0.002169648 0.0023441918 0.0023972178 0.00084930006 0.00081173994 0.015079274 0.00815275 0.0010755444 0.0018514917 0.02335089 0.0016720871 0.0014436333 0.0024568723 0.0019244025 0.0022708392 0.0030083428 0.002707862 0.0029473628 0.002317237 0.0017582544 0.0021793693 0.00966134 0.015053202 0.0015682445 0.0018594457 0.0037529164 0.002468361 0.0028015412 0.0023945665 0.0015174279 0.005877934 0.0009381186 0.00089525594 0.0015563136 0.002757353 0.0012147377 0.0020304546 0.0067077912 0.05959329 0.011399268 0.011230027 0.006847868 0.016214473 0.016381947 0.011918039 0.008900859 0.027554087 0.0026415794 0.0024414062 0.0037294966 0.01573989 0.0050441 0.010033406 0.017479585 0.03791449 0.009327277 0.009063914 0.0067829113 0.015996182 0.014989572 0.008930907 0.010045779 0.024925321 0.0022385817 0.0021294365 0.0031205812 0.016172936 0.003830246 0.010726722 0.018375283 0.00021873233 0.00015421734 0.00020724336 0.00013212317 0.00028324733 0.00011886666 0.00023729143 0.00020724336 0.00015112416 0.0001953125 0.00012726245 0.00013963519 0.00014317025 0.00015200792 0.00013698389 0.00011047087 6040.0 12.799503 77309.0 0.056241836 0.00124177 0.0026258263 0.0011900297 0.01424155 0.011201801 0.0010736136 0.0025482157 0.005329263 0.004410871 0.0028974635 0.0015134072 0.0035442186 0.0051223016 0.020916063 0.0030138793 0.011162995 0.016634544 0.010361019 0.055168223 0.010697331 0.008627715 0.0073988796 0.007178983 0.0077610626 0.007786933 0.011551049 0.008343142 0.010309278 0.008420753 0.008239661 0.009067508 0.0034148677 0.005419809 0.0043850006 0.0054974193 0.011822686 0.006803865 0.0036218292 0.0037511804 0.0068168 0.008627715 0.0016686285 0.0017462391 0.0074764905 0.0051352363 0.0056009004 0.0051223016 0.015897244 0.0072565936 0.00919686 0.015418645 0.00996003 0.0076317117 0.010503305 0.008873481 0.002845723 0.0018885253 0.0010994839 0.0034148677 0.0034795431 0.0036218292 0.0035312835 0.009002833 0.002341254 0.026426418 0.007023762 0.016518129 0.023115031 0.04943797 0.012792818 0.012055517 0.015121137 0.029880092 0.005290458 0.0047342484 0.020916063 0.011628659 0.033644207 0.030979576 0.016104205 0.002108422 0.02901344 0.029854221 0.036231227 0.015341034 0.005911343 0.0043591303 0.005057626 0.0061700447 0.0014228615 0.0010089382 0.0027681123 0.0013064456 0.0010218732 0.004061623 5.9815636 0.0 0.0 0.0 3.0 1132544.0 1458176.0 1.0 0.0 252.0 1.0 1.0 0.0 0.0 0.0 1362116100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13.0 17.0 8.0 0.0 5.0 0.0 5.0 0.0 522752.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -44544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -522752.0 0.0 464896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.052266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4720483 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7951252 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5522923 0.0 3.8225975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86934.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -324856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -522591.0 0.0 464512.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 -3.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 -2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 -1.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 -1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 609764.0 464512.0 946176.0 0.0 0.0 0.0 0.0 35000.0 1413120.0 28.0 529552.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 605552.0 0.0 0.0 1064.0 528384.0 0.0 0.0 0.0 0.0


