Input: 0.11458266 0.024868043 0.0040010815 0.0032061113 0.0016262591 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 0.0061236927 0.005685854 0.025888994 0.002265867 0.003155669 0.0022517433 0.003403845 0.0042795227 0.0035006942 0.004547876 0.0031516335 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 0.0026754583 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 0.0019349657 0.0028308206 0.0023808754 0.003964763 0.0069206804 0.0031798813 0.0022033188 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 0.0028388915 0.0022557788 0.0022880617 0.0048908833 0.003978887 0.0020600627 0.0026169454 0.0019047004 0.0024535125 0.0017089844 0.003220235 0.0019430366 0.0015132683 0.0020419033 0.0018219751 0.0015475691 0.0015939759 0.002802573 0.0042351335 0.0035087648 0.0052601206 0.004426814 0.004093895 0.0034482342 0.004344089 0.0028651215 0.0022678848 0.0024333354 0.005526456 0.0025786092 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 0.0028328383 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 0.0027844138 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 0.0073130983 5.2568583e-05 4.9535778e-05 0.00027295225 8.087474e-05 5.0546714e-05 0.00018196816 8.087474e-05 4.448111e-05 2.830616e-05 2.2240554e-05 1.5164014e-05 2.830616e-05 1.415308e-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 -5.443509 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.4955335 0.0 0.0 0.0 0.0 0.0 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 -5.451804 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 -344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 427302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11870.0 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: 0.16234654 0.003578404 0.0030064173 0.003013393 0.003529576 0.0031389508 0.0033970424 0.003327288 0.0031598771 0.002734375 0.003125 0.0034737724 0.0032435826 0.0027692523 0.0032156808 0.0041015623 0.0036202567 0.0027901786 0.0029785156 0.0024553572 0.0026855469 0.0023507255 0.0027692523 0.0023716518 0.0022879464 0.0028878348 0.0034807478 0.0026994979 0.0037737165 0.0021902903 0.0029157365 0.002999442 0.0029436385 0.0036830357 0.003843471 0.0028529577 0.008098493 0.003313337 0.0033830914 0.00304827 0.0026646205 0.002811105 0.0030831473 0.0029296875 0.0039271764 0.0025669644 0.004094587 0.00249721 0.0034040178 0.0039550783 0.0031947545 0.0032226562 0.0032017299 0.0032714843 0.0032435826 0.003264509 0.0044503347 0.0043666293 0.004234096 0.0036063057 0.0035016742 0.003327288 0.003438895 0.0026367188 0.0080775665 0.0033830914 0.002518136 0.0027901786 0.0049874443 0.0050711497 0.0028529577 0.003327288 0.002783203 0.0027692523 0.0027204242 0.002797154 0.0031040737 0.003934152 0.004296875 0.0037109375 0.0030203683 0.0028669084 0.0028738838 0.0038295202 0.0032924106 0.003390067 0.0037388392 0.0029715402 0.0028180804 0.0028180804 0.0037248884 0.0028948102 0.004108538 0.0026646205 0.0027692523 0.0029227121 0.004338728 0.0049734935 0.0036621094 0.004673549 0.0034109934 0.0049874443 0.00413644 0.0033691407 0.003187779 0.003390067 0.0026785715 0.0028529577 0.0035505022 0.002532087 0.0035435269 0.00398298 0.0038364956 0.002608817 0.002999442 0.0028948102 0.0043526785 0.0032924106 0.0030343193 0.0027622767 0.0037876675 0.0036830357 0.0026367188 0.0027204242 0.0037667411 0.0027273996 0.0031598771 0.0036481584 0.00413644 0.0035644532 0.003627232 0.0064732144 0.004889788 0.0030343193 0.0023995535 0.002671596 0.003327288 0.007875279 0.0032087055 0.007017299 0.0041503906 0.0029854912 0.004066685 0.0026227678 0.002546038 0.002783203 0.002783203 0.0037527902 0.003313337 0.0023925782 0.0026157924 0.0030970983 0.0033063616 0.0022460937 0.0025041853 0.0032087055 0.0026994979 0.0022600447 0.0028738838 0.0025251117 0.0024344309 0.0026855469 0.0030064173 0.0032087055 0.0026855469 0.002671596 0.002580915 0.003250558 0.003187779 0.0021833146 0.0026994979 0.0032017299 0.00304827 0.0027762277 0.0033970424 0.0028180804 0.0037667411 0.0025669644 0.002845982 0.0026576451 0.003187779 0.002783203 0.0032087055 0.0030273437 0.0032366072 0.0025530134 0.0036969867 0.0024135045 0.0024414062 0.002748326 0.0035435269 0.0037527902 0.004659598 0.0032435826 0.0036063057 0.003062221 0.0035365513 0.0034179688 0.0029715402 0.003703962 0.0032366072 0.0028390067 0.003996931 0.003327288 0.002783203 0.0025599888 0.0028041294 0.0026227678 0.0026994979 0.0025599888 0.0025739397 0.0031180244 0.0027553013 0.002406529 0.0031738281 0.0022600447 0.0034040178 0.0035853796 0.002671596 0.002518136 0.0034458705 0.002748326 0.0028529577 0.0022251674 0.0034807478 0.003438895 0.0026157924 0.0038225446 0.00327846 0.0027762277 0.003529576 0.0028948102 0.0036202567 0.0038225446 0.0029017858 0.003187779 0.004359654 0.0026785715 0.0028738838 0.002406529 0.0040248325 0.0024344309 0.0026646205 0.0034040178 0.003843471 0.003703962 0.0031389508 0.002532087 0.0033482143 0.0029715402 0.0029296875 0.0030343193 0.004561942 0.0031459264 0.004045759 0.0064453124 0.0718476 7.0256297e-06 1.0538444e-05 3.5128148e-06 3.5128148e-06 0.0 1.0538444e-05 1.4051259e-05 7.0256297e-06 3.5128148e-06 3.5128148e-06 1.0538444e-05 1.4051259e-05 