Input: 0.16629055 0.023042293 0.01711705 0.012171233 0.016260767 0.004338687 0.018926984 0.0039262967 0.005031731 0.0024800678 0.0065151895 0.00359123 0.0041153086 0.0023082385 0.0039950283 0.00272922 0.0041038534 0.006243127 0.003972118 0.004272819 0.002998419 0.0026805352 0.004842719 0.0045448816 0.0053438875 0.0024399743 0.0043157763 0.003319167 0.0047568046 0.0029726448 0.0021421371 0.008912207 0.008580004 0.0026719437 0.0024170638 0.0021364095 0.006034068 0.0048226723 0.0028523644 0.0029611895 0.013551595 0.0020218566 0.0030041467 0.0071423664 0.0033077118 0.0031473378 0.0022910556 0.0020905884 0.015037917 0.0056474525 0.0056990013 0.005862239 0.013686194 0.0056760907 0.0074201566 0.012967375 0.0074831606 0.0022566898 0.0020333119 0.0014175908 0.0030499678 0.0022738727 0.002334013 0.002222324 0.0042670914 0.0031845674 0.0118991705 0.0040981257 0.0048856763 0.0022194602 0.0031530655 0.0024027447 0.0024628849 0.0048398552 0.0045448816 0.004109581 0.005684682 0.0110085225 0.0036742806 0.003937752 0.0037687866 0.0021879582 0.0026719437 0.0028724112 0.0032819372 0.00215932 0.0015579179 0.0017497938 0.006970537 0.0032103418 0.011097301 0.00400362 0.004862766 0.0026633523 0.003760195 0.002700582 0.0037172379 0.0025831654 0.005149148 0.0024972507 0.010765098 0.0071223197 0.004398827 0.0036026852 0.0026719437 0.004871357 0.0033134394 0.0020533586 0.002477204 0.0029325513 0.0036599615 0.0050546415 0.0027693135 0.0023082385 0.0047739875 0.0033936263 0.0037115102 0.0030871977 0.0022108688 0.0022137326 0.012128276 0.0035625917 0.004705256 0.004364461 0.003304848 0.0024142 0.013013196 0.0021707753 0.0020648139 0.0018815295 0.0013202209 0.0013975439 0.0014462289 0.0010911153 0.0014433651 0.0018213893 0.001303038 0.0009765625 0.0017641129 0.0017068365 0.0014061355 0.0018328446 0.0016867898 0.001380361 0.0014548204 0.0014576842 0.0018500275 0.0016867898 0.0017240194 0.0017097003 0.0019874908 0.0019932184 0.0013631781 0.001460548 0.0022280517 0.002208005 0.001523552 0.001429046 0.0012113957 0.0011970766 0.0014261822 0.0011082982 0.0037659227 0.0011512554 0.0014777309 0.0021049075 0.0012715359 0.0014261822 0.0014433651 0.0013603143 0.0015751008 0.0012772635 0.001572237 0.0022767365 0.0017125641 0.0014777309 0.0018070702 0.0014261822 0.0025029783 0.0013431314 0.001872938 0.0018700742 0.0015665094 0.0014634118 0.0013918163 0.0012257148 0.0013087656 0.0015865561 0.0014720033 0.0022108688 0.0011684385 0.0013230847 0.0015321436 0.0011483916 0.0016867898 0.0011483916 0.000999473 0.00083337154 0.001191349 0.00089064793 0.0017268832 0.0015149605 0.0013116294 0.001683926 0.0010911153 0.001222851 0.0010137921 0.0019445335 0.0011856214 0.0007732313 0.0011713023 0.0008018695 0.000904967 0.00089351175 0.00077609514 0.0010424304 0.0015149605 0.00088492024 0.0013717696 0.001523552 0.0009937454 0.0013459952 0.0018185255 0.0016008752 0.0013918163 0.0008820564 0.0011082982 0.0008247801 0.001414727 0.0008591459 0.0009221499 0.0009021032 0.0010739324 0.0010767962 0.001048158 0.00096797105 0.0009164223 0.0008247801 0.0010424304 0.0056760907 0.0009307414 0.00077895896 0.00083623535 0.0007818228 0.0011741661 0.0011082982 0.0011798937 0.001048158 0.0022108688 0.0013316761 0.0009937454 0.0010997067 0.0013374038 0.0013173571 0.0022566898 0.020470582 0.011735983 0.0 1.4361214e-06 0.0 0.0 0.0 1.4361214e-06 0.0 8.616728e-06 7.1806066e-06 8.616728e-06 0.0 0.0 0.0 1.4361214e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005078125 1.5797335e-05 7.1806066e-06 1.4361213e-05 1.4361214e-06 1.4361214e-06 2.8722427e-06 2.2977942e-05 7.7550554e-05 7.180607e-05 7.036995e-05 3.5903035e-05 3.0158548e-05 1.4361213e-05 1.2925092e-05 0.00042509192 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042796414 3.159467e-05 7.1806066e-06 2.2977942e-05 1.4361213e-05 0.00011776195 4.164752e-05 0.000112017464 0.00015222887 9.0475645e-05 4.02114e-05 4.308364e-06 2.01057e-05 5.7444854e-06 1.8669578e-05 0.000923426 0.0021685432 4.308364e-06 5.7444854e-06 4.308364e-06 1.4361214e-06 2.8722427e-06 1.4361214e-06 2.01057e-05 8.473116e-05 0.00014361214 0.0001479205 9.478401e-05 6.6061584e-05 4.308364e-05 8.616728e-06 0.00014361214 0.0060561234 8.616728e-06 5.7444854e-06 5.7444854e-06 1.7233457e-05 0.0002024931 0.000100528494 0.0001278148 0.0003834444 0.00038488052 0.00036333868 0.00033892464 0.00019818475 0.00012350644 6.6061584e-05 0.00044088924 0.007038431 0.0001608456 0.00016659008 0.0004236558 0.00030445773 0.00044806986 0.00049402576 0.0002829159 0.0003834444 0.00044950598 0.00044950598 0.00023121553 0.00024414062 0.0001077091 4.5955883e-05 0.00053423713 0.011817843 0.00023408777 0.00025993795 0.0003231273 0.00035903032 0.00054141774 0.0017980239 0.0007151884 0.0010095933 0.0015366498 0.001538086 0.00078699447 0.00055577897 0.00017089843 0.000113453585 0.0017693015 0.015217141 0.00028578815 0.00031163832 0.0012609145 0.00092055375 0.0008013557 0.0017420151 0.0019315832 0.0015826056 0.002319336 0.0024112477 0.0022331686 0.00060891546 0.00021254596 0.00013786765 0.0033174402 0.02343032 0.0019114775 0.0026438993 0.0046903724 0.004329906 0.004197783 0.0071447035 0.0061580883 0.0022690718 0.0037942326 0.0031350527 0.003113511 0.0009061926 0.00039780562 0.00057588465 0.004831112 0.038182158 0.011239085 0.0072050206 0.009764189 0.0074491613 0.006285903 0.008250517 0.006732537 0.0022231159 0.001716165 0.0016457951 0.0027128332 0.0022331686 0.0015883502 0.0017764821 0.0027602252 0.15089327 0.04444221 0.04925609 0.06836225 0.053341854 0.038259707 0.039026596 0.045006607 0.00909352 0.009117934 0.009653607 0.008968578 0.00915671 0.00930463 0.011079676 0.015625 0.009071979 0.0030101102 0.0031939337 0.0043227253 0.0033203126 0.0026525161 0.0023710362 0.0026711856 0.0011402803 0.0008903952 0.0007611443 0.0008358226 0.0009076287 0.0007309858 0.00085018383 0.0015050551 0.006665039 0.0066434974 0.006107824 0.006133674 0.006509938 0.006169577 0.006025965 