Input: 0.24649929 0.0053325337 0.0020311114 0.0025527535 0.004206064 0.0024765 0.00085091783 0.0010138226 0.0063134287 0.0007989269 0.00092890416 0.00062389084 0.002980812 0.001495605 0.0008110581 0.0014782747 0.0018266138 0.0009670308 0.0006152257 0.00065161934 0.001266845 0.0013430984 0.0005892303 0.0006446872 0.0012807093 0.0013846911 0.0005511036 0.0005441715 0.000918506 0.0005511036 0.0006256239 0.0009063748 0.0026220747 0.00062389084 0.0014262839 0.00072613964 0.0026705994 0.0014990711 0.0006498863 0.0006412212 0.0013465644 0.00051471 0.00050431176 0.00069841114 0.0008439857 0.0011836597 0.00090984086 0.00070361025 0.0034643272 0.0015527951 0.0014765417 0.0053152037 0.0024175772 0.0014002884 0.0014574784 0.001606519 0.0018023513 0.001551062 0.0017070348 0.004434824 0.0029426853 0.0017330302 0.0017884871 0.0020917675 0.0025510204 0.0011126053 0.0032026398 0.0012841753 0.0014176187 0.008276952 0.0021870842 0.0040535578 0.006848935 0.0008561169 0.0006932121 0.0006030945 0.0011178044 0.007997934 0.0007659993 0.0007902618 0.005725932 0.0034695263 0.0015319986 0.0030865266 0.0019288625 0.0039287796 0.003093459 0.0030276037 0.0011386009 0.0030622643 0.0007850627 0.00259088 0.0011628632 0.0030553322 0.002814441 0.0038195986 0.0009982254 0.0025926132 0.0009341033 0.002064039 0.004542272 0.0034036713 0.0012616459 0.0010380851 0.0032563638 0.0023049302 0.0027399207 0.0007659993 0.0020259123 0.001318836 0.0018543423 0.0020761702 0.0018352789 0.00073133875 0.0025180927 0.0026272738 0.0039963676 0.0020779031 0.0011541981 0.00094450143 0.0013465644 0.00093237025 0.0010051575 0.00087691325 0.0012183202 0.0011749945 0.00090984086 0.0009808951 0.0029062915 0.0051904256 0.0006169587 0.003956508 0.0009670308 0.0021004325 0.0005424384 0.00076080026 0.0013292341 0.005504104 0.0014800078 0.01939954 0.00089770963 0.008016998 0.00065855146 0.0008682481 0.0011160715 0.0006082936 0.00062908995 0.0015441299 0.0008682481 0.0008422527 0.00061002665 0.000746936 0.0008873115 0.0006932121 0.0005511036 0.000575366 0.0007296057 0.0006169587 0.0005476375 0.0007001442 0.0016325144 0.0029790788 0.0010432842 0.0015666593 0.0010588814 0.00072787266 0.0005944293 0.0006360221 0.0008110581 0.00059962843 0.0004956466 0.0025423553 0.0008959766 0.0006706827 0.0006429542 0.0007746645 0.0009306372 0.0005389724 0.00061002665 0.0007382709 0.0010242208 0.00087171415 0.001036352 0.00089944265 0.0042771185 0.004933937 0.0006654836 0.00062389084 0.0008214563 0.0027763143 0.0006949451 0.00083532056 0.002755518 0.0011715284 0.0014765417 0.0024383734 0.004675715 0.0014834738 0.00095489965 0.0021004325 0.0023257264 0.0006498863 0.0004887145 0.0005112439 0.18855195 0.0008838454 0.00055456965 0.0006481533 0.0013465644 0.0005441715 0.0004991127 0.0006481533 0.0009583657 0.00052510813 0.00053030724 0.00063428906 0.001785021 0.00050777785 0.000518176 0.0007694654 0.0013465644 0.00061175966 0.00062735693 0.0007365378 0.001493872 0.00065855146 0.00060482754 0.00062908995 0.0009583657 0.0027797804 0.0005632348 0.0007850627 0.0137204 0.005159231 0.0006186918 0.0013136369 0.010067172 0.0005337733 0.00050257874 0.00065335236 0.001495605 0.00064642023 0.0007677324 0.0028283051 0.003845594 0.00062735693 0.0006152257 0.00065508543 0.004325643 0.00063255604 0.0005944293 0.0029201559 0.005219887 0.004133277 0.005509303 0.09761639 0.051553637 1.7376557e-06 1.7376557e-06 5.212967e-06 9.557107e-06 6.0817947e-06 1.7376557e-06 8.6882784e-07 4.344139e-06 0.0 8.6882784e-07 2.6064836e-06 0.046240754 1.7376557e-06 1.7376557e-06 3.214663e-05 0.0050939377 1.6507729e-05 2.5196008e-05 2.3458351e-05 8.2538645e-05 3.4753113e-05 2.6064836e-05 2.6933663e-05 9.643989e-05 3.4753114e-06 1.0425934e-05 1.7376557e-05 0.0051130517 7.819451e-06 3.9966082e-05 5.8211466e-05 0.011363399 0.00014596307 0.00014770073 1.4770073e-05 0.00017289675 1.9114214e-05 1.6507729e-05 2.8671318e-05 9.8177545e-05 0.00014335659 5.1260842e-05 2.0851869e-05 0.00011989824 2.5196008e-05 2.2589524e-05 6.516209e-05 0.012985501 0.00030061443 0.00027541842 2.6933663e-05 0.00029279498 2.8671318e-05 5.0392016e-05 3.3884287e-05 1.9983041e-05 0.00027976258 5.3867327e-05 3.1277803e-05 0.0015873485 5.560498e-05 9.2095754e-05 0.0016794442 0.019673739 0.00043267626 0.0003901037 8.9489266e-05 0.00053780444 0.00015638901 0.00032841694 0.00019114213 6.6899745e-05 0.00041269322 9.5571064e-05 0.00015725783 0.0025222073 0.00011989824 0.00012858651 0.0031668774 0.016171493 0.00011207879 0.00035187526 0.00079671515 0.00062555604 0.00026412366 0.00088794203 0.0011138374 0.00032059746 0.00015204487 8.5145126e-05 0.00018592917 0.0015282682 6.3424435e-05 0.00018506033 0.016301816 0.01188209 0.00011294762 0.00037359598 0.0004526593 0.0010521505 0.0004152997 0.0008644837 0.00057603285 0.00024848475 0.00016247081 0.00028497554 0.0010017585 0.0028184776 0.0003901037 0.00038749722 0.014564161 0.018645914 0.00016420847 0.00063511316 0.001105149 0.0016360028 0.0014179271 0.0029757353 0.0015856108 0.000686374 0.00040661142 0.0007958463 0.0010191351 0.0014804826 0.00031799098 0.00037012066 0.02191792 0.013527649 0.00019374861 0.0011763929 0.0007046194 0.0008514513 0.0006299002 0.00403223 0.002129497 0.00081930467 0.0003457935 0.00012771769 0.00020330571 0.002322377 9.643989e-05 0.00023979649 0.0010695271 0.016561596 0.00036056354 0.00082191115 0.0015187111 0.0031512387 0.0011572787 0.0045291996 0.003007882 0.00076022436 0.0005334603 0.00018419151 0.00024066531 0.00021286283 0.0002059122 0.00019635509 0.00036577653 0.00885075 0.00043441393 0.0006924558 0.001448336 0.0018532098 0.0012128836 0.0020408765 0.0016820508 0.0012945535 0.00033536754 0.00027976258 0.0004083491 0.0036351758 0.00026933663 0.00097048073 0.0012823899 0.011873402 0.0014387789 0.0019713703 0.012789146 0.0023649493 0.0019817962 0.0017498193 0.0014917774 0.0035196217 0.0014518113 0.0012980289 0.0021155959 0.011269566 0.0014196647 0.005642168 0.0052381633 