Input: 0.19678217 0.0075997836 0.0047571165 0.004795792 0.009494895 0.002842667 0.002862005 0.0017017326 0.010887221 0.0010442451 0.0013923268 0.00083152845 0.006207457 0.0018177599 0.001063583 0.008972772 0.028639387 0.00090887997 0.0008702042 0.0008702042 0.0037902228 0.004505724 0.0008895421 0.00058013614 0.002552599 0.0012182859 0.0006961634 0.00042543316 0.0022045174 0.00036741956 0.00048344678 0.0023592203 0.005124536 0.00042543316 0.0007928527 0.001953125 0.004467048 0.0020498144 0.0003287438 0.00071550126 0.0010055694 0.00048344678 0.00083152845 0.004080291 0.0014503404 0.0014890161 0.0022625308 0.00038675743 0.003306776 0.0024559097 0.0024365718 0.005143874 0.002397896 0.0014696782 0.0020691522 0.002107828 0.003287438 0.002862005 0.0029006808 0.004950495 0.0027073019 0.0020884902 0.0022045174 0.0053372523 0.016321164 0.0050665224 0.00299737 0.0027266399 0.0045830756 0.014271349 0.0056079826 0.0019337871 0.0029780322 0.0015663676 0.001198948 0.0008702042 0.0018177599 0.0066909036 0.0012569616 0.00092821784 0.009475557 0.0032681003 0.0017984221 0.003442141 0.0018564357 0.005395266 0.0042930073 0.0031327351 0.0027459778 0.0022625308 0.0022625308 0.0017210705 0.00071550126 0.00390625 0.0028813428 0.0071356744 0.0008895421 0.008528002 0.0040222774 0.0049118195 0.008218596 0.010442451 0.0032681003 0.0015857054 0.004505724 0.006149443 0.003751547 0.00071550126 0.0052212253 0.0026492884 0.0052212253 0.004641089 0.0027459778 0.0006961634 0.011680074 0.009320854 0.015934406 0.009514233 0.002397896 0.0016243812 0.0031327351 0.0018370978 0.002127166 0.00048344678 0.0013149752 0.002397896 0.0010442451 0.0013149752 0.0013149752 0.0018177599 0.00044477105 0.016881961 0.0031907489 0.007657797 0.00058013614 0.0010055694 0.0018370978 0.009668936 0.0013923268 0.03797958 0.0014696782 0.011931467 0.00044477105 0.00038675743 0.004254332 0.002571937 0.0020498144 0.0007348391 0.0014503404 0.00077351485 0.00063814974 0.00046410892 0.0018564357 0.0006188119 0.0009862315 0.00052212254 0.0012569616 0.00071550126 0.0004060953 0.0003480817 0.0011602723 0.0015663676 0.0004060953 0.0010055694 0.0008895421 0.00077351485 0.00038675743 0.00036741956 0.0014696782 0.0003287438 0.0011602723 0.0006574876 0.00042543316 0.00030940594 0.00030940594 0.00046410892 0.0018564357 0.00048344678 0.00044477105 0.00030940594 0.0008895421 0.00067682547 0.0008895421 0.00030940594 0.0024365718 0.00058013614 0.00058013614 0.00063814974 0.0013923268 0.0005607983 0.0007348391 0.0005414604 0.0071356744 0.005279239 0.0053759282 0.0036548576 0.005298577 0.0010829208 0.0047184406 0.00817992 0.004060953 0.0016050433 0.0011602723 0.000599474 0.018951114 0.00058013614 0.0014503404 0.0010249072 0.0029586942 0.0011022587 0.000754177 0.0013149752 0.0017210705 0.00021271658 0.0008702042 0.000754177 0.0035194927 0.00052212254 0.00046410892 0.0005414604 0.0011796101 0.0003287438 0.00023205446 0.00021271658 0.0015857054 0.000599474 0.00015470297 0.00030940594 0.0016823948 0.0013923268 0.0005027847 0.0003287438 0.012144183 0.00299737 0.00042543316 0.0030940594 0.0053179148 0.00023205446 0.00044477105 0.0003287438 0.003016708 0.0012569616 0.0008895421 0.0009862315 0.002243193 0.0002707302 0.0017404084 0.0010829208 0.0042930073 0.0019144493 0.0027266399 0.0010249072 0.007870514 0.0015470297 0.003616182 0.045095917 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013382892 0.0016342475 0.00055803574 0.0002092634 0.00019929848 0.00013950893 0.00044842155 0.00030891263 0.0008968431 0.0003388074 0.0005281409 0.00010961416 7.9719386e-05 0.00010961416 8.968431e-05 0.0013751595 0.03674067 0.0041354434 0.0016641422 0.0016342475 0.005739796 0.004075654 0.010522959 0.0060586734 0.0012256856 0.00259088 0.000916773 0.00082708866 0.0010064573 0.0010463169 0.00023915817 0.0032087055 0.032246493 0.0021723532 0.0049326373 0.0057995855 0.0194316 0.01171875 0.0371592 0.023965642 0.0009765625 0.0011957908 0.00056800066 0.0005779656 0.00040856187 0.00031887754 0.00021922831 0.0011658961 0.017448582 0.0026905295 0.0026705994 0.011589206 0.0016741072 0.001694037 0.006925622 0.0043048467 0.0022122131 0.0015047034 0.0007971939 0.0011260364 0.0019331952 0.0010463169 0.0014548788 0.0021524234 0.011708785 0.00087691325 0.0013054049 0.0061981822 0.0028101085 0.002192283 0.0056501115 0.0036969867 0.00049824617 0.00074736925 0.00069754466 0.0012456154 0.0011559312 0.0005082111 0.00039859695 0.0011260364 0.08563855 0.023297992 0.010084502 0.010373485 0.025659679 0.021803252 0.008948501 0.018176021 0.058583785 0.0068857623 0.0043447064 0.0057796557 0.042032048 0.00716478 0.015326052 0.04365633 0.056600764 0.01760802 0.0069355867 0.0073840083 0.01684072 0.015973773 0.006636639 0.012246891 0.03633211 0.0063775512 0.003896285 0.0036471619 0.025261082 0.0066167093 0.014439174 0.028509647 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 351.0 24.962963 8762.0 0.018717188 0.0006847752 0.00079890434 0.000114129194 0.014950925 0.0010271628 0.00045651678 0.0018260671 0.0010271628 0.000114129194 0.000114129194 0.0003423876 0.00091303355 0.0073042684 0.010614015 0.0011412919 0.008103173 0.008673819 0.0049075554 0.0051358137 0.0063912347 0.0019401963 0.004451039 0.0051358137 0.00422278 0.0036521342 0.008103173 0.0025108422 0.0036521342 0.003538005 0.004679297 0.027505135 0.07840676 0.019516092 0.004793426 0.0049075554 0.016320474 0.009244464 0.0018260671 0.0014836795 0.008331431 0.0033097467 0.0013695504 0.00057064596 0.0027391007 0.0030814882 0.0022825839 0.00079890434 0.012325953 0.0038803925 0.002396713 0.008103173 0.0050216843 0.010385756 0.005364072 0.0010271628 0.009815111 0.0021684547 0.011070532 0.0003423876 0.0013695504 0.00045651678 0.0003423876 0.03115727 0.00057064596 0.048733167 0.022825839 0.027733395 0.033668112 0.058548275 0.012782469 0.008217302 0.0101574985 0.034923535 0.0012554211 0.0022825839 0.026021456 0.015179182 0.029445332 0.026249714 0.008902078 0.00079890434 0.048961423 0.04930381 0.05695047 0.012211824 0.0069618807 0.0028532299 0.0063912347 0.007989043 0.010956403 0.000114129194 0.0010271628 0.0003423876 0.000114129194 0.00057064596 5.5340085 1.0 0.0 0.0 2.0 51712.0 65536.0 1.0 3.0 142.0 1.0 1.0 0.0 0.0 0.0 1539860900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 14.0 6.0 0.0 6.0 0.0 32256.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32256.