Input: 0.115551814 0.01558385 0.00259094 0.0026012275 0.002730554 0.0025439123 0.0025233375 0.0024851274 0.0025130503 0.0025306856 0.0024586744 0.0024116465 0.0024292818 0.002370497 0.0024498566 0.0025057022 0.0024380996 0.0024292818 0.0023499224 0.0024719008 0.002394011 0.0025468515 0.002455735 0.0024586744 0.0024660223 0.0024630832 0.002382254 0.002432221 0.0024072377 0.002405768 0.0024292818 0.002467492 0.0025468515 0.0025130503 0.0025380338 0.0023734362 0.0025395034 0.0024263426 0.0023146516 0.0024292818 0.0025688957 0.0024351603 0.0024454477 0.0026394376 0.0027276147 0.002692344 0.0028686982 0.002950997 0.0029759805 0.003415397 0.004207522 0.013086966 0.01500629 0.0025850616 0.0024660223 0.0024042984 0.00239842 0.002579183 0.002545382 0.00251452 0.0025159894 0.0025306856 0.0025395034 0.0024704312 0.0024072377 0.0026688299 0.0025497908 0.0024542655 0.002649725 0.0026041667 0.002327878 0.0023749059 0.002607106 0.0025703653 0.0024513262 0.002363149 0.0024513262 0.0023896021 0.0024116465 0.0025600782 0.0025277464 0.002424873 0.0025497908 0.0023719666 0.0024131162 0.00247484 0.002502763 0.0024072377 0.00259094 0.002448387 0.0024395692 0.002455735 0.0025012933 0.0024072377 0.0024660223 0.002460144 0.0024410388 0.0025997579 0.00251452 0.0026115149 0.0025130503 0.002637968 0.0025321553 0.0024160554 0.0024880667 0.0025365641 0.0024807185 0.002432221 0.0024998237 0.0025483212 0.0025233375 0.002529216 0.0025115807 0.0024939452 0.0025350945 0.002714388 0.0025586085 0.002448387 0.0025203982 0.0023910718 0.00247484 0.0025321553 0.0023411047 0.002448387 0.0024586744 0.0024895363 0.0022793806 0.0024145858 0.0026085756 0.0024219337 0.002491006 0.0026129843 0.0026232717 0.0023190605 0.0024821882 0.0023837236 0.0025086415 0.0025468515 0.0025762438 0.0026556035 0.0025380338 0.00251452 0.0025012933 0.002486597 0.0025380338 0.0024689615 0.0026306198 0.0024924756 0.0026482553 0.0027011617 0.002626211 0.0028172615 0.002981859 0.0034212754 0.012164045 0.0026776476 0.00259094 0.0025600782 0.0025057022 0.002443978 0.0024689615 0.0024087073 0.0025439123 0.002510111 0.0023734362 0.0023249388 0.0025497908 0.0024924756 0.0024777793 0.0024131162 0.0024160554 0.0024395692 0.0025115807 0.0024880667 0.0024645529 0.0023646187 0.002510111 0.0023837236 0.0024630832 0.0024351603 0.0024836578 0.002455735 0.002498354 0.0024395692 0.0024954148 0.002545382 0.0024586744 0.0025497908 0.0025203982 0.0025115807 0.0025130503 0.0025189286 0.0027246755 0.0026600123 0.0025086415 0.0024542655 0.0025659564 0.0025880008 0.0025439123 0.002657073 0.0026394376 0.0028084437 0.002943649 0.0033874742 0.014496332 0.0028246096 0.0026085756 0.002443978 0.002498354 0.0023969503 0.0023411047 0.0024660223 0.0024072377 0.0024454477 0.0024586744 0.0024028288 0.0024336907 0.0024263426 0.0024469174 0.0025277464 0.0025806527 0.0024292818 0.0023925414 0.0025203982 0.0026849958 0.0024689615 0.0024645529 0.0024998237 0.0025350945 0.0026688299 0.0024131162 0.002545382 0.0026159235 0.0025350945 0.0025968186 0.0025747742 0.0026159235 0.0025733046 0.0026306198 0.0026159235 0.0027026313 0.002780521 0.0026629514 0.0027790514 0.0030568095 0.0047630384 0.0075053493 0.062630795 0.0052083335 0.032860704 0.0035094526 0.002981859 0.0029774501 0.0030729754 0.0034683032 0.07867317 0.02706168 6.6282523e-06 2.2094175e-06 0.0 0.0 2.94589e-06 7.364725e-07 0.0 1.1047087e-05 1.472945e-06 7.364725e-07 1.472945e-06 0.0 2.94589e-06 3.4614208e-05 2.2830647e-05 0.0056701014 9.5741425e-06 8.101198e-06 1.6202395e-05 2.94589e-06 3.6823624e-06 1.472945e-06 5.1553075e-06 1.9884757e-05 8.101198e-06 7.3647248e-06 1.472945e-06 1.1047087e-05 5.1553075e-06 4.6397767e-05 0.00021652291 0.0013227046 2.2094175e-06 2.94589e-06 2.94589e-06 2.94589e-06 5.1553075e-06 3.6823624e-06 2.2094175e-06 1.472945e-06 2.2094175e-06 3.6823624e-06 2.94589e-06 2.2094175e-06 3.6823624e-06 1.472945e-06 0.00014582156 0.0048828125 1.767534e-05 7.3647248e-06 2.5776537e-05 4.418835e-06 7.3647248e-06 4.418835e-06 1.2520032e-05 1.767534e-05 4.418835e-06 5.1553075e-06 5.1553075e-06 2.2830647e-05 6.6282523e-06 1.6202395e-05 0.000992765 0.0056369603 3.6823625e-05 0.00010678851 0.0009655154 4.6397767e-05 3.6087153e-05 3.535068e-05 2.5776537e-05 8.1011975e-05 0.00010605204 5.302602e-05 6.2600164e-05 0.0010104403 8.1011975e-05 0.00015760511 0.017199578 0.011700338 6.849194e-05 0.00021799585 0.002635835 0.00010384262 8.83767e-05 8.83767e-05 7.659314e-05 7.880256e-05 0.00037044566 0.00010016026 0.00018632754 0.0025393572 0.00013256505 0.00021652291 0.029661428 0.030115832 0.00020105699 0.00058402267 0.00835307 0.0002975349 0.00025334654 0.00019221932 0.00017380751 0.00029827136 0.001362474 0.0002246241 0.00041905284 0.0077749398 0.00039769514 0.00067608175 0.06933962 0.021110984 0.00010752498 0.00041905284 0.0061657475 0.00017822634 0.0001634969 0.00013698389 0.00013330152 0.0001900099 0.0023530296 0.00019663815 0.00028206897 0.004446084 0.000268076 0.0005832862 0.037171975 0.014799414 7.070136e-05 0.00036234446 0.008917945 0.00017159809 0.00015907806 9.132259e-05 0.00011930854 0.00024966418 0.008918682 0.0002062123 0.00022977941 0.0005030107 0.00025923832 0.00069523003 0.026086591 0.0005862321 3.0931846e-05 4.8607184e-05 0.00027470425 3.0195371e-05 3.3877735e-05 4.0505987e-05 3.9033042e-05 3.7560098e-05 0.0002835419 2.8722427e-05 1.8411813e-05 2.7985954e-05 2.1357702e-05 3.829657e-05 0.0014766273 0.00066208874 2.062123e-05 9.6477896e-05 0.00016276042 4.418835e-05 1.9148285e-05 0.00030048078 0.0001421392 1.1047087e-05 2.2094175e-06 1.472945e-06 2.94589e-06 4.418835e-06 4.418835e-06 2.7249482e-05 6.6282523e-06 0.0014250742 5.965427e-05 0.0001097344 7.438372e-05 0.00020400288 5.376249e-05 0.00011047087 6.554605e-05 0.00017086162 4.6397767e-05 3.3877735e-05 7.070136e-05 0.00018853696 4.124246e-05 0.00012446386 0.00023788061 0.0007836067 0.00011341676 0.00011930854 8.174845e-05 0.00025629243 0.00012151796 0.00016717926 0.000111207344 0.00017159809 6.775547e-05 8.83767e-05 6.112722e-05 0.0001259368 5.376249e-05 8.469434e-05 0.0006090627 0.0016239218 0.00020032052 0.0002599748 0.00019958404 0.0004735518 0.00023051589 0.00025629243 0.00020179346 0.0004065328 0.00015760511 0.00016570631 0.00019221932 0.00035129738 0.00013624741 0.00021504996 0.0009625695 0.0003697092 8.911317e-05 8.1011975e-05 7.364725e-05 7.5120195e-05 9.868731e-05 6.480958e-05 7.732961e-05 6.996489e-05 7.143783e-05 6.996489e-05 7.2174305e-05 7.143783e-05 7.585667e-05 7.880256e-05 6.9228416e-05 0.038244277 0.038017444 0.038518984 0.038174313 0.037967365 0.038196407 0.03841956 0.038192727 0.03851972 0.038610306 0.03812718 0.038239125 0.037877515 0.03774495 