Input: 0.2828096 0.021129703 0.014298624 0.0069549712 0.012231324 0.0038358015 0.010108151 0.0033936761 0.0050965874 0.002970985 0.018989526 0.0027742148 0.0022956505 0.0009134017 0.0056966147 0.0020600124 0.0009352651 0.004355663 0.003568583 0.002766927 0.0016980527 0.0020673003 0.003728914 0.0023685284 0.0039669815 0.001047011 0.00076278765 0.0015814482 0.0029734143 0.00063403684 0.0006437539 0.0005757346 0.0014599853 0.0019191153 0.00037896456 0.0006413246 0.0010494404 0.0005150031 0.0007554998 0.0004664179 0.011701745 0.003784787 0.00551442 0.0039985618 0.0030778723 0.0016421797 0.0044649797 0.011096859 0.0027620685 0.00043969604 0.00039839864 0.00062431983 0.002149895 0.0006291783 0.00039111087 0.00050042756 0.00042269123 0.00060245645 0.00083566544 0.0038746695 0.00040325715 0.00082351913 0.0012097715 0.0007020561 0.00089639693 0.0050965874 0.0021328903 0.0053905277 0.0013166589 0.0018583839 0.0016105993 0.003736202 0.0026770444 0.00761573 0.0005271494 0.00075064134 0.007142024 0.0021936218 0.0028228 0.0019093984 0.0022470655 0.0014867071 0.001887535 0.0059881257 0.0021328903 0.0007554998 0.004579155 0.00089396763 0.002747493 0.00081380206 0.0019069691 0.0004737057 0.00027693564 0.00041783272 0.00036438898 0.0129018 0.00074092427 0.023724152 0.0052860696 0.0117624765 0.019290753 0.038132094 0.0025847326 0.0053540887 0.0031240282 0.029333314 0.0022130557 0.0015304338 0.013127721 0.0062116175 0.025529092 0.02957624 0.014038693 0.0009692747 0.02359783 0.018311761 0.032012787 0.007785778 0.008283776 0.0066488846 0.0018000816 0.003988845 0.0005805931 0.0014939948 0.00063403684 0.0012389226 0.006121735 0.00024049674 0.0035540073 0.003272213 0.0005222909 0.00045184235 0.00089882617 0.00047127643 0.0006486124 0.0006194613 0.00037410602 0.00059273944 0.00023320895 0.0005392957 0.0003158038 0.00043240827 0.0016859064 0.00030608676 0.0006194613 0.0027329174 0.00020891636 0.0003206623 0.00029151118 0.00024292599 0.00090611394 0.0002672186 0.00026964786 0.000298799 0.00019919932 0.002094022 0.00039111087 0.00039111087 0.00030122822 0.00032795008 0.0005465835 0.00039111087 0.00025021378 0.00023563822 0.0002793649 0.00021377488 0.0005587298 0.0003400964 0.00033766712 0.00034252566 0.00037410602 0.00018219449 0.0002550723 0.00027450637 0.0004056864 0.00018705301 0.00027693564 0.00031823304 0.00017490672 0.00025993082 0.00023320895 0.00019677005 0.00047613494 0.0002186334 0.00022835043 0.00024049674 0.00054172496 0.00021377488 0.00024049674 0.00033766712 0.00016276042 0.00017976524 0.0005587298 0.00044455458 0.0002842234 0.0002672186 0.00069962686 0.00034981343 0.0012170592 0.00022349191 0.00026478933 0.00027450637 0.00021134561 0.0002307797 0.00023806747 0.00021377488 0.00022592118 0.0012947955 0.0004129742 0.00037167678 0.0002064871 0.00061460276 0.0002623601 0.0003522427 0.0008380947 0.00034981343 0.00032309158 0.0015741604 0.0002550723 0.0003522427 0.0015450093 0.0007336365 0.00046398866 0.00046884717 0.002186334 0.00034495493 0.00028179414 0.000495569 0.00022106266 0.00036438898 0.00058302237 0.00022106266 0.00022592118 0.00023806747 0.00022106266 0.00034252566 0.00026964786 0.0002720771 0.0002842234 0.00022835043 0.00028908195 0.0002793649 0.00025264305 0.00028665268 0.0019749883 0.0003206623 0.00024535524 0.0006534709 0.00038139382 0.00031094527 0.00041054492 0.00043240827 0.000298799 0.00034738416 0.00485852 0.00021134561 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019872196 8.523612e-06 3.7747428e-05 3.409445e-05 4.992402e-05 2.9223815e-05 0.00023257287 0.00010228335 2.435318e-06 0.0 1.217659e-06 3.6529768e-06 0.0 