Input: 0.65754575 0.0016274053 0.0014567903 0.0014595742 0.0016381433 0.0013279341 0.0012841866 0.001387192 0.0018501197 0.0012794142 0.0013028787 0.0013164007 0.0014448591 0.0013096397 0.0012444162 0.0017868846 0.0016616079 0.0015132643 0.0013688976 0.0013036742 0.0012901522 0.0013752609 0.0011958963 0.0012969131 0.0013338997 0.0011827721 0.0011982826 0.0012535634 0.0013148099 0.0012957201 0.001235269 0.0014078727 0.0016095086 0.0013470239 0.0016313824 0.0013008902 0.0015120711 0.001252768 0.0013438422 0.0012905499 0.0013140144 0.0011441947 0.0012141907 0.001209816 0.0012535634 0.0013669091 0.0013044695 0.0013406606 0.0013963393 0.0012221448 0.0013096397 0.0015411035 0.0013338997 0.001260722 0.0012456094 0.001316003 0.0012981063 0.0012738464 0.0013247525 0.0014587787 0.0013844081 0.0014619604 0.0013732724 0.0018946625 0.0016019522 0.002004031 0.001365716 0.0012670853 0.0016019522 0.0015582048 0.0012118045 0.0012658923 0.0013700908 0.00126629 0.0012173724 0.0012173724 0.0013665115 0.0013669091 0.0012969131 0.001291743 0.0014166221 0.001263506 0.0011549328 0.0012833913 0.00126629 0.0013462285 0.0013152076 0.0013565688 0.0012479955 0.0014082703 0.0011903285 0.0012643015 0.0012845844 0.0013867943 0.0013243548 0.0014150313 0.0012503818 0.0014901974 0.001508094 0.0013243548 0.0013116283 0.001580874 0.0014830388 0.0012169747 0.0013231616 0.0014209969 0.0012845844 0.001246007 0.0013561711 0.0013140144 0.0014138382 0.0014309394 0.001482641 0.0012547566 0.0014659375 0.001408668 0.0018688117 0.0017729651 0.0013879874 0.0012909477 0.001361739 0.001334695 0.0011911239 0.0012452117 0.0012818004 0.001333502 0.0014122474 0.0013740677 0.0014388936 0.0013287296 0.0011485695 0.0017093323 0.0014380981 0.0015697383 0.0011760112 0.0012778234 0.0013736701 0.0016393365 0.0011481718 0.0022521985 0.0011589099 0.0014285533 0.0011879422 0.0012440186 0.0013203777 0.0012320874 0.0011135716 0.0012392461 0.0012213493 0.0012042482 0.0012066343 0.0012750394 0.0012551543 0.0012690739 0.0011974871 0.0012646992 0.0012125999 0.0012308942 0.0011863514 0.0012551543 0.0012913453 0.0012670853 0.0011811813 0.0012631083 0.0012293034 0.0012137931 0.0012197585 0.0012348713 0.0012133953 0.0012241333 0.0011469787 0.0011911239 0.0011485695 0.0011943055 0.0012046458 0.0012165769 0.0012738464 0.0011867491 0.001207032 0.0011958963 0.0012718578 0.0012189632 0.0012332805 0.0012364622 0.0013696931 0.0012125999 0.0012818004 0.0012300989 0.0012273149 0.0013239571 0.0012559496 0.0014202015 0.0015768969 0.0013056627 0.0013541826 0.0015132643 0.0013434446 0.0012293034 0.0013434446 0.0013295249 0.0012730509 0.0012543588 0.0012468025 0.001205839 0.0017061507 0.0012149861 0.0012014642 0.0012281104 0.0013728747 0.0012201563 0.0012905499 0.0012933338 0.0012137931 0.0011437971 0.0012372576 0.0012440186 0.0013048672 0.0012961178 0.0012821981 0.0012774257 0.0013454331 0.0013382745 0.001248791 0.0012364622 0.0013995209 0.0013490124 0.00121777 0.0012953223 0.001232485 0.0013366836 0.001279812 0.0012118045 0.0018672209 0.001294527 0.0012054412 0.0014245762 0.0014464499 0.0012619152 0.0013525918 0.0012885614 0.0014639489 0.0012257241 0.0013661137 0.0013020834 0.0013486147 0.001277028 0.0013167984 0.0014122474 0.0014229853 0.0013020834 0.0013414561 0.0013104351 0.0014901974 0.0013788402 0.0014094635 0.0030694804 0.6430318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003891924 3.9794722e-07 0.0 0.0 1.3928153e-06 0.0 3.9794722e-07 0.0 0.0 0.0 3.9794722e-07 0.0 3.9794722e-07 1.1938417e-06 1.1938417e-06 1.2933285e-05 0.00037466732 3.581525e-06 4.178446e-06 3.7804987e-06 9.948681e-07 7.9589444e-07 3.9794722e-07 4.178446e-06 4.178446e-06 1.1938417e-06 1.9897361e-07 3.9794722e-07 3.581525e-06 5.9692087e-07 4.3774194e-06 3.9794722e-07 0.00035457098 6.765103e-06 6.3671555e-06 2.7856306e-06 6.5661293e-06 4.576393e-06 8.754839e-06 8.9538125e-06 5.9692087e-07 1.5917889e-06 3.9794722e-07 9.948681e-07 3.9794722e-07 1.7907626e-06 1.1938417e-06 1.1938417e-06 0.0003454182 1.3928153e-06 1.5121995e-05 1.5917889e-06 5.173314e-06 3.581525e-06 1.9897361e-05 7.5609973e-06 7.9589444e-07 7.9589444e-07 5.9692087e-07 7.9589444e-07 1.3928153e-06 9.948681e-07 1.3928153e-06 9.948681e-07 0.0012845737 2.3279912e-05 3.2233726e-05 8.555866e-06 3.9197803e-05 2.0295309e-05 3.7009093e-05 2.3876833e-05 9.749707e-06 5.173314e-06 1.3331232e-05 9.948681e-06 1.0147654e-05 1.2933285e-05 9.152786e-06 9.0532994e-05 0.00023518682 9.948681e-07 3.2233726e-05 2.7856306e-06 1.9897361e-06 1.9897361e-07 8.356892e-05 4.835059e-05 0.0 1.9897361e-07 3.9794722e-07 1.9897361e-07 5.9692087e-07 1.9897361e-07 1.9897361e-07 3.9794722e-07 0.000731626 1.9897361e-07 8.97371e-05 3.3825515e-06 8.8344284e-05 3.7208065e-05 0.00016594399 0.00010227244 1.9897361e-07 7.9589444e-07 7.9589444e-07 3.9794722e-07 3.9794722e-07 3.9794722e-07 3.9794722e-07 3.9794722e-07 0.00020355001 2.1887097e-06 2.3478886e-05 1.1142522e-05 2.367786e-05 5.3722874e-06 8.0783284e-05 5.2529034e-05 3.9794722e-07 9.948681e-07 3.9794722e-07 7.9589444e-07 1.9897361e-07 9.948681e-07 5.9692087e-07 3.9794722e-07 0.0026877355 0.00011858827 0.00034521922 9.7696044e-05 0.0004381399 0.00012356261 0.0005630953 0.00031835778 5.8498244e-05 4.9743405e-05 5.0141352e-05 5.113622e-05 0.00017589268 5.4319797e-05 4.4968037e-05 0.00012037904 0.0018042928 9.510939e-05 0.0003581525 0.00018186188 0.00040371745 9.7696044e-05 0.0006144305 0.00033805618 4.914648e-05 4.1983432e-05 4.7554695e-05 3.521833e-05 0.00024593138 4.616188e-05 6.2079765e-05 6.10849e-05 0.0010278977 0.00014684253 0.00013132258 0.0009544764 