Input: 0.29887572 0.027153393 0.031059643 0.0065153227 0.030156918 0.009864238 0.030982126 0.0068013496 0.0066659404 0.0061066435 0.0402174 0.005418315 0.0035157232 0.0031821071 0.002577183 0.0020787215 0.003789975 0.0053751413 0.0019889397 0.0041064196 0.002166541 0.0020831372 0.005528703 0.0041800113 0.0023740698 0.0034593027 0.0030049963 0.0011122166 0.0010028102 0.0007025559 0.0010199816 0.0042589996 0.009391288 0.0025614835 0.0032615862 0.0034965894 0.00064515433 0.0026115258 0.003282192 0.0037355172 0.012493426 0.0008973287 0.004206995 0.002575711 0.0030731915 0.000799697 0.0013482008 0.0008286431 0.0021886185 0.0028720407 0.0012697029 0.0014885158 0.0012535128 0.0013153298 0.0007442579 0.0014737974 0.0011823741 0.0017245 0.00045283456 0.0020046392 0.0004126044 0.0010857236 0.00095374906 0.0012726466 0.001017038 0.003426432 0.0018971952 0.0025850327 0.0012093578 0.0023961472 0.0018162443 0.0020375103 0.002517819 0.0010984795 0.0007202179 0.0010793456 0.002428037 0.002237189 0.0012226042 0.0018010354 0.0015439548 0.0005534099 0.0014973468 0.002440793 0.0032709078 0.00305602 0.0015709385 0.001114179 0.0018535309 0.0011612778 0.0020424163 0.0009787702 0.00058186543 0.000639267 0.0005843185 0.0036575098 0.00090370665 0.006021277 0.0050174855 0.0024412835 0.0025168378 0.012348205 0.001480666 0.002371126 0.0036727188 0.0047231186 0.0014546636 0.0014271893 0.0049394784 0.0016955539 0.006143439 0.046189617 0.005040544 0.0009174438 0.009881409 0.009187194 0.008147588 0.004569066 0.00093608705 0.0014551542 0.0012780434 0.0009257842 0.001959503 0.004709381 0.0010410779 0.0028352449 0.00894385 0.0032458866 0.006421616 0.00190897 0.0005794124 0.0006770441 0.000395433 0.001278534 0.0020954025 0.00054163527 0.0013565412 0.00047294964 0.00068391266 0.00085023 0.00053280423 0.0011916957 0.00049453654 0.0006103209 0.00055193814 0.0005534099 0.0010047727 0.0006677225 0.0005774499 0.0006770441 0.00049404596 0.00045774068 0.00044155048 0.0006500604 0.0004911023 0.00039641422 0.00044056927 0.00046166556 0.00047049657 0.0009233311 0.0006799878 0.00086887326 0.0013462384 0.00046559045 0.001313858 0.0007550513 0.0010631555 0.00041015135 0.000951296 0.0005617503 0.0031011563 0.0035427068 0.00087672303 0.00055782543 0.00074720156 0.00056224095 0.0015405206 0.00034784366 0.0009979041 0.0006436825 0.0007290489 0.00085807976 0.00049993326 0.0016415867 0.001296196 0.0007663354 0.00072316156 0.0014968562 0.00049502717 0.00054899446 0.00063190784 0.0026046573 0.0034455657 0.0025300842 0.0020743061 0.00075848564 0.00056224095 0.0005916777 0.00087279815 0.0010003572 0.0010052633 0.0006024711 0.000944918 0.0023338397 0.00069715915 0.00038071466 0.00037629914 0.0005951119 0.0009051785 0.0004587219 0.00030221677 0.0013560506 0.0012863837 0.00047883697 0.0010538339 0.0007624105 0.0007236522 0.0007108963 0.0010214534 0.0003036886 0.0006584008 0.00093608705 0.0012947242 0.0014468138 0.0010857236 0.002032604 0.00038513014 0.00035127794 0.00065398536 0.0013663535 0.00052299205 0.0016038095 0.0004626468 0.00076486357 0.00058333727 0.00063387025 0.004349763 0.0006225862 0.0003826771 0.0007476922 0.0005190671 0.0011902238 0.00053525734 0.0005097455 0.00043222887 0.0010258689 0.00056322216 0.00052691693 0.0008992912 0.00033852205 0.00029289516 0.0006942155 0.00072512403 0.005024354 0.0029623131 0.013081179 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004359917 0.0 0.0 0.0 3.1913808e-06 0.0 0.0 0.0 3.1913808e-06 0.0 0.0 5.646289e-05 0.0 2.4549083e-06 1.472945e-06 0.0 0.0016914317 0.0 0.0 0.0 4.148795e-05 0.0 0.0 0.0 4.173344e-05 0.0 0.0 0.00016816122 0.0 1.6202395e-05 5.2044055e-05 0.0 0.017220445 2.4549083e-06 4.664326e-06 1.472945e-06 0.00096183305 9.819634e-07 2.4549084e-07 7.364725e-07 0.00096183305 0.0 2.4549084e-07 0.00077403255 2.4549083e-06 0.00025064615 0.0014368577 0.0 0.00038222922 1.7184358e-06 4.909817e-07 4.909817e-07 2.7494973e-05 9.819634e-07 0.0 4.909817e-07 2.7494973e-05 0.0 0.0 5.4007983e-06 0.0 2.4549084e-07 5.5726417e-05 0.0 0.0009937469 0.00021038564 2.1357702e-05 6.873743e-06 1.7184358e-06 2.2094175e-06 0.0 3.9278534e-06 0.00015220432 0.0 3.4368716e-06 9.819634e-07 9.819634e-07 2.5285555e-05 5.1553075e-06 8.003001e-05 0.039622463 0.0019474787 0.0029947425 0.0009812268 0.0014749089 0.0013062566 0.011223595 0.003824747 0.0006539876 0.000281087 0.00039204885 0.00027715915 0.00029017017 0.0014474139 0.00071585126 0.00044016505 0.16593167 0.012065383 0.014894665 0.0059553618 0.010287784 0.009012705 0.04833174 0.025650846 0.0036997923 0.0016607455 0.001957544 0.0020773434 0.0015316173 0.0025076887 0.0019695729 0.0026716767 0.16501427 0.019525604 0.017486311 0.0074761775 0.008881613 0.008598561 0.03235839 0.023950085 0.0064902864 0.0021463262 0.0042207236 0.0052564493 0.004271295 0.0035409597 0.004426936 0.00460639 0.07556649 0.008140231 0.012272823 0.0036629685 0.004949586 0.0030327938 0.006928733 0.0066974806 0.0036337553 0.0021829044 0.0048982785 0.003261591 0.0050973715 0.0025997479 0.0047227526 0.005695878 0.02575346 0.0028282998 0.0040795663 0.0013472537 0.0021313513 0.0016393877 0.0018603294 0.0020294727 0.0014407856 0.0010794231 0.0024716016 0.0015961813 0.0032473525 0.0014201644 0.0017061612 0.004192738 0.010206281 0.0006503052 0.0012068329 0.0011241025 0.00038959394 0.0017702343 0.00086731906 0.0015198337 0.0011162468 0.0010853149 0.0027320674 0.0010256607 0.0024254494 0.0011214021 0.0006198643 0.0073330565 0.008293416 0.0008003001 0.002207699 0.0011295032 