0.038101405 0.037908446 1975.0 6.2703795 12384.0 0.010901162 0.008559432 0.0123546515 0.008559432 0.008236434 0.009770672 0.008155685 0.009124677 0.008720931 0.009447674 0.009366925 0.009124677 0.009366925 0.010416667 0.0127583975 0.0123546515 0.01122416 0.009770672 0.0119509045 0.010981912 0.010255168 0.009851421 0.009205426 0.009124677 0.010820413 0.009932171 0.011627907 0.0092861755 0.011789406 0.010255168 0.010901162 0.008559432 0.0088824285 0.011143411 0.009689922 0.010658915 0.009528424 0.010255168 0.009124677 0.010416667 0.010497416 0.010255168 0.010416667 0.010174419 0.009689922 0.008155685 0.009124677 0.011547158 0.008640181 0.008397933 0.010820413 0.01001292 0.009447674 0.010255168 0.010739665 0.009609173 0.011708656 0.008640181 0.010174419 0.010255168 0.010578166 0.010255168 0.009770672 0.008317184 0.007913437 0.013565891 0.013323643 0.011708656 0.014534884 0.017603358 0.010255168 0.01001292 0.009528424 0.013000646 0.009528424 0.009851421 0.014857881 0.011708656 0.012435401 0.012919896 0.010901162 0.009609173 0.01122416 0.016149871 0.013242894 0.011385659 0.010739665 0.009528424 0.0084786825 0.010981912 0.009043927 0.009366925 0.0088824285 0.010255168 0.008155685 0.009366925 6.5664325 0.0 1.0 0.0 10.0 680448.0 1658880.0 0.0 0.0 13.0 0.0 1.0 0.0 1.0 0.0 1534924200.0 0.0 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 -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 14.0 0.0 5.0 2.0 5.0 2.0 797184.0 512.0 4096.0 3.0 0.0 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 -416256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 259584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9995356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.012862 0.0 3.6311464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1388544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3712.0 0.0 259424.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 856.0 1392640.0 259424.0 1396736.0 28596.0 1077248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1396304.0 0.0 0.0 0.0 0.0 208.0 1392920.0 0.0 0.0 0.0 0.0


Input: 0.21869546 0.004098126 0.0031933915 0.0029716778 0.002844729 0.002850093 0.0030878987 0.0028840653 0.003109355 0.0031629952 0.0028196967 0.0026838079 0.0027857246 0.0030360464 0.0028715492 0.0033739808 0.0033453726 0.007713489 0.0029090974 0.0026230153 0.0027356602 0.0026695037 0.0027463883 0.002733872 0.0027356602 0.0027016879 0.0028429409 0.0026766558 0.0028071806 0.0027517523 0.002859033 0.002596195 0.0028840653 0.0027463883 0.0027392362 0.002724932 0.0027535402 0.0029645257 0.0030735945 0.0028161206 0.0028429409 0.0029251894 0.002866185 0.0026999 0.002846517 0.002851881 0.0028340009 0.0026605637 0.0033024603 0.002832213 0.0029341297 0.0026945358 0.0026748676 0.0025944072 0.0028894292 0.0026605637 0.0031629952 0.002998498 0.0026855958 0.0026373195 0.0026855958 0.0028000285 0.0026534116 0.0026766558 0.0039944216 0.0028947934 0.002728508 0.0026426835 0.002715992 0.003677943 0.0029162494 0.0032398799 0.0047668433 0.0032309399 0.003391861 0.0029019453 0.0027857246 0.002860821 0.0026641395 0.002862609 0.0032273638 0.0027839364 0.0030861108 0.0029144615 0.003139751 0.002837577 0.002705264 0.0027410241 0.0028930053 0.0028357888 0.0026283793 0.0032005436 0.0028840653 0.0026319553 0.0026444714 0.0029752539 0.002730296 0.0030950508 0.0030682306 0.0026641395 0.0029287655 0.0030735945 0.0036064226 0.0027016879 0.0043198396 0.003143327 0.0029108855 0.0027803604 0.0029591618 0.0026820197 0.0028393648 0.0029234015 0.0028858532 0.0029251894 0.003640395 0.003661851 0.003388285 0.0027857246 0.002989558 0.0026551995 0.0029430697 0.002860821 0.0029126734 0.0027410241 0.0026820197 0.0026802318 0.0027946646 0.0033686168 0.003139751 0.0034258333 0.0026337435 0.0030235304 0.0030682306 0.0036278786 0.0026480474 0.0027893006 0.002846517 0.0029019453 0.0027231441 0.0034222573 0.0076920325 0.0033650408 0.0028018167 0.002696324 0.0028965813 0.0028018167 0.002859033 0.0026695037 0.002705264 0.0027481762 0.0027857246 0.0025908311 0.0026158632 0.0026784437 0.0027499641 0.0028053927 0.0027732083 0.0026605637 0.0026104993 0.0027463883 0.0026945358 0.0029251894 0.0026444714 0.0030878987 0.0027714204 0.0029502218 0.0026623516 0.0025050065 0.0027070518 0.0026748676 0.0027642683 0.0029180376 0.0026462595 0.0025908311 0.002585467 0.0025354028 0.0028804892 0.0029001574 0.0026319553 0.002855457 0.0026945358 0.0028036046 0.0026248032 0.00271778 0.002869761 0.002844729 0.0026033472 0.0026891718 0.002721356 0.0025175225 0.0026248032 0.002581891 0.0031594192 0.0030002862 0.0027428123 0.0028107567 0.002846517 0.0027320841 0.002580103 0.003694035 0.0029144615 0.002705264 0.0026444714 0.002714204 0.0028036046 0.00270884 0.0025300386 0.0027946646 0.00296989 0.0075328993 0.0078726215 0.0076848804 0.0028876413 0.0031933915 0.002572951 0.0028733371 0.0028679732 0.0026176514 0.0028053927 0.0028232727 0.003120083 0.0027553283 0.0025514949 0.0027785725 0.0030485624 0.0027356602 0.002977042 0.0028876413 0.0027392362 0.0028804892 0.0025997711 0.0029090974 0.003926477 0.0027696325 0.002730296 0.0028393648 0.0026981118 0.002733872 0.0027749965 0.002712416 0.0028107567 0.017173866 0.002696324 0.0028036046 0.0026784437 0.0026820197 0.0029162494 0.0034472893 0.0031898154 0.002828637 0.002712416 0.0027535402 0.0033078243 0.0031951796 0.0033131884 0.00973752 0.012844036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008119804 0.0024727636 2.0606365e-05 1.2543004e-05 2.8669725e-05 9.855218e-06 2.9565654e-05 3.5837154e-05 0.0001397649 8.959289e-07 1.0751147e-05 6.271502e-06 1.7918577e-05 8.959289e-07 1.8814508e-05 8.421732e-05 0.0027540855 0.0006083357 1.0751147e-05 3.4941226e-05 4.5692374e-05 2.419008e-05 9.496846e-05 4.03168e-05 1.5230791e-05 1.7918578e-06 7.1674312e-06 1.1647076e-05 1.2543004e-05 0.011929293 2.6877867e-06 0.011929293 1.2543004e-05 1.7918578e-06 5.3755734e-06 5.3755734e-06 4.4796443e-06 3.5837156e-06 4.4796443e-06 5.3755734e-06 8.959289e-07 3.5837156e-06 4.4796443e-06 2.6877867e-06 5.3755734e-06 0.0008842818 6.271502e-06 0.0008842818 0.0013967531 6.898653e-05 0.0 1.9710436e-05 7.257024e-05 0.000118262615 0.0002203985 0.000115574825 1.7918578e-06 2.6877867e-06 9.855218e-06 2.6877867e-06 8.959289e-07 0.00082067086 8.959289e-07 0.00081798306 0.008278383 0.0010598839 3.225344e-05 0.00016395499 0.00075437216 0.00032701404 0.0010070241 0.00081798306 0.0021744194 1.2543004e-05 1.1647076e-05 2.0606365e-05 2.5086008e-05 0.00038076978 0.00033866114 0.00110916 0.0044411197 0.0005581637 0.00021323108 0.00010661554 0.00050709577 0.00015947534 0.00042198252 0.00023383745 5.5547593e-05 5.823538e-05 