Input: 0.1672391 0.0100585185 0.006649157 0.0044339737 0.015076954 0.00264451 0.0031135227 0.003005289 0.010000793 0.007110954 0.0067068813 0.0065084533 0.011750571 0.0047298125 0.0010859448 0.0037557094 0.011029013 0.0012482953 0.0017028769 0.00073959696 0.0069810734 0.0065697855 0.0007684593 0.0005808542 0.007006328 0.00044736595 0.0005483841 0.0013817835 0.0048200074 0.001854404 0.0013709601 0.002251261 0.007352676 0.0010534746 0.0011905706 0.001132846 0.056454696 0.0024569049 0.0005880698 0.0010570824 0.0037160236 0.0003968569 0.0006061087 0.0016523678 0.0031063072 0.0009632799 0.0007504203 0.0006277555 0.003160424 0.00048705164 0.0032073252 0.003744886 0.0030305434 0.0006025009 0.0004004647 0.0003643868 0.0026228633 0.0006061087 0.00044015038 0.0028970554 0.0028826243 0.0012122174 0.00051952177 0.0005267373 0.0034021458 0.001493625 0.0007864982 0.00076485146 0.020542756 0.0020384013 0.0026841958 0.0007684593 0.0026409023 0.0005808542 0.00048705164 0.00065301 0.01826624 0.0037990029 0.0028970554 0.0094199395 0.017259667 0.009888953 0.011093954 0.007316598 0.006703274 0.0029150944 0.006818723 0.004203075 0.0018976975 0.0006133243 0.0003968569 0.0018111105 0.0033552446 0.001735347 0.004549423 0.002557923 0.0013529212 0.00026697645 0.00019482066 0.00030666214 0.00883187 0.000429327 0.0007828904 0.0002561531 0.012998867 0.00036799457 0.013442625 0.00052312954 0.002045617 0.0005880698 0.00047262048 0.00037160236 0.0014322926 0.0003968569 0.00040407246 0.0003571712 0.007929922 0.0031965019 0.00065301 0.0003535634 0.0015766042 0.00044736595 0.0005736386 0.00040407246 0.0028970554 0.0010065734 0.0009704955 0.0005375607 0.0016704068 0.001940991 0.0003247011 0.010801723 0.0063821804 0.006133243 0.0021754974 0.0003968569 0.0027563516 0.0158851 0.0012591187 0.045891088 0.0019085209 0.026813095 0.0037484937 0.00046901268 0.04161586 0.0004004647 0.00034995563 0.00045458155 0.0011941785 0.0006890879 0.00091277086 0.0003571712 0.0007504203 0.0004004647 0.00027419205 0.00027058425 0.0013529212 0.00029223098 0.0010859448 0.00022007519 0.000790106 0.0037340627 0.0002850154 0.0003643868 0.001219433 0.00066383334 0.00024893752 0.00027779982 0.0008225761 0.00024532972 0.0005014828 0.0007828904 0.00088030077 0.00025976088 0.00052312954 0.0004329348 0.00095245655 0.00027419205 0.00028862318 0.00048344384 0.001082337 0.00031387774 0.00023450634 0.00031387774 0.0016126821 0.0012158252 0.00032830887 0.00038242573 0.0008875163 0.00038603353 0.0009488487 0.00041850362 0.007009936 0.0019482066 0.004672088 0.0036150054 0.00715064 0.0006097165 0.011386185 0.0074464786 0.0022440453 0.00089112413 0.00065661775 0.0010967682 0.0023198088 0.0011184149 0.0029475645 0.0020853025 0.00093802536 0.00081896834 0.0005628152 0.00083700725 0.00067826454 0.0007937138 0.00087669294 0.0018868741 0.0013962147 0.00053034513 0.00027419205 0.0008875163 0.0006277555 0.0002561531 0.00026336865 0.00028862318 0.0008694774 0.000721558 0.00033552447 0.00023450634 0.0007468125 0.00029944658 0.00025976088 0.00024532972 0.028342798 0.001785856 0.00029944658 0.0018291496 0.0026084322 0.0005086984 0.00029583878 0.0002561531 0.0015044484 0.0028393306 0.0003571712 0.0017750326 0.0006746567 0.00030305434 0.0014359003 0.00069630344 0.002767175 0.0006890879 0.00069991127 0.0005375607 0.001854404 0.0008225761 0.001064298 0.028202094 0.007434944 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003220115 0.0001488441 3.9933784e-05 1.2706204e-05 5.2639985e-05 2.3597235e-05 6.716136e-05 3.811861e-05 3.6303438e-06 5.445516e-06 5.445516e-06 1.0891032e-05 1.2706204e-05 6.534619e-05 3.6303438e-06 7.2606877e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002415994 8.894342e-05 0.00013432272 5.0824816e-05 0.00012161652 9.6204116e-05 6.353102e-05 3.6303438e-05 0.00026501511 9.6204116e-05 1.2706204e-05 3.6303438e-06 0.00010527997 4.9009643e-05 7.2606876e-05 0.00010527997 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035395853 0.0003503282 0.0005046178 0.00018333236 0.0006480164 0.0008730977 0.00040478335 0.00030857924 0.0016391003 0.0010328328 0.00010164963 8.894342e-05 0.00070791703 0.0001488441 0.00029950336 0.00032128542 0.16907963 0.03162211 0.054230075 0.016184073 0.045027155 0.05163075 0.027710415 