Input: 0.14666806 0.012866648 0.014274479 0.013135176 0.011997069 0.010387692 0.009780063 0.012467144 0.016682863 0.0060876454 0.008504403 0.0045344857 0.0113266455 0.0019993123 0.0040183603 0.004450159 0.0051098187 0.0017870012 0.0021847107 0.0016960962 0.0031344288 0.0032648058 0.0015956222 0.0011847555 0.0024293168 0.0011620292 0.0010478 0.0012056875 0.0022008582 0.0015764843 0.0017062632 0.0010723203 0.004436404 0.0010609572 0.0013833111 0.0011476758 0.0035446975 0.0017786283 0.0014718239 0.0009024715 0.001714038 0.00097603275 0.0009622774 0.001523257 0.0014790007 0.0009156288 0.0016255252 0.0013187208 0.011928891 0.0018486013 0.0022905672 0.004356264 0.0019861548 0.0018701315 0.0015842591 0.0015543561 0.0022833904 0.0025740473 0.0019646247 0.0035769925 0.0023186759 0.0019490753 0.0015621309 0.0016871253 0.0043018404 0.0023581479 0.0017493234 0.0020704812 0.003286934 0.0073136673 0.0030925646 0.0017732459 0.0025650763 0.0017182244 0.001048996 0.0010274659 0.0024436703 0.0041002943 0.0032552367 0.0026966494 0.0074494267 0.004316194 0.0034950585 0.0049555195 0.00344841 0.005542814 0.005194145 0.0044836504 0.0032187551 0.0032863359 0.0024646025 0.0030339549 0.0031398113 0.003995634 0.0039794864 0.003964535 0.0033150427 0.005224646 0.0033036796 0.0040063993 0.0042737317 0.008176667 0.0046558916 0.0032552367 0.0056121885 0.005294619 0.0052294303 0.0028102805 0.004759356 0.0034848915 0.004902292 0.0051169954 0.0041152462 0.002510055 0.00585201 0.0046732356 0.01061316 0.008327976 0.003540511 0.0029885024 0.0034639596 0.0030584752 0.002733729 0.0024245323 0.0033503282 0.0038174125 0.0031990192 0.0025889988 0.0043712156 0.003216961 0.0028742729 0.0072257523 0.0037970785 0.0072747935 0.0030213955 0.0025644782 0.0032438736 0.008536698 0.0028934109 0.01924794 0.0028066924 0.0067413244 0.002583018 0.002301332 0.0056803674 0.0025357713 0.0024018062 0.0024071888 0.0025184278 0.002570459 0.0028150652 0.0023892468 0.0026769135 0.0024376898 0.002370707 0.002349775 0.002631461 0.0025668705 0.0022576738 0.0019706055 0.0016159562 0.001654232 0.001230806 0.0013025731 0.0013863015 0.0011829613 0.0012254235 0.0013725461 0.0015471794 0.0010663398 0.0011680098 0.0013121421 0.0015663173 0.0010860757 0.001048996 0.0014514899 0.0015794747 0.0011303321 0.0012266196 0.0011004291 0.001442519 0.0017331758 0.0015944261 0.0015065114 0.0018563761 0.0010627514 0.0011153806 0.0011530584 0.0013689577 0.001260709 0.0012959945 0.0013552024 0.005960857 0.002269635 0.0027175813 0.0022546835 0.002047157 0.0011422932 0.0018444149 0.0028629098 0.00191678 0.0021237086 0.0012009031 0.0011919321 0.0020609123 0.0011787749 0.0012559246 0.0012493458 0.0018228848 0.0012870237 0.0013384568 0.0012912101 0.0014275676 0.0010340445 0.0013731441 0.0012786508 0.0018366401 0.0014365384 0.0010101221 0.0014694317 0.0015693076 0.0012660915 0.0010806931 0.0011111941 0.0021243065 0.0011524602 0.0011046155 0.0011285379 0.0017379603 0.0011739904 0.0009879939 0.001150068 0.007512223 0.0018880732 0.0010113183 0.004621204 0.003752822 0.0010765067 0.0011327243 0.0012619051 0.0024376898 0.0012906119 0.0010729184 0.0011422932 0.0021637785 0.0009359628 0.0016297116 0.0016416728 0.0030429256 0.0025578996 0.0013270936 0.0015250512 0.0040063993 0.0017361662 0.0028712826 0.07004889 0.014678974 1.886065e-05 2.993754e-07 5.987508e-07 9.879388e-06 2.993754e-07 2.993754e-07 2.993754e-07 1.7962523e-06 2.993754e-07 0.0 5.987508e-07 5.987508e-07 2.993754e-07 1.1975015e-06 5.987508e-07 0.0029138206 6.167133e-05 5.688132e-06 8.9812613e-07 2.6943785e-06 2.0956277e-06 2.993754e-07 2.0956277e-06 3.5925045e-06 0.0 0.0 0.0 8.9812613e-07 2.993754e-07 5.987508e-07 7.0951966e-05 0.0010738595 0.00010538013 1.0777514e-05 9.580012e-06 2.3650655e-05 0.0 2.993754e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.6943785e-06 0.0041101244 0.00038589488 0.00016315958 3.382942e-05 2.6045658e-05 2.0357526e-05 2.1854403e-05 1.5866895e-05 2.8740036e-05 1.6465647e-05 1.4070643e-05 1.1975016e-05 1.3172516e-05 1.1076889e-05 1.6465647e-05 1.5866895e-05 0.0053070276 0.00015717208 0.00020297652 0.00015777083 0.00018261898 0.0002493797 9.669825e-05 0.00022363341 4.4906308e-05 1.3172516e-05 9.580012e-06 1.3172516e-05 2.9338787e-05 1.3172516e-05 1.9758776e-05 2.3950031e-05 0.014551739 0.0006113245 0.00027572474 0.00021105964 0.0005382769 0.00025207407 0.00029458536 0.00022752529 0.0001823196 0.00010807451 0.00012364204 0.00012004953 0.00015357957 0.00012304328 0.0008747749 0.00035895107 0.011315491 0.0002359078 0.0001398083 0.00019758775 0.00019788713 0.00094033807 0.0024240424 0.00011466077 6.586259e-05 3.622442e-05 4.4307555e-05 4.520568e-05 0.00012663579 0.00015208269 9.669825e-05 0.0034871246 0.039841175 0.0010816433 0.000737661 0.0009199806 0.0015295089 0.001276836 0.0030272838 0.0033269587 0.0011139758 0.00021255652 0.00068257586 0.00097117375 0.0011157721 0.00096997624 0.0012582748 0.0142829 0.057416607 0.0023294399 0.0013825155 0.0011807365 0.0036014859 0.0015339995 0.00720866 0.004948675 0.002481223 0.004616668 0.003761951 0.0030227932 0.0028859787 0.002154904 0.002280941 0.022430701 0.019100448 0.0015645358 0.0015130432 0.0012462997 0.0020809583 0.0013603617 0.005854286 0.003405395 0.0006529377 0.0009954232 0.00074035535 0.0003685311 0.0006119233 0.0005394744 0.00095410936 0.0019303724 0.013111744 0.0006301852 0.0018321774 0.0014313137 0.0025892977 0.0016271052 0.005485455 0.0035173614 0.00046013997 0.0011774434 0.00046792373 0.0003296123 0.0004900775 0.0002796166 0.00036583672 0.0011525953 0.010536217 0.0011804372 0.0020258732 0.010135952 0.0019279774 0.0024590695 0.00417479 0.0023045917 0.0012564785 0.001583097 0.0014675382 0.0011313396 0.0010924208 0.0011094852 0.0011023001 0.0012702497 0.01373654 0.0015013675 0.0016064483 0.0027949687 0.0028156254 0.0032664847 0.003890383 0.0030308764 0.0047567757 0.0015387895 0.0015893839 0.0013337174 0.0021465216 0.0014843032 0.0020908376 0.005145365 0.040885396 0.00849807 0.0056076003 0.00890043 0.012842306 0.01697159 0.010811044 0.013402437 0.029827368 0.0073652333 0.0033233662 0.004918139 0.009636894 0.005048068 0.009503971 0.022758517 0.039810937 0.013612299 0.010306896 0.017635604 0.016068075 0.03555921 0.029445065 0.032254703 