5.823538e-05 5.823538e-05 4.4796445e-05 3.135751e-05 0.00016843464 0.0002230863 0.0034457427 0.00016305906 6.719467e-05 0.00015947534 0.00037360235 0.00023742116 0.00075437216 0.0005563719 0.0008341098 6.271502e-05 5.1067946e-05 5.644352e-05 6.988245e-05 4.03168e-05 0.00014782826 0.00031984661 0.0077327625 0.0002203985 0.0002759461 0.0003467245 0.000806336 0.00031805475 0.00057608227 0.0010975129 0.0021493335 0.0003619553 0.00031536698 0.00027146644 0.0003476204 0.00025802752 0.00042556622 0.0010106078 0.008815045 0.000718535 0.00051963876 0.00041391916 0.0009783544 0.00044258888 0.00057339447 0.0008143994 0.00097477064 0.0004587156 0.00037718608 0.00046946673 0.0005393492 0.0004434848 0.00033597334 0.0014738031 0.0074111237 0.0010070241 0.000818879 0.0005948968 0.0019871702 0.0008789062 0.0011199111 0.0016037127 0.0016162557 0.0005429329 0.00073018204 0.00063969323 0.00069972046 0.0010804903 0.0011324541 0.0038247204 0.0076037487 0.0009765625 0.001763188 0.000667467 0.0018061927 0.00095237244 0.000970291 0.0015454773 0.0015230791 0.00075078843 0.0008251505 0.0007409332 0.0010984088 0.0011046804 0.0013842102 0.0038103857 0.0076655676 0.0016906179 0.0016601563 0.0023392704 0.0025157684 0.0019871702 0.0029449183 0.0014003369 0.002456637 0.0015714593 0.0017479573 0.0015015769 0.0022012973 0.0020606364 0.0020382383 0.0027505017 0.18363316 0.039919008 0.039824937 0.040021144 0.04039833 0.040701155 0.0397004 0.03966546 0.040881235 0.039898403 0.03953376 0.03981956 0.040328447 0.04091618 0.040004123 0.040075794 11338.0 10.419562 118137.0 0.01028467 0.009886826 0.009573631 0.009243505 0.009556701 0.009692137 0.011351228 0.0106232595 0.0106232595 0.010572471 0.01012384 0.0097175315 0.01008998 0.010039192 0.010310064 0.009776785 0.010564006 0.010259275 0.010572471 0.009920686 0.009988403 0.010039192 0.0105809355 0.010191557 0.01075023 0.010225416 0.010437035 0.010318529 0.010022262 0.010555541 0.010022262 0.010597865 0.011241186 0.010530147 0.010724836 0.010530147 0.010894132 0.010792554 0.010487824 0.0106232595 0.011131144 0.010572471 0.01094492 0.010564006 0.010479359 0.010987244 0.010335458 0.010809484 0.010707907 0.010555541 0.010936455 0.01076716 0.01076716 0.010919525 0.010496289 0.010758695 0.010665583 0.01076716 0.010386246 0.010657119 0.010851808 0.010699443 0.010242346 0.012273885 0.010801019 0.011698282 0.010758695 0.010242346 0.010987244 0.011029568 0.010369317 0.010665583 0.011181933 0.010470894 0.010013797 0.009920686 0.010631724 0.010056121 0.010183092 0.010614795 0.0102931345 0.009979938 0.01076716 0.01010691 0.0111565385 0.009649813 0.010521683 0.009641348 0.00992915 0.009599024 0.009463589 0.009852967 0.009793714 0.009336618 0.009709067 0.0099630095 6.5832233 1.0 0.0 0.0 3.0 559280.0 557056.0 0.0 0.0 63.0 0.0 1.0 1.0 0.0 0.0 1103496400.0 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 1.0 2.0 6.0 0.0 4.0 0.0 4.0 0.0 532480.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -532480.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0708394 0.0 5.336893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -532212.0 0.0 13228.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 -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 -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 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 534868.0 13228.0 540672.0 0.0 0.0 2224.0 557056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 352.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.08472949 0.003567966 0.0036261391 0.003655226 0.0042563505 0.0034225325 0.0036455304 0.0033740548 0.004644173 0.003567966 0.0032189258 0.0032964903 0.004401784 0.0033546635 0.0034225325 0.004314524 0.004459957 0.0032383169 0.0031122747 0.0032286213 0.003917006 0.0033740548 0.0033740548 0.0030541013 0.0042757415 0.0031413613 0.003277099 0.0032383169 0.004140004 0.0035291836 0.0031413613 0.0032092303 0.0041884817 0.0033546635 0.0033352724 0.0030637968 0.004459957 0.0033546635 0.0031801434 0.0031122747 0.004052744 0.0032286213 0.0031219702 0.003635835 0.0041981773 0.0035582704 0.0032383169 0.0028504946 0.0042175683 0.003364359 0.0031219702 0.0034419235 0.0039751795 0.0034904014 0.003189839 0.003500097 0.004004266 0.0034904014 0.0030250147 0.0028989722 0.004314524 0.003257708 0.0032189258 0.0031413613 0.004266046 0.0030637968 0.0037133992 0.003102579 0.0043436107 0.003606748 0.003538879 0.0032286213 0.0042563505 0.0033740548 0.0031219702 0.0038006592 0.004440566 0.0031801434 0.0030734923 0.003277099 0.0043920884 0.003364359 0.0032964903 0.0031801434 0.004285437 0.0032189258 0.003102579 0.0032092303 0.004140004 0.003189839 0.003325577 0.003364359 0.0041496996 0.003015319 0.0029280588 0.003480706 0.0037521815 0.0032964903 0.0032480124 0.0032964903 0.004469653 0.0036261391 0.0030444057 0.0031122747 0.0045859995 0.003674617 0.0036843126 0.0033352724 0.0041981773 0.003325577 0.0032286213 0.003277099 0.0043920884 0.0028698856 0.0030056234 0.0033352724 0.0047411285 0.0030831879 0.003277099 0.0032286213 0.0046829553 0.0028020167 0.003189839 0.003364359 0.004120613 0.0034613148 0.0032674035 0.003170448 0.0040139616 0.0043920884 0.0031510568 0.0035582704 0.0045084353 0.003587357 0.003189839 0.0036261391 0.004537522 0.003635835 0.0033934459 0.0036649215 0.0043920884 0.0038685282 0.0031122747 0.0030541013 0.0043436107 0.003325577 0.0033837503 0.0034904014 0.004227264 0.003519488 0.0031219702 0.003606748 0.0041496996 0.0032480124 0.0031413613 0.003364359 0.004459957 0.0033837503 0.003325577 0.0032867948 0.0042369594 0.0031316658 0.0030347102 0.003364359 0.004227264 0.003432228 0.0029959278 0.0031510568 0.0043920884 0.0031219702 0.0033934459 0.0029474501 0.0041012214 0.0031316658 0.0033934459 0.003635835 0.004159395 0.003451619 0.0033934459 0.0035776615 0.0039945706 0.003538879 0.0033740548 0.0037521815 0.0042369594 0.0032189258 0.003277099 0.0035291836 0.0045859995 0.003412837 0.0037037036 0.0034031414 0.0047799107 0.0036455304 0.0033934459 0.0039073103 0.004120613 0.0035485749 0.0038200505 0.0039073103 0.004246655 0.003325577 0.0033352724 0.003432228 0.004159395 0.0032964903 0.003432228 0.003277099 0.0043533063 0.003674617 0.0036164436 0.003412837 0.004072135 0.0034904014 0.003412837 0.0035485749 0.004459957 0.0034613148 0.003364359 0.0034419235 0.004401784 0.003500097 0.003189839 0.003257708 0.004266046 0.0029474501 0.0034225325 0.0034419235 0.0042369594 0.0033061858 0.0031219702 0.0033352724 0.003917006 0.0032674035 0.0036455304 0.0035582704 0.0040139616 0.003674617 0.0033740548 0.003655226 0.0039751795 0.0031607524 0.0037715726 0.0036455304 0.0044793487 0.0034613148 0.0037909637 0.003655226 