Input: 0.120659724 0.0109471455 0.0065827547 0.0048466437 0.020447532 0.003689236 0.0042197146 0.005425347 0.018277392 0.0018807871 0.0022665896 0.0016155478 0.01326196 0.00236304 0.0017602238 0.010874807 0.0107542435 0.0010609567 0.0010368441 0.0018807871 0.006293403 0.009548611 0.001470872 0.0007233796 0.0027970679 0.0005787037 0.00055459107 0.00060281635 0.00236304 0.0005787037 0.0007233796 0.0012056327 0.002917631 0.0007233796 0.00043402778 0.00053047837 0.0028935184 0.0007233796 0.0004099151 0.00060281635 0.0014226466 0.00050636573 0.00028935185 0.0023148148 0.0010609567 0.00053047837 0.0004822531 0.00028935185 0.002435378 0.0005787037 0.0007957176 0.010199653 0.00086805556 0.001326196 0.0005787037 0.00094039354 0.0021942516 0.0021460261 0.00043402778 0.005256559 0.0013503087 0.0022665896 0.0003134645 0.0004099151 0.0037133489 0.0028211805 0.0014467592 0.002507716 0.01936246 0.021195022 0.007233796 0.0026041667 0.0018566744 0.0007957176 0.00069926697 0.0009645062 0.0013744213 0.0069444445 0.0019048997 0.0013744213 0.0146604935 0.00699267 0.0020978008 0.0049672066 0.0019772376 0.008969908 0.009813851 0.006703318 0.001253858 0.009500386 0.00050636573 0.00272473 0.00053047837 0.0075713736 0.006896219 0.004484954 0.0007957176 0.0007474923 0.00060281635 0.0008439429 0.0044367285 0.002025463 0.004050926 0.0012297453 0.008101852 0.00033757716 0.010320216 0.0007233796 0.0008198302 0.00033757716 0.00021701389 0.0003134645 0.0009886188 0.0005787037 0.0017843364 0.001470872 0.013792438 0.014998071 0.0011091821 0.0023389275 0.0015190972 0.0005787037 0.00028935185 0.0005787037 0.0014467592 0.0033275464 0.0014949846 0.0015914352 0.0034481096 0.0012056327 0.00021701389 0.017409336 0.0034481096 0.01707176 0.00016878858 0.0007957176 0.0011332948 0.018229166 0.0006510417 0.061197918 0.0010850695 0.014202354 0.0005787037 0.00053047837 0.00069926697 0.00043402778 0.00024112655 0.00028935185 0.00094039354 0.00038580247 0.00012056327 0.0003616898 0.00038580247 0.00033757716 0.0004822531 0.00012056327 0.00055459107 0.0004099151 0.00014467593 0.00014467593 0.00069926697 0.0038821374 0.00012056327 0.0023871528 0.00026523918 0.00086805556 7.233796e-05 0.00016878858 0.0006510417 0.00012056327 0.00016878858 0.00033757716 0.00019290124 9.645062e-05 0.00019290124 0.00014467593 0.0036651234 0.00055459107 0.00060281635 0.00086805556 0.0021460261 0.000626929 0.0014949846 0.0020013503 0.0043643904 0.0015914352 0.00038580247 0.000626929 0.0007474923 0.0006751543 0.0014467592 0.0005787037 0.014033564 0.0049189813 0.0087770065 0.0071373456 0.007257909 0.0026041667 0.004750193 0.008005401 0.003206983 0.00426794 0.0013020834 0.001808449 0.0038097994 0.002025463 0.0029658566 0.002242477 0.0019290124 0.0024836033 0.0024594907 0.00091628084 0.001326196 0.0006510417 0.0013985339 0.0017843364 0.00236304 0.001326196 0.00069926697 0.0022907022 0.00118152 0.00038580247 0.0003134645 0.00028935185 0.0024836033 0.00045814042 0.00019290124 0.00016878858 0.0027729552 0.0028211805 0.00014467593 0.00019290124 0.018229166 0.0020495756 0.0003616898 0.007957176 0.009596837 0.0003134645 0.00021701389 0.0004822531 0.006196952 0.0028694058 0.00053047837 0.00060281635 0.0041956017 0.0007474923 0.005859375 0.001253858 0.005497685 0.0027006173 0.0016396604 0.00069926697 0.007257909 0.0023148148 0.002652392 0.05570023 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012319712 0.00047576122 0.0005383614 0.00020032052 0.0018028846 0.00096404244 0.0018780048 0.0003505609 0.00048828125 0.00016276042 0.0005258414 0.0014523237 0.0020282452 0.0006510417 0.0009390024 0.0008638822 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14697266 0.030373598 0.009615385 0.021634616 0.05139473 0.063464046 0.023487581 0.030448718 0.09791917 0.0035932492 0.0062975762 0.013559194 0.054099057 0.013721955 0.0321264 0.067958735 0.064540766 0.0120442705 0.0060471753 0.010679588 0.024138622 0.02696815 0.010604467 0.017352764 0.044245794 0.0021534455 0.0034430088 0.0072490987 0.02405098 0.0070487782 0.01588792 0.03123748 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 6.1 366.0 0.024590164 0.0027322404 0.0 0.0 0.008196721 0.0 0.0027322404 0.0027322404 0.0054644807 0.0 0.0 0.010928961 0.0027322404 0.0 0.016393442 0.0 0.057377048 0.0 0.0054644807 0.0027322404 0.0027322404 0.0027322404 0.0027322404 0.0027322404 0.013661202 0.010928961 0.0054644807 0.013661202 0.0 0.0 0.0 0.0027322404 0.0054644807 0.008196721 0.0 0.016393442 0.0054644807 0.0 0.0027322404 0.0 0.0 0.0 0.0 0.0 0.0027322404 0.0 0.0 0.0027322404 0.07103825 0.114754096 0.013661202 0.06284153 0.0054644807 0.0027322404 0.06557377 0.06010929 0.0027322404 0.0027322404 0.0027322404 0.0054644807 0.0 0.0054644807 0.010928961 0.008196721 0.0027322404 0.016393442 0.019125683 0.016393442 0.013661202 0.013661202 0.0054644807 0.0027322404 0.04644809 0.010928961 0.030054646 0.0 0.0054644807 0.0054644807 0.010928961 0.010928961 0.0027322404 0.0054644807 0.019125683 0.010928961 0.027322404 0.019125683 0.0027322404 0.013661202 0.0054644807 0.0 0.0 0.0 0.0 0.0 0.0 0.0054644807 5.206079 0.0 0.0 0.0 1.0 41472.0 483328.