Input: 0.06900722 0.0032488098 0.0029800753 0.0033495855 0.002759329 0.0027737254 0.002586571 0.0028936963 0.0028121162 0.0026057663 0.0027977196 0.002701743 0.0029128916 0.0026921453 0.0026873464 0.0028553056 0.0029992706 0.0025385825 0.002759329 0.0026489557 0.0028840986 0.002644157 0.0028025184 0.0025817722 0.0028409092 0.0028073173 0.0026633523 0.0026105652 0.0027785243 0.0027257372 0.0026633523 0.0025721744 0.003071253 0.0026105652 0.0028265126 0.0028073173 0.003272804 0.0027449324 0.0026009674 0.0029128916 0.0029080927 0.0029032938 0.0026681512 0.0029944717 0.0025145884 0.0026249615 0.0024330083 0.0028121162 0.0029032938 0.002644157 0.002586571 0.0037478886 0.0027833232 0.0028121162 0.0026585534 0.0027209383 0.0027833232 0.0029320868 0.0028888974 0.0030904484 0.0028984952 0.0028457078 0.0027785243 0.0027785243 0.0029224893 0.0026921453 0.0027689266 0.0027785243 0.0027929207 0.0028409092 0.0029992706 0.002730536 0.0029176904 0.0028936963 0.0029608798 0.0027161394 0.0029656787 0.0028888974 0.0031528333 0.002788122 0.0028265126 0.0028409092 0.0029368857 0.002730536 0.0029080927 0.0027977196 0.0029704776 0.0026873464 0.0025913697 0.0029320868 0.0028169148 0.0027977196 0.0027929207 0.0029176904 0.0029656787 0.0029272882 0.0030136672 0.0028505067 0.0031096437 0.0031816263 0.0030616554 0.0032056205 0.0031336378 0.0026537545 0.0029896728 0.003215218 0.0029272882 0.0027641277 0.0029704776 0.0028553056 0.0028601044 0.0032248157 0.0025673755 0.0027833232 0.0033159936 0.0032344135 0.0030664543 0.0030376613 0.0028217137 0.0027065417 0.0030760518 0.0029512823 0.0028361103 0.0028409092 0.0026969442 0.0028505067 0.0029272882 0.0026489557 0.0033351888 0.0026585534 0.0027113406 0.0027929207 0.0027161394 0.0027449324 0.0028121162 0.0025913697 0.0029608798 0.003100046 0.0029752764 0.0032296146 0.0028217137 0.0028888974 0.0029560812 0.0028792997 0.0029608798 0.0028121162 0.0029656787 0.0027257372 0.0028073173 0.0027449324 0.0027401336 0.0029080927 0.0029896728 0.0033447866 0.002788122 0.0028601044 0.0028505067 0.0028553056 0.0031336378 0.0029080927 0.0027737254 0.002759329 0.0027833232 0.0027689266 0.0027353347 0.0026345593 0.002730536 0.0030616554 0.0029224893 0.0029992706 0.0028553056 0.0028025184 0.0028169148 0.0029272882 0.0028936963 0.0030520577 0.0030280636 0.0027689266 0.0032967983 0.0031816263 0.0029560812 0.0028361103 0.0030328624 0.0028265126 0.17291635 0.0031336378 0.0029128916 0.005024378 0.0029464834 0.002788122 0.0028745008 0.0030088683 0.0030760518 0.0028936963 0.0029032938 0.0026681512 0.0031672297 0.0028169148 0.002759329 0.0030664543 0.0028984952 0.0030568566 0.0028409092 0.0030040694 0.0029896728 0.0031768274 0.0031240403 0.0031624308 0.0031816263 0.0031240403 0.0029368857 0.0030232647 0.0032296146 0.0029992706 0.0029512823 0.0028792997 0.0030040694 0.0028457078 0.0029080927 0.0028169148 0.0031768274 0.0030664543 0.0030520577 0.0030760518 0.003531941 0.0028649033 0.0029608798 0.0029080927 0.0030808507 0.0032872006 0.003157632 0.0033063958 0.0033975737 0.0033159936 0.003244011 0.0039830315 0.0035223435 0.0029032938 0.0032584076 0.0030664543 0.0030616554 0.003071253 0.0032248157 0.0033063958 0.0030040694 0.0029992706 0.0032344135 0.003671107 0.0031960227 0.0032296146 0.0029176904 0.0031528333 0.0030040694 0.0031432356 0.0028840986 0.01624405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0069374614 3.625851e-05 3.625851e-05 0.00013053064 0.00013294787 6.2848085e-05 0.00028765082 0.00014745127 0.00011844446 0.00011119276 7.251702e-05 0.00030698872 9.427212e-05 0.0001281134 0.00025139234 0.0010466623 0.0066498104 9.185489e-05 8.943766e-05 0.00046652614 0.00010877552 0.00014503404 0.00016678913 8.943766e-05 0.00016195467 2.6589572e-05 4.834468e-05 0.00095722463 0.00017162361 0.00014019957 0.00017887531 0.00040851254 0.00583762 9.668936e-05 0.00012569617 0.0006744083 9.185489e-05 0.00016195467 0.00019579595 0.0001426168 0.00016678913 7.0099784e-05 1.9337871e-05 0.0011409344 0.00013294787 0.00012327894 0.00018370978 0.00073725637 0.009480392 5.8013615e-05 6.526532e-05 7.493425e-05 9.910659e-05 0.0001643719 0.00017887531 0.00022963723 0.00035775063 0.00052212254 0.00033599552 0.000971728 0.00057530164 0.0006212291 0.0012013653 0.0048658918 0.009187906 0.00014019957 0.00019096148 0.00012569617 0.00023688893 0.0002924853 0.00044718827 0.00040851254 0.00026589574 0.00038434018 0.00054629485 0.0008049389 0.0007420908 0.0010925897 0.001539778 0.0033962138 0.016545966 0.0004060953 0.00052453973 0.0006792427 0.0006067257 0.0009886486 0.0011916963 0.0009959004 0.0012883857 0.00083636295 0.00089921104 0.0016920638 0.0017283222 0.0022697826 0.0029925355 0.0059584817 0.009598836 0.00034566445 0.0003915919 0.00043026762 0.00048102954 0.00076868036 0.00089921104 0.0007783493 0.00067682547 0.0008001044 0.0007203357 0.0014406714 0.001208617 0.0016316329 0.0017476601 0.002832998 0.0012593789 3.1424042e-05 0.00028765082 0.00011844446 8.218595e-05 0.00016678913 0.00042543316 0.00028765082 0.00011119276 0.000120861696 6.2848085e-05 0.0001353651 0.00018370978 0.0002199683 0.00023205446 0.0012255376 0.03538347 0.03557685 0.03608205 0.03673954 0.037082784 0.036326192 0.037322093 0.036594503 0.036360033 0.036899075 0.036471225 0.18176149 0.03640596 0.035755724 0.036915995 0.036045793 0.0066764 0.0070003094 0.0069108717 0.006480604 0.007159847 0.006574876 0.0067610033 0.006756169 0.0069567994 0.006840772 0.006666731 0.031917155 0.006683652 0.006635307 0.0069108717 0.0067319963 114.0 11.903509 1357.0 0.04347826 0.0029476788 0.0029476788 0.010316876 0.008106116 0.012527634 0.0 0.02137067 0.0058953576 0.0014738394 0.0029476788 0.0058953576 0.004421518 0.009579956 0.011053795 0.008106116 0.0029476788 0.0066322773 0.005158438 0.012527634 0.004421518 0.0066322773 0.002210759 0.004421518 0.009579956 0.007369197 0.009579956 0.0014738394 0.018422991 0.008843036 0.009579956 0.0036845985 0.0066322773 0.0066322773 0.002210759 0.0066322773 0.005158438 0.004421518 0.011053795 0.013264555 0.008106116 0.0036845985 0.013264555 0.0036845985 0.008106116 0.0066322773 0.008106116 0.0029476788 0.0058953576 0.010316876 0.012527634 0.009579956 0.013264555 0.008106116 0.014738394 0.0036845985 0.0014738394 0.007369197 0.0014738394 0.0066322773 0.008843036 0.010316876 0.019896831 0.004421518 0.0066322773 0.035372145 0.009579956 0.029476788 0.019896831 0.054532055 0.010316876 0.009579956 0.014001474 0.030213706 0.0066322773 0.002210759 0.028739868 0.030213706 0.02137067 0.02137067 0.0029476788 0.004421518 0.033898305 0.036845982 0.024318349 0.013264555 0.008106116 0.0007369197 0.004421518 0.008106116 0.0036845985 0.0 0.0014738394 0.011053795 0.0029476788 0.0 6.054923 0.0 0.0 0.0 4.0 208384.0 225280.