Input: 0.18592338 0.012048192 0.00669867 0.005922126 0.01060492 0.0035532757 0.0036160266 0.0029806728 0.012816893 0.0026120106 0.0033650226 0.0029806728 0.009797 0.0022198167 0.0018982178 0.009812688 0.007726217 0.0009647967 0.0008706702 0.0010824548 0.0036395583 0.0027296687 0.0015844628 0.0009647967 0.0029649849 0.0009804844 0.0009647967 0.00125502 0.0020472514 0.0008706702 0.0007137927 0.0013491466 0.008792984 0.0008706702 0.0007294804 0.0015373996 0.003851343 0.0012785518 0.0006196662 0.0009726406 0.0022668801 0.0008392947 0.000564759 0.002204129 0.0017334964 0.0050043925 0.0011530496 0.0005176958 0.004408258 0.0023531627 0.0030042042 0.007977221 0.0024629768 0.002259036 0.0019060618 0.00202372 0.0029806728 0.002886546 0.002149222 0.00516127 0.0022825678 0.0025963227 0.0016079944 0.0034513052 0.004243537 0.015530873 0.0046357303 0.0015687752 0.0030355798 0.013373808 0.0036160266 0.0015609312 0.0023217872 0.001317771 0.0007451682 0.000502008 0.0015844628 0.0053730546 0.0016158384 0.0008079192 0.0072869603 0.0029885166 0.001451117 0.0037336848 0.0014824924 0.0058985944 0.004667106 0.0037650603 0.0028630146 0.0058279997 0.0007294804 0.0018589984 0.0011138304 0.0055926833 0.0035768072 0.002635542 0.0016629016 0.003851343 0.0012707078 0.00251004 0.0027924196 0.0063770707 0.0045572915 0.0011452058 0.0038905623 0.0033022715 0.0066516064 0.00163937 0.0030747992 0.0016315262 0.0033258032 0.004102347 0.0040866593 0.001129518 0.004973017 0.00477692 0.016119163 0.016236823 0.0020315638 0.0015609312 0.0016629016 0.0017413404 0.001074611 0.00043925704 0.001388366 0.0038278112 0.0012707078 0.002133534 0.0036474022 0.0025884788 0.0006667294 0.02001757 0.0036395583 0.010746109 0.0008549824 0.0006588855 0.0029100778 0.011153991 0.0021570658 0.036560304 0.0011138304 0.008557668 0.0005412274 0.00043925704 0.0012471762 0.0004941642 0.0004235693 0.00043925704 0.0010589232 0.0013099272 0.00040003765 0.0003843499 0.0010510794 0.0009961722 0.0006353539 0.0007059488 0.001004016 0.0008392947 0.0005412274 0.000564759 0.0013020834 0.0017727158 0.0006431978 0.0007294804 0.0009255773 0.0007373243 0.0003843499 0.00036866215 0.0016942772 0.0006667294 0.00046278865 0.0007294804 0.0009961722 0.000564759 0.0006745733 0.00062751 0.0017413404 0.0004941642 0.00036081826 0.0005176958 0.0009177334 0.0007686998 0.001066767 0.000753012 0.001702121 0.0009491089 0.0010589232 0.0006824172 0.0009961722 0.0012393324 0.0013491466 0.000690261 0.010110755 0.0047533885 0.002776732 0.007373243 0.005027924 0.0009883284 0.0032552083 0.0052083335 0.0033179594 0.0029336095 0.0010197038 0.0008314508 0.004235693 0.0009177334 0.0016079944 0.0011687374 0.002259036 0.0018119352 0.0017178088 0.0013413028 0.0014118976 0.0005726029 0.0011059864 0.0009804844 0.0024316015 0.0019452812 0.0008392947 0.001576619 0.0015452434 0.001890374 0.0006431978 0.0008314508 0.003961157 0.0013020834 0.0007451682 0.0005882907 0.0026198544 0.0020629393 0.0008706702 0.0006981049 0.01963322 0.0032003012 0.0008785141 0.0075928713 0.0058829067 0.0005569152 0.0008314508 0.000753012 0.0048788907 0.0010353916 0.0009412651 0.0013726782 0.0027845758 0.0004157254 0.003710153 0.0026433861 0.007420306 0.0017256526 0.0017256526 0.0012707078 0.0064006024 0.001513868 0.0051220506 0.055966053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00662951 0.00022230692 0.00023024644 1.984883e-05 0.00026200459 0.00010718369 0.00012703252 0.00013894182 4.7637193e-05 1.5879064e-05 5.9546495e-05 7.939532e-06 1.1909298e-05 7.542556e-05 7.542556e-05 9.924416e-05 0.0047518103 7.939532e-06 0.0006510417 0.0 7.939532e-06 1.1909298e-05 0.0016553926 0.000984502 0.0 7.939532e-06 7.939532e-06 1.1909298e-05 7.939532e-06 3.969766e-06 1.1909298e-05 7.939532e-06 0.015926702 0.0003294906 0.0013854484 0.0011671113 0.0012028392 0.0005914952 0.0015323298 0.0012107787 8.7334854e-05 0.00010718369 0.00012306275 8.7334854e-05 8.7334854e-05 0.00013894182 0.00015482088 0.0002580348 0.018765084 0.00042873475 0.001206809 0.00040491615 0.0021476436 0.00055973703 0.0028622015 0.0019253367 0.00058355567 0.00030170224 0.00030170224 0.00014291158 0.00021436738 0.0004128557 9.527439e-05 0.0021674924 0.021960746 0.0005160696 0.0027867758 0.0005875254 0.004009464 0.00081380206 0.008935944 0.0052440614 0.0007105882 0.0011591717 0.0009567137 0.00036124873 0.00024215574 0.00021039761 0.00016673018 0.00011909299 0.015767911 0.00032155108 0.005386973 0.0011393229 0.003275057 0.0014926321 0.010281695 0.006470719 0.00022230692 0.00044461383 0.0008574695 0.00050813006 0.0005517975 0.000543858 0.00029773248 0.0012187182 0.015545605 0.0013814786 0.0014132368 0.016069613 0.0024890434 0.0017625762 0.003413999 0.0022270388 0.0014727833 0.0011075648 0.0010837462 0.0012028392 0.0018022739 0.0018816692 0.0016474529 0.0024096482 0.015140689 0.0010916857 0.0011710811 0.0016236344 0.002870141 0.0020960367 0.00237789 0.0026597434 0.008308721 0.0012465066 0.000968623 0.0015879065 0.003191692 0.0012901741 0.0024731643 0.008812881 0.111062154 0.016510257 0.011460715 0.017459031 0.030126557 0.030416349 0.013886242 0.028419556 0.0643777 0.00509321 0.005502096 0.0072249747 0.032401234 0.010138783 0.03161522 0.05585064 0.046676513 0.009531409 0.006859756 0.008975642 0.015323298 0.017713098 0.006486598 0.015228024 0.031190453 0.002191311 0.0029296875 0.0037276105 0.017010449 0.007792651 0.015517816 0.028618045 0.00093289505 0.0005517975 0.0005398882 0.00045255336 0.00052797893 0.0004009464 0.00052797893 0.00048034173 0.00038109755 0.00043667428 0.00050813006 0.0004128557 0.0005120998 0.00054782775 0.00047240217 0.00044461383 565.0 14.070796 7950.0 0.08427673 0.001509434 0.0013836478 0.0018867925 0.0067924527 0.004025157 0.0010062893 0.006289308 0.005408805 0.0028930819 0.0012578616 0.0017610063 0.003899371 0.006666667 0.009685535 0.0010062893 0.012578616 0.011446541 0.012578616 