Input: 0.6455785 0.0024626146 0.0017576175 0.00139098 0.002254431 0.0013427124 0.0012612917 0.0013305238 0.0027249164 0.0012476402 0.0012408146 0.0011730451 0.0021164543 0.0012139993 0.0011140516 0.002528434 0.0022622317 0.0012047358 0.001133066 0.0011325785 0.001508967 0.0013344241 0.0011413543 0.0010818733 0.0013709904 0.0010862612 0.0010706596 0.001064809 0.001226188 0.0010262926 0.0010774854 0.0011774331 0.0016006264 0.0010574958 0.0011340411 0.0010804107 0.0015601597 0.0010804107 0.001015079 0.0010711472 0.0012125367 0.0010370187 0.0010428693 0.0012383768 0.0011179519 0.0015635726 0.0010740724 0.0010482323 0.0014763012 0.0013353992 0.0012666547 0.0019146085 0.0013178474 0.0012296009 0.0012218001 0.0011686572 0.0012754305 0.0012525157 0.0011925471 0.0017639556 0.0013651398 0.0014489983 0.001220825 0.0017810198 0.0016630328 0.0014528987 0.001542608 0.0011881592 0.0012939575 0.0037765617 0.0012690924 0.0011140516 0.0013427124 0.0011116138 0.0011759704 0.0010721222 0.0011784082 0.0029077479 0.001133066 0.0010828484 0.0021237675 0.0016211035 0.0013134595 0.0012983454 0.0012612917 0.0025289215 0.0014148699 0.001351976 0.0012042483 0.0014655751 0.0010818733 0.0011345287 0.0011413543 0.0015884377 0.0027141904 0.0018648785 0.0011706074 0.0014421727 0.0011121014 0.0012037607 0.0015045791 0.001695211 0.0016479187 0.0011618314 0.0014806892 0.0013134595 0.001552359 0.0011272155 0.0015094546 0.0011774331 0.0013953679 0.0014109695 0.0012861567 0.0010165416 0.0015518714 0.0015318819 0.0024094717 0.0022948976 0.0011725576 0.00107456 0.0011759704 0.0011306283 0.0010682219 0.0010004524 0.0011125889 0.0012120492 0.0011091761 0.0011671946 0.0013383245 0.0011949849 0.0010599336 0.0027678208 0.001318335 0.0023655922 0.0010467697 0.0010687094 0.0013505133 0.0034347891 0.0012071736 0.007292284 0.001083336 0.0024606644 0.0010141039 0.0010214171 0.0011218524 0.0010067906 0.000991189 0.001006303 0.0011140516 0.0013222354 0.0010267801 0.0010389689 0.0011642692 0.0010223922 0.0009970396 0.0010350685 0.0010779729 0.001020442 0.0010228797 0.0010331183 0.0011574435 0.0012452025 0.0010375063 0.0011013753 0.0011140516 0.0010404316 0.0010243424 0.0010116661 0.0011842587 0.0009975272 0.0009726621 0.0010087407 0.0011208773 0.0009970396 0.0009726621 0.0009941143 0.0012198499 0.0010048404 0.001049695 0.001015079 0.0010896741 0.0010072781 0.0014329093 0.0011121014 0.0012803061 0.0010823609 0.0010901616 0.0010004524 0.0011238026 0.0011481801 0.0010579834 0.001137454 0.0021798357 0.0014080441 0.0012968828 0.001679122 0.0016176907 0.0011340411 0.0013602643 0.0017088625 0.0013939053 0.0012622668 0.0010750475 0.0010389689 0.003554239 0.0010555456 0.001142817 0.0011038131 0.0013168723 0.0011491552 0.0011891343 0.0010838235 0.00124569 0.0010326308 0.0010862612 0.0010214171 0.001410482 0.0010633464 0.0010701721 0.0011238026 0.0012461776 0.0011218524 0.001049695 0.0010521327 0.0013885422 0.001078948 0.0010652966 0.0009780251 0.0013110217 0.0012534908 0.0010477448 0.0010623713 0.0032158792 0.0013958554 0.001010691 0.0017122753 0.0020925642 0.0010228797 0.0010131288 0.0011179519 0.0017746817 0.0011447673 0.0010974748 0.0011164893 0.0015099421 0.0010545705 0.0012081487 0.0012832314 0.0017113002 0.0011613439 0.0011311158 0.0010662717 0.0019472744 0.0012388644 0.0018975443 0.008322477 0.6193806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004177951 5.8535215e-06 5.1218312e-06 5.6096246e-06 5.1218312e-06 3.4145542e-06 7.804695e-06 4.634038e-06 4.634038e-06 6.8291083e-06 6.097418e-06 4.390141e-06 2.682864e-06 5.365728e-06 5.1218312e-06 9.024179e-06 0.0009348562 9.024179e-06 8.707113e-05 6.585212e-06 2.3414086e-05 1.4877701e-05 0.00020414156 0.00012097278 2.682864e-06 1.0731456e-05 4.634038e-06 1.2194837e-06 2.4389674e-06 2.4389674e-06 1.5121597e-05 5.829132e-05 0.003844544 0.00012536292 0.00028170072 3.1950472e-05 0.00034413827 0.00019633687 0.00084924843 0.00044267255 1.6828873e-05 4.024296e-05 2.0487325e-05 1.0731456e-05 1.3902113e-05 2.0975118e-05 5.9510803e-05 0.00019487349 0.0018638588 7.4144606e-05 7.8046956e-05 3.2438264e-05 9.999766e-05 0.0001787763 0.00012511903 9.341245e-05 2.0975118e-05 2.4145776e-05 2.1219015e-05 1.4389907e-05 1.8292254e-05 9.194906e-05 3.438944e-05 0.00022584837 0.004111855 0.0001941418 0.00035535754 0.00017072771 0.00029340776 0.0005287681 0.0010426585 0.0006553505 0.00010731456 4.3413616e-05 5.6340145e-05 4.8291553e-05 5.536456e-05 7.097395e-05 8.8534514e-05 0.00016950823 0.0023675056 0.00010316831 0.00027413992 0.0002165803 0.00028877374 0.0005338899 0.00081095664 0.00046779393 8.121761e-05 3.7072303e-05 4.6340378e-05 4.243803e-05 4.3657514e-05 5.1706105e-05 5.6096247e-05 7.3169016e-05 0.0023765296 0.0004097465 0.00033048008 0.002604817 0.0004107221 0.00050340284 0.0006736428 0.0004168195 0.0003287728 0.00022243381 0.00022560447 0.00023389696 0.00047267185 0.00022170212 0.00025170142 0.000307066 0.0026009148 0.00035584532 0.0002017026 0.0005475482 0.0011789968 0.00084266317 0.00025121364 0.00029731012 0.0023009218 0.00018804437 