Input: 0.16506636 0.0034658217 0.007896505 0.0028003792 0.010010441 0.0068380376 0.0023851527 0.0021193356 0.016771073 0.0021073348 0.0016639065 0.0015853015 0.006883641 0.0011016706 0.0007020449 0.0011040707 0.003483223 0.0004986319 0.0016105031 0.0025225615 0.0035066244 0.0024787586 0.00085985503 0.00039902554 0.0017203101 0.00038522464 0.00051963323 0.00041822676 0.0012672811 0.00036782355 0.0022267425 0.0004296275 0.0047751055 0.00039482527 0.00046863 0.00036482335 0.0030511953 0.002514161 0.00044822867 0.0004362279 0.0014040899 0.0005514353 0.00061623944 0.00040382583 0.001625504 0.0005640361 0.0018253168 0.00040682603 0.0034712222 0.0023311493 0.0027283747 0.002124736 0.0028399818 0.0016669066 0.0017005089 0.0015871016 0.0026071668 0.0015012961 0.0029449884 0.0016399049 0.0048981137 0.0016195036 0.0019069221 0.0015234975 0.014286314 0.0017761136 0.0015060963 0.003766441 0.0041618664 0.0067180297 0.0020983343 0.0007668491 0.0014982959 0.0014928955 0.0004794307 0.00093485985 0.0021487374 0.0063670073 0.0023353496 0.003470022 0.011391129 0.007264065 0.007607287 0.005565356 0.0034664217 0.004812908 0.0012756817 0.0008460542 0.0014886953 0.0052701375 0.0007278466 0.00056763634 0.0014034898 0.0013542867 0.0004962318 0.0020881337 0.0012810819 0.011009505 0.0027991792 0.0048321094 0.009511809 0.020737328 0.006361607 0.0030733966 0.0059463806 0.012626008 0.006787034 0.001923123 0.011167915 0.00515373 0.010524673 0.008980774 0.0058059716 0.0032120056 0.01311624 0.007670291 0.01531058 0.004982119 0.00296959 0.0010350662 0.0036188315 0.0019267233 0.002436156 0.00076444895 0.0015979023 0.0007242464 0.00060423865 0.000499832 0.002392353 0.00076024863 0.00062223984 0.014835949 0.0027895786 0.01781874 0.0005250336 0.00045422907 0.0040682605 0.0050367224 0.00071344565 0.021972205 0.0016303044 0.022539843 0.0005136329 0.00046622983 0.003046395 0.0006786434 0.00060123845 0.00053643435 0.008893169 0.009670819 0.000499232 0.00041762672 0.0013776881 0.00045362904 0.0005592358 0.00047103016 0.0013608871 0.0004716302 0.01453233 0.0005718366 0.0015198973 0.0005958381 0.0006054387 0.0006054387 0.001546899 0.00052263343 0.0005982383 0.00051963323 0.001593102 0.0004926315 0.0006264401 0.00052263343 0.0015432987 0.00051903323 0.0006018385 0.0005280338 0.0015823012 0.00053703436 0.0007062452 0.00050343224 0.0015619 0.0009834629 0.00056643627 0.00058863766 0.0020551316 0.0005634361 0.00080105127 0.00049803185 0.0016441052 0.0009420603 0.0006378408 0.00055263535 0.0033968175 0.00086645543 0.0022015409 0.0014298916 0.0125090005 0.00047763056 0.00081005186 0.0044462844 0.0016525057 0.0007020449 0.0005844374 0.00052443356 0.0019579253 0.0005052323 0.00068824406 0.00049443165 0.0020203292 0.0005082325 0.0008760561 0.0005232335 0.0017581126 0.0004962318 0.0006000384 0.0005478351 0.0020665321 0.00050703244 0.0005988383 0.0005922379 0.0018937212 0.000593438 0.0006270401 0.00049443165 0.001704109 0.0005610359 0.0006300403 0.00051483297 0.0017437116 0.0008922571 0.0005652362 0.0005436348 0.019284034 0.000843054 0.0006324405 0.0008580549 0.0025573636 0.0006636425 0.000593438 0.00052743376 0.007550883 0.00058683753 0.00069904473 0.00069604453 0.0021427372 0.00072604645 0.0009828629 0.00081605226 0.0025531633 0.0007248464 0.00082565285 0.0006936444 0.00406346 0.0009642617 0.002562764 0.11284262 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000522515 2.4023677e-06 3.0029598e-06 3.0029598e-06 5.4053276e-06 0.0 6.0059197e-06 3.6035517e-06 3.6936406e-05 0.0 0.0 6.0059193e-07 9.008879e-07 0.0 0.0 3.0630188e-05 0.0029996564 3.72367e-05 3.0029598e-05 1.5615391e-05 2.612575e-05 6.1260376e-05 2.612575e-05 3.3332853e-05 0.00017116871 6.3062153e-06 8.708583e-06 1.8017758e-05 1.6816575e-05 2.1321013e-05 6.0059197e-06 0.00021230926 0.021749236 0.00022161842 0.00023393056 0.00031621166 0.0003951895 0.002399665 0.00033483 0.00047386705 0.0004465401 0.00023693353 0.00019038764 0.00027717318 0.00025134772 0.0002816776 0.00021260955 0.00088407134 0.009434398 0.0001489468 0.00022041725 0.00011050892 0.0014669459 0.0004096037 0.0059398543 0.0033413933 0.00023573234 0.00010029886 0.00010840684 0.0001564542 7.47737e-05 0.00010960803 9.1890564e-05 0.0008059944 0.020275082 0.0003954898 0.00081410236 0.00031501046 0.004644678 0.00069578574 0.013718721 0.007628719 0.00032341876 0.00016696456 0.000217114 0.00029128708 0.00019008735 0.000246543 0.00023543205 0.0058071236 0.04678611 0.001853727 0.003321874 0.0022984655 0.014666455 0.005024252 0.045021273 0.023810167 0.0006156067 0.00048557858 0.0010225078 0.0011825656 0.0011798629 0.0010813657 0.0011104945 0.013516322 0.021259753 0.0037675132 0.0030089656 0.0021393085 0.0052611856 0.004272311 0.019179603 0.0111935325 0.00060779904 0.0004936866 0.00037416877 0.00037717173 0.00045855195 0.0005840757 0.00068767776 0.0025954582 0.011014856 0.0016200967 0.00090809504 0.0007225121 0.0016549311 0.0012192016 0.0046167504 0.0024642288 0.00039458892 0.00033993504 0.00034804302 0.0003954898 0.00042882265 0.00041410816 0.0004531466 0.001910483 0.014410002 0.0041104513 0.0027960557 0.019984396 0.004057599 0.0036855324 0.004612546 0.0031326876 0.003289442 0.0018005746 0.0018294031 0.0020062774 0.0023879535 0.0021221917 0.002290057 0.006205616 0.031286336 0.0034236743 0.003217371 0.003870815 0.005758175 0.013293803 0.011562296 0.0040359776 0.03843338 0.019211736 0.0024471118 0.0028558148 0.010093548 0.0030756313 0.009814873 0.050411586 0.045608353 0.005060888 0.0034251758 0.004979808 0.012755072 0.02051442 0.0147649525 0.007218815 0.04793985 0.019295817 0.0046891216 0.005443465 0.015326806 0.0049044336 0.015030715 0.05287011 0.005807424 0.0008285166 0.0006297206 0.00085944706 0.0019282005 0.0028588176 0.0018297033 0.0017176929 0.0034804302 0.00078587455 0.00044203567 0.0004933863 0.0015864637 0.0006297206 0.0019651367 0.0030627185 0.001178962 0.0012167993 0.0012405227 0.0012444265 0.0012152978 0.0012252076 0.0011906736 0.0012564383 0.00123782 0.0012375197 0.0012564383 0.0012225049 0.0012630449 0.001231814 0.0012303126 0.0012324146 14961.0 21.508455 321788.0 0.017626513 0.00020821161 0.0004723607 0.00014916653 0.009549766 0.0005345134 0.0003542705 0.00029833306 0.0013549293 0.00037602396 0.0011373948 0.00011498253 0.0030858826 0.00071164867 0.007358882 0.00039466977 0.0049753254 0.0043289373 0.006628588 0.0026104143 0.0055222693 0.0026135219 0.0027129664 0.0024115257 0.0033251706 0.002178453 0.009223464 0.0021970987 0.0050934157 