0.014570385 0.08489014 0.03193795 0.0075765275 0.006238746 0.03694964 0.0072788396 0.025878906 0.028599849 0.07725735 0.01694463 0.028175099 0.010270243 0.025490459 0.030718155 0.015044145 0.008197317 0.04190506 0.017795946 0.004329185 0.0037737424 0.019585704 0.0043328153 0.01345587 0.017296772 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 910.0 5.714286 5200.0 0.035192307 0.0011538462 0.00038461538 0.0076923077 0.1325 0.0032692307 0.00038461538 0.0034615383 0.019423077 0.0 0.0005769231 0.0025 0.0125 0.0005769231 0.0013461538 0.0 0.011153846 0.00038461538 0.009038461 0.0048076925 0.0088461535 0.0017307692 0.00019230769 0.0017307692 0.01 0.0017307692 0.0011538462 0.0019230769 0.0073076924 0.00038461538 0.0015384615 0.0044230768 0.0071153846 0.00096153846 0.0025 0.0015384615 0.038846154 0.0005769231 0.0051923078 0.00096153846 0.006346154 0.0015384615 0.0019230769 0.0 0.048076924 0.0005769231 0.0036538462 0.0038461538 0.062307693 0.044038463 0.076153845 0.044038463 0.031923078 0.017692307 0.02 0.018846154 0.0040384615 0.0023076923 0.00076923077 0.014230769 0.0051923078 0.018076923 0.0275 0.021346154 0.0040384615 0.0011538462 0.00038461538 0.00096153846 0.038076922 0.00076923077 0.00038461538 0.00019230769 0.065192305 0.00076923077 0.028461538 0.00038461538 0.0042307694 0.00038461538 0.0011538462 0.00076923077 0.006346154 0.0 0.0011538462 0.00038461538 0.0067307693 0.0026923076 0.0 0.00019230769 0.0021153847 0.00038461538 0.0 0.00019230769 0.011153846 0.0005769231 0.00076923077 0.0005769231 5.0387883 0.0 0.0 0.0 1.0 277178.0 2150400.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1446531500.0 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 983040.0 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 200704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -983040.0 0.0 884736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2103376 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -76052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -982531.0 0.0 882136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1992.0 1185744.0 480.0 1166944.0 882136.0 1265664.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 991600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4452.0 987136.0 0.0 0.0 0.0 0.0


Input: 0.056557313 0.008293516 0.0061679534 0.005648188 0.005752554 0.0049599893 0.0041984245 0.0054218885 0.0050478224 0.005620288 0.0037499587 0.0044588237 0.004946556 0.0031764598 0.004325524 0.0046355235 0.005042656 0.0037582254 0.0049413894 0.004162258 0.0043616905 0.0031764598 0.0041054245 0.0038367584 0.0050819223 0.0033531594 0.0031650933 0.002930527 0.0041488246 0.0034347926 0.0037881918 0.0037943919 0.0061772536 0.0038191918 0.003488526 0.0030193937 0.0048845564 0.004160191 0.0038408919 0.0037210253 0.0047316235 0.003897725 0.0033376596 0.0031041268 0.0043637576 0.0037137922 0.0037241254 0.003585659 0.0055283215 0.003953525 0.0030937933 0.0028953939 0.0036807256 0.0030824267 0.0026918275 0.0028726605 0.0041715577 0.0033128597 0.0035143592 0.0033500595 0.0040062247 0.0032281266 0.0035029924 0.0034616592 0.0065988526 0.0039638584 0.0036269922 0.0032260597 0.0041643246 0.0032167598 0.003536059 0.00306796 0.0049940892 0.0037768253 0.0037075921 0.003585659 0.0041426243 0.0031247933 0.0035629256 0.0034626927 0.0051635555 0.0036238923 0.0036538588 0.0033335262 0.003928725 0.003386226 0.0033624596 0.003538126 0.004652057 0.0036507589 0.0038078253 0.003507126 0.004103358 0.003378993 0.0036869254 0.003781992 0.005907554 0.003632159 0.0033397262 0.0029573936 0.004016558 0.0030503934 0.003276693 0.0030307602 0.004971356 0.00316406 0.0031940264 0.0030545269 0.003576359 0.0028509605 0.0030999933 0.0031919598 0.0045084236 0.0032849596 0.0032260597 0.0031413266 0.0038863583 0.0033304263 0.0032901263 0.003625959 0.0046272567 0.003292193 0.003473026 0.0031764598 0.0040372247 0.0031981599 