0.00014121621 0.00019194673 0.0011468024 0.00021145846 0.000701447 0.0018289816 0.012885064 0.0021645834 0.0011804602 0.0017941043 0.0049103727 0.004843789 0.0016989846 0.0022489717 0.009858794 0.00068827654 0.00073461694 0.0012519219 0.0050240285 0.0012982623 0.0037967404 0.0075590913 0.004390141 0.0009533923 0.0006560822 0.0010550972 0.0011621679 0.0019548323 0.0007204709 0.0012519219 0.0028343238 0.00021340964 0.0003195047 0.00050072 0.0017355691 0.00072656834 0.0014294788 0.0025738422 0.015673291 0.015498173 0.015480857 0.015666462 0.015589147 0.015504271 0.015515246 0.015314763 0.015474516 0.01552671 0.015405981 0.015552563 0.015499881 0.015561099 0.015319885 0.0156689 3289.0 8.236242 27089.0 0.025840746 0.0052788956 0.0066447635 0.0057218797 0.0103362985 0.005315811 0.006238695 0.007899886 0.006792425 0.0062017795 0.005758795 0.0063494407 0.007493817 0.0065340176 0.009856399 0.005537303 0.012735797 0.01247739 0.013769426 0.011628336 0.011886744 0.011074606 0.009524161 0.009708738 0.011702167 0.008859685 0.01041013 0.0093765 0.013068035 0.012920373 0.010890029 0.014766141 0.015984347 0.009118092 0.005315811 0.009007346 0.009265753 0.007346155 0.007973717 0.007493817 0.007419986 0.007013917 0.0064601866 0.0059064566 0.008232124 0.006386356 0.006164864 0.004909742 0.013474104 0.0060172025 0.006903171 0.009671822 0.009708738 0.0070508323 0.009634907 0.010483961 0.008269039 0.0056111338 0.0056111338 0.0069400864 0.006238695 0.0060172025 0.006718594 0.011702167 0.008379785 0.023478165 0.010668537 0.017202554 0.017276386 0.03647237 0.009634907 0.0093765 0.010262468 0.019934291 0.0074569015 0.007530732 0.02026653 0.010594706 0.020155782 0.027981838 0.012625051 0.00627561 0.02495478 0.020081952 0.031784117 0.012292813 0.008601277 0.005943372 0.0093765 0.00945033 0.005832626 0.006054118 0.0078260545 0.005426557 0.0053896415 0.0047620805 6.395815 0.0 0.0 0.0 18.0 2051072.0 2064384.0 1.0 0.0 76.0 1.0 1.0 0.0 1.0 0.0 1542021000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 14.0 15.0 6.0 0.0 6.0 0.0 1961984.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 67072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1961984.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.554525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2117863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2406073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6141477 0.0 3.9752777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 66860.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11268.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1961610.0 0.0 2456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2031180.0 2456.0 2048000.0 0.0 0.0 0.0 0.0 10596.0 2052096.0 28.0 2019376.0 0.0 0.0 0.0 0.0 24.0 2019568.0 64.0 2019408.0 0.0 0.0 308.0 1966080.0 0.0 0.0 0.0 0.0


Input: 0.056862853 0.008317542 0.006173224 0.005656884 0.0057586976 0.004963929 0.0041951328 0.0054252064 0.0050511975 0.00563195 0.003749439 0.004466289 0.004960812 0.003171803 0.0043249973 0.0046439436 0.0050418475 0.0037629448 0.004931723 0.004156693 0.0043561645 0.003173881 0.004110981 0.0038356688 0.005082365 0.0033401072 0.0031645307 0.0029276584 0.004147343 0.003437765 0.003787879 0.0037930734 0.0061784186 0.0038138516 0.0034824382 0.0030211606 0.004892244 0.0041650045 0.0038439801 0.003723466 0.0047280956 0.003893848 0.0033349125 0.0030970012 0.0043707094 0.003723466 0.003723466 0.0035884073 0.0055197477 0.0039499495 0.0031042737 0.0028933743 0.0036850264 0.0030772618 0.0026866305 0.002862207 0.0041764323 0.0033110175 0.0035156833 0.003341146 0.004009167 0.0032185542 0.0035052942 0.0034533485 0.00660749 0.0039509884 0.0036185358 0.0032268655 0.004158771 0.0032164764 0.0035375005 0.0030658338 0.0050034076 0.0037806064 0.0037058047 0.003582174 0.0041421484 0.0031229742 0.0035458119 0.0034585432 0.005175867 0.0036310027 0.0036476254 0.00332764 0.0039291712 0.0033785468 0.003364002 0.003543734 0.004651216 0.003642431 0.0038045014 0.0035052942 0.0041047474 0.0033827026 0.0036902209 0.0038003458 0.005914535 0.0036330807 0.003341146 0.0029525922 0.004014362 0.0030502502 0.0032632274 0.0030315497 0.0049732793 0.0031655696 0.0031946592 0.0030471333 0.0035738626 0.0028310395 0.0030834954 0.0031936201 0.004505768 0.003281928 0.0032227098 0.003137519 0.00389177 0.0033317958 0.003292317 0.0036268472 0.004625243 0.003292317 0.0034762048 0.0031645307 0.0040330626 0.0031936201 0.003473088 0.0033432238 0.008661422 0.0045982315 0.00401644 0.0035291894 0.0043675927 0.0034315314 0.003017005 0.0033951695 0.004541091 0.003833591 0.002957787 0.0031946592 0.0037296996 0.0027925996 0.0028435064 0.0029816818 0.005229891 0.0032019315 0.0034897106 0.0030211606 0.0036590535 0.0031811532 0.0033089397 0.003269461 0.004541091 0.002846623 0.0030419389 0.0026970196 0.0035115278 0.0032279044 0.0029827207 0.0031499858 0.005009641 0.00341387 0.003281928 0.0027957163 0.0037774898 0.003015966 0.0030481725 0.0031790754 0.004133837 0.002992071 0.0031167406 0.003006616 