0.012327044 0.011823899 0.010943396 0.009937107 0.012327044 0.013333334 0.009308176 0.009685535 0.009056604 0.00754717 0.007044025 0.0059119496 0.0059119496 0.004402516 0.008930817 0.0026415095 0.009937107 0.0065408805 0.0047798743 0.007798742 0.004528302 0.005283019 0.006037736 0.0013836478 0.0013836478 0.005408805 0.0033962263 0.0050314465 0.0023899372 0.014842767 0.0035220126 0.0047798743 0.0103144655 0.008050314 0.0023899372 0.004402516 0.0067924527 0.006666667 0.002264151 0.0021383648 0.003773585 0.0027672956 0.0032704403 0.0026415095 0.005408805 0.0081761 0.03408805 0.0072955973 0.025408804 0.023018869 0.061132077 0.009937107 0.008050314 0.010188679 0.032075472 0.0026415095 0.0033962263 0.029937107 0.010188679 0.028805032 0.04 0.017484277 0.0012578616 0.043144654 0.030566039 0.051320754 0.016981132 0.007798742 0.0027672956 0.008679246 0.009308176 0.0032704403 0.00088050315 0.002264151 0.00050314463 0.0012578616 0.0027672956 5.8199673 0.0 0.0 0.0 4.0 127488.0 147456.0 1.0 0.0 68.0 1.0 0.0 0.0 0.0 0.0 1541200300.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 89600.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.58529 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3041387 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9840102 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.767888 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26478.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89719.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 119108.0 0.0 0.0 0.0 0.0 0.0 0.0 4648.0 139264.0 28.0 116784.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 116816.0 0.0 0.0 276.0 94208.0 0.0 0.0 0.0 0.0


Input: 0.08869168 0.00418684 0.002973518 0.0024614877 0.0026430457 0.0041960096 0.0033436033 0.0026764232 0.0018306192 0.008211195 0.0028069983 0.0019340522 0.0026184712 0.003058612 0.0034026555 0.0024325117 0.0025616197 0.0025377788 0.0046886005 0.0040261885 0.0025902288 0.0023019365 0.008100426 0.0047241785 0.0016285211 0.0022252786 0.0026701877 0.0016402582 0.002226379 0.0044699972 0.004308979 0.0026184712 0.004248093 0.0023037705 0.0048397155 0.0019490904 0.0017583626 0.0035875146 0.0034881162 0.0030285357 0.0019674296 0.004377934 0.0020536238 0.0024526848 0.0033241638 0.017797096 0.004018486 0.0029933245 0.0030410064 0.0038813087 0.014034257 0.008890478 0.0026478139 0.003415493 0.009991931 0.0086689405 0.003077318 0.008324897 0.0035743103 0.0027277728 0.002461121 0.0043577612 0.0040192194 0.004492371 0.006224692 0.013325631 0.004867224 0.008297755 0.0028128668 0.0052109007 0.0042224177 0.004617811 0.002033084 0.0035926497 0.01313527 0.0036469337 0.004057365 0.0028733863 0.005375587 0.0027560152 0.008074017 0.0041142167 0.009454225 0.008789246 0.0027332746 0.0034319982 0.0035867812 0.0027417107 0.003327098 0.0036594043 0.013927157 0.0034994865 0.0020910357 0.0030861208 0.0055985916 0.004502641 0.0026830253 0.0052761883 0.0030245013 0.003357541 0.0039832746 0.008929724 0.0029258362 0.0042623975 0.0023939994 0.0059972857 0.00262434 0.0026313087 0.0023551204 0.0024435152 0.0073085385 0.0033223298 0.0025073357 0.0029335388 0.0044300174 0.0036051203 0.004792767 0.002367591 0.0050777583 0.0040705693 0.0019795334 0.003464642 0.0030340375 0.0023342136 0.0016776702 0.0029548123 0.0065122508 0.0020367517 0.0019428551 0.001752861 0.0018926057 0.0019901702 0.0013358275 0.0018738996 0.004106881 0.0015375587 0.0014931778 0.0018221831 0.0021709946 0.001665933 0.0015203198 0.0042462586 0.0018533597 0.0022773622 0.0016732687 0.001650895 0.0019058099 0.0031363703 0.0022531543 0.00164576 0.004060299 0.0015628667 0.0019307511 0.0015467283 0.0021222124 0.0013193222 0.0024545188 0.0015357247 0.0029185007 0.0020235474 0.0032196303 0.0014557658 0.0030934566 0.001513351 0.0036230928 0.00480157 0.0070275823 0.0011348298 0.002282497 0.0033626761 0.0018166814 0.0021049737 0.0029577464 0.003063747 0.0038798416 0.0026133363 0.0031426055 0.0037030517 0.0057918867 0.0021937352 0.0028392752 0.0051441463 0.002143486 0.0019901702 0.00409441 0.005562647 0.005025675 0.004714642 0.005115537 0.0034701438 0.006058539 0.003690581 0.0037331278 0.005560446 0.0044931043 0.0027351086 0.0034397007 0.004284771 0.0034481368 0.0026133363 0.0061271274 0.0048837294 0.006066608 0.0014183539 0.0042125145 0.004320349 0.002350352 0.0019417547 0.0026533157 0.006705546 0.006589642 0.0039407276 0.0012419308 0.0015958773 0.0018133803 0.0028275382 0.0034231953 0.0059096245 0.0043973736 0.0056426055 0.0011586708 0.0018962735 0.003440801 0.0032515405 0.0020147448 0.004756089 0.0014073503 0.0009844484 0.0011256603 0.001120892 0.0010005869 0.0007621772 0.00092026114 0.002287632 0.002658084 0.0025330107 0.0012745745 0.0016941754 0.0020704959 0.00157277 0.0022634242 0.0021963029 0.0022109742 0.0018658304 0.0027761883 0.0037268926 0.0022920335 0.0017312206 0.0010057219 0.001390845 0.002601966 0.0025550176 0.0010515698 0.0016666667 0.0041582305 0.010809492 0.010143075 3.669908e-07 3.669908e-07 0.0 1.834954e-07 1.834954e-07 1.6514585e-06 5.5048616e-07 0.0 1.834954e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0014450263 2.2019447e-06 2.5689355e-06 5.5048617e-06 3.8534035e-06 1.6514585e-06 2.1652457e-05 6.055348e-06 3.669908e-06 2.0184493e-06 5.5048616e-07 1.834954e-07 5.5048616e-07 1.1009723e-06 1.6514585e-06 4.9543755e-06 0.0013725456 1.3762155e-05 9.908751e-06 3.669908e-06 3.669908e-06 1.0275742e-05 3.027674e-05 5.3213666e-06 5.871853e-06 1.3211668e-05 1.0275742e-05 3.1194218e-06 2.7524309e-06 3.8534035e-06 5.137871e-06 9.541761e-06 0.0070970515 8.404089e-05 6.330591e-05 5.339716e-05 7.0095244e-05 4.6424335e-05 6.752631e-05 5.1929197e-05 3.4497134e-05 3.780005e-05 4.0552484e-05 3.9268016e-05 4.4772878e-05 4.6424335e-05 4.7158315e-05 6.752631e-05 0.004303701 0.0002712062 0.00014936525 3.98185e-05 5.101172e-05 3.7616555e-05 7.541661e-05 3.0460236e-05 