Input: 0.102858625 0.007262687 0.0054107914 0.0064111724 0.006250397 0.0035251523 0.0035608804 0.0036065327 0.007709286 0.002717305 0.0030527504 0.0037593686 0.007205126 0.0031122968 0.0028800655 0.009207873 0.0054445346 0.0024433911 0.0023818598 0.0023739203 0.003600578 0.0030666445 0.002683562 0.002346132 0.0033723165 0.0023878145 0.0022786458 0.0024652248 0.0029336573 0.002256812 0.0022468877 0.0027431084 0.0045056846 0.0022508574 0.0022449028 0.0028979294 0.0037097465 0.0023123887 0.0021277948 0.0024156028 0.0027470782 0.0022111598 0.0020880972 0.0036958524 0.0025882877 0.002989234 0.0023481168 0.0022607818 0.0032710873 0.002308419 0.0021317645 0.007492934 0.0026438644 0.0022190993 0.0023719354 0.0022190993 0.002681577 0.0027450933 0.0022508574 0.0039201444 0.0025049224 0.002479119 0.0022548272 0.0026220307 0.004297272 0.0040134336 0.0049840417 0.0067982245 0.0035172128 0.008352389 0.0049344194 0.0040352675 0.003108327 0.0026438644 0.0025227864 0.0021853563 0.0026279853 0.0052083335 0.0028066246 0.0026299702 0.005859375 0.0030011432 0.0026121063 0.0036144722 0.002683562 0.0046208077 0.0044104103 0.0040015243 0.0025704238 0.0040690103 0.0023123887 0.0029237329 0.0023699505 0.0044084257 0.0035033186 0.0034338478 0.0032452838 0.0036621094 0.0024235423 0.0029277026 0.0035767595 0.004771659 0.004436214 0.002651804 0.0037256256 0.0032492536 0.0051011494 0.0022389481 0.0032849815 0.0028502923 0.003652185 0.0039102198 0.0033564374 0.0026637132 0.004110693 0.004485836 0.007951442 0.00807252 0.0028066246 0.0026081365 0.0029654154 0.002683562 0.002429497 0.0022548272 0.0025585142 0.0035191977 0.002953506 0.0028483074 0.005990377 0.003191692 0.0021655075 0.008586604 0.003364377 0.009241615 0.0021794017 0.0022369632 0.0030150374 0.009039158 0.0026875318 0.020920668 0.0024433911 0.0072785662 0.0021694773 0.002274676 0.0024235423 0.0019789285 0.0020345051 0.0023044492 0.0024314818 0.0026875318 0.0019114425 0.0018657901 0.002528741 0.0021178704 0.0019809133 0.002191311 0.0022449028 0.0021833715 0.0019928226 0.0024414062 0.0028840352 0.0027748665 0.0019074727 0.0024354516 0.0023163585 0.0021992505 0.0019451855 0.0019094576 0.0024195726 0.0021436738 0.0021119157 0.0022210842 0.0021317645 0.0019253367 0.0020722179 0.0021774168 0.0024989678 0.0021337494 0.0018737296 0.002090082 0.0023481168 0.0023897993 0.0042397105 0.002496983 0.002749063 0.0023818598 0.0024036935 0.0022052051 0.0023242983 0.002272691 0.0024175877 0.0024334667 0.007925638 0.007830364 0.0037712778 0.0048510544 0.0037772325 0.002274676 0.0038328094 0.0049979356 0.0047617345 0.004420335 0.0027808212 0.0027232596 0.007842273 0.002272691 0.0027431084 0.0028165493 0.0034100292 0.0028165493 0.002546605 0.0024572853 0.0025406503 0.0021139006 0.0023520866 0.002139704 0.003074584 0.002330253 0.0022965097 0.00254462 0.0028641864 0.0021535982 0.00220719 0.0022488725 0.004315136 0.0028622015 0.002240933 0.0023997237 0.003429878 0.0028582318 0.0023362075 0.002123825 0.010067327 0.003822885 0.0024910283 0.0043588034 0.0047140974 0.0022012354 0.0025942423 0.0028641864 0.0049999207 0.0027411235 0.0023679656 0.003092448 0.0037812022 0.0025644691 0.0040551163 0.0029435817 0.0051567266 0.0030467955 0.0028661713 0.0037871571 0.0045910347 0.0038506733 0.004872888 0.034844622 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001723404 4.3756365e-05 3.778959e-05 4.972314e-06 4.3756365e-05 1.2928017e-05 1.9889256e-05 2.486157e-05 1.8894794e-05 7.955703e-06 1.6905868e-05 6.9612397e-06 3.9778515e-06 1.0939091e-05 1.6905868e-05 4.27619e-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 0.007565873 1.5911406e-05 0.00028242744 4.972314e-05 0.00019889257 8.452934e-05 0.0011565603 0.00057579397 0.00011933554 3.3811735e-05 1.7900331e-05 5.966777e-06 0.00084231 6.9612397e-06 4.8728678e-05 0.0012152336 0.014399822 0.00024861572 0.0011883831 0.0001899424 0.0012788792 0.0004087242 0.0029664827 0.0015951184 0.00010242967 0.00013823033 6.96124e-05 7.1601324e-05 0.00017999778 0.00014021926 8.452934e-05 0.001377331 0.011858969 0.00033911184 0.0005201041 0.000348062 0.001271918 0.0005161262 0.0015702568 0.000896011 0.00050518714 0.0001233134 0.00014618604 0.00012828571 0.0003689457 0.00019292579 0.00024961017 0.0013315857 0.009469275 0.0006444119 0.00036297893 0.00028342192 0.0014519157 0.00044850275 0.0018526843 0.0011883831 0.0007816478 0.00023071538 0.00019392025 0.00027447173 0.00040574084 0.0003828682 0.000668279 0.001727382 0.008570281 0.00037292356 0.0008094927 0.00073391356 0.0017442878 0.0008462879 0.0044154148 0.0027437229 0.00018795347 0.0002436434 0.00028938867 0.00032320042 0.00032717828 0.00032021702 0.00050419266 0.0020078204 0.009499109 0.00073490804 0.00083932665 0.00070507417 0.0012560065 0.0008482768 0.0014499268 0.0013753421 0.00069910736 0.00060861127 0.00067026797 0.00084231 0.0009149058 0.00062054483 0.001216228 0.004196633 0.008430062 0.00059468875 0.0010471693 0.0020127927 0.0021351117 0.001671692 0.001005402 0.0017681549 0.005520263 0.00087512727 0.0009477231 0.0012520287 0.0061845644 0.0018705846 0.0027079224 0.008819891 0.059100926 0.009155025 0.006281027 0.008903426 0.019124515 0.016229633 0.008531497 0.0126982955 0.03723766 0.0028391914 0.0029923387 0.005749984 0.02431561 0.004658064 0.015358484 0.029553447 0.01615505 0.003029134 0.0021569899 0.0032190762 0.005922026 0.0056157317 0.0029684715 0.005476507 0.011538752 0.001055125 0.0010968925 0.0014668327 0.006607211 0.0024404118 0.00514734 0.009607505 0.031317625 0.029902503 0.02986869 0.029664826 0.030181946 0.029724494 0.029558418 0.029805046 0.03023167 0.029217318 0.029188478 0.029193452 0.02959223 0.02951665 0.029776206 0.029838858 1893.0 9.375594 17748.0 0.023890017 0.004225828 0.0052963714 0.004676583 0.0072684246 0.00450755 0.0034933514 0.0069303582 0.004451206 0.00631057 0.004901961 0.005352716 0.00540906 0.004282173 0.007606491 0.005634438 0.007662835 0.005183683 0.005127338 0.0059161596 0.005521749 0.0043948614 0.005240027 0.004901961 0.00450755 0.0054654046 0.005690782 0.0059161596 0.005578093 0.00450755 0.0060288482 0.006141537 0.0090151 0.009803922 0.006535948 0.010141988 0.008846067 0.00721208 0.011437909 0.010987153 0.008395312 0.008169935 0.005240027 0.0043948614 0.0074938023 0.007155736 0.006704981 0.0060288482 0.016283525 0.007775524 0.006761325 0.014311472 0.009465856 