0.00035129738 0.0011970133 0.0017456852 0.0013941424 0.0018821781 0.00083025 0.0011405504 0.0013325242 0.0019167924 0.0007755055 0.0008484163 0.0043206387 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8026.0 18.355843 147324.0 0.0045749503 5.4302083e-05 0.015713666 0.0012964623 0.00012896744 0.00014254297 1.3575521e-05 6.7877604e-06 0.0030409165 0.00013575521 1.3575521e-05 6.7877604e-06 0.001839483 0.00038690233 0.0046360404 0.00015611849 0.008328582 0.025406586 0.008796938 0.010554967 0.0062515275 0.0047242814 0.0029798269 0.0043238034 0.0012014336 0.001133556 0.00038690233 0.0021992344 0.00024435937 0.0016290625 0.00023757161 0.00065841276 0.0005022943 0.023058021 0.013202194 0.0058442615 0.0064144335 0.02127963 0.0034617577 0.0028983736 0.016935462 0.0032445495 0.0017173034 0.0056406287 0.02039722 0.016996551 0.0067809727 0.010439576 0.008579729 0.00035296354 0.004106595 0.0163042 0.026723413 0.0029866146 0.0072086016 0.0018869974 8.145312e-05 5.4302083e-05 0.009889767 0.0003054492 7.466536e-05 0.0 0.00012896744 0.03129836 1.3575521e-05 0.043143004 0.04548478 0.01427466 0.009937281 0.08389672 0.0074665365 0.014410415 0.024103336 0.028739378 0.009217778 0.0073443567 0.033864137 0.007738047 0.038907442 0.030979337 0.0061021964 0.00011539192 0.037767097 0.034502186 0.074835055 0.031644538 0.0045477995 0.006007168 0.00951644 0.003964052 0.00906166 1.3575521e-05 0.0021992344 6.7877604e-06 2.7151042e-05 0.000169694 5.4474554 1.0 1.0 0.0 1.0 2038272.0 2056192.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542185600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 4.0 0.0 2029056.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2029056.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6502233 0.0 6.170744 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2028760.0 0.0 8180.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 2036864.0 8180.0 2039808.0 0.0 0.0 0.0 0.0 12.0 2048000.0 28.0 2036552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.37533674 0.018386316 0.016298492 0.010573815 0.010775862 0.005792026 0.01097791 0.006398168 0.008822737 0.005792026 0.013806573 0.0017510776 0.002020474 0.0015490302 0.0035695042 0.0024919182 0.0022225215 0.0045797415 0.0045123925 0.0024919182 0.001481681 0.0006061422 0.0018857758 0.0016837284 0.004310345 0.001481681 0.0007408405 0.0008755388 0.0016163794 0.0013469828 0.0006734914 0.0008755388 0.0055899783 0.0018184268 0.0011449354 0.0022898708 0.0022225215 0.0018184268 0.0009428879 0.0012796336 0.007947198 0.0022898708 0.0046470906 0.002020474 0.0012122844 0.0021551724 0.00862069 0.0064655175 0.00390625 0.0021551724 0.0006734914 0.0011449354 0.0007408405 0.0005387931 0.00047144396 0.0003367457 0.0010775862 0.0014143318 0.00040409484 0.0015490302 0.00026939655 0.0005387931 0.0005387931 0.00013469828 0.0008755388 0.005792026 0.0006061422 0.0033674568 0.0026266163 0.0018857758 0.0018184268 0.0021551724 0.0012796336 0.0041756467 0.002020474 0.00020204742 0.0078798495 0.0025592672 0.0024245689 0.0042429958 0.0012796336 0.0008755388 0.0022225215 0.003838901 0.002963362 0.0008755388 0.0015490302 0.0003367457 0.0012122844 0.00047144396 0.00040409484 0.00026939655 0.0003367457 0.00013469828 0.00013469828 0.005792026 0.001010237 0.020541487 0.0065328665 0.022898708 0.01252694 0.045123924 0.009159483 0.004377694 0.0052532325 0.021551725 0.0018184268 0.0014143318 0.016567888 0.005926724 0.016702587 0.018184267 0.005859375 0.0006061422 0.02579472 0.0117860995 0.02108028 0.004040948 0.0051858835 0.0014143318 0.00040409484 0.010237069 0.0005387931 0.0007408405 0.00020204742 0.0007408405 0.0033674568 0.0024245689 0.0015490302 0.0005387931 6.734914e-05 0.0006061422 0.0003367457 0.0008081897 0.00047144396 6.734914e-05 0.00020204742 0.00040409484 6.734914e-05 6.734914e-05 0.0003367457 0.00013469828 0.0006061422 0.0 0.0006061422 0.0012796336 0.00040409484 0.0012122844 0.0006734914 0.0 0.0006734914 0.00013469828 6.734914e-05 0.0008081897 0.00020204742 0.0 0.0007408405 0.00013469828 0.0008755388 0.0 0.00020204742 0.00026939655 0.00013469828 0.0005387931 6.734914e-05 0.00013469828 6.734914e-05 6.734914e-05 0.00020204742 0.00020204742 0.0007408405 6.734914e-05 0.0005387931 0.00020204742 6.734914e-05 6.734914e-05 0.00047144396 0.0 6.734914e-05 0.00013469828 0.00026939655 6.734914e-05 0.0 0.0003367457 0.00020204742 6.734914e-05 6.734914e-05 0.00020204742 0.00026939655 0.00013469828 0.00013469828 6.734914e-05 0.00020204742 6.734914e-05 0.00026939655 0.00013469828 0.0008081897 6.734914e-05 0.0008081897 0.00013469828 0.00013469828 0.00047144396 0.0 6.734914e-05 0.0 0.0003367457 0.00013469828 0.00026939655 0.0005387931 0.00013469828 0.0 6.734914e-05 6.734914e-05 0.00026939655 0.0 0.0003367457 0.00026939655 0.00040409484 0.0 0.0008081897 0.00020204742 0.00020204742 6.734914e-05 0.00020204742 0.0009428879 0.00026939655 0.00013469828 0.00047144396 0.0003367457 0.0 0.00020204742 6.734914e-05 0.00013469828 0.0003367457 6.734914e-05 0.0006061422 0.00026939655 0.00013469828 0.00020204742 6.734914e-05 0.00020204742 6.734914e-05 6.734914e-05 0.00026939655 0.0003367457 6.734914e-05 6.734914e-05 6.734914e-05 0.0 0.00013469828 0.00013469828 0.00013469828 0.0006734914 0.0 0.0009428879 0.00026939655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05848107 0.00015024039 0.0016150841 0.0010516827 0.0021033655 0.0009390024 0.0090895435 0.003117488 7.5120195e-05 0.0 3.7560098e-05 7.5120195e-05 0.0 0.0 3.7560098e-05 0.00015024039 