Input: 0.17559262 0.012450322 0.013369149 0.018242996 0.015835473 0.016036604 0.015108984 0.020248258 0.02255137 0.00906627 0.013903299 0.0061245956 0.01296414 0.0019953707 0.002315751 0.003591777 0.0055558244 0.0018266627 0.00179424 0.0012848187 0.0028839728 0.0030933467 0.0016683958 0.00087541324 0.0018882109 0.000740227 0.00074956915 0.0009028901 0.0016249825 0.0016249825 0.001055112 0.0007753974 0.004654033 0.0007742983 0.001024338 0.0008737646 0.0030636715 0.0016337751 0.0015881634 0.0005863565 0.0013892308 0.00066713855 0.0007501187 0.0012732784 0.0010963273 0.00071989413 0.0013122956 0.0014348425 0.008461779 0.0011985413 0.0012980076 0.0034741762 0.001251297 0.0012958094 0.0009116827 0.001141939 0.0014260499 0.0019250299 0.0016167393 0.0026586624 0.0013375743 0.0013068002 0.0007572627 0.0009111332 0.0039500757 0.0017975372 0.0012914131 0.0015639837 0.021763884 0.0062976996 0.0032197402 0.0013732943 0.0020964856 0.0013392229 0.0007122006 0.0007797937 0.0016975214 0.0032345778 0.0018321581 0.0014969402 0.006480146 0.0032120468 0.0021558357 0.003685748 0.0021607815 0.0039050134 0.004091856 0.0035478142 0.0019283271 0.0025548 0.0015442003 0.0020036139 0.0022206812 0.0026702029 0.0037967546 0.0027630746 0.0021717723 0.0038852303 0.0022772835 0.003221389 0.0038137904 0.0061042625 0.00578663 0.0029119994 0.0046045748 0.004242979 0.004242979 0.0018332571 0.0059229154 0.0024014788 0.003960517 0.0041473596 0.003157093 0.0016068476 0.0044094888 0.0037676292 0.009364668 0.0073951264 0.0029982766 0.0025146836 0.002498747 0.0020525225 0.001744232 0.001735989 0.0026498698 0.0028872702 0.0023981817 0.0017414844 0.003443402 0.0023542186 0.0021239624 0.0060460116 0.0029098012 0.0060712905 0.0022162849 0.0016227843 0.002292121 0.007090133 0.0019387683 0.017047752 0.0019382188 0.005862466 0.0016398199 0.0014755082 0.0030647707 0.0015205703 0.0014711119 0.001649162 0.001685981 0.0017129084 0.002036586 0.0015084805 0.0018563377 0.0018013839 0.0015051833 0.0014249508 0.001727746 0.0015782717 0.0014656165 0.0012672335 0.0012375584 0.0016535583 0.001494742 0.0011589746 0.0011199574 0.0010847871 0.0008556299 0.0009803749 0.0012886655 0.0009094846 0.0010512653 0.0012809719 0.0012804224 0.00095124944 0.0010248874 0.0011161107 0.0013870327 0.0009809245 0.0010424727 0.00092871836 0.0011452362 0.0013007553 0.0011551279 0.0012144779 0.0016420181 0.00089519663 0.00089134986 0.0009523485 0.0011672176 0.0011260024 0.0011232547 0.0011084172 0.005362387 0.0018233655 0.002271788 0.0021409981 0.0019393179 0.00085727853 0.004091856 0.0026630587 0.0015557407 0.0018997511 0.0010116985 0.0009094846 0.016075071 0.0008666206 0.0010765439 0.0009127818 0.001655207 0.0010726972 0.0010210407 0.001114462 0.0012216219 0.0007968294 0.0011177593 0.0010880843 0.0015744249 0.00087926 0.00081551366 0.0011375427 0.0011595242 0.0009545467 0.0008407924 0.0008116669 0.0017249982 0.0008457382 0.00079627987 0.0007369298 0.0013447183 0.00082375674 0.0008259549 0.0008715665 0.0060438137 0.001589812 0.0007380289 0.0026800944 0.0027427417 0.00076550577 0.00091333134 0.0010314819 0.0021569347 0.001047968 0.00079573033 0.0011804065 0.001618388 0.0006814265 0.0014287975 0.0014375901 0.0027119676 0.0015469481 0.0009320156 0.0011117144 0.0034692304 0.0014694633 0.001771709 0.10037523 0.026384784 2.281945e-05 1.924532e-06 1.6495989e-06 6.048529e-06 4.9487962e-06 8.247994e-06 1.924532e-06 8.797861e-06 1.6495989e-06 5.498663e-07 2.4743981e-06 2.4743981e-06 8.2479943e-07 8.2479943e-07 1.402159e-05 0.005876421 0.00012097058 4.6738633e-06 4.123997e-06 1.8695453e-05 6.048529e-06 2.9417846e-05 1.484639e-05 2.1994651e-06 8.2479943e-07 1.3746657e-06 1.0997326e-06 5.498663e-07 2.7493314e-07 5.498663e-07 0.00011162285 0.0055940645 0.00021582251 5.0587696e-05 3.6566107e-05 9.347727e-05 2.6118649e-05 5.608636e-05 2.4194116e-05 1.677092e-05 6.048529e-06 1.2921857e-05 8.522928e-06 8.797861e-06 7.1482614e-06 1.1822125e-05 2.4743982e-05 0.010453783 0.00076541386 0.00032882002 5.1962365e-05 0.000102275124 0.00015781162 8.275487e-05 5.2787163e-05 8.193008e-05 2.9967712e-05 3.079251e-05 3.409171e-05 5.608636e-05 5.333703e-05 4.7838366e-05 5.7735957e-05 0.011554615 0.00033321895 0.00042504663 0.00037445893 0.00035796294 0.00042614635 0.00032057203 0.00047068554 8.935327e-05 1.9795185e-05 2.6393582e-05 2.2269583e-05 2.804318e-05 2.199465e-05 2.364425e-05 0.00014543963 0.0069849514 0.00020427532 0.00017155828 7.285728e-05 0.006627263 0.00012509458 0.0010367729 0.00025431314 0.00014159057 4.8663165e-05 3.8215705e-05 3.7115973e-05 0.0043447684 4.89381e-05 3.684104e-05 9.7051394e-05 0.021784877 0.0003959037 0.0002911542 0.000291979 0.008732976 0.0018802678 0.008323326 0.0006521414 0.0001792564 3.2167176e-05 3.2991975e-05 4.4539167e-05 0.008056366 4.2614636e-05 6.680875e-05 0.0066250637 0.059520274 0.0010068051 0.001134649 0.0005842329 0.0051775407 0.0016765422 0.006711118 0.006624789 0.0020141602 0.000275483 0.0011261262 0.0015044342 0.005242425 0.0016388764 0.0022354813 0.025711747 0.08681288 0.001961373 0.0019839176 0.0011563688 0.0024708242 0.0008621903 0.0038644602 0.003758061 0.0040459163 0.005875871 0.0063344594 0.0052226298 0.004807206 0.003293699 0.0026555792 0.040570233 0.016104758 0.0010106543 0.0013191291 0.00089958124 0.0014662184 0.000990859 0.0050667427 0.0029404098 0.00060952676 0.0008432199 0.0006328961 0.00039975278 0.0005314458 0.0004539146 0.0004638122 0.002866178 0.013346079 0.00076403917 0.0016006607 0.0012660671 0.0022272333 0.0013257276 0.0049564946 0.0032700547 0.00053474493 0.00095236837 0.00040360185 0.0003013267 0.0006675377 0.0002988523 0.00042862075 0.0020034378 0.009774423 0.0006884326 0.0013424985 0.003186475 0.0018019117 0.0015275285 0.0033233918 0.0021109367 0.000789608 0.0011011072 0.00052182307 0.0005069767 0.0008261741 0.0006334459 0.0005284215 0.0011791883 0.008069563 0.001200633 0.0009625409 0.0014464232 0.0015888386 0.0023820207 0.0019388285 0.001648774 0.0035271172 0.00094549503 