0.041451514 0.024609255 0.008751042 0.009302192 0.0147143 0.009509659 0.014052082 0.026264802 0.0007023346 0.00037511735 0.000393978 0.0004706181 0.00036912985 0.0004742106 0.0006616196 0.0004930713 0.00041044364 0.00032182853 0.00023650656 0.0002092634 0.00026524658 0.00023560843 0.00020686838 0.0003053629 12532.0 13.438238 168408.0 0.021067882 0.0037112252 0.0036637215 0.003147119 0.004750368 0.0059973397 0.002844283 0.0026008266 0.0038418602 0.00328963 0.002832407 0.0029392904 0.005059142 0.0033193198 0.0075055817 0.003717163 0.013455418 0.0068999096 0.007826231 0.006745523 0.006246734 0.005344164 0.005920146 0.00503539 0.006698019 0.0055816825 0.005658876 0.005373854 0.005700442 0.0054629236 0.0053976057 0.006893972 0.0055994964 0.010076718 0.003847798 0.010379555 0.013164458 0.008247826 0.0076243407 0.007434326 0.0064486247 0.008657546 0.002701772 0.0036043418 0.005860767 0.0059142085 0.009476985 0.009542302 0.012891311 0.008188447 0.01039143 0.015367441 0.011234621 0.007885611 0.010575507 0.012350957 0.008930692 0.007434326 0.007078049 0.006543632 0.008663484 0.007012731 0.0068405303 0.013188209 0.0071077384 0.028810984 0.011204931 0.01955964 0.018205786 0.05583464 0.013746378 0.013366348 0.014922094 0.030236093 0.0076659066 0.008699112 0.021507291 0.015070543 0.027843095 0.029381027 0.016091872 0.007202746 0.033751365 0.02252862 0.04159541 0.015824664 0.009726379 0.009803573 0.012048122 0.011365256 0.006460501 0.0054451097 0.0077490383 0.006086409 0.00803406 0.0054391716 6.2246814 1.0 44.0 16.0 24.0 1672075.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 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 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 0.0 0.0 0.0 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0107484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.251338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.12007131 0.009844274 0.006383704 0.0028838087 0.00390625 0.002778943 0.0045354445 0.0027658348 0.0024119127 0.0018482592 0.005636535 0.0032901636 0.0022283976 0.0022939388 0.002660969 0.0023856964 0.0017302852 0.0023332634 0.0026871853 0.0019924496 0.0019793415 0.0024774538 0.0020579908 0.0020186661 0.0019793415 0.0019269085 0.0019793415 0.0019662331 0.0021104238 0.001481229 0.002896917 0.004666527 0.0057020765 0.0023332634 0.0076814177 0.0020579908 0.0019924496 0.0035785444 0.0026216444 0.003198406 0.009621435 0.0019924496 0.0030935402 0.0025036703 0.0029231333 0.002071099 0.004181523 0.002542995 0.002542995 0.0027134018 0.0016254195 0.0019138004 0.0019793415 0.002189073 0.0019138004 0.0022152895 0.00213664 0.0033425966 0.0038144924 0.0027265102 0.008900482 0.0022415058 0.0026871853 0.0034081375 0.0015205537 0.002844484 0.0020448826 0.0030542156 0.0015860948 0.0024643457 0.0028182676 0.0032901636 0.0015467701 0.0029493498 0.0022939388 0.0025036703 0.0016254195 0.0033425966 0.0022677223 0.0030017828 0.002189073 0.0020579908 0.0026740772 0.0042208475 0.0025561033 0.0022415058 0.0024905622 0.0023332634 0.0022283976 0.0019924496 0.0024905622 0.0020842073 0.001835151 0.0017302852 0.0020842073 0.0045878775 0.0009700084 0.0060166735 0.0033688128 0.0054136952 0.0031852978 0.012321728 0.0023332634 0.004142198 0.0024905622 0.0073668202 0.002792051 0.0027396183 0.004548553 0.0045878775 0.0057020765 0.009319945 0.0031852978 0.001835151 0.006921141 0.0070128986 0.009031565 0.004522336 0.0019662331 0.0023856964 0.0035654362 0.0036440855 0.0017433935 0.0022283976 0.003434354 0.0026871853 0.0064885695 0.0043519298 0.0027265102 0.0016778524 0.0017302852 0.0018613675 0.0016254195 0.0022152895 0.0020973154 0.0026478607 0.002005558 0.0020448826 0.0019006921 0.002372588 0.0021759649 0.0024643457 0.0019138004 0.002595428 0.00093068375 0.001533662 0.0019269085 0.0022808306 0.0024774538 0.0025167784 0.0024905622 0.0032246225 0.002595428 0.0028707006 0.0030935402 0.0029362417 0.002542995 0.0025823195 0.0025692114 0.0032115143 0.0022283976 0.0018613675 0.0016123112 0.0027134018 0.0022152895 0.0031721897 0.0021759649 0.0033688128 0.0019138004 0.002660969 0.001835151 0.002595428 0.0021628565 0.0025036703 0.0018744756 0.0031066486 0.0016909606 0.002071099 0.0020186661 0.0024643457 0.002372588 0.002844484 0.0024512375 0.0035261116 0.002962458 0.0021759649 0.0021628565 0.0022939388 0.0029100252 0.0021628565 0.0026740772 0.0036309774 0.0016385277 0.0025167784 0.0025823195 0.0030017828 0.0030411074 0.0024512375 0.0025298868 0.002123532 0.001415688 0.0022677223 0.0024643457 0.0020186661 0.0018482592 0.0024381292 0.0020186661 0.0025298868 0.0013763632 0.0020186661 0.0019793415 0.0026740772 0.0020317743 0.0023463715 0.0026216444 0.0027527264 0.001835151 0.0022415058 0.0027658348 0.0025298868 0.0018089346 0.0021104238 0.0024119127 0.0026871853 0.002896917 0.004260172 0.004207739 0.0029231333 0.0017040687 0.0023988045 0.0023201553 0.0024774538 0.0018220427 0.0022283976 0.0023463715 0.002123532 0.0021104238 0.0026740772 0.0020579908 0.00235948 0.0048893667 0.0045354445 0.0026347525 0.0023201553 0.0023201553 0.0025561033 0.0027527264 0.0024512375 0.0059511326 0.002608536 0.003080432 0.003735843 0.0051253145 0.0034081375 0.0058724834 0.14160812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.688784e-05 6.688784e-05 6.688784e-05 0.0011772261 0.00040801583 0.0005618579 0.0003478168 0.00023410744 0.0002541738 0.010514769 0.0055048694 6.688784e-06 2.6755137e-05 3.344392e-05 4.0132705e-05 5.3510274e-05 0.00010702055 9.364298e-05 6.688784e-05 0.001143782 0.00052172516 0.00078258774 0.00033443922 0.0003478168 0.00040132707 0.017932631 0.0069362693 8.026541e-05 0.00057523546 0.0002140411 0.0026487585 0.0017591503 0.013665186 0.008280715 0.0003478168 0.0013979559 0.0007223887 0.0010367616 0.0006421233 0.00048828125 0.00052172516 0.015477846 0.036400363 0.003745719 0.003999893 0.00121067 0.0024748503 0.0021872325 0.008655286 0.00610686 0.00076921016 0.00060199056 0.00030768407 0.00031437285 0.00039463828 0.0005016588 0.0002073523 0.00061536813 0.023477633 0.0016186858 0.004795858 0.0026755137 0.0025818706 0.0013912672 0.008227205 0.005926263 0.0013578231 0.0022541203 0.001518354 0.0023745184 0.0018795484 0.0013778895 0.0017591503 0.03267471 0.0375107 0.002789223 0.0037323416 