0.050191317 0.003896693 0.0039140694 0.009163528 0.017546847 0.023683378 0.00750841 0.0042485683 0.029490624 0.0024770282 0.007305973 0.00896891 0.09561798 0.00343187 0.020076005 0.041660294 0.022456594 0.0026021395 0.0023675559 0.004333713 0.009184379 0.009110529 0.004104343 0.00352831 0.013294804 0.0014057634 0.003033078 0.003346725 0.03339774 0.00197919 0.008233882 0.018190648 0.0021277594 0.00043528274 0.00063598197 0.00057516404 0.00057516404 0.0004830683 0.0005212967 0.00067594805 0.00062555604 0.0006212119 0.0005821147 0.0006802922 0.00054823037 0.0005525745 0.00042225033 0.0023936208 0.005783787 0.0040443935 0.0038080725 0.0037611558 0.003912332 0.0037316156 0.003568276 0.0040435246 0.0039940015 0.003563932 0.003522228 0.003909725 0.0038019908 0.0036820925 0.004132145 0.0047976673 1371.0 13.160467 18043.0 0.019342681 0.0024386188 0.003214543 0.0023831958 0.009421936 0.002826581 0.0029374273 0.0024386188 0.004600122 0.0014964252 0.0008313473 0.0016072715 0.0029374273 0.0022723493 0.007925511 0.0036025052 0.016460678 0.012248517 0.012026825 0.015075099 0.013412404 0.010419553 0.011528016 0.010031591 0.013467827 0.009366513 0.012747326 0.011140054 0.016571524 0.012858172 0.011749709 0.02477415 0.029706812 0.009643629 0.003879621 0.008756858 0.0069278944 0.0059302775 0.0051543536 0.0066507785 0.0055423155 0.005653162 0.001773541 0.0020506568 0.00631824 0.004378429 0.002826581 0.0032699662 0.008036357 0.0023277726 0.0033253892 0.0054868925 0.0058194315 0.005764008 0.0072050104 0.007925511 0.00737128 0.0012747326 0.0047663916 0.004600122 0.00737128 0.0015518484 0.004655545 0.027877847 0.004267583 0.0375769 0.009255667 0.025494652 0.023443995 0.046278335 0.009532783 0.007759242 0.013079865 0.03402982 0.0023831958 0.003990467 0.023499418 0.013634096 0.02316688 0.02898631 0.015851023 0.0013301558 0.035692513 0.033475585 0.04816272 0.015019675 0.006761625 0.0058194315 0.008812282 0.0066507785 0.00315912 0.00094219367 0.006096547 0.0021060798 0.0029928505 0.0027711578 6.032372 8.0 1.0 0.0 4.0 577024.0 749568.0 1.0 0.0 183.0 1.0 1.0 0.0 1.0 0.0 1541882600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 320000.0 1024.0 4096.0 10.0 1.0 0.0 2.0 4.0 0.0 0.0 -1024.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -320000.0 -12288.0 148480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.014213046 0.0 0.0 -6.124803 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 2.8705127 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6369195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9948864 -5.152986 4.0312233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -777.0 0.0 0.0 -17470.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 69188.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14916.0 0.0 0.0 0.0 0.0 0.0 0.0 137013.0 0.0 -319598.0 -11948.0 148168.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 1.0 -1.0 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 -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 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 0.0 1.0 -1.0 0.0 -1.0 -2.0 1.0 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 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 1.0 -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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 2.0 -1.0 1.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 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 -2.0 0.0 0.0 1.0 -2.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 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 1.0 0.0 2.0 0.0 0.0 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 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 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 0.0 1.0 -3.0 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 -1.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 -2.0 2.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 -2.0 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 0.0 0.0 3.0 0.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 2.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 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 -1.0 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 -1.0 1.0 1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 2.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 2.0 -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 -1.0 0.0 0.0 2.0 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 1.0 -1.0 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 1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -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 -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 2.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 2.0 2.0 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 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 555888.0 149625.0 577536.0 0.0 0.0 0.0 0.0 14784.0 729088.0 56.0 502960.0 0.0 0.0 0.0 0.0 24.0 504032.0 64.0 503016.0 0.0 0.0 2928.0 552960.0 0.0 0.0 0.0 0.0