0.0005336452 0.00072912266 0.0012053068 0.00083112286 0.00086521456 0.0036568856 0.04378063 0.0095052635 0.0056564743 0.008846799 0.0124695925 0.016524306 0.008753046 0.011775661 0.028417364 0.0049982844 0.003232389 0.00392687 0.009562724 0.0042339703 0.008062139 0.022957193 0.03282207 0.009954779 0.0073404396 0.012429177 0.011137267 0.020594142 0.016624657 0.019023174 0.02543269 0.012002206 0.005424156 0.0052083335 0.0100169135 0.005580593 0.008948524 0.01761854 0.00045941328 0.0001899788 0.00021059878 0.0003103995 0.00017898147 0.00022049638 0.0004255965 0.00031094937 0.00019905159 0.0001451647 0.00013086817 0.000109973254 0.000115196985 0.000115196985 0.00010502446 0.00015148816 9252.0 17.17099 158866.0 0.021955611 0.0024045422 0.0033927965 0.0024863721 0.0038460086 0.005885463 0.0018883839 0.0017121348 0.002637443 0.0024045422 0.00219682 0.0024926667 0.0038648925 0.003222842 0.00691778 0.003367618 0.011594677 0.0055077863 0.005041985 0.0043495777 0.003562751 0.0028766382 0.0031787795 0.0050482797 0.0045447107 0.0037515895 0.0034242696 0.0032731988 0.0042803367 0.0032669043 0.0025430238 0.0034431533 0.0054574297 0.0077801417 0.0034368588 0.006942958 0.22658089 0.0048405575 0.009637052 0.006898896 0.0039278385 0.0063701486 0.0019828032 0.002291239 0.0058980524 0.0046265405 0.0060805962 0.0055770273 0.008976119 0.005256002 0.006389032 0.011103697 0.00691778 0.0046265405 0.0074591166 0.008466255 0.0055518486 0.0043999343 0.0043369886 0.0038334194 0.0059421146 0.0042992206 0.011261063 0.0070814397 0.004015963 0.019595131 0.006980726 0.015352561 0.020665215 0.038006872 0.031063916 0.0147231 0.009209019 0.022893507 0.004519532 0.0048216735 0.043508366 0.01001473 0.020274948 0.02222628 0.01170798 0.0037767678 0.023711808 0.01772563 0.030818425 0.010833029 0.010228747 0.0073835813 0.008088578 0.0072136265 0.0035501618 0.0028829328 0.0058162226 0.0032669043 0.0073772864 0.0031536012 5.4818115 0.0 70.0 5.0 25.0 1819712.0 20480.0 1.0 0.0 44.0 0.0 1.0 1.0 0.0 0.0 1161588600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 8.0 0.0 4.0 0.0 4.0 0.0 2560.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 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 -2560.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9983516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.35275948 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.101866 0.0 4.529418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1642.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -900.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2214.0 0.0 2068.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 8812.0 2068.0 16384.0 0.0 0.0 5752.0 8704.0 0.0 0.0 28.0 8400.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8520.0 0.0 0.0 184.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.18929385 0.022808501 0.009206273 0.0073135216 0.010290767 0.0071378876 0.009426241 0.009451819 0.011232028 0.002985772 0.00428512 0.0025884649 0.0026208633 0.00301476 0.001536368 0.01435933 0.007860884 0.0021502334 0.0013948381 0.0012379615 0.0031017242 0.0037923227 0.0020411017 0.001186806 0.0041964506 0.0018893406 0.0010981365 0.0011561128 0.0012976427 0.0013726708 0.0008645268 0.0012822961 0.010355565 0.0010384553 0.0010810847 0.001290822 0.014891346 0.0013982485 0.0007434589 0.00077926775 0.0042356695 0.0008048454 0.00077585736 0.0020615638 0.0011595231 0.0019507271 0.00097536354 0.00084065425 0.0069776005 0.00097536354 0.0029056284 0.006056803 0.0025219626 0.0006036341 0.00062239106 0.0005644149 0.0040532155 0.0026208633 0.001026519 0.005473631 0.0021348866 0.0008713475 0.00090374594 0.001855237 0.00866232 0.015564892 0.0031153657 0.0038571195 0.010164584 0.006694541 0.00091056665 0.0014153003 0.057321366 0.0074345893 0.00097365835 0.0018109023 0.009990656 0.0037701551 0.00091056665 0.000866232 0.0039048644 0.0013163998 0.0010879055 0.002354855 0.0028971026 0.001959253 0.0012362562 0.0023855483 0.0018398904 0.0006394429 0.00063262216 0.0015619458 0.0038366574 0.001064033 0.0010708537 0.0022303767 0.0024281777 0.0026259788 0.00082360243 0.0030778518 0.0026242735 0.0040003546 0.006162524 0.000989005 0.0021638747 0.0022730064 0.00046380924 0.0008730527 0.0027146481 0.0012550133 0.0025219626 0.0023429187 0.0035399557 0.0005269009 0.0033592067 0.0035723543 0.014047281 0.008108135 0.0015107904 0.0017767986 0.0022065043 0.0014067744 0.0006820724 0.0011083677 0.0019268546 0.00091397704 0.00082019204 0.0012754754 0.0030198756 0.002042807 0.0014562246 0.018968433 0.0044130087 0.007572709 0.00068036723 0.00069571385 0.0022798271 0.015559777 0.0021877473 0.034497518 0.00076903665 0.012678021 0.0005763512 0.0004945025 0.0013129894 0.0005695305 0.0005030284 0.00042629524 0.0009617221 0.0007997299 0.00033762585 0.00048768177 0.000791204 0.0004024227 0.0003597932 0.00036490874 0.0007110605 0.0004416419 0.00034956212 0.0004945025 0.0012192044 0.0005797616 0.0005831719 0.0005951082 0.0006581999 0.0006002237 0.00056100456 0.00055929937 0.001686424 0.0005763512 0.00055929937 0.00054736313 0.0006547895 0.0005030284 0.0005678253 0.0006599051 0.0020274601 0.00055588904 0.0006513792 0.00048938696 0.00060874963 0.00054224755 0.0011509972 0.0024384088 0.0028698198 0.0020138188 0.0020121136 0.0009361444 0.0006650206 0.00067695684 0.0009549014 0.0008150765 0.010556776 0.005898221 0.0024520503 0.007903514 0.004249311 0.00108279 0.0022593648 0.004218618 0.0036610237 0.0033677325 0.0017000654 0.001902982 0.014076269 0.0008969252 0.0013487982 0.0018023764 0.0027709191 0.0017938504 0.0025407197 0.0011697542 0.0006104548 0.00062750664 0.0008747579 0.0009941205 0.0021246555 0.0019234442 0.00093102886 0.0013181049 0.00062750664 0.0005030284 0.0006394429 0.0008082558 0.002844242 0.0009242081 0.0007315227 0.0006479688 0.0007451641 0.00042288488 0.00069059833 0.00052519573 0.01309238 0.0043652635 0.0010520967 0.006575178 0.003824721 0.0006292118 0.000518375 0.00067695684 0.0026873653 0.00084747496 