Input: 0.14220676 0.008616409 0.00417912 0.0034182644 0.006230823 0.003942051 0.0020256382 0.0019573723 0.007870449 0.0015080578 0.0016992027 0.001503093 0.0045663742 0.0013702847 0.0012287879 0.0038837146 0.006153869 0.001503093 0.0011853459 0.0008949051 0.0024675054 0.0019797138 0.00076706155 0.0008253979 0.0023049081 0.0007546495 0.0008303627 0.0007112075 0.0016160422 0.0006044643 0.00059453474 0.00056598714 0.0038861968 0.00058708753 0.00065287115 0.0005436455 0.004160502 0.0013193955 0.00046544996 0.00056226354 0.0011853459 0.0006541123 0.00058460515 0.0009445531 0.0011071503 0.0023458677 0.00067769515 0.00051882153 0.0056276005 0.0029441263 0.0031998134 0.010426079 0.0033140038 0.0021956826 0.0027157455 0.0018791766 0.0038266194 0.0022949786 0.00071617233 0.0014857163 0.0016706551 0.0009780655 0.00046669116 0.00052999234 0.01180257 0.003938327 0.0049139103 0.008849755 0.0038787497 0.032643557 0.0032767677 0.0027157455 0.0033921993 0.003557279 0.0021944414 0.002360762 0.0027169865 0.0043988125 0.0011630043 0.0015353643 0.009083101 0.0021497582 0.002061633 0.009781896 0.0032134666 0.013874132 0.0032308432 0.0021013515 0.001931307 0.006531194 0.0027492577 0.0032680794 0.0015701179 0.004649535 0.002384345 0.0036143742 0.005780268 0.0044819727 0.0018071871 0.0032891796 0.009430637 0.006178693 0.0040562414 0.0016098362 0.0079275435 0.0042585568 0.0037918657 0.0014087618 0.0036168564 0.0017860866 0.0045440327 0.004087271 0.0032382905 0.0017314738 0.0050678193 0.0039147446 0.010351607 0.005587882 0.0018965534 0.0011183211 0.002949091 0.0012672651 0.0005324748 0.00059205235 0.001658243 0.0025258418 0.0010661907 0.00087752833 0.0052602054 0.0011617631 0.0010922559 0.009091789 0.0031315472 0.0032370493 0.0010376431 0.00062059995 0.0026710622 0.01523697 0.0022403658 0.051892087 0.0012002403 0.0110355085 0.00086015154 0.0006826599 0.0026648561 0.00044559076 0.0007298255 0.00064790633 0.0011270095 0.0009395883 0.0015167462 0.00056971074 0.0011778987 0.00059081113 0.00050144474 0.0007149311 0.0009594475 0.00047786196 0.00046669116 0.00042076677 0.00089986995 0.003340069 0.00046793235 0.002559354 0.0014286211 0.00082043314 0.00056598714 0.00045427916 0.0010500551 0.00045924395 0.0005113744 0.00048903277 0.0008502219 0.00045179678 0.00074471993 0.00066031836 0.0013293251 0.00068762474 0.0017364386 0.00053868076 0.00088125194 0.0006727303 0.0007149311 0.0015850123 0.003161336 0.0025432187 0.0046669114 0.0008266391 0.0010041307 0.00048158556 0.00085642794 0.00071741355 0.012038398 0.0011530747 0.0022949786 0.010385119 0.004372747 0.0010624671 0.003569691 0.0033797873 0.0018766943 0.0017711923 0.000986754 0.0013069835 0.0016880318 0.00089614635 0.0009954423 0.00094579434 0.0028845486 0.0011543159 0.0029850858 0.0013578727 0.0018195991 0.00077078515 0.0016098362 0.0008787695 0.0033797873 0.00065659476 0.0010897735 0.0017935338 0.0015018518 0.00072113716 0.000564746 0.00084525713 0.002447646 0.00066031836 0.00088125194 0.0009942012 0.0024414402 0.002440199 0.00055233395 0.00069631316 0.027706064 0.006047126 0.0010972207 0.0059205233 0.006556018 0.0010463315 0.0006826599 0.00075713196 0.0072684665 0.0009805479 0.0018233226 0.0009222115 0.009169985 0.0021783058 0.004110854 0.002602796 0.010103367 0.0030645225 0.0030843818 0.003625545 0.014941565 0.004010317 0.0043168934 0.069178276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017826931 0.0 0.0 0.00051938195 0.00024569567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0115744425 0.0 0.0 0.005172049 0.0036356738 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001215416 0.0 0.0 0.000781872 0.00055048265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055297074 3.732086e-06 1.8038416e-05 6.717755e-05 0.00014928344 7.588575e-05 6.2201434e-06 7.464172e-06 1.5550359e-05 0.0 0.0 1.866043e-06 8.086186e-06 3.1100717e-06 4.9761147e-06 0.00035952427 0.006115023 0.00020650876 0.00021397293 0.00055234873 0.0019164261 0.00048952526 0.0024544685 0.0010679986 0.0001953125 0.00010076632 9.268014e-05 7.5263735e-05 0.0006736415 0.00038129478 0.00040182125 0.0028973427 0.013362734 0.0006431628 0.00094857183 0.0020874802 0.004141371 0.0036195014 0.006987087 0.0032189242 0.0004553145 0.00023636545 0.00031162918 0.00033153364 0.0020887242 0.0011078075 0.0011252239 0.0090160975 0.020833125 0.0013068521 0.0012371865 0.00208437 0.0073385253 0.0025689192 0.0067115347 0.0032661972 0.0023991093 0.0009778065 0.0009796725 0.0013398188 0.0040704617 0.0026578673 0.002682126 0.009610121 0.020286376 0.0015668541 0.0012552249 0.0022747065 0.009457106 0.0040567773 0.00590416 0.0034185909 0.0058301403 0.0014181926 0.0017845591 0.0023126493 0.0038751492 0.0017783389 0.0040580216 0.009704046 0.07428655 0.009853329 0.007307424 0.010118308 0.042217355 0.030716311 0.021382987 0.01400403 0.05166451 0.0053107585 0.006077702 0.009176577 0.016849747 0.0070996718 0.027542794 0.061296403 0.060481563 0.010167446 0.009152319 0.011715018 0.028224522 0.030720044 0.017736739 0.01466461 0.0500056 0.00590727 0.006506892 0.009184663 0.021177722 0.0109785525 0.025176652 0.048709944 0.0002344994 4.7895104e-05 8.645999e-05 5.2249205e-05 9.0814094e-05 9.9522294e-05 4.3541004e-05 6.593352e-05 0.0001349771 2.9234674e-05 3.3588774e-05 2.9234674e-05 8.459395e-05 6.033539e-05 7.339769e-05 0.00010760848 5347.0 16.008978 85600.0 0.0054672896 0.00012850467 0.0005607477 9.3457944e-05 0.003364486 0.0005724299 0.00012850467 0.00017523364 0.00039719627 0.0004088785 0.00073598133 0.00058411213 0.0005023364 0.014310747 0.0011331775 0.00046728973 0.024415888 0.019042056 0.025338786 0.014871496 0.020841122 0.01656542 0.021658879 0.013457944 0.024193926 0.01698598 0.00082943926 0.0005140187 0.0009579439 0.0005373832 0.00011682243 0.00014018692 0.0013668224 0.0085630845 0.0074299066 0.014567757 0.007161215 0.016191589 0.0047429907 0.0030841122 0.0049415887 0.017663551 0.0024649533 0.0040070093 0.0068457946 0.0066939252 0.0044509345 0.009252337 0.012955608 0.0026285048 0.006004673 0.020549065 0.013119159 0.0062850467 0.0059228973 0.0035046728 0.0027920562 0.005373832 0.0015303738 0.0030023365 0.0011682243 0.0028037382 0.0029205608 0.022278037 0.00025700935 0.031168224 0.013317757 0.026915887 0.027207945 0.053014018 0.012219626 0.010549066 0.019018691 0.03463785 0.008060748 0.0068574767 0.02474299 0.012079439 0.03859813 0.034310747 0.019123832 0.0028271028 0.039906543 0.028820094 0.042278036 0.011028037 0.011436916 0.0057359813 0.014649533 0.0067056073 0.0010514018 0.00029205607 0.0005490654 0.00025700935 0.0003037383 0.00031542056 5.775552 0.0 2.0 14.0 4.0 805672.0 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 -6.5816 0.0 0.0 0.0 0.0 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


