Input: 0.11458266 0.024866026 0.0040010815 0.003208129 0.0016282768 0.0033715619 0.002756166 0.017386444 0.021587277 0.0018260104 0.0021730533 0.002356663 0.02092951 0.004735521 0.0036600917 0.019959 0.0034220042 0.0026754583 0.002005585 0.0033231373 0.0019047004 0.0032242704 0.0022174425 0.0025806269 0.0026149277 0.00380133 0.0031213681 0.0023142917 0.0027602015 0.0028388915 0.0042573283 0.0033675265 0.0028187146 0.0018522404 0.0030103952 0.0022618317 0.0061257104 0.005685854 0.025886977 0.002265867 0.003155669 0.0022517433 0.003403845 0.0042795227 0.0035006942 0.004547876 0.0031496158 0.0020015496 0.02019507 0.0025665031 0.0027259006 0.0024192117 0.0023929817 0.0019753196 0.0018280281 0.0014668615 0.0016060821 0.0016928428 0.002776343 0.0014184369 0.0020378681 0.02454723 0.004434885 0.002312274 0.0019874258 0.001874435 0.0031375096 0.0023102562 0.0046265656 0.0015637106 0.0023728048 0.0019672487 0.0026734406 0.0028974044 0.002390964 0.0016504714 0.0018582935 0.0018139043 0.0019430366 0.002703706 0.001515286 0.0035753488 0.0043400535 0.0026290515 0.0030003067 0.0050280862 0.0028792452 0.0031193504 0.0019329481 0.0028308206 0.0023808754 0.003964763 0.0069206804 0.0031798813 0.002201301 0.0026310692 0.004787981 0.0027985375 0.003964763 0.0019188243 0.0024736894 0.0028045906 0.0019168066 0.0018623288 0.002090328 0.0021407702 0.0030144306 0.0020116381 0.002842927 0.0015818698 0.0017856567 0.0025039546 0.0033271727 0.0021589296 0.0022497256 0.0017190728 0.002175071 0.001894612 0.002939776 0.0029438112 0.0022456902 0.004652796 0.0040515237 0.0019833904 0.002116558 0.0015374806 0.0023304333 0.0023304333 0.0039990637 0.0033534027 0.0020257619 0.0038295777 0.002808626 0.0028368738 0.0022557788 0.0022880617 0.0048908833 0.003978887 0.0020600627 0.0026169454 0.0019047004 0.00245553 0.0017089844 0.003220235 0.0019430366 0.0015132683 0.0020419033 0.0018219751 0.0015475691 0.0015939759 0.0028005552 0.0042351335 0.0035087648 0.0052601206 0.004428832 0.004093895 0.0034482342 0.004344089 0.0028651215 0.0022678848 0.0024333354 0.005526456 0.0025806269 0.0019127711 0.00263914 0.0019309304 0.0035107825 0.0042109215 0.0031112798 0.0031375096 0.0020741865 0.0024111408 0.0032827836 0.0019995319 0.0017170551 0.002084275 0.002834856 0.00277029 0.0032444473 0.0025160608 0.0022961325 0.0017231082 0.0026451931 0.0024837777 0.003468411 0.003978887 0.0025120254 0.0027581837 0.0015879229 0.0022961325 0.0013599239 0.0028247675 0.0015294099 0.0025402731 0.0014971268 0.0015818698 0.0018199574 0.0021730533 0.0021266465 0.002846962 0.0015253745 0.0032121642 0.0042189923 0.0039042323 0.0044893627 0.0021730533 0.0023990348 0.0040313466 0.002986183 0.0019551427 0.0019813727 0.0015616929 0.002808626 0.0017775858 0.0016141529 0.0018058335 0.0019248773 0.0018865411 0.002160947 0.0027864315 0.0021044519 0.0032868187 0.003645968 0.005322669 0.0029236344 0.003115315 0.00253422 0.0027884492 0.0020378681 0.0025180785 0.0018058335 0.0037125517 0.0017755682 0.0032585713 0.0021629648 0.0037589585 0.004321894 0.0032303235 0.0031233858 0.001900665 0.0023405217 0.001541516 0.0023223625 0.00506844 0.0021205933 0.0030063598 0.00380133 0.002842927 0.0019551427 0.0015879229 0.0030144306 0.019028844 0.0021306819 0.0020943633 0.0017957451 0.019785479 0.020703934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019167314 1.0109343e-05 2.7295226e-05 1.0109343e-05 3.0328029e-05 8.087474e-06 1.0109343e-06 1.0109343e-06 1.8196817e-05 1.2131211e-05 0.0 0.0 1.5164014e-05 3.0328029e-06 1.0109343e-06 1.6174949e-05 0.0073141092 5.2568583e-05 4.8524846e-05 0.00027295225 7.986381e-05 4.8524846e-05 0.00018196816 8.087474e-05 4.448111e-05 2.830616e-05 2.3251489e-05 1.6174949e-05 2.830616e-05 1.5164014e-05 2.9317094e-05 1.7185883e-05 0.0035443355 2.3251489e-05 6.672166e-05 1.9207751e-05 4.043737e-05 2.122962e-05 0.00016781509 8.289661e-05 2.9317094e-05 1.9207751e-05 1.7185883e-05 1.9207751e-05 9.098409e-06 2.6284291e-05 2.4262423e-05 3.0328029e-05 0.0016751181 2.4262423e-05 1.7185883e-05 2.830616e-05 3.8415503e-05 2.6284291e-05 1.9207751e-05 1.8196817e-05 3.5382698e-05 3.133896e-05 3.133896e-05 3.8415503e-05 1.2131211e-05 2.7295226e-05 2.5273357e-05 2.2240554e-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 0.031707954 0.0007885287 0.0007804413 0.0011878478 0.0007935834 0.00072686176 0.00082391145 0.0007986381 0.00084918475 0.00071473053 0.0007319164 0.0007369711 0.00072686176 0.00074101484 0.00070866494 0.000661151 0.022055553 0.000522653 0.00085120666 0.0008471629 0.000830988 0.0006298121 0.0015891887 0.0011413448 0.00056915596 0.0006247574 0.00051759835 0.00054186076 0.00052871864 0.0005550029 0.00060049497 0.0007207961 0.00707654 0.00025475543 0.00092399394 0.0007986381 0.00040032997 0.00035888166 0.0015548168 0.00095432193 0.00033967392 0.00020825246 0.00021027433 0.00019511032 0.00023251488 0.00017893537 0.0002183618 0.0005873528 0.013421163 0.0006075715 0.0022382084 0.0024505046 0.0006732822 0.0006480089 0.000430658 0.00049131404 0.00073292735 0.0005924075 0.0005671341 0.00048727033 0.0006197027 0.00058432 0.00063891045 0.0017317304 0.029153323 0.0016629868 0.0064315638 0.010676477 0.0012798428 0.0020067045 0.0014233955 0.0014426032 0.001646812 0.0018682065 0.0017014024 0.0014931499 0.0015042702 0.0014173299 0.0017711568 0.009054938 0.02811105 0.0024515155 0.007578974 0.012867171 0.0018469769 0.0027891677 0.0020036716 0.0021017324 0.0023777173 0.0027022273 0.0024232094 0.002119929 0.002306952 0.0020329887 0.0023787282 0.012934904 0.013162364 0.0018065395 