0.0028217335 0.0042232773 0.002091439 0.03156737 0.004869666 0.0048976345 0.01716969 0.010264522 0.0046490235 0.008465201 0.0022592514 0.0018552587 0.0057087275 0.00026104142 0.0029584696 0.004142479 0.003322063 0.002989546 0.0031480354 0.007797059 0.00077069376 0.0043600136 0.013971932 0.011342872 0.0038658993 0.0041020797 0.0020510398 0.0012461621 0.00010565963 0.00031387125 0.00028279488 0.0018707969 0.00025482615 0.0002237498 0.008545999 0.0010410581 0.0547783 0.012427437 0.023027584 0.026458414 0.075179935 0.009854314 0.013630092 0.006908275 0.06263441 0.002946039 0.0075733094 0.043677825 0.024090394 0.051555682 0.04323965 0.022381196 0.014419432 0.06476935 0.036474325 0.066174 0.014065161 0.012604572 0.0030858826 0.011423671 0.0075857397 0.010106033 8.701381e-05 0.0010317352 9.0121444e-05 0.00027968726 8.079854e-05 5.39395 20.0 0.0 1.0 2.0 1666560.0 1687552.0 0.0 72.0 3421.0 1.0 1.0 0.0 1.0 0.0 1541010300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 5.0 0.0 913408.0 1536.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -63488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -304128.0 0.0 0.0 0.0 0.0 0.0 3584.0 0.0 0.0 -912384.0 -216064.0 164352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4790983 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.21082626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.537371 0.0 0.0 0.0 0.0 0.0 5.336203 0.0 0.0 -5.9827147 -5.361286 6.314809 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -307200.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 -913408.0 -217088.0 164156.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 4.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -3.0 1.0 1.0 -2.0 3.0 3.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 2.0 -2.0 -3.0 -1.0 -1.0 1.0 -3.0 2.0 5.0 -3.0 -2.0 3.0 -1.0 0.0 -1.0 -2.0 1.0 -2.0 1.0 -2.0 -2.0 1.0 0.0 -1.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 2.0 -1.0 1.0 1.0 3.0 2.0 0.0 0.0 -3.0 -2.0 -2.0 0.0 2.0 0.0 2.0 -1.0 -1.0 -1.0 3.0 1.0 2.0 -3.0 3.0 0.0 -1.0 -1.0 5.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 -3.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 3.0 1.0 0.0 2.0 0.0 -1.0 1.0 -1.0 3.0 1.0 0.0 -2.0 -2.0 0.0 -4.0 1.0 2.0 -1.0 2.0 1.0 2.0 -2.0 0.0 -1.0 -1.0 -3.0 -1.0 -1.0 3.0 1.0 0.0 0.0 0.0 1.0 2.0 1.0 1.0 0.0 2.0 -1.0 -1.0 5.0 -1.0 1.0 4.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 2.0 -1.0 -1.0 3.0 0.0 1.0 0.0 -2.0 -1.0 3.0 3.0 3.0 -2.0 -1.0 2.0 1.0 -4.0 0.0 3.0 -1.0 -1.0 -3.0 3.0 2.0 2.0 4.0 1.0 1.0 0.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 3.0 0.0 1.0 1.0 -1.0 1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 2.0 1.0 1.0 2.0 -1.0 1.0 -2.0 -1.0 -1.0 0.0 1.0 0.0 -3.0 1.0 0.0 -3.0 -1.0 2.0 1.0 1.0 -2.0 -2.0 1.0 0.0 -2.0 0.0 -1.0 -3.0 -2.0 2.0 -4.0 1.0 3.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 -2.0 0.0 -1.0 -1.0 2.0 1.0 1.0 0.0 0.0 1.0 -2.0 -3.0 0.0 0.0 0.0 1.0 0.0 -1.0 -3.0 0.0 -2.0 0.0 -1.0 3.0 -1.0 0.0 -1.0 2.0 0.0 2.0 -2.0 -3.0 0.0 0.0 2.0 0.0 1.0 -3.0 0.0 2.0 2.0 0.0 2.0 0.0 1.0 -1.0 1.0 -1.0 4.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 2.0 -1.0 2.0 1.0 -3.0 0.0 -2.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 4.0 0.0 2.0 -2.0 1.0 -2.0 3.0 1.0 -1.0 -3.0 -1.0 0.0 1.0 -1.0 2.0 0.0 2.0 1.0 0.0 -2.0 -1.0 -2.0 -2.0 -1.0 -1.0 -2.0 2.0 -1.0 -3.0 0.0 0.0 0.0 1.0 2.0 1.0 0.0 -3.0 -3.0 1.0 -1.0 1.0 1.0 2.0 -1.0 1.0 3.0 -1.0 -1.0 -1.0 1.0 4.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -2.0 1.0 -1.0 2.0 -2.0 4.0 -3.0 1.0 -1.0 -1.0 0.0 -1.0 2.0 -2.0 -2.0 -1.0 0.0 -2.0 0.0 1.0 -1.0 0.0 2.0 -2.0 1.0 -4.0 0.0 3.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -2.0 2.0 0.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 1.0 1.0 0.0 -1.0 -3.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 3.0 3.0 -5.0 1.0 3.0 -1.0 -3.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -5.0 2.0 -3.0 -2.0 -2.0 -1.0 -2.0 1.0 0.0 0.0 2.0 0.0 4.0 1.0 -1.0 1.0 1.0 -1.0 2.0 -1.0 1.0 -1.0 1.0 1.0 2.0 0.0 2.0 1.0 -1.0 0.0 -4.0 -1.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -2.0 6.0 0.0 2.0 1.0 1.0 3.0 0.0 -2.0 1.0 0.0 2.0 0.0 1.0 2.0 1.0 2.0 1.0 0.0 -1.0 -1.0 1.0 1.0 3.0 2.0 3.0 1.0 -1.0 0.0 -3.0 4.0 -1.0 2.0 -2.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 2.0 4.0 1.0 2.0 3.0 1.0 2.0 -2.0 2.0 -1.0 0.0 -2.0 -2.0 0.0 -2.0 -1.0 -1.0 -3.0 0.0 3.0 0.0 1.0 1.0 1.0 -1.0 4.0 1.0 0.0 4.0 -2.0 1.0 1.0 -2.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 3.0 -2.0 1.0 -1.0 0.0 -3.0 3.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 -1.0 1.0 1.0 -1.0 4.0 3.0 -2.0 -3.0 -1.0 -1.0 1.0 3.0 -2.0 -2.0 2.0 3.0 3.0 1.0 0.0 -6.0 -3.0 -2.0 0.0 1.0 1.0 -1.0 2.0 1.0 -1.0 2.0 -2.0 3.0 -2.0 -2.0 3.0 3.0 -2.0 1.0 0.0 1.0 1.0 -2.0 -1.0 3.0 2.0 1.0 1.0 -1.0 2.0 2.0 -1.0 -2.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 2.0 1.0 -2.0 1.0 0.0 -1.0 6.0 -1.0 -2.0 1.0 0.0 -2.0 0.0 3.0 2.0 3.0 -1.0 0.0 3.0 -3.0 -1.0 1.0 -1.0 -2.0 2.0 1.0 -1.0 -1.0 4.0 -2.0 0.0 1.0 -2.0 -1.0 -1.0 -3.0 -2.0 0.0 -1.0 0.0 1.0 2.0 -2.0 2.0 4.0 3.0 3.0 1.0 0.0 -3.0 0.0 -1.0 0.0 3.0 -2.0 1.0 2.0 1.0 -1.0 2.0 -2.0 0.0 3.0 0.0 1.0 -2.0 -3.0 2.0 -1.0 -3.0 -2.0 -1.0 0.0 1.0 -3.0 0.0 1.0 1.0 -2.0 -2.0 -4.0 -1.0 0.0 3.0 0.0 3.0 2.0 1.0 1.0 0.0 1.0 -1.0 -2.0 2.0 2.0 -1.0 -3.0 2.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 4.0 -1.0 -5.0 0.0 0.0 -3.0 -2.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -4.0 4.0 1.0 4.0 -1.0 0.0 4.0 1.0 -5.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 -2.0 0.0 0.0 1.0 0.0 1.0 1.0 -2.0 0.0 -4.0 3.0 2.0 -1.0 -5.0 1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -3.0 -2.0 1.0 0.0 2.0 1.0 2.0 -3.0 3.0 -1.0 -3.0 0.0 4.0 1.0 2.0 1.0 1.0 0.0 1.0 -1.0 2.0 1.0 0.0 0.0 -2.0 -1.0 1.0 1.0 -5.0 -2.0 1.0 2.0 -4.0 1.0 0.0 1.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 2.0 -1.0 1.0 -2.0 -2.0 5.0 2.0 -1.0 -2.0 1.0 3.0 0.0 -3.0 3.0 -3.0 1.0 -1.0 -1.0 2.0 -1.0 2.0 -1.0 -4.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 2.0 -2.0 1.0 1.0 1.0 2.0 1.0 -1.0 1.0 0.0 0.0 -3.0 2.0 2.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 4.0 -1.0 3.0 4.0 0.0 2.0 3.0 -2.0 2.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 0.0 -3.0 -1.0 2.0 1.0 1.0 -1.0 -2.0 1.0 0.0 -1.0 1.0 -5.0 3.0 0.0 5.0 -1.0 -1.0 -1.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 2.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 2.0 1.0 2.0 1.0 -2.0 2.0 -3.0 0.0 -1.0 1.0 1.0 0.0 -2.0 0.0 -2.0 -1.0 -2.0 0.0 1.0 1.0 -1.0 0.0 2.0 1.0 2.0 0.0 0.0 2.0 2.0 -2.0 -1.0 -2.0 1.0 2.0 1.0 2.