Input: 0.26753068 0.010233034 0.005143398 0.004975156 0.010086929 0.0041668355 0.0029707993 0.004097894 0.0087606 0.002507185 0.0015818542 0.0012877469 0.0061149006 0.0021359143 0.0021055548 0.005123158 0.006810638 0.0013497308 0.00097403256 0.0010448713 0.004622227 0.0027329836 0.0011163425 0.00081148295 0.003938507 0.0015654095 0.0009386132 0.0010695383 0.0033281553 0.0008880141 0.0008026281 0.0020157413 0.006038369 0.00077796105 0.0014123472 0.0009550579 0.020462906 0.0014971007 0.0008987664 0.0008601846 0.0024300215 0.00094051065 0.0007925083 0.0026381102 0.0018323197 0.0011030602 0.0011795914 0.00071028474 0.0021390766 0.0011011628 0.0012188057 0.0052648354 0.0017614809 0.0009044588 0.0007311569 0.00076151633 0.0020340835 0.0018652091 0.00097403256 0.0040289527 0.0017678058 0.0014433392 0.0008975014 0.0010239992 0.0029334824 0.0017437713 0.0015748967 0.0014964682 0.007798585 0.0036330149 0.0035286543 0.0015046905 0.0029170378 0.0016210685 0.0016539579 0.00077163614 0.013177269 0.005088371 0.004009978 0.0025849813 0.011031867 0.004245264 0.003312343 0.0037399055 0.0036102454 0.0026956666 0.0048992573 0.003799992 0.0014736986 0.0025786562 0.00069573754 0.0017937379 0.0023262934 0.0019126458 0.0030991945 0.002362345 0.0011827538 0.0021896758 0.0009847848 0.0016507955 0.003678554 0.0034742602 0.0032294872 0.0010543586 0.0063969903 0.002257352 0.0062002866 0.001473066 0.002961312 0.0011365821 0.0023920722 0.002341473 0.0020960674 0.00079503824 0.003288941 0.003068835 0.008074983 0.005508976 0.0013611156 0.0013883127 0.0017349164 0.0010537261 0.00084184244 0.00071218226 0.0024787232 0.0014148771 0.0016381457 0.0012548575 0.0041118087 0.0017614809 0.00082160276 0.010568253 0.0042515886 0.0048031188 0.0016678727 0.000977195 0.002595101 0.010054672 0.0011106501 0.029690916 0.0020827851 0.009246352 0.0019088507 0.0009866824 0.0013231663 0.0004680416 0.0008703044 0.0010802906 0.0014224671 0.00065842073 0.0012807895 0.0005964368 0.0008886466 0.0013788253 0.0004794264 0.0005483677 0.001230823 0.00051105086 0.00084500486 0.00067929283 0.0010176742 0.0019967668 0.00075076404 0.0011852838 0.0011802239 0.00071281474 0.0005742997 0.00048069138 0.0019392102 0.00046677663 0.0014616813 0.00077290117 0.0017247966 0.0005970693 0.0005521626 0.00057050475 0.0012377803 0.0010258966 0.00076088385 0.0008038931 0.0010271616 0.00066790805 0.0010821881 0.0008810567 0.0027981298 0.0012618148 0.0005692398 0.00086840696 0.0013712355 0.00082476524 0.0008867491 0.000755824 0.0054963264 0.0033648396 0.0034097463 0.0028443015 0.0046974933 0.000999332 0.0030460653 0.004421728 0.0026324177 0.0015748967 0.0008481673 0.001085983 0.018685613 0.0008475348 0.0022510272 0.0013522608 0.0017228991 0.0013617481 0.0015021606 0.0012940718 0.0016944371 0.000837415 0.0025274246 0.0013263287 0.0017766607 0.0008677745 0.0009525279 0.0012207031 0.0018721664 0.005545661 0.00071281474 0.0005926419 0.0019910743 0.00080452557 0.0013364486 0.0012763621 0.0023655077 0.001843072 0.00087346684 0.0010651109 0.012139355 0.0042889058 0.00088927906 0.0032750263 0.0030125435 0.0014971007 0.0016254958 0.0023307207 0.0037765899 0.0020574855 0.0015521272 0.0024869454 0.0019923393 0.0016919072 0.0026741622 0.002895533 0.0043546846 0.0020625456 0.0018949361 0.0014907757 0.0029948337 0.0026773245 0.0030213983 0.070483275 0.0051771104 3.164493e-06 3.1644927e-07 9.4934785e-07 3.1644927e-07 0.0 0.0 1.5822465e-06 3.1644927e-07 0.0 0.0 0.0 6.3289855e-07 0.0 0.0 3.1644927e-07 0.0006227722 7.594783e-06 9.4934785e-07 2.215145e-06 1.8986957e-06 1.2657971e-06 6.3289855e-07 3.7973914e-06 6.3289855e-07 9.4934785e-07 3.1644927e-07 9.4934785e-07 9.4934785e-07 0.0 0.0 3.164493e-06 0.0071140965 2.4999494e-05 0.00013670609 6.930239e-05 2.4999494e-05 3.2910724e-05 9.303609e-05 6.0125363e-05 1.9303407e-05 1.5506015e-05 1.5822465e-05 1.329087e-05 1.2974421e-05 1.1708624e-05 1.0759276e-05 0.000121516525 0.0027480456 6.9618845e-06 1.3923769e-05 2.5948842e-05 6.0125362e-06 1.8354058e-05 1.6138914e-05 8.544131e-06 7.7846526e-05 8.670711e-05 6.645435e-06 3.1644927e-07 1.803761e-05 3.1644927e-07 3.164493e-06 0.0002034769 0.009155828 0.00015189566 8.828935e-05 6.645435e-05 7.120109e-05 4.841674e-05 5.9492468e-05 6.455566e-05 8.7340006e-05 0.0001322758 0.00010252957 0.000109175 0.0001117066 0.00012468101 0.0001348074 0.0011569386 0.02072458 0.00023132443 0.00010601051 0.0003170822 0.00030917095 0.00027847537 0.0002844879 0.00019746435 0.00038100494 0.00032784147 0.00018860378 0.00028322212 0.00059555756 0.0011563057 0.00036518247 0.002769564 0.022808716 0.0006518855 0.00055125466 0.00038385298 0.0012907967 0.0003408159 0.0007847942 0.00039840964 0.0003088545 0.00041897886 0.00035410674 0.00025569103 0.0007009352 0.0006028359 0.00033860074 0.0041581434 0.037781198 0.00095441105 0.001366428 0.00073416234 0.002604694 0.0009775119 0.002845512 0.0014113638 0.0006673915 0.00066612574 0.00054809015 0.00052941963 0.0013778202 0.003575877 0.0007597947 0.008657103 0.038140368 0.0009325761 0.0019857192 0.0007493519 0.0019721119 0.001357251 0.005439447 0.0028657648 0.0016632575 0.00064112624 0.0004996734 0.0006281518 0.0007063148 0.00097308157 0.0019854028 0.01010201 0.026154216 0.0007686553 0.0017493317 0.0013632636 0.002384129 0.0012695945 0.004243585 0.0025385562 0.0012313041 0.0006490375 0.00056739355 0.00089998177 0.0009866889 0.0015657911 0.0016986998 0.008961528 0.016915163 0.0012268738 0.0014350975 0.00092086743 0.0016724345 0.00090567785 0.0022711565 0.0016237013 0.0010844717 0.00057657063 0.000505686 0.000652202 0.0005743555 0.0015771833 0.001376238 0.006863785 0.016576879 0.0011892164 0.0020088202 0.0014642108 0.0054315357 0.0013002901 0.0023866605 0.0018180012 0.0015977524 0.0010990284 0.00094396825 0.001079725 0.0011148509 0.0011730775 0.0025730492 0.008145721 0.010364664 0.00096833485 0.0017259144 0.001069915 0.0022983712 0.0013034546 0.001385415 0.0012186462 0.0025252653 0.0006484046 0.0008161227 0.0009123233 0.001983504 0.0011281417 0.0022401444 0.007000491 0.065368295 0.01144154 0.0144183785 0.008261225 0.016799977 0.01906607 0.009777017 0.009254876 0.036749255 0.0033559448 0.004098335 0.004721107 0.022940991 0.0054141306 0.012779172 0.024510263 0.055023886 0.012309877 0.015773416 