0.0064797793 0.006165269 0.0060274014 0.0062744142 0.006247128 0.0060676127 0.00594267 0.006297392 0.0062428196 2671.0 7.219768 19284.0 0.018357188 0.0066376273 0.0053412155 0.007156192 0.009489733 0.010008297 0.006845053 0.010371292 0.010526862 0.005756067 0.010630575 0.036506947 0.015401369 0.011097283 0.012549263 0.006067206 0.015608795 0.0079858955 0.0065339142 0.009023025 0.016179215 0.00938602 0.012030699 0.0129641155 0.0066376273 0.007052479 0.0028002488 0.005185646 0.0049782204 0.0057042106 0.004459656 0.009800871 0.00938602 0.0071043354 0.014156814 0.01363825 0.012030699 0.008193321 0.0075710434 0.0065339142 0.0058079236 0.0075710434 0.012289981 0.0053412155 0.007726613 0.0129641155 0.0060153496 0.0053412155 0.007726613 0.008400747 0.012238125 0.014467953 0.0131715415 0.011045426 0.005393072 0.0046670814 0.020120308 0.007778469 0.011978842 0.010423149 0.0062746317 0.0059116366 0.007519187 0.009074881 0.0046670814 0.014986517 0.008245178 0.014156814 0.019186892 0.036143955 0.008245178 0.01011201 0.007311761 0.019964738 0.0028002488 0.004926364 0.01260112 0.010941713 0.01877204 0.020638872 0.008141465 0.0052375025 0.019186892 0.017838623 0.03241029 0.010008297 0.0049782204 0.0039410912 0.0129641155 0.009334163 0.005756067 0.0070006223 0.004044804 0.007311761 0.018409044 0.0028002488 6.371171 0.0 0.0 0.0 4.0 349184.0 368640.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1513959600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 11.0 0.0 4.0 0.0 4.0 0.0 309248.0 512.0 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 -309248.0 0.0 38912.0 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 -7.0683937 0.0 3.8581197 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 -309140.0 0.0 38904.0 0.0 0.0 0.0 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 75.0 317248.0 38904.0 319488.0 0.0 0.0 0.0 0.0 12.0 360448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.28646967 0.010661828 0.006117159 0.0061862795 0.007205806 0.0038707447 0.0025574563 0.0025401763 0.0102643855 0.002160014 0.0022809745 0.0021081734 0.0066528427 0.002350095 0.0018144116 0.007672369 0.011733195 0.0019008121 0.0010713668 0.0009676862 0.0043545878 0.00781061 0.00067392434 0.00036288233 0.002816658 0.0007430448 0.00070848456 0.0010540867 0.002160014 0.00091584586 0.0007603249 0.0011232072 0.00777605 0.0007430448 0.0014860895 0.00091584586 0.008259892 0.00155521 0.00062208396 0.00062208396 0.0016416105 0.0006566442 0.0008121652 0.0020908935 0.0010713668 0.0011750475 0.0019353724 0.00086400553 0.0025920165 0.0012441679 0.0010540867 0.005598756 0.0020736132 0.0031277 0.0011404873 0.00063936407 0.002039053 0.0037325039 0.0013824089 0.0053222743 0.0017798514 0.0027475376 0.0028512182 0.0008467254 0.016381545 0.0025401763 0.0029030587 0.0072230864 0.005477795 0.011059271 0.0038189045 0.0018489718 0.0017452912 0.0017971315 0.00058752374 0.00046656298 0.0020563332 0.003939865 0.0029376189 0.0026611371 0.011249352 0.002039053 0.0015897702 0.007655089 0.0026265767 0.003939865 0.006739243 0.008380854 0.00089856575 0.0013651288 0.00039744255 0.0013132883 0.0016070503 0.002350095 0.0024019354 0.0017625713 0.00070848456 0.005460515 0.0012268878 0.0032313806 0.004527389 0.012337999 0.0045965095 0.0021254537 0.007620529 0.0069293245 0.00777605 0.0007430448 0.0066701225 0.002505616 0.006376361 0.0068256436 0.0027648178 0.00031104198 0.0070675653 0.0058061173 0.017884914 0.015102817 0.0020736132 0.0032313806 0.0017452912 0.0016761707 0.0005356834 0.00025920165 0.0016243304 0.0038189045 0.0013651288 0.0012096077 0.005978918 0.0041990667 0.002643857 0.009313979 0.0030931397 0.0071021253 0.0010886469 0.0005011232 0.0026092967 0.009711422 0.0014169691 0.021254536 0.0012787281 0.0058752378 0.0014688094 0.0009504061 0.0015379299 0.000777605 0.00072576466 0.00058752374 0.00089856575 0.00031104198 0.00038016244 0.00024192155 0.00093312596 0.0007603249 0.00015552099 0.00088128564 0.00062208396 0.00017280111 0.00041472266 0.00019008122 0.0013478487 0.0014688094 0.00057024363 0.0014688094 0.00155521 0.00062208396 0.00025920165 8.6400556e-05 0.0010195265 0.00012096077 0.00015552099 0.00025920165 0.0006566442 0.00034560222 0.00019008122 0.00044928287 0.0008121652 0.00039744255 0.00062208396 0.00012096077 0.0012096077 0.00025920165 0.0008467254 0.0007948851 0.0015033697 0.00036288233 0.00024192155 0.00029376187 0.00060480385 0.00046656298 0.0012096077 0.00062208396 0.008225333 0.002522896 0.0030758597 0.0023155347 0.0014688094 0.00029376187 0.0013651288 0.003283221 0.0026956974 0.0016070503 0.0008294453 0.0007603249 0.0016761707 0.00067392434 0.00089856575 0.0005529635 0.0016070503 0.0008294453 0.0016761707 0.001399689 0.0013132883 0.00031104198 0.0022291343 0.001105927 0.0021772939 0.0004838431 0.0005529635 0.0010195265 0.00091584586 0.00039744255 0.00038016244 0.0005011232 0.002194574 0.0005184033 0.00057024363 0.00034560222 0.0010540867 0.00019008122 0.00031104198 0.00027648176 0.013979609 0.0029203387 0.0004838431 0.00471747 0.0028857784 0.00031104198 0.0005184033 0.00034560222 0.0035251426 0.00089856575 0.00058752374 0.00060480385 0.0019526525 0.00027648176 0.0021254537 0.0019008121 0.005477795 0.0014342492 0.00086400553 0.0014515293 0.0033696215 0.0011404873 0.0018662519 0.04237083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01735618 9.765625e-05 2.6633523e-05 4.4389206e-05 0.0 2.6633523e-05 8.877841e-06 3.5511363e-05 5.3267046e-05 4.4389206e-05 1.7755681e-05 0.0 0.0 5.3267046e-05 0.0 0.00041725853 0.016663708 4.4389206e-05 2.6633523e-05 0.0 2.6633523e-05 8.877841e-06 6.2144885e-05 4.4389206e-05 1.7755681e-05 8.877841e-06 1.7755681e-05 1.7755681e-05 1.7755681e-05 0.00010653409 3.5511363e-05 0.0010830966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014524148 0.0001953125 0.00016867898 0.00010653409 0.0001953125 0.0003018466 0.001278409 0.0006747159 0.00012428977 0.00010653409 1.7755681e-05 1.7755681e-05 