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -2.0 0.0 2.0 0.0 0.0 0.0 1.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 -1.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 -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 2.0 1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 3199.0 1449984.0 215880.0 1232896.0 164156.0 1454080.0 0.0 0.0 0.0 0.0 63324.0 1622016.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1228800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.27895054 0.018866858 0.012760103 0.00425965 0.009348613 0.0035905458 0.0016303528 0.0032324337 0.011478438 0.00364709 0.0027518093 0.001781137 0.0063612033 0.0028366256 0.0009329765 0.0033926417 0.0055884346 0.0073224516 0.0007068004 0.0005654403 0.0032418577 0.0044481303 0.00072564837 0.00065025635 0.0021957932 0.002073281 0.00048062424 0.0003863842 0.0012722407 0.003769602 0.0007162244 0.0015832328 0.0112145655 0.0005842883 0.001950769 0.0010837605 0.0037507538 0.0029214416 0.0009329765 0.00022617611 0.0035528499 0.00066910434 0.0005842883 0.0020638572 0.0009800965 0.00065025635 0.001903649 0.00045235222 0.0016868969 0.0006219843 0.0017528649 0.0050701145 0.002261761 0.00081988843 0.00051832024 0.0003863842 0.0012722407 0.0007727684 0.0009518245 0.001894225 0.0013382087 0.0021109772 0.0009424005 0.0011214566 0.009009348 0.0093863085 0.0053528347 0.0014418728 0.0026010254 0.016369496 0.0010554886 0.0010366405 0.002167521 0.00086700846 0.0005654403 0.0003486882 0.0017340169 0.011572678 0.00073507236 0.0007539204 0.0072376356 0.005531891 0.0036282418 0.0012062726 0.0011403046 0.011949638 0.00072564837 0.0014889927 0.0007633444 0.0001979041 0.00081046444 0.00066910434 0.003844994 0.0025727532 0.0008575844 0.0012816647 0.0011214566 0.00388269 0.0011968486 0.0023936972 0.0023842733 0.0066250754 0.003844994 0.0013476327 0.0056920988 0.0047402745 0.006502563 0.001903649 0.0036188178 0.0014607208 0.00402405 0.004240802 0.0026292973 0.0001790561 0.004193682 0.003684786 0.008867988 0.007492084 0.00081988843 0.0014984168 0.0009895205 0.0012345447 0.00050889625 0.00026387215 0.0008293124 0.0042879223 0.00067852833 0.00073507236 0.0030910736 0.0024313931 0.00044292823 0.018291993 0.0012816647 0.0069737635 0.00032041618 0.0003769602 0.0028177775 0.010168501 0.0024690893 0.037375603 0.0009706725 0.0050889626 0.0010177925 0.0007727684 0.0014418728 0.0005937123 0.0012345447 0.0029308654 0.0006879523 0.002120401 0.0003769602 0.0002073281 0.0007162244 0.0027518093 0.00027329614 0.0001790561 0.00065968034 0.00014136007 0.00023560012 0.00031099215 0.0007821924 0.0012439686 0.00025444812 0.00050889625 0.00089528045 0.0003486882 0.00028272014 0.00016963208 0.0007162244 0.00025444812 0.00036753618 0.00030156816 0.00081046444 0.00032041618 0.00024502413 0.00014136007 0.0009989445 0.00065968034 0.0008387364 0.0009800965 0.0006879523 0.00016020809 0.0001979041 0.00014136007 0.0014041767 0.0011874246 0.0009706725 0.002026161 0.0006219843 0.00089528045 0.0013853287 0.00030156816 0.0066721956 0.0023936972 0.0014136008 0.0027329614 0.005475347 0.00031099215 0.0010177925 0.0049193306 0.0016209289 0.001903649 0.00081988843 0.00025444812 0.016859544 0.00040523222 0.00032041618 0.0005560163 0.002252337 0.00081046444 0.002092129 0.0008293124 0.001847105 0.00023560012 0.00044292823 0.0004146562 0.002120401 0.0006973764 0.0005560163 0.00065025635 0.0027706574 0.0003769602 0.00049947225 0.00040523222 0.0028743215 0.0011780006 0.0016680489 0.00051832024 0.0017151688 0.0017340169 0.00045235222 0.00048062424 0.007539204 0.0028083534 0.0010083686 0.0052397465 0.0051360824 0.00030156816 0.0009989445 0.0005371683 0.005758067 0.001941345 0.00072564837 0.0007633444 0.0031853137 0.00067852833 0.0008293124 0.0012910886 0.0067004673 0.0012722407 0.0013759047 0.0048156665 0.010498341 0.0034586098 0.0035340018 0.06308429 0.029411765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026099112 0.00047392002 0.00022499234 0.000134038 0.00037339155 0.0002489277 0.00025371477 0.00015318628 0.00027765014 7.659314e-05 0.00011967678 0.00016276042 0.00012446386 0.000114889706 0.00014839921 0.00042604932 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006936466 1.9148285e-05 9.5741425e-06 4.7870712e-06 0.00039253983 0.00020105699 0.0014026118 0.0007324219 0.0 9.5741425e-06 4.7870712e-06 2.8722427e-05 2.3935356e-05 2.8722427e-05 4.7870712e-06 4.7870712e-06 0.021335976 0.000114889706 0.001211129 0.00040211398 0.0006941253 0.00045477174 0.0022116269 0.0011536841 0.00033509498 9.095435e-05 7.659314e-05 6.223193e-05 0.00022020527 8.138021e-05 0.00013882507 0.0008281633 0.012427237 0.00023935355 0.0009239047 0.000114889706 0.0005265778 0.0006941253 0.0026089537 0.0012207031 0.00018669578 3.35095e-05 8.616728e-05 2.8722427e-05 7.659314e-05 8.138021e-05 3.829657e-05 0.00032073376 0.006127451 0.00027286305 0.000100528494 4.787071e-05 0.0005265778 0.00037339155 0.00016754749 0.00019626992 0.0007467831 2.3935356e-05 9.5741425e-06 0.000105315565 0.00030158547 7.180607e-05 0.00025850185 0.00047392002 0.038502414 0.0024126838 0.00753485 0.0019387638 0.003370098 0.002819585 0.014787262 0.0073050703 0.001278148 0.00114411 0.0004787071 0.001077091 0.0004451976 0.0004308364 0.00068455114 0.004025927 0.04598939 0.0066253063 0.0070513557 0.003437117 0.004901961 0.003437117 0.015826058 0.008305568 0.0025515088 0.0020440794 0.0009095435 0.0024126838 0.0011680453 0.0013595282 0.0013020834 0.010325712 0.039426316 0.004523782 0.0035328586 0.0043897443 0.0045429305 0.0025467218 0.0030254289 0.0009334789 0.0021350337 0.0038535923 0.0009909237 0.0023313037 0.0031259574 0.0021206725 0.0017281327 0.018832337 0.033174403 0.0032264858 0.00351371 0.0028387331 0.008343865 0.0060987286 0.0022977942 0.0021876914 0.013691023 0.0029296875 0.0008951823 0.001756855 0.0052945004 0.003102022 0.0060412837 0.022255093 0.09597599 0.017860562 0.00923426 0.010158164 0.04136508 0.027094822 0.012264476 0.016520182 0.07273954 0.0048684515 0.0040737973 0.005529067 0.036803003 0.009674671 0.02391142 0.05310298 0.0020680148 0.00044998468 0.00035424327 0.00034466913 0.0009047564 0.0004978554 0.00052179076 0.00054093904 0.0014313343 1.9148285e-05 0.00011967678 6.7019e-05 0.00083295035 0.0001819087 0.00044998468 0.0010196462 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 353.0 20.303116 7167.0 0.09711176 0.0020929258 0.0044649085 0.00055811356 