0.0043763346 0.005798719 0.0017661022 0.0020067045 0.0013314005 0.001399133 0.0024980186 0.0016104183 0.0014820297 0.0014062095 0.0017559928 0.0013940784 0.0016538885 0.004171115 0.025267292 0.004968742 0.010936287 0.010393416 0.0045785215 0.005592488 0.004015431 0.00404677 0.0060989666 0.0046563633 0.0045775105 0.004204476 0.004658385 0.0041761696 0.0049121296 0.01078869 0.042584594 0.033331513 0.042057898 0.03119541 0.025467455 0.03736615 0.026978802 0.028160585 0.031070054 0.034738734 0.032370117 0.030120786 0.029753817 0.02853463 0.03208604 0.033852145 1467.0 6.833674 10025.0 0.012967581 0.008977556 0.017057357 0.006284289 0.019950125 0.013765586 0.029925186 0.009775561 0.0049875313 0.0067830426 0.0127680795 0.009177057 0.0098753115 0.015561097 0.009775561 0.008079801 0.008179551 0.008179551 0.010274314 0.013466334 0.0074812965 0.008678304 0.007880299 0.005286783 0.005286783 0.0059850374 0.013566085 0.0050872816 0.012069825 0.014962593 0.009177057 0.0037905236 0.006683292 0.007680798 0.010174563 0.008179551 0.0069825435 0.005586035 0.008678304 0.005785536 0.00967581 0.013566085 0.0063840398 0.006284289 0.0067830426 0.0050872816 0.0033915213 0.01117207 0.0053865337 0.013765586 0.024339153 0.011970075 0.007880299 0.012169576 0.0072817956 0.013566085 0.0046882792 0.01436409 0.0074812965 0.007082294 0.015660848 0.013366584 0.00478803 0.008079801 0.012169576 0.016558604 0.01426434 0.012169576 0.014763093 0.02374065 0.008877805 0.005785536 0.008079801 0.013366584 0.011970075 0.0050872816 0.01446384 0.011870325 0.010673317 0.016558604 0.014064838 0.0040897755 0.013965087 0.014962593 0.016857855 0.010274314 0.012668329 0.011072319 0.005286783 0.014563591 0.007680798 0.0074812965 0.009077307 0.005785536 0.013865337 0.008877805 6.4507647 0.0 1.0 0.0 3.0 495616.0 499712.0 1.0 0.0 8.0 1.0 1.0 0.0 0.0 0.0 1542193500.0 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 12.0 26.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 430080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -12288.0 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 -2.9933658 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.4837184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0654993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.255463 0.0 4.495435 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -772.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 429474.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39643.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9392.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 443220.0 5120.0 487424.0 0.0 0.0 0.0 0.0 344.0 495616.0 56.0 16448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.10680256 0.0053808726 0.0044030063 0.0036024596 0.0049988525 0.0034616468 0.0031982749 0.003393848 0.0062153186 0.0032243512 0.0032921499 0.0034329628 0.004924535 0.0032504275 0.0030561583 0.0058971858 0.0047563417 0.0030457277 0.002946637 0.0028775346 0.0038710467 0.0035320532 0.0031265647 0.0028214704 0.0033977595 0.00288275 0.0029857517 0.0029349027 0.0030626773 0.0028397238 0.0028579773 0.0028566734 0.004103127 0.0028240778 0.002751064 0.0028032167 0.0037041577 0.0027745327 0.0027445448 0.0028879652 0.003014436 0.0027249875 0.0025985169 0.0032791118 0.002831901 0.003928415 0.0029505487 0.0026754423 0.0036859042 0.0032126168 0.0031839327 0.004649428 0.0032673774 0.003130476 0.0029818404 0.0031200454 0.0033964557 0.0032439085 0.0031265647 0.0041657104 0.0034277474 0.0037510952 0.003219136 0.0046403017 0.004225686 0.0035294455 0.0036859042 0.0030848423 0.0031982749 0.008201038 0.0032725926 0.002940118 0.0033886328 0.002911434 0.0051305387 0.0051566153 0.0031213493 0.0061618616 0.0029883594 0.0028527621 0.004696366 0.003627232 0.0029974862 0.003358645 0.0032960614 0.0057237777 0.0038123748 0.0035724717 0.0030222589 0.004088785 0.0028279894 0.0029648908 0.0028292933 0.00399491 0.0033377837 0.0033104036 0.0030000939 0.0037954252 0.0029296875 0.0033599488 0.0035998519 0.004440817 0.004157888 0.0028514583 0.003722411 0.003533357 0.004090089 0.002984448 0.0037119805 0.0029805365 0.0035711678 0.0037406646 0.0032921499 0.002670227 0.0038436665 0.003974049 0.0061762035 0.0061748996 0.0031761099 0.0029805365 0.0030978804 0.0029674983 0.0028788385 0.002691088 0.0029674983 0.003350822 0.0029088263 0.003100488 0.0035033692 0.0031278685 0.0028214704 0.0071123475 0.0033260493 0.00531177 0.0029023073 0.0027210761 0.003342999 0.0072583756 0.003123957 0.015128244 0.00288275 0.005479963 0.0026715307 0.0027667098 0.0036376626 0.0029388142 0.0028188627 0.0028110398 0.0028866613 0.0030926652 0.0027341142 0.002765406 0.0028514583 0.0027953938 0.0027614946 0.0027497602 0.0027732288 0.0028149511 0.0027680136 0.002801913 0.002946637 0.0030913614 0.002713253 0.0030157398 0.0027914825 0.0026871767 0.002619378 0.0027015186 0.0030861462 0.0028540657 0.0025333257 0.0026519734 0.0028475467 0.0026858728 0.0026089475 0.0026180742 0.003071804 0.0028279894 0.0028201665 0.0027145569 0.0028944842 0.0028684079 0.0033990634 0.002992271 0.0032060978 0.002787571 0.0029140417 0.0026141626 0.0029557638 0.0030965768 0.0029049148 0.0031043997 0.0051826914 0.0036533086 0.0033599488 0.0044069174 0.003738057 0.0029544602 0.0033169226 0.0040640123 0.0034107978 0.0034134053 0.0028240778 0.002648062 0.0061618616 0.0029153454 0.0029270798 0.0028214704 0.0032804157 0.002911434 0.0029309914 0.0028240778 0.0030822346 0.0027249875 0.002728899 0.0028058244 0.0034394818 0.0029674983 0.0027145569 0.0030339933 