0.004110917 0.003412837 0.003519488 0.0032867948 0.004207873 0.0029959278 0.0035970525 0.004120613 0.05050505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007378472 0.00014796402 0.00020714963 0.00020714963 0.00017262468 0.00018248895 0.00017262468 0.00019235323 0.00018742109 0.00017755682 0.00015782828 0.00017755682 0.00019235323 0.00021701389 0.00017755682 0.00015289614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004986387 0.00034524937 0.00022194603 0.00019728535 0.00025153882 0.00022687815 0.00033045295 0.00029592804 0.00061651674 0.00014303188 0.00020714963 0.00028113162 0.00063131313 0.0003057923 0.00030086018 0.0007595486 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005716343 0.0011639836 0.0012626263 0.0011343908 0.0012724905 0.0010258838 0.001326744 0.0012626263 0.0032305478 0.0009617661 0.0011343908 0.0014303188 0.0025943024 0.0019333964 0.0017706361 0.0030825837 0.057770085 0.054855194 0.05517085 0.055042613 0.05658637 0.055111665 0.056152344 0.055106733 0.056689948 0.05706972 0.055146188 0.05773556 0.05722755 0.057217684 0.055900805 0.0562066 427.0 5.676815 2424.0 0.011138614 0.0094884485 0.0057755774 0.0057755774 0.0140264025 0.015676567 0.0094884485 0.0074257427 0.011551155 0.010726073 0.012376238 0.010313531 0.014438944 0.008250825 0.008663367 0.0057755774 0.011963696 0.008250825 0.008250825 0.015264027 0.011138614 0.011138614 0.004950495 0.0094884485 0.01608911 0.007838284 0.009075908 0.011551155 0.012376238 0.008663367 0.011138614 0.0057755774 0.00990099 0.00990099 0.00990099 0.010726073 0.013613861 0.012376238 0.0094884485 0.00990099 0.013201321 0.009075908 0.00990099 0.010726073 0.013613861 0.0094884485 0.012788779 0.011138614 0.014438944 0.0074257427 0.012376238 0.009075908 0.012788779 0.0094884485 0.0074257427 0.008663367 0.014438944 0.008663367 0.0074257427 0.0074257427 0.012788779 0.00990099 0.009075908 0.010726073 0.010726073 0.0094884485 0.0066006603 0.009075908 0.013201321 0.00990099 0.009075908 0.010726073 0.01650165 0.010313531 0.007838284 0.009075908 0.013613861 0.011963696 0.0094884485 0.012788779 0.0140264025 0.009075908 0.010313531 0.012788779 0.012376238 0.0070132012 0.00990099 0.012376238 0.0140264025 0.007838284 0.0094884485 0.010726073 0.008250825 0.010313531 0.00990099 0.0094884485 6.5445585 0.0 0.0 0.0 2.0 103140.0 86016.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1013346940.0 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 0.0 512.0 512.0 4096.0 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 -78336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9882345 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 4192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.017427623 0.0044470485 0.004822644 0.0045522153 0.003695858 0.004432025 0.003605715 0.0038911675 0.0037259057 0.0038761436 0.003680834 0.003966287 0.003605715 0.0038310722 0.003695858 0.005078049 0.003770977 0.0040263818 0.003770977 0.0037259057 0.003786001 0.003921215 0.0038911675 0.0037259057 0.0038761436 0.0039512627 0.003695858 0.0035155723 0.0037559532 0.003695858 0.0034855246 0.0037559532 0.004101501 0.0036658102 0.003846096 0.0038010245 0.004071453 0.0034554768 0.0039061913 0.0035606436 0.0037559532 0.0039813104 0.003786001 0.004011358 0.0039061913 0.003680834 0.0037259057 0.0036207389 0.0034404532 0.00417662 0.0037259057 0.0038010245 0.0033653341 0.0044470485 0.003605715 0.003605715 0.004011358 0.0035606436 0.003921215 0.0042066677 0.0038761436 0.004101501 0.0038310722 0.0038160484 0.003530596 0.0039512627 0.003605715 0.003695858 0.003680834 0.0039512627 0.0037559532 0.003966287 0.004011358 0.0033503103 0.0037409293 0.003846096 0.0037259057 0.004326858 0.003530596 0.0036507866 0.0033803578 0.004401977 0.0039061913 0.0034104055 0.003605715 0.003966287 0.004011358 0.003680834 0.0035906911 0.003936239 0.0037559532 0.0039512627 0.003770977 0.00386112 0.003530596 0.003770977 0.0033953816 0.004011358 0.0036658102 0.003786001 0.0035906911 0.0035606436 0.0037108818 0.0035155723 0.0038160484 0.0036207389 0.0035456198 0.0035005484 0.0037409293 0.0034104055 0.00417662 0.004011358 0.0040564295 0.003846096 0.003966287 0.0041315486 0.004041406 0.003921215 0.0037108818 0.0036507866 0.003786001 0.0037559532 0.003786001 0.004011358 0.00386112 0.0035756675 0.0036658102 0.0035606436 0.004356906 0.005288382 0.0037259057 0.0035756675 0.0038761436 0.004011358 0.0039813104 0.0036357627 0.003996334 0.00417662 0.004041406 0.0041615963 0.003936239 0.0041615963 0.0037108818 0.0038911675 0.0038010245 0.0042066677 0.0038911675 0.0035906911 0.003936239 0.004101501 0.0040564295 0.0039061913 0.003605715 0.0037259057 0.003846096 0.003936239 0.00386112 0.0037108818 0.0039813104 0.0033803578 0.0035456198 0.0035906911 0.0038160484 0.0038310722 0.004041406 0.003680834 0.003680834 0.0039512627 0.0035155723 0.003921215 0.0037259057 0.0036507866 0.0038761436 0.0035005484 0.003680834 0.004011358 0.0034855246 0.0038160484 0.003846096 0.003770977 0.0037108818 0.003680834 0.0038010245 0.0039061913 0.0034554768 0.003786001 0.0037409293 0.0034104055 0.003200072 0.0033803578 0.0041165245 0.003966287 0.0039512627 0.0048677153 0.0038310722 0.003996334 0.003996334 0.0043418817 0.004251739 0.0042066677 0.0040263818 0.0038761436 0.004251739 0.0043719294 0.003921215 0.0037259057 0.0035155723 0.0042066677 0.0035005484 0.0034855246 0.0034705007 0.003680834 0.003680834 0.0039813104 0.003936239 0.004657382 0.003846096 0.0034404532 0.004011358 0.003530596 0.0039813104 0.0036507866 0.0040263818 0.0039813104 0.004251739 0.00417662 0.003680834 0.0041315486 0.0036357627 0.0036658102 0.003770977 0.003936239 0.0037559532 0.0039061913 0.003921215 0.0042968104 0.0038911675 0.0038761436 0.003770977 0.003966287 0.0041916436 0.003695858 0.0038160484 0.0037409293 0.0035756675 0.003305239 0.0042066677 0.00417662 0.003770977 0.003680834 0.0038911675 0.004326858 0.003921215 0.0042367154 0.004146572 0.005032977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0072021484 0.000579834 0.00038146973 0.00038146973 0.0005569458 0.00039672852 0.00063323975 0.0005493164 0.0010910034 0.00018310547 0.000289917 0.00037384033 0.0008773804 0.00063323975 0.0004348755 0.0010604858 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006454468 0.0010147095 0.00093078613 0.0013046265 0.0011291504 0.0010528564 0.0010910034 0.0012207031 0.0035934448 0.00061035156 0.0011291504 0.0014724731 0.0032806396 0.0018386841 0.0016937256 0.0034332275 0.059936523 0.059020996 0.059814453 0.06021881 0.05883789 0.059425354 0.057403564 0.059822083 0.060081482 0.06121826 0.05895996 0.0575943 0.061546326 0.05873871 0.060935974 