Input: 0.18817553 0.11736764 0.14762686 0.1208662 0.1367863 0.13397987 0.00047880007 0.00044206044 0.00056057534 0.00048591095 0.0003970248 0.0005416129 0.0006233882 0.00051790994 0.00050487334 0.00059494463 0.0006909417 0.00058783375 0.0004799852 0.0004894664 0.0006482763 0.0006601278 0.0005700565 0.00041954263 0.0005724268 0.0005238357 0.00049539213 0.00053213176 0.00046694858 0.00043376442 0.0004989476 0.0004432456 0.00073360704 0.0007383476 0.0005250209 0.0005463535 0.001610617 0.00047405946 0.00046102284 0.0004776149 0.0005072436 0.0004550971 0.00049420696 0.0005250209 0.00048117037 0.00050605845 0.00043731986 0.00043257925 0.00047642976 0.00042191293 0.00050961395 0.0005570199 0.0006210179 0.0007798278 0.00047287432 0.0004361347 0.0004965773 0.00051553966 0.00041480202 0.0003875436 0.0004847258 0.00062812876 0.0004527268 0.00038635847 0.0029296875 0.00056650105 0.0005309466 0.0005771674 0.001076115 0.00061509217 0.00063168426 0.00043139412 0.00047287432 0.00048354064 0.00046931888 0.00045865253 0.0008153823 0.00046339314 0.0006233882 0.00049302186 0.00064472086 0.00067079416 0.0004159872 0.00046339314 0.00063879514 0.0005084288 0.00043731986 0.00047050402 0.000406506 0.00042546837 0.00043020895 0.0004776149 0.00047524463 0.00055583473 0.0005451684 0.0006091664 0.0005333169 0.00049539213 0.00044206044 0.00036976638 0.0006091664 0.00458534 0.0004906515 0.00040769114 0.004470381 0.0004432456 0.005278652 0.00042783868 0.00051079906 0.00046457828 0.00055583473 0.0004657634 0.00057598227 0.00057124166 0.0051708035 0.0003970248 0.0012491466 0.0005570199 0.00046931888 0.004409938 0.00048828125 0.00045154165 0.00049420696 0.00043731986 0.00049539213 0.00047642976 0.00048591095 0.00046813372 0.00053924264 0.00064946146 0.00060442585 0.00077271694 0.00061035156 0.00049420696 0.0006115367 0.0004870961 0.0005653159 0.0009587853 0.00062812876 0.0011472239 0.0005973149 0.00064353575 0.00044443074 0.00047287432 0.0004847258 0.0003970248 0.0003555446 0.00038635847 0.0005676862 0.00047405946 0.00047405946 0.0004574674 0.00048117037 0.00050961395 0.0005451684 0.00061272184 0.0006020555 0.0004266535 0.0004159872 0.00042072777 0.000406506 0.00042783868 0.00068857137 0.0004776149 0.00042072777 0.00042072777 0.0004965773 0.00040295054 0.0003899139 0.0005285763 0.0006091664 0.00039465452 0.0004574674 0.0005475387 0.00046694858 0.00051079906 0.0006364248 0.00048828125 0.0005534644 0.0003768773 0.00035910006 0.0004456159 0.00059494463 0.00042191293 0.0005250209 0.00061035156 0.0005510941 0.00034250796 0.0004918367 0.0004432456 0.0005510941 0.00049420696 0.00054872385 0.00054872385 0.00051672483 0.00059968524 0.0006352397 0.0003993951 0.0005131694 0.0005866486 0.00043494956 0.0003899139 0.00046102284 0.00044443074 0.0006423506 0.0004361347 0.00051672483 0.0004799852 0.00061509217 0.00047050402 0.00046931888 0.00049302186 0.00060087035 0.00052146544 0.00045983767 0.0004183575 0.00064353575 0.0005641308 0.00058309315 0.0004847258 0.00053924264 0.0004799852 0.00038280303 0.00033895252 0.00042783868 0.00058901886 0.00045628223 0.00043969016 0.00049302186 0.0006032407 0.00044443074 0.00042309807 0.00061509217 0.00050961395 0.00040532084 0.00047405946 0.0005510941 0.0005250209 0.00041124658 0.00045154165 0.00051079906 0.00050605845 0.00053213176 0.0004799852 0.0005072436 0.00043139412 0.00047050402 0.0007027932 0.0005463535 0.00056650105 0.0006577575 0.00057835254 0.000526206 0.0005380575 0.00061272184 0.0009540447 0.69248664 7.1195323e-06 9.49271e-06 8.306121e-06 1.0086004e-05 5.9329436e-06 4.746355e-06 7.712826e-06 4.1530607e-06 1.7798831e-06 8.306121e-06 5.3396493e-06 1.0086004e-05 4.746355e-06 6.526238e-06 7.1195323e-06 0.008179749 1.8392126e-05 1.7205537e-05 2.6104952e-05 2.1951892e-05 2.6698246e-05 1.7798831e-05 2.0765303e-05 2.1951892e-05 2.1951892e-05 2.2545186e-05 1.8392126e-05 2.4325069e-05 2.4918363e-05 2.4325069e-05 1.8392126e-05 0.013553809 6.941544e-05 6.704226e-05 7.1788614e-05 9.077403e-05 8.0688034e-05 9.1960625e-05 6.526238e-05 7.416179e-05 5.576967e-05 5.3989785e-05 4.805684e-05 6.0516024e-05 5.9329435e-05 5.458308e-05 8.36545e-05 0.007673669 5.6956258e-05 5.754955e-05 5.576967e-05 5.3989785e-05 4.805684e-05 5.3396492e-05 4.6870253e-05 6.2295905e-05 5.576967e-05 5.8142847e-05 5.1616607e-05 5.8142847e-05 5.6956258e-05 5.6956258e-05 5.9329435e-05 0.008202888 8.484109e-05 7.416179e-05 6.7635556e-05 7.594168e-05 8.42478e-05 0.00026045623 0.00022426527 8.187462e-05 7.950144e-05 7.772156e-05 8.2467915e-05 7.594168e-05 8.187462e-05 8.6620974e-05 8.009474e-05 0.0068828077 8.0688034e-05 9.670698e-05 9.1960625e-05 0.00025096352 0.000112132635 0.00027054222 0.00014595041 7.35685e-05 9.255392e-05 6.4075786e-05 6.882215e-05 5.6362962e-05 7.1788614e-05 7.8908146e-05 6.7635556e-05 0.02813995 0.0002005335 0.0001886676 0.00017324195 0.00018154806 0.00017561513 0.012382053 0.009275564 0.00018036149 0.00017146207 0.000177395 0.00018570114 0.00020824632 0.00019638042 0.00020765302 0.00020349996 0.0052915923 0.00013527111 0.00012874487 0.00013942417 0.00012340522 0.00013052476 0.00012221864 0.00013527111 0.00015247664 0.0001263717 0.0001263717 0.00014654371 0.0001364577 0.00012221864 0.00012103205 0.00015247664 0.00918301 0.00026520257 0.00029664717 0.00028715446 0.00028240812 0.0002634227 0.00027825506 0.0002503702 0.00031859908 0.0002723221 0.00026757576 0.00029724048 0.00028596786 0.0002752886 0.00024918362 0.00029308742 0.008356551 0.000334618 0.00033343144 0.0003257186 0.00042420547 0.00030851306 0.00029012092 0.00031681918 0.00029605388 0.00037021568 0.00032156555 0.00033343144 0.00033283813 0.0003452973 0.00031563258 0.00036072297 0.021247651 0.0011984546 0.001142685 0.0011136135 0.0034695854 0.0011094605 0.0011373452 0.0010720829 0.0012121004 0.0008834153 0.00089528115 0.00088816165 0.0008335786 0.0008620567 0.0008650232 0.00095164415 0.011231062 0.00071313983 0.00079323456 0.0006633031 0.0007730625 0.0006745757 