0.001243077 0.0009600169 0.00075710035 0.00053542684 0.0020837311 0.0014971489 0.0042322595 0.0019268546 0.0012379615 0.0013590293 0.0011799852 0.0014681609 0.0025543612 0.026177939 0.017499452 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.3682136e-05 0.0017042812 8.551335e-07 1.2827003e-05 7.6962015e-06 9.406469e-06 8.551335e-07 8.551335e-07 9.406469e-06 8.551335e-07 0.0 0.0 8.551335e-07 8.551335e-07 8.551335e-07 8.551335e-07 8.551335e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059055523 9.064416e-05 0.0001274149 2.0523205e-05 0.00013853163 0.000107746826 4.1901545e-05 0.00014879323 0.00010603656 4.1901545e-05 3.5915607e-05 1.7102671e-05 1.9668072e-05 2.7364273e-05 1.8812938e-05 0.00015734458 0.0149255 0.0007978396 0.0006045794 0.00022318985 0.00078928826 0.00019497045 0.000512225 0.00036599714 0.000121428966 7.952742e-05 8.8933884e-05 7.012095e-05 7.952742e-05 8.2947954e-05 0.00010860196 0.00021976932 0.021310782 0.0005806357 0.0011168044 0.0003719831 0.0015170069 0.00051136984 0.002068568 0.001210014 0.00023174119 0.00017444724 0.000102616024 0.00010603656 0.00011202249 0.00010689169 8.722362e-05 0.00016418564 0.027771316 0.0016803374 0.00096544577 0.0015777213 0.00156917 0.0012715836 0.0045193806 0.0027911558 0.00017188184 0.00015734458 0.00010603656 0.0001325457 0.00021121798 0.0003189648 0.00025055412 0.00028818 0.024541477 0.0033247592 0.0010030717 0.0024362754 0.0011150942 0.0010124781 0.0035889954 0.0027133387 0.0003087032 0.00023003093 9.663009e-05 0.00028133893 0.0003950717 0.00020095638 0.00041645003 0.0003668523 0.014809202 0.0010526694 0.001242509 0.0008286244 0.0019505596 0.0013340083 0.0062553016 0.0034675666 0.00033863288 0.00047545426 0.00014879323 0.00023174119 0.00020010125 0.00018385371 0.00022917578 0.0005267623 0.011038919 0.00056182273 0.0007431111 0.0007054852 0.00041730516 0.00041217436 0.0007260084 0.00058234594 0.00043526298 0.00041645003 0.0010013614 0.00094748795 0.0007191673 0.0008585541 0.0008115217 0.0006387847 0.013648787 0.0010022165 0.0011450239 0.0009124275 0.0019266158 0.0010578001 0.00089361455 0.0009611701 0.0017111222 0.0009842587 0.002215651 0.000928675 0.0012647425 0.0009919549 0.0009851138 0.0008944697 0.015501006 0.0018513642 0.002447392 0.0025765174 0.010325737 0.0015862727 0.0016050857 0.0020446242 0.008759133 0.0005840562 0.0016427116 0.0012322475 0.0054506212 0.0013237468 0.0020181153 0.0023473415 0.11399614 0.01940982 0.027304415 0.022135986 0.09491213 0.017007751 0.011629816 0.02435677 0.07877661 0.0044860304 0.0037711388 0.012176246 0.04847923 0.012434497 0.026043091 0.034744076 0.024259284 0.005046143 0.0071933833 0.0071993694 0.018643621 0.0051145535 0.005000821 0.0077321175 0.016772589 0.0013374288 0.0014999042 0.0029938226 0.010203454 0.0033786327 0.0069761793 0.009748522 0.0005943178 0.00046519266 0.0004361181 0.0010569451 0.00040618842 0.00032495076 0.00038652035 0.00034547396 0.00035573554 0.00029160053 0.00033777775 0.00028989027 0.00034034316 0.00032324047 0.0003565907 0.00069436844 2401.0 10.052478 24136.0 0.039360292 0.0016987073 0.002900232 0.0011600928 0.03231687 0.0011186609 0.0015329798 0.0027759364 0.0056347363 0.00219589 0.0005800464 0.0038117336 0.0028588 0.0037288698 0.008162081 0.0045989393 0.0144182965 0.005800464 0.0030245276 0.0104822675 0.0035631421 0.002154458 0.0024030495 0.0012843885 0.01031654 0.009280742 0.0038945973 0.011600928 0.0077063306 0.0014086841 0.0029830958 0.0022373218 0.009322174 0.06243785 0.0036045741 0.009322174 0.017277097 0.011766655 0.0045160754 0.004723235 0.03140537 0.0070019886 0.00070434203 0.0023616175 0.012678158 0.004018893 0.0038117336 0.0034388464 0.007333444 0.0011186609 0.0035217104 0.011269473 0.012802453 0.0114352 0.017774278 0.023574743 0.0035631421 0.00066291017 0.0015744116 0.0019472986 0.01164236 0.0079549225 0.01251243 0.018975804 0.004764667 0.027717931 0.005551873 0.022663241 0.016531322 0.05398575 0.017608551 0.0074991714 0.0070019886 0.025646338 0.0012429566 0.0024859132 0.020177329 0.010813722 0.024983427 0.02792509 0.011600928 0.0008700696 0.03492708 0.024527676 0.055891614 0.017069938 0.0048475307 0.005551873 0.008617832 0.007167716 0.0012015247 0.0011600928 0.0041017565 0.001077229 0.00074577396 0.0009943653 5.8349433 1.0 28.0 0.0 7.0 586448.0 602112.0 1.0 0.0 263.0 1.0 1.0 1.0 1.0 0.0 1543373800.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 5.0 0.0 421376.0 1024.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 105984.0 0.0 0.0 0.0 0.0 23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -421888.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -5.4280643 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.942432 0.0 0.0 0.0 0.0 5.849363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.97641176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.277803 0.0 4.7356925 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -3160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 105710.0 0.0 0.0 0.0 0.0 23268.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -421808.0 0.0 1792.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -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 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 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 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 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 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 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 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 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 524368.0 1792.0 593920.0 23268.0 561152.0 10960.0 575488.0 3160.0 598016.0 112.0 490272.0 0.0 0.0 0.0 0.0 40.0 490536.0 148.0 490384.0 0.0 0.0 2192.0 425984.0 0.0 0.0 0.0 0.0


