Input: 0.060337704 0.0039549964 0.003602859 0.0034253353 0.0042401985 0.0034049638 0.0035795772 0.0030266345 0.0044759265 0.0036290511 0.0034835397 0.004426453 0.0036639736 0.0036203205 0.0037803827 0.003888061 0.00451958 0.003538834 0.003253632 0.003407874 0.0030586468 0.0032594525 0.0031226717 0.003087749 0.003436976 0.0043682484 0.0036988964 0.0030353651 0.0035359238 0.0032914649 0.0037396397 0.0029364175 0.003783293 0.0032070684 0.0034573476 0.0037774725 0.004571964 0.0034951807 0.0033875024 0.0030411854 0.0034689887 0.0041354303 0.0031052104 0.0029364175 0.0030819287 0.0038182156 0.0033991432 0.003797844 0.0032856443 0.0033409388 0.0031488638 0.0032332605 0.003087749 0.0033584 0.0030149934 0.0034631682 0.0033933227 0.0035853977 0.002930597 0.0035068216 0.0029771605 0.003410784 0.0032710934 0.0033031057 0.007188257 0.0049502933 0.0038647794 0.0034282454 0.005305341 0.012548892 0.0032332605 0.004892089 0.003681435 0.0039084326 0.0034515273 0.00426348 0.0035533851 0.0053780964 0.0044759265 0.0033904125 0.0060619996 0.005075433 0.0031459536 0.0032361706 0.0034835397 0.004106328 0.0036727043 0.0038560487 0.0040277517 0.0029480583 0.004024842 0.003847318 0.0032972854 0.0032914649 0.003527193 0.0035737567 0.0036465123 0.0035592057 0.0034689887 0.0043857098 0.0035213728 0.0034166046 0.0035679364 0.0038502282 0.0038560487 0.00464472 0.004158712 0.0033118364 0.003655243 0.0039724577 0.004091777 0.0037018068 0.004353697 0.0032478115 0.0031459536 0.0035184624 0.0038560487 0.0034136944 0.0037629213 0.002933507 0.0035330136 0.0032914649 0.003835677 0.0038909714 0.0029160457 0.0039026123 0.0028753027 0.002799637 0.00503178 0.0036377816 0.0039957394 0.003966637 0.003137223 0.004996857 0.0029888013 0.0039055224 0.0041266996 0.004379889 0.003576667 0.0065392763 0.0033409388 0.0045486824 0.0035795772 0.0033118364 0.0040277517 0.0031866967 0.0044002607 0.0035795772 0.0035592057 0.0029946219 0.0030179038 0.003783293 0.0029247764 0.0029102254 0.0029422378 0.0029858912 0.0038909714 0.0033758613 0.0028287391 0.0035097317 0.0030586468 0.0029946219 0.0028345594 0.0034253353 0.0033875024 0.0038065747 0.00284329 0.003320567 0.0029946219 0.0042663906 0.0033554898 0.0028578413 0.0031197616 0.00323035 0.0032419912 0.00323035 0.0030790186 0.002723971 0.0033147468 0.0032769137 0.0029218663 0.002776355 0.0047087446 0.0029771605 0.0041266996 0.0034049638 0.0030499161 0.003111031 0.0031430435 0.0037192681 0.0044206325 0.0033147468 0.003963727 0.0035941284 0.0037629213 0.0033031057 0.004298403 0.0033496695 0.010753282 0.003821126 0.003899702 0.0034806295 0.0028694822 0.00426348 0.006146396 0.0029218663 0.002892764 0.0030790186 0.004304223 0.004056854 0.0027152402 0.0036959862 0.0029858912 0.0027792652 0.0031197616 0.0042663906 0.0039346246 0.004097597 0.0034660783 0.0042081857 0.0030964797 0.003498091 0.0030848389 0.002907315 0.003204158 0.0037396397 0.0030149934 0.0039549964 0.0029917117 0.0032914649 0.0030906594 0.0035941284 0.004970665 0.0034922704 0.0028607515 0.003885151 0.0037338191 0.0034427966 0.0030819287 0.003771652 0.003963727 0.0032099786 0.0035330136 0.0036756147 0.0032769137 0.004225647 0.0032856443 0.0034049638 0.00399865 0.0039404454 0.0030033526 0.0037658317 0.004592336 0.0030790186 0.0037018068 0.0062046004 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.053814735 0.05226802 0.053558897 0.050380684 0.056452036 0.05412612 0.05477083 0.052287027 0.0547182 0.050961066 0.049854394 0.05204581 0.052965358 0.05367439 0.051158424 0.05127538 1255.0 8.159363 10240.0 0.009277344 0.007519531 0.0071289064 0.006640625 0.0067382813 0.008007812 0.0064453124 0.006640625 0.007714844 0.006640625 0.0069335937 0.005859375 0.00703125 0.0063476562 0.007714844 0.0051757814 0.0068359375 0.0064453124 0.007421875 0.010058594 0.00625 0.006152344 0.00703125 0.007519531 0.0072265626 0.007714844 0.007714844 0.00703125 0.0051757814 0.007421875 0.0063476562 0.005859375 0.0073242188 0.038183592 0.0068359375 0.007519531 0.07167969 0.007910157 0.0072265626 0.041308593 0.00703125 0.039355468 0.006640625 0.005957031 0.0072265626 0.009179687 0.037890624 0.006640625 0.040527344 0.008007812 0.0068359375 0.007910157 0.0068359375 0.0060546873 0.0073242188 0.008203125 0.038867187 0.0078125 0.0065429686 0.0063476562 0.005957031 0.0060546873 0.0069335937 0.010839844 0.0068359375 0.011035156 0.007421875 0.008984375 0.012792969 0.019238282 0.008105469 0.010351563 0.00703125 0.011035156 0.0078125 0.0065429686 0.011230469 0.0107421875 0.01171875 0.011230469 0.007421875 0.005957031 0.011132812 0.010839844 0.0146484375 0.0078125 0.00625 0.0067382813 0.00703125 0.0067382813 0.0069335937 0.006152344 0.00625 0.0071289064 0.0071289064 0.0067382813 6.192048 0.0 0.0 0.0 9.0 343616.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -2.0 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 -1.0 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 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 -1.0 -1.0 1.0 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 -2.