0.005803471 0.01042371 0.01262114 0.00721208 0.005803471 0.006535948 0.0048456164 0.007831869 0.0043948614 0.0050146496 0.011663286 0.0073811132 0.027270678 0.009071445 0.021805273 0.019100744 0.053132746 0.009071445 0.011099842 0.010311021 0.02473518 0.010367366 0.005634438 0.021917963 0.023608293 0.029299077 0.04068064 0.016283525 0.015100293 0.032905117 0.03994816 0.03977913 0.015212982 0.008057246 0.007155736 0.008057246 0.009691233 0.005183683 0.004451206 0.004789272 0.003155285 0.004225828 0.005183683 6.1881313 0.0 2.0 0.0 4.0 503808.0 536576.0 0.0 0.0 102.0 0.0 1.0 0.0 0.0 0.0 1261616900.0 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 11.0 0.0 5.0 1.0 5.0 1.0 181248.0 1024.0 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 39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -224768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181248.0 0.0 56832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8095636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.945974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6598916 0.0 6.987507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39846.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -247712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181132.0 0.0 56632.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 225860.0 56632.0 479232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 217240.0 0.0 0.0 420.0 188416.0 96.0 225148.0 0.0 0.0


Input: 0.300437 0.008940429 0.005793457 0.0068481443 0.008259278 0.003479004 0.0025854493 0.0026342773 0.009140625 0.0021313475 0.0018798828 0.0017651367 0.0069262697 0.0024267577 0.0015283204 0.009375 0.005842285 0.0011791992 0.0012841797 0.001418457 0.004038086 0.002890625 0.0013452149 0.0012597656 0.0024804687 0.0010229492 0.00079589844 0.0010522461 0.0023291016 0.0013110351 0.00082519534 0.0013574219 0.0050634765 0.00091796875 0.00069824216 0.0012011719 0.0066967774 0.0014941406 0.0007739258 0.0008227539 0.0014477539 0.00059082033 0.0006567383 0.0014526367 0.0011621094 0.0011328125 0.0008203125 0.0006762695 0.0030371093 0.0017480468 0.0017602539 0.005595703 0.0020605468 0.0021606446 0.0022265625 0.0017041016 0.0028393555 0.006340332 0.007866211 0.0067895507 0.002890625 0.003474121 0.0022534179 0.006020508 0.004904785 0.002092285 0.0012304687 0.0015356445 0.0033325194 0.011943359 0.0033642577 0.0018359375 0.002319336 0.0011083984 0.0006738281 0.0006689453 0.0015283204 0.004606934 0.0014794922 0.0008520508 0.0071899416 0.0023706055 0.000859375 0.0032104491 0.0013891602 0.0025024414 0.0045043947 0.002976074 0.0016479492 0.006809082 0.00078125 0.0013012695 0.0013671875 0.002973633 0.0023388672 0.0042138672 0.0015795898 0.0028686523 0.0011547852 0.0023364257 0.0022949218 0.0051782224 0.0063549806 0.0010961914 0.0034399414 0.0027978516 0.0051904297 0.0009887696 0.0026367188 0.0017016601 0.0027319335 0.0025048829 0.0027490235 0.0005126953 0.003347168 0.0030664064 0.013264161 0.012568359 0.0017016601 0.0017822266 0.0017480468 0.00095214846 0.0007421875 0.00049072265 0.014677734 0.0028515626 0.0013989258 0.0015283204 0.0044018556 0.002175293 0.0010180664 0.015734863 0.0037475587 0.008105469 0.0005078125 0.00050048827 0.0018188476 0.009350586 0.0018920898 0.019980468 0.0010131836 0.0075634765 0.00059082033 0.00070068357 0.0011669922 0.0005126953 0.0005395508 0.00047607423 0.0008496094 0.0006323242 0.00056640623 0.00048339844 0.000871582 0.00088134763 0.0004711914 0.0006591797 0.0008569336 0.0007617187 0.0005126953 0.0005566406 0.0020581055 0.0019677735 0.00052490237 0.0008520508 0.0007348633 0.0006518555 0.0003833008 0.00041259767 0.0010351562 0.0005102539 0.00037841796 0.00047363283 0.0012304687 0.00040771483 0.00036376953 0.0005444336 0.0009716797 0.0004711914 0.0004223633 0.00040039062 0.0014477539 0.0008544922 0.0015649414 0.0012329102 0.0012646484 0.00056396483 0.0007836914 0.0005053711 0.0010620117 0.0017773438 0.0012133789 0.001303711 0.007897949 0.0028930665 0.001472168 0.0061816406 0.0038891602 0.0009008789 0.0026586915 0.0029614258 0.0026586915 0.002734375 0.0016772461 0.00082763674 0.0012646484 0.0009448242 0.00090820313 0.0006713867 0.0018017578 0.0011230469 0.0013354492 0.0009814453 0.0011035156 0.00044677735 0.00072265626 0.00072753907 0.0024902343 0.0024536133 0.0007788086 0.0019042969 0.0018896484 0.0031445313 0.0007568359 0.0009765625 0.0036401367 0.0011499024 0.0010449219 0.00068115233 0.0024438477 0.00048828125 0.00080810545 0.0006347656 0.015705567 0.0032739257 0.0006738281 0.006049805 0.0031347657 0.00061035156 0.0008789062 0.0008911133 0.0035205078 0.0009057617 0.0013623047 0.0011547852 0.0015307617 0.00070068357 0.0031347657 0.0028710938 0.005056152 0.0017285156 0.00125 0.0015698242 0.0051245117 0.004267578 0.0073168944 0.0478418 0.17790325 2.447525e-06 3.6712877e-06 8.566338e-06 0.0 0.0 0.0 6.1188125e-06 0.0 0.0 0.0 0.0 1.2237625e-06 7.3425754e-06 0.0 1.2237625e-05 0.004844876 3.6712877e-06 0.0 1.1013863e-05 1.4685151e-05 1.95802e-05 6.4859414e-05 2.0803964e-05 2.447525e-06 0.0 4.89505e-06 4.89505e-06 2.447525e-06 0.0 1.2237625e-06 1.7132676e-05 0.009214932 5.6293076e-05 3.426535e-05 0.00012971883 2.9370301e-05 3.426535e-05 1.7132676e-05 0.0001370614 3.793664e-05 2.5699013e-05 0.00010157229 1.8356437e-05 3.793664e-05 3.6712874e-05 2.0803964e-05 9.3005954e-05 0.0022602894 9.7901e-06 8.566338e-06 3.0594063e-05 8.566338e-06 9.7901e-06 2.447525e-06 3.6712874e-05 1.8356437e-05 7.3425754e-06 3.6712874e-05 7.3425754e-06 1.8356437e-05 1.3461387e-05 7.3425754e-06 3.0594063e-05 0.006314615 8.566338e-05 7.954457e-05 0.00014318022 0.0001076911 5.9964364e-05 0.0002386337 0.00020314458 2.3251489e-05 2.0803964e-05 7.220199e-05 2.0803964e-05 4.772674e-05 4.89505e-06 1.95802e-05 7.709704e-05 0.0040739053 5.384555e-05 4.0384162e-05 0.00015052278 5.1398027e-05 5.262179e-05 8.688714e-05 0.00015908913 3.5489113e-05 4.1607927e-05 2.6922775e-05 4.89505e-05 4.1607927e-05 3.5489113e-05 4.0384162e-05 7.342575e-05 0.00031817827 0.0 0.0 3.5489113e-05 0.0 0.00012604754 0.0011380991 0.0008884516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004278274 2.0803964e-05 4.0384162e-05 0.0003524436 0.0003389822 0.0018662378 0.0067637353 0.0037373707 2.5699013e-05 6.1188125e-06 8.566338e-06 6.1188125e-06 0.0 0.0 6.975447e-05 2.9370301e-05 0.0034032837 0.00015541785 