Input: 0.3186497 0.02660473 0.026815878 0.007574958 0.019795185 0.007627745 0.014410895 0.0054106843 0.007311022 0.00427576 0.031065244 0.003589527 0.0042493665 0.0032991976 0.0033255913 0.0033519848 0.0031672297 0.009264147 0.008973817 0.0057010134 0.0017155828 0.0025073902 0.0032464105 0.004143792 0.0026921453 0.0024282094 0.0017683699 0.0027449324 0.0011877111 0.0013988598 0.0013196791 0.0011877111 0.0095544765 0.0019003379 0.0049883868 0.0010293496 0.00095016893 0.0017947635 0.0008445946 0.0008445946 0.0164432 0.0012404983 0.006756757 0.0006862331 0.0007390203 0.0013724662 0.0019267314 0.0017683699 0.0033255913 0.0010821369 0.0012932855 0.000818201 0.0011613176 0.00076541386 0.00050147803 0.0005806588 0.0014516469 0.0028505067 0.0020323058 0.0012141047 0.0009765625 0.0007918074 0.0012404983 0.0023754223 0.0014252533 0.002771326 0.0014780406 0.0036951012 0.0021642738 0.0030088683 0.0022962415 0.0019267314 0.0012404983 0.0029560812 0.0003959037 0.00036951015 0.0021114864 0.0030616554 0.0010029561 0.002085093 0.0022434543 0.0024282094 0.0034839527 0.004803632 0.0043285475 0.001953125 0.001821157 0.0024282094 0.0010821369 0.0017419764 0.0029560812 0.0012668918 0.00089738175 0.0005806588 0.0010293496 0.0064664274 0.0007918074 0.019821579 0.0017683699 0.0073638093 0.008234797 0.032332137 0.0046188766 0.005331503 0.0034311656 0.012616131 0.0009237753 0.001821157 0.011164485 0.00855152 0.011322847 0.020586994 0.00892103 0.0008445946 0.018237965 0.012721706 0.023569468 0.005859375 0.0015572213 0.0017683699 0.0028769004 0.0032200168 0.0007390203 0.009739231 0.00065983954 0.0044869087 0.00060705235 0.00015836148 0.0073374156 0.0036159207 0.00095016893 0.00034311655 0.00065983954 0.00031672296 0.0015572213 0.00031672296 0.00023754223 0.00065983954 0.00015836148 0.00010557433 0.0007126267 0.00065983954 0.00023754223 0.0008445946 0.00044869087 0.00065983954 0.00010557433 0.00031672296 0.00034311655 0.0002903294 0.00031672296 0.0011085304 0.0003959037 0.0003959037 0.0005278716 0.00023754223 0.00034311655 0.0003959037 0.0002903294 0.00036951015 0.0002903294 0.0005806588 0.0008709882 0.0006334459 0.00031672296 0.00018475507 0.0001319679 0.00015836148 0.0002903294 0.00060705235 0.00060705235 0.0009765625 0.00018475507 0.00050147803 0.00021114865 0.0002903294 0.00018475507 0.0010029561 0.0005542652 0.00031672296 0.0003959037 0.00018475507 0.0003959037 0.0002639358 0.00034311655 0.0002903294 0.00023754223 0.00047508447 0.00015836148 0.0003959037 0.00023754223 0.0004222973 0.0008709882 0.0008709882 0.00018475507 0.0006334459 0.0002903294 0.0011085304 0.00015836148 0.00018475507 0.00034311655 0.0008709882 0.00018475507 0.00034311655 0.00065983954 0.00065983954 0.00021114865 0.00021114865 0.0006862331 0.0004222973 0.00010557433 0.00034311655 0.00015836148 0.00047508447 0.0002639358 0.00034311655 0.00018475507 0.000818201 0.0006862331 0.0002903294 0.0002903294 0.00036951015 0.0002639358 0.00023754223 0.00034311655 0.00031672296 0.00015836148 0.00036951015 0.00031672296 0.0023490288 0.00015836148 0.00036951015 0.00021114865 0.0004222973 0.0001319679 0.0001319679 0.00034311655 0.0005542652 0.00018475507 0.00034311655 0.001134924 0.00018475507 0.00018475507 0.00018475507 0.0002903294 0.00021114865 0.00015836148 0.00047508447 0.0002639358 0.00089738175 0.00021114865 0.00023754223 0.00021114865 0.0011613176 0.00034311655 0.0012141047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019883897 8.138021e-05 0.00082736544 0.0003390842 0.0008409288 0.00040690103 0.003689236 0.0014784071 4.0690105e-05 0.0 2.7126736e-05 4.0690105e-05 1.3563368e-05 1.3563368e-05 5.4253473e-05 4.0690105e-05 0.04458279 0.0013970269 0.004787869 0.0020209418 0.010877822 0.010186089 0.07845052 0.041164823 0.00024414062 0.000108506945 0.000108506945 8.138021e-05 8.138021e-05 0.000108506945 6.781684e-05 0.00017632378 0.17869738 0.017252604 0.023098417 0.011230469 0.009236653 0.013631185 0.037475586 0.030381944 0.0036621094 0.0013292101 0.0012885199 0.0009765625 0.0015190972 0.0010986328 0.00066460506 0.0017903646 0.16227214 0.021335177 0.016099717 0.0069444445 0.005384657 0.011162652 0.012980144 0.013454861 0.0064697266 0.004055447 0.003092448 0.0029025609 0.0035807292 0.0025906032 0.0030517578 0.002400716 0.038140193 0.0068359375 0.0035671657 0.0009765625 0.003323025 0.0032958984 0.009792752 0.0060628257 0.0032145183 0.0007188585 0.0012749566 0.0010986328 0.0013970269 0.0011121961 0.0011664496 0.0013563368 0.034749348 0.007663303 0.0049913195 0.0013020834 0.0027533637 0.0016818576 0.010837131 0.0052625868 0.005493164 0.00047471788 0.0012207031 0.0008544922 0.0013427734 0.0011664496 0.001844618 0.0016954211 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 525.0 14.102858 7404.0 0.0068881684 0.00027012426 0.00013506213 0.00040518638 0.00013506213 0.0 0.00013506213 0.00013506213 0.00081037276 0.0009454349 0.00013506213 0.0 0.0009454349 0.0005402485 0.0036466774 0.003106429 0.001080497 0.00027012426 0.0012155592 0.001080497 0.0005402485 0.00013506213 0.00013506213 0.00040518638 0.00013506213 0.0 0.0 0.0 0.00040518638 0.00040518638 0.00040518638 0.00013506213 0.00013506213 0.0066180443 0.0045921123 0.011615343 0.0059427335 0.00823879 0.0045921123 0.007428417 0.0014856834 0.010129659 0.00013506213 0.0006753107 0.003916802 0.009724474 0.001080497 0.004862237 0.0037817396 0.0006753107 0.008508914 0.017423015 0.009994597 0.0035116153 0.0024311184 0.0029713667 0.00013506213 0.00040518638 0.00013506213 0.0 0.0 0.0 0.0 0.022555375 0.0005402485 0.077390596 0.006482982 0.03038898 0.029713668 0.13209076 0.014721772 0.023365749 0.011480281 0.047676932 0.0014856834 0.003106429 0.04186926 0.032549974 0.04443544 0.042679634 0.024851432 0.00081037276 0.0645597 0.040248513 0.095623985 0.023230687 0.0037817396 0.0060777958 0.010534846 0.009859536 0.0020259318 0.0 0.0 0.00013506213 0.0 0.0 4.8521256 0.0 0.0 0.0 1.0 37888.0 65536.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1417983900.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 35840.0 512.0 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 -35840.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -5.573083 0.0 3.067303 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 -35648.0 0.0 828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 8216.0 828.0 49152.0 0.0 0.0 0.0 0.0 12.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8208.0 0.0 0.0 72.0 8292.0