Input: 0.18579811 0.0037603735 0.0035172459 0.0031039289 0.0032579098 0.003428099 0.0030796162 0.003168763 0.0033470565 0.0030471992 0.0031606588 0.0029256353 0.0035010374 0.0029661567 0.003136346 0.0030390949 0.003752269 0.0030309907 0.0032741183 0.003136346 0.0030390949 0.0034686204 0.0027311333 0.003266014 0.0034524119 0.0031768673 0.0030553034 0.0031849714 0.0031525544 0.0029661567 0.0032498054 0.0030471992 0.0033713693 0.00320118 0.0030553034 0.00320118 0.0031444503 0.0033713693 0.0030309907 0.0031201374 0.0030471992 0.0031525544 0.0029094268 0.0032498054 0.0030066778 0.0028283843 0.0029904693 0.0032092843 0.0028851142 0.0033713693 0.0033551608 0.0029418438 0.0030634077 0.003298431 0.0032092843 0.0034037863 0.0032092843 0.0031201374 0.003233597 0.0031039289 0.0031768673 0.0029094268 0.003168763 0.0031039289 0.0030309907 0.0030634077 0.0032254928 0.0029580523 0.0032741183 0.0034037863 0.003363265 0.0032498054 0.0034037863 0.0030147822 0.0032498054 0.0028932183 0.003168763 0.0033713693 0.0030553034 0.0032579098 0.0030958247 0.0031525544 0.0030066778 0.0032417013 0.0033065353 0.003363265 0.003492933 0.0031039289 0.003233597 0.0033875778 0.0030553034 0.0030796162 0.0035334544 0.0031039289 0.0032254928 0.003136346 0.0030309907 0.0030309907 0.0029823652 0.0033794735 0.003266014 0.0031606588 0.0036388095 0.0029499482 0.003330848 0.0031039289 0.003428099 0.0029580523 0.0031606588 0.0028364887 0.0032741183 0.0033065353 0.003266014 0.0032741183 0.0032579098 0.003168763 0.0031525544 0.003136346 0.0028364887 0.0033875778 0.0030390949 0.0031201374 0.0033146394 0.0034524119 0.0032173884 0.003136346 0.0033146394 0.0031282417 0.0032173884 0.0031930758 0.0030471992 0.0030958247 0.0031120332 0.003428099 0.0031525544 0.003136346 0.0034118905 0.003590184 0.0034362033 0.003428099 0.0031039289 0.0033875778 0.0030553034 0.003266014 0.0030147822 0.0036307054 0.003298431 0.0030715119 0.0031120332 0.0032173884 0.0030066778 0.0031282417 0.003233597 0.0028445928 0.0030715119 0.0030715119 0.0030471992 0.0032741183 0.003590184 0.0031444503 0.0028689057 0.0033713693 0.0031930758 0.0030309907 0.0028202801 0.00320118 0.0030471992 0.0033227438 0.0032741183 0.0035010374 0.0033470565 0.0030390949 0.00320118 0.0031201374 0.003622601 0.0031201374 0.0034362033 0.0032822224 0.0031201374 0.0033389523 0.0031444503 0.0033389523 0.0029337397 0.0032092843 0.0030796162 0.0030553034 0.0030715119 0.0029418438 0.0032903268 0.003266014 0.0031768673 0.0030471992 0.003136346 0.00320118 0.0031039289 0.0033146394 0.0028932183 0.0030553034 0.0030066778 0.0034524119 0.0032417013 0.0030958247 0.0031201374 0.0036063925 0.0032741183 0.0034037863 0.0031525544 0.0032173884 0.0030715119 0.0031201374 0.0032417013 0.0031930758 0.0035658714 0.0030228863 0.0033875778 0.0032417013 0.003298431 0.0029742608 0.0029013227 0.0030553034 0.0033227438 0.0027473418 0.0031120332 0.0029499482 0.003266014 0.0029175312 0.0029499482 0.0030390949 0.0030715119 0.0033875778 0.0033794735 0.0029175312 0.0030309907 0.0032903268 0.003395682 0.0031930758 0.003330848 0.0029337397 0.003460516 0.003363265 0.0031930758 0.0032173884 0.003460516 0.0029499482 0.0031930758 0.0030796162 0.0033551608 0.0032498054 0.0035739755 0.0031606588 0.003136346 0.0029661567 0.0031282417 0.0031282417 0.0032903268 0.00466805 0.15126051 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008189995 1.23096115e-05 0.0 1.6412816e-05 1.6412816e-05 2.051602e-05 1.23096115e-05 2.051602e-05 1.6412816e-05 1.6412816e-05 8.206408e-06 2.051602e-05 1.6412816e-05 1.23096115e-05 1.23096115e-05 1.23096115e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059660585 0.00016002495 4.103204e-05 5.7444853e-05 0.000221573 0.00018054097 6.5651264e-05 4.9238446e-05 0.00060317095 3.2825632e-05 5.334165e-05 6.154806e-05 0.0001107865 4.103204e-06 0.00015592175 0.0006400998 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0080217635 0.0006688222 0.0003282563 0.0004308364 0.0006400998 0.0005621389 0.0006606158 0.0005005909 0.0010914522 0.00037339155 0.00038980437 0.00038570116 0.00042263 0.00034466913 0.0005621389 0.0014238117 0.0039226627 0.00028722428 0.00027081146 0.00026670826 0.00033235952 0.00023388262 0.00039390757 0.0003282563 0.00020516019 0.00033646272 0.00023388262 0.0003118435 0.00029132748 0.00029132748 0.00038980437 0.0003077403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050498128 0.050173976 0.049775966 0.05009191 0.050223213 0.050990514 0.049825203 0.050695084 0.050571986 0.050543264 0.051006924 0.05048582 0.050965894 0.050108325 0.050284762 0.050481714 468.0 5.794872 2712.0 0.012905605 0.011061947 0.0092182895 0.013274336 0.010693216 0.011061947 0.0073746312 0.01179941 0.0088495575 0.009587021 0.0092182895 0.0088495575 0.01179941 0.008480826 0.012536873 0.011061947 0.0092182895 0.007743363 0.009587021 0.0073746312 0.010324484 0.012905605 0.012536873 0.011430679 0.008112094 0.0092182895 0.0073746312 0.009955753 0.011061947 0.008112094 0.006637168 0.010693216 0.008480826 0.012168142 0.007743363 0.009955753 0.007743363 0.0092182895 0.008112094 0.008480826 0.012905605 0.007743363 0.008480826 0.005899705 0.011430679 0.010693216 0.0088495575 0.012536873 0.012536873 0.008480826 0.012536873 0.0147492625 0.009587021 0.008480826 0.011061947 0.009587021 0.0092182895 0.0092182895 0.010324484 0.008112094 0.014380531 0.011061947 0.012536873 0.011061947 0.009587021 0.011061947 0.011430679 0.012168142 0.0092182895 0.01880531 0.011430679 0.0092182895 0.009955753 0.013643068 0.008112094 0.007743363 0.0147492625 0.007743363 0.01659292 0.008112094 0.0088495575 0.0088495575 0.015855458 0.012905605 0.013643068 0.012536873 0.0088495575 0.011430679 0.011061947 0.01179941 0.0092182895 0.0092182895 0.01179941 0.009955753 0.009955753 0.011061947 6.551936 0.0 0.0 0.0 2.0 123392.0 131072.0 0.0 0.0 11.0 1.0 0.0 0.0 0.0 0.0 1288989000.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 121856.0 1024.0 4096.0 2.0 0.0 0.0 1.0 1.0 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 -121856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2537402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.2475486 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121848.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 125652.