Input: 0.025876084 0.004651373 0.0041433345 0.0042788116 0.0041433345 0.00433526 0.0039739884 0.0041884934 0.0041884934 0.003951409 0.0040191473 0.0039739884 0.00347724 0.0036804553 0.0035901372 0.0041997833 0.003770773 0.003770773 0.003386922 0.003646586 0.0038949603 0.003601427 0.003341763 0.0035788475 0.0034207911 0.0035449783 0.003996568 0.0038046422 0.004075596 0.0034885297 0.0034207911 0.0033191836 0.0040981756 0.004064306 0.0034207911 0.0040530167 0.006604498 0.003996568 0.0038949603 0.004030437 0.003962699 0.0044481577 0.0035901372 0.0037143244 0.003962699 0.0037030347 0.0041546244 0.003386922 0.0041433345 0.0037143244 0.003827222 0.004086886 0.004075596 0.0038498014 0.0044142883 0.0036240064 0.0035223989 0.0043239705 0.00391754 0.0036240064 0.003556268 0.0036240064 0.003827222 0.0036578758 0.0039739884 0.0036804553 0.0037143244 0.00391754 0.00476427 0.003646586 0.00391754 0.0036352961 0.004470737 0.003815932 0.003251445 0.0038385116 0.004165914 0.003691745 0.0037594833 0.003770773 0.00390625 0.0034546603 0.004165914 0.003736904 0.00390625 0.0036352961 0.0037933525 0.0037820628 0.0039288295 0.00391754 0.0039852783 0.0035449783 0.0036127167 0.0036804553 0.0035336886 0.0037594833 0.003996568 0.0036240064 0.004301391 0.004120755 0.0040191473 0.0037594833 0.0040981756 0.0038949603 0.0035449783 0.0038723808 0.0039739884 0.0034659503 0.0039401194 0.003736904 0.00390625 0.0032627347 0.0034998194 0.004165914 0.004244942 0.0041546244 0.004165914 0.0036691655 0.0035901372 0.0039288295 0.003861091 0.003770773 0.003341763 0.0034207911 0.0038723808 0.004075596 0.0037820628 0.0037143244 0.0038836705 0.0038836705 0.003601427 0.00347724 0.003951409 0.0036240064 0.0033756322 0.003206286 0.004064306 0.0047416906 0.003951409 0.0048771678 0.0035901372 0.004290101 0.0035901372 0.003601427 0.0033756322 0.0041546244 0.0038498014 0.0034207911 0.0035788475 0.0035336886 0.0038498014 0.0034433706 0.0035675578 0.00391754 0.0036691655 0.003601427 0.003827222 0.0037256142 0.0037933525 0.0036578758 0.003736904 0.0037481936 0.0034320808 0.0036578758 0.004132045 0.0037030347 0.0035223989 0.0035111092 0.003601427 0.0034659503 0.0035901372 0.00390625 0.0037256142 0.003386922 0.0038498014 0.004120755 0.004064306 0.003646586 0.0037594833 0.0037594833 0.0036578758 0.003770773 0.0041546244 0.003861091 0.004132045 0.004064306 0.0033756322 0.0037030347 0.003691745 0.003996568 0.003646586 0.0035336886 0.0037030347 0.004685242 0.003815932 0.003815932 0.0034998194 0.0042562317 0.004030437 0.0040417267 0.003827222 0.0038046422 0.003815932 0.0036127167 0.0035901372 0.003736904 0.0031837067 0.00391754 0.0036691655 0.0037594833 0.0034885297 0.0036578758 0.0035901372 0.003736904 0.0038385116 0.0040191473 0.0037933525 0.004075596 0.0035223989 0.0034998194 0.003827222 0.0036804553 0.0036578758 0.0037594833 0.0036691655 0.0035223989 0.0035336886 0.0039401194 0.0035336886 0.003556268 0.0037933525 0.0039852783 0.0040417267 0.0038723808 0.004064306 0.0037143244 0.003996568 0.003861091 0.003827222 0.003736904 0.003827222 0.0037594833 0.003736904 0.003951409 0.0037820628 0.003770773 0.0038723808 0.0039288295 0.0036578758 0.0037481936 0.0035336886 0.0037143244 0.003815932 0.0037933525 0.0035788475 0.0046400833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009886259 0.0007123162 0.0016831342 0.000792739 0.0011776194 0.0008272059 0.0009248621 0.0011086856 0.0016084559 0.00044806986 0.00048828125 0.0005284927 0.0012120864 0.00050551473 0.00068359374 0.0009420956 0.0031192554 0.00024126838 0.0013844209 0.00033892464 0.0009420956 0.00031020222 0.00065487134 0.00050551473 0.0016199448 9.765625e-05 0.00010340074 0.00026999082 0.0010225184 0.00018956802 0.00049402576 0.0004710478 0.0025735295 0.00037913604 0.0010340074 0.00052274816 0.00091337314 0.00049402576 0.00071806065 0.0006261489 0.0012350644 0.00029871325 0.00026424634 0.00037913604 0.00085018383 0.00036764707 0.0005457261 0.0005629596 0.05986328 0.057462085 0.06155216 0.061046645 0.059576057 0.059375 0.0596335 0.059386488 0.0578642 0.059070542 0.059139475 0.06060432 0.05909352 0.059495635 0.059828814 0.05994945 426.0 5.892019 2510.0 0.009163347 0.015537849 0.005976096 0.0071713147 0.019521913 0.00876494 0.00876494 0.011155378 0.011553785 0.015139442 0.009163347 0.011952192 0.00996016 0.00876494 0.012350597 0.009561753 0.013545817 0.008366534 0.011553785 0.011952192 0.010756972 0.0139442235 0.010756972 0.008366534 0.009561753 0.012350597 0.011155378 0.009561753 0.009561753 0.009561753 0.010756972 0.009561753 0.008366534 0.009163347 0.011155378 0.011155378 0.01314741 0.012749004 0.009163347 0.0071713147 0.016733067 0.01314741 0.00876494 0.007569721 0.009561753 0.008366534 0.005976096 0.0139442235 0.011155378 0.006374502 0.011952192 0.012350597 0.009163347 0.00438247 0.009561753 0.00876494 0.008366534 0.009561753 0.008366534 0.008366534 0.009163347 0.007968128 0.01314741 0.00996016 0.010756972 0.009561753 0.011155378 0.0139442235 0.00996016 0.014342629 0.008366534 0.0071713147 0.011952192 0.012749004 0.0103585655 0.0071713147 0.010756972 0.009163347 0.011553785 0.0103585655 0.0067729084 0.012350597 0.015537849 0.010756972 0.01752988 0.009561753 0.006374502 0.00876494 0.012350597 0.0103585655 0.011155378 0.009561753 0.00996016 0.011952192 0.009163347 0.007968128 6.541832 0.0 0.0 0.0 2.0 88576.0 466944.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1086264800.0 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 90112.