0.0 5.3267046e-05 0.0 0.00041725853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011088423 9.765625e-05 0.0007723722 0.0001953125 0.0004350142 0.00041725853 0.0031693892 0.0016601563 0.00021306818 0.00010653409 8.877841e-06 1.7755681e-05 0.0 0.0 0.0 0.0 0.062721945 0.0010209517 0.0038352273 0.0027610085 0.0046697445 0.002450284 0.014275569 0.008939986 0.0027166193 0.00032848012 0.0003728693 0.000390625 0.000612571 0.0006036932 0.0005415483 0.002849787 0.030495383 0.00053267047 0.0012428977 0.00076349435 0.0050870026 0.0038441052 0.015287642 0.008771307 0.0030273437 0.0010653409 0.00051491475 0.00026633524 0.00034623579 0.00026633524 0.00031960226 0.00089666195 0.023872513 0.0006036932 0.0027521306 0.002512429 0.0041459515 0.0033913353 0.019682173 0.009969816 0.002077415 0.0013139205 0.00024857954 0.00025745737 0.0004971591 0.00029296876 0.00029296876 0.00081676134 0.031196732 0.0025923296 0.0032492897 0.0042258524 0.0045010652 0.0031871449 0.0051757814 0.0040926845 0.0047230115 0.00034623579 0.00047052556 0.0007102273 0.0022372159 0.0013139205 0.0014825994 0.0032226562 0.007013494 0.00033735795 0.00047052556 0.00062144885 0.0011985085 0.0009144176 0.0006747159 0.00075461646 0.0025390624 0.0008700284 0.00011541193 0.00020419034 0.00048828125 0.00047940342 0.00051491475 0.0009854403 0.051953126 0.009596946 0.004616477 0.0075816764 0.016876776 0.012420099 0.0070845173 0.0109019885 0.024112215 0.0020862927 0.0025656961 0.002787642 0.010591264 0.0050426135 0.011425781 0.02035689 0.085910864 0.024724787 0.015420809 0.016521662 0.031631745 0.030388849 0.014417614 0.02199929 0.040687144 0.0033735796 0.006258878 0.005655185 0.018057529 0.008762429 0.017533736 0.040474076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 411.0 14.627737 6012.0 0.021789754 0.000998004 0.008150366 0.000499002 0.007152362 0.002994012 0.0 0.00083167 0.002661344 0.002328676 0.00083167 0.000665336 0.00166334 0.005322688 0.008649368 0.004657352 0.00665336 0.00499002 0.00499002 0.0083167 0.006154358 0.004657352 0.002994012 0.00249501 0.003493014 0.005988024 0.00415835 0.001497006 0.006487026 0.0056553558 0.0074850298 0.00166334 0.00083167 0.009481038 0.00415835 0.013639388 0.013473053 0.010645376 0.010645376 0.009481038 0.00415835 0.009813705 0.00083167 0.002328676 0.007152362 0.00665336 0.00499002 0.00582169 0.01247505 0.002328676 0.007984032 0.018795742 0.0083167 0.003493014 0.0056553558 0.026447106 0.00083167 0.001164338 0.00083167 0.001497006 0.001330672 0.001164338 0.000998004 0.00166334 0.000998004 0.037924152 0.008982036 0.023453094 0.028443113 0.09514305 0.008483034 0.01413839 0.009647372 0.045575514 0.003493014 0.004324684 0.041250832 0.016300732 0.04291417 0.046074517 0.013639388 0.00166334 0.04075183 0.037258815 0.061709914 0.018795742 0.005988024 0.01247505 0.007984032 0.011144378 0.001330672 0.000665336 0.00083167 0.001164338 0.000998004 0.000499002 5.6131463 0.0 0.0 0.0 2.0 57870.0 339968.0 0.0 0.0 166.0 0.0 1.0 0.0 0.0 0.0 1459714700.0 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 -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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 25600.0 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 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2486377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0395513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.503809 0.0 4.7534037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25467.0 0.0 2872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34320.0 2872.0 335872.0 0.0 0.0 4104.0 111272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.016287044 0.004198825 0.0041830298 0.004027273 0.003955493 0.0040366706 0.0038791145 0.004053266 0.0039332993 0.0039510946 0.003902708 0.0038459238 0.0039902837 0.003849323 0.003852722 0.0039432966 0.004836047 0.003770545 0.0038785147 0.0038757157 0.003817332 0.0039191036 0.003827929 0.0038197313 0.0038471236 0.0038059352 0.0038815138 0.0038001367 0.0038269293 0.0038147327 0.0038137329 0.0038149327 0.004071661 0.0037621474 0.0038331274 0.003816732 0.0038503227 0.003827529 0.0038339272 0.0038715168 0.0038643188 0.003856121 0.0038605197 0.0038431247 0.0038255297 0.0038307281 0.003820731 0.00378874 0.003837926 0.0038165322 0.0037679458 0.0038269293 0.0037927388 0.0038013363 0.0037615476 0.0037801424 0.0038237302 0.00385992 0.0038111336 0.0038045356 0.0038465238 0.0038411252 0.0037967376 0.003798937 0.004229217 0.0040332717 0.0038007365 0.003838326 0.0038413252 0.0039660903 0.003809934 0.0037895397 0.0038373263 0.0038239302 0.003802136 0.0037713447 0.003813333 0.0038287288 0.0038103338 0.00378914 0.0039654905 0.0038309281 0.0037579485 0.0038893118 0.0038821138 0.0039686896 0.003914905 0.0038661181 0.0038309281 0.0038387259 0.0038335274 0.0038461238 0.00375195 0.0038289286 0.0038365265 0.0038031358 0.0037961379 0.003888712 0.0037763433 0.0038087342 0.0039239023 0.0039087064 0.0038767152 0.0038255297 0.003912105 0.003920303 0.0038185315 0.0038489231 0.0039007086 0.0038353268 0.0038647186 0.0038727163 0.0038487231 0.0038011365 0.0039325 0.003941697 0.0040446683 0.0039472957 0.0038595202 0.0038827136 0.0038033358 0.0037939386 0.0038229304 0.0037779429 0.0038227304 0.003834927 0.0038075347 0.0037945383 0.0045337314 0.0038071347 0.0037957379 0.0039311 0.0038365265 0.003903308 0.0037911392 0.0037763433 0.0038003367 0.0040228744 0.0037655465 0.00436018 0.0038031358 0.0039714887 0.0038153324 0.0038081345 0.0040262733 0.0038913111 0.0038657184 0.0037869404 0.003852522 0.0037851408 0.0037837413 0.0038011365 0.0037831415 0.0038483231 0.0037907395 0.0037631472 0.0037631472 0.003806335 0.0037719447 0.0037909392 0.0037725444 0.0038481234 0.0037789426 0.003770945 0.003770545 0.0037335553 0.0037851408 0.0037501508 0.0037351549 0.003813133 0.0037781429 0.0038033358 0.0037855408 0.0037935385 0.0037591483 0.0037409533 0.0037971376 0.003781742 