0.003642431 0.002836234 0.0029110357 0.0030367442 0.004673033 0.0031208964 0.0038398246 0.0028507789 0.0035665901 0.0031562194 0.0029899932 0.0031157017 0.0042585065 0.0031468691 0.0033359514 0.0031634918 0.003653859 0.003183231 0.0033214067 0.003341146 0.0067238486 0.0040559187 0.0037286608 0.003342185 0.0041130586 0.0032528383 0.0033016673 0.00323206 0.0043301918 0.003330757 0.0031094681 0.0030803788 0.0036413919 0.0029733705 0.0030772618 0.0027967552 0.004252273 0.0032767332 0.0030938846 0.0029962268 0.003723466 0.0030128493 0.0029328528 0.0029473978 0.003976961 0.0031084293 0.0027323426 0.002632607 0.0035406174 0.0029411642 0.003581135 0.0028788294 0.0049441895 0.0032362158 0.003388936 0.0029660983 0.0038024236 0.0030689507 0.0031936201 0.0029048023 0.0044538225 0.0054542962 0.0034658157 0.0031406356 0.0037816453 0.0030741452 0.0032414102 0.003182192 0.0046086204 0.0033120564 0.003414909 0.0030429778 0.0037400888 0.0030834954 0.003316212 0.0032372547 0.004352009 0.0030367442 0.00318427 0.0028674013 0.00401644 0.0030938846 0.004228378 0.004529663 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.004598589 0.00029203176 0.00027797674 0.00026756563 0.00030192232 0.00024622286 0.00032638843 0.00030868954 0.00033107342 0.00035189567 0.00033003232 0.000355019 0.0005205557 0.00015824893 0.00018375616 0.0007449152 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.099340245 0.062007554 0.06246304 0.05529603 0.060595285 0.059564065 0.05492227 0.054459497 0.060468793 0.05313104 0.052088886 0.052903555 0.056388676 0.050514206 0.056601062 0.05381869 4019.0 5.7041554 22925.0 0.017099237 0.010468921 0.009378408 0.008593239 0.013478735 0.012431843 0.011908397 0.011428571 0.012562704 0.009770992 0.008505998 0.008593239 0.01391494 0.010512541 0.011821156 0.009989095 0.016706653 0.011995638 0.00868048 0.0075027263 0.009814613 0.008462377 0.00789531 0.008418757 0.010294438 0.008462377 0.0095528895 0.008898582 0.011515812 0.008942203 0.009727372 0.009203926 0.018058887 0.010905125 0.010381679 0.009116685 0.010905125 0.008811342 0.010774264 0.0082878955 0.014263904 0.011603054 0.009727372 0.008942203 0.011428571 0.009378408 0.011646674 0.0095528895 0.01478735 0.009640131 0.009945475 0.008985823 0.012039258 0.009422028 0.0095528895 0.009945475 0.013696837 0.009247546 0.010468921 0.009509269 0.011123228 0.009814613 0.010381679 0.0106870225 0.017928027 0.010992367 0.0096837515 0.008200655 0.01308615 0.008244275 0.009378408 0.008331516 0.015441658 0.009291166 0.008942203 0.00868048 0.011384951 0.007938932 0.009945475 0.00789531 0.013217012 0.007938932 0.00868048 0.008811342 0.011384951 0.009378408 0.008244275 0.007938932 0.010992367 0.008942203 0.0120828785 0.008505998 0.01129771 0.008898582 0.010032715 0.0087241 6.554555 0.0 0.0 0.0 14.0 962544.0 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: 0.056723777 0.008304453 0.0061829984 0.0056606666 0.005756013 0.004963188 0.0042024907 0.0054254103 0.0050543887 0.00562543 0.0037558142 0.0044719474 0.00495697 0.0031702635 0.0043196008 0.0046388037 0.0050357343 0.003772396 0.004928988 0.0041651814 0.0043527647 0.0031764817 0.0041050715 0.0038490875 0.005072007 0.0033568107 0.0031588634 0.0029287888 0.004149636 0.0034345386 0.0037869052 0.0037879415 0.0061747073 0.0038200691 0.0034863572 0.0030282806 0.004907224 0.0041631083 0.0038449422 0.003719541 0.0047217133 0.0038957244 0.0033309013 0.003096681 0.0043683103 0.003724723 0.0037257592 0.0035910308 0.005516611 0.0039465064 0.0031060085 0.0029008067 0.0036801589 0.0030697354 0.0026883504 0.002862461 0.0041662175 0.0033091374 0.0035236666 0.0033568107 0.0040024705 0.0032251913 0.0035070847 0.0034500842 0.006602729 0.003942361 0.0036200492 0.0032210457 0.0041579264 0.0032220823 0.0035516487 0.0030666264 0.0049973885 0.0037775778 0.0037008864 0.0035899945 0.0041247625 0.0031246631 0.0035547577 0.0034614843 0.005166317 0.0036324856 0.0036594314 0.0033454106 0.003927852 0.0033754653 0.0033609562 0.0035329938 0.004648131 0.0036407767 0.0038076327 0.0035039755 0.0041102534 0.0033868654 0.003686377 0.0037858689 0.005914578 0.0036314493 0.0033371195 0.00294848 0.0040024705 0.0030448625 0.0032645734 0.0030324261 0.0049725156 0.0031619726 0.003202391 0.0030458989 0.0035785944 0.0028344789 0.0030832083 0.0031941002 0.004504075 0.0032873736 0.0032272642 0.0031422814 0.0038926152 0.0033319376 0.0032904828 0.003625231 0.004626367 0.0032904828 0.0034853208 0.0031733727 0.0040397802 0.0031868455 0.003471848 0.0033402287 0.008643347 0.004595276 0.0040107616 0.0035226303 0.0043641645 0.0034324657 0.003021026 0.003385829 0.004539312 0.003841833 0.0029578072 0.0031920273 0.003736123 0.0028002786 0.0028448426 0.0029816437 0.005230572 0.0032034274 0.0034936117 0.0030282806 0.0036573587 0.0031775183 0.0033091374 0.0032645734 0.0045382753 0.002840697 0.0030386443 0.002707005 0.0035215938 0.0032283005 0.0029816437 0.0031505725 0.0050087883 0.003410702 0.0032728645 0.002796133 0.003775505 0.003007553 0.0030531534 0.0031827001 0.004139272 0.003004444 0.0031215542 