0.0001108283 7.978842e-05 0.00020772846 0.0001681327 0.00011242009 9.2124785e-05 9.451247e-05 8.97371e-05 0.00011480778 0.00011222112 8.5160704e-05 0.0001394805 0.0006958107 0.00010386423 7.7400735e-05 0.00032830646 0.0001070478 5.551364e-05 7.91915e-05 7.2426395e-05 7.759971e-05 4.894751e-05 4.1187537e-05 4.735572e-05 7.322229e-05 5.451877e-05 7.0237686e-05 0.00010485909 0.0026680373 0.0004729603 0.00034223462 0.00055175385 0.00055215176 0.0005358359 0.0005227037 0.0005451877 0.0009992454 0.00013510308 0.00017032141 0.00022782478 0.00065124064 0.00027856306 0.00053106056 0.001003225 0.0032321273 0.00076604844 0.00052310165 0.00068606104 0.00095069595 0.0012010047 0.0006289556 0.0009499 0.0019702367 0.0001651481 0.0002322022 0.0003084091 0.0011178338 0.0004990258 0.0010623201 0.0020068479 0.020060122 0.019491455 0.019458426 0.019268604 0.019545576 0.018763809 0.018947462 0.019836873 0.019249106 0.019151608 0.018797833 0.019383611 0.01894189 0.01929288 0.019601488 0.019907707 4249.0 6.955048 29552.0 0.023044126 0.008730373 0.011742014 0.0075798593 0.0106930155 0.0075798593 0.007613698 0.008967244 0.008391987 0.007512182 0.006733893 0.007207634 0.008019762 0.007207634 0.010422306 0.007884407 0.01133595 0.009610179 0.010219274 0.0104899835 0.011978884 0.01082837 0.008798051 0.009508663 0.009880888 0.00957634 0.010050082 0.00957634 0.011640498 0.011166757 0.010625338 0.0119450465 0.009677856 0.008899567 0.009610179 0.011538982 0.010997564 0.008967244 0.008121278 0.008358148 0.009779372 0.008628857 0.0068692476 0.0074445046 0.009305631 0.008019762 0.008290471 0.0076475367 0.011640498 0.0077828914 0.0074445046 0.010286951 0.011065241 0.009102599 0.008662696 0.010557661 0.008087439 0.008222794 0.008527341 0.008628857 0.008493503 0.0076813754 0.008121278 0.008899567 0.008764212 0.018171359 0.010050082 0.016005686 0.014922848 0.028322956 0.009677856 0.009711695 0.009779372 0.017020844 0.007106118 0.009508663 0.015227396 0.010896048 0.016445588 0.020607742 0.012181916 0.0067000543 0.02114916 0.015836492 0.023517868 0.012689496 0.010422306 0.007512182 0.010523822 0.010726854 0.007952085 0.0071399566 0.0076475367 0.0074445046 0.007072279 0.0073429886 6.50252 1.0 0.0 0.0 19.0 2514432.0 2535424.0 1.0 0.0 69.0 1.0 1.0 0.0 1.0 0.0 1538595700.0 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 0.0 5.0 1.0 5.0 1.0 59392.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2166272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59904.0 0.0 272384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.045051 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.7507675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1996028 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.975369 0.0 7.9860654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -11379.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2165818.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59202.0 0.0 272256.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2229752.0 272256.0 2248704.0 0.0 0.0 0.0 0.0 5876.0 2523136.0 28.0 107056.0 0.0 0.0 0.0 0.0 24.0 107180.0 64.0 107088.0 0.0 0.0 280.0 65536.0 0.0 0.0 0.0 0.0


Input: 0.05666505 0.008303103 0.0061693504 0.005661018 0.0057562655 0.004969438 0.0042043515 0.005418758 0.005051227 0.005630994 0.0037571022 0.0044756 0.004957014 0.0031700872 0.0043182345 0.004645389 0.005034662 0.0037684904 0.0049332026 0.004153622 0.0043451525 0.0031773343 0.0041028922 0.0038451026 0.005069862 0.003348159 0.0031649107 0.0029350743 0.004159834 0.00343823 0.003787126 0.003791267 0.0061621033 0.0038161143 0.0034827478 0.0030313572 0.0049021435 0.004159834 0.0038419967 0.0037208667 0.0047251075 0.003894797 0.0033378059 0.0030986515 0.004367929 0.003735361 0.0037229373 0.003580066 0.005518147 0.0039382796 0.003106934 0.002910227 0.00368049 0.0030706986 0.0026803906 0.0028626034 0.004173293 0.0033057116 0.0035272657 0.0033574766 0.0040035034 0.0032187463 0.0035086302 0.0034568652 0.006594858 0.0039424207 0.0036131956 0.00321357 0.0041525867 0.003220817 0.0035376186 0.0030727691 0.0049994616 0.003773667 0.0037094783 0.0035914541 0.0041235983 0.0031214282 0.0035572893 0.0034692888 0.005158898 0.0036266544 0.0036587487 0.003331594 0.0039331033 0.0033792178 0.0033657588 0.0035407245 0.004652636 0.0036411486 0.0038026553 0.0035055242 0.0041101393 0.003386465 0.0036856665 0.0037902317 0.00590949 0.0036307955 0.0033409118 0.002960957 0.0039993622 0.0030489573 0.003262229 0.0030220395 0.0049704732 0.0031638755 0.0031990756 0.003051028 0.0035779953 0.0028367208 0.0030914044 0.0031949345 0.0045118355 0.0032839703 0.003220817 0.0031359224 0.003894797 0.0033264176 0.0032881114 0.003628725 0.004620542 0.0032912174 0.0034848184 0.0031711226 0.0040304214 0.003192864 0.0034641123 0.003346088 0.008646822 0.0045988006 0.0040128212 0.0035220892 0.00437207 0.00343823 0.0030178982 0.0033916414 0.004541859 0.003829573 0.0029537098 0.003189758 0.0037312196 0.0027963442 0.0028501798 0.0029889098 0.005229298 0.0032052875 0.0035034537 0.0030282512 0.0036628898 0.0031804403 0.003303641 0.003256017 0.0045397887 0.0028377562 0.0030437808 0.0027021319 0.0035127716 0.00323117 0.002993051 0.003151452 0.0050067087 0.0034092416 0.0032653348 0.0028015207 0.003777808 0.0030127217 0.003062416 0.0031876874 0.0041422336 0.0030044394 0.0031224636 0.0030158276 0.0036452897 0.0028325797 0.0029216155 0.00302411 0.00466506 0.0031152165 0.0038419967 0.0028667445 0.0035676423 0.0031597342 0.0029951218 0.003120393 0.0042488696 0.0031442048 0.0033347 0.0031783697 0.003652537 0.003197005 