Input: 0.48366287 0.0020888285 0.001030429 0.001038105 0.003100475 0.0006533804 0.0006369819 0.0006662898 0.0006130239 0.0031011729 0.00042333655 0.00052818214 0.0004992231 0.00031366447 0.0003034881 0.0004742765 0.0005287055 0.0003646044 0.0002848799 0.0003252946 0.00029965016 0.00036536038 0.00029965016 0.000335878 0.00028046046 0.00028412396 0.00023312586 0.0002452212 0.0011096883 0.00024091803 0.00026057294 0.00024841947 0.0022320535 0.0003373899 0.00023475407 0.00025283892 0.00032355008 0.00024144139 0.000373327 0.00027807627 0.0011926693 0.00029389324 0.00022155388 0.001410269 0.00043531557 0.0002897064 0.0003289581 0.00021230793 0.0031480421 0.00035541662 0.0013520601 0.0014264348 0.00032831842 0.00031343187 0.0003483804 0.00028272835 0.0012229658 0.0003391926 0.0003853642 0.00037053577 0.0002742965 0.0002537112 0.00028941565 0.00032465495 0.00043240804 0.00041356724 0.00037925836 0.00042217353 0.005189885 0.00039478458 0.00037716495 0.00033773883 0.0003828637 0.00090296287 0.00066396384 0.00028092565 0.0003792002 0.005645146 0.00045363302 0.00036408106 0.01627322 0.00029273026 0.0002811001 0.0003579171 0.00034076266 0.0013865435 0.00030540707 0.00025836323 0.0002976149 0.00028272835 0.0013196702 0.00097506965 0.00027720403 0.00026080554 0.00022469401 0.0012561117 0.00040315828 0.00064768165 0.002287413 0.007140955 0.0013830544 0.0011646406 0.0004049028 0.00050788757 0.0008683051 0.0017446931 0.00050788757 0.0014683614 0.00064744905 0.00041321834 0.00062401436 0.0013588638 0.0004670658 0.0012027875 0.0032334654 0.00058796094 0.0007822422 0.00048654628 0.0044443943 0.00069280656 0.0004957922 0.00033372644 0.00045938994 0.0020926083 0.00045799432 0.00064710015 0.0010508981 0.0009599505 0.021944592 0.0005100391 0.010777055 0.00087580655 0.0019000716 0.00044153768 0.0008244014 0.0004754395 0.0006441345 0.0005593508 0.0018815798 0.0005827856 0.001588268 0.0003965291 0.00091267406 0.00060918595 0.0010494443 0.0013193213 0.0009929219 0.00040548432 0.000765553 0.0012451793 0.00042054532 0.004803009 0.00041967304 0.00058644905 0.00037169878 0.001117655 0.00081323646 0.00031093138 0.0010920105 0.00063163205 0.0015189524 0.0005716788 0.00030546522 0.0004251392 0.0023189306 0.0004010067 0.0004693337 0.0044136904 0.0007433394 0.00027836705 0.00097245286 0.0014426007 0.00066192856 0.00037582748 0.0006205835 0.00046834513 0.00092436234 0.0034072194 0.0010998609 0.029030245 0.0002558046 0.0010103671 0.0011614424 0.00038542235 0.005970906 0.0012169762 0.000283368 0.0002827865 0.00024853577 0.0007885225 0.0022439163 0.0008548142 0.00047288087 0.0005051545 0.0052830423 0.001314146 0.00030238324 0.0002638294 0.0005378351 0.000651287 0.0010101345 0.0003031392 0.00028505435 0.0007921278 0.00041554435 0.0010934643 0.0005311478 0.00028173978 0.0003220963 0.0003122107 0.00027447095 0.00028255387 0.0002830191 0.000410776 0.001682065 0.0005927293 0.005636656 0.0004593318 0.00050044426 0.00028906675 0.00025737466 0.00095023937 0.0005112603 0.00044438706 0.00034477506 0.00032802767 0.00026848144 0.0008722594 0.0003983318 0.0002829028 0.00031575788 0.00027755293 0.0003682679 0.00027906484 0.0052332073 0.00042322025 0.0003120944 0.0019636885 0.000320817 0.0013760182 0.0017169553 0.00053812587 0.00039065588 0.0004228132 0.00037437372 0.00038053768 0.00039722692 0.0004992813 0.0014621974 0.0008299257 0.0012260478 0.0010105416 0.00054219645 0.0004820105 0.0006117446 0.21618867 0.10848349 8.6071495e-06 3.8412312e-05 2.6083151e-05 4.5943566e-06 1.4713572e-05 5.3765605e-05 1.8435583e-05 0.00017156142 6.6589096e-06 7.0078477e-06 2.5879604e-06 1.1049718e-06 9.305026e-07 1.8319271e-06 0.0002597847 0.031480096 3.1549855e-05 3.5184632e-05 0.00011305607 4.169815e-05 4.0476865e-05 0.00022919443 0.00010953761 0.0004911891 5.920323e-05 6.68508e-05 2.4658319e-05 1.20383775e-05 3.0735664e-05 1.6836282e-05 0.00038825223 0.022989841 4.658329e-05 4.6263427e-05 0.000155045 6.71125e-05 6.144225e-05 0.0002098865 0.00014527472 0.0006109331 8.342537e-05 8.999705e-05 0.00012230294 4.1814463e-05 4.4198874e-05 4.1000272e-05 0.0011500722 0.03234395 6.702527e-05 9.052046e-05 0.00020264603 0.00021360851 0.00019031686 0.00043867383 0.00028333804 0.0014636224 0.00013832503 0.00017234654 0.0006057863 0.00010125032 0.00012326252 0.00010456523 0.007231605 0.038614433 0.00010389643 0.0002149461 0.00039424232 0.00038665292 0.00054062204 0.0008355623 0.00052268076 0.0024628951 0.00033509725 0.00038429757 0.0009852569 0.00029142178 0.00037955784 0.00030630984 0.021131597 0.05067619 0.00013756899 0.0004999998 0.0005480079 0.00059651036 0.0014190746 0.0021247445 0.0010166613 0.0054271272 0.00046769387 0.00056245975 0.005416892 0.0005325674 0.00087822 0.00066682143 0.03890321 0.04627951 0.00015635352 0.0005784528 0.0007689441 0.0010189585 0.003646756 0.002225617 0.0013682168 0.0067935414 0.0009128231 0.00081424793 0.007359985 0.00096580357 0.0013867106 0.0014266932 0.050250225 0.053495612 0.00022931074 0.00038124438 0.0015168065 0.0017906069 0.005976502 0.0028140144 0.0022288444 0.008146289 0.0012890369 0.0013099732 0.009536256 0.002269496 0.0024525141 0.0021745556 0.053269356 0.041883696 0.00041660346 0.0004385866 0.0011312586 0.002662226 0.0027602778 0.0032307634 0.0028118917 0.0050349496 0.001537452 0.0015881354 0.010336139 0.0019340497 0.0018435002 0.0020808366 0.026788909 0.036365263 0.00064774614 0.0008855477 0.0014147129 0.0038635633 0.0024468438 0.0025631858 0.0022822032 