Input: 0.22382966 0.011603005 0.005789558 0.0052654063 0.008989273 0.00371684 0.0054185768 0.0037730492 0.010379047 0.002823112 0.003306512 0.0021556267 0.0070570777 0.0019855935 0.002048829 0.006804136 0.0061984807 0.0033571005 0.0023158232 0.0015991547 0.0038938993 0.004187593 0.0022638296 0.001770593 0.0031027533 0.0016525534 0.0014038273 0.0019111162 0.0027050725 0.0021907575 0.0015640238 0.0019813778 0.0054410603 0.0015541872 0.0017326517 0.0015584029 0.006115572 0.0015204616 0.0014516052 0.0012956244 0.0022034047 0.0012408203 0.001486736 0.0021415744 0.0020052667 0.0018057238 0.0020235348 0.0014740889 0.0031716097 0.0028146808 0.0022933395 0.006008774 0.0026320005 0.0025771963 0.0025336342 0.0019968355 0.0028905633 0.0036760883 0.0025490918 0.0048002745 0.0029214784 0.0030704332 0.002103633 0.002411379 0.007047241 0.0037322976 0.0031097797 0.0034709245 0.008354107 0.010488655 0.0065821093 0.0020994174 0.0028329487 0.0021724894 0.0016848738 0.0012351994 0.0029214784 0.0038601737 0.002253993 0.0016483377 0.0075517194 0.0032207929 0.0021724894 0.0036451733 0.0025448762 0.003764618 0.004956255 0.0035749115 0.0023130127 0.0028203016 0.0011733691 0.0017143837 0.0021022279 0.00347514 0.0029383411 0.0025027192 0.0016652006 0.0027416088 0.0011789901 0.0023917058 0.0025757912 0.0053089685 0.0030282761 0.0014066377 0.0037337027 0.0029046156 0.005027922 0.0011607221 0.00311259 0.0015724552 0.0027106935 0.0030071975 0.0028821318 0.0010778133 0.0031533418 0.0026601052 0.009481104 0.010022119 0.0021471954 0.0026488632 0.0019069006 0.0016483377 0.0011045127 0.0010300354 0.002187947 0.0031111848 0.0018450703 0.0021275221 0.003081675 0.0017031418 0.001746704 0.011050749 0.0022989605 0.008243094 0.0010862447 0.0011410489 0.0021977837 0.0077062952 0.0016300697 0.027652165 0.0014108535 0.007300183 0.0010047413 0.0013925855 0.0015738604 0.0008740546 0.000827682 0.0010806238 0.001318108 0.001263304 0.0008951331 0.0007869302 0.0011958529 0.0009541529 0.00080660346 0.0009864733 0.001245036 0.0009878784 0.0008164401 0.0011916371 0.0012675198 0.0013349709 0.00077006745 0.001505004 0.0012351994 0.001444579 0.00087545987 0.0011326175 0.0013251343 0.00092323776 0.000942911 0.0008515709 0.0013588598 0.0010244146 0.0009555581 0.0009372901 0.0013925855 0.00090215926 0.0007897407 0.00085438136 0.0012731407 0.0011649377 0.0022792872 0.0014642522 0.0024760198 0.0011705587 0.0010103622 0.0018394494 0.0016862791 0.0011649377 0.001909711 0.0011972581 0.007662733 0.0030324918 0.003239061 0.003758997 0.0032011196 0.0010145779 0.0023734376 0.0030591912 0.0025814122 0.003310728 0.001710168 0.0013771278 0.0056602764 0.0010721924 0.0033374273 0.0016848738 0.0028554325 0.0015373244 0.0030409233 0.0017776191 0.0016370959 0.0012309836 0.0012661145 0.0011719639 0.0020347766 0.0010764081 0.0009204273 0.001486736 0.0014979779 0.0016623901 0.001673632 0.0012070948 0.002297555 0.00093166914 0.0011818005 0.00084735523 0.0027022623 0.0012056895 0.00092604826 0.00087967556 0.013410134 0.0023593854 0.0017860505 0.0036957616 0.0042986064 0.001528893 0.0010173883 0.0010904605 0.0048494576 0.0018366389 0.0012914087 0.0012576832 0.0021542215 0.0011284017 0.0028076547 0.0028329487 0.004339358 0.0016174227 0.0011213756 0.0031210214 0.0059722383 0.0030549755 0.0037828858 0.06954074 0.030161407 9.159678e-06 8.455087e-06 9.864268e-06 2.8183622e-06 4.932134e-06 2.8183622e-06 7.7504965e-06 1.4091811e-06 2.1137716e-06 5.6367244e-06 3.5229527e-06 7.7504965e-06 4.2275433e-06 9.864268e-06 6.1299375e-05 0.0027253563 4.6502977e-05 1.9023944e-05 1.4091811e-05 2.8183622e-06 2.8183622e-06 0.0 4.2275433e-06 7.7504965e-06 2.1137716e-06 2.8183622e-06 3.5229527e-06 5.6367244e-06 2.8183622e-06 2.8183622e-06 4.3684613e-05 0.007876618 9.089218e-05 5.7071833e-05 5.4253473e-05 3.1001986e-05 2.8888213e-05 1.3387221e-05 3.0297393e-05 4.3684613e-05 1.197804e-05 1.268263e-05 1.4796402e-05 3.3115757e-05 1.4091811e-05 2.606985e-05 0.00031917953 0.0049342476 6.6231514e-05 2.0433126e-05 0.00012189416 1.7614764e-05 1.8319355e-05 1.8319355e-05 1.5500993e-05 1.9728535e-05 1.1273449e-05 2.1137717e-05 1.9728535e-05 3.3820346e-05 2.1137717e-05 5.3548883e-05 0.0003790697 0.011939991 0.00037625135 0.00024449293 0.00019587617 0.0001338722 0.00017614763 8.9483e-05 0.000114143666 0.00010216563 4.791216e-05 4.2980024e-05 3.663871e-05 5.9890197e-05 3.4524935e-05 5.6367244e-05 0.0007792771 0.007891414 0.0004086625 0.0002480159 0.00014514565 0.00013246303 0.00012894007 0.00013880433 0.00012048498 0.00013598597 3.945707e-05 8.9483e-05 4.5798384e-05 3.3115757e-05 4.6502977e-05 2.3251489e-05 0.00047348486 0.01515222 0.00070599973 0.00051998784 0.00042204975 0.00042627729 0.00013739515 0.00022194603 0.00016346501 0.00019728535 8.877841e-05 9.582432e-05 6.6231514e-05 0.0002592893 0.00024096997 0.00016839713 0.0027789052 0.04212817 0.0013929756 0.002127159 0.0009836084 0.004210633 0.0010625225 0.0041451063 0.001984127 0.00046714355 0.00038470645 0.00021067257 0.00073911546 0.00076377613 0.00071727316 0.0006193351 0.0073277415 0.026093101 0.0016776301 0.0020531768 0.0011837122 0.002346991 0.0010364527 0.0033735796 0.0018333446 0.00043614156 0.0003494769 0.00023462865 0.0003417264 0.0003121336 0.00036356872 0.0002677444 0.0057156384 0.016336637 0.002140546 0.002018652 0.0015472808 0.0024562026 0.0013838159 0.005205515 0.0025287755 0.00019728535 0.00020292208 0.00053055666 0.0003945707 0.00013105384 0.00016980633 0.00020785422 0.0063955686 0.018013561 0.0023899712 0.0024949552 0.002194095 0.003317917 0.0011830075 0.0030776516 0.0021504103 0.0008504408 0.00046291598 0.00045798384 0.00047137108 0.00041289005 0.00076448073 0.0005066006 0.005984792 0.01739 0.0029402564 0.0031248592 0.01589204 0.005752277 0.0027246517 0.0041070585 0.003069901 0.0018347538 0.0014895045 0.0015874425 0.0015768736 0.002071496 0.0017924784 0.0015183926 0.006721089 0.010981044 0.0015000732 0.0014824586 0.0020355622 0.002816953 0.0013781791 0.0017981151 0.0018784384 0.003047354 0.00071163644 