0.009315634 0.018075267 0.023681166 0.010055809 0.012133932 0.037014756 0.002643301 0.0044103535 0.0036885329 0.02329668 0.0055033695 0.013211441 0.02217107 0.0038109988 0.0031467718 0.0031891759 0.0031879102 0.0031255696 0.003025888 0.0029711423 0.0031243039 0.0032860094 0.003008167 0.0029353837 0.0030578494 0.003170189 0.003015129 0.0031524678 0.0033439195 4888.0 9.6661215 47248.0 0.041610226 0.0015662039 0.0077251946 0.0052277343 0.03360989 0.0019260074 0.002264646 0.0030265832 0.01037081 0.0027302743 0.0026667796 0.00378852 0.0057780226 0.005862682 0.006942093 0.0024551305 0.00907975 0.0052065696 0.0042964783 0.012042838 0.008021504 0.004804436 0.0049314257 0.0052065696 0.008042669 0.009376058 0.005651033 0.004359973 0.0057568573 0.004762106 0.002857264 0.005841517 0.008148493 0.013058754 0.004486962 0.0086564515 0.027387403 0.006942093 0.0064341347 0.009037419 0.005375889 0.009503048 0.0057356926 0.0013757196 0.011788859 0.008190823 0.007958009 0.0030054182 0.028339824 0.012656621 0.013757196 0.024678294 0.010413139 0.014688453 0.022963936 0.020466475 0.0070690825 0.008508297 0.0013545547 0.011259736 0.0060108365 0.010328479 0.012402642 0.011683034 0.002814934 0.023937522 0.004867931 0.01786319 0.014455638 0.04201236 0.0067516086 0.008804605 0.014688453 0.026561972 0.008698781 0.0030265832 0.021101423 0.009757027 0.026371486 0.026244497 0.009693532 0.0032170673 0.027345072 0.018244158 0.037800543 0.014222824 0.0039578397 0.010349644 0.0057568573 0.005100745 0.0033017271 0.0008677616 0.0039366744 0.0012275652 0.0038943447 0.0016720284 6.127522 2.0 0.0 0.0 8.0 1581056.0 1667072.0 1.0 0.0 63.0 1.0 1.0 0.0 0.0 0.0 1307224600.0 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 1.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 864256.0 4096.0 4096.0 8.0 0.0 0.0 3.0 5.0 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 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -860160.0 0.0 512000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.999627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.256348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7153835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.219201 0.0 4.9742002 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 141136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -857510.0 0.0 510456.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 1647844.0 510456.0 1114112.0 0.0 0.0 0.0 0.0 1880.0 1662976.0 28.0 845536.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 912776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14762978 0.008883189 0.005737599 0.0051622507 0.008174887 0.004931641 0.0029443947 0.0033932605 0.0075624767 0.0014689618 0.0026873117 0.005045769 0.0060752775 0.0016448607 0.0018501742 0.006379424 0.029339232 0.0011683452 0.0011995246 0.0009094974 0.0026496612 0.0054705148 0.0011571677 0.001740752 0.010762778 0.0013618929 0.0006388837 0.00072653894 0.0016883942 0.0005912321 0.0006594738 0.00070300733 0.009514425 0.00079713383 0.0015342621 0.00064653147 0.003989199 0.0016501553 0.0008577278 0.0007224209 0.0025102363 0.0017860505 0.0005977033 0.001052452 0.0032320688 0.0013818948 0.0016189759 0.0011836408 0.00411274 0.0024478775 0.0024402298 0.005834667 0.0028873305 0.0024219926 0.0022825678 0.0023049228 0.0029232162 0.0028020283 0.0040444983 0.0030085184 0.0030955854 0.0035044474 0.0028161474 0.0018990022 0.0022049134 0.002238446 0.0020172487 0.0035279791 0.0028879188 0.016352126 0.001991952 0.0017560476 0.0020631354 0.0035638649 0.0011236352 0.0013083584 0.0028508566 0.010533344 0.0022372694 0.0014118976 0.009873282 0.002665545 0.0026549557 0.0046239644 0.0033220774 0.003418557 0.0038144765 0.0034132623 0.0014354292 0.0020272497 0.00061417546 0.0009642084 0.0018219362 0.003234422 0.0015401449 0.0021549086 0.0014507248 0.00663533 0.0013789533 0.004361587 0.0057646604 0.018076995 0.0028302665 0.0024808217 0.011616976 0.008303722 0.00466691 0.0012230563 0.004974586 0.0024355233 0.0072206794 0.006875941 0.006250588 0.0011965832 0.008863187 0.008037815 0.014693736 0.010876906 0.002904391 0.0019560663 0.0036121046 0.00404391 0.0016972185 0.0005724068 0.0011006919 0.002809676 0.0012595303 0.00065241434 0.003960373 0.0013330666 0.0006353539 0.0069535957 0.0033238423 0.011043392 0.000647708 0.0005571113 0.0025014118 0.014647261 0.0008624341 0.030628176 0.0010436276 0.01939006 0.0005029885 0.0007288921 0.0013495388 0.0006194701 0.00036415193 0.0012760025 0.0010612763 0.0006994776 0.00041945124 0.00041415662 0.0011183405 0.00075477693 0.00040886202 0.0004982822 0.0010577466 0.00085302145 0.00044474774 0.0004788686 0.0013354198 0.0008183123 0.00036944653 0.000597115 0.0011636389 0.0007500706 0.00069594785 0.0004488658 0.0013718938 0.00041474492 0.0004100386 0.0004859281 0.0010759836 0.00039533133 0.00033767885 0.0004218044 0.0016295651 0.0010136248 0.00095950207 0.0010153897 0.0014619023 0.0018931193 0.0010089185 0.0024037557 0.0039697853 0.0021137283 0.0016401544 0.0006612387 0.0013871894 0.00093597046 0.0009783274 0.0007741905 0.007049487 0.0016330949 0.0018960608 0.0022549182 0.0029114506 0.00051887234 0.0058752587 0.0030532286 0.0032073606 0.0018148767 0.00050828315 0.001483669 0.008268425 0.00042062782 0.0025031767 0.0024161097 0.0022290333 0.0009218515 0.0008812594 0.0006871235 0.0020048947 0.00038180064 0.001418957 0.0008712585 0.0024984705 0.00089949643 0.00047769203 0.0013136531 0.0023955195 0.000390625 0.0004788686 0.0004982822 0.0036215172 0.00045063064 0.00047945688 0.00043415852 0.002869682 0.00043592337 0.00042003952 0.00039886107 0.020810783 0.007874859 0.00047063254 0.0026520144 0.0057981927 0.00037709431 0.00042709903 0.0005406391 0.007158321 0.001483669 0.0013448325 0.0015095539 0.00321795 0.00149367 0.0031973599 0.0018607634 0.0031285298 0.001934888 0.0020896085 0.0025572996 0.008414909 0.0016972185 0.0062364694 0.06622329 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004538455 3.11982e-05 2.2957165e-05 1.6482067e-05 5.0623494e-05 2.9432263e-06 2.9432263e-07 1.118426e-05 5.0034846e-06 0.0 5.8864526e-07 0.0 8.829679e-07 2.9432263e-07 2.9432263e-07 6.1807755e-06 0.0056024315 0.0006745875 0.00018277435 0.00017217874 0.00025458907 5.4449687e-05 0.000115668794 