4.422239e-05 1.9817502e-05 2.7340813e-05 3.1194217e-05 3.2845677e-05 2.6423337e-05 2.1652457e-05 9.908751e-05 0.0032561258 0.00018624782 0.00011615259 3.0643732e-05 4.0185492e-05 2.8258291e-05 6.624184e-05 2.9175768e-05 4.293792e-05 5.0828225e-05 2.8992272e-05 1.9450512e-05 3.19282e-05 1.9634008e-05 3.6515583e-05 0.00015046622 0.0034592552 0.00012477687 8.587584e-05 4.3671906e-05 7.284767e-05 7.7618555e-05 0.00036405487 0.00013780504 4.3121418e-05 5.4131142e-05 2.9359264e-05 3.6148595e-05 4.660783e-05 3.8167043e-05 3.4864126e-05 0.00023707605 0.01234135 0.00033359462 0.00046405985 0.00022478186 0.0002950606 0.0008284817 0.0009372945 0.00071287964 0.00013413513 0.0003350626 0.00018918376 0.00016679731 0.0011094132 0.00014899827 0.00013817204 0.0015580594 0.01710856 0.000620031 0.0011494152 0.00043910448 0.0007306787 0.0014406224 0.0032315375 0.0015253972 0.0003431364 0.00064315135 0.0002879043 0.00033396162 0.0018841308 0.00032056647 0.000258545 0.002753532 0.015026438 0.0007108612 0.0014554855 0.0005737901 0.0013424524 0.0016400819 0.0044005867 0.0017329305 0.000399286 0.00083196815 0.0003346956 0.0002987305 0.0010395014 0.000418186 0.000398552 0.0032183258 0.0028933554 0.00012697882 0.00055544055 0.00056424836 0.0019527581 0.00095160713 0.0028878506 0.0013330941 6.972825e-05 5.1195217e-05 4.4589382e-05 6.018649e-05 4.936026e-05 7.688457e-05 0.00011450113 0.00029377613 0.002439021 0.00025671005 0.0004110297 0.00035249465 0.002072397 0.0009714246 0.0013140106 0.0007840758 0.00012532735 0.00011817103 0.000112666174 0.00012881377 8.75273e-05 0.00017578859 0.00018955074 0.00023175469 0.0073565138 0.0012303366 0.0008248118 0.0013378649 0.0052509042 0.0017054062 0.0025597608 0.0019481706 0.0005099337 0.00054883474 0.0005214939 0.00052424637 0.00042772776 0.0006886582 0.0007262748 0.0008965585 0.003671743 0.00052241137 0.0005315862 0.0008438953 0.0013092397 0.0005701202 0.0009683052 0.0007923331 0.00048461134 0.00045745404 0.0006893922 0.0008169215 0.00085674 0.00086334586 0.0006238843 0.0010299596 0.0027518806 0.0013448377 0.0018608269 0.0029096864 0.00223791 0.00223424 0.0012896056 0.0014648438 0.0018573405 0.0018355044 0.00358917 0.004345171 0.004049193 0.0037851431 0.0017613723 0.002517924 0.042576436 0.047513932 0.05650649 0.08020088 0.07162798 0.072089106 0.045288317 0.043226928 0.029397614 0.028757581 0.042067602 0.057896283 0.051996723 0.04990396 0.023839539 0.03125569 42805.0 7.253008 310465.0 0.01909716 0.003211312 0.009076707 0.002985844 0.0032306379 0.006197156 0.0062647965 0.00459311 0.004122848 0.007173111 0.003613934 0.0050923615 0.00594592 0.0515356 0.008406744 0.0049280915 0.005575508 0.0053500393 0.03987567 0.022711094 0.0046800766 0.0053339344 0.023767574 0.021554764 0.006834909 0.023413267 0.007347044 0.0054788785 0.0037782036 0.0070507145 0.006451613 0.0074050217 0.011869293 0.040851627 0.008715958 0.02368383 0.006545021 0.013779331 0.008445396 0.011411915 0.0044223987 0.0077915387 0.035817243 0.0066770813 0.0073083923 0.005420901 0.010162176 0.0074243476 0.022363229 0.0070442725 0.025445702 0.026463531 0.007353486 0.008593561 0.006174609 0.0055980547 0.006345321 0.0072439727 0.037946306 0.0063743093 0.0040487656 0.0052308636 0.0068928865 0.013595736 0.0026411994 0.013772889 0.005662474 0.00987873 0.0076337107 0.023229672 0.0058557326 0.007917156 0.004802474 0.015289968 0.0035366304 0.005382249 0.008345546 0.00683813 0.01635611 0.013647271 0.005031163 0.003465769 0.015715137 0.012149517 0.015473564 0.006438729 0.0067189536 0.005923373 0.0034400013 0.004232361 0.0043386533 0.002319102 0.0013560305 0.0042806757 0.0071119126 0.0020904127 6.148526 1.0 1.0 0.0 84.0 2726400.0 2998272.0 1.0 54.0 13.0 0.0 1.0 0.0 0.0 0.0 1221211300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 2174464.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 384512.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -145920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2174464.0 0.0 18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3904786 0.0 -5.3622375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.3936937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.591092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.710742 0.0 6.716427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 384397.0 0.0 -4096.0 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 -403396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2174026.0 0.0 18848.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1517.0 2561952.0 220.0 2994176.0 18848.0 2969600.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 2189552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 92.0 2994603.0 0.0 0.0 0.0 0.0


Input: 0.01868048 0.006057004 0.005119835 0.005528667 0.005704779 0.004887115 0.0051764427 0.0054248865 0.005871457 0.0044688485 0.0047172927 0.0043807924 0.0054657697 0.0044940077 0.0046481057 0.0047833347 0.005157573 0.0040631616 0.003937367 0.004047437 0.004459414 0.0040191333 0.003846166 0.0042864466 0.00476761 0.0039939745 0.0038084276 0.003937367 0.0042172596 0.0039530913 0.0038178621 0.00409461 0.005978382 0.0043147504 0.0038493108 0.0038618902 0.0042833015 0.004006554 0.0037140818 0.003940512 0.0041008997 0.0038776146 0.0035348246 0.0037140818 0.0041512176 0.003987685 0.0036952125 0.0038870492 0.004799059 0.0039530913 0.0037675444 0.004465704 0.004072596 0.0035191004 0.0036669087 0.0038493108 0.0041040448 0.0038996285 0.003393306 0.003956236 0.00398454 0.0036826332 0.0034027405 0.003940512 0.0047235824 0.004418531 0.004277012 0.0047739004 0.004261288 0.0042235493 0.0037360957 0.0039688153 0.004346199 0.0038084276 0.0034845069 0.0036763435 0.0041008997 0.004044292 0.0036889229 0.0036134461 0.00476761 0.0032863806 0.0034278994 0.0036920677 0.0036920677 0.0036826332 0.0037235164 0.003865035 0.0040317127 0.0034436237 