3.5128148e-06 3.5128148e-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 0.0066251685 8.0794736e-05 7.02563e-05 1.7564074e-05 7.376911e-05 2.8102519e-05 0.00013348696 7.02563e-05 2.4589703e-05 1.7564074e-05 1.0538444e-05 1.4051259e-05 1.4051259e-05 0.0 3.5128148e-06 1.0538444e-05 0.012561825 2.1076889e-05 0.00010538444 0.00012646132 0.00021076888 0.000112410075 0.000814973 0.00032317895 3.512815e-05 7.0256297e-06 1.4051259e-05 1.4051259e-05 2.1076889e-05 7.0256297e-06 7.0256297e-06 7.0256297e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010682469 7.02563e-05 0.00024940984 0.0013173055 0.00023535859 0.00020725607 0.0006885117 0.0002810252 8.0794736e-05 7.7281926e-05 5.6205037e-05 9.133318e-05 9.133318e-05 7.376911e-05 8.4307554e-05 0.00010187163 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012969312 0.00012997414 0.0003828968 0.000189692 0.001668587 0.00043207622 0.0027329698 0.0010819469 0.00032669178 0.00020725607 0.00015807667 0.00015456385 0.00029858926 0.00017564074 0.00020023044 0.00047422998 0.012034903 0.00034776866 0.00029507643 0.0019671763 0.001440254 0.0004496403 0.0011873314 0.0005093581 0.0007903833 0.00036533273 0.00027399955 0.00027048672 0.00046017874 0.00030561487 0.00046017874 0.0004250506 0.0063792714 0.00020725607 0.00043558903 0.0005866401 0.0008360499 0.0005936657 0.0030210207 0.0012365108 0.00013699978 8.4307554e-05 0.00010889726 0.00016510229 0.00015807667 0.00014753822 0.00010538444 0.00018617918 0.009519728 0.00053394784 0.0006182554 0.0032634048 0.0008079474 0.0005866401 0.00055151194 0.0007131014 0.0007412039 0.0005550247 0.00061122974 0.00062879384 0.0007376911 0.00053394784 0.00039343524 0.0007868705 0.0036076608 0.00029858926 0.0003126405 0.000284538 0.0031334308 0.0003828968 0.0028699697 0.0005866401 0.00027751236 0.0006674348 0.0004074865 0.00027048672 0.00032317895 0.00051287096 0.00024238422 0.00021076888 0.003393379 0.0002810252 0.0012962286 0.0003547943 0.001384049 0.0005936657 0.0006323067 0.0004566659 0.0023044064 0.00024589704 0.00022482015 0.00024940984 0.0008571268 0.00029507643 0.00068148604 0.001138152 0.00842373 0.0016650741 0.0044647874 0.0015702281 0.00483012 0.003203687 0.0015877923 0.0018512533 0.009105216 0.00080092176 0.00062176824 0.0011205879 0.0030807385 0.0014191772 0.0030210207 0.0035936094 0.048009638 0.0418587 0.047830485 0.04702605 0.04485162 0.04445116 0.045332875 0.04509049 0.052671146 0.04218188 0.043664288 0.045775488 0.046678282 0.04184816 0.046853922 0.049688764 641.0 7.628705 4890.0 0.012678937 0.0065439674 0.0049079754 0.0073619634 0.012883436 0.0073619634 0.016564418 0.0040899795 0.00797546 0.0057259714 0.0034764826 0.0049079754 0.008588957 0.006134969 0.012678937 0.0055214725 0.011042945 0.010633946 0.014110429 0.009815951 0.01002045 0.010224949 0.011247444 0.009611452 0.022903886 0.013701431 0.012269938 0.011042945 0.007157464 0.005316973 0.0049079754 0.00797546 0.010838446 0.009611452 0.0055214725 0.0104294475 0.012474437 0.0104294475 0.009611452 0.014928426 0.00797546 0.0075664623 0.0044989777 0.0063394685 0.009202454 0.006134969 0.021472393 0.008179959 0.0120654395 0.0059304703 0.01002045 0.011656442 0.010838446 0.0063394685 0.0047034766 0.0075664623 0.009202454 0.0059304703 0.0047034766 0.0051124743 0.007770961 0.0065439674 0.0075664623 0.008179959 0.006952965 0.019427402 0.0063394685 0.008588957 0.019222904 0.041104294 0.022903886 0.010224949 0.007157464 0.016768916 0.0075664623 0.006134969 0.019427402 0.010633946 0.016564418 0.02597137 0.014110429 0.0055214725 0.019222904 0.012678937 0.029856851 0.011247444 0.006134969 0.008384458 0.009815951 0.024744377 0.0051124743 0.0044989777 0.008997955 0.0044989777 0.0057259714 0.0057259714 6.380109 0.0 0.0 0.0 7.0 143360.0 151552.0 1.0 0.0 57.0 1.0 1.0 0.0 0.0 0.0 816792200.0 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 0.0 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 13.0 0.0 6.0 0.0 5.0 0.0 20480.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 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 102400.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 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 -6.0283356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9841824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.027517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9210265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.904682 0.0 2.7662208 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 98333.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3226.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17174.0 0.0 912.