0.00010154131 7.446363e-05 8.947408e-05 3.0609554e-05 3.149252e-05 5.5038334e-05 5.356672e-05 4.4148393e-05 0.0002990318 0.02482641 0.003989249 0.0012208503 0.0005241886 0.00058158155 0.0005018201 0.0017462162 0.0011634574 0.00033405618 0.00053095806 0.00018012545 0.00023575244 0.00046355816 0.0002066145 0.0005545038 0.0021208888 0.04110245 0.0035992714 0.003844148 0.0016661604 0.0036772669 0.0024781965 0.016144479 0.009244674 0.00023751837 0.0004903415 0.00022868869 0.00031492522 0.00064868707 0.00034406316 0.0005577414 0.0016178915 0.034678563 0.0012546974 0.010347206 0.004151715 0.009766214 0.007115838 0.04029542 0.02541005 0.00026577333 0.00015010455 0.00022721707 0.0001495159 0.00054449687 0.00014127487 0.00021897604 0.000906808 0.007552613 0.0008411741 0.0022777629 0.00093123683 0.0028469828 0.0021659203 0.007254464 0.0047135768 0.00018100842 0.00011213692 0.00012449847 0.0001639377 0.00033847103 0.00018571758 0.00012626441 0.00032287193 0.0066643474 0.003115405 0.0020737972 0.026572919 0.002091751 0.0020879249 0.0028437453 0.0026156453 0.001880133 0.0017094258 0.0017550458 0.0017986057 0.0024764307 0.001916629 0.001807141 0.0018821933 0.0027433813 0.0020587868 0.00033229025 0.00038703426 0.0006748818 0.00068430015 0.00078584143 0.000651336 0.0018645339 0.00022309656 0.00032287193 0.00063220505 0.0017462162 0.00035819065 0.0009480132 0.0030674306 0.027711065 0.012218804 0.004059298 0.0041811476 0.010995011 0.008822615 0.005708682 0.006033614 0.03025048 0.002832561 0.0025085118 0.006181364 0.011393524 0.003911842 0.01303967 0.04002523 0.06811862 0.032998275 0.008713716 0.010102918 0.027143905 0.023679433 0.015428098 0.020610237 0.06371673 0.005671303 0.005710742 0.014342636 0.028163733 0.011233117 0.030784676 0.063358836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8163.0 27.284086 222720.0 0.026261674 0.0009922773 0.002482938 0.0008036997 0.002200072 0.00093390804 0.0026221264 0.00052532327 0.009859914 0.009146013 0.0012886135 0.00077227014 0.012288973 0.0056124283 0.004593211 0.0038793103 0.008257004 0.0074757542 0.0068965517 0.0060479525 0.0076149427 0.0064744973 0.0062993895 0.006119792 0.006640625 0.005931214 0.016720546 0.005783046 0.009186422 0.011548133 0.010717493 0.0053385417 0.0016073994 0.008108837 0.004858118 0.016864223 0.011575072 0.008351293 0.003587464 0.0058818245 0.0051499642 0.0128591955 0.0006465517 0.0049479166 0.009177443 0.0039421697 0.006492457 0.0034033763 0.012010597 0.0016522988 0.011988146 0.015764188 0.010165229 0.0053789513 0.0030172414 0.00469199 0.0021102729 0.0017735272 0.0006061422 0.00097431755 0.005226293 0.0009294181 0.0007677802 0.0077765803 0.0012886135 0.030998563 0.004534842 0.022252155 0.023621587 0.094410025 0.0068651224 0.011610991 0.0152747845 0.041994434 0.0012751437 0.004198096 0.021228448 0.011373024 0.037311424 0.033867635 0.024860812 0.003358477 0.044697378 0.040202945 0.05945133 0.015279274 0.010228089 0.006326329 0.0061108116 0.016051544 0.0039242096 0.00050287356 0.0017825072 0.000547773 0.00054328307 0.00042654455 5.7535677 0.0 73.0 5.0 5.0 1699840.0 1732608.0 1.0 2.0 403.0 1.0 1.0 0.0 1.0 0.0 2157461800.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 15.0 10.0 0.0 10.0 0.0 1590272.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -87040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1590272.0 -14848.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7639914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9348917 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5038934 -5.5638237 -0.8497282 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1590062.0 -14552.0 700.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 2.0 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 -1.0 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 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -2.0 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 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 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 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 -1.0 0.0 0.0 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -3.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110.0 1594048.0 1080.0 1619752.0 1312.0 1638400.0 0.0 0.0 0.0 0.0 86988.0 1642496.0 84.0 102128.0 0.0 0.0 0.0 0.0 24.0 11836.0 164.0 10832.0 0.0 0.0 1828.0 1617920.0 992.0 1588904.0 0.0 0.0


Input: 0.20660597 0.026427926 0.014059656 0.012544456 0.015084053 0.008029056 0.0056379577 0.0082178265 0.016443204 0.0073343785 0.0038358248 0.0028189789 0.0072034975 0.003309783 0.0019506327 0.0063703884 0.006717727 0.0014170402 0.0013037777 0.0013088116 0.004359349 0.0053208224 0.0014220742 0.001057117 0.003309783 0.001147727 0.0022249797 0.0013012608 0.0026805468 0.0012056169 0.001014329 0.0011527609 0.011167686 0.0019053277 0.0019380479 0.0029221736 0.005386263 0.0011074559 0.0012735743 0.0008029056 0.0017366923 0.0009539223 0.0011930321 0.0023080388 0.0016309805 0.001240854 0.0022728017 0.0009086173 0.002162056 0.00147493 0.0014774469 0.0034784183 0.0016259467 0.0014447266 0.001014329 0.0009061003 0.002071446 0.0024087166 0.0011275915 0.0028290465 0.0017719296 0.0013918708 0.001155278 0.00084569363 0.0037250791 0.0029775463 0.0025169454 0.012214736 0.0054315683 0.0125796925 0.0031033936 0.0014900316 0.002720818 0.0015479213 0.0007550836 0.0008431767 0.0017543109 0.004603493 0.0020135562 0.0013138455 0.01165094 0.0027258517 0.0015454044 0.0054441527 0.0021243019 0.0033928424 0.0045430865 0.0049583823 0.0019506327 0.003677257 0.00089099864 0.0017190736 0.0012609896 0.0023533439 0.0029649616 0.0021796746 0.0011678627 0.0050036875 0.0013088116 0.00285925 0.0041026208 0.010566137 0.0032896476 0.0018902259 0.0067101764 0.0047947806 0.0061816177 0.0008255581 0.0039012653 0.002154505 0.0054491865 0.005200009 0.0035086218 0.0008607953 0.0059676776 0.004799815 0.012463913 0.013103218 0.0026578943 0.0059651607 0.0040396973 0.0015000994 0.0007097786 0.00056379574 0.00147493 0.0032065883 0.0016360144 0.0024238185 0.0071154046 0.0016234297 0.0010319476 0.008122182 0.0025219792 0.0048551876 0.0024313692 0.0034255625 0.038280223 0.008439317 0.0014170402 0.024155125 0.0010067781 0.007455192 0.0012710574 