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10922476 0.010366587 0.01596304 0.002704327 0.009127104 0.0049954928 0.044245794 0.028282752 0.0012019231 0.0006385216 0.00075120194 0.00037560097 0.0002629207 0.0009390024 0.0008263221 0.0008638822 0.14629658 0.006986178 0.016902043 0.0052584135 0.015061598 0.006986178 0.07249098 0.027869591 0.0018404447 0.0021784855 0.0013146034 0.00067608175 0.0012394831 0.00060096156 0.001164363 0.0008263221 0.09082031 0.008901743 0.011455829 0.0031926082 0.0111929085 0.0067983773 0.057804987 0.026367188 0.0022160457 0.0037560095 0.0013146034 0.0009390024 0.0019155649 0.0013897235 0.0016526442 0.0010516827 0.05145733 0.0065730168 0.008901743 0.0044696513 0.009803185 0.0049954928 0.04323167 0.016564002 0.0012019231 0.0021033655 0.00048828125 0.00056340144 0.0008638822 0.0010141226 0.0008638822 0.00075120194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 192.0 21.072916 4046.0 0.004201681 0.00024715767 0.00024715767 0.00074147305 0.0014829461 0.0009886307 0.00024715767 0.0 0.002471577 0.0017301039 0.00024715767 0.00049431535 0.00049431535 0.0014829461 0.014582303 0.01062778 0.0027187346 0.002471577 0.0019772614 0.0017301039 0.0014829461 0.0009886307 0.00074147305 0.00074147305 0.0014829461 0.0009886307 0.0009886307 0.0019772614 0.00049431535 0.00024715767 0.00024715767 0.0 0.00049431535 0.017301038 0.0014829461 0.008650519 0.0069204154 0.0034602077 0.0022244193 0.007167573 0.0034602077 0.011616412 0.003954523 0.0 0.01804251 0.007909046 0.0037073654 0.011863569 0.0027187346 0.0 0.0064260997 0.009144834 0.0069204154 0.0017301039 0.0027187346 0.00049431535 0.0014829461 0.00024715767 0.00049431535 0.00024715767 0.0 0.0 0.0 0.020514088 0.0009886307 0.050914485 0.02125556 0.055857636 0.03336629 0.128522 0.021997035 0.013346515 0.0130993575 0.054127533 0.0034602077 0.004695996 0.04152249 0.01606525 0.045477014 0.040039547 0.012110727 0.00049431535 0.067226894 0.03188334 0.06351952 0.012357884 0.01606525 0.003954523 0.0009886307 0.025457243 0.00024715767 0.0 0.0 0.0 0.0 0.0 5.057912 0.0 0.0 0.0 1.0 14848.0 40960.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1528751100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 48.0 0.0 4.0 0.0 4.0 0.0 12288.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.471257 0.0 3.2073407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11892.0 0.0 1112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 19996.0 1112.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.05659884 0.008294434 0.0061673117 0.005665778 0.0057547097 0.0049605286 0.0041984045 0.005420699 0.0050370516 0.005619244 0.003753746 0.0044703702 0.0049553583 0.0031684511 0.0043204273 0.0046440973 0.0050360174 0.0037744278 0.0049326085 0.0041601434 0.0043483474 0.0031705194 0.0041074045 0.0038519846 0.005077381 0.0033607918 0.0031570762 0.0029419854 0.004157041 0.003441451 0.0037951097 0.0037909732 0.006162141 0.0038106209 0.0034879849 0.003027815 0.0048995176 0.004167382 0.0038530186 0.0037227233 0.0047278586 0.0038964504 0.003328735 0.0030919285 0.0043721315 0.0037299618 0.003730996 0.0035882916 0.0055179032 0.0039471206 0.003108474 0.002913031 0.0036823938 0.0030712467 0.0026865653 0.0028633946 0.0041622114 0.0033132238 0.0035272804 0.0033514851 0.0040039956 0.0032294625 0.003501428 0.0034683372 0.0065933564 0.003946087 0.0036244849 0.003224292 0.004159109 0.0032284283 0.003546928 0.0030671104 0.004995688 0.0037795983 0.0037092802 0.0035893258 0.00412395 0.0031250194 0.0035603712 0.003466269 0.005174585 0.0036348256 0.003651371 0.0033401102 0.0039212685 0.003375269 0.003363894 0.0035345189 0.004651336 0.0036430983 0.0038054504 0.003510735 0.004114643 0.0033897464 0.0036896325 0.0037795983 0.005910857 0.0036265529 0.0033370077 0.0029574968 0.004002962 0.0030495308 0.0032656556 0.0030329854 0.00497604 0.0031684511 0.0031974057 0.0030474626 0.0035789849 0.002832372 0.0030826216 0.0031932693 0.004500359 0.0032904737 0.0032325648 0.003142599 0.0038964504 0.0033328715 0.003282201 0.0036203484 0.0046213474 0.0032904737 0.0034828144 0.0031725876 0.0040370864 0.0031963715 0.0034631668 0.003339076 0.008629479 0.0045975633 0.004007098 0.003524178 0.0043597226 0.0034352464 0.0030205764 0.0033804395 0.004537586 0.0038426777 0.0029657695 0.0031943035 0.00373203 0.0028013494 0.0028468492 0.002982315 0.0052231876 0.0032046442 0.0034921214 0.003027815 0.0036565415 0.0031829283 0.0033059851 0.0032646216 0.0045406884 0.002842713 0.0030391898 0.0027103494 0.003511769 0.0032273943 0.0029833491 0.0031488035 0.005008097 0.0034124963 0.00327186 0.0028013494 0.003776496 0.0030092013 0.00306194 0.0031829283 0.0041311886 0.003006099 0.0031250194 0.003015406 0.0036524052 0.0028385764 0.0029202695 0.003027815 0.0046678814 0.0031126102 0.0038416437 0.0028499514 0.003559337 0.003153974 0.0029854174 0.003119849 0.004250109 0.0031529397 0.0033359737 0.0031870648 0.003650337 0.0031963715 0.0033328715 0.0033463147 0.0067184814 0.0040712114 0.003720655 0.0033349397 0.0041177454 0.003257383 0.0033049511 0.003225326 0.004329734 0.0033308032 0.0031126102 0.0030764171 0.0036462008 0.0029833491 0.0030898603 0.0028044516 0.004249075 0.0032790988 0.0030908943 0.0030009286 0.003708246 0.0030319514 0.0029378491 0.0029512923 0.0039812457 0.003108474 0.0027248266 0.0026410653 0.0035314166 0.0029430196 0.0035810529 0.002890281 0.004952256 0.003234633 0.0034052578 0.0029668037 0.003811655 0.0030753831 0.003201542 0.002913031 0.004444518 