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.037649985 0.004294845 0.0039860387 0.0037788134 0.006391477 0.0033359202 0.003567525 0.004323288 0.0041973274 0.0036244104 0.0037138015 0.0033562365 0.004059177 0.0033602996 0.003331857 0.007858307 0.00392509 0.0038072562 0.0033399835 0.0035390824 0.0034049954 0.0033521731 0.003567525 0.0034049954 0.003433438 0.0036162839 0.003161201 0.0033196672 0.0036569163 0.003567525 0.0033440467 0.00349845 0.0058998247 0.003384679 0.003465944 0.0033237305 0.009629879 0.0033724895 0.0033765526 0.003283098 0.0036569163 0.0036325369 0.0032709085 0.003299351 0.003738181 0.0033928056 0.0033237305 0.003283098 0.004140442 0.0044655013 0.0041201254 0.004278592 0.004648347 0.0039332164 0.0038966474 0.0057454216 0.0045305127 0.004111999 0.0031083787 0.0034456279 0.0035228294 0.0033440467 0.0034456279 0.0037584973 0.0036325369 0.0034537541 0.0032668451 0.003396869 0.004307035 0.0041526314 0.0038682048 0.0036081574 0.0033928056 0.003535019 0.0033724895 0.0034781336 0.003600031 0.003315604 0.003433438 0.0033724895 0.0036975488 0.0034537541 0.0034537541 0.0034618806 0.0034375014 0.0036122205 0.003449691 0.0034415645 0.0033602996 0.003295288 0.0036731693 0.0034456279 0.003384679 0.003364363 0.0035106395 0.009203239 0.004871825 0.0042013903 0.0038844578 0.0041892007 0.005586955 0.0041892007 0.0077201566 0.0032587186 0.0042217067 0.0036772324 0.003470007 0.0032871615 0.0039860387 0.003396869 0.0034537541 0.003738181 0.0034537541 0.0034618806 0.0036366 0.0036812958 0.004558956 0.003754434 0.0035065764 0.0034212484 0.0035065764 0.0035228294 0.0035797146 0.0032099597 0.00334811 0.00349845 0.0035553353 0.003246529 0.0037910033 0.00349845 0.0036812958 0.004242023 0.0037625604 0.0037300545 0.003551272 0.0036975488 0.0041892007 0.0054203626 0.003518766 0.003953533 0.0032546555 0.00566822 0.0034578175 0.0036731693 0.003400932 0.0033034144 0.0034212484 0.0034253115 0.0033765526 0.003413122 0.0032587186 0.0031368216 0.0036650428 0.0035106395 0.0035228294 0.0032709085 0.005936394 0.0032871615 0.003368426 0.003465944 0.003331857 0.003279035 0.0031165052 0.003669106 0.0033359202 0.003230276 0.0032262127 0.003429375 0.0030961891 0.0032546555 0.0033440467 0.003514703 0.0035228294 0.003230276 0.0034456279 0.0034537541 0.0034456279 0.003262782 0.00334811 0.003396869 0.003283098 0.0034618806 0.003604094 0.0038113194 0.0040307343 0.0034253115 0.0040347977 0.003685359 0.0033887425 0.0034943866 0.0038966474 0.0031408847 0.004437058 0.0041810744 0.0035106395 0.0036244104 0.00393728 0.003600031 0.0044004894 0.0040469873 0.0037463075 0.0036894223 0.003311541 0.003364363 0.0033440467 0.003417185 0.0033399835 0.003518766 0.0038275723 0.0032505922 0.0040307343 0.0036162839 0.0034415645 0.0033887425 0.003262782 0.0035472088 0.003770687 0.0034090586 0.003429375 0.0033196672 0.003384679 0.003384679 0.0036447265 0.0036325369 0.0036122205 0.003400932 0.0035390824 0.003449691 0.0033277937 0.0033277937 0.0034943866 0.0034943866 0.0057129157 0.006220821 0.0035634618 0.0034537541 0.003429375 0.0033765526 0.0035228294 0.0033399835 0.0034049954 0.003465944 0.0036325369 0.0035431455 0.003380616 0.0039982283 0.004071367 0.0037097384 0.0040185447 0.00421358 0.0037950664 0.0033765526 0.003685359 0.003620347 0.003957596 0.010901674 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751561 0.053788573 0.056716215 0.053308465 0.05444438 0.053721152 0.059864506 0.054714058 0.05849364 0.05426664 0.05222362 0.05393567 0.056274924 0.05410524 0.056464925 0.05974397 1065.0 10.760564 11460.0 0.04930192 0.005061082 0.006980803 0.0042757415 0.0062827226 0.0042757415 0.0040139616 0.005322862 0.0059336824 0.005671902 0.0041884817 0.0047993017 0.0046247817 0.0035776615 0.0057591624 0.0046247817 0.014746946 0.02661431 0.022687608 0.02774869 0.018062828 0.016666668 0.015794067 0.056631763 0.02469459 0.015968587 0.004363002 0.0055846423 0.0060209422 0.007329843 0.005410122 0.005846422 0.0068935426 0.007940663 0.0041884817 0.004886562 0.0064572426 0.0055846423 0.0061082025 0.007155323 0.0047993017 0.0063699824 0.005148342 0.005846422 0.005671902 0.0059336824 0.0062827226 0.0042757415 0.0067190225 0.005322862 0.004886562 0.006806283 0.004363002 0.004537522 0.004537522 0.0060209422 0.0055846423 0.0041884817 0.0060209422 0.005846422 0.0034031414 0.005148342 0.0041884817 0.12600349 0.004973822 0.020331588 0.011169285 0.02547993 0.015095986 0.02303665 0.014048866 0.0072425827 0.0061954623 0.009685864 0.004712042 0.0042757415 0.010645724 0.0067190225 0.009336824 0.012827225 0.0060209422 0.0067190225 0.013961606 0.009249563 0.014834206 0.009947644 0.005148342 0.0063699824 0.0066317627 0.006980803 0.005235602 0.004886562 0.005061082 0.0062827226 0.005497382 0.005410122 5.9374104 0.0 0.0 0.0 5.0 246109.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 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 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.41350445 0.022600446 0.011300223 0.0055803573 0.0050223214 0.0030691964 0.004045759 0.0033482143 0.0066964286 0.0013950893 0.0026506695 0.00069754466 0.0011160715 0.0011160715 0.0016741072 0.00013950893 0.001813616 0.0037667411 0.001813616 0.0015345982 0.0008370536 0.002232143 0.001813616 0.00055803574 0.0012555803 0.0012555803 0.0004185268 0.0013950893 0.0008370536 0.00013950893 0.00069754466 0.00055803574 0.0050223214 0.004045759 0.0004185268 0.00069754466 0.001813616 0.0009765625 0.0033482143 0.0004185268 0.00055803574 0.00069754466 0.0016741072 0.00013950893 0.0004185268 0.00013950893 0.026506696 0.0008370536 0.00906808 0.002232143 0.0027901786 0.0015345982 0.0009765625 0.00069754466 0.0004185268 0.0012555803 0.0004185268 0.0008370536 0.00013950893 0.00027901787 0.00013950893 0.0 0.00013950893 0.00027901787 0.002232143 0.007254464 0.005998884 0.010044643 0.0033482143 0.008510045 0.0016741072 0.00055803574 0.0009765625 0.012555803 0.00027901787 0.00013950893 0.0009765625 0.002232143 0.0027901786 0.0008370536 0.005998884 0.00055803574 0.0020926339 0.0037667411 0.00390625 0.0107421875 0.001953125 0.00055803574 0.00027901787 0.00027901787 0.00027901787 0.00013950893 0.00055803574 0.00013950893 0.00013950893 0.0015345982 0.0013950893 0.01436942 0.0033482143 0.0066964286 0.011021205 0.04129464 0.001813616 0.014927455 0.0013950893 0.037109375 0.00013950893 0.0015345982 0.01311384 0.005859375 0.046456475 0.013392857 0.004603795 0.00027901787 0.021205356 0.011300223 0.03362165 