0.0034626927 0.0033448928 0.0086324485 0.0045983237 0.004012425 0.003526759 0.0043637576 0.0034461594 0.0030224936 0.0033934594 0.004549757 0.0038367584 0.0029687604 0.0031785266 0.0037272254 0.002799294 0.0028447607 0.0029852937 0.0052224556 0.0032095264 0.003491626 0.0030224936 0.0036734922 0.0031867933 0.0033118264 0.0032694596 0.00454149 0.0028385606 0.00304316 0.0026969942 0.003511259 0.0032301932 0.002983227 0.0031557933 0.005012689 0.0034151594 0.0032694596 0.002799294 0.003772692 0.003014227 0.0030545269 0.0031857598 0.0041333246 0.0029966603 0.0031247933 0.0030162935 0.0036517922 0.0028385606 0.0029201938 0.0030421268 0.004663423 0.00311756 0.0038439918 0.0028499272 0.0035618923 0.0031609598 0.0029821936 0.00313306 0.0042593908 0.0031526934 0.0033345595 0.00317956 0.0036528255 0.00319506 0.0033283595 0.0033417928 0.0067073526 0.004063058 0.0037272254 0.0033376596 0.004122991 0.0032570597 0.0033066596 0.0032322598 0.004325524 0.003332493 0.0031227267 0.0030710602 0.0036352589 0.0029821936 0.0030793268 0.002796194 0.0042552575 0.0032777262 0.0031010266 0.003004927 0.0037127587 0.0030245602 0.0029387937 0.0029470604 0.003969025 0.0031196268 0.0027341943 0.0026391277 0.0035350258 0.0029480937 0.0035897924 0.0028788606 0.004943456 0.003248793 0.0033944927 0.002970827 0.0038119585 0.0030731268 0.003202293 0.002908827 0.0044505573 0.0054528886 0.0034750926 0.0031309933 0.0037964585 0.0030937933 0.0032436263 0.0031785266 0.0046034902 0.0033242262 0.0034120593 0.0030421268 0.0037427254 0.0030948268 0.0033252595 0.0032415597 0.004349291 0.0030483268 0.0031816266 0.0028571605 0.0040175915 0.0031030935 0.004225291 0.0045053237 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004570395 0.00029172737 0.00027310647 0.000265865 0.00030517578 0.00023793367 0.00032896915 0.00030362405 0.00032534843 0.00035121077 0.00032431394 0.00035276252 0.0005182816 0.00015724312 0.0001877607 0.0007401806 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09908126 0.062032927 0.06245086 0.055346992 0.060631704 0.059544966 0.054984916 0.05448112 0.06048015 0.053177655 0.052161265 0.05297179 0.056430105 0.050599698 0.056683037 0.0538568 4041.0 5.7027965 23045.0 0.017227164 0.010544587 0.009459753 0.008591886 0.013495335 0.012453894 0.011846388 0.011499241 0.012540681 0.009763506 0.008548492 0.008808852 0.013799089 0.010501193 0.0117162075 0.00993708 0.01666305 0.011933174 0.008722066 0.0075070513 0.0098936865 0.008591886 0.007940985 0.008374918 0.01019744 0.008461705 0.009589933 0.008895639 0.011412454 0.009025819 0.009589933 0.009329572 0.018181818 0.0108049465 0.010371014 0.009025819 0.010891734 0.008808852 0.01071816 0.008288132 0.014233022 0.01162942 0.009720113 0.008982426 0.011499241 0.009329572 0.01162942 0.00954654 0.014710349 0.00954654 0.00993708 0.009069213 0.012106747 0.0094163595 0.009503146 0.009806899 0.013668909 0.009329572 0.010544587 0.009503146 0.0111087 0.009763506 0.010371014 0.010631373 0.017878065 0.01097852 0.009633326 0.008157952 0.013018008 0.008201345 0.009329572 0.008288132 0.015361249 0.009242786 0.008895639 0.008678672 0.011412454 0.008157952 0.01006726 0.007810805 0.013104795 0.007984378 0.008678672 0.008765459 0.011412454 0.0094163595 0.008374918 0.007984378 0.011152093 0.008808852 0.011933174 0.0085050985 0.011412454 0.008982426 0.01006726 0.008765459 6.554862 0.0 0.0 0.0 14.0 967744.0 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: 0.6429243 0.0033404534 0.0011875768 0.0018918414 0.0014734566 0.00075229764 0.0007314281 0.0012220282 0.0016311377 0.0005247202 0.0007108898 0.0006406621 0.0009643058 0.00065987534 0.0014718003 0.0011617384 0.00208033 0.0011481566 0.00095569296 0.00055320875 0.0006227739 0.0020041394 0.0005730845 0.0005545338 0.00079933694 0.0006131673 0.0006353619 0.00052737026 0.00076720444 0.0006234364 0.00060256687 0.0010070386 0.0019743259 0.00073871587 0.000547246 