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.2191466 0.03088932 0.0075956574 0.0059633437 0.005836987 0.006781968 0.0044282367 0.0026438588 0.008221475 0.0022333418 0.002705603 0.002070489 0.0024730875 0.002771708 0.001321413 0.014593959 0.0069440175 0.0027697568 0.0018468107 0.0013271513 0.0020357152 0.003434136 0.0012100902 0.0013658274 0.0037879588 0.0021672368 0.0010805196 0.0012473891 0.0012874423 0.0012418804 0.0009346524 0.002308169 0.00822595 0.0015812427 0.0014048477 0.0009844607 0.019618634 0.0010905042 0.0008423807 0.000809902 0.0046411273 0.0010451718 0.0008773843 0.0019092433 0.0012901967 0.0011198843 0.001008791 0.00088438496 0.005764684 0.0009798701 0.0021044598 0.0047258246 0.002190075 0.0010059219 0.00081036106 0.0007203847 0.0041521103 0.0024230496 0.00084892235 0.0034805012 0.001218009 0.0011586752 0.0008730232 0.0018667799 0.009371542 0.009906236 0.0019390823 0.0028958844 0.011721257 0.006216058 0.0014415728 0.0015316638 0.057704225 0.0070095486 0.0009962816 0.0017536208 0.011318314 0.004094498 0.0012006795 0.0011818578 0.00521794 0.0009966259 0.0012201896 0.001826038 0.0032615282 0.0030042233 0.001992219 0.0021853696 0.00245966 0.0010309408 0.0007317465 0.0013896986 0.0032163104 0.0014189639 0.0014095531 0.0027389997 0.0032375422 0.0024205246 0.001163151 0.002442904 0.0022972664 0.0028265659 0.0040573142 0.0012996075 0.0029710562 0.0028235822 0.000842725 0.0011725618 0.002846191 0.0014719857 0.0026039204 0.0029788602 0.004803062 0.001159249 0.0031367778 0.0031045286 0.010326853 0.006112884 0.0012284528 0.001235224 0.0030043381 0.0012946726 0.00063637615 0.0009100925 0.0019600845 0.00107788 0.00091835565 0.0011599376 0.00846432 0.0018667799 0.00060447125 0.009628847 0.0042384146 0.0072575575 0.00073668145 0.001011775 0.0030187985 0.015856955 0.0012002203 0.03290197 0.0009891661 0.015982624 0.0006907751 0.0010055776 0.0035858562 0.00048224573 0.00061089813 0.0010250878 0.0006910047 0.0006294902 0.00044689787 0.00047490073 0.0013882066 0.0005156426 0.0003623155 0.00038492438 0.0008945991 0.00046445703 0.00041189432 0.00048006518 0.0020215989 0.000587945 0.0005778456 0.0006218009 0.00074035395 0.0007256639 0.00059815915 0.0006083733 0.0015984576 0.000620309 0.00074632175 0.00063144125 0.00078717835 0.0006308674 0.00055799115 0.00081460737 0.002183648 0.00049567333 0.0005671724 0.00052264327 0.000685955 0.00052585674 0.0023551083 0.0013094774 0.0022385062 0.0011218353 0.0014398512 0.0008057704 0.0007233686 0.0009547364 0.00059884775 0.0009071086 0.008137007 0.003649666 0.0017025501 0.004370739 0.0032297382 0.0009042394 0.0026790919 0.0041480935 0.0044245645 0.0024818096 0.0009550807 0.0018114628 0.02206544 0.0007250901 0.0014230955 0.0016492988 0.0026405307 0.0010426469 0.0018736658 0.0011152937 0.0006399339 0.0005792228 0.00081208255 0.0010559597 0.001982349 0.0010340395 0.0006425735 0.0011336562 0.0005722221 0.00048718066 0.0005544334 0.0005804852 0.0024931715 0.0010265798 0.00072049943 0.00078178436 0.0009040099 0.0008282645 0.00063913054 0.0006574931 0.0122922165 0.0032893016 0.0009507196 0.0028527325 0.002622742 0.0009195033 0.00082183763 0.0008970092 0.0029292814 0.00085316866 0.0017284872 0.0015611587 0.0009145684 0.0007670944 0.0018805518 0.0012245507 0.0030169624 0.0014970046 0.0011701518 0.00081632886 0.00091766706 0.0009660982 0.0021434801 0.034975898 0.024594786 3.6156227e-06 9.354707e-06 7.059073e-06 5.968647e-06 1.0445133e-05 1.2683376e-05 5.796475e-06 8.89558e-06 5.2225664e-06 2.3530245e-06 4.0747495e-06 2.467806e-06 9.756443e-07 3.6730137e-06 5.279957e-06 0.0022364636 3.7877953e-06 4.706049e-06 2.5251968e-06 2.9843236e-06 4.8208303e-06 1.6585953e-05 4.246922e-06 1.8881587e-05 3.0417143e-06 1.0904259e-06 1.8938977e-06 2.7547603e-06 1.3199892e-06 8.264281e-06 3.7361435e-05 0.0034576259 2.25546e-05 1.1133822e-05 1.8996367e-05 9.067752e-06 5.8538653e-06 4.3444863e-05 2.054592e-05 5.9916034e-05 6.4277738e-06 6.5999466e-06 4.993003e-06 0.00032494692 4.4190947e-06 3.4836237e-05 8.2413244e-05 0.0064808605 6.972987e-05 2.3472852e-05 1.4347709e-05 2.1980692e-05 1.6298998e-05 0.00013412238 3.5123194e-05 0.00017188556 1.8250286e-05 1.2052076e-05 1.5380745e-05 2.3415461e-05 1.28555475e-05 0.00013205632 0.00034049983 0.010684969 0.00016362128 0.000111510395 0.00012534158 0.00014296058 0.0001328024 0.00025963614 0.000108698245 0.00043002955 8.384801e-05 3.6156227e-05 4.298574e-05 0.00014847009 5.5324766e-05 6.5540335e-05 0.001747551 0.0168317 0.00032540606 0.00038882293 0.00013320413 0.00032098696 0.00014359188 0.0011205561 0.0005238062 0.0003013019 0.00020075316 0.00011437994 0.00012482508 0.00015076573 0.0001453136 0.00013125285 0.0018454024 0.026382683 0.0007907884 0.0011860391 0.0003984072 0.0006295201 0.00044839462 0.002177638 0.0012484229 0.00047026054 0.00062349404 0.00021774085 0.00020884526 0.00020172879 0.00021911821 0.00024758407 0.0016908488 0.010543616 0.00045246936 0.0004378347 0.00030927922 0.00053717825 0.00054791034 0.0018646857 0.0010155883 0.00052351924 0.00011363386 0.00010169656 9.360446e-05 0.00013934495 0.000120463366 0.00012493985 0.0024677487 0.009597986 0.0004754831 0.0007041856 0.0008680364 0.0015942601 0.0008927145 0.0038768658 0.0025177936 0.0005656441 0.00012522681 0.00010072092 0.0001152408 0.00012757983 0.00012666157 0.0001823307 0.0014014842 0.0150925275 0.0010465793 0.0012170301 0.0014953756 0.0023253046 0.0016233573 0.005389803 0.0035326357 0.0010896225 0.00024391107 0.00022646425 0.00022594773 0.000867979 0.00022147124 0.0002913159 0.0013118972 0.033781797 0.0035648893 0.0025379376 0.0036882795 0.0024649939 0.0030585874 0.0038406523 0.0032162399 0.002292018 0.0008111047 0.00069638045 0.00066630763 0.0015221772 0.00070636644 0.0009239351 0.0056923674 0.01731826 0.002140793 0.0019420485 0.002059011 0.0017398032 0.0017649978 0.0020015056 0.0018049992 0.0016592839 0.0008904188 0.0039254758 0.00080083177 0.0014797654 0.0008187377 0.0013749123 0.004235903 0.017516946 0.0027924087 0.0033672927 