0.0033336647 0.0033564412 0.0067232354 0.0040563038 0.0037229373 0.0033367705 0.0041173864 0.003254982 0.0033026056 0.0032259934 0.0043358346 0.0033284882 0.0031152165 0.0030903693 0.0036432191 0.0029899452 0.003075875 0.0027963442 0.004240587 0.0032694761 0.0030955458 0.0030013334 0.0037167254 0.0030344632 0.0029423214 0.0029495684 0.003979692 0.0031121105 0.0027311202 0.0026317316 0.0035231244 0.0029474979 0.0035779953 0.0028915918 0.0049684024 0.003241523 0.0034030296 0.0029775216 0.0038047258 0.0030779457 0.0031949345 0.002907121 0.004434188 0.005446711 0.0034672183 0.0031359224 0.0037964436 0.003089334 0.0032529111 0.003189758 0.0046122596 0.0033284882 0.0034195946 0.0030375689 0.0037374315 0.0030934752 0.0033150292 0.003245664 0.004350329 0.0030386043 0.0031835462 0.002864674 0.0040107504 0.0030872633 0.0042188456 0.0045139063 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099212326 0.062012237 0.062462162 0.0553204 0.060567092 0.059556317 0.054923866 0.054466166 0.060474306 0.05315631 0.052136723 0.05297955 0.056436397 0.05057132 0.05668365 0.053839486 4016.0 5.7034364 22905.0 0.017114168 0.010434403 0.009342939 0.008644401 0.013446846 0.012486356 0.01178782 0.011482209 0.012530015 0.009779524 0.008469766 0.008600743 0.013883431 0.01052172 0.01178782 0.009997817 0.016764898 0.011875137 0.008819035 0.007552936 0.009823183 0.008469766 0.007814888 0.00833879 0.010303427 0.008469766 0.009648548 0.008862694 0.0115258675 0.008950011 0.009692207 0.009211962 0.018074656 0.0108709885 0.010390745 0.009037328 0.010914647 0.008819035 0.010652696 0.008295132 0.014320018 0.011613185 0.009779524 0.008950011 0.011482209 0.009342939 0.011700502 0.009561231 0.014800262 0.00960489 0.009954158 0.008993669 0.012093429 0.009386597 0.009561231 0.009823183 0.013708797 0.009211962 0.010565379 0.009561231 0.011132941 0.0099105 0.010390745 0.010740013 0.01794368 0.011001965 0.009692207 0.008207815 0.013097577 0.008251473 0.009386597 0.00833879 0.015455141 0.009299279 0.008906352 0.00868806 0.011351233 0.007989522 0.0099105 0.007858546 0.013272211 0.008033181 0.008775377 0.008819035 0.011394892 0.009386597 0.008207815 0.007858546 0.0108709885 0.008819035 0.011918795 0.0085134255 0.011307575 0.008993669 0.009954158 0.008819035 6.5545235 0.0 0.0 0.0 14.0 965904.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.018471293 0.00677456 0.005865711 0.0063265255 0.0064145257 0.0063623097 0.0072149266 0.007368288 0.00601396 0.003545571 0.00539029 0.0051817917 0.0035649238 0.0045300056 0.006559489 0.007462861 0.0058927317 0.0065211486 0.0058744745 0.0058076526 0.0063246996 0.0063911565 0.008305619 0.007447525 0.0045694415 0.0031377026 0.004688114 0.006283073 0.004749093 0.0045343875 0.0065781116 0.0072496156 0.008119759 0.008328623 0.006808884 0.007433284 0.009548577 0.0088025825 0.005481212 0.0063634054 0.007857219 0.0077180983 0.008410781 0.0065353895 0.008469204 0.009334601 0.007542828 0.0064930324 0.006818743 0.007867808 0.0057846485 0.008014232 0.008977123 0.009166999 0.005421693 0.007213831 0.007967128 0.008072656 0.008036871 0.0068600043 0.0088920435 0.0093645435 0.0071930178 0.006690211 0.004807517 0.004938239 0.0033571555 0.0035758782 0.0033275785 0.0022084052 0.002721801 0.003298732 0.003600708 0.004008942 0.0023668786 0.0028839258 0.0023493515 0.0037705011 0.0025932693 0.0019425786 0.004570537 0.003126383 0.0038143187 0.0032446904 0.0027765727 0.0019498814 0.0032600265 0.0028265978 0.0030303495 0.003937738 0.0015310586 0.0029452704 0.0017651174 0.0024391776 0.0025476262 0.0018673585 0.006245098 0.0072466945 0.009891815 0.0058328477 0.00541512 0.0043773744 0.009189273 0.0055772453 0.008682084 0.008278598 0.0070754406 0.009135596 0.006641282 0.0063812975 0.006023454 0.00838303 0.0068432074 0.0061041513 0.010246372 0.006275405 0.0057295114 0.006230127 0.008896425 0.005761279 0.007587741 0.0071010008 0.008878899 0.008240988 0.007297815 0.0058207978 0.0057970635 0.008068274 0.002090828 0.0015927684 0.0014876062 0.002989088 0.0018191591 0.0022489363 0.0015336146 0.0014861457 0.0010939784 0.00179652 0.0011392566 0.0019524375 0.0009701938 0.0015686686 0.0010954391 0.0013828092 0.0018173334 0.0021580148 0.0013528672 0.0010545426 0.0009994055 0.00094755477 0.0013740457 0.001487241 0.0015913078 0.0015715898 0.0009552228 0.0009789574 0.0021850357 0.001843989 0.0023869616 0.0023869616 0.0023646876 0.0021430438 0.0016139469 0.0013353402 0.002138297 0.001701582 0.002412887 0.0018447193 0.0025268127 0.0021762722 0.0015708596 0.0021561892 0.0031968562 0.0024048537 0.0026834605 0.00314391 0.001841433 0.0023150279 0.0016281876 0.001527042 0.0019254166 0.0021047036 0.0029401584 0.003013918 0.0022901979 0.0022573348 0.0014887017 0.0022872768 0.0025859664 0.002971561 0.0021499817 0.0031899184 0.0016438889 0.0015500463 0.0025297338 0.0018655327 0.0021404878 0.0010713394 0.0020302136 0.000945729 0.001996255 0.0015102453 0.002824407 0.0019111759 0.0016446192 0.0016259967 0.0015285026 0.001377332 0.0025465307 0.0021448696 0.0017921382 0.002954034 0.0010048827 0.001005613 0.0022675588 0.0021956249 0.0014806684 0.0014985605 0.0023091855 0.001694279 0.0017388269 0.0020269274 0.0013196389 0.0019392922 0.0012141116 0.0013630913 0.0021569193 0.00068574486 0.0017537979 0.0006254957 0.0016208846 0.0011264764 0.0018947443 0.00072298973 0.00070144614 0.0007233549 0.0014054483 0.0010735303 0.0011031071 0.0016490009 0.0009271066 0.0010592896 0.0010644016 0.00071970344 0.0015810836 0.0016603204 0.00079236756 0.0019334499 0.0024578 0.00077155425 0.00066785264 0.00078141317 