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4260.0 26128.0 912.0 143360.0 0.0 0.0 0.0 0.0 1556.0 147456.0 56.0 32896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.33998844 0.0078125 0.004123264 0.0032552083 0.007016782 0.0020978008 0.001953125 0.0015914352 0.006004051 0.0013020834 0.0013744213 0.0010850695 0.0041956017 0.0023871528 0.0007957176 0.0014467592 0.022931134 0.0003616898 0.00050636573 0.00050636573 0.002025463 0.002242477 0.0006510417 0.00050636573 0.0017361111 0.0014467592 0.0006510417 0.0005787037 0.0015190972 0.00050636573 0.00043402778 0.0010850695 0.007595486 0.00050636573 0.001953125 0.00014467593 0.0025318286 0.003689236 0.0003616898 0.00021701389 0.0013020834 0.0003616898 0.0003616898 0.0006510417 0.0007957176 0.0005787037 0.0023871528 0.0007233796 0.012876158 0.00745081 0.0049189813 0.007016782 0.0053530093 0.0028211805 0.0031105324 0.0041956017 0.005497685 0.004123264 0.0015190972 0.002025463 0.0027488426 0.0030381945 0.0020978008 0.005063657 0.015625 0.009910301 0.0014467592 0.0033275464 0.010271991 0.009259259 0.001953125 0.0048466437 0.0014467592 0.005714699 0.0006510417 0.0005787037 0.0018807871 0.0035445602 0.0052083335 0.001953125 0.011357061 0.0028211805 0.0031105324 0.00426794 0.0032552083 0.0033275464 0.0046296297 0.0026765047 0.0069444445 0.0047743055 0.0023148148 0.0007233796 0.0026765047 0.0020978008 0.002170139 0.005931713 0.0014467592 0.010850694 0.002025463 0.006438079 0.009259259 0.025318287 0.003833912 0.0016637732 0.0068721063 0.011574074 0.0027488426 0.0006510417 0.013527199 0.005063657 0.012008102 0.011646412 0.0065827547 0.0007957176 0.012586806 0.009331597 0.015046297 0.008318866 0.0010850695 0.00094039354 0.0020978008 0.0026041667 7.233796e-05 7.233796e-05 0.00050636573 0.0007957176 0.0003616898 0.00014467593 0.001808449 0.00043402778 0.0 0.00390625 0.00094039354 0.002242477 0.0 0.00028935185 0.0007233796 0.0049913195 0.00028935185 0.015552662 0.0013020834 0.002170139 0.0 0.00014467593 0.00050636573 7.233796e-05 7.233796e-05 0.00043402778 0.0005787037 0.00021701389 0.00021701389 0.0 0.0005787037 0.0 7.233796e-05 7.233796e-05 0.0003616898 0.0 0.00028935185 0.00014467593 0.00043402778 0.0013744213 0.0003616898 0.0015190972 0.00050636573 0.00014467593 7.233796e-05 0.00021701389 0.0006510417 0.0003616898 0.00050636573 0.00014467593 0.00028935185 0.00021701389 0.00014467593 0.00043402778 0.0003616898 0.00014467593 0.00014467593 7.233796e-05 0.00050636573 0.00014467593 0.00028935185 0.0003616898 0.0010127315 7.233796e-05 0.0014467592 0.0006510417 0.00043402778 0.00014467593 0.00028935185 0.0003616898 0.0034722222 0.0011574074 0.001953125 0.0037615742 0.0010850695 0.00050636573 0.0017361111 0.0029658566 0.0007957176 0.00043402778 0.00028935185 0.00028935185 0.0032552083 0.0003616898 0.00021701389 0.0 0.0012297453 0.00043402778 0.0010850695 0.00021701389 0.0007957176 0.0003616898 0.0014467592 0.00028935185 0.0010850695 0.0005787037 7.233796e-05 0.00021701389 0.0007233796 0.00021701389 0.00050636573 7.233796e-05 0.0013744213 0.00014467593 0.00050636573 7.233796e-05 0.0020978008 0.0003616898 0.0003616898 0.00028935185 0.008463542 0.0013744213 0.00028935185 0.0013020834 0.0028935184 0.00021701389 0.00014467593 0.00043402778 0.0026041667 0.0011574074 0.00028935185 0.00043402778 0.0011574074 7.233796e-05 0.00086805556 0.0011574074 0.002170139 0.00021701389 0.0 0.00050636573 0.0031105324 0.0006510417 0.002170139 0.030164931 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.098958336 0.0052490234 0.0017496744 0.010131836 0.0087890625 0.0056966147 0.017700195 0.006713867 0.0014241537 0.0006510417 0.0006510417 0.00081380206 0.0007324219 0.0008544922 0.0009358724 0.0056152344 0.038655598 0.00061035156 0.0048421226 0.0063069663 0.0037434895 0.0016276041 0.016845703 0.008707683 0.00056966144 4.0690105e-05 8.138021e-05 0.00020345052 4.0690105e-05 0.00012207031 0.00036621094 0.00056966144 0.07381185 0.0064290366 0.0017496744 0.014444987 0.023763021 0.016764322 0.07222494 0.029866537 0.0009358724 0.000773112 0.0013020834 0.000773112 0.0010172526 0.0010986328 0.0007324219 0.004313151 0.080078125 0.008504231 0.0041097007 0.008463542 0.0055745444 0.010172526 0.006958008 0.005126953 0.008504231 0.00061035156 0.0015055338 0.0017903646 0.0052083335 0.002319336 0.0059407554 0.01180013 0.013264974 0.000773112 0.005330404 0.014282227 0.016520182 0.0060221353 0.014404297 0.0078125 0.000773112 0.00056966144 0.00056966144 0.00040690103 0.00061035156 0.00081380206 0.0006510417 0.0005289714 0.041585285 0.01175944 0.004964193 0.009602864 0.009114583 0.015014648 0.0048421226 0.0052083335 0.018188477 0.00056966144 0.0021972656 0.0012613932 0.011067708 0.0018310547 0.009155273 0.020304361 0.018269857 0.007120768 0.0021158855 0.0061442056 0.00394694 0.008666992 0.003458659 0.00390625 0.0078125 0.00012207031 0.0010986328 0.00081380206 0.005452474 0.0015055338 0.004231771 0.008666992 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 133.0 27.954887 3718.0 0.020172136 0.0005379236 0.005648198 0.0002689618 0.0008068854 0.0002689618 0.0002689618 0.0008068854 0.0002689618 0.0005379236 0.0 0.0 0.0008068854 0.0010758472 0.0072619687 0.0021516944 0.011565357 0.01344809 0.008068854 0.006724045 0.0075309305 0.0008068854 0.0026896182 0.0032275417 0.0048413128 0.0021516944 0.0026896182 0.0010758472 0.0053792363 0.006993007 0.0048413128 0.015061861 0.044378698 0.034696072 0.00295858 0.010220549 0.03388919 0.006724045 0.0024206564 0.017213555 0.0010758472 0.019634211 0.0002689618 0.0016137708 0.0043033888 0.0034965035 0.015868746 0.00591716 0.021785906 0.004034427 0.005648198 0.0075309305 0.00295858 0.0032275417 0.005648198 0.00295858 0.023130715 0.0013448091 0.006993007 0.0013448091 0.0032275417 0.0002689618 0.0010758472 0.018020442 0.0008068854 0.03388919 0.0072619687 0.02232383 0.025013449 0.083647124 0.0064550834 0.0045723505 0.0137170525 0.038730502 0.0021516944 0.0021516944 0.04357181 0.01640667 0.04007531 0.039537385 0.018020442 0.0018827326 0.040882196 0.031199569 0.042227004 0.012910167 0.0026896182 0.0021516944 0.00591716 0.008337816 0.0 0.0002689618 0.0002689618 0.0002689618 0.0002689618 0.0005379236 5.552658 1.0 0.0 0.0 2.0 13824.0 32768.0 1.0 25.0 50.0 1.0 1.0 0.0 0.0 0.0 1423635300.0 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 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 9.0 0.0 5.0 0.0 5.0 0.0 4608.