0.0023506714 0.009950309 0.0021759162 0.0021052682 0.0024389385 0.008917274 0.0010477846 0.0009396602 0.0016166999 0.005596869 0.0011670426 0.004131509 0.0033494441 0.11061774 0.019422667 0.03001822 0.019108968 0.096317835 0.019532684 0.011750372 0.02163164 0.07771781 0.007199738 0.00529046 0.011588874 0.04630356 0.010933643 0.020875975 0.028008565 0.014072463 0.0034226747 0.0050986595 0.003370277 0.01393903 0.0034608396 0.0025441933 0.0036842048 0.010967217 0.0012262126 0.0009284116 0.0016541762 0.0072199395 0.0019330956 0.0039075124 0.004846599 0.00046199624 0.0002899385 0.00027467255 0.00037022828 0.00028965157 0.0002805838 0.00031094355 0.00027536124 0.00027013867 0.00024764147 0.00026778565 0.00026962216 0.0002505684 0.00027886208 0.00026175962 0.00030170364 27312.0 12.475066 340719.0 0.02093514 0.0010272395 0.00078363693 0.0008599462 0.043666482 0.0016699978 0.0006339535 0.0008511413 0.0048104157 0.0013148665 0.0006750431 0.003589468 0.0012913868 0.0012150775 0.005142067 0.0012326874 0.010334029 0.0027647417 0.0037420867 0.011017877 0.0044993088 0.0018901206 0.001467485 0.00093038543 0.0070351227 0.0058875494 0.0010771339 0.006436389 0.0015379242 0.0006222136 0.0006339535 0.012323938 0.07336838 0.0648511 0.0027001724 0.0054208892 0.0223586 0.01166357 0.0023244962 0.002063284 0.031782787 0.0065772673 0.00064862834 0.0010154996 0.009459408 0.0033752155 0.0019136004 0.0016905427 0.008323574 0.00082472654 0.0020398041 0.0072640507 0.009629636 0.023221482 0.020861765 0.018534334 0.0026620177 0.0009274505 0.00087168603 0.0033253208 0.008065297 0.010586436 0.0153322825 0.029845709 0.003114003 0.025575327 0.009934873 0.018152788 0.0106979655 0.035348777 0.013814903 0.0101726055 0.0071583916 0.03175344 0.0004960099 0.0026854975 0.017272297 0.009614961 0.025995027 0.036232203 0.019951925 0.0026473429 0.02909729 0.029672546 0.049862202 0.014052636 0.0041353726 0.0041441773 0.009077862 0.00486031 0.0007513523 0.0005459044 0.0036129479 0.00088342594 0.00095386524 0.0023039514 5.6470995 1.0 61.0 0.0 20.0 8713400.0 8859648.0 1.0 15.0 444.0 1.0 1.0 1.0 1.0 0.0 1543289500.0 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 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 11.0 6.0 0.0 6.0 0.0 5706240.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -58368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2066432.0 0.0 0.0 0.0 0.0 265728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -309248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5706240.0 0.0 292864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.462929 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.740948 0.0 0.0 0.0 0.0 6.50721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1650505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4082365 0.0 3.618057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2066248.0 0.0 0.0 0.0 0.0 265332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -454276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5705764.0 0.0 292528.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 3.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 -2.0 -1.0 2.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 -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 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -3.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 -1.0 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 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 2.0 1.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 -1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 436.0 7767760.0 200.0 7768196.0 292528.0 8503296.0 265332.0 8237056.0 13496.0 8699904.0 58164.0 8798208.0 84.0 6856048.0 0.0 0.0 0.0 0.0 40.0 6856136.0 248.0 5862512.0 0.0 0.0 3624.0 5713920.0 320.0 7764304.0 0.0 0.0


Input: 0.10275319 0.004302227 0.0016008287 0.0013889542 0.0016832242 0.0011594237 0.0024365555 0.0014183812 0.00096520555 0.0012653609 0.0010887989 0.00046494656 0.00049437355 0.00074156036 0.0008828099 0.00037666556 0.0010476011 0.0005179152 0.27360633 0.0011770799 0.00041786337 0.00037078018 0.0007062479 0.00071801874 0.00081807055 0.00095343473 0.00062385236 0.00077098736 0.0007651019 0.0015302039 0.0012123924 0.0014066105 0.0030427515 0.0016773388 0.0024071285 0.017444324 0.0011535384 0.0010711427 0.0017891615 0.0044552474 0.07312021 0.0034076462 0.002666086 0.0013889542 0.0008416121 0.0008416121 0.0013948397 0.0008828099 0.002460097 0.0011417675 0.0009181223 0.04101535 0.00077098736 0.0010829135 0.00040020718 0.00045906115 0.00056499837 0.00059442536 0.035918593 0.00043551956 0.00064150855 0.00064150855 0.00044729037 0.00037666556 0.0014301521 0.0007945289 0.0008416121 0.00068859174 0.0005179152 0.0007239041 0.0039549884 0.00061208155 0.0006356232 0.0005767692 0.00017656198 0.00026484297 0.00055322755 0.00034723856 0.00062973774 0.00040609256 0.00045906115 0.0003178116 0.00047083196 0.0009416639 0.00064150855 0.0008121851 0.00035312396 0.00053557137 0.00030015537 0.00033546778 0.00043551956 0.0006768209 0.00060031074 0.0006768209 0.0010240595 0.0013595272 0.0015243185 0.0030015537 0.0019068695 0.0020834315 0.0021128585 0.0039432175 0.0016184849 0.00544988 0.073673435 0.005850087 0.0021010877 0.00093577855 0.0023070767 0.0010887989 0.0020069212 0.0021422855 0.0012359339 0.00044140496 0.0021599417 0.0020128067 0.0021599417 0.00078864355 0.0007239041 0.00087692455 0.00059442536 0.00068859174 0.00052380055 0.00050025893 0.00046494656 0.00037078018 