0.0007828001 0.0009540156 0.0011668019 0.00093076413 0.0011534147 0.0063434285 0.03621736 0.0070085623 0.0049356567 0.0055366727 0.0120273605 0.012903871 0.0047644414 0.010512491 0.026451739 0.0019855362 0.0019982187 0.0031354278 0.013428791 0.004240226 0.010020686 0.025208136 0.047440786 0.01146862 0.0075637796 0.009449264 0.019729944 0.019519977 0.0085051125 0.015891336 0.037735756 0.002913482 0.003331304 0.0041267867 0.018611759 0.0070867715 0.015293842 0.033957742 0.009695166 0.009843835 0.0081211105 0.008703102 0.010108056 0.008796108 0.008080949 0.00875031 0.009218158 0.008060516 0.008426903 0.010506854 0.010695685 0.00958525 0.010167946 0.008426199 2869.0 11.352736 32571.0 0.024131896 0.002732492 0.0029781093 0.0032544287 0.009486967 0.0021798532 0.0025482792 0.0031623223 0.0055263885 0.0022719598 0.0018114273 0.0027631943 0.004789537 0.004482515 0.0097325845 0.004083387 0.01307912 0.0124650765 0.010837862 0.011881735 0.013570354 0.011789629 0.013140524 0.010715053 0.012250161 0.011851033 0.0116054155 0.0116054155 0.01393878 0.015166867 0.009916797 0.013478247 0.019219551 0.015535292 0.004114089 0.014921249 0.01621074 0.008903626 0.007798348 0.009179945 0.007368518 0.009179945 0.0022719598 0.0024254706 0.0097325845 0.005649197 0.005219367 0.0060790274 0.015658101 0.0055570905 0.0079211565 0.018973934 0.0097325845 0.0045746216 0.017807253 0.014399312 0.007368518 0.0027017898 0.0024254706 0.0029781093 0.006386049 0.0040219827 0.0050044516 0.00653956 0.0062632402 0.024131896 0.0059255166 0.018421294 0.017316017 0.05253139 0.0057720058 0.0088115195 0.011083479 0.026188942 0.004052685 0.0039912807 0.026772283 0.010254521 0.024684535 0.028829327 0.014337908 0.0033772374 0.028184582 0.01891253 0.04365847 0.01237297 0.0052807713 0.009210647 0.008504498 0.006600964 0.0020570445 0.0016272144 0.004636026 0.0028553007 0.0022412576 0.0020263426 6.1783457 0.0 1.0 0.0 5.0 711626.0 630784.0 0.0 0.0 416.0 1.0 1.0 0.0 0.0 0.0 1537888600.0 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 311296.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -311296.0 0.0 152576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.445198 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8079762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2585964 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.608573 0.0 4.6212683 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 89994.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -310965.0 0.0 152192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 2.0 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 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 -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 1.0 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 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 1.0 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 -2.0 0.0 -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 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 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 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 1.0 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 1.0 -3.0 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 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -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 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 -1.0 0.0 1.0 0.0 2.0 1.0 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 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 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 1.0 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 -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 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 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 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 0.0 0.0 1.0 -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 -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 -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 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 360.0 396020.0 152192.0 434176.0 0.0 0.0 0.0 0.0 21264.0 589824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 371960.0 0.0 0.0 1732.0 315392.0 64.0 395884.0 0.0 0.0


Input: 0.105602615 0.0036370119 0.0035411236 0.0034786186 0.0035677592 0.0034519827 0.0034058143 0.0035681142 0.0035993669 0.0034583753 0.003479684 0.0035162636 0.0034715156 0.0034892727 0.0034512726 0.003634526 0.0035013475 0.0034843008 0.003554974 0.0034708052 0.0034992166 0.0039211255 0.0033869918 0.0034356462 0.0034260575 0.0034043938 0.0035365066 0.0034644129 0.0035357964 0.0034058143 0.0035215907 0.00354503 0.0035535535 0.0034445247 0.0036799842 0.0036391427 0.00358232 0.0034672539 0.0034367116 0.0034857213 0.003510226 0.0034803941 0.0035517777 0.0034938897 0.003454824 0.0034704502 0.0034633474 0.0033784683 0.003517329 0.003417534 0.0033486364 0.0035368619 0.00343245 0.0034114965 0.0034811045 0.0034363566 0.0034360015 0.0034928243 0.0035503572 0.0035205253 0.003554619 0.003570245 0.0035915538 0.0038696302 0.0037329004 0.0035407683 0.0035556844 0.0034835904 0.0034708052 0.0036114417 0.0034789736 0.0034114965 0.0034569548 0.003384861 0.0034502072 0.0033394026 0.003412207 0.0035084505 0.003393029 0.0033983563 0.003596881 0.0035784135 0.0034558894 0.0035258525 0.0034221509 0.0034658334 0.003475067 0.003542544 0.003462637 0.003442394 0.0034441696 0.0035290488 0.0036316847 0.0035105813 0.003894135 0.0035162636 0.003485011 0.0035539086 0.0035262075 0.0035563947 0.0035574601 0.00369419 0.0035315347 0.0034292538 0.0034871418 0.0035514226 0.0035212357 0.0034015526 0.0034356462 0.0034612166 0.0035294038 0.0035539086 0.003535086 0.0035162636 0.003624937 0.003482525 0.0036213857 0.0036288437 0.0034431042 0.0034345808 0.0034413286 0.0034562445 0.0034434595 0.003427478 0.0034391978 0.0034608613 0.0035191048 0.0034445247 0.003632395 0.0036544139 0.0034569548 0.0035141327 0.0034171788 