Input: 0.05687172 0.008315721 0.006177304 0.005661922 0.0057627126 0.0049657417 0.004200982 0.005426052 0.0050499067 0.0056369845 0.0037521014 0.0044690636 0.004955351 0.003168141 0.004323593 0.0046436284 0.005041594 0.003770805 0.0049366476 0.004157341 0.0043589217 0.0031743755 0.004106426 0.0038425012 0.0050727664 0.003343745 0.0031598285 0.0029249974 0.0041521457 0.0034383007 0.003786391 0.0037915865 0.0061783427 0.0038227586 0.0034871374 0.0030185143 0.0048982017 0.0041625365 0.003841462 0.003717812 0.0047277934 0.0038902985 0.003332315 0.0030943668 0.0043734685 0.0037261245 0.0037240465 0.0035744195 0.00551853 0.0039453697 0.0031026793 0.0029000596 0.00367521 0.0030746243 0.0026880882 0.0028616139 0.004173966 0.0033146509 0.003524544 0.0033479012 0.0040045967 0.0032159386 0.0035006453 0.0034528477 0.00660852 0.0039495258 0.0036191 0.0032200948 0.0041563017 0.003221134 0.003538052 0.0030631945 0.004998992 0.0037791175 0.0037074212 0.0035816932 0.0041272077 0.0031234608 0.0035629899 0.0034621996 0.0051683616 0.0036242954 0.003647155 0.003331276 0.0039329007 0.0033759563 0.003361409 0.0035307785 0.0046477844 0.0036409204 0.0038040553 0.0035079187 0.0041095433 0.0033832297 0.0036876788 0.003786391 0.0059144176 0.0036253342 0.0033375104 0.0029520134 0.004008753 0.0030465692 0.003262697 0.003028905 0.004983406 0.0031608676 0.0031972353 0.0030486474 0.0035723415 0.0028294025 0.0030798197 0.0031910008 0.0045116656 0.0032855566 0.0032263293 0.0031411252 0.0038861423 0.0033271196 0.003291791 0.003622217 0.004629081 0.003288674 0.0034788246 0.0031650239 0.004032652 0.0031961962 0.0034725901 0.0033385495 0.008661733 0.0046020653 0.0040108315 0.003525583 0.004365156 0.0034362227 0.0030257879 0.0033832297 0.004541799 0.0038341885 0.002958248 0.0031858054 0.0037261245 0.0027961521 0.0028408323 0.0029790294 0.005235901 0.0032034698 0.003498567 0.0030195534 0.0036575457 0.0031764538 0.0033001036 0.003261658 0.004542838 0.002836676 0.0030351395 0.0027036744 0.0035193486 0.0032294465 0.0029800686 0.0031473597 0.0050145783 0.0034092066 0.0032730878 0.002795113 0.0037749612 0.0030091626 0.0030517646 0.0031837272 0.0041396767 0.0030039672 0.0031234608 0.0030133189 0.003647155 0.0028304416 0.0029114895 0.0030268268 0.0046748007 0.0031068358 0.003841462 0.0028553794 0.0035629899 0.0031494377 0.002987342 0.0031172265 0.0042602094 0.0031473597 0.0033364713 0.00318061 0.0036523503 0.0031868445 0.003331276 0.0033551748 0.0067248964 0.004064863 0.0037188511 0.0033354321 0.0041230517 0.0032439937 0.00330426 0.0032232122 0.0043308665 0.003331276 0.0031182654 0.0030798197 0.003648194 0.0029800686 0.0030767026 0.002795113 0.0042467015 0.003274127 0.0030933276 0.003001889 0.0037126166 0.0030195534 0.00293331 0.0029395446 0.003974464 0.0031089138 0.0027202996 0.0026361344 0.0035349347 0.0029426618 0.003580654 0.002879278 0.0049595074 0.003233603 0.0033956987 0.002972795 0.0038050944 0.0030652727 0.0032024307 0.002906294 0.004449321 0.0054561854 0.0034663558 0.0031338516 0.00378743 0.0030777415 0.0032460717 0.0031899617 0.0046207686 0.0033167289 0.0034195974 0.0030413738 0.0037385935 0.0030891714 0.0033115335 0.0032460717 0.0043474915 0.0030257879 0.0031858054 0.0028678484 0.0040181046 0.0030912496 0.004229037 0.004530369 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 0.06201328 0.062458877 0.055308003 0.06059685 0.059547927 0.054917064 0.05445429 0.060460985 0.053118024 0.052087326 0.05290928 0.05639232 0.050499108 0.056629695 0.053818174 4007.0 5.704517 22858.0 0.017149357 0.010455858 0.009362149 0.0086184265 0.013430746 0.012424534 0.011812057 0.01146207 0.012555779 0.009755884 0.008487182 0.0086184265 0.013911978 0.010543355 0.0117683085 0.009974626 0.016755622 0.011899554 0.008749672 0.007568466 0.009843381 0.008487182 0.007830956 0.008355937 0.010280864 0.008443434 0.0096246395 0.008880917 0.011549567 0.008968414 0.0096683875 0.009187155 0.018068073 0.010893341 0.010368361 0.009055911 0.010893341 0.008837169 0.0106746 0.008312188 0.014261966 0.011637064 0.009755884 0.008968414 0.01146207 0.009362149 0.011680812 0.009580891 0.014830694 0.0096246395 0.009974626 0.009012162 0.012074547 0.009362149 0.009580891 0.009799632 0.013693237 0.009230904 0.010543355 0.009537143 0.011155832 0.009843381 0.010412109 0.010718348 0.017980576 0.011024587 0.009712135 0.008180943 0.013124508 0.00826844 0.009405897 0.008355937 0.015486919 0.0093184 0.008924665 0.008705923 0.011374573 0.00800595 0.009930878 0.007874705 0.013212005 0.00800595 0.008705923 0.008837169 0.011418322 0.009405897 0.008180943 0.007874705 0.010893341 0.008837169 0.011899554 0.008443434 0.011287076 0.008968414 0.009974626 0.008749672 6.5544834 0.0 0.0 0.0 14.0 962394.