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1538010900.0 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 13.0 6.0 1.0 6.0 1.0 305664.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -22528.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 58368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -305664.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.519169 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22436.0 0.0 0.0 0.0 -300.0 0.0 0.0 0.0 0.0 58296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -75548.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -305349.0 0.0 2856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 450560.0 2856.0 454656.0 0.0 0.0 16152.0 398336.0 22436.0 458752.0 84.0 369204.0 0.0 0.0 0.0 0.0 24.0 339928.0 64.0 313720.0 0.0 0.0 1412.0 311328.0 128.0 355968.0 0.0 0.0


Input: 0.25492144 0.020899542 0.004182115 0.003520039 0.008375265 0.0034648657 0.0020634711 0.002791755 0.009611141 0.00237244 0.0019310558 0.0019420903 0.0069076624 0.00237244 0.0014344986 0.0037628002 0.034306586 0.004358669 0.0012469103 0.0012138064 0.0030565856 0.0043917727 0.001368291 0.0012689795 0.0031890008 0.0018317443 0.001004149 0.0006069032 0.0013131179 0.0006731109 0.0009820798 0.0010813912 0.0032993467 0.0006400071 0.0028579626 0.0006069032 0.0035752119 0.0037738348 0.0006841455 0.00090483757 0.0015007062 0.0005958686 0.00047448798 0.0013793255 0.0015779485 0.004800053 0.0019862289 0.0006510417 0.0052524717 0.0034538312 0.0032993467 0.007845604 0.0030234817 0.0027255474 0.0038841807 0.0029903778 0.003983492 0.002846928 0.0017986406 0.00292417 0.0030786546 0.0030786546 0.002791755 0.003928319 0.005484198 0.0033986582 0.0022951977 0.002846928 0.0024165784 0.007900777 0.0029903778 0.00096001057 0.0023614054 0.0017655367 0.0014455332 0.0013351871 0.0028027894 0.0053738523 0.0012248411 0.0033986582 0.008673199 0.0023945093 0.0021848518 0.0034096928 0.0035641773 0.0038841807 0.0043917727 0.005473164 0.0017876059 0.0042041843 0.0014676024 0.0013131179 0.0012910487 0.0041269423 0.0019641595 0.0021848518 0.001059322 0.005164195 0.0011586335 0.0026924436 0.0044800495 0.0094787255 0.002151748 0.0013020834 0.004579361 0.0038290077 0.004546257 0.0011144951 0.00503178 0.0022179554 0.0048993644 0.0032772776 0.0030345162 0.0006841455 0.005329714 0.0043365997 0.010240113 0.009335276 0.0015558793 0.001588983 0.0024938206 0.0020745057 0.0010151836 0.0005737994 0.0011807027 0.0020745057 0.0010151836 0.0005958686 0.0060028248 0.001169668 0.00081656076 0.0060138595 0.002703478 0.008816649 0.00035310735 0.00019862287 0.0018317443 0.0070952508 0.00080552616 0.021958863 0.0027696858 0.009942179 0.0003089689 0.00041931498 0.0011255296 0.00034207274 0.00037517655 0.0012027719 0.00097104517 0.0005406956 0.0002758651 0.00022069209 0.0011586335 0.00023172669 0.0002758651 0.00020965749 0.0011475988 0.000529661 0.0005517302 0.0003089689 0.0011917372 0.0017103637 0.00081656076 0.0013351871 0.001169668 0.00083862996 0.0005075918 0.0005406956 0.0012469103 0.00092690677 0.0018096751 0.0006731109 0.0012469103 0.0006289725 0.0005627648 0.0005517302 0.0016441561 0.0004965572 0.0014455332 0.00035310735 0.0010482874 0.001588983 0.0006951801 0.0005075918 0.003520039 0.00087173376 0.0007613877 0.0007834569 0.0014565678 0.00088276836 0.00082759536 0.0010372528 0.011685646 0.003961423 0.004402807 0.005053849 0.0024938206 0.00097104517 0.0028579626 0.0026703742 0.003321416 0.0018207098 0.000584834 0.0006951801 0.0018869174 0.0017103637 0.0019751943 0.0011365643 0.003177966 0.00083862996 0.0006951801 0.001423464 0.0022951977 0.00084966456 0.001059322 0.0016882945 0.0022731286 0.000584834 0.0006731109 0.0011365643 0.0018096751 0.0005958686 0.0010482874 0.00032000354 0.0024496822 0.00087173376 0.0005186264 0.00088276836 0.0022731286 0.0010372528 0.0007282839 0.0007724223 0.014013948 0.00431453 0.0010262182 0.0036193503 0.0056828214 0.0005186264 0.0023834745 0.0009931144 0.0034427966 0.0017765714 0.0007172493 0.0006400071 0.0021848518 0.0005737994 0.003343485 0.0007944915 0.0028138242 0.0010151836 0.000584834 0.0012248411 0.0058152364 0.0016772599 0.002846928 0.063327596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009771237 3.367457e-05 6.734914e-05 0.00016276042 0.000275009 0.00015153555 0.0005949174 0.0001795977 0.00011786099 3.367457e-05 2.806214e-05 1.6837284e-05 1.1224856e-05 1.1224856e-05 3.367457e-05 5.612428e-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 0.016197467 0.0009933998 0.0006398168 0.00019643498 0.0012291218 0.0004377694 0.0008867636 0.00040409484 3.9287e-05 0.0002413344 0.00038725755 2.806214e-05 6.734914e-05 3.367457e-05 3.9287e-05 0.001167385 0.029936692 0.0039006376 0.0016612788 0.00015153555 0.0012796336 0.0009428879 0.0015378053 0.0011505478 0.0001403107 0.0005724677 0.0008979885 0.00011786099 0.00016837285 0.00016837285 0.0002413344 0.0031092851 0.032630656 0.0030643858 0.0024245689 0.0005387931 0.0013862698 0.0010046246 0.007352281 0.0039904364 0.00029184626 0.0004546067 0.0004602191 0.0002974587 0.0004938937 0.0004209321 0.000628592 0.002031699 0.04076868 0.0036087914 0.0031205101 0.0016668912 0.0040465607 0.0029858118 0.008727326 0.005163434 