0.0034342257 0.0034438146 0.003399777 0.0034043938 0.003497441 0.0034221509 0.0037279283 0.003345085 0.0035056092 0.0034146928 0.0033369167 0.0034154032 0.0034313845 0.0034470109 0.0033816646 0.003405104 0.003385216 0.0034455901 0.003462637 0.0034253472 0.0033965807 0.0034178891 0.0034512726 0.0036586756 0.0035713105 0.0035677592 0.0034970858 0.003492114 0.0034814596 0.0035400582 0.0035553293 0.0034832354 0.003554619 0.003452693 0.0034118518 0.0035414787 0.0035808994 0.0034512726 0.003470095 0.0034129173 0.0033912535 0.003409721 0.0034360015 0.0037577604 0.0034352911 0.0034395528 0.0034210854 0.0034281884 0.0034011975 0.0033969358 0.0034320948 0.0034619267 0.0034455901 0.0034384874 0.003410076 0.0034466556 0.00346974 0.0034459454 0.0034132723 0.0035130673 0.0034040385 0.0034619267 0.0034672539 0.0035379273 0.0035581703 0.0034246368 0.003502413 0.0034388425 0.0034882072 0.0033990666 0.0034043938 0.0033969358 0.0033916086 0.0033862814 0.0033546737 0.0034054592 0.003364973 0.0034143378 0.0034068797 0.003445235 0.00340759 0.0034029733 0.0034182442 0.0035109364 0.003465123 0.0034356462 0.003393029 0.0034665437 0.00350703 0.0034938897 0.0034928243 0.0034356462 0.0033837955 0.0033990666 0.0033489915 0.0034438146 0.0033834404 0.0033788234 0.0033756273 0.0035904883 0.0034388425 0.003452338 0.0034036834 0.0033937395 0.0033813096 0.003394805 0.0033607113 0.0034008424 0.0034043938 0.00342002 0.0033866367 0.003427478 0.0033532532 0.0034583753 0.003437777 0.0034938897 0.0035240767 0.0033820197 0.003339758 0.0034690297 0.003507385 0.0035105813 0.01085883 0.08842244 0.0 1.5991744e-06 1.7768605e-07 0.0 0.0 1.5991744e-06 0.0 0.0 1.7768605e-07 0.0 1.4214884e-06 1.7768605e-07 1.7768605e-07 0.0 1.7768605e-07 0.0003411572 0.0 0.0 1.7768605e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.7768605e-07 1.7768605e-07 0.0 3.553721e-07 2.1855383e-05 0.0009850914 2.5231418e-05 7.2851276e-06 1.9367779e-05 1.5991744e-06 7.107442e-07 4.9752093e-06 3.1983488e-06 1.4214884e-06 8.8843024e-07 1.2438023e-06 4.264465e-06 1.2438023e-06 1.5991744e-06 8.8843024e-07 3.269423e-05 0.0003017109 7.107442e-07 0.0 7.107442e-07 0.0 0.0 0.0 2.1322326e-06 1.9545464e-06 0.0 0.0 1.7768605e-07 2.1322326e-06 0.0 1.9545464e-06 5.2417385e-05 0.00085342606 6.219011e-05 5.295044e-05 1.0128105e-05 8.8843024e-07 5.3305814e-07 5.8636397e-06 6.7520696e-06 4.619837e-06 7.107442e-07 8.8843024e-07 5.5082673e-06 3.1983488e-06 8.8843024e-07 2.6652906e-06 8.049178e-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 0.00027452494 1.6347116e-05 1.616943e-05 3.0206627e-06 1.2438023e-05 4.619837e-06 1.5458685e-05 8.173558e-06 4.619837e-06 3.7314069e-06 1.0661163e-06 7.107442e-07 5.3305814e-07 7.107442e-07 1.0661163e-06 7.107442e-07 0.0007432607 7.018599e-05 5.668185e-05 3.7491754e-05 1.9900837e-05 2.1322325e-05 2.380993e-05 8.173558e-06 9.950419e-06 9.061988e-06 2.29215e-05 1.705786e-05 1.0483476e-05 1.1727279e-05 9.239674e-06 2.0433896e-05 0.0002343679 5.3305814e-07 1.08388485e-05 3.0206627e-06 2.4876047e-06 5.6859535e-06 2.1322325e-05 3.0206627e-06 3.7314069e-06 6.2190115e-06 1.2793395e-05 1.08388485e-05 5.330581e-06 1.705786e-05 7.107442e-07 2.5942163e-05 0.0016604761 0.00015245462 0.0002228183 9.2929804e-05 0.00025035965 8.564467e-05 0.00027896708 0.00015618603 4.0157047e-05 2.469836e-05 0.00015174388 4.5309942e-05 2.1677697e-05 1.9545465e-05 3.553721e-05 0.00076440535 0.0023667782 0.0001513885 0.00061177305 0.00063043006 0.0004698019 0.00014072735 0.00042324816 0.00054443005 0.0001592067 0.00040583493 0.00018781415 6.272317e-05 0.0003948184 6.698764e-05 3.5359524e-05 0.0013545008 0.0033575555 0.0005396325 0.00051528955 0.00061017385 0.00025906626 0.000816112 0.0006000458 0.00029460347 0.0001871034 0.0002851861 0.0006883557 0.00070612435 0.00020700424 0.00052488456 5.881408e-05 0.0027226834 0.0016201413 0.00032427703 0.00024520673 0.00024218608 0.00017679762 0.00042182667 0.00032871918 0.0002265497 0.00011638436 0.00022992575 0.00028856212 0.00022850426 9.8615754e-05 0.00033191754 5.170664e-05 0.0012549965 0.0018214596 0.00043106635 0.00014676867 0.00036105805 0.0004925457 0.0005476284 0.00029353733 0.0004470581 0.0005419424 0.00016400422 0.00029371504 0.00015956207 0.0003427564 0.00024147534 0.00034950845 0.0013717363 0.0011750378 0.00027825634 0.00017519844 0.00026333073 0.0003932192 0.00038131425 0.00017608688 0.0003308514 0.00040690103 9.506203e-05 0.00014588024 0.00010003724 0.00023454557 0.000115851304 0.0002189092 0.00060413254 0.054127257 0.054046232 0.054031126 0.05390266 0.05355173 0.054071996 0.054105043 0.053887557 0.054135785 0.054138806 0.05387565 0.053906392 0.053810086 0.0537017 0.05379818 0.054083012 11400.0 5.8377194 66550.0 0.011389933 0.010413223 0.01038317 0.00945154 0.009977461 0.009631855 0.009887303 0.009421487 0.010097671 0.009812172 0.009706987 0.010353118 0.009722014 0.009421487 0.010533433 0.010653644 0.010007513 0.009962434 0.009586777 0.010638618 0.010323065 0.010172802 0.009661908 0.009797145 0.010262961 0.00933133 0.010368144 0.009421487 0.009722014 0.010037566 0.010368144 0.010308039 0.009631855 0.011344854 0.010458302 0.010653644 0.011149512 0.009406461 0.010473329 0.010833959 0.009782119 0.0098422235 0.009872276 0.009586777 0.01002254 0.010413223 0.009917355 0.009586777 0.010172802 0.009706987 0.010518407 0.0111795645 0.010338091 0.009812172 0.009887303 0.010533433 0.01014275 0.01014275 0.0096018035 0.009782119 0.009887303 0.009902329 0.009797145 0.010518407 0.010112697 0.012637115 0.010443276 0.010578512 0.011855748 0.016033057 0.009932382 0.010458302 0.010698723 0.01338843 0.010082644 0.010082644 0.012336589 0.010653644 0.013208115 0.013253193 0.010262961 0.009947408 0.012847483 0.012637115 0.013433509 0.01135988 0.009797145 0.009767093 0.010187829 0.010593539 0.009060857 0.009752066 0.009947408 0.010157776 0.009361383 0.009406461 6.5775023 1.0 1.0 0.0 45.0 2815773.0 626688.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1241100400.0 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 6.