0.0006170261 0.00066864275 0.0008579036 0.0006609299 0.0006520305 0.0006828818 0.00068881473 0.0007119532 0.00066270976 0.0008199328 0.01029425 0.0008406981 0.0008573103 0.0008306121 0.000882822 0.0008157797 0.00096706976 0.0008709561 0.0009676631 0.0007837418 0.00081162667 0.00081340654 0.0008258657 0.0008288322 0.0007576369 0.00093799835 0.0057650413 0.00068881473 0.0010697097 0.00062533224 0.0008970611 0.00071847945 0.0006271121 0.00066270976 0.0012821091 0.00059210777 0.0005897346 0.00061524624 0.0007125465 0.00064431765 0.0006935611 0.00082705234 0.006390967 0.0012037943 0.0016517314 0.0010210596 0.0014565376 0.0011082739 0.00095935696 0.0010002942 0.0018243801 0.0009107068 0.0008994342 0.0010080071 0.0012791426 0.0010839488 0.0011681966 0.0013355056 0.0069771414 0.0026146483 0.002626514 0.0025470126 0.0026431263 0.002519128 0.0024847167 0.002446746 0.0028252676 0.0025369267 0.0026277006 0.002648466 0.0025612516 0.0027036422 0.0024799705 0.0029302808 1154.0 7.1239166 8221.0 0.0031626322 0.0058387057 0.0047439486 0.00413575 0.0054737865 0.003284272 0.0017029558 0.002432794 0.0027977133 0.0013380367 0.0019462353 0.002432794 0.0029193528 0.0031626322 0.00425739 0.0023111543 0.0018245955 0.0017029558 0.0035275514 0.003649191 0.0034059116 0.0031626322 0.0058387057 0.0021895147 0.0031626322 0.0030409927 0.0019462353 0.0034059116 0.0027977133 0.002067875 0.0037708308 0.0031626322 0.0037708308 0.00425739 0.0034059116 0.00401411 0.010217735 0.0037708308 0.0047439486 0.0037708308 0.0026760735 0.0027977133 0.0031626322 0.0021895147 0.00401411 0.0026760735 0.0037708308 0.00401411 0.00401411 0.0077849412 0.002432794 0.005352147 0.002432794 0.0029193528 0.002432794 0.0029193528 0.0034059116 0.0025544337 0.0019462353 0.0034059116 0.002432794 0.0077849412 0.0043790294 0.0038924706 0.003284272 0.0055954265 0.003284272 0.00401411 0.009974455 0.092689455 0.0030409927 0.0018245955 0.08162024 0.00401411 0.16615984 0.002432794 0.0075416616 0.00413575 0.0058387057 0.0059603453 0.003649191 0.003284272 0.16579491 0.0047439486 0.0821068 0.0043790294 0.0034059116 0.08368812 0.0034059116 0.0026760735 0.0038924706 0.0023111543 0.003284272 0.0027977133 0.0030409927 0.0021895147 4.685796 0.0 0.0 0.0 4.0 843776.0 851968.0 1.0 0.0 20.0 0.0 1.0 0.0 0.0 0.0 1017693100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 0.0 4096.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 761856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 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 -4.680124 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.7680612 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.156659 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7639327 0.0 3.047528 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 760184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44594.0 0.0 456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4097.0 4096.0 4277.0 82032.0 456.0 847872.0 0.0 0.0 0.0 0.0 0.0 0.0 55.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 81920.0 0.0 0.0 0.0 0.0


Input: 0.04445583 0.0051371814 0.0042869137 0.0045786374 0.0042086462 0.003959614 0.0036038535 0.004813439 0.003988075 0.004706711 0.0038137522 0.0039382684 0.0041339365 0.0035433744 0.0042904713 0.00415884 0.0041659554 0.003671448 0.0039204806 0.003699909 0.0041303793 0.0036678906 0.0042869137 0.0036394296 0.0039347108 0.0036216415 0.0037390427 0.0034864526 0.0043011443 0.0038742316 0.0038244252 0.003952499 0.0043367203 0.0037959642 0.003482895 0.0036927937 0.004229992 0.0036251992 0.0038030795 0.0036216415 0.0039738445 0.0035860655 0.0037959642 0.0036465449 0.003788849 0.0033726094 0.0061617712 0.0035077983 0.0041552824 0.0037497154 0.003664333 0.0033192453 0.0038564436 0.003771061 0.0040343236 0.00347578 0.0038920196 0.003735485 0.0036750056 0.004005863 0.0038315402 0.0037426 0.0037817338 0.0036607753 0.004475467 0.0037603881 0.003717697 0.0038315402 0.0038279826 0.0038208675 0.0037034666 0.0038920196 0.0039987476 0.0038493283 0.0035576047 0.0036074112 0.0037852915 0.003600296 0.0036287569 0.0039489414 0.0040912456 0.003689236 0.0042264345 0.003771061 0.0037959642 0.0035896231 0.0039347108 0.0036501025 0.0036358722 0.0034793373 0.003671448 0.003571835 0.0036145265 0.0035789504 0.0035398167 0.0033797245 0.0038849043 0.004023651 0.003717697 0.0038457706 0.003852886 0.0037959642 0.0036145265 0.0037319274 0.0038600012 0.004340278 0.0035042407 0.0038849043 0.0040841303 0.0034686646 0.0038600012 0.003941826 0.0040948032 0.003664333 0.0041054757 0.003941826 0.0044221026 0.003916923 0.0037817338 0.0035042407 0.0036963513 0.0036323145 0.00365366 0.0034900103 0.0036145265 0.0035327014 0.0036785633 0.003689236 0.005048241 0.0037283697 0.0036394296 0.0039738445 0.003707024 0.0036038535 0.0039347108 0.0037497154 0.0039026923 0.0039738445 0.003682121 0.003735485 0.0038101948 0.0036750056 0.0036323145 0.0037141393 0.0037568307 0.0036963513 0.0034971253 0.0035682775 0.0035931808 0.0034864526 0.003571835 0.0034544342 0.0036358722 0.003329918 0.0034864526 0.003347706 0.0033085723 0.0036856786 0.00356472 0.0035896231 0.0037461577 0.0036074112 0.0035860655 0.003493568 0.0034046278 0.003465107 0.0034722222 0.0036856786 0.0036394296 0.0037105817 0.003546932 0.0037817338 0.0037212546 0.003852886 0.0033050147 0.003554047 0.0038564436 0.003582508 0.0035255863 0.003429531 0.0033228027 0.0034579919 0.0034081854 0.0033085723 0.0037959642 0.003546932 0.0036785633 0.0035611624 0.0033583788 0.0032303052 0.0035327014 0.00331213 0.004340278 0.0037426 0.003571835 0.0038066371 0.0037675034 0.0034366462 0.0036323145 0.003671448 0.0037034666 0.0035255863 0.0033156876 0.003571835 0.0034579919 0.0033370333 0.003582508 0.0034366462 0.0038777892 0.003500683 0.0035789504 0.0035077983 0.0036074112 0.0032801116 0.0034437615 0.00356472 0.0037603881 0.0035682775 0.003529144 0.0036109688 0.0036607753 0.0034971253 0.0035042407 0.0034793373 