Input: 0.32509428 0.030711208 0.021686422 0.008216595 0.016702587 0.005994073 0.016904633 0.0068022627 0.009428879 0.0042429958 0.012055496 0.0036368535 0.0041756467 0.0023572198 0.005387931 0.0049164873 0.004445043 0.008351293 0.0064655175 0.0024919182 0.0022225215 0.0035695042 0.0041082976 0.0021551724 0.0024919182 0.0013469828 0.0026266163 0.0015490302 0.001010237 0.001010237 0.0009428879 0.0011449354 0.008755388 0.0033001078 0.0013469828 0.0014143318 0.0023572198 0.0018857758 0.002963362 0.0015490302 0.005859375 0.0018184268 0.0024245689 0.0006734914 0.0016163794 0.00040409484 0.01481681 0.001010237 0.0066002156 0.0020878233 0.0013469828 0.0008081897 0.0006734914 0.0005387931 0.00026939655 0.0006061422 0.002020474 0.0022898708 0.0012796336 0.0 0.00026939655 0.001010237 0.0003367457 0.0003367457 0.0024245689 0.0047817887 0.0037042026 0.0033674568 0.0022225215 0.0055226292 0.0026266163 0.0015490302 0.001010237 0.007745151 0.0003367457 0.0006734914 0.001953125 0.001953125 0.0016163794 0.0008755388 0.003838901 0.0006734914 0.0024245689 0.002896013 0.0037715517 0.0051185344 0.0030307113 0.0009428879 0.00047144396 0.0006061422 0.00040409484 0.00026939655 0.00040409484 0.0005387931 0.00020204742 0.0037042026 0.0007408405 0.015759699 0.0035021552 0.0071390085 0.008688039 0.03899515 0.0023572198 0.01097791 0.0037042026 0.025996767 0.00040409484 0.0048491377 0.01245959 0.005859375 0.030643858 0.014682112 0.0047144396 0.0012122844 0.022023167 0.012190194 0.032529633 0.0072063575 0.0030980604 0.0020878233 0.002896013 0.008081896 0.0012796336 0.0074757542 0.00020204742 0.002896013 0.0006734914 0.00026939655 0.0031654094 0.0009428879 0.00013469828 0.0006061422 0.00013469828 0.0003367457 0.001953125 0.00020204742 6.734914e-05 0.00020204742 0.00026939655 0.00020204742 0.00020204742 0.00040409484 0.0 0.00026939655 0.0003367457 0.00047144396 0.00013469828 0.00026939655 6.734914e-05 0.00026939655 0.0003367457 6.734914e-05 0.00013469828 0.0003367457 0.00026939655 0.00020204742 0.00020204742 0.0 6.734914e-05 6.734914e-05 0.00013469828 0.0003367457 0.00040409484 0.0005387931 0.00047144396 6.734914e-05 6.734914e-05 0.0 0.00026939655 0.00013469828 0.0 6.734914e-05 0.00040409484 0.00026939655 0.0 0.00013469828 0.00026939655 0.00020204742 6.734914e-05 6.734914e-05 0.00026939655 6.734914e-05 0.00026939655 0.001953125 0.0003367457 0.00026939655 0.00020204742 0.0 0.00020204742 0.0006734914 0.0003367457 0.0003367457 0.0003367457 0.00013469828 0.00013469828 6.734914e-05 0.00047144396 0.0 0.00026939655 0.00013469828 6.734914e-05 0.00020204742 6.734914e-05 0.00026939655 0.00013469828 0.0003367457 6.734914e-05 0.0 0.00026939655 0.00020204742 0.00040409484 0.0006734914 0.0003367457 0.0008081897 0.00040409484 0.0 0.00020204742 0.0 6.734914e-05 0.00047144396 0.00026939655 0.00026939655 6.734914e-05 0.00020204742 0.00026939655 0.0010775862 0.00013469828 0.00040409484 0.00026939655 0.0003367457 0.00013469828 0.0 0.00013469828 6.734914e-05 0.00026939655 0.0003367457 0.0 0.00013469828 6.734914e-05 0.00026939655 0.00013469828 0.0 0.00013469828 0.0 6.734914e-05 0.00020204742 0.0 0.0 0.0005387931 0.00026939655 0.00026939655 0.0 0.00013469828 6.734914e-05 0.0005387931 0.0010775862 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.055588942 0.0055964543 0.0041691707 0.0021409255 0.0013521635 0.0006385216 0.0013897235 0.0043194112 0.00033804087 0.00015024039 0.00018780048 0.00030048078 0.00018780048 0.00022536058 0.00015024039 0.00018780048 0.056865986 0.0083383415 0.0065354565 0.002779447 0.007512019 0.0048828125 0.038123496 0.02726863 0.00037560097 0.0 0.00018780048 0.00015024039 0.00011268029 0.00018780048 3.7560098e-05 0.00048828125 0.15455979 0.012958233 0.0128455525 0.0052959737 0.0056340145 0.0047701322 0.0044320915 0.0066481372 0.0064603365 0.0022160457 0.001953125 0.0031926082 0.0017277644 0.0033428485 0.0025916467 0.0021409255 0.069373496 0.002704327 0.008263221 0.0033804087 0.014423077 0.009202223 0.07876352 0.041316107 0.0009765625 0.0002629207 0.00033804087 0.00037560097 0.0002629207 0.00037560097 0.0005258414 0.00022536058 0.10201322 0.020282451 0.024113582 0.007925181 0.016075721 0.011981671 0.078876205 0.038123496 0.0017653245 0.0008263221 0.0009765625 0.0018404447 0.00056340144 0.0009390024 0.00075120194 0.0006385216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 265.0 17.34717 4597.0 0.0017402654 0.005438329 0.00043506635 0.0008701327 0.0010876659 0.00043506635 0.0 0.00021753318 0.0 0.0 0.00021753318 0.0 0.0 0.0 0.027626714 0.0017402654 0.010224059 0.003698064 0.0028279312 0.001305199 0.0010876659 0.0008701327 0.00043506635 0.0010876659 0.00043506635 0.00043506635 0.00043506635 0.0 0.00021753318 0.0 0.00021753318 0.0 0.00021753318 0.013922123 0.009788993 0.009136394 0.005220796 0.013269523 0.0043506636 0.0043506636 0.0010876659 0.021100719 0.00021753318 0.0 0.003698064 0.005003263 0.0028279312 0.0019577986 0.010224059 0.0 0.006308462 0.008266261 0.009788993 0.015879922 0.0034805308 0.0021753318 0.00043506635 0.00043506635 0.0 0.0 0.0 0.0 0.0 0.009788993 0.0006525995 0.043724168 0.010441592 0.019577986 0.02262345 0.11333478 0.0041331304 0.032629978 0.010006526 0.07309115 0.0008701327 0.0030454644 0.034587774 0.0152273225 0.08831847 0.03719817 0.010006526 0.0008701327 0.061996955 0.031977378 0.095932126 0.019795518 0.008048727 0.003698064 0.0076136612 0.021970851 0.002610398 0.0 0.0 0.0 0.0 0.0 4.922142 0.0 0.0 0.0 1.0 14848.0 40960.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 12800.0 512.0 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 -12800.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5660267 0.0 2.6422994 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 -12772.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 20880.0 1024.