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 23552.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 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 0.0 0.0 5.263696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7227535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.486413 0.0 2.4650862 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23488.0 0.0 372392.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 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 -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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 372392.0 253952.0 0.0 0.0 7616.0 24122752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.7744637 0.00449648 0.0029981006 0.002114097 0.0030101733 0.0008316878 0.0029793205 0.0016284984 0.0014769166 0.0008410779 0.0034702846 0.0005741329 0.00076461624 0.001065097 0.00054328 0.00034608945 0.00048023264 0.0011576558 0.00087327225 0.00055535283 0.00049632986 0.00039974673 0.0005835229 0.00048023264 0.00046815976 0.00024950635 0.0004319411 0.00024950635 0.0003018222 0.00019450764 0.0002803593 0.00060096156 0.021081945 0.00020792196 0.0006344973 0.0003769424 0.0015989869 0.0003179194 0.00033804087 0.00021462912 0.002148974 0.009665018 0.000829005 0.0003058465 0.0012891161 0.00032462654 0.0011737531 0.0007364462 0.000906808 0.00045876973 0.00024145776 0.00042120964 0.00021597055 0.0002723107 0.00024011632 0.00011536315 0.00024279919 0.00024816493 0.00024279919 0.0001717033 0.00032596797 0.000829005 0.0003393823 0.00034072372 0.000503037 0.00070291036 0.00047218407 0.0011818015 0.0007337633 0.00088132086 0.00047084264 0.00019987336 0.00037425954 0.00065461884 0.00011402172 0.0001301189 0.0007136418 0.00044803828 0.00048559837 0.0011549729 0.0009913183 0.00028706645 0.00078205485 0.0013280177 0.00087729655 0.00015292325 0.00021328768 0.00045876973 0.00019182477 0.00019987336 0.00029913933 0.0006090101 0.00013280177 0.00044535543 0.0001971905 0.0005996201 0.00013682607 0.0030396848 0.0009980254 0.0009953425 0.0016352056 0.0073175114 0.0013333834 0.0012394831 0.0006532774 0.0032422412 9.6583106e-05 0.00025353066 0.0026587183 0.00094973383 0.0036312565 0.004712451 0.0015547196 0.0003527966 0.0041705123 0.0026976198 0.004499163 0.0013548463 0.0004399897 0.00040108818 0.00066400884 0.00082498067 0.00015426468 0.00046279404 9.255881e-05 0.00029109075 0.00025755496 0.00043059967 0.0005862058 0.00040108818 0.00025353066 4.8291553e-05 2.9511504e-05 7.5120195e-05 0.00037023524 0.000103290266 4.9632985e-05 0.00014085036 4.8291553e-05 4.8291553e-05 0.00029913933 6.438874e-05 0.00011804602 0.00012743604 0.00021060482 0.0002723107 0.0002012148 8.316879e-05 4.2925825e-05 3.35358e-05 5.365728e-05 9.6583106e-05 9.792454e-05 0.00043328255 8.9875946e-05 2.1462913e-05 0.00014085036 5.365728e-05 0.0001301189 8.1827355e-05 6.304731e-05 4.2925825e-05 8.8534514e-05 2.682864e-05 0.00011133886 0.0002468235 0.00016499613 0.00011133886 3.4877234e-05 6.438874e-05 2.4145776e-05 3.219437e-05 1.7438617e-05 2.1462913e-05 6.8413035e-05 0.00032999227 0.00020255623 0.00020389767 0.00055267 0.009546972 5.231585e-05 4.8291553e-05 6.304731e-05 5.7681576e-05 3.0852938e-05 0.00011268029 3.7560098e-05 6.304731e-05 0.00014085036 0.00018377618 0.00015292325 0.00024011632 0.00014085036 0.000167679 8.048592e-05 0.00018109332 3.7560098e-05 0.00025218923 5.902301e-05 0.00010194883 0.00018511762 9.255881e-05 6.1705876e-05 6.573017e-05 3.6218666e-05 8.9875946e-05 0.00016499613 0.0003393823 0.00011536315 0.00023206773 4.024296e-05 5.231585e-05 9.792454e-05 4.2925825e-05 2.682864e-05 5.365728e-05 4.1584393e-05 3.35358e-05 2.9511504e-05 4.024296e-05 0.00014353322 0.00012207031 0.000226702 0.00013280177 7.5120195e-05 7.5120195e-05 2.8170072e-05 9.390024e-05 0.00010865599 4.9632985e-05 7.780306e-05 3.890153e-05 0.00017438616 4.024296e-05 5.6340145e-05 3.890153e-05 0.00037023524 2.8170072e-05 3.4877234e-05 8.316879e-05 0.0004601112 0.00017841045 0.00022133627 0.0001421918 6.8413035e-05 3.4877234e-05 4.695012e-05 6.438874e-05 0.00027901787 8.048592e-05 3.6218666e-05 5.4998713e-05 0.00081156637 0.0070773955 0.004182585 0.038664095 0.4574772 2.8880459e-05 7.3880246e-06 0.0 0.0 0.0 0.0 0.0 6.716386e-07 0.0 0.0 9.40294e-06 0.0 1.3432772e-06 0.0 0.0032728948 0.006669371 4.0298314e-06 2.6865544e-06 1.3432772e-06 3.358193e-06 0.0 3.0223737e-05 0.0 8.059663e-06 0.0 0.0 0.0 2.6865544e-05 0.0 6.716386e-07 0.004257517 0.10390383 7.3880246e-06 0.0027731957 4.70147e-06 6.716386e-06 1.2761133e-05 3.0223737e-05 1.3432772e-05 6.0447474e-06 2.3507351e-05 2.0149157e-06 0.0027765539 3.0895375e-05 2.820882e-05 3.358193e-06 0.005920494 0.082124606 0.00013701427 0.0026852111 2.7537182e-05 1.4776049e-05 3.694012e-05 8.059663e-06 9.4029405e-05 0.00010947709 6.514894e-05 4.0298314e-06 0.0027201362 7.992499e-05 5.171617e-05 1.4776049e-05 0.017741334 0.02546249 6.78355e-05 0.0018651404 2.5522266e-05 5.5746e-05 3.82834e-05 6.8507135e-05 0.00013164117 0.000118208394 4.231323e-05 4.0298314e-06 0.0018812597 7.186533e-05 7.4551885e-05 1.6119326e-05 0.004464382 0.03269671 0.0002297004 0.0072201146 4.4999786e-05 0.00021425271 0.00018067077 0.00042380395 0.00028947624 0.00020081994 3.3581928e-05 7.3880246e-06 0.0028054344 5.5746e-05 1.0746217e-05 2.417899e-05 0.009207494 0.0130566545 3.223865e-05 0.008670183 4.231323e-05 0.00051783334 0.0004916394 0.0012774566 0.00041507263 1.7462604e-05 2.4850628e-05 6.716386e-06 2.820882e-05 1.6119326e-05 2.2164073e-05 9.40294e-06 0.00013096952 0.016720442 0.00020283485 0.005643779 0.00025320775 0.0026086443 0.0019558116 0.010438607 0.004759231 0.00012223823 0.00016052162 0.0001289546 0.00017798423 9.805923e-05 0.000106118896 4.4328146e-05 0.0005957434 0.027773598 0.0015232763 0.0035321473 0.0008738018 0.001826857 0.0014581274 0.0061629554 0.0037222211 0.0004526844 0.00038350563 0.00032440142 0.00047954996 0.00033178946 0.00042917705 0.00014305902 0.0014769332 0.011274797 0.0011263379 