0.00030838815 0.0006571605 8.3215855e-05 7.220199e-05 0.0014048794 0.0009863526 9.545348e-05 5.6293076e-05 4.283169e-05 3.91604e-05 3.6712874e-05 4.1607927e-05 3.793664e-05 9.7901e-05 0.007506559 0.00031205945 0.00031205945 0.0011221903 0.0009631011 0.0009924715 0.0021158855 0.0013791804 0.00033041587 0.00033163963 0.00013583765 0.00016276042 0.00024964756 0.00014195645 0.00071100605 0.0007770892 0.011979411 0.0004968476 0.0011368754 0.002102424 0.00146362 0.0010536596 0.0057688165 0.0039552003 0.00029003172 0.00037691885 0.000268004 0.0003034931 0.0003365347 0.0009251645 0.0010108278 0.0011136238 0.017075159 0.0018221824 0.0022713032 0.015037594 0.0028244439 0.0022529468 0.0051263412 0.0038634182 0.001690016 0.0016435131 0.0012959645 0.00134981 0.0014868715 0.0012898457 0.0013840754 0.0022431568 0.012986568 0.0015064516 0.0014526062 0.0033286342 0.0021721786 0.0015064516 0.0021060954 0.00254665 0.0048620086 0.00089701795 0.0007293625 0.0015333744 0.0016520794 0.0011050575 0.0020791725 0.009661606 0.025926633 0.004349252 0.0046013473 0.006180001 0.0055522104 0.005076167 0.0034559055 0.0073560365 0.012946184 0.0016484081 0.0015297031 0.0021770736 0.0064553474 0.0033200677 0.0058728363 0.013828517 0.08419119 0.021198014 0.015010671 0.028823279 0.029537955 0.033086866 0.016179364 0.037843633 0.058498297 0.005307458 0.007969142 0.009590627 0.029879386 0.015342311 0.030498609 0.060752466 0.0006290139 0.00039649906 0.000340206 0.00079544564 0.00040139412 0.00033163963 0.00044300203 0.00039282776 0.00044055452 0.0004503446 0.00033163963 0.0006045387 0.0003561149 0.00042831688 0.00044912085 0.0007281387 2636.0 9.800455 25834.0 0.020941395 0.0017418906 0.0015096385 0.0016257645 0.0036386158 0.002516064 0.0013935125 0.0030966944 0.0031741117 0.0012386778 0.001083843 0.0017031819 0.0022063947 0.005380506 0.0027096076 0.0015483472 0.0105674695 0.008748162 0.007857862 0.007935279 0.010296509 0.0056127585 0.013044825 0.0056901756 0.008244948 0.015096385 0.016954402 0.009444918 0.010064256 0.007935279 0.005767593 0.011573895 0.010102965 0.009057831 0.004296663 0.007586901 0.0045289155 0.008012696 0.0071611055 0.0046063326 0.0064256405 0.00557405 0.0015483472 0.0018193079 0.00410312 0.002554773 0.0050708367 0.0030966944 0.0097932955 0.0037547417 0.0045289155 0.010799721 0.0052256715 0.003986994 0.007857862 0.005999845 0.0041418285 0.0074320664 0.003832159 0.0020128512 0.0027096076 0.0022451032 0.0021289773 0.040644113 0.0037160332 0.03452814 0.011070682 0.028218627 0.018115662 0.0579856 0.016451187 0.0101416735 0.014864133 0.035611983 0.008554618 0.0058450103 0.02519935 0.018270496 0.034992646 0.030541148 0.024154216 0.001083843 0.035844237 0.033018503 0.05539212 0.017031819 0.0070449794 0.01199969 0.007741736 0.006503058 0.0020128512 0.0008902996 0.026438028 0.0010064256 0.001083843 0.0016644732 5.911934 0.0 0.0 0.0 3.0 409600.0 413696.0 1.0 837.0 154.0 1.0 1.0 0.0 0.0 0.0 1152668200.0 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 233472.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69632.0 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 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -233472.0 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 -6.7550035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.2637844 0.0 0.0 -0.56072265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7795925 0.0 3.384106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65632.0 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 -26640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -233464.0 0.0 952.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 -2.0 0.0 3.0 -3.0 1.0 5.0 -4.0 4.0 5.0 -4.0 2.0 1.0 -1.0 0.0 0.0 0.0 1.0 4.0 3.0 3.0 5.0 -2.0 -4.0 2.0 -2.0 0.0 0.0 -3.0 0.0 -2.0 -1.0 1.0 3.0 0.0 3.0 5.0 -1.0 3.0 -2.0 -3.0 4.0 1.0 0.0 -7.0 -3.0 0.0 0.0 -2.0 -2.0 4.0 -1.0 -3.0 2.0 0.0 -3.0 0.0 2.0 3.0 -2.0 3.0 2.0 -1.0 -2.0 -6.0 -2.0 2.0 4.0 4.0 -3.0 -3.0 4.0 4.0 -2.0 5.0 -2.0 0.0 5.0 -2.0 -2.0 -6.0 -3.0 0.0 2.0 6.0 -3.0 0.0 -2.0 0.0 -1.0 4.0 4.0 -1.0 -2.0 -3.0 3.0 -3.0 -4.0 2.0 0.0 1.0 -1.0 0.0 -1.0 4.0 -3.0 -5.0 2.0 -2.0 -4.0 4.0 0.0 -2.0 2.0 3.0 6.0 -1.0 -2.0 5.0 0.0 -2.0 5.0 2.0 0.0 -2.0 17376.0 240972.0 40.0 299704.0 952.0 335872.0 0.0 0.0 0.0 0.0 11112.0 339968.0 56.0 237464.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 299160.0 0.0 0.0 620.0 237568.0 0.0 0.0 0.0 0.0


Input: 0.45223722 0.0069444445 0.0021109532 0.0014204546 0.0013612689 0.0013809975 0.0011639836 0.0010061553 0.0007299558 0.0010258838 0.004024621 0.0009864267 0.0008285985 0.004241635 0.0009666982 0.00063131313 0.0011837122 0.00029592804 0.00041429925 0.0010258838 0.00080886995 0.00031565657 0.0005918561 0.0006707702 0.0011047979 0.0005721275 0.0006115846 0.00037484217 0.0009075126 0.00063131313 0.000848327 0.0008877841 0.04056187 0.0005721275 0.0007891414 0.0007299558 0.00043402778 0.00714173 0.00053267047 0.0006115846 0.00092724117 0.0005918561 0.00031565657 0.00017755682 0.0019728534 0.002505524 0.004379735 0.0008285985 0.0014599116 0.0017163826 0.00092724117 0.00074968435 0.00074968435 0.0005721275 0.0006115846 0.0004537563 0.0014204546 0.0007694129 0.0022687817 0.0007102273 0.0008877841 0.00063131313 0.00063131313 0.0012626263 0.0009864267 0.005149148 0.001440183 0.0017755682 0.0063723167 0.0029000947 0.0018544823 0.0025647096 0.0009075126 0.0031368372 0.00021701389 0.00080886995 0.0028606376 0.001440183 0.0037286931 0.001440183 0.0032552083 0.00049321336 0.0020123105 0.004754577 0.0022687817 0.0007102273 0.0013415404 0.000848327 0.0017755682 0.00015782828 0.0016177399 3.945707e-05 0.00074968435 0.00015782828 0.00019728535 0.00021701389 0.0010258838 0.014184817 0.003274937 0.0070233587 0.013573232 0.052477904 0.0078125 0.00943024 0.009864268 0.024483113 0.00031565657 0.0038470645 0.010811238 0.007970328 0.034426294 0.011560922 0.0036497791 0.0005129419 0.025114426 0.015999842 0.024562027 0.011186079 0.00309738 0.004616477 0.0009864267 0.0010456124 0.0038076073 0.00023674243 0.00043402778 0.00017755682 0.0003945707 0.00055239897 0.0024266099 0.0009469697 0.0003945707 0.0005129419 0.0005129419 0.00031565657 0.00015782828 0.0007694129 0.0006115846 0.00053267047 0.00025647096 0.00021701389 0.0007102273 0.00023674243 0.0006510417 0.0008285985 0.0005129419 0.0004537563 0.00023674243 0.00025647096 