0.0012232354 0.0012811251 0.000551211 0.0005109399 0.00071984634 0.0011804474 0.0006040669 0.00064182107 0.00050842296 0.0010218798 0.0010873204 0.00057638047 0.00050338905 0.0009514053 0.0004278807 0.00092371897 0.00042032986 0.0010218798 0.0008834478 0.00053107546 0.0007550836 0.0010017443 0.0008331089 0.0006493719 0.00047570266 0.0011351424 0.0005713466 0.000737465 0.000551211 0.0007752192 0.0005436602 0.00047821962 0.00064182107 0.0011628288 0.0005285585 0.00044046543 0.000644338 0.0009992273 0.00057638047 0.0020462766 0.001245888 0.0019481156 0.0004832535 0.00058393134 0.00061413465 0.0010671848 0.00043794847 0.0012207185 0.0007953547 0.005305721 0.003825757 0.0024464708 0.0032317578 0.0021243019 0.0004832535 0.0018021328 0.0030908089 0.0018071667 0.0021243019 0.0007525667 0.0010420154 0.001794582 0.00049583823 0.0025219792 0.0009614731 0.0015957433 0.00092371897 0.0010218798 0.0013616674 0.0009061003 0.00060658384 0.0017769634 0.0018122006 0.0021318528 0.001381803 0.00077018526 0.001339015 0.00147493 0.00095643924 0.0007324311 0.00076263444 0.0021494713 0.0009010664 0.0007500497 0.00072488026 0.0013667013 0.00044801628 0.0008381428 0.0007223633 0.010558586 0.0026478264 0.00072488026 0.0038131722 0.0034431813 0.00045556712 0.00071984634 0.0006997108 0.0037074606 0.0016637009 0.0008205242 0.0009539223 0.0022904202 0.00050338905 0.0015277858 0.0024187844 0.005650542 0.0010923543 0.0008406597 0.0011804474 0.0038559602 0.0009891596 0.0025219792 0.040978387 0.012953368 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.039770886 0.0006464034 0.00033395403 0.000335219 0.000120172845 3.1624433e-05 6.577882e-05 1.5179728e-05 2.6564523e-05 1.7709683e-05 1.2649773e-05 5.059909e-06 8.854841e-06 8.854841e-06 2.2769593e-05 2.9094479e-05 0.009448116 5.9453934e-05 0.00011258298 0.0001505323 7.716362e-05 3.1624433e-05 0.000111318004 0.00011005303 0.0025565191 2.5299546e-06 3.794932e-06 5.059909e-06 0.0 8.854841e-06 6.3248867e-06 0.00026944018 0.01144425 0.00014800235 0.00014420741 0.00014673737 8.222352e-05 2.7829501e-05 8.601846e-05 0.0013509957 0.006490599 2.7829501e-05 3.5419365e-05 2.2769593e-05 3.415439e-05 2.5299547e-05 3.5419365e-05 0.00062363385 0.009730206 6.9573754e-05 0.00020239638 0.00017077193 0.0003010646 0.00019733647 0.00024414062 0.0034457983 0.014912818 4.0479274e-05 7.083873e-05 3.668434e-05 6.3248866e-05 4.300923e-05 4.0479274e-05 0.0015192378 0.0027639754 6.3248867e-06 0.000111318004 1.1384796e-05 8.095855e-05 6.70438e-05 0.00037569826 0.00039720288 0.0053457944 0.0 1.1384796e-05 0.0 2.1504615e-05 0.0 3.794932e-06 0.0011663091 0.014481461 0.00020619131 0.0003744333 0.00020745628 0.00058315456 0.00051611074 0.0017481986 0.0013838852 0.0070547787 0.00011005303 0.00014926732 3.9214297e-05 0.00017456687 5.692398e-05 9.360832e-05 0.0013181064 0.020935375 0.0006628481 0.0033079158 0.00028335492 0.0013990649 0.00068561774 0.010159033 0.0060731564 0.0033698997 0.00024161067 7.336868e-05 6.3248866e-05 9.48733e-05 6.9573754e-05 6.830878e-05 0.001735549 0.044697974 0.0011068551 0.0032560516 0.00088927906 0.0023111135 0.0020922725 0.010404439 0.007201516 0.0055583105 0.00029853464 0.0002960047 0.00027070515 0.000446537 0.00013661756 0.0002504655 0.003684879 0.013009027 0.00043894714 0.0019607148 0.0008424749 0.0025185698 0.0013977999 0.008618291 0.004848658 0.0006299587 0.00022769591 0.00018215674 0.00013788253 0.00020619131 0.00016318208 0.00016950697 0.0009183735 0.008512032 0.00033268903 0.0011738989 0.0005350854 0.0014926733 0.0014319543 0.0053647687 0.0029258926 0.00025805537 0.00020745628 0.00015432724 0.000120172845 0.00013914751 0.00012649773 0.00012143782 0.00041997246 0.004063107 0.00045412686 0.00044906695 0.0003288941 0.0006881477 0.00056291494 0.0014964682 0.0007513965 0.00026438027 0.00018721665 0.00015938714 0.00012649773 0.00014294244 0.0001897466 0.00014294244 0.00035545864 0.03098562 0.0044337455 0.003917635 0.0032003927 0.0045880727 0.0030903397 0.0057164324 0.0038632408 0.0041655703 0.0016685051 0.0014964682 0.0016292908 0.0022010605 0.0014711686 0.0018076526 0.0034850126 0.06870218 0.012424608 0.009209035 0.0073444583 0.020533113 0.01927699 0.009315293 0.013693379 0.033248663 0.003124494 0.0024274916 0.0050611743 0.014031129 0.0066651655 0.01284205 0.026349477 0.049807217 0.012231066 0.010329805 0.008784003 0.021018863 0.020267466 0.0074481866 0.015111419 0.027487958 0.0020492633 0.002731086 0.0037051185 0.012782596 0.0068422626 0.011725075 0.026020585 0.004336342 0.0037051185 0.0037822821 0.0038278215 0.0036393397 0.0036937338 0.0042629736 0.0038290864 0.0034748928 0.0036532546 0.0037139733 0.0035077822 0.0034824826 0.003736743 0.00362922 0.0033104457 2139.0 14.181861 30335.0 0.06724905 0.00072523486 0.00220867 0.0013515741 0.0016482611 0.002241635 0.00095599145 0.0019449481 0.0017471567 0.0012526785 0.0011208175 0.0019119829 0.0019779133 0.004318444 0.008702818 0.002538322 0.0035932092 0.0048129223 0.0023405307 0.0023405307 0.0016482611 0.0010219219 0.0012197132 0.00085709576 0.0012197132 0.0018790177 0.0021097742 0.0021097742 0.0036921047 0.0018460524 0.0036261743 0.0011537827 0.0023405307 0.008669853 0.0037910005 0.009032471 0.009461018 0.008241305 0.005670018 0.0040547224 0.005505192 0.0073182792 0.00085709576 0.0013845393 0.004285479 0.0045821657 0.0047140266 0.004615131 0.012823471 0.0024064612 0.0061644963 0.013219054 0.011438932 0.003131696 0.005472227 0.008340201 0.0019119829 0.0033294873 0.0009889567 0.0015493655 0.0012197132 0.0013186089 0.0016812263 0.0022746003 0.0010548871 0.04298665 0.007944618 0.022416351 0.027789682 0.095302455 0.009823636 0.013416845 0.020042855 0.040745012 0.0026372178 0.0032305918 0.029701665 0.013647602 0.04690951 0.045788694 0.018987969 0.0031976264 0.051920224 0.034778308 0.062271304 0.023471238 0.0072523486 0.047700677 0.008340201 0.008472062 0.0014175045 0.00042854788 0.00095599145 0.00039558267 0.00079116534 0.007021592 5.405619 2.0 3.0 0.0 1.0 397307.0 405504.0 0.0 0.0 283.0 0.0 1.0 0.0 0.0 0.0 999650500.0 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 200704.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -200704.0 0.