0.0032243512 0.003049639 0.0027080378 0.0027680136 0.0037067654 0.0029544602 0.0029453333 0.002781052 0.003358645 0.003269985 0.0028996996 0.00279409 0.0074409107 0.0034981538 0.00279409 0.004285662 0.004981903 0.0026715307 0.0028462429 0.0028514583 0.004577718 0.0029023073 0.0029740175 0.0029505487 0.0039036423 0.0027458486 0.0033247455 0.0034147091 0.0045633763 0.0029518525 0.0027549753 0.002758887 0.0048906356 0.0032582507 0.0042335093 0.017455567 0.04278075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001128008 1.3055648e-05 1.3708431e-05 1.631956e-05 1.2402866e-05 1.10973015e-05 1.4361213e-05 1.8277908e-05 1.5666777e-05 1.1750083e-05 1.0444519e-05 1.4361213e-05 1.4361213e-05 1.3055648e-05 1.7625125e-05 1.2402866e-05 0.0010653409 3.525025e-05 5.0917028e-05 0.0 4.634755e-05 1.631956e-05 3.5903035e-05 2.2194603e-05 2.6111297e-06 2.0236255e-05 1.0444519e-05 5.2222595e-06 1.3055649e-06 3.9166944e-06 1.3055649e-06 1.9583473e-05 0.0017840543 3.9166945e-05 0.00012076475 1.0444519e-05 8.290337e-05 1.2402866e-05 0.00029571043 0.00018016795 5.6139288e-05 4.5041987e-05 7.1806066e-06 6.527824e-06 7.833389e-06 1.3055648e-05 5.8750416e-06 6.527824e-06 0.010486949 0.00013251483 0.0006730187 8.747284e-05 0.0012102586 0.0003231273 0.0018010268 0.0010568547 4.7000332e-05 0.0001821263 5.2875377e-05 4.308364e-05 4.5041987e-05 9.334789e-05 0.0001077091 0.0010372712 0.0039036388 0.00012468144 0.0002859187 8.029224e-05 0.00054703164 0.00014426491 0.0007578804 0.00047392002 4.569477e-05 5.6139288e-05 3.198634e-05 2.8069644e-05 5.8097634e-05 2.2194603e-05 3.3291904e-05 9.138954e-05 0.011511166 0.00046282273 0.0010327018 0.0003942806 0.0017768737 0.00054442056 0.003158814 0.0016626369 0.00021933489 0.0002709047 0.00016841787 0.0004119057 0.00033814128 0.00020693203 0.00019975142 0.00036816928 0.0062451693 0.00031268277 0.00044062812 0.00040211398 0.0012605229 0.00033618294 0.0016639424 0.0010777438 0.0001893069 0.00015405664 0.000109667446 0.00022390437 0.00025458515 0.000108361884 0.00033487738 0.00025523792 0.0034395105 0.0005496428 0.00043997535 0.0055212337 0.0008022696 0.0005861986 0.0013401624 0.0008172836 0.0005202676 0.0004125585 0.00040211398 0.00048762848 0.00065147685 0.00036621094 0.00036490537 0.00067824096 0.0066564223 0.0007722416 0.00053267047 0.00097460416 0.0031673003 0.0017390123 0.00087407563 0.000825117 0.0055493033 0.00039493336 0.0003635998 0.00049546186 0.0021332928 0.0006834632 0.0020020837 0.003585081 0.020345269 0.0029936603 0.0017847072 0.0032273564 0.0075233174 0.0061126547 0.002780853 0.0042620166 0.014096184 0.0014661493 0.0011697861 0.0018956801 0.0072373985 0.0021672377 0.0060434598 0.011814056 0.016419437 0.0035178445 0.002220113 0.0035628865 0.0059096394 0.0065447967 0.0027567002 0.004890646 0.011070537 0.0015621083 0.0015666778 0.0016293449 0.0057882215 0.0024401008 0.005478803 0.010203642 0.04218672 0.04188252 0.041036513 0.041799616 0.041569185 0.041150752 0.041031294 0.041010402 0.041746743 0.0414556 0.040607635 0.041977175 0.041311335 0.04112725 0.041550253 0.041658614 3135.0 8.057097 25259.0 0.026802327 0.005542579 0.0058592977 0.0056217588 0.0098578725 0.005502989 0.006334376 0.008313868 0.007324122 0.0059780674 0.005463399 0.0056613483 0.008353458 0.005780118 0.009184845 0.006571915 0.010649669 0.0112435175 0.01045172 0.010887208 0.012549982 0.009343204 0.0105309 0.009105666 0.0144898845 0.011005978 0.011085158 0.011718595 0.012708342 0.012035314 0.012827111 0.011876955 0.012312443 0.010016232 0.0059780674 0.009541154 0.008313868 0.008432638 0.008432638 0.0069678132 0.0081950985 0.00799715 0.0056613483 0.0064531453 0.008709767 0.006809454 0.0058197076 0.0061364267 0.012589572 0.0064927354 0.0077200206 0.0106892595 0.010649669 0.006532325 0.009937052 0.009937052 0.00783879 0.0056613483 0.0064927354 0.0059780674 0.00783879 0.0064531453 0.006017657 0.009541154 0.008432638 0.022170316 0.009897462 0.018805178 0.016865276 0.035828814 0.009343204 0.0084722275 0.009699513 0.020032464 0.0074428916 0.006532325 0.019438615 0.01045172 0.019715745 0.026564788 0.012668752 0.0061760163 0.025575042 0.0210618 0.030840492 0.012312443 0.009461974 0.0070469934 0.010214181 0.009699513 0.006571915 0.0063739656 0.0072449422 0.0059384773 0.006017657 0.006294786 6.408914 0.0 0.0 0.0 12.0 766976.0 782336.0 1.0 0.0 75.0 1.0 1.0 0.0 0.0 0.0 1540905000.0 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 688128.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 63488.0 0.0 0.0 0.0 0.0 0.0 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 -688128.0 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 -6.568969 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2842164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2820067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.703144 0.0 5.0081143 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 63106.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -687625.0 0.0 792.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 753596.0 792.0 765952.0 0.0 0.0 0.0 0.0 8780.0 770048.0 28.0 744464.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 744496.0 0.0 0.0 304.0 692224.0 0.0 0.0 0.0 0.0