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1539751300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 -179712.0 0.0 26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.134428 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7562666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.111029 0.0 4.793433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -179212.0 0.0 26200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 184396.0 26200.0 192512.0 0.0 0.0 0.0 0.0 48.0 221184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 184320.0 0.0 0.0 0.0 0.0


Input: 0.21883385 0.011877695 0.012432045 0.011852923 0.011555662 0.010998635 0.01082791 0.013068075 0.014741169 0.005602421 0.009466137 0.0036916526 0.0089392355 0.0015043785 0.001246619 0.0022783268 0.004838515 0.0018699284 0.0012988404 0.0008569669 0.001802978 0.002374066 0.0012245253 0.0007203878 0.0017253153 0.0009111968 0.0005342653 0.00054296886 0.0012419325 0.0010263517 0.00049342547 0.00052221416 0.0046785036 0.0009493586 0.000874374 0.000684904 0.0056733885 0.0010645136 0.0010069361 0.00042781394 0.0017360274 0.00057510514 0.0008629924 0.006099194 0.0012847808 0.0009453416 0.0010143006 0.0009098578 0.0067332154 0.0068309633 0.001934201 0.0021377306 0.0010812512 0.0007987199 0.0010149701 0.0016362711 0.001938218 0.0015391929 0.0011575748 0.0015170992 0.0009058408 0.0010812512 0.0009640877 0.0005094936 0.0038951822 0.0026586058 0.0030429019 0.0027918373 0.0041629844 0.003619346 0.0020065075 0.00093195145 0.0016483222 0.0027697438 0.00069494656 0.0006340216 0.0022066897 0.0018230631 0.0014809459 0.0016965267 0.00492689 0.0017728502 0.0022073593 0.0033247636 0.0022314615 0.0036856271 0.0138319805 0.002637851 0.0009560537 0.0011970756 0.0005489944 0.0014508181 0.009450069 0.0023901341 0.002185935 0.0022582416 0.0011823465 0.003496157 0.0063556144 0.0030181303 0.0028246432 0.0067847674 0.0020245842 0.0015693206 0.0037539166 0.0040411344 0.0025026111 0.000806754 0.0029150264 0.0015994484 0.0035149031 0.0044401595 0.0024845344 0.000621301 0.0050835544 0.0037673067 0.007934977 0.004535899 0.0011950671 0.0010892852 0.0011756514 0.0028768645 0.006446667 0.0020286012 0.0012205082 0.0011307945 0.0011087009 0.00057979167 0.060631745 0.058993466 0.0013771725 0.0039922604 0.001181677 0.0029438152 0.0032290244 0.009890603 0.001616186 0.0036387616 0.0008696875 0.012681101 0.000871696 0.0042614015 0.0006112584 0.00052823976 0.0037371789 0.00062665704 0.00091588334 0.00071436225 0.0009232479 0.0006882515 0.0009265954 0.00052556174 0.00067820895 0.0007572106 0.00045660266 0.00040772877 0.000686243 0.00043986502 0.0012921453 0.0005155191 0.00079269434 0.0008060845 0.00081813557 0.0012754077 0.008488659 0.011838864 0.0011656089 0.0011562358 0.00069628557 0.0005235532 0.0015097347 0.011211537 0.01203369 0.0012774162 0.0007009721 0.000567071 0.0009473501 0.00056974904 0.003294636 0.0016181945 0.0006112584 0.00046932328 0.00067620043 0.00049141695 0.0011535578 0.0010109531 0.0006969551 0.0005302483 0.0006018853 0.00040170323 0.0005884952 0.000621301 0.0041777133 0.0011127179 0.0014401061 0.0018103425 0.0012961624 0.0005001205 0.0010035885 0.0015318283 0.0012131437 0.0010397418 0.00056841003 0.0005349348 0.0025896467 0.00047668783 0.0010712086 0.0009091883 0.00292373 0.0015298198 0.0007203878 0.00072641333 0.00069427706 0.0005141801 0.0033107041 0.010924988 0.00086767896 0.00045861118 0.00038898262 0.000560376 0.00072641333 0.0003119895 0.0005376128 0.00040572026 0.0011455237 0.0007558716 0.00050279853 0.0004124153 0.0007237353 0.00033207468 0.00093730754 0.000496773 0.0049844673 0.00090048474 0.00039500816 0.0015304893 0.0012814333 0.00050681556 0.0003842961 0.00057912216 0.0018498433 0.00080206746 0.00074181193 0.0006474117 0.0007223963 0.0003521598 0.00080206746 0.00064406416 0.0013544094 0.00066548836 0.00035483786 0.000438526 0.0011749819 0.00039701667 0.0006514287 0.05820412 0.047974218 2.144818e-05 3.6864062e-06 1.3405113e-06 5.697173e-06 5.362045e-06 1.4745625e-05 9.38358e-06 1.3405113e-06 1.0053835e-06 0.0 3.3512782e-07 1.0053835e-06 0.0 6.7025564e-07 3.6864062e-06 0.011089045 0.00012265678 4.155585e-05 2.6139971e-05 0.0001119327 4.490713e-05 5.563122e-05 2.3794077e-05 3.552355e-05 2.010767e-06 3.6864062e-06 4.021534e-06 1.7426648e-05 4.021534e-06 2.010767e-06 8.344683e-05 0.01746988 0.00018130416 9.6851945e-05 0.00011628936 0.00050972943 0.00035389498 6.300403e-05 4.021534e-05 0.000109251676 5.7641988e-05 3.0496632e-05 3.6528934e-05 3.8874827e-05 1.2064602e-05 3.6528934e-05 6.50148e-05 0.00946468 0.00047487614 0.00025235125 9.0819645e-05 0.00017962852 8.713324e-05 5.89825e-05 4.5242257e-05 7.70794e-05 5.4625838e-05 2.949125e-05 3.25074e-05 3.85397e-05 3.1502015e-05 2.6139971e-05 3.7869446e-05 0.014558959 0.00035959217 0.00041354774 0.00037735395 0.00038137546 0.0011840066 0.0003746729 0.001779864 0.019560406 0.00024095691 0.003444779 4.0885596e-05 0.00023861101 5.2279942e-05 6.50148e-05 0.00016722879 0.008741139 0.00020208208 0.0006538344 0.00035087884 0.00045845486 0.0029300225 0.00038372137 0.0019822812 0.035142846 0.00027648045 0.007832273 0.0001156191 0.00015214803 0.0002349246 4.9934046e-05 0.00020509823 0.017858962 0.00042293133 0.0007144925 0.0003709865 0.00045811976 0.003114678 0.0031649473 0.0010606796 0.016767116 0.000104559884 0.004844943 0.00018901209 0.00015114265 0.0006608721 0.00012399729 0.0042135622 0.048429657 0.00090048846 0.0016746338 0.0014058612 0.0037701882 0.0053623803 0.013074007 0.010411751 0.023628188 