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4309688 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.70126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.562041 0.0 5.161675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16618.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -198485.0 0.0 122136.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -2.0 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 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 1.0 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 1.0 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 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 -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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 -2.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 -3.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 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 0.0 1.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 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 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 1.0 -1.0 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 -1.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 215356.0 122136.0 282624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1164.0 204800.0 64.0 214880.0 0.0 0.0


Input: 0.15137483 0.011024126 0.0054746973 0.005257426 0.007676478 0.0029809147 0.0029781468 0.0030943942 0.008436237 0.0024674889 0.0026861446 0.0020398647 0.005005556 0.0019180815 0.0013119346 0.0043703476 0.006788016 0.0010697526 0.0010545297 0.0009147561 0.0024716405 0.0015319743 0.0012081423 0.00093274674 0.002168567 0.00077359856 0.00083310617 0.00077221467 0.0017533979 0.0006393605 0.00074038503 0.0006891808 0.0119001325 0.0006186021 0.0011569381 0.00063520885 0.004958504 0.0017188004 0.0006255216 0.0006545834 0.0019485273 0.0009839509 0.0010282357 0.0016219276 0.0024204364 0.0009576569 0.0016579089 0.00072101044 0.0028051597 0.0009106044 0.00086355186 0.008996716 0.001252427 0.0006393605 0.000700252 0.00054110383 0.0013977363 0.00056878175 0.0017395589 0.0025103895 0.0014240303 0.0013769778 0.000700252 0.0006047631 0.0092472015 0.0060310243 0.0032521586 0.007636345 0.0054636262 0.020898232 0.0043274467 0.0033614864 0.0035067957 0.008578779 0.0010822077 0.001158322 0.0026487794 0.0036341143 0.002329099 0.0020038832 0.008642438 0.0014876896 0.002614182 0.007979551 0.003836163 0.009699736 0.0044257035 0.003729603 0.0014032718 0.005053993 0.002356777 0.0041516917 0.0013991201 0.0029781468 0.0035469288 0.0024079813 0.0009493535 0.007810716 0.0016579089 0.0042001284 0.009125418 0.014115752 0.0039800885 0.003003057 0.0065098526 0.008268786 0.0042541 0.0011763127 0.0063119554 0.0028785062 0.0091932295 0.009356529 0.0040991036 0.0006116826 0.0084085595 0.0067326603 0.017791383 0.008695027 0.0012870245 0.0019512951 0.002439811 0.001818441 0.00083449006 0.00078605366 0.0018696452 0.00183228 0.00087185524 0.0009714959 0.0065970384 0.0015070641 0.000660119 0.007687549 0.0034915728 0.004892077 0.00066427066 0.0006518156 0.0019014748 0.011000599 0.0023484735 0.05460305 0.00092582725 0.009389743 0.00042762424 0.0005909241 0.0024481143 0.00044561492 0.00057570124 0.00058262073 0.00089676544 0.001264882 0.00042762424 0.00042485647 0.0006961003 0.00076806295 0.00036258108 0.0007611435 0.00066288677 0.0004054819 0.00042485647 0.00053418434 0.0010489941 0.0019180815 0.00053141656 0.0007473045 0.0007168588 0.0006545834 0.00040824967 0.0004013302 0.00088569423 0.00037226835 0.0004968191 0.00037780395 0.0007030198 0.00036396497 0.0003611972 0.00042624035 0.0015499649 0.0006504317 0.0018821002 0.00057293347 0.0006808774 0.0004096336 0.0007694469 0.0006656546 0.0033255052 0.0018295122 0.003742058 0.0008538646 0.0009535052 0.00046360557 0.00058677245 0.0005715496 0.010783328 0.0013783616 0.0015956336 0.011651031 0.0030777876 0.0008441773 0.005402735 0.0025920395 0.0015693394 0.0018419672 0.00073346554 0.0006531995 0.0020426323 0.0004400793 0.0007832858 0.00069194863 0.0024578015 0.0009590408 0.0023097245 0.0020108027 0.0019637502 0.0007085554 0.0021367373 0.0010379229 0.0042222706 0.00084140955 0.00094658573 0.00258512 0.0014115752 0.00052588095 0.0005853885 0.00079297315 0.0020716942 0.00051204197 0.00060891476 0.0005770851 0.0017229521 0.0011929194 0.00053141656 0.0006186021 0.02907568 0.004817346 0.0011458669 0.0055549634 0.004241645 0.00057431735 0.000632441 0.00073761726 0.005296175 0.00073069776 0.0015292064 0.0007556079 0.0034901889 0.00052034535 0.0028342216 0.0021879415 0.008159459 0.0026764572 0.003111001 0.004636056 0.010156422 0.0031691247 0.005413806 0.062456667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0045068916 5.895441e-05 9.016557e-05 2.9823997e-05 0.0003079501 0.00016229803 0.00012415106 7.42132e-05 7.837469e-05 2.7049671e-05 1.9420277e-05 9.2246315e-05 2.9823997e-05 2.4275347e-05 1.8033114e-05 3.8146973e-05 0.0030635486 6.31159e-05 8.877841e-05 5.6180088e-05 0.00012900612 7.768111e-05 0.0003981157 0.00019628351 7.143887e-05 3.7453392e-05 7.6293945e-06 1.6645952e-05 1.10973015e-05 9.016557e-06 7.6293945e-06 2.7743254e-05 0.016591853 0.0002788197 0.0037807117 0.00035442004 0.0012172352 0.00066930597 0.013076782 0.0062574907 1.3871627e-05 1.6645952e-05 2.7049671e-05 4.022772e-05 3.9534134e-05 2.2888184e-05 4.369562e-05 0.00018310547 0.008033059 0.00011652166 0.00032390247 0.00024067271 0.0015210238 0.00070467865 0.005122098 0.0025780417 9.987571e-05 6.866455e-05 5.826083e-05 8.392334e-05 8.808483e-05 3.3985485e-05 0.00016229803 0.0006512729 0.007168163 0.00030517578 0.0019184459 0.0009619973 0.0027965198 0.001956593 0.013320923 0.0060508032 0.000108892265 7.351962e-05 8.947199e-05 7.351962e-05 6.797097e-05 5.20186e-05 5.0631435e-05 0.0005167181 0.009866888 0.00035233932 0.002007918 0.001278964 0.0022749468 0.0011055686 0.008062883 0.0040928232 0.000780279 0.00020252574 0.00017408891 0.00020321933 0.00085657294 0.00013108687 0.0004646995 0.0022361062 0.018364646 0.0011742332 0.0011950406 0.00089957495 0.0054473877 0.0016063344 0.006077853 0.003351385 0.0021112615 0.00088570337 0.0003301447 0.0005347512 0.0011284568 0.00041129373 0.0007331155 0.002623818 0.012793801 0.0009897406 0.0014717795 0.0007261796 0.005559748 0.0024081143 0.003800132 0.002519781 