0.00046494656 0.00038255096 0.00083572674 0.00049437355 0.00080629974 0.00031192618 0.00030015537 0.00040020718 0.0008886953 0.00041786337 0.00045906115 0.00047083196 0.00035900937 0.00045317577 0.00049437355 0.00046494656 0.00035900937 0.00033546778 0.0004884882 0.00052380055 0.00033546778 0.0005179152 0.00049437355 0.00036489477 0.00043551956 0.0005767692 0.00038255096 0.00026484297 0.00040609256 0.00041197796 0.00036489477 0.00041786337 0.00041786337 0.00038255096 0.00055322755 0.00040020718 0.00048260277 0.0006179669 0.00058265455 0.00037666556 0.00044140496 0.00074156036 0.0007945289 0.00081807055 0.0011299967 0.0017479636 0.0022717642 0.0044140494 0.0009946325 0.0010240595 0.00074744574 0.0012182777 0.0009769764 0.0012359339 0.0010064034 0.0012182777 0.00061208155 0.0006473939 0.0006061962 0.0011005697 0.0017126512 0.002842648 0.0025601487 0.0020893167 0.005644098 0.07756957 0.0021187437 0.00077098736 0.0006768209 0.00070036255 0.0006061962 0.00062973774 0.00065916474 0.0006473939 0.0007356749 0.00060031074 0.00059442536 0.0007062479 0.00074156036 0.0006179669 0.00050025893 0.0006061962 0.00065916474 0.00058853993 0.0005767692 0.00065916474 0.0005473422 0.00055911293 0.00065916474 0.00084749755 0.00065327936 0.00050025893 0.00055322755 0.00074744574 0.0008533829 0.0009710909 0.0012771317 0.0023247327 0.0026837422 0.0049084234 0.0009887471 0.0010593719 0.0009828617 0.0012123924 0.0011711945 0.0011770799 0.0014301521 0.0010005179 0.0010064034 0.0006944771 0.00070036255 0.00062973774 0.00061208155 0.00064150855 0.0006768209 0.00058265455 0.00048260277 0.00053557137 0.00060031074 0.00055322755 0.00056499837 0.00084749755 0.0017185366 0.0042963414 0.00574415 0.0020304627 0.0028014502 0.0040609255 0.009434296 0.021116814 0.036588345 0.024297947 1.7863948e-05 5.9546495e-05 1.1909298e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.465987e-05 0.016923113 4.7637193e-05 0.001256431 2.0841273e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00023818598 0.06436976 0.0005448504 0.007842273 0.00017566216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007985185 0.043483827 0.00036918826 0.008926019 0.00021139006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015383837 0.075659774 0.004474919 0.033250764 0.0024205649 0.0 0.0014707984 0.0 8.931974e-06 0.0 0.0 0.0014678211 5.954649e-06 2.9773246e-06 0.0 0.0 0.0010926782 0.03485554 0.0018995332 0.020981207 0.002146651 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013963652 0.019048924 0.01667302 0.007362924 0.00023520864 0.0 0.0020305354 0.0 0.0 0.0 0.0 0.0020335128 0.0 0.0 0.0 0.0 0.0075475182 0.00229254 0.0024979755 0.00014588892 0.00013100229 8.336509e-05 0.0020722179 0.00042873475 0.00014886624 6.252382e-05 0.00017566216 0.0020067168 0.00013695694 0.00014588892 0.00021436738 0.00020245808 0.023619117 0.0015095036 0.019438952 0.0006311928 0.0018667825 0.0016821885 0.02576279 0.0045344657 0.0007353992 0.0005120998 0.00081578695 0.017914563 0.000586533 0.00052103185 0.00087533344 0.0026527962 0.0047994475 0.00024711795 0.011662181 0.00034834698 0.00044064404 0.00029475515 0.012433308 0.00050019054 0.0002649819 0.00019352611 0.00080090034 0.011927162 0.00037812022 0.0004942359 0.0010033584 0.0029922114 0.004766697 0.0006163062 0.01251965 0.0007681498 0.0010152677 0.0009735852 0.014958079 0.0015988233 0.00044064404 0.00045553068 0.0015779821 0.012790587 0.00078899105 0.00089319743 0.0018042588 0.0050078603 0.0050554974 0.0010480183 0.022716988 0.00086044683 0.00072944455 0.001292159 0.02367271 0.0012087938 0.0010748142 0.0010688596 0.0058980803 0.025113733 0.0022329935 0.0028731183 0.0064488854 0.020656679 0.0029624382 0.0013130002 0.015517816 0.0008812881 0.0007800591 0.0016256192 0.016610494 0.0016315739 0.0014082746 0.0014172066 0.003513243 0.01834032 0.0033494902 0.0031113042 0.0049364045 0.014064882 0.0035459937 0.0014499571 0.0058087604 0.00114627 0.00072944455 0.0016732565 0.0071961936 0.0015660728 0.0013219322 0.0013427734 0.002861209 0.008140006 0.0025366805 0.0031529868 0.003953887 0.008452625 0.004969155 0.0017357803 0.0034090367 0.0029743474 0.0014827077 0.0016018007 0.005079316 0.00203649 0.0016762338 0.0012028392 0.0013040683 0.0027629572 0.0014916396 0.0014469798 0.0013517054 0.0020603086 0.0010718369 0.00038109755 0.000458508 0.0005984423 0.00033346037 0.00031857373 0.00080090034 0.0003840749 0.00028880048 0.00019650343 0.00023818598 0.00019352611 0.00016673018 0.00020245808 0.00021139006 0.0002530726 1314.0 16.878235 22178.0 0.007755433 0.004148255 0.008567048 0.12607089 0.0008116151 0.0007665254 0.003471909 0.00040580754 0.0009017946 0.0013977815 0.0013526919 0.00054107676 0.0009468843 0.0028857426 0.0048696906 0.0045089726 0.007800523 0.0045089726 0.004103165 0.30349895 0.002795563 0.0067183697 0.0013977815 0.00036071782 0.0018937686 0.0016232302 0.2721616 0.0010821535 0.0017584994 0.001983948 0.0014428713 0.00085670484 0.0027053838 0.0039228066 0.003156281 0.0028406528 0.0016683199 0.0025701146 0.02642258 0.002795563 0.0009468843 0.0022544863 0.00013526919 4.5089728e-05 0.0017134097 0.00072143564 0.0025701146 0.0013076022 0.0013076022 0.0 0.0014428713 0.0044187936 0.0022544863 0.000495987 0.000495987 0.0014428713 0.00018035891 0.00013526919 0.00067634595 9.0179456e-05 0.00040580754 9.0179456e-05 9.0179456e-05 0.00085670484 0.00013526919 0.009288484 0.0043737036 0.005095139 0.0050049596 0.016006853 0.0011723329 0.0054107676 0.0028406528 0.010596086 0.0003156281 0.0016683199 0.010596086 0.0050500496 0.010415727 0.011046983 0.004463883 0.0003156281 0.009423753 0.010145189 0.01154297 0.0030210118 0.001983948 0.0023446658 0.0011723329 0.002299576 0.00027053838 4.5089728e-05 4.5089728e-05 9.0179456e-05 0.00022544865 4.5089728e-05 3.6227338 1.0 16.0 0.0 1.0 169912.0 180224.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1526156700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 8704.0 512.0 8192.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 153088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3939557 0.0 4.499742 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8324.0 0.0 152872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 152872.0 24576.0 0.0 0.0 7608.0 162304.0 0.0 0.0 28.0 16204.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8192.0