0.0004215908 0.011367871 0.0020379124 0.0011340725 0.006278955 0.0013314629 0.016334465 0.06521521 0.0014742273 0.0039652325 0.004375764 0.0033760779 0.006813484 0.0076177907 0.0058952337 0.019799687 0.0038204573 0.013182923 0.004213227 0.003098592 0.006147585 0.0016538559 0.025054157 0.022221992 0.0021250455 0.0042206 0.004210546 0.0033415596 0.0078982925 0.008401319 0.0049300655 0.014754338 0.00076040503 0.0069006174 0.0010868196 0.00060725166 0.0034380765 0.00044873616 0.0018197441 0.014066655 0.001187693 0.002312382 0.005304403 0.0018984992 0.005569489 0.006278285 0.0028137332 0.0052514533 0.0006876823 0.002189055 0.0009691897 0.00066187745 0.0023737105 0.00032507398 0.0016454776 0.0094918255 0.0010241506 0.0013073337 0.0020667333 0.0012630968 0.0010080645 0.0013756998 0.0013227495 0.0013049878 0.0005797711 0.0006085921 0.00033412245 0.00050001073 0.00064646156 0.00043533105 0.0007530322 0.009166417 0.0012191951 0.0013110201 0.0023194198 0.0012691291 0.0012808585 0.001271475 0.0015171237 0.0017517132 0.00073158403 0.00056301476 0.0005646904 0.0010137617 0.00061965134 0.0009923135 0.0018623053 0.022063142 0.0049736323 0.0047725555 0.0034652217 0.0074944636 0.008190859 0.003481643 0.004750437 0.012154751 0.0024367145 0.0011592072 0.0014008343 0.0048452783 0.001672623 0.0034464546 0.0070346682 0.030146088 0.0071559846 0.0067990734 0.0071636927 0.011344077 0.011123898 0.005010831 0.006590959 0.017070742 0.0038831262 0.0026089703 0.0031180293 0.008701929 0.0033650186 0.006866099 0.010437892 0.00030195017 0.0001588506 0.00026910764 0.00016655853 0.00023190846 0.0001481265 0.00023894614 0.0001457806 9.517631e-05 0.00024732435 0.00015683983 0.00015248316 9.6851945e-05 9.2495284e-05 8.110094e-05 0.00016186674 7943.0 15.671283 124477.0 0.019818923 0.0014862183 0.0015022856 0.001180941 0.004683596 0.0021690754 0.0005623529 0.00071499153 0.00093993265 0.00079532765 0.0019039662 0.04903717 0.0031250753 0.00431405 0.004482756 0.0009881343 0.007214184 0.069048904 0.014910385 0.0029483358 0.002699294 0.0019119998 0.0022092434 0.011568402 0.011263125 0.002924235 0.0010122352 0.0017914956 0.0011889747 0.0024823863 0.006017176 0.0013416134 0.0030126048 0.009945612 0.0031491762 0.010797176 0.015962789 0.010050049 0.003896302 0.004410453 0.0045148903 0.009110116 0.0014540838 0.002385983 0.0068285707 0.0062983525 0.0052780835 0.0087968055 0.011512167 0.0029162015 0.00796131 0.013102822 0.008845007 0.019497577 0.08223206 0.007174016 0.0022253108 0.0013335797 0.00073909236 0.0032536131 0.056203153 0.0031652434 0.0008354957 0.007969344 0.0008274621 0.023233207 0.04424914 0.019352973 0.012966251 0.050467156 0.006844638 0.008459394 0.008322823 0.026647493 0.0015344201 0.0020164368 0.017159797 0.009222588 0.022719057 0.027491022 0.009624268 0.0003856134 0.031226652 0.022180805 0.03807129 0.011415764 0.0039043357 0.004828201 0.002843899 0.007840806 0.005245949 0.0018798653 0.0017995292 0.00090779824 0.002884067 0.00035347894 5.6094303 0.0 13.0 0.0 12.0 1493640.0 401408.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1192118100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 217088.0 4096.0 4096.0 8.0 0.0 0.0 2.0 2.0 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 -49152.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 -86016.0 -131072.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.41381684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1145706 -5.5421796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6118636 0.0 0.0 -5.2565947 0.0 0.0 0.0 0.0 0.0 -6.699877 -5.698465 3.41914 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 -45632.0 -6464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74920.0 0.0 0.0 -14413.0 0.0 0.0 0.0 0.0 0.0 -83609.0 -129320.0 1080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1080.0 385024.0 0.0 0.0 0.0 0.0 12.0 393216.0 28.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8192.0


Input: 0.056708496 0.008300144 0.006170972 0.005647745 0.0057523903 0.0049639232 0.0041972143 0.0054146238 0.005051991 0.0056332396 0.0037485857 0.0044676345 0.0049452735 0.0031776982 0.0043225815 0.0046313372 0.00503645 0.003762055 0.00492766 0.00415059 0.004351592 0.0031725178 0.00410811 0.0038439063 0.0050820378 0.0033434732 0.0031663012 0.0029279997 0.0041557704 0.00343983 0.0037807047 0.0037889935 0.0061782245 0.0038128234 0.0034843818 0.0030274647 0.004888288 0.004161987 0.0038366537 0.003716467 0.004732874 0.003895711 0.0033341483 0.003096883 0.0043743863 0.003720611 0.0037226833 0.0035910995 0.0055078724 0.003950624 0.0030999912 0.0029000253 0.003675023 0.0030782335 0.0026855539 0.0028596176 0.0041775284 0.003318607 0.0035268618 0.0033610868 0.00399414 0.0032253587 0.0035040677 0.003451227 0.006593698 0.0039558043 0.0036159658 0.0032326113 0.004151626 0.00321707 0.0035475837 0.0030647642 0.004995006 0.0037765603 0.0037040338 0.0035817747 0.00413194 0.0031258937 0.0035589805 0.0034688406 0.0051680338 0.0036335795 0.0036511929 0.0033351844 0.0039267936 0.0033859531 0.003364195 0.0035372227 0.0046437704 0.0036439402 0.0038055708 0.003519609 0.0041122544 0.0033890614 0.0036926367 0.0037889935 0.0059088403 0.0036242546 0.0033434732 0.0029549382 0.004005537 0.0030554393 0.0032678384 0.0030357535 0.004974284 0.0031714817 0.003207745 0.0030554393 0.0035797025 0.0028440761 0.003096883 0.0031890953 0.004514259 0.0032864881 0.003228467 0.0031435073 0.0038936387 0.0033362205 0.0032916686 0.003628399 0.004618904 0.0032906325 0.0034709128 0.003163193 0.0040428364 0.003197384 0.003472985 0.0033486537 0.008643091 0.0045992183 0.004019006 0.0035237535 0.0043743863 0.0034346494 0.0030171038 0.0033880253 0.004546378 0.003828365 0.0029580465 0.0031953119 0.0037237194 0.0027995242 0.0028451122 0.0029829128 0.0052374518 0.0032056728 0.0034905984 0.0030336813 0.0036594816 0.0031787343 0.0033154988 0.0032657662 0.00454845 0.0028399318 0.0030430062 0.0027062758 0.003518573 0.003228467 0.0029870572 0.0031580126 0.005006403 0.0034108192 0.0032792354 0.0027984881 0.0037755242 0.0030150316 0.0030564754 0.003187023 0.0041433373 0.0029880933 0.0031165688 