0.004144842 0.00054446136 0.00040990656 0.0007303411 0.0014710859 0.0006935813 0.0018428456 0.003927751 0.055573203 0.0075843115 0.007571827 0.0071105957 0.025616039 0.017812556 0.012895757 0.011762446 0.036216043 0.0035116023 0.0026772239 0.0061902134 0.013861916 0.008040688 0.017972773 0.036909625 0.081783645 0.013412476 0.014918935 0.015369069 0.04030193 0.039186653 0.029227518 0.02379192 0.06379075 0.00629217 0.0066188467 0.011538419 0.028558211 0.016084151 0.033357795 0.0700857 0.00017686324 4.7857113e-05 4.9937855e-05 4.022772e-05 0.00013871626 0.00011998957 8.739124e-05 6.727739e-05 0.00017131459 4.6469948e-05 2.3581764e-05 4.716353e-05 6.866455e-05 4.8550693e-05 8.808483e-05 0.00019836426 6032.0 16.55504 99860.0 0.05398558 0.00017023833 0.0027137992 0.00022030843 0.0013919488 0.0029341078 0.00032044863 0.0003705187 0.0028339676 0.0025335469 0.000520729 0.00016022431 0.0019927898 0.0019427198 0.0064590424 0.0014520328 0.0014620469 0.0017624674 0.0017424395 0.0018325656 0.0017724815 0.00070098136 0.001051472 0.00033046264 0.00090126175 0.0004706589 0.0076907673 0.004065692 0.0011115562 0.0008311636 0.00079110754 0.00045063088 0.0008111356 0.010404566 0.0070398557 0.014069698 0.010384538 0.013258562 0.008241538 0.0054275985 0.0039855796 0.01230723 0.0002603645 0.0016222711 0.007510515 0.0064690565 0.009323052 0.009072701 0.009483277 0.0017023834 0.008602043 0.019747647 0.016052473 0.005677949 0.0033446825 0.0073002204 0.0015822151 0.0054476266 0.001011416 0.0043560984 0.0017324254 0.004055678 0.004105748 0.004636491 0.0001502103 0.045874223 0.008952534 0.025175245 0.022841979 0.088073306 0.009923893 0.017624674 0.014129782 0.04952934 0.0007410374 0.0044362107 0.035509713 0.0150711 0.056108553 0.05605848 0.017584618 0.0003104346 0.05005007 0.0376427 0.06841578 0.019737633 0.0042759865 0.008592029 0.006048468 0.007981174 0.002022832 0.0003004206 0.00038053276 0.00027037854 9.0126174e-05 0.0001001402 5.359879 3.0 3.0 7.0 4.0 722597.0 774144.0 0.0 0.0 19.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 -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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 626176.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 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 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -626176.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 68608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.184317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7035685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.603149 0.0 0.0 0.0 0.0 0.0 0.0 -5.0749593 5.071491 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -35804.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 5516.0 0.0 0.0 0.0 0.0 0.0 -4384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -625956.0 0.0 0.0 0.0 0.0 0.0 0.0 -9754.0 68608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9754.0 647168.0 68608.0 704512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 663552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.63083404 0.0054954947 0.0018590916 0.0033750809 0.002080989 0.0017477432 0.0016025641 0.0014057066 0.0015186532 0.0015162558 0.0050522326 0.0016904707 0.0014925477 0.0014003789 0.0012954237 0.0014033092 0.0014014444 0.0013228613 0.001536501 0.0056931516 0.0014994736 0.0014366071 0.0013897235 0.0012567982 0.0013487005 0.0013220621 0.0013028824 0.0013220621 0.0013063455 0.0012498721 0.0013119396 0.0012882313 0.0013473686 0.0012908953 0.001333783 0.0013409754 0.0014065057 0.00141503 0.0013947849 0.00138999 0.0013977151 0.0013931865 0.001379601 0.0014395373 0.0013822648 0.0013353813 0.0013742733 0.0014200913 0.0014552539 0.0014304803 0.0014619136 0.0015410294 0.001492814 0.0014592496 0.0014168947 0.0014744336 0.0014707042 0.0014957442 0.0014509918 0.0014485944 0.0013686792 0.0013340494 0.0013484341 0.0013772035 0.0015207843 0.0013926538 0.0013513643 0.0013854614 0.0013788019 0.00175387 0.0013252588 0.0013156689 0.0013431064 0.0012821045 0.0012464091 0.0012171069 0.0012847683 0.001651046 0.0012996859 0.0012733139 0.0013697448 0.0012413479 0.0012373521 0.0013718759 0.0012730475 0.0016366612 0.0012703837 0.0012701172 0.001251204 0.0012970221 0.001238684 0.0012357538 0.0012258976 0.0012583964 0.0012892969 0.0012669207 0.0015079979 0.0013002186 0.0012882313 0.0012610602 0.0012959566 0.0013276562 0.001294891 0.0012701172 0.0013308527 0.0012669207 0.0013092757 0.0012682526 0.0013063455 0.0012370857 0.0013132715 0.0012959566 0.0012706501 0.0013079437 0.0013058127 0.0013380451 0.001453922 0.0014248862 0.0013167345 0.0013193983 0.0012874323 0.0012775761 0.001284502 0.0012690518 0.0012613266 0.0013305864 0.0012570645 0.0012360202 0.0013170008 0.0013146034 0.001247741 0.0014515246 0.0013084766 0.00133032 0.0012128449 0.0012727812 0.0013007515 0.0016345301 0.0012927599 0.0018271256 0.0013140705 0.0013878589 0.0013375124 0.001303948 0.00134284 0.001369212 0.0013721422 0.0015282431 0.0014147636 0.0014128989 0.0013891908 0.0013993133 0.0014398036 0.0013718759 0.0013881252 0.0013516307 0.0013809329 0.0013697448 0.001381732 0.0013572248 0.0016118875 0.0013833303 0.0013550937 0.0013279226 0.0013780027 0.0012887642 0.0012746458 0.0012839693 0.0013287216 0.0012570645 0.0012738467 0.0012682526 0.0013244596 0.0012402823 0.0012051197 0.0012200371 0.0012613266 0.0011936652 0.0012077835 0.0012296269 0.001271982 0.0011723544 0.0012466755 0.0012285614 0.0012567982 0.0011840754 0.0012216355 0.001212312 0.0012653224 0.0012392168 0.0012599947 0.0012232338 0.0013662818 0.0012565317 0.0012392168 0.0012565317 0.001294891 0.0012203036 0.0012208363 0.001275445 0.0012821045 0.0012493393 0.0012549334 0.0012112465 0.0013122059 0.0011965954 0.0012179061 0.0012173733 0.001281039 0.0012040541 0.0011632974 0.0012618594 0.0012794407 0.0011664941 0.0011726209 0.0011454497 0.0012304261 0.0011425195 0.0011377246 0.0011246718 0.0012179061 0.0011662276 0.0011361263 0.0011417203 0.0012368193 0.0011435851 0.0011252046 0.0011198769 0.0012328236 0.0011398557 0.0011590353 0.001164363 0.0013476349 0.0011720881 0.0011299995 0.0012533352 0.001247741 0.0011638302 0.0011870055 0.0011339952 0.0012504049 0.0011723544 0.001167826 0.0011611664 0.0011832762 