Input: 0.11296977 0.011130073 0.0058885305 0.015262046 0.011702048 0.0034193483 0.002531693 0.0024660565 0.012520941 0.0019034581 0.0017065486 0.0030442828 0.011980222 0.0018221939 0.0015877779 0.020350436 0.01989098 0.0017596829 0.0013221063 0.0023722902 0.005382192 0.0014408772 0.0011033181 0.0010939414 0.0044476534 0.001331483 0.0009782962 0.0019034581 0.0027317281 0.0012783487 0.0012845998 0.0015815267 0.004325757 0.0011627035 0.00096266845 0.0037975395 0.0028223689 0.0013439852 0.0007720101 0.00090953417 0.0014783837 0.00095016626 0.0008657765 0.0027848624 0.0014533793 0.0010595605 0.0010439327 0.0010314306 0.004394519 0.0025691995 0.002034731 0.015337059 0.002200385 0.0017909384 0.0016846699 0.0018597004 0.0063229813 0.0027067238 0.0014408772 0.0031911836 0.001994099 0.0016252844 0.0014846348 0.0015627735 0.0035756258 0.003000525 0.0021878828 0.0022378915 0.002469182 0.019087715 0.0047445805 0.001959718 0.0020847397 0.0018503238 0.0012252145 0.0012845998 0.0014127472 0.007198135 0.0016440377 0.0013596129 0.014840097 0.002684845 0.0012033356 0.00445703 0.0012470932 0.006129198 0.0048539746 0.0047289524 0.001565899 0.008685895 0.0008407721 0.0019628436 0.0012658465 0.0051477756 0.002337909 0.002656715 0.0017815618 0.0015971545 0.0008251444 0.001337734 0.0014846348 0.0021910085 0.007829495 0.0010845648 0.002931763 0.0019222114 0.0036100068 0.00077513565 0.0017346785 0.0011627035 0.0012314655 0.003566249 0.002787988 0.001131448 0.002131623 0.0023347836 0.005435326 0.010939415 0.0012095866 0.0015971545 0.0026660915 0.0019753457 0.0006501138 0.00095954293 0.0011158203 0.0042945016 0.0011470758 0.0017909384 0.0027223513 0.002131623 0.0013689896 0.013374216 0.002628585 0.017240517 0.0011783312 0.0010501838 0.005138399 0.013908684 0.0018940815 0.04431713 0.0012127123 0.016846698 0.00076575903 0.0011564523 0.004206986 0.00082201883 0.0006876203 0.00080951664 0.0010220539 0.0012720976 0.00071575027 0.0013033531 0.0011033181 0.0008407721 0.00059697946 0.0010908159 0.0010314306 0.0010439327 0.0006376116 0.0011470758 0.0019378391 0.0011908334 0.0006751181 0.0013096042 0.0013908684 0.0061854576 0.0005282174 0.00073450356 0.0011533268 0.00075638236 0.00060323055 0.0011001925 0.001400245 0.00076263346 0.0005344685 0.0008532743 0.0020191034 0.0010126772 0.0007063736 0.0014815093 0.0014690071 0.0019347136 0.004894607 0.0018440727 0.0016065311 0.0012439677 0.0006532393 0.0014940115 0.0014908859 0.0011345736 0.00094391516 0.0013908684 0.008804666 0.015646487 0.0045914287 0.007251269 0.008320206 0.0032536944 0.0031380493 0.004594554 0.007044983 0.002587953 0.0027692346 0.0019628436 0.0015971545 0.0010283049 0.0015315181 0.0023910434 0.004360138 0.003097417 0.0011470758 0.0015721502 0.0015690246 0.0008313955 0.0012908509 0.001834696 0.0036350111 0.0018659516 0.0011908334 0.002119121 0.004835221 0.0011408246 0.0026942214 0.0016940464 0.004766459 0.0018315705 0.0022785238 0.0018221939 0.0017346785 0.0018065661 0.0008376466 0.0017159253 0.01905646 0.003016153 0.0012158378 0.0035506214 0.0055853524 0.0008470232 0.0010876904 0.0034881104 0.007985773 0.0016315355 0.0015846523 0.0036443877 0.0028348712 0.00075638236 0.0044132723 0.0042194882 0.0047101993 0.0021722552 0.0015533968 0.0013346085 0.0061385743 0.0028817544 0.003925687 0.04416398 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027459932 2.3550543e-05 2.5120578e-05 1.0990253e-05 3.6110832e-05 2.3550543e-05 0.00019625452 0.00010519243 1.5700361e-06 6.2801446e-06 0.0 4.7101084e-06 3.1400723e-06 1.4130325e-05 3.1400723e-06 1.5700361e-05 0.002694182 1.7270399e-05 1.8840434e-05 6.437148e-05 7.37917e-05 2.5120578e-05 0.0002260852 7.065163e-05 3.1400723e-06 1.5700361e-06 0.0 7.850181e-06 1.5700361e-06 0.0 3.1400723e-06 7.850181e-06 0.0024052954 0.00019468449 0.00020096463 0.0 0.00020096463 0.0 0.0 0.0 0.00020724477 6.2801446e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0068092467 0.00045531048 0.00037209858 0.00010519243 0.00043647006 0.0001601437 0.0001522935 0.00011932275 0.00033127764 0.00010676246 0.00011618268 8.007185e-05 0.00011932275 7.8501806e-05 8.7922024e-05 0.00011618268 0.002307953 0.00062801444 9.420217e-05 0.0010896052 0.0014569935 8.164188e-05 6.594152e-05 7.693177e-05 8.4781954e-05 7.5361735e-05 6.594152e-05 7.5361735e-05 8.4781954e-05 9.420217e-05 6.751156e-05 8.164188e-05 0.03387039 0.002253002 0.0027978045 0.0034258189 0.0038136179 0.0024869372 0.0031824633 0.002125829 0.0021132687 0.0021933406 0.0021635098 0.002041047 0.0012952798 0.0009624322 0.0012057878 0.0015935868 0.010117313 0.00042861988 0.00043175995 0.00034540796 0.00034540796 0.00033598774 0.00033284767 0.00081484875 0.0007457672 0.00031871736 0.00028888666 0.0004129195 0.0011963675 0.0015009546 0.001213638 0.00046316066 0.00784233 0.0010158134 0.0010079632 0.009181571 0.0019342846 0.0014475733 0.00216979 0.0013706416 0.001040934 0.0006138841 0.0007551874 0.0010142433 0.0006688354 0.00059661374 0.0007536174 0.0007410571 0.01736931 0.0060603395 0.0009797026 0.0047980305 0.0025874197 0.004509144 0.0030600005 0.0016359776 0.012381305 0.002048897 0.00086194987 0.0027695438 0.008322761 0.004251658 0.0042767785 0.010903901 0.09399964 0.024194257 0.010604024 0.020922301 0.030879471 0.039288584 0.013987453 0.02257869 0.083048634 0.0066585233 0.0091172 0.010936872 0.046686597 0.018038146 0.03205229 0.061123077 0.033108924 0.010357529 0.0060886005 0.0083164815 0.011797252 0.012795795 0.007032192 0.009377826 0.023762498 0.0030285998 0.0043615606 0.0046912683 0.014896504 0.0061404114 0.011812952 0.015711352 0.006379057 0.004220257 0.0040004523 0.0038732793 0.003818328 0.0035671222 0.004480883 0.0039156703 0.0035498517 0.0032342745 0.0033143463 0.0032217142 0.0034870503 0.0032468347 0.003303356 0.0034807702 767.0 13.973925 10718.0 0.019966412 0.0026124276 0.0026124276 0.0032655345 0.008676992 0.0028923308 0.0027990297 0.0022392238 