0.0027228962 0.0016135817 0.00083947147 0.005574324 0.0018705574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00072776375 1.0960298e-06 3.6534325e-07 2.922746e-06 1.461373e-06 3.2880891e-06 6.5761783e-06 4.0187756e-06 3.6534325e-07 0.0 0.0 3.6534325e-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 0.0 0.0 0.0 0.0006291211 2.0093878e-06 7.1241934e-06 2.2285938e-05 3.6351652e-05 3.470761e-06 2.8679446e-05 1.3152357e-05 1.6440446e-06 7.306865e-07 3.6534325e-07 1.461373e-06 0.0 5.480149e-07 1.2787013e-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 0.0020941475 5.6628203e-05 7.453002e-05 0.00028496774 0.00072283164 2.7948758e-05 1.4431058e-05 1.1690984e-05 5.0965384e-05 3.2880891e-06 3.6534325e-06 3.6534325e-06 3.836104e-06 6.0281636e-06 1.2787013e-06 7.1241934e-06 0.00023217563 0.0 0.0 2.922746e-06 1.6805789e-05 3.1054176e-05 5.9368278e-05 3.178486e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008881494 1.1508312e-05 1.4065715e-05 0.000108689615 0.00025902837 2.4477997e-05 7.215529e-05 5.608019e-05 8.950909e-06 7.85488e-06 2.2285938e-05 4.932134e-06 4.384119e-06 2.3747311e-06 4.5667907e-06 6.941522e-06 0.0009186556 4.731195e-05 7.416468e-05 0.00012531273 0.00041064582 0.000356575 0.000367718 0.00018595971 2.0641894e-05 4.932134e-06 1.004694e-05 5.845492e-06 3.160219e-05 3.5072953e-05 8.402894e-06 1.589243e-05 0.0014712373 0.0003300876 0.001155946 0.0011669063 0.0009975698 0.00089710037 0.0012704812 0.0007929775 4.256249e-05 1.1873655e-05 0.00036716997 0.00036607395 1.808449e-05 2.3381968e-05 1.8449835e-05 4.8773323e-05 0.060375165 0.059575062 0.09457604 0.094430454 0.004573732 0.0046904595 0.08873493 0.08900985 7.343399e-05 5.754156e-05 0.00059587485 0.0005836358 7.946216e-05 7.471269e-05 4.8773323e-05 8.914375e-05 0.0010379402 0.00040607902 0.00071369804 0.0006857493 0.0010242398 0.0010706384 0.0004415173 0.00035383494 0.00014303188 7.1424605e-05 0.00024551066 0.0002272435 9.352787e-05 7.215529e-05 5.6628203e-05 9.07878e-05 0.001792922 0.00079023745 0.0011248918 0.0010982217 0.0019575092 0.0020773418 0.00069871894 0.0007505977 0.0005355932 0.00017682613 0.00045412165 0.00044571876 0.0003476241 0.00026523918 0.00033849053 0.0009880709 0.0068845283 0.0027590722 0.002519407 0.0026427105 0.006150919 0.00598962 0.0050669457 0.0055548614 0.0030049481 0.0012787014 0.003033445 0.0034274678 0.0029709714 0.0021527852 0.0026951372 0.006345099 0.0063940547 0.005991447 0.004179344 0.0042412695 0.009516461 0.009387678 0.0021882234 0.0021723309 0.0031998588 0.0027486598 0.009048091 0.009033842 0.0053283484 0.005317388 0.0016603024 0.0018972275 0.021648597 0.024397988 0.01883801 0.01757429 0.026079297 0.02105802 0.015461692 0.015977008 0.01915586 0.02071478 0.021636358 0.022417827 0.019310582 0.021957677 0.014976515 0.015667928 89738.0 8.239654 739410.0 0.013917853 0.016509108 0.011184593 0.014142357 0.01885963 0.017526135 0.010210844 0.01281968 0.015448804 0.0154312225 0.015532655 0.013666302 0.017074425 0.019496625 0.01436145 0.013558107 0.014115308 0.01647665 0.011417211 0.014562963 0.018877214 0.017965676 0.010507026 0.013253811 0.01564761 0.016139895 0.015654374 0.013529706 0.016755251 0.019113889 0.013921911 0.013244344 0.005496274 0.0042412193 0.004634776 0.004588794 0.002665639 0.001797379 0.0026074843 0.0030591958 0.0038544245 0.0060805236 0.0014538618 0.0030808346 0.0008317442 0.003134932 0.0020137678 0.00091153756 0.006348305 0.0038097943 0.004982351 0.0047835438 0.0028914947 0.0017946741 0.0023302364 0.00322284 0.0039017594 0.0057694647 0.0015850476 0.0029942791 0.0012969801 0.0028671508 0.0018609432 0.0015931621 0.012108303 0.012737182 0.018229399 0.01101013 0.009452131 0.007760241 0.016847216 0.010976319 0.0155867515 0.015227005 0.012121826 0.014983568 0.013383644 0.010985786 0.012055558 0.016770128 0.012420714 0.011475366 0.019012457 0.011517291 0.010201377 0.0061278585 0.016951352 0.01147807 0.015421756 0.014364155 0.012184039 0.015091762 0.012523498 0.010830256 0.011130496 0.015627325 6.3296795 3.0 10.0 0.0 16.0 2738628.0 49152.0 1.0 0.0 90.0 0.0 1.0 0.0 0.0 0.0 1504708200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 36864.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.660553 0.0 3.3088052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36828.0 0.0 2780.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -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 -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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 40.0 38932.0 2780.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 436.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.14632964 0.0074576465 0.0032916951 0.0034649423 0.0059625884 0.0038098325 0.0020645282 0.0019265721 0.007759225 0.0014453301 0.0016971801 0.0014726005 0.004528487 0.0013779562 0.0011501684 0.0035515658 0.0057829246 0.001535162 0.0012095215 0.0009239846 0.0024816045 0.0020436742 0.00079565344 0.0008501942 0.0023067533 0.0007619665 0.0008389652 0.0006978009 0.0015592241 0.0005823028 0.00059353176 0.0005694697 0.0039830795 0.00055503246 0.0006063649 0.00053738686 0.0040745153 0.0015110999 0.00046038817 0.00053097034 0.00094804674 0.00065288495 0.0005823028 0.0008277362 0.0010394827 0.0028008283 0.0006945926 0.00044595092 0.0041402853 0.0023757312 0.0017501167 0.009650506 0.001924968 0.0014084349 0.0012961451 0.0010747737 0.0025505826 0.001523933 0.0006753429 0.0014357052 0.001787012 0.0010250454 0.00048445028 0.00052776205 0.012164193 0.0044161975 0.0054909713 0.009689005 0.003997517 0.036343396 0.0033317986 