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -4608.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.082494 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1786814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3422332 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.076839 0.0 4.616938 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4193.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1132.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4179.0 0.0 1592.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -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 1505.0 14976.0 80.0 13628.0 1592.0 24576.0 0.0 0.0 0.0 0.0 572.0 28672.0 28.0 12528.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 12688.0 0.0 0.0 212.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.1620904 0.011156752 0.0056973444 0.005275481 0.007689882 0.0031340504 0.0031793022 0.003063983 0.008551125 0.0026450392 0.0026319015 0.0020334104 0.0049616382 0.0019458263 0.0014071842 0.004295999 0.006859293 0.0011794657 0.0012670497 0.0009663444 0.0024713308 0.001738544 0.0013181404 0.000951747 0.0024421362 0.0009969987 0.0008685421 0.0008641629 0.0016932922 0.00067147793 0.00080139434 0.0007751191 0.010280911 0.0007065116 0.0011736266 0.00060870935 0.0044011 0.0018961953 0.0012072006 0.0007108908 0.0019794002 0.0010057573 0.0009926195 0.0015925706 0.0024231595 0.00092839124 0.0014582749 0.0012728886 0.0029501237 0.0010013779 0.0017108091 0.008775925 0.0013050028 0.0005342629 0.0006860753 0.00052404474 0.0014363789 0.000522585 0.0016684767 0.0023852065 0.0013721506 0.0013254391 0.0007459244 0.00054448104 0.009666363 0.006244745 0.003498984 0.007992048 0.0054973606 0.021265415 0.0044799256 0.0035223397 0.0035851083 0.0075030364 0.001023274 0.0012422343 0.0024056428 0.0036887496 0.0021866825 0.0019939975 0.00875257 0.0015502382 0.0025997874 0.0077803857 0.0035559137 0.0096897185 0.0045412346 0.0037880114 0.001452436 0.0051645413 0.0024217 0.0042113345 0.0014743321 0.0029953755 0.0037164844 0.0024304583 0.0010130559 0.006942498 0.0016188457 0.0041325088 0.008562803 0.01298142 0.003312138 0.00286108 0.0065877824 0.0074534053 0.004309137 0.0010802037 0.0056754486 0.002618764 0.008314649 0.008262098 0.0036770718 0.000621847 0.0076373317 0.0059717745 0.016440991 0.008234363 0.0011809254 0.0017137285 0.0024611126 0.0016582586 0.00085978373 0.0007984749 0.0019794002 0.0018786786 0.0009969987 0.0008539448 0.0068519944 0.0014670334 0.0005474005 0.007608137 0.003542776 0.004917846 0.00073862576 0.0006262262 0.0019399874 0.010924654 0.0023457936 0.05485829 0.00082620984 0.00946492 0.00040580623 0.0005313434 0.002487388 0.00044375935 0.0005678368 0.00055907835 0.00091963285 0.0012685094 0.0004422996 0.00046565535 0.0006992129 0.00045689696 0.00039266862 0.0008072333 0.0007065116 0.00042770227 0.00045981642 0.0003999673 0.001116697 0.0018421852 0.00042770227 0.0007488439 0.00090649526 0.00046127615 0.00042770227 0.00036785315 0.00085540453 0.00043938015 0.0005313434 0.00043500093 0.00080577354 0.00036493366 0.00042040358 0.0004466788 0.0016991312 0.0006276859 0.0019443666 0.0006962934 0.0009269315 0.00031384296 0.0005532394 0.00086562266 0.0034581115 0.0019049537 0.003691669 0.0009094147 0.001078744 0.00052842393 0.0005853536 0.00057513546 0.010828312 0.0010860426 0.0016086276 0.0118764015 0.0029355264 0.0005415616 0.0048725945 0.0024552736 0.0016246847 0.001732705 0.00071381027 0.0006554209 0.0017633595 0.00039266862 0.0007065116 0.00059995096 0.0018976551 0.00055469916 0.0022421526 0.0013794493 0.0012685094 0.00044375935 0.0022158772 0.0010422505 0.0042887004 0.0008072333 0.0009663444 0.002662556 0.0013794493 0.00051090715 0.000621847 0.0008378877 0.0021268334 0.00047733323 0.000522585 0.00047295404 0.0017181077 0.0011269152 0.00041602438 0.00055469916 0.029307093 0.004758735 0.001116697 0.0054813037 0.0040960154 0.0005809744 0.0006510417 0.00069775316 0.00550174 0.00067293766 0.0015035267 0.0007692802 0.0034084804 0.000451058 0.0021487295 0.0027136467 0.007405234 0.0029749393 0.002964721 0.004514959 0.011305645 0.0030508456 0.0055645085 0.06301237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013456973 8.04056e-06 7.3095994e-06 4.38576e-06 8.77152e-06 5.84768e-06 4.38576e-06 1.023344e-05 5.9207756e-05 5.84768e-06 4.38576e-06 5.11672e-06 4.38576e-06 6.5786394e-06 4.38576e-06 1.2426319e-05 0.0038901689 6.286256e-05 7.3095995e-05 4.2395677e-05 4.5319517e-05 