Input: 0.24647494 0.0064844587 0.0038882934 0.0042038825 0.005079195 0.0025723472 0.0031142074 0.0025902109 0.005043468 0.0022924854 0.0022388948 0.0021019413 0.0038525665 0.0057639633 0.0021317138 0.0041979277 0.0046981066 0.007705133 0.0022924854 0.0017744432 0.003036799 0.0039002025 0.002006669 0.0016553531 0.002792664 0.0018637609 0.0024711206 0.001959033 0.0023401214 0.0025366202 0.002792664 0.0017565797 0.0058115995 0.0017803977 0.0025128021 0.0017387163 0.0035607954 0.0023282124 0.00199476 0.0018161248 0.0023639395 0.0019768965 0.0024651662 0.0027867095 0.002054305 0.0024353936 0.002369894 0.0020602597 0.0029832083 0.002322258 0.002274622 0.0032690247 0.0022269858 0.0023877576 0.0029415267 0.002042396 0.0018578063 0.0022567583 0.001970942 0.0029534358 0.0021019413 0.0024115755 0.0018161248 0.0020840776 0.00870549 0.0026557103 0.0021495773 0.0024651662 0.0033642969 0.0050375136 0.003155889 0.0024949387 0.0026080743 0.002405621 0.0020364416 0.0019173514 0.0024889843 0.0030427533 0.0024353936 0.0021317138 0.006020007 0.0024651662 0.0025425747 0.0036382042 0.0026676194 0.0034059784 0.00398952 0.0047100154 0.0021793498 0.0021436226 0.001911397 0.002322258 0.0023520305 0.0022508039 0.0029057998 0.0023996665 0.0023996665 0.003977611 0.0024592115 0.0029236632 0.0031022984 0.00671073 0.003590568 0.0025068477 0.004906514 0.0041205194 0.004465881 0.0020185781 0.004400381 0.002661665 0.004186019 0.0045135166 0.0028641182 0.001959033 0.005281648 0.0041562463 0.007127546 0.007193045 0.0026140288 0.0036917946 0.0025723472 0.0023401214 0.0016732166 0.0021198047 0.0026795284 0.0025604384 0.002066214 0.002042396 0.004013338 0.0034119328 0.0020721687 0.0046564247 0.0030725258 0.006031916 0.002346076 0.0020364416 0.0028700726 0.004388472 0.0023163036 0.009265214 0.0017208527 0.0063177324 0.0020126235 0.0019233059 0.0030070264 0.0023401214 0.0020007147 0.0018399429 0.0022150767 0.0023758486 0.0020959866 0.0023996665 0.0020007147 0.0026557103 0.0021793498 0.0020840776 0.0021912588 0.0020721687 0.0022984399 0.0018875789 0.0020781232 0.0025187568 0.002322258 0.0021674407 0.0022805764 0.0028105276 0.002274622 0.0022031679 0.0023639395 0.0026140288 0.0020007147 0.0027748006 0.0022567583 0.0021495773 0.0021436226 0.0021674407 0.0035786591 0.001911397 0.001935215 0.0018935334 0.0019173514 0.0024651662 0.001982851 0.0026318925 0.0020304872 0.0024651662 0.0018697154 0.00211385 0.0022865308 0.0018101702 0.0019530784 0.0017089436 0.004584971 0.002429439 0.0030427533 0.0025187568 0.0025187568 0.0019233059 0.0022388948 0.0027748006 0.0024889843 0.0028700726 0.0028224366 0.0020959866 0.0029832083 0.001947124 0.002322258 0.0029355723 0.0023758486 0.0022031679 0.0018578063 0.0018697154 0.0022031679 0.0018697154 0.002006669 0.0021257591 0.0025961653 0.0019233059 0.0019054424 0.0019768965 0.002006669 0.0018637609 0.0017446707 0.001935215 0.0036560677 0.0021972132 0.0020007147 0.0018697154 0.002054305 0.0017387163 0.0019173514 0.0021019413 0.0057044183 0.0032928428 0.0028343457 0.0030903895 0.0037572943 0.002006669 0.002346076 0.00199476 0.0033345243 0.0024473027 0.0021614863 0.0024353936 0.002500893 0.002042396 0.0021614863 0.002745028 0.0033642969 0.0026021197 0.0022091223 0.0024949387 0.004168155 0.0036739311 0.003941884 0.0399607 0.04905579 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.3964723e-05 0.01154201 2.3964723e-05 0.000110836845 1.1982362e-05 1.4977953e-05 1.1982362e-05 0.00022766487 0.00010484567 0.000110836845 8.986772e-06 8.986772e-06 8.986772e-06 2.3964723e-05 1.1982362e-05 1.1982362e-05 3.5947087e-05 0.005751534 5.991181e-06 8.986772e-06 1.7973543e-05 0.00013480156 8.986772e-06 7.1894174e-05 2.9955904e-06 1.1982362e-05 5.991181e-05 5.991181e-06 5.991181e-06 8.986772e-06 1.1982362e-05 8.986772e-06 1.7973543e-05 0.016062357 0.0004703077 9.8854485e-05 5.991181e-05 0.0003474885 9.585889e-05 0.00036845764 0.00017973543 5.691622e-05 0.00010185008 6.29074e-05 3.5947087e-05 6.590299e-05 5.392063e-05 5.392063e-05 0.00029057226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009136551 5.092504e-05 0.00048528565 0.00018273102 0.00017673984 9.28633e-05 0.0011802627 0.00064105634 0.00011682803 1.4977953e-05 3.2951495e-05 1.7973543e-05 4.1938267e-05 3.2951495e-05 3.8942675e-05 2.6960315e-05 0.009265361 0.00011682803 0.00011982362 8.088094e-05 0.00013480156 0.00011982362 0.00014378835 0.00015277512 0.00014378835 0.00011982362 0.0001288104 0.00010484567 0.00020070457 0.00014079275 0.00032352377 0.0009735669 0.020157328 0.0008088094 0.0009915405 0.0006230828 0.00065902993 0.00044634298 0.0024114503 0.001470835 0.00065902993 0.0005841401 0.0005751534 0.0001288104 0.00030555023 5.691622e-05 0.00013480156 0.0006620255 0.01116157 