0.003387016 0.0032486422 0.0037864135 0.0033335534 0.0033775815 0.003798993 0.0041040448 0.004072596 0.003528535 0.0037643996 0.0042833015 0.0038744698 0.0043084607 0.00364175 0.004277012 0.0042738672 0.003324119 0.003437334 0.004044292 0.0036008668 0.003707792 0.003912208 0.0044216756 0.0033366983 0.00398454 0.004009699 0.004660685 0.004777045 0.0036480397 0.0039939745 0.0037864135 0.0040191333 0.0029184318 0.0031008336 0.003685778 0.0032423525 0.0035536939 0.0035851423 0.0050758068 0.0042424183 0.0035568387 0.004651251 0.0042455634 0.0041480726 0.0038241518 0.0038304417 0.004534891 0.0044531245 0.0037518202 0.004893405 0.003918498 0.0050191996 0.0034027405 0.003871325 0.0048525217 0.0034216095 0.0036448948 0.0031511516 0.003500231 0.0033744366 0.0032612216 0.0034750723 0.0036794883 0.0037832686 0.0033964508 0.003232918 0.00352539 0.003160586 0.0031039785 0.0033083947 0.003320974 0.0035914322 0.0028398102 0.003412175 0.003342988 0.0033775815 0.0035411143 0.0034593479 0.0033775815 0.003207759 0.0031354271 0.0030630953 0.0036480397 0.0034341891 0.0030976888 0.0033398431 0.004044292 0.003368147 0.0030882542 0.0034184647 0.0036228807 0.0034845069 0.0032706563 0.0035568387 0.004173232 0.0034184647 0.0031291374 0.0034153198 0.0038870492 0.0033335534 0.003047371 0.0034247544 0.0045631942 0.0042235493 0.0038084276 0.0041071894 0.003981395 0.003254932 0.0036291706 0.0036983574 0.0046481057 0.004009699 0.0028838383 0.0033807263 0.0041260584 0.0033021048 0.0029718943 0.0034404788 0.0039247875 0.00307253 0.003324119 0.00364175 0.0035348246 0.0030536607 0.0030316468 0.0035096658 0.0042204047 0.0033524227 0.0030159224 0.0038556005 0.003550549 0.0033052496 0.0030851094 0.0033366983 0.004600933 0.0036040116 0.003116558 0.003320974 0.004682699 0.0029624598 0.0030347917 0.0031354271 0.0041197687 0.0033398431 0.0031794552 0.0046072225 0.0047896244 0.003324119 0.0030096327 0.0034845069 0.0047424515 0.0031354271 0.0037643996 0.0032297731 0.0035757078 0.0029530253 0.003160586 0.0036669087 0.004465704 0.0031700206 0.002912142 0.0033964508 0.0038367314 0.0031071235 0.0031857449 0.006638803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021079844 3.9504954e-05 4.582575e-05 0.00015960002 8.84911e-05 5.5306937e-05 0.00012957625 0.00015327922 0.00015485943 6.0047532e-05 1.738218e-05 1.5801983e-05 6.7948524e-05 2.0542577e-05 2.2122775e-05 9.797229e-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 0.0034242896 0.00014063764 0.00010587328 0.0002670535 0.0001738218 0.000118514865 0.00029865745 0.00025283173 0.0003318416 0.00024019013 6.7948524e-05 6.4788124e-05 0.00028285547 9.639209e-05 0.0001864634 0.00042033274 0.0067964327 0.00019278418 0.0006352397 0.00083908526 0.00023386933 0.00028127528 0.0012372952 0.00095443975 0.0005894139 0.0006225981 7.2689116e-05 0.0002796951 0.0007837783 0.00012799606 0.00086278823 0.0016718497 0.00087542983 3.1603965e-06 0.00033026142 0.00015169903 9.16515e-05 3.0023766e-05 0.00058783375 0.00039504954 0.00024177032 1.2641586e-05 4.8986145e-05 3.0023766e-05 2.686337e-05 3.1603966e-05 0.00016750101 0.00021174656 0.000175402 0.00015643962 0.00012957625 0.0010460912 0.00013905745 0.00015169903 0.0001738218 0.00014221785 0.00010587328 0.00011535447 0.00011061387 9.639209e-05 0.000116934665 0.00011535447 0.000121675264 0.0003397426 0.0005388476 9.00713e-05 9.32317e-05 0.00015011884 0.00013589705 0.00010745348 0.0002765347 0.00020384557 0.00039188916 6.952872e-05 0.00015643962 0.00011219407 0.00011535447 0.00016434061 0.00032552084 0.00030497825 0.08037204 0.065876886 0.063628264 0.05993376 0.0643994 0.057830513 0.059499204 0.058649056 0.06571887 0.05478705 0.05276914 0.05517578 0.058718584 0.054324053 0.056737017 0.05598168 1860.0 6.3774195 11862.0 0.02638678 0.008767493 0.014500084 0.0069971336 0.008430282 0.009526218 0.008936099 0.009020401 0.009357613 0.0091047045 0.008177374 0.006491317 0.009526218 0.00868319 0.010369246 0.012055303 0.013572753 0.012561119 0.009357613 0.010032035 0.011212274 0.008261676 0.00986343 0.009357613 0.011127972 0.008430282 0.009526218 0.009020401 0.010706457 0.011043669 0.009189007 0.010622155 0.011127972 0.012476817 0.011212274 0.012139605 0.010790761 0.011633788 0.009526218 0.008936099 0.011127972 0.010032035 0.007418648 0.0079244645 0.012392513 0.009441915 0.00986343 0.009020401 0.010790761 0.006744225 0.009610521 0.00986343 0.0126454225 0.009020401 0.008345978 0.009779126 0.0102849435 0.007755859 0.009357613 0.0070814365 0.011127972 0.0076715564 0.008514584 0.009947732 0.010116338 0.013319845 0.010369246 0.012561119 0.0138256615 0.01770359 0.010453549 0.008936099 0.009526218 0.014500084 0.007334345 0.008430282 0.014415782 0.009779126 0.015005901 0.014752992 0.012223909 0.0061541055 0.016523352 0.015933232 0.016607655 0.0126454225 0.009779126 0.010622155 0.009357613 0.011633788 0.0071657393 0.0060698027 0.0075029507 0.0070814365 0.007840162 0.008008768 6.5348606 2.0 0.0 0.0 8.0 317979.0 425984.0 0.0 0.0 9.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 139264.