0.0029981376 0.0038226654 0.003760104 0.0010138165 0.0011469601 0.0023773354 0.00438251 0.0011565849 0.0015447867 0.008718501 0.0022040883 0.0020917985 0.010260079 0.0031906343 0.014774129 0.0027318504 0.0018190948 0.0020083832 0.00687374 0.0028329112 0.0028056407 0.0016715139 0.005000104 0.0019057182 0.003976663 0.0056321356 0.004708151 0.0012528333 0.0034553176 0.009271929 0.0063074785 0.0033285904 0.0014790171 0.007197776 0.004390531 0.002717413 0.0013057699 0.0028056407 0.0015832861 0.003976663 0.003817853 0.0025168955 0.0013811645 0.0046343603 0.0040071416 0.00912916 0.0050787074 0.0013923935 0.0010154207 0.0021479435 0.0012849161 0.0005069082 0.0005197413 0.001570453 0.002728642 0.0010747737 0.0009111515 0.0044434676 0.0011966884 0.001203105 0.008965538 0.002842536 0.0028120573 0.0010667531 0.00059353176 0.0027093925 0.016304478 0.0021704014 0.04996896 0.0012768954 0.011896302 0.000986546 0.00072507124 0.0025682282 0.00044915918 0.0007507375 0.0005790945 0.0012095215 0.00095767155 0.0016602848 0.00062721875 0.0012576458 0.0006015525 0.0005582407 0.00074913335 0.00092077634 0.00046680472 0.0004780337 0.00044755504 0.00088067283 0.0032515917 0.0004972834 0.0028970768 0.0014693922 0.0007314878 0.0005790945 0.0004780337 0.0010555241 0.00049567927 0.0005582407 0.00051172066 0.00086463144 0.00043953434 0.0008341528 0.00041065982 0.0011870635 0.0007571541 0.0018543858 0.00053417863 0.0009095474 0.00074592506 0.00076517474 0.0015832861 0.0030671156 0.002372523 0.0054444512 0.0007667789 0.0010410869 0.0005197413 0.0008389652 0.0007747996 0.01223638 0.001316999 0.0024382928 0.009709859 0.0045798197 0.0011597932 0.0032243214 0.0035708155 0.0019121348 0.0018720314 0.0010186288 0.0013907894 0.001706805 0.0010442951 0.0011373352 0.0010811903 0.0029869087 0.0012560416 0.0031152398 0.0013105824 0.0019650715 0.00087746454 0.0016458476 0.0009271929 0.0030558866 0.00071705057 0.001031462 0.0017581374 0.0015720571 0.00079244515 0.0005790945 0.0009095474 0.002633998 0.00077640376 0.00093360944 0.0011950843 0.0025842695 0.0028008283 0.0005951359 0.00079244515 0.027103549 0.006844865 0.001203105 0.006174335 0.0073084617 0.0012079173 0.00074913335 0.00077640376 0.007921243 0.0011212939 0.0019378011 0.000984942 0.010057958 0.0010908152 0.0022072967 0.0027462877 0.011099044 0.00364621 0.003564399 0.00433599 0.015736613 0.004687297 0.004958397 0.07542987 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018678568 0.0 0.0 0.00082935416 0.00059768197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007151269 4.8265033e-06 2.3328099e-05 8.687706e-05 0.00019306013 9.81389e-05 8.044172e-06 9.653007e-06 2.011043e-05 0.0 0.0 2.4132517e-06 1.0457424e-05 4.022086e-06 6.4353376e-06 0.00046495316 0.007908226 0.00026706653 0.0002767195 0.0007143225 0.0024784093 0.00063307636 0.0031742302 0.0013811843 0.000252587 0.00013031559 0.00011985817 9.733448e-05 0.0008711838 0.0004931078 0.00051965355 0.0037469754 0.016136609 0.0007698273 0.0011776668 0.002681927 0.004829721 0.0045505883 0.008307217 0.003790414 0.00052528444 0.00028798135 0.0003748584 0.00041668813 0.002662621 0.0014109478 0.0014310583 0.011602109 0.018639151 0.0010537866 0.001205017 0.0030495457 0.006295369 0.0026907756 0.006074959 0.0029280786 0.0023883148 0.0009146224 0.0010948118 0.001569418 0.004947166 0.0030415014 0.0032723693 0.011675311 0.020930132 0.0015975726 0.0013699225 0.0022588035 0.010455815 0.004164468 0.005223081 0.002826722 0.0062881294 0.00157344 0.0018187873 0.0026521636 0.004483017 0.0020271314 0.0044033797 0.010299758 0.08114639 0.010994774 0.008333762 0.011393765 0.048715506 0.034918144 0.023994962 0.015436767 0.057664648 0.005915684 0.006811805 0.010422834 0.018645586 0.0077151656 0.031764023 0.070936725 0.051440872 0.0088292835 0.007782737 0.010506493 0.02481627 0.025878102 0.015090062 0.012556952 0.04216353 0.005460384 0.0057346905 0.00802728 0.01780658 0.009800215 0.022373255 0.043100674 0.0003032653 6.1940125e-05 0.00011181399 6.757105e-05 0.00011744491 0.00012870676 5.6309204e-05 8.526823e-05 0.00017455853 3.7807607e-05 4.343853e-05 3.7807607e-05 0.00010940074 7.802847e-05 9.492123e-05 0.00013916419 4307.0 13.21732 56927.0 0.0076237987 0.00015809722 0.00050942437 8.783179e-05 0.004251058 0.0006850879 8.783179e-05 0.00019322992 0.00035132715 0.000491858 0.0010188487 0.00075535337 0.00042159256 0.021448521 0.001475574 0.00056212343 0.01378959 0.014878704 0.013807156 0.00790486 0.0094331335 0.01075061 0.009468267 0.00699141 0.014492244 0.010820876 0.0010891141 0.0004040262 0.0012120786 0.0007729197 0.00010539814 0.0001229645 0.0017917684 0.010996539 0.009099373 0.018304143 0.007694064 0.022502502 0.005269907 0.003109245 0.005761765 0.024768563 0.003109245 0.00511181 0.009345301 0.0077818963 0.0055861017 0.01094384 0.017373128 0.0030214135 0.0077643297 0.026894093 0.014790872 0.008256188 0.008168356 0.0043037576 0.0039699967 0.006236057 0.0017917684 0.0028984488 0.0014404412 0.0029335816 0.0028808825 0.031514045 0.00029862806 0.036432624 0.009327736 0.032989617 0.02959931 0.06283486 0.0077994624 0.010399283 0.014861138 0.042317353 0.0033727405 0.00699141 0.02092153 0.011997822 0.039067578 0.037433907 0.014878704 0.0015985385 0.041193105 0.034113865 0.043652397 0.011611362 0.0074481354 0.005603668 0.009749328 0.008642647 0.0011066805 0.0003688935 0.00066752156 0.0003688935 0.00035132715 0.00042159256 5.7325325 0.0 1.0 14.0 4.0 623387.0 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 -6.514479 0.0 0.0 0.0 0.0 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: 