0.00063569314 0.000846045 0.00072314654 0.0005412833 0.00061747374 0.00097225606 0.00056645926 0.0006287366 0.0005959416 0.0006883639 0.000663188 0.0006452998 0.00057540333 0.0010245956 0.0007257966 0.0007340782 0.0012578046 0.0007917179 0.00063138676 0.0006320493 0.0005631466 0.0007549477 0.0006820699 0.0006095234 0.0007837676 0.00064794987 0.0005856725 0.00047701833 0.00090335344 0.0041603283 0.000833457 0.000820869 0.00065424386 0.0007665419 0.0018653404 0.0006906828 0.00055950275 0.0007519664 0.00064563105 0.0007377221 0.0006734571 0.00071751507 0.0017407855 0.00073739083 0.0006939954 0.0026981349 0.0015151957 0.0015430218 0.0010342022 0.0008231879 0.001287287 0.001112049 0.0010216142 0.00081623136 0.0005959416 0.0007407034 0.00068107614 0.0008380947 0.0009060035 0.00084140734 0.0010143265 0.0012422352 0.0012693987 0.00075859163 0.0007917179 0.0011170179 0.0012965623 0.0013021937 0.0008652582 0.0018146572 0.0009934569 0.0016622763 0.0008089436 0.0012876182 0.0010954859 0.0012614485 0.0011117177 0.0010978046 0.00083279447 0.0013071627 0.0010183016 0.0014933323 0.0013489018 0.00091991655 0.00091494765 0.0012942435 0.0008672458 0.0009874941 0.0008231879 0.0010832291 0.0014005788 0.0008685709 0.0011170179 0.0021538702 0.001003726 0.0009036847 0.0015632288 0.0009576805 0.0020054644 0.0008997095 0.00083445077 0.0013485706 0.0030986315 0.00088910916 0.00404273 0.0010613657 0.0038764363 0.0008785087 0.00092356047 0.0017490672 0.0011034361 0.0010209517 0.0009334983 0.0010454651 0.0013929597 0.0012776803 0.00094575505 0.0010000821 0.0014565622 0.00095999934 0.0008997095 0.0010802477 0.0009560242 0.0008559829 0.0010159827 0.0011872456 0.0010891919 0.0010116764 0.0009825252 0.0012319661 0.001002401 0.0009941194 0.0010259206 0.0012346162 0.0010398336 0.0011173491 0.0011898957 0.00126973 0.0010183016 0.0010328771 0.0011206617 0.00123561 0.0010004134 0.0010179704 0.000997432 0.0012256721 0.0011465002 0.0011080737 0.0010630221 0.0013807031 0.0012525043 0.0011067487 0.0010593781 0.0013691088 0.001157432 0.0010696474 0.0010795852 0.0023701848 0.0011421939 0.0012392538 0.0012713863 0.0013568521 0.0010726287 0.0011630635 0.0015085704 0.0013853407 0.0011011172 0.001183933 0.0011170179 0.0016990465 0.0010282395 0.0010454651 0.0013608272 0.0013273697 0.0010669972 0.00090799114 0.0011935396 0.0014608686 0.001074285 0.0012299785 0.001326376 0.001230641 0.0011226494 0.0011673698 0.0015509721 0.0017580113 0.0011080737 0.0012578046 0.001182608 0.002149895 0.0012644298 0.0016592949 0.0012717176 0.0013492331 0.0012578046 0.0012034775 0.0011773077 0.0014976388 0.0012110965 0.0011531255 0.0013330012 0.0017030217 0.0012412415 0.0012905996 0.0012915933 0.0019213238 0.0012776803 0.0011971835 0.0012011586 0.0013432703 0.001185258 0.001178964 0.0013078252 0.0018898539 0.0012097715 0.0011597507 0.0013127942 0.0018752783 0.0016596263 0.0029051742 0.06466613 0.40108055 1.3255005e-06 4.970627e-07 3.3137513e-07 3.3137513e-07 1.6568757e-07 0.0 4.970627e-07 3.3137513e-07 0.0 3.3137513e-07 1.6568757e-07 6.6275027e-07 3.3137513e-07 0.0 3.3137513e-07 0.0006287843 1.3255005e-06 8.284378e-07 1.4911881e-06 1.6568757e-07 6.6275027e-07 8.284378e-07 6.6275027e-07 1.9882507e-06 1.6568757e-07 6.6275027e-07 1.6568757e-07 2.1539383e-06 0.0 8.284378e-07 3.7942453e-05 0.0024720584 1.4249131e-05 1.1763817e-05 1.7065819e-05 6.6275024e-06 9.7755665e-06 1.7231507e-05 9.609878e-06 1.0604004e-05 8.118691e-06 9.112816e-06 3.9765014e-06 7.621628e-06 4.639252e-06 5.633377e-06 0.0001065371 0.002064467 1.3752067e-05 3.5788515e-05 8.781441e-06 5.252296e-05 2.651001e-06 1.6403068e-05 2.6178635e-05 1.4083443e-05 1.07696915e-05 1.772857e-05 1.1101067e-05 1.1763817e-05 3.4794389e-06 5.46769e-06 8.035847e-05 0.0061942297 5.3185708e-05 5.7162208e-05 4.3244454e-05 0.00011482148 3.8439513e-05 0.000107199856 0.000109353794 7.141134e-05 3.6119887e-05 3.8439513e-05 3.2474763e-05 