0.00906808 0.004464286 0.0008370536 0.0004185268 0.0126953125 0.00027901787 0.00027901787 0.00027901787 0.0008370536 0.00069754466 0.00013950893 0.001813616 0.00027901787 0.0 0.00013950893 0.00013950893 0.00013950893 0.00027901787 0.0 0.0 0.00027901787 0.0 0.0 0.0004185268 0.00013950893 0.00013950893 0.0 0.00013950893 0.00013950893 0.00013950893 0.00055803574 0.0 0.00013950893 0.0012555803 0.00027901787 0.0 0.00013950893 0.0 0.0 0.00013950893 0.0 0.00027901787 0.0 0.00013950893 0.0 0.00013950893 0.00027901787 0.00013950893 0.0 0.00013950893 0.0 0.00013950893 0.0 0.00013950893 0.0 0.00013950893 0.0 0.00013950893 0.0 0.00013950893 0.00027901787 0.0 0.00013950893 0.00027901787 0.0004185268 0.0 0.00013950893 0.00027901787 0.00027901787 0.0004185268 0.00013950893 0.00013950893 0.00013950893 0.0 0.0 0.0 0.0 0.0 0.0 0.00013950893 0.0 0.00013950893 0.0 0.0004185268 0.0 0.00013950893 0.0 0.0 0.00027901787 0.00027901787 0.00013950893 0.00013950893 0.0 0.00013950893 0.0 0.0 0.00013950893 0.0 0.00027901787 0.00013950893 0.00013950893 0.0 0.00013950893 0.0 0.0 0.00013950893 0.00013950893 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.00013950893 0.00013950893 0.00027901787 0.00013950893 0.00013950893 0.0 0.00027901787 0.0 0.0 0.00013950893 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0 0.00055803574 0.00013950893 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14038086 0.00040690103 0.0020345051 0.0016276041 0.0033365886 0.0016276041 0.012369792 0.0041503906 0.00016276042 0.0 0.0 0.00016276042 0.00016276042 0.0 8.138021e-05 0.00016276042 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18603516 0.0081380205 0.01578776 0.0056152344 0.016520182 0.010660808 0.053385418 0.02750651 0.0018717448 0.0018717448 0.00081380206 0.001546224 0.0008951823 0.0007324219 0.0006510417 0.0013020834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.100260414 0.013590495 0.034179688 0.01570638 0.04744466 0.024576822 0.17464192 0.08170573 0.001953125 0.0017089844 0.0007324219 0.0010579427 0.00016276042 0.0006510417 0.0006510417 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 123.0 22.642277 2785.0 0.0028725313 0.008976661 0.0007181328 0.0010771992 0.0017953322 0.0007181328 0.0 0.0 0.0 0.0 0.0 0.0003590664 0.0 0.0 0.04416517 0.0021543985 0.016876122 0.0057450626 0.004308797 0.0017953322 0.0014362657 0.0014362657 0.0007181328 0.0017953322 0.0007181328 0.0007181328 0.0 0.0 0.0003590664 0.0 0.0003590664 0.0 0.0003590664 0.018312387 0.014003591 0.0046678637 0.007540395 0.02010772 0.0021543985 0.0010771992 0.0003590664 0.02908438 0.0 0.0 0.0003590664 0.0046678637 0.00502693 0.0010771992 0.012926391 0.0 0.00502693 0.007540395 0.008617594 0.026211848 0.0007181328 0.0010771992 0.0 0.0003590664 0.0 0.0 0.0 0.0 0.0 0.0028725313 0.0014362657 0.031597845 0.007899461 0.014362657 0.025493717 0.09874327 0.0032315978 0.035906643 0.002513465 0.08868941 0.0003590664 0.0032315978 0.028007181 0.011849192 0.1102334 0.028366247 0.01005386 0.0003590664 0.049551167 0.026570916 0.08186714 0.020466786 0.011490125 0.0021543985 0.0010771992 0.030879714 0.0003590664 0.0 0.0 0.0 0.0 0.0 4.857174 0.0 0.0 0.0 1.0 7168.0 32768.0 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 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 5120.0 512.0 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 -5120.0 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 -5.3190827 0.0 2.5532 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 -4708.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 12808.0 1024.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 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: 0.025554612 0.0046673166 0.0040942705 0.004024114 0.004911965 0.004003327 0.0037952552 0.0038396278 0.0044174707 0.0035200254 0.0036817254 0.003709708 0.004166226 0.003781064 0.0036439488 0.0041040643 0.0038662115 0.003504235 0.0034500686 0.0034974392 0.003789459 0.0038076476 0.0035476084 0.0036977155 0.003797254 0.0035921808 0.0035562029 0.0036603387 0.0036733306 0.0036029741 0.0037015132 0.0038674108 0.0038935945 0.0034314801 0.0033983006 0.0035426114 0.0043936856 0.003442873 0.0034586631 0.0035472086 0.0036545421 0.0034764523 0.0035164275 0.003541412 0.003573792 0.0035112307 0.0037400895 0.0037346927 0.0038356304 0.0035987766 0.0035296194 0.0038398278 0.003553005 0.0035292197 0.003583586 0.0036233615 0.0037091086 0.0036609382 0.00369052 0.0040377057 0.0038138437 0.0037914577 0.0037492837 0.003914981 0.0038072478 0.003753681 0.0036219624 0.003645348 0.0050706672 0.004927756 0.0038486223 0.0037576784 0.0036641364 0.003551006 0.0035276206 0.003548208 0.0036617378 0.004222991 0.0037043116 0.0037702706 0.004561382 0.0037578784 0.0037105076 0.00396575 0.0036817254 0.003740689 0.0039371676 0.00403031 0.0037620757 0.0037986531 0.003667734 0.0036765286 0.0036883214 0.0038698092 0.0041360445 0.0041024657 0.0037015132 0.003914981 0.003708309 0.0038486223 0.0037980536 0.0042225914 0.00380385 0.0036835242 0.0038955933 0.0038140437 0.0039823395 0.0036509444 0.003907186 0.0036717316 0.0038626136 0.004090073 0.0037830628 0.0036127681 0.0039523584 0.00385242 0.00462934 0.0047626575 0.0037250987 0.003871808 0.003824837 0.0037095083 0.0037700708 0.0037770665 0.003851021 0.0040598917 0.003948161 0.004025913 0.0038592159 0.0036651357 0.0034676576 0.004459845 0.003745486 0.0040249135 0.00364195 0.0036131677 0.0036169654 0.0047738506 0.0036059723 0.0065201716 0.003648346 0.00537388 0.0037642745 0.0037614761 0.0039889356 0.00359338 0.003426683 0.0037111072 0.0036395516 0.0035637983 0.0034556652 0.0035703941 0.0034612617 0.0035242226 0.0034902438 0.0035426114 0.00354501 0.0036753293 0.0037652738 0.0038810023 0.0036733306 0.0036571405 0.003441474 0.0036127681 0.0035328174 0.0035426114 0.0033949027 0.0036485458 0.0035454095 0.003491643 0.003468857 0.0036727309 0.003549807 0.0035598008 0.0035735923 0.0037646743 0.0036601387 