0.0030116986 0.0036449223 0.002837588 0.0029163524 0.0030313896 0.0046605673 0.003113263 0.0038387238 0.002857279 0.0035651214 0.0031526452 0.0029888984 0.0031163723 0.0042501637 0.0031495362 0.003338156 0.0031827001 0.0036521768 0.003199282 0.0033329742 0.0033423014 0.0067167305 0.0040636165 0.0037185047 0.0033371195 0.004112326 0.0032573189 0.0033018829 0.0032210457 0.004332037 0.003329865 0.0031122267 0.0030832083 0.0036480313 0.0029888984 0.0030842447 0.0027899148 0.004242909 0.0032821917 0.0030883902 0.0030002985 0.0037143591 0.0030262077 0.002935007 0.00294848 0.003980707 0.0031111904 0.0027225506 0.0026406772 0.0035371394 0.0029495163 0.0035817034 0.0028883703 0.0049590426 0.0032334824 0.003402411 0.0029712801 0.0038076327 0.0030707717 0.0031982455 0.0029090976 0.0044470746 0.005450283 0.0034645933 0.0031288087 0.0037900144 0.0030883902 0.0032511007 0.0031951366 0.0046128943 0.0033163922 0.0034210656 0.003040717 0.0037350866 0.0030925355 0.0033101737 0.0032397006 0.004350692 0.0030282806 0.0031941002 0.0028645336 0.0040097255 0.003093572 0.0042273635 0.0045185843 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099234216 0.062020022 0.0624808 0.055324703 0.060594093 0.059570312 0.054925155 0.054473713 0.060462296 0.053141188 0.052114815 0.052946605 0.05640816 0.050551377 0.056669164 0.05382302 4027.0 5.703998 22970.0 0.017239878 0.010491946 0.009316499 0.008663474 0.013408794 0.012451023 0.011841533 0.011493252 0.012625163 0.00975185 0.008445798 0.008619939 0.013887679 0.010535481 0.011841533 0.009969525 0.016717458 0.012015672 0.008707009 0.007575098 0.00983892 0.008532869 0.007879843 0.008358729 0.010361341 0.008445798 0.009621245 0.008881149 0.011536787 0.009011755 0.009621245 0.00914236 0.01802351 0.010883762 0.010361341 0.009098824 0.010840226 0.00879408 0.010709621 0.008271659 0.01423596 0.011623858 0.009708315 0.0089246845 0.011406182 0.009316499 0.011667392 0.009534175 0.014801916 0.00957771 0.010013061 0.009098824 0.012015672 0.009360035 0.009534175 0.009795385 0.013670004 0.009272965 0.010491946 0.009534175 0.0111449715 0.00983892 0.0104048755 0.010666086 0.017936438 0.010970832 0.00966478 0.0081845885 0.013060514 0.008228123 0.009360035 0.008358729 0.015411406 0.009272965 0.008881149 0.008707009 0.011362647 0.008053984 0.00992599 0.007836308 0.0132346535 0.007966913 0.008663474 0.00879408 0.011493252 0.009534175 0.008228123 0.007836308 0.010927296 0.008881149 0.012015672 0.008576404 0.011406182 0.008968219 0.010056595 0.008750544 6.5545244 0.0 0.0 0.0 14.0 964904.0 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: 0.8400514 0.0015320348 0.0014246685 0.0010497123 0.0012099359 0.0008828815 0.0011678152 0.0008589306 0.0009456495 0.000737524 0.0012594896 0.00064254616 0.000643372 0.00067310425 0.00073669816 0.0006805373 0.0007424794 0.0012297573 0.0008011179 0.0009159173 0.00065410865 0.00061859516 0.0008506716 0.0007276133 0.0007243097 0.0006334613 0.0006342872 0.00063759077 0.0006334613 0.0007408276 0.0006441979 0.00073669816 0.001091007 0.00058308174 0.0005715192 0.0006020773 0.00054674235 0.0006309836 0.0006565864 0.0005566531 0.0009935515 0.0005583049 0.000683015 0.00092913164 0.0006970552 0.0006805373 0.0006656712 0.0005863853 0.00067310425 0.00067227834 0.00064006844 0.0006450238 0.0005797781 0.0005715192 0.00056491204 0.0005384834 0.0009596897 0.0006029032 0.000580604 0.00057399686 0.00057482277 0.00063676486 0.0005318762 0.00056078256 0.00055995665 0.0007077918 0.00060620677 0.000651631 0.00058225583 0.0006475015 0.0006152916 0.0005797781 0.0006161175 0.00060455495 0.00058721117 0.000611988 0.00060620677 0.0006078585 0.0005673897 0.00059629604 0.00061859516 0.0005880371 0.0006070327 0.0006706266 0.0005756487 0.0005368316 0.00057647453 0.00060455495 0.00059134065 0.00064254616 0.00059629604 0.0005525236 0.0005839076 0.00057317095 0.0005087512 0.00061033625 0.0005583049 0.00081598404 0.00062768004 0.0006698007 0.00071770255 0.0010786186 0.0006508051 0.00067310425 0.0006128139 0.00078625185 0.0005690415 0.00058225583 0.0007779929 0.00071357307 0.0007573455 0.00096051564 0.0008465421 0.00056408613 0.0010257614 0.0008680154 0.000934087 0.0006805373 0.0006029032 0.0005624343 0.00062437647 0.00065576046 0.0005360057 0.00070531416 0.0005533495 0.00064997916 0.0005797781 0.00052939856 0.00071687665 0.0005566531 0.0005170101 0.00051040296 0.0005343539 0.0005525236 0.0005706933 0.0005483941 0.0005698674 0.00055582717 0.0005004922 0.0005203137 0.00056160847 0.0006004255 0.000588863 0.0005797781 0.0006128139 0.0006004255 0.0005211396 0.0005632602 0.00053765747 0.00053352804 0.0005343539 0.00054591644 0.00053765747 0.00060868444 0.00052774674 0.00051122886 0.00052857265 0.0005227914 0.0005632602 0.0005128807 0.0005946442 0.00054591644 0.0006318095 0.00056078256 0.00055582717 0.0005128807 0.0005186619 0.00056078256 0.0005541754 0.0005211396 0.0005186619 0.00053352804 0.00055582717 0.00051370653 0.00057482277 0.0005541754 0.00050214404 0.0005227914 0.0005070994 0.0005368316 0.00054178695 