0.059570312 273.0 5.7875457 1580.0 0.015822785 0.013924051 0.008860759 0.012658228 0.010126582 0.010126582 0.008227848 0.008227848 0.012658228 0.008860759 0.008227848 0.012658228 0.00949367 0.0044303797 0.00949367 0.0044303797 0.008860759 0.00949367 0.013924051 0.013291139 0.0069620255 0.010126582 0.010759493 0.008860759 0.012025316 0.008860759 0.008227848 0.00949367 0.011392405 0.008860759 0.013924051 0.0069620255 0.013291139 0.0069620255 0.010126582 0.008227848 0.010126582 0.012658228 0.008860759 0.008860759 0.010126582 0.0075949365 0.008860759 0.006329114 0.012025316 0.013291139 0.008227848 0.0056962026 0.00949367 0.011392405 0.011392405 0.01835443 0.010759493 0.0075949365 0.010126582 0.0075949365 0.010759493 0.0075949365 0.012025316 0.017721519 0.006329114 0.012025316 0.008860759 0.010759493 0.010126582 0.010126582 0.008860759 0.011392405 0.013924051 0.012025316 0.008227848 0.013291139 0.015822785 0.010126582 0.008227848 0.0075949365 0.015189873 0.00949367 0.012658228 0.014556962 0.013291139 0.010759493 0.019620253 0.012658228 0.013924051 0.013291139 0.006329114 0.010759493 0.012025316 0.00949367 0.010759493 0.011392405 0.008227848 0.006329114 0.0075949365 0.0075949365 6.531138 0.0 0.0 0.0 2.0 66561.0 73728.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1288916700.0 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 0.0 512.0 512.0 4096.0 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 -66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9876122 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 4240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.18135165 0.015657108 0.009185445 0.009478857 0.006973232 0.010338054 0.007080632 0.0063908375 0.011017884 0.008921928 0.0038575325 0.0054308833 0.004855132 0.0037545618 0.0022088913 0.016098887 0.008807885 0.00317106 0.0011858259 0.0010906055 0.0011160715 0.0046569407 0.0010441025 0.0008625195 0.0037224526 0.003041516 0.000777264 0.0006100748 0.0012079702 0.00059235934 0.0007340827 0.00077837124 0.009174373 0.00060121703 0.0018191522 0.0007971939 0.019794768 0.000663221 0.00071526004 0.00062779017 0.0039505386 0.0007362971 0.00063332624 0.0020693825 0.0009344884 0.00063111185 0.0010186366 0.0006610066 0.006459485 0.0005502852 0.0015656002 0.005020107 0.0013751595 0.00058350165 0.00058682327 0.00052039046 0.003569657 0.0021457803 0.00071526004 0.0068292944 0.0010739974 0.00052924815 0.0005159616 0.0011227147 0.0089684315 0.0091444785 0.0013452647 0.002067168 0.010394522 0.007733888 0.0008713772 0.0011636816 0.07550201 0.009954958 0.0006288974 0.0017117524 0.013305387 0.006441769 0.0007340827 0.0009732409 0.004084511 0.0007052951 0.000978777 0.0017372184 0.0022243923 0.0027314962 0.0013939821 0.0031101634 0.002637383 0.0006133964 0.0003808815 0.0014426995 0.0024635505 0.0015622786 0.0013286564 0.0021612812 0.0031920972 0.0017228245 0.00052039046 0.0018833706 0.0019974136 0.0026639563 0.0058449814 0.00090570084 0.001927659 0.0015622786 0.0003221992 0.00052924815 0.0017482905 0.0007739424 0.0013707306 0.0015102396 0.0038863202 0.0004960318 0.002232143 0.003988184 0.00846797 0.0067052864 0.0006776148 0.0014681654 0.0024945524 0.00077837124 0.00044731435 0.0011625744 0.0015866372 0.0011526095 0.00076287024 0.002471301 0.0055615343 0.0019055149 0.00043402778 0.011407623 0.004848489 0.0057995855 0.0011880404 0.0009444533 0.0021944975 0.016243933 0.0027171024 0.03488277 0.000978777 0.018462788 0.0007960867 0.00048717402 0.0053323414 0.00032662804 0.0003775599 0.0014814519 0.00041409794 0.000694223 0.00026794572 0.00044731435 0.0011083209 0.0003775599 0.0008558762 0.00030226936 0.00097434805 0.0007551198 0.00033327134 0.00047499468 0.0018667623 0.00074072595 0.00057353673 0.0006355407 0.0005248193 0.0006122892 0.00043845663 0.00054474914 0.0015113468 0.00045617204 0.00077615684 0.000518176 0.00054807076 0.00042517006 0.00045727927 0.00068204367 0.0015345982 0.00033437854 0.00044509993 0.00038198874 0.00043402778 0.00046392254 0.00068425806 0.0018313315 0.002647348 0.0015035962 0.0007340827 0.0005082111 0.0005569285 0.00051153277 0.0005691078 0.0006731859 0.007658597 0.0048872414 0.0023705445 0.0048285592 0.0046569407 0.0008370536 0.0026916366 0.005073253 0.0027868568 0.0036814855 0.0011681105 0.0022542872 0.034463134 0.00078612176 0.0017482905 0.0016807504 0.003082483 0.0012622237 0.0027027086 0.0007894434 0.00047942353 0.0006034315 0.0011747538 0.001341943 0.001787043 0.0013895532 0.0010507458 0.0023428642 0.0006156108 0.0005347842 0.00056135736 0.00091566576 0.002066061 0.0004683514 0.0004107763 0.0011991125 0.0005281409 0.00060232426 0.0007041879 0.00051042554 0.015007175 0.0026329542 0.0009887419 0.0033736802 0.0032397073 0.0009267379 0.00066543545 0.000564679 0.0035142964 0.0007983011 0.0009987068 0.0018612263 0.0004594937 0.000533677 0.001974162 0.0015711363 0.0026661707 0.001548992 0.0019963062 0.00087691325 0.0010042428 0.0011791826 0.0036482692 0.029031144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018871711 7.371329e-05 8.202682e-05 2.327788e-05 8.313528e-06 2.0506704e-05 6.0965876e-06 5.5423525e-06 1.274741e-05 6.096588e-05 2.6603291e-05 1.3301646e-05 1.274741e-05 9.4219995e-06 8.867764e-06 1.8843999e-05 0.033489663 0.0013528882 0.0017602511 0.00038131385 0.00032810727 0.00038186807 0.00022945339 0.00024330927 0.00024608045 0.0012542343 0.0006772755 0.00027600914 0.00039683245 0.00038907313 0.0002532855 0.0003380835 0.0055002305 0.00012414869 0.00019287386 0.00025439396 0.000115835166 0.0001069674 0.000647901 0.00034085466 0.00024608045 4.3784585e-05 4.655576e-05 3.6579528e-05 3.4362583e-05 3.9350703e-05 4.655576e-05 0.00016904176 0.028872332 0.0007875683 0.0013018986 0.0006800466 0.0012237515 0.0008856679 0.0049969847 0.0028493234 0.002377115 0.00048329314 0.00026714138 0.00021504327 0.0003225649 0.00017735528 0.00028044303 0.00081749697 0.03635617 0.002216941 0.0013706237 0.0012858257 0.001005937 0.0010613605 0.003230083 0.0021116363 0.0014410117 0.0005032456 0.0006445756 0.0007920022 0.00073547015 0.00046888302 0.00084520876 0.0038197893 0.037466303 0.0029784602 0.0019403776 0.001877749 0.0014011067 0.0016665853 0.0031469478 0.002172602 0.0014786996 0.00076817005 0.00072715664 0.00076373614 0.0012775123 0.00086405274 0.0011106874 0.0061941333 0.011376787 0.0012176548 0.0007520972 0.0006041164 0.00049160665 0.000581947 0.00052153534 0.0005154388 0.0005220896 0.00044726784 0.00047054572 0.0003680122 0.00069390255 0.00038741043 0.00037965114 0.0022363393 0.01199088 0.0009183678 0.0007925564 0.0007260482 0.0008036411 0.0008568477 0.0008557392 0.0007593023 0.00070387876 0.0011771957 0.00269968 