0.0024882278 0.004026648 0.0022072988 0.008387735 0.006354345 0.0019263698 0.0023410744 0.0018728595 0.002013324 0.0019932578 0.0019932578 0.0024681613 0.013785584 0.01981218 0.002327697 0.008615154 0.005792487 0.0023812072 0.0023945847 0.008180384 0.006180437 0.0024146512 0.0029831978 0.0025818706 0.0032106165 0.0028092894 0.0028026006 0.0031838613 0.033918824 0.0030099528 0.001364512 0.012166899 0.0075048157 0.0018929259 0.0014782213 0.0023009419 0.0022139875 0.002173855 0.002140411 0.0020668344 0.0031102847 0.00291631 0.002943065 0.0031771725 0.03173159 0.0050634095 0.00062205695 0.00066887843 0.00056854665 0.0006421233 0.0006421233 0.000929741 0.0006956336 0.0005150364 0.00048828125 0.0005016588 0.00043477098 0.00036788313 0.00048828125 0.00040801583 0.0006621896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027671501 0.024240155 0.02338399 0.02619328 0.022895709 0.028340379 0.026293611 0.029156411 0.02502943 0.026039436 0.028260114 0.027350439 0.025932416 0.025731754 0.02932363 0.042513914 637.0 15.034537 9577.0 0.018377362 0.009919599 0.05074658 0.0029236714 0.0031325049 0.00824893 0.009188681 0.011277018 0.049597993 0.002506004 0.0041766735 0.0026104208 0.005116425 0.0032369217 0.01681111 0.0026104208 0.0067870943 0.0069959275 0.0022971702 0.0034457555 0.0034457555 0.0033413386 0.0020883367 0.0028192545 0.0020883367 0.006369427 0.011381434 0.011903519 0.053252585 0.006369427 0.00428109 0.003028088 0.0020883367 0.009606348 0.0059517594 0.012112352 0.0065782606 0.0065782606 0.0067870943 0.003863423 0.0029236714 0.007831262 0.0020883367 0.0033413386 0.0035501723 0.008875431 0.0031325049 0.0040722564 0.005116425 0.0020883367 0.0052208416 0.014722773 0.0054296753 0.003863423 0.00428109 0.0027148377 0.0022971702 0.0022971702 0.0015662524 0.0015662524 0.0020883367 0.001253002 0.0009397515 0.012425603 0.0010441684 0.024433538 0.011381434 0.0204657 0.011903519 0.067766525 0.005116425 0.012321186 0.005116425 0.03362222 0.0031325049 0.0041766735 0.020152448 0.017959695 0.02902788 0.036650307 0.010128433 0.001879503 0.03403989 0.034770805 0.05314817 0.019317115 0.004803174 0.0049075913 0.0043855067 0.0134697715 0.0031325049 0.0015662524 0.00073091785 0.0014618357 0.019003863 0.0013574188 5.778468 1.0 0.0 0.0 3.0 76288.0 98304.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2614137900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 61440.0 512.0 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 -61440.0 0.0 13824.0 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 -7.263161 0.0 4.963085 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 -60996.0 0.0 13732.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 69097.0 13732.0 73728.0 0.0 0.0 0.0 0.0 12.0 90112.0 56.0 68920.0 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: 0.13679971 0.0065627024 0.0058947946 0.0045943977 0.0040125083 0.0042553837 0.0046601766 0.0037544528 0.0037898722 0.0031624434 0.004862573 0.0032636416 0.0032231621 0.0033243604 0.003288941 0.0032636416 0.0030157058 0.003521697 0.0036127754 0.003678554 0.00278801 0.0033142406 0.0036380747 0.0031573835 0.0032282223 0.0028790885 0.002681752 0.0029499272 0.0028183695 0.0028639087 0.003177623 0.003238342 0.0050649694 0.0029448671 0.0029701667 0.0033193005 0.0029802865 0.002904388 0.003956849 0.0030966646 0.0036431346 0.0028942681 0.0035065173 0.0029904065 0.003177623 0.0038050518 0.0039821486 0.0035014572 0.0040125083 0.0033850793 0.0035571163 0.0040479274 0.003739273 0.004311043 0.0036431346 0.0037190334 0.0049840105 0.0037595127 0.0033597797 0.0033041209 0.0032484618 0.0033800195 0.0032737614 0.003400259 0.0030916047 0.0034913374 0.0032788212 0.0033344803 0.0033344803 0.0033648396 0.003288941 0.0032940009 0.0031978628 0.003577356 0.0030410055 0.0032231621 0.0030612452 0.0034204987 0.0031725632 0.0032484618 0.0031624434 0.0029904065 0.0036633743 0.0037139733 0.0033243604 0.0029904065 0.0033243604 0.003116904 0.0032737614 0.0033193005 0.0029094478 0.002904388 0.0025653741 0.0030410055 0.003020766 0.0035267568 0.003071365 0.0041390057 0.0035014572 0.004022628 0.0037240933 0.006087071 0.0034862775 0.0035469965 0.0032687015 0.0043920013 0.0032434019 0.0033547198 0.0041997246 0.0036583145 0.0046702963 0.005758177 0.0038354113 0.0033041209 0.0049131718 0.004897992 0.005403983 0.004063107 0.003400259 0.003516637 0.003405319 0.0036431346 0.0031624434 0.0033243604 0.0030511252 0.0032940009 0.0031067843 0.0036380747 0.0033648396 0.002838609 0.0029195677 0.0025350146 0.0028588488 0.0025046552 0.0027981298 0.0028639087 0.002727291 0.0029296875 0.0028790885 0.002848729 0.003020766 0.0028234294 0.0026513925 0.0029246276 0.0027829502 0.0026615122 0.0028689685 0.0032079825 0.0027778903 0.003005586 0.0027019915 0.0030410055 0.0028436692 0.0027778903 0.0029145079 0.003071365 0.0028436692 0.0031219642 0.0031573835 0.0030410055 0.0028335492 0.0028689685 0.0029499272 0.0028841484 0.002960047 0.003066305 0.0029499272 0.0032282223 0.0027019915 0.0032181023 0.0028284893 0.0029246276 0.0030612452 0.003071365 0.0033698997 0.003192803 0.0028689685 0.0031675033 0.002960047 0.0033395402 0.002954987 0.0027829502 0.0030258258 0.0035115771 0.0031523234 0.0030561853 0.003010646 0.0035621761 0.0032788212 0.0031573835 0.0033850793 0.003471098 0.0029651069 0.0030359456 0.0030764248 0.003177623 0.0034508582 0.003182683 0.0028740284 0.0033142406 0.0032231621 0.0033294202 0.0032231621 0.0031877428 0.003132084 0.0033243604 0.0033850793 0.0036481947 0.0033344803 0.0032838811 0.0032079825 0.0033344803 0.0032231621 0.003182683 0.003395199 0.0034963973 0.0031573835 0.003455918 0.0033041209 0.0029752266 0.003410379 0.0031877428 0.0032788212 0.0035115771 0.0030561853 0.002960047 0.0031118442 0.0030612452 0.003116904 0.0030561853 0.0029145079 0.0031573835 0.0029448671 0.0027981298 0.0029954663 0.0030865446 0.0029853466 0.002838609 0.0028031897 0.0030005262 0.0030410055 0.0032940009 0.002899328 0.0030511252 0.0030410055 0.0030359456 0.0030612452 0.0031472635 0.0030511252 0.0031017244 0.0028284893 0.0032585815 0.0032838811 0.003471098 0.006598122 0.016085451 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004816691 7.6293945e-05 8.392334e-05 3.560384e-05 3.8146973e-05 