5.4821998e-05 8.552231e-05 4.5319517e-05 3.143128e-05 1.754304e-05 1.5350159e-05 1.754304e-05 1.608112e-05 1.3888239e-05 4.8243357e-05 3.143128e-05 0.0011585716 6.5786394e-06 1.8273999e-05 1.023344e-05 6.9441194e-05 2.9238397e-05 0.00012353223 6.0669678e-05 7.3096e-07 2.92384e-06 2.19288e-06 2.92384e-06 3.6547997e-06 2.92384e-06 1.46192e-06 3.6547997e-06 0.0010452727 3.6547997e-06 0.00012572511 4.678144e-05 2.7045518e-05 4.38576e-06 0.00014911583 7.6750795e-05 4.38576e-06 7.3096e-07 2.92384e-06 2.19288e-06 2.92384e-06 2.19288e-06 1.46192e-06 1.46192e-06 0.019071477 0.0003340487 0.0018507906 0.0002792267 0.0011805004 0.00050655525 0.0072533158 0.0034033495 4.38576e-05 2.1197839e-05 4.6050478e-05 5.7014877e-05 4.3126638e-05 3.2893196e-05 0.00010306535 0.00020466879 0.014722264 0.00028507438 0.0011483381 0.0005007076 0.001988942 0.00093782163 0.006766496 0.0035546583 0.00026533846 0.00013011087 6.9441194e-05 0.00014399912 0.00014546103 5.4091037e-05 9.136999e-05 0.00063301134 0.011293331 0.0006059658 0.0016717054 0.0010299226 0.003649683 0.002298138 0.013641906 0.005993141 0.00022659759 0.000109643996 0.00019735919 0.00012207031 0.00014326815 0.00010087247 0.00014107527 0.0006914881 0.008834382 0.0005058243 0.0017630754 0.00096706004 0.0019333891 0.0010628158 0.0060465005 0.0031182752 0.0009166238 0.00018785671 0.00014984679 0.00014326815 0.0008464516 0.00010306535 0.00020028303 0.0016643958 0.015886683 0.0012002363 0.001314266 0.0005672249 0.0050655524 0.0013413115 0.004788519 0.0028207744 0.001880029 0.0005708797 0.0004970528 0.00060158 0.0008354872 0.0003048103 0.0005584534 0.0021863012 0.013457703 0.001113983 0.001824476 0.00070683827 0.0056744423 0.0024012034 0.0052994597 0.0028127339 0.0038031847 0.0004970528 0.00038887069 0.0008325634 0.0015240515 0.00064836146 0.0014173314 0.0040049297 0.0591946 0.008498141 0.007172179 0.0073293354 0.026760444 0.018355867 0.014186471 0.011952657 0.0374405 0.0039859246 0.0031979498 0.006862252 0.013620708 0.007838083 0.018469896 0.039566133 0.07919951 0.013264731 0.015679821 0.016018257 0.039332956 0.039156064 0.027429271 0.02314731 0.063081846 0.005988755 0.006039922 0.011595949 0.027269922 0.014045396 0.033148304 0.06913492 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5608.0 14.914408 83640.0 0.04542085 0.00016738403 0.0029531324 0.00020325203 0.0011836442 0.0025585843 5.978001e-05 0.00044237208 0.0028933524 0.0026661884 0.0005021521 0.00034672406 0.0019129603 0.0019129603 0.005248685 0.0014945002 0.0010760402 0.00080105214 0.0015542803 0.0018770923 0.0018651363 0.00041846005 0.0010043042 0.00017934003 0.00059780007 0.00022716404 0.007867049 0.0042922045 0.0012792922 0.0012673362 0.0009923482 0.00035868006 0.0010401722 0.011382114 0.007735533 0.01567432 0.011489718 0.014956959 0.009002869 0.006205165 0.004495457 0.012673362 0.00031085606 0.0018053562 0.008799617 0.007209469 0.009887613 0.010353898 0.010389766 0.0021640363 0.009361549 0.021281684 0.01776662 0.006073649 0.0039335247 0.0083572455 0.0016618842 0.006121473 0.0012195122 0.004949785 0.0017575322 0.004567193 0.0047465325 0.0054160687 0.00033476806 0.04430894 0.009325681 0.02464132 0.023194645 0.08910808 0.009002869 0.018340508 0.012780966 0.04832616 0.00087278814 0.004268293 0.033369202 0.015016738 0.055571496 0.05400526 0.016260162 0.00033476806 0.050047822 0.036920134 0.06635581 0.019010043 0.0045791487 0.008309421 0.006599713 0.007484457 0.0021999043 0.00015542803 0.0004901961 0.00015542803 0.00011956002 9.5648014e-05 5.401294 2.0 3.0 7.0 6.0 685056.0 745472.0 0.0 0.0 17.0 1.0 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 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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 589312.0 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 -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 -589312.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 80384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4.4167104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5906777 0.0 0.0 0.0 0.0 0.0 0.0 -4.9541664 4.954274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -34060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 5036.0 0.0 0.0 0.0 0.0 0.0 -3952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -589108.0 0.0 0.0 0.0 0.0 0.0 0.0 -9636.0 80384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9636.0 606208.0 79568.0 663552.0 0.0 0.0 0.0 0.0 0.0 626688.