0.0038742316 0.003600296 0.003546932 0.0039631715 0.0037639458 0.0035149134 0.0035753928 0.0035327014 0.0041517247 0.0038777892 0.0037461577 0.0038849043 0.0039987476 0.0034900103 0.0033939548 0.0034508766 0.0039133653 0.0033548214 0.0036429872 0.0034900103 0.0037034666 0.003465107 0.0038315402 0.0034366462 0.0042264345 0.0038137522 0.0036216415 0.003600296 0.0039560567 0.0034188582 0.0036465449 0.0047138263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029386303 7.154304e-06 0.00020747482 3.9348673e-05 4.8291553e-05 2.682864e-05 0.00010731456 1.788576e-05 2.1462913e-05 3.577152e-05 0.00011089171 2.682864e-05 2.3251489e-05 2.5040064e-05 1.2520032e-05 1.4308608e-05 0.0074726706 0.00015560612 0.0013772035 0.00019316621 0.0004614526 0.00029511505 0.00012520033 6.438874e-05 0.00031836654 7.154304e-05 0.00010910314 8.585165e-05 7.5120195e-05 5.902301e-05 4.2925825e-05 8.22745e-05 0.002598801 6.975447e-05 0.00025576638 1.4308608e-05 2.3251489e-05 2.3251489e-05 0.00013593178 1.9674337e-05 0.0002629207 1.9674337e-05 0.0001341432 1.9674337e-05 1.9674337e-05 2.1462913e-05 2.3251489e-05 2.1462913e-05 0.0041852677 9.837168e-05 0.0005294185 0.00018958906 0.0008370536 0.00058486435 0.00027186357 0.00014487466 6.2600164e-05 4.47144e-05 5.902301e-05 4.6502977e-05 7.333162e-05 8.048592e-05 5.7234432e-05 6.0811584e-05 0.0050759786 0.00012520033 0.00037023524 0.00040600676 0.00037202382 0.00019853194 0.0020675939 0.0012394831 0.00010373741 0.00013235463 0.00012162317 0.00011983459 8.585165e-05 8.764023e-05 0.00029511505 0.00018780048 0.0013861464 2.3251489e-05 0.00013056606 9.479453e-05 0.00021820627 8.585165e-05 0.0009354252 0.0005669786 2.1462913e-05 2.1462913e-05 3.0405792e-05 2.1462913e-05 2.5040064e-05 3.9348673e-05 3.577152e-05 2.682864e-05 0.0013861464 5.365728e-05 0.00084778504 0.0002682864 6.6177316e-05 6.438874e-05 5.902301e-05 6.438874e-05 7.5120195e-05 5.902301e-05 4.47144e-05 9.121738e-05 4.2925825e-05 9.3005954e-05 5.5445857e-05 0.00039169815 0.0016651643 0.00016276042 0.0001341432 0.00010731456 0.00015560612 0.00013950893 0.00016097185 0.0001573947 0.00011983459 0.00013772036 0.000114468865 0.0001341432 0.00014845181 9.479453e-05 0.00012520033 0.000105525985 0.0013986664 0.00015918327 0.00010373741 0.00013593178 0.00010016026 0.00016276042 0.00035413806 0.00027186357 0.00010194883 0.00013950893 8.585165e-05 0.00011268029 6.975447e-05 0.00010016026 0.00025755496 0.00010910314 0.005837912 0.001244849 0.0008638822 0.0011929802 0.001328912 0.0012090774 0.000953311 0.0009855054 0.0012323288 0.00089071086 0.0011572087 0.0008710365 0.0008996537 0.00096583104 0.0011375344 0.0012072888 0.07135524 0.059988838 0.05776564 0.05787832 0.057568897 0.056629892 0.056379493 0.05704484 0.059364628 0.055161472 0.0557678 0.054492544 0.05658339 0.055538863 0.057445485 0.05777458 1354.0 7.006647 9487.0 0.011067777 0.008221777 0.008537999 0.006640666 0.011911036 0.0078001474 0.009592073 0.009170444 0.008854222 0.005902814 0.0064298515 0.0076947403 0.008854222 0.0072731106 0.07768525 0.0075893328 0.014440814 0.010329925 0.008221777 0.0067460737 0.008537999 0.011700221 0.020765258 0.007483925 0.011805628 0.008643406 0.007905555 0.011173184 0.008643406 0.0069568884 0.008537999 0.0067460737 0.014546221 0.008854222 0.006640666 0.009592073 0.0076947403 0.008327184 0.00811637 0.009170444 0.007483925 0.0075893328 0.005902814 0.0065352586 0.008959629 0.009170444 0.0069568884 0.0053757774 0.008221777 0.0069568884 0.007062296 0.009065037 0.0075893328 0.008010962 0.008643406 0.0072731106 0.007378518 0.007062296 0.0064298515 0.008221777 0.008959629 0.007483925 0.008327184 0.005797407 0.0078001474 0.016970592 0.011278592 0.01296511 0.010751555 0.014124592 0.0078001474 0.009381259 0.009908295 0.029408665 0.008221777 0.008010962 0.023611257 0.008643406 0.018762518 0.016759777 0.012016444 0.013702962 0.016865185 0.013492147 0.020343628 0.008432592 0.014124592 0.0072731106 0.0069568884 0.010435333 0.010646148 0.0072731106 0.0076947403 0.0076947403 0.0067460737 0.006640666 6.3607483 0.0 0.0 0.0 8.0 281088.0 733184.0 0.0 0.0 39.0 1.0 1.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 222208.0 1024.0 4096.0 9.0 3.0 6.0 0.0 8.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -80384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 109568.0 0.0 0.0 0.0 0.0 0.0 0.0 17.75167 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.742023 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.932601 0.0 0.0 0.0 0.0 0.0 0.0 290816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 352256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2604.0 649452.0 348672.0 294912.0 0.0 0.0 0.0 0.0 8.0 649040.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.26484445 0.010029882 0.014115083 0.025073823 0.01884429 0.02406358 0.023003798 0.031000812 0.028352244 0.012172446 0.02224656 0.0085118655 0.015650792 0.002468105 0.002004561 0.0010810122 0.0032288826 0.002222179 0.0014879399 0.0014012466 0.0010473965 0.0011093202 0.0024663357 0.0011411668 0.0007767011 0.0005891605 0.0005537755 0.00058031426 0.0009996267 0.0021956402 0.0006546228 0.000663469 0.011917673 0.0013694001 0.0009447799 0.00088108686 0.0014295547 0.00129863 0.0020134074 0.0006033145 0.0018913291 0.0006369303 0.0010987048 0.00087224063 0.00085985585 0.0007873166 0.0017320965 0.0018364823 0.006772692 0.0022327944 0.0017267887 0.0022487177 0.0017126347 0.0016330185 0.0013835541 0.0012614758 0.001657788 0.001763943 0.0019214064 0.0007112388 0.00054846774 0.00074308534 0.0005024672 0.00057677575 0.0030041877 0.0015374789 0.0009518569 0.0015233249 0.0028909557 0.0019585607 0.0023336418 0.0009430107 0.00090408715 0.0015056324 0.00042462017 0.0005272367 0.0010067037 0.0015374789 0.00093593367 0.0006245455 0.001806405 0.0005466985 0.0025034898 0.002377873 0.0009642417 0.001735635 0.0012508603 0.00089347165 0.0011517822 0.0012225523 0.0009553954 0.00084924034 0.0012367063 0.0011340898 