0.0030129594 0.0036501568 0.002838896 0.0029114224 0.003039898 0.004672781 0.0031238215 0.0038428702 0.0028606537 0.0035610527 0.00315076 0.0029912016 0.0031248576 0.0042500547 0.0031549043 0.0033362205 0.0031776982 0.003652229 0.0031839148 0.003318607 0.0033496898 0.0067221737 0.004059414 0.0037268277 0.0033320761 0.0041143266 0.0032574774 0.0033103183 0.003228467 0.004328798 0.0033217152 0.0031144966 0.0030751252 0.003641868 0.002986021 0.0030803054 0.002797452 0.0042490186 0.0032761272 0.003087558 0.002996382 0.0037154309 0.0030181399 0.0029290358 0.0029362885 0.0039682374 0.003109316 0.0027332143 0.0026378937 0.0035372227 0.0029539021 0.0035838468 0.0028886283 0.0049473457 0.0032357196 0.0033900975 0.0029777323 0.003818004 0.0030720169 0.0031994563 0.0029041697 0.004441732 0.0054560676 0.0034678045 0.0031331463 0.0037775964 0.0030699447 0.0032408999 0.003184951 0.004606471 0.0033217152 0.0034232524 0.0030378257 0.0037485857 0.0030906664 0.0033092822 0.003241936 0.0043547004 0.0030264286 0.0031787343 0.0028616898 0.004019006 0.0030948108 0.0042314054 0.004517367 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09919011 0.062008604 0.06244863 0.05531329 0.060607586 0.0595755 0.05497912 0.05448098 0.06046904 0.053191002 0.05212519 0.05295283 0.0564092 0.05054619 0.056616757 0.053825613 4026.0 5.702931 22960.0 0.017116725 0.010452962 0.00945122 0.008667247 0.013458188 0.012456446 0.011716028 0.011454704 0.012587108 0.009799652 0.008449477 0.008623693 0.013893728 0.010583623 0.011759582 0.009886759 0.016768293 0.0118466895 0.008754356 0.0075348434 0.009799652 0.008536586 0.0077961674 0.008405923 0.0103223 0.008536586 0.009538327 0.008841463 0.0114982575 0.009015679 0.009625436 0.009189895 0.017987804 0.010888502 0.010409407 0.009102788 0.010801394 0.008885018 0.010670732 0.00836237 0.014198606 0.01162892 0.009756098 0.009015679 0.01141115 0.009364111 0.0116724735 0.009581882 0.014764808 0.009625436 0.009930314 0.009059234 0.012108014 0.009407666 0.009581882 0.009799652 0.013763066 0.009189895 0.010496516 0.009625436 0.011106272 0.009843206 0.010409407 0.010670732 0.017900696 0.0109756095 0.009668989 0.008144599 0.013066202 0.008231707 0.009364111 0.008405923 0.015418119 0.009364111 0.008885018 0.008667247 0.0113240415 0.008013938 0.009886759 0.007970383 0.013283972 0.008013938 0.008710802 0.008754356 0.011454704 0.009494773 0.008188154 0.007883275 0.010932055 0.008885018 0.011977352 0.008536586 0.01119338 0.009102788 0.009930314 0.008885018 6.5549164 0.0 0.0 0.0 14.0 965164.0 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: 0.3146785 0.012300932 0.0053460537 0.0047450922 0.008776543 0.0033678885 0.0035932492 0.0033616286 0.011255509 0.0022849059 0.0026166867 0.0016150841 0.0077812 0.0024038462 0.0015337039 0.0061222957 0.0064916364 0.0011017629 0.0011268029 0.0008388421 0.0029422075 0.0036182893 0.0008263221 0.0006698217 0.001940605 0.0008513622 0.00056340144 0.0006510417 0.0024789663 0.0012394831 0.0013083434 0.0010454226 0.0061974158 0.0008638822 0.0008638822 0.0010391626 0.006516677 0.0012332231 0.0006260016 0.00060722156 0.0008576222 0.00045072116 0.0005008013 0.001158103 0.0010642027 0.0006573017 0.001183143 0.0005133213 0.0018467047 0.0008513622 0.0015963041 0.0033678885 0.0012707833 0.0024101061 0.0005947015 0.0005446214 0.0015149239 0.0018467047 0.0010516827 0.0032489484 0.0012895633 0.0017027244 0.0006447816 0.00075746194 0.0028044872 0.013058393 0.0014836238 0.0022285657 0.010516827 0.0116937095 0.0041316105 0.0019593851 0.002378806 0.0015024039 0.0005258414 0.0006573017 0.0021847456 0.008256962 0.0019844251 0.001558744 0.014160156 0.0024601864 0.0014210236 0.005715395 0.002366286 0.0033491086 0.006641877 0.004782652 0.0016213441 0.007292919 0.00045072116 0.0020219851 0.0009139623 0.002754407 0.0045322515 0.0032113881 0.00056966144 0.0038248699 0.0006385216 0.0014711038 0.0027231069 0.0065479768 0.007969 0.0010016026 0.005978315 0.003493089 0.00811924 0.00075120194 0.0026166867 0.0015963041 0.0034179688 0.00400015 0.0016964644 0.0005195813 0.0042004706 0.0031112279 0.014642177 0.01183769 0.001565004 0.0009953425 0.0013396434 0.0009327424 0.00036308094 0.00036308094 0.0018216646 0.0029860276 0.0016964644 0.00088892225 0.0050706128 0.0016463842 0.0025353064 0.012038011 0.0038436498 0.0059219752 0.00047576122 0.00040690103 0.0020470251 0.007468199 0.0022974259 0.01957507 0.0009703025 0.012469952 0.00055088144 0.00061348156 0.0009703025 0.00032552084 0.00036934094 0.0003130008 0.0007136418 0.00040690103 0.00023788061 0.0002316206 0.00041316106 0.0006385216 0.00036934094 0.0002316206 0.00049454125 0.00033178084 0.0007386819 0.00032552084 0.0026730269 0.0021659655 0.001170623 0.0014711038 0.0008951823 0.00094526244 0.0004256811 0.0004319411 0.0012144431 0.00047576122 0.0012394831 0.0027356271 0.0013772035 0.00033178084 0.00040690103 0.0003505609 0.0020345051 0.00055088144 0.0009139623 0.001158103 0.00061974156 0.00076372194 0.0009765625 0.0010454226 0.0016651643 0.0012895633 0.0005821815 0.00047576122 0.0008576222 0.00029422075 0.0009390024 0.0020845854 0.009458885 0.0024664463 0.0020470251 0.0066982172 0.0038999899 0.000394381 0.003167568 0.0029860276 0.0017340245 0.0027919672 0.0007136418 0.0009077023 0.0021158855 0.0006260016 0.0014836238 0.00096404244 0.0017215044 0.0009327424 0.00088892225 0.0010516827 0.0010016026 0.0003568209 0.0011330629 0.0009077023 0.0035369091 0.004331931 0.00040690103 0.0016276041 0.0015086639 0.0018592248 0.00055714144 0.0007261619 0.0021659655 0.0005195813 0.00043820112 0.00033178084 0.0013333834 0.00027544072 0.00045072116 0.00027544072 0.019994492 0.001940605 0.00034430088 0.0048828125 0.004250551 0.0003568209 0.00080754206 0.00036308094 0.0031362681 0.001183143 0.00049454125 0.0008263221 0.0024038462 0.0003192608 0.0021910055 0.0017027244 0.004982973 0.0010579427 0.00075746194 0.00088266225 0.0044571315 0.00076372194 0.0032113881 0.045641776 0.070882685 0.0 3.1502016e-06 0.0 6.300403e-06 0.0 3.1502016e-06 6.300403e-06 1.2600806e-05 6.300403e-06 2.2051412e-05 0.0 3.1502016e-06 9.450605e-06 6.300403e-06 