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7696759 0.0 0.0 0.0 0.0 -7.985769 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -90112.0 0.0 0.0 0.0 0.0 0.0 368640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 172.0 462848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.0761206 0.010746957 0.0071829213 0.007388011 0.011921455 0.0068860175 0.003757202 0.0035127632 0.012379331 0.0027973328 0.0029523429 0.002611321 0.009012038 0.0024229244 0.0026435154 0.014663938 0.006924174 0.0024741967 0.0023871528 0.0019853194 0.0047278027 0.004527482 0.002139137 0.0017671131 0.003673735 0.001711071 0.0017313416 0.0018791972 0.003275479 0.002158215 0.0020795178 0.0020544776 0.0038358993 0.0019316621 0.0017981151 0.0020675939 0.010896005 0.0023239565 0.001639528 0.0016514518 0.0029678438 0.0017611511 0.0015632154 0.002754407 0.002266722 0.0018517723 0.001511943 0.0015763317 0.0030226936 0.0017122634 0.0017766522 0.0062123206 0.0022345276 0.0018386561 0.0018374637 0.0016836462 0.0027412907 0.0033076731 0.0018303094 0.005048554 0.0024145776 0.0024944674 0.001953125 0.0017396882 0.0054515796 0.003157433 0.0028867617 0.0028497977 0.0060906974 0.011347919 0.004993704 0.003533034 0.0073391236 0.003176511 0.0022059104 0.0039921016 0.008610205 0.0061252764 0.002434848 0.002059247 0.008816487 0.0039444063 0.0026220523 0.004247272 0.0025982046 0.0052918 0.006007231 0.0049722414 0.003478184 0.004593063 0.001885159 0.0028116414 0.0025195074 0.005139175 0.0039980635 0.0031955892 0.001968626 0.0015584459 0.0017218025 0.0014570933 0.0021713313 0.0017051091 0.0062588234 0.001511943 0.0036153083 0.0015131353 0.007664644 0.0015584459 0.0017301491 0.0016884158 0.0014821333 0.0016013717 0.0025111607 0.001649067 0.0021987562 0.002034207 0.009111006 0.011307377 0.0023215716 0.00218564 0.0025051988 0.0020043976 0.0016001794 0.0018613114 0.0027866014 0.004229386 0.002936842 0.0026757098 0.0041256486 0.003238515 0.0017909608 0.013411935 0.0063267895 0.010560945 0.0019113915 0.002133175 0.0033327134 0.013119801 0.0023311106 0.036692042 0.00218564 0.011316917 0.0019567022 0.0018899286 0.0025600484 0.0015238668 0.0016347584 0.0014714019 0.0020043976 0.0018958906 0.0016061412 0.0013974741 0.0016514518 0.0015262516 0.0013760112 0.0014308608 0.0017873836 0.001686031 0.001717033 0.0017241873 0.002142714 0.0018565418 0.0015250591 0.0017838065 0.0019567022 0.0019519326 0.0014177446 0.0015334059 0.002089057 0.0016538366 0.0014547085 0.0017373034 0.0020222834 0.0016061412 0.0014690171 0.001546522 0.0023024934 0.0014618628 0.0015763317 0.0014761714 0.0018935058 0.0015691774 0.0024944674 0.003263555 0.0025278542 0.002133175 0.0018291171 0.0015536763 0.0018720429 0.0017551893 0.00187562 0.0017909608 0.00863286 0.0041649975 0.004014757 0.0036713504 0.0034889155 0.0015739469 0.0034149878 0.0077803056 0.003565228 0.003604577 0.0019340469 0.0022237962 0.0028641063 0.0013795883 0.003533034 0.0026447077 0.0024646576 0.0018529647 0.002291762 0.0017206101 0.002036592 0.0014380151 0.0018315018 0.0016979548 0.0030990061 0.0023704595 0.0016276041 0.0026792868 0.0025767419 0.00241577 0.0015393677 0.0017838065 0.0030632345 0.001978165 0.0018315018 0.0016204498 0.002788986 0.0026244372 0.0014535161 0.00151552 0.01764132 0.005892762 0.0016908005 0.006071619 0.0056984033 0.0016037564 0.001655029 0.0016681452 0.004504827 0.0026757098 0.0023668823 0.0020437462 0.0033923325 0.0018422332 0.004095839 0.003114507 0.008513622 0.0052369507 0.0032587855 0.0031121222 0.009205204 0.0030071924 0.004229386 0.044007316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015269235 1.7907625e-05 2.805528e-05 1.9698387e-05 0.00034860178 2.148915e-05 1.7310704e-05 2.2682992e-05 1.6116863e-05 2.5070676e-05 1.8504546e-05 2.0295309e-05 0.00027398666 2.089223e-05 2.2086071e-05 4.5365985e-05 0.004405873 0.00016475015 7.939047e-05 5.9095164e-05 0.0010428207 6.2676685e-05 6.327361e-05 6.327361e-05 6.506437e-05 6.2676685e-05 6.446745e-05 7.16305e-05 0.00084404607 7.700279e-05 6.446745e-05 0.00014445484 0.010527296 0.0012207031 0.00097477174 0.00023339604 0.0030120625 0.00020295309 0.00020474385 0.00018444854 0.00016833168 0.00017489781 0.00018265778 0.00018385162 0.002345302 0.00017847933 0.0001945962 0.0007939047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001139522 8.6553526e-05 0.00013371027 3.4621407e-05 0.00021966686 0.00012117493 7.043666e-05 7.640587e-05 0.00013788871 2.2086071e-05 2.4473755e-05 2.7458358e-05 0.00018803007 1.8504546e-05 6.446745e-05 7.9987396e-05 0.0084255375 0.0006989943 0.0009735779 0.0009538795 0.0019298451 0.00097536866 0.0004638075 0.0013299397 0.004568235 0.00037188167 0.00019698388 0.00076405867 0.0016576492 0.00047753667 0.001183694 0.0043688635 0.079001874 0.01248639 0.009421798 0.01167219 0.027102593 0.024783557 0.010391198 0.018231157 0.053920455 0.0038680471 0.0037862689 0.0060903835 0.019250697 0.0066950643 0.020916704 0.045682352 0.04901914 0.010412687 0.010229433 0.009800843 0.021722546 0.020193832 0.009032606 0.014567853 0.03763347 0.002970875 0.0036698694 0.004806407 0.0148800425 0.0065476247 0.01694718 0.03406926 0.022690155 0.020404546 0.020551387 0.019088335 0.020912524 0.019787926 0.018948058 0.019450666 0.019910295 0.019486481 0.019796282 0.019409478 0.019066846 0.01941903 0.019423207 0.019503195 2351.0 5.9315186 13945.0 0.013696666 0.008103263 0.007099319 0.009250628 0.031050555 0.009178917 0.0063105053 0.0062387954 0.010397992 0.01003944 0.0067407675 0.008461814 0.00996773 0.008676945 0.008103263 0.005378272 0.011186806 0.0065973466 0.006884188 0.007959843 0.008605235 0.005449982 0.006167085 0.0055216923 0.00968089 0.01986375 0.0067407675 0.022301901 0.009537469 0.008031553 0.0069558984 0.007171029 0.016206525 0.008820366 0.008533524 0.0077447114 0.017927572 0.0097525995 0.011617067 0.008605235 0.021656508 0.00996773 0.009250628 0.009394048 0.010684833 0.007171029 0.009465759 0.006453926 0.025242021 0.015202582 0.01233417 0.02000717 0.008390104 0.007242739 0.020795984 0.017138759 0.014413768 0.016708497 0.00968089 0.010971675 0.010182861 0.007242739 0.01003944 0.010111151 0.005593403 0.0067407675 0.006382216 0.005736823 0.0083183935 0.007099319 0.02466834 0.006453926 0.01226246 0.00738616 0.03212621 0.00745787 0.0077447114 0.007888132 0.006382216 0.006167085 0.0070276083 0.006167085 0.008605235 0.008892076 0.027393332 0.019576909 0.0067407675 0.005449982 0.0067407675 0.0060236645 0.005449982 0.0065256367 0.009394048 0.007673001 0.0069558984 0.006669057 6.4082327 0.0 0.0 0.0 7.0 838656.0 868352.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1541028600.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 581120.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581120.0 0.0 17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.978845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.985026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9850254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7261066 0.0 7.9812727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188686.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -580910.0 0.0 17352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 762956.0 17352.0 815104.0 0.0 0.0 0.0 0.0 28976.0 835584.0 28.0 601024.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 673904.0 0.0 0.0 2180.0 585728.0 0.0 0.0 0.0 0.0