0.0016507109 0.0021425628 0.001319861 0.006287917 0.0028254935 0.0047026686 0.004055123 0.010620812 0.002807801 0.003209421 0.0028272627 0.0066417675 0.0014401701 0.001291553 0.004224971 0.0029670335 0.0051255194 0.007216774 0.0035915792 0.0011411668 0.007512239 0.005934067 0.0075334697 0.0030944196 0.0016754805 0.001955022 0.0016949422 0.0023407189 0.0011040125 0.0015604792 0.001348169 0.001206629 0.0016542495 0.0012083983 0.0023654883 0.0013994774 0.0017108655 0.0015622484 0.001206629 0.0011128588 0.0012791683 0.0010491657 0.001107551 0.0015640177 0.0009589339 0.00266803 0.0009430107 0.001679019 0.0010208577 0.0009907804 0.001185398 0.0010385502 0.001029704 0.0010969355 0.0010314732 0.0009553954 0.0018258668 0.0009960881 0.0010562427 0.001036781 0.0010456272 0.00089877937 0.0010049344 0.00087047135 0.00088816386 0.001008473 0.0011482438 0.0012243215 0.0014773244 0.0011977828 0.0009730879 0.00091116416 0.0009430107 0.0010615505 0.001185398 0.001114628 0.0014525548 0.0010420887 0.001206629 0.0011588592 0.0014012466 0.0012101675 0.0012720913 0.0011606285 0.0013233996 0.0010633197 0.0009978574 0.00090762565 0.00093593367 0.0009235489 0.0010916278 0.0009164719 0.0010491657 0.0010067037 0.00091116416 0.00087224063 0.0009341644 0.00101555 0.0021425628 0.0012048598 0.0011093202 0.001164167 0.0010668582 0.0008120861 0.0012101675 0.0010350117 0.001008473 0.0010067037 0.0009819341 0.0010951662 0.0019267141 0.00088639464 0.00089347165 0.00092885667 0.0015286327 0.00088639464 0.0008315479 0.0008085476 0.0009660109 0.00072008505 0.0008156246 0.0007696241 0.0008191631 0.00076785486 0.00072716206 0.00075370085 0.0007554701 0.0006457765 0.0009483184 0.0008209324 0.0012543988 0.0006900078 0.00069531554 0.0006510843 0.0007943936 0.00067762303 0.00071831583 0.0008050091 0.0017550967 0.00075723935 0.0008616251 0.0009624724 0.0007979321 0.0006156993 0.0007997014 0.0010597812 0.0011871672 0.00089170237 0.00069531554 0.0008227016 0.00072185433 0.00069885404 0.0008103169 0.0008085476 0.0007908551 0.0006369303 0.0004953902 0.0005060057 0.0008545481 0.0010527042 0.001043858 0.12807253 0.05798118 5.0603692e-05 1.5980113e-05 1.6867898e-05 1.6867898e-05 8.877841e-07 2.2194603e-05 2.0419035e-05 1.8643466e-05 1.5980113e-05 8.877841e-06 3.5511364e-06 2.6633522e-06 2.6633522e-06 2.6633522e-06 1.7755682e-06 0.006899858 0.00015536221 8.877841e-07 2.6633522e-06 8.877841e-07 1.7755682e-06 1.7755682e-06 1.7755682e-06 2.3082386e-05 2.6633522e-06 1.7755682e-06 1.7755682e-06 1.7755682e-06 2.6633522e-06 1.7755682e-06 0.00017223011 0.013203125 0.00048916903 0.00012695312 0.0001171875 0.00010919744 8.0788355e-05 0.0001677912 7.368608e-05 2.5745738e-05 1.1541193e-05 8.877841e-06 1.3316761e-05 1.0653409e-05 4.1725852e-05 1.509233e-05 5.0603692e-05 0.016973544 0.001134588 0.00052290485 0.0001447088 7.013494e-05 8.700284e-05 0.00020241477 0.00022549716 0.000113636364 5.1491475e-05 6.924716e-05 9.8544035e-05 6.5696026e-05 6.12571e-05 6.12571e-05 0.00011807528 0.023129439 0.00046963777 0.0007830256 0.00063654117 0.0008069957 0.0009321733 0.00084073155 0.00094460224 0.00027787642 3.018466e-05 4.6164772e-05 3.1072443e-05 3.3735796e-05 2.6633523e-05 3.018466e-05 7.191051e-05 0.014424716 0.00026012075 0.0003116122 0.0002175071 0.00057084515 0.00022549716 0.0008478338 0.00054421165 0.00023082386 8.3451705e-05 6.4808235e-05 5.9481536e-05 8.789063e-05 4.6164772e-05 9.055398e-05 0.000116299714 0.040402167 0.00041725853 0.00034623579 0.0083877845 0.00029829546 0.0031161222 0.012485796 0.0011212713 0.00024058949 8.877841e-07 2.9296874e-05 5.1491475e-05 0.00014293323 5.2379262e-05 5.59304e-05 0.01103338 0.09607688 0.0017933239 0.0071564275 0.0014897017 0.0030433238 0.004021662 0.02148615 0.016447088 0.0032998936 0.00036576705 0.001685902 0.002454723 0.0024724787 0.0025337357 0.0033238637 0.039621804 0.1407706 0.004104226 0.0062402342 0.0029589843 0.0028462359 0.0017604758 0.010022195 0.007961648 0.0068288352 0.009417614 0.010563743 0.008500532 0.0071475497 0.005365767 0.0043314984 0.06572532 0.031102628 0.0036683239 0.0033327416 0.0027024148 0.003022017 0.001443537 0.006582031 0.005122514 0.0017444957 0.0013361151 0.00087713066 0.00055397727 0.001315696 0.000579723 0.00049449573 0.0052130683 0.021059126 0.0020783027 0.0024991122 0.0018554687 0.002199929 0.0015944602 0.004514382 0.0033478339 0.001278409 0.0008371804 0.000715554 0.0005024858 0.0008815696 0.0004953835 0.00061612215 0.0027974076 0.013221769 0.0013121449 0.0017826705 0.0011035156 0.0018785511 0.0012215909 0.0031028055 0.0021688566 0.0009854403 0.00095348014 0.00083629263 0.0007253196 0.00076083094 0.00075994316 0.0008176491 0.0029145952 0.011882102 0.0011558948 0.0019717684 0.0015456321 0.0016930043 0.00155451 0.0014151279 0.001459517 0.0013343395 0.0011292613 0.0012473366 0.00086736504 0.0012393466 0.0012233665 0.00082475145 0.0040021306 0.006212713 0.0010280539 0.0011780895 0.0014142401 0.0019682173 0.0029962712 0.0012260298 0.0014115768 0.0020800782 0.00094726565 0.0007519531 0.00084073155 0.0014524148 0.0007306463 0.00095703127 0.0038955966 0.009796698 0.002578125 0.003404652 0.004066051 0.003729581 0.0029740767 0.003816584 0.0031480824 0.0037792968 0.001603338 0.001542081 0.0014870383 0.002681108 0.0014737216 0.0020996095 0.00454723 0.00083984376 0.0003515625 0.00036931818 0.00052823155 0.0002787642 0.00028320312 0.0006764915 0.0004971591 0.00028675425 0.00019176137 0.00023615056 0.00018643466 0.0001837713 0.00017489346 0.00015713778 0.00021306818 2480.0 21.12863 52399.0 0.10776923 0.008072673 0.004370312 0.0020801923 0.0030534933 0.002519132 0.0011832287 0.001431325 0.0016221683 0.001660337 0.0015076624 0.0020420237 0.003091662 0.0031298308 0.011202504 0.00458024 0.014675853 0.007366553 0.0046756617 0.0045039025 0.0032634211 0.0026145538 0.002633638 0.0021946984 0.002977156 0.0035306017 0.0048283366 0.0015839997 0.0023282887 0.001946602 0.0020801923 0.0019084334 0.005038264 0.009503998 