7.6293945e-06 4.0690105e-05 1.2715657e-05 4.0690105e-05 5.086263e-06 1.5258789e-05 5.086263e-06 7.6293945e-06 2.5431316e-06 1.0172526e-05 1.0172526e-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 0.004397074 0.00020599365 0.00017547607 0.00013478597 6.3578285e-05 2.5431314e-05 2.2888184e-05 2.0345053e-05 4.0690105e-05 1.780192e-05 2.7974447e-05 5.086263e-06 5.086263e-06 2.5431316e-06 5.086263e-06 5.8492024e-05 0.008295695 0.00017038982 0.00016021729 0.00044250488 4.0690105e-05 5.8492024e-05 2.7974447e-05 3.306071e-05 5.5948894e-05 5.086263e-06 3.0517578e-05 3.560384e-05 8.138021e-05 9.1552734e-05 8.9009605e-05 0.0007985433 0.0033772786 0.0 0.00030517578 0.00019582112 9.918213e-05 3.0517578e-05 0.00078582764 0.00039927164 2.5431316e-06 0.0 2.5431316e-06 7.6293945e-06 0.0 0.0 2.5431316e-06 0.0 0.014483134 0.00084177655 0.00069936115 0.00065612793 0.0003000895 0.00020599365 0.00031789145 0.00039927164 0.00029500326 0.00015513103 0.00017038982 0.00017801921 0.00024668375 0.00018056233 0.00016784668 0.0015360514 0.019714355 0.0017217001 0.0019632976 0.0017903646 0.00083414715 0.000289917 0.0008392334 0.00053151447 0.00024414062 0.00021616618 0.00039927164 0.00036366782 0.00031026205 0.00042470297 0.00022888184 0.0013783773 0.023569742 0.0016657511 0.0019378662 0.0030136108 0.00340271 0.0025838215 0.008115132 0.0053075156 0.00036875406 0.00036875406 0.00085194904 0.0010782877 0.0010884603 0.0007807414 0.0006128947 0.0025456746 0.03485616 0.0033772786 0.004007975 0.0038223267 0.0029322307 0.002532959 0.0057652793 0.004236857 0.0014139811 0.0008722941 0.0010579427 0.0012868246 0.0016810099 0.0012893677 0.000638326 0.0031458538 0.025227865 0.0012232462 0.0019226074 0.003229777 0.0014724731 0.0013173422 0.0030619304 0.0022125244 0.0011774699 0.00091552734 0.001818339 0.0023676555 0.002591451 0.002512614 0.0013453165 0.0048955283 0.007837932 0.00027720132 0.00053660077 0.0012461344 0.00042978922 0.00047302246 0.0005238851 0.00048573813 0.0005340576 0.000521342 0.00083414715 0.0010986328 0.001294454 0.0015411377 0.00058237714 0.0026168823 0.008529663 0.00026957193 0.0004526774 0.0011749268 0.0011342367 0.00074005127 0.0007298787 0.0007502238 0.00054677326 0.00084940594 0.0012079874 0.0014368693 0.0018819174 0.0023117065 0.00071461994 0.0033111572 0.0008239746 0.00021107991 0.00031789145 0.00036621094 0.0002822876 0.00034332275 0.0009536743 0.00063323975 0.00017801921 0.00011444092 0.00016530354 0.00015767415 0.00016276042 0.00015258789 0.00019582112 0.00015004475 0.03945923 0.040677387 0.042266846 0.043238323 0.041605633 0.0424881 0.04314677 0.045158386 0.040804546 0.043011982 0.04176076 0.0429128 0.042434692 0.043711346 0.043540955 0.046073914 1142.0 10.055166 11483.0 0.009753549 0.0036575808 0.0049638595 0.004441348 0.0031350693 0.0026125577 0.0033092396 0.0039188364 0.003396325 0.0032221545 0.0043542627 0.0046155187 0.0063572237 0.007924758 0.016981626 0.0052251155 0.011408169 0.009143952 0.009143952 0.01010189 0.011669424 0.011495254 0.010276061 0.007402247 0.009056867 0.0073151616 0.0041800924 0.0038317512 0.0053122006 0.006444309 0.004441348 0.004441348 0.0031350693 0.011233998 0.008882696 0.011582339 0.010624401 0.009840634 0.009231037 0.008708525 0.007576417 0.009318123 0.0068797353 0.0063572237 0.007750588 0.010972742 0.007837673 0.008534355 0.009840634 0.006444309 0.011321084 0.016981626 0.010450231 0.0069668205 0.0073151616 0.008186014 0.007924758 0.0076635024 0.005399286 0.0038317512 0.0024383871 0.0038317512 0.004441348 0.0082731 0.0038317512 0.024558043 0.01341113 0.020116694 0.015675345 0.05416703 0.009840634 0.013062788 0.008186014 0.028128538 0.008098929 0.009056867 0.022293827 0.015414091 0.028563963 0.030218584 0.013846556 0.007489332 0.03126361 0.03283114 0.042933032 0.021248803 0.010188975 0.007750588 0.010798572 0.015936602 0.0052251155 0.004789689 0.0046155187 0.0041800924 0.0038317512 0.0051380303 6.221177 0.0 0.0 0.0 1.0 197632.0 221184.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1408921300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 159744.0 512.0 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 -159744.0 0.0 36864.0 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 -7.8742437 0.0 4.757769 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 -159268.0 0.0 36404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 167376.0 36404.0 172032.0 0.0 0.0 0.0 0.0 12.0 212992.0 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: 0.28215328 0.01567183 0.008965026 0.00521012 0.007279842 0.003166788 0.014099746 0.0035098565 0.0042977836 0.003404297 0.0037435957 0.0051045604 0.002397711 0.0024278706 0.003671966 0.0050819404 0.0035023165 0.007125273 0.007147893 0.005036701 0.0019377726 0.0016701036 0.003664426 0.0024504906 0.0018925328 0.0013270349 0.0018623729 0.0017982832 0.0014439045 0.0009538064 0.0015042243 0.00262391 0.009210075 0.0014527012 0.0012780251 0.0040791244 0.0050781704 0.0018774528 0.0023876575 0.0008482468 0.008746367 0.0038491553 0.0016964936 0.0013647348 0.0033150741 0.0013999214 0.0027571162 0.0010103561 0.003638036 0.0018020532 0.0017869732 0.0017832032 0.001497941 0.0013948947 0.0014099746 0.0011347657 0.0012855651 0.001311955 0.00354253 0.0009311864 0.0035023165 0.0012202187 0.0031341147 0.0066226083 0.012350473 0.007166743 0.002411534 0.003117778 0.0034457669 0.0022645048 0.0014250546 0.0026465298 0.0016814136 0.0023273379 0.0029971385 0.0012591752 0.0014740644 0.0014816044 0.001564544 0.0012440953 0.0024655706 0.0012101654 0.0014552145 0.0016474837 0.002545997 0.0014929143 0.0016738736 0.001311955 0.004418423 0.001568314 0.0014376212 0.00079295365 0.0011536157 0.001304415 0.0009462664 0.008527707 0.002337391 0.011272257 0.002337391 0.0074721114 0.0055569587 0.008629497 0.0015494641 0.0024731106 0.0042073037 0.0075475113 0.0009123365 0.0010970659 0.0055569587 0.0030348385 0.0052817496 0.007408022 0.003664426 0.0015205608 0.011487146 0.0097341025 0.01566052 0.0030725382 0.0015004543 0.0025912367 0.002386401 0.0022280614 0.0016060139 0.0019076128 0.0013835847 0.0013534249 0.0019717026 0.0030084485 0.0054513994 0.0028312593 0.0011837755 0.0013622214 0.0008595567 0.0015532341 0.0007049873 0.00087840663 0.0012440953 0.0012252453 