0.0011371919 0.001150511 0.0011382573 0.0012304261 0.0011329297 0.0011257373 0.0011941979 0.0013409754 0.0012011239 0.0012466755 0.01995027 0.0024549954 0.0 1.3322817e-07 1.3322817e-07 1.3322817e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.3322817e-07 0.0 1.3322817e-07 0.0002507354 3.9968452e-07 0.0 2.6645634e-07 0.0 0.0 0.0 0.0 1.5987381e-06 0.0 0.0 0.0 1.0658254e-06 0.0 5.329127e-07 1.825226e-05 0.0009905514 2.9310197e-06 1.1990536e-06 2.6645635e-06 2.7977917e-06 1.0658254e-06 1.3322817e-06 2.3981072e-06 3.730389e-06 1.3322817e-06 5.329127e-07 7.9936905e-07 3.863617e-06 9.3259723e-07 1.9717769e-05 5.555615e-05 0.002697604 0.00024953636 3.064248e-06 2.9310197e-06 4.7962144e-06 7.9936905e-07 5.0626704e-06 5.9952677e-06 2.7977917e-06 9.3259723e-07 1.3322817e-07 7.9936905e-07 4.130073e-06 3.5971607e-06 3.4639324e-06 0.00028857222 0.0011983874 1.9850997e-05 6.6614086e-07 7.061093e-06 8.126918e-06 2.6645635e-06 0.0 7.3275496e-06 1.3322817e-05 2.1316507e-06 2.6645634e-07 1.3322817e-06 1.0258569e-05 1.7319662e-06 6.6614084e-06 0.00035731797 0.0023422844 0.0005181244 8.926288e-06 2.264879e-06 7.5940056e-06 5.462355e-06 7.460778e-06 1.8385488e-05 5.728811e-06 8.926288e-06 3.5971607e-06 3.863617e-06 3.863617e-06 9.325972e-06 7.727234e-06 0.0005935315 0.0017716682 9.4592004e-05 2.5446581e-05 1.37225015e-05 2.5046897e-05 1.385573e-05 1.5854152e-05 1.10579385e-05 1.26566765e-05 1.5720925e-05 1.598738e-05 2.4114299e-05 6.315015e-05 6.8878966e-05 0.00010112018 0.00018278905 0.38042346 0.009686355 0.009714332 0.009782412 0.009764026 0.009624003 0.009773619 0.009790805 0.009802929 0.009637726 0.009767357 0.009722992 0.0097477725 0.009749238 0.009743642 0.009872341 0.2010878 0.0062276176 0.0059497035 0.006011122 0.0059497035 0.0058732308 0.0059281206 0.0059261224 0.0059608947 0.005925456 0.005950503 0.0059139985 0.005914798 0.0058801584 0.0058933483 0.0064668953 0.043437846 0.002083289 0.0015722257 0.0016982595 0.0015752899 0.0015302588 0.0016027349 0.0015611678 0.0016065985 0.0015819513 0.0015868808 0.0015486443 0.0016472331 0.0015337227 0.0014732372 0.0024463357 0.00515633 0.00063243415 0.00028404247 0.0004846841 0.00026592345 0.00015521082 0.00017919189 0.00014042249 0.00020503816 0.00032321154 0.00020410556 0.0001504146 0.00039755285 0.00020663689 0.00013442723 0.0017215745 0.0059519685 0.0008233501 0.00057447987 0.0013397424 0.0005556947 0.00034079768 0.0002998966 0.00032214573 0.00064295914 0.00085812266 0.00020730303 0.00061178376 0.0007969709 0.0002075695 0.00017852575 0.0029326186 0.013231023 0.0044684727 0.0029086375 0.0026505745 0.0021941348 0.0016542942 0.0019399354 0.0020275996 0.0016886671 0.0028723993 0.0020666353 0.0007133036 0.00028684025 0.00014441933 0.00011231135 0.010972539 0.0015229313 0.00029816464 0.0002236901 0.00022955214 0.00080922793 0.00047415905 0.0001276326 0.00030282763 0.00088836544 0.00019691123 0.0002572636 0.00026885446 0.0003044264 0.0002553984 0.00038129903 0.00082628115 0.00068505923 0.0001276326 6.38163e-05 0.00013509336 0.00018505393 0.00023661324 0.00010938033 0.00020890178 0.00041167505 5.1426076e-05 4.4764667e-05 6.0085906e-05 0.00022635466 0.0001357595 0.00019744415 0.00039515476 0.00058327295 0.00075980026 0.00071183813 0.00066640734 0.0006464231 0.0008153564 0.0008646508 0.0006128496 0.00060938566 0.0007949725 0.0009210064 0.000657481 0.0006682725 0.00077738636 0.0007081077 0.0006625437 419.0 8.868735 3716.0 0.02502691 0.0034983854 0.0032292788 0.007534984 0.0034983854 0.004305705 0.0045748116 0.0051130247 0.0064585577 0.0045748116 0.0051130247 0.0064585577 0.0067276643 0.0034983854 0.006189451 0.004305705 0.006189451 0.0029601722 0.004305705 0.0059203445 0.0053821313 0.0045748116 0.0053821313 0.0053821313 0.0045748116 0.0051130247 0.0045748116 0.006189451 0.003767492 0.0040365984 0.003767492 0.0040365984 0.0045748116 0.017491927 0.0053821313 0.012109796 0.023681378 0.010764263 0.009687836 0.020721206 0.0078040906 0.016953714 0.0053821313 0.0053821313 0.009956943 0.007534984 0.014531755 0.0059203445 0.024757804 0.005651238 0.0067276643 0.030139936 0.009149623 0.0072658774 0.00941873 0.012917115 0.015069968 0.0078040906 0.005651238 0.0067276643 0.004843918 0.0088805165 0.0064585577 0.0067276643 0.018568354 0.024219591 0.009149623 0.01964478 0.01964478 0.0532831 0.00861141 0.010764263 0.010226049 0.02502691 0.0072658774 0.0053821313 0.022604952 0.010226049 0.02744887 0.02502691 0.010226049 0.006189451 0.03363832 0.020182993 0.034983855 0.014531755 0.009149623 0.0059203445 0.0059203445 0.010495156 0.0072658774 0.0032292788 0.004305705 0.0040365984 0.003767492 0.0067276643 6.2003818 0.0 0.0 0.0 7.0 3753984.0 10113024.0 0.0 0.0 63.0 0.0 1.0 0.0 0.0 0.0 1433728400.0 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 10.0 5.0 0.0 48128.0 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 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3324928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48128.0 0.0 371200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.041171 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4619007 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.474243 0.0 5.4732614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8236.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9673024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48068.0 0.0 370944.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 59900.0 370944.0 9740288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 59416.0 0.0 0.0 260.