0.0008069665 0.00080918346 0.00072549394 0.0007709412 0.0007099754 0.0048944512 0.0007027703 0.00093610334 0.0009250186 0.0044632563 0.0007193973 0.00047109995 0.00076318195 0.0035919987 0.00024996008 0.00013745033 0.00030094973 0.0049908883 0.00038242232 0.0011755329 0.0014022152 0.12919833 0.022834493 0.035339702 0.026168771 0.14026253 0.023030138 0.014053743 0.028684445 0.09756757 0.009494604 0.005393263 0.010037755 0.07163324 0.016960153 0.028762592 0.037513968 0.0012592225 0.00021116363 0.00038242232 0.00025827362 0.0009865387 0.00025993632 0.0003064921 0.00035138516 0.00077592937 3.380835e-05 3.2699878e-05 0.00020395857 0.00074045826 0.0002405381 0.00028044303 0.00048717277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2686.0 7.0692477 18988.0 0.014377502 0.0032652202 0.0021592586 0.0015799452 0.059985254 0.0005266484 0.002317253 0.00036865388 0.015746787 0.0016326101 0.0008953023 0.002001264 0.00057931326 0.00015799452 0.0042658523 0.00073730777 0.009532336 0.0009479671 0.0014219508 0.007057089 0.00057931326 0.00057931326 0.0008953023 0.00047398356 0.012376238 0.011217611 0.0012112913 0.039867286 0.00073730777 0.00047398356 0.0012112913 0.0013692859 0.024857804 0.10938487 0.0018432694 0.0041605225 0.057036024 0.010954287 0.0022119232 0.0017379398 0.07304613 0.008584369 0.00021065936 0.00073730777 0.014640826 0.0014219508 0.0009479671 0.001000632 0.009637666 0.00073730777 0.0027912366 0.011270276 0.012428902 0.026753739 0.037708025 0.03623341 0.006003792 0.00047398356 0.0011586265 0.0071097533 0.011480935 0.021961238 0.031072257 0.035654098 0.004687171 0.0111649465 0.0019485991 0.008637034 0.005951127 0.015641458 0.03449547 0.003001896 0.003949863 0.00990099 0.0005266484 0.00073730777 0.008900358 0.0030545609 0.008005056 0.0077417316 0.007267748 0.0002633242 0.008426375 0.009953655 0.027385717 0.02164525 0.0011586265 0.0014219508 0.0057404675 0.0014746155 0.00068464293 0.0002633242 0.0017379398 0.00010532968 0.00015799452 0.01816937 5.351906 0.0 0.0 0.0 2.0 903168.0 917504.0 1.0 2.0 120.0 1.0 1.0 0.0 1.0 0.0 525227360.0 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 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 15.0 10.0 0.0 6.0 2.0 659456.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 203264.0 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 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -659456.0 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 -5.422648 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.490819 0.0 0.0 0.0 0.0 5.9957237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9685411 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3903165 0.0 3.4034703 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 202874.0 0.0 0.0 0.0 0.0 28404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -659068.0 0.0 1336.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108.0 862960.0 140.0 863068.0 1336.0 909312.0 28404.0 880640.0 0.0 0.0 3712.0 913408.0 84.0 759328.0 0.0 0.0 0.0 0.0 40.0 677480.0 264.0 677216.0 0.0 0.0 1016.0 677520.0 0.0 0.0 0.0 0.0


Input: 0.13763478 0.010218862 0.0054217945 0.004852044 0.010559547 0.0045338497 0.0036267466 0.0027371359 0.010795277 0.0026313488 0.0028195998 0.0028054393 0.0067836987 0.003833323 0.0023931197 0.0037708504 0.0050827763 0.0022090336 0.0025305594 0.001795048 0.0033093854 0.0032260886 0.0023764602 0.0017933821 0.0027021512 0.0026904896 0.0016975907 0.002141563 0.0038241602 0.0021982049 0.0018591866 0.0017600633 0.0050819432 0.0024289372 0.002679661 0.0025855354 0.0037192062 0.0020840883 0.0018808438 0.0023173194 0.0022840009 0.001822536 0.0022864996 0.0019241582 0.002549718 0.0016584411 0.0020824224 0.0015368277 0.0035909289 0.0023997833 0.0019133296 0.0036267466 0.0020424398 0.0024314362 0.001634285 0.0016101289 0.0028021075 0.0027912788 0.0015943025 0.0043797507 0.002139897 0.0019074988 0.001849191 0.0018042107 0.004576331 0.0067328876 0.003562608 0.0034618187 0.0034484912 0.012446222 0.004580496 0.008872785 0.0051319213 0.0050652837 0.0026146893 0.0028320942 0.0028254306 0.009501676 0.002920389 0.0022840009 0.009442535 0.0039832573 0.0028837384 0.0050561214 0.0023414756 0.0035801004 0.005304346 0.0041215303 0.0027696216 0.003485142 0.0016501114 0.0023631328 0.0023164866 0.0033043877 0.0036375753 0.003211928 0.0025330584 0.0028695778 0.0016909268 0.0022673414 0.0034351638 0.0064263553 0.0034951374 0.001985798 0.00448054 0.0032077632 0.0046987776 0.0016634389 0.0031994337 0.0019066659 0.0032502448 0.0046121487 0.0038341559 0.0018050437 0.0038708064 0.0031119718 0.008584578 0.0095225 0.002304825 0.0018833427 0.0027504633 0.0022331895 0.0024297703 0.0022023697 0.0021357322 0.004126528 0.0020266133 0.0018975032 0.0049736574 0.0021857105 0.0017359072 0.007688303 0.0028220986 0.0056117116 0.0018300327 0.0017025884 0.0028245975 0.009794048 0.0019974594 0.022999104 0.0018666834 0.014725224 0.002680494 0.0026188542 0.0027529623 0.0022098664 0.0015834739 0.0022090336 0.0018808438 0.0015160034 0.00139439 0.0022981612 0.0018300327 0.001687595 0.0015235002 0.0013777306 0.0018008788 0.0015201683 0.0016409487 0.0022398534 0.0019249911 0.0016467795 0.0013585723 0.0014210449 0.0018125403 0.0020424398 0.0013835614 0.0015643156 0.0018783449 0.0014477 0.001743404 0.0015185024 0.0017808875 0.0013852273 0.001419379 0.0014868495 0.002192374 0.0014143812 0.0013710668 0.0014452011 0.0017300764 0.0017492347 0.0016409487 0.0013743987 0.004498865 0.001606797 0.0015176693 0.001475188 0.002146561 0.0023689636 0.0017917161 0.0017550655 0.0055833906 0.0035242916 0.0031053082 0.004742925 0.0028237647 0.001286104 0.004971158 0.0036808895 0.0027646238 0.0031269654 0.0014926803 0.0021407302 0.0044880365 0.0014776868 0.0024639221 0.0022948293 0.0039932528 0.0019499803 0.0023764602 0.0016101289 0.002467254 0.002387289 0.0017109181 0.00166094 0.0027787844 0.0017800545 0.0014968452 0.0021607215 0.002943712 0.0017292434 0.0019516462 0.0016284542 0.0028804066 0.0015734782 0.0024505944 0.0033185482 0.0026963204 0.0017650612 0.0014818517 0.0014310406 0.014121322 0.0072493283 0.0015484892 0.0040065804 0.005026134 0.0022165303 0.0014368714 0.0015318298 0.005247704 0.0032635722 0.0018891735 0.0021832115 0.003400179 0.0014477 0.0023914538 0.0024455967 0.0036625643 0.003430166 0.002306491 0.002680494 0.008309698 0.0026704983 0.004369755 0.056756 0.011101622 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032636868 8.756539e-06 9.173516e-06 2.08489e-06 1.70961e-05 5.8376922e-06 3.1690328e-05 3.1690328e-05 6.25467e-06 4.586758e-06 3.752802e-06 5.003736e-06 8.33956e-06 3.335824e-06 2.501868e-06 1.2092362e-05 0.0015661694 