0.0036087704 0.003499438 0.0035891826 0.0035695948 0.0035825868 0.003494641 0.0036795267 0.003742088 0.0035534047 0.0036511442 0.0036175651 0.0036347543 0.003848822 0.0038610147 0.004022115 0.004237982 0.0036735304 0.0036701325 0.003961153 0.0037592775 0.0035134293 0.0040231147 0.0040480993 0.0036853233 0.0036943175 0.0034698562 0.0036171654 0.0038624138 0.0034874454 0.0037203017 0.0039393664 0.0037836623 0.0036281585 0.0036049727 0.0036203633 0.0036213626 0.0035927803 0.0037211012 0.0038122449 0.003750283 0.0036037737 0.0035943794 0.0036173651 0.003575791 0.003659939 0.0037143053 0.003956156 0.0036887212 0.0035957785 0.003562599 0.003766673 0.0036333553 0.0035957785 0.0035404128 0.0038416267 0.0052191755 0.004106463 0.0037005139 0.0042243903 0.0039557563 0.0036909198 0.0037015132 0.0040381053 0.003947961 0.0038256366 0.0036833244 0.003855818 0.0039337697 0.0038168419 0.003781264 0.004096869 0.004003926 0.0038979917 0.0038714083 0.0040329085 0.004593362 0.004125851 0.004349313 0.009254282 0.0024478047 1.1997082e-06 9.997568e-07 6.998298e-07 1.7995624e-06 8.997812e-07 8.997812e-07 1.9995137e-07 7.998055e-07 1.9995137e-07 0.0 0.0 0.0 0.0 0.0 1.4996352e-06 0.00039550383 1.6995866e-06 3.9990275e-07 1.9995137e-07 1.7995624e-06 6.998298e-07 2.9992705e-07 2.9992705e-07 2.599368e-06 2.9992705e-07 2.9992705e-07 6.998298e-07 6.998298e-07 0.0 9.997568e-07 2.9992705e-06 0.00018795428 2.899295e-06 3.9990275e-07 9.9975686e-08 3.3991732e-06 6.998298e-07 2.9992705e-07 5.998541e-07 1.7995624e-06 7.998055e-07 2.1994651e-06 2.9992705e-07 1.299684e-06 9.9975686e-08 5.998541e-07 1.299684e-06 0.00017995623 1.599611e-06 1.899538e-06 1.9995137e-07 1.3996596e-06 7.998055e-07 3.5991247e-06 1.9995136e-06 2.0994894e-06 3.8990515e-06 6.998298e-07 9.997568e-07 7.998055e-07 1.3996596e-06 2.6993434e-06 6.998298e-07 0.00017465753 1.0997326e-06 1.0997326e-06 4.998784e-07 1.899538e-06 1.9995137e-07 2.6993434e-06 2.3994164e-06 6.398444e-06 2.9992705e-07 6.998298e-07 5.998541e-07 7.998055e-07 4.998784e-07 1.6995866e-06 9.197763e-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 0.0003141236 1.3896621e-05 2.2394554e-05 2.7993192e-06 9.397714e-06 5.298711e-06 9.8975925e-06 7.2982252e-06 6.0985167e-06 2.0994894e-06 3.499149e-06 1.7995624e-06 1.7995624e-06 3.0992462e-06 1.9995136e-06 3.9990273e-06 0.003096347 8.897836e-05 8.557919e-05 7.878084e-05 0.00038660597 0.00020085115 0.0005498663 0.00026453566 3.599125e-05 6.738361e-05 4.518901e-05 4.2489668e-05 3.8290687e-05 3.8990518e-05 3.6991005e-05 0.00026663515 0.0066627795 0.00023554271 0.0003231214 0.00042579643 0.0005541652 0.00039910295 0.0015227296 0.0010129537 0.00019455269 0.00019955148 0.00013566701 0.00012766896 0.00013226783 0.000115471914 0.0001936529 0.00025473806 0.0019412279 4.6688645e-05 0.00013586695 0.00018305548 0.00043729364 0.00021574752 0.00080210494 0.00044709127 0.0001418655 5.4286797e-05 4.1090007e-05 2.6993435e-05 4.2789594e-05 2.9092924e-05 5.978546e-05 0.00010427464 0.0007203248 2.459402e-05 0.00014136561 8.987814e-05 0.0002389419 0.00013796645 0.00053037103 0.0002989273 3.269205e-05 3.8190712e-05 3.129239e-05 7.598152e-06 2.7593289e-05 9.797617e-06 1.3796644e-05 0.00011367235 0.00056506257 4.059013e-05 8.467941e-05 5.4786677e-05 0.0001587614 0.000103474835 0.00018795428 0.00012097058 5.7286066e-05 7.31822e-05 5.4886652e-05 1.4296523e-05 3.059256e-05 2.039504e-05 3.0892486e-05 0.00024494043 0.0010418466 0.00019185334 0.0001290686 0.00018405524 0.0005024778 0.0002948283 0.00012157043 0.00022934422 0.00090847904 0.00014806399 0.00012017077 0.000110873036 0.00032592073 8.05804e-05 0.00040100247 0.0009428707 0.0051628444 0.00084479456 0.0010284499 0.00079870573 0.0020327056 0.0018695453 0.0009206761 0.0010218514 0.003626018 0.00067003706 0.00041179985 0.000361812 0.0013334757 0.00047548435 0.0013260775 0.0032999974 0.006355854 0.0013011836 0.0012209031 0.001143122 0.0028014188 0.0026944447 0.0010929342 0.0016264045 0.004583985 0.0009899592 0.00044259237 0.00049328 0.0020254075 0.0006638386 0.0016616959 0.003458259 0.056605134 0.055819124 0.0546819 0.05650086 0.054959133 0.05616994 0.055813525 0.05812726 0.055945493 0.05558898 0.05584512 0.057428934 0.056406282 0.057418935 0.058132563 0.06037172 24241.0 6.539293 158519.0 0.010434081 0.0076457714 0.0078097894 0.007317735 0.009538289 0.008491096 0.008308153 0.0077340887 0.008371236 0.008541563 0.0081189005 0.008440629 0.0078539485 0.008573105 0.011374031 0.008522638 0.009115626 0.009185019 0.009500438 0.009115626 0.0088065155 0.008655114 0.008825441 0.008730815 0.008528946 0.008358619 0.008270302 0.008724506 0.009033618 0.009519364 0.008781281 0.008661422 0.009525672 0.011090153 0.008030583 0.01000511 0.014130798 0.009998801 0.009979877 0.009904175 0.008522638 0.010181745 0.008194601 0.008383853 0.009449971 0.01039623 0.009386888 0.009607681 0.011310947 0.00906516 0.010459314 0.012364448 0.009683382 0.0096266065 0.010364688 0.009967259 0.009052543 0.008875907 0.008409087 0.008453245 0.0084469365 0.008850674 0.009077776 0.010301604 0.008194601 0.017373312 0.011872394 0.012225664 0.013827995 0.026665574 0.011683142 0.010913518 0.011689451 0.018344805 0.008308153 0.009361654 0.018395271 0.012761877 0.01667308 0.01874854 0.01326024 0.007917032 0.0196191 0.015972849 0.020319331 0.013007904 0.010181745 0.01039623 0.011159546 0.010276371 0.008875907 0.008352311 0.008156751 0.008516329 0.008686656 0.008276611 6.5258374 3.0 4.0 0.0 62.0 5003089.0 401408.0 0.0 0.0 296.0 0.0 1.0 0.0 0.0 0.0 1210390800.0 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 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 294912.0 4096.0 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 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -294912.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.657517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.082752 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.603946 0.0 6.153797 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -290898.0 0.0 27824.