0.0005533495 0.00056078256 0.00054178695 0.0005351798 0.0005550013 0.00057812635 0.0005533495 0.00057317095 0.0005401352 0.00051122886 0.00053352804 0.0005186619 0.00051535835 0.00059134065 0.0005318762 0.0005004922 0.00053022447 0.0004955369 0.00052857265 0.0005310503 0.00054591644 0.0005360057 0.00051453244 0.0005583049 0.00058308174 0.0005566531 0.0005550013 0.0005756487 0.0005797781 0.0005723451 0.0005393093 0.0005434388 0.00056160847 0.0005847335 0.0005087512 0.00056408613 0.00054922 0.00054756826 0.00053765747 0.00056160847 0.00055087183 0.00056491204 0.0005434388 0.0005384834 0.00054922 0.0005219655 0.00055582717 0.0005186619 0.0005442647 0.0005500459 0.0005360057 0.0005227914 0.0005360057 0.0005227914 0.0005318762 0.0005541754 0.00053022447 0.0005483941 0.00054756826 0.00053270214 0.0005690415 0.00051122886 0.0005368316 0.00051618426 0.00053022447 0.000557479 0.00052939856 0.0005343539 0.00054756826 0.0005343539 0.0005583049 0.00056491204 0.0005797781 0.00057317095 0.0015237759 0.82811177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000748753 0.0 2.0672365e-05 1.074963e-05 2.0672364e-06 8.2689456e-07 3.679681e-05 2.6874073e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005118477 8.2689456e-07 0.0001372645 2.5220284e-05 7.855499e-06 4.54792e-06 9.757356e-05 5.7055728e-05 8.2689456e-07 4.1344728e-07 0.0 1.2403418e-06 0.0 0.0 2.0672364e-06 0.0 0.0029478793 0.00026088525 0.00015669652 0.00017364786 0.0003138065 0.00017075373 0.0008492207 0.00052053016 6.6565015e-05 0.00010956353 0.00010129459 6.6151566e-05 4.6719542e-05 5.0854018e-05 4.3411965e-05 4.920023e-05 0.004105945 0.00040187076 0.0005118477 0.0004895216 0.0005143284 0.00040889936 0.0010245224 0.00061686337 0.000104602164 5.2094358e-05 2.2326154e-05 4.8373335e-05 2.6874073e-05 2.3153048e-05 2.8114417e-05 8.806428e-05 0.00578082 0.0014375562 0.0010009559 0.0004791854 0.00033902677 0.0003129796 0.0008856041 0.000898421 0.0002658466 0.00017695544 0.00013188968 9.550632e-05 0.00014801414 0.00017364786 9.591977e-05 0.00047877195 0.0035242247 0.0012043719 0.0007553682 0.00045603237 0.00020589675 0.0002563373 0.0002133388 0.00048456024 0.00010253493 0.00011039043 0.00010749629 7.8968435e-05 3.472957e-05 9.0544956e-05 5.044057e-05 0.000792165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00047257025 0.0001529755 9.2198745e-05 7.648775e-05 7.772809e-05 8.062222e-05 8.1449114e-05 9.013151e-05 0.00010542906 6.5324675e-05 6.6565015e-05 6.077675e-05 6.367088e-05 7.276672e-05 7.028604e-05 6.449778e-05 0.00827308 0.008454584 0.008323108 0.0082032075 0.00828259 0.00821065 0.008361971 0.008221813 0.0083454335 0.0082557155 0.008386779 0.008297887 0.008281763 0.008482285 0.0083268285 0.008230495 1093.0 8.221409 8986.0 0.011017138 0.00500779 0.00712219 0.0054529267 0.00500779 0.0048965057 0.0064544845 0.0046739373 0.006231916 0.005675495 0.0063432003 0.01001558 0.005564211 0.0054529267 0.014355664 0.007678611 0.008012464 0.0064544845 0.00712219 0.0067883376 0.0053416425 0.0046739373 0.005119074 0.0037836635 0.006120632 0.004562653 0.005119074 0.0041175163 0.006565769 0.0052303583 0.006565769 0.0060093477 0.0054529267 0.012686401 0.0097930115 0.012241264 0.008123748 0.0097930115 0.007567327 0.008012464 0.007010906 0.010238148 0.0053416425 0.00712219 0.0052303583 0.010572001 0.006120632 0.0073447586 0.007456043 0.006565769 0.008346316 0.016247496 0.008346316 0.006231916 0.0057867793 0.00712219 0.0043400847 0.004562653 0.0047852215 0.0047852215 0.004006232 0.006120632 0.0036723793 0.0109058535 0.0057867793 0.030380592 0.011128422 0.019363454 0.018250613 0.06320944 0.009570443 0.015134654 0.008791453 0.030937012 0.00712219 0.006231916 0.026040507 0.018361896 0.027264634 0.031048298 0.015023369 0.0054529267 0.03638994 0.03138215 0.05063432 0.015691075 0.01079457 0.006565769 0.008791453 0.015357222 0.00500779 0.005119074 0.0048965057 0.0053416425 0.0053416425 0.005119074 6.1712856 0.0 0.0 0.0 5.0 1210808.0 229376.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541575000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 203776.0 512.0 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 -203776.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.814615 0.0 4.4503946 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 -203584.0 0.0 2810.0 0.0 0.0 0.0 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 74.0 211696.0 2810.0 212992.0 0.0 0.0 0.0 0.0 12.0 221184.0 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: 0.27124694 0.017475361 0.009083882 0.006221209 0.008479679 0.0026508546 0.0028182259 0.0028807295 0.00801854 0.0024654267 0.0054461625 0.0014868954 0.004855849 0.0020383175 0.0012528534 0.005755903 0.007178906 0.005508666 0.0020556797 0.0014681442 0.002911287 0.0038939852 0.0010896492 0.0008292168 0.0021112387 0.0008472734 0.0009222779 0.002636965 0.0018424725 0.001149375 0.0009785313 0.0011368742 0.0090005435 0.0008118546 0.0017001027 0.00091116613 0.0040301047 0.0016264871 0.0011132617 0.00092158344 0.002148741 0.001225074 0.0014320309 