0.0044359094 0.001571241 0.0021056111 0.0065303254 0.0018609471 0.001179383 0.0016577195 0.011776267 0.020955123 0.00036481518 0.0005006104 0.0011177371 0.0024140438 0.0026981086 0.0021584171 0.0019571378 0.0024221565 0.0016820871 0.0022761838 0.0029572537 0.0015246285 0.0016895601 0.0018781904 0.008251494 0.0066941814 0.0001515847 0.00021096239 0.0005749634 0.00092209905 0.001618871 0.00093710335 0.0010254721 0.001249665 0.0011062513 0.000973044 0.00094443106 0.00066670513 0.0007563823 0.0007073274 0.0035548108 0.002130124 0.00012268095 0.00027455643 0.0002255015 0.00029345727 0.00040878143 0.00044094192 0.0006676938 0.0009257047 0.0010419012 0.0006301538 0.00033329442 0.00028173876 0.00022207026 0.00017310257 0.0008802264 0.0021595804 0.0003125907 0.0011501303 0.00032189576 0.00029712112 0.0002635358 0.0006544632 0.0012312585 0.002008577 0.0025828427 0.0017505081 0.0011166614 0.00084079633 0.00017031106 0.00013125903 0.00078979315 0.0012076761 0.00031506238 0.0010758645 0.00035565556 0.00033111355 0.00028810688 0.00057371304 0.00074114534 0.001041058 0.0014283215 0.001179034 0.00089627755 0.0006657455 0.00014501302 8.854314e-05 0.00050616433 0.003385314 0.0025901122 0.002232712 0.0021415227 0.0021138403 0.0020138985 0.0020751662 0.001981738 0.002238266 0.0021018018 0.0020768528 0.0019993593 0.0020522235 0.0019060764 0.001907734 0.0019618485 18193.0 9.606552 174772.0 0.017479917 0.004491566 0.0023344702 0.0025175659 0.004852036 0.0027063831 0.0023173047 0.0019568352 0.0034101573 0.00480054 0.0021685397 0.0030096355 0.004606001 0.004251253 0.00506374 0.0021971483 0.05533495 0.0058247317 0.017256768 0.004474401 0.0046231663 0.0035017051 0.0032442268 0.0032270616 0.004731879 0.00437141 0.0029581396 0.002265809 0.002094157 0.0022085917 0.0021628179 0.0019453918 0.004674662 0.0072780536 0.006911862 0.013320211 0.011672351 0.0109113585 0.00818781 0.008393793 0.006980523 0.01666743 0.0035188703 0.0043656877 0.008147758 0.007180784 0.0071636187 0.0055786967 0.012587829 0.0049950792 0.005384158 0.014916577 0.01058522 0.004256975 0.008307967 0.0039136703 0.0040166616 0.003925114 0.0035303137 0.015093951 0.0024317396 0.0017737395 0.0014819307 0.0031240701 0.0025862267 0.035852425 0.03156684 0.02430023 0.028974893 0.06586295 0.010259081 0.012267412 0.010894193 0.03691667 0.002403131 0.0055786967 0.029981919 0.015431534 0.030136406 0.05190763 0.01242762 0.0024088526 0.044824112 0.022406336 0.049138308 0.014121255 0.0058533405 0.0065285056 0.009023185 0.0063797403 0.002820818 0.0014819307 0.0022829743 0.0014990959 0.0013503308 0.0028665918 5.8200316 2.0 25.0 0.0 11.0 17196720.0 17190912.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1522154100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 0.0 1024.0 4096.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 17179136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.456313 0.0 3.5185344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -112.0 0.0 17178796.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17178796.0 8192.0 0.0 0.0 16048.0 17180672.0 0.0 0.0 28.0 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


Input: 0.22644816 0.003991997 0.0041444357 0.0019817073 0.004858994 0.0015339177 0.0005335366 0.00062881096 0.0070503047 0.0005716463 0.000695503 0.00031440548 0.0038776677 0.0012004573 0.00050495425 0.0018387957 0.0015910823 0.0005621189 0.00042873475 0.0002667683 0.0014481707 0.0022389481 0.00035251526 0.00022865854 0.0011337652 0.0006097561 0.00019054877 0.00023818598 0.0006573933 0.00016196647 0.00015243902 0.0002477134 0.0046875 0.00030487805 0.0009051067 0.00040967987 0.0017054116 0.0014672256 0.0004858994 0.00041920732 0.00081935973 0.00043826218 0.00031440548 0.0005621189 0.00066692074 0.00045731707 0.0006097561 0.00027629573 0.0024676067 0.0016673019 0.0015529726 0.004039634 0.0023056401 0.00081935973 0.0010289634 0.0009051067 0.0011909299 0.0011528201 0.0010194359 0.0040015243 0.0011909299 0.001171875 0.00094321644 0.0016387195 0.004058689 0.0020388719 0.009832317 0.00059070124 0.0012004573 0.011471037 0.00041920732 0.00060022867 0.00087652437 0.00050495425 0.0004858994 0.00027629573 0.001171875 0.009203506 0.0006478659 0.00050495425 0.0060689785 0.0036204269 0.0012957318 0.0028296495 0.0011814025 0.0050876522 0.002905869 0.002734375 0.00087652437 0.00234375 0.0008955793 0.0025152438 0.00075266766 0.0035918446 0.0025438261 0.005383003 0.00050495425 0.0038967226 0.0011051829 0.0025152438 0.0036966463 0.0046493905 0.0013719512 0.00087652437 0.0033917683 0.003296494 0.003020198 0.000695503 0.0023246952 0.0013433689 0.0026962652 0.0028963415 0.0016101372 0.00030487805 0.0040110517 0.003925305 0.0067549543 0.0035537349 0.00094321644 0.00083841465 0.0009527439 0.0008479421 0.00035251526 0.00020960366 0.0003620427 0.0010384909 0.00033346037 0.00030487805 0.0014672256 0.0044778963 0.00029535062 0.0059355944 0.0013147866 0.004211128 0.00021913109 0.00041920732 0.0006478659 0.006831174 0.00074314023 0.025438262 0.0005811738 0.006678735 0.00022865854 0.00020960366 0.0020579267 0.00079077744 0.000695503 0.0005811738 0.00037157012 0.0007050305 0.0003620427 0.0003429878 0.00054306403 0.00023818598 0.00033346037 0.00032393294 0.0006192835 0.0004668445 0.0005144817 0.00043826218 0.0006097561 0.0017530487 0.0003429878 0.0008098323 0.0004668445 0.00035251526 0.00023818598 0.00025724084 0.00045731707 0.00028582316 0.00030487805 0.002191311 