0.0010505693 0.0016776436 0.0013835847 0.0010103561 0.0010141261 0.0014816044 0.0015306142 0.0012742551 0.0011988555 0.0013308049 0.0013986647 0.0016512537 0.0014627544 0.0013270349 0.0014665244 0.0012252453 0.0011686955 0.0012252453 0.0014175146 0.0012026255 0.0011988555 0.0014816044 0.0021865917 0.0013886114 0.0010266928 0.0016210938 0.001234042 0.0010895259 0.0027407797 0.0012252453 0.0011913155 0.0008331668 0.00085201673 0.0007615371 0.0013308049 0.0009688863 0.0008746367 0.0009575763 0.0011649255 0.00061827764 0.0007653071 0.0013471416 0.0007640504 0.0008042636 0.0017756632 0.0010178961 0.0010103561 0.0010103561 0.0009085665 0.0011573856 0.001319495 0.001315725 0.0009236465 0.001579624 0.002329851 0.0009613463 0.0009311864 0.0012290153 0.0009726563 0.0008557867 0.000784157 0.0009839663 0.0014363645 0.0010706759 0.0011913155 0.0013496549 0.0032082577 0.0012478653 0.0012591752 0.0016223505 0.0019830125 0.0014288245 0.0019754726 0.001557004 0.0014702944 0.0016964936 0.0021501484 0.0016135538 0.0018623729 0.0016587937 0.0014665244 0.0014929143 0.0029192255 0.0015519775 0.003567663 0.0019679326 0.0030612284 0.002375091 0.0027143897 0.0027332397 0.0028010993 0.0027382663 0.0032798876 0.0035287065 0.0033213573 0.003630496 0.004501363 0.0025698736 0.002341161 0.001557004 0.0019754726 0.0022129815 0.0029518988 0.0021250152 0.0022582214 0.0019603926 0.0017266534 0.0016738736 0.0017379634 0.0028387993 0.0015117642 0.0012968751 0.0016889536 0.0013760447 0.0020621822 0.0020772622 0.0035915396 0.06071059 0.0012760753 0.0 0.0 6.292284e-06 0.0 0.0 0.0 0.0 0.0 6.292284e-07 0.0 6.292284e-07 0.0 1.2584568e-06 2.5169136e-06 1.2584568e-06 0.0024892276 6.292284e-07 2.5169136e-06 4.5933673e-05 5.6630556e-06 6.292284e-06 5.033827e-06 1.8876852e-06 2.5169136e-06 2.5169136e-06 0.0 2.5169136e-06 0.0 2.5169136e-06 7.550741e-06 2.5169136e-06 0.0035828266 0.0 0.0 6.292284e-07 0.0 8.809197e-06 1.8876852e-05 2.768605e-05 4.4045987e-06 1.2584568e-06 0.0 8.809197e-06 2.2022994e-05 2.2652222e-05 3.5866018e-05 0.00013213797 0.011065611 9.438426e-06 1.3213797e-05 1.6359938e-05 2.5169136e-06 2.2652222e-05 4.341676e-05 0.00017555473 3.523679e-05 4.4045987e-06 5.6630556e-06 2.0135309e-05 5.6630557e-05 5.914747e-05 0.00028818662 0.0010684299 0.0043259454 3.146142e-05 5.09675e-05 3.083219e-05 7.424895e-05 2.3281451e-05 5.159673e-05 4.4045988e-05 4.5933673e-05 7.550741e-06 1.0067654e-05 2.7056822e-05 4.719213e-05 4.5304445e-05 9.878886e-05 0.00024036526 0.004908611 1.8247623e-05 9.438426e-06 1.0696883e-05 5.033827e-06 3.0202964e-05 3.7124475e-05 0.00011137343 6.481053e-05 6.292284e-06 1.6359938e-05 2.5798365e-05 5.3484415e-05 9.3125804e-05 0.0002435114 0.00080918777 0.017804647 0.00010696883 8.494584e-05 5.159673e-05 0.0001994654 0.00016422862 0.00033349107 0.00046374134 0.00038257087 0.00012458723 0.00017995933 0.00017555473 0.0002969958 0.0005379903 0.0009966978 0.0025810949 0.026143182 0.0013547288 0.0020701615 0.0013509534 0.00077143405 0.0006990728 0.0037294368 0.0031228606 0.00064118375 0.00027497282 0.00030077118 0.0003674694 0.000526035 0.0010287885 0.0012634906 0.0027472114 0.058494963 0.0058147 0.009567418 0.009468 0.008941965 0.005968861 0.03128838 0.021588827 0.0013377396 0.00087336905 0.0015881725 0.0012433553 0.0016045325 0.0027012776 0.0040874677 0.009400044 0.13299246 0.015891792 0.01568981 0.007553258 0.012845069 0.007198373 0.010202939 0.010745963 0.0057033263 0.0061060325 0.0055856607 0.0029844304 0.0042208643 0.010807627 0.017407604 0.04205448 0.051170744 0.005966973 0.008753196 0.0047991253 0.010615713 0.0066257752 0.015368904 0.01344724 0.0029221368 0.004104457 0.0017347827 0.001589431 0.0030536456 0.0037395044 0.008731803 0.017170385 0.016025819 0.004913645 0.0026874347 0.0014616976 0.0019562712 0.0016901075 0.0046493686 0.0035708712 0.0014749113 0.00041780766 0.0005512041 0.00047695515 0.00080730004 0.00095768564 0.0009513934 0.0012219616 0.00844865 0.0013654256 0.0012527938 0.0016303308 0.0018857976 0.0009885179 0.0016498369 0.0011080712 0.0011552634 0.00043731375 0.0008431661 0.0007664002 0.00069781434 0.0010526992 0.0004052231 0.0007972324 0.0027006483 0.00022715145 0.0004498983 0.0003209065 0.00097530405 0.00037942475 0.00064747606 0.00046877516 0.00037816627 0.000523518 0.0002057577 0.00016485785 0.00044801063 0.00017681319 0.00082491845 0.0014176517 0.0029126983 0.00065188063 0.00043227992 0.00043290915 0.0008570091 0.0005694517 0.00041088616 0.00045996596 0.0007198373 0.00017240859 0.00022337609 0.00016045324 0.00058140705 0.0003920093 0.0005065289 0.0008261769 0.025157182 0.009643555 0.009332087 0.008858907 0.009754928 0.009610206 0.008322804 0.009817851 0.010077093 0.008533596 0.009059002 0.009478697 0.009031945 0.008777737 0.009542878 0.011238649 4293.0 31.670626 135962.0 0.01078978 0.0006031097 0.00061781966 0.00015445492 0.02210912 0.00015445492 0.0003677498 8.8259956e-05 0.0005589797 0.0014121593 0.0009046645 0.00048542974 0.0069504716 0.00033832982 0.010966299 0.0005957547 0.0092011 0.0026477987 0.005803092 0.0029125784 0.0034347833 0.0035083331 0.0028463835 0.0016548742 0.0017431341 0.0014783542 0.015894147 0.0003751048 0.014253982 0.0014195143 0.013989203 0.031339638 0.048013415 0.025558611 0.0073329313 0.011738574 0.015739692 0.006376782 0.003662788 0.003949633 0.0032435535 0.008406761 0.002316824 0.002132949 0.0034200733 0.003993763 0.0049646227 0.0029567084 0.0071049263 0.0025816036 0.003846663 0.0048028124 0.004464483 0.0033980082 0.0048322324 0.0035745283 0.004089378 0.002052044 0.0031552934 0.0003971698 0.0011473794 0.00022064989 0.0003971698 0.041393917 0.0004192348 0.06107589 0.00924523 0.037709065 0.025573323 0.04408585 0.004523323 0.009443815 0.01879937 0.038459275 0.0007281446 0.001853459 0.026522117 0.012599109 0.025043761 0.035237785 0.011363469 0.0010811845 0.059376884 0.048851885 0.07899266 0.009796855 0.0032435535 0.007869846 0.005803092 0.0064650415 0.0017725541 0.0011253144 0.00013238993 0.0013459643 0.00017651991 0.0004192348 5.455369 3.0 3.0 6.0 9.0 795759.0 331776.0 1.0 0.0 190.0 1.0 1.0 0.0 0.0 0.0 1489609900.0 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 9.0 0.0 5.0 0.0 5.0 0.0 46080.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46080.0 0.0 134656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9434812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.200001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6657515 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.273457 0.0 5.6038113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78594.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45612.0 0.0 134248.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 1.0 -1.0 0.0 2.0 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 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 0.0 0.0 1.0 2.0 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 121460.0 134248.0 192512.0 0.0 0.0 0.0 0.0 1044.0 327680.0 28.0 54144.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 56360.0 0.0 0.0 812.0 53248.0 0.0 0.0 72.0 54196.0