0.0037753438 0.00378894 0.0038045356 0.0037303562 0.003720559 0.0037613476 0.003802136 0.0038113336 0.0038433247 0.0037981372 0.0037873404 0.0038183315 0.003745752 0.0038431247 0.0039408975 0.0037805422 0.003837926 0.0038919111 0.0038251297 0.0038083345 0.003845124 0.0038415252 0.0037853408 0.0038079345 0.0038017363 0.0038393259 0.003746152 0.0037801424 0.0037723444 0.0038261295 0.0038057351 0.0037747438 0.0038799143 0.0038189315 0.0038397256 0.0037649465 0.0037977374 0.0038429247 0.0038653184 0.0038659184 0.0037703451 0.0038249297 0.0038259295 0.0037865406 0.0037829415 0.0038077347 0.0038041356 0.0037825417 0.003792339 0.0038107338 0.0037527499 0.0037797424 0.003831528 0.003799537 0.00414584 0.0038325277 0.0038093342 0.0039364984 0.0038217306 0.003831728 0.0038269293 0.0038059352 0.003950495 0.0037907395 0.0037617474 0.003777543 0.003820531 0.0037833415 0.003781542 0.003802336 0.0038467236 0.003856121 0.003763547 0.0038111336 0.0038949102 0.0038009365 0.004557925 0.0059027486 0.00040668438 9.999616e-08 0.0 9.999616e-08 0.0 9.999616e-08 4.999808e-07 4.999808e-07 1.9999231e-07 5.9997694e-07 0.0 0.0 0.0 9.999616e-08 3.9998463e-07 2.9998847e-07 0.00038198533 2.0099229e-05 1.6999347e-06 6.999731e-07 3.199877e-06 4.999808e-07 3.9998463e-07 9.999616e-08 9.999616e-08 9.999616e-08 0.0 9.999616e-08 1.9999231e-07 0.0 2.9998847e-07 9.999616e-08 0.00091576483 3.7398564e-05 4.7998155e-06 4.6998193e-06 3.2998732e-06 1.1999539e-06 1.7999308e-06 2.2999118e-06 6.199762e-06 1.3999462e-06 1.1999539e-06 4.999808e-07 1.899927e-06 6.999731e-07 4.5998236e-06 3.619861e-05 0.0009832622 0.00016239376 8.199685e-06 5.399793e-06 1.1899543e-05 3.099881e-06 5.8997734e-06 7.1997233e-06 6.799739e-06 8.59967e-06 1.6999347e-06 6.999731e-07 2.8998886e-06 2.5999002e-06 7.499712e-06 1.0599593e-05 0.0026654976 0.00090646517 1.4999424e-05 1.0399601e-05 1.55994e-05 3.799854e-06 5.399793e-06 1.0599593e-05 0.00052098 1.2299528e-05 1.5999385e-06 1.4399447e-05 3.3998695e-06 3.6998579e-06 9.099651e-06 0.000102396065 0.00010259606 1.9999231e-07 9.999616e-08 9.999616e-08 9.999616e-08 1.7399332e-05 9.999616e-08 9.999616e-08 8.2696824e-05 1.9999231e-07 1.9999231e-07 1.9999231e-07 1.9999231e-07 1.9999231e-07 1.9999231e-07 1.9999231e-07 0.0014301451 5.6697823e-05 3.799854e-05 2.7098959e-05 0.000104096005 1.8399294e-05 5.8197766e-05 2.9898853e-05 6.109766e-05 6.6597444e-05 4.8998118e-06 5.7097808e-05 4.8998118e-06 3.3998695e-06 5.4997886e-06 8.1896855e-05 0.00086466677 1.6599362e-05 7.3897165e-05 1.2699512e-05 5.4997887e-05 1.8899274e-05 0.00018659284 0.000110595756 1.0399601e-05 1.8899274e-05 3.5998617e-06 2.0999194e-06 3.799854e-06 5.699781e-06 1.3999463e-05 3.6098612e-05 0.0009836622 3.4998655e-05 7.529711e-05 1.8599285e-05 8.679667e-05 8.58967e-05 0.00021409178 0.00013079497 4.94981e-05 6.559748e-05 5.9997697e-06 6.799739e-06 4.7998155e-06 7.1997233e-06 1.3699474e-05 5.939772e-05 0.00072477217 6.0797665e-05 0.00012219531 3.619861e-05 6.469752e-05 2.4199071e-05 0.00012269529 5.8297763e-05 1.6599362e-05 8.089689e-05 1.3099497e-05 1.1399562e-05 1.1699551e-05 8.199685e-06 1.1699551e-05 6.609746e-05 0.0010353603 6.969732e-05 9.849622e-05 5.8497753e-05 0.00014399448 5.0198072e-05 0.00016779355 0.00012979502 5.8297763e-05 0.00011029576 1.4199455e-05 3.359871e-05 2.1999154e-05 2.1899159e-05 5.2497984e-05 0.00018609286 0.0008195685 9.429638e-05 0.00016529365 5.9797705e-05 0.00014349449 3.859852e-05 8.769663e-05 0.00011959541 7.4597134e-05 8.529673e-05 1.2299528e-05 2.1199186e-05 1.9099267e-05 1.8399294e-05 4.68982e-05 0.00024179071 0.00068067387 0.00013139496 0.00021479175 0.00010879582 0.000130395 6.559748e-05 0.00018119304 0.00016439368 0.0001277951 0.000110495756 3.5698627e-05 2.8798893e-05 5.4097924e-05 3.5298646e-05 0.000117395495 0.00047548173 0.0019250261 0.00022799124 0.00030628825 0.0002939887 0.00053047965 0.00057417795 0.000417084 0.0005022807 0.00058407756 0.0001796931 0.00010469598 0.00016799355 0.0003854852 0.00027948926 0.0003199877 0.0013929465 0.0015743396 0.0002552902 0.0002788893 0.00031628786 0.0005557787 0.0006273759 0.00034268684 0.0003876851 0.0009768625 0.0001433945 0.0001223953 0.0001954925 0.0005121803 0.00029098883 0.00047658168 0.0011354564 0.060322084 0.060279086 0.06015749 0.060020193 0.0599412 0.060123492 0.059988897 0.060066793 0.06015109 0.060232688 0.06010149 0.060073193 0.060108192 0.06038148 0.060288284 0.060082592 22508.0 5.7587967 129619.0 0.012644751 0.010060254 0.010268556 0.009589643 0.010307131 0.009859665 0.010044823 0.010098828 0.010260842 0.010237697 0.0106697325 0.009797947 0.009998534 0.0109320395 0.009859665 0.010222266 0.010476859 0.009751657 0.01038428 0.010376565 0.0098828105 0.009944529 0.010600298 0.010577153 0.010291701 0.010276271 0.009983105 0.00991367 0.010222266 0.010021679 0.010299416 0.010067969 0.010376565 0.010307131 0.010044823 0.010237697 0.010067969 0.01036885 0.01036885 0.010770026 0.009890526 0.010654302 0.009851951 0.010253127 0.010183692 0.01041514 0.009921385 0.009890526 0.010376565 0.010199122 0.009512494 0.010569438 0.01038428 0.010523149 0.0100525385 0.010438285 0.010006249 0.010013964 0.010345706 0.010523149 0.010476859 0.010476859 0.009720797 0.010337991 0.010199122 0.0113717895 0.009581928 0.011140342 0.011055478 0.013639975 0.010523149 0.010638872 0.010561723 0.011958123 0.009227042 0.010245412 0.0115492325 0.010391995 0.0113255 0.011533803 0.01041514 0.009875095 0.0118115395 0.011618667 0.012158711 0.010955184 0.010662017 0.010862605 0.010523149 0.010361135 0.009782516 0.0100525385 0.009998534 0.010422855 0.010106543 0.0099676745 6.582194 0.0 1.0 0.0 87.0 5001399.0 229376.0 0.0 0.0 122.0 0.0 1.0 0.0 1.0 0.0 1459953500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 66560.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 113152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.870893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5126157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4031167 -5.006032 5.0558224 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62020.0 -3588.0 113128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 102400.0 113128.0 114688.0 0.0 0.0 15016.0 16331280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0