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.563746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.278686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3868465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.443574 0.0 4.867062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2108.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32196.0 0.0 480.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 128.0 43824.0 240.0 43952.0 480.0 57344.0 0.0 0.0 0.0 0.0 2108.0 61440.0 84.0 39024.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 39112.0 0.0 0.0 612.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.0066444944 0.0038329314 0.003975495 0.004049832 0.003958184 0.0037687777 0.004055942 0.003944946 0.004062052 0.003876719 0.0039337445 0.003959202 0.0037626678 0.0040712166 0.0040875096 0.0040864917 0.0039622574 0.0038125652 0.003928653 0.0038818105 0.0039785504 0.003860426 0.003870609 0.0039021769 0.00390014 0.0038359864 0.0039174515 0.0038339498 0.0038196933 0.003857371 0.003968367 0.004036594 0.00399688 0.003955129 0.004180176 0.0039042134 0.0039602206 0.0038858838 0.003916433 0.0039011585 0.0039785504 0.0039520743 0.0038614443 0.0038777373 0.0038237667 0.0039317077 0.0038777373 0.0038431145 0.0042321105 0.0037860891 0.0039337445 0.0038237667 0.003860426 0.003903195 0.0038879204 0.003857371 0.0037708143 0.0037158255 0.0038339498 0.0037759058 0.0039602206 0.0037351733 0.0037473931 0.0038227483 0.003987715 0.0039317077 0.0038532978 0.0038135834 0.00382173 0.003922543 0.003867554 0.0038583893 0.0038858838 0.0039093047 0.0038135834 0.0038125652 0.003944946 0.0039500375 0.0038146018 0.003824785 0.003886902 0.0040569603 0.0038940303 0.0037932172 0.0038176568 0.003889957 0.0038288583 0.0038166384 0.0037983088 0.0038695908 0.00391236 0.0038594075 0.0038013638 0.003838023 0.003880792 0.003940873 0.003944946 0.003957166 0.0039133783 0.004100748 0.003940873 0.0038492244 0.0037351733 0.003879774 0.0039622574 0.003889957 0.0038441329 0.0038044187 0.003928653 0.0037066606 0.0037137887 0.0037850707 0.003851261 0.003834968 0.003993825 0.003961239 0.0040315026 0.003867554 0.0042881174 0.0038258033 0.0038400597 0.0037962722 0.0038848654 0.0037891439 0.0037993272 0.0038746824 0.0038196933 0.0038451513 0.0037911807 0.003886902 0.003864499 0.0039174515 0.0038400597 0.0037107337 0.0038319132 0.0037738692 0.0039011585 0.0038451513 0.0038777373 0.003897085 0.004026411 0.0038471879 0.0039887335 0.0038471879 0.0039632753 0.0037901623 0.0039072684 0.0039378176 0.003942909 0.0039500375 0.0038329314 0.0037718327 0.003897085 0.0037860891 0.0037473931 0.0039561475 0.0040050265 0.0037789608 0.0037473931 0.0037616496 0.0038919935 0.0037748876 0.0038268215 0.0038115468 0.0039317077 0.003870609 0.0040814 0.0038655174 0.003908287 0.0038858838 0.003981605 0.0037952538 0.0039642937 0.0038166384 0.0039143963 0.0038655174 0.00391236 0.0037168437 0.003854316 0.0038787555 0.0038909754 0.0038950485 0.004092601 0.0037993272 0.0038461694 0.0038614443 0.0041842493 0.0038614443 0.0039367992 0.0039765136 0.00392458 0.0038583893 0.0040376126 0.0037850707 0.00392458 0.0038237667 0.0038370048 0.003841078 0.003841078 0.004013173 0.0039011585 0.0038298764 0.003860426 0.003886902 0.0038176568 0.00391236 0.0037952538 0.0039052316 0.003941891 0.0038268215 0.003968367 0.0040304842 0.0039642937 0.003959202 0.003993825 0.003955129 0.0038940303 0.0038940303 0.0038298764 0.0038420963 0.003971422 0.0038390413 0.0038471879 0.0038237667 0.004458176 0.0039306893 0.003961239 0.003926616 0.0039928067 0.003959202 0.003857371 0.003889957 0.0038461694 0.0039011585 0.0039826236 0.003959202 0.0039011585 0.0039276346 0.0040447405 0.003942909 0.003880792 0.0037657227 0.0038084919 0.0039378176 0.0039174515 0.0038013638 0.0038288583 0.00406918 0.0039917883 0.003805437 0.00399077 0.0042453483 0.0038207117 0.0037748876 0.003973459 0.003926616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00095260714 2.5484408e-06 2.0387527e-06 1.681971e-05 1.5290645e-05 7.6453225e-06 2.7013471e-05 1.0703451e-05 2.0387527e-06 1.5290644e-06 5.0968816e-07 1.0193763e-06 2.5484408e-06 0.0 5.0968816e-07 1.0193763e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007196797 1.9877838e-05 6.829821e-05 8.664699e-06 2.7013471e-05 1.681971e-05 2.5994095e-05 1.681971e-05 2.4465031e-05 6.625946e-06 5.0968815e-06 1.0703451e-05 1.4271268e-05 5.0968815e-06 5.0459126e-05 2.3955343e-05 0.0006722787 1.5800333e-05 1.7329397e-05 1.6310021e-05 4.5871933e-05 2.5484407e-05 9.88795e-05 5.4026943e-05 1.1722827e-05 1.1213139e-05 1.22325155e-05 7.135634e-06 9.174387e-06 1.22325155e-05 1.4780956e-05 1.936815e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00050917844 4.2813805e-05 5.708507e-05 4.8930062e-05 4.7910686e-05 5.8614136e-05 8.002104e-05 0.00018756524 4.8930062e-05 4.383318e-05 4.943975e-05 0.00018858461 0.00011009264 0.00011213139 0.00025229563 0.00025025688 3.5168483e-05 4.0775052e-05 0.00016411958 0.00016462928 4.8930062e-05 4.4852557e-05 0.00016768741 0.00014882894 5.198819e-05 4.179443e-05 0.00017329397 0.00014424174 8.766636e-05 0.00024516002 0.00034709764 0.00018144898 0.0003185551 6.88079e-05 7.951135e-05 0.000102957005 9.4801995e-05 7.543385e-05 0.0001202864 0.00020948183 8.256948e-05 7.441447e-05 6.829821e-05 0.00016259051 0.00014016424 7.186603e-05 0.00017176491 0.00024617938 0.062158 0.06222579 0.062460754 0.061332814 0.061776754 0.061712533 0.061479095 0.061724253 0.061673287 0.061654937 0.061937306 0.062034145 0.061703358 0.062196735 0.06266565 0.061870024 4407.0 5.642614 24867.0 0.009490489 0.01021434 0.011018619 0.010334983 0.010093698 0.009731773 0.010133913 0.010375196 0.011460972 0.010656694 0.010656694 0.009731773 0.01021434 0.010174126 0.011139261 0.0098926285 0.009249206 0.009048136 0.0115414 0.010334983 0.009812201 0.010576266 0.010294768 0.009249206 0.009410062 0.009771987 0.010616479 0.010495838 0.009530704 0.008887281 0.009932843 0.01021434 0.010053485 0.011460972 0.009530704 0.011058833 0.010737121 0.01021434 0.010093698 0.010294768 0.010536051 0.011460972 0.0098926285 0.010656694 0.010616479 0.010536051 0.010174126 0.010495838 0.009812201 0.010817549 0.009852415 0.009771987 0.010053485 0.0098926285 0.009208992 0.009450275 0.011662042 0.010938191 0.010254554 0.010375196 0.009852415 0.009048136 0.008806853 0.011300117 0.01134033 0.011380545 0.010777336 0.010616479 0.011983753 0.011380545 0.01041541 0.010777336 0.009932843 0.0115011865 0.011058833 0.01041541 0.012225037 0.010495838 0.010294768 0.010817549 0.009208992 0.010133913 0.0132706 0.010857764 0.012225037 0.009691559 0.011460972 0.009128564 0.010777336 0.011702256 0.010978405 0.010616479 0.009932843 0.010334983 0.010053485 0.011018619 6.5807548 1.0 0.0 0.0 16.0 982016.0 991232.0 0.0 0.0 24.0 1.0 1.0 0.0 0.0 0.0 1346857600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 6.0 0.0 5.0 1.0 4.0 0.0 1024.0 512.0 4096.0 3.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 -978944.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5716734 -7.9993935 4.0038595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -732.0 -978568.0 1236.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 986108.0 1168.0 987136.0 0.0 0.0 0.0 0.0 64.0 988308.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 985932.0 0.0 0.0