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.015895592 0.0044311294 0.0040396284 0.004001091 0.004267974 0.003960752 0.0039513875 0.003840096 0.0045330566 0.0037914736 0.0037889525 0.0037713044 0.004209627 0.0038534224 0.0038011982 0.004029904 0.0041221064 0.0038166854 0.003725203 0.00376194 0.003881155 0.0038408164 0.0037504146 0.0037612196 0.003926176 0.0038339733 0.0037147582 0.0036783812 0.003872151 0.0037799482 0.0037046734 0.0036960295 0.0040043322 0.0037723847 0.0037003516 0.0037565376 0.0041736104 0.0036470469 0.0037414106 0.0037007118 0.0038469392 0.003694949 0.0037684229 0.0037875117 0.0037198004 0.0037633807 0.0037201606 0.0036909871 0.0038307318 0.0037414106 0.0037280843 0.0040435903 0.003781389 0.0037893127 0.0037831897 0.0037068345 0.0038681892 0.003835414 0.0038476596 0.004031345 0.0037216013 0.0037684229 0.0037626603 0.0037392494 0.003995688 0.0045168493 0.00389196 0.003723042 0.0039171716 0.004360897 0.003980921 0.0037777873 0.0039186124 0.0037363681 0.0037262836 0.0037046734 0.003841897 0.00436738 0.003929057 0.0037936347 0.0042060255 0.0038447783 0.0037396096 0.0038599053 0.0038426174 0.003857024 0.004072764 0.003861706 0.0038123634 0.0039387816 0.0037950752 0.0038253292 0.0037669824 0.003941663 0.0039856033 0.0038750323 0.003752936 0.0037907532 0.0036960295 0.0037302454 0.0039232946 0.0039747986 0.003876833 0.003733847 0.0038343335 0.0038667484 0.0039294176 0.0037936347 0.0038076811 0.0037568975 0.003876473 0.0038328927 0.003742851 0.0037086352 0.0038228082 0.0038328927 0.004274457 0.0044422946 0.0037914736 0.0037594188 0.0038148845 0.0037107964 0.0037147582 0.003802999 0.0038213674 0.0038321724 0.0038004778 0.0037190802 0.0039250953 0.0037752662 0.0037309655 0.004382507 0.0038656679 0.0040551154 0.0036870253 0.0037244826 0.0038491003 0.0045719547 0.0038011982 0.0057136826 0.0037590587 0.0044210446 0.0037219615 0.0038166854 0.003798677 0.003736008 0.00369747 0.0037745459 0.003667216 0.003809122 0.0036773009 0.0037093556 0.0037374487 0.0037421307 0.0036621739 0.0037414106 0.0037723847 0.0037097158 0.003764461 0.0037309655 0.0037504146 0.0037475333 0.0037291648 0.0037248428 0.0037723847 0.003723402 0.0036931483 0.0037086352 0.0037896729 0.0036881058 0.003766262 0.0036657755 0.0037684229 0.0037266437 0.0037414106 0.0037244826 0.0038076811 0.0037586985 0.0037623001 0.0037183599 0.0037806686 0.003707915 0.0038199269 0.0037313257 0.003991006 0.0037518553 0.0036953092 0.0037504146 0.003681623 0.0037583383 0.0037435715 0.0038545027 0.0041739703 0.0040165777 0.003878634 0.0040219803 0.003835414 0.0036953092 0.0039769593 0.003924375 0.0038109226 0.003859185 0.0037842703 0.003803359 0.004101937 0.0037392494 0.0037824695 0.0037486139 0.003814164 0.0037262836 0.003799037 0.0036913473 0.0038433375 0.0037122369 0.003788232 0.003778868 0.0037957956 0.0037763466 0.0037313257 0.0037669824 0.0038001176 0.003792194 0.0037867916 0.0036942286 0.0038152447 0.0037392494 0.00374033 0.0036740594 0.0037842703 0.0037266437 0.0036989108 0.003736008 0.0048334356 0.0040814076 0.0037590587 0.004004692 0.003943824 0.0037478935 0.0037648212 0.00369675 0.0039085275 0.0038966422 0.0038011982 0.0037179997 0.003833253 0.0037244826 0.0038321724 0.0037853508 0.0038865576 0.0037803084 0.0037968762 0.003815965 0.0042564487 0.0037482537 0.003907447 0.006870898 0.0022140222 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00035909392 2.8828413e-06 5.4053277e-07 3.6035516e-07 5.4053277e-07 9.008879e-07 3.6035516e-07 3.6035516e-07 1.261243e-06 5.4053277e-07 5.4053277e-07 1.8017758e-07 1.0810655e-06 1.8017758e-07 1.8017758e-07 0.0 0.00034053563 5.4053277e-07 7.207103e-07 1.8017759e-06 9.369234e-06 1.8017759e-06 5.4053276e-06 3.423374e-06 1.8017758e-07 5.4053277e-07 3.6035516e-07 7.207103e-07 0.0 5.4053277e-07 3.6035516e-07 2.7026638e-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 0.0006284594 1.2252076e-05 9.5494115e-06 5.5855053e-06 1.8738468e-05 5.4053276e-06 1.6215982e-06 5.9458603e-06 1.0270122e-05 2.8828413e-06 4.1440844e-06 1.2792609e-05 4.1440844e-06 3.9639067e-06 2.7026638e-06 9.5494115e-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 0.00055656856 9.72959e-06 1.3333141e-05 1.9819534e-05 2.2882554e-05 7.2071034e-06 2.2342021e-05 2.1981665e-05 1.4594384e-05 2.3423086e-06 3.6035517e-06 1.8017758e-05 3.6035517e-06 3.7837292e-06 2.7026638e-06 1.5495272e-05 0.0022287967 6.558464e-05 7.225121e-05 1.7837581e-05 0.00023206872 1.49547395e-05 5.513434e-05 3.351303e-05 1.8738468e-05 0.00015423201 4.2702086e-05 1.7657403e-05 4.5044395e-05 3.2251788e-05 2.5765394e-05 0.0002645007 0.0006875577 2.0179888e-05 3.0630188e-05 9.369234e-06 7.279174e-05 1.04503e-05 6.5944994e-05 3.6215693e-05 5.4053276e-06 2.7026637e-05 2.396362e-05 8.468346e-06 5.22515e-06 1.0810655e-05 2.0360067e-05 7.261157e-05 0.0004010753 5.7656825e-06 1.3873674e-05 2.756717e-05 9.477341e-05 4.5765108e-05 0.00028017614 0.00015657432 2.684646e-05 2.162131e-06 1.261243e-06 8.288169e-06 7.2071034e-06 1.6215982e-06 4.324262e-06 2.97293e-05 0.00017297048 4.324262e-06 1.5855627e-05 7.5674584e-06 2.5585217e-05 6.3062153e-06 5.891807e-05 3.3873384e-05 6.846748e-06 8.107992e-06 1.0810655e-06 2.3423086e-06 4.684617e-06 7.207103e-07 9.008879e-07 1.8918647e-05 0.0006317026 1.9819534e-05 4.612546e-05 3.891836e-05 0.00010558406 4.9548835e-05 0.0001888261 0.00012198022 5.1710966e-05 1.8918647e-05 1.5315094e-05 1.945918e-05 1.8738468e-05 1.2071898e-05 4.0720133e-05 9.657518e-05 0.00031080632 2.1441132e-05 4.0720133e-05 5.6936115e-05 0.00021333026 2.4684328e-05 5.8377536e-05 3.4774275e-05 0.0001012598 4.9548835e-05 1.9098823e-05 5.909825e-05 7.387281e-05 3.657605e-05 0.000105764244 0.00026972583 0.0051932586 0.000813682 0.0007008908 0.0007517009 0.0019871786 0.0016808767 0.00055080286 0.0012279103 0.003463914 0.00027531135 0.00020558262 0.00050828094 0.0016270035 0.000409904 0.0014488079 0.0027711312 0.0028797784 0.00056161353 0.00045170521 0.0005288212 0.0011399835 0.0010738584 0.00040594008 0.0008189071 0.001889162 0.00016234 0.00019080806 0.00035639125 0.0009621483 0.00033386907 0.0008990861 0.0017367317 0.05940509 0.059338246 0.059097886 0.059524186 0.059270136 0.059314642 0.059487972 0.05910167 0.05922311 0.059037887 0.05922275 0.059313018 0.059411757 0.05946653 0.059206896 0.059286714 12652.0 5.7384605 72603.0 0.011404487 0.00997204 0.009875625 0.0093109105 0.010137322 0.009434871 0.010151096 0.009916945 0.0104954345 0.009655248 0.00911808 0.010454114 0.010123549 0.010605622 0.010371473 0.010040907 0.0097929835 0.009999587 0.009724116 0.01048166 0.009434871 0.0102750575 0.009848078 0.010096001 0.010247511 0.010082228 0.009737889 0.010867319 0.009613927 0.010302604 0.010343925 0.009062987 0.010109775 0.010426566 0.009448646 0.010564302 0.010949961 0.010550528 0.0105367545 0.01063317 0.010027134 0.010426566 0.009366004 0.009600154 0.010853546 0.010316378 0.010233737 0.009999587 0.011349393 0.009875625 0.010219963 0.011308073 0.010343925 0.010454114 0.011170337 0.010192417 0.009613927 0.009655248 0.009627702 0.010151096 0.00997204 0.0107984515 0.010550528 0.010343925 0.009875625 0.01250637 0.0093522305 0.010261284 0.011087696 0.01433825 0.010233737 0.010522981 0.009572607 0.012437503 0.0100546805 0.009944493 0.01114279 0.010688264 0.012230899 0.011762599 0.011252979 0.009875625 0.0134291975 0.010688264 0.013511838 0.0115009025 0.010178642 0.010578075 0.010688264 0.010371473 0.010578075 0.009875625 0.010343925 0.009682795 0.0104954345 0.010288831 6.5799823 0.0 0.0 0.0 37.0 2776493.0 163840.0 0.0 0.0 124.0 0.0 1.0 0.0 0.0 0.0 1303152900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 104448.