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.17247616 0.018307922 0.013677126 0.022239111 0.0060352613 0.0014845325 0.0012732064 0.0012088899 0.0015120967 0.0029099986 0.0015212848 0.0022484565 0.0014661563 0.0022012035 0.0020660071 0.0019806894 0.0019767515 0.0023784023 0.0016735446 0.0022904591 0.001445155 0.0028693087 0.0025818527 0.0024965347 0.0019898773 0.0019833145 0.0017864269 0.0020371303 0.0019557502 0.002151325 0.0023928406 0.002517536 0.0033772786 0.0021290113 0.0028391192 0.004935316 0.0047896192 0.0025818527 0.0036607967 0.0024952223 0.0017339234 0.0011051957 0.0016748572 0.0036279822 0.0026592952 0.0051164525 0.0033024615 0.0049458165 0.0039548157 0.0028876849 0.0019715012 0.002782678 0.0019150601 0.0040427586 0.0016433551 0.003234207 0.003470472 0.0035951675 0.0027433005 0.0021027597 0.002867996 0.0019163727 0.0027314874 0.0023784023 0.003656859 0.0023639638 0.0024492817 0.0051230155 0.0037684287 0.0024151546 0.00425671 0.003609606 0.0029454385 0.0024099043 0.0028391192 0.0022957094 0.0034783476 0.0038104313 0.0029362505 0.0039088754 0.0035229754 0.0052621495 0.0027406754 0.0041608913 0.004357779 0.0025726648 0.0030451948 0.0031856415 0.0025857906 0.0042068316 0.0027564263 0.004007319 0.0036319199 0.0035124747 0.0041097007 0.003524288 0.0028483074 0.0036017306 0.0031213248 0.0021592006 0.0032263314 0.004101825 0.002483409 0.0014464676 0.0016354796 0.0017116095 0.0019334363 0.0037723663 0.002915249 0.0028181178 0.0035767914 0.0035649783 0.0033168998 0.0027997417 0.0034507834 0.004076886 0.0041136383 0.004710864 0.003252583 0.0029703777 0.0019006217 0.0025477256 0.0033562772 0.0024335308 0.0018612441 0.0032223938 0.0021762643 0.0028850597 0.00335759 0.0017601751 0.0026527322 0.0019767515 0.0014149656 0.0028338688 0.004381405 0.002182827 0.0017614877 0.0034022178 0.0021093225 0.003070134 0.0025700396 0.0056112967 0.0030058173 0.002798429 0.0023521506 0.0032132056 0.0036489835 0.0022576444 0.0032696468 0.0029113113 0.0020555065 0.0036699849 0.0032893354 0.0024243426 0.0026973602 0.0015225974 0.001773301 0.0019360614 0.0012259535 0.0018704322 0.0020712574 0.002467658 0.0021907026 0.0017549248 0.0025345997 0.0026960475 0.0019347488 0.0018087408 0.0018704322 0.0019084972 0.009030578 0.0025739772 0.001937374 0.0030136928 0.005323841 0.0015921644 0.0033549648 0.0035282257 0.0039968183 0.0020817583 0.0024729082 0.001773301 0.0057412423 0.0044562225 0.0053395918 0.0049760058 0.004863124 0.0037592405 0.0052779005 0.0029887538 0.0016853579 0.0026199177 0.0028154927 0.0018349924 0.0019163727 0.0026487946 0.002640919 0.0037986182 0.0033654654 0.002287834 0.003931189 0.0035308509 0.003618794 0.0030556957 0.0020213793 0.0027879283 0.0023101477 0.0014871577 0.0038025558 0.0038944366 0.0050600115 0.006459226 0.0028299312 0.0030176307 0.0034192814 0.0050442605 0.003486223 0.0025516632 0.0025437877 0.0029296875 0.0019544377 0.003391717 0.0021815146 0.0029362505 0.0029821908 0.003310337 0.005392095 0.002537225 0.0021775768 0.0020213793 0.0042291456 0.0030176307 0.0020423806 0.0054852883 0.005361906 0.0028732463 0.0029808783 0.0028378067 0.0022668326 0.0028010542 0.0024532196 0.002751176 0.0027301747 0.0022222048 0.0025306619 0.004519227 0.0034376576 0.0027682397 0.0016525433 0.00245847 0.001905872 0.00257529 0.0015829763 0.03489242 0.0034100933 0.0018192414 0.08610114 0.0 1.971526e-06 1.3143506e-06 2.6287012e-06 3.2858766e-06 1.9058083e-05 7.2289286e-06 0.0 0.0 0.0 0.0 0.0 0.0 6.571753e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012545476 3.2858766e-06 9.857629e-06 5.2574023e-06 9.200454e-06 7.2289286e-06 9.200454e-06 3.943052e-06 0.0011638574 0.00017612298 3.943052e-06 3.943052e-06 1.18291555e-05 1.117198e-05 1.0514805e-05 7.886104e-06 0.0071500675 5.1259674e-05 5.1259674e-05 3.4173117e-05 8.871867e-05 6.8346235e-05 9.5947595e-05 0.0001064624 6.571753e-05 7.754668e-05 4.337357e-05 0.000111062625 4.9945324e-05 1.7743732e-05 2.102961e-05 4.2716394e-05 0.010251935 0.00016889405 8.806149e-05 0.0008944156 0.0010922253 0.00091478805 0.00012617766 0.0008326411 0.0009713051 0.00017875168 0.00014589292 0.00025235533 9.7261945e-05 2.6287013e-05 4.600227e-05 6.3746e-05 0.016736941 9.989065e-05 0.00045147943 0.0018118323 0.0023743743 0.0011901445 0.0005802858 0.00031018673 0.00018532344 0.00045279379 0.00025432685 0.0002983576 0.00019846694 0.00023461158 0.00021423915 0.00017875168 0.018074293 0.0002792995 0.0004284783 0.00020701022 0.0010665955 0.00193801 0.00094830396 0.000824755 0.00015246467 0.0002181822 0.00035224596 0.00041796349 0.00094041787 0.00012026308 0.0006269452 0.00032267306 0.024344401 0.00048039516 0.0029112867 0.0010994542 0.002275798 0.0035296886 0.002369117 0.002785766 0.0005027391 0.0012946354 0.001570649 0.0038043878 0.00263133 0.00440176 0.0043399855 0.011645147 0.011275814 0.0003857619 0.0017053699 0.001581821 0.0010567378 0.00061117305 0.001724428 0.0013347231 0.0002181822 0.00024052616 0.008320496 0.004302527 0.007881504 0.008639883 0.006971973 0.029886361 0.015359501 0.0005934293 0.0018170897 0.0022810556 0.0007583803 0.0011855443 0.0024683503 0.0014569577 0.00085432787 0.0013314371 0.0014175271 0.004880184 0.00043242134 0.0018584918 0.0009851058 0.0013511524 0.011124664 0.0005934293 0.001867035 0.0028067958 0.0017520294 0.0038431613 0.0036538946 0.0030269495 0.0016790829 0.0025419542 0.0011408563 0.0028146817 0.00086944294 0.0009128165 0.0013261797 0.0017697731 0.0070422906 0.00096407614 0.00077546685 0.003849733 0.0030492933 0.0036085495 0.0017737162 0.005267917 0.0038168742 0.0038641908 0.0008194976 0.0025399826 0.001930781 0.0017947458 0.0011290272 0.00084249873 0.0069377995 0.0027016476 0.0009791912 0.0018414052 0.0025058095 0.0022501682 0.0025544404 0.0028094244 0.0020661592 0.0020970465 0.0011152265 0.0021522492 0.00089835864 0.0018900362 0.0008332983 0.00136101 0.0042565246 0.0019012082 0.001964297 