Input: 0.03755225 0.0042016883 0.0037719083 0.0040638684 0.003869833 0.003882527 0.0038190573 0.004118271 0.0045806924 0.003744707 0.0033765833 0.0037972962 0.004100137 0.0036649166 0.0037592144 0.0040892563 0.003679424 0.003670357 0.0034708811 0.003657663 0.0037283862 0.0037501473 0.0035978202 0.003822684 0.0035669922 0.0034237322 0.0034309858 0.0038063633 0.0036322752 0.0037029984 0.0037809755 0.003909728 0.003679424 0.0033802101 0.0034037847 0.003644969 0.0035941934 0.00344912 0.0036721705 0.0036032605 0.003617768 0.003617768 0.003371143 0.0037428937 0.0035434177 0.003732013 0.003644969 0.0038861537 0.0035724323 0.0035524848 0.0034817616 0.0036594765 0.0036721705 0.00359238 0.0038317512 0.0037809755 0.0035307237 0.0037029984 0.0036848644 0.0038789 0.0036739837 0.003875273 0.003897034 0.003744707 0.00409107 0.0035542983 0.0034726944 0.0038118036 0.0034327994 0.004129152 0.004049361 0.003704812 0.0034019712 0.0034074115 0.0035379776 0.0036340887 0.0034382395 0.0041055772 0.0036975583 0.0037646547 0.004183554 0.0037846023 0.0035216569 0.003788229 0.0034726944 0.0036340887 0.0039768247 0.0037175058 0.0036123276 0.003757401 0.0037991097 0.0038607658 0.0036939315 0.0036631033 0.004187181 0.003882527 0.003610514 0.003761028 0.0033910908 0.0035688055 0.0034364262 0.003732013 0.0035452312 0.0037918559 0.004045734 0.0036304619 0.0038426316 0.0037283862 0.0036685436 0.0036830509 0.0036213947 0.0038335645 0.0035107762 0.0037283862 0.003670357 0.003822684 0.0043231873 0.0042941724 0.003882527 0.0037628412 0.0038625791 0.0037864158 0.0038027365 0.003732013 0.0039278623 0.0040820027 0.0039858916 0.00538041 0.004181741 0.0035452312 0.00344912 0.004223449 0.003713879 0.0038553255 0.003514403 0.0036322752 0.0035651787 0.0043920972 0.0035252837 0.005273418 0.0035869398 0.0040076524 0.0036068873 0.0038589523 0.0034853884 0.003766468 0.0034418663 0.0034164786 0.0035289105 0.0036431558 0.0035416044 0.0037410802 0.0036304619 0.0035198433 0.0035724323 0.003766468 0.0036903045 0.0036540362 0.0037175058 0.0037755352 0.0037954827 0.0037646547 0.0035416044 0.0037102522 0.0034473066 0.003623208 0.0033983444 0.0036304619 0.0035905666 0.003358449 0.0034781347 0.0035343505 0.003744707 0.003596007 0.003405598 0.0036848644 0.0034110383 0.0037283862 0.0035452312 0.003713879 0.0037991097 0.003561552 0.0036631033 0.0038027365 0.0035071494 0.0035524848 0.0034436798 0.0036866777 0.0036884912 0.0038208705 0.0037755352 0.0036939315 0.0039713844 0.003670357 0.0036558497 0.003835378 0.0038625791 0.003704812 0.003596007 0.003788229 0.0034980823 0.0036159544 0.0036522227 0.0036685436 0.0033874637 0.0036087008 0.0036395288 0.0039024744 0.004071122 0.0037864158 0.0036612898 0.0039187954 0.0037374534 0.0037084387 0.0036032605 0.0038317512 0.0038045498 0.003596007 0.0037102522 0.003848072 0.0035978202 0.0037410802 0.0038281244 0.0039296756 0.0037737219 0.003757401 0.003757401 0.0036776105 0.003583313 0.0037991097 0.0036504094 0.0036631033 0.004413858 0.003626835 0.0038408183 0.0039024744 0.0040022125 0.0037247594 0.0035633654 0.003848072 0.004045734 0.0036848644 0.0040820027 0.0039768247 0.0037084387 0.0037428937 0.0037809755 0.0039804513 0.004100137 0.003891594 0.0036848644 0.003882527 0.004212569 0.0043648956 0.0040765624 0.011293964 0.009310987 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017494472 1.0002037e-05 5.4556563e-06 8.183485e-06 6.3649327e-06 3.909887e-05 8.183485e-06 4.5463803e-06 5.4556563e-06 1.8185522e-06 1.8185522e-06 1.8185522e-06 5.4556563e-06 1.8185522e-06 1.8185522e-06 1.09113125e-05 0.0049555544 5.7284393e-05 4.4554527e-05 4.0008148e-05 4.0917424e-05 0.00016821608 6.81957e-05 5.7284393e-05 2.545973e-05 1.4548417e-05 9.092761e-06 2.4550454e-05 2.1822625e-05 1.0002037e-05 2.4550454e-05 2.4550454e-05 0.0032352041 4.7282356e-05 3.6371042e-05 3.6371042e-05 3.273394e-05 0.00012729866 3.6371042e-05 3.0915387e-05 3.0915387e-05 1.4548417e-05 1.636697e-05 1.4548417e-05 2.0004074e-05 1.4548417e-05 1.636697e-05 1.4548417e-05 0.002858764 9.092761e-06 5.819367e-05 2.0004074e-05 0.00011275023 6.910498e-05 0.00036280116 0.00019731291 5.4556563e-06 3.6371043e-06 3.6371043e-06 5.4556563e-06 1.8185522e-06 3.6371043e-06 4.5463803e-06 8.183485e-06 0.0013511842 2.0004074e-05 6.274005e-05 2.1822625e-05 3.455249e-05 6.7286426e-05 0.00014366562 0.00010547602 1.1820589e-05 5.4556563e-06 6.3649327e-06 6.3649327e-06 7.2742087e-06 5.4556563e-06 6.3649327e-06 6.3649327e-06 0.002381394 2.6369005e-05 2.7278282e-05 2.8187558e-05 0.000114568786 0.00013366358 0.00026369005 0.00022186336 0.00014184706 2.4550454e-05 2.2731901e-05 1.9094798e-05 1.636697e-05 3.8189595e-05 2.3641178e-05 0.00024095816 0.0035989147 8.183485e-05 2.4550454e-05 8.092557e-05 0.00015003055 0.00021367987 7.0014255e-05 0.00017276245 0.00023459323 5.6375116e-05 5.0010185e-05 5.7284393e-05 0.00010002037 7.637919e-05 0.00014639345 0.00047282357 0.0006310376 2.0004074e-05 2.0004074e-05 2.3641178e-05 2.2731901e-05 3.273394e-05 3.728032e-05 0.00013911923 0.00014366562 6.546788e-05 4.5463803e-05 4.910091e-05 0.00015003055 0.00015821404 0.00021458915 0.0019713105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018294634 0.0001027482 0.00010547602 0.00011184096 0.00013093576 0.0001445749 0.0001445749 0.0007719754 0.00026005297 0.00015003055 0.00015639549 0.00017003462 0.0002282283 0.00036371042 0.00058284594 0.0021959017 0.0006601344 0.000107294574 0.000120024444 0.00013002648 0.000114568786 0.00011184096 0.000114568786 0.0007683383 0.0002464138 9.9111094e-05 9.0927606e-05 0.000117296615 0.00015366766 0.00023368395 0.00045281948 0.0020658753 0.0038753345 0.00075560843 0.00059375726 0.0006728643 0.0018240078 0.0013775532 0.00050737604 0.0012684402 0.0025959832 0.00018276449 0.0001673068 0.0002318654 0.00088381633 0.00036371042 0.00089109055 0.0024304949 0.0017512657 0.00044827312 0.00039371653 0.00044554527 0.0008283505 0.0011666012 0.0003728032 0.0008374433 0.0013284524 0.00014184706 0.00016003259 