0.0004858994 0.00014291158 0.00014291158 0.00020960366 0.00094321644 0.00022865854 0.0001714939 0.00022865854 0.00047637196 0.00033346037 0.0009908536 0.00031440548 0.003382241 0.0022675304 0.00033346037 0.0001714939 0.00041920732 0.0024866615 0.00037157012 0.00020007622 0.003363186 0.0005144817 0.001324314 0.0026391007 0.0048685214 0.0006478659 0.0008288872 0.0021817836 0.0019054879 0.00060022867 0.0005716463 0.00021913109 0.3072218 0.00071455794 0.00038109755 0.0003429878 0.0009717988 0.00027629573 0.00028582316 0.00020007622 0.00091463415 0.00015243902 0.00040967987 0.00020960366 0.0010670732 0.00014291158 0.0001714939 0.00028582316 0.00078125 0.0001714939 0.0001714939 0.00029535062 0.001324314 0.00041920732 0.00040015244 0.00032393294 0.001324314 0.002905869 0.0003429878 0.00033346037 0.011814024 0.005659299 0.00011432927 0.001867378 0.009651296 0.0001714939 0.00016196647 0.00015243902 0.0013528963 0.00030487805 0.00020007622 0.0021817836 0.004106326 0.00013338415 0.00029535062 0.00013338415 0.005078125 0.00027629573 0.0002667683 0.0004668445 0.0035346798 0.00060022867 0.00349657 0.048875764 0.019753635 0.0 1.4503404e-05 0.0 6.768255e-05 5.3179145e-05 9.6689355e-06 0.0 3.8675742e-05 4.8344677e-06 0.0 9.6689355e-06 0.10865466 9.6689355e-06 4.834468e-05 4.834468e-05 0.0008411974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009059792 0.0 0.0 0.0 0.027933555 0.00017887531 0.00018854425 0.00014019957 0.00047377785 0.00031907487 0.0005027847 0.00042543316 0.0001498685 0.0001353651 7.251702e-05 8.218595e-05 0.018148592 3.3841276e-05 0.00036741956 0.00035291616 0.008706877 1.4503404e-05 4.3510212e-05 4.3510212e-05 0.00026589574 6.768255e-05 0.00034324723 0.00013053064 0.00010152382 1.4503404e-05 9.6689355e-06 0.0 1.9337871e-05 1.4503404e-05 1.9337871e-05 0.00010635829 0.030694036 0.00017887531 0.00045443999 0.0003625851 0.00054629485 0.00025139234 0.0011070932 0.0007493425 5.8013615e-05 0.00032390933 0.00015953743 9.185489e-05 0.004181815 6.2848085e-05 2.9006807e-05 0.00035291616 0.023998298 0.00076868036 0.001290803 0.00041576423 0.0016727259 0.0004979502 0.0006284808 0.00086536974 0.00044477105 0.00064298423 4.3510212e-05 0.00014019957 0.015736192 0.00011602723 0.000299737 0.001943456 0.014788637 0.00015953743 0.0003770885 0.0003142404 0.0007976872 0.00038675743 0.0012279549 0.00064298423 0.0005124536 0.0009427212 0.0004060953 0.00014019957 0.0076529626 0.00013053064 0.0002852336 0.00093788677 0.004931157 1.4503404e-05 1.9337871e-05 1.9337871e-05 0.00029490254 0.0005898051 0.0024462407 0.0014213335 1.4503404e-05 2.9006807e-05 9.6689355e-06 9.6689355e-06 2.417234e-05 1.9337871e-05 3.8675742e-05 1.9337871e-05 0.0279819 0.00017404085 0.0048828125 0.0024510752 0.0016243812 0.0020933247 0.012352065 0.0070631574 0.00010635829 0.00012569617 0.00010635829 8.7020424e-05 0.00010152382 7.7351484e-05 9.668936e-05 8.218595e-05 0.006584545 0.00018370978 0.00046410892 0.0004979502 0.0014310025 0.0013101408 0.004225325 0.002581606 0.0001643719 0.00017887531 0.00015470297 0.00019821318 0.00020788211 0.00018854425 0.0013391476 9.185489e-05 0.0047571165 0.00025139234 0.00068165996 0.0011312654 0.003098894 0.0019386216 0.0031714109 0.0023833925 0.0017017326 0.00029490254 0.00039642636 0.0006623221 0.013575186 0.00021755105 0.0025767714 0.0027653156 0.01726872 0.0010394106 0.0017210705 0.00907913 0.0037950573 0.0037370436 0.0026686261 0.0022963723 0.004215656 0.001943456 0.0013053063 0.0016823948 0.016930306 0.0011215965 0.0047716196 0.005632155 0.045709893 0.0050665224 0.0029296875 0.0078270035 0.020836556 0.02553566 0.0056708306 0.0048102955 0.03720123 0.003026377 0.0046362546 0.0068359375 0.10289198 0.0028039913 0.019511912 0.041339535 0.019690787 0.0024849165 0.0013391476 0.0034856512 0.009407874 0.008281443 0.003925588 0.0031375696 0.015745861 0.001725905 0.0018032565 0.0034469755 0.03587175 0.0017017326 0.00799621 0.01856919 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 314.0 20.71656 6505.0 0.04765565 0.0012298232 0.0013835512 0.0029208302 0.0067640278 0.0029208302 0.0012298232 0.003074558 0.0019984627 0.0012298232 0.0007686395 0.0009223674 0.001537279 0.0023059186 0.006149116 0.0016910069 0.00953113 0.011375865 0.009838586 0.00876249 0.006302844 0.0024596464 0.0058416603 0.0039969254 0.006302844 0.0069177556 0.004611837 0.003074558 0.0052267485 0.005995388 0.0075326674 0.01614143 0.04488855 0.010760953 0.0052267485 0.0038431976 0.010607225 0.0072252112 0.0029208302 0.0036894695 0.0027671023 0.0039969254 0.0012298232 0.0009223674 0.004458109 0.0016910069 0.0035357417 0.0019984627 0.007378939 0.004765565 0.0029208302 0.004765565 0.0041506533 0.004765565 0.0050730207 0.0024596464 0.006456572 0.0012298232 0.007378939 0.0016910069 0.003074558 0.0007686395 0.0010760953 0.039354343 0.0010760953 0.050115295 0.012913144 0.031667948 0.028900845 0.059953883 0.009377402 0.009069947 0.013989239 0.039815526 0.003228286 0.0053804764 0.026594928 0.014911607 0.032436587 0.03674097 0.013374328 0.0009223674 0.04411991 0.047348194 0.06348962 0.017371252 0.006302844 0.006149116 0.0072252112 0.0072252112 0.0026133743 0.0001537279 0.0009223674 0.0004611837 0.0006149116 0.0007686395 5.6197176 1.0 0.0 0.0 4.0 104960.0 192512.0 1.0 0.0 111.0 1.0 1.0 0.0 0.0 0.0 1541907000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 75776.0 1024.0 4096.0 9.0 1.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -76288.0 -5632.