Input: 0.40493473 0.008119066 0.003953224 0.0058544306 0.008151206 0.001849288 0.002798655 0.0034637065 0.01270273 0.0010433149 0.0011026503 0.001347409 0.006091772 0.0017627571 0.0012856013 0.0076814676 0.006052215 0.002232496 0.0018196203 0.00096420094 0.0038073575 0.0038518591 0.00055132515 0.00043018197 0.0027269581 0.0005414359 0.0004178204 0.00091228244 0.002358584 0.0006526899 0.0007021361 0.0004425435 0.0023017207 0.0008826147 0.00030409414 0.0006106606 0.0017924248 0.0007614715 0.00045490506 0.00055379746 0.0011941257 0.00043265428 0.00032881726 0.00069719146 0.0011100672 0.00043759888 0.00043265428 0.00027937104 0.0023017207 0.0013276305 0.0013622429 0.0061016614 0.0019481804 0.0021484375 0.0016935325 0.0014339399 0.0023338608 0.00393839 0.0012658228 0.005100376 0.002024822 0.0016564478 0.001322686 0.0011496242 0.0029766613 0.0014141614 0.0007342761 0.0019234573 0.001490803 0.010032634 0.0032857002 0.0010630933 0.0021459651 0.00079113926 0.00030409414 0.0006848299 0.0010952334 0.0040446995 0.0011347904 0.00052660203 0.008245154 0.0032313094 0.0014463015 0.0038221914 0.0010729826 0.004336432 0.0050360956 0.0042770966 0.0010853441 0.0020025712 0.00030162183 0.0020371836 0.0014116891 0.0038790547 0.0030384692 0.0021113527 0.00087272545 0.001386966 0.00037331882 0.0014314676 0.0011990704 0.0035032635 0.0033425633 0.0005859375 0.0031299447 0.0016515031 0.0038296084 0.00043018197 0.002024822 0.0006526899 0.0015971124 0.0014166337 0.0020272944 0.00033128957 0.0021904667 0.0016144185 0.007691357 0.010534514 0.015264043 0.0006304391 0.0014512461 0.000669996 0.00044748813 0.0005587421 0.0013325751 0.0028629352 0.001100178 0.0004128758 0.0027961826 0.0009221717 0.0003436511 0.007765526 0.0038419699 0.010398536 0.00071944227 0.00035601266 0.0013276305 0.010074664 0.0005809929 0.032177117 0.0009592563 0.007926227 0.00040298654 0.0002200356 0.022792228 0.00026206486 0.00023734177 0.00019284019 0.00081833464 0.00042523735 0.0002991495 0.00019036788 0.0011224288 0.00035601266 0.00026700948 0.00026206486 0.0006131329 0.00030162183 0.00030656645 0.00030162183 0.0007392207 0.00089744857 0.0002200356 0.00047962816 0.0007540546 0.0013375197 0.0002892603 0.0005859375 0.0069471914 0.0009889241 0.0011249011 0.0017924248 0.004717168 0.00022250791 0.00067741296 0.0002694818 0.00076888845 0.00027442642 0.00023486947 0.00030903876 0.00082080695 0.0011570412 0.0005117682 0.0007589992 0.0016638647 0.0004598497 0.00035601266 0.0005587421 0.0006081883 0.00069471914 0.0006848299 0.00079113926 0.008319324 0.0015946401 0.0033771757 0.0019036788 0.00083811313 0.00024970333 0.001809731 0.0034142602 0.0014611353 0.002257219 0.0005043513 0.0005636867 0.0006823576 0.00020520174 0.0011199565 0.0007070807 0.0010507317 0.0005142405 0.0008504747 0.00038568038 0.0009839794 0.00025464795 0.0008999209 0.00048210047 0.0016218354 0.0004425435 0.00038568038 0.0013844937 0.0010457872 0.00026206486 0.0004425435 0.00038320807 0.0015550831 0.00064527296 0.00038073576 0.00038073576 0.0013968552 0.00032634495 0.00047715585 0.00035848498 0.010324367 0.0048407833 0.0003659019 0.0031126384 0.0049174246 0.00037579113 0.00035848498 0.0003634296 0.0026280656 0.0011694027 0.0004895174 0.0015204707 0.0016193631 0.0003659019 0.002128659 0.0011570412 0.0037529669 0.00066010683 0.0005117682 0.0007837223 0.005206685 0.0027492088 0.005293216 0.049310226 0.3146539 1.2392925e-06 2.478585e-06 0.0 2.478585e-06 0.0 4.5853823e-05 1.487151e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0073056296 1.1153633e-05 1.487151e-05 1.2392925e-05 2.1067972e-05 1.2392925e-05 4.089665e-05 6.3203915e-05 1.3632218e-05 8.675048e-06 5.081099e-05 8.675048e-06 1.8589388e-05 6.1964624e-06 4.95717e-06 2.1067972e-05 0.0023484593 4.95717e-06 8.675048e-06 2.478585e-06 1.487151e-05 3.7178775e-06 8.427189e-05 4.337524e-05 1.2392925e-06 3.7178775e-06 1.7350096e-05 1.2392925e-06 1.2392925e-06 0.0 2.478585e-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 0.0021452154 1.7350096e-05 1.982868e-05 3.2221604e-05 3.5939483e-05 2.478585e-05 8.3032595e-05 6.56825e-05 2.1067972e-05 4.95717e-06 2.7264436e-05 7.435755e-06 1.7350096e-05 4.95717e-06 1.1153633e-05 1.982868e-05 0.00194445 0.00012268996 7.435755e-06 7.435755e-06 4.95717e-06 2.478585e-06 0.00010657916 0.00014004005 7.435755e-06 2.478585e-06 0.00014251863 6.1964624e-06 1.487151e-05 6.1964624e-06 0.0 2.2307266e-05 0.0018638959 0.00012268996 7.435755e-06 2.478585e-06 4.95717e-06 2.6025144e-05 0.000110297035 0.00016730449 2.478585e-06 9.91434e-06 0.00016978307 3.7178775e-06 8.675048e-06 3.7178775e-06 6.1964624e-06 2.8503728e-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 0.010044466 0.000618407 0.00035319835 0.0002490978 0.0009431016 0.0006283213 0.0018440672 0.0013446324 0.00015367227 0.00021067973 0.0004325131 8.551119e-05 0.00011773279 9.6664815e-05 0.0004312738 0.00021315832 0.011804261 0.0015218512 0.0006109712 0.0007150718 0.001656934 0.0019035533 0.004605211 0.002809476 0.0001982868 0.0002156369 0.00035071978 0.00011277562 0.00018589388 0.00013632218 0.00023546557 0.0008563511 0.0013124108 9.91434e-05 5.328958e-05 4.461453e-05 5.452887e-05 7.187897e-05 4.089665e-05 7.435755e-05 8.17933e-05 7.931472e-05 6.3203915e-05 2.478585e-05 4.089665e-05 3.34609e-05 0.00029990877 0.0001635866 0.00535994 0.0010050662 0.0009282301 0.012796935 0.0011401491 0.0011215598 0.001651977 0.0013904863 0.000919555 0.00095053733 0.0008885727 0.0008650262 0.0007745578 0.0008253688 0.0012876249 0.0010893381 0.0042842343 0.0006469107 0.00036187342 0.0012888642 0.00053785293 0.00075101125 0.00030610524 0.0006754144 0.0008947692 0.0006159284 0.00052050286 0.00017845813 0.0004275559 0.000182176 0.00032221604 0.00069648237 0.022123849 