0.0050573484 0.010076528 0.021908816 0.005877975 0.0056489627 0.005897059 0.0020992768 0.008168095 0.00114506 0.0017557587 0.0054581193 0.0075573963 0.0051336857 0.0031870836 0.009007805 0.0014694937 0.02091643 0.013244527 0.0052291076 0.0033588428 0.0035687704 0.0018130117 0.003606939 0.0015649154 0.0014504094 0.0008778793 0.0030153247 0.0014122407 0.00043893966 0.0073093 0.0010114696 0.036756426 0.008836047 0.025878357 0.018359128 0.07532586 0.009580336 0.018359128 0.014217828 0.04311151 0.0011832287 0.0023664574 0.025859272 0.018111033 0.035077006 0.046928376 0.016488865 0.000858795 0.05038264 0.036699172 0.054390352 0.01374072 0.0050764326 0.008072673 0.0052481918 0.010248288 0.0017557587 0.00051527703 0.0034733487 0.000687036 0.0066031795 0.00057253 5.500374 3.0 33.0 0.0 12.0 565211.0 40960.0 1.0 0.0 19.0 0.0 1.0 0.0 0.0 0.0 998081600.0 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 -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 1.0 7.0 0.0 5.0 1.0 4.0 0.0 1536.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -1536.0 0.0 25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.20062232 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9012837 0.0 5.946731 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1318.0 0.0 24896.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 4932.0 24896.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 576.0 88.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.33040366 0.021565756 0.022338867 0.010986328 0.018107096 0.005004883 0.013753255 0.006266276 0.0048421226 0.0031738281 0.03523763 0.0060628257 0.005126953 0.004435221 0.004231771 0.0020345051 0.0061442056 0.010131836 0.007975261 0.0040690103 0.0007324219 0.0026448567 0.0059814453 0.0020345051 0.002766927 0.0028889973 0.0006510417 0.0008951823 0.0015869141 0.0010986328 0.0015869141 0.004435221 0.006958008 0.0018310547 0.01574707 0.0010172526 0.0064290366 0.004801432 0.0053710938 0.00081380206 0.012084961 0.0017496744 0.005452474 0.0026855469 0.0021972656 0.0010986328 0.0016682943 0.0005289714 0.0028483074 0.0030517578 0.0020345051 0.0021158855 0.0011393229 0.0028889973 0.0013427734 0.0013020834 0.0009765625 0.0048421226 0.0017903646 0.00069173175 0.0012207031 0.0011800131 0.0033365886 0.006958008 0.0043538413 0.0030110676 0.001546224 0.0034179688 0.0016276041 0.0036214192 0.0009765625 0.0022379558 0.0012613932 0.0021158855 0.0013427734 0.00024414062 0.0031738281 0.0012207031 0.000773112 0.0014241537 0.0015869141 0.00081380206 0.001546224 0.0034993489 0.0022786458 0.0019938152 0.0008951823 0.00036621094 0.0024820964 0.0010172526 0.0041503906 0.0009765625 0.00061035156 0.0009765625 0.00036621094 0.0050455728 0.00044759116 0.018107096 0.0026041667 0.007120768 0.0050455728 0.024495443 0.0026041667 0.0040283203 0.0019124349 0.008463542 0.00032552084 0.0061442056 0.013916016 0.006184896 0.010172526 0.026774088 0.008951823 0.0009765625 0.01163737 0.012613933 0.01590983 0.0059407554 0.0037434895 0.0009358724 0.0030110676 0.0028483074 0.00036621094 0.009277344 0.00044759116 0.002726237 0.0006510417 0.00012207031 0.004435221 0.0010172526 0.00032552084 0.0012207031 0.00032552084 0.00040690103 0.0013834635 0.00036621094 0.00040690103 0.00044759116 0.0037434895 0.00024414062 0.00044759116 0.00044759116 0.0009765625 0.0008951823 0.00032552084 0.00044759116 0.00016276042 0.00016276042 0.00036621094 0.00020345052 0.00028483072 0.00020345052 0.00028483072 0.0026855469 0.0025227864 0.00012207031 0.00016276042 0.00044759116 0.00024414062 0.00020345052 0.000773112 0.00020345052 0.0008951823 0.00016276042 0.00032552084 0.00020345052 0.00024414062 0.00024414062 0.00020345052 0.00036621094 0.00044759116 0.00024414062 0.00036621094 0.00020345052 8.138021e-05 4.0690105e-05 0.00024414062 0.00012207031 0.00012207031 0.00024414062 0.0007324219 0.00028483072 0.00020345052 0.00020345052 0.00040690103 8.138021e-05 0.00024414062 0.00024414062 0.00032552084 8.138021e-05 0.0 0.00036621094 0.0008544922 0.0005289714 0.00044759116 0.00012207031 0.0005289714 0.00044759116 0.0041097007 0.00012207031 0.00040690103 0.00012207031 4.0690105e-05 8.138021e-05 0.0026855469 0.002400716 0.00036621094 4.0690105e-05 0.0006510417 0.00016276042 8.138021e-05 8.138021e-05 0.00016276042 0.0007324219 8.138021e-05 0.00028483072 4.0690105e-05 0.0008951823 0.00036621094 0.00020345052 0.00028483072 0.0005289714 0.00012207031 0.00044759116 0.00036621094 0.0009765625 0.00012207031 0.00040690103 0.00028483072 4.0690105e-05 0.00032552084 0.00016276042 0.00020345052 0.00012207031 0.00016276042 0.00028483072 0.00020345052 4.0690105e-05 0.00012207031 4.0690105e-05 0.0006510417 0.00016276042 0.00016276042 0.00012207031 0.0005289714 0.00016276042 4.0690105e-05 4.0690105e-05 0.00028483072 0.00020345052 0.00016276042 0.0 0.00061035156 0.00020345052 0.0020345051 0.00069173175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.058254074 0.009595788 0.004352072 0.0029933765 0.0011039402 0.0021017324 0.002462636 0.0028659985 0.0009553329 0.00050951086 0.00012737772 0.00029721466 0.0007642663 0.00027598505 0.00021229619 8.491848e-05 0.19134256 0.017026154 0.030740488 0.015476393 0.01959494 0.017026154 0.107719086 0.059973676 0.0065387227 0.0023140286 0.002122962 0.0008067255 0.0036727241 0.0015497622 0.00084918475 0.001507303 0.1507303 0.020868717 0.016962467 0.011039402 0.0059018345 0.004564368 0.014075237 0.009850544 0.007685122 0.0027386209 0.0018469769 0.001613451 0.0056683086 0.0022503396 0.0018469769 0.003226902 0.06383747 0.007939878 0.019021738 0.007515285 0.004691746 0.0036939539 0.009341032 0.0042883833 0.0015709918 0.0027173914 0.0005731997 0.00050951086 0.0030358357 0.00048828125 0.00033967392 0.0008704144 0.017153533 0.00070057745 0.0009341033 0.0016559103 0.0016346807 0.0016346807 0.00948964 0.0056470786 0.00067934784 0.00067934784 0.0005307405 0.0006581182 0.00038213315 0.00050951086 0.0006368886 0.0005519701 