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7503524 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 2.531398 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2266673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0576735 -4.919181 2.815419 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2884.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 15426.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1884.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 -75976.0 -5353.0 1084.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 2.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 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 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 168636.0 1084.0 184320.0 0.0 0.0 0.0 0.0 2256.0 188416.0 56.0 156496.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 156552.0 0.0 0.0 700.0 167936.0 0.0 0.0 0.0 0.0


Input: 0.22059968 0.012049788 0.008673199 0.0062607587 0.0106842555 0.004245564 0.002826238 0.0031448624 0.009484243 0.0015393273 0.0018124338 0.00106346 0.0068193856 0.0029007217 0.0009724245 0.0063269665 0.006405588 0.0009062169 0.0007489738 0.00067035225 0.0050772973 0.0038772842 0.0009807005 0.00067035225 0.0038317663 0.0012207031 0.00074069784 0.0007944915 0.0029131356 0.0010965639 0.00067862816 0.001071736 0.0070097325 0.00089794095 0.00096414855 0.0008524232 0.025138209 0.0013944982 0.00049241923 0.00090207893 0.0018579515 0.00047172935 0.0006000066 0.0020855402 0.0015848451 0.0010220802 0.0013944982 0.00039724575 0.003000033 0.00070759404 0.001059322 0.00744422 0.0018993313 0.0014813957 0.00075311173 0.00061655854 0.0022510593 0.004084183 0.0007862156 0.0048041907 0.0016345008 0.0015020856 0.00064552436 0.0008151814 0.002846928 0.003405555 0.006430416 0.017491227 0.009355965 0.005875927 0.0028758938 0.0014813957 0.0020069187 0.0013613943 0.0008689751 0.0006579383 0.0055531645 0.002838652 0.0012993247 0.0011213917 0.012235997 0.004733845 0.004419359 0.006968353 0.0052552302 0.0031696903 0.0051186774 0.0043490133 0.0012993247 0.0037903867 0.00043448756 0.0017545021 0.0041172868 0.0029214115 0.0028552038 0.0026483051 0.0014813957 0.0047545354 0.00106346 0.0024289924 0.0045269467 0.007845604 0.00640145 0.001245531 0.010179423 0.0045393603 0.006591797 0.00093518273 0.0052469545 0.001253807 0.004419359 0.0050772973 0.0029255496 0.00042207362 0.008093882 0.0070262845 0.014044293 0.011118744 0.0027310646 0.0022303695 0.0015517413 0.0011338056 0.00043448756 0.0005875927 0.002304853 0.0018869174 0.001080012 0.0010220802 0.0038441804 0.0015144994 0.0006248345 0.017031912 0.005139367 0.0080318125 0.0006331104 0.00057931675 0.0021765758 0.011768405 0.001245531 0.027964447 0.0024372684 0.013882912 0.000537937 0.00045103946 0.0012951867 0.00032276218 0.00042207362 0.000711732 0.0016386388 0.00058345473 0.00047172935 0.00036414195 0.0006041446 0.0004427635 0.0002524166 0.00046345338 0.0011172537 0.0005006952 0.0005089711 0.0004593154 0.00083587127 0.0022138176 0.00028965838 0.0009972524 0.0006951801 0.00046345338 0.00036827993 0.00021931276 0.00096001057 0.00036827993 0.00045517745 0.00045517745 0.00075311173 0.0003889698 0.001075874 0.00031034826 0.0011958752 0.00030621028 0.00034759004 0.00041793563 0.0011669095 0.00090207893 0.00046345338 0.0015600172 0.0028924458 0.0017379503 0.00074069784 0.00043034958 0.0009144929 0.0006000066 0.0011131157 0.0007200079 0.009240102 0.0033558991 0.0022427833 0.004746259 0.00922355 0.0006910421 0.0027724444 0.0047297073 0.0023627847 0.002486924 0.00055862684 0.000711732 0.014921544 0.00051724707 0.000889665 0.0007779396 0.0015062235 0.0026400292 0.0015641552 0.00086483714 0.00096828653 0.00066621427 0.0014027741 0.0009144929 0.001593121 0.000355866 0.00049241923 0.0011793234 0.0008151814 0.0004055217 0.00048414327 0.0003889698 0.0035379701 0.0017503641 0.0008151814 0.00032276218 0.0018124338 0.0010096664 0.0005048332 0.00022758872 0.01932849 0.0029255496 0.00052552304 0.0043407376 0.0031324483 0.00039724575 0.00064966234 0.00052138505 0.0032276218 0.0008151814 0.00054207497 0.00077380164 0.0016717425 0.0007489738 0.0023545087 0.002478648 0.0050069517 0.0012910487 0.0012248411 0.0020689883 0.0034510726 0.003405555 0.0039931475 0.044528767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0067652925 0.00019946808 0.00014752327 4.3633645e-05 0.00037192486 9.973404e-05 0.00012258976 0.00013713431 7.064495e-05 2.493351e-05 4.7789228e-05 6.8567155e-05 5.4022606e-05 6.441157e-05 0.00017453458 0.000118434175 0.0063248007 0.0001683012 0.00015375664 1.662234e-05 0.00047997007 7.687832e-05 6.233378e-05 6.8567155e-05 4.7789228e-05 0.00019946808 4.7789228e-05 3.7400267e-05 0.00013505651 5.1944815e-05 0.0001683012 0.00047165892 0.039097823 0.00037608045 0.0020216922 0.0006420379 0.003185256 0.0028818983 0.0095723905 0.006281167 0.00015167886 0.00053399266 0.0002534907 0.00016206782 0.0003573803 0.00017869016 8.934508e-05 0.0023001165 0.045015376 0.0003054355 0.0031208445 0.0025078957 0.0046023107 0.0045254324 0.013688497 0.009435256 0.00023271277 8.103391e-05 6.233378e-05 6.233378e-05 0.00023063498 0.00014960107 7.687832e-05 0.0010098072 0.010866855 0.00017245678 0.000901762 0.00040516956 0.0017619681 0.0010451296 0.005547706 0.0028091755 0.00031374668 8.103391e-05 4.7789228e-05 0.000101811835 0.000500748 0.00021401263 6.648936e-05 0.0006960605 0.0045025763 9.5578456e-05 0.0006856715 0.0005069814 0.00059217087 0.00041555852 