2.435318e-06 1.217659e-06 1.217659e-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 0.002071238 1.33942485e-05 3.652977e-05 2.313552e-05 0.0005881293 0.00031293835 0.0028359278 0.0011275522 0.00011689526 1.8264886e-05 3.6529768e-06 1.9482544e-05 1.7047225e-05 2.9223815e-05 2.5570838e-05 0.00024231414 0.03088592 0.00052481104 0.002259975 0.0005625585 0.015329109 0.017234745 0.08095606 0.038419574 0.00060395885 0.00020091372 4.870636e-05 0.00019482544 0.00017168991 0.0007780841 0.0002167433 0.0011385111 0.20944586 0.014547372 0.02437875 0.0063914917 0.01051205 0.0071366993 0.05235081 0.036884107 0.0046173627 0.0011299875 0.0011762585 0.00065144757 0.0005296817 0.0027312092 0.0018764125 0.0046928576 0.07633017 0.0107982 0.016232612 0.0047123404 0.0098861735 0.007242636 0.04273496 0.028595503 0.0042082295 0.0015987862 0.0010630162 0.0012310533 0.0013162893 0.0020359259 0.0016000039 0.0023841762 0.06505952 0.0069406563 0.008881604 0.004530909 0.010636251 0.0071781 0.036909677 0.021469763 0.004674593 0.0062648556 0.002363476 0.0018849361 0.004580833 0.0029309052 0.0027433857 0.0024767183 0.008646596 0.0008633202 0.00068675965 0.00053820526 0.0007683428 0.0008243551 0.0019860019 0.0014100492 0.0007184188 0.0006684948 0.0005199404 0.00031659132 0.00039695684 0.00063683564 0.00032876793 0.00064048864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3863.0 32.269997 124659.0 0.00079416647 8.824072e-05 8.824072e-05 0.00010428449 0.0009786699 0.00010428449 9.626261e-05 0.00016845956 0.0044361018 0.0044361018 0.00022461274 9.626261e-05 0.00068988197 0.00012835013 0.0068667326 0.017006394 0.00020054709 0.00028878782 0.00032087535 0.00017648144 0.0038825916 0.00013637202 0.00025670027 0.00030483157 0.00013637202 7.2196955e-05 0.0006497726 0.0056875157 0.00012835013 8.021884e-05 0.00016043767 1.6043767e-05 2.4065652e-05 0.011375031 0.003457432 0.011679863 0.002695353 0.0036419353 0.0031846878 0.01047658 0.0072598048 0.018249786 0.00050537864 0.0005214224 0.015305754 0.004010942 0.005230268 0.0039788545 0.0043959925 0.00011230637 0.00400292 0.016091898 0.004051051 0.00110702 0.009746589 0.0014118515 0.00090647285 0.00030483157 0.0024627184 0.00026472216 3.2087533e-05 5.6153185e-05 1.6043767e-05 0.040486448 0.00024065652 0.05770141 0.012040847 0.028044505 0.046911977 0.09917455 0.0050216992 0.012401832 0.0070672794 0.067648545 0.0042997296 0.0030884251 0.033788174 0.0128671015 0.0649211 0.054957926 0.025020255 0.0015402017 0.052463118 0.033162467 0.07962522 0.018474398 0.017295182 0.014174668 0.0028076593 0.008775941 0.00058559753 1.6043767e-05 0.0 1.6043767e-05 1.6043767e-05 0.0 4.9974065 0.0 0.0 0.0 1.0 411648.0 434176.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1528751100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 409088.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -409088.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.530919 0.0 3.201927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -409012.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 417116.0 1080.0 417792.0 0.0 0.0 0.0 0.0 12.0 425984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.024870992 0.0040024393 0.0041531036 0.003943024 0.0038945444 0.0038791136 0.003824194 0.0038952734 0.0038459431 0.0038412046 0.0038002578 0.0037506844 0.0038311197 0.0038226144 0.0037294214 0.0038156887 0.0043808003 0.00377134 0.0037560307 0.0037970988 0.003765022 0.0038045105 0.0037533576 0.0037460674 0.0037555445 0.0038252876 0.003802931 0.0037622273 0.0037443663 0.003729543 0.0036771751 0.0037087658 0.0038614955 0.0037110744 0.0037407211 0.0037614983 