Input: 0.17974488 0.005454418 0.0026293604 0.0022580386 0.004189916 0.0012795553 0.0017462166 0.0010236441 0.0031411827 0.024938783 0.015038537 0.00065232225 0.0017161093 0.014903055 0.0006222151 0.0016408414 0.0042250413 0.0007878046 0.0003562683 0.0007627153 0.0015655734 0.00030608967 0.00044658987 0.00027096464 0.00095841195 0.0004967685 0.00030608967 0.00028100036 0.0008279475 0.0005469471 0.00029605394 0.0003863755 0.030307896 0.0015505198 0.014461483 0.0019268596 0.008334671 0.0010838585 0.0025691462 0.00063726865 0.0045913453 0.0041046124 0.000441572 0.00073762593 0.0023031994 0.00779776 0.0047017382 0.005118221 0.004255148 0.00220786 0.0016860021 0.0025841997 0.0009082333 0.00030107182 0.00080285815 0.00040644695 0.0013146802 0.0010487335 0.0057906145 0.011330336 0.007993457 0.019394042 0.007928224 0.000772751 0.0011541087 0.0020272168 0.0004817149 0.0019619847 0.004676649 0.002614307 0.0013096624 0.0005068042 0.0010136084 0.0010989121 0.00014551805 0.0005569829 0.002940468 0.0014100197 0.0022178958 0.000772751 0.004310345 0.0025039138 0.0028752359 0.002463771 0.00455622 0.0019368953 0.001726145 0.0015053591 0.00058709003 0.00033619686 0.00032616113 0.00080787606 0.012148248 0.00061719725 0.0012996267 0.0025641283 0.0004265184 0.019012686 0.008143992 0.014752519 0.012860784 0.03358456 0.0120629445 0.011134639 0.0074164025 0.026223356 0.00617699 0.00455622 0.01794388 0.012369034 0.020789009 0.02200835 0.010105977 0.0016107343 0.02118542 0.022138814 0.03795512 0.008806351 0.0039892015 0.0039440407 0.0042200233 0.0030207539 0.0008680904 0.022068564 0.0011189836 0.022329492 0.0010487335 0.00024587533 0.0017411987 0.001139055 0.00092830474 0.0055497573 0.0010537513 0.003201397 0.000883144 0.00037633977 0.00084300106 0.0017863595 0.0007125366 0.0086457785 0.00037633977 0.0026644855 0.00035125046 0.00024085745 0.00044658987 0.00014551805 0.0001655895 0.00021576813 0.0006322508 0.00040142908 0.00083296536 0.00029605394 0.00021576813 0.00034623258 0.00015053591 0.00022580386 0.00030608967 0.00040644695 0.00025591103 0.00013046445 0.0005820722 0.0008731083 0.000220786 0.0007025009 0.00033619686 0.00029605394 0.0004114648 0.0002910361 0.0006723937 0.00030608967 0.00014050018 0.00013046445 0.000220786 0.00010035727 0.000220786 0.00023583959 0.0005068042 0.00014050018 0.00015555377 0.0003612862 0.00044658987 0.00018566096 0.00069246517 0.000331179 0.00052687566 0.0004265184 0.00015053591 0.00026594676 0.0005921079 0.0005921079 0.00042150053 0.00074264384 0.0034673437 0.0007225724 0.00095841195 0.0018164666 0.0026795391 0.00039139335 0.0006723937 0.0009132512 0.0008731083 0.0005670186 0.00017562523 0.00013046445 0.009318173 0.00020071454 0.00019067882 0.00017060737 0.00037132192 0.0002910361 0.00029605394 0.00016057164 0.000220786 0.0001806431 0.00017562523 0.00012544659 0.00040142908 0.00019067882 0.00021576813 0.00030107182 0.00037132192 0.00068242947 0.00031110755 0.00020071454 0.0009533941 0.00019067882 0.0005218578 0.00090321543 0.0007878046 0.0010186263 0.0008279475 0.00083296536 0.0047167917 0.000848019 0.00025591103 0.001068805 0.00047669705 0.00020071454 0.00012544659 0.00022580386 0.00052687566 0.00020071454 0.00011541086 0.00023082172 0.00024587533 0.00013046445 0.000772751 0.0006071615 0.0007175545 0.00068242947 0.00043655414 0.00030608967 0.0002609289 0.0003161254 0.0006473044 0.011395568 0.036034144 0.0 0.0 0.0 2.5299547e-05 2.5299546e-06 0.00014420741 6.3248866e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014772405 0.0 2.5299546e-06 0.0 6.830878e-05 2.2769593e-05 0.0004300923 0.00024793556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018706486 0.0 1.2649773e-05 0.0 0.00014420741 9.107837e-05 0.0010980003 0.00067296793 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013515018 0.00014167746 0.0002175761 2.7829501e-05 9.360832e-05 0.00017709682 0.00043768215 0.0002960047 0.00020745628 2.5299547e-05 3.0359455e-05 5.8188958e-05 4.300923e-05 6.3248866e-05 9.6138276e-05 0.00011384796 0.013046976 0.0007969357 0.00010119819 8.854841e-05 0.00016950697 5.3129046e-05 0.00028335492 0.00017456687 7.336868e-05 8.601846e-05 9.8668235e-05 4.8069138e-05 6.3248866e-05 5.0599094e-05 4.8069138e-05 0.00036178352 0.019893033 0.0005793596 0.0002681752 0.00011890787 0.0003744333 0.00023275583 0.0015356825 0.0014597839 0.00031624435 0.00014673737 0.00014673737 0.00011890787 7.083873e-05 6.071891e-05 0.00013914751 0.00044527202 0.0068384674 1.7709683e-05 0.00011384796 0.00011890787 0.00015179729 7.589864e-05 0.001449664 0.0012472677 6.830878e-05 7.8428595e-05 3.0359455e-05 5.5659002e-05 5.059909e-06 0.0 0.000111318004 0.0 0.01453459 0.00010878805 0.0042655035 0.0047714943 0.0008576546 0.00054394023 0.017611014 0.013489719 0.00010878805 0.00013155764 0.00014673737 0.00014167746 2.5299547e-05 2.0239637e-05 0.0001846867 5.3129046e-05 0.013046976 8.095855e-05 0.02113524 0.022921389 0.0010727008 0.0021302218 0.07162808 0.05246367 0.00030865447 0.0003744333 0.00022263601 0.00037696323 5.0599094e-05 6.071891e-05 0.0005793596 7.589864e-05 0.05293424 0.0005540601 0.04025158 0.024350815 0.0041592456 0.0112582985 0.09662656 0.05970187 0.0008677745 0.00065525825 0.00054900016 0.00069573754 0.00091331365 0.00026058534 0.001171369 0.00038708307 0.007863099 1.0119818e-05 0.0052572456 0.00501943 0.003127024 0.003503987 0.01626508 0.013585856 0.00049840106 0.00038708307 0.00028335492 