0.00031565657 0.00019728535 0.00019728535 0.00017755682 0.0007694129 0.00025647096 0.00023674243 0.00023674243 0.0009864267 0.00043402778 0.00047348486 0.00069049874 0.0007299558 0.0005129419 0.00029592804 0.00049321336 0.00029592804 7.891414e-05 0.000118371216 0.0004537563 0.0007102273 0.00013809974 7.891414e-05 0.000118371216 0.00035511365 5.9185608e-05 0.00025647096 0.000118371216 0.00092724117 0.00021701389 0.00013809974 0.0003353851 0.00047348486 0.00019728535 3.945707e-05 5.9185608e-05 0.0009075126 0.00013809974 9.8642675e-05 3.945707e-05 0.00031565657 0.000118371216 0.00041429925 9.8642675e-05 0.0021109532 0.0006115846 0.0005129419 0.0006510417 0.0005721275 0.00031565657 0.00043402778 0.000848327 0.00031565657 0.00029592804 0.00023674243 0.00015782828 0.00041429925 0.00037484217 0.0004537563 0.00053267047 0.00049321336 0.00037484217 0.00019728535 0.00021701389 0.00021701389 0.00017755682 0.00015782828 0.00019728535 0.0006115846 0.00015782828 0.00019728535 0.000118371216 0.0009666982 9.8642675e-05 0.0003353851 0.00029592804 0.0017361111 0.0003945707 0.00043402778 0.0009075126 0.0015980114 0.00021701389 0.00027619948 0.0006510417 0.0003945707 0.00021701389 0.00025647096 0.00023674243 0.00047348486 0.00015782828 0.0003945707 0.00031565657 0.0009864267 0.0005129419 0.00035511365 0.0005129419 0.00031565657 0.00025647096 0.0004537563 0.00031565657 0.0007891414 0.00049321336 0.00023674243 0.00037484217 0.0032354798 0.00025647096 0.0006115846 0.0043008206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.4112142 0.00048828125 0.05271403 0.005391439 0.02078247 0.011962891 0.19812012 0.08578491 4.0690105e-05 0.00020345052 7.120768e-05 0.00011189779 0.00018310547 0.00048828125 0.0013224283 0.0027872722 0.022328695 0.00011189779 0.0029703777 0.0009053548 0.0024108887 0.0013020834 0.007832845 0.0035909016 0.0 0.0 0.0 0.0 3.0517578e-05 0.0 6.1035156e-05 0.00012207031 0.011159261 0.00034586588 0.001373291 0.0005289714 0.0005289714 0.00032552084 0.0037027996 0.0015157064 0.00030517578 0.00036621094 0.00013224284 0.00013224284 0.00010172526 9.1552734e-05 9.1552734e-05 0.00013224284 0.012166341 0.00084431964 0.0008239746 0.0004374186 0.0007832845 0.00056966144 0.00056966144 0.0006306966 0.0009765625 0.00039672852 0.00035603842 0.00034586588 0.00069173175 0.00032552084 0.000386556 0.0005289714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0072021484 0.0012613932 0.0010884603 0.0010274252 0.0009358724 0.0006612142 0.001759847 0.0010375977 0.001159668 0.00091552734 0.0005187988 0.00045776367 0.00081380206 0.0004984538 0.00053914386 0.00095621747 0.005472819 0.0015157064 0.0009765625 0.0010274252 0.0012715658 0.000773112 0.0005289714 0.0009460449 0.0016886393 0.00072224933 0.0006510417 0.00045776367 0.0014343262 0.0006205241 0.0011494955 0.0015970865 0.0118306475 0.0068359375 0.0042826333 0.006398519 0.004465739 0.0029907227 0.0035298665 0.0047200522 0.006072998 0.003967285 0.0031433105 0.0029093425 0.005706787 0.0028889973 0.005340576 0.008249919 20.0 30.25 605.0 0.018181818 0.0016528926 0.0 0.0049586776 0.0049586776 0.0 0.0 0.0066115703 0.0 0.0 0.0016528926 0.0 0.0033057851 0.0 0.0132231405 0.0 0.0049586776 0.0016528926 0.0016528926 0.0 0.0 0.0 0.0 0.0 0.0016528926 0.0 0.0 0.0049586776 0.0 0.0 0.0016528926 0.0 0.0033057851 0.09586777 0.0016528926 0.0016528926 0.19173554 0.0 0.0033057851 0.09421488 0.0 0.09256198 0.0 0.0 0.0033057851 0.0 0.09256198 0.0033057851 0.09917355 0.0016528926 0.0016528926 0.0049586776 0.0016528926 0.0 0.0 0.0 0.097520664 0.0 0.0016528926 0.0016528926 0.0016528926 0.0 0.0 0.0 0.0033057851 0.016528925 0.0033057851 0.011570248 0.008264462 0.0033057851 0.0 0.0033057851 0.0033057851 0.0033057851 0.0016528926 0.0 0.0 0.0033057851 0.0066115703 0.0049586776 0.0049586776 0.0 0.021487603 0.008264462 0.008264462 0.0016528926 0.0 0.0 0.0033057851 0.0016528926 0.0049586776 0.0 0.0033057851 0.0016528926 0.0016528926 0.0 4.1175275 0.0 0.0 0.0 1.0 50688.0 61440.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 0.0 0.0 512.0 4096.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 49664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.127095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.393234 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 49212.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.16619319 0.004416726 0.0032256155 0.0026041667 0.0040764087 0.003025864 0.004542495 0.0026781487 0.0030110676 0.0029962712 0.0031368372 0.0037730823 0.003284801 0.0027447324 0.0028261128 0.003684304 0.0042539653 0.004941998 0.0033661814 0.0028852983 0.0028187146 0.0031220408 0.0025301846 0.0024118135 0.0029000947 0.0032626064 0.0027373342 0.0033069958 0.0026189631 0.0023822207 0.0028557056 0.0031960227 0.004024621 0.0029000947 0.002766927 0.0027225378 0.008515329 0.0029962712 0.003721295 0.0025153882 0.0032626064 0.0031146426 0.0033365886 0.0037286931 0.0028409092 0.002397017 0.002352628 0.002988873 0.0039876304 0.0031738281 0.0040616123 0.0038248699 0.003647313 0.0033291904 0.0028557056 0.0031590317 0.0029962712 0.0033069958 0.0034327651 0.0031516335 0.004305753 0.003928445 0.002988873 0.0041060015 0.010017164 0.0042539653 0.004986387 0.0033291904 0.0058519766 0.0046238755 0.0034401633 0.0028631038 0.0032921992 0.003092448 0.003935843 0.0031812263 0.004490708 0.0032700046 0.002249053 0.003203421 0.0031738281 0.0031146426 0.003647313 0.0033365886 0.0035659329 0.0032330137 0.0030110676 0.0026041667 0.0030332622 0.0026041667 0.0034919507 0.0045572915 0.0037508877 0.004757043 0.003025864 0.0030480586 0.0028631038 0.00316643 0.002692945 0.0025819722 0.003928445 0.0032700046 0.0034549597 0.002212062 0.0030406604 0.00324781 0.0032404119 0.0029740767 0.0037360913 0.0030110676 0.003129439 0.0033217922 0.0034105706 0.0031220408 0.0033217922 0.0040098247 0.0035511365 0.003388376 0.002833511 0.0023230352 0.0031886245 0.0029666785 0.0023008403 0.0031072444 0.0034327651 0.0029296875 0.0031886245 0.0026855469 0.0034993489 0.0043205493 0.0027521306 0.003950639 0.0034549597 0.00472745 0.0028483074 0.0025005918 0.0031516335 0.0071244673 0.0038914536 0.0066065933 0.0027225378 0.002870502 0.0027003433 0.0032700046 0.003950639 0.0038766572 0.0038026753 0.003610322 0.0032182173 0.0028631038 0.0028557056 0.0032552083 0.0027151396 0.002951882 0.004986387 0.0026855469 0.0030184658 0.0029962712 