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.24834256 0.057310183 0.0071841558 0.003163451 0.0062570176 0.0027767555 0.0024133546 0.00257176 0.007049045 0.0015328062 0.0031354972 0.0014396266 0.00390423 0.0020685897 0.0010575898 0.002268926 0.0043701283 0.0024366495 0.0011927004 0.00092247914 0.00192882 0.0029957278 0.0010482718 0.0011041795 0.0017238247 0.0014442855 0.00092713814 0.00097372796 0.0013464468 0.0017331426 0.0012159952 0.00066157593 0.007687326 0.00066623493 0.0011321335 0.00072680175 0.0013464468 0.004207064 0.0012532672 0.0004985115 0.0011321335 0.00063362205 0.00075941463 0.0013231519 0.00088986626 0.00053112436 0.0027907323 0.0004798755 0.0014303086 0.0015561011 0.0009923639 0.0034243544 0.00088054826 0.0008106635 0.00078270957 0.00081532245 0.0010342948 0.0011367925 0.0008991842 0.0015654191 0.0013138339 0.0008432764 0.00088986626 0.00097372796 0.0040905895 0.0017051888 0.0011600874 0.0024226725 0.003862299 0.0075522154 0.0030702716 0.0013511059 0.0020592716 0.0012159952 0.00052180636 0.0006149861 0.0014675804 0.0062523587 0.0015980321 0.001271903 0.0068952986 0.002236313 0.0013790597 0.0035175341 0.0015887141 0.0035082162 0.004919889 0.0044260365 0.0011554285 0.0011740644 0.0006895299 0.0011787233 0.0009923639 0.0029398198 0.003265949 0.0020825665 0.00096441 0.0037737782 0.001281221 0.0024133546 0.0038343451 0.007934253 0.002245631 0.001262585 0.0042955847 0.0037924142 0.005218064 0.0005031704 0.0043654693 0.0025065343 0.0037504833 0.004472626 0.0027767555 0.00092247914 0.0072540403 0.0036433267 0.009331948 0.007934253 0.0021291564 0.0024506263 0.0016539398 0.001281221 0.00071748375 0.0020592716 0.0043934234 0.0026183499 0.0011321335 0.00087588927 0.008730939 0.0018123453 0.0008619123 0.0059728194 0.0023061978 0.0033544695 0.0026742576 0.0008991842 0.043710604 0.006485308 0.0028373222 0.023360154 0.0018216633 0.008260381 0.001621327 0.0010436127 0.0014582624 0.00063362205 0.0005497603 0.0010342948 0.0007128248 0.00056839624 0.0005870322 0.0004798755 0.00091316114 0.00091316114 0.0005031704 0.0004938525 0.00072680175 0.0006010091 0.00072214275 0.0004193087 0.001910184 0.00091316114 0.00041464972 0.00081998145 0.00079202757 0.000969069 0.0006941889 0.0010016819 0.0030516356 0.000638281 0.0069605242 0.0005497603 0.000955092 0.0005963502 0.00052180636 0.0004798755 0.0014536035 0.0006149861 0.0006149861 0.0004985115 0.0011181565 0.0006056681 0.0009085022 0.0008619123 0.0027255064 0.00087588927 0.0011647464 0.0006941889 0.0007454377 0.0005031704 0.0011694054 0.000959751 0.004845345 0.0014116726 0.0037225294 0.0024086956 0.0011181565 0.001304516 0.0023201748 0.001919502 0.0013976956 0.0018682532 0.00063362205 0.0010529307 0.04697655 0.0005404423 0.0031168612 0.0012206542 0.0013324699 0.00071748375 0.0005870322 0.0007407787 0.001290539 0.00041464972 0.0012299722 0.0011461105 0.0016725758 0.0007128248 0.00082929945 0.00092247914 0.0015514422 0.0013184929 0.0005171474 0.00078270957 0.0017051888 0.0016585989 0.0009457741 0.0004472626 0.001593373 0.00067089393 0.0006103271 0.0006941889 0.013170952 0.0033964005 0.00067555293 0.0026649397 0.00491523 0.00073146075 0.0013744007 0.00047521654 0.004458649 0.0025158522 0.00072680175 0.00072680175 0.002273585 0.0011041795 0.0015048523 0.0014070136 0.003559465 0.0010296358 0.0011134975 0.0018170044 0.0065179206 0.0016306449 0.0020033638 0.066544294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044508716 3.521259e-05 2.1127555e-05 1.6432543e-05 1.4085036e-05 1.4085036e-05 1.4085036e-05 1.6432543e-05 0.000103290266 1.8780049e-05 1.8780049e-05 1.6432543e-05 1.4085036e-05 1.6432543e-05 1.6432543e-05 2.1127555e-05 0.00854727 3.0517578e-05 7.042518e-05 5.3992637e-05 0.00016432542 6.1035156e-05 0.0001971905 0.00012207031 7.5120195e-05 3.0517578e-05 7.7467696e-05 2.347506e-05 3.2865086e-05 3.0517578e-05 3.2865086e-05 6.573017e-05 0.0039790226 1.8780049e-05 7.5120195e-05 4.9297625e-05 0.00028639572 5.6340145e-05 0.00028170072 9.624775e-05 0.0036574143 2.347506e-06 0.0010375977 5.868765e-05 4.695012e-06 2.347506e-06 9.390024e-06 0.0 0.005587064 0.00010563777 5.6340145e-05 0.00015493539 0.00061974156 8.685772e-05 0.00026057317 0.00011033278 0.014376127 4.225511e-05 0.002277081 0.00012441781 6.1035156e-05 2.347506e-05 2.347506e-05 0.00012911283 0.028841458 0.00061035156 0.0005399264 0.0005610539 0.0007042518 0.00018310547 0.0007136418 0.0010399452 0.003446139 0.00057748647 0.0005141038 0.00040846603 0.0003145658 0.0005258414 0.000974215 0.0033146786 0.041212816 0.000603309 0.0043640137 0.0010681152 0.002213698 0.000964825 0.012239897 0.0068265474 0.014697735 0.00017606295 0.0033099835 0.00033099836 0.0002629207 4.9297625e-05 0.00028874323 0.002737192 0.056506816 0.0013662485 0.0041574333 0.0016221267 0.0033475435 0.002133883 0.007145808 0.006082388 0.011798565 0.0005469689 0.0024038462 0.0006267841 0.0008544922 0.0003192608 0.0012911283 0.0055659367 0.061722975 0.005000188 0.0056621847 0.0021010179 0.0059720553 0.0038499099 0.012312669 0.010124793 0.0065354565 0.0015164888 0.0014343262 0.0010939378 0.017834004 0.00097891 0.0015798715 0.0065119816 0.009270301 0.0015470064 0.00038029597 0.00024414062 0.00053288386 0.0005516639 0.0005516639 0.0006385216 0.0027395396 0.0002793532 0.00023709811 0.00023944561 0.00048593374 0.00032395584 0.0005469689 0.0006619967 0.0136178825 0.0014178937 0.0012817383 0.0009390024 0.0012418306 0.0011127179 0.00200477 0.0014038086 0.001791147 0.0006573017 0.0008357121 0.0010587252 0.0030188928 0.00096012995 0.0011221078 0.005997878 0.024242695 0.0017418495 0.002277081 0.0024367112 0.0029062124 0.0025587815 0.0029766376 0.0063593937 0.0059650126 0.0020399827 0.003279466 0.002941425 0.0063758264 0.0036738468 0.0043170634 0.01725417 0.083242565 0.011739878 0.0058898926 0.008622389 0.01876831 0.026069054 0.010908861 0.014460637 0.04356971 0.0046973596 0.005033053 0.0075190617 0.040787917 0.007361779 0.022275485 0.049630973 0.00975154 0.0019202599 0.00095308747 0.0013709435 0.0034860463 0.0044649565 0.0019812952 0.0037090594 0.00784067 0.0007817195 0.000964825 0.0011526254 0.006380521 0.0016127366 0.003521259 0.0078007625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 669.0 12.303438 8231.0 0.0195602 0.0013364111 