0.003774499 0.0038011083 0.0037470395 0.0037152055 0.0037956408 0.0037572456 0.003735132 0.0037673304 0.0037619844 0.0037619844 0.0037776583 0.0037132616 0.0037613767 0.0037045132 0.0037429084 0.0037388988 0.0037579748 0.0037031767 0.0037286924 0.003751778 0.0037951546 0.003787743 0.0037024477 0.0037494695 0.0037261408 0.0037396278 0.003734403 0.0037574887 0.0039613713 0.0038706083 0.0036978305 0.003786528 0.0037555445 0.0038424195 0.0037137475 0.0037625919 0.0037742562 0.0037834905 0.0037352536 0.0037572456 0.0037441233 0.0037540866 0.0037472823 0.0037105884 0.0038538408 0.0037429084 0.0037785089 0.0037837334 0.0037369546 0.003818848 0.0037692746 0.003728814 0.003731244 0.0037917527 0.0037403568 0.0037895655 0.0037386557 0.0037480115 0.0037499554 0.003730272 0.003747161 0.003794304 0.0037426653 0.0037687884 0.0038544482 0.0038271102 0.0037845839 0.003738291 0.0037521427 0.0037528716 0.0037231033 0.003748376 0.0038207918 0.0037764432 0.003788715 0.0037442448 0.0037316084 0.003712411 0.0037746206 0.0037647788 0.0038865253 0.0038465506 0.0036848297 0.003714598 0.0037386557 0.0037436374 0.0037030552 0.0037616198 0.003782397 0.003754694 0.0037511706 0.0037799668 0.004211182 0.0037618629 0.0037401137 0.0038324562 0.0037431512 0.0037408427 0.003770611 0.003710467 0.0037472823 0.0038879833 0.0037211592 0.0041075395 0.0037579748 0.0038122868 0.0037347677 0.0037337956 0.0038498312 0.0037223743 0.003752264 0.003728814 0.003710953 0.0036721935 0.0037907807 0.0037204302 0.003754937 0.0037484975 0.0037216453 0.0037376836 0.0037487405 0.003749348 0.0037132616 0.0037806958 0.003717028 0.003735861 0.003712897 0.0037199443 0.0037371977 0.003732945 0.003751049 0.003714841 0.0037294214 0.003714598 0.0037600403 0.0037370762 0.0037432727 0.0036743805 0.003712168 0.003736833 0.0037947902 0.0037543296 0.0037429084 0.0037459459 0.0037646573 0.0036825212 0.0037883506 0.0037528716 0.0037579748 0.0037056068 0.0037815464 0.0037460674 0.0037262624 0.0037012326 0.0037398706 0.0037443663 0.0038861607 0.0037623488 0.0036969802 0.003829054 0.0037378052 0.0037204302 0.003751049 0.0037261408 0.0037239539 0.003772069 0.003744731 0.00367839 0.0038126511 0.003714355 0.003692849 0.003731001 0.0037566382 0.003697952 0.0037267483 0.0038431485 0.0037346461 0.003712168 0.003789444 0.003699653 0.003754694 0.0037243182 0.003697466 0.0037666014 0.003742301 0.0037125326 0.0037233464 0.00374303 0.0037613767 0.0037444879 0.0037516565 0.0037396278 0.0037342815 0.0037577318 0.0036997746 0.0037215238 0.003933547 0.0037607693 0.0037608908 0.0037893225 0.0037919956 0.0037436374 0.0037621057 0.0037420578 0.0039336686 0.0037361041 0.0037656294 0.0037663584 0.0036873813 0.0037241967 0.0037359826 0.0037912666 0.0038138663 0.0037512921 0.0037854344 0.0037800884 0.0038675708 0.0038525043 0.0038876187 0.01777763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00034846851 1.160549e-05 3.0380863e-07 7.2914077e-07 6.076173e-08 1.8228519e-07 1.2152346e-07 3.0380863e-07 7.2914077e-07 3.6457038e-07 1.2152346e-07 6.076173e-08 7.8990246e-07 4.860938e-07 4.860938e-07 8.506642e-06 0.0006704449 2.0476702e-05 1.7620902e-06 1.7620902e-06 1.8836135e-06 6.68379e-07 3.2811333e-06 1.0937111e-06 4.192559e-06 1.0329494e-06 9.114259e-07 4.860938e-07 1.5190432e-06 1.0937111e-06 2.1874223e-06 3.3844284e-05 0.0010213439 9.916314e-05 3.2203716e-06 6.440743e-06 3.4026568e-06 1.7620902e-06 4.1317976e-06 4.1317976e-06 5.833126e-06 9.114259e-07 1.7620902e-06 6.68379e-07 4.8001766e-06 1.336758e-06 6.3192197e-06 0.00020361255 0.0018054133 0.0005491645 5.164747e-06 8.202834e-06 1.0511779e-05 4.678653e-06 6.1369346e-06 