0.00041858517 0.00865076 0.001395284 0.00027905678 0.0026510395 0.0023719827 0.00013952839 0.009487931 0.00432538 0.0040463232 0.01213897 0.0016743407 0.0079531185 0.0026510395 0.016324822 0.002790568 0.00083717034 0.00055811356 0.0026510395 0.00041858517 0.002790568 0.00055811356 0.003906795 0.00013952839 0.0018138691 0.0075345333 0.0033486814 0.00027905678 0.00013952839 0.013534254 0.03850984 0.010185572 0.006278778 0.00781359 0.0048834938 0.006418306 0.0047439653 0.0057206643 0.00013952839 0.0016743407 0.006278778 0.006418306 0.0044649085 0.0040463232 0.0069764196 0.0019533974 0.006418306 0.00781359 0.0040463232 0.002790568 0.002790568 0.008232175 0.0019533974 0.00041858517 0.0037672666 0.00013952839 0.005999721 0.0 0.00013952839 0.0061392495 0.000697642 0.039347008 0.008371703 0.026649924 0.020092089 0.075903445 0.0115808565 0.012418027 0.0133947255 0.04855588 0.000697642 0.010464629 0.035719268 0.01479001 0.045486256 0.04967211 0.021905959 0.00041858517 0.042835217 0.03557974 0.052462675 0.01911539 0.003906795 0.005999721 0.006278778 0.008232175 0.001395284 0.00013952839 0.00055811356 0.00013952839 0.0 0.0 5.3774476 0.0 0.0 0.0 1.0 106112.0 114688.0 1.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1006353540.0 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 57344.0 4096.0 4096.0 4.0 0.0 0.0 2.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 32384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0933595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.484653 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.105165 0.0 4.9719043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10252.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 32384.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 65716.0 31064.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 61920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 472.0 61440.0 0.0 0.0 0.0 0.0


Input: 0.18886848 0.009534334 0.0037199322 0.0042531868 0.0051141037 0.002447831 0.002550627 0.002030222 0.005467465 0.0025056538 0.0021073192 0.0017282587 0.0049470603 0.0020109478 0.0019017269 0.0023514598 0.003540039 0.0024799549 0.0017860815 0.002190841 0.0027497944 0.0050948295 0.0017539576 0.0018310547 0.0021779914 0.0022036904 0.0017539576 0.0017411081 0.0026983963 0.0015869141 0.001927426 0.002158717 0.0068359375 0.0024028576 0.0017539576 0.0017668072 0.0019916736 0.004940635 0.0017154091 0.0018182052 0.0027819183 0.0020687706 0.0019723992 0.002158717 0.0024799549 0.004060444 0.0019467003 0.0015033922 0.003617136 0.0017218338 0.002499229 0.0022165398 0.0016832853 0.0017411081 0.001484118 0.0016511616 0.0026791221 0.0016383121 0.0017154091 0.0020109478 0.0019081518 0.001535516 0.001509817 0.0017218338 0.012804533 0.008352179 0.0021394428 0.0024735301 0.0061035156 0.010260331 0.002133018 0.0037392064 0.0022036904 0.0036942333 0.0015290913 0.0017860815 0.002113744 0.008320056 0.0034500926 0.0018310547 0.008834036 0.0055702613 0.0048057153 0.0022229645 0.0020109478 0.0049277856 0.0024799549 0.001850329 0.005024157 0.0016832853 0.0015676398 0.0017668072 0.0017411081 0.002788343 0.0014455694 0.0017925062 0.0029361122 0.00364926 0.0020494964 0.0026855469 0.0037520558 0.0062962584 0.0025442024 0.0017732319 0.008332905 0.0035785877 0.0055252877 0.0022229645 0.0035593132 0.002704821 0.0035271896 0.0040283203 0.0032445004 0.0016061884 0.00481214 0.0034822163 0.0050755553 0.00312243 0.0016061884 0.0020494964 0.0034051193 0.001953125 0.0016832853 0.0015740646 0.0018824528 0.0019145765 0.001509817 0.001561215 0.004227488 0.005756579 0.002788343 0.0057951272 0.002242239 0.005711606 0.0015869141 0.0015226665 0.0028718647 0.006328382 0.0018182052 0.022968493 0.0020109478 0.015387285 0.001407021 0.0015162418 0.0021779914 0.0023835835 0.0016897101 0.0017668072 0.0019402755 0.0041118423 0.0016061884 0.0014969675 0.0023578845 0.0017475329 0.0016575863 0.0015997635 0.0017603824 0.0014905428 0.0018117804 0.0017154091 0.0028525905 0.0018696032 0.0014455694 0.001509817 0.0025120785 0.0015933388 0.0014905428 0.0016640112 0.0020944695 0.0015483656 0.0015933388 0.0015869141 0.0020944695 0.0016447369 0.0017411081 0.0015804893 0.0023643093 0.0015740646 0.0015740646 0.0016126131 0.0017860815 0.0015997635 0.0015804893 0.0018053557 0.002788343 0.0015676398 0.0015290913 0.0015483656 0.0016447369 0.0017925062 0.0017860815 0.0014519943 0.0030003597 0.0050691306 0.0026726974 0.003925524 0.0045230263 0.0015869141 0.005159077 0.0035079152 0.0024414062 0.0018310547 0.0016768606 0.0016575863 0.0052040503 0.001535516 0.0015997635 0.0016126131 0.0030646073 0.0015804893 0.0017154091 0.0015033922 0.0019338507 0.002704821 0.0039383736 0.0020944695 0.0020623459 0.0014648438 0.0017282587 0.0016640112 0.0022807873 0.0015804893 0.002004523 0.0018374794 0.0031866776 0.0019723992 0.0022229645 0.004426655 0.0029618114 0.0034179688 0.0019659745 0.0017603824 0.012084961 0.0026148746 0.0025956004 0.0032701995 0.006745991 0.0021458676 0.0023386101 0.0022743626 0.006032843 0.0027305202 0.0026791221 0.004484478 0.0026405735 0.0018567537 0.001850329 0.0019017269 0.004657946 0.0018888775 0.0020430714 0.002653423 0.010292455 0.002814042 0.011808696 0.055599816 0.01986755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005917581 4.527111e-05 6.467301e-05 1.9401905e-05 0.0050153923 0.0016879656 0.00011641142 6.1439365e-05 7.760762e-05 7.4373966e-05 5.173841e-05 3.5570156e-05 2.2635555e-05 9.700952e-06 2.2635555e-05 2.2635555e-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 0.015321037 3.5570156e-05 0.000601459 0.00031366412 0.0004850476 0.0003071968 0.0014713111 0.00083428185 9.377587e-05 4.527111e-05 6.1439365e-05 5.820571e-05 4.850476e-05 0.000119645076 5.820571e-05 1.2934603e-05 0.009675083 0.0005658889 0.0004850476 0.00045917838 0.00020695364 0.0004850476 0.0003071968 0.00020371999 0.00046241205 5.173841e-05 4.850476e-05 7.114031e-05 3.5570156e-05 6.467301e-05 5.820571e-05 6.467301e-05 0.0044753724 2.5869205e-05 4.203746e-05 1.6168253e-05 0.00013904698 2.2635555e-05 2.5869205e-05 1.9401905e-05 0.0003071968 1.6168253e-05 2.5869205e-05 6.1439365e-05 0.0002813276 4.203746e-05 0.0002425238 0.000879553 0.029225735 0.00097332883 0.0010121326 0.00039127172 0.0022506209 0.0011253104 0.0018852183 0.0012740584 0.0016588628 0.0003589352 0.00021988824 0.00013581333 0.0007178704 0.00043007554 0.0009700952 0.0037283993 0.016656535 0.0015230494 0.0020954057 0.0006176273 0.0034826417 