6.300403e-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 0.0058656754 0.00010080645 3.4652217e-05 1.5751008e-05 0.00012285786 6.300403e-06 6.300403e-06 2.2051412e-05 3.780242e-05 6.300403e-06 9.135585e-05 1.2600806e-05 0.0 2.5201613e-05 1.2600806e-05 9.135585e-05 0.005745968 4.4102824e-05 5.985383e-05 1.2600806e-05 4.7253023e-05 2.2051412e-05 0.00014490927 6.6154236e-05 1.2600806e-05 0.00012285786 1.890121e-05 3.1502015e-05 3.780242e-05 5.985383e-05 6.300403e-06 1.890121e-05 0.005018271 1.5751008e-05 0.00025201612 1.5751008e-05 9.765625e-05 4.4102824e-05 0.000718246 0.00028981853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01967931 0.00020791331 0.00029296876 0.0002047631 0.00051348284 0.00074659777 0.00093560986 0.0005481351 0.0007875504 0.00014175907 8.1905244e-05 0.00011655746 0.0002047631 9.4506046e-05 6.300403e-05 0.001187626 0.033530746 0.0006363407 0.00057963707 0.00051033264 0.002391003 0.0018050655 0.00074974797 0.00045047884 0.0009576613 0.00021421371 0.0005386845 0.00068359374 0.00028351814 0.00026776714 0.00026461695 0.0012978831 0.02513546 0.00030241936 0.00140499 0.00050718244 0.0010521674 0.0012002268 0.0032415574 0.0016129032 0.000875756 0.00013860887 0.00016066029 0.00016381049 0.00026776714 0.00011340726 8.1905244e-05 0.0024508568 0.060323212 0.0015089465 0.0030525455 0.0016538559 0.0029958417 0.004454385 0.008732359 0.0047221524 0.0022744455 0.0003654234 0.00030871975 0.00022366432 0.00042527722 0.00037802418 0.00023941533 0.005115927 0.009677419 0.00017011088 0.00022681452 0.00029296876 0.0030430946 0.0018995716 0.006035786 0.002797379 0.0004000756 0.0001921623 0.00014805948 9.4506046e-05 0.00016381049 0.00021421371 0.00022996472 0.0002205141 0.00922064 0.0006237399 0.00065839215 0.0004000756 0.0017389113 0.0011592741 0.00218624 0.0012474798 0.00027406754 0.0001984627 0.000390625 0.00017326108 0.00034337197 0.00020791331 0.00021421371 0.00031817035 0.011022556 0.00047253023 0.001234879 0.0009639617 0.0025107106 0.0014585434 0.006999748 0.0036038307 0.0004000756 0.00022996472 0.00030241936 0.0016948085 0.00029296876 0.00011340726 0.00027091734 0.00068674394 0.0025359122 0.00018901209 0.00022366432 0.00017326108 0.00042212702 0.00025831652 0.00011340726 0.00033707157 0.0005985383 3.1502015e-05 4.7253023e-05 8.505544e-05 0.00048513105 0.0002016129 0.00025516632 0.00049458165 0.014317666 0.002217742 0.0019027218 0.0018901209 0.0050056702 0.0039157006 0.0013199345 0.0037266884 0.008552797 0.00057333667 0.0006268901 0.0010710686 0.0032762096 0.0016034526 0.0026934224 0.0053710938 0.11560925 0.021339465 0.014503528 0.018044354 0.04736328 0.047114417 0.023739919 0.029778855 0.063237146 0.004813508 0.015672253 0.011973917 0.036907762 0.019345388 0.034636468 0.05721081 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 523.0 11.720841 6130.0 0.022349102 0.0004893964 0.0009787928 0.0014681892 0.001141925 0.00065252854 0.0 0.00032626427 0.00016313214 0.00016313214 0.0 0.0009787928 0.0009787928 0.0026101142 0.010929853 0.00065252854 0.0045677 0.0019575856 0.0029363784 0.0019575856 0.0016313214 0.0016313214 0.0026101142 0.0004893964 0.0009787928 0.002120718 0.0009787928 0.0017944535 0.00065252854 0.0014681892 0.00065252854 0.0008156607 0.0019575856 0.02528548 0.003752039 0.018107668 0.014845025 0.01680261 0.009624796 0.010929853 0.008482872 0.009461664 0.00065252854 0.00228385 0.012071778 0.01223491 0.012071778 0.012561174 0.018107668 0.0034257749 0.011745513 0.028548123 0.02593801 0.007830342 0.007993475 0.013866232 0.0045677 0.003588907 0.0 0.0013050571 0.0008156607 0.0014681892 0.0013050571 0.010929853 0.00032626427 0.044535074 0.005709625 0.018760195 0.023817291 0.0817292 0.010114192 0.01223491 0.011092985 0.045187604 0.0045677 0.0055464925 0.03442088 0.017944535 0.044535074 0.05122349 0.01223491 0.00016313214 0.047145188 0.029363785 0.067373574 0.017292006 0.0068515497 0.0053833607 0.006035889 0.007014682 0.0017944535 0.00016313214 0.0008156607 0.0008156607 0.00065252854 0.0014681892 5.4887805 3.0 0.0 0.0 2.0 159744.0 339968.0 0.0 0.0 159.0 0.0 1.0 0.0 0.0 0.0 1194440300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 102400.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -102400.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.554676 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6714256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.692294 0.0 3.4624352 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6762.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -195192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -99830.0 0.0 26560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 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 -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 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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 109688.0 26560.0 311296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 106496.0 0.0 0.0 0.0 0.0


Input: 0.13985106 0.008473677 0.0041098916 0.00336164 0.006127608 0.0038767497 0.001992083 0.0019249478 0.0077400724 0.0014830765 0.0016710549 0.0014781939 0.0044907313 0.0013475855 0.0012084327 0.0038193795 0.0060519283 0.0014781939 0.0011657103 0.00088008074 0.0024266304 0.0019469192 0.0007543549 0.000811725 0.0022667267 0.00074214855 0.0008166075 0.00069942616 0.001589272 0.0005944512 0.0005846861 0.0005566114 0.003821821 0.00057736225 0.00064205617 0.0005346399 0.0040915823 0.0012975393 0.00045773963 0.0005529495 0.0011657103 0.0006432768 0.00057492097 0.0009289063 0.00108881 0.0023070078 0.0006664689 0.0005102271 0.0064913584 0.003185868 0.004089141 0.010515805 0.0042527067 0.0024241891 0.003594782 0.0021434422 0.0046970192 0.0024717941 0.00070430874 0.001461105 0.0016429801 0.00096186355 0.00045896028 0.0005212129 0.0116070565 0.0038730877 0.00483251 0.008703156 0.003814497 0.03210281 0.0032224872 0.0026707582 0.0033360065 0.0034983514 0.0021580898 0.0023216554 0.002671979 0.004325945 0.0011437387 0.0015099305 0.008932637 0.002114147 0.0020274816 0.009619856 0.0031602345 0.013644303 0.0031773234 0.002066542 0.0018993143 0.0064230026 