Input: 0.056393564 0.008273625 0.006156278 0.0056421384 0.005753415 0.0049600536 0.004198633 0.005419585 0.0050538145 0.0056205015 0.0037452837 0.004459309 0.004944599 0.0031765362 0.004326395 0.0046344665 0.005030117 0.0037627993 0.0049229614 0.0041574193 0.0043552443 0.0031868396 0.0041079633 0.003846257 0.005076482 0.0033465424 0.003166233 0.0029395581 0.0041543283 0.0034423638 0.0037875276 0.003791649 0.0061614295 0.0038174074 0.0034938809 0.0030261066 0.0048796874 0.004165662 0.003838014 0.0037246768 0.004726167 0.0038977738 0.0033269657 0.0031085338 0.0043614265 0.0037205555 0.0037164341 0.0035948541 0.005508194 0.0039544427 0.003102352 0.0029014356 0.0036783116 0.003075563 0.0026933071 0.0028715557 0.004174935 0.00330945 0.003530973 0.003357876 0.003992565 0.0032321746 0.0035083056 0.0034578189 0.006578717 0.0039482606 0.0036226732 0.0032311443 0.0041522677 0.0032198105 0.0035474584 0.0030776237 0.0049930247 0.003777224 0.0037051004 0.0035783686 0.0041182665 0.0031250194 0.00355261 0.0034578189 0.005148606 0.003634007 0.0036577047 0.0033341781 0.0039183805 0.0033856952 0.0033692098 0.003530973 0.004633436 0.0036391586 0.0038009218 0.0035041843 0.004113115 0.0033980592 0.0037020093 0.0037906186 0.0059038447 0.0036267946 0.0033382995 0.002947801 0.0040090503 0.0030580473 0.0032682365 0.0030374404 0.0049703573 0.0031703543 0.0032125982 0.003060108 0.0035907328 0.002844767 0.003102352 0.0032002341 0.0045005223 0.0032867827 0.0032259927 0.003148717 0.0039008649 0.0033465424 0.0032960556 0.0036175216 0.004611799 0.0032929645 0.0034701831 0.0031548992 0.0040379 0.0031899307 0.0034753347 0.0033403602 0.00862291 0.004591192 0.004010081 0.0035320034 0.0043706996 0.0034382425 0.0030188945 0.0033918773 0.004532463 0.0038266804 0.0029673774 0.0032053858 0.0037360105 0.0028035534 0.0028550704 0.0029787112 0.005231033 0.0032033252 0.0034949111 0.0030384709 0.0036587352 0.0031775667 0.003315632 0.0032713276 0.0045582214 0.0028468277 0.0030580473 0.002707732 0.003515518 0.0032321746 0.0029972573 0.0031579903 0.0050053885 0.0034135142 0.0032806005 0.0028004623 0.0037751636 0.0030291977 0.0030673202 0.003194052 0.004134752 0.003002409 0.0031291407 0.003020955 0.0036432801 0.0028488883 0.0029158604 0.0030436225 0.0046612555 0.0031250194 0.0038369838 0.0028530096 0.0035629135 0.0031579903 0.0030003483 0.00312708 0.004248089 0.0031559295 0.0033475726 0.003190961 0.0036628565 0.003197143 0.0033372692 0.0033558153 0.006712661 0.0040698405 0.0037318892 0.0033465424 0.004106933 0.0032569028 0.0032981164 0.0032208408 0.004332577 0.00333933 0.0031198675 0.0030673202 0.003637098 0.002993136 0.0030796845 0.0028014928 0.004258393 0.003270297 0.0031033822 0.0030096213 0.0037112825 0.0030343495 0.0029405886 0.0029508919 0.003980201 0.003120898 0.0027365815 0.0026428206 0.003540246 0.0029653166 0.00358249 0.0028828895 0.004951811 0.0032435083 0.0033918773 0.0029797414 0.0038246198 0.003075563 0.0032012644 0.0029168907 0.0044376715 0.0054484345 0.003476365 0.0031415047 0.0037937097 0.003081745 0.0032496904 0.003194052 0.0046169506 0.0033290265 0.0034269087 0.0030487743 0.0037401319 0.0030910182 0.0033135714 0.0032373264 0.0043521537 0.0030291977 0.0031899307 0.002860222 0.0040080203 0.0030972 0.0042192396 0.0044922796 0.011618616 0.0 0.0 0.0 0.0 0.0 1.0323071e-06 3.0969213e-06 0.0 1.0323071e-06 2.0646141e-06 0.0 0.0 1.0323071e-06 0.0 1.0323071e-06 0.0020429357 4.1292283e-06 2.0646141e-06 6.1938426e-06 5.1615352e-06 1.0323071e-06 3.096921e-05 1.1355378e-05 0.0 0.0 1.03230705e-05 0.0 0.0 0.0 0.0 0.0 0.0009461094 2.5807676e-06 6.1938426e-06 1.2903839e-05 9.290764e-06 5.677689e-06 5.1615356e-05 2.2710756e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028496836 3.5614594e-05 2.7872291e-05 1.0839224e-05 2.2194603e-05 3.458229e-05 4.232459e-05 1.8065373e-05 3.5614594e-05 5.1615352e-06 9.806918e-06 1.600076e-05 2.632383e-05 7.2261496e-06 1.7033068e-05 1.2903839e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087591255 1.1871532e-05 1.2387685e-05 8.258457e-06 1.3419992e-05 1.600076e-05 1.3419992e-05 1.1355378e-05 1.0839224e-05 1.3419992e-05 6.709996e-06 1.3419992e-05 1.1871532e-05 1.03230705e-05 1.8065373e-05 9.806918e-06 0.0016176252 6.503535e-05 5.677689e-05 4.8518432e-05 4.7486126e-05 3.0453059e-05 2.2710756e-05 0.0005522843 2.9936906e-05 1.7033068e-05 1.9613835e-05 0.00027614215 2.0646141e-05 0.0002730452 1.6516913e-05 7.742303e-05 0.000739648 3.7163056e-05 3.4066135e-05 2.0646141e-05 2.2194603e-05 1.7033068e-05 1.39361455e-05 1.1871532e-05 1.6516913e-05 2.2710756e-05 1.909768e-05 1.754922e-05 6.709996e-06 4.645382e-06 2.2710756e-05 5.0583047e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013125784 3.7163056e-05 4.2840744e-05 5.987381e-05 4.232459e-05 3.1485368e-05 9.135918e-05 5.832535e-05 3.922767e-05 5.7293044e-05 4.387305e-05 4.2840744e-05 7.7939185e-05 7.742303e-06 8.77461e-06 0.00016052375 0.0011639262 6.916458e-05 4.5937664e-05 4.5937664e-05 3.819536e-05 3.767921e-05 4.7486126e-05 5.987381e-05 5.213151e-05 5.0583047e-05 6.813227e-05 5.1615356e-05 7.484226e-05 1.4452299e-05 4.387305e-05 0.00025033447 0.004562281 0.00029162675 0.0002699483 0.00026943214 0.00029833676 0.00023949525 0.00033033825 0.00030607905 0.00032982213 0.00034943596 0.0003267252 0.0003499521 0.00051873433 0.00015278145 0.0001832345 0.0007355188 0.003183119 0.00027252908 0.00029936904 0.0002477537 0.00028749753 0.00028130368 0.00034169364 0.0009295925 0.0004056967 0.0003499521 0.00032311212 0.0006663542 0.0004609251 0.000433569 0.00017394374 0.00085733103 0.0022416548 0.00018116989 0.00028904597 0.00024414062 