0.0054486194 0.003477644 0.0031281216 0.0037930415 0.0030919285 0.0032511784 0.0032036102 0.0046120407 0.0033235645 0.0034238712 0.0030453946 0.003743405 0.0030919285 0.0033080534 0.0032439397 0.004352484 0.003040224 0.0031932693 0.0028602923 0.00400503 0.0030939968 0.0042190864 0.004508632 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045726527 0.0002935901 0.00027236048 0.00026407576 0.00030912398 0.00023870377 0.000329318 0.00031223075 0.00032621121 0.000352101 0.00032621121 0.000352101 0.0005209024 0.00015119632 0.00018640641 0.00073682313 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09914646 0.062041752 0.06247359 0.055348724 0.060601242 0.059566688 0.05493863 0.054467436 0.06046351 0.053140327 0.05214357 0.052964795 0.056442827 0.050578274 0.05670483 0.053834174 4031.0 5.702803 22988.0 0.017182877 0.010396728 0.009309205 0.008787193 0.0134417955 0.012571776 0.011788759 0.011571255 0.012571776 0.009787715 0.008439186 0.008569689 0.013876805 0.010570733 0.011875762 0.010135723 0.016747868 0.011919262 0.008700191 0.0075691664 0.009831216 0.008482686 0.007830172 0.008352184 0.010396728 0.008395685 0.009700714 0.0088306945 0.011614756 0.008961197 0.0096572125 0.009178702 0.018009396 0.010875239 0.010353228 0.009135201 0.010962241 0.008787193 0.010657734 0.008265181 0.014181312 0.011571255 0.009744215 0.008917696 0.011440752 0.009309205 0.011658257 0.00952671 0.014790325 0.009613711 0.009961719 0.009048199 0.012006264 0.009352705 0.00957021 0.009744215 0.0136593 0.009222203 0.010483731 0.00957021 0.011136245 0.009787715 0.010396728 0.010701235 0.017922394 0.010962241 0.0096572125 0.008221681 0.013093788 0.008221681 0.009352705 0.008308683 0.015399339 0.009265704 0.008874196 0.008700191 0.01135375 0.008004176 0.009874717 0.007873673 0.013311293 0.008047677 0.008787193 0.0088306945 0.011614756 0.009483209 0.00817818 0.007830172 0.010875239 0.008874196 0.011919262 0.00861319 0.01135375 0.009004698 0.0099182185 0.008787193 6.554551 0.0 0.0 0.0 14.0 967034.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.08597395 0.009335816 0.004744605 0.0049207816 0.010666249 0.005885194 0.008503536 0.0044530034 0.00821649 0.0024345717 0.0029752504 0.0024679846 0.006237546 0.0023464838 0.00197135 0.0072019584 0.01899057 0.0019819813 0.0033837967 0.0018027677 0.00372248 0.002932725 0.002073107 0.0017101235 0.00313472 0.0019683125 0.0016478543 0.0018118804 0.0027838866 0.0017663175 0.0018225117 0.0018179554 0.009984327 0.0017617613 0.003420247 0.0024300155 0.0031271263 0.0024603908 0.0017480925 0.0018058053 0.002850712 0.0018878183 0.0015628038 0.0027352863 0.0031332013 0.002516585 0.0021399325 0.003616167 0.004855475 0.002894756 0.003104345 0.0069498443 0.0037893055 0.0034612534 0.0030041067 0.0028856434 0.0036571734 0.0036146482 0.0029463938 0.004928375 0.0055647357 0.004615511 0.0051227766 0.0028218555 0.0038272745 0.004027751 0.0030830821 0.0030390383 0.003204583 0.008500498 0.004176589 0.002990438 0.0029980317 0.0023039584 0.0020594383 0.0017465737 0.0026320105 0.0050787325 0.0027929991 0.002471022 0.008075246 0.003210658 0.0026745358 0.004753718 0.0028643808 0.004778018 0.0055343607 0.004451485 0.0024755783 0.005315659 0.0017799864 0.002471022 0.0020336192 0.0047233426 0.0034734034 0.0033655716 0.0020518445 0.0061008576 0.0030815634 0.004765868 0.005595111 0.010403504 0.0044773035 0.0033351963 0.006870869 0.0057272427 0.0063043716 0.002243208 0.0053703343 0.0027352863 0.006594455 0.006611161 0.0041371016 0.0018073241 0.007548236 0.0057409117 0.0146621065 0.011457523 0.0033033025 0.0025955604 0.0030724509 0.0032516646 0.0018589619 0.001561285 0.0025089912 0.0032577396 0.0023647088 0.0021581575 0.0032455896 0.0027474363 0.0016782295 0.010121015 0.0036435046 0.010689031 0.0017222735 0.0018376992 0.0028461558 0.0091900155 0.0023874904 0.023446612 0.0019895753 0.009138377 0.0017010109 0.0015536912 0.0023525588 0.001409409 0.0015217973 0.0017556862 0.0018802246 0.0018240304 0.0014109277 0.001409409 0.0022538395 0.001593179 0.001353215 0.0015005346 0.0018908558 0.0020396942 0.0015050909 0.0016751919 0.0022857334 0.0019941316 0.0014549718 0.0018802246 0.0017739113 0.0017845427 0.0014018152 0.0014367467 0.0020138754 0.001409409 0.0014580094 0.0016022915 0.0017602425 0.0014747157 0.0014321904 0.0014823095 0.002768699 0.0020260254 0.0016478543 0.0015810289 0.0018392181 0.0021900516 0.0022644708 0.0018301054 0.0027504738 0.0016539294 0.001561285 0.0016736732 0.0018619994 0.0019303436 0.0018118804 0.0016007727 0.007426735 0.0038561309 0.00311042 0.004607917 0.003932069 0.0015658413 0.0032562208 0.0037817117 0.003628317 0.0035508603 0.0019348998 0.0019698313 0.0029539876 0.0017025296 0.00251051 0.0020715883 0.0026061917 0.0018741495 0.0020974071 0.0026396045 0.002016913 0.0013987777 0.0017025296 0.0018376992 0.00275503 0.0020427317 0.0018042865 0.0028552683 0.002237133 0.0022006829 0.0015142035 0.0016007727 0.0028431183 0.0017161985 0.0016098853 0.0015202785 0.0024360905 0.0023282587 0.0015369848 0.001535466 0.013674913 0.003266852 0.0015126846 0.00455476 0.0051106266 0.0015217973 0.0015005346 0.0015217973 0.004664111 0.00232674 0.0015369848 0.0018498494 0.0029494313 0.001485347 0.0033974655 0.0029357625 0.004556279 0.0025667038 0.0019181935 0.0025894854 0.005845706 0.0037589304 0.0052321274 0.042654365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013545621 6.692952e-05 1.0647877e-05 3.0422507e-06 6.845064e-06 6.0845014e-06 4.563376e-06 9.126752e-06 