0.0027037156 0.0032139425 0.0015441084 0.004572514 0.0023448477 0.0035545009 0.005684516 0.004538336 0.0030076546 0.00341901 0.009387935 0.00628385 0.005210908 0.0017272043 0.008029364 0.0043857563 0.004893542 0.0016124642 0.0037681127 0.0019041969 0.005701605 0.0042368383 0.0033604193 0.0019151827 0.006148359 0.004003696 0.010327827 0.005701605 0.0030247436 0.0013121869 0.003090658 0.0012462725 0.00052365416 0.00058224483 0.0016307738 0.0024840005 0.0010485289 0.0008629918 0.0051730685 0.0011425181 0.0010741623 0.008941181 0.0030796723 0.0031834266 0.0010204542 0.00061031955 0.0026268153 0.014984565 0.0022032536 0.051032476 0.001180358 0.010852702 0.0008459029 0.0006713515 0.0026207122 0.00043820942 0.0007177358 0.0006371736 0.0011083402 0.00092402374 0.0014916209 0.0005602733 0.0011583865 0.0005810242 0.00049313816 0.00070308807 0.000943554 0.00046994604 0.00045896028 0.00041379663 0.0008849633 0.0032847398 0.00046018092 0.0025169577 0.0014049555 0.0008068424 0.0005566114 0.0004467539 0.0010326606 0.00045163644 0.0005029033 0.00048093178 0.00083613774 0.0004443126 0.00073238346 0.00064938 0.0013073045 0.000676234 0.001707674 0.00052975735 0.00086665375 0.00066158635 0.00070308807 0.0015587561 0.0031089676 0.0025010894 0.004589603 0.0008129456 0.000987497 0.00047360794 0.00084224093 0.00070552935 0.011838978 0.0011339737 0.0022569615 0.010213087 0.004300311 0.001044867 0.0035105578 0.0033238002 0.0018456063 0.0017418519 0.00097040803 0.001285333 0.0016600691 0.0008813014 0.0009789525 0.00093012693 0.0028367653 0.0011351943 0.002935637 0.0013353791 0.0017894568 0.00075801683 0.0015831689 0.00086421246 0.0033238002 0.0006457181 0.0010717211 0.0017638234 0.0014769733 0.0007091913 0.0005553908 0.0008312552 0.0024071003 0.00064938 0.00086665375 0.0009777319 0.002400997 0.0023997764 0.0005431844 0.0006847785 0.027247105 0.0059469533 0.0010790449 0.005822448 0.0064474153 0.0010289988 0.0006713515 0.00074458984 0.0071480623 0.00096430484 0.0017931188 0.00090693485 0.009018081 0.0021422214 0.0040427567 0.00255968 0.009936002 0.0030137578 0.003033288 0.0035654868 0.014694053 0.0039438847 0.0042453827 0.06803232 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017514569 0.0 0.0 0.0005102814 0.0002413906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014033656 0.0 0.0 0.0074867755 0.0047624228 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0050777583 0.0 0.0 0.0055263173 0.0031631335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00054328167 3.6666927e-06 1.7722348e-05 6.6000466e-05 0.0001466677 7.455608e-05 6.1111546e-06 7.3333854e-06 1.5277887e-05 0.0 0.0 1.8333463e-06 7.944501e-06 3.0555773e-06 4.8889237e-06 0.00035322472 0.0060078762 0.00020289033 0.00021022372 0.00054267055 0.0018828467 0.00048094787 0.0024114617 0.0010492853 0.00019189026 9.90007e-05 9.10562e-05 7.394497e-05 0.00066183804 0.00037461377 0.0003947806 0.0028465758 0.013128594 0.0006318934 0.00093195104 0.0020509034 0.004068807 0.0035560809 0.00686466 0.0031625226 0.00044733653 0.00023222387 0.00030616883 0.00032572454 0.0020521258 0.0010883966 0.0011055078 0.008858118 0.02046809 0.0012839535 0.0012155087 0.002047848 0.0072099403 0.0025239068 0.0065939357 0.0032089672 0.0023570724 0.0009606735 0.00096250686 0.0013163427 0.0039991396 0.0026112963 0.00263513 0.009441733 0.01993092 0.0015393998 0.001233231 0.0022348491 0.009291399 0.003985695 0.0058007077 0.0033586905 0.0057279854 0.0013933432 0.0017532903 0.0022721272 0.0038072492 0.0017471791 0.0039869174 0.0095340125 0.07298491 0.00968068 0.0071793846 0.009941015 0.041477628 0.030178104 0.021008316 0.013758654 0.05075925 0.005217704 0.005971209 0.009015786 0.016554506 0.0069752717 0.027060192 0.060222372 0.05942181 0.009989293 0.008991953 0.011509748 0.027729975 0.03018177 0.017425958 0.014407658 0.049129404 0.0058037634 0.006392879 0.009023731 0.020806648 0.010786188 0.024735508 0.04785645 0.00023039052 4.705589e-05 8.494505e-05 5.13337e-05 8.9222856e-05 9.777847e-05 4.2778083e-05 6.4778236e-05 0.00013261205 2.8722427e-05 3.3000233e-05 2.8722427e-05 8.31117e-05 5.9278198e-05 7.211162e-05 0.000105722975 5347.0 18.547035 99171.0 0.0047191214 0.00011091952 0.00048401247 8.0668746e-05 0.0029040747 0.0004940961 0.00011091952 0.0001512539 0.00034284216 0.00035292577 0.00063526636 0.0005041796 0.0004335945 0.012352401 0.0009781085 0.00040334373 0.028980246 0.018836152 0.029655848 0.015004386 0.026197175 0.016486675 0.026328262 0.014056529 0.02859707 0.016436256 0.0007159351 0.0004436781 0.0008268546 0.00046384527 0.00010083593 0.00012100312 0.0011797803 0.0073912735 0.006413165 0.012574241 0.0061812424 0.01397586 0.004093939 0.0026620685 0.0042653596 0.015246392 0.002127638 0.0034586724 0.0059089856 0.0057778987 0.003841849 0.007986206 0.011182705 0.0022688084 0.0051829666 0.01773704 0.011323875 0.005424973 0.0051123817 0.003025078 0.0024099788 0.0046384525 0.0013209507 0.0025914833 0.0010083592 0.0024200624 0.0025208984 0.019229412 0.00022183904 0.02798197 0.021659559 0.02475522 0.024422463 0.047473557 0.020641115 0.010295348 0.018342055 0.031531394 0.016577426 0.007794617 0.023101512 0.01164655 0.04350062 0.031410392 0.01795888 0.0041947747 0.0440653 0.026146756 0.037712637 0.011223039 0.019451251 0.006705589 0.014217866 0.0057879826 0.0009075234 0.0002520898 0.00047392887 0.00022183904 0.00026217342 0.00027225702 5.747303 0.0 2.0 14.0 4.0 819243.