0.002628044 0.002852798 0.003590806 0.0018801786 0.002886971 0.0031721853 0.001922895 0.002181165 0.0017724017 0.001623223 0.0016054793 0.0007623233 0.0013386661 0.00919454 0.0018354906 0.0027831374 0.0027410781 0.0050326483 0.0027410781 0.0020983608 0.0021883938 0.0035329745 0.0021279335 0.0015515909 0.0027509357 0.0024131478 0.002466379 0.004926843 0.002759479 0.02265349 0.024496866 0.035192396 0.022510225 0.028402459 0.03177114 0.024640787 0.025278248 0.026566312 0.02364188 0.025851961 0.032882422 0.024128849 0.031595673 0.03018669 0.022232898 5205.0 15.484342 80596.0 0.0023450295 0.0031391135 0.006278227 0.014479627 0.019132463 0.008077324 0.016775027 0.011340513 0.005434513 0.0016005757 0.0028289245 0.010360315 0.004243387 0.0060300757 0.0050498783 0.0053848824 0.011315698 0.0057198866 0.007531391 0.007705097 0.0073328703 0.018251525 0.0040820884 0.016328353 0.021762867 0.012519232 0.00779195 0.0034617102 0.012159413 0.0027668867 0.011601072 0.007878803 0.022941586 0.0037843068 0.008586034 0.012283488 0.0053848824 0.009144374 0.013065165 0.006712492 0.0028537395 0.005434513 0.013822026 0.009169189 0.010732543 0.0072336094 0.007891211 0.018859496 0.017718 0.022259168 0.007816765 0.012593677 0.019380614 0.011092362 0.011774778 0.017110031 0.009032707 0.015360564 0.010881433 0.01655169 0.006650454 0.009318081 0.008139362 0.013114795 0.0044295 0.008685295 0.011340513 0.006662862 0.012072559 0.012606084 0.010757358 0.002245769 0.0032631892 0.0033004119 0.004007643 0.024058266 0.007829173 0.010372723 0.017147252 0.019926548 0.019591544 0.008337882 0.017395405 0.009541417 0.018822273 0.017432626 0.015236489 0.012866643 0.0064643407 0.0063650804 0.014554072 0.009541417 0.0050995084 0.011290883 0.008834185 0.012519232 6.386546 0.0 0.0 0.0 9.0 761856.0 761856.0 0.0 88.0 21.0 1.0 1.0 0.0 0.0 0.0 1543234600.0 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 7.0 10.0 5.0 0.0 5.0 0.0 0.0 4096.0 4096.0 9.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 4096.0 0.0 -8192.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 323584.0 0.0 -4096.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9644094 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8878164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.700333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8421248 0.0 6.63141 0.0 -5.2917385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2509.0 0.0 -4624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 201025.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52382.0 0.0 321203.0 0.0 -2791.0 0.0 0.0 1395.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -3.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2775.0 757776.0 180.0 254964.0 319632.0 413696.0 0.0 0.0 0.0 0.0 4624.0 737280.0 28.0 2096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 116.0 57344.0 0.0 0.0 0.0 0.0


Input: 0.05627181 0.008277353 0.006163548 0.005648463 0.005736881 0.0049555134 0.0041957367 0.005405828 0.005034678 0.005619676 0.003742338 0.004462018 0.0049390635 0.0031748186 0.004321167 0.0046326853 0.0050326223 0.0037752376 0.004917473 0.0041587246 0.00435201 0.0031758468 0.0041052625 0.0038430933 0.005070662 0.0033454855 0.0031665936 0.0029352678 0.004162837 0.0034452127 0.00377935 0.00377935 0.006163548 0.003815334 0.0034863374 0.00302677 0.0048876577 0.00415564 0.00385029 0.0037217757 0.0047128783 0.0038903865 0.003331092 0.0031100474 0.0043643476 0.003715607 0.0037186914 0.0035953175 0.0055014426 0.0039613266 0.0031090192 0.0029033963 0.003697101 0.0030843446 0.0026977733 0.0028499344 0.0041669495 0.0033166984 0.0035326025 0.0033424012 0.004001423 0.0032334211 0.0035254057 0.003456522 0.0065727383 0.0039531016 0.003609711 0.0032282805 0.0041422746 0.003231365 0.003536715 0.0030740632 0.004990469 0.0037896312 0.0037094383 0.0035891489 0.004126853 0.0031285535 0.0035511085 0.0034678313 0.0051580523 0.0036169079 0.0036611168 0.0033249233 0.0039160894 0.0033783852 0.0033948352 0.0035408274 0.0046450226 0.0036467232 0.0037988843 0.0035099841 0.0040949816 0.0033835259 0.003698129 0.0037814064 0.005892126 0.0036230767 0.0033444576 0.0029558302 0.0040065637 0.0030545292 0.0032724894 0.0030298545 0.00496271 0.0031758468 0.0032077183 0.003045276 0.0035778396 0.0028581591 0.0031007943 0.0032036058 0.0045010867 0.0032837987 0.0032303368 0.0031408907 0.0038811334 0.0033413733 0.0032940798 0.0036251328 0.004638854 0.0032961362 0.0034945623 0.0031717343 0.0040374068 0.0032138869 0.0034811967 0.0033537105 0.008606349 0.004594645 0.0040168446 0.0035212934 0.004349954 0.003448297 0.003025742 0.0033886665 0.0045267898 0.0038286997 0.0029743363 0.0031943528 0.0037217757 0.0027964723 0.0028591873 0.002982561 0.005212542 0.0032077183 0.0035120402 0.0030370513 0.0036652293 0.0031850997 0.003321839 0.0032796862 0.0045442674 0.0028591873 0.0030555574 0.0027121669 0.0035130684 0.0032365054 0.0029877017 0.0031665936 0.00499561 0.0034349316 0.0032909955 0.0028088097 0.0037670126 0.0030051796 0.0030555574 0.0031861279 0.004126853 0.0030164889 0.0031295815 0.003034995 0.0036672857 0.0028417094 0.002927043 0.0030483606 0.004672782 0.003125469 0.0038379526 