0.0004602191 0.0004209321 0.0009990123 0.0003816451 0.0004209321 0.0010888111 0.00047144396 0.0061287717 0.047183685 0.0059098867 0.0038501257 0.0036031788 0.0077956626 0.0037940014 0.010231457 0.0059828483 0.00083625177 0.0006510417 0.0010944235 0.00081380206 0.00080257724 0.0024863058 0.0019082256 0.0065048044 0.021557337 0.0035189926 0.0022842584 0.025480423 0.0042542205 0.003210309 0.0069650235 0.003984824 0.0039567617 0.0018857758 0.002228134 0.00254243 0.0029016254 0.0020429238 0.002632229 0.0025087553 0.024762033 0.0061287717 0.0018577137 0.005460893 0.004562904 0.0028398887 0.0064150053 0.004445043 0.002581717 0.0010214619 0.0013525952 0.0013582077 0.0022337465 0.0016163794 0.0011337105 0.0011954472 0.08590944 0.026384024 0.009412042 0.01114067 0.01729189 0.029880568 0.011370779 0.016725035 0.051005747 0.0025592672 0.005533854 0.0082671065 0.030194864 0.009075296 0.0283596 0.059188668 0.019480739 0.008059447 0.0034235811 0.0038052262 0.0054833423 0.0071502333 0.0029521373 0.0049220994 0.011920798 0.0011112607 0.0020485362 0.0032327587 0.009080909 0.0029858118 0.006083872 0.011707525 0.0015321929 0.00097095006 0.0006398168 0.0004546067 0.00067910383 0.0004209321 0.00044899425 0.0005051185 0.0007408405 0.00024694685 0.0006959411 0.0008194145 0.0013076958 0.0005612428 0.0009653376 0.0005051185 527.0 16.172676 8523.0 0.013492902 0.00093863666 0.0026985803 0.0 0.01126364 0.00082130707 0.00082130707 0.0037545466 0.003637217 0.00046931833 0.0010559662 0.0007039775 0.0029332396 0.006687786 0.015722163 0.0023465916 0.020415347 0.015487504 0.012788924 0.012906253 0.013492902 0.009503696 0.009855685 0.012084947 0.014314208 0.00844773 0.006687786 0.0063357973 0.012788924 0.011732958 0.009151707 0.020298017 0.027103133 0.020415347 0.0059838085 0.020767335 0.013258242 0.009973014 0.0075090933 0.0035198873 0.009855685 0.009973014 0.0005866479 0.003050569 0.013610231 0.0051625012 0.0032852283 0.003871876 0.006101138 0.0035198873 0.009738355 0.013375572 0.018068755 0.005279831 0.0090343775 0.0069224453 0.00563182 0.0016426141 0.003050569 0.00082130707 0.0051625012 0.00082130707 0.0012906253 0.0126715945 0.0039892057 0.03660683 0.006218468 0.020650005 0.01935938 0.06898979 0.004693183 0.008095741 0.007274434 0.028511088 0.003637217 0.0016426141 0.03402558 0.013610231 0.023817904 0.0249912 0.015839493 0.0011732958 0.037076145 0.023935234 0.04446791 0.009738355 0.0070397747 0.0035198873 0.009386366 0.007274434 0.0018772733 0.0011732958 0.0032852283 0.00093863666 0.0016426141 0.00082130707 5.9582977 1.0 1.0 7.0 6.0 90624.0 114688.0 1.0 9.0 113.0 1.0 1.0 0.0 1.0 0.0 1541657200.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 41984.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33792.0 0.0 0.0 0.0 0.0 0.0 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 -42496.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.5472813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2321057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.285567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.8693495 0.0 4.6371975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -5464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33298.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41655.0 0.0 4744.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 -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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 500.0 78608.0 240.0 79108.0 4744.0 98304.0 0.0 0.0 0.0 0.0 5464.0 106496.0 84.0 69008.0 0.0 0.0 0.0 0.0 24.0 69188.0 64.0 69096.0 0.0 0.0 956.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.020750431 0.008432335 0.0038457722 0.0033881867 0.0037002366 0.0033385823 0.0035505488 0.0033846905 0.0035267298 0.0033302784 0.0032688736 0.003408291 0.0037952936 0.0030584368 0.0035457413 0.0033905904 0.0027219125 0.0023698732 0.0024690824 0.0021371471 0.0025057942 0.002686949 0.0028912672 0.0034863031 0.0028818708 0.0031467197 0.0033224116 0.0038521094 0.0035197372 0.0039065215 0.003996334 0.0030005283 0.0026377814 0.0032153358 0.0032662514 0.002465586 0.003189987 0.0021034947 0.002643026 0.002304098 0.0022461896 0.0029786762 0.0032846073 0.0036997995 0.0053603495 0.0034574582 0.005824491 0.00362135 0.0023069389 0.0023827662 0.0031161266 0.0024937754 0.0031985096 0.0032472399 0.0040977285 0.0035197372 0.0035894457 0.003955689 0.008934062 0.003559071 0.0034174689 0.004138592 0.004240642 0.0033138893 0.002898697 0.008551867 0.0043656365 0.0034428174 0.002543817 0.0037843676 0.0045220987 0.0032745553 0.0027638688 0.0034533064 0.0030059915 0.0036451689 0.0032872295 0.0038794247 0.008167268 0.0029786762 0.0032240767 0.002716231 0.0028624223 0.002351299 0.002710331 0.0037192479 0.0036303094 0.0028582704 0.0075267786 0.0040090084 0.0037087589 0.0029072193 0.002538791 0.003345138 0.004007697 0.003803379 0.0027118605 0.0026753673 0.002937157 0.0027363352 0.002313713 0.002928853 0.0047801733 0.0020672202 0.0033639309 0.008346893 0.0038982176 0.0038448982 0.004311006 0.00298108 0.0032889778 0.0033704864 0.0021607475 0.0023963144 0.0037612042 0.0022658568 0.003597968 0.003857354 0.0038186754 0.0028814338 