0.0018886477 0.00058969867 0.00056820625 0.00077910075 0.0023332725 0.0017697677 0.00030828212 0.00018805881 0.00022902875 0.00029820754 0.00017328275 0.00022365565 8.395482e-05 0.0001739544 0.0108389035 0.0015199181 0.0023587947 0.0013654412 0.0010108161 0.0009114136 0.0036819228 0.0025508835 0.0007206682 0.00036872958 0.00030693883 0.0003499237 0.00026596888 0.00023238696 0.00037275942 0.0006548476 0.005487959 0.0010873829 0.0012385015 0.0009275329 0.0005117886 0.00047081866 0.0021452135 0.0013788741 0.00041238609 0.00016455146 0.00021693927 0.00012693969 0.00017193948 0.00011753675 0.00013298444 0.00053932576 0.0051655723 0.0011223081 0.0018839462 0.000780444 0.0010967858 0.00088118983 0.0037672208 0.0021129749 0.00014843213 0.00033716258 0.00013835754 3.5596844e-05 0.00036537138 9.067121e-05 0.00033649092 0.0023702125 0.0031956565 0.000693131 0.0014285753 0.0006420865 0.000773056 0.000550072 0.0024219288 0.0013190982 0.00013298444 0.00024514808 7.723844e-05 1.1417856e-05 0.0003694012 4.1641593e-05 0.00019208863 0.0016616338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2098.0 17.6163 36959.0 0.028599259 0.00013528505 0.008550015 0.00048702618 0.0009199383 0.00016234205 8.117103e-05 0.00016234205 0.00021645607 0.00024351309 0.000108228036 0.00040585513 0.008901756 0.00073053926 0.0116615705 0.008901756 0.008847642 0.0017316486 0.0012987364 0.003219784 0.0012175654 0.0018669337 0.0016504775 0.0005411402 0.0011634514 0.0006493682 0.00078465324 0.00037879814 0.0045455773 0.012094483 0.0044914633 0.00021645607 0.0021645608 0.005736086 0.0068183662 0.019670445 0.009659353 0.011363944 0.0050867177 0.0018128196 0.0041126655 0.0076300767 0.0 0.0010011094 0.008820585 0.0038420954 0.0035985822 0.015720122 0.012310939 0.00056819717 0.011363944 0.018371709 0.013068535 0.0014881355 0.0024351308 0.0051949457 0.0002976271 0.00021645607 0.0005952542 5.4114018e-05 0.0002976271 2.7057009e-05 0.0 0.009064098 0.00024351309 0.047187425 0.014042588 0.014881355 0.02505479 0.11591223 0.018561108 0.01791174 0.0073595066 0.04407587 0.00045996916 0.0028951 0.04134311 0.013339105 0.054979842 0.046916854 0.01103926 0.002759815 0.057414975 0.040233772 0.06991531 0.019643389 0.0069536516 0.0053302306 0.010525176 0.012743851 0.0008928813 0.0 2.7057009e-05 0.0 0.0 0.0 5.2425084 1.0 4.0 0.0 1.0 745472.0 770048.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1367962600.0 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 -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 448512.0 512.0 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 -448512.0 0.0 295936.0 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 -2.804806 0.0 0.8034526 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 -448388.0 0.0 295920.0 0.0 0.0 0.0 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 83.0 456488.0 295920.0 458752.0 0.0 0.0 0.0 0.0 12.0 761856.0 28.0 456292.0 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: 0.02340047 0.00882583 0.00558818 0.005098986 0.0057613277 0.0053472337 0.0039104223 0.0044215205 0.0052877795 0.00819791 0.0037268442 0.0048142313 0.004230641 0.0032454731 0.0035474382 0.0039010348 0.004910193 0.0034911132 0.005507343 0.00462596 0.004656208 0.0026472798 0.0047777244 0.0039797854 0.0047203563 0.0031307368 0.0031818466 0.0024949934 0.004316693 0.0026556242 0.0032538176 0.003690337 0.005647634 0.005785318 0.0032564253 0.002644672 0.0051636556 0.005780624 0.0033675109 0.0046040555 0.0054218126 0.0068346336 0.0033560372 0.0038733936 0.004127378 0.0054468457 0.0035401369 0.004583716 0.0050384887 0.0064273197 0.0038269777 0.0034926778 0.0035130174 0.003335176 0.0025956484 0.00279748 0.00410078 0.0035229265 0.0037028538 0.0033852428 0.0034921563 0.0026952603 0.0036282751 0.0032741572 0.0059386473 0.0035307494 0.0034629507 0.00246318 0.003869743 0.003372726 0.0028433744 0.0024730891 0.004535735 0.0038009011 0.0044491612 0.0044731516 0.00424055 0.002587304 0.0041221627 0.0036079355 0.0048747286 0.0040486273 0.004096608 0.003389415 0.0038238484 0.003594376 0.003517711 0.003589682 0.0044580274 0.003871829 0.004431951 0.004080962 0.0038645277 0.0036407919 0.004310956 0.0047026244 0.005098986 0.003461386 0.0037132844 0.0026431074 0.0040121204 0.0036016773 0.0033664678 0.002687959 0.0042556743 0.0034139268 0.0029163884 0.003277808 0.003353951 0.0023088076 0.0028877044 0.0029534171 0.0037409253 0.003353951 0.0030160006 0.0027557577 0.0038274992 0.0034598215 0.0030587658 0.003392544 0.0035766438 0.0031448181 0.0029721921 0.0031562918 0.0037847338 0.003416013 0.0034003672 0.0038207192 0.0068466286 0.0037774325 0.003687208 0.0027348965 0.004490362 0.0032220043 0.0025137684 0.0027171646 0.0039385846 0.0055047353 0.0035682993 0.004729744 0.003624103 0.0026530165 0.002508553 0.0024762184 0.0044721086 0.0030170435 0.0040006465 0.0032475593 0.004209258 0.0038796521 0.0037570929 0.004167536 0.0041967416 0.0032939753 0.0028188627 0.0023067214 0.003854097 0.0039375415 0.0025956484 0.0033424774 0.004504965 0.003044163 0.0035902036 0.0027145569 0.0038196763 0.0034353095 0.0030379046 0.0031255216 0.0038123748 0.002869451 0.0031046604 0.0031119618 0.003608457 0.0030326894 0.002931513 0.0034441755 0.0040251585 0.0033122287 0.0037602219 0.002971149 0.0034572138 0.0033184872 0.0028965704 0.003291889 0.004468458 0.0034858978 0.003956317 0.0037419684 0.0035594334 0.0034102763 0.0038937333 0.004327645 0.0053743534 0.00440431 0.0044522905 0.0034034962 0.004119034 0.0036574807 0.0038061165 0.0037143275 0.0039756135 0.004422042 0.0040282877 0.004216038 0.0036752129 0.0026587534 0.0037544852 0.0035025869 0.0040554074 0.0036454857 0.0037200642 0.0035849884 0.0034905917 0.0030389477 0.0038238484 0.0039630965 0.00418944 0.0037925567 0.003017565 0.003013393 0.0034535632 0.0033137933 0.0034019318 0.0037904705 0.0041138185 0.0035057159 0.004020986 0.0032783295 0.0035667347 0.0032094875 0.0036965956 0.003268942 0.00439075 0.0049159294 0.004203521 0.0041091247 0.0038582694 0.002740112 0.0042483727 