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 344.0 12.834302 4415.0 0.0015855039 0.00022650056 0.0049830126 0.0013590034 0.021744054 0.00022650056 0.0020385052 0.0 0.0022650056 0.0 0.0 0.00022650056 0.0 0.00090600224 0.004530011 0.0 0.0015855039 0.0049830126 0.004756512 0.007248018 0.0018120045 0.0027180067 0.0015855039 0.0020385052 0.00045300112 0.0006795017 0.0022650056 0.0 0.00022650056 0.0 0.0013590034 0.0022650056 0.005209513 0.008380521 0.0033975085 0.010419026 0.004756512 0.012910532 0.0018120045 0.007248018 0.00090600224 0.0063420157 0.0043035108 0.00045300112 0.007248018 0.0043035108 0.0011325028 0.0056625144 0.0038505096 0.00022650056 0.0063420157 0.015628539 0.008833522 0.007474519 0.0022650056 0.00045300112 0.004756512 0.0011325028 0.0015855039 0.0022650056 0.0 0.0 0.0 0.025368063 0.00045300112 0.06681766 0.010872027 0.034654588 0.022876557 0.11370328 0.008380521 0.018799547 0.0065685166 0.0398641 0.00090600224 0.0024915063 0.06024915 0.027180068 0.04801812 0.053907134 0.028765572 0.00045300112 0.044847112 0.0389581 0.07021517 0.025141563 0.010419026 0.0031710078 0.01200453 0.010645526 0.0006795017 0.0 0.0 0.00022650056 0.0 0.0 5.1271043 0.0 0.0 0.0 1.0 24576.0 40960.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1541169400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 23552.0 512.0 4096.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5366483 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 8216.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8208.0 0.0 0.0 72.0 8292.0


Input: 0.03997083 0.40468493 0.04031199 0.010511907 0.0023710425 0.001411538 0.0023454558 0.0012963974 0.001339042 0.00074201694 0.003044828 0.00069937226 0.0009040666 0.00089980214 0.0009040666 0.001044794 0.001036265 0.00115567 0.0013006618 0.0010575873 0.000733488 0.0010021493 0.0010234716 0.0010575873 0.0009296534 0.0011983147 0.0011258188 0.00084009964 0.00095524016 0.0011258188 0.0012153726 0.0013475709 0.0017612241 0.0013987445 0.0013944801 0.001530943 0.002439274 0.002153555 0.0017484307 0.002319869 0.0032964314 0.0027420511 0.0029211587 0.0024733897 0.002422216 0.002319869 0.0027889602 0.0018209266 0.0025416212 0.002238844 0.001953125 0.0018934224 0.0017868108 0.0014285957 0.0010234716 0.0012409594 0.0015906455 0.0010405295 0.0010661163 0.0011428767 0.0011044964 0.00097229803 0.0013475709 0.0013603644 0.0010746452 0.0014882983 0.0012878685 0.0016077033 0.0013177197 0.0011471411 0.0013603644 0.0015181495 0.0014285957 0.0017015216 0.0013006618 0.001475505 0.00183372 0.0023625137 0.0018209266 0.0019019514 0.0022814889 0.0020938523 0.0022303152 0.0022303152 0.0020512077 0.0021023813 0.0021322325 0.0018465134 0.0017271084 0.0016119678 0.0015650587 0.0018593068 0.0017271084 0.0015821166 0.0016204967 0.0021961995 0.0014499181 0.0026823485 0.0019787117 0.0023369268 0.0022303152 0.0047164983 0.0016119678 0.002174877 0.0017825464 0.0030576214 0.0011855213 0.0012281659 0.0022601665 0.0018123976 0.0024179516 0.004170647 0.0017868108 0.0014072735 0.002933952 0.0031429108 0.0040128618 0.003603473 0.001522414 0.0011940502 0.0011940502 0.0016801993 0.0011897858 0.0019573895 0.0013305132 0.001283604 0.0013560998 0.0003198349 0.002025621 0.001522414 0.0015693231 0.0014541826 0.0015650587 0.0015437363 0.0014584471 0.0018081332 0.0016460835 0.0016460835 0.0017313728 0.0018593068 0.0016887281 0.0015352074 0.0018593068 0.0015522653 0.0020512077 0.0019488606 0.0019915053 0.001769753 0.002153555 0.001889158 0.0017100505 0.0019573895 0.0020597365 0.001769753 0.0018678356 0.0019872407 0.001889158 0.0016119678 0.0018251911 0.001897687 0.0017654885 0.0018550423 0.0018251911 0.00183372 0.001339042 0.0014925628 0.0017782819 0.0013475709 0.0016077033 0.0014243313 0.0014328603 0.0012494882 0.0015821166 0.0018294555 0.0013177197 0.001283604 0.0014840339 0.0012366949 0.001164199 0.0013134553 0.0011769923 0.0012025791 0.0010277361 0.001164199 0.0011343478 0.0012878685 0.0010149427 0.0010234716 0.0011514056 0.001283604 0.0009637691 0.00087421533 0.0014371247 0.000733488 0.0008059839 0.0008187773 0.0007377525 0.0011855213 0.00068657886 0.00084009964 0.0007377525 0.00081024837 0.0010533229 0.0006823144 0.0007462814 0.0009850914 0.0008486285 0.0008358352 0.0011514056 0.00089553767 0.00088700873 0.0008486285 0.0008486285 0.00095524016 0.001100232 0.0008059839 0.001283604 0.00094244676 0.0009467112 0.0010618519 0.0010106782 0.0013603644 0.0011300832 0.0011855213 0.001889158 0.0013560998 0.0015010918 0.0012366949 0.0015352074 0.0014925628 0.0012921329 0.0013859512 0.00088700873 0.001530943 0.0011727279 0.0013347776 0.0010874385 0.0012366949 0.001283604 0.0015821166 0.0017953397 0.0016801993 0.0020682656 0.0009936204 0.00061408296 0.0008230418 0.0010618519 0.0010831741 0.0009978848 0.00070363673 0.000550116 0.0008784798 0.0008315707 0.0008187773 0.0013688933 0.11990823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032252262 4.7114856e-05 3.426535e-05 5.782278e-05 0.0 0.0 0.0 5.1398027e-05 4.0690105e-05 0.0 0.0 0.0 0.00020773368 0.0 9.63713e-05 0.00062534265 0.009183114 0.00011992873 0.00030838815 0.00025913172 0.00016918516 0.00012849507 0.00057394465 0.0003576446 0.00010493764 6.4247533e-06 2.3557428e-05 2.7840597e-05 0.00028697232 6.4247533e-06 0.00017775151 0.0014241537 0.0067181503 0.00044544955 0.00069815654 0.00035550303 0.0014434279 0.0009615714 0.006859495 0.004193222 3.6406935e-05 1.7132676e-05 2.1415844e-05 3.426535e-05 2.5699013e-05 4.0690105e-05 3.426535e-05 4.4973272e-05 0.034905683 0.0017732319 0.0012742428 0.0007174308 0.0007174308 0.00077739515 0.0025720429 0.0024756717 0.0013856051 0.0007088644 0.00023557429 0.00040261788 0.00092944765 0.00080737734 0.0015697813 0.005765145 0.1159775 0.0023900082 0.00208162 0.0013342071 0.0017732319 0.0017154091 0.004777875 0.008658426 0.010234632 0.012519702 0.010872824 0.007878889 0.0021480091 0.0033708538 0.0069280257 0.031022992 0.33187705 0.011459618 0.030194199 