Input: 0.059594624 0.008072439 0.0057837632 0.004817554 0.0051225303 0.0042534815 0.004064558 0.0057243872 0.006388319 0.003940408 0.003821656 0.0049632946 0.0039269137 0.0050955415 0.0033682392 0.0071521103 0.004450502 0.0038540429 0.003103746 0.003581453 0.0035490661 0.0041914065 0.0032629818 0.0031226384 0.0032737774 0.0032063047 0.003435712 0.0032872718 0.0033898305 0.003551765 0.0033709381 0.0031253374 0.004874231 0.0033169598 0.0032899708 0.0034546044 0.0035274748 0.0035760552 0.0032359927 0.0032413905 0.0032494871 0.0034519054 0.0032413905 0.0035004858 0.0033952284 0.003346648 0.0038945265 0.0033979272 0.004293965 0.0036003455 0.0034788945 0.004577351 0.0031739178 0.0036246357 0.0032818741 0.0032144014 0.0032063047 0.0035787541 0.003373637 0.0036840118 0.0034842924 0.0034519054 0.0033196588 0.0032791751 0.0034842924 0.0038054625 0.0033304545 0.0035328728 0.00393501 0.00448019 0.0034573032 0.003495088 0.0036246357 0.0036030444 0.0032980675 0.0034168195 0.0034761955 0.004005182 0.0036408291 0.0033601425 0.0049174135 0.0032980675 0.0034465075 0.004588146 0.0036057432 0.004110439 0.004393825 0.004123934 0.0035463672 0.0036921084 0.0033979272 0.0034384108 0.003406024 0.0036759148 0.0035058837 0.0036543238 0.0031415308 0.00415902 0.0033709381 0.0040186765 0.004221095 0.0055084745 0.004032171 0.0035787541 0.004156321 0.0047932635 0.004037569 0.0033979272 0.0040267734 0.0037460865 0.0042076 0.004955198 0.0036705171 0.0032467884 0.004515276 0.004242686 0.0060968366 0.00524668 0.0034734968 0.0036921084 0.0034438088 0.0035328728 0.003373637 0.0032413905 0.0034438088 0.0036084421 0.0034087228 0.0034222174 0.0042858687 0.0034680988 0.0033520458 0.004237288 0.0038108604 0.004685307 0.003673216 0.0031442298 0.0036246357 0.00448019 0.0038135594 0.0058647306 0.0034384108 0.004758178 0.0032036058 0.0032197991 0.0032899708 0.0033979272 0.0031550254 0.0034087228 0.0032359927 0.0034195185 0.0032494871 0.003254885 0.0032467884 0.0033385511 0.0030200798 0.0034168195 0.0031415308 0.0033007665 0.003225197 0.0031307351 0.0034195185 0.0033358524 0.0032683795 0.0031577244 0.0033358524 0.0033115621 0.0031307351 0.0032494871 0.0033196588 0.0032764764 0.003522077 0.0036030444 0.003314261 0.0031847134 0.003346648 0.0034222174 0.0031523264 0.0033493468 0.0034114218 0.0033709381 0.003581453 0.0032872718 0.0033331534 0.0032305948 0.0032791751 0.0033061644 0.0033250568 0.0033115621 0.0032359927 0.0035355717 0.0034303141 0.0034384108 0.004655619 0.0037083018 0.0035976465 0.0035490661 0.0035868508 0.0034222174 0.0034276152 0.0035652597 0.0035355717 0.0036516248 0.0032872718 0.0034006261 0.0032737774 0.0032413905 0.003314261 0.003195509 0.0031496275 0.0035490661 0.0032009068 0.0033682392 0.003435712 0.0032899708 0.0034707978 0.0033034654 0.0034734968 0.0034465075 0.0032575838 0.0034276152 0.0032009068 0.0034573032 0.0034168195 0.0032575838 0.0032980675 0.0032629818 0.003163122 0.0033061644 0.003376336 0.0033223578 0.0032710785 0.0031388318 0.004412717 0.003673216 0.0033034654 0.0040240744 0.0037163985 0.0035274748 0.0033169598 0.0032953687 0.003581453 0.003376336 0.0034519054 0.0033871315 0.0034977868 0.0033682392 0.003492389 0.003551765 0.0037110008 0.003492389 0.003136133 0.0033520458 0.0037595811 0.0034492065 0.0039026234 0.009672892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052992078 6.510417e-05 2.170139e-05 9.494358e-06 1.4919705e-05 8.138021e-06 2.4414063e-05 2.3057726e-05 1.8988716e-05 0.0 1.3563368e-06 1.3563368e-06 2.983941e-05 0.0 0.0 3.7977432e-05 0.020373534 0.000249566 0.0002251519 0.00018853082 5.15408e-05 7.324219e-05 0.00018174913 8.138021e-05 0.00015597873 7.324219e-05 0.00010579427 8.816189e-05 0.00012749566 7.5954864e-05 3.390842e-05 0.00013699001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022542318 2.7126736e-05 3.390842e-05 1.0850695e-05 0.00013427735 8.2736544e-05 2.4414063e-05 2.4414063e-05 5.560981e-05 1.2207031e-05 6.781684e-06 1.0850695e-05 1.8988716e-05 4.0690106e-06 4.4759116e-05 3.2552085e-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 0.010926649 7.866754e-05 0.0014553494 0.00030517578 0.00035129124 0.00024278428 0.003378635 0.0019124349 0.0002807617 7.324219e-05 1.6276043e-05 6.917318e-05 3.119575e-05 5.8322483e-05 9.2230905e-05 0.00017225477 0.004532878 1.3563368e-05 0.000390625 0.00013699001 0.00036349826 0.000257704 0.0015964084 0.0007785373 6.64605e-05 5.4253474e-06 5.4253474e-06 1.3563368e-05 2.983941e-05 1.3563368e-06 1.763238e-05 0.00012342665 0.0057644313 6.374783e-05 0.0003716363 0.00016276042 0.00062391494 0.00036892362 0.001832411 0.0009345161 0.00034179687 0.00019802517 3.526476e-05 4.6115452e-05 7.73112e-05 5.4253473e-05 5.2897136e-05 0.00018310547 0.0019341363 4.6115452e-05 0.000100368925 0.00024549695 0.0004082574 0.00015597873 0.0012057835 0.00066867407 0.0002251519 0.00013156467 2.170139e-05 5.8322483e-05 4.747179e-05 2.170139e-05 4.2046442e-05 0.00024278428 0.0010009765 6.64605e-05 0.0001180013 0.00017225477 0.0004380968 0.00020751954 0.00037299262 0.00021972656 3.390842e-05 1.763238e-05 2.3057726e-05 2.4414063e-05 1.6276043e-05 2.57704e-05 1.6276043e-05 2.4414063e-05 0.0010253906 0.00012071397 7.052952e-05 6.23915e-05 0.00021294488 0.0002210829 0.00026041668 0.00018717448 0.0001397027 0.000128852 2.4414063e-05 1.2207031e-05 4.2046442e-05 2.4414063e-05 4.747179e-05 0.00019802517 0.014541287 0.002963596 0.0016818576 0.0021226672 0.0028537326 0.0042087133 0.002585178 0.0031765408 0.006886122 0.0006157769 0.0008666992 0.0014594184 0.0025648328 0.0010904948 0.0022243923 0.005714247 0.010457356 0.0027126735 0.0015435113 0.0026109484 0.0022406685 0.0034179688 0.0028727213 0.0028862846 0.004519314 0.00069986976 0.0012071398 0.0014146593 0.0025702582 0.0013916015 0.0019707573 0.004706489 0.05686035 0.049361166 0.04997423 0.05054389 0.050349936 