0.0034080544 0.0015342442 0.0029978487 0.004367267 0.006022962 0.003165153 0.005706942 0.011400252 0.0038294138 0.0025318747 0.001406597 0.003596427 0.0012380532 0.0037513385 0.011752211 0.08670958 0.020893233 0.008631673 0.018607978 0.024902344 0.03685656 0.01532757 0.03669917 0.06729482 0.022836443 0.016871728 0.007950062 0.023848945 0.00884607 0.023843989 0.064651415 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1011.0 11.439169 11565.0 0.010722006 0.002075227 0.0011240813 0.0012970169 0.0055339388 0.002075227 0.0017293558 0.0023346303 0.0035451795 0.001210549 0.0019022914 0.0015564202 0.0047557284 0.0017293558 0.003718115 0.0009511457 0.016601816 0.012451362 0.013661911 0.014613057 0.01720709 0.014958927 0.015477735 0.015304799 0.021876352 0.021789884 0.018071769 0.016169477 0.016861219 0.012710765 0.016342413 0.0110678775 0.005706874 0.009424989 0.004842196 0.013056637 0.008992651 0.006917423 0.007522698 0.0051015997 0.0068309554 0.009252054 0.0015564202 0.0025940337 0.007522698 0.004842196 0.0055339388 0.0047557284 0.009079118 0.0060527455 0.011154345 0.0281885 0.008646779 0.0031128405 0.006917423 0.014267186 0.0034587116 0.0029399048 0.0013834847 0.0023346303 0.003718115 0.0027669694 0.0038045829 0.005361003 0.002853437 0.023951579 0.0038045829 0.02343277 0.01755296 0.06666667 0.00743623 0.010030264 0.009597925 0.032425422 0.005274535 0.0051880674 0.026805015 0.009079118 0.029831387 0.025335062 0.016947687 0.0029399048 0.03718115 0.018677043 0.04816256 0.015477735 0.00821444 0.003718115 0.008560311 0.009079118 0.0029399048 0.0015564202 0.0038910506 0.0015564202 0.0018158236 0.0009511457 6.0060034 1.0 0.0 0.0 1.0 404480.0 413696.0 1.0 4.0 313.0 1.0 1.0 0.0 0.0 0.0 1541901000.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 256000.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -134656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -256000.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.740288 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.10491634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.546404 0.0 3.4502919 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -134332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -255954.0 0.0 1024.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -2.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 2.0 -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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -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 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 2.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 3.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 2.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 144.0 106532.0 180.0 252276.0 1024.0 397312.0 0.0 0.0 0.0 0.0 11476.0 401408.0 56.0 259956.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 167320.0 0.0 0.0 1284.0 4096.0 96.0 251988.0 0.0 0.0


Input: 0.20640051 0.027363325 0.027437273 0.010476841 0.025573323 0.0071687084 0.014030745 0.005546179 0.005470055 0.0036409034 0.019085381 0.0024772934 0.0018182767 0.0054983296 0.0023750695 0.0011244606 0.002810064 0.006466192 0.009204482 0.0034538559 0.0012266843 0.0048915124 0.0022576211 0.002649116 0.0014246068 0.0008199645 0.00088738865 0.0016834284 0.001324558 0.0010070121 0.002268496 0.0012288593 0.044051886 0.0012245093 0.009441555 0.00093958795 0.0008743388 0.0030014615 0.00073949056 0.0007329656 0.0088456115 0.0012136345 0.0050524604 0.0028622635 0.0030949854 0.0023076455 0.0059746485 0.004945887 0.0050698603 0.0025338426 0.0022054217 0.0010505116 0.0008917386 0.00078516494 0.0008743388 0.0005285182 0.0008482392 0.0009548128 0.0017465026 0.00049371866 0.0050959596 0.005885475 0.004839313 0.0019205004 0.0009743875 0.004034573 0.0024055191 0.0071665333 0.0028513884 0.0035386798 0.0022358713 0.00091783825 0.0011657851 0.0037300773 0.00045021923 0.0005959424 0.0028513884 0.003036261 0.0024751183 0.0028383387 0.004521767 0.0007264407 0.0035299798 0.0055983784 0.004056323 0.0015333553 0.0019879246 0.0008438892 0.0006568416 0.0008351893 0.0004219446 0.00037627018 0.00081561453 0.00059159246 0.0007220908 0.004674015 0.0007286157 0.025255777 0.004776239 0.012738812 0.010787862 0.03345977 0.0027600396 0.0070055854 0.002170622 0.02278936 0.0005850675 0.0019205004 0.014326542 0.008282294 0.019909695 0.029858017 0.009800425 0.0014681062 0.022141216 0.015400978 0.024196565 0.008106121 0.0036909278 0.0009635127 0.003049311 0.0033951316 0.0018161017 0.008745563 0.0030514859 0.006244345 0.00046761901 0.0003610454 0.0024011692 0.0030623607 0.0011027108 0.0009591627 0.0008395393 0.0005089435 0.0024816433 0.00029144628 0.0012353841 0.00037844517 0.00031102102 0.00031754593 0.003195034 0.00064161676 0.0008917386 0.0006742414 0.0005546179 0.0010483366 0.00046979397 0.00033059577 0.00039584492 0.0005959424 0.00049589365 0.0003044961 0.0006785913 0.00044804427 0.0008243144 0.0002653466 0.0005372181 0.00038932002 0.00063726684 0.0007503654 0.00090261345 0.0005328682 0.0010113621 0.0007220908 0.00071556587 0.0005328682 0.00029579623 0.0003436456 0.0007351406 0.0007264407 0.00053504313 0.00030232113 0.00051981834 0.0010222369 0.0002892713 0.00029362124 0.0008438892 0.00044804427 0.00033059577 0.00035452045 0.00047196896 0.0003675703 0.0002740465 0.00033277075 0.0004241196 0.0003675703 0.00030014614 0.00037409522 0.0005067685 0.0002892713 0.00033929566 0.00028709634 0.0006764163 0.00044151934 0.0005154684 0.00077864004 0.0004284695 0.00066771643 0.0006851162 0.00031754593 0.00040236986 0.00031754593 0.00025229677 0.00031319598 0.0005654928 0.00030884604 0.0005720177 0.00024577187 0.00041759465 0.00039366996 0.00030667108 0.00025882167 0.0004219446 0.00028709634 0.0003675703 0.0006002923 0.00038714503 0.0003610454 0.0002414219 0.00073949056 0.00042629454 0.000700341 0.0015137807 0.00051981834 0.000545918 0.0013441328 0.00031319598 0.0004610941 0.00028492135 0.00022837208 