0.0026337595 0.0023378315 0.0024266099 0.0026855469 0.0029296875 0.0025227864 0.0026263613 0.0025005918 0.002692945 0.0025375828 0.0025893704 0.0039876304 0.0042169746 0.0032995977 0.002803918 0.0023230352 0.0026337595 0.0024192117 0.0031146426 0.0028409092 0.0025153882 0.002655954 0.003055457 0.0026411577 0.0026189631 0.002648556 0.0032330137 0.0030480586 0.0034993489 0.0032921992 0.0032626064 0.0045055044 0.0023304333 0.003055457 0.004461115 0.004209576 0.0028852983 0.0030332622 0.0036029238 0.0030036694 0.0041133994 0.0044759116 0.0030110676 0.0031738281 0.0031442354 0.002766927 0.002914891 0.002692945 0.0024857954 0.002803918 0.0034475615 0.0024118135 0.0027003433 0.0025597773 0.0025227864 0.002611565 0.0031146426 0.0028187146 0.0028261128 0.0023452297 0.0031442354 0.0027965198 0.0027225378 0.0042687617 0.002611565 0.0028261128 0.0037286931 0.002611565 0.0031146426 0.0025375828 0.0029222893 0.003203421 0.0032256155 0.002914891 0.0043279473 0.002833511 0.0027595288 0.00316643 0.0031886245 0.002803918 0.0024636008 0.0025153882 0.00324781 0.0029000947 0.0029370857 0.0027965198 0.0032921992 0.0041355942 0.00250799 0.0034919507 0.0028187146 0.0028187146 0.002766927 0.003210819 0.0034401633 0.0025375828 0.0030702534 0.005622633 0.053435113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014052063 7.4546755e-05 0.00011182013 4.1000716e-05 0.00017145753 5.2182728e-05 0.00045100786 0.00018263955 1.1182014e-05 1.4909351e-05 1.1182014e-05 2.6091364e-05 3.354604e-05 1.1182014e-05 1.1182014e-05 1.1182014e-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 0.012658039 0.00011182013 0.00014163884 0.00084237836 0.000275823 0.00013418416 0.00045100786 0.00020127624 4.4728054e-05 5.5910066e-05 5.2182728e-05 4.4728054e-05 5.5910066e-05 7.827409e-05 4.1000716e-05 7.827409e-05 0.0117858425 0.00011927481 0.00021991292 0.00011927481 0.0011070194 0.000115547475 0.0009206524 0.0003839158 6.336474e-05 0.000104365456 1.8636689e-05 6.336474e-05 0.000104365456 3.7273378e-05 6.336474e-05 4.1000716e-05 0.005486641 2.9818702e-05 0.00014909351 0.00040255248 0.00026464098 0.00015654818 0.00058519206 0.00030936903 5.9637405e-05 3.354604e-05 3.7273378e-05 2.2364027e-05 1.8636689e-05 4.1000716e-05 3.7273378e-06 3.354604e-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 0.0050058146 0.00011182013 0.0004621899 7.081942e-05 0.00039137047 0.00015654818 7.827409e-05 0.00010063812 0.00041746182 5.2182728e-05 3.354604e-05 4.1000716e-05 0.0002571863 6.709208e-05 0.000115547475 0.00027209567 0.022099385 0.00081628695 0.0012710221 0.0029408694 0.0013865697 0.0010101085 0.0021469465 0.0012300215 0.0011219287 0.00054419134 0.00046964455 0.00056655536 0.00070819416 0.0005031906 0.0006448294 0.00070819416 0.0058332835 0.00033918774 0.0003764611 0.0027880487 0.0026911378 0.00027209567 0.00032800573 0.0002571863 0.00024227696 0.00041746182 0.00019382157 0.0002944597 0.0004137345 0.00022736761 0.00033173306 0.00026091366 0.01430925 0.0009877445 0.0009728352 0.0009355618 0.003805612 0.00080137764 0.0007939229 0.0009020157 0.00083492365 0.0010548366 0.00070819416 0.0009243798 0.00096165313 0.0007976503 0.0009057431 0.00083865103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009452528 0.0012113848 0.0017630308 0.0010399272 0.003913705 0.0013381143 0.00089083373 0.0010772006 0.001986671 0.0010958373 0.00085728767 0.0009728352 0.0015058444 0.0009877445 0.0010250179 0.0014163883 0.01125656 0.0023407682 0.006765118 0.0024563156 0.0072123986 0.003980797 0.0019270336 0.0024861344 0.011223014 0.0016437559 0.0011107466 0.0015580272 0.0040106154 0.0019307609 0.0035894264 0.0052108183 0.04551825 0.04375149 0.042290375 0.045018785 0.045246154 0.0463159 0.041533723 0.04295384 0.044836145 0.047121003 0.042040642 0.044150315 0.045078423 0.04138463 0.041943733 0.04310666 489.0 6.99591 3421.0 0.018123357 0.006138556 0.008477054 0.009646302 0.016369483 0.0067231804 0.008184741 0.004384683 0.013446361 0.007600117 0.0067231804 0.0070154928 0.010523239 0.007600117 0.00935399 0.007600117 0.018415667 0.009938614 0.014323297 0.015492546 0.016369483 0.013446361 0.0131540485 0.01607717 0.015784858 0.014907922 0.012861736 0.0067231804 0.011692488 0.010523239 0.013738673 0.0140309855 0.015200234 0.012569424 0.006430868 0.00935399 0.016661795 0.007892429 0.0067231804 0.011400175 0.011400175 0.005846244 0.007600117 0.008184741 0.014615609 0.007892429 0.008184741 0.0073078047 0.011107863 0.009061678 0.0070154928 0.0131540485 0.0119848 0.004384683 0.006138556 0.0070154928 0.012861736 0.0067231804 0.0131540485 0.008769366 0.012569424 0.0073078047 0.010815551 0.007600117 0.009938614 0.011400175 0.008769366 0.009061678 0.015784858 0.01724642 0.016661795 0.0073078047 0.012277112 0.0119848 0.009061678 0.008184741 0.014615609 0.010230927 0.009938614 0.0140309855 0.0119848 0.008184741 0.012277112 0.012569424 0.012569424 0.007892429 0.005846244 0.005846244 0.0140309855 0.007600117 0.006430868 0.008184741 0.009646302 0.005846244 0.0055539315 0.0067231804 6.5039587 0.0 0.0 0.0 4.0 135168.0 143360.0 1.0 0.0 10.0 1.0 1.0 0.0 0.0 0.0 816304060.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 5.0 0.0 12288.0 4096.0 4096.0 8.0 0.0 0.0 1.0 4.0 0.0 4096.0 0.0 0.0 0.0 -4096.0 0.0 0.0 57344.0 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 12288.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 -20480.0 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 3.1285317 0.0 0.0 0.0 -5.852975 0.0 0.0 7.9494753 0.0 0.0 0.0 0.0 4.5279427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.505613 0.0 0.0 0.0 0.0 -7.983375 0.0 0.0 0.0 0.0 -7.473619 0.0 0.0 -7.495598 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1424.0 0.0 0.0 0.0 -1396.0 0.0 0.0 56590.0 0.0 0.0 0.0 0.0 1814.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10050.0 0.0 0.0 0.0 0.0 -24072.0 0.0 0.0 0.0 0.0 -27748.0 0.0 0.0 -2019.