0.0037320396 0.0020526217 0.0028923308 0.0041052434 0.0039186417 0.00849039 0.012688935 0.0066243703 0.048609816 0.023231946 0.0189401 0.01800709 0.01791379 0.015954468 0.017540585 0.01800709 0.020059712 0.0189401 0.012315731 0.010169808 0.010636313 0.010916215 0.011569323 0.01044971 0.0047583506 0.015674567 0.01044971 0.016794179 0.01511476 0.013808547 0.067363314 0.0042918455 0.0055047586 0.006437768 0.0021459227 0.0030789326 0.0047583506 0.0044784476 0.0047583506 0.0045717484 0.010729614 0.0047583506 0.0076506813 0.015487964 0.008397089 0.0042918455 0.00755738 0.0061578653 0.0047583506 0.0028923308 0.0051315543 0.0034521366 0.0046650493 0.0033588356 0.0035454375 0.012782236 0.0041052434 0.017633887 0.0055980594 0.017447285 0.014088449 0.032748647 0.011755925 0.008397089 0.007277477 0.024351558 0.0050382535 0.0017727187 0.016794179 0.010729614 0.015581265 0.015581265 0.01128942 0.0019593209 0.024351558 0.01511476 0.031908937 0.00755738 0.0027990297 0.007277477 0.0055980594 0.0055980594 0.0027057286 0.0010263108 0.0024258257 0.0014928158 0.0037320396 0.0038253407 6.1022787 1.0 16.0 0.0 3.0 319944.0 348160.0 1.0 1.0 80.0 1.0 1.0 1.0 0.0 0.0 1488281600.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 1.0 6.0 1.0 234496.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -235008.0 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 -6.6891375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.5152974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2537612 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.072669 0.0 3.2149813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 67852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -234335.0 0.0 872.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 307168.0 200.0 307248.0 872.0 335872.0 0.0 0.0 7624.0 312320.0 6056.0 339968.0 84.0 306080.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 306168.0 0.0 0.0 356.0 241664.0 0.0 0.0 0.0 0.0


Input: 0.14236102 0.008625756 0.0041836533 0.0034219725 0.0062375823 0.003946327 0.0020278355 0.0019594955 0.007878986 0.0015096937 0.0017010459 0.0015047236 0.004571328 0.0013717711 0.0012301208 0.0038879274 0.006160544 0.0015047236 0.0011866317 0.00089587586 0.002470182 0.0019818614 0.0007678936 0.00082629325 0.0023074085 0.00075546815 0.00083126343 0.000711979 0.0016177952 0.00060512003 0.0005951797 0.0005666011 0.0038904124 0.0005877244 0.00065357937 0.0005442353 0.004165015 0.0013208267 0.00046595486 0.00056287344 0.0011866317 0.00065482187 0.0005852393 0.0009455777 0.0011083513 0.0023484125 0.00067843025 0.00051938434 0.005821329 0.0028006993 0.0033250537 0.0102323685 0.003505223 0.0019930443 0.0028441884 0.0017072586 0.003943842 0.0020837502 0.0007169492 0.0014873279 0.0016724673 0.0009791264 0.0004671974 0.00053056725 0.011815373 0.0039425995 0.0049192407 0.008859355 0.0038829572 0.032678965 0.003280322 0.0027186912 0.003395879 0.0035611377 0.0021968218 0.002363323 0.0027199339 0.004403584 0.0011642659 0.0015370297 0.009092954 0.0021520902 0.0020638693 0.009792508 0.0032169523 0.013889182 0.003234348 0.002103631 0.001933402 0.0065382784 0.00275224 0.0032716244 0.001571821 0.0046545784 0.0023869313 0.0036182948 0.005786538 0.004464469 0.0017519903 0.0032939902 0.009307914 0.0061953356 0.0039860886 0.0016090975 0.007923718 0.0042619337 0.0037562174 0.00141029 0.0035350441 0.0018153602 0.0044247075 0.0040593985 0.003218195 0.0017445349 0.00497764 0.0039289314 0.010214973 0.005621279 0.0018253005 0.0011530829 0.0028814648 0.0012686397 0.00053305237 0.00059269456 0.0016600419 0.0025285818 0.0010673472 0.0008784802 0.005265911 0.0011630233 0.0010934407 0.009101652 0.0031349442 0.0032405606 0.0010387687 0.0006212731 0.0026739596 0.015253498 0.0022427961 0.051948376 0.0012015422 0.011047479 0.00086108455 0.00068340043 0.0026677467 0.00044607412 0.0007306172 0.00064860913 0.001128232 0.0009406075 0.0015183915 0.00057032873 0.0011791764 0.000591452 0.0005019887 0.0007157067 0.0009604883 0.00047838033 0.0004671974 0.0004212232 0.00090084603 0.003343692 0.00046843995 0.0025621303 0.0014301707 0.0008213231 0.0005666011 0.00045477194 0.0010511942 0.00045974212 0.00051192904 0.0004895632 0.0008511442 0.00045228685 0.00074552774 0.0006610346 0.0013307671 0.0006883706 0.0017383222 0.0005392651 0.0008822079 0.0006734601 0.0007157067 0.0015867316 0.0031647654 0.0025459772 0.004671974 0.0008275358 0.00100522 0.00048210795 0.00085735694 0.00071819173 0.012051457 0.0011543254 0.002297468 0.010396385 0.0043774904 0.0010636196 0.0035735632 0.0033834535 0.00187873 0.0017731135 0.0009878243 0.0013084012 0.0016898629 0.0008971184 0.0009965221 0.00094682025 0.0028876776 0.001155568 0.0029883238 0.0013593456 0.0018215729 0.00077162124 0.0016115825 0.00087972276 0.0033834535 0.000657307 0.0010909557 0.0017954793 0.001503481 0.0007219194 0.00056535855 0.000846174 0.0024503013 0.0006610346 0.0008822079 0.0009952795 0.0024440885 0.002442846 0.0005529331 0.00069706846 0.027736118 0.0060536857 0.0010984109 0.0059269457 0.0065631294 0.0010474665 0.00068340043 0.0007579532 0.007276351 0.0009816115 0.0018253005 0.00092321186 0.009179932 0.0021806688 0.0041153133 0.0026056196 0.010114327 0.0030678466 0.0030877276 0.0036294777 0.014957772 0.004014667 0.004321576 0.06925332 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002630117 0.0 0.0 0.00078224647 0.00041416712 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010841837 0.0 0.0 0.004845444 0.0034453722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006265446 