3.4131637e-05 2.2699196e-05 3.545714e-05 0.0004768488 0.00802342 0.0001105136 9.8418415e-05 0.00015061 0.00011830092 0.0001279108 0.00021357127 0.00013735499 8.0027094e-05 7.853591e-05 7.737609e-05 8.6820284e-05 8.847716e-05 4.705527e-05 8.1021215e-05 0.00066043064 0.013801442 0.00017662294 0.00023825871 0.00021241145 0.00034313893 0.00017629156 0.0003075161 0.0003943364 0.0003413164 0.00020727514 0.00022235271 0.00022284978 0.0002758698 0.00019915645 0.00025946673 0.0016240695 0.020496711 0.0004407289 0.0005509111 0.00042714254 0.00063077256 0.00038025295 0.0006485011 0.00057211914 0.0004944117 0.00041604147 0.00047883706 0.00038688045 0.0005630063 0.00043940343 0.00053898164 0.0027355016 0.026342168 0.00057311327 0.000692574 0.000660762 0.00056714856 0.0005994576 0.0011434099 0.0010163275 0.00090912764 0.0009314955 0.0009692722 0.0008504743 0.0009661242 0.00090912764 0.0010575837 0.0066031464 0.035346292 0.0010323992 0.0014373396 0.001202726 0.0013490282 0.0013897873 0.0023212829 0.0019208159 0.0015506699 0.0014081786 0.0013626146 0.0013606263 0.0015869555 0.0014164629 0.0019155139 0.009568291 0.040620625 0.0013871363 0.0018228946 0.0016585325 0.0016684738 0.001673113 0.0026287988 0.0025973183 0.0021862474 0.0022503685 0.002159903 0.0023292357 0.0027078318 0.0028208308 0.0032834304 0.01337662 0.044286296 0.0018238887 0.002127097 0.0021093683 0.0022447351 0.0025499316 0.003143093 0.0032738205 0.0033992461 0.003633197 0.003651257 0.0036295517 0.0041594207 0.004103418 0.0048466926 0.016889362 0.031279825 0.0018245515 0.0017113868 0.0018933117 0.0022985835 0.0025558963 0.0029089765 0.0032095339 0.0040689553 0.0035268255 0.0041073947 0.004195209 0.0043683527 0.0039880998 0.0044465573 0.014895809 0.019473424 0.0034918655 0.0018099709 0.0019068982 0.0040651443 0.00419786 0.0029441023 0.002532203 0.007675642 0.003269844 0.0030213126 0.0032955257 0.0039774957 0.0036280607 0.0035304707 0.013636915 0.00889328 0.0030665454 0.0012708236 0.0014497662 0.0035586376 0.003671968 0.0021787914 0.0015011294 0.0055700843 0.0018397947 0.0013288143 0.0017829639 0.0022412557 0.0023123357 0.0019730076 0.0065633813 0.00021555951 5.5339646e-05 9.19566e-05 6.478384e-05 3.264045e-05 9.775566e-05 9.891547e-05 7.356528e-05 7.240546e-05 8.11869e-05 0.00010703417 8.6654596e-05 5.8156336e-05 7.687903e-05 8.0855534e-05 6.362402e-05 2847.0 9.4492445 26902.0 0.034830123 0.002787897 0.0030852724 0.004014571 0.015872426 0.0032711322 0.0023046613 0.0028622407 0.009330161 0.0036056798 0.008623894 0.005092558 0.0027507248 0.0028250688 0.0055014496 0.008103487 0.0072113597 0.010631179 0.011932198 0.013196045 0.0075087356 0.005204074 0.005947513 0.006059029 0.0072485316 0.0053155897 0.0073600477 0.0038658837 0.005389934 0.0027507248 0.0029737565 0.0046093226 0.0033454762 0.0072113597 0.007657423 0.010631179 0.006802468 0.005575794 0.0075459075 0.0053155897 0.0076202513 0.008623894 0.004014571 0.004423463 0.010482492 0.013121701 0.012080886 0.007322876 0.007954799 0.0051297303 0.010556836 0.027395733 0.007694595 0.005352762 0.008809754 0.0047580106 0.012749981 0.004014571 0.007322876 0.0068768123 0.0056129657 0.007174188 0.0073972195 0.024421977 0.0063564046 0.04326816 0.01784254 0.014794439 0.021931455 0.0402944 0.011448963 0.014943127 0.0065422645 0.02944019 0.007322876 0.0073600477 0.022451863 0.015798083 0.02185711 0.022117315 0.018883355 0.0075459075 0.03155899 0.01862315 0.037618022 0.018288603 0.01423686 0.0054642777 0.01843729 0.006207717 0.0074343914 0.0038287116 0.0020444577 0.004497807 0.001747082 0.0027507248 6.178732 0.0 0.0 0.0 2.0 3018752.0 3043328.0 0.0 0.0 118.0 0.0 1.0 0.0 0.0 0.0 1541131400.0 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 2981888.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2981888.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4713528 0.0 5.502993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27716.