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -104448.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.8112781 0.0 0.0 4.4521203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3793356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6102386 0.0 3.7061186 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 17552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -104384.0 0.0 2672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 100.0 125356.0 2672.0 159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 110592.0 0.0 0.0 0.0 0.0


Input: 0.25813797 0.010711604 0.0049493485 0.0052207415 0.008315834 0.0032802636 0.0031224547 0.0025010817 0.009693163 0.0013359677 0.0015198662 0.0018125763 0.00648385 0.0016165877 0.0012596085 0.0058300244 0.00549818 0.0011310705 0.0010104866 0.0010149409 0.003097956 0.0037104206 0.001073483 0.00079572643 0.0029910533 0.0011463424 0.0006026013 0.00076200115 0.0023194104 0.00094494503 0.0007454566 0.000679915 0.0047002267 0.000633145 0.0010308491 0.0006045103 0.0045226915 0.001180704 0.00051351555 0.0006477805 0.0018482107 0.00071332214 0.0005236968 0.0020772882 0.001480732 0.0010878004 0.0008854485 0.0005462864 0.003698012 0.0022812309 0.0023563174 0.007275122 0.0029376019 0.0022980936 0.0020823788 0.0022198253 0.002965282 0.0035621563 0.0022961847 0.003948407 0.0033814397 0.0024339494 0.0020505625 0.0023474088 0.0043629734 0.0022051898 0.001854574 0.0023232284 0.0027988825 0.012444321 0.0049098963 0.0036439244 0.0026210293 0.0016951741 0.0013566484 0.0012786983 0.0028332442 0.0074803373 0.001689129 0.001291743 0.010352716 0.0028052458 0.0018039859 0.0032681734 0.0023273646 0.0040769447 0.0055420864 0.0036700137 0.0018952988 0.0024915368 0.0005036525 0.0015453192 0.0017753512 0.0050785225 0.007341618 0.0031409082 0.002150784 0.0028870138 0.0019038892 0.002380816 0.0032735823 0.0045268275 0.0068666004 0.0008113164 0.004617186 0.0014883679 0.006425626 0.00062391825 0.0020168372 0.0008647679 0.0015287747 0.005581857 0.0030441866 0.0007864997 0.0020604255 0.002260232 0.0105754305 0.011629505 0.0016401318 0.0015653635 0.0024870825 0.002215371 0.0005685578 0.0005860568 0.001591771 0.0029487375 0.001467051 0.0010368943 0.0022436876 0.0014635512 0.00048106292 0.009901878 0.0029041946 0.009988419 0.0015335472 0.0011940668 0.0018348478 0.011561736 0.0008517232 0.035817552 0.0013356495 0.014330075 0.001338513 0.0007658191 0.0024473122 0.00036047903 0.00071745826 0.000833906 0.0012923793 0.0007899995 0.00045751882 0.0005332417 0.0012437004 0.0007190491 0.0005131974 0.0008463144 0.0015952708 0.00050333433 0.0005418321 0.00065859803 0.0013566484 0.0017817145 0.00042474802 0.00074863824 0.0011676593 0.0028310171 0.0004683364 0.0003277082 0.00129747 0.0004397017 0.0004066127 0.00033343513 0.0012720169 0.0003649333 0.00037034208 0.00043747455 0.001823712 0.0005246513 0.00052274234 0.00082054315 0.0013709657 0.0009134468 0.0009401726 0.0011059357 0.002869833 0.00072859396 0.00045910967 0.0007543652 0.0013356495 0.00064300804 0.0010703014 0.00068914174 0.008524232 0.0027845653 0.0038345042 0.0029210574 0.0027435222 0.00107921 0.003185451 0.00431334 0.0036754226 0.0029900987 0.0008157707 0.005643899 0.008656269 0.00079031766 0.0026133934 0.0018685731 0.0020193825 0.0007683644 0.0010133501 0.0011921579 0.001538956 0.00046801823 0.0010139864 0.0006792787 0.0024609931 0.0011842038 0.00044924658 0.0013795561 0.0021434661 0.0015421376 0.0006690974 0.00067386986 0.0026238929 0.00058796577 0.0009458995 0.00067736965 0.0024969457 0.00087017665 0.00049283495 0.001001578 0.019371055 0.003553884 0.000648735 0.0037530544 0.0063626296 0.0005141519 0.0009828064 0.0010276674 0.0053728237 0.0021476024 0.0008078166 0.001147615 0.002753067 0.0010922546 0.0028695147 0.0016226328 0.004001858 0.0017034464 0.0013989641 0.0021791004 0.007233761 0.0018453472 0.0025220804 0.066290915 0.109191656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00029204568 1.241393e-05 3.660518e-06 3.183059e-06 1.2732236e-06 9.549177e-07 0.00013098288 3.501365e-06 7.957648e-07 9.549177e-07 3.501365e-06 1.4323765e-06 7.225544e-05 6.843577e-06 7.639342e-06 0.0010882879 0.000545258 1.9894118e-05 4.7745884e-06 4.7745884e-06 6.684424e-06 4.7745884e-06 3.660518e-05 8.753413e-06 2.16448e-05 3.183059e-06 4.2971296e-06 4.1379767e-06 2.2918024e-05 2.6101085e-05 8.594259e-06 0.00025544048 0.0007604328 1.5915295e-05 1.782513e-05 4.4562826e-06 1.8143437e-05 3.183059e-06 0.00082377566 6.684424e-06 1.1936471e-05 9.230871e-06 1.0026636e-05 4.7745884e-06 0.00040902308 1.3209695e-05 1.941666e-05 0.0017833088 0.003504548 7.687088e-05 0.000112521135 0.00012095624 0.0004177765 0.00032276218 0.0009697189 0.00018270759 2.6260237e-05 6.7162546e-05 4.4085366e-05 2.5146166e-05 0.00032928746 3.883332e-05 6.19105e-05 0.0015221388 0.024748761 0.00075343007 0.0008250489 0.0004363974 0.0009324771 0.0015343936 0.0037840204 0.00064695673 0.00033597188 0.0007012279 0.00030318636 0.0003176693 0.0012834094 0.0003910388 0.000407909 0.0056228735 0.012183954 0.00026562627 0.00051772455 0.0005417566 0.0009143337 0.00066923816 0.004322435 0.00081900106 0.00031337215 0.00034743088 0.00026610374 0.00034456613 0.0014344455 0.00038148963 0.00029315974 0.004090708 0.008331339 0.00031193977 0.0008371445 0.00064488774 0.0017712131 0.0013701478 0.0061439406 0.0023586468 0.00023872942 0.00017618232 0.00017124857 0.00024636876 0.001013486 0.00031671437 0.00027183324 0.0021977432 0.008929594 0.0005638789 0.0006498215 0.00083221076 0.0031281512 0.0013631451 0.0034375445 0.0013101471 0.0004238243 0.00029315974 0.00033708595 0.00036955316 0.0010922666 0.00047348003 0.00057868013 0.0026190209 0.016951062 0.0025489936 0.0026871385 0.026483528 0.0071588587 0.003570119 0.0045957007 0.0029371677 0.0021711646 0.0023627847 0.002280025 0.0021961515 0.0031106444 0.0023857027 0.002695096 0.0041970224 0.01176013 0.0011729572 