0.009581106 0.003700455 0.008950451 0.0030818186 0.0030724222 0.0041676555 0.0036617767 0.0035090295 0.0032135874 0.0028292069 0.003823483 0.0033783533 0.0031038893 0.0038094977 0.0026688117 0.0040317345 0.0034834624 0.003639706 0.0036834104 0.0057820976 0.0044314116 0.009135758 0.0038776766 0.005506104 0.0022645455 0.0022169077 0.002701153 0.0028368554 0.0027437648 0.0023469285 0.0040037637 0.0032266988 0.003459425 0.013434963 0.0044692163 0.0042297156 0.0042489455 0.0028294255 0.0044196118 0.0030241287 0.004021901 0.0026587597 0.0039563444 0.0024334632 0.002791184 0.0027830987 0.0028997897 0.0033558456 0.002877719 0.0027973028 0.003223421 0.002889082 0.0039303405 0.0048230034 0.0036088943 0.007026363 0.0034019537 0.003454836 0.0025486245 0.0023589472 0.0033685197 0.0024760752 0.003512526 0.0026100292 0.008739577 0.009292657 0.009436663 0.0036989253 0.0040675723 0.0032170839 0.0052506514 0.002906564 0.0034609546 0.0027013714 0.0029579166 0.0027516317 0.0032347841 0.0035026923 0.003187365 0.0027463872 0.006822919 0.0029734317 0.0062071234 0.0040044193 0.0041361884 0.003538967 0.0039205067 0.0042187897 0.007071597 0.002671871 0.002918801 0.002771954 0.0031307677 0.0026196442 0.003318041 0.002489405 0.0036536912 0.0038551688 0.004237364 0.008217964 0.004113462 0.0047567915 0.0043099136 0.0045531285 0.0028803411 0.00721604 0.0027383016 0.0035068444 0.0023646287 0.002163807 0.0025962624 0.003999175 0.004837863 0.0035149297 0.0042316825 0.0036670212 0.0043016095 0.0034002054 0.0035748046 0.0038647838 0.0024813197 0.0026454297 0.002962724 0.0027955545 0.002617896 0.0023807995 0.004906916 0.0031233379 0.008865665 0.009967453 0.009512927 0.008877465 0.0039124214 0.0032922556 0.004364107 0.008184531 0.0022361248 1.0930854e-07 0.0 0.0 4.3723415e-07 0.0 2.1861707e-07 0.0 2.1861707e-07 0.0 0.0 0.0 0.0 0.0 0.0 1.5303195e-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 0.00041537246 5.1375014e-06 4.3723417e-06 9.837769e-07 3.1699476e-06 4.3723415e-07 1.3117025e-06 8.744683e-07 6.4492037e-06 8.744683e-07 1.0930854e-06 1.202394e-06 5.465427e-07 6.5585124e-07 1.0930854e-06 4.1537246e-06 0.00039525967 7.323672e-06 6.667821e-06 5.465427e-07 5.902661e-06 2.623405e-06 6.339895e-06 5.465427e-06 3.9351075e-06 4.044416e-06 1.8582452e-06 1.421011e-06 1.5303195e-06 3.1699476e-06 4.3723415e-07 1.202394e-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 0.00034924078 2.0768623e-06 1.5303195e-06 1.3117025e-06 1.8473143e-05 7.323672e-06 2.842022e-05 1.6286973e-05 2.2954794e-06 8.088832e-06 1.8582452e-06 5.465427e-07 1.7489366e-06 2.2954794e-06 1.7489366e-06 4.48165e-06 0.00014428727 0.0 2.470373e-05 9.291226e-06 1.7489366e-06 1.6396281e-06 2.7982986e-05 1.3991493e-05 0.0 1.0930854e-07 0.0 0.0 0.0 0.0 1.0930854e-07 0.0 0.00058950094 1.6396281e-05 1.9347612e-05 5.24681e-06 6.0994167e-05 9.509843e-06 3.596251e-05 4.2411713e-05 3.2792561e-06 2.317341e-05 1.1368088e-05 3.4978732e-06 4.5909587e-06 3.6071817e-06 2.1861708e-06 6.438273e-05 0.0013734618 3.4869423e-05 0.00011849046 4.1646555e-05 9.608221e-05 4.5253735e-05 0.00014745722 0.0001292027 3.235533e-05 2.7545751e-05 2.2736176e-05 1.6286973e-05 2.2954793e-05 1.3007716e-05 1.8801069e-05 9.8487e-05 0.00044346476 7.334603e-05 5.1921557e-05 2.2298942e-05 0.00013302849 6.853646e-05 0.00036596498 0.0002726155 4.0116236e-05 2.4813038e-05 8.744683e-06 2.2626868e-05 2.5140964e-05 1.1805322e-05 0.00013073301 0.00031961818 0.0003713211 4.120932e-05 0.00014669207 4.798645e-05 0.00013565189 7.509497e-05 0.00032781632 0.00023370166 8.83213e-05 2.7873677e-05 1.1368088e-05 1.4647344e-05 2.393857e-05 2.2189633e-05 0.00016319765 0.00028376497 0.0005954036 0.000129312 0.00012209764 8.547928e-05 0.00010810615 5.2796026e-05 0.00015816945 0.00023457613 9.105401e-05 4.2848947e-05 2.2189633e-05 5.1484323e-05 7.323672e-05 3.0278467e-05 0.00024911415 0.00041635623 0.00025906123 6.9192305e-05 0.00031983678 0.00014833169 8.252795e-05 0.0001932575 7.15971e-05 0.0005258834 0.00031929024 8.198141e-05 0.00083008903 0.00047909934 0.0007870215 0.00043723415 0.00014057079 0.00018003117 0.0062106927 0.0011782368 0.0013016461 0.0015600515 0.0027423326 0.002696095 0.0013254754 0.0032396866 0.0046153343 0.0012836102 0.0027365393 0.0024907044 0.0034358953 0.0025595687 0.002086263 0.0041913264 0.0051953257 0.0013767411 0.0018101494 0.0019723633 0.0027879144 0.002689318 0.0020529237 0.003793225 0.0047332784 0.0022843299 0.0038184752 0.0031338758 0.0039778473 0.00446427 0.002451244 0.00472355 0.059057657 0.045958668 0.048366625 0.055626787 0.0583947 0.05007938 0.05200638 0.05596193 0.056472182 0.05864742 0.048616614 0.064136565 0.052016217 0.057144318 0.053623382 0.07061605 19166.0 5.987582 114758.0 0.008940553 0.010726921 0.021479985 0.011450182 0.008295718 0.0062915003 0.007345893 0.006404782 0.005550811 0.0062392163 0.008975409 0.01216473 0.008530996 0.01043936 0.01625159 0.009384966 0.0069189076 0.0063699265 0.008635564 0.008696562 0.0070147617 0.008591994 0.010570069 0.020652154 0.009646386 0.013541539 0.023336064 0.012452291 0.008130152 0.008748845 0.010543928 0.008156294 0.008400286 0.021784974 0.009306541 0.0136112515 0.00827829 0.0087139895 