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2979552.0 0.0 27812.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2981092.0 27812.0 3014656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 560.0 556.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.030527655 0.016676806 0.019620469 0.014126028 0.01699552 0.012523326 0.015726043 0.011451095 0.014592541 0.010809908 0.0136154415 0.010195054 0.012825915 0.009651146 0.012409922 0.00927385 0.011735411 0.0088901045 0.011222675 0.00848701 0.010778734 0.008114015 0.010356292 0.007857647 0.010020918 0.0075469953 0.009632872 0.0074400413 0.009389942 0.0071358397 0.00924644 0.007017061 0.00889763 0.00680369 0.008710594 0.006531736 0.0083612455 0.006381785 0.008219357 0.0061775506 0.008005448 0.0060824202 0.007843135 0.0059287073 0.00739167 0.005709424 0.0074185426 0.0055492613 0.0071326145 0.0054041473 0.007005237 0.005379962 0.0068934457 0.0051735775 0.006719309 0.0050725355 0.0065419474 0.0050547994 0.006408658 0.00494247 0.006234521 0.00475221 0.0061399285 0.004637194 0.0059797657 0.004609246 0.005980841 0.004499067 0.0057330723 0.0044786436 0.0055105644 0.0042969827 0.005425108 0.004234637 0.0053810365 0.004139507 0.005183252 0.004057276 0.0050741476 0.0039680577 0.0050859717 0.003930973 0.0049225846 0.0037863967 0.0048253043 0.0037627486 0.0047586598 0.003592374 0.0047188876 0.0036256965 0.004545826 0.0035225046 0.004369002 0.0034784328 0.0044544577 0.0033886773 0.004410924 0.0033123582 0.0041669174 0.0031683191 0.0041776667 0.0031312346 0.004078237 0.003078026 0.0039540837 0.0030366417 0.0038568038 0.0029554856 0.0038578787 0.0029662347 0.0037229767 0.0029006647 0.0036090354 0.0028383196 0.0035461527 0.0027464142 0.003477358 0.0025814143 0.003474133 0.0025690526 0.0033435307 0.0025577662 0.0032312018 0.002514232 0.003208091 0.0024567237 0.0032166904 0.0023798672 0.0031382216 0.0023739552 0.0030608275 0.0022277664 0.002974834 0.0022336785 0.0029124888 0.0022438902 0.002943124 0.0021686458 0.0027582382 0.002149835 0.0026410723 0.00208319 0.0026120495 0.0020509425 0.0025325054 0.0019912845 0.0024164144 0.0019542 0.0024373753 0.0018966919 0.0023997533 0.0018128483 0.0023497695 0.0018042489 0.0022992485 0.0017892001 0.0022713006 0.0017779134 0.002195519 0.0016908451 0.0021390857 0.0016860081 0.0020697536 0.0015903404 0.0020466428 0.0015285326 0.0019923595 0.0014704871 0.0019407634 0.0014914479 0.0018542326 0.0014339399 0.0017832881 0.0014221158 0.0017612523 0.0013463341 0.0017558776 0.0013103244 0.0016677345 0.0013500963 0.0016419364 0.0012753896 0.0016037768 0.0012495916 0.0015312199 0.0011797219 0.0014334024 0.0011426372 0.0014763991 0.0011662855 0.0013947054 0.0010593311 0.0013382722 0.0010819044 0.0012856013 0.0010421325 0.0012673277 0.0009335658 0.0012092821 0.0009862367 0.0011367252 0.00092926616 0.0011372627 0.0008567092 0.0011206014 0.00083091116 0.0010394452 0.00084596005 0.001101253 0.0007739406 0.0009738752 0.0007449178 0.0009427026 0.00074868 0.0008894942 0.0007562044 0.00090078084 0.00093786546 0.0008067255 0.00063796353 0.0007723282 0.0006073284 0.00077017833 0.0005998039 0.000735781 0.000534234 0.00068418495 0.00053208414 0.00062291464 0.0005019864 0.00060195377 0.00046597671 0.00052670954 0.00046113957 0.00051488547 0.000501449 0.0004869376 0.00042889206 0.00043050444 0.0004310419 0.00036009736 0.00037407127 0.00037192143 0.00030957622 0.00035633513 0.0002810909 0.00031871302 0.00026120493 0.00026496715 0.00021229619 0.00028324075 0.00020745907 0.00021068382 0.00017198679 0.0001483386 0.00017359917 0.0038546256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010287247 4.570915e-06 3.7642828e-06 3.2265282e-06 4.839792e-06 4.570915e-06 5.1086695e-06 3.4954055e-06 6.184179e-06 3.4954055e-06 4.839792e-06 6.7219335e-06 4.3020373e-06 4.3020373e-06 6.990811e-06 6.184179e-06 0.0004939277 8.6040745e-06 5.3775466e-06 1.0755093e-06 