1.14084405e-05 4.563376e-06 3.8028136e-06 2.2816881e-05 2.5859132e-05 3.8028136e-06 6.0845014e-06 1.7492943e-05 0.0012838298 8.8985835e-05 4.6394325e-05 7.6056267e-07 1.2169003e-05 9.887315e-06 1.977463e-05 1.5971817e-05 9.126752e-06 3.0422507e-06 3.8028136e-06 1.7492943e-05 2.5859132e-05 3.0422507e-06 3.0422507e-06 1.4450691e-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 0.0009179992 0.0 0.00012549285 0.0 0.0 0.0 0.00032323913 0.00019090124 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018988209 0.0019987589 0.0007331824 0.00045709818 0.00083661894 0.00049436576 0.0012526468 0.0007742528 0.00013690129 0.00052326714 0.00022740825 0.00030878844 0.00028673213 0.0001407041 0.0001224506 0.0023136318 0.006087544 0.0004707883 0.00537946 0.0050775167 0.0012769848 0.0008389006 0.013999677 0.0076147537 0.00011028159 0.00015363366 8.746471e-05 5.0197137e-05 9.735202e-05 7.377458e-05 5.628164e-05 0.00068146415 0.008890978 0.0007415486 0.0060320226 0.0051817135 0.0035518277 0.0023957724 0.017235111 0.009283428 0.00014983086 0.00010115484 8.4422456e-05 8.061965e-05 0.00010723934 8.290134e-05 0.00018481673 0.0004137461 0.0065438813 0.0014579986 0.002688589 0.0016975759 0.0033282223 0.0020132095 0.0076428945 0.004227968 0.00045557704 0.00021219699 0.0001140844 9.278865e-05 0.000200028 7.149289e-05 0.00010495765 0.00030118282 0.010298019 0.0026832651 0.00250073 0.015632605 0.0025456033 0.0020230967 0.006137741 0.003702419 0.0013621678 0.001133999 0.0010305624 0.0010640272 0.0011469285 0.0010115483 0.0010838018 0.0011606186 0.0067674867 0.001328703 0.0006860276 0.0013051255 0.0014055199 0.0009674358 0.0018481674 0.0016892097 0.0030308424 0.00051261927 0.00028445045 0.00082064717 0.001236675 0.00041070385 0.00091647805 0.0048272912 0.03331797 0.008448331 0.003353321 0.00498701 0.008169204 0.011860975 0.0050912066 0.008323598 0.023871781 0.002080139 0.0017964491 0.003584532 0.010334526 0.0031821944 0.009923822 0.025226343 0.05451485 0.016871562 0.0063111493 0.010814441 0.015033282 0.02230198 0.009767907 0.016302662 0.03972343 0.0036491798 0.0038628979 0.0060114875 0.019267336 0.00900126 0.016947618 0.03622332 0.019001137 0.01923311 0.019318292 0.019106096 0.018790461 0.019106096 0.018993532 0.019201165 0.019160096 0.018982884 0.019136518 0.018914433 0.019151729 0.019162377 0.018858913 0.01917911 3643.0 24.07933 87721.0 0.0515726 0.0010259801 0.013018548 0.0044117146 0.0019151629 0.0058024875 0.0018809636 0.0025079513 0.0050843013 0.004183719 0.0007637852 0.0025307508 0.009484616 0.0033287355 0.005460494 0.017145267 0.014568917 0.0071362616 0.0077632493 0.0075238543 0.009119823 0.008207841 0.005870886 0.00670307 0.006862667 0.0060646823 0.007170461 0.007637852 0.02320995 0.01649548 0.023050353 0.0054262946 0.0054946933 0.011137584 0.0044117146 0.008618233 0.005927885 0.008709431 0.007991245 0.00463971 0.005460494 0.004901905 0.002211557 0.0024167532 0.004537112 0.004571311 0.004844906 0.0044117146 0.0068284674 0.0031121396 0.006452275 0.010020406 0.0073528574 0.004525712 0.004901905 0.0050159027 0.0023483546 0.0027929458 0.002371154 0.0022229569 0.0020291607 0.0021773577 0.0013793733 0.0065206736 0.001903763 0.031850982 0.013064147 0.024315728 0.027724262 0.061228212 0.012767753 0.014591717 0.013725334 0.030517207 0.0037961265 0.0053806957 0.026413288 0.009701212 0.036296897 0.036787085 0.015195905 0.0021545582 0.039477434 0.02783826 0.05317997 0.015401102 0.008994426 0.006098882 0.007945646 0.010476396 0.0025877499 0.001493371 0.0016643677 0.001493371 0.0014021728 0.0012653754 5.912099 1.0 5.0 17.0 11.0 658432.0 503808.0 1.0 1.0 187.0 1.0 1.0 0.0 0.0 0.0 1495430700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 12.0 0.0 5.0 1.0 5.0 1.0 301568.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 123392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -301568.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.695037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8193216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6977425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.691607 0.0 3.8303266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18348.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 123258.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -301313.0 0.0 1432.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 89.0 426272.0 140.0 426364.0 1432.0 479232.0 0.0 0.0 0.0 0.0 18348.0 483328.0 56.0 308176.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 405808.0 0.0 0.0 772.0 307200.0 128.0 424772.0 0.0 0.0


Input: 0.23323262 0.004206682 0.0033622936 0.0031622176 0.0035691517 0.0031384798 0.0028637992 0.0030045304 0.0032978621 0.0028824504 0.0028892325 0.003002835 0.0031774775 0.00277563 0.0030655707 0.003087613 0.0032775155 0.0028231058 0.0026654187 0.0030435284 0.0028790592 0.0028722768 0.0028739725 0.0028519302 0.0029112748 0.0029078836 0.002902797 0.0031062642 0.0028248013 0.0030706574 0.0025806408 0.0029536637 0.0033402513 0.0027383277 0.0025365562 0.002794281 0.0029367083 0.0029994438 0.0030384418 0.002845148 0.0032656465 0.003029964 0.0029858793 0.002587423 0.002921448 0.0026315076 0.0029926617 0.0029112748 0.0032995578 0.003029964 0.0027349365 0.0029502728 0.0026705053 0.0026043786 0.0027162854 0.0028197146 0.0029044927 0.0028637992 0.0025162096 0.0026026831 0.0028197146 0.0027654567 0.002933317 0.0029011015 0.0034080737 0.0032164755 0.002483994 0.0030163995 0.0027434144 0.0030740486 0.002660332 