0.00013180598 0.00018273102 0.00026061636 0.0007249329 0.0005871357 0.0017943587 0.0011622891 0.0005062548 0.0001557707 0.0001258148 0.00016475748 0.0003414973 0.00017973543 0.0002516296 0.00067400787 0.018533718 0.0005841401 0.0007518932 0.0007279285 0.0013300421 0.0012251965 0.0036516248 0.002075944 0.0008717168 0.00088669476 0.00038942677 0.00044334738 0.000629074 0.00043136504 0.00090167276 0.0033760306 0.01877037 0.00096458016 0.0017584116 0.0011712759 0.0021538297 0.0014768261 0.0063446607 0.0035587614 0.00067700347 0.0009256375 0.0005332151 0.0004403518 0.0007968271 0.00043136504 0.00044634298 0.0024953268 0.011835578 0.0020699531 0.0009765625 0.000745902 0.0012281921 0.0012222009 0.0024533886 0.0019231691 0.00082977855 0.0007518932 0.0012102185 0.000745902 0.0012401745 0.00041638708 0.0005661666 0.0024593798 0.030102689 0.004118937 0.003510832 0.0017644028 0.0030195552 0.0031064274 0.004825896 0.0046910946 0.0050595524 0.002339556 0.0019710986 0.001953125 0.0030914494 0.0013270465 0.0021238737 0.0067490656 0.034122773 0.0065932944 0.0043765577 0.0045173503 0.0068808715 0.007758579 0.0056257187 0.0072583156 0.012821128 0.0028368242 0.0034629025 0.0035437834 0.005925278 0.0031004362 0.0064974357 0.019648079 0.027826041 0.006898845 0.0041938266 0.0053710938 0.010346769 0.01019699 0.0064824577 0.0073871263 0.013827646 0.003591713 0.0042747078 0.004469421 0.006994704 0.004220787 0.008540428 0.022616709 0.025031155 0.022976179 0.022673624 0.022586752 0.022104463 0.02181389 0.023614239 0.022613714 0.023113975 0.023452478 0.024530891 0.022679616 0.023069043 0.022236269 0.022913272 0.022688603 814.0 10.436118 8495.0 0.034490876 0.003060624 0.013184226 0.0041200705 0.003531489 0.0063566803 0.0021188934 0.0025897587 0.003531489 0.002707475 0.003531489 0.002001177 0.003413773 0.012713361 0.009181872 0.0043555032 0.0087110065 0.0063566803 0.0064743967 0.009652737 0.0031783402 0.0044732196 0.0063566803 0.003531489 0.0025897587 0.0018834609 0.0049440847 0.003531489 0.003413773 0.003060624 0.001530312 0.0041200705 0.0043555032 0.016009416 0.0044732196 0.013184226 0.009888169 0.011183049 0.010359035 0.010476751 0.0076515595 0.0102413185 0.0029429076 0.0037669218 0.009652737 0.011065332 0.006121248 0.0049440847 0.013184226 0.00541495 0.007886993 0.013772807 0.011065332 0.014361389 0.0067098294 0.016598 0.002001177 0.0037669218 0.0029429076 0.004708652 0.00541495 0.003531489 0.003884638 0.0056503825 0.003531489 0.031665687 0.008475574 0.016598 0.022248382 0.072277814 0.014125956 0.016362567 0.014125956 0.029311359 0.0060035316 0.005297234 0.037433784 0.012831077 0.027427899 0.030370807 0.009652737 0.0028251912 0.035903472 0.027310183 0.044849914 0.015303119 0.012007063 0.029075926 0.008475574 0.008475574 0.002354326 0.002707475 0.003413773 0.0031783402 0.0025897587 0.0018834609 5.999895 0.0 0.0 0.0 3.0 167940.0 167936.0 1.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 995580100.0 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 -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 5.0 0.0 6.0 20.0 5.0 0.0 4.0 0.0 118784.0 4096.0 4096.0 4.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -40960.0 0.0 40960.0 0.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.43154845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3881645 0.0 5.302442 0.0 7.665638 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40154.0 0.0 37160.0 0.0 77824.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 150.0 40346.0 37160.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 44194.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 688.0 4096.0 224.0 39320.0 0.0 0.0


Input: 0.056706734 0.008302994 0.0061769965 0.0056527494 0.005758428 0.0049710213 0.004197084 0.005416528 0.005045618 0.005627884 0.003742253 0.0044581713 0.004947192 0.0031765634 0.0043286635 0.0046384456 0.0050404374 0.003760902 0.004929579 0.0041566775 0.004354565 0.0031796717 0.0041100546 0.0038427508 0.0050777355 0.0033464774 0.003169311 0.0029372333 0.0041483887 0.0034480116 0.0037836954 0.0037930198 0.0061697443 0.0038158132 0.0034822016 0.003014938 0.0048829564 0.0041618575 0.0038386066 0.0037215317 0.004725475 0.0038883374 0.0033340447 0.0030936785 0.0043659615 0.0037246398 0.0037204956 0.0035847716 0.0055190977 0.0039546452 0.0030998948 0.0029030433 0.0036697285 0.003067777 0.0026885786 0.002863673 0.0041784346 0.0033174679 0.0035143194 0.0033495857 0.004000232 0.0032231861 0.003507067 0.0034625162 0.0065986733 0.0039546452 0.0036168895 0.0032169698 0.0041546053 0.0032211142 0.0035474733 0.003067777 0.0050021033 0.0037733347 0.003710135 0.0035847716 0.0041307756 0.0031278685 0.0035609421 0.0034645884 0.0051761614 0.00362725 0.0036572958 0.0033288645 0.0039256355 0.0033775594 0.0033609823 0.0035298604 0.0046332655 0.0036510795 0.0038085608 0.003507067 0.0041079824 0.0033910281 0.00369563 0.0037878396 0.0059179813 0.0036334663 0.003351658 0.0029558823 0.0040105926 0.0030574165 0.0032615205 0.003032551 0.0049710213 0.003170347 0.0032086815 0.003049128 0.0035806273 0.0028398435 0.0030853902 0.0031910683 0.004499614 0.0032915662 0.0032294025 0.0031465178 0.0038924818 0.003340261 0.0032894942 0.003625178 0.0046239407 0.0032977827 0.0034790933 0.003166203 0.0040396024 0.003200393 0.0034635523 0.0033412972 0.008652147 0.004598039 0.004015773 0.0035277882 0.0043763225 0.0034366148 0.0030128658 0.0033879199 0.0045348397 0.0038313542 0.0029558823 0.0031941766 0.0037339644 0.002810834 0.002848132 0.0029786758 0.0052383253 