0.009402394 0.008583279 0.008339288 0.009010265 0.007276181 0.008287004 0.00880113 0.008591994 0.014029523 0.0071367575 0.02107914 0.006744628 0.008008156 0.008400286 0.007476603 0.008156294 0.008469998 0.008914411 0.013166838 0.010413217 0.00819115 0.0128967045 0.0079733 0.007868732 0.010927343 0.023449346 0.011075481 0.009689956 0.008086583 0.010073372 0.007990728 0.018778646 0.011066766 0.006666202 0.011981736 0.017166559 0.008339288 0.008591994 0.013027414 0.0076421686 0.013959811 0.012086303 0.006849196 0.0060736504 0.015589328 0.011624462 0.01625159 0.008557138 0.010430645 0.008095296 0.010979626 0.010151798 0.011415326 0.0068753376 0.007180327 0.008417713 0.014909636 0.008208578 6.4939027 2.0 2.0 0.0 44.0 4576194.0 266240.0 0.0 0.0 262.0 0.0 1.0 0.0 0.0 0.0 1082411400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 159744.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159744.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.382737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.211973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5732617 0.0 6.681314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159414.0 0.0 38794.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -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 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 -2.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 -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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 200.0 177120.0 38794.0 225280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1084.0 163840.0 0.0 0.0 0.0 0.0


Input: 0.2518243 0.02264955 0.021306422 0.013518082 0.0094437245 0.00711642 0.0036168343 0.0044844723 0.013047058 0.003445479 0.0037241343 0.0025516502 0.0036881985 0.0023855737 0.004037812 0.007887316 0.007002725 0.0022661935 0.0013337894 0.0053527197 0.0024940919 0.0023351214 0.0013544983 0.0008778911 0.004232109 0.0012214137 0.0011651751 0.00088124105 0.0011629418 0.0010045803 0.0012115669 0.0008343417 0.007113375 0.0011715705 0.00085180206 0.0009306783 0.02868698 0.0016052373 0.0007511004 0.0008155617 0.0051051276 0.00242892 0.0029356768 0.00064440945 0.001363939 0.0012711554 0.010288827 0.00594221 0.0039978153 0.00267905 0.0021067152 0.0013799783 0.0018926228 0.0013014065 0.0013033353 0.0010407192 0.0027520384 0.0019115043 0.0008261191 0.0019183058 0.001082746 0.00077647885 0.00086794276 0.001013209 0.003868284 0.0035856694 0.0013471893 0.0022043716 0.010026617 0.002325782 0.0015909239 0.0013315561 0.04424224 0.0025746939 0.0008556596 0.00092763285 0.0066648866 0.0014284003 0.0013493211 0.0011751234 0.0035681077 0.0008189116 0.001551232 0.0022012247 0.0035710514 0.0010862988 0.0008230737 0.0015237217 0.0019010485 0.00087433815 0.000998794 0.001171672 0.0016763984 0.0011692357 0.0009788973 0.0023758283 0.0025847438 0.010486068 0.0021356468 0.008330829 0.0054285508 0.019152502 0.0037301236 0.0043955464 0.005292827 0.010092804 0.0007207478 0.0017259371 0.009297748 0.0055763545 0.012151503 0.009817093 0.0095187435 0.00085088843 0.013354644 0.009167708 0.020766165 0.0060422015 0.0022939066 0.0019517038 0.0033556393 0.003308943 0.00084195525 0.00089464086 0.0015081902 0.001116956 0.0040996335 0.0013702329 0.003242756 0.0014525605 0.0022050822 0.0031562662 0.005149997 0.003124594 0.0009569703 0.0010266087 0.002138083 0.016331537 0.0004952857 0.017282518 0.0018236949 0.0053998223 0.0004942706 0.000641161 0.002048954 0.0029418692 0.00044899542 0.00043021538 0.0012813068 0.0005130506 0.00046483157 0.0004474727 0.0010375723 0.00047417084 0.00040575056 0.0005217808 0.0026851408 0.00042331245 0.00048828125 0.0007127282 0.0025416003 0.000943469 0.00043173807 0.0004865555 0.00044422428 0.00043853952 0.00044402125 0.00039691885 0.0010583826 0.0004657452 0.00051700964 0.00039011744 0.0010674173 0.00039783248 0.00040493844 0.0006769954 0.0015434154 0.0004664558 0.0004193534 0.00046665882 0.00076318055 0.00038077816 0.0013067868 0.0006233961 0.0012797841 0.0006129402 0.00056502566 0.00043326078 0.0007640942 0.0004664558 0.0005129491 0.0005313231 0.0038178314 0.0016201598 0.0008156632 0.002049766 0.0020208347 0.00051650207 0.0009309828 0.0022128988 0.0013567316 0.0012773478 0.0006790256 0.0005999464 0.0064467336 0.00045376658 0.00050097046 0.0006250203 0.0019275435 0.0008267282 0.001061631 0.0006544593 0.0004913267 0.00048087075 0.00058390724 0.0007338431 0.0016310218 0.00082804787 0.0006418716 0.0008613444 0.0006384201 0.00045671046 0.00058624207 0.000685624 0.0018832835 0.00072866585 0.00056126964 0.00063669437 0.0006061387 0.00053903816 0.00058482087 0.00052980037 0.005654622 0.002303449 0.0005470577 0.0016930468 0.001105282 0.0004481833 0.00046919668 0.00074044144 0.0018290752 0.0006251218 0.00062258396 0.0006517184 0.00042554573 0.0005315261 0.00077576825 0.00088256074 0.0013752071 0.0011840566 0.0012273015 0.0008591111 0.0008022633 0.00086296856 0.0015683878 0.013880689 0.002975018 1.1776822e-05 3.705638e-06 9.8478595e-06 8.6295677e-07 9.1371896e-07 1.4721028e-06 1.7259135e-06 6.0914595e-06 1.1675297e-06 8.121946e-07 5.0762164e-08 7.106703e-07 1.0152433e-07 