0.0014874435 0.0012889798 0.00439851 0.0024293107 0.0023134472 0.0014847378 0.0036414196 0.00097369775 0.00059857423 0.00084382895 0.0021733926 0.0007631384 0.0016033069 0.004136226 0.07303895 0.010719588 0.008199719 0.008942964 0.018000836 0.02298264 0.011332486 0.016855888 0.048048593 0.00480626 0.00458265 0.006421185 0.026042197 0.0063710515 0.020827232 0.0423584 0.05523801 0.010913436 0.0074863955 0.008667947 0.017901365 0.023248108 0.009892947 0.019703295 0.042199563 0.004192248 0.0052978834 0.005669983 0.019345518 0.007917382 0.019026099 0.03502081 0.00030302722 0.00013878137 0.00014737563 0.0001539009 0.00013925883 0.0001271632 0.00015374176 0.00013909968 0.00014100951 0.00011570419 0.00012429846 0.00011570419 0.00012254778 0.00011140706 0.00011777318 0.00013082373 9000.0 14.055778 126502.0 0.01791276 0.0010355568 0.0012648022 0.0008379314 0.012070956 0.001185752 0.0012489922 0.0017232929 0.007746913 0.001154132 0.0011462269 0.0020078735 0.0077864383 0.0018418682 0.008173784 0.0018497731 0.024410682 0.018007621 0.01758075 0.01770723 0.023580655 0.018442396 0.01735941 0.016481953 0.022039177 0.020055018 0.019462142 0.01835544 0.024711072 0.017462175 0.017525414 0.023153784 0.030205056 0.010829869 0.004181752 0.015557067 0.012561066 0.0040947967 0.007011747 0.0045137624 0.011074924 0.0045453827 0.0013517573 0.0013912823 0.009889171 0.0056678946 0.0023003588 0.00296438 0.016545193 0.0036600211 0.0045453827 0.009154006 0.012229056 0.003470301 0.01203143 0.008007779 0.007960348 0.0016995779 0.0013833774 0.001810248 0.0073674726 0.0021264486 0.0026718946 0.008181688 0.007620433 0.021643927 0.007138227 0.013367377 0.017430555 0.03921677 0.005272644 0.005905045 0.013217182 0.02022893 0.004577003 0.0028537097 0.022062892 0.0074386178 0.02051351 0.028284138 0.015122291 0.0013833774 0.023786185 0.016070893 0.04227601 0.011035399 0.0033042955 0.0039683166 0.010284422 0.0057390397 0.0013833774 0.0009802217 0.007573003 0.0010987968 0.0018418682 0.0010750818 6.0693717 2.0 30.0 0.0 3.0 3143040.0 3194880.0 1.0 3.0 763.0 1.0 1.0 1.0 1.0 0.0 1544749000.0 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 11.0 0.0 5.0 1.0 5.0 1.0 1988096.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -502272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 459264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1988096.0 0.0 136704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8784626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9437766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9399385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5758986 0.0 4.580015 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -501918.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 458957.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1988039.0 0.0 136552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -2.0 1.0 0.0 2.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -2.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 1.0 -2.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 2.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 -1.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -2.0 2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 3.0 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 1.0 0.0 0.0 2.0 0.0 1.0 -1.0 -1.0 2.0 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 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 2.0 0.0 0.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -2.0 2.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 -1.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -3.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 3.0 1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 1.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 1.0 1.0 4.0 1.0 1.0 2.0 0.0 1.0 1.0 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 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 -2.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -2.0 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 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 -1.0 0.0 0.0 -1.0 -3.0 0.0 -1.0 -3.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 1.0 -2.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 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 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 2.0 -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 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 2.0 0.0 -1.0 2.0 2.0 0.0 -1.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 -2.0 -2.0 0.0 1.0 1.0 -1.0 -1.0 1.0 1.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 -2.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 2.0 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 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 3.0 0.0 -1.0 1.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -2.0 1.0 0.0 -1.0 1.0 -1.0 2.0 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 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 189.0 2453520.0 440.0 2435976.0 136552.0 2551808.0 0.0 0.0 12672.0 3130368.0 157824.0 2691072.0 56.0 1999200.0 0.0 0.0 0.0 0.0 24.0 2265912.0 64.0 2265840.0 0.0 0.0 3136.0 1994752.0 0.0 0.0 0.0 0.0


Input: 0.005863476 0.004190196 0.004074074 0.004083467 0.0041971914 0.0040502897 0.004030103 0.003977938 0.0041386303 0.003955353 0.0040051197 0.004000123 0.004066079 0.003934367 0.0039499565 0.003997125 0.004085866 0.0038790042 0.0039411625 0.0039281715 0.0040267054 0.0039265724 0.0039459593 0.0039173784 0.0040331013 0.003882202 0.003928571 0.0038416293 0.0039603496 0.0038784046 0.0038925952 0.0039107827 0.0040758722 0.0039023885 0.0039071855 0.0038893973 0.004009317 0.0039137807 0.0038885977 0.0039649466 0.00396015 0.0038700101 0.0038634145 0.003936166 0.00389999 0.0038296373 0.0038646138 0.003837232 0.0040578847 0.0038134481 0.0039199768 0.0038786044 0.003913581 0.0038480249 0.0038877982 0.0038935945 0.0039995234 0.0039305696 0.0038302368 0.003943561 0.0039199768 0.003822642 0.0038276385 0.0038214426 0.0040430943 0.0039413623 0.0039757392 0.0038879982 0.003904987 0.0038364327 0.0039295703 0.0039127814 0.00397494 0.0038712095 0.0038752067 0.0038496237 0.003908984 0.0039159795 0.0038780048 0.003888398 0.0039803362 0.0039025883 0.003943561 0.003895593 0.0039005897 0.003892795 0.0040075183 0.0039921287 0.0040113158 0.0038846005 0.0038350336 0.003820843 0.0038925952 0.0038188444 