0.051675078 0.050931804 0.05080431 0.05040826 0.05038791 0.05102539 0.050512694 0.051000975 0.051093206 0.051006403 0.050731067 1802.0 7.5504994 13606.0 0.01293547 0.0070557105 0.0071292077 0.006247244 0.0063942377 0.0072762016 0.0044098194 0.00610025 0.0074966927 0.0077906805 0.005512274 0.0052917833 0.005659268 0.00610025 0.009407614 0.008452154 0.016242834 0.012714978 0.009040129 0.011024548 0.005879759 0.008893135 0.004997795 0.007202705 0.0070557105 0.0072762016 0.007202705 0.005071292 0.006467735 0.005953256 0.0061737467 0.006982214 0.006614729 0.018447744 0.00683522 0.013817433 0.01852124 0.010657063 0.00926062 0.013008967 0.00852565 0.013229458 0.006247244 0.00683522 0.009628105 0.011833015 0.011318536 0.0074966927 0.015287373 0.006320741 0.011392033 0.014258415 0.010142584 0.0074966927 0.009628105 0.009922093 0.0102160815 0.007349699 0.008011172 0.007349699 0.007349699 0.0069087166 0.006614729 0.0069087166 0.00536528 0.017418785 0.006982214 0.016610319 0.016536823 0.035425548 0.0102160815 0.011392033 0.0102160815 0.02609143 0.007717184 0.007349699 0.018741732 0.01293547 0.0194767 0.0316772 0.014111421 0.005585771 0.026973395 0.02146112 0.0316772 0.0120535055 0.0071292077 0.010142584 0.008966632 0.008746142 0.00683522 0.008452154 0.005659268 0.0069087166 0.006247244 0.0060267528 6.392485 0.0 5.0 0.0 5.0 370520.0 376832.0 1.0 0.0 126.0 0.0 1.0 1.0 0.0 0.0 998099000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 0.0 5.0 1.0 4.0 0.0 34816.0 1024.0 4096.0 3.0 0.0 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 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34816.0 0.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.184279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6225595 0.0 7.8822417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34330.0 0.0 327680.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 35504.0 249012.0 49152.0 0.0 0.0 5976.0 286208.0 0.0 0.0 28.0 4624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 528.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.46409255 0.023888221 0.010216346 0.009615385 0.013371394 0.0030048077 0.006610577 0.0015024039 0.0052584135 0.0012019231 0.003155048 0.0010516827 0.0010516827 0.0010516827 0.0022536058 0.0 0.0030048077 0.0036057692 0.0036057692 0.0010516827 0.0022536058 0.0013521635 0.0013521635 0.00060096156 0.0009014423 0.0009014423 0.00045072116 0.0022536058 0.0018028846 0.0 0.00045072116 0.00060096156 0.0064603365 0.0018028846 0.001953125 0.0010516827 0.0012019231 0.00075120194 0.00060096156 0.00060096156 0.0016526442 0.0012019231 0.0012019231 0.0 0.0009014423 0.00015024039 0.013521635 0.00045072116 0.0034555288 0.00045072116 0.00060096156 0.0013521635 0.00075120194 0.00030048078 0.0 0.00075120194 0.0010516827 0.00060096156 0.00060096156 0.00045072116 0.00030048078 0.00015024039 0.00015024039 0.00015024039 0.0025540865 0.006159856 0.0021033655 0.0028545673 0.0022536058 0.0049579325 0.0018028846 0.0012019231 0.0015024039 0.003155048 0.00045072116 0.00030048078 0.0018028846 0.0016526442 0.0024038462 0.0012019231 0.0016526442 0.00015024039 0.0045072115 0.0076622595 0.0067608175 0.0060096155 0.0057091345 0.00045072116 0.0010516827 0.00030048078 0.00015024039 0.00030048078 0.00045072116 0.00015024039 0.00015024039 0.0030048077 0.0010516827 0.016225962 0.0049579325 0.009314904 0.008713942 0.036959134 0.0021033655 0.010366587 0.0012019231 0.028094951 0.00060096156 0.0036057692 0.012920673 0.008112981 0.029597355 0.015775241 0.00390625 0.00075120194 0.017878605 0.011418269 0.029296875 0.009014423 0.0040564905 0.0012019231 0.00075120194 0.010967548 0.00045072116 0.0 0.0 0.00075120194 0.00075120194 0.00030048078 0.0045072115 0.00075120194 0.00045072116 0.00015024039 0.0 0.00015024039 0.00060096156 0.00030048078 0.0 0.00030048078 0.0 0.0 0.00045072116 0.0 0.00015024039 0.00015024039 0.00060096156 0.00075120194 0.0 0.0 0.0 0.00015024039 0.0013521635 0.00015024039 0.00015024039 0.00030048078 0.00015024039 0.0 0.00030048078 0.00015024039 0.0 0.0012019231 0.00015024039 0.00015024039 0.00015024039 0.0 0.0010516827 0.0 0.00015024039 0.0 0.00015024039 0.0 0.0 0.00015024039 0.00015024039 0.00030048078 0.00015024039 0.00015024039 0.00030048078 0.0 0.0 0.0 0.00045072116 0.00015024039 0.00015024039 0.00015024039 0.00030048078 0.00060096156 0.00045072116 0.00015024039 0.00015024039 0.00030048078 0.0 0.00015024039 0.00030048078 0.0 0.0 0.00030048078 0.00015024039 0.00030048078 0.00030048078 0.00015024039 0.00030048078 0.0 0.00030048078 0.0 0.00015024039 0.00030048078 0.00015024039 0.0 0.0 0.00015024039 0.00015024039 0.00015024039 0.00015024039 0.00060096156 0.0 0.0 0.0 0.0 0.0 0.00015024039 0.00015024039 0.0 0.00030048078 0.0 0.00030048078 0.0 0.00015024039 0.00015024039 0.00015024039 0.0 0.00015024039 0.00030048078 0.00030048078 0.0 0.0 0.0 0.00015024039 0.0 0.0 0.00030048078 0.0 0.00030048078 0.00015024039 0.0 0.00015024039 0.0 0.0 0.00015024039 0.00015024039 0.0 0.00015024039 0.0 0.00015024039 0.0 0.00030048078 0.00075120194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12597656 0.0026367188 0.005078125 0.0020507812 0.006152344 0.0064453124 0.034472656 0.016210938 0.0001953125 0.0 0.0 0.0001953125 0.0001953125 0.0 9.765625e-05 0.00029296876 0.1373047 0.008105469 0.011328125 0.0041015623 0.0052734376 0.0072265626 0.0065429686 0.005078125 0.0045898436 0.0032226562 0.0015625 0.0015625 0.0010742188 0.0010742188 0.0009765625 0.0009765625 0.12138672 0.012011719 0.013183594 0.0020507812 0.019433593 0.021386718 0.13886718 0.0680664 0.0005859375 0.0001953125 0.000390625 0.00068359374 0.00078125 9.765625e-05 0.000390625 0.00048828125 0.07841797 0.0049804687 0.0071289064 0.00234375 0.010351563 0.011230469 0.049902342 0.02265625 0.00390625 0.0032226562 0.0013671875 0.001171875 0.0009765625 0.0010742188 0.00078125 0.00048828125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 117.0 16.91453 1979.0 0.0040424457 0.0005053057 0.0010106114 0.0015159171 0.0 0.0005053057 0.0 0.0 0.0 0.0 0.0005053057 0.0 0.0 0.0 0.028802425 0.0 0.0010106114 0.0010106114 0.0010106114 0.0005053057 0.0 0.0005053057 0.0 0.0015159171 0.0 0.0 0.0 0.0 0.0005053057 0.0 0.0005053057 0.0 0.0005053057 0.018696312 0.0045477515 0.0065689743 0.0060636685 0.012632643 0.0025265284 0.0035371399 0.0015159171 0.0065689743 0.0005053057 0.0 0.0020212228 0.0035371399 0.0045477515 0.0015159171 0.0030318343 0.0005053057 0.012632643 0.012127337 0.017180394 0.0176857 0.0045477515 0.0005053057 0.0020212228 0.0 0.0 0.0 0.0 0.0 0.0 0.008590197 0.0010106114 0.043961596 0.016169783 0.026275897 0.023749368 0.11066195 0.0030318343 0.030823648 0.0030318343 0.08337544 0.0005053057 0.010106114 0.03436079 0.02223345 0.08539666 0.043961596 0.009095503 0.0025265284 0.05204649 0.034866095 0.09044972 0.027791815 0.012127337 0.0040424457 0.0015159171 0.028802425 0.0005053057 0.0 0.0 0.0 0.0 0.0 4.82815 0.0 0.0 0.0 1.0 6656.