0.00015912332 0.0006474046 0.0002664179 0.00056738826 0.0016585195 0.057019792 0.05700161 0.056150526 0.057585362 0.05587865 0.056951597 0.056740645 0.059000198 0.056994334 0.057235293 0.05668609 0.057632644 0.056928866 0.058950186 0.057753578 0.059553947 2487.0 5.968637 14844.0 0.0115198055 0.008825115 0.00869038 0.009902991 0.008825115 0.009970359 0.008555645 0.009161951 0.009835624 0.011250337 0.009296685 0.009566154 0.008825115 0.009566154 0.012260846 0.010711399 0.010307195 0.008757747 0.008151442 0.009027217 0.00869038 0.008286176 0.009027217 0.008488278 0.009161951 0.011317704 0.009970359 0.007881973 0.010441929 0.01017246 0.00869038 0.01017246 0.010374562 0.00943142 0.010509296 0.011250337 0.008488278 0.010239827 0.010846133 0.01017246 0.008757747 0.010307195 0.009566154 0.00943142 0.008420911 0.010037726 0.00970089 0.009970359 0.011452438 0.009161951 0.010374562 0.010711399 0.01017246 0.009902991 0.010711399 0.01017246 0.010441929 0.008623012 0.009835624 0.008892482 0.009296685 0.008892482 0.010576664 0.009161951 0.008623012 0.012058744 0.010980868 0.0115198055 0.010576664 0.016100781 0.008825115 0.011182969 0.011182969 0.013203988 0.008892482 0.010307195 0.013069253 0.010711399 0.0115198055 0.01340609 0.011654541 0.008892482 0.015696578 0.012058744 0.015763946 0.011789275 0.011317704 0.010778766 0.008892482 0.009633522 0.010037726 0.010441929 0.008555645 0.011048235 0.009296685 0.03078685 6.5506744 0.0 0.0 0.0 7.0 551445.0 45056.0 0.0 0.0 38.0 0.0 1.0 0.0 0.0 0.0 1256409500.0 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 16384.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2405257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.403837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4922743 0.0 5.6211095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1644.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15227.0 0.0 11048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 21228.0 11048.0 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 0.0 0.0 0.0 0.0 0.0 0.0 164.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.18055129 0.005206734 0.0035415387 0.0035175446 0.0036999001 0.0024378072 0.0018715449 0.00180916 0.004870815 0.0017443758 0.0016987869 0.001578816 0.0034215678 0.0016244049 0.0011493205 0.005209133 0.0036087225 0.0012956848 0.0015740172 0.0014228539 0.0018979384 0.0018427519 0.0012932855 0.0010101544 0.0050483723 0.0011589181 0.0010605421 0.0011421222 0.0013172796 0.0010101544 0.0009717637 0.0011277257 0.00337118 0.0009525683 0.0014900377 0.0010965334 0.002644157 0.0010677404 0.000789408 0.0008901835 0.0014540463 0.00083739636 0.0013724662 0.0048828125 0.0013196791 0.0011157286 0.0012476966 0.0011181281 0.002368224 0.0013532708 0.0009981572 0.0030808507 0.0012644925 0.0013340756 0.00095976656 0.0007918074 0.0014276528 0.0015332272 0.0017563729 0.0033687807 0.003232014 0.002459402 0.0019483261 0.0025337837 0.003313594 0.002245854 0.003663909 0.0048828125 0.002310638 0.004518101 0.0020922911 0.0011589181 0.0017947635 0.0019459268 0.0013052826 0.001019752 0.0019171338 0.0029584805 0.0019771191 0.0014084574 0.00468846 0.002361026 0.0016531979 0.0028553056 0.00180916 0.0025889704 0.0033855767 0.0024042153 0.0016747927 0.0038462647 0.0019771191 0.0026345593 0.0032224164 0.006048929 0.004662066 0.0041173985 0.003774282 0.003416769 0.0026225622 0.0034383638 0.0031624308 0.0041006026 0.0034551597 0.0022722473 0.0060777217 0.006212089 0.0045276987 0.0027209383 0.0038534629 0.0021810695 0.0033495855 0.0043525416 0.0036855037 0.0025313844 0.0047580427 0.003687903 0.008232398 0.0070206923 0.0022674485 0.0013580697 0.0020299063 0.002113886 0.0017563729 0.001665195 0.0018883408 0.002361026 0.002068297 0.0018499501 0.0028457078 0.0022050638 0.0022266584 0.0065552057 0.0034527604 0.006401643 0.0035463376 0.0030328624 0.0030472588 0.005564247 0.0028049177 0.016304035 0.002298641 0.005859375 0.0023802212 0.0024737983 0.0027905214 0.0018499501 0.0031504338 0.0029512823 0.0023538275 0.002500192 0.0033519848 0.005967349 0.0059025646 0.004978789 0.0037526872 0.0026777487 0.0015356265 0.0010845362 0.0013604691 0.001636402 0.0014348511 0.0015812154 0.0012884866 0.0014636441 0.0014396498 0.0016483992 0.0010797374 0.0008709882 0.0013916616 0.0010845362 0.0014348511 0.0011205275 0.0009765625 0.00094057125 0.00089498237 0.0008038045 0.0011301251 0.00090458 0.0010701397 0.0009837607 0.001250096 0.0010029561 0.0020658977 0.001336475 0.0015980114 0.0012668918 0.0017155828 0.0010821369 0.0009285742 0.000933373 0.001048545 0.00096456544 0.004390932 0.0018595478 0.0019147344 0.002857705 0.0018787431 0.0010437461 0.0030976466 0.003469556 0.0029872735 0.0030328624 0.003203221 0.0054514743 0.009556876 0.00464767 0.0043981303 0.0042541656 0.004971591 0.004878014 0.0064976197 0.0061089145 0.0038798563 0.0015116323 0.0016124079 0.0015716178 0.0019267314 0.0013628686 0.0014276528 0.005103559 0.013551904 0.0011181281 0.0011565187 0.00096936425 0.00230344 0.001209306 0.0013028831 0.001578816 0.0036975008 0.001163717 0.0010677404 0.0009813614 0.010598223 0.003215218 0.0029512823 0.002281845 0.0022026643 0.0007054284 0.0007918074 0.00093097356 0.0019507256 0.0011205275 0.0010893351 0.0009765625 0.0013988598 0.0006622389 0.002241055 0.0012285012 0.0027257372 0.0010869356 0.0011181281 0.001250096 0.002656154 0.0015380259 0.021995451 0.1426981 0.0048443275 2.4053263e-06 4.8106526e-06 9.621305e-06 0.0 0.0 0.0 1.2026632e-06 3.6079896e-06 0.0 0.0 0.0 2.4053263e-06 0.0 2.4053263e-06 5.5322507e-05 0.0023163294 1.2026632e-06 0.0 3.6079896e-06 0.0 0.0 0.0 1.2026632e-06 3.6079896e-06 0.0 0.0 0.0 2.4053263e-06 0.0 2.4053263e-06 0.00013229295 0.0043608565 0.00012026632 4.8106526e-06 6.0133157e-06 1.2026632e-06 1.2026632e-06 2.4053263e-06 2.4053263e-06 8.418642e-06 2.4053263e-06 0.0 0.0 6.0133157e-06 0.0 7.937577e-05 0.00033073238 0.007651343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009590036 0.0040577855 3.2471904e-05 0.00010703702 8.057843e-05 9.861838e-05 7.215979e-06 1.2026631e-05 9.380773e-05 1.3229295e-05 9.501039e-05 3.6079896e-06 8.779441e-05 8.538909e-05 2.4053263e-06 0.00010583436 4.3295873e-05 0.0048467326 0.00018400747 0.00010342903 8.659175e-05 2.5255928e-05 1.5634621e-05 8.057843e-05 1.3229295e-05 2.8863917e-05 1.2026631e-05 2.0445274e-05 0.0001503329 0.00016235953 1.2026631e-05 0.00012026632 