4.496368e-06 0.00032051813 3.827989e-06 5.954649e-06 9.782639e-06 4.3748446e-06 5.4685556e-06 9.661115e-06 0.0006065236 0.006086016 6.0700968e-05 3.9495124e-05 5.1586707e-05 5.1100615e-05 3.9616647e-05 3.548485e-05 5.176899e-05 8.537023e-05 4.6178913e-05 2.6249067e-05 3.2750573e-05 4.180407e-05 7.692435e-05 8.500566e-05 0.004887309 0.005903913 0.0001263844 6.0032587e-05 8.530947e-05 0.00013871903 4.326235e-05 7.6802826e-05 7.8868725e-05 0.00010973568 8.65247e-05 4.927776e-05 7.534454e-05 5.5293174e-05 0.000107852065 0.00012437926 0.004575662 0.0030537022 8.397271e-05 9.642886e-05 6.422515e-05 7.783577e-05 4.3748445e-05 0.0001403596 0.000101168276 4.9034716e-05 4.3201588e-05 3.7307702e-05 4.8366335e-05 5.243737e-05 6.234153e-05 0.00010347722 0.0024132736 0.0014981412 5.9181923e-05 6.252382e-05 3.93736e-05 6.562267e-05 7.2549505e-05 0.00014637501 9.1081834e-05 5.170823e-05 4.5267487e-05 2.6431351e-05 3.7064656e-05 3.9981216e-05 3.056315e-05 5.6751454e-05 0.0010372634 0.00078947714 4.879167e-05 8.622089e-05 3.6092468e-05 4.5935867e-05 2.2421078e-05 7.959786e-05 3.979893e-05 2.3028695e-05 5.201204e-05 1.8410803e-05 1.8167757e-05 2.564145e-05 2.041594e-05 3.299362e-05 0.00027871405 0.00051690004 3.2264477e-05 6.258458e-05 4.9703092e-05 0.00010001381 3.8948267e-05 0.00012984782 7.7957295e-05 2.5094594e-05 3.9434362e-05 1.1362443e-05 2.6978207e-05 1.6466429e-05 1.579805e-05 1.8471566e-05 0.00020701521 0.00025216118 1.7681663e-05 1.2213108e-05 2.3514789e-05 4.569282e-05 2.0902035e-05 2.5762973e-05 1.9808323e-05 1.7499378e-05 1.8896897e-05 1.336758e-05 1.2516916e-05 9.964923e-06 1.0268732e-05 1.3914436e-05 0.00010803435 3.8522936e-05 1.3975198e-06 4.3140826e-06 4.6178916e-06 2.1631175e-05 1.0147209e-05 4.9824616e-06 1.7620902e-06 5.772364e-06 4.010274e-06 3.0380863e-07 3.341895e-06 5.28627e-06 2.1874223e-06 3.4026568e-06 1.2759963e-05 0.00060549064 6.143011e-05 7.9233294e-05 8.044853e-05 0.00018580936 0.0001443091 0.00012030822 0.00012480459 0.00026565028 3.4269615e-05 2.6795922e-05 5.6751454e-05 0.00012680973 6.574419e-05 0.000117573945 0.0002689314 0.0008976938 0.00014601044 0.00016527191 0.00018896897 0.00034415442 0.00034913688 0.00019832628 0.00020780512 0.000590604 8.379042e-05 7.570911e-05 0.00011775623 0.00030241112 0.0001574944 0.00029147402 0.0006121136 0.059368584 0.05946489 0.05950536 0.059243415 0.05930764 0.05944259 0.059394166 0.05932848 0.059461243 0.059445813 0.059339054 0.059491444 0.059295304 0.059271123 0.059332553 0.059407897 36634.0 5.7087407 209134.0 0.011676724 0.00995534 0.010007937 0.010084444 0.010567388 0.010180076 0.010175294 0.010122697 0.010232674 0.01028049 0.009998375 0.010648675 0.010385686 0.01042872 0.0104861 0.010146605 0.009888397 0.009964903 0.010600858 0.010094007 0.009850144 0.010022283 0.010184858 0.010500445 0.010390467 0.010376123 0.009945776 0.010022283 0.010270927 0.01007488 0.01013226 0.010825595 0.010409594 0.010380904 0.010036627 0.010194421 0.010911664 0.010581733 0.009850144 0.010854285 0.010553042 0.0102996165 0.0099362135 0.010041409 0.010548261 0.010533916 0.010729963 0.010003156 0.010572169 0.010079661 0.010199202 0.0106152035 0.01033787 0.010519572 0.010194421 0.01022311 0.010777779 0.010203984 0.010328306 0.01063433 0.009984029 0.01078256 0.010184858 0.010227893 0.010156168 0.010926009 0.010285271 0.010768215 0.010658238 0.012451347 0.010227893 0.010218329 0.01022311 0.010777779 0.010199202 0.01042872 0.011418517 0.010720399 0.011260723 0.011098147 0.010763434 0.010151386 0.011528494 0.010983389 0.011561965 0.010658238 0.010290054 0.009969684 0.010290054 0.0099362135 0.009940995 0.010567388 0.01054348 0.010423939 0.010213547 0.010108352 6.583713 2.0 1.0 0.0 106.0 8230231.0 462848.0 0.0 0.0 122.0 0.0 1.0 0.0 1.0 0.0 1459953500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 66560.