0.0026976343 0.0028654947 0.002929926 0.0027196766 0.0026738965 0.0028722768 0.0027162854 0.0026857655 0.0027434144 0.0030825261 0.002875668 0.0027501967 0.0028383657 0.0026925476 0.0029434904 0.0030401372 0.0027925856 0.0028688859 0.002845148 0.002794281 0.0026552454 0.0028909282 0.0026959388 0.0027891945 0.0031384798 0.0029367083 0.003109655 0.0028688859 0.0028095413 0.0029570549 0.0033148178 0.0031588264 0.0030079216 0.003175782 0.0030316594 0.0030977863 0.0027705433 0.0030842219 0.0029858793 0.0030791352 0.0031198286 0.002538252 0.0028434524 0.0034318115 0.0030774395 0.0030893085 0.0030960906 0.0028570169 0.002687461 0.0027586746 0.0028790592 0.0028773637 0.0025433386 0.0025128184 0.0029774015 0.002672201 0.0027586746 0.0031656087 0.0027569789 0.0026467675 0.0029553594 0.0027501967 0.003733621 0.0029197526 0.0026705053 0.0026976343 0.002875668 0.0026094653 0.0028400612 0.0027891945 0.0032724289 0.0027468055 0.0025653807 0.002799368 0.0027196766 0.0026620277 0.0026552454 0.0025348607 0.002617943 0.0027315456 0.0025653807 0.002560294 0.0030401372 0.0027044166 0.0026959388 0.0026009874 0.0025585985 0.0027976723 0.0024314316 0.0026213343 0.0027891945 0.002629812 0.0026416809 0.0027095033 0.0028773637 0.0025823363 0.002572163 0.0026348988 0.0025891187 0.0026637232 0.002633203 0.002860408 0.0026755922 0.0026755922 0.002645072 0.0025823363 0.0023551316 0.0027807166 0.0027468055 0.0026738965 0.0028688859 0.002533165 0.0026399854 0.0026857655 0.0024433006 0.0026738965 0.002706112 0.0027078078 0.0027959768 0.0025467295 0.0025619897 0.0035827162 0.0026637232 0.0029112748 0.0028536257 0.0027925856 0.0028366703 0.0025484252 0.0030520062 0.0028790592 0.0024670383 0.0027790212 0.0028129325 0.0029112748 0.0025925096 0.0027349365 0.0027044166 0.0033877268 0.01706241 0.0027010255 0.0030689617 0.0028502347 0.0028637992 0.0030621795 0.0030130083 0.003002835 0.002829888 0.0029112748 0.0029994438 0.0028044546 0.003014704 0.0035759339 0.003075744 0.002963837 0.005090068 0.0029078836 0.0028858413 0.0031622176 0.0026501587 0.0028112368 0.00274511 0.0038302678 0.002833279 0.0027213723 0.0034012913 0.0029570549 0.0026620277 0.002848539 0.0028112368 0.0031588264 0.0026009874 0.0028519302 0.0027959768 0.003033355 0.002753588 0.0026654187 0.0036590162 0.00269933 0.007489284 0.0073875505 0.007419766 0.0027586746 0.0026026831 0.0031113508 0.008350628 0.027874565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004526384 4.6786532e-05 1.9565277e-05 2.2967934e-05 4.6786532e-05 2.8071918e-05 0.00011058635 5.5293174e-05 1.3610627e-05 1.1058634e-05 4.253321e-06 7.655978e-06 8.506642e-06 0.00015822354 1.3610627e-05 0.00015311956 0.0043094647 6.209849e-05 4.6786532e-05 5.5293174e-05 7.145579e-05 0.00010378103 0.00024328996 0.00011483967 3.827989e-05 5.69945e-05 2.7221255e-05 2.1266605e-05 2.041594e-05 0.013090871 1.5311956e-05 0.013081514 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032078547 0.00014121026 6.294915e-05 3.657856e-05 0.00013100229 4.3383876e-05 5.5293174e-05 3.1474574e-05 5.6143836e-05 6.379982e-05 2.637059e-05 2.041594e-05 2.9773248e-05 0.00060992624 2.3818597e-05 0.000686486 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009145491 0.00041512412 0.0005163532 0.0002994338 0.00053761975 0.00021436738 0.0005733477 0.000341967 0.0001973541 0.0001735355 0.0001403596 0.00015482088 0.00019905542 0.0002875245 0.00029262848 0.00044830004 0.008193597 0.00029603115 0.00033601237 0.00034792165 0.00060227024 0.00038450022 0.0010752395 0.00063544617 0.00022627668 0.00020160741 0.00023053 0.00026966055 0.00025775126 0.00030283644 0.00028156984 0.00029603115 0.011379335 0.0006958433 0.0007826111 0.00053081446 0.00071966194 0.0005189052 0.000906808 0.00072391523 0.0004755213 0.00041257215 0.0003258044 0.00033005772 0.00046616397 0.0007843124 0.0008600215 0.0009935758 0.0075734635 0.00058525696 0.0006158809 0.0003615323 0.000458508 0.0004176761 0.00057845167 0.0004227801 0.00092807465 0.0004372414 0.00037174026 0.00036068162 0.00054272375 0.0006686221 0.0009978291 0.0021011406 0.0051788436 0.00040916947 0.00074433116 0.00044574804 0.0003896042 0.00040746815 0.00036748694 0.00037429226 0.0004202281 0.00043043608 0.0003921562 0.00040491615 0.0006201342 0.0011832739 0.0009646532 0.0012045405 0.011045024 0.0015107796 0.0019225011 0.0012828016 0.0015830861 0.0016468859 0.0017846934 0.0015788327 0.002854829 0.001256431 0.0015039743 0.0013295881 0.0017574723 0.0022202337 0.0037684424 0.0047662714 0.018836258 0.004803701 0.004258425 0.004215892 0.004190372 0.004339238 0.004787538 0.004209937 0.0039640954 0.0040193885 0.0039709006 0.0038866848 0.00434179 0.0050282762 0.004577424 0.0041937744 0.1692524 0.03755427 0.037198696 0.037456445 0.036739334 0.03760361 0.037891988 0.037034515 0.03683291 0.03567771 0.035853796 0.03556372 0.03695115 0.03801193 0.037567884 0.03754832 5967.0 15.600804 93090.0 0.010258889 0.009571383 0.008819422 0.009356537 0.009582125 0.010065528 0.0115157375 0.009582125 0.010162208 0.009431733 0.009764744 0.009657321 0.010334086 0.009882909 0.010602643 0.010849715 0.010645612 0.0108712 0.010377054 0.0108712 0.010054786 0.010645612 0.010420023 0.01007627 0.010258889 0.010624127 0.010065528 0.009818455 0.010602643 0.00997959 0.010237405 0.010269632 0.009968847 0.01124718 0.0097969705 0.011354603 0.01021592 0.0105919 0.010183693 0.010817489 0.010473735 0.010398539 0.010602643 0.009818455 0.010785261 0.010258889 0.010505962 0.010548932 0.010677839 0.0111505 0.010516704 0.010495219 0.010172951 0.010462993 0.011000107 0.009517671 0.011086046 0.009990332 0.010409282 0.009861425 0.010516704 0.010237405 0.01011924 0.012256956 0.010409282 0.012375121 0.010634869 0.011365346 0.011139757 0.012697389 0.010742293 0.010806746 0.01138683 0.0109678805 0.010677839 0.01021592 0.011236438 0.010667097 0.011064561 0.01162316 0.010087012 0.010355569 0.011880975 0.010903426 0.011086046 0.010323343 0.01073155 0.010129982 0.00970029 0.010248147 0.009625094 0.009130948 0.009152433 0.009582125 0.008851649 0.0089053605 6.5816393 2.0 10.0 0.0 2.0 589776.0 581632.0 0.0 0.0 61.0 0.0 1.0 1.0 0.0 0.0 1032376300.0 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 3.0 3.0 6.0 0.0 4.0 0.0 4.0 0.0 552960.0 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 -552960.