0.00029730445 0.00029369135 0.0002844006 0.0004010513 0.00044131128 0.00032156365 0.00024517294 0.00031588596 0.0004588605 0.0001610399 0.00018891219 0.0010343717 0.0003432421 5.4196124e-05 4.2840744e-05 4.490536e-05 5.4196124e-05 4.800228e-05 5.3163814e-05 5.1615356e-05 7.019688e-05 4.800228e-05 3.819536e-05 4.9034585e-05 4.4389206e-05 2.632383e-05 4.180844e-05 4.6969973e-05 0.09900909 0.062031332 0.062444255 0.055357985 0.06057836 0.05956257 0.055013195 0.05447278 0.060475647 0.05324227 0.05219448 0.05303271 0.056419194 0.050650146 0.056705143 0.053842556 4035.0 5.7035937 23014.0 0.017206918 0.010428435 0.009472495 0.008733815 0.013556966 0.012514122 0.011818893 0.01151473 0.012557574 0.009733206 0.008429651 0.008646911 0.013817676 0.0105587905 0.01173199 0.009863561 0.016772399 0.011905797 0.008646911 0.0075171636 0.009776657 0.008473103 0.007821326 0.008386199 0.010254628 0.008473103 0.0095593985 0.00886417 0.01151473 0.008994525 0.009733206 0.009255236 0.01798905 0.010906405 0.010341532 0.009037977 0.010776049 0.008907622 0.010689146 0.008255844 0.014165291 0.011558182 0.009733206 0.0089510735 0.011384374 0.00934214 0.011601633 0.0095593985 0.014730164 0.00960285 0.009950465 0.009168332 0.012079604 0.009385591 0.009776657 0.009820109 0.013687321 0.009255236 0.010471887 0.0095593985 0.011080212 0.009776657 0.010384983 0.010645694 0.017902147 0.010949857 0.009689754 0.00816894 0.013035543 0.008255844 0.00934214 0.008386199 0.015468845 0.009255236 0.008907622 0.008690363 0.011297471 0.0079516815 0.009950465 0.00790823 0.013165899 0.008082037 0.008690363 0.0089510735 0.011471278 0.009515947 0.008255844 0.007995133 0.01103676 0.009037977 0.011905797 0.008603459 0.011254019 0.009081429 0.009993916 0.008690363 6.554958 0.0 0.0 0.0 14.0 970554.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 94208.0 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 831488.0 0.0 0.0 16384.0 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 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.12951633 0.012423923 0.0058418186 0.01021477 0.008191421 0.0225158 0.0047343164 0.010444464 0.009740754 0.0061827013 0.001966292 0.0013474368 0.0071760886 0.0017044124 0.0010182584 0.018815836 0.0073457984 0.0012406367 0.0009977762 0.00089975423 0.004282245 0.0020818703 0.0008602528 0.0006963951 0.004485604 0.0015771302 0.0008982912 0.0008895131 0.0044285464 0.00076808286 0.00080758426 0.0009363296 0.0064870086 0.00070078415 0.0014381438 0.0012947683 0.022163214 0.0010138694 0.0010065543 0.0007929541 0.0029143258 0.00092169945 0.0008412336 0.0026919476 0.002359843 0.00081489934 0.0012464888 0.00075784174 0.0039794007 0.0021096675 0.002725597 0.005641386 0.003218633 0.0025251638 0.0022925446 0.0018711962 0.0038565076 0.0029113998 0.0019940895 0.004102294 0.0034892908 0.0037599485 0.0017380618 0.0028821395 0.006134422 0.0037570226 0.003328359 0.0036575375 0.007983672 0.010839478 0.0031118328 0.0022179307 0.0025178487 0.0013093984 0.0013576779 0.00097436795 0.0045251055 0.005860838 0.0015098314 0.0009977762 0.011216936 0.0031059808 0.0023949556 0.0034614934 0.004889396 0.0024710323 0.0045294943 0.003224485 0.0027402272 0.005059106 0.0010928722 0.0017234316 0.00430419 0.0032215589 0.0024666432 0.0020979636 0.0017014864 0.0026524463 0.0013825492 0.0026114818 0.0027124297 0.004514864 0.005585791 0.0013927902 0.0055067884 0.0029070107 0.0039238064 0.0011192064 0.0041564256 0.0016722261 0.002434457 0.0030430711 0.003980864 0.000880735 0.0049069524 0.0026729284 0.009521302 0.008798572 0.0017702482 0.0011835791 0.0021740403 0.001173338 0.0007417486 0.00075784174 0.0036414443 0.002626112 0.001174801 0.0017673221 0.00404231 0.004484141 0.0007724719 0.010691714 0.003994031 0.008987301 0.0013298807 0.00078125 0.002749005 0.011610487 0.0014293656 0.024784938 0.0019033825 0.015153909 0.0008865871 0.0007607678 0.0013035464 0.0005544827 0.00084269664 0.001168949 0.001656133 0.00074613764 0.00082367746 0.00073882256 0.0011513928 0.00077393494 0.0005149813 0.000782713 0.0014908123 0.00096120086 0.00080758426 0.00084269664 0.001269897 0.0009977762 0.000586669 0.0007241924 0.0010811681 0.0009860721 0.00058520597 0.0005588717 0.0018989934 0.0005998361 0.0007476006 0.0013430477 0.002042369 0.00051644427 0.000583743 0.003138167 0.0015712781 0.00077978696 0.0005383895 0.000583743 0.0015098314 0.0012318586 0.0039530667 0.0036853347 0.0043305242 0.0012216176 0.00080319523 0.0007300445 0.0014161986 0.0008602528 0.00084854866 0.0010416667 0.0065104165 0.0067503513 0.0029962547 0.004983029 0.00477967 0.0015976124 0.0033898058 0.0037336142 0.0029743095 0.0029904025 0.001856566 0.0014059574 0.0060217697 0.00089243916 0.0017409879 0.001362067 0.0018112125 0.0015215356 0.0020292017 0.0009597378 0.0015815191 0.0008412336 0.0015405548 0.0008602528 0.004204705 0.0066128275 0.00096851593 0.0023759364 0.0032654495 0.0072887405 0.00232912 0.0019882373 0.002936271 0.00088366104 0.00092169945 0.00107239 0.0021155197 0.00087634596 0.00061885535 0.0009290145 0.018589068 0.0039457516 0.001277212 0.003904787 0.0041139983 0.00077539793 0.00165467 0.0027870436 0.0028733613 0.0016093164 0.0010343516 0.0018887523 0.0016473549 0.00082367746 0.0025997777 0.002150632 0.0031440193 0.0019238647 0.0022705994 0.002140391 0.0049406015 0.0024169008 0.0035712195 0.07636792 0.003003003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00694811 7.624812e-05 3.079251e-05 0.00010484117 0.00016276042 4.4722456e-05 6.0851868e-05 0.00018842085 2.6393582e-05 4.545561e-05 4.3256146e-05 5.6452936e-05 0.000120237426 0.00018548823 3.0059357e-05 0.00088491815 0.042439412 0.0014780406 0.0012089727 0.0006539743 0.000964832 0.0005835914 0.0004091005 0.00041349942 0.00041349942 0.0010322822 0.00033358554 0.00024414062 0.00052127324 0.00026980106 0.00047361816 0.0056174337 0.0021034218 2.4194116e-05 1.5396256e-05 8.0647056e-05 0.00010777379 4.545561e-05 6.8916575e-05 2.9326202e-05 