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 4608.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4182959 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.292959 0.0 2.5248158 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4196.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 12300.0 1024.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.027140824 0.0048730136 0.0041283616 0.00403543 0.0047628945 0.0038807439 0.0037018755 0.0037994036 0.0050832587 0.0038513653 0.003633126 0.0036998768 0.004467512 0.0035903575 0.003540994 0.0044283406 0.004312626 0.0035823635 0.0035545838 0.0034924296 0.003984867 0.0038105955 0.0035743692 0.0034774407 0.0038043999 0.0035575817 0.0034778402 0.0034594538 0.0037450437 0.0034614524 0.0034922296 0.0035345985 0.004040626 0.0035048204 0.0035499872 0.0034896317 0.0048894016 0.003570572 0.0034692467 0.0034390688 0.003676894 0.003455257 0.0034722444 0.0036625045 0.003581564 0.0035324001 0.0035627778 0.003435871 0.0036383222 0.0034408674 0.0035212084 0.004165934 0.003571771 0.0035112158 0.0034724444 0.0034748425 0.0036319268 0.0036846881 0.0035234068 0.004022839 0.0035843619 0.003603348 0.0035198093 0.0035493877 0.0039736754 0.0038617577 0.0038305807 0.0037762206 0.0040432243 0.0053284783 0.0038745482 0.004433537 0.004372582 0.0041351565 0.0036009497 0.0035154126 0.0038537637 0.0051248283 0.0036363236 0.0035216082 0.0049731396 0.0041377544 0.0038055992 0.003972676 0.0037360503 0.0041741277 0.004134357 0.0038739487 0.0035427925 0.0038299812 0.0035170114 0.00364132 0.0036730967 0.0039201146 0.0038441706 0.003735051 0.0036165381 0.0037898107 0.0035002239 0.0036675008 0.0038591598 0.0041283616 0.0037986042 0.0034546573 0.004087192 0.0038077976 0.004300435 0.003543392 0.003850566 0.0035363971 0.0037572347 0.003801602 0.0037706248 0.003489232 0.0038121943 0.0038235858 0.005117234 0.0049431617 0.0036311275 0.0036395213 0.003645517 0.003558381 0.0035214082 0.0034610527 0.0037062722 0.0038921353 0.0036133407 0.0034774407 0.0038020017 0.0037340517 0.0034884326 0.0054433937 0.0037928084 0.00455185 0.0034680476 0.0034858345 0.0036533112 0.0053576566 0.0035429923 0.008586081 0.0035395948 0.005626659 0.0034774407 0.0034834363 0.0036051467 0.0034218815 0.0034284766 0.0034454642 0.0035477888 0.0035537845 0.0033811114 0.00355958 0.0035036213 0.003470246 0.0034302752 0.0034572554 0.0035779667 0.0035008234 0.00343767 0.0034222812 0.003571971 0.003619336 0.0034548573 0.0035208086 0.003540794 0.0036043471 0.003455057 0.0034464635 0.0035509865 0.0035058197 0.003490431 0.0035138137 0.003521808 0.0034148865 0.0034210822 0.00350542 0.0036143397 0.003490431 0.0034684471 0.00355978 0.0035793656 0.003452459 0.0036854874 0.0035813642 0.0037788188 0.0035341987 0.0034596536 0.0034288764 0.0035641768 0.003493429 0.003574769 0.0034868338 0.004502886 0.003952491 0.0039163176 0.004059412 0.0040264367 0.0035479886 0.0038175902 0.0041443496 0.0037950068 0.003671098 0.0034736434 0.0035188103 0.005650841 0.003516212 0.0036097432 0.0035701722 0.0036625045 0.0036035478 0.0036151393 0.003539395 0.003618137 0.0034830365 0.0035725706 0.003455057 0.0037048731 0.0035290027 0.0034878328 0.003504021 0.003638722 0.0034870335 0.0034870335 0.0034638506 0.0037864132 0.0034984252 0.0034908308 0.0034574552 0.0037562354 0.0036898842 0.0034414672 0.0034328734 0.006655901 0.003929308 0.003473044 0.004045223 0.0041419514 0.0035316008 0.0034872333 0.0034976257 0.0039656814 0.0035973524 0.0035146133 0.0035945545 0.0037750215 0.0034838358 0.0037264572 0.0035879593 0.004120967 0.003944097 0.003846369 0.0036499137 0.0046361876 0.0036569084 0.004084194 0.01202435 0.0010235414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018821568 8.995969e-06 4.997761e-07 5.997313e-07 5.997313e-07 5.997313e-07 5.997313e-07 5.997313e-07 4.997761e-07 4.997761e-07 4.997761e-07 4.997761e-07 4.997761e-07 4.997761e-07 4.997761e-07 4.997761e-07 0.00035674017 1.9991045e-05 1.7991939e-06 1.5992836e-06 1.7991939e-06 1.5992836e-06 2.0990597e-06 3.4984328e-06 5.7974025e-06 1.2994178e-06 3.3984775e-06 1.6992387e-06 1.3993731e-06 1.6992387e-06 3.698343e-06 1.2994178e-06 0.00050977163 5.0977164e-06 3.5983878e-06 2.199015e-06 1.0895119e-05 8.196328e-06 3.218558e-05 1.3294044e-05 1.3194089e-05 3.8982535e-06 2.4988806e-06 2.29897e-06 1.6992387e-06 2.8987013e-06 7.996418e-07 1.5992836e-06 0.0005024749 1.4393551e-05 1.4693417e-05 1.2994178e-06 1.9191402e-05 7.1967756e-06 8.296283e-06 7.9964175e-06 5.6974477e-06 4.59794e-06 4.897806e-06 1.2994178e-06 3.7982984e-06 3.4984328e-06 1.9991044e-06 1.27942685e-05 0.00089010125 2.698791e-05 1.9391313e-05 2.1690283e-05 6.0572864e-05 1.4293597e-05 2.5988356e-05 2.2889746e-05 2.029091e-05 2.1690283e-05 2.3889297e-05 6.8969102e-06 4.2980746e-06 4.997761e-06 1.2494403e-05 5.1776806e-05 0.0032932246 7.1567934e-05 0.00010935101 4.1481417e-05 0.00035664023 3.6283745e-05 0.00017292253 0.0001196464 5.8573758e-05 8.486198e-05 5.7374295e-05 3.3285087e-05 5.437564e-05 4.1881238e-05 4.7578684e-05 0.0005386587 0.0034892368 4.8578237e-05 0.00021140529 9.48575e-05 0.00045149773 0.00016132773 0.0005443561 0.00031156043 6.4671025e-05 4.438012e-05 8.676113e-05 7.356704e-05 6.0572864e-05 3.998209e-05 3.7583162e-05 0.00021620315 0.0019114437 4.707891e-05 0.00014783377 7.586601e-05 0.00040801722 0.00026658058 0.000997853 0.00051396975 5.727434e-05 3.0886164e-05 2.96867e-05 2.1990149e-05 4.9078015e-05 2.508876e-05 3.3085176e-05 9.2558534e-05 0.0019504263 8.396238e-05 0.00016342678 0.00013044156 0.0005837385 0.00024818882 0.0008134356 0.000419612 7.496642e-05 5.227658e-05 4.637922e-05 3.978218e-05 5.897358e-05 5.1976713e-05 4.9477832e-05 0.00014593462 0.0010776172 6.0173043e-05 8.726091e-05 8.346261e-05 0.0003587393 0.00012064595 0.00034344613 0.00019421299 8.716095e-05 3.538415e-05 4.937788e-05 3.738325e-05 4.957779e-05 5.0577342e-05 5.6974477e-05 0.00017392209 0.0013784824 0.00016052808 8.586153e-05 9.125911e-05 0.0007079828 0.00050317455 0.00024828876 0.0001810189 0.0009583706 6.4571075e-05 6.217215e-05 7.136803e-05 0.0007976426 9.1558984e-05 