0.026305322 0.004288759 0.0040812064 0.00431936 0.0040845326 0.0042761196 0.006877847 0.004692556 0.0061407685 0.0036341695 0.0037359502 0.0037166586 0.003766551 0.0037392764 0.004143738 0.004165691 0.003504449 0.0035723029 0.003598247 0.0033953509 0.0036261869 0.0037645553 0.003925542 0.00384904 0.0032130769 0.0035091056 0.0034904792 0.003292905 0.0034605437 0.0035264017 0.0038211 0.0037312936 0.0034159732 0.0033427973 0.003640822 0.0035117667 0.003806465 0.0037991474 0.0038836321 0.0038057999 0.0031312532 0.003273613 0.0032669608 0.0034678613 0.0031897938 0.003367411 0.0036341695 0.0036960363 0.0033913595 0.0034206298 0.0034345996 0.0034492346 0.0035397063 0.003487153 0.0037306284 0.0036907145 0.0032430124 0.0032895787 0.0033906943 0.0033221752 0.0034326038 0.0034086555 0.003535715 0.0036514658 0.0038536966 0.003678075 0.003903589 0.0067627616 0.004111142 0.004209596 0.0042987377 0.004450411 0.0037126672 0.0035676463 0.0037958212 0.0038430528 0.004010692 0.0036740836 0.003801143 0.0038882887 0.0033627544 0.0035629896 0.0035377108 0.0036561224 0.0036967015 0.0037712075 0.0039242115 0.0040067 0.003079365 0.0034665307 0.0033694068 0.0032709523 0.0035204147 0.003583612 0.0037645553 0.0036760792 0.0036880535 0.003698032 0.0035124319 0.0036175388 0.003792495 0.0039594686 0.0039208853 0.003923546 0.0032922397 0.0033354799 0.0034745135 0.003598247 0.0034997924 0.0035111015 0.0038503704 0.003797817 0.0035463588 0.0035709725 0.0034824964 0.0035290627 0.0038390614 0.0038630099 0.0039208853 0.004294746 0.0056159 0.0037765296 0.0036048994 0.0037452634 0.0036920449 0.0038344047 0.0037705423 0.0037672163 0.0042009484 0.00424818 0.0040326444 0.004142408 0.004190305 0.0040519363 0.004367922 0.004502964 0.004063245 0.004296742 0.0040785456 0.0038882887 0.004006035 0.0041104765 0.00423421 0.004191635 0.0036428175 0.003952816 0.0038383962 0.0036488047 0.003894941 0.0039268723 0.0041836523 0.0039993827 0.0036175388 0.0063456604 0.003926207 0.0035876033 0.0037712075 0.003755242 0.0041523864 0.003956808 0.0037259718 0.0038477094 0.0037512507 0.0036448133 0.0036707574 0.0038237611 0.0041357554 0.0038709927 0.0036335043 0.0036527961 0.0037166586 0.0037286328 0.003632839 0.0037126672 0.0038796407 0.0037426027 0.0034312734 0.0035097708 0.0035949207 0.0034352648 0.0036787402 0.003936851 0.0042016134 0.00396346 0.0034805008 0.003487153 0.0035024534 0.003370072 0.003729298 0.0038849625 0.004027988 0.0038171087 0.003652131 0.003580951 0.0038137825 0.0037758644 0.0040592537 0.003974104 0.004408501 0.0043007336 0.003954147 0.003572968 0.0037213152 0.0039328593 0.004125777 0.003866336 0.0043838876 0.004188309 0.0033574325 0.0033594281 0.0035856075 0.0035370456 0.003700693 0.0038004778 0.003952151 0.003946829 0.003515093 0.0033926899 0.003664105 0.0032942353 0.0034971314 0.003555672 0.0038397266 0.0039029238 0.0038071303 0.0034598785 0.003686723 0.0034951358 0.0038091259 0.003880306 0.0040785456 0.004066571 0.0034904792 0.0035616593 0.003624191 0.003669427 0.0037851776 0.0037984822 0.00416303 0.00383507 0.0036255214 0.0036208648 0.003795156 0.003675414 0.0037878384 0.003923546 0.0042069354 0.0039767646 0.0036448133 0.00356432 0.0037399416 0.0040532667 0.0038430528 0.0041350904 0.0047763754 0.0061427644 0.006803652 6.656868e-07 1.9970603e-06 9.985301e-07 0.0 3.328434e-07 9.985301e-07 3.328434e-07 3.9941206e-06 3.328434e-07 6.656868e-07 3.328434e-07 6.656868e-07 3.328434e-07 6.656868e-07 6.656868e-07 0.0006260784 1.9970603e-06 9.985301e-07 2.3299037e-06 3.328434e-07 0.0 0.0 2.9955904e-06 6.656868e-07 0.0 0.0 0.0 0.0 0.0 0.0 4.626523e-05 0.0018948774 1.564364e-05 1.4645109e-05 3.6612773e-06 8.321084e-06 4.3269642e-06 1.3646579e-05 1.2315205e-05 9.985301e-06 5.6583376e-06 4.3269642e-06 6.3240245e-06 7.655398e-06 4.6598075e-06 7.988241e-06 3.0954434e-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 0.000567498 4.9926507e-06 1.16495185e-05 8.321084e-06 6.3240245e-06 3.9941206e-06 3.4282868e-05 3.2618653e-05 1.6642169e-06 9.985301e-07 1.3313736e-06 9.985301e-07 1.9970603e-06 9.985301e-07 9.985301e-07 2.9955904e-06 0.0015646968 8.6539285e-06 8.6539285e-06 3.3284339e-06 7.588829e-05 1.5976482e-05 7.7219665e-05 7.6221135e-05 1.1982362e-05 5.5252003e-05 1.6975013e-05 1.16495185e-05 5.6583376e-06 1.1982362e-05 1.3646579e-05 8.7204964e-05 0.002027682 2.3631881e-05 2.5961785e-05 2.263335e-05 6.4238775e-05 1.7307857e-05 2.562894e-05 6.6568675e-05 3.7611302e-05 5.1590727e-05 2.3631881e-05 2.7958844e-05 3.0288747e-05 2.7958844e-05 5.092504e-05 0.00020303446 0.0013912853 3.7611302e-05 2.3299037e-05 1.4645109e-05 2.1301978e-05 1.8306386e-05 1.6975013e-05 2.9955905e-05 5.1590727e-05 4.0939736e-05 2.0303447e-05 3.3950026e-05 2.9290219e-05 2.3964723e-05 6.923143e-05 0.00022233938 0.0014751619 1.9970603e-05 1.8306386e-05 1.7973543e-05 2.263335e-05 1.1982362e-05 1.963776e-05 2.2966195e-05 3.2951495e-05 4.7596604e-05 0.00014012707 9.4527524e-05 0.00010284861 9.352899e-05 0.00010018586 0.001187918 0.003000916 4.3602482e-05 0.00010284861 9.486036e-05 0.00019205063 9.319615e-05 0.00044334738 0.00032418946 0.00013080746 0.00019038642 0.00014744962 8.5873595e-05 8.021526e-05 7.8218196e-05 0.0002063629 0.0009206448 0.0027126735 0.0002010374 0.0001610962 0.00011150254 0.0001411256 9.086625e-05 0.00012481627 0.00017574131 0.00017673984 0.00018805651 0.00019238348 0.00014312266 0.00016941728 0.0001963776 0.00038010714 0.0016515689 0.0019577849 0.0001358001 0.00012914323 0.00010018586 0.0007592158 0.00012015647 0.0001664217 0.0004180513 0.00019438054 0.00048961263 0.00038110567 0.00010218292 