0.002715675 0.0014128989 8.31117e-05 0.00012466755 0.00026803525 0.00023063498 8.5189495e-05 9.765625e-05 6.0255985e-05 0.0008892952 0.005146692 0.00022855718 0.00046334774 0.00046126996 0.0007376164 0.00056931516 0.002034159 0.0012238198 0.0004695811 0.00031166887 0.00028465758 0.00029920213 0.0015874335 0.00020570146 0.00026595744 0.0027322972 0.005778341 0.000500748 0.0010575964 0.0006046376 0.0010368185 0.00082280586 0.002944232 0.0021172706 0.0023416723 0.00039685838 0.00060048205 0.0007770944 0.00085189496 0.00051737035 0.0009100731 0.0042740195 0.09494889 0.014388713 0.020449635 0.013162816 0.026460689 0.02707156 0.015924202 0.01590758 0.049852476 0.0050033242 0.0051633143 0.007590176 0.028461602 0.0069460603 0.019338015 0.032309674 0.07880236 0.0153091755 0.01820354 0.015236453 0.026414977 0.028816905 0.015562667 0.019375416 0.044703707 0.0034325132 0.0040413067 0.006181433 0.028195646 0.007856133 0.020752992 0.033072226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1271.0 9.411487 11962.0 0.033439223 0.00075238256 0.0012539709 0.0020899514 0.05860224 0.0025915399 0.0005851864 0.0038455108 0.0051830797 0.0010867747 0.00075238256 0.0010867747 0.0030931283 0.0019227554 0.0024243437 0.0008359806 0.008777796 0.001337569 0.0019227554 0.0038455108 0.0048486874 0.00091957866 0.002758736 0.0010867747 0.005517472 0.02716937 0.00075238256 0.0022571476 0.0060190605 0.0005851864 0.0008359806 0.00075238256 0.0046814913 0.0050158836 0.0025079418 0.012456111 0.022989467 0.004514295 0.005768266 0.006938639 0.0050158836 0.0051830797 0.0010031767 0.0017555592 0.015298445 0.0035947165 0.0015883632 0.0025079418 0.037201136 0.009780973 0.011703729 0.038455106 0.011369336 0.0058518643 0.021735495 0.024076242 0.004096305 0.0035111185 0.0005851864 0.0044306973 0.011118542 0.0048486874 0.0046814913 0.0071058352 0.0066878446 0.028423341 0.0049322858 0.019561946 0.019896338 0.05818425 0.006938639 0.0075238254 0.022989467 0.030011704 0.0051830797 0.0023407456 0.03143287 0.008443404 0.027420163 0.03360642 0.010700552 0.0011703728 0.046229728 0.03669955 0.050827622 0.016301623 0.00560107 0.0031767264 0.004263501 0.007189433 0.0020063533 0.00050158834 0.009279384 0.00033439224 0.00050158834 0.001337569 5.667982 0.0 0.0 0.0 3.0 241664.0 356352.0 1.0 0.0 169.0 0.0 0.0 0.0 0.0 0.0 1354110600.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 181248.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181248.0 0.0 83456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4932985 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2695835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.551354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54786.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181233.0 0.0 82984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 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 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 239232.0 82984.0 270336.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 189216.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 231688.0 0.0 0.0 704.0 188416.0 0.0 0.0 0.0 0.0


Input: 0.121452406 0.010415922 0.007057676 0.00806515 0.00731669 0.0059823226 0.0033475284 0.0037798134 0.012096832 0.002206082 0.0020095888 0.0016398245 0.006489632 0.003302871 0.0015433643 0.008590323 0.0075721308 0.0016166026 0.0013075725 0.0018345313 0.0057751117 0.0023561313 0.0012164711 0.0011896766 0.0038244708 0.0017470026 0.0011807451 0.0012236163 0.0032224874 0.0011825314 0.0010628492 0.0013718794 0.004476471 0.0010164054 0.0015255013 0.0011432328 0.019049115 0.0024222245 0.0010092602 0.0010860711 0.0021971506 0.0013647341 0.0010128327 0.005173128 0.0017237806 0.0011628821 0.0010789259 0.00095567113 0.0038744872 0.0022632435 0.002195364 0.006268131 0.0027973477 0.0047390573 0.0022686026 0.0023061149 0.0032474955 0.0031742572 0.0024168654 0.004939123 0.0026883832 0.0023739943 0.0021131944 0.0021739285 0.0043210625 0.0023043286 0.0017827286 0.0019006245 0.0103480425 0.020503165 0.0031135231 0.013286509 0.002824142 0.0014504766 0.001464767 0.0012075396 0.0043228487 0.007079112 0.0015844492 0.0012879232 0.0065789474 0.0032189148 0.0013361534 0.0030617202 0.0026883832 0.004435386 0.0033975448 0.0030331395 0.0023293367 0.004428241 0.0014308273 0.0017702245 0.0036797805 0.0049176873 0.0022560984 0.001945282 0.002081041 0.0016469697 0.0010467725 0.0015219286 0.0039923834 0.0036619175 0.0025240437 0.0012003945 0.0061055776 0.0051641967 0.005510739 0.0024240108 0.0022989698 0.0012879232 0.0016987724 0.0018791889 0.0024043615 0.000978893 0.0026079998 0.0021649972 0.008329523 0.008265216 0.0016755506 0.0016826957 0.0023954299 0.0013558026 0.0010306959 0.001055704 0.0020899724 0.0026062136 0.0017130629 0.0014987068 0.0031224545 0.0017880875 0.0012003945 0.009767495 0.003640482 0.012614859 0.001262915 0.0011146519 0.002502608 0.012107549 0.0015255013 0.029788358 0.0017416436 0.011050059 0.0011253698 0.001186104 0.0021399888 0.001019978 0.0010824986 0.0013379396 0.0014004601 0.0017773698 0.00094138074 0.0011378739 0.0018238135 0.0011914629 0.0011128656 0.0010146191 0.0014915615 0.0023793532 0.0009896109 0.0013790246 0.0022257313 0.0022007232 0.0013361534 0.0016916272 0.0015469368 0.0018238135 0.0009610301 0.0010271232 0.0018434628 0.0010074739 0.00094852597 0.0011146519 0.0016916272 0.0010164054 0.00096817524 0.0033689642 0.002034597 0.0011021479 0.0010181917 