0.0053456444 0.00048596767 0.0015793949 0.0013364111 0.0015793949 0.00072895153 0.0014579031 0.0015793949 0.00085044344 0.0023083466 0.0015793949 0.0017008869 0.02089661 0.0018223788 0.004495201 0.012149192 0.0066820555 0.0150649985 0.0026728222 0.0020653626 0.0018223788 0.0077754827 0.0020653626 0.0038877414 0.0026728222 0.0031587898 0.0057101203 0.004616693 0.00947637 0.012635159 0.029036568 0.019074231 0.0072895153 0.026363747 0.042157695 0.012513668 0.0120277 0.010812781 0.0054671364 0.009111894 0.0020653626 0.004738185 0.0072895153 0.0068035475 0.004859677 0.0074110073 0.012513668 0.0035232657 0.009719354 0.014579031 0.007896975 0.0051026605 0.017859312 0.020410642 0.0024298385 0.0010934273 0.0036447577 0.0015793949 0.0018223788 0.0023083466 0.0034017737 0.0074110073 0.003037298 0.032316852 0.008018467 0.02089661 0.024784353 0.07131576 0.0052241525 0.010205321 0.007653991 0.031830885 0.004495201 0.0032802818 0.032681327 0.01895274 0.028064633 0.040213827 0.014700523 0.00060745963 0.032073867 0.023569433 0.050176162 0.012878143 0.0040092333 0.013850079 0.00886891 0.007896975 0.0026728222 0.00072895153 0.00085044344 0.00012149192 0.00048596767 0.00012149192 5.81119 0.0 0.0 0.0 2.0 214639.0 225280.0 1.0 0.0 233.0 0.0 1.0 0.0 0.0 0.0 1091599600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 137216.0 1024.0 4096.0 3.0 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 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -137216.0 0.0 70656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3235936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.059665 0.0 4.967063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136844.0 0.0 70592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 3.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 3.0 -1.0 1.0 -1.0 1.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 -3.0 -1.0 -1.0 1.0 0.0 2.0 -1.0 -2.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 2.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 1.0 1.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 2.0 1.0 2.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -3.0 1.0 -1.0 -1.0 1.0 1.0 1.0 1.0 -1.0 0.0 -2.0 -1.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 -1.0 0.0 -2.0 1.0 2.0 0.0 1.0 3.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -2.0 -2.0 -1.0 -1.0 2.0 -1.0 -1.0 -2.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 -1.0 3.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 1.0 0.0 -3.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 1.0 -2.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 2.0 -2.0 0.0 -2.0 0.0 -1.0 0.0 2.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 1.0 -2.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -2.0 2.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -2.0 1.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 -2.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -2.0 1.0 1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 -2.0 -1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 -1.0 -3.0 1.0 1.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 -3.0 1.0 2.0 -1.0 1.0 1.0 1.0 1.0 -1.0 0.0 1.0 1.0 -2.0 3.0 -2.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -3.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 1.0 -1.0 0.0 -1.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 132924.0 70592.0 151552.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 7952.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 27976.0 224.0 600.0 3848.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.22414371 0.04547935 0.033810444 0.023274848 0.015593519 0.011501008 0.012214573 0.0075763934 0.010577569 0.009150436 0.004722129 0.0061912355 0.0031270988 0.006736904 0.004973976 0.0038826393 0.015677469 0.007261585 0.0038616522 0.003672767 0.0016579919 0.001574043 0.0032949967 0.003672767 0.001846877 0.0015320685 0.0010073875 0.0161182 0.00220366 0.0020357622 0.0018678643 0.0017839153 0.018636668 0.001133311 0.0019728006 0.0030431498 0.0025814306 0.0029382135 0.001406145 0.0014271323 0.0020567495 0.0035468435 0.002455507 0.0025394561 0.0019937877 0.00524681 0.0032949967 0.002287609 0.014439221 0.0062541976 0.002371558 0.004113499 0.0032530222 0.003064137 0.0024974814 0.002098724 0.0033369712 0.0030431498 0.0024345198 0.0016370047 0.0015110812 0.0013641706 0.0012172599 0.0010703492 0.0025394561 0.0047850907 0.0032320349 0.0078072534 0.0048690396 0.0026443922 0.0057714907 0.001574043 0.00281229 0.00440732 0.0009234385 0.0009024513 0.0033159838 0.0018258898 0.0019937877 0.0018049026 0.0016999664 0.0013851578 0.002791303 0.0036307925 0.0021197111 0.003924614 0.0042394223 0.0033579583 0.0007555406 0.0011962727 0.0011542982 0.0009234385 0.0012802216 0.00048270653 0.0008604768 0.00440732 0.0026653796 0.009192411 0.0030221625 0.005183848 0.0047850907 0.016286097 0.0016789791 0.00342092 0.0047641033 0.010808429 0.0010913365 0.0014481195 0.007975151 0.005414708 0.007009738 0.009297348 0.0034419072 0.0014691068 0.011207186 0.017608294 0.014439221 0.006904802 0.0024345198 0.0038826393 0.0016579919 0.0037986904 0.001049362 0.0013221961 0.00088146405 0.00077652786 0.00065060443 0.0009864003 0.0047011417 0.0011752854 0.002371558 0.0013641706 0.0011542982 0.00081850233 0.0024135325 0.000524681 0.00083948957 0.0014271323 0.0009864003 0.0009234385 0.00088146405 0.0007975151 0.0011123237 0.00081850233 0.00083948957 0.0007555406 0.0007975151 0.0009444258 