0.0038692108 0.0039317687 0.0039819353 0.003882002 0.0038804032 0.00384063 0.003893994 0.0038736078 0.0038945938 0.003880603 0.0040265056 0.003880603 0.003985133 0.0038618157 0.0038979915 0.003913381 0.0038430283 0.0038788044 0.003964347 0.0037858665 0.003921176 0.0039277715 0.004083867 0.0040370985 0.0039307694 0.0038300368 0.0039371653 0.0039057862 0.003809051 0.0038246405 0.003924574 0.003798458 0.0038640143 0.0038518223 0.0040518884 0.003964147 0.003906186 0.0039711427 0.004000323 0.0039469586 0.003868811 0.003854021 0.00395955 0.003946559 0.00384043 0.0039701434 0.0038524219 0.0039321687 0.0038402302 0.003773075 0.0039293705 0.0038286378 0.0038586177 0.0038610161 0.0038562194 0.0037676787 0.0038156465 0.0038814025 0.0038518223 0.003792662 0.0037848672 0.0038528217 0.0038644138 0.0037576854 0.0038608164 0.0038334348 0.003938564 0.003875007 0.0038544207 0.0038422288 0.0039083846 0.0038626152 0.0038006566 0.0038144474 0.0038891973 0.003838831 0.0038024555 0.0038268392 0.0039455597 0.0038080516 0.003821043 0.003821043 0.003995726 0.0038348336 0.0037842675 0.003801456 0.0038961926 0.003844827 0.0038756065 0.0038276385 0.0039265724 0.0038114493 0.0038544207 0.0038440276 0.0038214426 0.0038608164 0.0038514226 0.0038664127 0.004022308 0.003947958 0.003934367 0.0039323685 0.0038943938 0.0037530884 0.003936166 0.0039143804 0.003948957 0.0037982583 0.0038076518 0.0038266391 0.0038929947 0.003824041 0.0038720088 0.0038230417 0.0038887977 0.0038282382 0.003916379 0.0038873986 0.003882002 0.003815047 0.003836033 0.0038002569 0.003925173 0.0038338343 0.0038983913 0.0038290375 0.0038925952 0.0038134481 0.003909184 0.0038572187 0.004057285 0.0038186447 0.0038170456 0.003824041 0.0039875316 0.0037824688 0.0037960596 0.0037878652 0.0039371653 0.0038412295 0.003838831 0.0039983243 0.003913981 0.0037906633 0.0038266391 0.0038274387 0.0039249733 0.0038496237 0.003838831 0.0038080516 0.0038774053 0.0037574854 0.0038652134 0.0038300368 0.003924174 0.0037918624 0.0037696774 0.0038358332 0.0038638143 0.0037868659 0.0039531547 0.004716244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017951957 2.0990597e-06 1.7991939e-06 1.0995075e-06 1.1994626e-06 9.995522e-07 1.4993283e-06 1.5992836e-06 4.6978953e-06 7.996418e-07 1.4993283e-06 1.0995075e-06 1.0995075e-06 8.9959696e-07 4.1981193e-06 5.997313e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00012364461 9.995522e-08 6.6969997e-06 9.19588e-06 6.796955e-06 3.1985671e-06 3.538415e-05 1.6892433e-05 9.995522e-08 5.997313e-07 5.997313e-07 8.9959696e-07 9.995522e-08 9.995522e-08 2.9986566e-07 9.995522e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00024728922 5.0977164e-06 6.297179e-06 8.596149e-06 1.2594358e-05 1.27942685e-05 2.1790238e-05 1.7792028e-05 8.496194e-06 8.096373e-06 7.696552e-06 8.6961045e-06 1.169476e-05 1.3194089e-05 8.396239e-06 1.0895119e-05 0.00025508573 8.096373e-06 5.9073536e-05 4.4180208e-05 2.3289565e-05 1.4693417e-05 9.125911e-05 5.7174388e-05 1.30941335e-05 4.7978506e-06 4.2980746e-06 5.897358e-06 6.3971343e-06 1.27942685e-05 7.096821e-06 6.8969102e-06 0.00016162758 6.796955e-06 4.2980746e-06 8.496194e-06 7.4966415e-06 7.9964175e-06 9.795612e-06 1.1994626e-05 1.03953425e-05 7.696552e-06 9.895567e-06 1.0995074e-05 2.219006e-05 4.747873e-05 6.0173043e-05 2.2090104e-05 0.0003017648 1.7891984e-05 1.3294044e-05 4.0281953e-05 2.3289565e-05 6.577053e-05 4.787855e-05 5.727434e-05 3.1285985e-05 6.157241e-05 1.9791134e-05 7.45666e-05 4.997761e-05 6.0173043e-05 3.6683567e-05 0.00012204533 0.00052886305 6.1372506e-05 5.0777253e-05 9.145903e-05 7.7865116e-05 0.00013873784 0.0001926137 0.00016862445 9.6156924e-05 0.00016862445 0.00011974636 0.00014893328 0.00023449495 0.00023499472 0.00014663431 0.0004060181 9.0659385e-05 2.089064e-05 2.4588984e-05 2.9786655e-05 3.5284193e-05 6.886914e-05 4.677904e-05 3.8182894e-05 2.8787103e-05 3.7783073e-05 7.636579e-05 4.9477832e-05 8.186333e-05 8.256301e-05 2.2889746e-05 8.406234e-05 0.064552784 0.062860735 0.06244992 0.062081087 0.06241114 0.0622713 0.06197044 0.06203171 0.062490005 0.061110623 0.061414786 0.06140109 0.06172485 0.06136761 0.06156582 0.06174544 23711.0 5.6785035 134643.0 0.012625981 0.010457283 0.009781422 0.0100265145 0.010784074 0.010271607 0.0096106 0.010769219 0.010687522 0.010152774 0.010019087 0.010850917 0.010271607 0.010412721 0.010546408 0.00993739 0.0110365935 0.0101676285 0.010501846 0.010011661 0.01071723 0.010234472 0.0107320845 0.009722006 0.010509273 0.010910333 0.009060998 0.010709803 0.0104721375 0.010531554 0.010019087 0.0103087425 0.0110365935 0.010509273 0.0106132515 0.010509273 0.010561262 0.010093358 0.01021219 0.011051447 0.010576116 0.010345878 0.010241899 0.0097665675 0.011266831 0.010702376 0.0103310235 0.010241899 0.011081155 0.010301315 0.010509273 0.010412721 0.010553835 0.00993739 0.011066301 0.010546408 0.010813782 0.01013792 0.009491767 0.010108212 0.010538981 0.009632881 0.010033942 0.010546408 0.010108212 0.010628105 0.010375585 0.010145348 0.010665241 0.010739511 0.010516699 0.010821208 0.010531554 0.009981953 0.010516699 0.009848265 0.01104402 0.010516699 0.010152774 0.010910333 0.010568689 0.009751714 0.010405294 0.010709803 0.011222269 0.010769219 0.010427576 0.01026418 0.010680094 0.010509273 0.009981953 0.010479565 0.010301315 0.009625454 0.010746938 0.00943235 6.58349 1.0 0.0 0.0 89.0 5003346.0 909312.0 0.0 0.0 12.0 0.0 1.0 0.0 0.0 0.0 386048.0 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 303104.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -301568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.932732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.6216345 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -303104.0 0.0 0.0 0.0 0.0 0.0 516096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 724.0 905548.0 82252.0 823296.0 0.0 0.0 6480.0 20379144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 821204.0 0.0 0.0 0.0 0.0 96.0 582540.0 0.0 0.0