0.0011271561 0.0019006245 0.002259671 0.0021828602 0.0017737971 0.0030813697 0.0013683067 0.0011092931 0.0011289424 0.0014361861 0.0017845149 0.001275419 0.0011307286 0.007300613 0.0058626407 0.0034439887 0.0034689968 0.0030438572 0.0011057204 0.0035011503 0.0056179175 0.0053428267 0.0030635067 0.001975649 0.0013093587 0.0032474955 0.0011986081 0.0014236821 0.0013004272 0.0031117366 0.0016898409 0.0017291396 0.0014058191 0.0026651614 0.001275419 0.0016916272 0.0013147177 0.0029098848 0.0020149478 0.0011182246 0.0016005259 0.015067451 0.012832788 0.004062049 0.0017130629 0.0042013805 0.001855967 0.0012164711 0.0010574904 0.0031349587 0.0014808438 0.0010932164 0.0010682081 0.013643769 0.0048265858 0.0012289752 0.003836975 0.005700087 0.0010914301 0.0012128985 0.0015737314 0.0046586734 0.0014611944 0.0015469368 0.0014486903 0.0031867614 0.002206082 0.002781271 0.0021131944 0.005907298 0.0018059505 0.00200423 0.0034332708 0.00818126 0.0040352545 0.008247353 0.06770082 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.010562106 0.00045692374 0.0005518922 0.00038076978 0.0015526448 0.00050888764 0.001398545 0.00083321385 0.0004802179 0.00039152094 0.00050978357 0.0008143994 0.0006952408 0.00052501436 0.0007785622 0.0015786267 0.0107395 0.0014290066 0.001499785 0.018544832 0.0024539493 0.0018276949 0.0024897864 0.0021063287 0.002028383 0.0015678756 0.0016816586 0.0018438217 0.0019217675 0.0019307268 0.001965668 0.0046848124 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.05836708 0.015331135 0.021610701 0.010408006 0.032690655 0.020399405 0.013044725 0.013564363 0.037455205 0.0032558057 0.0057276734 0.004992116 0.019471223 0.020557089 0.016535264 0.031360198 0.013882418 0.010733228 0.010663345 0.010535228 0.010945563 0.010468033 0.010612278 0.01033454 0.011296768 0.010932124 0.010695599 0.010800423 0.01045549 0.010521789 0.010641843 0.010793256 2008.0 10.396415 20876.0 0.020837326 0.0038800538 0.0054608164 0.0037842498 0.013268826 0.0036405441 0.004167465 0.00656256 0.0062272465 0.0034010347 0.004598582 0.005508718 0.0068020695 0.0044548763 0.006035639 0.0048859934 0.02423836 0.017819505 0.017005173 0.018633839 0.01968768 0.019160759 0.016621958 0.018106917 0.019831385 0.01896915 0.018250622 0.018921249 0.017963212 0.015616018 0.015520215 0.014370569 0.0076643033 0.008191224 0.004981797 0.009292968 0.010682123 0.0062751486 0.0070415786 0.007808009 0.00833493 0.0057482277 0.0035926423 0.004215367 0.008239126 0.0057003256 0.0045027784 0.006993677 0.013412531 0.0070415786 0.005891933 0.011448554 0.009628281 0.0057482277 0.0077601075 0.009532478 0.00555662 0.005077601 0.0048859934 0.0045027784 0.006993677 0.004311171 0.004023759 0.007424794 0.0076164017 0.017148878 0.008430734 0.016717762 0.016047135 0.03583062 0.008095421 0.008526538 0.01135275 0.017819505 0.008095421 0.0059877373 0.018154819 0.00934087 0.01743629 0.02222648 0.0094366735 0.0035926423 0.023376126 0.017723702 0.031998467 0.011783866 0.005508718 0.0062751486 0.009292968 0.007808009 0.004598582 0.0038800538 0.0065146578 0.0035447404 0.0034489366 0.005652424 6.3219366 0.0 9.0 0.0 6.0 559816.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 2.0 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 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 0.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553832.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0


Input: 0.007965182 0.0040058186 0.0034653735 0.004450161 0.0035877184 0.00354871 0.0036813389 0.0046838573 0.003235578 0.0031728097 0.004051565 0.0029646463 0.0038129038 0.0035838175 0.0041721365 0.0034657281 0.0027610927 0.0032263577 0.0032919631 0.0029561352 0.004962236 0.005265084 0.0029043604 0.0027355598 0.004744498 0.004290935 0.0033792004 0.0039622 0.005218274 0.004245544 0.0042427066 0.0031029491 0.003860778 0.0030320245 0.0033958675 0.004761874 0.004805493 0.0029359218 0.0034767215 0.004078162 0.004126745 0.0047044256 0.0053040925 0.0049033687 0.003307212 0.003549419 0.0033611145 0.002491934 0.0035724696 0.0044437777 0.0040338337 0.0035742428 0.0041866763 0.004910816 0.0039820587 0.0033600505 0.0047214474 0.005292745 0.0035274324 0.004271431 0.004124972 0.0047100997 0.0035671503 0.0026628622 0.0036816935 0.00377886 0.0034178542 0.0033802642 0.002727049 0.0044225003 0.0047221566 0.0041508595 0.0045498097 0.0048019467 0.005082808 0.0034983535 0.003450834 0.0043246243 0.004581726 0.0043604416 0.0039536892 0.0048001735 0.005289553 0.005063658 0.00499167 0.0051966417 0.0050820988 0.0046838573 0.0037767324 0.0036178613 0.0051874216 0.00392 0.004296609 0.003411471 0.0033487028 0.0024625005 0.0036912682 0.0031841577 0.0038153862 0.004668609 0.004021422 0.003362533 0.0034366492 0.0034717568 0.0035969387 0.0049093976 0.0063041286 0.004100858 0.003584172 0.0039625545 0.0044756937 0.0028543586 0.004189159 0.004805493 0.004880673 0.0050391895 0.0034526072 0.0034253013 0.004473921 0.003933121 0.0034284927 0.0037909173 0.005460481 0.0035121837 0.0030710332 0.0032072081 0.002982732 0.0019752488 0.0037004885 0.003841983 0.003420691 0.0040387986 0.002748681 0.0035433907 0.0036366563 0.0029692564 0.0029025872 0.0030969204 0.006166535 0.0028217332 0.0051271357 0.0038703529 0.0051764282 0.0036146697 0.0041253264 0.0048760627 0.0043310076 0.0045881094 0.0038838284 0.0049544345 0.003942696 0.0030490465 0.003329553 0.0031962148 0.005697724 0.003265721 0.004912589 0.0033905483 0.004896631 0.0031100416 