0.0005328682 0.00018922258 0.00064379175 0.00045891912 0.0006089922 0.0010722612 0.00037409522 0.00045674416 0.00025229677 0.0003371207 0.0004241196 0.00030667108 0.0003610454 0.0009635127 0.000548093 0.0006720664 0.00025447176 0.0002653466 0.0005372181 0.0002414219 0.0003436456 0.0005850675 0.00038497007 0.00030232113 0.0027013153 0.00023272203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018070766 9.809221e-06 3.0517578e-05 3.2697404e-05 4.686628e-05 3.0517578e-05 0.00019509452 6.866455e-05 2.179827e-06 0.0 3.2697405e-06 2.179827e-06 0.0 0.0 2.179827e-06 1.0899136e-06 0.0033656529 5.66755e-05 0.00058637344 0.00013187954 1.3078962e-05 2.179827e-06 6.539481e-06 1.1989048e-05 1.7438617e-05 1.0899135e-05 8.828299e-05 1.6348702e-05 4.03268e-05 7.6293945e-06 5.4495675e-05 5.4495675e-05 0.006312779 0.0003226144 0.00023869106 0.000115530835 0.0034190586 0.0015640259 0.019962857 0.0071749007 7.956369e-05 0.000110081266 0.00036403112 0.00018310547 5.9945243e-05 0.00021471296 2.5068011e-05 3.160749e-05 0.06048911 0.0014375959 0.008637564 0.0017721994 0.0066735405 0.0046572005 0.050701685 0.021024432 0.00035749163 0.000226702 0.0005024501 0.00024414062 0.00026157923 0.00032915387 0.0005896432 0.00057765417 0.12759617 0.0143759595 0.016058786 0.007523673 0.006037031 0.0057591028 0.028927395 0.026019504 0.002696446 0.0019629342 0.0018724714 0.001083374 0.0011738369 0.0023454938 0.0013198853 0.0030157906 0.08318983 0.01019832 0.057313103 0.017110553 0.014901297 0.009277344 0.06756919 0.04255567 0.002696446 0.0017362322 0.001751491 0.0015149798 0.0014441354 0.002004351 0.0012555803 0.002445766 0.025816781 0.0037133354 0.0054277694 0.0023825509 0.0028893608 0.003326416 0.010104588 0.00592368 0.0035443988 0.0013667515 0.0008719308 0.00062343053 0.0007999965 0.00076075963 0.0009416853 0.00070299424 0.036597114 0.007725307 0.00428445 0.004562378 0.0042299544 0.0047901697 0.013689314 0.0070244926 0.0065907068 0.0017972674 0.0022866386 0.001285008 0.0026561192 0.0010844639 0.0029035297 0.001171657 0.01638903 0.0051596505 0.0023476738 0.0019291469 0.00239454 0.0021024432 0.005957467 0.0028294155 0.0027803693 0.0012021746 0.001474653 0.0011345999 0.00078582764 0.0009918213 0.00073896133 0.0008893694 0.0027923584 0.00066811696 0.0004991804 0.00023978097 0.00073133194 0.0004446847 0.0006495885 0.00046648298 0.00056021556 0.00032915387 0.00028446742 0.00023215158 0.0002811977 0.00021689279 0.00028664726 0.00024632044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4569.0 35.217335 160908.0 0.10481766 0.00016779774 0.024939718 0.0002920924 3.1073658e-05 6.2147315e-06 0.0 0.00024237453 0.00018644195 0.00013672409 0.00015536828 0.000994357 0.0022062296 0.0007146941 0.01228031 0.010254307 0.006339026 0.0031881572 0.0020943645 0.00083898875 0.0010440749 0.0009073508 0.00046610486 0.0004909638 0.0006090437 0.0007581972 0.0037101947 6.8362046e-05 0.01226788 0.012653193 0.012298954 0.0003790986 4.350312e-05 0.007004002 0.0052390187 0.013243592 0.005580829 0.0076254755 0.0049344967 0.001479106 0.0020384318 0.008420961 3.1073658e-05 0.0005903995 0.005711338 0.005922639 0.004250876 0.0067429836 0.010036792 0.00018644195 0.005294951 0.013193875 0.008849777 0.0016717628 0.0032316602 0.0007146941 0.00024858926 0.00028587764 3.7288388e-05 9.94357e-05 3.7288388e-05 1.2429463e-05 4.350312e-05 0.01192607 0.00018022722 0.059102096 0.010658264 0.028861213 0.024162875 0.08127626 0.0057237674 0.017898427 0.004356527 0.05414274 0.00027966293 0.0042011584 0.03336068 0.019035723 0.048039872 0.057958584 0.016643051 0.00067119097 0.045150023 0.030831283 0.059046164 0.018345887 0.0074452483 0.0014542472 0.007333383 0.007905139 0.0037909863 0.0009135655 6.2147315e-06 0.0009197802 1.2429463e-05 2.4858926e-05 5.1286073 0.0 154.0 0.0 1.0 459776.0 483328.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1536678400.0 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 8.0 0.0 4.0 0.0 4.0 0.0 457216.0 512.0 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 -457216.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.972726 0.0 2.3413033 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 -456740.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 464848.0 1536.0 466944.0 0.0 0.0 0.0 0.0 12.0 475136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.03314286 0.016723542 0.019256797 0.014009497 0.016836083 0.012512343 0.015432592 0.0116229085 0.014278868 0.010620934 0.013220986 0.010260804 0.012664817 0.009677045 0.011950366 0.00931764 0.011455913 0.008942989 0.011077631 0.008471045 0.01073057 0.008049925 0.010240474 0.008028869 0.009767803 0.0076048444 0.009568861 0.007339103 0.009326354 0.0071851765 0.009046091 0.007061745 0.0087970495 0.006819964 0.008478305 0.006528084 0.008175534 0.006345115 0.008089858 0.006082278 0.007821939 0.006041618 0.007454548 0.0060140276 0.007357981 0.005754095 0.007326034 0.0056037987 0.0071452428 0.00546875 0.0068359375 0.005407034 0.006672572 0.005362018 0.0064670946 0.005190666 0.0064772596 0.0049866405 0.0062565347 0.0049016904 0.006156337 0.0048109316 0.005935612 0.00473179 0.0058477577 0.004636675 0.0058092764 0.004431198 0.0057156133 0.004349878 0.0054607634 0.0043251915 0.005362744 0.0041712653 0.005446968 0.004108097 0.0051173326 0.0039519924 0.0051659793 0.0039737746 0.0050098747 0.003958527 0.0048443307 0.0038830158 0.004858126 0.0037305413 0.0046344968 0.0037044028 0.004635223 0.00369569 0.004423937 0.0035562848 0.0043869074 0.00352579 0.0043774685 0.003388563 0.0042591193 0.0034059887 0.0039548967 0.0032970782 0.00407252 0.0031939766 0.004031134 0.0031010397 0.0038285607 0.0031366171 0.00373635 0.0029884991 0.0037566798 0.0028883016 0.0036855252 0.0029013709 0.0035780668 0.0028665196 0.0034481005 0.0026944412 0.003452457 0.0027518007 0.0033972757 0.0026574116 0.0033181342 0.002573914 0.0032542401 0.0025042112 0.0031053962 0.0025485014 0.0030124593 0.0025376105 0.0030444064 0.0023938487 0.0030502148 0.0023611756 0.002903549 