8.944491e-05 4.39893e-05 2.3460962e-05 4.618877e-05 5.3520318e-05 1.2463635e-05 4.545561e-05 0.00021334812 0.004281625 0.0002331433 0.0003064588 0.00039370425 0.0012727572 0.0008006053 0.0031364372 0.0014912373 0.00011877112 0.0001598278 0.00015616202 0.0001532294 0.00015396255 0.00017742351 0.000120237426 0.0050624353 0.0056716874 0.00041496573 0.00049121387 0.00106894 0.0017434426 0.0010652742 0.0029641457 0.0016312699 0.00027639946 0.0002903294 0.00035558018 0.0002983941 0.00028593047 0.00026027003 0.00027053422 0.0069356468 0.005316107 0.00029399517 0.00058432453 0.00044429195 0.0016063426 0.00074561866 0.002492727 0.0012852207 0.00018035613 0.00016935881 0.0002038171 0.00029766094 0.00021114865 0.00026466895 0.00025513794 0.00216574 0.014333181 0.0018277555 0.003263273 0.019845774 0.0031789602 0.0024113469 0.005041174 0.0033893757 0.0024054816 0.0015015015 0.0022111956 0.0020975566 0.002236856 0.0015755502 0.0016481325 0.0051049585 0.013317761 0.0014105903 0.002662086 0.0024897945 0.003239812 0.0030088683 0.0035917265 0.0025132555 0.004885012 0.0007910743 0.0012507625 0.0014435822 0.0021349473 0.0014237871 0.0021694058 0.007721589 0.0737268 0.01115642 0.019251185 0.008852114 0.019139012 0.018677857 0.011600712 0.014141828 0.037344716 0.003821204 0.005107158 0.009490692 0.022001982 0.013067755 0.016805379 0.035635002 0.07680825 0.014529666 0.0175444 0.012983442 0.02696984 0.02874261 0.015940256 0.020787878 0.04676136 0.005349099 0.006269942 0.009219425 0.0246648 0.021291556 0.023566535 0.040462825 0.0036621094 0.0017647041 0.002147411 0.0022148613 0.0017932972 0.0018746774 0.001971454 0.0019157341 0.001948726 0.0018314213 0.0016686609 0.0016774588 0.0016356689 0.0016627957 0.0019465266 0.001816025 4940.0 10.815587 53429.0 0.035317898 0.002189822 0.0023021207 0.0028448969 0.010518632 0.0032753749 0.0033502404 0.0032566583 0.0067940634 0.0037994348 0.0026951656 0.004024032 0.0061951373 0.0031256434 0.0089277355 0.0031630762 0.015441053 0.010443767 0.014748544 0.011435737 0.011080125 0.010705796 0.009470512 0.00832881 0.01257744 0.011697767 0.009826125 0.014486515 0.0118849315 0.024181625 0.0077298847 0.012427708 0.011810065 0.020082727 0.017200397 0.028112074 0.011080125 0.011136274 0.0057646595 0.010144304 0.005259316 0.007261974 0.00209624 0.003687136 0.013007917 0.008029347 0.0032005091 0.003724569 0.019577384 0.0038743005 0.015478485 0.012933051 0.008703139 0.004155047 0.007711168 0.0043609277 0.007991915 0.010237886 0.0058020926 0.0023021207 0.0050160023 0.002283404 0.0027887477 0.006663048 0.0030882105 0.024368789 0.009957139 0.021823354 0.0122966925 0.03689008 0.011529319 0.009769975 0.017368844 0.019914279 0.0023021207 0.005951824 0.021598756 0.011810065 0.018360816 0.029141478 0.016938366 0.0011978514 0.03776975 0.017799322 0.044301786 0.012745887 0.0035748377 0.0043047783 0.0061577046 0.004566808 0.0026015835 0.0016844785 0.0031256434 0.0023957028 0.0023395533 0.0026015835 6.1575565 0.0 2.0 0.0 2.0 683520.0 704512.0 1.0 5.0 127.0 1.0 1.0 0.0 0.0 0.0 1161595500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 480768.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 151552.0 0.0 0.0 -11776.0 0.0 0.0 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 -480768.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3788843 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.703338 0.0 0.0 -7.48699 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5161552 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8166127 0.0 4.1596117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 151144.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -480727.0 0.0 1416.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 638400.0 180.0 635188.0 1416.0 659456.0 0.0 0.0 0.0 0.0 25592.0 663552.0 28.0 488224.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 585264.0 0.0 0.0 540.0 487424.0 0.0 0.0 0.0 0.0


Input: 0.27297026 0.026855305 0.0060336413 0.0046572667 0.006385737 0.005041371 0.0027527488 0.0017764833 0.0050093625 0.0020325528 0.0016164397 0.0013923787 0.0029127924 0.0021925964 0.00094425684 0.023798473 0.004993358 0.0012643439 0.0006881872 0.0006881872 0.0018565049 0.0022566137 0.00065617845 0.0006721828 0.0022086008 0.00043211752 0.00022406095 0.00041611318 0.0006721828 0.00094425684 0.0005761567 0.0058575934 0.010322807 0.00043211752 0.00028807836 0.00028807836 0.018501032 0.0034409359 0.00041611318 0.00028807836 0.006193685 0.0033289054 0.00086423504 0.0004801306 0.0010722916 0.00065617845 0.004385193 0.0005761567 0.005393467 0.0038570492 0.0010722916 0.0006881872 0.0013923787 0.0006881872 0.0010882961 0.0004481219 0.0022086008 0.0027847574 0.0014884048 0.00056015234 0.0018084919 0.0014403918 0.0004481219 0.0006721828 0.006561785 0.010802939 0.0015204136 0.004257158 0.012659444 0.0052814367 0.0014884048 0.0028967878 0.037386168 0.0072819805 0.001040283 0.0020485572 0.011107021 0.0027367445 0.0024486661 0.00094425684 0.0031848664 0.0009762655 0.001040283 0.0025126834 0.0032968968 0.0025126834 0.0022406094 0.0017444745 0.0022726182 0.00065617845 0.0005921611 0.0021605876 0.0021125746 0.0014724005 0.0022726182 0.0035689708 0.002768753 0.0034729447 0.00091224816 0.0042251493 0.003536962 0.006721828 0.0072979853 0.00136037 0.0016004354 0.0036489926 0.00041611318 0.00073620025 0.0042891665 0.0015364179 0.003953075 0.003392923 0.0031048446 0.00041611318 0.004993358 0.0032808925 0.01077093 0.004849319 0.0016004354 0.0012323352 0.0025606966 0.0011203047 0.0007522046 0.0004801306 0.0017444745 0.0005121393 0.0018084919 0.0015684266 0.0036009795 0.00198454 0.00038410447 0.014083831 0.00889842 0.010754925 0.00041611318 0.0011043004 0.0017764833 0.025382904 0.00025606964 0.014003809 0.0013923787 0.010050734 0.000816222 0.00065617845 0.011171038 0.0004801306 0.0005761567 0.00040010884 0.0014563962 0.00052814366 0.00043211752 0.0002400653 0.0010082743 0.00038410447 