0.00016242758 0.00014545256 0.00036246644 0.001192245 0.00021068986 1.6642169e-05 2.1967664e-05 2.3299037e-05 0.00019537906 1.963776e-05 3.2285807e-05 0.00025961784 3.4282868e-05 0.00029523208 6.989711e-05 3.7944144e-05 3.4282868e-05 3.6945617e-05 3.9608363e-05 3.561424e-05 0.0009952018 0.00011116969 0.00011682803 0.000109838315 0.00039874637 0.00013413589 0.00016076336 0.0005372092 0.00013380304 0.0005212327 0.00019371485 0.00013413589 0.00014611824 0.0001158295 0.00015244227 0.0001288104 0.0027506177 0.00068532454 0.00063573086 0.00055052293 0.0018625916 0.0007898374 0.00065337156 0.002125205 0.0010088483 0.0019284945 0.0006943113 0.00044634298 0.0010204979 0.00037245176 0.00081679766 0.0007006353 0.06371288 0.055979267 0.054972745 0.05437263 0.061832983 0.05594598 0.056713186 0.057782277 0.06479728 0.060407747 0.05830551 0.05794637 0.061543074 0.056816034 0.058030248 0.058128767 6171.0 5.7603307 35547.0 0.011702816 0.009592934 0.010746336 0.010915127 0.010633809 0.011224576 0.009621065 0.010408754 0.0077643683 0.008608322 0.00905843 0.009086561 0.008355135 0.0101837 0.010211832 0.009846119 0.00905843 0.00922722 0.009283484 0.009030298 0.009030298 0.009930515 0.010043042 0.00953667 0.0077925 0.009564801 0.009002166 0.009930515 0.008861507 0.008889639 0.008974034 0.011280839 0.011112049 0.010830731 0.009874251 0.017104115 0.011843475 0.013053141 0.011534025 0.013615776 0.009452274 0.010633809 0.00922722 0.01066194 0.0117309475 0.010071173 0.010436886 0.011280839 0.009592934 0.010324359 0.010043042 0.010943258 0.011984134 0.010436886 0.01049315 0.011168312 0.008045686 0.009649197 0.008720849 0.009930515 0.009592934 0.008664585 0.009508538 0.009677328 0.011421498 0.011899739 0.009846119 0.011337103 0.012434242 0.015303683 0.010718204 0.012068529 0.009255352 0.0116746845 0.009508538 0.010155569 0.011168312 0.009817988 0.011421498 0.012940614 0.011055785 0.008889639 0.011562157 0.009817988 0.014122148 0.010858863 0.01049315 0.0116746845 0.016119504 0.010324359 0.008889639 0.009142825 0.008495795 0.010465018 0.009030298 0.009452274 6.5687046 1.0 0.0 0.0 22.0 1503232.0 294912.0 0.0 0.0 44.0 1.0 1.0 0.0 0.0 0.0 94109600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 4.0 0.0 4.0 0.0 4.0 0.0 118784.0 4096.0 4096.0 6.0 0.0 0.0 3.0 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 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 -147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 20480.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9317803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.49544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5382276 0.0 4.282213 0.0 0.0 7.6835165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2634.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -147288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20972.0 0.0 17840.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 30292.0 17840.0 180224.0 0.0 0.0 0.0 0.0 8.0 5402.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.25846744 0.035631336 0.034576524 0.016896097 0.020880826 0.008485186 0.022056624 0.010066932 0.00795965 0.0050372034 0.023494959 0.0048587546 0.0033438099 0.0037259327 0.0048092376 0.0020918665 0.004481303 0.00862346 0.012084523 0.0072439867 0.0027472682 0.006780114 0.004062276 0.0034732085 0.002736991 0.0018283979 0.0015485792 0.0032863512 0.0023955095 0.0018461492 0.0050647645 0.0029649567 0.007260804 0.0017387064 0.0017999021 0.0012664248 0.0014668291 0.00437386 0.0025379881 0.0016555549 0.012173748 0.0015663306 0.008603374 0.0047858804 0.0038515942 0.0043318174 0.004325277 0.0018246607 0.006397991 0.0031770398 0.0034433112 0.002619738 0.0028799367 0.0019274321 0.0018508207 0.0013832105 0.0017989678 0.0020091822 0.0016373363 0.001345372 0.0028098654 0.0022035136 0.0026342196 0.001146369 0.0015112077 0.0032975627 0.002018058 0.0034297642 0.0026169352 0.0024109252 0.0022067837 0.0014084362 0.0015065363 0.0026608468 0.0011739305 0.0008530032 0.0015168134 0.0018377407 0.0015583892 0.0013677948 0.0020175907 0.0011729961 0.0028079967 0.0030709982 0.0030158754 0.0019297679 0.0014159105 0.0010697575 0.0014621577 0.0013962905 0.0007665817 0.00089551316 0.0010193061 0.0008665503 0.0007960117 0.005493602 0.001996102 0.010578454 0.0029322568 0.0065082368 0.005729509 0.019394845 0.0026388909 0.0036619343 0.0024795951 0.010648525 0.0009184032 0.0018162521 0.0073864656 0.004875572 0.010321058 0.01946585 0.0086524235 0.0016681678 0.013890965 0.011154441 0.01493176 0.0050400062 0.001803172 0.0015761405 0.002083458 0.0039006444 0.001972745 0.0077583115 0.0020199264 0.005330569 0.0015443749 0.0006474602 0.005065699 0.0038796228 0.0020993408 0.0016181835 0.0010445318 0.00084039033 0.0024282094 0.00067735737 0.0009034546 0.0007432246 0.0009609132 0.00082030316 0.0014350634 0.001077699 0.00070725457 0.0005811259 0.0006969774 0.0010478018 0.0006142931 0.001371532 0.00080535456 0.0006796931 0.001557922 0.0016228548 0.0010197732 0.00085674034 0.0006993131 0.00067362026 0.001045466 0.0007002474 0.0006208331 0.0004862959 0.0009034546 0.00082684314 0.0014210491 0.00066614593 0.00077265454 0.0009819346 0.00058813306 0.0006558688 0.0005470245 0.0007273417 0.00054749165 0.0012757676 0.00084646314 0.00087589317 0.00056757877 0.00051058736 0.00073248026 0.00063905166 0.0005993445 0.00057131593 0.0009249432 0.0005815931 0.0004157573 0.0006993131 0.0006647445 0.000806756 0.0005274045 0.00073201314 0.0005801916 0.0007553703 0.0005615059 0.00047508447 0.000829646 0.00076985173 0.00060635165 0.0007002474 0.00084272603 0.0006549345 