0.020297937 0.019796807 0.026664868 0.019764682 0.012416907 0.013982405 0.016712924 0.0132606905 0.009943376 0.010024757 0.012117085 0.012825949 0.09655548 0.009457237 0.0008523506 0.0009058902 0.0007388466 0.00075597933 0.00071957236 0.0024392647 0.0017282587 0.0007688288 0.00054396247 0.00064033375 0.00028483072 0.0003726357 0.00013920298 0.00025913172 0.0013234991 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 345.0 16.637682 5740.0 0.005052265 0.00017421602 0.0 0.00087108015 0.00017421602 0.0 0.00034843205 0.0 0.0015679443 0.0 0.0 0.0 0.0027874564 0.00087108015 0.019686412 0.0 0.006271777 0.0029616724 0.0019163763 0.0015679443 0.0024390244 0.0017421603 0.0010452962 0.0022648084 0.0015679443 0.0019163763 0.00017421602 0.0 0.00017421602 0.0022648084 0.00017421602 0.0 0.0012195122 0.0114982575 0.010801394 0.014111498 0.010452962 0.0031358886 0.00836237 0.005052265 0.0029616724 0.008013938 0.00017421602 0.0012195122 0.004703833 0.012543554 0.0022648084 0.0024390244 0.008188154 0.0 0.006445993 0.020731708 0.008710802 0.0012195122 0.0034843206 0.0036585366 0.0 0.00034843205 0.0 0.0015679443 0.0019163763 0.0 0.0 0.022299651 0.0005226481 0.04163763 0.015679443 0.025087109 0.018118467 0.11951219 0.0036585366 0.027351916 0.006968641 0.05487805 0.0017421603 0.0036585366 0.038675956 0.022996515 0.047560975 0.05818815 0.014808362 0.0005226481 0.049651567 0.05888502 0.09059233 0.028571429 0.005052265 0.005052265 0.0055749128 0.016027875 0.0033101046 0.0 0.0 0.0 0.0 0.00017421602 5.0379295 1.0 0.0 0.0 1.0 234496.0 262144.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541546800.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 80.0 0.0 4.0 0.0 6.0 0.0 232448.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -232448.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8832054 0.0 3.189335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -232448.0 0.0 956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 240552.0 956.0 245760.0 0.0 0.0 0.0 0.0 12.0 253952.0 28.0 240240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.060086027 0.0055987756 0.009293803 0.0027417815 0.005214734 0.0026224544 0.0024578653 0.001891404 0.004479569 0.0019448955 0.016644081 0.0016911539 0.0039624847 0.010818996 0.0017130991 0.005827829 0.01618049 0.0020505069 0.0015293078 0.0013098556 0.002904999 0.0051091225 0.00147033 0.0014991332 0.0028432782 0.0013578607 0.00149639 0.0013564893 0.0020889111 0.001246763 0.0012111021 0.0012851672 0.06524041 0.0014621005 0.0021039983 0.0012865388 0.00989181 0.0014401553 0.0014813027 0.0011836706 0.0030572442 0.0021931508 0.022746226 0.0018667157 0.0030531294 0.0021931508 0.0075011523 0.004350641 0.0046949065 0.0030627304 0.0031436535 0.0033823077 0.0026992627 0.0023495106 0.0024619799 0.0019243219 0.002736295 0.0020518785 0.0051228385 0.002814475 0.0023838 0.002935174 0.0019929006 0.003439914 0.007527212 0.0038362995 0.0025607334 0.0038939058 0.006228329 0.004173707 0.0030983915 0.0034604876 0.002503127 0.0031409103 0.0012824241 0.0014470132 0.0063792025 0.0025867934 0.0032492648 0.0018612294 0.0063380552 0.006214613 0.001962726 0.0041010138 0.0033836793 0.0027541257 0.003789666 0.00276647 0.0023495106 0.0015745698 0.0021478888 0.0018557431 0.0024427779 0.002354997 0.0028638518 0.0041407896 0.0018831746 0.015674377 0.004681191 0.010935579 0.009163503 0.03358854 0.0057935393 0.0060294503 0.01097947 0.020539358 0.004055752 0.002702006 0.015497443 0.008036067 0.019236362 0.018207679 0.008377589 0.0021876646 0.016579617 0.013761028 0.028232532 0.009908269 0.0038637312 0.0053011435 0.0030407852 0.005088549 0.0013811776 0.0018859177 0.0018735735 0.0018488852 0.001486789 0.0012165884 0.0020738237 0.0023508822 0.001551253 0.006680949 0.0031889156 0.004417848 0.0014017512 0.0014648438 0.0018927756 0.00268829 0.0017899073 0.011732466 0.0016431487 0.0054671043 0.0012920251 0.0011534959 0.002066966 0.0011617254 0.0012783094 0.0012042442 0.0013386587 0.0013619756 0.0011946432 0.0010259392 0.001363347 0.0011534959 0.0012001295 0.001137037 0.0014374122 0.0010931465 0.001127436 0.0012604789 0.0016458918 0.0017034981 0.0010821739 0.0012289326 0.00124402 0.0011068623 0.0010794307 0.0011096054 0.0014442701 0.0012234463 0.0011630969 0.0010958896 0.0013235713 0.001351003 0.0011699548 0.0010986328 0.0016527497 0.0012700799 0.0012097305 0.0011960147 0.0014991332 0.0012303041 0.0012152168 0.0011438949 0.0015389089 0.0013852923 0.0011534959 0.0011685832 0.0013496313 0.0011617254 0.0011891569 0.0011658401 0.003963856 0.0019106062 0.0022301835 0.0026567439 0.0034838044 0.0012001295 0.0018310547 0.0033178437 0.002066966 0.0016212035 0.0013647187 0.0015018763 0.009526971 0.0012824241 0.0017528748 0.0015581109 0.0016170888 0.0012248178 0.0013235713 0.0012549926 0.001246763 0.0012289326 0.0015855425 0.0015457667 0.001593772 0.0012207031 0.0011946432 0.001370205 0.0013921502 0.0013331724 0.00124402 0.001120578 0.0018104811 0.0014140954 0.0012193315 0.0012097305 0.0015649688 0.0018708304 0.0013414018 0.0011740695 0.003287669 0.0015389089 0.0011123486 0.001979185 0.001998387 0.0013729482 0.0013331724 0.0010986328 0.0023261937 0.0016253182 0.0027554973 0.0013907786 0.0014401553 0.0012975114 0.001729558 0.0015361657 0.0024866683 0.001308484 0.0010739444 0.0011356653 0.0012824241 0.0011795558 0.0016417771 0.014420756 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011599255 2.678336e-05 4.395218e-05 1.1674798e-05 3.0903877e-05 2.678336e-05 4.0518415e-05 9.6145395e-06 1.0988045e-05 0.0 0.0 0.0 2.7470112e-06 1.0988045e-05 4.8072698e-06 2.678336e-05 0.0010713344 2.6096606e-05 3.433764e-05 1.3735056e-05 2.6096606e-05 1.8542325e-05 4.1205167e-06 1.3735056e-06 9.6145395e-06 8.241033e-06 1.3735056e-06 3.433764e-06 1.3735056e-06 1.3735056e-06 6.1807755e-06 0.00017924249 0.0040223114 8.515735e-05 0.00010095266 2.4036348e-05 0.000101639416 9.7518896e-05 0.00055558304 0.0002341827 4.7385944e-05 6.1807755e-06 