0.00044789934 0.0009051945 0.0077261385 0.0012948199 0.0013849796 0.0010902116 0.003567302 0.0027660609 0.0013474963 0.0015866891 0.0065360717 0.0005984319 0.00062352064 0.0009517736 0.0036401693 0.00086971035 0.0029522774 0.0064625046 0.009744435 0.0021657296 0.0017072351 0.0019265369 0.0038889577 0.0039080493 0.0014998281 0.0032975227 0.0067843604 0.0006441114 0.00064391154 0.0010584259 0.003553408 0.001107004 0.003149589 0.0063026766 0.054515477 0.054317966 0.05439723 0.054357946 0.054470897 0.054474797 0.0544639 0.054434314 0.05437374 0.054160137 0.05450538 0.054454405 0.05450348 0.054562654 0.05452647 0.05431027 22359.0 6.192227 138452.0 0.012033051 0.008746713 0.008515587 0.008400023 0.010660734 0.009288418 0.009071736 0.009143963 0.009411204 0.00913674 0.008176119 0.008753937 0.008385577 0.009461763 0.01009014 0.0089561725 0.009375091 0.008652818 0.008811718 0.008999509 0.008999509 0.008775605 0.008479473 0.008739491 0.009122295 0.009396759 0.009201745 0.009411204 0.008667264 0.008963395 0.008566146 0.010032358 0.012358073 0.011469679 0.008681709 0.012235288 0.011187993 0.010147922 0.010314044 0.010509057 0.010790743 0.009830122 0.009035623 0.008428914 0.010509057 0.009902349 0.009201745 0.00985179 0.012054719 0.009223413 0.010155144 0.015037702 0.009526768 0.0100106895 0.013427036 0.012841996 0.008645596 0.009194522 0.008291682 0.008934504 0.0089561725 0.009013955 0.009331754 0.010054026 0.0088695 0.015976656 0.009981799 0.013362031 0.012264178 0.022462659 0.010176812 0.01011903 0.011014648 0.016511137 0.009591772 0.009151186 0.014481553 0.011224107 0.014987144 0.016482247 0.010949643 0.008414469 0.0164678 0.013838731 0.020057492 0.011281888 0.00889839 0.009649553 0.009656777 0.009952907 0.009006731 0.008912836 0.00921619 0.008363909 0.008667264 0.008428914 6.5476265 0.0 0.0 0.0 83.0 5003680.0 11386880.0 1.0 51.0 488.0 0.0 1.0 0.0 0.0 0.0 1388468700.0 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 499712.0 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 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -499712.0 0.0 10723328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7888646 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.782277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6157794 0.0 7.9997873 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 116221.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -499302.0 0.0 10721492.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 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 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 1.0 1.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 -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 1.0 -2.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 2.0 1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 1.0 -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 0.0 -1.0 -1.0 0.0 -1.0 1.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -2.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 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 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 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 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 1.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 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 -1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 -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 1.0 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 -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 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1133.0 618896.0 420.0 607500.0 10721492.0 663552.0 0.0 0.0 6592.0 11362304.0 0.0 0.0 28.0 506096.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 565376.0 0.0 0.0 2032.0 503808.0 64.0 607364.0 0.0 0.0


Input: 0.05685813 0.00831685 0.0061810217 0.005662647 0.0057634134 0.0049635163 0.0041989395 0.0054206005 0.0050487 0.005635638 0.0037460108 0.004467996 0.0049520894 0.0031705007 0.004324638 0.0046425187 0.005045584 0.0037678264 0.004935468 0.004159464 0.004354764 0.0031694619 0.004104406 0.0038405443 0.00507571 0.0033450236 0.0031632287 0.0029326093 0.004155309 0.0034385181 0.00378237 0.0037865252 0.006174789 0.0038166512 0.0034852652 0.0030198707 0.0049011866 0.004165697 0.0038405443 0.0037231566 0.0047287415 0.003890408 0.00333048 0.003096744 0.0043693073 0.0037231566 0.0037241955 0.0035787597 0.005519289 0.0039454657 0.0031040157 0.002902483 0.003679526 0.0030728509 0.0026843294 0.0028578136 0.0041698525 0.0033128199 0.0035216243 0.0033522954 0.0040077954 0.0032193256 0.003505003 0.0034561781 0.006609019 0.0039506597 0.0036171963 0.0032193256 0.0041521923 0.0032182867 0.0035444784 0.003060385 0.005000914 0.0037771757 0.003703419 0.003582915 0.004128299 0.0031289475 0.0035610998 0.0034655277 0.005169204 0.0036203128 0.0036494 0.0033325576 0.003933 0.003379305 0.0033637225 0.0035320125 0.0046508294 0.0036390116 0.003805224 0.0035060418 0.0041096006 0.0033834602 0.00368472 0.0037875639 0.005914043 0.0036296623 0.0033398294 0.0029554635 0.0040129893 0.0030479191 0.0032629562 0.003030259 0.004988448 0.0031601123 0.0031954325 0.0030479191 0.0035725269 0.0028297652 0.003083239 0.003193355 0.00450851 0.0032878881 0.003221403 0.0031414134 0.0038883302 0.003324247 0.0032920435 0.003625507 0.004631092 0.0032920435 0.0034821487 0.0031653065 0.0040368824 0.003193355 0.003468644 0.003342946 0.008657586 0.004599927 0.0040140282 0.0035237018 0.0043672295 0.0034385181 0.0030209096 0.003389693 0.0045427913 0.0038332725 0.0029565021 0.0031891996 0.0037283509 0.002795484 0.0028391147 0.0029803952 0.0052388054 0.003204782 0.003499809 0.0030167543 0.0036629047 0.00317985 0.0033003541 0.003265034 0.004544869 0.0028370372 0.0030385696 0.0027040672 0.003517469 0.0032265973 0.0029803952 0.0031476463 0.0050175353 0.0034094309 0.0032671115 0.0027944453 0.0037730203 0.0030074047 0.0030520742 0.0031819278 0.00413661 0.0030032494 0.0031185593 0.00301156 0.0036494 0.0028339205 0.002915988 0.003030259 0.0046684896 0.003108171 0.0038436607 0.0028588525 0.0035652549 0.003149724 0.002987667 0.0031175204 0.0042550364 0.0031424523 0.0033408683 0.0031756947 0.0036504387 0.0031829665 0.0033325576 0.0033471012 0.0067295227 0.0040628533 0.0037200402 0.0033377518 0.0041199885 0.003252568 0.0032993152 0.0032245195 0.0043319096 0.0033263247 0.0031195981 0.0030801226 0.0036473223 0.0029835117 0.0030770062 0.0027934064 0.004249842 