0.0020897095 0.0016542666 0.0015480102 0.002323057 0.0016084305 0.006915001 0.0016264871 0.0014903678 0.0063101035 0.0016820461 0.0019987319 0.0010417296 0.0011000665 0.001732049 0.002397367 0.0012528534 0.0042884536 0.0017473277 0.0019042817 0.00095283537 0.0014042516 0.0062017636 0.0031529684 0.0023452805 0.0043342896 0.004503744 0.007999789 0.0029432334 0.001966091 0.0018806692 0.003726614 0.00079865934 0.0008118546 0.0026126578 0.0039648227 0.0021994384 0.0017494112 0.0076004593 0.0019119211 0.0017501058 0.0045613865 0.0019105321 0.0030800472 0.0046752826 0.0038669002 0.001814693 0.0029474003 0.0007931035 0.0013799445 0.0014625883 0.0019862312 0.0022681926 0.0026918293 0.0013834169 0.0045849993 0.0012361858 0.0028022525 0.0030765748 0.008589407 0.004701673 0.0017195484 0.004362069 0.004992663 0.0042634523 0.0011063168 0.004139139 0.0021029047 0.0048850174 0.0054336614 0.0042224773 0.00075282325 0.0059107738 0.0043898486 0.012261158 0.010511052 0.0019216439 0.0038682893 0.0020035934 0.001354943 0.0007868531 0.0009445015 0.0015702337 0.002502929 0.0012507701 0.0012195181 0.007291413 0.0018813637 0.0009826983 0.007667824 0.0024911228 0.006690682 0.0011861827 0.00085421826 0.0066601248 0.006556646 0.0018737243 0.015683586 0.0010431185 0.0067330454 0.00079102 0.0024355638 0.0014903678 0.0006437889 0.00077365787 0.000639622 0.001050758 0.0009597802 0.0008465789 0.0007215714 0.0010813153 0.0028647564 0.0008813032 0.00071393204 0.0011188176 0.00085491274 0.00070143124 0.00077226886 0.0013132738 0.0015188417 0.00085213484 0.0010549248 0.0010653421 0.0011056224 0.00079449243 0.0009847818 0.0012243795 0.00084588444 0.0011424301 0.0010104777 0.0016660729 0.00065559515 0.0007799082 0.00073337764 0.0011465971 0.0007965759 0.00081046566 0.00084102305 0.0009868651 0.00088616466 0.0013736942 0.0016757956 0.0017132979 0.00092297245 0.0006840691 0.0010785374 0.0017764962 0.0010090887 0.0010215895 0.0008903316 0.007712966 0.002197355 0.0023063894 0.0030043481 0.002984208 0.00074865634 0.002014705 0.002893925 0.0018473339 0.0023605593 0.0010889546 0.0008854702 0.009526964 0.00070768164 0.0016757956 0.0009826983 0.0015618999 0.0011472915 0.0014424482 0.0014417538 0.0012577149 0.00072434935 0.0011966 0.0011834048 0.0018355276 0.0009820038 0.0008465789 0.0013202187 0.0012757715 0.0008076877 0.00091672206 0.0007062927 0.0028244762 0.0010243674 0.0008556073 0.0008750529 0.0019910925 0.00074865634 0.0012729936 0.0011729875 0.009409596 0.002255692 0.00096394715 0.0056489524 0.0035571593 0.0008750529 0.001046591 0.0012104898 0.003862039 0.0013361919 0.0012542425 0.0031432454 0.0023438917 0.0011799324 0.004328734 0.0030043481 0.0044773538 0.0016799626 0.001783441 0.001889003 0.0052933753 0.00189317 0.0039551 0.06849233 0.025576206 3.8228427e-06 6.950623e-07 4.170374e-06 3.1277802e-06 3.1277802e-06 5.212967e-06 3.4753114e-06 3.4753114e-06 3.4753114e-07 3.8228427e-06 1.7376557e-06 6.950623e-07 3.4753114e-07 0.0 1.2511121e-05 0.0034120607 1.6333963e-05 3.058274e-05 1.2511121e-05 1.4248777e-05 1.1468527e-05 1.1468527e-05 6.2555605e-06 5.5604983e-06 4.517905e-06 5.212967e-06 6.9506227e-06 3.4753114e-06 6.6030916e-06 4.517905e-06 6.9506227e-06 0.009894559 4.4136454e-05 0.00016716248 2.9192615e-05 5.0392016e-05 4.1703737e-05 0.00010842972 8.236488e-05 4.6569174e-05 2.3632118e-05 3.371052e-05 2.745496e-05 2.3979648e-05 2.780249e-05 2.8845085e-05 4.622164e-05 0.0056668427 4.4483986e-05 8.549266e-05 5.0044484e-05 0.0011465052 0.0004027886 8.723031e-05 5.6995108e-05 7.437167e-05 2.710743e-05 3.2320397e-05 2.9192615e-05 2.5717305e-05 2.4674711e-05 4.622164e-05 2.9192615e-05 0.016896617 0.0003437083 0.00033189222 0.00019148966 0.00024744216 0.00013901245 0.00043580405 0.00033710522 0.00030582742 0.00010078403 8.723031e-05 7.020129e-05 9.591859e-05 7.402413e-05 0.00010773465 0.0001640347 0.0044588246 8.3407474e-05 9.244328e-05 8.271241e-05 8.3059946e-05 5.560498e-05 0.00018141125 0.00010530194 7.784698e-05 1.9114214e-05 4.031361e-05 3.9966082e-05 3.3015458e-05 3.5795707e-05 0.0008424155 0.00017446063 0.0067063086 0.00012094084 0.0002154693 0.00015986433 0.0002766348 0.00016055939 0.0005056578 0.00030200457 9.279081e-05 5.3519794e-05 5.9427824e-05 5.24772e-05 5.838523e-05 4.552658e-05 0.00013379949 0.0003093027 0.023355482 0.0004653442 0.0018506033 0.0006738629 0.0018016014 0.0008166982 0.004642321 0.0024285477 0.0004274633 0.00017793594 0.00012545874 0.00021129893 0.00021616436 0.00010842972 0.00022137734 0.0023350618 0.03385162 0.00079271855 0.0021300183 0.0012375584 0.0023027414 0.0010123582 0.005493772 0.0042763706 0.0022297597 0.00061200233 0.00046742937 0.00047924544 0.0014836105 0.00020678103 0.0010676157 0.0064133396 0.043872677 0.0019072508 0.0035893016 0.0030269963 0.00435387 0.0023924042 0.010964955 0.007984528 0.003344292 0.00079410867 0.0007075734 0.0009831656 0.0027781639 0.0005404109 0.0012528497 0.0104398355 0.030207058 0.002941851 0.0033661865 0.002763915 0.0047351117 0.0021314085 0.007757243 0.0050305133 0.0018843139 0.0012712689 