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4180.0 17800.0 1424.0 135168.0 0.0 0.0 0.0 0.0 1396.0 139264.0 56.0 16512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.22984023 0.0455166 0.041664414 0.01596967 0.026877433 0.0050619054 0.017652465 0.0058188257 0.006420307 0.003291252 0.02161954 0.0029938905 0.003318285 0.0024126838 0.003913008 0.0017165873 0.004007623 0.0063729994 0.01183364 0.0040684473 0.004007623 0.0053525087 0.003913008 0.006102671 0.002791144 0.001703071 0.0017774113 0.0023586182 0.0027979023 0.0019396086 0.0029668577 0.002669496 0.011191609 0.0024667496 0.0024397166 0.0014192258 0.0014327422 0.004372567 0.0026762544 0.0010204909 0.011394355 0.0011624135 0.00944123 0.003439933 0.004142788 0.0026627379 0.0051294873 0.0013110943 0.00428471 0.002696529 0.0023788926 0.0019463667 0.002507299 0.0014462586 0.0017774113 0.0010137327 0.0026221885 0.0021558716 0.0011894463 0.001270545 0.0021829044 0.0009056012 0.0027438365 0.0009393923 0.0011083478 0.0026492216 0.002142355 0.0036697125 0.0023653763 0.002480266 0.0045955884 0.0015679066 0.0012773032 0.0034129 0.0014395005 0.00097318337 0.0031358132 0.0021153223 0.0013043361 0.0018382353 0.0026492216 0.0017436203 0.0019193339 0.0040414142 0.0031358132 0.0018044442 0.0021693879 0.0013313689 0.0016827963 0.0018179606 0.0008920848 0.0011286224 0.0012908196 0.0016287306 0.0008515355 0.0076029953 0.0014530169 0.014030061 0.0039265244 0.0066433284 0.007062338 0.02537035 0.0023518598 0.004379325 0.0033993837 0.011401114 0.0010475238 0.002074773 0.009535845 0.00527141 0.013935446 0.023390193 0.0056904196 0.0009866998 0.013435338 0.013854347 0.020038117 0.0051632784 0.0022437284 0.002074773 0.0018787846 0.0035075152 0.00091911765 0.0136516 0.0013448853 0.0060553635 0.0018990593 0.0005676903 0.0051024547 0.0054133325 0.0015408737 0.0012637868 0.0011083478 0.000898843 0.002696529 0.0007231293 0.0014395005 0.0011894463 0.0006690636 0.0010069745 0.0010677985 0.0012502703 0.00068933825 0.00048659169 0.0005203828 0.0017233456 0.00039197665 0.000838019 0.0009529087 0.00058796495 0.0014057093 0.00058120675 0.00054065743 0.0012570285 0.0006082396 0.0011691718 0.0005609321 0.00043928417 0.0005203828 0.00031087804 0.000898843 0.0012975779 0.00076367863 0.00040549308 0.00079746975 0.001054282 0.00031763624 0.00081098615 0.00080422795 0.0005136246 0.00042576774 0.0004190095 0.0006285143 0.00088532653 0.00034466913 0.0006285143 0.00081098615 0.00054065743 0.0006623054 0.0006690636 0.00064878893 0.0005203828 0.000527141 0.00048659169 0.00047983348 0.0010475238 0.0023924091 0.00059472315 0.0006690636 0.0006285143 0.0005068664 0.00028384515 0.00084477727 0.00080422795 0.00057444855 0.0006149978 0.0009393923 0.00057444855 0.0011353806 0.00043252597 0.00042576774 0.000743404 0.00029060338 0.0009461505 0.00070285465 0.0003649438 0.00031763624 0.00027708695 0.00096642517 0.0007771951 0.00024329584 0.0003649438 0.00054741564 0.0007096129 0.00038521842 0.00039873488 0.00035142733 0.00037846022 0.00047307526 0.00047983348 0.00076367863 0.00038521842 0.00087856833 0.000371702 0.000838019 0.002013949 0.00031763624 0.00043252597 0.0007096129 0.00028384515 0.00092587585 0.00028384515 0.00053389923 0.0008245026 0.0005609321 0.0006623054 0.0005203828 0.000527141 0.00059472315 0.0022437284 0.00046631705 0.0010407655 0.00029736158 0.00064878893 0.00079746975 0.0011218642 0.0004460424 0.00043928417 0.00068933825 0.00054741564 0.00027708695 0.0004528006 0.000743404 0.00065554713 0.0015003243 0.0008582937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0047223284 4.4389206e-05 0.00016048405 0.000116094845 0.00021170235 0.00021853147 0.0010448536 0.0003960883 1.02436625e-05 3.4145542e-06 1.02436625e-05 1.707277e-05 1.3658217e-05 6.8291083e-06 3.4145542e-06 1.3658217e-05 0.024144312 0.00044047748 0.0062486343 0.00073412916 0.011971427 0.010059277 0.08010544 0.040885873 7.5120195e-05 1.707277e-05 3.414554e-05 1.707277e-05 1.707277e-05 3.414554e-05 1.3658217e-05 2.7316433e-05 0.06981739 0.0062691215 0.011124617 0.0034452851 0.0040394175 0.003715035 0.019572224 0.014839653 0.001287287 0.0016287423 0.0010072935 0.00053949957 0.00043706293 0.00039950284 0.00049511035 0.0012428977 0.19144039 0.029443702 0.029942226 0.013566024 0.0081881005 0.009308075 0.022737516 0.02787642 0.00961197 0.0032301683 0.0031243172 0.0027145706 0.0025950612 0.0032950449 0.0029774914 0.003585282 0.05281974 0.012056791 0.0060301027 0.004473066 0.002772618 0.0042477055 0.0049272017 0.0041725854 0.00716032 0.002045318 0.0019121503 0.0017960555 0.0016424005 0.0015297203 0.0023731152 0.0019292231 0.05693428 0.007860304 0.0075871395 0.005292559 0.0049306164 0.0042852657 0.004626721 0.003308703 0.005490603 0.0031277316 0.0022433621 0.0034657726 0.002933102 0.0017482517 0.0027760325 0.0022706785 0.015256228 0.0053506065 0.0025028682 0.0024175043 0.0015092329 0.002168242 0.0016492297 0.0011780212 0.0014682583 0.0013692363 0.001263385 0.0009765625 0.00094583153 0.000659009 0.002137511 0.0011063155 0.015191352 0.0037252787 0.0024618935 0.0022092166 0.002574574 0.0019360522 0.0013521635 0.0012804578 0.0016799606 0.0011097301 0.0014955747 0.0020419033 0.0015024039 0.00088095496 0.0016150841 0.0009014423 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1646.0 17.936817 29524.0 0.024251457 0.000270966 0.00010161225 0.000135483 0.000135483 6.77415e-05 0.000135483 0.0003387075 6.77415e-05 6.77415e-05 0.000135483 0.000406449 0.0011516055 0.000270966 0.013243463 0.00094838097 0.0037935239 0.0045386804 0.0045048096 0.0022354694 0.0018967619 0.0026080478 0.0012532177 0.0013209592 0.0011516055 0.0020661156 0.0002032245 3.387075e-05 0.005927381 0.00064354425 0.0059951227 0.00010161225 6.77415e-05 0.0066725374 0.0045048096 0.012193469 0.0063677006 0.007993497 0.0061644763 0.0029467552 0.002032245 0.012667661 0.0022693402 0.00050806126 0.0050806124 0.003387075 0.001761279 0.005148354 0.007417694 0.00044031974 0.0055548027 0.013514429 0.008264462 0.0028790138 0.0038273947 0.0032177211 0.000406449 0.00016935375 0.0003387075 6.77415e-05 0.00047419048 6.77415e-05 0.0 0.031533666 0.0011516055 0.054836743 0.012261211 0.025944995 0.026046606 0.114618614 0.007925755 0.018662782 0.011346701 0.045793254 0.002303211 0.0066047963 0.040001355 0.020525673 0.05879962 0.058427043 0.018324075 0.000677415 0.05507384 0.047249693 0.08342365 0.01808698 0.006706408 0.0073838234 0.0061644763 0.012159599 0.0011854762 3.387075e-05 0.0 0.000270966 3.387075e-05 3.387075e-05 5.082763 1.0 0.0 0.0 1.0 147968.0 172032.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541024400.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 48.0 0.0 4.0 0.0 4.0 0.0 145920.0 512.0 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 -145920.