0.00096541306 0.00081850233 0.00077652786 0.00081850233 0.001049362 0.00083948957 0.00081850233 0.00088146405 0.00081850233 0.00060862995 0.0010073875 0.0008604768 0.002707354 0.0020357622 0.0009444258 0.0012172599 0.0026863667 0.00060862995 0.00088146405 0.00071356614 0.001049362 0.001406145 0.0011123237 0.00071356614 0.0016789791 0.00088146405 0.00088146405 0.0009024513 0.0008604768 0.0008604768 0.00067159167 0.0015530557 0.0010703492 0.0009234385 0.00065060443 0.0014691068 0.0010283748 0.00065060443 0.0007345534 0.0010073875 0.0013641706 0.00088146405 0.0013641706 0.00065060443 0.0022246474 0.0007975151 0.0007345534 0.0013431833 0.0010913365 0.001406145 0.010241773 0.0013431833 0.00065060443 0.0015320685 0.0009864003 0.0008604768 0.0014481195 0.00081850233 0.0010913365 0.0007975151 0.0012592344 0.0007555406 0.00067159167 0.0010283748 0.0005876427 0.00077652786 0.000524681 0.0012802216 0.00067159167 0.0010913365 0.00054566824 0.0011962727 0.00060862995 0.0007975151 0.0009444258 0.0007345534 0.0023505709 0.0005876427 0.0006925789 0.0011123237 0.0009024513 0.0016579919 0.0005876427 0.0011962727 0.0009444258 0.001490094 0.0007555406 0.0008604768 0.0016370047 0.00077652786 0.00067159167 0.00071356614 0.0013641706 0.00083948957 0.00088146405 0.001406145 0.0007975151 0.001049362 0.00083948957 0.0014271323 0.0005666555 0.00083948957 0.0010283748 0.001049362 0.0010913365 0.0007555406 0.0005876427 0.0013641706 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04672309 0.004405382 0.009233941 0.00017361112 0.000390625 0.000390625 0.00022786458 0.0005533854 0.0004123264 0.00018446181 0.00021701389 0.00027126737 0.00085720484 0.000531684 0.0012261284 0.00086805556 0.018164063 0.00036892362 0.0007052951 0.001063368 0.0047634547 0.0042751734 0.02389323 0.012717014 0.00026041668 7.5954864e-05 0.00013020834 6.510417e-05 3.2552085e-05 2.170139e-05 4.340278e-05 8.680556e-05 0.13095704 0.0202908 0.008072916 0.003624132 0.0050889757 0.005436198 0.012424045 0.009190538 0.0024956597 0.002126736 0.0033745659 0.0021050347 0.010405816 0.00234375 0.0018229167 0.0024631077 0.09921875 0.009678819 0.0069552953 0.0063802083 0.0054144966 0.0050238715 0.0070421007 0.015538194 0.0038194444 0.002018229 0.004079861 0.0024197048 0.0037217883 0.001844618 0.0026475694 0.0019748264 0.046972655 0.013237847 0.008637153 0.011501736 0.013075087 0.0032986111 0.015896268 0.008648003 0.002061632 0.00029296876 0.0022135417 0.0013780382 0.0027777778 0.0007703993 0.0017578125 0.00081380206 0.03879123 0.007899306 0.007530382 0.01108941 0.00890842 0.0037543403 0.011968316 0.009516059 0.0015842014 0.0007921007 0.0018988715 0.0015082465 0.0021918402 0.0012478299 0.0017578125 0.0006727431 0.01719835 0.0025824653 0.002940538 0.0036675348 0.0026801215 0.0014105903 0.0047092014 0.0029622396 0.001529948 0.00069444446 0.00085720484 0.0006076389 0.0007486979 0.00048828125 0.0006293403 0.00073784724 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.028146701 0.011273871 0.012521701 0.01578776 0.010698785 0.010123698 0.019129774 0.0140625 0.009114583 0.0066840276 0.0071072048 0.0069227433 0.006499566 0.005870226 0.0065104165 0.0073242188 564.0 16.664894 9399.0 0.010213853 0.0005319715 0.0009575487 0.0009575487 0.005000532 0.001063943 0.0011703373 0.0006383658 0.0007447601 0.0009575487 0.0006383658 0.0003191829 0.0009575487 0.018619003 0.010320247 0.005638898 0.04457921 0.020321311 0.007447601 0.012448133 0.008085967 0.010320247 0.002127886 0.004149378 0.009256304 0.009788276 0.0026598575 0.0008511544 0.0005319715 0.0008511544 0.0002127886 0.0003191829 0.0001063943 0.018619003 0.0111714015 0.029684009 0.019257369 0.007979573 0.021598043 0.002447069 0.0011703373 0.013299287 0.0004255772 0.0005319715 0.008937121 0.0044685607 0.0058516865 0.0044685607 0.004149378 0.001063943 0.008937121 0.013405682 0.006383658 0.0022342803 0.002447069 0.0119161615 0.0003191829 0.0001063943 0.0019150974 0.0001063943 0.0001063943 0.0 0.0003191829 0.017448666 0.0002127886 0.039897863 0.008830727 0.01904458 0.017448666 0.07394404 0.0044685607 0.0111714015 0.019363763 0.04277051 0.0008511544 0.0030854347 0.033301417 0.02127886 0.028939249 0.04160017 0.010320247 0.0015959145 0.0485158 0.045962337 0.06681562 0.019682946 0.0069156294 0.0035110118 0.003936589 0.010213853 0.0011703373 0.0001063943 0.0008511544 0.0004255772 0.0001063943 0.0001063943 5.4955077 0.0 16.0 0.0 1.0 47648.0 65536.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1543936900.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 35328.0 512.0 8192.0 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 -35328.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.81021 0.0 3.206425 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 -35306.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91.0 43392.0 952.0 49152.0 0.0 0.0 10272.0 37376.0 12.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 8192.0 0.0 0.0 72.0 8208.0