0.0040517566 0.004328688 0.0041868323 0.004116426 0.0039438 0.003479118 0.0032439085 0.0042358562 0.004695323 0.004649428 0.0038645277 0.003705983 0.0037962075 0.004083048 0.0034744241 0.0050984644 0.0048006717 0.005272185 2.1138847e-05 7.5682287e-06 1.1743803e-05 0.0 1.8268139e-06 2.3487607e-06 1.304867e-06 1.8529112e-05 5.2194684e-07 5.2194684e-07 0.0 1.0438937e-06 2.6097342e-07 1.304867e-06 4.436548e-06 0.00052038097 3.3926544e-06 1.5658404e-06 2.3487607e-06 0.0 2.6097342e-07 5.2194684e-07 7.829202e-07 3.3926544e-06 0.0 2.6097342e-07 0.0 5.2194684e-07 0.0 2.6097342e-07 7.829202e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00045592056 5.480442e-06 1.0960884e-05 1.304867e-06 5.480442e-06 1.2526723e-05 1.0438936e-05 1.4875484e-05 2.3487607e-06 4.1755748e-06 1.8268139e-06 1.304867e-06 3.6536278e-06 5.2194684e-07 2.0877874e-06 1.5658404e-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 0.00040398684 1.3570618e-05 7.829202e-06 6.785309e-06 7.046282e-06 1.3048671e-05 7.829202e-06 7.829202e-06 1.4092564e-05 5.219468e-06 7.046282e-06 6.2633617e-06 9.916989e-06 7.3072556e-06 9.134069e-06 7.5682287e-06 0.00096351386 3.914601e-06 4.436548e-06 6.2633617e-06 5.219468e-06 7.5682287e-06 3.914601e-06 3.3926544e-06 2.8185128e-05 4.3843535e-05 2.0355927e-05 1.6963271e-05 1.8790086e-05 2.2704686e-05 4.3843535e-05 0.0004105112 0.000343441 4.436548e-06 5.741415e-06 3.914601e-06 4.1755748e-06 5.480442e-06 4.436548e-06 3.1316808e-06 1.2787697e-05 2.374858e-05 7.5682287e-06 9.656016e-06 1.1221857e-05 9.134069e-06 1.3570618e-05 7.202866e-05 0.0011451513 6.9157955e-05 3.8624064e-05 3.8624064e-05 2.1138847e-05 3.0272915e-05 4.2277694e-05 1.9051058e-05 3.288265e-05 5.6109282e-05 5.115079e-05 5.3760523e-05 3.888504e-05 4.593132e-05 5.897999e-05 0.00039589667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001963303 0.00013962078 0.000186596 0.00017746192 0.00014118661 9.734308e-05 0.00022443713 0.00014249148 0.00012892086 0.00013518422 0.00013179157 0.00010960883 9.864795e-05 8.873096e-05 0.00013492325 0.00037554072 0.00075447414 6.18507e-05 7.803105e-05 0.00010047476 0.0001148283 0.00012422334 0.00012004777 0.000108042994 0.00010543326 0.00014953777 8.168468e-05 4.6975212e-05 4.801911e-05 5.1933708e-05 7.437742e-05 0.00065243355 0.00020173244 2.2443714e-05 2.1660793e-05 2.0094953e-05 1.9573006e-05 2.6619287e-05 1.9833979e-05 1.3570618e-05 3.0533887e-05 2.6880261e-05 1.3831591e-05 2.45315e-05 2.4792475e-05 1.8268138e-05 2.1138847e-05 2.8968048e-05 0.0002727172 4.201672e-05 3.9667957e-05 3.5753357e-05 3.6275305e-05 5.7675123e-05 7.0201844e-05 4.279964e-05 4.3843535e-05 4.9063e-05 5.062884e-05 4.149477e-05 9.316751e-05 9.786503e-05 5.062884e-05 4.51484e-05 0.08686943 0.06165262 0.07304463 0.058431424 0.05943591 0.063928306 0.05345127 0.05352904 0.058587227 0.05661479 0.052825455 0.05758274 0.062825434 0.056951184 0.06077105 0.06372397 7797.0 5.6339617 43928.0 0.017551448 0.013931888 0.008787106 0.0076716444 0.014000182 0.015980696 0.009606629 0.01293025 0.014569296 0.016914042 0.008126935 0.009378984 0.011336733 0.01529776 0.009424513 0.012315608 0.014569296 0.014136769 0.010585504 0.009151339 0.008969222 0.008263522 0.007079767 0.0074667637 0.011541613 0.009925332 0.010562739 0.009401748 0.009606629 0.0074667637 0.01001639 0.008058641 0.01720998 0.0095611 0.010335093 0.0063285376 0.01006192 0.008627755 0.007603351 0.0067155347 0.012816427 0.011336733 0.010608268 0.010403387 0.013112365 0.007170825 0.008809871 0.007876526 0.013522127 0.011746494 0.012588781 0.0094472775 0.011655436 0.010403387 0.010790384 0.010926971 0.01242943 0.011200146 0.011792024 0.010608268 0.011632672 0.010699326 0.011700965 0.012907485 0.014159534 0.009902568 0.010175742 0.0072391187 0.009948097 0.010039155 0.009287925 0.007352941 0.011951375 0.010175742 0.008513932 0.009128574 0.00910581 0.0069204154 0.007535057 0.008263522 0.011336733 0.009401748 0.0099708615 0.007944819 0.011951375 0.009743216 0.009401748 0.008946458 0.009765981 0.008149699 0.0075805862 0.008331816 0.010858678 0.010175742 0.009378984 0.010107448 6.5479336 0.0 0.0 0.0 25.0 1917440.0 4804608.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 1500727900.0 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 -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 14.0 0.0 5.0 1.0 5.0 1.0 66560.0 1024.0 4096.0 7.0 0.0 0.0 5.0 7.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 1802752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7680.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 7.319111 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.8572161 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.967756 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2514844 0.0 0.0 7.946092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.7230525 0.0 0.0 1.1741089 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 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2846720.0 0.0 0.0 1806336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15488.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 131181.0 15488.0 114688.0 0.0 0.0 0.0 0.0 8.0 131576.