0.0015273822 0.0036585014 0.00014672491 0.00014431958 5.0511855e-05 0.0003692176 9.380773e-05 0.0001924261 0.00012267164 2.28506e-05 9.621305e-06 2.5255928e-05 1.2026631e-05 9.621305e-06 1.6837284e-05 1.4431958e-05 3.728256e-05 0.016323747 0.0003884602 0.00066026207 0.00036681228 0.0012459591 0.00038124423 0.0022465747 0.001263999 0.0001503329 0.00022008736 0.00021527671 0.0003752309 0.0005087265 0.00011305034 0.00042574276 0.0022080897 0.009728342 0.00016717018 0.00051955046 0.00013830626 0.0012700123 0.00023331666 0.0018436826 0.0010595463 0.00011786099 0.00024053264 0.00012868496 9.019974e-05 0.00014071159 0.00013349562 9.861838e-05 0.0013313481 0.0060962997 0.0001046317 0.00052676647 0.00040289215 0.0011052474 0.0006313982 0.0032483933 0.0018076027 9.260506e-05 0.000228506 6.013316e-05 5.0511855e-05 7.215979e-05 5.5322507e-05 6.013316e-05 0.00023572198 0.016513769 0.0007721098 0.0011220848 0.00069032866 0.0015947314 0.0047805863 0.005433632 0.008012142 0.004945351 0.01004344 0.0009801704 0.0010030211 0.004995863 0.0107614305 0.0012122844 0.01827206 0.05020758 0.0035791255 0.00433079 0.003724648 0.0052796914 0.00834047 0.013206445 0.0075322795 0.013230498 0.013314684 0.005238801 0.004566512 0.013413303 0.022608865 0.006491976 0.071239755 0.01728227 0.0014131293 0.0013469828 0.0064330455 0.0033662543 0.008952625 0.010620719 0.006494381 0.008766212 0.011979728 0.0024558383 0.0019627463 0.012074739 0.01000255 0.0047252635 0.03251761 0.024522303 0.0038966287 0.0027204242 0.005549088 0.0069429744 0.009279749 0.004500366 0.007223195 0.0138811385 0.0036464748 0.0013878733 0.0025123635 0.007308584 0.004541256 0.0059038736 0.01933642 0.033216354 0.007576778 0.0059964787 0.007205155 0.011078933 0.011195592 0.0074709435 0.009685047 0.019609423 0.0030944524 0.0037150267 0.0034901286 0.011013989 0.0045208107 0.009419258 0.019199315 0.017212516 0.008431871 0.008078288 0.005719866 0.006198526 0.0061047184 0.01070731 0.005977236 0.010268338 0.0049537695 0.0052484223 0.0050102947 0.008368131 0.0049441485 0.008374143 0.010018184 879.0 11.469852 10082.0 0.03630232 0.0018845467 0.00357072 0.00238048 0.0054552667 0.0018845467 0.0021821067 0.005752827 0.0024796668 0.0022812935 0.004562587 0.007835747 0.0037690934 0.008133307 0.0067446935 0.0029756 0.0033723467 0.00178536 0.0034715335 0.0028764135 0.0018845467 0.0016861734 0.00238048 0.00119024 0.0020829202 0.0042650267 0.0031739734 0.0030747869 0.0039674668 0.0033723467 0.0027772267 0.00505852 0.015076374 0.012100774 0.0038682802 0.01011704 0.0065463204 0.0064471336 0.008530053 0.0067446935 0.0068438803 0.00803412 0.0021821067 0.0028764135 0.006347947 0.0054552667 0.0042650267 0.0036699069 0.018051974 0.0031739734 0.0054552667 0.017159294 0.006347947 0.0040666535 0.012993454 0.00862924 0.0022812935 0.0028764135 0.0021821067 0.0022812935 0.0033723467 0.0029756 0.0024796668 0.010712161 0.0058520134 0.044534814 0.009819481 0.030450307 0.023011308 0.075282685 0.009125174 0.01249752 0.018944655 0.04651855 0.009025987 0.00476096 0.030747868 0.014878 0.036699068 0.042749453 0.01428288 0.0024796668 0.04800635 0.040666535 0.055544537 0.01993652 0.00952192 0.0041658403 0.0065463204 0.01011704 0.0041658403 0.0019837334 0.0025788534 0.0020829202 0.0016861734 0.0025788534 5.754744 1.0 0.0 0.0 3.0 416768.0 483328.0 1.0 0.0 136.0 0.0 1.0 0.0 0.0 0.0 1353323000.0 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 10.0 0.0 5.0 1.0 5.0 1.0 136704.0 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 89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136704.0 0.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.688441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3933947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.848107 0.0 6.3246474 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136340.0 0.0 183928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 228884.0 183928.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 144048.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 223240.0 0.0 0.0 568.0 143360.0 0.0 0.0 0.0 0.0


Input: 0.29875794 0.026860906 0.031241104 0.0054645 0.028273363 0.009840251 0.03060456 0.0072229053 0.0059839166 0.005706169 0.039737098 0.005383449 0.002863463 0.0033833738 0.0028347988 0.002128076 0.0036210897 0.0046915524 0.002071736 0.0038958716 0.0021868872 0.0024587037 0.005518369 0.0042363834 0.0024043403 0.0047291126 0.001393183 0.0011099997 0.0012829738 0.00067657593 0.0007017807 0.004154344 0.010696226 0.0012380006 0.005992318 0.0010625554 0.0005520346 0.002862969 0.0031372565 0.0047844644 0.011610024 0.0008124842 0.0042205686 0.0022931427 0.003029024 0.00072649133 0.0013121323 0.001500427 0.0021448792 0.0028950926 0.0013195454 0.0014307431 0.0011272971 0.0013971367 0.0009889178 0.0012073594 0.0011752356 0.0016729069 0.0006928849 0.0006291316 0.00087080116 0.0010462464 0.0007531788 0.0010922081 0.0012503559 0.003415992 0.0016971233 0.0024760012 0.001138664 0.002450302 0.0017880583 0.0023420698 0.0030977195 0.0008742607 0.00058811205 0.001099127 0.0024448656 0.0025545808 0.0012582632 0.0016002578 0.0050859335 0.00077739515 0.0012147726 0.0027552308 0.00324796 0.0029282048 0.002195289 0.0010843007 0.001388241 0.002172555 0.0023727107 0.00091577444 0.00068893126 0.00069832127 0.0006281432 0.0036512366 0.00094048504 0.0059587117 0.0050814855 0.002270409 0.0023321854 0.012259912 0.0014599017 0.0032776126 0.0037624345 0.004704402 0.0019387929 0.0012552979 0.00498462 0.0016526442 0.0067025004 0.0465592 0.005806 0.00071463024 0.009494303 0.008879009 0.0081703095 0.0048497003 0.0008332411 0.0013269586 0.001365013 0.0016081652 0.0019946387 0.0046505327 0.0010541538 0.0026099326 0.008724321 0.0034451503 0.006387193 0.001138664 0.0015285971 0.0009014423 0.0013818162 0.0004699954 0.0008460906 0.00054709247 0.0012829738 0.0005372082 0.0007136418 0.00075910933 0.0005485751 0.001227622 0.0009933657 0.00055549404 0.0005811931 0.00067657593 0.00050014234 0.0007665225 0.0005485751 0.0006548306 0.00041167843 0.00050903816 0.0005831699 0.0006330853 0.0004408369 0.00037065885 0.00036571673 0.000511015 0.00041612634 0.0019358275 0.00070276915 0.0009162687 0.0016353468 0.0008292874 0.0015755472 0.00051348604 0.00068893126 0.00066323223 0.00074082345 0.00063061423 0.0034407026 0.0035474522 0.00036769357 0.00092417607 0.0010427869 0.0016234857 0.0005228761 0.0004981655 