Input: 0.7603919 0.0021105886 0.0012990945 0.0012665291 0.0018456648 0.00102977 0.0009435158 0.0009549577 0.0019028742 0.00082997704 0.0008528608 0.0009470364 0.0014856854 0.00082645647 0.0007718874 0.002356149 0.0014346369 0.0007666066 0.00079741166 0.00073052064 0.0009892833 0.00095583784 0.00084757997 0.00068827363 0.0010016054 0.00072788016 0.00070323615 0.0006565884 0.0008678233 0.0006425061 0.0006873935 0.00071995886 0.0011899564 0.0006777119 0.0006988354 0.0007745279 0.0010183281 0.0007049964 0.0006891538 0.00073052064 0.00080269255 0.0006521877 0.0006891538 0.0010905 0.0007648463 0.001145069 0.0006935545 0.00063370465 0.00092063204 0.0007472434 0.000708517 0.0014760037 0.0007296405 0.00065570825 0.000702356 0.0006354649 0.00078332936 0.00078332936 0.00071115745 0.0012515667 0.0007551647 0.0007745279 0.0006997155 0.0008898269 0.0010033657 0.002561223 0.00087222405 0.00077628816 0.0008634226 0.0017990171 0.0009919237 0.0007806889 0.0008625424 0.00077364774 0.00067947217 0.0006645097 0.0007613257 0.0012674093 0.00081589475 0.0006970751 0.0013888694 0.0008977482 0.00076572644 0.0010183281 0.00076044555 0.0011213052 0.0011389081 0.0010491333 0.0007938911 0.001145069 0.00066362956 0.0007824492 0.0006997155 0.0012163608 0.0010684964 0.0009223923 0.000962879 0.0010394517 0.00076836685 0.0008871865 0.00082997704 0.0012374843 0.0012383645 0.00072700006 0.0009866429 0.0008977482 0.0012119601 0.00074108236 0.0009109504 0.0007745279 0.0009259129 0.0009250327 0.00087046373 0.0006645097 0.0011283463 0.0011758741 0.0022021236 0.001987368 0.0007903705 0.0007639661 0.00077364774 0.0008229359 0.0006865134 0.0006513075 0.0007393221 0.0009030291 0.0008150146 0.0008634226 0.00096375914 0.00091359083 0.000750764 0.002276936 0.000987523 0.002089465 0.0006812325 0.00071379787 0.0008845461 0.0018694287 0.0008035727 0.0042484617 0.00071995886 0.0016907592 0.0006697906 0.00061874214 0.0006997155 0.0006460267 0.0006653899 0.0006486671 0.0007129177 0.0007049964 0.00067067076 0.00063986564 0.00071907876 0.0006513075 0.00064162596 0.0007217192 0.00071379787 0.0006891538 0.00068827363 0.00080093223 0.00075428456 0.00074636325 0.0006733112 0.0006891538 0.0007296405 0.00071995886 0.0006680303 0.0006653899 0.00077540806 0.0006645097 0.00064162596 0.00070323615 0.000714678 0.00064778695 0.0006680303 0.00067683175 0.00076836685 0.0006653899 0.0006372252 0.00066627003 0.000750764 0.00070587656 0.0010588148 0.00078156905 0.0008290969 0.00076572644 0.0007217192 0.0006953148 0.0006750715 0.0006935545 0.00073052064 0.0006583487 0.0016933996 0.0012999746 0.0009197519 0.0013563039 0.0009399952 0.0007155581 0.00096904003 0.0010570545 0.0010306502 0.0013052556 0.0007437228 0.0006873935 0.001035051 0.00066274946 0.0007798088 0.0007164383 0.0009831224 0.0007956514 0.000756925 0.0007481235 0.00067859207 0.00065570825 0.0007366816 0.00070587656 0.0008898269 0.00083525793 0.000672431 0.0007930109 0.0007366816 0.0008687034 0.00071907876 0.00068475306 0.0009884032 0.0008229359 0.0007181986 0.000672431 0.00091271073 0.00086430274 0.00073052064 0.00071995886 0.0023051007 0.00094527606 0.00071731844 0.0012982143 0.0011978778 0.00066627003 0.00062842376 0.0006970751 0.0011679529 0.00072523975 0.0006583487 0.00076572644 0.0009056695 0.00066627003 0.0009725606 0.00085638143 0.0015226514 0.0008097337 0.00074900367 0.00075252424 0.0012462857 0.0008361381 0.0010517737 0.0067005465 0.73916966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026436816 7.623886e-05 0.00011546 2.0712292e-05 9.298497e-05 4.2746644e-05 0.00023620826 0.00014586741 3.2610842e-05 1.49833595e-05 2.9085346e-05 1.5864734e-05 2.7322598e-05 3.481428e-05 5.9052065e-05 2.247504e-05 0.0021805195 4.5831453e-05 0.00028512452 2.4678475e-05 0.00017186796 7.271337e-05 0.00048828125 0.0003164133 1.5864734e-05 1.3220612e-06 1.3220612e-06 4.8475576e-06 0.0 4.4068705e-07 0.0 8.813741e-07 0.0022395717 6.389962e-05 0.00014146054 6.1696184e-05 0.00014851154 8.549329e-05 0.00038912665 0.00022739451 2.7322598e-05 3.305153e-05 4.8475576e-05 2.688191e-05 2.9966719e-05 3.128878e-05 2.5119161e-05 3.0848092e-05 0.00082540687 2.1152979e-05 0.00012647719 1.189855e-05 8.284917e-05 5.3323132e-05 0.00034329522 0.00024766612 9.254428e-06 9.254428e-06 1.1017176e-05 2.6000536e-05 1.0576489e-05 1.2339237e-05 3.5254964e-06 1.1017176e-05 0.0037145512 0.00018200376 0.000295701 0.00014983359 0.00073991355 0.0002106484 0.0009232394 0.0005076715 0.00010840901 8.1086415e-05 0.00030231132 0.00019434298 0.000187292 0.00011105314 7.667955e-05 0.00033800697 0.0015318282 6.830649e-05 7.932367e-05 0.00011105314 0.00028512452 0.00013000268 0.00047109445 0.00031156573 7.976436e-05 3.9661834e-05 8.284917e-05 4.0983894e-05 0.00013132473 8.328985e-05 7.006924e-05 9.386634e-05 0.0013974187 0.00013000268 0.00013705368 0.0002110891 0.0002652936 0.00016922383 0.00017407138 0.00026705634 0.00091574766 0.00017186796 0.0001088497 0.000237971 0.00045038215 8.064573e-05 0.00021020773 0.0013908084 0.009183037 0.0013718588 0.0010594117 0.0015075904 0.0023259462 0.0021972656 0.0010907004 0.002065941 0.005085088 0.0004530263 0.00044465324 0.000915307 0.0027000895 0.0008011691 0.002137773 0.0045672804 0.0067945127 0.0014101985 0.0009320531 0.0013291121 0.002343133 0.0026604277 0.001132125 0.0019822104 0.0045941626 0.0003781095 0.00040939826 0.00057024905 0.0025828667 0.0013529093 0.0023589977 0.00436809 0.009951595 0.009855526 0.009778405 0.009812338 0.009721115 0.009823355 0.009816744 0.009777083 0.010042377 0.009844508 0.009714064 0.009783252 0.009811456 0.009767388 0.009952917 0.009587588 1206.0 7.63267 9205.0 0.024660511 0.006626833 0.0063009234 0.005866377 0.011080935 0.0045627374 0.0063009234 0.009994568 0.007713199 0.0071700164 0.004997284 0.0063009234 0.007278653 0.005649104 0.012384574 0.005323194 0.008039109 0.0067354697 0.006518197 0.006626833 0.0054318304 0.0054318304 0.004997284 0.005323194 0.0063009234 0.00640956 0.006626833 0.008473655 0.0051059206 0.0052145575 0.00608365 0.0063009234 0.007495926 0.011080935 