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.57128906 0.009765625 0.0032552083 0.0013020834 0.0078125 0.00032552084 0.0013020834 0.00032552084 0.0013020834 0.00032552084 0.0016276041 0.00032552084 0.0016276041 0.0009765625 0.0013020834 0.0 0.005533854 0.0 0.00032552084 0.0 0.00032552084 0.0 0.0 0.0 0.0 0.00032552084 0.0 0.0 0.001953125 0.00032552084 0.0 0.00032552084 0.0133463545 0.0016276041 0.0 0.0 0.0016276041 0.0 0.00032552084 0.0 0.0013020834 0.0006510417 0.00032552084 0.0 0.0 0.00032552084 0.005859375 0.00032552084 0.00390625 0.0016276041 0.0013020834 0.0 0.0016276041 0.00032552084 0.0 0.00032552084 0.0006510417 0.0 0.0 0.0 0.00032552084 0.0 0.0 0.00032552084 0.0022786458 0.019205729 0.00032552084 0.001953125 0.039713543 0.0009765625 0.0026041667 0.017903646 0.00032552084 0.020182291 0.0 0.0 0.0026041667 0.0016276041 0.019856771 0.0016276041 0.01953125 0.0 0.0035807292 0.001953125 0.0016276041 0.0009765625 0.0035807292 0.00032552084 0.018554688 0.00032552084 0.00032552084 0.0 0.0006510417 0.0 0.0 0.0006510417 0.0 0.009114583 0.0026041667 0.006184896 0.008463542 0.0133463545 0.0068359375 0.004231771 0.0009765625 0.013671875 0.0 0.0 0.0048828125 0.0026041667 0.0100911455 0.011067708 0.0022786458 0.0 0.013671875 0.0081380205 0.0071614585 0.0026041667 0.0016276041 0.0 0.00032552084 0.001953125 0.0013020834 0.0 0.0 0.0 0.00032552084 0.0 0.0026041667 0.0 0.0 0.0 0.00032552084 0.0 0.0 0.0 0.0006510417 0.0006510417 0.00032552084 0.0 0.0022786458 0.00032552084 0.0 0.00032552084 0.00032552084 0.00032552084 0.00032552084 0.00032552084 0.0 0.0 0.0 0.0 0.0009765625 0.0 0.0 0.00032552084 0.00032552084 0.00032552084 0.0 0.0 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001953125 0.0 0.0 0.0 0.00032552084 0.0 0.0 0.0009765625 0.0 0.0 0.0 0.00032552084 0.0 0.00032552084 0.0 0.001953125 0.0 0.00032552084 0.0 0.00032552084 0.00032552084 0.00032552084 0.0 0.0 0.00032552084 0.0 0.0 0.00032552084 0.00032552084 0.0 0.0 0.0006510417 0.0 0.0 0.0 0.00032552084 0.0016276041 0.0 0.0 0.0 0.0 0.0 0.0 0.0006510417 0.0013020834 0.0 0.0 0.00032552084 0.0 0.0 0.0 0.0 0.0 0.0 0.0006510417 0.0006510417 0.0 0.0 0.0 0.0009765625 0.0 0.0 0.0 0.0006510417 0.0026041667 0.0 0.0 0.0 0.0 0.00032552084 0.00032552084 0.0009765625 0.0 0.0 0.0 0.0006510417 0.0 0.0 0.0 0.00032552084 0.0 0.0 0.0006510417 0.0 0.0 0.0009765625 0.0006510417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.37451172 0.006591797 0.012939453 0.0061035156 0.012207031 0.0087890625 0.03540039 0.018554688 0.0056152344 0.0024414062 0.0024414062 0.0034179688 0.0026855469 0.0021972656 0.0031738281 0.0029296875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2487793 0.0017089844 0.013183594 0.0063476562 0.095214844 0.03540039 0.061035156 0.02319336 0.0034179688 0.0017089844 0.0007324219 0.001953125 0.0017089844 0.00048828125 0.0036621094 0.0014648438 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 66.375 531.0 0.013182675 0.0018832391 0.0 0.0 0.0056497175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013182675 0.0 0.0037664783 0.0018832391 0.0018832391 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018832391 0.1054614 0.0 0.0 0.2109228 0.0 0.0 0.10357816 0.0 0.10357816 0.0 0.0 0.0 0.0 0.10357816 0.0018832391 0.1054614 0.0 0.0 0.0018832391 0.0018832391 0.0 0.0 0.0 0.1054614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015065913 0.0037664783 0.0075329565 0.009416196 0.0037664783 0.0 0.0037664783 0.0018832391 0.0037664783 0.0 0.0 0.0 0.0037664783 0.0075329565 0.0056497175 0.0018832391 0.0 0.02259887 0.0075329565 0.0075329565 0.0018832391 0.0 0.0 0.0 0.0 0.0056497175 0.0 0.0 0.0 0.0 0.0 3.651098 0.0 0.0 0.0 1.0 3072.0 12288.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 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 10.0 0.0 14.0 0.0 10.0 0.0 6.0 0.0 0.0 512.0 4096.0 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 0.0 512.0 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 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2382371 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8885324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1604.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 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


Input: 0.67144775 0.0059116906 0.002833775 0.0024501255 0.0037580219 0.0017089844 0.0010724749 0.0021623883 0.004106794 0.00096784317 0.0011771066 0.0006452288 0.0025547573 0.0012032645 0.00047956195 0.0020141602 0.0032871792 0.000453404 0.00039236885 0.00034005303 0.0013514927 0.0014299665 0.00057547435 0.0003226144 0.0012468611 0.0004359654 0.0003313337 0.00040108818 0.0007324219 0.00052315847 0.00037493024 0.00038364955 0.004071917 0.0011160715 0.0005144392 0.0005493164 0.002633231 0.00035749163 0.00027029854 0.0002179827 0.00069754466 0.0003313337 0.00027029854 0.0007498605 0.00046212334 0.00038364955 0.00057547435 0.00036621094 0.00070626393 0.0006190709 0.00031389509 0.0043509346 0.0005405971 0.0009940012 0.000453404 0.00020054409 0.00060163223 0.0010637556 0.000453404 0.002293178 0.00047084264 0.0006888253 0.0004098075 0.0008806501 0.008902414 0.0032523018 0.0004185268 0.0009765625 0.0070364815 0.002859933 0.0014910017 0.0036097935 0.00096784317 0.0030691964 0.00040108818 0.00037493024 0.0012381418 0.0019967216 0.0031389508 0.0007324219 0.005031041 0.0006713867 0.00071498327 0.0019967216 0.00081089564 0.001613072 0.002179827 0.0018223354 0.0031912667 0.0027901786 0.00036621094 0.0006713867 0.0005841936 0.0011771066 0.001726423 0.0009242467 0.0006190709 0.0017787388 0.00031389509 0.00093296595 0.0013776507 0.003479004 0.00365339 0.0005318778 0.0024239677 0.0019705635 0.0022757393 0.000566755 0.001613072 0.0008370536 0.0017961775 0.001953125 0.0015520368 0.0003226144 0.0024414062 0.0013602121 0.0063825333 0.0057809013 0.0010288784 0.0010550363 0.00084577285 0.00059291295 0.0004446847 0.00027029854 0.00069754466 0.0012207031 0.00046212334 0.00059291295 0.0037754604 0.0010637556 0.00047084264 0.0052228654 0.0012032645 0.0025547573 0.0005405971 0.00047084264 0.0016305106 0.0038975307 0.0010463169 0.009225028 0.0005318778 0.002546038 0.00040108818 0.0009242467 0.00071498327 0.00026157923 0.00050571986 0.00028773717 0.00037493024 0.00046212334 0.00026157923 0.00019182477 0.0006452288 0.002319336 0.00037493024 0.00040108818 0.00061035156 0.00020054409 0.00014822824 0.00023542132 0.00060163223 0.0010114397 0.00026157923 0.0007585798 0.000453404 0.0004359654 0.0002179827 0.00016566685 0.00031389509 0.00060163223 0.0002092634 0.00047956195 0.0003226144 0.00031389509 7.847377e-05 0.00020054409 0.0004446847 0.00016566685 0.0002179827 0.0002179827 0.00029645648 0.0005841936 0.0006190709 0.00089808874 0.0010288784 0.0004359654 0.0003226144 0.00040108818 0.000453404 0.00050571986 0.00027029854 0.00034877233 0.0035749164 0.001299177 0.00047956195 0.0026506695 