0.0032733446 0.0030925886 0.0029959776 0.0037075742 0.0030209096 0.0029326093 0.0029429975 0.0039766305 0.0031102486 0.0027186107 0.0026355046 0.0035340902 0.0029419586 0.0035766822 0.002886901 0.0049572834 0.0032317915 0.0033959262 0.002970007 0.0038073016 0.003066618 0.0032016654 0.0029087162 0.0044461805 0.0054559205 0.0034665663 0.0031299863 0.0037854863 0.0030801226 0.003246335 0.003186083 0.0046186256 0.0033169752 0.0034135862 0.003041686 0.0037428944 0.0030873944 0.0033128199 0.0032494515 0.004351647 0.003030259 0.003186083 0.00286093 0.0040140282 0.0030894722 0.0042249104 0.0045292866 0.01170523 0.0 0.0 0.0 0.0 0.0 1.0400026e-06 3.120008e-06 0.0 1.0400026e-06 2.0800053e-06 0.0 0.0 1.0400026e-06 0.0 1.0400026e-06 0.0020581654 4.1600106e-06 2.0800053e-06 6.240016e-06 5.200013e-06 1.0400026e-06 3.120008e-05 1.1440029e-05 0.0 0.0 1.0400026e-05 0.0 0.0 0.0 0.0 0.0 0.00095316244 2.6000066e-06 6.240016e-06 1.30000335e-05 9.360024e-06 5.7200145e-06 5.2000134e-05 2.2880058e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028709273 3.5880093e-05 2.8080072e-05 1.0920028e-05 2.2360056e-05 3.484009e-05 4.264011e-05 1.8200046e-05 3.5880093e-05 5.200013e-06 9.880026e-06 1.612004e-05 2.6520069e-05 7.2800185e-06 1.7160044e-05 1.30000335e-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 0.0008824423 1.1960031e-05 1.2480032e-05 8.320021e-06 1.3520034e-05 1.612004e-05 1.3520034e-05 1.1440029e-05 1.0920028e-05 1.3520034e-05 6.760017e-06 1.3520034e-05 1.1960031e-05 1.0400026e-05 1.8200046e-05 9.880026e-06 0.0016296841 6.5520166e-05 5.7200148e-05 4.8880123e-05 4.7840123e-05 3.068008e-05 2.2880058e-05 0.00055640144 3.0160078e-05 1.7160044e-05 1.9760051e-05 0.00027820072 2.0800053e-05 0.0002750807 1.6640042e-05 7.80002e-05 0.0007451619 3.7440095e-05 3.4320088e-05 2.0800053e-05 2.2360056e-05 1.7160044e-05 1.4040036e-05 1.1960031e-05 1.6640042e-05 2.2880058e-05 1.924005e-05 1.7680046e-05 6.760017e-06 4.680012e-06 2.2880058e-05 5.096013e-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 0.0013223634 3.7440095e-05 4.316011e-05 6.0320155e-05 4.264011e-05 3.1720083e-05 9.204024e-05 5.876015e-05 3.9520102e-05 5.7720146e-05 4.4200115e-05 4.316011e-05 7.85202e-05 7.80002e-06 8.840023e-06 0.00016172041 0.001172603 6.968018e-05 4.6280118e-05 4.6280118e-05 3.84801e-05 3.7960097e-05 4.7840123e-05 6.0320155e-05 5.2520136e-05 5.096013e-05 6.8640176e-05 5.2000134e-05 7.5400196e-05 1.4560037e-05 4.4200115e-05 0.00025220064 0.004592132 0.00029484075 0.0002735207 0.00026520068 0.00031044078 0.00023972061 0.00033072085 0.0003135608 0.00032760084 0.00035360092 0.00032760084 0.00035360092 0.0005231213 0.00015184039 0.00018720048 0.0007399619 0.0032068482 0.0002745607 0.00030160078 0.00024960065 0.00028964074 0.00028340073 0.0003442409 0.0009365224 0.00040872104 0.0003525609 0.00032552084 0.0006713217 0.0004643612 0.0004368011 0.00017524045 0.00086372223 0.0022583657 0.00018252047 0.00029120073 0.00024596063 0.00029952076 0.00029588075 0.00028652072 0.00040404103 0.00044460114 0.00032396082 0.00024700063 0.0003182408 0.0004622812 0.00016224041 0.00019032048 0.0010420827 0.0003458009 5.460014e-05 4.316011e-05 4.5240115e-05 5.460014e-05 4.8360125e-05 5.3560136e-05 5.2000134e-05 7.072018e-05 4.8360125e-05 3.84801e-05 4.9400125e-05 4.4720113e-05 2.6520069e-05 4.2120108e-05 4.732012e-05 0.099305175 0.06201172 0.06244644 0.05531618 0.060585875 0.05952975 0.05492774 0.0544561 0.060464196 0.053135816 0.052103095 0.052935097 0.056411304 0.05051917 0.056642704 0.053831577 4011.0 5.7043133 22880.0 0.017132867 0.01048951 0.009396853 0.00861014 0.013417833 0.012412587 0.011800699 0.011451049 0.012543706 0.009746503 0.008479021 0.00861014 0.013898602 0.010533216 0.011800699 0.009965035 0.01673951 0.011931818 0.008741259 0.0075611887 0.009833916 0.008479021 0.007823426 0.008347902 0.010270979 0.0084353145 0.009615385 0.008872378 0.011538462 0.00895979 0.009659091 0.009178322 0.018094406 0.0108828675 0.010358391 0.009090909 0.0108828675 0.008828672 0.010751748 0.0083041955 0.014291958 0.011625874 0.009746503 0.00895979 0.011451049 0.009353147 0.011669581 0.009571678 0.014816433 0.009615385 0.009965035 0.009003497 0.012106643 0.00944056 0.009571678 0.00979021 0.01368007 0.009222028 0.010533216 0.009527972 0.011188812 0.009877622 0.010402098 0.010708042 0.017963286 0.011013986 0.009702797 0.008173077 0.013111888 0.008260489 0.009396853 0.0083916085 0.015472028 0.009309441 0.008916084 0.008697553 0.011363637 0.007998251 0.009921329 0.007867133 0.0131993005 0.007998251 0.008697553 0.008828672 0.011407343 0.009396853 0.008260489 0.007910839 0.010926574 0.008828672 0.011888112 0.008479021 0.01131993 0.00895979 0.010008741 0.008741259 6.5545254 0.0 0.0 0.0 14.0 962624.0 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: 0.15394937 0.010986126 0.0050172973 0.0065765902 0.010001233 0.0030794225 0.0046126065 0.0024644083 0.0123728085 0.0022018668 0.0012503355 0.0013721779 0.007542627 0.0012068202 0.001125592 0.0032491316 0.005910808 0.0009993981 0.00083549094 0.0027487073 0.0030431598 0.0016666304 0.00088770915 0.0009022142 0.0031708041 0.001685487 0.0007861738 0.000849996 0.002259887 0.0007687677 0.00077166874 0.00058310304 0.006119681 0.0007339556 0.001699992 0.00078472326 0.005900655 0.00089351117 0.00074701017 0.0005903556 0.0023367638 0.00078472326 0.0005961576 0.0011052849 0.0022816446 0.000706396 0.0012764445 0.000984893 0.004352966 0.002380279 0.0023019516 0.0056845294 0.003233176 0.002423794 0.0023643235 0.0021888122 0.003632065 0.0030808728 0.0021830103 0.004338461 0.003362271 0.0027211476 0.0021873617 0.0026921376 0.0046561216 0.002394784 0.0024992204 0.0023875316 0.0035334306 0.014117766 0.009178797 0.010046199 0.006958073 0.0046358146 0.0014447031 0.0006730344 0.0022207233 0.0146776615 0.0025789982 0.0011908647 0.011722983 0.0030620163 0.0020930788 0.0046329135 0.0029677334 0.0029126143 0.0057004853 0.0046155076 0.0020104002 0.003127289 0.0007861738 0.0010472647 0.0016361699 0.0038496407 0.0023266103 0.0026312163 0.0014650102 0.0040048445 0.0011270425 0.0030446104 0.003862695 0.00959219 0.0018421415 0.0014534062 0.005639564 0.0036204609 0.0072916895 0.000847095 0.003687184 0.0017493092 0.0042543313 0.00404981 0.0029068124 0.00085434754 0.0058788974 0.0041150833 0.010205754 0.009953367 0.002036509 0.0014258466 0.0025543396 0.0015041739 0.00078182225 0.0006933415 0.0016811355 0.00249777 0.0014171435 0.000849996 0.0026138104 0.0009805415 0.0007658667 0.010726485 