0.0009862635 0.006331488 0.0037575022 0.00062086096 0.00029749586 0.0001843181 0.00021988824 0.00016814984 0.0015327504 0.00029102855 0.0009700952 0.020087438 0.0016297599 0.006376759 0.0020210317 0.0047987374 0.0018755174 0.007760762 0.0045368117 0.00091512315 0.0003945054 0.00044947743 0.00046887936 0.0005141505 0.0023120602 0.00329509 0.002166546 0.012313741 0.0013904698 0.0013290304 0.001138245 0.0048019714 0.0020210317 0.002425238 0.0012417219 0.003877147 0.0008407492 0.0009571606 0.0010800393 0.002832678 0.0012320209 0.006153637 0.00934525 0.049588032 0.0057526645 0.0038933153 0.0024640418 0.011337179 0.0099822795 0.008420426 0.0025254812 0.032439984 0.004223148 0.0036637262 0.002489911 0.009481064 0.0024478736 0.013345276 0.04986613 0.033393912 0.0041067363 0.004355727 0.0024575745 0.013581333 0.008358987 0.0070428913 0.0026968645 0.021798039 0.0027421357 0.0019563586 0.0022603218 0.009147998 0.0030687344 0.008924875 0.026425393 0.003249819 0.00044947743 0.0012190863 0.0010412355 0.0020986393 0.0010768056 0.0026612945 0.0016329936 0.0012740584 0.0004462438 0.00039773903 0.00039773903 0.0016135917 0.00052061776 0.0005335524 0.0012546565 0.020760037 0.021380898 0.020937888 0.020582186 0.022687294 0.02205673 0.02099286 0.02190475 0.020892616 0.021956488 0.020944355 0.020876449 0.0224286 0.021587852 0.022438303 0.021943554 768.0 14.029948 10775.0 0.04547564 0.010951276 0.0031554524 0.0026914154 0.0018561485 0.010023202 0.0014849188 0.004547564 0.003062645 0.003062645 0.005661253 0.001299304 0.0020417634 0.030162413 0.006960557 0.001763341 0.010301624 0.0016705337 0.002598608 0.002598608 0.0016705337 0.0016705337 0.0012064965 0.00092807424 0.0036194895 0.0019489559 0.002412993 0.0025058005 0.00287703 0.0025058005 0.0020417634 0.0021345709 0.0023201855 0.04139211 0.0049187937 0.0094663575 0.056798145 0.007888631 0.004640371 0.031461716 0.003526682 0.031183295 0.0010208817 0.0020417634 0.004640371 0.004176334 0.028770301 0.0047331788 0.03526682 0.005011601 0.00612529 0.0073317867 0.0053828307 0.002227378 0.002227378 0.004640371 0.029791184 0.004176334 0.0021345709 0.001299304 0.001299304 0.0019489559 0.0019489559 0.004547564 0.001113689 0.02914153 0.005939675 0.016426913 0.015962876 0.061809745 0.010301624 0.007238979 0.017447796 0.024315545 0.0023201855 0.004083527 0.022645012 0.013642691 0.025893271 0.03563805 0.01837587 0.0015777262 0.04102088 0.025429234 0.036566127 0.01512761 0.0025058005 0.005011601 0.014477958 0.00575406 0.003062645 0.0007424594 0.0013921114 0.00092807424 0.0013921114 0.0014849188 5.681257 0.0 0.0 0.0 5.0 155648.0 155648.0 0.0 0.0 104.0 0.0 0.0 0.0 0.0 0.0 1395714400.0 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 57344.0 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 12288.0 0.0 0.0 0.0 0.0 0.0 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 -57344.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9589562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1190906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.801567 0.0 7.64441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54969.0 0.0 67444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 69400.0 67444.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 952.0 61440.0 0.0 0.0 0.0 0.0


Input: 0.48792535 0.0031468775 0.0029406566 0.003091305 0.0030230111 0.002987525 0.0028509372 0.0029379784 0.003264718 0.0029353 0.0028877622 0.0028489286 0.0031924068 0.003029037 0.0028589717 0.0028723627 0.0030564885 0.0029024924 0.002844911 0.0030759054 0.0029272656 0.0029306135 0.0029219093 0.0028502676 0.002953378 0.002895797 0.0028730321 0.00299489 0.0029038314 0.0028723627 0.0028884318 0.0028395548 0.0029165528 0.002864328 0.0029573953 0.0028382158 0.0028723627 0.002782643 0.0028375462 0.0028134424 0.0028790582 0.002833529 0.00289111 0.0029111966 0.002833529 0.002895797 0.0027585395 0.0028663366 0.002909188 0.0028442417 0.0029319525 0.0030049332 0.0028944577 0.0029138746 0.0028208075 0.0027471571 0.0029319525 0.003110722 0.0030062723 0.0029219093 0.002958065 0.002842233 0.0028589717 0.0028556238 0.0036323 0.0029801598 0.0028870928 0.00287638 0.0031441993 0.0032908304 0.0028810669 0.002849598 0.0028656672 0.0028810669 0.0029841773 0.0028743714 0.0029279352 0.0031944155 0.0029219093 0.0029245873 0.003058497 0.003036402 0.002959404 0.0028750408 0.0028067469 0.0029138746 0.0030417584 0.0029232483 0.0029078487 0.0029821687 0.002796034 0.0028328593 0.0028254942 0.0030136374 0.0029761426 0.0028603107 0.0030518016 0.0029781512 0.0031321475 0.0029794904 0.0028944577 0.0030799226 0.0029955595 0.0028904404 0.003058497 0.0029346307 0.0031214347 0.0028402244 0.0028442417 0.0029553866 0.002919231 0.0029379784 0.003881372 0.0028248248 0.0029794904 0.0029433349 0.0031917372 0.0031368344 0.0030410888 0.0027886692 0.0030049332 0.0029446739 0.0028737017 0.002897136 0.0028844145 0.0035519542 0.0030149764 0.0028442417 0.0011402409 0.0010404782 0.0010404782 0.0014649719 0.0010465041 0.0011817529 0.000996288 0.0009293332 0.0010846684 0.0013424446 0.0010619038 0.0019055348 0.0009433937 0.00341001 0.000981558 0.0010779729 0.0012446905 0.0009808884 0.000962141 0.0010270872 0.00095879333 0.0009695061 0.0009956185 0.0009989662 0.0010177136 0.001036461 0.00097017566 0.0010123572 0.0009835666 0.0012982544 0.0009996358 0.0009721843 0.0011991612 0.0011750575 0.0010531996 0.0011188154 0.0010170441 0.0010478433 0.0012667855 0.00092397677 0.0009520978 0.0010779729 0.0009460719 0.0009902621 0.0009989662 0.00096348015 0.0010083399 0.0010665907 0.0010076703 0.0009373678 0.001065921 0.00094808056 0.0010391391 0.0009373678 0.0009902621 0.0009929403 0.0009601324 0.00096883654 0.0010143658 0.00095678464 0.0010096789 0.0010049922 0.0010103486 0.0010096789 0.0012031784 0.0010324436 0.0010150354 0.0011067635 0.0010431564 0.0010003053 0.0010210613 0.0010531996 0.0010003053 0.0010177136 0.000913264 0.0009849058 0.0010290958 0.0010324436 0.0009695061 0.0009782102 0.001058556 0.0010264177 0.0009882534 0.0009869144 0.0009648192 0.00096883654 0.0009942794 0.0010130267 0.0010157049 0.00102307 0.0009855753 0.0010009749 0.0010049922 0.0010244091 0.0010485128 0.0009554456 0.0010665907 0.0009869144 0.0010404782 0.0009822275 0.0011851006 0.00096348015 0.0009380373 0.0009741929 0.0011958134 0.0010900248 0.0010270872 0.0011007376 0.0010632429 0.00097553205 0.0009628106 0.0009895925 0.0010391391 0.0011784051 0.0010009749 0.000982897 0.0015185358 0.0010183831 