0.00039092152 0.0004892697 0.0016486906 0.00081693206 0.0015567672 0.0007596035 0.0016798258 0.0006217184 0.0006780586 0.0006251779 0.0004942118 0.0006286374 0.00061331684 0.0027903197 0.0037812144 0.0030947542 0.002371228 0.00069881545 0.0006123284 0.00081940315 0.0007289624 0.00037757782 0.00061578787 0.00038746203 0.0006914023 0.0017208455 0.00071314763 0.00031135342 0.0003815315 0.0004966828 0.000595031 0.0008584459 0.0010225242 0.0016842738 0.0014144342 0.00040723052 0.0012691359 0.00027033384 0.00030789393 0.00051299186 0.0007620746 0.00068398914 0.00087475486 0.0012093362 0.0014198705 0.0011426177 0.0010027557 0.0008792028 0.0003805431 0.00047740858 0.000655819 0.002545685 0.00069337914 0.00065087696 0.0006325911 0.00060936314 0.0011396523 0.00081199 0.0003983347 0.0004917407 0.0005268298 0.0012765491 0.00067657593 0.0005688378 0.00047592595 0.0006864602 0.0006780586 0.0006256721 0.0004358948 0.00046752437 0.0009686551 0.00032370872 0.000394381 0.0022071498 0.00053819665 0.0048917085 0.002975155 0.013055098 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00037974684 0.0 0.0 0.0 1.7306171e-06 2.4723101e-07 0.0 7.4169304e-07 7.4169304e-07 0.0 6.1560524e-05 6.1560524e-05 0.0 0.0 0.0 0.0 0.00835443 1.7306171e-06 0.00042202332 2.4723101e-07 0.00061956095 0.00042696795 0.0 9.913964e-05 9.864517e-05 0.0 0.00034488726 0.00034488726 2.4723101e-07 2.4723101e-07 0.00042622627 0.0 0.010875198 0.0001419106 0.00036689083 1.06309335e-05 0.00069471914 0.0003651602 9.518394e-05 0.00017924249 0.0002687401 9.64201e-06 0.0006037381 0.00059409614 3.4612342e-06 5.9582675e-05 0.00036293513 5.2412975e-05 0.034129746 0.0015001978 0.0027116297 0.0009528283 0.0016589201 0.0012848596 0.009999258 0.004081537 0.00077853043 0.00020075159 0.00034562894 0.00019358189 0.00019036788 0.0013496341 0.00029321597 0.00058247626 0.16243276 0.011275465 0.014469195 0.0057721026 0.009942396 0.0089866 0.04760186 0.024518147 0.0037364024 0.0014188588 0.0020406449 0.0015659613 0.0013422172 0.0033072094 0.0017850079 0.0030963211 0.16883233 0.019748567 0.016776355 0.007254994 0.009129252 0.00961605 0.034074616 0.023730963 0.006711333 0.0021096221 0.004396509 0.0052422862 0.0039915447 0.0038286194 0.0045285304 0.0050917226 0.06924471 0.007507664 0.010737738 0.0027079212 0.004230617 0.004535453 0.0074184136 0.0073296577 0.0030928599 0.0024970332 0.004303056 0.0028782634 0.0040526106 0.0020094938 0.0028950751 0.005318928 0.032871835 0.0031749406 0.006634444 0.0013872132 0.0028901305 0.0035287281 0.0030656646 0.0024868967 0.0021101166 0.0017278976 0.0038988332 0.0015716476 0.0037717563 0.0019652394 0.0014922865 0.0043843947 0.010432654 0.00093700556 0.0014183644 0.0011674248 0.00055429194 0.0017709157 0.0011802808 0.0016398833 0.0010158722 0.0010457872 0.0025657634 0.00092365505 0.0024854133 0.0010504846 0.0005095431 0.0067456984 0.0086703915 0.000852947 0.0022673556 0.0011859671 0.0003626879 0.001302413 0.0017044106 0.0014663271 0.002013202 0.0009001681 0.001291782 0.0014430875 0.001972409 0.00086951145 0.0008853343 0.00471074 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8034.0 18.331343 147274.0 0.0045832936 5.4320517e-05 0.015719 0.0012969024 0.00012901123 0.0001358013 1.3580129e-05 2.0370195e-05 0.0030962694 0.00014938142 1.3580129e-05 2.0370195e-05 0.0019759089 0.00039382375 0.0046511944 0.00016296156 0.008324619 0.025415212 0.008806714 0.010558551 0.0062536495 0.004719095 0.0029740483 0.004325271 0.0012086316 0.0011339408 0.00038703368 0.002199981 0.00024444234 0.0016296156 0.00023765226 0.0006586363 0.00050246477 0.02305227 0.013206676 0.005798715 0.006409821 0.021286853 0.003456143 0.0028993576 0.016920842 0.003252441 0.0017246765 0.005642544 0.020383775 0.016981952 0.0067629046 0.010415959 0.008582642 0.00035308336 0.0040944093 0.016275786 0.026732486 0.0029944186 0.0071974685 0.001894428 8.148078e-05 6.1110586e-05 0.009879544 0.00031234298 6.1110586e-05 6.7900646e-06 0.00012901123 0.03136331 1.3580129e-05 0.0431237 0.045493435 0.014279506 0.009906705 0.08389125 0.007469071 0.014394937 0.02409115 0.028715184 0.009200538 0.00735364 0.033875633 0.0077270935 0.03885275 0.030955905 0.006104268 0.0001154311 0.03784782 0.03447316 0.07479935 0.031614542 0.0045425533 0.0060024173 0.009506091 0.003965398 0.009064737 6.7900646e-06 0.002199981 6.7900646e-06 2.7160258e-05 0.00016975161 5.448474 1.0 1.0 0.0 1.0 2023424.0 2039808.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541868400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 4.0 0.0 2014208.0 512.0 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 -2014208.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -5.65473 0.0 6.1693397 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 -2013976.0 0.0 8180.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2022080.0 8180.0 2023424.0 0.0 0.0 0.0 0.0 12.0 2031616.0 28.0 2021768.0 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: 0.073209606 0.0042125094 0.0039862366 0.0038466377 0.004116631 0.0034892033 0.0036579492 0.0036380065 0.004322961 0.0036863291 0.0036080924 0.0034562212 0.0038949603 0.0036318703 0.0034270743 0.0038543078 0.0043965955 0.0036034903 0.003656415 0.0034669596 0.0036195978 0.003536759 0.0034508521 0.0034401137 0.0039371466 0.0034715617 0.00353906 0.0035735762 0.0034876694 0.0034078986 0.0035329238 0.0036341713 0.0042516277 0.003597354 0.0033894898 0.0036242 0.0038036841 0.003564372 0.0035168163 0.0034201709 0.0036686875 0.0034838342 0.003485368 0.003485368 0.0034761638 0.0033380992 0.0033848877 0.003449318 0.0037047379 0.0035536336 0.0033304289 0.003562071 0.003416336 0.0035789455 0.0035574688 0.0035835477 0.0034393466 0.0035022427 0.0034861353 0.0036395406 0.0034876694 0.003623433 0.0035237195 0.0037024366 0.00437742 0.003684795 0.0036288023 0.003533691 0.0037492253 0.0038190247 0.0034562212 0.0035306227 0.003713175 0.0035835477 0.003572042 0.0033664792 0.003368013 0.0035444293 0.0034999417 0.0035290888 0.0038727166 0.0035528666 0.003535992 0.0037047379 0.0034424148 0.0034961065 0.0035428952 0.003595053 0.0034715617 0.0032690668 0.0034255402 0.0033565077 0.0034055975 0.0034815331 0.003505311 0.0036648524 0.0035582357 0.0036334044 0.0035789455 0.0036686875 0.0035198843 0.0035751103 0.0034301423 0.0035459632 0.0036272681 0.0035835477 0.0037032038 0.0035597698 0.0038113545 0.0036027234 0.0035935189 0.0037392539 0.003509146 