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9193096 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.605443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139264.0 0.0 0.0 0.0 0.0 0.0 274432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 544.0 424688.0 6896.0 417792.0 0.0 0.0 8168.0 9430104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 414464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.6815403 0.0013849327 0.0012493873 0.0013875337 0.0014739475 0.0014852189 0.0013594999 0.0012580575 0.0013493845 0.0012320468 0.0012441851 0.0012756871 0.0012950507 0.001239561 0.001238694 0.0012641267 0.0013167264 0.0012022788 0.0011808921 0.0011950536 0.0012112381 0.0012632598 0.0012253996 0.001240139 0.0012314687 0.0011988106 0.0012005448 0.0012282896 0.001208059 0.001211527 0.001240139 0.0012196193 0.001237538 0.0011959206 0.0012378269 0.0012002557 0.0012502543 0.001208059 0.0012147062 0.001242451 0.0012170182 0.0012069029 0.0012138392 0.0013248187 0.0012227985 0.0012063249 0.0012485202 0.0012193304 0.0012352258 0.0012054578 0.0012438961 0.0012811783 0.0012288677 0.0012519883 0.001208926 0.0012132612 0.0012239545 0.0012453411 0.0012175962 0.0012597917 0.0012583466 0.0011959206 0.0012219314 0.0012355149 0.0012427401 0.0012427401 0.0012132612 0.0012141282 0.0012647047 0.0015002474 0.0012586355 0.0012543005 0.0012438961 0.0012803113 0.001210949 0.0012473642 0.0012566125 0.0014508268 0.0012358038 0.0012019898 0.0012843574 0.0012453411 0.0012430291 0.0012768431 0.0012490983 0.0014418676 0.0012751091 0.0012528554 0.0012459191 0.0012964958 0.0012017008 0.0012707739 0.0012690399 0.0012670169 0.0012557455 0.0012433181 0.0012736641 0.0012644158 0.0012433181 0.0012580575 0.0012889815 0.0012912937 0.0012311797 0.0012615257 0.0012528554 0.0012615257 0.0012673059 0.0011967876 0.0012482313 0.0012227985 0.0012837794 0.0012488093 0.0012450522 0.0012410061 0.0012901376 0.0012516994 0.0014696124 0.0013687481 0.0012256885 0.0012485202 0.0012271336 0.001241295 0.0012256885 0.001208637 0.0012051689 0.0012236654 0.0012661498 0.0012415841 0.0012649938 0.0012259776 0.0012291566 0.0013398472 0.0012288677 0.0012615257 0.0012045909 0.0011970766 0.0012453411 0.0014516938 0.0012525663 0.001672208 0.0012121052 0.0012467862 0.0012334918 0.0012282896 0.0012366709 0.0012421621 0.0012311797 0.0011872503 0.0012288677 0.0012473642 0.0012181744 0.001178869 0.0012366709 0.0012193304 0.0012300237 0.0011967876 0.0012430291 0.0011947645 0.0011878284 0.001209793 0.0012476533 0.0012736641 0.0012230874 0.001237538 0.0012144172 0.0012074809 0.0012201974 0.0011722218 0.001238116 0.001209504 0.0012170182 0.001179447 0.0012317577 0.0011826261 0.0011612395 0.0011964986 0.0012314687 0.001240717 0.0012410061 0.0012349369 0.0012268446 0.0012219314 0.0012069029 0.0011956316 0.0012514103 0.0012479422 0.001210949 0.0012259776 0.0012554565 0.0011707768 0.0012187524 0.0012427401 0.0013447604 0.0012528554 0.0012181744 0.0012493873 0.001239561 0.0012045909 0.0012470753 0.001239561 0.0012675949 0.001237538 0.0012314687 0.0012196193 0.0013493845 0.0011699097 0.001208926 0.001178869 0.0012753982 0.0012190413 0.0012045909 0.0012063249 0.001271641 0.0012034348 0.001240717 0.0012285786 0.0012378269 0.001210371 0.0012178853 0.0012259776 0.001240717 0.0012196193 0.001237538 0.0012253996 0.0012615257 0.0012803113 0.0012378269 0.0011938976 0.0012571906 0.0011901404 0.001239272 0.0012112381 0.0013690372 0.0012034348 0.00123696 0.0012753982 0.0012918717 0.0012210644 0.0012436071 0.0012297346 0.0012502543 0.0012519883 0.0012436071 0.0012219314 0.0012826234 0.001237538 0.0012323357 0.001208926 0.0012762651 0.0011996777 0.0012462082 0.0012129721 0.0012823343 0.0012219314 0.0012609477 0.0017482174 0.012729426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00026683457 4.3364233e-07 1.4454744e-06 7.227372e-07 5.0591602e-06 4.914613e-06 1.4454744e-07 7.227372e-07 5.3482554e-06 1.5900218e-06 2.8909488e-07 1.0118321e-06 2.7464014e-06 1.300927e-06 1.7345693e-06 1.7345693e-06 0.0005021578 2.4573064e-06 2.7464014e-06 1.4021101e-05 3.4691386e-06 5.4928028e-06 7.227372e-06 1.1563795e-05 1.243108e-05 3.4691386e-06 7.3719193e-06 2.8909487e-06 2.7464014e-06 3.0354963e-06 8.239204e-06 2.7464014e-06 0.0004738265 1.19974375e-05 1.243108e-05 1.7345693e-06 1.3732007e-05 1.5032933e-05 2.6452182e-05 2.1103926e-05 2.601854e-06 1.8791167e-06 2.0236641e-06 1.7345693e-06 2.601854e-06 1.0118321e-06 1.0118321e-06 2.8909487e-06 0.0031045899 6.3456326e-05 4.4376065e-05 5.3482552e-05 0.00011708343 8.022383e-05 0.00015958038 0.00010421871 5.6662597e-05 5.2181626e-05 5.5939858e-05 4.900158e-05 5.3916196e-05 4.5966084e-05 5.145889e-05 5.2326173e-05 0.43611163 0.010930822 0.010932556 0.010986617 0.010989942 0.0110386545 0.011052386 0.011016683 0.010907983 0.0109555395 0.010854646 0.010993555 0.010978233 0.011003384 0.010875315 0.011023332 0.21847044 0.0065130186 0.0065446743 0.006587894 0.0065637548 0.0066577103 0.0066714427 0.0066345828 0.0065526245 0.006538748 0.006541639 0.006545397 0.006535857 0.0065576835 0.006586738 0.0065493 0.02625632 0.00094288297 0.0009397029 0.00091946626 0.0010077847 0.0009662996 0.0010014246 0.0010164576 0.000953724 0.00091700896 0.0009193217 0.0009404256 0.0009320419 0.0009402811 0.0009686124 0.0009347883 0.0001666632 8.528299e-06 1.4021101e-05 1.0262868e-05 9.684679e-06 5.63735e-06 1.28647225e-05 1.0841058e-05 6.649182e-06 6.21554e-06 9.251036e-06 8.094657e-06 5.3482554e-06 5.3482554e-06 6.3600874e-06 1.0262868e-05 0.0004329196 2.3850327e-05 3.2523174e-05 1.9513904e-05 4.741156e-05 3.3101365e-05 1.6767503e-05 2.2693948e-05 5.2181626e-05 1.8212977e-05 2.6307634e-05 2.6885824e-05 2.7319466e-05 2.8909488e-05 2.9054036e-05 5.0447055e-05 0.0002505007 1.8935714e-05 2.0670284e-05 2.25494e-05 2.1248474e-05 1.8502073e-05 4.6544275e-05 3.2956817e-05 2.486216e-05 1.9658451e-05 2.2983042e-05 1.691205e-05 1.7923883e-05 1.8791166e-05 1.7201146e-05 2.1826663e-05 0.00085687725 0.00010595327 0.00010523054 0.00015423211 0.0002610527 0.0003104879 0.000126479 0.00023879237 0.00048683578 3.4691384e-05 5.0013416e-05 8.774029e-05 0.00021320747 9.005306e-05 0.0002821566 0.00044462792 0.0006974414 0.00011520431 0.00014295742 0.00015596669 0.00041716392 0.00035052755 0.00011708343 0.00022216942 0.00059394544 5.5217122e-05 7.603195e-05 8.9908506e-05 0.00025570442 0.00013457367 0.00026076357 0.0004598054 0.0009079025 0.00083808607 0.00085268536 0.00080267194 0.00086424913 0.00083692966 0.00085586536 0.00084733707 0.0008437234 0.00088925584 0.00084993895 0.0008646828 0.00083707424 0.00084054336 0.00085947907 0.0008271004 400.0 9.2125 3685.0 0.022523744 0.0037991859 0.0059701493 0.0040705563 0.0073270015 0.0035278155 