0.00041491256 1.0119818e-05 2.5299546e-06 0.00076151633 5.059909e-06 0.004429951 8.854841e-05 0.0009942722 0.00057682965 0.0012042584 0.00089054403 0.0034685677 0.0023351482 0.0003516637 0.00017203692 0.000116377916 0.00023528578 9.8668235e-05 1.0119818e-05 0.0003744333 0.00019733647 0.009421552 0.0011966686 0.0052547157 0.0034432684 0.0038379412 0.0028107797 0.009234334 0.008232472 0.0023528577 0.0008652445 0.0012396778 0.00111824 0.0036330149 0.00052623055 0.0023730975 0.0014547239 0.010517022 0.0019607148 0.0023604478 0.0010296915 0.0016723 0.0039467295 0.0019708348 0.0024439362 0.0071066427 0.0005641799 0.00074633665 0.00067296793 0.0047335452 0.00069573754 0.0021504615 0.004060577 0.023662666 0.006577882 0.010221017 0.0057531167 0.0076050437 0.01451941 0.007964297 0.008751113 0.01789943 0.0013535258 0.0017431388 0.0022465996 0.01335563 0.0023629777 0.0057101077 0.010170418 0.00086271454 0.0003744333 0.0004402121 0.00052623055 0.00027070515 0.0003466038 0.00057682965 0.00036431348 0.00023781574 0.00015685719 0.00020239638 0.00017456687 0.00019227655 0.00017709682 0.000116377916 0.0001619171 3511.0 30.812304 108182.0 0.05256882 0.0024033573 0.02591004 0.0032630197 0.0012571408 0.0013773086 0.004557135 0.0008873935 0.0072193155 0.007182341 0.00019411733 0.00038823465 0.0030689023 0.013449557 0.008282339 0.009095783 0.005231924 0.0033831876 0.0026067183 0.0023571388 0.00096134294 0.00032352886 0.0011092419 0.00033277256 0.0015529386 0.0007764693 0.0103251925 0.01913442 0.013884011 0.03517221 0.013440314 0.00085041876 0.00026806677 0.0031151208 0.000610083 0.0031520955 0.0033092382 0.004224363 0.0008689061 0.00039747832 0.00042520938 0.0016453754 0.000110924186 0.00059159566 0.0021352905 0.0021445341 0.0033554565 0.0009058808 0.002412601 0.0011739476 0.0022831894 0.0027823483 0.0055184783 0.0016084006 0.0006932761 0.00074873824 0.00029579783 0.00032352886 0.00017562996 0.00029579783 0.020816771 0.00024033574 0.00016638628 0.0031151208 4.621841e-05 0.033406667 0.014678967 0.026566342 0.02141761 0.059658725 0.021103326 0.01978148 0.0115268715 0.047604963 0.007052929 0.008125196 0.031530198 0.021972232 0.037039433 0.039877243 0.01747056 0.0027361298 0.038102455 0.03928565 0.06316208 0.011868888 0.0068218373 0.0067294003 0.0066092326 0.0051209996 0.0011924349 0.039720103 0.0002588231 0.036993217 4.621841e-05 3.697473e-05 5.4375763 0.0 22.0 0.0 1.0 199288.0 192512.0 0.0 2.0 4.0 1.0 1.0 1.0 0.0 0.0 1381507600.0 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 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 8.0 0.0 4.0 0.0 4.0 0.0 36864.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4008934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.924401 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0016353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.464545 0.0 5.6420584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2142.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36402.0 0.0 130816.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 42848.0 60.0 42644.0 130816.0 57344.0 0.0 0.0 6776.0 192512.0 896.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 40960.0 0.0 0.0 0.0 0.0


Input: 0.20323302 0.018512001 0.014009883 0.008300345 0.010530497 0.008540784 0.0081330845 0.006479636 0.009946825 0.0021430363 0.0025786129 0.0017405637 0.0030455508 0.0033278044 0.0018207098 0.01461272 0.0068350662 0.0015018678 0.0014042986 0.0015558793 0.002106448 0.006523194 0.0010750028 0.0011777988 0.0042860727 0.0016011792 0.0008659261 0.0010262182 0.0014948986 0.0010175067 0.0009077414 0.0012248411 0.0073473044 0.0023834745 0.00069343776 0.00090077217 0.018501548 0.0016098907 0.0006707878 0.00074222236 0.0032424314 0.0011812835 0.0005557956 0.0014495986 0.000933876 0.0012422642 0.0010453836 0.0007317685 0.0056154523 0.00088334916 0.0014827024 0.0062339706 0.0024183206 0.0007700992 0.0007108608 0.00065684936 0.003564758 0.002454909 0.0008153992 0.002761555 0.0009356183 0.0011063643 0.0006115494 0.0008397915 0.006549328 0.012483622 0.0015924677 0.004054346 0.011868589 0.0093108835 0.001554137 0.0018207098 0.056325268 0.009093095 0.0007910069 0.0026570165 0.012401734 0.0057252175 0.0017231406 0.0015645907 0.0039741998 0.00093039137 0.0012701411 0.0017492753 0.0031169853 0.00228939 0.0018590405 0.0030263856 0.0023555977 0.00066730316 0.0006254878 0.0012893064 0.004002077 0.0018694943 0.0017963175 0.002733678 0.0035055196 0.0046101417 0.00091122603 0.0019827443 0.0030141894 0.0057983943 0.002163944 0.0011534066 0.002676182 0.00228939 0.0005557956 0.0011865103 0.0032476583 0.0017301098 0.0031692546 0.0035229428 0.0038191348 0.0007474493 0.0030821392 0.0028085972 0.011004404 0.005512656 0.00094258756 0.0011237874 0.0020350134 0.001059322 0.00068298395 0.0010087951 0.0019235058 0.0010767451 0.00064988015 0.000996599 0.0041658534 0.0018625251 0.0010697759 0.011654285 0.0047965683 0.011464373 0.0009687221 0.0012196142 0.0025124052 0.019212408 0.0017562445 0.038137335 0.00090077217 0.013323414 0.00066033396 0.00070911855 0.0029479817 0.00045474185 0.00053488795 0.0005209495 0.0007143454 0.0011777988 0.00053837255 0.0005331456 0.0011394682 0.0005261764 0.00048087645 0.00037285348 0.00097046443 0.00039898808 0.00045299955 0.0007805531 0.001907825 0.00050875335 0.0004094419 0.00069343776 0.0006620763 0.00045299955 0.00050526875 0.00059412635 0.0012056758 0.000552311 0.00044951495 0.00044080341 0.0007439646 0.00040073038 0.0004982995 0.000615034 0.0015785292 0.0005226918 0.00050526875 0.00064988015 0.0007770685 0.00039898808 0.0015401985 0.0012858218 0.00233469 0.0023381747 0.0012875642 0.0012649142 0.00083456456 0.0007474493 0.0008467607 0.0010018259 0.0076661464 0.003371362 0.0015436831 0.0047739185 0.0039951075 0.001252718 0.0023939284 0.004566584 0.0029810856 0.00244794 0.00096697983 0.0019147943 0.009798729 0.0015558793 0.0017231406 0.0021116748 0.0028051126 0.0010575798 0.0028173088 0.00096697983 0.0008728953 0.0007178301 0.0010227336 0.0012422642 0.0026413358 0.0011551488 0.0007056339 0.0015454254 0.00091122603 0.00056102255 0.00062374555 0.0007910069 0.002681409 0.0008101723 0.0010837143 0.0007073762 0.001041899 0.0007770685 0.00051223795 0.0007073762 0.009861452 