Input: 0.20822199 0.009500399 0.0067294035 0.0040438566 0.009118652 0.011259322 0.0068814363 0.0045865146 0.00847168 0.0026822176 0.0031926935 0.0028020686 0.006803755 0.0019997337 0.0012351297 0.0031649503 0.024910111 0.0011985085 0.0012906161 0.00045609908 0.0027665573 0.0015236594 0.00093439274 0.0005526456 0.0023837003 0.0009299538 0.00064586295 0.0006192294 0.0026189631 0.0006303267 0.00087557704 0.0011641069 0.003433505 0.0007990057 0.00089333276 0.0005637429 0.013215776 0.0011874113 0.00048717152 0.0005260121 0.0014182351 0.00040838067 0.00055153586 0.0010375977 0.0013216885 0.0004982688 0.00094216084 0.00071244675 0.0054310192 0.002495783 0.0019131748 0.0044389204 0.003503418 0.0017589222 0.0020174894 0.0019830877 0.0022361062 0.0023115678 0.0019309304 0.0032282048 0.0033069958 0.002105158 0.002717729 0.010100763 0.029757412 0.014107999 0.0036365855 0.0030883788 0.0063953744 0.010301624 0.0037531073 0.0077215023 0.0021451083 0.0028198243 0.0009920987 0.0009033203 0.0071644178 0.007613858 0.0027144 0.0018465909 0.010956366 0.0034878817 0.0029862837 0.0144020775 0.0045365766 0.0052068536 0.0125799 0.002994052 0.005641868 0.0023537376 0.005575284 0.0009876598 0.001468173 0.0013183594 0.0032237659 0.001883212 0.0011030717 0.01389937 0.0020829635 0.004050515 0.0056340997 0.025032181 0.004009455 0.0041515003 0.0047096945 0.01147239 0.0033103249 0.0023093484 0.011251554 0.004477761 0.0126087535 0.008250844 0.008336293 0.000530451 0.011922941 0.0062610973 0.02134011 0.012239213 0.0014293324 0.0011785334 0.0018266158 0.0031139026 0.0006891424 0.00032958985 0.0014626243 0.0011530096 0.0012484464 0.0007601651 0.0016190963 0.00088889385 0.00042613636 0.007393022 0.0029840642 0.0026455966 0.0003173828 0.00031294388 0.001171875 0.005583052 0.0008289684 0.0168224 0.0016978871 0.006611772 0.0005215732 0.00034845524 0.0016224254 0.00031849253 0.00029740768 0.0005382191 0.0009932085 0.0003728693 0.0003606623 0.00030073687 0.00072354404 0.00037064985 0.00027521307 0.00039506392 0.00077903055 0.00028852982 0.00025301846 0.0002940785 0.0011685458 0.0016534979 0.00031183416 0.0009443803 0.00083784625 0.00040727094 0.00031627307 0.000250799 0.0007568359 0.00025634764 0.00026411578 0.0003140536 0.0008744673 0.00026411578 0.0002729936 0.0002474698 0.0009754528 0.00034068714 0.0003528942 0.0003318093 0.00086891867 0.0003684304 0.0005448775 0.00053156074 0.0013338956 0.0004394531 0.00035178446 0.00031960226 0.001155229 0.00032848012 0.0003939542 0.00068803265 0.004284668 0.0017788974 0.0024358577 0.002907493 0.0042036576 0.0006314364 0.0026123046 0.0038097035 0.0015181107 0.0011485707 0.0005049272 0.00046941583 0.024608266 0.00047607423 0.00078125 0.00069580076 0.0017644708 0.00055042614 0.0007379705 0.000501598 0.00082120026 0.00032848012 0.00041725853 0.0003828569 0.0013993697 0.0011219372 0.0004572088 0.00065696024 0.0016412908 0.0028242632 0.0005160245 0.00064253376 0.0020474521 0.00045831854 0.0007457386 0.00043612393 0.0010786577 0.00039617365 0.00042946555 0.0003606623 0.009312855 0.0016279741 0.00039284446 0.0020308062 0.0017944336 0.00037397904 0.0006048029 0.0005925959 0.0018055309 0.0017444957 0.0006281072 0.00067693536 0.0019564542 0.00076793326 0.0016756925 0.0009543679 0.0020796342 0.00090110087 0.0005404386 0.0008700284 0.001957564 0.00071688567 0.003339178 0.021841709 0.07842664 7.165902e-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 0.0021392163 0.00011665422 8.887941e-06 8.887941e-06 1.6664889e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004191775 2.0553363e-05 9.998934e-06 6.443757e-05 2.833031e-05 2.8885808e-05 2.3886341e-05 1.8331379e-05 2.0553363e-05 1.6109392e-05 2.6663822e-05 1.944237e-05 1.8331379e-05 1.944237e-05 1.944237e-05 2.4441837e-05 0.0 0.0 0.0 0.0 0.0008532423 0.0002844141 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029041346 3.2774282e-05 3.721825e-05 3.1107793e-05 4.832818e-05 3.1107793e-05 0.0001060998 4.4439705e-05 1.9997868e-05 1.9997868e-05 2.7774815e-06 3.888474e-06 6.6659554e-06 1.7220385e-05 9.998934e-06 9.721185e-05 0.0063382126 0.00016109392 0.00049105874 5.277215e-05 7.721398e-05 7.8880475e-05 8.387994e-05 0.00010776628 6.943704e-05 6.443757e-05 6.332658e-05 8.4990934e-05 6.8326044e-05 6.8326044e-05 5.9438105e-05 9.443437e-05 0.0080197 0.0007382546 0.0001199872 9.387887e-05 0.0001349856 0.00042328818 0.00011832071 0.00054660835 8.887941e-05 0.00012220918 9.221239e-05 0.00012387568 0.00013887408 9.8322846e-05 0.00010776628 0.0004094008 0.026589941 0.0035262904 0.0005471639 0.0003455187 0.002404188 0.0020597803 0.0053316536 0.003674608 0.00020108966 0.0002866361 0.00020664462 0.00035274014 0.0004955027 0.00046883887 0.0005588293 0.003007457 0.014520118 0.0008432434 0.00045828446 0.0047272737 0.050622933 0.03089337 0.06542302 0.0334431 0.00023330844 0.0001349856 0.000109988265 0.00013887408 0.00047050536 0.00022941997 0.00024275188 0.0011493219 0.008757399 0.0017748107 0.00046217293 0.007429763 0.019821774 0.010858842 0.014751204 0.008623525 0.00013165262 0.00021886555 0.00012220918 0.00011832071 0.00012776416 0.00016720439 0.00016053843 0.0004216217 0.023840236 0.004926697 0.001122658 0.0018581351 0.0036168364 0.0035740633 0.00554052 0.00418622 0.000974896 0.0010798848 0.0010004488 0.001123769 0.0009998933 0.00092156837 0.0009343448 0.0011826516 0.02885081 0.0058665965 0.003541289 0.021248845 0.0055510746 0.0054022013 0.009375666 0.005443308 0.005283881 0.0023197525 0.0021642137 0.0021003315 0.011037156 0.0022914223 0.0025419511 0.0030224554 0.012191477 0.004052901 0.0023958555 0.0029757938 0.002560838 0.0021586586 0.0059582535 0.0035262904 0.0026286086 0.00045717345 0.0006210449 0.00042995415 0.0036818294 0.0009626751 0.0009854505 0.002194766 0.039544117 0.010515545 0.009366224 0.0059204795 0.010162805 0.012279801 0.0060221353 0.0067992746 0.021262176 0.0016759323 0.0021975434 0.0024258525 0.02178212 0.0054871924 0.008406325 0.014764536 0.033650298 0.0108027365 0.009357335 0.0066648447 0.009111251 0.011515439 0.005639954 0.0074008773 0.019267945 0.001719261 0.0025097323 0.002332529 0.0140635 0.0039629107 0.0086224135 0.016063843 7.277002e-05 8.332445e-05 9.721185e-05 0.00010665529 7.44365e-05 9.721185e-05 8.943491e-05 7.943597e-05 4.4995202e-05 6.721505e-05 3.2774282e-05 7.8880475e-05 3.166329e-05 7.1103525e-05 5.277215e-05 5.7771616e-05 10030.0 27.577467 276602.0 0.0026644783 8.676727e-05 0.0008965951 0.00019522636 0.0015835026 0.0013087397 0.0001301509 0.0002566865 0.0007013687 0.00015545802 7.230606e-05 0.000119305 0.0011135133 0.00020607226 0.0015256578 0.0010954367 0.008636959 0.0035176896 0.002375254 0.001861881 0.005278342 0.001861881 0.0028633198 0.0025994028 0.002328255 0.0016811158 0.0019161105 0.0016811158 0.004584204 0.0022053348 0.0039081424 0.02644594 0.08780125 0.042635266 0.009721549 0.008485116 0.0072052986 0.024150223 0.005817022 0.02261372 0.0031127757 0.007339065 0.0013557386 0.0016919618 0.0079030525 0.020195082 0.0034200766 0.0042769033 0.018329585 0.0057989457 0.0061423997 0.031239832 0.009146716 0.012147417 0.029837094 0.0043130564 0.015354191 0.001109898 0.016536396 0.0005676026 0.0009652859 0.0006037556 0.00060014025 0.0019233411 0.0006652157 0.043907855 0.0056037195 0.012020882 0.0108784465 0.079482436 0.0054121083 0.012331798 0.008007896 0.03619641 0.0014461211 0.005896559 0.03410677 0.013264546 0.03806914 0.025346888 0.011456895 0.0006579851 0.036847167 0.01821028 0.05520206 0.02810898 0.0027476302 0.002064338 0.0037816067 0.007787362 0.0009869777 6.507545e-05 0.00095805526 9.399787e-05 5.7844845e-05 0.00014099681 5.4136043 1.0 1.0 0.0 2.0 901120.0 909312.0 1.0 4770.0 102.0 1.0 1.0 0.0 0.0 0.0 1172347000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 327680.