0.004613297 0.0059701493 0.0029850747 0.004613297 0.004613297 0.0040705563 0.0067842607 0.0056987787 0.00651289 0.0054274085 0.004341927 0.004341927 0.004341927 0.0040705563 0.0056987787 0.0048846677 0.0040705563 0.004613297 0.0059701493 0.0048846677 0.00651289 0.0054274085 0.005156038 0.004613297 0.0048846677 0.0054274085 0.00651289 0.024151968 0.007055631 0.010583446 0.036092266 0.007869742 0.011397557 0.02605156 0.0075983717 0.021709634 0.0040705563 0.0062415195 0.0081411125 0.011397557 0.018453188 0.0059701493 0.028765265 0.00651289 0.0081411125 0.017096337 0.009769335 0.0059701493 0.007869742 0.010854817 0.021166893 0.005156038 0.0054274085 0.005156038 0.0048846677 0.0056987787 0.0040705563 0.0067842607 0.0073270015 0.02578019 0.008412483 0.016824966 0.0192673 0.054002713 0.0056987787 0.0075983717 0.0089552235 0.021438263 0.007055631 0.0075983717 0.021981005 0.011397557 0.025237449 0.020895522 0.010312076 0.0037991859 0.029036636 0.018453188 0.03799186 0.015468114 0.0073270015 0.00651289 0.0067842607 0.01275441 0.0056987787 0.0059701493 0.005156038 0.00651289 0.0059701493 0.008412483 6.193514 0.0 0.0 0.0 5.0 3460096.0 10596352.0 0.0 0.0 64.0 0.0 1.0 0.0 0.0 0.0 1470760800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 12.0 0.0 5.0 10.0 5.0 1.0 1841664.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1590784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1841664.0 0.0 23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.526852 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6278787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3772256 0.0 3.628612 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1590286.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7123712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1841284.0 0.0 26220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3436068.0 13932.0 10567680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 3435584.0 0.0 0.0 264.0 1847296.0 0.0 0.0 0.0 0.0


Input: 0.02536288 0.008858421 0.007019043 0.007166082 0.0074490635 0.00629217 0.0074046743 0.0071522105 0.008314653 0.00569569 0.0054515493 0.00528509 0.0075100986 0.005218506 0.0055930396 0.0060369316 0.007701527 0.004999334 0.004616477 0.0044999556 0.005989768 0.004552668 0.0045665395 0.0049410732 0.0065474077 0.00481068 0.003911799 0.0041004526 0.0053350274 0.0040199975 0.0037925027 0.00468861 0.00770985 0.0055320044 0.0039617363 0.004255815 0.0058288574 0.004477761 0.004264138 0.004375111 0.004749645 0.0042003286 0.0031932483 0.00409213 0.004547119 0.0037148215 0.0038368918 0.0037120471 0.0058843438 0.003795277 0.0038923784 0.0034568093 0.005032626 0.0037508877 0.003939542 0.0037148215 0.0046414463 0.003512296 0.0029213645 0.0044111772 0.0040033516 0.0030378862 0.0027660022 0.0034928755 0.0065474077 0.004613703 0.0048301 0.0053683193 0.005054821 0.0046081543 0.004721902 0.004749645 0.00602306 0.0039783823 0.0037037244 0.0039145728 0.004633123 0.0043113013 0.003437389 0.0036482378 0.0053849653 0.0036371404 0.0038119229 0.0043362705 0.0038868298 0.0034346147 0.0038285688 0.0038368918 0.0047635166 0.0034401633 0.0031682795 0.0031904741 0.0035761052 0.0030073687 0.0027438076 0.0032320889 0.0051741167 0.0042863325 0.0031571821 0.0033846768 0.0048079058 0.0031488591 0.0036371404 0.0031072444 0.004552668 0.004480535 0.0030767268 0.0033042214 0.004125422 0.003498424 0.0030184658 0.003454035 0.0046442207 0.0027438076 0.003437389 0.0029629795 0.005321156 0.0048217773 0.0031155674 0.0036093972 0.00370095 0.003137762 0.0018837668 0.0026883213 0.0036260432 0.0027521306 0.0026023171 0.003565008 0.006891424 0.005060369 0.0038507634 0.0052157314 0.004868941 0.0041004526 0.0035622336 0.0038146973 0.005093661 0.0051047583 0.0035677822 0.0049660425 0.0039090244 0.0042585894 0.0026300603 0.0028409092 0.006439209 0.0033735796 0.003503973 0.0030240146 0.0031849255 0.0026467063 0.0027909712 0.0030378862 0.0033846768 0.0026050915 0.0028852983 0.0026161887 0.0030073687 0.0022277832 0.002319336 0.002549605 0.003717596 0.003651012 0.0022499778 0.0027188389 0.0036343662 0.0027965198 0.0032015713 0.002924139 0.0031682795 0.0026633523 0.0021084873 0.002360951 0.0031433105 0.0026245117 0.002327659 0.0026467063 0.0048772637 0.0030684038 0.0025939941 0.002660578 0.0034068713 0.002779874 0.0030184658 0.003137762 0.004239169 0.0025607022 0.0024580522 0.0027105159 0.0032515093 0.0022222346 0.0024691494 0.00271329 0.0053877397 0.004086581 0.0036954014 0.0041725854 0.0038368918 0.0026189631 0.0038923784 0.0037675337 0.0051741167 0.0035927512 0.0018809926 0.00271329 0.0030295632 0.002277721 0.0022749468 0.0028270374 0.004017223 0.0023692737 0.0030489834 0.0030656294 0.0032376377 0.002125133 0.0030850498 0.0028464578 0.004341819 0.0026494807 0.0027160645 0.002943559 0.003096147 0.002363725 0.002499667 0.0028436834 0.0049050073 0.002993497 0.0023831455 0.0024469548 0.0046026055 0.0019281561 0.0019142844 0.0026827725 0.0034928755 0.0022915928 0.0018005371 0.005143599 0.0038618608 0.0026356091 0.0020862927 0.0030767268 0.0046469946 0.002355402 0.002926913 0.0022361062 0.0032515093 0.0017727938 0.0027327104 0.0034346147 0.0043945312 0.002294367 0.0017006614 0.0022749468 0.0031766025 0.0017284047 0.0024081143 0.0066667036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002389935 3.895121e-05 1.3911147e-05 0.000118244745 6.9555736e-06 6.9555736e-06 1.5302261e-05 8.346688e-06 8.903134e-05 5.9817932e-05 6.9555736e-06 1.3911147e-05 1.6693377e-05 3.4777866e-05 1.808449e-05 1.1128917e-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 0.00438062 8.207576e-05 4.0342326e-05 0.0002837874 0.00013076478 7.651131e-05 3.7560098e-05 3.616898e-05 0.00019753828 0.00015441373 2.7822294e-05 4.173344e-05 4.5906785e-05 3.7560098e-05 4.5906785e-05 7.929354e-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 0.0017277644 