0.0 0.0 0.00037306183 0.00027590382 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055367604 3.7368463e-06 1.8061424e-05 6.726323e-05 0.00014947385 7.598254e-05 6.2280774e-06 7.4736927e-06 1.5570193e-05 0.0 0.0 1.8684232e-06 8.0965e-06 3.1140387e-06 4.9824616e-06 0.00035998286 0.006122823 0.00020677217 0.00021424585 0.0005530533 0.0019188706 0.00049014966 0.0024575992 0.0010693609 0.00019556162 0.00010089485 9.279835e-05 7.5359734e-05 0.00067450077 0.00038178114 0.0004023338 0.0029010384 0.013379778 0.0006439832 0.0009497818 0.0020901428 0.0041466537 0.0036241182 0.0069959993 0.00322303 0.00045589524 0.00023666694 0.00031202668 0.00033195651 0.0020913882 0.0011092206 0.0011266591 0.0090275975 0.0208597 0.001308519 0.0012387645 0.0020870287 0.0073478855 0.0025721958 0.0067200954 0.0032703634 0.0024021694 0.0009790538 0.0009809221 0.0013415278 0.004075654 0.0026612573 0.0026855469 0.009622379 0.020312252 0.0015688527 0.001256826 0.0022776078 0.009469168 0.004061952 0.0059116906 0.0034229513 0.005837577 0.0014200016 0.0017868354 0.002315599 0.0038800922 0.0017806073 0.0040631974 0.009716423 0.0743813 0.009865897 0.007316745 0.010131213 0.042271204 0.03075549 0.02141026 0.014021893 0.05173041 0.0053175325 0.006085454 0.009188282 0.016871238 0.0071087275 0.027577925 0.061374586 0.060558707 0.010180415 0.0091639925 0.01172996 0.028260523 0.030759228 0.017759362 0.014683315 0.05006938 0.005914805 0.0065151914 0.009196378 0.021204734 0.010992556 0.025208766 0.04877207 0.00023479851 4.7956193e-05 8.6570275e-05 5.231585e-05 9.092993e-05 9.964924e-05 4.359654e-05 6.6017616e-05 0.00013514927 2.9271963e-05 3.3631615e-05 2.9271963e-05 8.470185e-05 6.041235e-05 7.349131e-05 0.000107745735 5347.0 15.845708 84727.0 0.005523623 0.00012982874 0.00056652544 9.44209e-05 0.0033991525 0.00057832804 0.00012982874 0.0001770392 0.00040128885 0.00041309145 0.0007435646 0.0005901306 0.00050751236 0.014458201 0.0011448534 0.00047210453 0.026449656 0.01784555 0.026756523 0.013077295 0.022838056 0.014788674 0.02307411 0.011944245 0.02551725 0.01513095 0.00083798554 0.00051931496 0.0009678143 0.0005429202 0.00011802613 0.00014163136 0.0013809057 0.008651315 0.007506462 0.014717858 0.007235002 0.016358422 0.004791861 0.0031158898 0.0049925055 0.01784555 0.0024903514 0.0040482963 0.006916331 0.006762897 0.0044967956 0.00934767 0.013089098 0.0026555879 0.006066543 0.020760797 0.013254334 0.0063498057 0.005983925 0.003540784 0.0028208245 0.005429202 0.0015461423 0.0030332715 0.0011802613 0.0028326272 0.0029506532 0.022507584 0.00025965748 0.031276926 0.012912058 0.027205024 0.026225407 0.05365468 0.011637377 0.010634154 0.019096628 0.034982946 0.007766119 0.006928134 0.024183555 0.012463559 0.03781557 0.034357406 0.019096628 0.0029624559 0.039408926 0.029211467 0.041309144 0.0114013245 0.010858404 0.0061137537 0.014127728 0.0067747 0.0010622352 0.0002950653 0.0005547228 0.00025965748 0.00030686794 0.00031867056 5.7749076 0.0 2.0 14.0 4.0 804799.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5800953 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.26010856 0.0072762375 0.0046810084 0.004029026 0.0040572505 0.0028379583 0.002660145 0.0037877078 0.0036197728 0.0025641823 0.002504911 0.0022692378 0.0022946396 0.00234121 0.0021097702 0.0031357252 0.0035463895 0.0018712744 0.002115415 0.002135172 0.002382135 0.0025613597 0.002043443 0.002122471 0.002719416 0.0021577515 0.0019263119 0.0019503025 0.0021168261 0.0019926392 0.0019630035 0.0025289017 0.0037693619 0.0021789197 0.0019432465 0.0022142003 0.003426436 0.0023369761 0.0020575551 0.0022508919 0.002602285 0.0019954615 0.0020293307 0.002160574 0.002349677 0.0024357613 0.0020674337 0.002322864 0.0027984444 0.0023708453 0.0019954615 0.0026756683 0.0020787234 0.001855751 0.001998284 0.0022410133 0.0024498736 0.0023341537 0.0019390128 0.0027730423 0.0023948362 0.002173275 0.0024089483 0.0027278834 0.002842192 0.0028972295 0.0022918172 0.0023256864 0.002959323 0.0025331355 0.0025020887 0.0024089483 0.0055305613 0.0025867617 0.0022029106 0.0023962473 0.0030256503 0.0024893878 0.002297462 0.0023059293 0.0025218457 0.0020914243 0.002200088 0.0023524996 0.0023934247 0.002140817 0.0022508919 0.0025077334 0.0023779015 0.0022297236 0.0020970693 0.0024555183 0.0023539108 0.0022170227 0.001953125 0.0029141642 0.0027236498 0.002907108 0.002075901 0.0024498736 0.002744818 0.003309305 0.0028153788 0.0027659864 0.0030341176 0.0026911919 0.0022212563 0.0023539108 0.0028055003 0.0025401914 0.0032458003 0.0028845286 0.0037467824 0.0020335645 0.002822435 0.0030581083 0.0038498014 0.002842192 0.0027123601 0.0030341176 0.0029480334 0.0025345467 0.00232992 0.0024837428 0.002804089 0.0023779015 0.0024696307 0.003017183 0.0053231125 0.0023383873 0.0024710419 0.0029960147 0.0022819387 0.0026460327 0.0019968727 0.0024837428 0.0039217733 0.0030214167 0.0018924427 0.0049434947 0.0024625745 0.0030298838 0.0022410133 0.0036649317 0.004424167 0.0020928355 0.0020490878 0.0020646113 0.0021831535 0.0021746862 0.0021365832 0.002373668 0.0022607704 0.0023313314 0.0021323496 0.0024047147 0.0028831174 0.0022099665 0.0023073405 0.0024837428 0.0022551254 0.0022170227 0.0021436394 0.002153518 0.0022621816 0.0021619853 0.0021379944 0.0022142003 0.00238778 0.0021422282 0.0020660225 0.0021789197 0.0023059293 0.002555715 0.0024484624 0.002308752 0.0022466583 0.002401892 0.0021633964 0.0024103594 0.0022748825 0.0022269012 0.002187387 0.0025726494 0.0026954254 0.0023567332 0.0025063222 0.0023327426 0.0022861722 0.0023200416 