0.0032076454 0.0034935982 0.0030263346 0.0036697285 0.003184852 0.003301927 0.0032677369 0.0045452 0.0028377715 0.0030418755 0.0027041195 0.0035174275 0.0032294025 0.00298282 0.003166203 0.005001067 0.0034065691 0.0032770615 0.0027911486 0.0037702266 0.0030170102 0.0030657048 0.0031817437 0.0041390643 0.002998361 0.0031268324 0.0030139019 0.003639683 0.002845024 0.002912368 0.0030398034 0.0046705636 0.0031123278 0.0038406786 0.0028553845 0.0035692307 0.0031537702 0.003000433 0.0031216522 0.0042478507 0.0031475537 0.0033247203 0.003170347 0.0036521156 0.0031869242 0.0033236842 0.0033568381 0.0067157485 0.0040634316 0.0037184234 0.003336117 0.004114199 0.0032563403 0.003301927 0.003238727 0.004339024 0.0033236842 0.0031154358 0.0030791736 0.0036500434 0.002980748 0.0030719212 0.0028025454 0.0042478507 0.0032749893 0.003086426 0.002996289 0.0037142793 0.0030273707 0.0029393055 0.0029558823 0.0039753667 0.0031081834 0.0027258769 0.0026347034 0.0035277882 0.002946558 0.0035826995 0.0028885384 0.004953408 0.0032335469 0.0033879199 0.0029797119 0.0038147771 0.0030729573 0.0031941766 0.0028999352 0.0044467743 0.005461078 0.0034635523 0.0031403014 0.0037868035 0.0030719212 0.003238727 0.0031879602 0.004612544 0.0033195398 0.0034138216 0.0030366953 0.003745361 0.0030874622 0.0033143596 0.0032511598 0.004353529 0.0030294429 0.003184852 0.0028574567 0.0040116287 0.0030916065 0.004217805 0.0045172265 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09920567 0.06202988 0.06241698 0.055320036 0.060611736 0.05956564 0.05496978 0.05448098 0.060480975 0.053181145 0.052123636 0.052947123 0.056419056 0.050543595 0.056631804 0.053811602 4024.0 5.7040257 22953.0 0.017121945 0.010499717 0.009366968 0.008582756 0.013418725 0.012460245 0.0117631685 0.011545332 0.012634514 0.009759073 0.008495621 0.008582756 0.013854398 0.010586851 0.011806736 0.009889775 0.016773406 0.011850303 0.008757025 0.007537141 0.00980264 0.008495621 0.007798545 0.008321352 0.010238313 0.008408487 0.009584804 0.00884416 0.011545332 0.009018429 0.00980264 0.009279832 0.018080425 0.010891822 0.010412582 0.009105563 0.010804688 0.008887727 0.010673986 0.00836492 0.014246504 0.011588899 0.009759073 0.008974861 0.01141463 0.009366968 0.011632467 0.009584804 0.014769311 0.009584804 0.0099769095 0.009061996 0.012155274 0.009366968 0.009584804 0.009759073 0.013636562 0.009192698 0.010586851 0.009541237 0.0111096585 0.00980264 0.010412582 0.010673986 0.017906155 0.010978957 0.009715506 0.0081906505 0.013113754 0.008234218 0.009366968 0.008321352 0.01542282 0.009279832 0.008887727 0.00866989 0.011327495 0.007972814 0.009889775 0.007972814 0.013200888 0.007929247 0.008713458 0.008757025 0.011545332 0.009541237 0.008321352 0.007929247 0.010978957 0.008800592 0.011981005 0.008539189 0.01124036 0.009061996 0.0099769095 0.008800592 6.5546856 0.0 0.0 0.0 14.0 965194.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.64186406 0.0046622986 0.0013650873 0.0011760753 0.0019111224 0.00050403224 0.003811744 0.00064054097 0.00515583 0.00043052755 0.0002625168 0.0008820564 0.0053658434 0.00096606184 0.0021001345 0.0014700941 0.0038852487 0.0005145329 0.00034652217 0.00024151546 0.0014280914 0.0014280914 0.00028351814 0.00017851143 0.0024781586 0.0002205141 0.0003045195 0.00031502015 0.0012810819 0.00038852487 0.00027301747 0.00021001344 0.0013965893 0.0002625168 0.00025201612 0.00015751008 0.0020056283 0.00032552084 0.00013650874 0.00011550739 0.0014700941 0.0005145329 0.00018901209 0.0002625168 0.0005355343 0.00034652217 0.0005145329 0.002299647 0.0010605679 0.004735803 0.0011340725 0.0024886592 0.0011130712 0.0010815692 0.00075604836 0.00048303092 0.0010395666 0.0074974797 0.0007665491 0.0017746136 0.0011445732 0.0012915827 0.0005145329 0.00054603495 0.0014910954 0.0008295531 0.00031502015 0.0023521506 0.001186576 0.0063844086 0.0006300403 0.00064054097 0.0012285786 0.0008820564 0.0009765625 0.0015120967 0.0015330982 0.00265667 0.00048303092 0.0007665491 0.007780998 0.0021736391 0.00094506046 0.005166331 0.00087155576 0.0017116095 0.0087575605 0.0039587533 0.0004095262 0.0041582664 0.00028351814 0.0011970766 0.00035702286 0.0008820564 0.0014280914 0.0073819724 0.00034652217 0.0050088204 0.0007140457 0.0032237063 0.0010500673 0.0053973454 0.0005670363 0.00073504704 0.0046412973 0.0039797546 0.0017431115 0.0013965893 0.0019426243 0.006888441 0.0032867102 0.0017116095 0.005922379 0.00066154235 0.005985383 0.004798807 0.006730931 0.013556368 0.0018586189 0.0015225974 0.0019426243 0.0019951276 0.0005565356 0.00032552084 0.0010290658 0.0014070901 0.00046202957 0.00058803766 0.00080855173 0.0004515289 0.0004200269 0.0035492273 0.0011130712 0.001984627 0.00018901209 0.00019951277 0.0008820564 0.0036122312 0.00028351814 0.014627436 0.00025201612 0.003139701 0.00028351814 0.0005985383 0.002751176 0.0018271169 0.0009345598 0.00012600806 0.00054603495 0.00012600806 0.0004515289 0.00013650874 0.0002205141 0.00021001344 0.00017851143 0.00014700941 0.00025201612 0.00029401883 0.00021001344 0.0005145329 0.0008820564 0.0002205141 0.00016801075 0.00021001344 0.0007455477 0.00039902554 0.00015751008 0.00014700941 0.00031502015 0.00016801075 5.250336e-05 7.350471e-05 0.00050403224 0.00015751008 0.00012600806 0.00013650874 0.00029401883 0.00016801075 0.0004935316 0.00015751008 0.0003360215 0.00015751008 0.00014700941 0.00015751008 0.00080855173 0.00021001344 0.00018901209 0.0007245464 0.00024151546 0.00013650874 9.4506046e-05 0.00036752352 0.0022261424 0.0003360215 