0.0010177136 0.001043826 0.0010846684 0.0010357914 0.0010023139 0.0010679297 0.001223265 0.0009976272 0.0011837616 0.0016973052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010553176 4.055047e-05 4.2561234e-05 1.9437413e-05 2.781561e-05 1.9772542e-05 2.3794077e-05 2.010767e-05 3.8874827e-05 1.0388962e-05 1.541588e-05 9.048452e-06 1.1729474e-05 1.3740241e-05 7.3728124e-06 1.6756392e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00044002285 2.479946e-05 2.8820994e-05 2.6810227e-05 1.6086136e-05 2.5134588e-05 2.6475098e-05 2.4464332e-05 9.048452e-06 9.38358e-06 1.1729474e-05 9.38358e-06 1.1394346e-05 7.0376846e-06 7.0376846e-06 8.713324e-06 0.5253869 0.045334417 0.044725824 0.044927236 0.045073353 0.04495237 0.04524427 0.045111556 0.014913188 0.015090471 0.01517928 0.014950722 0.014970495 0.015028138 0.014897438 0.015092817 0.0004132126 1.1059218e-05 4.591251e-05 3.4518165e-05 9.350067e-05 4.959892e-05 0.0003398196 0.00021146567 7.875504e-05 2.144818e-05 9.38358e-06 1.1729474e-05 1.1059218e-05 9.38358e-06 1.0053835e-05 2.178331e-05 0.0002660915 1.6086136e-05 3.686406e-05 2.8150738e-05 2.010767e-05 2.6139971e-05 0.0001035545 6.1998646e-05 4.7588153e-05 2.6810226e-06 5.362045e-06 2.345895e-06 1.876716e-05 2.6810226e-06 1.4745625e-05 3.3177654e-05 0.0040329285 0.0005502799 0.00036093267 0.0005465935 0.0018127065 0.000755043 0.00041120185 0.0007168384 0.0022932799 0.00035825165 0.00035087884 0.00015918571 0.000768113 0.0003109986 0.0007825235 0.0015761062 0.00089680206 0.0006260188 0.0003998075 0.0008227388 0.0008130201 0.00077917223 0.0012691291 0.0022007844 0.0028720456 0.0007533674 0.001040907 0.00054223684 0.000506043 0.0005251453 0.00064009416 0.001098549 0.00018767158 0.00014544548 0.000120981145 0.00016153161 0.000267432 0.0002215195 0.00019772541 0.00046750333 0.00040315877 0.00018163929 0.00019672004 0.00017158545 0.0001095868 0.0001685693 0.00018096903 0.00024967024 299.0 9.100334 2721.0 0.031606026 0.0022050717 0.0018375597 0.0018375597 0.0018375597 0.0022050717 0.00036751194 0.0018375597 0.005145167 0.0014700477 0.005880191 0.0007350239 0.0018375597 0.015435502 0.006247703 0.0014700477 0.007350239 0.0025725835 0.007350239 0.0029400955 0.0018375597 0.0029400955 0.006615215 0.0018375597 0.0036751195 0.007350239 0.008820287 0.008085263 0.0018375597 0.0014700477 0.0018375597 0.0025725835 0.0033076075 0.007717751 0.0036751195 0.006982727 0.005512679 0.005512679 0.006982727 0.010657846 0.006247703 0.0025725835 0.014700478 0.0025725835 0.013965454 0.005145167 0.005145167 0.0025725835 0.007350239 0.011760382 0.013597942 0.01506799 0.005145167 0.0040426315 0.008085263 0.015435502 0.0036751195 0.0040426315 0.0007350239 0.0007350239 0.00036751194 0.009187799 0.0014700477 0.0022050717 0.010657846 0.028298419 0.014700478 0.016538037 0.01506799 0.0709298 0.009555311 0.010657846 0.01690555 0.03013598 0.007717751 0.0018375597 0.026093349 0.01139287 0.035281148 0.033076074 0.118338846 0.0018375597 0.040058803 0.016170526 0.04740904 0.019478133 0.007717751 0.0047776555 0.007717751 0.008085263 0.005512679 0.0040426315 0.0040426315 0.008820287 0.007350239 0.0025725835 5.6840577 0.0 0.0 0.0 15.0 1493544.0 135168.0 0.0 0.0 49.0 0.0 0.0 0.0 0.0 0.0 1260567000.0 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 25600.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3957267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7765665 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.451165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25252.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 33956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.36657134 0.010160901 0.007080078 0.005533854 0.0081380205 0.003627232 0.002453032 0.0022553944 0.010253906 0.002999442 0.0021623883 0.0019182478 0.007626488 0.0035807292 0.00163923 0.00655692 0.008405413 0.00091843377 0.0008951823 0.0007905506 0.0028948102 0.0058361236 0.00052315847 0.00056966144 0.0021275112 0.00043015252 0.00044177828 0.0006045387 0.0016276041 0.000906808 0.0006045387 0.000906808 0.0069405693 0.00070917036 0.0007207961 0.0011160715 0.012195406 0.0011858259 0.0008951823 0.00037202382 0.0012207031 0.0006394159 0.0006626674 0.0017554874 0.00086030504 0.000906808 0.0013253348 0.00034877233 0.0020926339 0.00069754466 0.0009300595 0.0037551154 0.0011276972 0.0012672062 0.00056966144 0.00037202382 0.0021507626 0.0018368675 0.00074404763 0.0033365886 0.0011625744 0.0016276041 0.0005347842 0.00070917036 0.0108584445 0.012916202 0.002952939 0.0020577568 0.0053710938 0.0078008743 0.0036853608 0.00218564 0.002778553 0.0012904576 0.0005347842 0.000499907 0.0029761905 0.0033830914 0.0013369606 0.0011160715 0.007719494 0.00281343 0.0027553013 0.0045224144 0.0028250557 0.0026855469 0.0051037017 0.0039760047 0.0012439546 0.0037318638 0.00051153277 0.0020112537 0.0011974516 0.0028018043 0.0033830914 0.0027087983 0.0014415922 0.0046851747 0.0014299665 0.0023949032 0.0028250557 0.008324033 0.005092076 0.0013718378 0.0066964286 0.0037434895 0.006184896 0.0006394159 0.0041155135 0.0013602121 0.0038946243 0.004568917 0.0020112537 0.00018601191 0.0048363097 0.0034760975 0.014043899 0.0105910525 0.0011393229 0.0015113468 0.0012090774 0.00109282 0.00030226936 0.00027901787 0.001906622 0.0023484002 0.0012207031 0.0009416853 0.0073707215 0.0031040737 0.0009416853 0.012683687 0.004127139 0.005812872 0.00054641 0.0005347842 0.009777251 0.008451916 0.002139137 0.02086821 0.0016159784 0.0074288505 0.0007324219 0.0007556734 0.0043945312 0.00015113468 0.00109282 0.00011625744 0.0013020834 0.00044177828 0.00054641 0.00022088914 0.00056966144 0.00067429314 0.0001046317 0.00018601191 0.0013834635 8.138021e-05 0.00031389509 0.00015113468 0.0009765625 0.0016624813 0.00034877233 0.0010346912 0.00051153277 0.00054641 0.00032552084 0.00022088914 0.000999814 0.00048828125 0.00031389509 0.00036039806 0.00046502976 5.812872e-05 0.0012323288 0.0002673921 0.00084867934 6.975447e-05 0.00040690103 0.0002092634 0.00081380206 0.00022088914 0.0009765625 0.00091843377 0.0014880953 0.00037202382 0.00036039806 0.0007905506 0.0014415922 0.00022088914 0.00077892485 0.0010114397 0.006847563 0.00281343 0.00163923 0.0050804503 0.0044875373 0.00044177828 0.0021507626 0.0037318638 0.0018252418 0.0016043527 0.00055803574 0.00034877233 0.0024181549 0.00022088914 0.0006045387 0.00067429314 0.001406715 0.0010114397 0.0015229725 0.0009416853 0.0005812872 0.0005347842 0.00069754466 0.00084867934 