0.0035873638 0.0037951728 0.0037285036 0.0040735514 0.004663644 0.0057072984 0.0041345465 0.0048008827 0.0047824425 0.005515802 0.0047796057 0.004676765 0.00403738 0.005622189 0.0042983824 0.0034100525 0.0032667848 0.00421611 0.003242316 0.003379555 0.0043207235 0.0053264336 0.003671764 0.0040668137 0.004330653 0.0044661188 0.0031341559 0.0041274545 0.0029759943 0.004171782 0.0026745647 0.0021926325 0.0038426921 0.0037001339 0.0028203148 0.0033015378 0.0031799022 0.00430512 0.0044193086 0.0046274723 0.004397677 0.0042437706 0.0037100632 0.003437713 0.0032979916 0.0045764064 0.0038781546 0.003737724 0.00339835 0.0029986901 0.0051001846 0.0040192944 0.0052994825 0.00432427 0.0047601014 0.0031167795 0.0036777926 0.0030121657 0.004445551 0.003758292 0.004664708 0.00380723 0.0038423375 0.0023788095 0.003940568 0.0029096797 0.0036494227 0.0043905843 0.0045778253 0.0038753175 0.004436331 0.0041441214 0.0028093215 0.004250863 0.0034171448 0.004002627 0.0030770616 0.004139866 0.0038763813 0.0033944491 0.002671728 0.0031121692 0.0036065134 0.0036029671 0.0037522635 0.00399979 0.0029717388 0.003288417 0.0023298715 0.003493034 0.00244406 0.0027483264 0.0027582557 0.0021419215 0.0019717026 0.0014766492 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027057735 3.0162723e-06 8.339106e-06 1.0645667e-06 1.2419945e-06 8.871389e-07 6.0325447e-06 4.080839e-06 2.3597895e-05 1.4194222e-06 1.9517056e-06 3.1937e-06 4.080839e-06 1.7742778e-06 2.2001044e-05 1.0113384e-05 0.00026294796 8.161678e-06 4.080839e-06 3.1937e-06 4.258267e-06 5.322833e-06 3.3711278e-06 7.806822e-06 1.8275061e-05 3.903411e-06 2.483989e-06 5.500261e-06 8.693961e-06 6.9196835e-06 7.4519667e-06 1.1000522e-05 0.00044853744 2.0581623e-05 2.23559e-05 1.3839367e-05 2.3775323e-05 1.3839367e-05 8.569762e-05 3.6550122e-05 1.8984772e-05 1.2419945e-06 1.7742778e-06 2.6614166e-06 2.483989e-06 1.59685e-06 2.146876e-05 1.1355378e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00016412069 1.7387922e-05 1.7742777e-05 1.6500784e-05 1.2242517e-05 1.2419944e-05 1.1710234e-05 1.4016795e-05 1.9339628e-05 5.145406e-06 5.500261e-06 9.403672e-06 1.2419944e-05 1.4549078e-05 1.2065089e-05 1.8807345e-05 0.00025123774 4.808293e-05 2.5727028e-05 2.87433e-05 4.009868e-05 3.5308127e-05 5.2518622e-05 4.1340674e-05 3.4243563e-05 2.0936479e-05 2.1113905e-05 2.6436739e-05 2.7501306e-05 2.3065611e-05 2.3775323e-05 2.6614167e-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 0.062275376 0.061211873 0.062009234 0.06479397 0.064862095 0.068977885 0.06326205 0.061540116 0.060594957 0.06555176 0.07162085 0.059549555 0.061456546 0.062593326 0.060839277 0.04631752 14648.0 5.801748 84984.0 0.0104372585 0.007954438 0.007271957 0.011766921 0.011308011 0.008142709 0.008695754 0.010225454 0.008425116 0.011990492 0.013190718 0.0111785745 0.009542973 0.008742822 0.009648875 0.006836581 0.009837146 0.010955003 0.012237597 0.009425304 0.0096959425 0.014155606 0.010743199 0.010284289 0.010425492 0.012920079 0.008966394 0.011049138 0.008919326 0.01482632 0.009142897 0.0077897017 0.008589853 0.008660453 0.008436882 0.008931093 0.0075072953 0.013108349 0.013955568 0.01253177 0.010084251 0.011955191 0.011484515 0.00943707 0.0076602655 0.0122493645 0.012602372 0.012214064 0.010013649 0.010496093 0.0146380495 0.013049515 0.012684741 0.013461357 0.013884966 0.013402523 0.008989927 0.009460605 0.01314365 0.009225266 0.011072673 0.0073307916 0.008342747 0.0074837618 0.009719477 0.008436882 0.009660642 0.011496281 0.011308011 0.010225454 0.009131131 0.0098606795 0.009354702 0.011872823 0.016214818 0.010872635 0.009766544 0.0089546265 0.0124141015 0.007142521 0.012731808 0.0115080485 0.015238162 0.014155606 0.009107597 0.009201732 0.011237409 0.010837334 0.007989739 0.009166432 0.011813989 0.009237033 0.005495152 0.009378236 0.008742822 0.004906806 6.5529118 0.0 0.0 0.0 55.0 2819898.0 200704.0 0.0 0.0 6.0 0.0 1.0 0.0 0.0 0.0 1243601900.0 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 81920.0 4096.0 4096.0 3.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9094462 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2839913 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 0.0 0.0 0.0 0.0 110592.0 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 424.0 199588.0 2980.0 196608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.008279593 0.004117195 0.004004189 0.0039100167 0.0039740535 0.0039552194 0.0038742316 0.0037631087 0.003975937 0.0041021276 0.0037838265 0.0038553972 0.0037273234 0.0040927106 0.0037970105 0.0041209618 0.0039778207 0.0038610476 0.0040324405 0.004232085 0.0038836487 0.003970287 0.0038535136 0.0039740535 0.003849747 0.003849747 0.0037932438 0.003862931 0.0038290292 0.0038290292 0.0039005997 0.0039269677 0.00408141 0.0038120782 0.0037988941 0.0039269677 0.004254686 0.004083293 0.0040117227 0.0037160227 0.0036840043 0.0037744094 0.0039721704 0.0039382684 0.0037744094 0.0037838265 0.0038233788 0.004000422 0.004435496 0.0040343236 0.004254686 0.0036180841 0.0041379128 0.003942035 0.003889299 0.0038365629 0.0038120782 0.0039910045 0.0038685813 0.003996655 0.00390625 0.003768759 0.0038516303 0.0038177285 0.0038064278 0.003734857 0.0038139615 0.004171815 0.004043741 0.0038233788 0.003953336 0.0037160227 0.004109661 0.00390625 0.0039947717 0.003734857 0.004083293 0.0038026609 0.003985354 0.0038610476 0.0040550414 0.00402114 0.003738624 0.0039627533 0.003849747 0.0036105502 