5.70357e-05 1.3911147e-05 6.538239e-05 0.00025874734 0.00012241809 2.7822293e-06 9.181357e-05 0.00028796075 3.1995638e-05 1.6693377e-05 1.9475605e-05 1.9475605e-05 9.737802e-06 5.5644587e-06 0.000118244745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016442975 0.00010294249 7.3729076e-05 9.7378026e-05 8.624911e-05 7.3729076e-05 6.955573e-05 7.3729076e-05 0.00015441373 6.955573e-05 3.616898e-05 4.7297897e-05 7.929354e-05 8.764023e-05 6.955573e-05 8.346688e-05 0.0025999933 0.00015024039 0.00011268029 0.0001043336 0.00048828125 0.00018640936 0.000351952 0.00028796075 0.0004743701 5.70357e-05 7.233796e-05 5.8426816e-05 0.00014606705 9.042245e-05 0.00015441373 0.00036308094 0.0013479901 0.00012241809 0.00010711583 0.00011685363 0.00012380921 0.00010294249 0.00012102698 0.000108506945 8.4857995e-05 7.094685e-05 5.564459e-05 0.0001321559 8.4857995e-05 6.677351e-05 8.764023e-05 0.00011546252 0.0027989228 0.000521668 0.0007205974 0.0008903134 0.0005161035 0.00046045895 0.00036725428 0.00017388933 0.00031717416 0.00019336493 0.00011546252 0.00023788061 0.0003589076 0.00017806268 0.00022953392 0.00046741453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10727024 0.078151435 0.07151721 0.0606999 0.07258836 0.058348913 0.059211403 0.05387509 0.06832182 0.049093828 0.04572872 0.047744446 0.054623507 0.046870828 0.047765315 0.04684996 2362.0 6.144369 14513.0 0.022600427 0.013849652 0.00957762 0.01123131 0.013642941 0.011644732 0.011438021 0.011438021 0.012747192 0.012816096 0.007717219 0.009233101 0.011093502 0.00847516 0.00957762 0.008681871 0.015434438 0.008061738 0.01123131 0.009302005 0.011506924 0.015572245 0.0106111765 0.00792393 0.01068008 0.008819679 0.0064769518 0.010197754 0.010886791 0.006408048 0.006683663 0.0077861226 0.016674705 0.012816096 0.010748983 0.013918555 0.01674361 0.01178254 0.012540481 0.012127059 0.014883208 0.012747192 0.009922138 0.009646524 0.014331978 0.011369118 0.008957487 0.01068008 0.015227727 0.0090263905 0.013022807 0.013849652 0.010542273 0.008061738 0.0090263905 0.010748983 0.010886791 0.007992834 0.0068903742 0.0075794114 0.008957487 0.006132433 0.007510508 0.009646524 0.011506924 0.012402673 0.008750775 0.009302005 0.012471577 0.012127059 0.008130642 0.009439813 0.011989251 0.01343623 0.00792393 0.008819679 0.011575828 0.009922138 0.008750775 0.010955695 0.014331978 0.005650107 0.011713636 0.009646524 0.016399091 0.012127059 0.005581203 0.009922138 0.008544064 0.0068903742 0.004065321 0.0063391444 0.0064769518 0.005029973 0.004892166 0.0065458557 6.5238185 0.0 0.0 0.0 5.0 360448.0 1114112.0 0.0 0.0 10.0 0.0 1.0 0.0 1.0 0.0 1170003800.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 352256.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -349696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9164805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7524943 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -352256.0 0.0 0.0 0.0 0.0 0.0 745472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1599.0 897024.0 560.0 1110876.0 9052.0 1101824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1098620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.23566398 0.01697906 0.008777816 0.0050151846 0.011039371 0.0031363543 0.0031264136 0.0027884229 0.0122123975 0.0015706624 0.0017346872 0.0017794213 0.008315564 0.0023212004 0.0013121989 0.005711048 0.0077290507 0.0013718444 0.0009344447 0.00080024253 0.0035886653 0.00529353 0.00077041984 0.0005815427 0.0031810885 0.0012326718 0.00065609947 0.0008897107 0.0031910294 0.0009642674 0.0010239128 0.00089965155 0.005999334 0.001058706 0.0005417791 0.0007853312 0.006585847 0.0010736174 0.0004821337 0.00044734057 0.0016700714 0.0005964541 0.00084497663 0.0018887713 0.0011680559 0.00079030165 0.0013718444 0.00060639495 0.0024653436 0.0016849828 0.0018390667 0.0051990915 0.002072678 0.0030667682 0.0007555085 0.0005417791 0.0018390667 0.0026840433 0.00073065626 0.0037526903 0.0017446282 0.0017993031 0.00070083357 0.0012127899 0.006382059 0.010517473 0.019111384 0.0021273529 0.006665374 0.011536416 0.0048710415 0.0019484167 0.0028878318 0.0015060465 0.0005666314 0.0007256858 0.0019484167 0.0063124723 0.002072678 0.0009642674 0.011591091 0.0027088956 0.0012376423 0.0058701024 0.001709835 0.003583695 0.008236037 0.0059695113 0.002117412 0.0046573123 0.0003926656 0.0020329144 0.0012823762 0.002226762 0.0053233528 0.0036681925 0.001366874 0.003166177 0.00091953337 0.0019682986 0.0031363543 0.008295682 0.002524989 0.0012724354 0.004970451 0.0032457043 0.008429884 0.0006710108 0.0033500837 0.0015756328 0.0034892564 0.0036333995 0.0029971818 0.00084994704 0.00397139 0.0028679501 0.015890531 0.014488864 0.002524989 0.0021124415 0.0023112595 0.0011332628 0.0010537355 0.00043739966 0.0021372938 0.0028828613 0.0020030916 0.001058706 0.0040857103 0.0017048646 0.0005020155 0.011441978 0.0022118506 0.008131658 0.0018042736 0.0008648584 0.003891863 0.01102943 0.0018987121 0.033893503 0.00094438565 0.010522444 0.001466283 0.00070083357 0.0012525535 0.0003926656 0.00030816795 0.0008250948 0.0011233218 0.0006660404 0.00070083357 0.0004821337 0.0011034401 0.0010487651 0.00046225192 0.00065609947 0.0013320808 0.0005914836 0.0006710108 0.00044734057 0.0015607215 0.0024504322 0.00055172003 0.0009145629 0.000859888 0.0012475831 0.00095432653 0.00068095175 0.0013370513 0.0005865132 0.0009841493 0.00052189734 0.0007505381 0.00065112906 0.00060142454 0.0007455676 0.0013718444 0.00057657226 0.0003429611 0.00040757697 0.0009095925 0.00041751785 0.0015308989 0.0010636764 0.0029474772 0.0012525535 0.0006163359 0.0011779969 0.0006411881 0.00054674956 0.0013320808 0.00092947425 0.011148721 0.0030717384 0.004841219 0.006277679 0.0021522052 0.00043739966 0.002524989 0.0033948177 0.0026989547 0.0034494929 0.00092450384 0.00084497663 0.0022864074 0.00026343387 0.0033600247 