6.1807755e-06 1.6482067e-05 2.1289337e-05 2.4723102e-05 4.8072698e-06 0.00027744813 0.010238797 0.0005761856 0.00018130275 0.00014215783 0.000363979 0.00026233957 0.0014655305 0.0005906074 0.000122242 6.936203e-05 0.0002314357 5.631373e-05 7.210905e-05 5.5626977e-05 8.996462e-05 0.0009532129 0.02479315 0.0007849585 0.074545644 0.0059514 0.010611705 0.0074883527 0.10724881 0.053397093 0.000122242 8.3783845e-05 0.00012842278 0.00011812148 0.00010026591 7.2795796e-05 0.00016413392 0.0013089508 0.009317862 0.00058580015 0.004598497 0.002363803 0.007140856 0.0050441995 0.015899701 0.008567928 0.00014559159 0.00013323005 0.00011400097 0.00013116979 0.00012567577 0.00014147109 0.00016825444 0.0003742803 0.007618149 0.0009291766 0.00414524 0.0016736166 0.0050860913 0.0033822577 0.010804682 0.0054638055 0.00045394362 0.0003859551 0.00034612342 0.00045531712 0.00040518417 0.00025959258 0.00031521954 0.00046973894 0.0063600177 0.0017134483 0.0036906097 0.012815494 0.0021742594 0.0018576664 0.007611968 0.0041466136 0.001216926 0.0010699609 0.0010342498 0.0010699609 0.0012890351 0.0010534788 0.0010163941 0.0011063588 0.0040827454 0.0017855574 0.0040497812 0.0009827432 0.0012595047 0.0009401646 0.006934143 0.0034454388 0.0009504659 0.00047797995 0.0005239924 0.0004896548 0.0012382154 0.0005466552 0.0006737045 0.0011551182 0.04640114 0.02213267 0.018087009 0.0064472356 0.01349744 0.0153090935 0.014111397 0.011298457 0.031253435 0.0024990935 0.0020788007 0.0023768514 0.021781052 0.0037084653 0.0072665317 0.01663178 0.0032174368 0.0015108562 0.0041582882 0.001291782 0.0016200499 0.0016138691 0.0047379076 0.0029770734 0.0017333641 0.0010191412 0.0010060929 0.00095802016 0.0014655305 0.0010424908 0.0010843826 0.001506049 0.018043056 0.014820126 0.017563017 0.015348925 0.015346179 0.015052935 0.017808873 0.016026063 0.014779607 0.01466904 0.0146141 0.014849656 0.014804331 0.014595558 0.014552292 0.014664919 8507.0 34.779945 295873.0 0.15577629 0.00090579403 0.0024064379 0.00045289702 0.002132672 0.0002974249 0.00088551507 0.000334603 0.0030114271 0.0028897533 0.049602363 0.00062188844 0.0025889487 0.0024165774 0.015226128 0.007134818 0.00452897 0.0035961375 0.0036333157 0.003193938 0.0020988735 0.0011728005 0.0017642705 0.0010612662 0.0015344422 0.0011018241 0.008635462 0.0020211374 0.0011964593 0.0023726397 0.0011896996 0.005069743 0.012775752 0.0057795066 0.0030046676 0.00650279 0.0028120172 0.006009335 0.002994528 0.0049751075 0.001852146 0.0042078863 0.00034136267 0.000571191 0.006820494 0.00275794 0.0042146463 0.0013046138 0.00611411 0.011079078 0.001338412 0.005424625 0.004626985 0.0032277363 0.0031466202 0.0016966739 0.0019974785 0.00046979616 0.0025179721 0.00052387343 0.0019366418 0.00045965667 0.00048331547 0.004616846 0.00045965667 0.035396945 0.008743617 0.023966365 0.018632995 0.07908123 0.009321567 0.011869958 0.019190665 0.0461448 0.0009226932 0.0038293458 0.033771247 0.01673015 0.04398171 0.041842278 0.016794369 0.0025179721 0.037529618 0.030648286 0.05894421 0.017308101 0.00650279 0.010082029 0.0036028973 0.009544636 0.0006556867 0.0017406116 0.00078750006 0.0014905044 0.00031432405 0.0002129292 5.1632257 0.0 408.0 0.0 4.0 729088.0 749568.0 1.0 2.0 682.0 1.0 1.0 0.0 1.0 0.0 1540503900.0 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 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 11.0 14.0 15.0 6.0 0.0 6.0 0.0 159232.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 545792.0 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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159232.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.738458 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.853397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.926945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7501445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4154806 0.0 3.3012636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 545358.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159113.0 0.0 864.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 -2.0 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 -2.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 1.0 0.0 -3.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 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 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 3.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -2.0 0.0 -2.0 1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 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 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 -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 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -4.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 1.0 1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 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 2.0 0.0 0.0 2.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 -2.0 0.0 1.0 1.0 2.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 -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 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 2.0 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 1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 3.0 1.0 1.0 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 -1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -2.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 1.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 2.0 -1.0 -3.0 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 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 2.0 1.0 -1.0 1.0 0.0 0.0 2.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -2.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 132.0 676928.0 200.0 677060.0 864.0 724992.0 0.0 0.0 0.0 0.0 17444.0 729088.0 84.0 669920.0 0.0 0.0 0.0 0.0 24.0 670168.0 64.0 670008.0 0.0 0.0 2764.0 163840.0 0.0 0.0 0.0 0.0