0.0023401196 0.0028970144 0.0023299546 0.003103944 0.0021600546 0.0027989952 0.0021397248 0.002647973 0.0020852694 0.002629095 0.002069296 0.0026574116 0.0020315405 0.0025100198 0.0020046758 0.0024105483 0.0019233562 0.0023408458 0.001900848 0.002291473 0.0018427626 0.0022936512 0.0018514753 0.0022987337 0.0018616404 0.0021143123 0.0017345783 0.0021099558 0.0017694297 0.002059131 0.0015857342 0.0020438835 0.0015719389 0.0019371515 0.0015871864 0.0019073826 0.0015167576 0.0018543797 0.0014768239 0.0018398582 0.001467385 0.0017665253 0.0014790021 0.0017933899 0.0013504879 0.0017055356 0.0013032934 0.0016757668 0.0013076499 0.001583556 0.0012611814 0.0015051406 0.0012851417 0.0015138534 0.0012234258 0.0014586721 0.001192931 0.0013446794 0.001118872 0.001330158 0.0011225024 0.0012597293 0.0010702254 0.001298937 0.0009467937 0.0011834921 0.0009968925 0.0011849442 0.0009460676 0.0011704229 0.00089814706 0.0011203241 0.00086910435 0.0010622386 0.000876365 0.001107981 0.0008102927 0.0010063313 0.0007841543 0.00094316335 0.0007768936 0.0009511501 0.00077979785 0.0008814475 0.0010803903 0.0008030321 0.0006912175 0.0007667286 0.0006607226 0.0008161013 0.0006621747 0.0007950453 0.0005997328 0.0006578183 0.00057504646 0.0006621747 0.0005539905 0.000644023 0.0005467298 0.0005743204 0.00052857806 0.00055616867 0.0005263999 0.0005322084 0.00047630112 0.00047775326 0.0004487105 0.0004232981 0.0004182156 0.00040369423 0.00035649978 0.00038409038 0.0003506912 0.00034343053 0.00030204462 0.00029551 0.0002396027 0.00033181344 0.00025993263 0.00026501511 0.00022435524 0.00018877788 0.00023379414 0.0052083335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001390003 6.1761766e-06 5.086263e-06 4.359654e-06 6.539481e-06 6.1761766e-06 6.9027856e-06 4.7229587e-06 8.3560035e-06 4.7229587e-06 6.539481e-06 9.082612e-06 5.812872e-06 5.812872e-06 9.445917e-06 8.3560035e-06 0.00066739036 1.1625744e-05 7.26609e-06 1.453218e-06 8.3560035e-06 4.359654e-06 1.4168875e-05 6.539481e-06 2.5431316e-06 2.906436e-06 2.5431316e-06 3.2697405e-06 2.179827e-06 2.906436e-06 2.906436e-06 3.633045e-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 0.00060199556 1.1989048e-05 1.4168875e-05 1.0172526e-05 7.26609e-06 9.445917e-06 9.082612e-06 3.8146973e-05 5.812872e-06 1.0899136e-06 3.633045e-06 3.633045e-06 2.5431316e-06 2.179827e-06 4.359654e-06 1.852853e-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 0.00054350356 2.5431316e-06 1.1625744e-05 7.6293945e-06 7.26609e-06 1.3805571e-05 1.5258789e-05 1.1262439e-05 2.9790968e-05 1.9981748e-05 2.2524879e-05 1.7438617e-05 1.9981748e-05 1.5622094e-05 5.4495677e-06 3.633045e-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 0.0004435948 1.3078962e-05 1.9255138e-05 1.4168875e-05 1.0172526e-05 1.5985399e-05 1.7075312e-05 4.613967e-05 3.8510276e-05 1.453218e-05 1.5985399e-05 1.3078962e-05 1.4168875e-05 1.053583e-05 1.5985399e-05 4.178002e-05 0.0007832845 1.6712007e-05 3.0517578e-05 1.9981748e-05 1.9255138e-05 8.392334e-05 2.7611142e-05 2.833775e-05 0.00016312372 6.7574634e-05 1.852853e-05 2.6157924e-05 3.560384e-05 9.118943e-05 3.0517578e-05 4.5776367e-05 0.0010706583 6.6484725e-05 5.812872e-05 5.9218633e-05 5.304246e-05 5.413237e-05 7.702055e-05 5.740211e-05 0.00014895484 6.0308546e-05 4.83195e-05 5.1225936e-05 4.9046106e-05 0.00022379558 7.702055e-05 7.738386e-05 0.0009990874 6.43049e-05 7.084438e-05 6.939116e-05 6.539481e-05 6.939116e-05 8.319673e-05 6.575811e-05 8.937291e-05 7.4840726e-05 7.7747165e-05 7.811047e-05 7.7747165e-05 0.00018092564 8.392334e-05 8.210682e-05 0.2162392 0.1406824 0.10965438 0.08944956 0.07493192 0.06315032 0.052834284 0.04464649 0.03745197 0.030896505 0.02507019 0.01948729 0.014436995 0.00999378 0.0058862595 0.0019444057 0.0003080822 0.000193278 0.00015731085 0.00013442266 0.00012243362 0.00010245187 8.573986e-05 8.0290294e-05 6.0308546e-05 6.285168e-05 4.7956193e-05 3.8873583e-05 3.5967147e-05 2.5431314e-05 1.780192e-05 1.4895484e-05 0.0030619304 0.002870469 0.0026949928 0.0030695598 0.002660479 0.003123692 0.0030717396 0.002724057 0.0029718308 0.0028726486 0.0026644752 0.0029017131 0.0026622955 0.0029751007 0.0030230568 0.0027829125 15298.0 5.8683486 89774.0 0.019448837 0.01590661 0.01870252 0.014647894 0.01811215 0.01468131 0.017432664 0.013144118 0.016742041 0.013322343 0.015928889 0.013645376 0.015694967 0.013077283 0.016441286 0.012965892 0.01602914 0.011450977 0.014748145 0.01263172 0.01492637 0.011885401 0.013890436 0.011929957 0.014324861 0.0113061685 0.013623098 0.010983136 0.013868158 0.010782632 0.01323323 0.010426181 0.013344621 0.00995834 0.01263172 0.009679863 0.012163878 0.009846949 0.012063626 0.0092343 0.011885401 0.0095127765 0.011495533 0.00898924 0.011595785 0.008554815 0.01189654 0.009145187 0.011016552 0.00874418 0.010760354 0.008153808 0.010359347 0.008198365 0.010359347 0.007875332 0.009924922 0.008276339 0.009523916 0.007273821 0.009902644 0.007262682 0.009212022 0.007452046 0.009423664 0.007296099 0.0089781005 0.007140152 0.008766458 0.0069062314 0.008822153 0.0059705484 0.0083097555 0.0068950923 0.0081760865 0.006973066 0.0086550675 0.006204469 0.0076636886 0.0062490255 0.007730523 0.006171052 0.0075077415 0.006026244 0.007095596 0.0060151047 0.008064696 0.005669793 0.007585715 0.0057477667 0.007318377 0.0058257403 0.0065275026 0.0059594093 0.006616615 0.0054804287 6.5096884 1.0 0.0 0.0 20.0 1377280.0 90112.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1195581200.0 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 -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 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -65536.0 0.0 11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0071106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9874797 0.0 4.9739585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61600.0 0.0 12288.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73.0 86016.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0