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.994503 0.0 5.4322534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -551428.0 0.0 17364.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 554164.0 17364.0 561152.0 0.0 0.0 8144.0 581632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 304.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.04238988 0.0060514975 0.005197969 0.0045946185 0.0057523227 0.00397667 0.0039250744 0.003807284 0.0066216504 0.003468112 0.0034509136 0.003397518 0.005106776 0.0034169164 0.0033447223 0.0051617716 0.0047742035 0.0035459057 0.0031377396 0.0031873356 0.0040046675 0.0036944933 0.0033895187 0.0031371396 0.0037672874 0.0032691287 0.0032011343 0.003238931 0.003759088 0.003096943 0.0031915351 0.0032513302 0.004034065 0.0030891437 0.0035593046 0.003229932 0.0044430313 0.0032469304 0.003122741 0.0031337398 0.003350322 0.002997551 0.003169137 0.0036458974 0.0033925185 0.0032453306 0.0032823277 0.0032673287 0.0037134918 0.0033457223 0.003194535 0.004926991 0.0033557215 0.0032475304 0.0032471304 0.0031869356 0.0034841108 0.003580503 0.003301926 0.0038056842 0.0033789196 0.0033187245 0.003289927 0.003216133 0.0044284323 0.004224249 0.0035695038 0.0034909102 0.0037528884 0.006236282 0.0038646793 0.0035491055 0.0035479055 0.0033789196 0.0033787196 0.0031767364 0.0034359149 0.005082578 0.0045944187 0.0037016927 0.0064756623 0.004301243 0.0042470475 0.0039434726 0.0035289072 0.0046212166 0.0046234163 0.0041218577 0.003350322 0.00409866 0.0031465387 0.003351322 0.00325233 0.0046928106 0.003889477 0.0037080923 0.0032551298 0.0036168997 0.0031705368 0.003351522 0.003673295 0.0042004515 0.0040628626 0.0032203328 0.0041858526 0.003675095 0.0046806117 0.003119741 0.0035853025 0.0033715202 0.0036538967 0.0037084923 0.0036398978 0.0032681287 0.00385528 0.0038726786 0.0061382907 0.0065978523 0.0034279155 0.0033675204 0.003566304 0.0033769198 0.0031379396 0.0031769364 0.0033351232 0.0037128918 0.0034119168 0.0033837191 0.0037770865 0.0035119085 0.0030871439 0.00638667 0.0037696871 0.006009301 0.0031985345 0.0032271321 0.003504109 0.0066784457 0.0033199245 0.014032235 0.0031915351 0.0067180423 0.0031753364 0.0031879353 0.0031913351 0.0030337481 0.003073545 0.0032243324 0.0031979345 0.0031377396 0.0030259488 0.0030691454 0.003166937 0.0031053422 0.0030353481 0.0030321484 0.0031961347 0.0031993345 0.0031509385 0.0031907351 0.0032249324 0.0032829274 0.0030929432 0.003180536 0.0032057338 0.0033203245 0.0030495469 0.0030535467 0.0031839358 0.003036548 0.0031019426 0.0030757447 0.0032207328 0.0030527466 0.003047547 0.0030907434 0.0032505302 0.0030989428 0.003037948 0.0031409394 0.0032257324 0.0033215242 0.0034519136 0.0033949183 0.0038356816 0.0031969347 0.0031645373 0.0032117334 0.0033773198 0.003216933 0.0032473304 0.003239531 0.005328158 0.0041870526 0.0042072507 0.004612617 0.00385648 0.0031875353 0.0038986765 0.0039102756 0.0039384733 0.0035643042 0.003204534 0.0032443306 0.0036322984 0.0031033424 0.003508509 0.0034287155 0.0034967097 0.0033287236 0.0032547298 0.0031663373 0.0033351232 0.0030943432 0.0031167413 0.0031739366 0.0035779031 0.003351722 0.0031069422 0.0034367146 0.0032847275 0.0031779362 0.0031659373 0.003166937 0.0035687038 0.0031745366 0.0031285402 0.0031023426 0.0034649123 0.003446114 0.0031601377 0.0031955347 0.008142124 0.0040308656 0.0030573462 0.0042484473 0.0049947854 0.0031279405 0.0031177413 0.003108942 0.0041704536 0.0034803113 0.003301926 0.003288527 0.0034207162 0.0031897353 0.0037172914 0.003601501 0.0040038675 0.0035755031 0.0033521217 0.0036272989 0.0048503974 0.004038265 0.0041974518 0.01794951 0.0014030335 1.0001664e-07 2.3003827e-06 4.4007325e-06 1.1001831e-06 7.001165e-07 1.4702447e-05 6.101015e-06 3.0004992e-07 4.0006657e-07 5.000832e-07 0.0 0.0 1.0001664e-07 0.0 1.0001664e-07 0.00019723282 4.0006657e-07 0.0 1.1001831e-06 1.2001997e-06 5.000832e-07 3.0004992e-07 1.0001664e-06 4.0006657e-07 9.0014976e-07 1.0001664e-06 0.0 1.0001664e-07 1.0001664e-07 1.0001664e-07 5.000832e-07 0.00019213196 2.0003328e-07 3.0004992e-07 5.000832e-07 8.0013314e-07 6.0009984e-07 4.8007987e-06 3.3005492e-06 1.0001664e-07 1.0001664e-07 4.0006657e-07 7.001165e-07 2.0003328e-07 3.0004992e-07 3.0004992e-07 1.0001664e-07 0.00017992994 1.0001664e-06 8.0013314e-07 1.1001831e-06 1.3002164e-06 1.1001831e-06 1.0001664e-06 8.0013314e-07 1.1401898e-05 8.0013314e-07 9.0014976e-07 9.0014976e-07 8.0013314e-07 1.0001664e-06 7.001165e-07 1.3002164e-06 0.0007060175 1.3602264e-05 8.201365e-06 7.501248e-06 7.201198e-06 2.4304045e-05 8.101348e-06 6.2010317e-06 1.0001664e-05 3.5005826e-06 4.8007987e-06 4.200699e-06 5.2008654e-06 4.0006657e-06 3.5005826e-06 