8.33956e-06 4.586758e-06 1.250934e-06 1.5428186e-05 1.1258407e-05 3.752802e-05 1.7930055e-05 7.0886263e-06 3.335824e-06 7.922582e-06 2.9188461e-06 5.8376922e-06 6.25467e-06 3.752802e-06 8.33956e-06 0.00074847555 1.667912e-06 4.586758e-06 1.250934e-06 7.505604e-06 5.420714e-06 5.8376922e-06 2.2516813e-05 2.7103571e-05 4.16978e-06 2.9188461e-06 3.752802e-06 2.9188461e-06 4.16978e-07 1.250934e-06 1.41772525e-05 0.00074305484 9.173516e-06 8.756539e-06 1.250934e-06 7.0886263e-06 4.586758e-06 1.667912e-05 1.16753845e-05 1.3343296e-05 9.590494e-06 2.08489e-06 5.003736e-06 1.0007472e-05 3.752802e-06 4.16978e-06 3.752802e-06 0.0019656343 2.08489e-05 0.00012551039 3.2107306e-05 2.8771483e-05 2.0431922e-05 0.00014552532 7.714093e-05 3.2107306e-05 1.459423e-05 1.7930055e-05 1.459423e-05 2.1265878e-05 1.667912e-05 1.2092362e-05 1.667912e-05 0.0014369062 3.3775217e-05 4.836945e-05 1.3343296e-05 0.00056750706 0.000120506644 6.379763e-05 6.129577e-05 3.6277088e-05 4.586758e-06 1.2092362e-05 9.173516e-06 1.042445e-05 1.2092362e-05 1.667912e-05 0.00011508593 0.025198398 0.00092068745 0.0009140158 0.00031023164 0.00305353 0.0004403288 0.00037528021 0.00032857867 0.00049411895 0.0009598834 0.0002485189 0.00041947988 0.0003473427 0.000265198 0.00023017186 0.0030689582 0.021180399 0.0010203451 0.0009990793 0.0006108728 0.0033041337 0.0007172022 0.0012968016 0.0008748199 0.000512049 0.0005996144 0.00044283064 0.0003131505 0.00022141532 0.00060795393 0.00027061874 0.0063113794 0.015157567 0.0011262576 0.0016895949 0.00074013596 0.0025331415 0.0014702645 0.0043399073 0.00220081 0.0006675818 0.00028396203 0.00037486324 0.00019889852 0.00019681362 0.00024518307 0.00020682109 0.007850862 0.015336868 0.001081641 0.0018530503 0.0009194365 0.0033758539 0.0013351636 0.0042410833 0.0024810191 0.0011633687 0.0005462412 0.00043365714 0.00045242114 0.0004190629 0.00048577937 0.00038570465 0.0056262845 0.007622358 0.0006025332 0.0010153415 0.0006955193 0.0042385813 0.0012738678 0.0038399505 0.0023617635 0.00070677773 0.0003848707 0.0003940442 0.00036318784 0.00042323268 0.0006425631 0.00033441637 0.002428063 0.002352173 0.0005270602 0.00043532506 0.00054499024 0.0026882573 0.0010486997 0.002617788 0.0017867507 0.0018743161 0.00032732773 0.00035568225 0.00052038854 0.0008568898 0.0003869556 0.0018663936 0.004868218 0.05264639 0.008512606 0.0060395095 0.0083775055 0.024090488 0.019047555 0.0087110875 0.01402714 0.037098534 0.0027595605 0.002580677 0.004987891 0.015156317 0.006084126 0.016784616 0.030995226 0.033733103 0.0066849915 0.004722276 0.0057526287 0.016413506 0.014848587 0.0062630097 0.009555051 0.024270622 0.0022220758 0.0023367447 0.0036197861 0.011593239 0.0052947868 0.011548206 0.0230372 0.020856824 0.020650418 0.021061976 0.020538252 0.020590791 0.019149298 0.019761005 0.020911865 0.021212922 0.021350525 0.018610146 0.019170146 0.020726725 0.02058954 0.0231035 0.022202829 5593.0 10.7715 60245.0 0.0223919 0.0019752677 0.0022574489 0.0071209227 0.0022574489 0.005145655 0.0026392231 0.002788613 0.0029048054 0.0021910532 0.012349573 0.0020250643 0.0039339364 0.0026226244 0.0075856918 0.0018258777 0.0069051376 0.0035355631 0.0046808864 0.0047638807 0.0035687608 0.007270313 0.002821811 0.0025562288 0.006075193 0.004448502 0.0028882064 0.0034359698 0.0020416633 0.0031537886 0.0019918666 0.0024234375 0.0043157106 0.07872853 0.00627438 0.010922068 0.0095111625 0.011901403 0.011918002 0.005344842 0.0054444354 0.018109387 0.0025230309 0.004149722 0.009295377 0.007652087 0.005909204 0.008216449 0.011685617 0.0065897587 0.018242178 0.026110051 0.01014192 0.005925803 0.008764213 0.008116856 0.0024898332 0.0028716077 0.00209146 0.0026226244 0.011088057 0.0025230309 0.002788613 0.009311976 0.0027720144 0.029446427 0.006506764 0.016532492 0.016980663 0.06895178 0.021561956 0.010507096 0.01118765 0.033214375 0.004133123 0.0040999255 0.026956594 0.008614823 0.03165408 0.034409493 0.018441364 0.0024400365 0.040733673 0.026491825 0.045265168 0.01985227 0.0068387417 0.005776413 0.008913603 0.008067059 0.0028384097 0.0018756744 0.0019752677 0.0021080587 0.0015436966 0.0031537886 5.8413105 2.0 0.0 0.0 12.0 1200525.0 1294336.0 0.0 0.0 258.0 0.0 1.0 0.0 0.0 0.0 1257482100.0 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 507904.0 4096.0 4096.0 7.0 1.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -913408.0 0.0 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2172422 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.258426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22.42718 0.0 5.54955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 90314.0 0.0 0.0 0.0 0.0 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 -131604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -913408.0 0.0 143360.0 0.0 0.0 0.0 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 1.0 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 3.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 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 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 -3.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 -1.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 1.0 -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 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 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 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 -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 1.0 -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 -1.0 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 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 2.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 596432.0 120088.0 741376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1196.0 512000.0 0.0 0.0 0.0 0.0