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 346112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.870893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5126157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4031167 -5.006032 3.167288 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62020.0 -3588.0 345616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 102400.0 345616.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0


Input: 0.16660956 0.0074214046 0.006006638 0.0047583147 0.009482362 0.00419045 0.0038135054 0.002589659 0.009330605 0.0017378619 0.0020854343 0.0015469418 0.00419045 0.0014881972 0.0014930926 0.0043226257 0.0074116136 0.0013658126 0.0011895787 0.0011406249 0.0032603268 0.0018161881 0.0012336372 0.0011699972 0.0023057265 0.00096928637 0.0011112526 0.0010818802 0.0019238866 0.0010867756 0.00093012326 0.0009594956 0.006486386 0.0008517971 0.0010867756 0.00086648326 0.0061388137 0.0023008313 0.0008175294 0.00096928637 0.0017623388 0.0011112526 0.0011063572 0.0013609172 0.0021441788 0.0014245572 0.0014539296 0.0009594956 0.0050863056 0.0039163083 0.002893173 0.008312365 0.0030791976 0.0036715392 0.0021686559 0.0043519977 0.0031379422 0.003250536 0.0027218345 0.0041219145 0.0034120837 0.0026239266 0.002374262 0.0023840528 0.015307871 0.009120103 0.009149476 0.004454801 0.003211373 0.014720424 0.0022567727 0.0015028834 0.0018455604 0.0015175695 0.0010867756 0.0012776956 0.0016497449 0.0026484036 0.0013266494 0.0013119633 0.0066136657 0.0022274004 0.002031585 0.0067703184 0.0028393236 0.009903365 0.0044107423 0.0028638006 0.0024183204 0.0058940444 0.0031820007 0.0048219548 0.0014392433 0.0036617485 0.0036519577 0.0026239266 0.0014147664 0.0038428777 0.0009790771 0.0018553511 0.0077102324 0.0055562626 0.0050226655 0.0030547206 0.0062122443 0.0035148868 0.0033484437 0.00093501864 0.0034512468 0.0015518372 0.003505096 0.0037694469 0.002095225 0.0009986587 0.0051597366 0.0036225854 0.010368426 0.0062122443 0.0021294928 0.0018847234 0.0022763542 0.0015175695 0.0010525079 0.001155311 0.0023987389 0.0019189912 0.0015077788 0.0014539296 0.004229613 0.0022567727 0.000812634 0.007186426 0.003529573 0.004528232 0.0009594956 0.0009986587 0.0016742218 0.011783193 0.0018504558 0.04692227 0.0015077788 0.008581611 0.00082732015 0.00093501864 0.002819742 0.000900751 0.000988868 0.0006461909 0.001537151 0.001243428 0.00071962166 0.0005433878 0.0037939239 0.0007783663 0.00073430786 0.0017819203 0.0014049757 0.0007832617 0.0008517971 0.0007049355 0.0016938035 0.0021245973 0.0006804586 0.0010720894 0.0011602064 0.0009986587 0.0007734709 0.00070004014 0.0013070679 0.00073430786 0.00082732015 0.00071962166 0.0013902895 0.0008224248 0.00087137864 0.000685354 0.0018504558 0.0009154371 0.0015273603 0.000900751 0.0010622987 0.00080284325 0.00097418175 0.0014049757 0.0026435081 0.0020217942 0.0022029234 0.00091054174 0.0013070679 0.00076368015 0.0010769848 0.0012336372 0.011812566 0.0013217541 0.0019532589 0.013202855 0.0032554315 0.000988868 0.0041610776 0.002374262 0.0018651419 0.0018357696 0.0011063572 0.000988868 0.004464592 0.0011699972 0.0012091602 0.00086648326 0.0022371912 0.0010867756 0.002335099 0.0018602465 0.0016105819 0.00071962166 0.0016595357 0.0012923818 0.004738733 0.0012972772 0.0015322557 0.0030253483 0.0015175695 0.0013804988 0.0008860648 0.001537151 0.002056062 0.00084690173 