0.0016486056 0.001218078 0.0020056283 0.00014700941 0.00025201612 0.00043052755 0.0009555612 0.0012390793 0.00023101478 0.00011550739 0.00037802418 9.4506046e-05 0.00018901209 5.250336e-05 0.00031502015 0.00014700941 0.00023101478 0.0003045195 0.00027301747 0.00014700941 0.00061953964 0.00029401883 0.0010290658 0.00018901209 0.0005985383 0.00046202957 0.0002625168 0.00013650874 0.0002205141 0.00016801075 0.00039902554 0.00019951277 0.00016801075 0.00016801075 0.00048303092 9.4506046e-05 0.00015751008 0.00024151546 0.0038012434 0.00048303092 0.00014700941 0.0012075773 0.0021631385 0.00018901209 0.00012600806 0.00034652217 0.0018166163 0.00025201612 0.00014700941 0.0003360215 0.0010080645 0.0003045195 0.00061953964 0.00031502015 0.0028141802 0.00028351814 0.00023101478 0.0002625168 0.0032972111 0.0003045195 0.00038852487 0.021998908 0.5652174 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009824007 3.184443e-05 4.245924e-05 0.0005572775 2.122962e-05 2.6537024e-05 4.245924e-05 3.184443e-05 4.7766644e-05 3.184443e-05 3.184443e-05 2.122962e-05 4.245924e-05 2.6537024e-05 5.3074047e-05 3.7151833e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006453804 4.245924e-05 0.00015391475 0.0005148183 0.00046174423 0.0005944293 0.0014913807 0.0010933254 1.5922215e-05 0.0 1.061481e-05 2.122962e-05 0.0 0.0 1.061481e-05 5.307405e-06 0.0076214336 0.00027067764 0.00020168138 0.00020698879 0.00018575917 0.00020168138 0.0002176036 0.00022291101 0.00019106657 0.00026537024 0.00025475543 0.00027598505 0.00019637398 0.00020168138 0.00016452956 0.00019106657 0.0044635274 0.0 0.00050951086 0.0038001018 0.004728898 0.0065599526 0.011410921 0.011994735 0.0 0.0 0.0 5.307405e-06 0.0 0.0 5.307405e-06 0.0 0.0058912192 0.00020698879 0.00095002545 0.0036090354 0.0018947435 0.0013215438 0.003396739 0.002897843 0.00017514436 0.00015391475 0.00018575917 0.00019106657 0.00021229619 0.00018045177 0.00022291101 0.00024944803 0.017848803 0.00091818103 0.0019106658 0.005073879 0.0032693613 0.0038213315 0.009043818 0.0063370415 0.0018151324 0.0007377293 0.00038213315 0.00037151834 0.0005838145 0.0004298998 0.0005307405 0.0012737772 0.0025104026 4.7766644e-05 0.0005360479 0.00039274796 0.0011251698 0.0008757218 0.0023034138 0.0021176545 0.00033436652 2.122962e-05 4.7766644e-05 5.307405e-06 0.00013799252 6.368886e-05 0.00013799252 0.00021229619 0.031833816 0.0063901157 0.002844769 0.0071384595 0.0070429263 0.019881539 0.008014182 0.014818274 0.017227836 0.003826639 0.001141092 0.0012153958 0.0049093496 0.0017992102 0.0049783457 0.019111965 0.02096425 0.0054719346 0.0029243801 0.0053923232 0.0047235903 0.013778023 0.0053127124 0.009802776 0.011909816 0.0029668394 0.0015232252 0.001364003 0.0044263755 0.0018045177 0.0036143428 0.012716542 0.0018894362 0.0003184443 0.0005042035 0.00060504413 0.00039805536 0.0005838145 0.0011092477 0.00028129245 0.00072180707 0.0006846552 0.00059973676 0.00082795514 0.0007536515 0.0006262738 0.00046174423 0.0005042035 605.0 16.042974 9706.0 0.0047393367 0.0007212034 0.00051514525 0.0002060581 0.0013393777 0.0014424068 0.0 0.00030908716 0.0015454359 0.0014424068 0.00030908716 0.00010302905 0.0007212034 0.0004121162 0.0021636102 0.020914897 0.0032969296 0.04265403 0.0061817435 0.0046363072 0.0048423656 0.0047393367 0.003606017 0.001957552 0.005975685 0.0336905 0.0023696683 0.004018133 0.0024726973 0.0023696683 0.0010302905 0.0012363486 0.008551411 0.0061817435 0.0012363486 0.02070884 0.0065938593 0.007727179 0.0026787554 0.0022666391 0.008345353 0.0061817435 0.007830208 0.013599835 0.010096847 0.0065938593 0.0031939007 0.0049453946 0.013908923 0.0014424068 0.00546054 0.02287245 0.0061817435 0.0032969296 0.011642283 0.007315063 0.0022666391 0.008345353 0.0007212034 0.0014424068 0.001854523 0.00051514525 0.001854523 0.062641665 0.0016484648 0.045229755 0.0046363072 0.03039357 0.007521121 0.048320625 0.0028848136 0.005769627 0.021430044 0.027405728 0.005666598 0.011745312 0.014939213 0.035751082 0.029157223 0.013805893 0.04790851 0.0035029878 0.050587267 0.042757057 0.035338964 0.0304966 0.012878632 0.01092108 0.0032969296 0.01638162 0.003606017 0.0010302905 0.0013393777 0.0010302905 0.0009272615 0.0012363486 5.610873 1.0 0.0 0.0 1.0 95232.0 114688.0 1.0 63.0 24.0 1.0 1.0 0.0 0.0 0.0 1190708000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 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 9216.0 0.0 0.0 -57856.0 0.0 0.0 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 -24064.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.460321 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4196663 0.0 0.0 -0.5889441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.4027354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.129717 0.0 3.3211534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9193.0 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 -76.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23900.0 0.0 936.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 2.0 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 1.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 -3.0 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 -1.0 -1.0 -2.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -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 -1.0 1.0 0.0 0.0 -1.0 1.0 2.0 4313.0 33552.0 100.0 32900.0 936.0 45056.0 0.0 0.0 0.0 0.0 1236.0 49152.0 28.0 28784.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 32680.0 0.0 0.0 112.0 28672.0 0.0 0.0 0.0 0.0