1.5228649e-07 4.5685948e-07 0.0028982656 3.2335498e-05 1.2233681e-05 1.9644956e-05 4.5178326e-06 3.2487785e-06 9.086427e-06 6.548319e-06 9.137189e-06 3.5533515e-06 2.5888703e-06 1.7766757e-06 2.9949676e-06 2.3350594e-06 1.8274379e-06 4.7716435e-06 0.003055933 4.929006e-05 1.710685e-05 1.5127125e-05 2.157392e-05 1.7005324e-05 1.7157612e-05 1.1675297e-05 3.1015683e-05 3.0914158e-05 1.4111882e-05 5.0254544e-06 9.441763e-06 5.3300273e-06 1.807133e-05 7.969659e-06 0.0046048895 0.00014071271 5.705667e-05 3.8173148e-05 3.2437023e-05 3.279236e-05 3.3655313e-05 2.7766904e-05 5.1269784e-05 4.2538693e-05 3.0406536e-05 1.781752e-05 2.2233828e-05 1.8731238e-05 2.3908979e-05 2.3655168e-05 0.011210722 0.00023249071 0.00016441864 0.00018345445 0.00013878375 0.00013086486 0.00013096638 0.000117514406 0.0002107645 0.00011766669 0.00010654978 0.00010167661 0.00013396135 9.8478595e-05 9.746335e-05 0.0001312202 0.019066371 0.00040894 0.00032543624 0.00030350697 0.0003522894 0.00024548583 0.00030772024 0.0004216813 0.00063335954 0.00026370943 0.00031563913 0.00019883539 0.00023528263 0.00031442085 0.00021898797 0.00019538356 0.040113173 0.0013129633 0.0015825612 0.0009805727 0.0008552409 0.0006368621 0.0024487667 0.0026057742 0.0010472235 0.0004478238 0.0010992547 0.0004659459 0.00053264736 0.0007150358 0.0006234609 0.0005676225 0.025047168 0.00089625677 0.003606144 0.001314334 0.0016794155 0.0013514918 0.012806177 0.0077495547 0.0007057971 0.00045757013 0.0006886395 0.0004195493 0.00039010722 0.0004958448 0.00041031057 0.00061559275 0.023025565 0.0021285082 0.005064541 0.001965714 0.0023946543 0.002077137 0.01585277 0.0109709725 0.0005965062 0.00037340648 0.00048858585 0.00037548773 0.00037096988 0.00043457487 0.00041848328 0.0011406766 0.0455297 0.0051878933 0.0064904504 0.002833544 0.0041014813 0.0033404042 0.0201473 0.01451077 0.0017281979 0.0011657531 0.0010720461 0.0009426534 0.00094706967 0.0009970705 0.00090630766 0.0017533759 0.09279689 0.008692157 0.013206995 0.0060906475 0.0073148785 0.0060509513 0.040549017 0.027290348 0.0039597023 0.005446577 0.002290338 0.0022364287 0.0021118582 0.0020477457 0.0018871849 0.0018561186 0.021251833 0.002625622 0.0033085763 0.0018252551 0.0025330319 0.0019447493 0.008355909 0.0062466394 0.0015465708 0.0016151505 0.0008174231 0.0008182861 0.0007726001 0.0006626493 0.000727371 0.0008793022 0.028969206 0.0036581752 0.010604572 0.0029074028 0.016335772 0.0028528844 0.0029234944 0.0033335006 0.014337316 0.0017967267 0.0014113404 0.0016840348 0.0043061036 0.001811397 0.003084563 0.005399876 0.05351124 0.0091312 0.02714923 0.008063265 0.049210515 0.007423205 0.00712716 0.006924213 0.03964119 0.0034152276 0.0026345563 0.0036899017 0.015772413 0.0052703307 0.010340506 0.015172404 0.0005589422 0.00014081424 0.00022533325 0.00018883524 0.0004525447 0.00010492539 0.00012655008 0.00014477369 0.0003415786 6.852892e-05 5.416323e-05 9.7717166e-05 0.00023766844 0.00013548421 0.00019254089 0.00025634893 8.426519e-05 8.421443e-05 8.9950554e-05 0.00011193057 7.715849e-05 7.797068e-05 7.797068e-05 7.979812e-05 8.177784e-05 8.020422e-05 8.0051934e-05 8.15748e-05 8.020422e-05 8.1117934e-05 8.177784e-05 0.000101524325 80639.0 24.156004 1947916.0 0.013791663 0.00012320859 0.00031931562 0.00021356157 0.002550418 0.0012254122 0.00012680219 0.00014785031 0.007224131 0.0072405585 0.011831106 0.00014425673 0.0016982252 0.0017028454 0.048176102 0.025862511 0.0033384396 0.0043466967 0.006156323 0.0027947817 0.0027819474 0.00272445 0.0029985893 0.001839915 0.002377926 0.0027008352 0.0014579684 0.0032578406 0.00095640676 0.0003182889 0.00089993613 0.00036551885 0.00022998938 0.004672173 0.0023589313 0.006361671 0.0028183968 0.0043826327 0.0040766643 0.0010903961 0.003717306 0.003212151 0.00012731555 0.0013912304 0.0031808354 0.0022090275 0.0026951882 0.0015026316 0.0037660762 0.00026695197 0.0047825472 0.0075383126 0.0052112103 0.0021992736 0.0013414336 0.0022803857 0.0003660322 0.00020688777 0.0001848129 0.0032871028 0.00031572202 0.0033620547 4.15829e-05 0.0075675747 0.0002443637 0.046724293 0.007657928 0.035672482 0.0233891 0.0890254 0.012533908 0.019559365 0.018543407 0.04695377 0.00076800026 0.005720986 0.03276014 0.024061099 0.05624832 0.045721684 0.035451733 0.0017084925 0.058933754 0.037367627 0.093940906 0.022960436 0.0058062053 0.004146483 0.009072773 0.013031363 0.00085938 0.00096872763 0.0003578183 0.001018011 0.0002613049 9.240645e-05 5.1787977 1.0 1.0 7.0 13.0 9850880.0 10014720.0 0.0 0.0 32.0 0.0 0.0 0.0 0.0 11712.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 4.0 0.0 4.0 0.0 6173696.0 1536.0 4096.0 12.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -328192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -212992.0 0.0 0.0 0.0 1678336.0 0.0 0.0 0.0 121344.0 0.0 0.0 0.0 0.0 0.0 0.0 -555520.0 -245760.0 0.0 0.0 0.0 0.0 0.0 0.0 358400.0 0.0 -6173696.0 -1536.0 0.0 0.0 0.0 0.0 -173568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5644803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4859796 0.0 0.0 0.0 5.7409134 0.0 0.0 0.0 5.428311 0.0 0.0 0.0 0.0 0.0 0.0 -5.397837 -5.1061563 0.0 0.0 0.0 0.0 0.0 0.0 3.7251904 0.0 -5.88371 -8.622268 0.0 0.0 0.0 0.0 -6.962724 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -327812.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -212756.0 0.0 0.0 0.0 1678029.0 0.0 0.0 0.0 121074.0 0.0 0.0 0.0 0.0 0.0 0.0 -555025.0 -380088.0 0.0 0.0 0.0 0.0 0.0 0.0 358084.0 0.0 -6173638.0 -1064.0 0.0 0.0 0.0 0.0 -173301.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1022.0 9453568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 6180864.0 0.0 0.0 0.0 0.0