0.0010622987 0.0009839725 0.0016595357 0.0014245572 0.0009252279 0.00073430786 0.02308664 0.004973712 0.0011063572 0.0068584355 0.004038693 0.0008860648 0.0011651018 0.0009790771 0.0052772257 0.0010182402 0.001992422 0.0012140556 0.0035246776 0.00083221553 0.001967945 0.0016399542 0.0066626198 0.0015175695 0.0019238866 0.0017721296 0.009624328 0.0016154773 0.008336842 0.07243702 0.004902541 2.466067e-06 7.398201e-06 0.0 2.466067e-06 1.7262468e-05 0.0 0.0 0.0 1.7262468e-05 0.0 0.0 2.466067e-06 0.0 0.0 9.8642675e-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 0.004641138 2.466067e-06 7.398201e-06 2.466067e-06 2.466067e-06 2.466067e-06 3.945707e-05 4.1923136e-05 2.4660669e-05 7.398201e-06 2.466067e-06 0.0 8.877841e-05 3.205887e-05 2.7126736e-05 0.00012823548 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007824831 9.864268e-06 1.7262468e-05 7.398201e-06 2.466067e-06 2.4660669e-05 7.151594e-05 9.8642675e-05 3.205887e-05 8.631234e-05 2.466067e-06 0.0 0.00040196892 7.151594e-05 2.9592804e-05 0.0014204546 0.0117606735 3.6991005e-05 0.000115905146 9.8642675e-05 0.00012823548 9.371054e-05 0.000258937 0.00037730823 0.00024907276 4.9321337e-05 2.2194603e-05 1.2330334e-05 0.0006535077 0.00019235323 9.617661e-05 0.0010061553 0.015861742 7.398201e-06 2.9592804e-05 2.466067e-06 9.864268e-06 0.00029592804 0.00018248895 0.00024414062 3.945707e-05 0.0017410433 0.0 0.0 0.002843375 8.631234e-05 4.4389206e-05 0.013965337 0.011607777 0.00020714963 0.0011713818 6.904987e-05 0.000737354 0.00014796402 0.0034450954 0.002212062 5.1787407e-05 0.000101108744 3.205887e-05 0.00026386915 3.4524935e-05 3.945707e-05 4.1923136e-05 3.945707e-05 0.013506648 0.00023181029 0.00080147176 0.00014549795 0.0016991202 0.0007916075 0.0067989463 0.0037163629 0.000106040876 0.0004562224 3.6991005e-05 9.8642675e-05 0.000258937 4.685527e-05 6.658381e-05 0.0015412918 0.010150331 0.00037484217 0.0002983941 0.0011861782 0.0017928306 0.00062884705 0.0018668127 0.0011319247 0.00049074733 0.0005795257 0.00018495502 0.00054746686 0.00030825837 0.00018002288 0.00018742109 0.00029346196 0.0073439474 0.00027373343 0.0003427833 0.0011861782 0.0014623777 0.00033045295 0.0014845723 0.0009987571 0.0003797743 0.00028852982 0.00014303188 0.00021947996 0.00032305476 7.398201e-05 7.151594e-05 0.00022934422 0.009065262 0.0018199574 0.0016054095 0.025422683 0.002979009 0.0013662011 0.0021997318 0.001879143 0.0017015862 0.0018174914 0.0018939395 0.0017977628 0.0018717448 0.0015733507 0.0016177399 0.0019950483 0.012786557 0.00069789693 0.0009543679 0.0019136679 0.004315617 0.0015536222 0.0029395518 0.0018865411 0.0014475813 0.0007028291 0.0006510417 0.00051047583 0.0009716304 0.0005869239 0.0007028291 0.0027324022 0.03253975 0.0051442157 0.004081341 0.005450008 0.015538688 0.014150292 0.007001164 0.0063180635 0.023195826 0.0022761798 0.0016645952 0.0030850498 0.009092389 0.0041775173 0.011681759 0.026320333 0.081713125 0.014241536 0.01568172 0.016544843 0.037723426 0.040268406 0.023955375 0.021116931 0.065501206 0.0065843984 0.00619476 0.009452434 0.03039674 0.01618973 0.03279869 0.06648517 0.006155303 0.0058051217 0.0056152344 0.0055807093 0.006076389 0.0057755285 0.0054993294 0.0057582664 0.0058766375 0.0054327454 0.005634963 0.0054771346 0.0054450757 0.005447542 0.0055535827 0.0057755285 1138.0 11.992091 13647.0 0.0310691 0.0013922474 0.002051733 0.0016853521 0.006228475 0.0014655236 0.001612076 0.0007327618 0.004396571 0.0014655236 0.002857771 0.0011724188 0.00403019 0.003224152 0.008719865 0.0019784567 0.012969883 0.016413864 0.014069026 0.014508683 0.012896608 0.011211256 0.009232799 