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 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 -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 -1.0 -1.0 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 -1.0 0.0 -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 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -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 0.0 0.0 0.0 -2.0 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 2.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -2.0 0.0 0.0 0.0 -1.0 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 -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 1.0 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 -1.0 0.0 0.0 -2.0 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 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 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 1.0 1.0 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 -1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 -2.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 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 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 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 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 0.0 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 -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 -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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 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 1.0 0.0 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 -2.0 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 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 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 332744.0 27824.0 372736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1228.0 299008.0 0.0 0.0 0.0 0.0


Input: 0.24737723 0.009785519 0.0052940273 0.0022876596 0.0025271645 0.004381011 0.0026065488 0.0014708313 0.00528746 0.0010306443 0.0047821817 0.0009904692 0.0014507439 0.0015886524 0.0010227251 0.003464711 0.0043311785 0.00082146365 0.00068683864 0.00079712685 0.0008819194 0.0053374856 0.00065651425 0.00074304506 0.0013230722 0.0036970694 0.0031166559 0.001128571 0.0015334117 0.0014480398 0.0014437905 0.0016427342 0.016998097 0.0019637481 0.002117495 0.0007225713 0.013918913 0.0006323706 0.00034380562 0.004334462 0.0015838237 0.001247744 0.0010163513 0.0010671495 0.0017800633 0.00093078613 0.0005284563 0.0004481062 0.0055364296 0.001012102 0.00082416774 0.0039213155 0.0007689271 0.00045525274 0.0004394145 0.0006760223 0.0032924218 0.0011845842 0.0057664705 0.0012112388 0.0017582375 0.00090104114 0.0020831143 0.00091359584 0.004635002 0.0020788652 0.0013396831 0.001564895 0.0039278828 0.0034293646 0.0008483114 0.00077916397 0.04159855 0.0056633283 0.0006167255 0.0030137075 0.00720717 0.001529935 0.00046877319 0.0005925818 0.004766537 0.00036872187 0.0015436487 0.000688577 0.0037163843 0.0017060871 0.00046587593 0.0007799366 0.0014631054 0.0002719541 0.0005576218 0.0018163753 0.0016720928 0.0016794326 0.0004566048 0.018577866 0.0021980382 0.0074455165 0.0031131792 0.0065137646 0.003286241 0.012595454 0.006952213 0.0043703876 0.0040684952 0.008638406 0.00034708917 0.0017657703 0.008182961 0.006985628 0.007873342 0.010900184 0.011354663 0.00040735173 0.011717011 0.011918273 0.020544318 0.007880875 0.0025196318 0.00063623354 0.0021580562 0.0041332003 0.00028972383 0.00066076353 0.00074999843 0.00034824805 0.00034148784 0.00040542023 0.003515316 0.0006596046 0.00045544587 0.007221077 0.0011602474 0.0034923311 0.0002267572 0.00023429001 0.00065651425 0.0071772323 0.002403356 0.021099815 0.0006955304 0.008334002 0.00032275237 0.0002570816 0.0036968763 0.00029049645 0.0003526905 0.0010375977 0.00047321562 0.000337818 0.00021652029 0.00022212161 0.00078283384 0.00026770483 0.0002499351 0.0002883718 0.0005234344 0.00027446504 0.00035790552 0.0002570816 0.0013545555 0.00041333935 0.00035964386 0.00041797492 0.0004036819 0.0012054443 0.00034979326 0.00035384938 0.00089196314 0.00038958198 0.0004187475 0.00040870378 0.0005431356 0.00037741358 0.00043844874 0.000372778 0.0011471133 0.00029918816 0.0003161853 0.00026384185 0.00027852118 0.00030536894 0.0002507077 0.00023873245 0.0007756873 0.0033474693 0.00047495397 0.0003519179 0.00038707105 0.00025688848 0.0002993813 0.00023795984 0.0057305447 0.0021694521 0.0015546582 0.002935289 0.0029103726 0.00029165533 0.00037606154 0.002332277 0.00517891 0.0014762395 0.0009792666 0.0007613943 0.10513267 0.00027098836 0.0005124249 0.00074053416 0.0028170815 0.00034670287 0.0010149992 0.000520344 0.00027330616 0.00029957446 0.0002777486 0.00023100647 0.0011515557 0.0003397495 0.0027282329 0.00087747694 0.0008023419 0.0002962909 0.00036814244 0.00033183038 0.0013304119 0.0003428399 0.0003005402 0.00040406818 0.00046761427 0.0003915135 0.00039054774 0.00034206727 0.008632225 0.0011857431 0.0017574648 0.002057812 0.002828091 0.0003609959 0.0003880368 0.0003519179 0.0015828579 0.000627735 0.00075482717 0.0009765625 0.0006634676 0.00068992906 0.00086414965 0.0009058699 0.0028757988 0.00086878525 0.00056206423 0.0014696724 0.00062947336 0.0018132849 0.0013068477 0.03393574 0.017009672 8.6934347e-07 5.795623e-07 5.795623e-07 1.7386869e-06 5.795623e-07 7.7274973e-07 2.8978116e-07 1.0625309e-06 0.0 1.3523121e-06 2.8978116e-07 0.006126167 1.9318743e-07 2.8978116e-07 9.659371e-07 0.00094458996 1.7386869e-06 4.443311e-06 4.829686e-06 1.1494652e-05 1.3523121e-06 1.1591246e-06 9.659371e-07 1.1591246e-05 9.659371e-07 1.0625309e-06 2.414843e-06 0.00019270447 1.9318743e-06 1.9318743e-06 3.767155e-06 0.0012800599 2.8978116e-06 7.1479353e-06 4.2501238e-06 2.2313148e-05 7.244529e-06 1.323334e-05 6.858154e-06 