0.00025606964 0.0004481219 0.0011523134 0.00035209578 0.00025606964 0.00043211752 0.00086423504 0.0003040827 0.000496135 0.0004801306 0.0006081654 0.0003360914 0.0003360914 0.00038410447 0.001632444 0.00027207402 0.00025606964 0.00025606964 0.00084823073 0.00028807836 0.0003360914 0.00062416977 0.00086423504 0.00027207402 0.0003040827 0.0003040827 0.00064017414 0.00032008707 0.0014884048 0.0008002177 0.0023206312 0.0020325528 0.0014884048 0.0003040827 0.0010882961 0.00054414803 0.00062416977 0.0005121393 0.00952259 0.003985084 0.001952531 0.004385193 0.003488949 0.0014083831 0.0022566137 0.0051373974 0.0020325528 0.0023686443 0.001040283 0.000816222 0.00070419157 0.00054414803 0.0008962438 0.0007842133 0.0025606966 0.0011843222 0.0026567227 0.0012803483 0.0004481219 0.00046412623 0.00062416977 0.0006721828 0.0012163308 0.0014884048 0.00091224816 0.001632444 0.00043211752 0.00076820893 0.00052814366 0.0010242786 0.0018725094 0.00094425684 0.0010082743 0.00052814366 0.00065617845 0.00046412623 0.00065617845 0.00056015234 0.010690908 0.0071699503 0.0012323352 0.0026567227 0.0023686443 0.0009602612 0.0008002177 0.0010082743 0.00198454 0.0016164397 0.0036970056 0.00091224816 0.0006881872 0.0005921611 0.001952531 0.0015844309 0.0025767009 0.0023846487 0.001952531 0.0015844309 0.0020325528 0.0018084919 0.0033769186 0.03900261 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02758789 8.951823e-05 0.00052083336 0.00061035156 0.0015055338 0.0002766927 0.0017171224 0.0008707682 4.8828126e-05 8.138021e-06 1.6276043e-05 8.138021e-06 3.2552085e-05 8.138021e-06 1.6276043e-05 1.6276043e-05 0.02626953 0.00024414062 0.00033365886 0.00079752604 0.0010091146 0.00056966144 0.002018229 0.00095214846 8.951823e-05 4.8828126e-05 0.00039876302 8.138021e-05 0.00014648438 0.00013834635 0.00014648438 8.951823e-05 0.025634766 0.00044759116 0.00016276042 0.0011474609 0.0018636067 0.00071614585 0.0010986328 0.00078125 0.00017089843 9.765625e-05 0.00016276042 0.00012207031 0.00028483072 0.00026041668 0.00022786458 0.0001546224 0.012247722 0.00024414062 0.00013020834 0.0006754557 0.00028483072 0.000382487 0.00048828125 0.00039876302 0.00026041668 0.00011393229 0.0004720052 0.00029296876 0.00024414062 0.00017903646 0.0001546224 9.765625e-05 0.040104166 0.0010416667 0.0041910806 0.003059896 0.005761719 0.0024332681 0.0036865235 0.001920573 0.0005859375 0.00048014324 0.0008544922 0.00069173175 0.0004313151 0.0005615234 0.000390625 0.0004720052 0.017667644 0.00016276042 0.0020996095 0.0008789062 0.0030029297 0.0022379558 0.014444987 0.007861328 0.00010579427 0.00014648438 0.00012207031 0.0002685547 0.00022786458 0.00010579427 4.0690105e-05 0.0006266276 0.02199707 0.00068359374 0.0035807292 0.0010823568 0.0025065104 0.0011230469 0.0077636717 0.0044596354 0.0016438802 0.00057779945 0.00021158854 0.0003092448 0.00083821616 0.0003173828 0.00081380206 0.0020914713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04239909 0.003108724 0.0075276694 0.0028971354 0.016381836 0.0033528646 0.005834961 0.0053792316 0.014298502 0.003857422 0.0025146485 0.0018717448 0.0037923178 0.0021077474 0.004996745 0.013012695 0.13316244 0.017081706 0.029817708 0.013842774 0.07404785 0.020361328 0.010970052 0.016178386 0.0748291 0.013151041 0.0030843099 0.009676107 0.03237305 0.012508138 0.025 0.04724935 0.011726888 0.0014973958 0.0037353516 0.0013590495 0.0057210284 0.001570638 0.0018717448 0.0022949218 0.005078125 0.0013753255 0.00021972656 0.0007568359 0.003540039 0.001953125 0.0022949218 0.005004883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 398.0 13.708543 5456.0 0.054985337 0.00018328446 0.00036656891 0.00036656891 0.008064516 0.010813783 0.00036656891 0.00018328446 0.015395895 0.012280059 0.002382698 0.0010997067 0.0014662757 0.0016495602 0.024926687 0.004398827 0.010630499 0.00073313783 0.0012829913 0.0027492668 0.0076979473 0.0 0.008064516 0.0 0.0010997067 0.00018328446 0.014296188 0.0005498534 0.002016129 0.0021994135 0.0 0.00036656891 0.002016129 0.028958945 0.0014662757 0.021994134 0.006781525 0.005131965 0.002016129 0.018328445 0.012463343 0.004032258 0.00036656891 0.00036656891 0.004398827 0.0016495602 0.01026393 0.002382698 0.0034824046 0.00073313783 0.0031158358 0.010630499 0.01026393 0.02254399 0.011363637 0.009530792 0.00073313783 0.0 0.00018328446 0.008797654 0.006414956 0.012463343 0.010813783 0.033174485 0.0036656891 0.03372434 0.0058651026 0.032807916 0.029142229 0.067082115 0.011546921 0.011546921 0.0058651026 0.034274194 0.0009164223 0.0042155427 0.032624632 0.012646628 0.036107037 0.03170821 0.014479472 0.0005498534 0.043071847 0.028042521 0.052785926 0.018695015 0.0111803515 0.005131965 0.006781525 0.0053152493 0.0005498534 0.00018328446 0.0014662757 0.00018328446 0.00018328446 0.0 5.579437 0.0 1.0 0.0 9.0 62483.0 110592.0 0.0 3.0 108.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 27.0 4.0 0.0 5.0 2.0 43008.0 1024.0 4096.0 13.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -512.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 -2048.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -43008.0 -4608.0 1024.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -1.1158414 0.0 0.0 -3.670911 0.0 0.0 -0.8452005 0.0 0.0 0.0 0.0 0.0 4.9346766 0.0 0.0 -4.340975 0.0 4.5901227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1289191 0.0 0.0 0.0 0.0 0.0 4.3639903 0.0 0.0 -6.277518 -4.4443655 3.3079422 0.0 0.0 0.0 -4.051462 0.0 0.0 0.0 0.0 -104.0 0.0 0.0 -128.0 0.0 0.0 -88.0 0.0 0.0 0.0 0.0 0.0 5456.0 0.0 0.0 -1548.0 0.0 1620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4976.0 0.0 0.0 -168.0 0.0 0.0 0.0 0.0 0.0 170.0 0.0 0.0 -42608.0 -4208.0 920.0 0.0 0.0 0.0 -36.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170.0 77824.0 4208.0 81920.0 920.0 98304.0 1620.0 61440.0 0.0 0.0 128.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 94240.0 0.0 0.0 0.0 0.0 896.0 82916.0 0.0 0.0 0.0 0.0