Input: 0.05662929 0.008294758 0.006167526 0.0056512374 0.005751598 0.0049580242 0.0042006634 0.0054174075 0.0050459695 0.005619163 0.003751627 0.0044644983 0.0049487124 0.0031773984 0.004318613 0.0046321107 0.0050387266 0.003757835 0.0049352623 0.004169624 0.0043548257 0.0031825716 0.0041065104 0.0038354334 0.005073905 0.0033398378 0.0031660174 0.0029290833 0.004141689 0.0034339905 0.0037930128 0.0037971514 0.006171664 0.0038281907 0.0034867576 0.00302634 0.004880426 0.004169624 0.0038447452 0.0037216223 0.0047272984 0.003889235 0.0033377686 0.003108077 0.00437138 0.0037185184 0.0037267955 0.003578841 0.0055136294 0.0039492445 0.0030915227 0.0028866627 0.0036740284 0.003082211 0.0026952534 0.00286597 0.004171693 0.0033222488 0.0035198661 0.0033563923 0.004012358 0.0032291308 0.0034991733 0.0034577874 0.0065979385 0.003959591 0.003628504 0.0032239575 0.0041572084 0.0032187842 0.0035364206 0.0030677258 0.005006653 0.00377232 0.0037029986 0.0035860837 0.0041365153 0.00312877 0.0035653906 0.0034753764 0.0051773693 0.003631608 0.0036512662 0.0033346645 0.0039275168 0.0033812237 0.0033584614 0.003546767 0.004655908 0.0036554048 0.0038054285 0.0035126237 0.004116857 0.0033853622 0.0036957562 0.0037950822 0.005909899 0.003634712 0.0033356992 0.002959088 0.004023739 0.0030501368 0.003277759 0.0030335826 0.0049642324 0.0031732598 0.0031980912 0.0030542754 0.0035757371 0.002842173 0.0030935921 0.0031939526 0.0045151957 0.0032974174 0.0032322346 0.003146359 0.0038819923 0.0033315606 0.0032850015 0.0036274695 0.0046269377 0.0032963827 0.0034774458 0.003170156 0.004028912 0.0031929181 0.0034743417 0.0033398378 0.0086424 0.0046021063 0.0040185656 0.0035281435 0.0043610334 0.0034464065 0.0030242708 0.0033936393 0.0045452006 0.0038426758 0.002959088 0.0031846408 0.0037247261 0.0027945794 0.0028452768 0.0029859887 0.005225998 0.0032115418 0.0035022772 0.0030315132 0.0036719593 0.0031918834 0.0033098331 0.0032674125 0.004538993 0.0028380344 0.0030387559 0.0027045652 0.003517797 0.0032312 0.0029901273 0.003146359 0.00501493 0.003418471 0.0032653434 0.0027997524 0.0037754239 0.003023236 0.0030532407 0.0031836063 0.004128238 0.0029921967 0.0031298047 0.003017028 0.003652301 0.0028369997 0.0029145982 0.0030335826 0.004664185 0.0031132502 0.0038375026 0.0028576928 0.003561252 0.0031587747 0.0029859887 0.0031246315 0.0042606727 0.0031484282 0.0033315606 0.0031711904 0.0036471277 0.0031991259 0.0033294912 0.0033460457 0.0067065763 0.0040578824 0.0037154143 0.003336734 0.004126169 0.0032591354 0.0032943133 0.0032343038 0.004331029 0.0033294912 0.0031132502 0.003076003 0.0036336773 0.0029828849 0.003082211 0.002800787 0.004258604 0.0032684472 0.0030915227 0.0029953006 0.0037112758 0.0030180628 0.0029352913 0.002941499 0.003973041 0.0031101464 0.0027231886 0.0026424862 0.003543663 0.0029435684 0.0035860837 0.0028814895 0.004950782 0.0032436156 0.003400882 0.0029704692 0.0038054285 0.0030718644 0.0031991259 0.0029021825 0.004450013 0.0054432736 0.003468134 0.0031277353 0.0037930128 0.0030811762 0.0032322346 0.003181537 0.004608314 0.0033181102 0.003418471 0.0030377212 0.0037433498 0.0030832456 0.0033150064 0.0032415465 0.0043558604 0.0030418597 0.0031856755 0.0028618313 0.004008219 0.0030946266 0.004219287 0.0045110574 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09915219 0.062004462 0.062454384 0.055331286 0.060634993 0.05959934 0.054983992 0.05449001 0.060500223 0.053187925 0.052145015 0.05294949 0.056405816 0.050538663 0.0566173 0.0538032 4042.0 5.7013855 23045.0 0.017140377 0.010674767 0.0094163595 0.008635279 0.013451942 0.012584074 0.011802994 0.011455847 0.012540681 0.009720113 0.008548492 0.008895639 0.013885875 0.010501193 0.011672814 0.0098502925 0.01666305 0.011933174 0.008678672 0.007463658 0.0098502925 0.008635279 0.007940985 0.008418312 0.010240833 0.008461705 0.009676719 0.008895639 0.011412454 0.008982426 0.009589933 0.009242786 0.018268606 0.010848341 0.010414407 0.008982426 0.0108049465 0.008808852 0.010761553 0.008288132 0.014233022 0.01162942 0.009763506 0.008982426 0.011499241 0.009286179 0.0117162075 0.009589933 0.014753743 0.00954654 0.0098936865 0.009069213 0.012063354 0.0094163595 0.009503146 0.0098502925 0.013712302 0.009199392 0.0104578 0.009503146 0.0111087 0.009763506 0.010414407 0.010631373 0.017921459 0.011021914 0.009633326 0.008201345 0.013061401 0.008201345 0.009329572 0.008288132 0.015361249 0.009242786 0.008852245 0.008635279 0.011325668 0.0080711655 0.01006726 0.007854198 0.013148189 0.007984378 0.008808852 0.008765459 0.011369061 0.009459753 0.008288132 0.008114559 0.011152093 0.008939032 0.011846388 0.008461705 0.011195487 0.008939032 0.010110653 