0.0018949963 0.00032552084 0.00043015252 0.00086030504 0.0009765625 0.00030226936 0.00040690103 0.00036039806 0.0033947174 0.0030110676 0.0023832775 0.0007207961 0.0011044457 0.0002673921 0.00074404763 0.00038364955 0.008347284 0.001813616 0.0005347842 0.0052083335 0.0028018043 0.0008370536 0.00109282 0.000906808 0.0031156994 0.0007324219 0.00062779017 0.0012555803 0.0019182478 0.0003952753 0.0024414062 0.0016276041 0.003813244 0.0013137091 0.00067429314 0.001546224 0.0031040737 0.00081380206 0.0025576637 0.029192243 0.08420204 1.1765813e-05 1.1765813e-05 0.0 1.764872e-05 1.1765813e-05 1.1765813e-05 0.0 5.8829064e-06 0.0 0.0 0.0 4.1180345e-05 0.0 1.1765813e-05 1.1765813e-05 0.01171875 1.764872e-05 2.9414534e-05 1.764872e-05 2.3531626e-05 2.9414534e-05 1.764872e-05 1.1765813e-05 2.9414534e-05 2.3531626e-05 2.3531626e-05 5.8829064e-06 3.529744e-05 2.9414534e-05 2.3531626e-05 1.1765813e-05 0.022037368 0.00012354105 0.00024119917 2.9414534e-05 0.0003588573 0.00021178465 0.00031767695 0.000252965 0.00021766755 0.000111775225 2.3531626e-05 2.3531626e-05 4.1180345e-05 2.9414534e-05 2.9414534e-05 4.706325e-05 0.021607917 9.41265e-05 0.0002470821 0.00010000941 0.0004294522 0.0002882624 0.00053534453 0.00021178465 0.000117658135 0.00013530685 0.0 0.00013530685 3.529744e-05 4.706325e-05 5.8829068e-05 5.294616e-05 0.009953878 1.1765813e-05 5.8829064e-06 5.8829064e-06 0.00031179405 0.0001764872 0.001005977 0.00048828125 5.8829064e-06 1.1765813e-05 5.8829064e-06 2.3531626e-05 2.3531626e-05 5.8829064e-06 5.8829064e-06 5.8829064e-06 0.00977739 0.0003470915 0.0002823795 2.3531626e-05 0.000376506 0.00014118975 0.0003353257 0.0001706043 0.0001706043 5.8829068e-05 4.706325e-05 5.8829064e-06 7.647779e-05 2.9414534e-05 0.000117658135 8.82436e-05 0.00803605 1.1765813e-05 0.00052357867 6.4711974e-05 0.00054711034 0.0003470915 0.0016295651 0.0007177146 1.764872e-05 0.00010000941 0.0 5.8829064e-06 5.8829064e-06 1.1765813e-05 5.8829064e-06 2.3531626e-05 0.039703738 0.0003706231 0.002329631 0.0004471009 0.0021413781 0.00119423 0.0062123495 0.0037532945 0.000564759 0.00032944276 0.00014707267 0.0005529932 0.00031767695 0.00010589232 0.00085302145 0.0012177617 0.036779933 0.0007177146 0.0027296687 0.0009530309 0.0017354575 0.0016001506 0.0057770144 0.003012048 0.002264919 0.0003647402 0.0004471009 0.0003529744 0.00061770517 0.0003706231 0.0004235693 0.0020943147 0.040268496 0.0012765907 0.0012883566 0.0013118882 0.004100386 0.0031061748 0.010477456 0.006024096 0.007253624 0.0010765719 0.00052357867 0.00101186 0.0012883566 0.0005294616 0.0013295369 0.003470915 0.004135683 5.8829064e-06 8.82436e-05 0.00020590173 0.00016472138 8.82436e-05 0.00088831893 0.00078242656 0.0037650603 0.0002588479 5.8829064e-06 9.41265e-05 5.8829068e-05 0.0 0.000252965 0.0012530591 0.012377636 0.0002647308 0.0013295369 0.0010589232 0.0019413591 0.0013707172 0.008189006 0.003982728 0.00030002824 0.0003412086 0.00024119917 0.0003588573 0.00029414534 0.00019413592 0.0018942959 0.0020060712 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07053017 0.011342244 0.008765531 0.009130271 0.023472797 0.019625377 0.011618741 0.014519013 0.036691688 0.0034885637 0.0033120764 0.004100386 0.016730987 0.00560641 0.014642554 0.023531627 0.06591797 0.014148391 0.014236634 0.009771508 0.026708396 0.02234328 0.01226586 0.013636578 0.03643284 0.005535815 0.0051534264 0.0042592245 0.016278002 0.0062652957 0.014254283 0.021949125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 347.0 11.086455 3847.0 0.024694568 0.0010397712 0.0018195997 0.0015596569 0.011177541 0.0010397712 0.0 0.0 0.0018195997 0.0002599428 0.0002599428 0.0015596569 0.0012997141 0.004159085 0.004419028 0.0002599428 0.0077982843 0.0025994282 0.004159085 0.0049389135 0.0015596569 0.00077982846 0.004419028 0.00077982846 0.0020795425 0.0025994282 0.0002599428 0.0018195997 0.0010397712 0.0018195997 0.0002599428 0.00077982846 0.0033792565 0.009877827 0.005978685 0.016896283 0.010657655 0.0072783986 0.012737198 0.0148167405 0.0075383415 0.0072783986 0.0 0.0012997141 0.009357941 0.008058228 0.0049389135 0.004419028 0.013776969 0.0049389135 0.014556797 0.025734339 0.01195737 0.0072783986 0.009877827 0.02859371 0.00077982846 0.0023394853 0.0005198856 0.0005198856 0.0012997141 0.00077982846 0.0005198856 0.0010397712 0.0020795425 0.042890564 0.0072783986 0.021575253 0.023394853 0.10189758 0.009357941 0.013776969 0.015596569 0.04159085 0.008058228 0.0036391993 0.039251365 0.012737198 0.043930337 0.053288277 0.014036912 0.0002599428 0.05094879 0.029113594 0.07382376 0.018715883 0.005718742 0.006758513 0.008058228 0.0062386277 0.0012997141 0.0 0.00077982846 0.0002599428 0.0005198856 0.0010397712 5.4166636 0.0 0.0 0.0 1.0 86016.0 204800.0 0.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 969576800.0 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 53248.0 4096.0 4096.0 4.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.988487 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.98552 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3282166 0.0 4.0691605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6430.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -123800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 9728.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 59192.0 9728.0 192512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 696.0 57344.0 0.0 0.0 0.0 0.0


Input: 0.22378348 0.026674107 0.0043861605 0.0036495535 0.0041517857 0.0049441964 0.0026227678 0.0038839285 0.007890625 0.0016294643 0.0035267856 0.0014620536 0.0030915178 0.0026897322 0.0022433035 0.008370535 0.0066629467 0.00140625 0.0008816964 0.0007924107 0.002142857 0.0063950894 0.0009040179 0.0008816964 0.004285714 0.0018303571 0.0006473214 0.0011941964 0.0010602679 0.0012276786 0.0010825893 0.0018191964 0.00875 0.0013616071 0.0012276786 0.00058035715 0.016953126 0.0008816964 0.00078125 0.0014174107 0.0034709822 0.00042410713 0.00058035715 0.0010825893 0.0009263393 0.0020535714 0.0014397322 0.00065848214 0.0056026787 0.0012834822 0.0013839286 0.0060825893 0.0029799107 0.00060267857 0.0008035714 0.0011049107 0.00375 0.0035714286 0.0011607143 0.0035491071 0.00091517856 0.0007924107 0.000703125 0.0008370536 0.008002232 0.01140625 0.0017299107 0.0026227678 0.00811384 0.0070200893 0.0021540178 0.0019866072 0.06482143 0.0078125 0.00082589284 0.0016294643 0.010825893 0.0049888394 0.0008816964 0.0013392858 0.0037276787 