6.184179e-06 3.2265282e-06 1.04862165e-05 4.839792e-06 1.8821414e-06 2.1510186e-06 1.8821414e-06 2.419896e-06 1.6132641e-06 2.1510186e-06 2.1510186e-06 2.6887733e-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 0.00044552976 8.872952e-06 1.04862165e-05 7.5285657e-06 5.3775466e-06 6.990811e-06 6.7219335e-06 2.8232122e-05 4.3020373e-06 8.0663204e-07 2.6887733e-06 2.6887733e-06 1.8821414e-06 1.6132641e-06 3.2265282e-06 1.37127445e-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 0.0004022405 1.8821414e-06 8.6040745e-06 5.646424e-06 5.3775466e-06 1.0217339e-05 1.1292848e-05 8.335198e-06 2.2047941e-05 1.4788254e-05 1.6670396e-05 1.2906113e-05 1.4788254e-05 1.1561726e-05 4.03316e-06 2.6887733e-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 0.00032829924 9.679584e-06 1.4250499e-05 1.04862165e-05 7.5285657e-06 1.1830603e-05 1.2637235e-05 3.4147422e-05 2.8500997e-05 1.0755093e-05 1.1830603e-05 9.679584e-06 1.04862165e-05 7.797443e-06 1.1830603e-05 3.0920895e-05 0.0005796995 1.2368358e-05 2.2585697e-05 1.4788254e-05 1.4250499e-05 6.211067e-05 2.0434678e-05 2.0972433e-05 0.00012072593 5.0011186e-05 1.37127445e-05 1.9359168e-05 2.6349979e-05 6.748821e-05 2.2585697e-05 3.3878547e-05 0.0007923815 4.9204555e-05 4.3020373e-05 4.3827007e-05 3.925609e-05 4.0062725e-05 5.7001995e-05 4.248262e-05 0.00011023971 4.4633638e-05 3.5760688e-05 3.7911705e-05 3.629844e-05 0.00016562844 5.7001995e-05 5.7270874e-05 0.0007394127 4.759129e-05 5.243108e-05 5.135557e-05 4.839792e-05 5.135557e-05 6.157291e-05 4.86668e-05 6.6143824e-05 5.5388733e-05 5.753975e-05 5.780863e-05 5.753975e-05 0.00013390092 6.211067e-05 6.076628e-05 0.2197056 0.14249396 0.111765854 0.091010675 0.07637246 0.06420737 0.054259446 0.045484096 0.037980538 0.031272046 0.025410254 0.019915476 0.014895267 0.01035124 0.006041136 0.0020284106 0.00022800798 0.00014304275 0.000116423886 9.948461e-05 9.061166e-05 7.582341e-05 6.345505e-05 5.942189e-05 4.4633638e-05 4.651578e-05 3.549181e-05 2.8769875e-05 2.6618856e-05 1.8821414e-05 1.3174989e-05 1.1023971e-05 0.0022660983 0.0021243999 0.001994532 0.0022717447 0.0019689887 0.0023118074 0.002273358 0.0020160424 0.0021994167 0.0021260132 0.0019719463 0.0021475232 0.001970333 0.0022018366 0.0022373283 0.0020596003 20993.0 5.8885818 123619.0 0.019212257 0.014827818 0.019859407 0.013816646 0.01814446 0.0139056295 0.017545847 0.013452625 0.018128281 0.013339373 0.017699545 0.013096692 0.016639836 0.0126275085 0.01659939 0.0121178785 0.015677202 0.0121502355 0.0153698055 0.0119641805 0.01531318 0.011082439 0.014479975 0.010993456 0.014204936 0.011025813 0.013792378 0.010904472 0.013784288 0.009974195 0.013177586 0.009852855 0.012829743 0.010208786 0.012773117 0.009674888 0.012465721 0.009343224 0.012077431 0.009634442 0.01209361 0.008817415 0.01197227 0.0090520065 0.011559712 0.008412946 0.011389835 0.008526198 0.011389835 0.008696075 0.010726507 0.008121729 0.010613255 0.007692992 0.010831668 0.007692992 0.010580897 0.008032746 0.010435289 0.007919495 0.009707246 0.007515026 0.009715335 0.007029664 0.009116721 0.0070215743 0.008914487 0.007029664 0.00901156 0.0066171056 0.009173347 0.0068112505 0.008785057 0.006333978 0.00862327 0.006600927 0.008590912 0.0066737314 0.008073193 0.006236905 0.008008477 0.005994224 0.007660635 0.0058243475 0.0075878305 0.0058081686 0.0082511585 0.005468415 0.007385596 0.0055654873 0.0068274294 0.005605934 0.0067869825 0.005427968 0.006738446 0.0051529296 6.5059237 1.0 0.0 0.0 24.0 1860608.0 90112.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1195581200.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0071106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9874797 0.0 4.9739585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61600.0 0.0 12288.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73.0 86016.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0