0.0024597521 0.0027010702 0.0039330632 0.0024512848 0.0023369761 0.0025797056 0.00255007 0.0021577515 0.0026940142 0.0028506594 0.0025543037 0.0023849576 0.00232992 0.0023849576 0.002212789 0.0023341537 0.0028210238 0.0026389768 0.0024498736 0.002212789 0.002406126 0.0023440323 0.0023256864 0.0022734713 0.0035915484 0.0025444252 0.0023581444 0.0023327426 0.0020815458 0.002802678 0.0025966403 0.002180331 0.0024512848 0.0025684158 0.003927418 0.0022113777 0.0021506955 0.0022452471 0.0022424245 0.0022946396 0.0022593592 0.0029099304 0.0030976224 0.0023510882 0.0024498736 0.0027786873 0.002842192 0.0025867617 0.0025613597 0.0027857432 0.0030990336 0.0027292946 0.0024611633 0.0029819026 0.002575472 0.0037397263 0.0052313833 0.0077772196 0.008069342 0.005087439 0.0047162888 0.005404963 0.0060385996 0.0049237376 0.008616894 0.052758366 0.021653967 2.1198896e-06 6.359669e-06 7.772929e-06 1.4132597e-06 4.9464093e-06 5.653039e-06 1.4132597e-06 0.0 4.239779e-06 1.4132597e-06 0.0 2.8265194e-06 5.653039e-06 0.0 9.8928185e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004009418 0.00012931327 1.2719338e-05 1.0599449e-05 1.3425968e-05 9.8928185e-06 2.1905527e-05 2.9678455e-05 2.5438676e-05 9.186188e-06 1.5545858e-05 1.1306078e-05 9.8928185e-06 1.0599449e-05 1.0599449e-05 1.2012708e-05 0.0013100918 3.3211603e-05 3.3211603e-05 5.653039e-06 3.5331493e-06 3.5331493e-06 6.359669e-06 4.9464093e-06 4.239779e-06 4.9464093e-06 7.0662986e-06 4.239779e-06 9.186188e-06 4.239779e-06 7.0662986e-06 5.653039e-06 0.011007881 0.00019290995 0.00017312432 0.0001349663 0.00014697901 0.00014344587 0.00024661384 8.1262435e-05 0.00015687183 4.451768e-05 5.935691e-05 3.8864644e-05 4.522431e-05 4.2397794e-05 0.0003497818 0.00016040499 0.019719213 0.00048545474 0.00043104423 0.0003285829 0.00033706246 0.00030173096 0.000601342 0.00042609783 0.00019573647 0.0001370862 0.0001582851 0.00012931327 0.00017383095 0.00014627239 0.00054057187 0.0004904011 0.020094434 0.0003144503 0.000807678 0.00044376357 0.000595689 0.00033282267 0.00084300945 0.0005511713 0.00019573647 0.00020774918 0.00037451385 0.00014697901 0.00014909891 0.00035331494 0.00046849562 0.0030646538 0.02115438 0.0005370387 0.0005744901 0.0003851133 0.0009249785 0.00067977794 0.0025608267 0.0017439625 0.00059780886 0.00020492266 0.00015192543 0.00012578012 0.00029537128 0.0003405956 0.00029113152 0.0027169918 0.020717682 0.0007497343 0.0006331404 0.00048969453 0.000756094 0.00043669727 0.0011638195 0.0011595796 0.0010189603 0.00060487515 0.000500294 0.0005525846 0.0008161575 0.0007702266 0.0006903774 0.008013889 0.02819312 0.000723589 0.00072217576 0.0010217868 0.0014464713 0.0012578012 0.0025650666 0.0024675515 0.0022456697 0.0010867968 0.0010896233 0.0010677178 0.0012938393 0.0010154272 0.0012973725 0.0089459345 0.023985844 0.0012048039 0.0009694962 0.0010154272 0.0011878448 0.001120715 0.002598278 0.0023933554 0.0023396516 0.0010083609 0.0011228349 0.0013736885 0.00172771 0.001817452 0.0018753958 0.0121462615 0.045364227 0.0024428195 0.0028590246 0.0027212317 0.0025919185 0.0025304416 0.0033465992 0.00332964 0.004195968 0.0033352931 0.003614412 0.0035812003 0.0042312997 0.0037522046 0.0037034473 0.025621694 0.03784286 0.0029091951 0.0030618273 0.0033013748 0.0030992788 0.0029035422 0.0038426532 0.003961367 0.00512024 0.0040256702 0.0036617562 0.0041514505 0.004068068 0.003545162 0.0039437013 0.02344174 0.021903407 0.0021629941 0.0030151897 0.0027290047 0.0047549126 0.0026201836 0.0024682581 0.003119771 0.005015659 0.0030590007 0.0022421365 0.002640676 0.0036575163 0.0027254715 0.003003177 0.011583077 0.0070740716 0.0012938393 0.0022152846 0.0016789526 0.0047089816 0.0013793416 0.0010493454 0.0014408183 0.0038009621 0.002044987 0.000691084 0.0010083609 0.0020244946 0.0011850183 0.0014987619 0.003085146 0.025560923 0.02299303 0.022622049 0.022970418 0.023052387 0.023362597 0.022248242 0.024386505 0.022865836 0.02278528 0.022294879 0.023356944 0.022756308 0.023861477 0.024061454 0.02708795 2590.0 7.6760616 19881.0 0.013782003 0.0074442937 0.0045772344 0.0063377093 0.010663448 0.011518535 0.00980836 0.008198783 0.007997585 0.00628741 0.0061365124 0.007846688 0.008198783 0.009405966 0.009607162 0.009255067 0.010311352 0.015089784 0.007846688 0.0098586595 0.009255067 0.00558322 0.0062371106 0.011669433 0.0074442937 0.00834968 0.0070418995 0.008902973 0.007192797 0.006689804 0.0072430964 0.007947287 0.007544892 0.016347267 0.007846688 0.008249082 0.010663448 0.009707761 0.010663448 0.009758061 0.013178412 0.0082993815 0.006941301 0.010764046 0.012524521 0.011267039 0.011468236 0.010160455 0.010864644 0.0068910015 0.010261053 0.010713747 0.011518535 0.008701775 0.013631105 0.0142346965 0.010965243 0.013279011 0.007343695 0.009908958 0.0072430964 0.009758061 0.010361652 0.013782003 0.011065842 0.01604547 0.010965243 0.0126754185 0.019314924 0.022232283 0.011669433 0.013480207 0.011619134 0.016950857 0.0073939944 0.0072430964 0.015894573 0.008047885 0.023238268 0.01262512 0.022282582 0.0043760375 0.013782003 0.012524521 0.019868216 0.009959257 0.010663448 0.017805945 0.00905387 0.0071424977 0.0063377093 0.008450279 0.008902973 0.008852674 0.0060359137 0.0049293297 6.495981 0.0 0.0 0.0 11.0 708608.0 704512.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1290249000.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 6.0 1.0 9.0 0.0 6.0 1.0 5.0 2.0 29696.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32256.0 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 0.0 0.0 -2828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29696.0 0.0 619008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.058737017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.9500725 0.0 0.0 0.0 0.0 0.14343254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.574519 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7882943 0.0 6.7669067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 31752.0 0.0 0.0 0.0 0.0 1380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29513.0 0.0 618528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 62808.0 618528.0 77824.0 1380.0 73728.0 6928.0 688128.0 0.0 0.0 56.0 33512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 228.0 744.0 1376.0 36864.0 96.0 62580.0 0.0 0.0