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6057796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.22087584 0.006590136 0.0032286353 0.0035607994 0.0061118198 0.059111927 0.00216571 0.0020195579 0.0049293153 0.0016608206 0.0014083758 0.0012223639 0.00518176 0.001833546 0.0014216624 0.012250213 0.005832802 0.0012755102 0.0011825042 0.0013552296 0.0024314413 0.006324405 0.0016209609 0.0011825042 0.0020992772 0.0010496386 0.0010230655 0.0011559312 0.002750319 0.0013020834 0.00095663266 0.0010230655 0.003109056 0.0009034864 0.0010496386 0.0010762117 0.0083173895 0.012343219 0.0011160715 0.0011692176 0.001647534 0.0069754464 0.001833546 0.008064944 0.0035873724 0.0011692176 0.002776892 0.0011825042 0.0041586948 0.0025775936 0.0026971726 0.011506165 0.0044244262 0.0027636054 0.0027636054 0.0023915817 0.002657313 0.0021789966 0.0022985756 0.0023384353 0.004025829 0.0026971726 0.00216571 0.0019796982 0.024022108 0.004942602 0.001341943 0.0019132653 0.0057796557 0.009194302 0.0026174532 0.0022454294 0.0017139668 0.0017803997 0.0009964923 0.0013153699 0.0023118623 0.003175489 0.0014216624 0.0014083758 0.005513924 0.0022055698 0.0018468325 0.0032286353 0.0018999787 0.0025377339 0.0041586948 0.0043181335 0.0012755102 0.0009832057 0.0009699192 0.0017936862 0.0020328443 0.0028034651 0.0023650085 0.0022188562 0.0032419218 0.0057265093 0.0023251488 0.003786671 0.004942602 0.008038372 0.0052216197 0.0028167516 0.008025085 0.0051020407 0.009406888 0.00259088 0.0047565904 0.002776892 0.0043181335 0.0048894556 0.003175489 0.003175489 0.005527211 0.005434205 0.00943346 0.008091518 0.005487351 0.003627232 0.00259088 0.0018202594 0.00094334607 0.0010230655 0.0024048681 0.0029761905 0.0014083758 0.0018999787 0.002869898 0.001860119 0.0009300595 0.0055803573 0.0026307397 0.006164966 0.0009964923 0.0010230655 0.0020195579 0.008064944 0.0018069728 0.014987245 0.0010230655 0.007985225 0.0010762117 0.001036352 0.004251701 0.004597151 0.0016873938 0.0008636267 0.0010496386 0.0020992772 0.0015678146 0.00089019985 0.0011160715 0.0008636267 0.0016076743 0.00095663266 0.0011559312 0.0014748087 0.0015678146 0.0008636267 0.0011027849 0.0011027849 0.0011426446 0.0008370536 0.0011559312 0.00095663266 0.0011027849 0.0009034864 0.0011027849 0.0008370536 0.0011160715 0.00087691325 0.001036352 0.0036139456 0.0011692176 0.0009832057 0.0017936862 0.000916773 0.0015146683 0.00081048044 0.0013153699 0.00089019985 0.008224384 0.0012090774 0.001434949 0.001036352 0.001953125 0.0009300595 0.0011559312 0.00087691325 0.0019265519 0.0010762117 0.0057265093 0.0040125423 0.0013818027 0.003175489 0.002072704 0.0014748087 0.0016076743 0.007480336 0.0016608206 0.0018069728 0.0011825042 0.0015146683 0.010217369 0.0009034864 0.0015811012 0.0013818027 0.0017538265 0.0015013817 0.001036352 0.0018202594 0.0014482356 0.0013020834 0.001833546 0.0020594175 0.0019398384 0.001036352 0.0012489371 0.0012622237 0.001554528 0.0008636267 0.0011027849 0.0010496386 0.0017006802 0.00094334607 0.0012356505 0.0014216624 0.001953125 0.0019929847 0.0009832057 0.0010629252 0.0049957484 0.0023915817 0.0019796982 0.0030160502 0.0036538052 0.001036352 0.0011559312 0.0015279549 0.0028167516 0.001554528 0.0009964923 0.0017006802 0.00259088 0.0009300595 0.0014482356 0.0015013817 0.003295068 0.0013818027 0.0013685161 0.0010496386 0.003295068 0.0012489371 0.0017803997 0.019823555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009806315 0.0 0.0016886393 9.494358e-05 0.00016276042 0.00012207031 0.0012207031 0.00077989366 6.781684e-06 0.0 0.0 0.0 6.781684e-06 0.0 0.0 0.0 0.042534724 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.00086805556 0.06424967 0.0 0.023247613 0.0013156467 0.00084771053 0.0007595486 0.021416558 0.013149685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.3563368e-05 0.015842013 0.00048149956 0.00082736544 0.0005493164 0.0015394422 0.0013970269 0.0042453343 0.0024142796 4.747179e-05 0.00012207031 6.1035156e-05 6.781684e-05 4.0690105e-05 4.747179e-05 5.4253473e-05 4.0690105e-05 0.03150092 0.00094943575 0.0020073785 0.0030992297 0.0035536024 0.0026516384 0.011305068 0.0071343314 0.000922309 0.0008951823 0.0008884006 0.00090196397 0.00094943575 0.00088161894 0.0009290907 0.0008748372 0.021267362 0.0013902453 0.00096978084 0.0009629991 0.0016140408 0.0013156467 0.004265679 0.0026719836 0.00086805556 0.0009765625 0.0009087457 0.0009087457 0.00090196397 0.00094943575 0.00086805556 0.00082736544 0.019565158 0.0014580621 0.0020277235 0.00853814 0.0030449762 0.0013902453 0.0038452148 0.0030517578 0.0029703777 0.0015597873 0.0010240343 0.001308865 0.0015801324 0.0011461047 0.0016072592 0.001437717 0.004333496 0.0007188585 0.0012953016 0.0072699655 0.0025906032 0.0003933377 0.0012817383 0.001030816 0.0016276041 0.00037299262 0.00082736544 0.0023057726 0.0015936957 0.00035942925 0.0011867947 0.00059000653 0.056355793 0.008761936 0.008273655 0.009067112 0.02335612 0.010023329 0.0111762155 0.009806315 0.025512695 0.005710178 0.0028889973 0.005791558 0.016086154 0.004374186 0.008687337 0.01635064 0.04960802 0.009453667 0.0075208875 0.009969075 0.021247016 0.013515896 0.010735406 0.00974528 0.02016873 0.008300781 0.003587511 0.0069037545 0.017706977 0.006279839 0.009121365 0.018358018 0.014845107 0.008694119 0.008158366 0.008144802 0.008321126 0.008178711 0.008666992 0.009229872 0.008009169 0.008056641 0.00813124 0.008124458 0.008076985 0.0081380205 0.008022732 0.008090549 378.0 11.592592 4382.0 0.01414879 0.0020538566 0.002966682 0.003879507 0.006617983 0.0036513007 0.0034230945 0.006846189 0.0020538566 0.002966682 0.009812871 0.0027384756 0.0041077132 0.005248745 0.008443633 0.002966682 0.012094934 0.013007759 0.015289822 0.014833409 0.012551347 0.012094934 0.014605203 0.0127795525 0.011182109 0.012094934 0.014376997 0.009356459 0.008900045 0.011866728 0.013920584 0.009812871 0.003879507 0.009584664 0.003879507 0.011638521 0.009584664 0.010041077 0.01049749 0.007987221 0.008900045 0.006617983 0.0020538566 0.005476951 0.005933364 0.0057051573 0.005933364 0.0034230945 0.011410315 0.0050205383 0.006617983 0.015974442 0.0082154265 0.0034230945 0.009128252 0.021451391 0.0031948881 0.002282063 0.004564126 0.002282063 0.005476951 0.0011410315 0.0015974441 0.0025102692 0.0015974441 0.029438613 0.008900045 0.015289822 0.018941123 0.0723414 0.006617983 0.008443633 0.010953902 0.031264264 0.0063897762 0.0027384756 0.0289822 0.011866728 0.028753994 0.025102694 0.015746234 0.0034230945 0.037425835 0.027841168 0.04746691 0.010953902 0.0057051573 0.007074395 0.0082154265 0.010725696 0.0020538566 0.0018256503 0.002282063 0.0031948881 0.007530808 0.004792332 6.0767255 0.0 0.0 0.0 1.0 75264.0 90112.0 0.0 0.0 118.0 1.0 1.0 0.0 0.0 0.0 1517684400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 12.0 0.0 5.0 1.0 5.0 1.0 32768.