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 413696.0 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 -49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -327680.0 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 -5.8954377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.910036 0.0 0.0 -0.5587761 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.899779 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.504281 0.0 3.6126215 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40914.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 413270.0 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 -55620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -324474.0 0.0 1524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 -1.0 -1.0 -6.0 9.0 1.0 1.0 1.0 -3.0 2.0 -8.0 9.0 -3.0 4.0 9.0 0.0 -2.0 -1.0 5.0 7.0 3.0 -4.0 -9.0 2.0 1.0 1.0 -1.0 -5.0 -6.0 2.0 -5.0 10.0 -5.0 5.0 -8.0 -7.0 -3.0 7.0 -1.0 12.0 3.0 -5.0 -2.0 -2.0 -2.0 9.0 -5.0 -10.0 3.0 -4.0 1.0 5.0 5.0 2.0 -5.0 0.0 2.0 -7.0 -3.0 13.0 4.0 -1.0 6.0 3.0 9.0 5.0 -4.0 -9.0 5.0 -1.0 4.0 -4.0 -4.0 -9.0 2.0 10.0 -2.0 4.0 -5.0 1.0 -4.0 8.0 3.0 -3.0 -8.0 -2.0 6.0 3.0 0.0 -11.0 -3.0 -3.0 -9.0 14.0 0.0 -2.0 4.0 11.0 2.0 -14.0 1.0 -10.0 -1.0 -18.0 5.0 1.0 -5.0 -4.0 -3.0 0.0 4.0 4.0 8.0 -5.0 -14.0 5.0 3.0 13.0 -4.0 -10.0 -4.0 -6.0 5.0 4.0 2.0 -2.0 -2.0 3.0 256294.0 488752.0 60.0 486484.0 1524.0 802816.0 0.0 0.0 0.0 0.0 33960.0 806912.0 28.0 332288.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 445320.0 0.0 0.0 416.0 331776.0 0.0 0.0 0.0 0.0


Input: 0.18669207 0.025823468 0.013264473 0.010508232 0.011158701 0.0060384944 0.0049544945 0.005155961 0.010400967 0.0029137009 0.0034049903 0.0036563077 0.007114931 0.004832102 0.0025888104 0.0055946494 0.005868314 0.0044181673 0.0020101957 0.0024100346 0.0031440465 0.0031529854 0.0020177593 0.0010558083 0.0028253444 0.0027988718 0.0015082484 0.0015305954 0.0026651337 0.0011060031 0.000996331 0.0016144825 0.007691139 0.0010090516 0.0014766189 0.0012682764 0.0047526844 0.0013879186 0.0015539738 0.001080218 0.002426193 0.0008914721 0.0011596357 0.0020225726 0.0016801482 0.0013012812 0.0018049474 0.0014412075 0.003067723 0.001054433 0.0016213584 0.0039100316 0.0025197065 0.0011366012 0.0011073782 0.0011090972 0.0019287153 0.0021050845 0.0013095323 0.002469512 0.0016523005 0.0011761381 0.0010657784 0.0009880798 0.0048706075 0.00295977 0.002026698 0.0031509225 0.004280304 0.014838731 0.0040833065 0.0014573662 0.0027442076 0.0014350192 0.0008897531 0.0011909215 0.0023615588 0.012319367 0.0019603448 0.0014057962 0.011050748 0.0032045553 0.0019211516 0.0049434933 0.0020810184 0.0029467056 0.0056427815 0.0041726944 0.0023007062 0.0022391663 0.0014006392 0.0022281646 0.0052202516 0.0028727886 0.0039571323 0.005039757 0.004991625 0.003911751 0.0016825548 0.0020071014 0.0047324 0.00634482 0.0035150063 0.0013122828 0.006609202 0.0033396685 0.0056121834 0.0011073782 0.0034575916 0.0018534232 0.0030017134 0.003373017 0.0026737289 0.0014841824 0.0033853936 0.003198023 0.009617103 0.007865445 0.0023340548 0.004075399 0.0016722408 0.0012204882 0.00080620986 0.00086018635 0.0021717814 0.0022546372 0.0017035266 0.0010269291 0.0033355427 0.0018857403 0.0010386183 0.007809062 0.0023773736 0.0051504606 0.0015027476 0.0009189761 0.0024536971 0.008579173 0.0014635545 0.026259063 0.0017788187 0.016490687 0.0013858558 0.0009021299 0.003069098 0.0009860169 0.00068725523 0.0012565872 0.0011458838 0.0010740297 0.00087875157 0.00070925837 0.0011720125 0.0019318095 0.00093822886 0.0009086621 0.0010970642 0.0007611721 0.0011579167 0.0010712793 0.0012277081 0.0011087534 0.0007649539 0.025825188 0.0012070801 0.0012799655 0.0006827858 0.001092251 0.001268964 0.0006394671 0.0010073326 0.0008216808 0.001133507 0.001359727 0.00080070907 0.00081583625 0.0014267679 0.0011311003 0.0006783164 0.0007824877 0.0011486341 0.00072919874 0.0010540893 0.0009942682 0.002946018 0.001498622 0.0007209476 0.0021236495 0.00138895 0.00068416103 0.0012469608 0.0011733877 0.005367054 0.0020428568 0.0026035937 0.0031767075 0.0028095297 0.0008364642 0.004910488 0.002591217 0.002958051 0.0022426043 0.0006941312 0.0014405199 0.004830039 0.00087909534 0.003479251 0.0028762268 0.0022460422 0.0010114581 0.0010898444 0.0007694233 0.0015660068 0.00051741826 0.0009079745 0.00087909534 0.0021752196 0.0008993795 0.0007776745 0.0049654962 0.0019177137 0.0017960087 0.0005827402 0.0011830141 0.0022934866 0.0007563589 0.00059855497 0.0008123982 0.0020737986 0.00073710614 0.00060508715 0.0006377481 0.021676214 0.005027036 0.0007659853 0.0032557813 0.0049682464 0.0006882866 0.0011273186 0.00075188954 0.006334506 0.0020211972 0.0008364642 0.00082546263 0.003146797 0.001236303 0.0021803766 0.0017726303 0.0035356341 0.0016956192 0.0012854664 0.001438801 0.014942214 0.0024784505 0.002667884 0.046073604 0.02536173 5.899277e-05 7.5675853e-06 6.879623e-07 6.879623e-07 0.0 0.0 1.0319435e-06 5.675689e-06 1.0491425e-05 0.0101140775 6.1916608e-06 4.9877267e-06 2.7518493e-06 1.0319435e-06 0.0014089468 0.0046831314 0.00019813314 1.9434936e-05 2.7174512e-05 5.159717e-06 8.77152e-06 5.4349024e-05 3.4398115e-06 1.8574983e-05 7.911566e-06 0.0026789252 1.2899293e-05 1.23833215e-05 0.00034329318 6.0196703e-06 2.1842803e-05 0.0066725463 0.00037665936 8.2383485e-05 0.00012176933 0.00012400521 1.9090954e-05 1.2211331e-05 1.9950907e-05 8.152353e-05 3.5430057e-05 0.0028519477 3.4398116e-05 2.390669e-05 0.0029191962 0.00011574966 0.0016554093 0.002026909 0.0002280595 0.00041914103 8.8403154e-05 3.525807e-05 1.479119e-05 0.00032334228 3.4570105e-05 