0.00842676 0.012676779 0.014801788 0.012823331 0.011724189 0.012676779 0.008793142 0.011211256 0.009232799 0.0068146847 0.011650912 0.0051293327 0.01399575 0.0076207225 0.013775921 0.008573313 0.0059353705 0.0055689896 0.008206932 0.0009525903 0.0013922474 0.007840551 0.0048362277 0.0042500184 0.00498278 0.007767275 0.0069612367 0.0054957136 0.015387997 0.012310398 0.011577636 0.00747417 0.0051293327 0.004103466 0.008133655 0.0035172566 0.0068879607 0.004543123 0.0068879607 0.007107789 0.009452627 0.004103466 0.03641826 0.0043232944 0.014801788 0.019271635 0.05576317 0.006594856 0.015974207 0.01150436 0.030922547 0.0030043232 0.0034439804 0.031215651 0.009159522 0.03392687 0.03678464 0.012017293 0.0015387997 0.044185534 0.020150948 0.046750203 0.008866417 0.011577636 0.008206932 0.0076939985 0.0075474465 0.003224152 0.0013189712 0.0030775995 0.0011724188 0.0013189712 0.0021250092 6.031687 1.0 3.0 0.0 1.0 204274.0 212992.0 0.0 0.0 14.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 143872.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -10752.0 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 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -143872.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.684909 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.370676 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5270395 0.0 0.0 0.0 0.0 0.0 0.0 -4.8317857 3.0704985 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 -10432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 2745.0 0.0 0.0 0.0 0.0 0.0 -2704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -143444.0 0.0 0.0 0.0 0.0 0.0 0.0 -4466.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4466.0 159744.0 21504.0 188416.0 0.0 0.0 0.0 0.0 10432.0 176128.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 172032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.05673789 0.008304446 0.006173134 0.005653782 0.0057543353 0.004974789 0.0041973162 0.00542054 0.005050463 0.0056278664 0.0037474188 0.0044637304 0.004951983 0.003180382 0.0043289685 0.0046430673 0.0050442433 0.0037598584 0.004932287 0.0041496316 0.004360067 0.0031772722 0.004113349 0.003847972 0.005078452 0.003340023 0.003157576 0.0029274442 0.004153778 0.0034405761 0.0037826642 0.0037909572 0.0061710607 0.0038127266 0.003483078 0.0030228142 0.004890822 0.0041662175 0.0038407156 0.0037225396 0.004731181 0.0038977303 0.0033358766 0.0030953784 0.00436836 0.0037173566 0.003732906 0.0035877777 0.00551902 0.0039537083 0.003104708 0.0028953087 0.003673818 0.0030746458 0.0026817627 0.0028559167 0.0041796938 0.003315144 0.0035328362 0.003356609 0.00399621 0.0032301403 0.003505884 0.003451979 0.006596079 0.0039557815 0.0036147302 0.0032187372 0.004150668 0.0032177006 0.0035483858 0.003062206 0.0049996683 0.0037733344 0.0037059535 0.0035888143 0.0041320086 0.0031254406 0.003550459 0.0034675286 0.0051644924 0.0036333895 0.0036603417 0.0033327667 0.0039194995 0.0033773417 0.0033576458 0.003539056 0.0046441043 0.003645829 0.0038075433 0.003514177 0.004105056 0.003384598 0.0036883308 0.0037847375 0.005911903 0.0036250965 0.003343133 0.0029492134 0.0040117595 0.0030549497 0.003264349 0.0030311071 0.004969606 0.003168979 0.0032073343 0.00304562 0.0035836312 0.0028424405 0.0030953784 0.0031834918 0.0045114155 0.003280935 0.0032208106 0.0031420267 0.0038915104 0.0033369132 0.0032861184 0.0036240597 0.004624408 0.0032913014 0.0034727117 0.003165869 0.004035602 0.003191785 0.003471675 0.0033369132 0.008645497 0.004591236 0.0040117595 0.0035255798 0.00437458 0.003438503 0.0030197043 0.003384598 