Input: 0.05672025 0.008303937 0.0061732875 0.0056603146 0.0057577277 0.0049670245 0.0042022294 0.0054209274 0.0050509656 0.005633371 0.0037555806 0.004473742 0.004957698 0.0031669575 0.0043214047 0.004645769 0.0050374935 0.003771125 0.0049359356 0.0041555953 0.004346276 0.0031742116 0.0041058525 0.0038457394 0.0050675464 0.0033483114 0.0031617759 0.0029327518 0.004160777 0.0034374339 0.0037897788 0.0037928876 0.0061670695 0.0038167227 0.0034830314 0.0030270559 0.004898628 0.0041587045 0.0038426304 0.0037213822 0.0047255647 0.003895482 0.0033358757 0.0030964885 0.0043711476 0.003733818 0.0037244912 0.0035804445 0.0055173044 0.0039410796 0.0031016702 0.002908917 0.0036788937 0.0030705808 0.0026809291 0.0028612467 0.004174249 0.0033068592 0.0035275926 0.0033566018 0.0040053306 0.0032167004 0.0035068665 0.0034560876 0.0065981736 0.0039431523 0.003615679 0.0032167004 0.0041524866 0.0032208455 0.003538992 0.003067472 0.0050001866 0.003771125 0.0037027288 0.0035928802 0.0041255425 0.0031223963 0.0035597184 0.0034695596 0.005160814 0.0036250057 0.0036581676 0.0033327667 0.00392968 0.0033773282 0.0033648924 0.003537956 0.004650951 0.0036436592 0.003804287 0.0035089392 0.0041110343 0.003386655 0.0036851116 0.0037897788 0.005913174 0.003626042 0.0033410573 0.0029596959 0.004002222 0.0030488183 0.0032633343 0.0030218745 0.0049742786 0.0031659212 0.003194938 0.0030488183 0.0035752628 0.0028332663 0.0030861255 0.003194938 0.0045141582 0.003286133 0.0032218818 0.003137941 0.0038944457 0.003329658 0.0032882055 0.0036281147 0.004621934 0.0032871692 0.003481995 0.0031711028 0.0040333113 0.0031928653 0.003467487 0.0033462388 0.008653172 0.0046001715 0.004009476 0.0035224112 0.0043711476 0.0034384702 0.0030177291 0.0033918363 0.0045431745 0.0038333037 0.0029534781 0.0031907926 0.0037296729 0.0027907777 0.002845702 0.0029876763 0.005231283 0.003205301 0.0035027214 0.0030270559 0.0036623129 0.0031804296 0.0033027139 0.00325608 0.0045431745 0.0028374116 0.0030415643 0.002700619 0.0035120482 0.0032312085 0.002990785 0.0031514128 0.0050105494 0.0034094537 0.0032643704 0.0028001044 0.003777343 0.003010475 0.0030591814 0.0031804296 0.004144196 0.0030021844 0.00312136 0.0030146202 0.0036457318 0.0028332663 0.0029182436 0.0030249832 0.004665459 0.0031161783 0.003841594 0.002862283 0.0035648998 0.0031576308 0.002993894 0.0031203236 0.0042519723 0.0031462314 0.0033348394 0.0031804296 0.0036519498 0.0031939016 0.0033286216 0.0033514204 0.006724603 0.00405611 0.003723455 0.0033389847 0.0041193245 0.0032540073 0.0033027139 0.0032249908 0.004334877 0.0033306943 0.0031151422 0.0030902708 0.0036436592 0.0029876763 0.003074726 0.002794923 0.004241609 0.0032705883 0.0030944159 0.0029990757 0.0037162008 0.0030322375 0.0029379334 0.0029482965 0.003980459 0.0031089243 0.002731708 0.002633259 0.0035234476 0.0029472602 0.0035783718 0.0028912995 0.004969097 0.0032322449 0.0034021994 0.0029742043 0.0038032506 0.0030767987 0.003195974 0.0029078806 0.0044364347 0.005449944 0.003464378 0.003134832 0.0037939239 0.0030892345 0.003251935 0.00318872 0.0046126074 0.0033244763 0.003420853 0.003037419 0.0037379633 0.0030944159 0.0033141132 0.0032446806 0.0043514576 0.0030332739 0.003185611 0.0028653918 0.004012585 0.0030902708 0.0042198463 0.004518303 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 0.099244595 0.06201535 0.062465236 0.055315364 0.060571782 0.059555784 0.054915816 0.054463338 0.060471635 0.053143784 0.05212208 0.052960612 0.056433067 0.05055086 0.056673836 0.05383651 4014.0 5.703787 22895.0 0.017121643 0.01043896 0.009347019 0.008648177 0.013452719 0.012448133 0.011792968 0.011487224 0.012535488 0.009783796 0.008473466 0.008604499 0.013889495 0.010526316 0.011792968 0.010002184 0.016772222 0.011880323 0.008779209 0.007556235 0.009827473 0.008473466 0.007818301 0.008342433 0.010307928 0.008473466 0.009609085 0.008866564 0.011530902 0.00895392 0.00969644 0.009215986 0.018082552 0.010875737 0.010395283 0.009041276 0.010919414 0.008822887 0.010657349 0.008298756 0.014282594 0.0116182575 0.009783796 0.00895392 0.011487224 0.009347019 0.011705613 0.009565407 0.014806726 0.009609085 0.009958507 0.008997598 0.012098712 0.009347019 0.009565407 0.009783796 0.013714785 0.009215986 0.010569993 0.009565407 0.011137803 0.009871151 0.010395283 0.010701027 0.017951518 0.01100677 0.00969644 0.008211399 0.013103298 0.0082550775 0.009390697 0.008342433 0.015461891 0.009303342 0.0089102425 0.008691854 0.011356192 0.007993012 0.009914828 0.007861978 0.013278008 0.008036689 0.008735532 0.008822887 0.011399869 0.009390697 0.008211399 0.007861978 0.010875737 0.008822887 0.011924 0.008517143 0.011312514 0.008997598 0.009958507 0.008779209 6.554492 0.0 0.0 0.0 14.0 964964.0 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