0.0062932093 0.0013206679 0.003040324 0.0031361508 0.00097220676 0.00063768396 0.00078229536 0.0039376114 0.0010941682 0.0011203027 0.0006707878 0.00085895683 0.0004913303 0.002920105 0.0015158062 0.003268566 0.0012788526 0.0011934796 0.0010697759 0.0013032448 0.0048139915 0.00437493 0.026995288 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0030292654 7.6867174e-05 3.7560098e-05 1.7469812e-06 5.1535946e-05 2.3584247e-05 0.00024981832 0.000103945385 0.0 0.0 0.0 0.0 0.0 0.0 1.7469812e-06 1.7469812e-06 0.0014709582 4.7168494e-05 2.3584247e-05 8.734906e-07 3.4939625e-05 6.9879247e-06 0.00014761991 5.677689e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042888387 3.6686604e-05 2.882519e-05 4.8041984e-05 3.4939625e-05 0.00015460784 6.376481e-05 3.3192642e-05 0.00030222774 9.084302e-05 5.3282925e-05 4.8915474e-05 7.162623e-05 5.1535946e-05 2.6204718e-05 3.3192642e-05 0.010689778 0.00019129444 0.0002969868 0.00020002935 0.000324065 0.0003808419 0.000653371 0.00034852276 0.0003354204 0.00016334275 0.00010481887 0.00011005982 0.00014587294 0.00010045142 0.00018081255 8.560208e-05 0.03647173 0.001255206 0.0005843652 0.00049788965 0.003172518 0.0011224354 0.007944397 0.0032589934 0.0005581605 0.00048740776 0.00019653539 0.0001668367 0.00018954746 0.0001773186 0.00015198736 0.0010097552 0.04060159 0.0017452342 0.00090406276 0.00075731636 0.0031611626 0.0010455683 0.006828076 0.0032004695 0.0016220721 0.0006883106 0.00029174588 0.0005197269 0.0010525562 0.000560781 0.0001764451 0.0012455976 0.020415222 0.0024204424 0.0018649024 0.0016080962 0.0013006275 0.0015932468 0.006158109 0.003338481 0.00034939626 0.0002786435 0.00041141408 0.00029087238 0.0005852387 0.0006227988 0.0008394245 0.0008568943 0.036388744 0.005588593 0.0026038755 0.0022798104 0.0011372848 0.00199942 0.002711315 0.002727911 0.0009748155 0.00087873155 0.0015181267 0.0010831284 0.001857041 0.0018753844 0.0022439973 0.0021103532 0.013173112 0.0007913825 0.0010936102 0.0011521342 0.0012080375 0.0007695452 0.0011521342 0.0009652071 0.0009975262 0.00061755785 0.0006437626 0.00073722604 0.001167857 0.0009844239 0.0007433405 0.0024256834 0.016217226 0.0017731859 0.002229148 0.001625566 0.011611311 0.0016386684 0.0009818034 0.00148144 0.009995353 0.000790509 0.00049788965 0.001255206 0.0037647446 0.0012421036 0.0019933055 0.0037254374 0.12593725 0.01873288 0.031128585 0.021817176 0.11211077 0.022988526 0.012868264 0.0213254 0.094625235 0.007021991 0.0053012143 0.011880346 0.041490804 0.013118955 0.025263969 0.040828697 0.0065765106 0.0012578265 0.0017609571 0.0011372848 0.004888927 0.0010857488 0.0008534003 0.0009363819 0.0042041102 0.00081321975 0.00056340144 0.0009573457 0.0021164678 0.000790509 0.0020858955 0.00396128 0.0009127977 0.00073023816 0.0007354791 0.00077478617 0.0007835211 0.0007712922 0.00093463494 0.00075644284 0.00072412373 0.0007249972 0.00073023816 0.00087960507 0.0007276177 0.00088047853 0.0007267442 0.00072936463 2387.0 9.431504 22513.0 0.020121707 0.0035535025 0.00053302536 0.00053302536 0.028961044 0.00062186294 0.00035535023 0.0002220939 0.003420246 0.00057744415 0.00035535023 0.00182117 0.0012881446 0.015724247 0.0080397995 0.0012437259 0.011015858 0.005507929 0.002398614 0.011504464 0.0014214009 0.0011104695 0.0016879137 0.00084395683 0.008572824 0.009017012 0.0009772131 0.0049304846 0.0011104695 0.0012881446 0.00066628173 0.00066628173 0.010393995 0.1078488 0.0016879137 0.010260738 0.012304002 0.010838183 0.002620708 0.0039088526 0.047128327 0.007240261 0.00084395683 0.0011548883 0.0152800605 0.0048860656 0.0015990761 0.0023541953 0.009372363 0.0013325635 0.004619553 0.010438413 0.019721938 0.01896682 0.031181984 0.034557812 0.0033314086 0.00084395683 0.0014658198 0.004219784 0.013814241 0.01745658 0.026384756 0.033847112 0.0035090835 0.022742415 0.0043530404 0.016479367 0.016168436 0.04255319 0.0077732867 0.005863279 0.0094612 0.02514103 0.00062186294 0.0033314086 0.02078799 0.0074623553 0.024208235 0.024252653 0.013458891 0.0012437259 0.024963355 0.017811932 0.041353885 0.014125172 0.003242571 0.004841647 0.008528406 0.0047528096 0.0020876827 0.0011548883 0.0035979212 0.00057744415 0.0002220939 0.0013325635 5.6313734 0.0 0.0 0.0 2.0 573952.0 606208.0 1.0 0.0 178.0 1.0 1.0 0.0 0.0 0.0 2253988000.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 12.0 10.0 0.0 10.0 0.0 400896.0 1024.0 4096.0 8.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 74752.0 0.0 0.0 0.0 0.0 25088.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395776.0 0.0 64000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.141064 0.0 0.0 0.0 -5.657311 0.0 0.0 0.0 0.0 5.8406234 0.0 0.0 0.0 0.0 5.890324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8353982 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.436857 0.0 0.68881017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -652.0 0.0 0.0 0.0 -4908.0 0.0 0.0 0.0 0.0 74732.0 0.0 0.0 0.0 0.0 24804.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14908.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395662.0 0.0 64464.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 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 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 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 -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 -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 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 -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 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 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 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 0.0 0.0 1.0 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 1.0 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 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -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 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 2.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 228.0 476640.0 740.0 476868.0 65016.0 536576.0 24804.0 503808.0 0.0 0.0 652.0 602112.0 84.0 420928.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 412080.0 0.0 0.0 1712.0 412912.0 192.0 474120.0 0.0 0.0