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.14127807 0.0072001945 0.0031780596 0.0033453258 0.0057567484 0.0036783097 0.0019932566 0.0018600632 0.007491362 0.0013954346 0.0016385902 0.0014217636 0.0043721553 0.0013303865 0.0011104624 0.003428959 0.005583287 0.0014821652 0.0011677665 0.0008920869 0.002395935 0.0019731228 0.00076818594 0.00082084385 0.0022271196 0.00073566195 0.0008100025 0.0006737115 0.0015053967 0.0005622006 0.00057304197 0.00054981053 0.003845576 0.00053587166 0.00058543205 0.00051883527 0.0039338553 0.0014589338 0.00044449468 0.0005126402 0.0009153183 0.0006303461 0.0005622006 0.0007991612 0.0010035977 0.0027041384 0.00067061395 0.00043055584 0.0071568293 0.0034134714 0.0048058084 0.010489765 0.004920417 0.0024764705 0.004392289 0.0021574255 0.0055476655 0.0025275797 0.00065202883 0.001386142 0.0017253208 0.0009896589 0.00046772612 0.0005095427 0.011744263 0.004263742 0.005301412 0.009354522 0.0038595148 0.03508875 0.0032167786 0.0028946362 0.0036906998 0.0036302982 0.0009788176 0.0011073648 0.0022952652 0.004231218 0.0011166574 0.0014914578 0.008417522 0.002127999 0.0020195856 0.009905882 0.0030804877 0.014264098 0.0026375416 0.0017562961 0.00193905 0.006636445 0.0027351137 0.0027087848 0.00161381 0.004827491 0.0018399293 0.003839381 0.0054377033 0.00500405 0.0019622815 0.0038285397 0.009527984 0.006531129 0.0039338553 0.0018569656 0.007595129 0.004627701 0.0033004119 0.0017051869 0.0032911194 0.002004098 0.0046029207 0.0040778904 0.003123853 0.0017826251 0.0051310486 0.004334985 0.00940718 0.0053076074 0.0020830848 0.0014093734 0.0027769303 0.0012405583 0.0004894088 0.0005017989 0.001516238 0.002634444 0.0010376705 0.0008796968 0.004290071 0.0011553764 0.0011615715 0.0086560305 0.0027444062 0.0027149797 0.0010299267 0.00057304197 0.002615859 0.015741616 0.002095475 0.048243936 0.0012328145 0.011485619 0.0009524886 0.00070004043 0.002479568 0.00043365336 0.0007248206 0.0005591031 0.0011677665 0.00092461094 0.0016029687 0.00060556596 0.0012142294 0.00058078574 0.0005389692 0.00072327186 0.00088898937 0.00045068975 0.00046153108 0.0004321046 0.0008502703 0.0031393406 0.00048011623 0.0027970641 0.001418666 0.00070623547 0.0005591031 0.00046153108 0.0010190854 0.00047856747 0.0005389692 0.0004940551 0.0008347827 0.0004243608 0.00080535625 0.00039648308 0.0011460839 0.00073101564 0.0017903688 0.00051573775 0.0008781481 0.00072017434 0.00073875947 0.001528628 0.002961233 0.002290619 0.005256498 0.00074030826 0.0010051465 0.0005017989 0.0008100025 0.000748052 0.011813956 0.0012715335 0.0023541183 0.009374657 0.0044217156 0.001119755 0.0031130116 0.0034475443 0.0018461243 0.0018074053 0.0009834638 0.0013427767 0.0016478827 0.0010082441 0.0010980723 0.0010438656 0.002883795 0.0012126806 0.0030076958 0.0012653385 0.0018972334 0.0008471728 0.0015890298 0.0008951844 0.0029503915 0.0006922966 0.0009958539 0.0016974432 0.0015177868 0.0007650884 0.0005591031 0.0008781481 0.002543067 0.0007496008 0.0009013795 0.0011538276 0.0024950556 0.0027041384 0.0005745907 0.0007650884 0.026167883 0.0066085677 0.0011615715 0.005961185 0.0070561594 0.0011662177 0.00072327186 0.0007496008 0.0076477868 0.0010825846 0.0018709045 0.0009509399 0.0097107375 0.0010531582 0.0021310966 0.0026514805 0.010715884 0.003520336 0.0034413491 0.004186304 0.015193355 0.0045254827 0.0047872234 0.07282589 0.0 0.0 0.0 0.0047562784 0.0 0.0 8.539099e-06 4.6576906e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027503665 0.0 0.0 0.00026781723 0.00016146661 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012086708 0.0 0.0 0.00023210826 0.0001490461 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012349867 0.0 0.0 0.007132477 0.0043650325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020423974 0.0 0.0 0.0016146662 0.0011124118 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006901145 4.6576906e-06 2.2512171e-05 8.383844e-05 0.00018630763 9.470638e-05 7.762818e-06 9.315381e-06 1.9407045e-05 0.0 0.0 2.3288453e-06 1.0091663e-05 3.881409e-06 6.2102545e-06 0.00044869087 0.0076316264 0.00025772557 0.00026704094 0.00068933825 0.0023917241 0.00061093376 0.003063208 0.0013328758 0.00024375248 0.00012575765 0.000115665986 9.3930095e-05 0.0008407132 0.00047586075 0.00050147803 0.0036159207 0.015572213 0.0007429017 0.0011364765 0.0025881235 0.004660796 0.004391426 0.008016662 0.0036578397 0.000506912 0.0002779089 0.0003617473 0.00040211398 0.0025694927 0.0013615983 0.0013810053 0.0111963125 0.017987225 0.0010169292 0.0011628701 0.0030647605 0.0060751815 0.0025966626 0.005763116 0.0028031536 0.0023047808 0.0008826324 0.0010565196 0.0015145257 0.004774133 0.0029351215 0.0031579144 0.011266954 0.020198077 0.0015416957 0.0013220079 0.0021797994 0.010090111 0.004018811 0.005040398 0.0027278543 0.0060681948 0.0015184071 0.0017551731 0.002559401 0.0043262183 0.00195623 0.0042493665 0.009939512 0.0783082 0.01061022 0.00804228 0.010995256 0.047011625 0.03369684 0.02315571 0.014896847 0.05564776 0.0057087764 0.006573554 0.010058283 0.017993435 0.0074453186 0.030653039 0.06845564 0.04964167 0.008520469 0.0075105266 0.010139016 0.023948293 0.024972985 0.014562271 0.012117758 0.04068881 0.005269401 0.005534113 0.0077465163 0.017183773 0.009457441 0.021590726 0.04159318 0.00029265822 5.9773698e-05 0.00010790317 6.520767e-05 0.00011333714 0.0001242051 5.4339725e-05 8.228587e-05 0.00016845315 3.6485246e-05 4.191922e-05 3.6485246e-05 0.00010557433 7.529934e-05 9.160125e-05 0.00013429674 4307.0 18.392616 79217.0 0.005478622 0.000113611975 0.00036608303 6.311777e-05 0.0030548999 0.0004923186 6.311777e-05 0.00013885909 0.00025247107 0.00035345947 0.00073216605 0.0005428128 0.0003029653 0.015413358 0.0010603785 0.0004039537 0.035661537 0.019818978 0.035320703 0.015236628 0.031735614 0.016827196 0.03240466 0.014151003 0.03556055 0.016385373 0.00078266027 0.00029034173 0.00087102514 0.00055543636 7.574132e-05 8.836487e-05 0.0012876024 0.007902344 0.0065390007 0.013153742 0.0055291164 0.016170772 0.0037870659 0.0022343688 0.0041405256 0.01779921 0.0022343688 0.0036734538 0.0067157303 0.005592234 0.00401429 0.007864473 0.012484694 0.0021712512 0.0055796104 0.019326659 0.010629032 0.00593307 0.005869952 0.0030927705 0.002852923 0.0044813612 0.0012876024 0.0020828862 0.0010351314 0.0021081334 0.0020702628 0.022646654 0.0002146004 0.029917821 0.012838153 0.027721323 0.025966648 0.048752163 0.01147481 0.010969868 0.015943548 0.033578653 0.007940215 0.008647134 0.019781107 0.012497317 0.034298193 0.03009455 0.016347501 0.0048095738 0.03495462 0.02831463 0.03620435 0.011638916 0.011373822 0.0075236377 0.012737165 0.006210788 0.0007952838 0.00026509463 0.000479695 0.00026509463 0.00025247107 0.0003029653 5.7349224 0.0 1.0 14.0 4.0 645677.0 3952640.0 0.0 0.0 0.0 0.0 0.0 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 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5729594 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0