0.002873581 0.0035696146 0.0031480875 0.0030000391 0.003124441 0.004252283 0.0031614532 0.0033516544 0.003196409 0.003651864 0.003188184 0.003321839 0.0033413733 0.006687887 0.004064138 0.00372486 0.0033506262 0.0041247965 0.003268377 0.0033023048 0.0032303368 0.004334532 0.003339317 0.0031285535 0.003089485 0.0036415828 0.0029928423 0.0030915414 0.0028170347 0.004240974 0.0032714615 0.0031110754 0.003007236 0.003716635 0.0030103202 0.0029404084 0.0029578863 0.003965439 0.0031172442 0.0027419822 0.0026566486 0.0035490524 0.0029537738 0.0035922332 0.0028869465 0.0049462602 0.0032344493 0.0034143694 0.0029877017 0.0038184184 0.0030761196 0.0032108026 0.0029219023 0.0044363155 0.0054294746 0.0034585784 0.0031470596 0.0037896312 0.003079204 0.0032519272 0.0031922965 0.004595673 0.0033208109 0.0034318473 0.0030524728 0.0037474786 0.0030966818 0.0033177265 0.003259124 0.0043643476 0.00302677 0.0031933247 0.0028704966 0.004021985 0.0031121036 0.0042193835 0.004482581 0.011594105 0.0 0.0 0.0 0.0 0.0 1.0301292e-06 3.0903877e-06 0.0 1.0301292e-06 2.0602583e-06 0.0 0.0 1.0301292e-06 0.0 1.0301292e-06 0.0020386258 4.1205167e-06 2.0602583e-06 6.1807755e-06 5.1506463e-06 1.0301292e-06 3.0903877e-05 1.1331422e-05 0.0 0.0 1.0301293e-05 0.0 0.0 0.0 0.0 0.0 0.0009441134 2.5753232e-06 6.1807755e-06 1.2876615e-05 9.2711625e-06 5.665711e-06 5.150646e-05 2.2662844e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028436717 3.553946e-05 2.7813488e-05 1.0816357e-05 2.2147779e-05 3.450933e-05 4.2235297e-05 1.8027262e-05 3.553946e-05 5.1506463e-06 9.786228e-06 1.5967003e-05 2.6268295e-05 7.2109046e-06 1.6997132e-05 1.2876615e-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 0.00087406463 1.1846486e-05 1.2361551e-05 8.241033e-06 1.339168e-05 1.5967003e-05 1.339168e-05 1.1331422e-05 1.0816357e-05 1.339168e-05 6.69584e-06 1.339168e-05 1.1846486e-05 1.0301293e-05 1.8027262e-05 9.786228e-06 0.0016142125 6.4898144e-05 5.6657107e-05 4.8416074e-05 4.7385944e-05 3.0388812e-05 2.2662844e-05 0.00055111916 2.9873747e-05 1.6997132e-05 1.9572455e-05 0.00027555958 2.0602585e-05 0.0002724692 1.6482067e-05 7.725969e-05 0.0007380876 3.708465e-05 3.3994264e-05 2.0602585e-05 2.2147779e-05 1.6997132e-05 1.3906744e-05 1.1846486e-05 1.6482067e-05 2.2662844e-05 1.905739e-05 1.7512197e-05 6.69584e-06 4.6355813e-06 2.2662844e-05 5.047633e-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 0.0013098093 3.708465e-05 4.2750362e-05 5.9747494e-05 4.2235297e-05 3.1418942e-05 9.116644e-05 5.8202302e-05 3.914491e-05 5.7172172e-05 4.3780492e-05 4.2750362e-05 7.7774755e-05 7.725969e-06 8.756098e-06 0.0001601851 0.0011614707 6.901866e-05 4.584075e-05 4.584075e-05 3.811478e-05 3.7599715e-05 4.7385944e-05 5.9747494e-05 5.2021525e-05 5.047633e-05 6.798853e-05 5.150646e-05 7.4684365e-05 1.4421809e-05 4.3780492e-05 0.00024980633 0.0045536864 0.0002879211 0.00026371307 0.00026422815 0.00029719228 0.00023177908 0.00032397563 0.00030182785 0.0003275811 0.000350759 0.00032861123 0.0003548795 0.0005253659 0.00015915497 0.000183363 0.00073963276 0.0031764035 0.0002719541 0.00029873746 0.00024723102 0.00028689098 0.0002807102 0.00034097277 0.00092763134 0.00040484077 0.0003492138 0.00032243045 0.0006649484 0.0004599527 0.00043265428 0.00017357677 0.0008555223 0.0022369255 0.00018078768 0.0002884362 0.00024362556 0.0002966772 0.00029307176 0.0002838006 0.0004002052 0.00044038024 0.00032088524 0.00024465568 0.00031521954 0.00045789243 0.00016070016 0.00018851364 0.0010321895 0.00034251797 5.4081785e-05 4.2750362e-05 4.4810622e-05 5.4081785e-05 4.790101e-05 5.3051655e-05 5.150646e-05 7.004879e-05 4.790101e-05 3.811478e-05 4.893114e-05 4.4295557e-05 2.6268295e-05 4.1720232e-05 4.687088e-05 0.0989161 0.06202511 0.062434588 0.05538387 0.060571082 0.059547648 0.054987267 0.054547403 0.06043459 0.0532788 0.052226007 0.05303878 0.05649589 0.05064424 0.056717884 0.05389842 4058.0 5.7000985 23131.0 0.017249579 0.010418918 0.009467814 0.008819333 0.013531624 0.012494056 0.011802343 0.011413255 0.012623752 0.009727206 0.008473477 0.008732869 0.01387748 0.010505382 0.011845576 0.009943366 0.016774027 0.011759111 0.008689637 0.0074791405 0.009856902 0.008516709 0.0078249965 0.008257317 0.010289222 0.008430245 0.009727206 0.008776101 0.011413255 0.008905797 0.00959751 0.009208421 0.018070986 0.010894471 0.010332454 0.009078725 0.010764775 0.008862565 0.010548614 0.008387013 0.014180104 0.011802343 0.009683974 0.009035493 0.011370023 0.00938135 0.011586183 0.009683974 0.014698889 0.009554278 0.009986598 0.008949029 0.012061736 0.009554278 0.009640742 0.009943366 0.01366132 0.009165189 0.010505382 0.00959751 0.011067399 0.00981367 0.010375686 0.010591847 0.017768363 0.010894471 0.00959751 0.008170853 0.0130128395 0.008214085 0.009294885 0.008257317 0.015304137 0.009294885 0.008905797 0.008732869 0.011456487 0.008041156 0.009900134 0.007781765 0.013142536 0.0079546925 0.008776101 0.008689637 0.011456487 0.00938135 0.008473477 0.008041156 0.011413255 0.009078725 0.011975272 0.008603173 0.011326791 0.008949029 0.010073062 0.008776101 6.554922 0.0 0.0 0.0 14.0 972654.0 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