0.0040418576 0.0038704646 0.0038139615 0.003889299 0.0037631087 0.0035502804 0.003708489 0.0037593418 0.0039778207 0.0037329737 0.0038535136 0.003936385 0.0039213174 0.0038685813 0.004401594 0.00414733 0.0039910045 0.003755575 0.0038949493 0.003879882 0.0037292067 0.003849747 0.0039307345 0.0038836487 0.0038704646 0.0038817653 0.004100244 0.0036162005 0.0038478635 0.0038478635 0.003755575 0.0041040108 0.004154864 0.0039891214 0.003915667 0.0037875935 0.0039458023 0.0039646365 0.00390625 0.0040606917 0.0040588086 0.0039005997 0.0039005997 0.004194416 0.0038911826 0.0040550414 0.0039043666 0.003708489 0.003983471 0.0038553972 0.004019256 0.003985354 0.0038233788 0.0039910045 0.0037009553 0.0039476855 0.0038610476 0.0039740535 0.0037894768 0.0036557529 0.0036369185 0.003587949 0.0039910045 0.003721673 0.003940152 0.00378571 0.0037292067 0.0037988941 0.0038968327 0.0037894768 0.0037838265 0.003957103 0.0037593418 0.0036237342 0.00384598 0.003940152 0.0037781761 0.0037141393 0.00390625 0.0039175507 0.0040851766 0.003781943 0.0038968327 0.0040945937 0.0037442744 0.003985354 0.0039514527 0.0038685813 0.0038384462 0.0037970105 0.003936385 0.0037536914 0.003889299 0.0038685813 0.0036067835 0.0037179063 0.0039081336 0.0039288513 0.0038516303 0.003936385 0.0040964773 0.004023023 0.0038101948 0.00372544 0.0037574584 0.0037800597 0.004038091 0.004190649 0.0042452686 0.00384598 0.0038007775 0.003651986 0.0038779983 0.0040719924 0.0040154895 0.0038535136 0.0039608697 0.0037310903 0.0037762928 0.0038346793 0.0039345017 0.004002305 0.0037292067 0.003734857 0.0039439187 0.003764992 0.0039740535 0.0037744094 0.0036971883 0.0039476855 0.0038177285 0.0037706424 0.0036444522 0.003748041 0.0038779983 0.0038440966 0.003648219 0.0038817653 0.0038648143 0.0037009553 0.003996655 0.0036614032 0.0039608697 0.0039439187 0.0039382684 0.003889299 0.004237735 0.0038233788 0.003936385 0.0037838265 0.003648219 0.0039910045 0.0038026609 0.003970287 0.003768759 0.0039345017 0.0039815875 0.0036501025 0.0037310903 0.003940152 0.0038346793 0.003862931 0.0036425686 0.004039974 0.0038685813 0.0037913602 0.0039514527 0.0039476855 0.003832796 0.00426787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00088589516 4.7222557e-06 8.31117e-05 0.00014638992 0.000117111944 6.422268e-05 0.00037494712 0.00023516834 3.7778047e-06 3.7778047e-06 1.8889024e-06 1.8889024e-06 2.8333534e-06 1.8889024e-06 4.7222557e-06 1.8889024e-06 0.0008688951 8.50006e-06 0.000117111944 0.00017094566 3.400024e-05 3.116689e-05 0.00034566913 0.00024272395 3.6833597e-05 8.50006e-06 5.666707e-06 9.444511e-06 1.5111219e-05 5.666707e-06 1.5111219e-05 1.8889023e-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 0.0007395053 3.7778045e-05 0.00017944572 7.272274e-05 0.00010388963 5.1944815e-05 0.00018511243 0.00013033426 0.0001605567 1.0388962e-05 1.3222316e-05 2.9277986e-05 8.688951e-05 1.9833475e-05 5.1944815e-05 6.138933e-05 0.0018624577 0.00020589035 0.00039289167 0.00019833475 0.00037778047 0.0002474462 0.0004117807 0.00029561322 0.0003825027 0.00014733439 0.00017661236 0.00018416798 0.00034661358 0.00013600096 0.00021439041 0.00022289048 0.0004892257 3.7778045e-05 0.00019455694 6.516713e-05 0.00015205664 6.422268e-05 0.00010766743 8.972286e-05 0.0002380017 5.005591e-05 3.211134e-05 6.0444876e-05 0.00014638992 3.7778045e-05 8.216725e-05 8.688951e-05 0.061824717 0.062378164 0.061495103 0.06256328 0.06181055 0.060907654 0.061410103 0.06200133 0.06201833 0.060286205 0.061928608 0.061363824 0.062265776 0.06065832 0.06184172 0.061706662 2385.0 6.0691824 14475.0 0.010569948 0.010293609 0.011675302 0.01015544 0.010777202 0.009464595 0.010224525 0.009119171 0.008773748 0.008981002 0.008773748 0.010500863 0.008704663 0.010431779 0.011882556 0.009602764 0.013126079 0.009740933 0.013402418 0.010569948 0.011951641 0.012573402 0.00925734 0.00925734 0.010708118 0.011468048 0.010293609 0.008566494 0.010639033 0.009740933 0.010500863 0.010224525 0.009671848 0.009948187 0.009602764 0.0117443865 0.009879102 0.008290156 0.010224525 0.010224525 0.010086356 0.012780656 0.008221071 0.009671848 0.012435233 0.010708118 0.0117443865 0.010569948 0.010224525 0.01015544 0.007944732 0.010017271 0.009188255 0.009602764 0.009602764 0.010086356 0.009188255 0.011053541 0.00925734 0.009326424 0.009810017 0.0122279795 0.008704663 0.010777202 0.008704663 0.011606217 0.010086356 0.014024179 0.016373057 0.015336787 0.010569948 0.009533679 0.010431779 0.011468048 0.0076683937 0.0076683937 0.012780656 0.010639033 0.011329879 0.011882556 0.01015544 0.00925734 0.011329879 0.013609672 0.014024179 0.010984456 0.009879102 0.00925734 0.009188255 0.009671848 0.01015544 0.010431779 0.00939551 0.009533679 0.008635579 0.009464595 6.569536 0.0 0.0 0.0 11.0 530944.0 884736.0 0.0 0.0 17.0 0.0 1.0 0.0 0.0 0.0 1394931500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -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 11.0 0.0 5.0 1.0 5.0 1.0 315392.0 4096.0 4096.0 3.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -312832.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9983354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6792426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -315392.0 0.0 0.0 0.0 0.0 0.0 561152.0 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1060.0 881764.0 1124.0 880640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 877776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0