0.0012032645 0.00030517578 0.0012468611 0.0015607561 0.0007672991 0.0013427734 0.00035749163 0.00034005303 0.003540039 0.00025285993 0.00030517578 0.00029645648 0.0006626674 0.00059291295 0.00039236885 0.00068010605 0.0004970006 0.00016566685 0.00060163223 0.00047084264 0.0007411412 0.00031389509 0.00035749163 0.00059291295 0.00062779017 0.00040108818 0.00020054409 0.00023542132 0.0010724749 0.00036621094 0.00026157923 0.0005318778 0.00113351 0.00026157923 0.00040108818 0.00029645648 0.0055018836 0.00082833425 0.0006365095 0.002205985 0.0023018974 0.00030517578 0.00038364955 0.0006190709 0.0017613003 0.00046212334 0.0004272461 0.00061035156 0.0007324219 0.00025285993 0.0009416853 0.0014822824 0.0020490375 0.0006452288 0.0004098075 0.00082833425 0.0021362305 0.00047956195 0.0016915457 0.020193918 0.5135135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008516328 1.3196791e-05 1.7595721e-05 3.959037e-05 2.6393582e-05 6.598395e-05 0.0 5.2787163e-05 8.3579675e-05 4.3989303e-06 0.0 0.0 7.478181e-05 1.3196791e-05 4.39893e-05 5.718609e-05 0.008415153 2.6393582e-05 4.8388232e-05 5.718609e-05 3.5191442e-05 3.079251e-05 3.079251e-05 3.959037e-05 5.718609e-05 4.39893e-05 3.079251e-05 3.5191442e-05 5.2787163e-05 4.39893e-05 2.6393582e-05 3.5191442e-05 0.007962064 9.6776464e-05 0.000109973254 1.7595721e-05 0.006875528 0.0023490288 0.00016276042 8.79786e-05 3.959037e-05 4.39893e-05 1.7595721e-05 2.199465e-05 3.079251e-05 5.718609e-05 1.3196791e-05 0.0001319679 0.007799303 4.8388232e-05 8.79786e-05 2.6393582e-05 4.39893e-05 2.6393582e-05 3.959037e-05 0.00014956362 0.00031672296 3.079251e-05 3.959037e-05 2.6393582e-05 4.8388232e-05 5.2787163e-05 6.158502e-05 0.00021114865 0.033770587 0.0006334459 0.00046188766 0.00020235078 0.00448251 0.0016759924 0.00088418496 0.00057186093 0.00050587696 0.00038270693 0.00028593047 0.00022874436 0.00023754223 0.00012317004 0.00019355293 0.00040470157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012655722 0.00027273368 0.00058945664 8.79786e-05 0.0007390203 0.0003343187 0.0012756898 0.00076541386 0.00010117539 0.00057186093 0.0001759572 9.237754e-05 6.598395e-05 8.3579675e-05 9.237754e-05 0.00011437218 0.009774423 0.00019795186 0.0003079251 0.00018475507 0.00106894 0.0006510417 0.0026657516 0.0014340512 0.00069503096 5.718609e-05 5.718609e-05 7.918074e-05 0.00032552084 0.00010117539 0.00015396255 0.0002639358 0.010121939 0.00034311655 0.0011261262 0.0009721636 0.0046980577 0.0018079603 0.0034487613 0.0015616202 0.00048828125 0.0005278716 6.158502e-05 3.079251e-05 0.00065983954 8.79786e-05 0.00019795186 0.0008929828 0.011982686 0.0008929828 0.0017903646 0.0007170256 0.0007874085 0.0006730363 0.0038358672 0.0023622254 0.0010425465 0.00050147803 0.00020235078 0.0002463401 0.00076101493 0.00031232403 0.00035631334 0.0005630631 0.018440315 0.00025513794 0.00057625986 0.002071896 0.0021070875 0.001130525 0.003844665 0.002401816 0.0012756898 0.002071896 0.00015396255 0.00062024913 0.002010311 0.00031672296 0.0023182363 0.0054502743 0.0076585375 0.0003959037 0.00062024913 0.0005146748 0.00085339247 0.0006510417 0.0010953336 0.0007522171 0.0006114513 0.0008006053 0.0004662866 0.00046188766 0.0005146748 0.0005146748 0.0005806588 0.0015264287 0.013201189 0.0017991625 0.0017991625 0.0017287795 0.0034883516 0.0023974169 0.0018035613 0.0024458051 0.0053359023 0.0006994299 0.0009325732 0.0014076576 0.0020059121 0.0011217272 0.0017991625 0.0030792512 0.038292687 0.0071438625 0.005243525 0.007970861 0.014969559 0.0139402095 0.00637405 0.012176239 0.024510838 0.001948726 0.0035147453 0.0034883516 0.012246622 0.0043681376 0.010869756 0.022131018 0.0007742117 0.0004794834 0.0008006053 0.000567462 0.00053666945 0.00067743525 0.00073462137 0.00038710586 0.0007214245 0.00033871763 0.0005278716 0.0005146748 0.0006334459 0.00034751548 0.00054106844 0.00042669624 286.0 22.482517 6430.0 0.038102645 0.0024883358 0.0037325039 0.000777605 0.0018662519 0.00062208396 0.00046656298 0.000777605 0.001399689 0.00062208396 0.00046656298 0.0012441679 0.001399689 0.0037325039 0.0049766717 0.0021772939 0.00466563 0.0049766717 0.0024883358 0.002643857 0.0010886469 0.0010886469 0.003576983 0.00093312596 0.002021773 0.0024883358 0.002021773 0.00093312596 0.0012441679 0.001399689 0.0010886469 0.000777605 0.0024883358 0.05178849 0.00155521 0.0059097977 0.09440125 0.0051321927 0.00466563 0.05147745 0.00311042 0.048989113 0.001710731 0.001710731 0.006065319 0.00622084 0.047122862 0.002332815 0.054432347 0.0021772939 0.007153966 0.01399689 0.005443235 0.0037325039 0.0118195955 0.010108865 0.0466563 0.003888025 0.00093312596 0.001710731 0.0018662519 0.001710731 0.0024883358 0.001710731 0.0010886469 0.02659409 0.0043545878 0.015085537 0.013219285 0.05007776 0.006065319 0.0066874027 0.0087091755 0.027527217 0.002643857 0.002332815 0.020528771 0.011508553 0.029393468 0.029082427 0.011664075 0.0010886469 0.02970451 0.017573873 0.038724728 0.014930015 0.003888025 0.005443235 0.003576983 0.006998445 0.0041990667 0.00062208396 0.00062208396 0.00062208396 0.000777605 0.0018662519 5.3810005 0.0 0.0 0.0 3.0 114688.0 118784.0 1.0 0.0 72.0 0.0 1.0 0.0 0.0 0.0 1134711000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 28672.0 4096.0 4096.0 5.0 0.0 0.0 2.0 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 8192.0 0.0 0.0 -61440.0 0.0 0.0 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 -28672.0 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 0.0 0.0 5.5481396 0.0 0.0 -0.5581192 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1260154 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.654888 0.0 4.151535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7458.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25732.0 0.0 5872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 38492.0 5872.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 33120.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 37648.0 0.0 0.0 300.0 32768.0 0.0 0.0 0.0 0.0