2.3279086e-05 1.5454995e-06 1.6420933e-06 1.4489058e-06 1.5454995e-06 6.471779e-06 2.8012178e-06 2.028468e-06 0.001264605 6.568373e-06 1.0915091e-05 1.8159619e-05 2.4631398e-05 8.693435e-06 1.0721903e-05 8.790028e-06 2.830196e-05 3.5739677e-06 5.3126546e-06 9.85256e-06 0.0003523739 4.7330923e-06 7.3411225e-06 1.584137e-05 0.0023257835 2.8205366e-05 3.9603427e-05 3.1779335e-05 9.1570844e-05 2.1636994e-05 3.6995396e-05 3.332483e-05 8.422972e-05 1.014234e-05 1.168784e-05 9.755966e-06 0.00017753926 2.0671056e-05 2.15404e-05 2.2892711e-05 0.004696966 9.736647e-05 0.00014324849 0.00020506847 0.00018410763 3.5739675e-05 3.7574955e-05 2.598371e-05 8.751391e-05 0.00010383825 5.216061e-05 6.442801e-05 0.00037922693 6.5297354e-05 5.061511e-05 0.00010123022 0.024201557 0.0009453627 0.0009625564 0.0013431357 0.0016385192 0.0003676357 0.000421052 0.00033257218 0.00032378215 0.0008909805 0.00024032517 0.00022033027 0.00022689864 0.0002292169 0.0002446719 0.00025017772 0.006162003 0.0003506352 0.00026901352 0.00022738162 0.00032648677 0.00014585651 7.775794e-05 7.1575945e-05 0.00039555127 0.00012267403 9.118447e-05 9.147425e-05 0.00022998964 0.00016015238 8.529225e-05 0.00029287217 0.13354294 0.010939528 0.009377995 0.0067774984 0.0047573373 0.009068218 0.023975912 0.01798662 0.005043351 0.0016370703 0.0022630943 0.0015763129 0.0015146862 0.0044821417 0.0015619204 0.0125774685 0.047272485 0.0007103502 0.016505549 0.006779237 0.0009520277 0.013694671 0.06405613 0.047283303 0.00027307044 8.384335e-05 0.000118810276 8.2974e-05 0.00029605976 0.00020931859 9.804263e-05 0.00079284125 0.0005233448 0.000108088374 2.5597335e-05 5.583117e-05 3.5739675e-05 2.9267896e-05 4.201827e-05 3.013724e-05 3.8251113e-05 1.4585652e-05 0.00022235874 1.9125557e-05 2.830196e-05 3.6029458e-05 3.400099e-05 0.00014208937 0.00057299394 0.00018864754 0.00024824587 0.00013049811 0.00043901845 0.00016169788 0.00017261297 0.00013204361 0.00037169264 0.00010142341 0.0019741824 9.2826565e-05 0.0008244274 0.000106253094 0.00022554633 0.00019260787 0.02893716 0.0072535123 0.010676407 0.0075905276 0.03579483 0.008459388 0.0033517054 0.0047098133 0.02577101 0.003119784 0.001547045 0.0034221222 0.06576593 0.0032385942 0.009776154 0.018172562 0.026476048 0.008952016 0.011347927 0.0075582652 0.035008173 0.008531157 0.0030491739 0.0054516527 0.025450995 0.0035264434 0.0021668868 0.0036363672 0.05723323 0.00411412 0.009421461 0.017947499 3.245549e-05 5.3126546e-06 2.0864243e-05 2.2119963e-05 1.661412e-05 3.4773739e-06 2.5114366e-06 3.1875927e-06 1.8352806e-05 1.3329934e-05 2.8012178e-06 2.414843e-06 2.704624e-05 2.8978116e-06 2.7046242e-06 2.1733587e-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 22575.0 47.2 1065540.0 0.06528896 9.3849127e-07 2.8154739e-06 0.0 0.006943897 1.0323404e-05 0.00015203559 0.01886649 0.004150947 0.0041406234 0.0030172495 0.0022383018 0.0059894514 0.0025433113 0.0005612178 0.0004523528 0.0002496387 0.0028971226 0.0017531017 0.0045610676 0.00012294237 1.8769825e-06 0.00011637292 4.6924565e-06 0.0008202414 1.5954352e-05 0.024426112 0.00032565647 0.0033156897 0.00048989244 0.0057970607 0.00040542823 0.0026146367 0.0013880286 1.8769826e-05 0.0009600766 0.0022964883 0.0031871165 5.1617022e-05 3.660116e-05 0.0023255814 0.0006719598 5.6309477e-06 2.7216247e-05 0.0034376935 7.883327e-05 2.8154738e-05 0.0015954352 0.0017925183 5.255551e-05 2.4400773e-05 0.00013138878 0.00019989864 4.598607e-05 0.00080053305 0.001018263 0.000215853 6.569439e-06 0.00010135706 4.6924565e-06 0.0018366275 6.569439e-06 0.00022429942 0.087692626 2.6277756e-05 0.034437936 0.013617508 0.027151491 0.0140754925 0.059704937 0.029956643 0.020125946 0.012789759 0.040739905 0.00039041237 0.007179458 0.0373482 0.032671697 0.036606792 0.051584173 0.04568294 0.00014546615 0.05314864 0.054539483 0.08905625 0.033489123 0.010267095 0.0018957524 0.005266813 0.014298853 0.0001304503 0.0 0.0005706027 0.0 9.3849127e-07 0.0005612178 4.8545895 2.0 0.0 0.0 5.0 5177344.0 5210112.0 1.0 1.0 260.0 1.0 1.0 0.0 1.0 0.0 1541384100.0 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 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 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 14.0 0.0 6.0 0.0 6.0 0.0 2329088.0 1024.0 4096.0 10.0 0.0 0.0 1.0 2.0 0.0 0.0 -1024.0 0.0 0.0 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 2469376.0 0.0 0.0 0.0 0.0 159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2329600.0 -21504.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.014213046 0.0 0.0 -3.996958 0.0 0.0 0.0 0.0 0.0 0.0 -0.25630435 0.0 4.612229 0.0 0.0 0.0 0.0 5.9717484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.088369 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8793983 -4.4384427 2.818749 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -777.0 0.0 0.0 -37677.0 0.0 0.0 0.0 0.0 0.0 0.0 -283.0 0.0 2469031.0 0.0 0.0 0.0 0.0 159528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -160105.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2329294.0 -21236.0 1084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 -1.0 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 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 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 -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 0.0 1.0 0.0 -1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 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 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 1.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 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 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 -2.0 0.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 359.0 4803392.0 320.0 5131952.0 1084.0 5165056.0 144756.0 4968448.0 0.0 0.0 22564.0 5169152.0 56.0 3825968.0 0.0 0.0 0.0 0.0 40.0 3846040.0 148.0 3826032.0 0.0 0.0 3760.0 5128192.0 0.0 0.0 0.0 0.0