0.0013950893 0.0018861607 0.0022209822 0.0034486607 0.0028348214 0.0021763393 0.0036160715 0.002611607 0.00065848214 0.00060267857 0.0014620536 0.0043191966 0.0014285714 0.0016852679 0.0032589287 0.003046875 0.0021986607 0.0006696429 0.002466518 0.0023883928 0.0037388392 0.0030691964 0.0011049107 0.0020870536 0.0020647321 0.00016741072 0.00053571427 0.0029352678 0.0012723214 0.0017075893 0.0020647321 0.0040066964 0.00036830356 0.0029910714 0.002377232 0.010825893 0.006160714 0.00068080355 0.00084821426 0.0036383928 0.0015401785 0.00097098213 0.00041294642 0.0017633928 0.001015625 0.0010267857 0.00060267857 0.008738839 0.001171875 0.0005022322 0.012544643 0.0026785715 0.013125 0.0009375 0.00044642857 0.0022767857 0.016886162 0.0009375 0.043359376 0.00078125 0.0111941965 0.00036830356 0.0005245536 0.001997768 0.0003236607 0.00035714285 0.0006919643 0.0003794643 0.00051339285 0.00035714285 0.00025669642 0.0010267857 0.00033482144 0.00033482144 0.00030133929 0.000703125 0.0004017857 0.00045758928 0.00043526787 0.0016741072 0.000703125 0.00058035715 0.00060267857 0.00059151783 0.0005245536 0.0005245536 0.0006919643 0.0010602679 0.0005245536 0.00049107143 0.0005245536 0.00065848214 0.00024553572 0.000390625 0.0005022322 0.0013169643 0.00024553572 0.00029017858 0.00018973215 0.00059151783 0.00027901787 0.00034598215 0.0017410715 0.0028683036 0.0012388392 0.0007366071 0.0011160715 0.00081473216 0.00030133929 0.00051339285 0.0006361607 0.011272321 0.00234375 0.0010825893 0.0059933034 0.004408482 0.0006696429 0.0016517857 0.003515625 0.0027120535 0.0034040178 0.00082589284 0.0014732142 0.04546875 0.00053571427 0.0013727678 0.0017745536 0.0027901786 0.0006919643 0.0028794643 0.00068080355 0.00058035715 0.000546875 0.0010825893 0.0012165179 0.0031696428 0.0012723214 0.0007924107 0.0020200892 0.0011272321 0.00044642857 0.000703125 0.00055803574 0.0030357144 0.00053571427 0.00053571427 0.00051339285 0.000703125 0.00047991073 0.00043526787 0.000390625 0.009174108 0.004073661 0.00097098213 0.004799107 0.004174107 0.0007924107 0.00051339285 0.00047991073 0.0034933037 0.0007700893 0.00084821426 0.00053571427 0.00082589284 0.00046875 0.0020535714 0.0011049107 0.0023549108 0.0010044643 0.0012165179 0.000625 0.00060267857 0.0007589286 0.0016964285 0.031941965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008800418 0.00036904978 0.0002043968 0.00023846293 0.00023846293 0.00013058685 7.3809955e-05 9.084302e-05 0.00090843026 3.4066135e-05 2.2710756e-05 6.813227e-05 0.00027820675 6.245458e-05 3.4066135e-05 7.3809955e-05 0.041123502 0.0016067859 0.0016578852 0.0012888354 0.0016862736 0.0014534884 0.00093114097 0.00067564496 0.0029523983 0.0008630087 0.00043718205 0.00032362828 0.0008857195 0.00044853744 0.00057344657 0.0012320585 0.022818632 0.0010901163 0.0007210665 0.0012207031 0.0010333394 0.001442133 0.0021404887 0.0013229016 0.0003633721 0.00033498366 0.0002668514 0.000255496 0.000255496 0.00038040517 0.0005280251 0.0007097111 0.06163699 0.0045591844 0.0046670604 0.0049850107 0.004530796 0.0039743823 0.012388717 0.0070005907 0.0013001908 0.0010844386 0.0023335302 0.00074945495 0.0009254633 0.0015500091 0.0013740007 0.0032192497 0.03579215 0.004491052 0.0036564318 0.0036053325 0.00292401 0.0027593568 0.003287382 0.0027593568 0.0014478107 0.000601835 0.0005677689 0.0005337028 0.0021745549 0.0011582485 0.001186637 0.0028218115 0.011088527 0.0005507358 0.000601835 0.001112827 0.0018338935 0.00090843026 0.00047124818 0.0007153888 0.0017941497 0.0004087936 0.00036904978 0.00043718205 0.0014875545 0.00065293425 0.00032362828 0.00049963663 0.008885583 0.0014648438 0.0019360919 0.0014080668 0.006500954 0.0014932322 0.0005280251 0.001021984 0.0055187135 0.00038040517 0.00023278524 0.0004031159 0.01127589 0.00054505817 0.0026741915 0.0022426872 0.1015625 0.01800963 0.027054189 0.020064952 0.11135651 0.023846293 0.010821675 0.02405069 0.096662655 0.004434275 0.0034747457 0.009669105 0.067723475 0.014637082 0.023153616 0.036501862 0.007063045 0.0013285793 0.0024584392 0.0016408521 0.008164517 0.0017771167 0.0009652071 0.0019190589 0.007375318 0.00069267803 0.00036904978 0.00085165334 0.004689771 0.0013626453 0.002157522 0.0036961755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 428.0 10.231308 4379.0 0.014615209 0.0013701759 0.00045672528 0.0 0.021466088 0.00045672528 0.0006850879 0.0006850879 0.0022836265 0.0 0.0 0.0006850879 0.0022836265 0.026261704 0.016898835 0.00091345055 0.011189769 0.007079242 0.0022836265 0.005023978 0.0018269011 0.00022836264 0.0006850879 0.00091345055 0.0036538022 0.016213747 0.0 0.004567253 0.002511989 0.0015985385 0.0006850879 0.0011418132 0.005709066 0.096369036 0.0018269011 0.009134506 0.013245033 0.013245033 0.0038821648 0.0038821648 0.03288422 0.0029687143 0.00091345055 0.0020552638 0.0102763185 0.0020552638 0.0006850879 0.0020552638 0.0059374287 0.0015985385 0.0066225166 0.007079242 0.016213747 0.018040648 0.027403517 0.029002056 0.005023978 0.0018269011 0.0018269011 0.0027403517 0.011189769 0.015071934 0.022379538 0.031742405 0.0034254396 0.030828957 0.004567253 0.024434803 0.018497374 0.050468143 0.0121032195 0.0073076044 0.0059374287 0.026946792 0.00045672528 0.002511989 0.02945878 0.012559945 0.021922814 0.022151176 0.016213747 0.00022836264 0.034254394 0.025804978 0.041333638 0.018040648 0.0020552638 0.005709066 0.012331583 0.006850879 0.0036538022 0.0006850879 0.003197077 0.00091345055 0.0015985385 0.0 5.6182613 0.0 0.0 0.0 2.0 89600.0 110592.0 1.0 4.0 87.0 1.0 1.0 0.0 0.0 0.0 1686407400.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 10.0 0.0 61952.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 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 18944.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -61952.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.200892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5830503 0.0 0.0 0.0 0.0 4.917286 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3102458 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.218532 0.0 3.4162657 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18638.0 0.0 0.0 0.0 0.0 4152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61543.0 0.0 1072.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 172.0 84880.0 380.0 85052.0 1072.0 102400.0 4152.0 94208.0 0.0 0.0 652.0 106496.0 84.0 76544.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 70512.0 0.0 0.0 840.0 72720.0 0.0 0.0 0.0 0.0