0.00095466804 0.0009251279 0.0038701068 0.0006853314 0.0010467637 0.006585715 0.019184414 0.0022127307 0.0019319257 0.0016834409 0.002758007 0.0016177575 0.004209992 0.0026930189 0.0015614574 0.0012910782 0.0014193172 0.0011235682 0.0022412282 0.0012952485 0.0018269712 0.007754115 0.016697828 0.0032650551 0.00209457 0.002020546 0.0021355788 0.0017790119 0.004264207 0.002583894 0.0034447287 0.0017605928 0.0021811053 0.0016507729 0.002944284 0.0015479036 0.0019003003 0.00809261 0.055943824 0.011081378 0.007322481 0.009934525 0.014385357 0.015026204 0.00867959 0.012409294 0.029187404 0.004018503 0.0043851477 0.0056324373 0.013615575 0.0062006507 0.011982874 0.035034616 0.053795736 0.01215803 0.009776399 0.014554257 0.015757062 0.017971182 0.010462772 0.015936041 0.027176935 0.0050058383 0.0053088856 0.0054378198 0.014609861 0.0067997943 0.014339135 0.031408474 0.0023343666 0.0011044539 0.0011670096 0.0014377363 0.0011631867 0.0011680522 0.0015357401 0.0012417288 0.0010137483 0.0009633563 0.00094806496 0.0009536254 0.0009685693 0.0010620551 0.0009567532 0.0011986349 7817.0 14.310605 111866.0 0.035569344 0.0012693759 0.005372499 0.0008671089 0.004970232 0.003995852 0.0013855863 0.0013319508 0.003218136 0.0024314804 0.0026728406 0.0021186061 0.0022973914 0.005792645 0.011254537 0.003548889 0.0121752815 0.00536356 0.0042014555 0.006570361 0.0027711727 0.0020202743 0.0025029946 0.0020828492 0.0028069296 0.004398119 0.003852824 0.0071067167 0.002914201 0.0061233975 0.0021007278 0.004415998 0.0040673665 0.017512023 0.003119804 0.014097223 0.018531099 0.014249191 0.007446409 0.011567411 0.004585844 0.033343464 0.0016358858 0.0026907192 0.009654408 0.009109112 0.010762877 0.0058820373 0.01583144 0.0022348166 0.008599575 0.018906549 0.0075626196 0.0051221997 0.011621047 0.012997693 0.007830798 0.0031913181 0.0018951246 0.0018325497 0.0043355445 0.0021543633 0.0012961937 0.013087086 0.002413602 0.034094363 0.007705648 0.021007277 0.018852914 0.06450575 0.009761679 0.011388626 0.011129387 0.036659934 0.0045053903 0.0028605652 0.027345216 0.0133999605 0.033942394 0.041737437 0.016126437 0.001171044 0.04070942 0.02899898 0.048558097 0.015750987 0.006963689 0.028105054 0.007830798 0.006981567 0.0026549622 0.0034058606 0.000938623 0.0011263476 0.00134089 0.0017699748 5.862563 3.0 36.0 15.0 28.0 1439913.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0067024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.251338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.037888344 0.0051744515 0.004551275 0.0048562135 0.0057149804 0.0054052924 0.0054888893 0.005578186 0.0060503175 0.006619346 0.00572733 0.004822015 0.00468807 0.0043204343 0.004142791 0.00416369 0.004286235 0.0040544444 0.0039537484 0.0041266414 0.0041817394 0.0041237916 0.0040116957 0.004035445 0.0041275914 0.003933799 0.0038217031 0.003829303 0.0039223996 0.0037314568 0.0037704052 0.0037039078 0.0048258146 0.0036583096 0.003675409 0.0036117614 0.0039527984 0.0037428562 0.0035481139 0.0036212609 0.003617461 0.003673509 0.0035661631 0.0036773088 0.0036155612 0.0037846547 0.0036098615 0.0036792087 0.0037409563 0.0036497598 0.003567113 0.0039261994 0.0035766126 0.0036003618 0.0035585633 0.0034284184 0.0036298106 0.0036374102 0.0035718628 0.0037143573 0.0037181573 0.0036231608 0.0036307606 0.0036089115 0.0049388604 0.003724807 0.0035870622 0.0037067577 0.0037067577 0.003981297 0.0037428562 0.0036013117 0.00364501 0.0036782587 0.0034958657 0.0035253146 0.0035794626 0.0037200572 0.0036108114 0.0036089115 0.0038226533 0.0035889621 0.0036839584 0.0044097304 0.003568063 0.0038948504 0.0037200572 0.0036573596 0.0035357643 0.0036060615 0.003489216 0.0035984619 0.0034502675 0.0034550172 0.0036488099 0.003543364 0.0035110652 0.0038065037 0.003540514 0.0036079613 0.0038207532 0.004116192 0.003484466 0.0036269608 0.0036820585 0.0037666054 0.003671609 0.003464517 0.0037067577 0.0035595133 0.0037295567 0.003829303 0.0035509637 0.003333422 0.0039252494 0.003830253 0.0042852852 0.0039717974 0.0035329144 0.0034607172 0.0034759166 0.0034882661 0.003329622 0.0033543212 0.0035585633 0.0035338644 0.0033695207 0.003539564 0.003851152 0.0035053655 0.0034198686 0.0036820585 0.0034835162 0.003620311 0.0034436178 0.0034521674 0.0034673668 0.004030695 0.0035243647 0.0052722977 0.0033780702 0.0037191072 0.0033837701 0.0033657209 0.003434118 0.0033163226 0.003434118 0.003334372 0.0033894698 0.0033552712 0.003229876 0.0033229725 0.0033771202 0.0033799703 0.0033153726 0.0033381719 0.0033771202 0.003407519 0.003306823 0.0033125228 0.0034293684 0.0033809203 0.0034303183 0.0033552712 0.003329622 0.0033258223 0.0033514714 0.003337222 0.0035110652 0.0033799703 0.0033191727 0.0033058731 0.0033685707 0.003408469 0.0033885199 0.0033761703 0.0034293684 0.0032849738 0.0033999195 0.003334372 0.0033628708 0.0033894698 0.0033106229 0.00338567 0.0035110652 0.0033723705 0.0032726242 0.0033666708 0.003283074 0.0033267722 0.0034569174 0.0033543212 0.0039660977 0.0033980196 0.0034977656 0.003880601 0.003673509 0.0033894698 