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.075107 0.0 3.1484833 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 -145656.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 153552.0 936.0 155648.0 0.0 0.0 0.0 0.0 12.0 163840.0 28.0 153240.0 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: 0.09465792 0.0048760897 0.0051452676 0.0095447805 0.005012885 0.004099446 0.0025638083 0.003119815 0.0030050834 0.002660889 0.0019107212 0.0022637413 0.0024932043 0.0019416105 0.0022284393 0.0022416776 0.0027712076 0.0029565431 0.0022460902 0.0021534225 0.0023475836 0.0032168955 0.002590285 0.0022681542 0.0022019628 0.0022328522 0.0018842447 0.0019460232 0.0019945635 0.0024137748 0.0020519292 0.0020078018 0.0023652345 0.0022593285 0.002144597 0.0019813252 0.0024049494 0.0025240937 0.0023166942 0.0021181204 0.0021622481 0.0024932043 0.0020254527 0.0020475164 0.002285805 0.0021666607 0.002144597 0.0020342784 0.0024226003 0.0026079358 0.0024049494 0.0023519963 0.0022813922 0.002254916 0.0023872983 0.0028462245 0.0021357716 0.002431426 0.0022460902 0.0022681542 0.002444664 0.0020475164 0.0022284393 0.002409362 0.0032566104 0.0029697814 0.0021710736 0.0028462245 0.0031683552 0.0031462915 0.0030889257 0.003278674 0.0023519963 0.0028506373 0.0022460902 0.001985738 0.0024358386 0.0026829527 0.0024005366 0.0021666607 0.002837399 0.002960956 0.0024226003 0.002285805 0.0026299995 0.002696191 0.0026829527 0.002356409 0.0021754862 0.0025726338 0.0021490098 0.0022107882 0.0022725668 0.0025417446 0.0026388252 0.0026035232 0.0021534225 0.0031330532 0.0023652345 0.002625587 0.0027050164 0.0030933386 0.0023299325 0.0025770466 0.0025373318 0.002925654 0.0025373318 0.0022769796 0.0027800333 0.002660889 0.0025726338 0.0026035232 0.0025991104 0.0027359056 0.0031860063 0.002890352 0.003477248 0.0026079358 0.0023475836 0.0030094963 0.0024711406 0.0024226003 0.0022196139 0.0020784058 0.0021401842 0.0022372648 0.0022372648 0.0021534225 0.0027403184 0.0024534897 0.0021490098 0.0027359056 0.0028153353 0.0029168285 0.0025285063 0.003278674 0.0024976172 0.0031815935 0.002479966 0.0041612242 0.0024005366 0.0027623822 0.0022460902 0.0021401842 0.17870317 0.0024755534 0.0021137078 0.0021843119 0.0026299995 0.0022637413 0.0027844459 0.0020828184 0.002321107 0.0025682212 0.0027491439 0.0022813922 0.0026344124 0.008560737 0.01926607 0.0031507043 0.0023872983 0.0027050164 0.0029653688 0.0022946305 0.0021843119 0.002109295 0.0023122816 0.0023696474 0.0021578353 0.0036096303 0.0031242277 0.0031683552 0.0043730363 0.01886451 0.004130335 0.003137466 0.0033448653 0.003437533 0.0021710736 0.0023828857 0.0021534225 0.0020651675 0.0024534897 0.0033228016 0.0024843789 0.0024181877 0.0022593285 0.0022637413 0.0019416105 0.002091644 0.002250503 0.0021578353 0.002996258 0.0028506373 0.0021975501 0.0022637413 0.0027006036 0.0023696474 0.0027579693 0.003212483 0.0022460902 0.0029168285 0.00202104 0.0020960567 0.003543439 0.0024490769 0.0022637413 0.0021313587 0.0024270131 0.002621174 0.0021622481 0.002073993 0.0026520635 0.002073993 0.0025682212 0.002250503 0.0027403184 0.0023519963 0.0022416776 0.0022681542 0.0022063756 0.0021931373 0.0021622481 0.0022372648 0.0022593285 0.0023872983 0.0022946305 0.0021048824 0.0021622481 0.0021534225 0.002303456 0.0037155363 0.004024429 0.011252515 0.002925654 0.0025020298 0.0028771136 0.0029124157 0.0028109225 0.0023122816 0.00255057 0.0027094292 0.0026432378 0.0025638083 0.0025373318 0.0025240937 0.0026917781 0.0031948318 0.0030536237 0.0025417446 0.004342147 0.0051673315 0.0031109895 0.002519681 0.0049025663 0.016287465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17272727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0041592685 2.2194603e-05 2.2194603e-05 7.768111e-05 7.324219e-05 2.6633523e-05 9.099787e-05 2.6633523e-05 1.9975141e-05 4.4389203e-06 2.2194602e-06 4.4389203e-06 6.6583807e-06 0.0 4.4389203e-06 4.4389203e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003457919 1.5536221e-05 2.2194603e-05 0.00013760653 1.3316761e-05 1.5536221e-05 6.6583807e-06 1.9975141e-05 1.9975141e-05 0.0004394531 0.00030850497 2.2194603e-05 1.5536221e-05 1.7755681e-05 1.5536221e-05 1.7755681e-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 0.0059481533 4.6608664e-05 9.987571e-05 0.0003351385 0.0005570845 0.000419478 0.0015269887 0.0009898792 5.7705965e-05 0.0028830788 0.0003351385 5.3267046e-05 0.00023304332 5.3267046e-05 5.7705965e-05 3.9950282e-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 0.0042990944 0.00015536221 0.00011319247 0.00023748225 0.0009765625 0.0005415483 0.0014359908 0.00094549 0.00061700994 0.0023925782 0.00016424006 8.6558946e-05 0.0007879084 9.543679e-05 0.00026411578 0.00052379264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009319513 0.00061035156 0.0004860618 0.00062588777 0.0015469638 0.0007013494 0.0009321733 0.0009721236 0.0012806285 0.002869762 0.0026988636 0.0008988814 0.0014404297 0.00043723366 0.0012051669 0.0012473366 0.015316495 0.0021639736 0.0011163885 0.0013960404 0.0020197087 0.0015292082 0.0018110796 0.0017777877 0.0023837003 0.006278853 0.005990323 0.0020419033 0.0018754438 0.0013361151 0.0035378195 0.003970614 0.031283293 0.006010298 0.00481179 0.0055087004 0.006789329 0.0063520954 0.0058993255 0.006114613 0.0064985794 0.017251864 0.016617099 0.0075550424 0.0064586294 0.005977006 0.011898526 0.018610174 0.07113148 0.028351385 0.028884055 0.029474432 0.031107955 0.030568626 0.03014027 0.030031517 0.03276145 0.03520064 0.0360063 0.028635476 0.030324485 0.029447798 0.034228515 0.039160155 575.0 7.495652 4310.0 0.005336427 0.0060324827 0.0060324827 0.00649652 0.0076566124 0.0048723896 0.007424594 0.0048723896 0.0081206495 0.005336427 0.0060324827 0.007424594 0.00649652 0.00649652 0.008352668 0.005800464 0.00649652 0.008584687 0.009976798 0.010440836 0.0076566124 0.009976798 0.0060324827 0.007424594 0.008816705 0.0067285383 0.0067285383 0.007888631 0.0055684457 0.0055684457 0.00649652 0.0081206495 0.007888631 0.012064965 0.007424594 0.012761021 0.008352668 0.010672854 0.010904873 0.012296984 0.009048724 0.010672854 0.006960557 0.0062645013 0.010208816 0.007424594 0.007424594 0.007888631 0.009280742 0.009976798 0.0125290025 0.0125290025 0.009048724 0.005800464 0.009744779 0.014385151 0.0062645013 0.008352668 0.005104408 0.008584687 0.009976798 0.0071925754 0.0071925754 0.013689095 0.009744779 0.024593968 0.008816705 0.018097447 0.018097447 0.053596288 0.009048724 0.014385151 0.0125290025 0.021577727 0.008352668 0.008584687 0.023433875 0.013689095 0.021345709 0.02111369 0.013921114 0.0071925754 0.02598608 0.01763341 0.034338746 0.010672854 0.0062645013 0.009048724 0.011600928 0.012296984 0.008352668 0.007424594 0.0044083525 0.007888631 0.00649652 0.0062645013 6.371178 0.0 0.0 0.0 1.0 226616.0 372736.0 0.0 0.0 87.0 0.0 1.0 0.0 0.0 0.0 1365568000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 43520.0 1024.0 4096.0 8.0 0.0 0.0 1.0 2.0 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 178176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43520.0 0.0 1024.