0.0054318304 0.013362303 0.0070613795 0.0073872893 0.010863661 0.009451385 0.007278653 0.009016839 0.005866377 0.006192287 0.008908202 0.0073872893 0.0073872893 0.00640956 0.016730038 0.006952743 0.008908202 0.01249321 0.009994568 0.0059750136 0.009777295 0.01314503 0.008799565 0.006192287 0.0079304725 0.0068441066 0.006518197 0.005866377 0.0076045627 0.0115154805 0.011298208 0.028571429 0.0096686585 0.02368278 0.018359587 0.04486692 0.010429115 0.008582292 0.0114068445 0.023791417 0.009234112 0.0068441066 0.022487778 0.010972298 0.021292776 0.028136883 0.011732754 0.0051059206 0.03465508 0.02151005 0.04041282 0.014774579 0.009016839 0.00640956 0.009125475 0.011950027 0.0070613795 0.006192287 0.0063009234 0.0059750136 0.0059750136 0.006518197 6.3140917 0.0 0.0 0.0 7.0 1136176.0 1134592.0 1.0 0.0 99.0 1.0 1.0 1.0 0.0 0.0 1543975200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 992768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.29996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4010804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.012216 0.0 2.1111453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84349.0 0.0 992508.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 115388.0 992508.0 131072.0 0.0 0.0 23088.0 1113088.0 4276.0 1126400.0 84.0 113008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 113096.0 0.0 0.0 416.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.19951105 0.012449511 0.009725765 0.004357993 0.009473321 0.010137649 0.0021789966 0.02738361 0.0052083335 0.0024447278 0.0027901786 0.00216571 0.0070950254 0.0023384353 0.0045307186 0.007254464 0.005434205 0.0013818027 0.0009034864 0.0013020834 0.002750319 0.008264244 0.00069090136 0.0005978954 0.002232143 0.00050488947 0.00089019985 0.0006377551 0.0018999787 0.0011426446 0.001434949 0.0007971939 0.008769132 0.00074404763 0.0008503401 0.0007971939 0.008157951 0.0027104593 0.00055803574 0.00054474914 0.0014083758 0.00094334607 0.00073076104 0.001129358 0.001341943 0.0010762117 0.0013950893 0.0002657313 0.008450255 0.0063775512 0.0042915605 0.0050223214 0.0030691964 0.0042915605 0.0035209397 0.004025829 0.0060321004 0.0068558673 0.005367772 0.015146684 0.006749575 0.0060321004 0.0030027635 0.005500638 0.011346726 0.032007333 0.0018866921 0.0012887968 0.0035873724 0.0083173895 0.001833546 0.0011426446 0.002072704 0.0021258504 0.00089019985 0.0005314626 0.0012887968 0.0010230655 0.000823767 0.0007839073 0.008782419 0.0028831845 0.0027901786 0.0027901786 0.002351722 0.002192283 0.0021789966 0.002046131 0.0034146472 0.0049558887 0.008888712 0.0028433248 0.0020992772 0.002258716 0.0034943665 0.0034677933 0.0010894983 0.0029097577 0.000823767 0.001833546 0.0026041667 0.0047565904 0.0039859693 0.0010097789 0.002258716 0.003388074 0.002776892 0.0026307397 0.0022720026 0.00094334607 0.0032153486 0.0029496173 0.0018999787 0.0004517432 0.003109056 0.003295068 0.011546025 0.007905506 0.0011559312 0.0014482356 0.0023650085 0.00081048044 0.0006643282 0.0004118835 0.0026307397 0.0013818027 0.0012356505 0.0015811012 0.009871918 0.001833546 0.0010762117 0.012502657 0.002564307 0.0062579717 0.00038531038 0.00047831633 0.0029097577 0.019770408 0.0030691964 0.014296344 0.00077062077 0.005168474 0.00055803574 0.00054474914 0.0020859907 0.00023915817 0.00081048044 0.0002923044 0.00094334607 0.00035873725 0.0003321641 0.000518176 0.0011160715 0.0021789966 0.00054474914 0.00037202382 0.0007041879 0.0006377551 0.00039859695 0.0005314626 0.0013286564 0.0064838436 0.00042517006 0.0020992772 0.000823767 0.0005314626 0.0004118835 0.00021258503 0.001129358 0.00034545068 0.000518176 0.00034545068 0.00081048044 0.00038531038 0.00074404763 0.0007041879 0.0012090774 0.00038531038 0.0004118835 0.00034545068 0.0012223639 0.00043845663 0.0011825042 0.00037202382 0.008091518 0.0007041879 0.0033083546 0.0011027849 0.001434949 0.0007971939 0.00037202382 0.00062446855 0.0074271895 0.005434205 0.0028433248 0.007320897 0.0037999575 0.0005846088 0.002285289 0.006284545 0.0030957696 0.0017671131 0.0010629252 0.0005978954 0.0024181549 0.00061118195 0.0004118835 0.0004517432 0.003627232 0.002285289 0.0023782952 0.0012755102 0.0010762117 0.00050488947 0.00087691325 0.00050488947 0.0017405399 0.0019796982 0.00094334607 0.0011559312 0.0008370536 0.00042517006 0.00049160287 0.0005978954 0.003720238 0.0007971939 0.0015678146 0.0006510417 0.00089019985 0.0006776148 0.00046502976 0.0003321641 0.012263499 0.0040656887 0.00047831633 0.006550276 0.0026971726 0.00077062077 0.00047831633 0.00039859695 0.0038398171 0.0019265519 0.0035873724 0.0015146683 0.004251701 0.0016608206 0.0030957696 0.0016076743 0.008755846 0.0009964923 0.0018734057 0.0013020834 0.004251701 0.0011160715 0.002192283 0.04590508 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013244629 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00021701389 0.0 0.0 0.0 0.0 0.0004272461 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012098525 3.390842e-05 0.00010172526 0.000115288625 0.00021701389 0.000108506945 0.00047471788 0.00020345052 0.0 1.3563368e-05 5.4253473e-05 6.781684e-06 1.3563368e-05 0.0 1.3563368e-05 0.00043402778 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02025689 0.0007052951 0.00017632378 0.00086805556 0.00027126737 0.0004272461 0.0009290907 0.00020345052 0.00010172526 0.0008409288 0.00027804903 7.459852e-05 0.00088161894 7.459852e-05 6.1035156e-05 0.0016276041 0.008544922 0.0 0.0011461047 0.00034586588 