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 34304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 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 -6.4344106 0.0 0.0 -0.06116285 0.0 0.0 0.0 0.0 0.0 6.13221 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.450195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2968616 0.0 4.7100616 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 -4096.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -32768.0 0.0 4096.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 67952.0 480.0 81920.0 0.0 0.0 0.0 0.0 2736.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.17691433 0.018494485 0.0029201817 0.005191434 0.016142115 0.0012978585 0.002027904 0.0016223232 0.0113562625 0.0013789746 0.0009733939 0.0008111616 0.005759247 0.003082414 0.002027904 0.0027579493 0.008517196 0.00016223232 0.0006489293 0.0008111616 0.0047858534 0.007868268 0.0009733939 0.0006489293 0.0032446464 0.00016223232 0.0006489293 0.00073004543 0.0026768332 0.0008111616 0.0004055808 0.00073004543 0.0092472425 0.00048669695 8.111616e-05 8.111616e-05 0.044451654 8.111616e-05 0.0 8.111616e-05 0.0028390656 8.111616e-05 8.111616e-05 0.0028390656 0.0013789746 0.0005678131 0.0006489293 0.00024334848 0.0029201817 0.00016223232 0.00016223232 0.005191434 0.0017034393 0.0 0.0 0.0 0.00089227775 0.0005678131 8.111616e-05 0.0005678131 0.0012167423 0.0006489293 0.00016223232 0.00024334848 0.0038935756 0.0030012978 0.00024334848 0.00032446464 0.019062297 0.0011356262 0.002595717 0.0006489293 0.0028390656 0.0012978585 0.00048669695 0.0005678131 0.011518494 0.0006489293 0.0012167423 0.00032446464 0.020197924 0.008679429 0.0068948735 0.0018656716 0.008354965 0.0019467878 0.006813757 0.00421804 0.0014600909 0.00210902 0.00016223232 0.003082414 0.0030012978 0.00105451 0.004704737 0.0023523686 0.022063594 0.00048669695 0.00032446464 0.00032446464 0.006083712 0.0005678131 0.00024334848 0.00016223232 0.011518494 0.00032446464 0.011761843 0.0 0.0011356262 0.00048669695 0.00048669695 0.0004055808 0.003569111 0.01752109 0.0028390656 0.00016223232 0.008354965 0.0024334847 0.00016223232 0.0004055808 0.0019467878 0.00073004543 0.00024334848 8.111616e-05 0.003487995 0.0 0.0017034393 0.00089227775 0.0023523686 0.0012978585 0.0012167423 0.010301752 0.0070571057 0.0064081764 0.0022712525 0.00024334848 0.0017034393 0.014763141 0.0 0.047452953 0.0009733939 0.013059702 0.00210902 0.0006489293 0.0019467878 0.00016223232 0.0 0.0 0.001541207 0.00024334848 0.0005678131 8.111616e-05 0.0005678131 8.111616e-05 0.00024334848 0.0014600909 0.002514601 0.0026768332 0.00073004543 0.00073004543 0.0005678131 0.004055808 0.0005678131 0.0017845555 0.0011356262 0.0006489293 0.0009733939 0.0008111616 0.0009733939 0.00024334848 0.0 0.00016223232 0.0006489293 0.0 0.00024334848 8.111616e-05 0.00016223232 0.00032446464 0.0 0.00024334848 0.0004055808 0.00024334848 0.00016223232 0.0006489293 0.0038124595 0.00016223232 8.111616e-05 0.00024334848 0.00048669695 0.00016223232 0.001541207 8.111616e-05 0.005597015 0.00210902 0.008841661 0.00697599 0.0068948735 0.00032446464 0.0038124595 0.007138222 0.0022712525 0.0014600909 0.00016223232 0.00024334848 0.12573005 0.00032446464 0.005191434 0.0013789746 0.00073004543 8.111616e-05 0.0005678131 0.00105451 8.111616e-05 0.0009733939 0.0 0.0008111616 0.00210902 0.00032446464 0.00016223232 0.00024334848 0.0006489293 0.00016223232 8.111616e-05 0.0006489293 0.00048669695 0.00032446464 0.00024334848 8.111616e-05 0.0008111616 0.00048669695 0.00024334848 0.00016223232 0.018251136 0.0018656716 8.111616e-05 0.0013789746 0.002514601 0.0008111616 0.00024334848 0.00048669695 0.0014600909 0.003974692 0.0004055808 0.0004055808 0.0016223232 0.0014600909 0.0017034393 0.0013789746 0.0019467878 0.00089227775 0.0011356262 0.0012167423 0.0012167423 0.0004055808 0.0006489293 0.02555159 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.043368254 0.0023082385 0.0027521306 0.0011541193 0.0030628552 0.0035511365 0.0044389204 0.0025301846 0.0043945312 0.0027965198 0.0007990057 0.00053267047 0.015003551 0.00039950284 0.0015092329 0.0023082385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18798828 0.032004617 0.06356534 0.01336115 0.048916902 0.07701527 0.051624645 0.043190695 0.11248224 0.009721235 0.011807528 0.008433949 0.1681907 0.008433949 0.028098367 0.044256035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 6.1 488.0 0.038934425 0.0020491802 0.0 0.0 0.13934426 0.0 0.0 0.0 0.022540983 0.0 0.0 0.024590164 0.0102459015 0.0 0.012295082 0.0020491802 0.012295082 0.0 0.0 0.0020491802 0.012295082 0.0 0.0 0.0 0.0 0.0040983604 0.0 0.0 0.0020491802 0.0 0.0 0.0020491802 0.0102459015 0.0 0.0 0.0 0.05532787 0.0 0.0020491802 0.0020491802 0.006147541 0.0040983604 0.006147541 0.006147541 0.04918033 0.0 0.0 0.0020491802 0.05532787 0.05532787 0.038934425 0.0040983604 0.040983606 0.0102459015 0.012295082 0.028688524 0.0020491802 0.0040983604 0.0 0.0040983604 0.016393442 0.0040983604 0.0040983604 0.0040983604 0.034836065 0.012295082 0.0020491802 0.006147541 0.024590164 0.008196721 0.0 0.0020491802 0.06147541 0.0040983604 0.020491803 0.0 0.0020491802 0.006147541 0.0102459015 0.008196721 0.006147541 0.022540983 0.018442623 0.0040983604 0.012295082 0.0040983604 0.0 0.0 0.0040983604 0.0 0.0 0.0 0.0102459015 0.0 0.0 0.0 5.0485244 0.0 0.0 0.0 1.0 12328.0 184320.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1465376000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 91648.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 50176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -91648.0 0.0 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 -5.8089547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11236.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 50145.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -91332.0 0.0 1128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 161.0 148288.0 220.0 133524.0 1128.0 167936.0 0.0 0.0 7520.0 158720.0 11116.0 172032.0 28.0 100512.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 117960.0 0.0 0.0 2144.0 98304.0 0.0 0.0 0.0 0.0