3.0004992e-06 0.0004908817 1.1101847e-05 9.001498e-06 5.9009817e-06 1.2502081e-05 2.6604426e-05 8.301381e-06 8.601432e-06 3.600599e-06 2.7004494e-06 2.7004494e-06 2.7004494e-06 7.801298e-06 7.901314e-06 4.500749e-06 9.7016145e-06 0.0023248869 0.00010101681 7.411233e-05 2.6104344e-05 0.00013962324 0.00011011832 0.00012772126 6.7611254e-05 1.8703113e-05 3.9306542e-05 1.7102846e-05 1.19019805e-05 2.1803628e-05 2.0403395e-05 1.7802962e-05 0.00015912647 0.0071081826 0.00023063838 0.00030925145 0.000108518056 0.0005162859 0.00039086505 0.0003454575 0.00021043501 6.5110835e-05 0.00018613097 6.3010484e-05 4.7307873e-05 9.361558e-05 8.6914464e-05 9.591596e-05 0.0009985662 0.0026369388 4.230704e-05 0.00014322384 9.411566e-05 0.0002457409 0.00028214694 0.0006834137 0.0003744623 1.8403061e-05 2.3803961e-05 1.35022465e-05 6.141022e-05 4.0106675e-05 3.0004992e-05 3.8606424e-05 0.00018783126 0.002602833 6.481078e-05 0.0002157359 0.00015852638 0.00052218686 0.00037476237 0.0014530418 0.0007403232 6.0810118e-05 3.4105677e-05 3.4005658e-05 3.4305707e-05 5.4309035e-05 4.260709e-05 4.7407888e-05 0.00011491912 0.0015700613 4.120686e-05 0.00044077335 0.00033245533 0.00069301535 0.00036406057 0.0010821801 0.0006016001 4.790797e-05 3.250541e-05 6.4910804e-05 5.780962e-05 3.250541e-05 5.3808955e-05 7.7612916e-05 3.810634e-05 0.0021649601 0.0002968494 0.00019373224 0.00019093177 0.00036046 0.00026164352 0.00048338043 0.0003708617 0.00040166682 7.5912634e-05 9.821634e-05 0.0001184197 0.00024654102 0.000111818605 0.00018943152 0.00017052838 0.0049400222 0.0006288046 0.000697116 0.00080683426 0.0018481076 0.0011888979 0.000817636 0.0011224868 0.0026653435 0.00024724114 0.00023233866 0.0008083345 0.0011314882 0.0003034505 0.0008780461 0.0021672607 0.022463638 0.0038818459 0.0026994492 0.0034469736 0.0066190013 0.008943388 0.0032589424 0.005600732 0.016326416 0.0011128852 0.0012419067 0.0020986493 0.007186396 0.001977829 0.0068681426 0.0142213665 0.012847138 0.002878279 0.0022013662 0.0026178355 0.0048932144 0.005961192 0.0025581256 0.004278912 0.009797431 0.0007922318 0.0010623768 0.0014171358 0.0043194187 0.0020054337 0.0043004155 0.0077130836 0.04778485 0.047453795 0.047215156 0.047795452 0.047549713 0.04742749 0.047684133 0.047879267 0.04735858 0.0474797 0.047384486 0.047753047 0.047676634 0.047591317 0.047551114 0.047988385 20709.0 7.7047663 159558.0 0.022317903 0.006154502 0.01623861 0.0071071335 0.009808346 0.0067875003 0.00671856 0.007100866 0.007740132 0.006800035 0.006856441 0.0076461225 0.008053497 0.0080096265 0.011293699 0.011155818 0.011036739 0.011030472 0.009921157 0.009513781 0.008692764 0.008479675 0.008861981 0.008523546 0.007928152 0.009513781 0.011005403 0.00797829 0.009852217 0.011249827 0.009294426 0.009031199 0.0130422795 0.011958034 0.007846677 0.011293699 0.0109301945 0.009764475 0.009319495 0.008937189 0.008272854 0.010002633 0.0066370848 0.0068251044 0.008780506 0.008780506 0.0076461225 0.0073891627 0.011669737 0.007552113 0.008498477 0.010591759 0.009413505 0.007740132 0.010221988 0.010466414 0.008166309 0.0069441833 0.0068940446 0.00697552 0.0068501737 0.0073139546 0.007871746 0.010303463 0.0072450144 0.018488575 0.009388436 0.013719149 0.017272716 0.030233521 0.010729641 0.009889821 0.011958034 0.02048158 0.008893318 0.0078028054 0.01569962 0.0148598 0.019052632 0.020895222 0.01411399 0.0071886084 0.020136878 0.016357688 0.028347058 0.011350105 0.007940686 0.009601524 0.011607065 0.00942604 0.007201143 0.0065869465 0.0064678676 0.006612016 0.0068439064 0.0070068566 6.4750686 0.0 78.0 0.0 66.0 5000415.0 5386240.0 1.0 0.0 501.0 0.0 1.0 0.0 0.0 0.0 1472550000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 939520.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 231424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -939520.0 0.0 4146176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4701996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.191276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6349897 0.0 7.999478 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 231382.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -939375.0 0.0 4145904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 -1.0 -2.0 0.0 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 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -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 1.0 1.0 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 1.0 0.0 0.0 0.0 -2.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 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 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -4.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -2.0 3.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -3.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 -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 2.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -3.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 -1.0 0.0 0.0 1.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 1.0 -1.0 2.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -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 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 2.0 0.0 -1.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440.0 1165748.0 4145904.0 1236992.0 0.0 0.0 11352.0 5339648.0 0.0 0.0 56.0 948448.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1094192.0 0.0 0.0 2092.0 946176.0 64.0 1163480.0 0.0 0.0