0.0035781784 0.0035145152 0.003713175 0.0038757846 0.003974731 0.0035582357 0.0036011892 0.0033833536 0.003651813 0.0037208453 0.0036625513 0.0036495118 0.0038727166 0.0036372393 0.0037331178 0.003999276 0.0035613037 0.003533691 0.0037630317 0.0037047379 0.003595053 0.0035145152 0.0034938054 0.0038512398 0.003651046 0.0034278412 0.0039271754 0.003600422 0.0035436621 0.003449318 0.0034646585 0.0036886302 0.0033856547 0.0035743432 0.0035582357 0.0035843146 0.0034178698 0.0033994613 0.0033726152 0.0034454828 0.0033488376 0.003419404 0.003422472 0.0034393466 0.0034976406 0.0034961065 0.0036295692 0.0034155687 0.0036188308 0.0034370455 0.0034355114 0.003398694 0.0034140348 0.0033841208 0.0034723287 0.0034086655 0.0033526726 0.003475397 0.0034846012 0.0034017623 0.0035014758 0.0034385796 0.0036763577 0.0033473035 0.0035421283 0.0034201709 0.0034984075 0.0033611099 0.0035781784 0.003533691 0.00356744 0.003339633 0.0035820135 0.0033856547 0.0035275547 0.003506078 0.003684028 0.0038167236 0.0036548811 0.0037469242 0.0035405941 0.0034508521 0.003512981 0.0035712752 0.0034554543 0.0036096266 0.0036456767 0.0034592892 0.00350301 0.0034968737 0.003391791 0.0034707948 0.0035628378 0.003566673 0.0036111604 0.0034132677 0.0035152822 0.0034930385 0.0035582357 0.0034078986 0.0035145152 0.0036050244 0.0035597698 0.0034531532 0.003511447 0.003537526 0.0036625513 0.0034324434 0.0037338848 0.0036679206 0.0037331178 0.0034017623 0.0034585223 0.0034485508 0.0036295692 0.003565906 0.0034922715 0.0034730958 0.003707039 0.0037837415 0.0036387735 0.0034915044 0.0037768383 0.0034999417 0.0035160494 0.0037308168 0.0040176846 0.0035613037 0.003596587 0.0035206515 0.0036748238 0.0036326372 0.0036042572 0.0037944799 0.003824394 0.0036732897 0.0036694545 0.0036702217 0.0038619782 0.0038535409 0.0037461573 0.003798315 0.015998637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007285832 7.677378e-07 7.677378e-07 0.0 1.9193446e-06 7.677378e-07 3.838689e-07 0.0 1.5354756e-06 7.677378e-07 1.1516067e-06 0.0 7.677378e-07 7.677378e-07 7.677378e-07 4.7215875e-05 0.025045143 2.6486954e-05 2.2648266e-05 2.5335348e-05 2.3799872e-05 1.4970888e-05 3.45482e-05 4.990296e-06 3.45482e-05 9.212854e-06 1.765797e-05 2.1496659e-05 2.3032135e-05 3.45482e-05 4.4912664e-05 0.0037047188 0.030928701 6.79448e-05 7.600604e-05 6.180289e-05 3.224499e-05 5.220617e-05 5.0286828e-05 4.3761054e-05 6.372224e-05 4.2993317e-05 2.0345053e-05 9.328014e-05 8.138021e-05 4.7215875e-05 5.9115813e-05 0.0068010055 0.005001428 3.186112e-05 1.5738626e-05 2.2264396e-05 1.6890232e-05 2.456761e-05 2.6103085e-05 1.9193445e-05 3.147725e-05 3.877076e-05 1.6890232e-05 7.677379e-06 2.802243e-05 3.9922368e-05 4.4912664e-05 0.0009235886 0.0011861549 1.42031495e-05 7.677379e-06 1.3819281e-05 8.445116e-06 9.5967225e-06 1.3819281e-05 1.2283805e-05 2.5719217e-05 5.7580337e-06 4.222558e-06 1.9193446e-06 1.6122494e-05 5.7580337e-06 1.0748329e-05 0.00023607937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001080591 2.6870823e-05 7.370283e-05 4.56804e-05 0.00029634679 0.00014740566 0.00085026963 0.00042033647 2.3032135e-05 2.7638562e-05 2.3032135e-05 1.8425708e-05 2.6103085e-05 2.3799872e-05 2.0345053e-05 4.1073974e-05 0.0006594868 2.6103085e-05 2.6103085e-05 3.0325644e-05 9.097693e-05 5.220617e-05 0.00021304724 0.00030056934 4.875135e-05 1.5354757e-05 1.4587018e-05 1.765797e-05 2.2648266e-05 1.6890232e-05 1.804184e-05 1.9577314e-05 0.00068558985 3.9154627e-05 8.214795e-05 4.222558e-05 8.8289846e-05 6.141903e-05 0.00017657969 0.00013512185 6.6409324e-05 1.9961184e-05 2.1880527e-05 1.765797e-05 3.9922368e-05 1.9961184e-05 2.495148e-05 5.1054565e-05 0.0003715851 3.147725e-05 2.2264396e-05 2.6486954e-05 3.1093383e-05 2.5719217e-05 3.147725e-05 3.1093383e-05 2.7254693e-05 2.6486954e-05 2.495148e-05 2.0728921e-05 2.1496659e-05 2.5335348e-05 2.5719217e-05 4.2993317e-05 0.002122795 0.0003854044 0.00022916973 0.00035200777 0.0005174553 0.00052513264 0.00029634679 0.00071246066 0.00068942853 6.6409324e-05 9.2512404e-05 9.13608e-05 0.00029212423 0.00014817339 0.0004702394 0.00087061466 0.0024863188 0.0005976839 0.00044643955 0.0005493164 0.00080075057 0.0008306923 0.00049096835 0.0011335649 0.0010525686 0.00029941773 0.00028866943 0.0004840587 0.0005520035 0.0005140005 0.00080689247 0.0012452707 0.059511196 0.056519706 0.055950046 0.055534698 0.056063287 0.054598443 0.05554775 0.055834886 0.056040253 0.055141617 0.054808803 0.055583067 0.055507828 0.05593968 0.05612125 0.057523906 5495.0 5.976706 32842.0 0.014432739 0.00925644 0.009956763 0.009560928 0.009652275 0.010169905 0.010474392 0.008434322 0.00977407 0.0087997075 0.009956763 0.009530479 0.008525669 0.0076731015 0.009347786 0.008586566 0.009073747 0.008951952 0.00873881 0.009469582 0.009073747 0.009926314 0.008921503 0.009286889 0.009469582 0.009073747 0.010048109 0.010048109 0.009012849 0.009225992 0.00977407 0.009469582 0.00925644 0.01364107 0.010474392 0.011022471 0.011418306 0.010687535 0.010748432 0.009682723 0.011144266 0.010352598 0.009804519 0.009347786 0.009834968 0.009926314 0.010048109 0.010261251 0.010717983 0.011448755 0.010657085 0.011540101 0.010169905 0.010139456 0.010109006 0.011144266 0.009865416 0.0089824 0.009865416 0.008891054 0.010109006 0.009012849 0.008647463 0.010200353 0.008921503 0.014676329 0.010169905 0.011875038 0.011509652 0.019609038 0.009104196 0.010261251 0.010931125 0.014189148 0.009165093 0.009682723 0.014524085 0.011083369 0.012971195 0.014980817 0.010657085 0.009165093 0.01464588 0.014493636 0.016381463 0.010596188 0.009956763 0.010443944 0.010048109 0.010626636 0.00950003 0.009317338 0.009347786 0.009378235 0.009713172 0.009225992 6.5635605 1.0 0.0 0.0 12.0 1303736.0 3952640.0 0.0 0.0 152.0 0.0 1.0 0.0 0.0 0.0 1175353700.0 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 23040.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 0.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.248618 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.998039 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.504699 0.0 1.6025829 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3775508.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22938.0 0.0 106152.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 29500.0 106152.0 3846144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 640.0 28672.0 0.0 0.0 0.0 0.0