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.5279274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2412698 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.704966 0.0 2.1237745 0.0 0.0 0.0 0.0 -3.6532447 0.0 0.0 0.0 0.0 0.0 0.0 100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 177894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43319.0 0.0 123448.0 0.0 0.0 0.0 0.0 -806.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 224904.0 568.0 245760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 376.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.0568794 0.008321001 0.0061822953 0.005662687 0.0057645305 0.004964334 0.0042005107 0.0054247067 0.005050589 0.0056356676 0.003745334 0.0044696676 0.0049518635 0.0031696083 0.0043241773 0.0046432163 0.0050474713 0.0037681966 0.004934197 0.0041579027 0.004355354 0.0031706477 0.0041049025 0.0038388635 0.005077609 0.0033452357 0.0031602555 0.0029285103 0.004155824 0.0034387652 0.0037837848 0.0037900202 0.0061781383 0.0038180791 0.0034876084 0.0030199613 0.0049030203 0.004164138 0.0038430202 0.0037203927 0.0047305105 0.003890824 0.003331726 0.003094785 0.004367824 0.0037245497 0.0037235103 0.0035759418 0.0055203144 0.0039459025 0.0031051768 0.00290253 0.0036798634 0.003071922 0.0026832554 0.0028609612 0.004170373 0.0033140592 0.0035208634 0.0033514712 0.004009295 0.0032184515 0.0035021575 0.0034543534 0.006611491 0.0039500594 0.003619589 0.0032184515 0.004154785 0.0032215691 0.003543726 0.003062569 0.005002785 0.0037785887 0.003706883 0.003582177 0.004126726 0.003124922 0.0035603535 0.003462667 0.005171138 0.003620628 0.0036476476 0.0033327653 0.003933432 0.0033774516 0.0033670594 0.0035343731 0.00465153 0.0036424515 0.0038066476 0.0035063142 0.0041090595 0.0033826476 0.0036860986 0.0037858633 0.0059131384 0.0036279026 0.0033400396 0.0029524122 0.0040134517 0.0030469808 0.0032610593 0.0030303535 0.004987197 0.0031612946 0.0031955887 0.0030500984 0.0035749024 0.0028339417 0.0030833534 0.0031976672 0.00450604 0.003288079 0.0032226082 0.0031405103 0.0038877064 0.0033254907 0.0032901573 0.003625824 0.004631785 0.0032911967 0.0034803338 0.0031623337 0.0040383926 0.003191432 0.003466824 0.003346275 0.008660825 0.0046016476 0.0040124124 0.0035229418 0.004366785 0.003437726 0.0030210004 0.0033868044 0.0045413733 0.0038347065 0.0029565692 0.003187275 0.0037276673 0.0027975691 0.0028443339 0.0029804711 0.0052355696 0.0032049417 0.0035011182 0.0030178828 0.003659079 0.0031789613 0.0033036673 0.0032652162 0.0045434516 0.0028349808 0.0030355495 0.0027019612 0.0035177458 0.0032267652 0.0029794318 0.0031467455 0.0050183735 0.0034055104 0.0032683339 0.0027934122 0.0037733926 0.0030095691 0.0030532163 0.0031810398 0.0041350396 0.0030022946 0.003120765 0.0030116476 0.0036466084 0.0028308239 0.0029150005 0.0030303535 0.004669197 0.0031082947 0.0038399026 0.0028578436 0.0035655496 0.0031498633 0.0029846278 0.0031186868 0.0042535104 0.0031425888 0.003342118 0.0031789613 0.003648687 0.003183118 0.0033306868 0.0033473142 0.006725805 0.004063334 0.003721432 0.003335883 0.0041184123 0.003249628 0.0033005495 0.0032215691 0.0043324907 0.0033286083 0.003119726 0.0030781573 0.0036424515 0.0029815102 0.0030729612 0.0027902946 0.004246236 0.0032724908 0.0030927064 0.0029960594 0.0037089614 0.0030220398 0.0029347455 0.0029440986 0.003977079 0.003110373 0.0027185886 0.0026344121 0.0035343731 0.00294202 0.003576981 0.0028807062 0.0049560205 0.0032330004 0.0033971965 0.0029721574 0.0038056085 0.0030677652 0.0031976672 0.0029046084 0.0044468045 0.005454844 0.0034699417 0.0031321966 0.003788981 0.0030791967 0.003245471 0.003187275 0.0046151574 0.0033182162 0.0034148633 0.0030407456 0.0037380594 0.003086471 0.003311981 0.0032475495 0.004352236 0.003028275 0.003186236 0.0028599221 0.004011373 0.0030895888 0.004226491 0.004530981 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0045970273 0.00029515507 0.0002738123 0.0002654834 0.00031077175 0.00023997617 0.00033107342 0.00031389509 0.00032795008 0.00035397787 0.00032795008 0.00035397787 0.000523679 0.00015200226 0.00018740006 0.00074075075 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.0993517 0.062012758 0.062457833 0.055310607 0.060595285 0.05954845 0.05492071 0.05445325 0.060462024 0.053118546 0.052085243 0.05290928 0.056391798 0.05049859 0.056629173 0.053817652 4012.0 5.704138 22885.0 0.017129123 0.010487218 0.009438497 0.008608258 0.013414901 0.012409875 0.011841818 0.011448547 0.012540965 0.009744374 0.008477168 0.008608258 0.013895565 0.010530915 0.011754424 0.009962858 0.016735854 0.0118855145 0.008783045 0.007559537 0.0098317675 0.008477168 0.007821717 0.008389775 0.010268735 0.008433471 0.009613284 0.00887044 0.011535941 0.008957833 0.009656981 0.009176317 0.018090453 0.01088049 0.010356128 0.0090452265 0.01088049 0.008826742 0.010662005 0.008346078 0.0142451385 0.011623334 0.009744374 0.008957833 0.011448547 0.009351104 0.011667031 0.009569587 0.014813197 0.009613284 0.009962858 0.00900153 0.012103998 0.009438497 0.009613284 0.0098317675 0.013677081 0.00926371 0.010530915 0.00952589 0.01114267 0.0098317675 0.010399825 0.010749399 0.017959362 0.011055277 0.009700677 0.008171291 0.013109024 0.008258685 0.0093948 0.008389775 0.015468648 0.009307407 0.008914136 0.008695652 0.011361154 0.007996504 0.009962858 0.007909111 0.013196417 0.007996504 0.008695652 0.008826742 0.0114048505 0.0093948 0.008258685 0.007909111 0.010924187 0.008826742 0.011929211 0.008433471 0.011361154 0.008957833 0.009962858 0.008783045 6.554613 0.0 0.0 0.0 14.0 962264.0 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