0.0011531445 0.0014414306 0.0011879377 0.0012326718 0.0017297168 0.000904622 0.00021372938 0.001013972 0.0009940901 0.0024404912 0.0008897107 0.0004026065 0.0015408397 0.0013420216 0.00063124724 0.0005417791 0.00048710417 0.0026641616 0.00066106993 0.00049207464 0.0004026065 0.0016303079 0.00026343387 0.00086982886 0.00034793155 0.019538842 0.0027586 0.00045728145 0.0054824073 0.004513169 0.00030319748 0.00046225192 0.00038769515 0.0050350665 0.002723807 0.0006461586 0.0010487651 0.0028083047 0.0026343388 0.0028281864 0.002018003 0.0070182765 0.0012475831 0.0008250948 0.0011382332 0.0053432346 0.0009095925 0.0033103202 0.048705447 0.020392628 0.0 2.0032052e-05 0.0 2.5040065e-06 2.5040065e-06 7.5120195e-05 2.0032052e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009072015 8.513622e-05 9.264824e-05 9.014423e-05 0.00017528045 4.5072116e-05 0.0001928085 9.264824e-05 4.256811e-05 6.510417e-05 2.0032052e-05 5.2584135e-05 8.2632214e-05 2.0032052e-05 5.008013e-06 0.00012269632 0.004316907 5.008013e-05 6.510417e-05 3.7560098e-05 4.5072116e-05 6.2600164e-05 8.012821e-05 5.508814e-05 0.00014773638 1.7528046e-05 2.5040064e-05 2.0032052e-05 2.5040064e-05 3.7560098e-05 7.261619e-05 7.011218e-05 0.007967749 0.000115184295 0.00039813702 4.7576123e-05 0.00021534455 4.0064104e-05 0.00080378604 0.00033303286 0.000102664264 1.2520032e-05 5.508814e-05 2.0032052e-05 3.0048077e-05 4.0064104e-05 2.754407e-05 4.7576123e-05 0.010907452 5.7592148e-05 0.00029046476 0.00012520033 0.0009665465 0.00026041668 0.001156851 0.000788762 0.00010016026 3.505609e-05 2.754407e-05 0.00020783253 7.261619e-05 2.0032052e-05 5.7592148e-05 0.0003104968 0.031615585 0.0004982973 0.002781951 0.0003130008 0.002398838 0.00022536058 0.00560647 0.0030323518 0.0005408654 0.00043820112 0.00012019231 0.00064102566 0.00019781651 0.00011017628 0.00020032052 0.0025615986 0.0060096155 0.00013772036 0.0003430489 0.00014523238 0.00018529648 0.00011017628 0.00081380206 0.00048577724 0.00060346554 0.00010016026 0.00013271235 0.00010016026 0.00017027244 0.00010516827 0.00010767228 0.0007061298 0.017179988 0.00055588945 0.0005884415 0.0005383614 0.004389523 0.002308694 0.010812299 0.005328526 0.00088141026 0.00067608175 0.00056340144 0.00033553687 0.00052834535 0.00026041668 0.00044571314 0.00076121796 0.038839642 0.0018930288 0.001960637 0.0016276041 0.009928386 0.0020858373 0.0060972557 0.004692508 0.0036207933 0.0026392227 0.0031850962 0.001920573 0.0025716147 0.0009465144 0.0007361779 0.0044345954 0.009259815 0.00072866585 0.0005834335 0.00043569712 0.0037685297 0.000788762 0.003878706 0.0022360778 0.0001953125 0.0005934495 0.00072866585 0.00025540867 0.00069360976 0.00039813702 0.00029296876 0.00080378604 0.0070963544 0.0005533854 0.0002729367 0.00037059296 0.0024864783 0.0005433694 0.0008513622 0.0006234976 0.0004957933 0.0009790665 0.0008213141 0.00044821715 0.0010091146 0.00045572917 0.0006460337 0.0028595752 0.06168119 0.010073618 0.0065229367 0.00911208 0.020570412 0.019481169 0.006996194 0.0144481165 0.035579428 0.0025716147 0.0030373598 0.004309395 0.015680088 0.0056089745 0.013421474 0.027316205 0.09396785 0.018552184 0.011851463 0.019130608 0.035456732 0.036959134 0.014675981 0.026933093 0.05348057 0.003978866 0.0067733373 0.007794972 0.027989784 0.0090895435 0.025498297 0.04889323 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 872.0 11.844037 10328.0 0.0153950425 0.0061967466 0.00038729666 0.00096824166 0.0025174282 0.0016460108 0.00038729666 0.00038729666 0.0016460108 0.00096824166 0.005712626 0.0013555384 0.0013555384 0.0016460108 0.009198296 0.0006777692 0.003582494 0.0028079008 0.0042602634 0.0032920216 0.00232378 0.0015491867 0.0024206042 0.000580945 0.001742835 0.0028079008 0.0015491867 0.0016460108 0.0024206042 0.0002904725 0.0006777692 0.0054221535 0.01394268 0.024690162 0.005325329 0.022850504 0.0116189 0.013264911 0.01278079 0.0116189 0.009004648 0.011037955 0.00038729666 0.001742835 0.0067776917 0.010069713 0.004066615 0.005712626 0.018396592 0.0049380325 0.010069713 0.023528272 0.012296669 0.0037761426 0.0155886905 0.016750582 0.0020333074 0.0025174282 0.000580945 0.0024206042 0.00116189 0.0016460108 0.0030983733 0.007842758 0.0007745933 0.03795507 0.007939582 0.022269558 0.021979086 0.089852825 0.0060030986 0.012103021 0.009682417 0.042699456 0.0055189775 0.0041634394 0.03437258 0.016847406 0.040956624 0.04947715 0.016363284 0.00019364833 0.04618513 0.025755228 0.07145624 0.017815648 0.004550736 0.012877614 0.01045701 0.007552285 0.0010650659 0.00019364833 0.00116189 9.6824166e-05 0.0008714175 0.0014523625 5.5704126 0.0 0.0 0.0 1.0 201189.0 331776.0 0.0 0.0 356.0 0.0 1.0 0.0 0.0 0.0 943119300.0 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 139264.0 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 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139264.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9351954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.300132 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.588457 0.0 4.5626926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 31426.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139178.0 0.0 13472.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 2.0 -1.0 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 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 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 -2.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 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 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 -2.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -2.0 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 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 166952.0 13472.0 315392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1468.0 143360.0 0.0 0.0 0.0 0.0