0.000257704 0.0005018446 0.001953125 0.0011054145 6.781684e-06 0.0 0.0 0.0 0.0 0.0 0.0 2.7126736e-05 0.007446289 0.00044080947 0.00018988716 0.00084771053 9.494358e-05 0.00014241536 0.00010172526 0.00019666884 0.00033230253 0.00010172526 4.747179e-05 3.390842e-05 0.000257704 6.781684e-05 8.816189e-05 0.0034993489 0.009189182 0.0004272461 0.0025770399 0.0015733507 0.0006781684 0.0004679362 0.004909939 0.0022176106 0.000128852 0.000773112 4.747179e-05 2.0345053e-05 0.00086127385 5.4253473e-05 5.4253473e-05 0.003797743 0.014383952 0.00041368272 0.00045437284 0.00040690103 0.0020887586 0.00069173175 0.0026312934 0.0014038086 0.00083414715 0.00018988716 0.00018988716 0.00023735894 0.0005628798 0.00027804903 0.0007052951 0.0023057726 0.016940646 0.0028347438 0.0046251086 0.040941026 0.00455051 0.003648546 0.007297092 0.0048760306 0.0036146375 0.0026855469 0.00253635 0.002529568 0.0030178493 0.0028076172 0.0025838215 0.0056220163 0.016621908 0.0017022027 0.0018310547 0.009521484 0.0042860243 0.001715766 0.0040215384 0.0028483074 0.002190484 0.000773112 0.0013156467 0.00084771053 0.002061632 0.0007324219 0.001546224 0.003540039 0.16392009 0.022047255 0.018174913 0.038581 0.05411784 0.04537625 0.012953017 0.026231553 0.06895617 0.0058729383 0.01171875 0.016784668 0.03596327 0.014885796 0.029405382 0.060011122 0.016642252 0.002746582 0.0022854274 0.0022379558 0.0052964953 0.0051879883 0.0033094618 0.0026991102 0.0075751413 0.001030816 0.0012478299 0.0018717448 0.003696018 0.002190484 0.0030721028 0.0083550345 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 495.0 14.361616 7109.0 0.062174708 0.0019693347 0.0016880011 0.0021100014 0.0049233367 0.008862006 0.0021100014 0.0028133353 0.002954002 0.0021100014 0.0019693347 0.0018286679 0.0026726685 0.0030946687 0.0077366717 0.0011253341 0.057532705 0.013222676 0.018005345 0.015754677 0.011534674 0.015473343 0.015754677 0.017724011 0.018146012 0.013222676 0.016317343 0.013222676 0.012660009 0.01519201 0.011112674 0.011253341 0.0028133353 0.008580673 0.0043606698 0.006611338 0.005064003 0.007033338 0.004642003 0.0056266706 0.0060486705 0.0049233367 0.0021100014 0.0015473344 0.0045013363 0.00520467 0.0036573359 0.0033760022 0.005345337 0.0077366717 0.008018006 0.012378675 0.006470671 0.008018006 0.008158672 0.010128006 0.004079336 0.011956675 0.008158672 0.011534674 0.0018286679 0.01040934 0.011394007 0.018427346 0.0023913349 0.025320018 0.005345337 0.016176678 0.017864678 0.045435365 0.007033338 0.008299339 0.007877339 0.028414685 0.0025320016 0.0036573359 0.016739344 0.0073146718 0.02869602 0.027008018 0.010128006 0.0012660008 0.02264735 0.02349135 0.035026025 0.013644676 0.0047826697 0.0061893375 0.010550007 0.005064003 0.0015473344 0.0021100014 0.0030946687 0.0011253341 0.0015473344 0.0012660008 6.006855 0.0 0.0 0.0 1.0 75264.0 1769472.0 0.0 0.0 76.0 0.0 0.0 0.0 0.0 0.0 1493419900.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 18.0 1.0 11.0 4.0 0.0 55808.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3584.0 -2048.0 6144.0 0.0 0.0 0.0 0.0 0.0 -55808.0 0.0 0.0 0.0 0.0 0.0 -6.7131553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9671516 -5.0241785 3.4935162 0.0 0.0 0.0 0.0 0.0 -6.45569 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1694416.0 -2035.0 0.0 0.0 0.0 0.0 0.0 0.0 -55432.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2035.0 61440.0 6144.0 1769472.0 0.0 0.0 0.0 0.0 6328.0 1761280.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.13176468 0.012632444 0.0100925425 0.007820883 0.008508248 0.005649812 0.0042499327 0.0022381304 0.011006237 0.0046019983 0.0036128622 0.0036463921 0.003512272 0.003151824 0.00082148606 0.003822425 0.011844488 0.0042583155 0.003495507 0.0023722504 0.0051803915 0.0031937365 0.0027829935 0.01976596 0.00580908 0.0027326986 0.0015926771 0.0012154641 0.0020620977 0.0022297478 0.0014417919 0.0020118025 0.013940115 0.0031015289 0.0034116819 0.0017100322 0.004970829 0.016547076 0.0021459227 0.0010142837 0.0036799223 0.0018190048 0.0021459227 0.0028584362 0.0026572559 0.0015004694 0.0013160541 0.001131639 0.0028752012 0.0018609174 0.0022465128 0.002397398 0.0019112125 0.0018609174 0.0007125134 0.00082986854 0.0024560757 0.00196989 0.0005532457 0.005817462 0.0026824034 0.013235984 0.0015339995 0.000804721 0.01569206 0.0033865343 0.0070832213 0.0026991684 0.0039649275 0.0071335165 0.0029590263 0.0020872452 0.0056749596 0.0024225456 0.0024309282 0.0016681197 0.002623726 0.00587614 0.0014669393 0.0014501744 0.0056665773 0.0024979883 0.0034284468 0.002280043 0.002053715 0.009530915 0.0035541845 0.0034452118 0.0043421406 0.0014585569 0.0008801636 0.00087178114 0.0009220762 0.004233168 0.0011567865 0.0009556062 0.007971767 0.005004359 0.0030009388 0.002908731 0.0032021191 0.0056078997 0.0013328192 0.00087178114 0.003084764 0.002481223 0.0013328192 0.0021626877 0.0023554855 0.0030093214 0.0021459227 0.0016429721 0.0032775616 0.011240947 0.003495507 0.0018609174 0.009304587 0.008533396 0.0014501744 0.006991014 0.0040906654 0.0010729614 0.0010142837 0.0005867758 0.0010897263 0.0045433207 0.0006203058 0.0038978674 0.021006571 0.0050965664 0.0057504023 0.008801636 0.005993495 0.0036128622 0.0018860649 0.0018357699 0.015499262 0.018734911 0.0017854748 0.011090062 0.0025566658 0.0019782726 0.0014334093 0.0012909067 0.0034535944 0.00089692866 0.0030093214 0.0008382511 0.0026488735 0.0022465128 0.0008801636 0.001131639 0.002397398 0.00082986854 0.0018525348 0.0005616282 