0.0023106546 0.006129835 0.0012068202 0.00087755563 0.0023788284 0.011460441 0.0011386465 0.036137886 0.0011807112 0.030166155 0.000984893 0.0005149293 0.001811681 0.0005018748 0.00052943436 0.0016100607 0.0012343798 0.00058310304 0.000556994 0.00044385457 0.0013707273 0.00057294953 0.0007310546 0.00049897376 0.0012285778 0.001008101 0.00060486066 0.0006208162 0.0015621941 0.000700594 0.00049317174 0.00064257375 0.0013170587 0.000709297 0.0004815677 0.00044530508 0.0015128768 0.00047141418 0.00052943436 0.0004511071 0.0012227758 0.0004830182 0.0006034101 0.0005381374 0.0015346344 0.0004728647 0.0005381374 0.0005584445 0.0014418021 0.00084129296 0.00069624244 0.00063096976 0.0044806106 0.0011633051 0.0005845536 0.00068463845 0.0016115112 0.00085434754 0.000847095 0.0006759354 0.0054611517 0.002227976 0.002681984 0.0039468245 0.0034667072 0.0006106627 0.00686234 0.0036001538 0.004014998 0.0014983718 0.0012039193 0.0011299435 0.004065766 0.0004859192 0.0034086872 0.0019016123 0.0026196123 0.0017536607 0.0008369415 0.0016086102 0.0023730265 0.001266291 0.0006759354 0.00073830714 0.0037945213 0.0007905253 0.0014490547 0.0012967516 0.002271491 0.00056859804 0.0007107475 0.0007354061 0.002397685 0.0007861738 0.0022917981 0.0005932566 0.0022917981 0.00051637983 0.00057294953 0.00063096976 0.030000798 0.00703495 0.0017957253 0.0028212324 0.005113031 0.0007586142 0.00061501417 0.0006338707 0.0046735276 0.0021380447 0.00058890507 0.0008224364 0.0014418021 0.00071509904 0.0014896687 0.0038119275 0.0026935881 0.0019480285 0.0013982869 0.004827281 0.01832133 0.005674376 0.0079951845 0.082536645 0.011904762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042390367 0.00019545782 8.719308e-05 2.7611142e-05 0.0005972726 2.833775e-05 4.4323147e-05 2.6884532e-05 3.0517578e-05 8.646647e-05 3.633045e-05 4.359654e-05 3.560384e-05 3.0517578e-05 3.778367e-05 0.00040544782 0.052661713 0.0018310547 0.0028533936 0.0014939081 0.0069768997 0.0006474086 0.0036846343 0.0027502151 0.0007324219 0.0015258789 0.0008951823 0.0007055373 0.00045776367 0.000819615 0.0007033575 0.006082444 0.015130905 0.0008624849 0.002616519 0.0009613037 0.0032174247 0.0010150728 0.008621942 0.0050186883 0.00034731912 0.0003393264 0.00017293294 0.00033424015 0.00072370254 0.00019182477 0.00036112466 0.0017518543 0.00877889 0.0002739316 0.0010012672 0.0007055373 0.0022008987 0.0010099865 0.0059734527 0.0031970795 0.00041562034 0.00022452218 0.00015622094 0.00015840077 0.00017220633 0.00018746512 0.00023251488 0.00060962496 0.008413406 0.00011480422 0.0009424119 0.00091407413 0.0032399495 0.0017772856 0.0069383895 0.003872826 0.0002187093 0.00039018903 0.00019109817 0.00017874582 0.00011843727 0.00014677501 0.00031171527 0.00050499325 0.010878064 0.0017707462 0.0028424945 0.024517242 0.0050579254 0.0029638382 0.008441743 0.005584717 0.0024152484 0.0018957229 0.0017707462 0.0017031715 0.0017525809 0.0018419538 0.0023912701 0.0030415852 0.016301474 0.0037078857 0.0024508522 0.002399263 0.006915138 0.0049017044 0.00319272 0.0026383172 0.014629546 0.0016414097 0.0012119839 0.001990182 0.003748576 0.0035763695 0.006403605 0.021017166 0.07011632 0.013632638 0.010262625 0.012308029 0.039047968 0.030192057 0.013193039 0.017869495 0.06696719 0.005350022 0.0051284065 0.0090164915 0.027561733 0.01183864 0.03573463 0.081185475 0.028291974 0.0054626465 0.0043916246 0.0057467506 0.01600429 0.012617566 0.0073874337 0.008382161 0.023949033 0.0024246941 0.0025787354 0.0034811837 0.012054443 0.0048508416 0.012751262 0.026708694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2985.0 20.840872 62210.0 0.044671275 0.0012216686 0.0020896962 0.0005626105 0.0056261052 0.0008680276 0.0009805497 0.0012055939 0.005015271 0.002748754 0.0005304613 0.0008037293 0.009612602 0.0015592348 0.007458608 0.0049188235 0.014145636 0.009725125 0.010143064 0.008535605 0.010335959 0.008535605 0.009066067 0.008262337 0.011380807 0.007940846 0.008664202 0.006478058 0.01089857 0.01205594 0.008439158 0.015270857 0.016588973 0.010786047 0.0048384503 0.008953544 0.009966243 0.0067031025 0.002250442 0.0040829447 0.0062047904 0.0063012377 0.0007876547 0.0007072818 0.0056261052 0.0025397846 0.0038257516 0.001784279 0.009178589 0.0023147403 0.005593956 0.010978943 0.0066066547 0.00504742 0.0066548786 0.003616782 0.005786851 0.0011573702 0.0013020415 0.0006751326 0.002989873 0.00073943095 0.0009001768 0.013165086 0.002748754 0.036473237 0.0061244173 0.026699888 0.030236296 0.07979424 0.008358785 0.010448481 0.015785243 0.03298505 0.001125221 0.0031023952 0.0271339 0.012329208 0.03907732 0.036119595 0.017328404 0.0026201576 0.05187269 0.035058673 0.055505544 0.01808391 0.0035203344 0.005497508 0.007490757 0.00813374 0.0029416492 0.0005626105 0.0029255748 0.0004983122 0.0005786851 0.0004340138 5.743747 0.0 53.0 0.0 4.0 689415.0 700416.0 1.0 2.0 271.0 1.0 1.0 1.0 0.0 0.0 1348454500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 10.0 0.0 5.0 1.0 5.0 1.0 472576.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -41984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 134144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -472576.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.736741 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9270477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9832854 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5083 0.0 4.97623 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 133759.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -472242.0 0.0 6280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -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 -1.0 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 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 0.0 1.0 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 -1.0 1.0 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 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 -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 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 -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 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 -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 1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 159.0 612832.0 320.0 605332.0 6280.0 647168.0 0.0 0.0 7320.0 681984.0 32556.0 655360.0 28.0 482080.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 527168.0 0.0 0.0 1144.0 479232.0 128.0 604008.0 0.0 0.0