0.008722066 6.5547724 0.0 0.0 0.0 14.0 966514.0 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: 0.056693226 0.008302052 0.0061734533 0.005645188 0.0057591274 0.004964658 0.0041940124 0.005418345 0.0050495947 0.0056192926 0.003743433 0.004463324 0.0049501564 0.0031644127 0.0043214173 0.0046394123 0.0050340574 0.0037620775 0.004936691 0.004166045 0.0043607783 0.0031809858 0.0041090753 0.003838728 0.0050765257 0.0033487878 0.0031695918 0.0029323904 0.0041411854 0.0034326885 0.0037807222 0.003799367 0.0061765607 0.003814904 0.0034865509 0.0030245779 0.004882829 0.004166045 0.0038366562 0.0037247883 0.0047264206 0.0038946618 0.0033322147 0.003096049 0.0043711364 0.0037227166 0.0037175375 0.0035797742 0.005516747 0.0039495598 0.003095013 0.0028878504 0.0036792124 0.003084655 0.0026920815 0.002867134 0.0041764034 0.003307355 0.0035248762 0.0033498234 0.004004458 0.003223454 0.0034958734 0.0034565125 0.0066022803 0.0039568106 0.0036180995 0.0032286332 0.004161902 0.0032162035 0.0035393776 0.003068082 0.0050019473 0.0037682925 0.0037051078 0.0035890967 0.0041422215 0.0031240159 0.0035683804 0.0034679063 0.005166642 0.0036243142 0.0036491738 0.0033280714 0.0039247004 0.0033777906 0.0033560384 0.0035393776 0.0046570213 0.003658496 0.0038066176 0.0035124463 0.0041142544 0.003379862 0.0036843915 0.0037972953 0.005908285 0.0036284577 0.003340501 0.0029551783 0.004017924 0.0030535806 0.00326903 0.0030380434 0.00497398 0.0031675203 0.0032006663 0.0030484016 0.0035828818 0.0028443462 0.0030908699 0.0031923796 0.0045088995 0.003290782 0.0032203468 0.0031333384 0.0038843036 0.0033280714 0.0032835314 0.003632601 0.0046269824 0.0032949254 0.0034772286 0.0031716635 0.00403864 0.0031944513 0.0034710139 0.0033446443 0.008642835 0.0046052304 0.004011709 0.0035269477 0.004366993 0.0034357961 0.003017327 0.0033891844 0.0045379023 0.0038407994 0.0029603573 0.0031882364 0.0037361823 0.0027977345 0.0028443462 0.0029800378 0.0052339695 0.0032172392 0.00349173 0.0030204346 0.0036667828 0.0031820217 0.00331357 0.0032762806 0.0045430814 0.0028422745 0.0030452942 0.0027045112 0.0035165895 0.00322449 0.0029831452 0.0031488754 0.0050102337 0.003414044 0.0032648868 0.0028049853 0.0037796865 0.0030193988 0.0030525448 0.003185129 0.0041360063 0.0029966107 0.0031250517 0.003018363 0.0036471023 0.0028319163 0.002917889 0.0030380434 0.0046673794 0.003113658 0.0038366562 0.002861955 0.0035632013 0.0031561262 0.0029862528 0.003118837 0.0042530536 0.0031478398 0.0033280714 0.0031675203 0.0036491738 0.0032027378 0.0033342864 0.003341537 0.0067141484 0.004061428 0.0037165019 0.0033342864 0.00412772 0.0032555645 0.003296997 0.0032317406 0.0043297037 0.0033259997 0.0031229802 0.0030887984 0.0036439947 0.0029893601 0.0030867266 0.0027977345 0.004252018 0.0032762806 0.0030939775 0.0029986824 0.0037165019 0.0030256137 0.0029313546 0.0029437842 0.0039764913 0.0031084788 0.0027231558 0.0026351116 0.0035373059 0.0029427484 0.0035839176 0.0028816354 0.0049543 0.0032452063 0.0034036858 0.0029758946 0.0038076534 0.0030670462 0.003196523 0.00290028 0.0044384645 0.005450455 0.003458584 0.0031364458 0.0037910803 0.0030825834 0.0032472778 0.0031778782 0.0046104095 0.0033208206 0.003414044 0.003034936 0.0037455047 0.0030887984 0.0033187491 0.0032420987 0.0043597426 0.0030411507 0.003190308 0.002860919 0.004009637 0.0030939775 0.004223015 0.0045161503 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004584966 0.0002926574 0.00027397714 0.0002667126 0.00030614872 0.00023869221 0.00033001794 0.00030459202 0.00032638566 0.00035233048 0.00032534788 0.00035388715 0.00051993394 0.00015774442 0.00018835929 0.00074254035 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099195294 0.06202521 0.062450185 0.055318996 0.060625747 0.0595672 0.054970298 0.054468006 0.060476307 0.053160388 0.05213142 0.05293311 0.056415424 0.050537888 0.056626614 0.05383755 4034.0 5.703768 23009.0 0.017254118 0.010517623 0.009431092 0.008605328 0.013472989 0.012516841 0.011908384 0.011473771 0.012516841 0.0096483985 0.008518406 0.008735712 0.01386414 0.010474162 0.011691078 0.009865705 0.016689122 0.011908384 0.008735712 0.0074753356 0.009865705 0.008605328 0.007909948 0.008431483 0.010256856 0.008474944 0.009604937 0.008866096 0.01143031 0.008996479 0.009561476 0.009213786 0.018166805 0.010865314 0.010343779 0.008996479 0.010821852 0.008866096 0.010691469 0.008344561 0.01421183 0.0116476165 0.009778782 0.008996479 0.0116041545 0.009300709 0.0116476165 0.009561476 0.014776827 0.009561476 0.009952627 0.009039941 0.012038767 0.00934417 0.009518014 0.009865705 0.013690295 0.009300709 0.010517623 0.009474553 0.011126081 0.009778782 0.01038724 0.0106480075 0.017906036 0.010995697 0.0096483985 0.008214177 0.013038376 0.008257639 0.00934417 0.008344561 0.015428745 0.009300709 0.008909557 0.0086487895 0.01143031 0.008083793 0.009952627 0.007823026 0.013125299 0.007996871 0.0086487895 0.008735712 0.01143031 0.009431092 0.008257639 0.007953409 0.011082619 0.008953018 0.011995306 0.008518406 0.011299926 0.008996479 0.010083011 0.008779174 6.55466 0.0 0.0 0.0 14.0 965424.0 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