0.0023387205 0.0022046003 0.0036044796 0.0007125134 0.005381572 0.0017351797 0.0016345896 0.00059515826 0.004199638 0.0010813439 0.0013412017 0.0005448632 0.002347103 0.0028919661 0.0021123928 0.00049456814 0.0025818134 0.0030763815 0.0011567865 0.0009472237 0.0024393105 0.0007292784 0.0007125134 0.00057001074 0.0039984575 0.0014166443 0.001525617 0.0005364807 0.0043253754 0.0017016496 0.0014082618 0.0039313976 0.0013160541 0.0021794527 0.002707551 0.0009136937 0.0042583155 0.0026572559 0.008826784 0.0023890156 0.0015172345 0.0013663493 0.0017351797 0.001525617 0.003529037 0.0017351797 0.0028500536 0.0020453327 0.0031434416 0.002053715 0.0011064914 0.001165169 0.0037218349 0.001525617 0.00064545334 0.0018609174 0.002606961 0.002950644 0.0016932671 0.001232229 0.00404037 0.0009136937 0.0011903165 0.0013831143 0.0013579667 0.0012573766 0.0012070816 0.0012825241 0.003956545 0.001181934 0.002774611 0.0008801636 0.0042415503 0.0016429721 0.0010897263 0.0014501744 0.019581545 0.0029338787 0.0016345896 0.0017267972 0.0027829935 0.0013328192 0.0015339995 0.0016765022 0.0025315182 0.0011064914 0.0016681197 0.0012657591 0.002280043 0.0012070816 0.00075442594 0.0027829935 0.0029338787 0.0017435623 0.002330338 0.012540236 0.003252414 0.0018022398 0.0018525348 0.01435924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0068996265 7.642663e-05 9.765625e-05 6.368886e-05 0.00013586956 6.368886e-05 0.0001953125 0.00018257473 5.0951086e-05 0.00055621605 3.8213315e-05 4.670516e-05 4.245924e-05 2.9721466e-05 6.793478e-05 0.00014860733 0.0062117865 2.122962e-05 6.368886e-05 0.00027173912 0.00072180707 0.00018682065 0.00022078805 0.00021654212 0.00011039402 0.0005264946 4.2459237e-06 2.9721466e-05 2.122962e-05 1.6983695e-05 2.9721466e-05 4.245924e-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 0.00512483 9.341032e-05 7.642663e-05 7.642663e-05 0.0005180027 0.00022927989 0.0013034986 0.00072605297 7.218071e-05 7.642663e-05 5.519701e-05 5.519701e-05 8.067255e-05 5.9442933e-05 6.368886e-05 8.491848e-05 0.006148098 7.642663e-05 9.341032e-05 0.00029721466 0.0020889945 0.0009935462 0.0046620243 0.0025815216 0.00014011549 6.368886e-05 3.396739e-05 1.2737772e-05 8.491848e-05 3.396739e-05 2.5475543e-05 5.519701e-05 0.02300017 0.0047129756 0.0050484035 0.0008831522 0.004521909 0.001842731 0.005027174 0.003961447 0.005027174 0.00065387227 0.0017493207 0.00014860733 0.0013841712 0.00013162364 0.0006878397 0.0020889945 0.04017493 0.007965353 0.009307065 0.0025985055 0.009481148 0.005294667 0.006700068 0.0056046196 0.0096637225 0.0022418478 0.003736413 0.0013629416 0.0023097827 0.0012440557 0.001392663 0.003965693 0.05885275 0.017480468 0.025225034 0.0052182404 0.020639436 0.010050102 0.0067977244 0.0046577784 0.02204059 0.0045813518 0.008878227 0.0032523777 0.004636549 0.0016516644 0.0032566236 0.00278108 0.011744225 0.0014521059 0.0031504754 0.0021356996 0.0038722826 0.0030061142 0.0010572351 0.0044964333 0.0095321 0.0016346807 0.0010742188 0.0021866509 0.002454144 0.0017493207 0.0020465353 0.009277344 0.03761464 0.009230639 0.011680537 0.011884341 0.015111243 0.014007303 0.0047257133 0.020902684 0.03916865 0.0049337638 0.007018512 0.008300781 0.013361922 0.010563859 0.0110733695 0.023900306 0.018299932 0.030723505 0.009065048 0.020715863 0.011315388 0.012058424 0.016970959 0.0203125 0.022826087 0.01417714 0.009757133 0.0153957205 0.01792629 0.013752547 0.032294497 0.012669837 428.0 9.96729 4266.0 0.02601969 0.004219409 0.0023441163 0.0009376465 0.0053914674 0.0028129395 0.00046882324 0.00070323487 0.003750586 0.0021097045 0.00070323487 0.0028129395 0.0016408814 0.0009376465 0.006797937 0.0009376465 0.004219409 0.0016408814 0.012189405 0.002578528 0.0035161744 0.00070323487 0.00070323487 0.00023441162 0.0009376465 0.0049226442 0.0 0.0030473513 0.0009376465 0.01570558 0.0058602905 0.00070323487 0.01148617 0.023441162 0.008907642 0.017112048 0.01429911 0.01148617 0.0201594 0.01570558 0.0053914674 0.009610876 0.0021097045 0.0023441163 0.012423816 0.005625879 0.0032817628 0.007032349 0.0098452885 0.0014064697 0.00867323 0.016408814 0.007969995 0.0039849975 0.004219409 0.010548524 0.001875293 0.0 0.0014064697 0.0014064697 0.00070323487 0.00046882324 0.0016408814 0.0011720582 0.0035161744 0.038443506 0.007032349 0.025082044 0.022737928 0.10712612 0.005625879 0.010314112 0.008907642 0.044538207 0.0016408814 0.003750586 0.03774027 0.013127051 0.0403188 0.035396155 0.015471167 0.0009376465 0.055555556 0.02883263 0.07008908 0.011954993 0.004219409 0.016174402 0.010782935 0.010314112 0.001875293 0.00070323487 0.0009376465 0.00070323487 0.0 0.0035161744 5.5047464 0.0 0.0 0.0 3.0 119296.0 524288.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1314672300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 13824.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13824.0 0.0 485376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.427838 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.185473 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.336823 0.0 7.0951133 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1668.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5156.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13740.0 0.0 485364.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 20800.0 485364.0 32768.0 0.0 0.0 0.0 0.0 312.0 520192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 20728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0