Input: 0.3539167 0.02142334 0.023367746 0.0075945174 0.0229405 0.0049787248 0.010716029 0.0058419365 0.0062081474 0.0038713727 0.019199917 0.0032435826 0.004839216 0.0025634766 0.0032697406 0.0023106167 0.0022147042 0.010829381 0.0059378487 0.0049700057 0.0025896344 0.0019356863 0.005353655 0.0035226005 0.002406529 0.0018746512 0.001839774 0.0014822824 0.001726423 0.0028773716 0.0013863699 0.002973284 0.0076032365 0.0017177036 0.003540039 0.0011422293 0.0012642996 0.0018048967 0.0017351423 0.0010637556 0.007385254 0.0015084402 0.0040108818 0.0017002651 0.0027378628 0.002040318 0.0018920898 0.0007672991 0.0037580219 0.0019008091 0.0015781948 0.002886091 0.0009852818 0.0013078962 0.0014474051 0.001020159 0.0013340542 0.0011509487 0.0012642996 0.0013166155 0.001159668 0.001159668 0.00080217636 0.0016305106 0.0013253348 0.002118792 0.0023542133 0.002598354 0.003060477 0.0014212473 0.0022495815 0.0013253348 0.0011858259 0.0018659319 0.0011771066 0.00072370254 0.0015956333 0.0026070732 0.00080217636 0.0014561245 0.0014561245 0.0015345982 0.0016653879 0.0030691964 0.0017787388 0.0010724749 0.0014910017 0.0012032645 0.0017002651 0.0021711078 0.001299177 0.0010288784 0.0010811941 0.0007672991 0.0008893694 0.0030081612 0.00091552734 0.009286063 0.0018310547 0.004612514 0.004952567 0.020211356 0.0038888115 0.0038800922 0.0030691964 0.009695871 0.00069754466 0.0020751953 0.0073242188 0.004359654 0.008379255 0.017281668 0.0057896203 0.00089808874 0.010253906 0.009861537 0.013706752 0.0049874443 0.0021972656 0.001839774 0.0030343193 0.0024850029 0.00096784317 0.012817383 0.00080217636 0.0043945312 0.0011160715 0.0007672991 0.004725865 0.00251988 0.0012032645 0.00035749163 0.0005841936 0.0004970006 0.0014910017 0.00048828125 0.0005493164 0.00050571986 0.0012817383 0.0004359654 0.0009852818 0.0010986328 0.0007847377 0.000906808 0.00052315847 0.00062779017 0.0007847377 0.0004272461 0.00047084264 0.0006365095 0.0006713867 0.0004446847 0.00047084264 0.0006365095 0.000453404 0.0006190709 0.00052315847 0.00036621094 0.0009852818 0.0005493164 0.000566755 0.00082833425 0.0011509487 0.00061035156 0.00068010605 0.00070626393 0.0008719308 0.0012904576 0.0012294224 0.00079345703 0.002912249 0.0007324219 0.0006452288 0.0012207031 0.0009591239 0.0007411412 0.0011858259 0.000906808 0.001020159 0.0017177036 0.00096784317 0.0005841936 0.0010986328 0.0013514927 0.0006626674 0.0007847377 0.0005318778 0.002912249 0.0009940012 0.0014299665 0.00071498327 0.00091552734 0.0013602121 0.0009852818 0.0007760184 0.00080217636 0.00080217636 0.0009416853 0.0006539481 0.0007760184 0.00059291295 0.0007760184 0.00050571986 0.0011160715 0.006391253 0.00052315847 0.00062779017 0.00047956195 0.001020159 0.0005405971 0.00040108818 0.00046212334 0.0004446847 0.0006713867 0.00034877233 0.00046212334 0.0006888253 0.00072370254 0.0004359654 0.000566755 0.00079345703 0.00055803574 0.001613072 0.0007324219 0.00082833425 0.00047956195 0.00039236885 0.0004185268 0.00082833425 0.0006452288 0.00062779017 0.00039236885 0.00061035156 0.0008719308 0.00046212334 0.0004098075 0.00048828125 0.00060163223 0.0004359654 0.0006539481 0.000906808 0.0007324219 0.0004185268 0.0006190709 0.00082833425 0.00089808874 0.00061035156 0.00061035156 0.00095040456 0.0008544922 0.00046212334 0.00068010605 0.0010811941 0.0013078962 0.001813616 0.039899554 0.07204568 0.0 8.797861e-06 8.797861e-06 8.797861e-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 0.008445946 5.2787163e-05 8.79786e-05 1.7595721e-05 7.918074e-05 2.199465e-05 0.0001319679 7.0382885e-05 8.797861e-06 4.3989303e-06 4.3989303e-06 2.6393582e-05 1.7595721e-05 4.3989303e-06 1.3196791e-05 2.199465e-05 0.02360026 0.0008621903 0.00044869087 0.00020674971 0.00015396255 9.237754e-05 0.0004222973 0.00043989302 0.00048828125 2.6393582e-05 3.5191442e-05 4.39893e-05 6.158502e-05 7.0382885e-05 4.39893e-05 3.079251e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.032921594 0.002208263 0.0022214598 0.0011217272 0.009092589 0.0058241836 0.050556906 0.02865903 0.00036951015 0.00021994651 0.00016715935 0.00017155828 0.0001319679 0.0002463401 0.000189154 0.0010337486 0.122725755 0.016108882 0.013438731 0.0050279773 0.0053403014 0.0064048423 0.026529947 0.024497641 0.002964879 0.0012712908 0.002151077 0.0018827422 0.0013724662 0.0021158855 0.00053666945 0.0018651464 0.105244406 0.017300993 0.01077298 0.0049883868 0.0036247184 0.0049004084 0.012919658 0.0129240565 0.0032508094 0.0015528223 0.0023578266 0.0027229378 0.0021070875 0.0019135346 0.0011789133 0.0014296523 0.050345756 0.009475295 0.0052347267 0.002841709 0.0019751196 0.0024458051 0.0036027238 0.0032200168 0.005736205 0.0015396256 0.0017991625 0.0021070875 0.0026173634 0.0015396256 0.0013152801 0.0033035965 0.034368843 0.002459002 0.004231771 0.00415259 0.0024502042 0.0015880138 0.0045440947 0.003088049 0.0019091357 0.0012229026 0.0034135699 0.0044385204 0.005863774 0.0011481207 0.0013900619 0.013821439 0.03198902 0.0039282446 0.0044473186 0.0046804617 0.0035015484 0.0025469805 0.002828512 0.0020630984 0.0024765977 0.0021686726 0.0034751548 0.0039854306 0.0035059473 0.0023490288 0.0031320383 0.022021044 0.010016364 0.001447248 0.0010865357 0.0015528223 0.0013284769 0.0011261262 0.0013284769 0.0012448973 0.0010337486 0.00087978604 0.0020411036 0.0018827422 0.002151077 0.00083579676 0.00106894 0.0070118946 0.00060705235 0.0005102759 0.00022434544 0.0003079251 0.00048388232 0.00047068554 0.00038710586 0.00032552084 0.0003343187 0.00038270693 0.0006334459 0.0006510417 0.00042669624 0.00032991977 0.00034751548 0.002586571 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1122.0 13.69697 15368.0 0.001887038 0.00039042166 0.0012363353 0.00052056223 0.0013014055 0.00039042166 0.0 6.507028e-05 6.507028e-05 0.00026028111 0.00019521083 0.00019521083 0.0008459136 0.000715773 0.00475013 0.00026028111 0.0045549194 0.0016267569 0.0013014055 0.0046199895 0.0008459136 0.0009109839 0.0011061947 0.0007808433 0.00039042166 0.00032535137 0.00045549194 0.002147319 0.001431546 0.0009760541 0.00065070274 0.0011061947 0.0008459136 0.006637168 0.010931807 0.011907861 0.013469547 0.0053357626 0.009955753 0.0027980218 0.003318584 0.007483082 0.000715773 0.0011061947 0.005205622 0.0117777195 0.001887038 0.0024726705 0.005661114 0.0022774597 0.0064419573 0.015942218 0.009370119 0.0020171786 0.0059864656 0.0039042165 0.0016267569 0.001431546 0.0010411245 0.00045549194 0.001431546 0.00026028111 0.0011712649 0.016657991 0.00032535137 0.05192608 0.006767309 0.02589797 0.025572618 0.12539043 0.018675169 0.02134305 0.013729828 0.05374805 0.0019521082 0.0044247787 0.038521603 0.023165017 0.050819885 0.048867777 0.02349037 0.0009109839 0.055635087 0.04515877 0.084070794 0.025052056 0.008979698 0.0069625196 0.014055179 0.010541385 0.0022123894 0.0018219678 0.00032535137 0.00045549194 0.0009109839 0.00045549194 5.110267 0.0 0.0 0.0 1.0 114688.0 131072.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1039587900.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 77824.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.15000464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5820365 0.0 5.3927627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -326.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 28672.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 83396.0 26560.0 90112.0 0.0 0.0 0.0 0.0 12.0 122880.0 28.0 47100.0 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