0.0017531877 0.00052179873 0.00060401595 0.00057365163 0.00086281315 0.0005423531 0.0006035488 0.0005456231 0.00047601876 0.00056898023 0.0009230746 0.0008319817 0.00049563876 0.0005395502 0.00091373175 0.00053394446 0.0005353459 0.0004265016 0.0005073173 0.00058673165 0.00047508447 0.00087822886 0.0010239775 0.000836186 0.0014416034 0.00046854446 0.0007390203 0.0015326963 0.00047321588 0.0006100888 0.0006497959 0.0005470245 0.0010305175 0.0006320445 0.000783866 0.0006311102 0.00051759445 0.00054749165 0.0009725918 0.00058486307 0.00048676305 0.0005255359 0.00048489447 0.0006315774 0.0007039845 0.00053347735 0.0006666131 0.0005568345 0.00039567015 0.00049844163 0.0006189645 0.0006437231 0.00051525875 0.00048489447 0.0006315774 0.00066381023 0.0021437195 0.001051539 0.0033466783 2.3373923e-07 2.3373923e-07 4.6747846e-07 9.349569e-07 0.0 9.349569e-07 7.012177e-07 0.0 0.0 0.0 0.0 0.0 4.6747846e-07 2.3373923e-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 0.0017696397 7.4796553e-06 3.0619838e-05 1.1219483e-05 1.2388179e-05 5.3760023e-06 4.3942975e-05 1.9634095e-05 1.4024354e-06 1.1686961e-06 4.6747846e-07 2.3373923e-06 2.3373923e-06 2.8048707e-06 2.103653e-06 1.8699138e-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 0.0027590578 5.5162458e-05 7.9938814e-05 3.646332e-05 6.100594e-05 4.604663e-05 0.00013790614 6.942055e-05 2.0802792e-05 1.0518265e-05 5.3760023e-06 2.0335314e-05 9.349569e-06 1.8932878e-05 1.6829224e-05 3.7398277e-06 0.0050457288 0.0013194579 0.0002150401 0.00013626997 9.723552e-05 7.596525e-05 0.000401564 0.00021691 3.8333234e-05 1.5894268e-05 1.2855658e-05 1.2621918e-05 2.8983664e-05 1.2621918e-05 9.817048e-06 1.9867835e-05 0.0278145 0.0012495699 0.001750473 0.0008804957 0.0005039418 0.0005095515 0.007258772 0.003794289 0.0006236163 0.00021948114 0.00036860676 0.00017109711 0.00029591387 0.00011757083 0.00015006059 0.00024706236 0.04089969 0.0040841256 0.004572407 0.002999108 0.007910437 0.00561465 0.044958103 0.02403517 0.0007168782 0.00031671664 0.00030643214 0.00023186932 0.00026459282 0.00032489753 0.00033448084 0.0002954464 0.09224916 0.011888211 0.013523918 0.008336543 0.0053173336 0.0038735266 0.021517098 0.017118827 0.0022777887 0.0011829543 0.0011558405 0.001053229 0.0010216741 0.0015221098 0.0010826801 0.0016565099 0.16188616 0.029139334 0.025474537 0.012781095 0.0070402254 0.008256137 0.02035892 0.023495935 0.008143007 0.003736789 0.003241262 0.0030633863 0.002996537 0.003555641 0.0025269547 0.0040743086 0.066342905 0.011830711 0.0075904476 0.004473535 0.0034432125 0.0036475006 0.0073655904 0.007377044 0.006472473 0.0035131006 0.0029416082 0.002230106 0.002946283 0.0023378597 0.0029142606 0.0019596696 0.03990466 0.006170482 0.005171247 0.004407153 0.0034717289 0.0033529892 0.0050667655 0.004626401 0.003623893 0.00347617 0.0027190885 0.0017175159 0.0022322095 0.0018140501 0.0022317423 0.0014452096 0.011228599 0.0026735093 0.0026912736 0.0019276474 0.0015723638 0.0015919979 0.0012825271 0.0013257689 0.001436795 0.0007930772 0.000786065 0.00081247755 0.0006703641 0.00060141104 0.0007287989 0.00051399256 0.005194387 0.0013659721 0.0011560742 0.0012734113 0.0009001298 0.0010611761 0.00080569915 0.00053643156 0.0005876204 0.0006070208 0.00050557795 0.00036954173 0.0003884746 0.00048360648 0.0006612483 0.00037935877 0.0025068533 0.00094594265 0.00076479476 0.0012820597 0.000646289 0.000748433 0.0012848645 0.00077250815 0.00055723434 0.00035060884 0.0003688405 0.00032910483 0.00034429788 0.0003718791 0.00033564953 0.0003580885 0.0012832284 0.00047939917 0.0005404051 0.00072599406 0.00040951112 0.00042891147 0.00087044487 0.00059907365 0.00039782416 0.00028469437 0.00030947075 0.00025758063 0.0002615542 0.00025991802 0.00027557855 0.00027557855 17949.0 17.3574 311548.0 0.005119596 0.00028567028 0.00043332006 0.0004397396 0.0004718374 0.0003691245 0.00020542581 0.00041085162 0.00047825696 0.00047825696 0.00050714496 0.0015888403 0.00062590674 0.0018745105 0.010871519 0.0016466163 0.018616714 0.010669303 0.012463569 0.00520947 0.0046317102 0.0051163863 0.0033060715 0.002721892 0.002837444 0.004371718 0.0011202126 0.0004975156 0.010842631 0.007430637 0.010836211 0.00033381695 0.00030492892 0.012826274 0.006153145 0.014219318 0.009667852 0.008197773 0.008069383 0.004317152 0.0025132564 0.008743436 0.0018680909 0.0009372553 0.0040025935 0.005530448 0.004984786 0.0032129881 0.0058867335 0.00046220806 0.0060825297 0.011988522 0.009231322 0.002619179 0.0025935008 0.0025389346 0.0006933121 0.00023752359 0.0004589983 0.00016690847 0.0004557885 9.308357e-05 0.00015085957 0.032344937 0.0021088242 0.048165932 0.01157767 0.02779668 0.02330941 0.101470724 0.008319745 0.017435515 0.008563688 0.048002236 0.00085380103 0.0068400376 0.034495488 0.021040097 0.049096767 0.046644498 0.018456224 0.0022532644 0.052438147 0.04374607 0.07447649 0.020221602 0.004561095 0.0049879956 0.0052415677 0.016170863 0.001665875 0.00043332006 0.00069010234 0.00042690051 8.345424e-05 6.098579e-05 5.344409 16.0 77.0 0.0 19.0 2140672.0 2162688.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542043400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 2138112.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2138112.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.996363 0.0 4.2022333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2137884.0 0.0 1532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 2145964.0 1532.0 2146304.0 0.0 0.0 0.0 0.0 12.0 2154496.0 28.0 2145652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0