0.0034882661 0.0035747127 0.0033448215 0.0033790201 0.0033552712 0.003331522 0.0033828202 0.003407519 0.003485416 0.0034778165 0.0034483676 0.0034274685 0.0035348143 0.0038036539 0.0035310143 0.003463567 0.0034008694 0.0035642632 0.0036830085 0.0033562211 0.003595612 0.0033799703 0.0034597672 0.0034673668 0.0034284184 0.0033714205 0.0034170188 0.0033685707 0.003357171 0.0033191727 0.003251725 0.0032640747 0.0033505214 0.0033999195 0.004449629 0.0035528636 0.0033818702 0.0036877585 0.0034958657 0.0033695207 0.0033980196 0.0033400718 0.003668759 0.003461667 0.0033790201 0.003359071 0.0034008694 0.0033752203 0.0033923197 0.0034550172 0.0036402603 0.0033942196 0.0034236684 0.003515815 0.00364406 0.0036051115 0.0035072654 0.028516956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00092473906 2.805121e-05 4.7544427e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7544427e-07 0.0 0.0 1.9968658e-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 0.0 0.0 0.0014824352 0.00015832293 2.7575767e-05 1.7591437e-05 1.3787883e-05 4.2789984e-06 1.4263328e-06 0.0 4.7544427e-07 0.0 2.3772213e-06 9.5088853e-07 1.4263328e-06 9.3187075e-05 0.0 0.00014358417 0.0062463866 0.0010169753 0.00034231987 0.00024770646 0.00012551728 6.941486e-05 3.0903877e-05 1.0459774e-05 7.6071083e-06 0.0 1.4263328e-06 1.9017771e-06 0.0 9.3187075e-05 0.0 0.002517002 0.012131436 0.0010949482 0.00072457705 0.0006404234 0.0007326596 0.00027670857 0.0005976334 0.0003147441 8.082552e-05 1.1886106e-05 2.8526656e-06 1.9017771e-06 1.4263328e-06 0.00018922682 2.3772213e-06 0.00461799 0.016700454 0.0028398286 0.0015556536 0.0009237882 0.0011282292 0.00077640044 0.0010222051 0.0006256846 0.0001416824 3.898643e-05 3.565832e-05 3.2805652e-05 2.6624879e-05 0.00036086218 4.0888204e-05 0.0068563814 0.012161864 0.003013841 0.0017496349 0.001274666 0.001142968 0.0009204601 0.00087624375 0.00053439935 0.00017496348 4.897076e-05 3.9461873e-05 1.9968658e-05 2.6149433e-05 0.00042504715 2.3296769e-05 0.00580565 0.0038953149 0.0014377434 0.00080112356 0.00049065845 0.00059573166 0.00075643184 0.0006004861 0.00033661452 0.00011505751 3.9461873e-05 1.9968658e-05 1.1886106e-05 4.6118093e-05 7.939919e-05 1.8066881e-05 0.0024404554 0.00048400226 2.0919548e-05 0.00018114426 2.805121e-05 0.00022298336 5.80042e-05 0.00041316106 0.00023677124 5.3249758e-05 8.082552e-06 2.567399e-05 1.4738772e-05 6.608675e-05 4.4216315e-05 2.3296769e-05 6.703764e-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 0.0022103402 0.00025008369 0.0004811496 0.00043883504 0.00082537124 0.0007160191 0.0004911339 0.000580042 0.0013340965 0.000121238285 0.00013550161 0.00019968659 0.00077640044 0.0003147441 0.00056577864 0.0012703871 0.0050249705 0.0007569073 0.0010260087 0.00094518316 0.0018870382 0.0018913172 0.0013659514 0.0015147654 0.0029853145 0.00033994264 0.0004084066 0.0006456533 0.0018390184 0.00095802016 0.00155185 0.0031498182 0.053615373 0.053021543 0.05299254 0.05319841 0.053195555 0.053217903 0.053542156 0.053402375 0.05372615 0.053036284 0.053344846 0.052928355 0.053271152 0.053362437 0.053199835 0.053914905 4515.0 6.7957916 30683.0 0.029136656 0.008832253 0.010689959 0.0077893296 0.008734479 0.0075937817 0.0073982337 0.007821921 0.008408565 0.009060392 0.008343383 0.008213017 0.008767069 0.008832253 0.009907766 0.009842584 0.009190757 0.008930027 0.008245609 0.008734479 0.008310791 0.008017469 0.008767069 0.007887104 0.008115243 0.008213017 0.007984878 0.0090278005 0.008995209 0.009288531 0.009451488 0.008115243 0.009907766 0.010918098 0.008473747 0.010201088 0.010331454 0.010168497 0.009940358 0.009223348 0.0077567385 0.010559593 0.007235277 0.0076915557 0.009060392 0.009223348 0.009418896 0.010266271 0.010885507 0.008767069 0.009940358 0.01267803 0.009647036 0.009451488 0.009549262 0.008604113 0.008962618 0.009842584 0.008506339 0.00925594 0.008767069 0.009353714 0.008897435 0.008767069 0.0091255745 0.018185966 0.009581853 0.013101717 0.01437278 0.02900629 0.010624776 0.010038132 0.009809992 0.01727341 0.007724147 0.008375973 0.016588992 0.01244989 0.017077861 0.019391846 0.0124173 0.007952286 0.019228889 0.018805202 0.021966562 0.012123978 0.0099729495 0.008995209 0.009288531 0.01000554 0.0077567385 0.007854512 0.0082781995 0.007984878 0.007724147 0.008017469 6.50198 0.0 2.0 0.0 14.0 1052672.0 233472.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 40448.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40448.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 160768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1255684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.650114 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 6.2808285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3728.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40240.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 160612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 160612.0 69632.0 0.0 0.0 13528.0 2860104.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0