0.0001788702 4.179371e-05 0.0021168601 0.00025660993 0.00015582347 5.348907e-05 8.427538e-06 5.675689e-06 0.0063290815 0.00083587423 0.00023304723 9.889458e-05 0.00014017233 0.0003997061 0.00075779046 9.149899e-05 9.3906856e-05 0.00010749411 0.0023067377 8.2383485e-05 0.00010491425 0.000102334394 3.560205e-05 0.00025660993 0.0051382184 0.0009079383 0.00042068894 0.0003780353 0.00020656068 0.00014447208 0.00036960776 0.00037339155 0.0004069297 0.0003580844 0.0020518475 0.00031611868 0.00025265416 0.00015823133 4.38576e-05 9.717468e-05 0.010190958 0.00070344144 0.0006711072 0.00046815837 0.00070894515 0.00035842837 0.0006874463 0.0006530482 0.0004905171 0.0004547431 0.001477743 0.00038422694 0.00028739625 0.00031113095 0.00024147477 0.0012842537 0.028185472 0.0021412827 0.0023039859 0.0008817957 0.0016371784 0.0020258771 0.004398143 0.0024379664 0.000858061 0.0011227545 0.0017964416 0.00057823234 0.0006767829 0.00047366205 0.00037631538 0.003998265 0.0392197 0.0031190491 0.0034759296 0.002007646 0.0025521682 0.0041019754 0.0056332075 0.0041162507 0.0014319936 0.0013446223 0.0019075475 0.0010491426 0.0011812312 0.0011791674 0.0008522133 0.004672468 0.017191146 0.0015011338 0.0041270857 0.002027941 0.0035347503 0.0025900062 0.010158967 0.006295715 0.0011910348 0.00091344194 0.0010334913 0.00088231167 0.0006115985 0.00097329466 0.00077774137 0.002900449 0.01731412 0.0016775961 0.0029713092 0.0029857564 0.0031338404 0.0035741362 0.0049375053 0.0036298612 0.001588849 0.0011920667 0.0010685774 0.0015735418 0.0012383321 0.001276514 0.00078943674 0.0031795898 0.018024785 0.002264256 0.0025662715 0.0023583348 0.0024131997 0.0044476762 0.003176322 0.0026202765 0.0023063936 0.0020516757 0.0017040826 0.0020415282 0.0022283099 0.0016499056 0.0013922637 0.004055882 0.010713809 0.0022596123 0.0020559754 0.001879513 0.0037880924 0.002154354 0.0023624625 0.0021139362 0.0037858565 0.0018557783 0.0015472273 0.0017991934 0.0020370565 0.0019379898 0.0036240134 0.006454978 0.05990363 0.010544742 0.0062310467 0.007197634 0.021793958 0.020467224 0.011233737 0.011854795 0.036165148 0.004356005 0.004050206 0.005641635 0.017618543 0.0055401605 0.019434934 0.03200676 0.052953146 0.012268776 0.00734245 0.007685743 0.021898873 0.020920418 0.0126812095 0.01205138 0.03474227 0.0049719037 0.004326423 0.005056351 0.017307067 0.006353504 0.019087171 0.030518869 2.5626596e-05 5.1425184e-05 2.4078681e-06 2.2702756e-05 1.7371049e-05 1.5995123e-05 2.390669e-05 3.4914086e-05 2.8034465e-05 2.6486548e-05 2.5282616e-05 2.2014794e-05 1.9262945e-05 2.1498823e-05 1.3243274e-05 2.063887e-06 14491.0 16.150852 234042.0 0.04754702 0.003315644 0.009344476 0.0067081978 0.0050845575 0.005725468 0.0066013793 0.0039437367 0.013728305 0.003170371 0.006750925 0.0062424694 0.006101469 0.0073918356 0.009212022 0.010476752 0.01962041 0.0057169227 0.0076482 0.0134719405 0.017522495 0.003546372 0.006464652 0.0069218343 0.008306202 0.0054562856 0.009241931 0.0028285522 0.0030165527 0.0029054615 0.004311192 0.003708736 0.005845105 0.011703027 0.0052298307 0.016642312 0.010643389 0.011168935 0.009194931 0.004332556 0.0066013793 0.0057981047 0.0025123695 0.0053751036 0.01034857 0.006584288 0.0063706515 0.007780655 0.008545475 0.00477692 0.010344298 0.014950308 0.009993933 0.005105921 0.014847762 0.007306381 0.0042513735 0.0046658292 0.007998564 0.006345015 0.009840114 0.004670102 0.004204374 0.007208108 0.0060630143 0.023089873 0.013916305 0.013262576 0.032485623 0.044120286 0.010122115 0.008703566 0.013518941 0.02736261 0.0042513735 0.006315106 0.02366242 0.013894942 0.0229916 0.026627699 0.010750207 0.0093829315 0.025102332 0.021671323 0.035814084 0.010771571 0.009981114 0.030144162 0.0060459236 0.0071183806 0.0029396433 0.0029567343 0.00530674 0.0029866435 0.0025209151 0.0029011886 6.1967993 7.0 12.0 6.0 6.0 2908672.0 2973696.0 0.0 0.0 624.0 0.0 1.0 0.0 0.0 0.0 1544891400.0 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 0.0 1024.0 4096.0 3.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1807872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 799744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4902973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.731629 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.1110415 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300004.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1860104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 799736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 -1.0 0.0 2.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -2.0 -1.0 0.0 0.0 2.0 1.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 -1.0 -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 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 2.0 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 2.0 -3.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 -2.0 -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 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 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 0.0 -2.0 1.0 -1.0 -2.0 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 -1.0 -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 2.0 0.0 -1.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2.0 1.0 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 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 1.0 -2.0 1.0 -1.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -3.0 0.0 0.0 0.0 0.0 2.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 -1.0 -1.0 -1.0 2.0 1.0 1.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -2.0 -1.0 1.0 1.0 1.0 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 -1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 1.0 0.0 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 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 2.0 0.0 0.0 2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -2.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 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 -2.0 -3.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -3.0 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 -1.0 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 1.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -3.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440.0 289840.0 799736.0 2170880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2948.0 4096.0 0.0 0.0 0.0 0.0