0.004540441 0.0038241295 0.0029564698 0.0031897116 0.003724613 0.0027999387 0.002849697 0.0029875687 0.005247423 0.0032052612 0.0034913712 0.003034217 0.0036613785 0.0031762354 0.0033141072 0.0032602025 0.004548734 0.0028341475 0.0030435468 0.0027004222 0.0035162503 0.0032353234 0.0029886053 0.0031513562 0.0050069247 0.0034053307 0.0032705688 0.0027957922 0.0037795543 0.0030238507 0.0030632426 0.003193858 0.004137192 0.0029906787 0.0031140377 0.0030072648 0.0036385725 0.0028372572 0.0029150045 0.003034217 0.00466691 0.0031202575 0.0038458987 0.0028569533 0.0035628986 0.0031482463 0.0029917152 0.0031192207 0.0042522578 0.0031451366 0.0033369132 0.0031772722 0.0036541221 0.0031824552 0.003323437 0.0033534993 0.006724621 0.004061518 0.0037266861 0.0033348398 0.004111276 0.0032602025 0.0033078876 0.0032291035 0.0043403716 0.00333173 0.0031150742 0.003070499 0.003645829 0.0029886053 0.003073609 0.0027957922 0.004251221 0.0032705688 0.0030870852 0.0029958617 0.0037163198 0.0030145212 0.002938847 0.0029409204 0.003974441 0.0031119643 0.0027387775 0.0026454807 0.0035349096 0.0029471403 0.0035774114 0.002885979 0.004947837 0.0032384333 0.0033887448 0.0029803123 0.0038137631 0.0030694625 0.003196968 0.0029046384 0.0044440343 0.005457859 0.0034696017 0.0031399534 0.0037837008 0.0030673894 0.0032487996 0.003188675 0.0046140417 0.0033192905 0.0034250268 0.0030466567 0.0037474188 0.0030870852 0.0033068508 0.0032394698 0.004351774 0.003025924 0.0031855651 0.0028642097 0.0040179794 0.0030995249 0.0042284154 0.0045197085 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 0.09921709 0.06201587 0.0624533 0.055324703 0.060589943 0.059545923 0.05496096 0.054454517 0.060452435 0.05318426 0.052120004 0.052949715 0.056428917 0.050547745 0.05664789 0.05384637 4015.0 5.7038608 22901.0 0.017117156 0.010436226 0.00934457 0.008602245 0.013405528 0.0124885375 0.011746212 0.011527881 0.012619536 0.009737566 0.008471246 0.008602245 0.013885857 0.010523558 0.011833545 0.009912231 0.01685516 0.011877211 0.008689577 0.007510589 0.009824898 0.008471246 0.007816252 0.008340247 0.010261561 0.008471246 0.009606567 0.008820576 0.011571547 0.009038907 0.0096939 0.009213571 0.018077813 0.010916553 0.010348893 0.009126239 0.010829221 0.008951575 0.010741889 0.008296581 0.014278852 0.011615213 0.009781232 0.008995241 0.011440548 0.009388236 0.01165888 0.009606567 0.014802847 0.009650233 0.009955897 0.009082573 0.012095542 0.00934457 0.009562901 0.009781232 0.013754858 0.009213571 0.010523558 0.009562901 0.011178551 0.009868565 0.01039256 0.010698223 0.017946815 0.011003886 0.0096939 0.008165582 0.013099865 0.008252915 0.009388236 0.008340247 0.015457841 0.009300904 0.008907908 0.008689577 0.011353216 0.007947251 0.009912231 0.007859919 0.013187197 0.007947251 0.008689577 0.008733243 0.011484215 0.009475568 0.008165582 0.007859919 0.010872887 0.008907908 0.011877211 0.008602245 0.011265883 0.009082573 0.009955897 0.008733243 6.5544167 0.0 0.0 0.0 14.0 964664.0 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: 0.19359396 0.014915999 0.006908463 0.0059664 0.014444968 0.003297221 0.004239284 0.0043962947 0.013188884 0.0026691789 0.0021981474 0.0021981474 0.006908463 0.0029832 0.003297221 0.0053383578 0.010362694 0.0020411368 0.0014130947 0.0014130947 0.0031402104 0.008478568 0.0007850526 0.0015701052 0.0034542314 0.0009420631 0.0010990737 0.0010990737 0.0029832 0.0006280421 0.0007850526 0.0017271157 0.0034542314 0.00047103156 0.00031402105 0.0010990737 0.008164547 0.0007850526 0.004239284 0.0012560842 0.0017271157 0.00031402105 0.00031402105 0.0020411368 0.0010990737 0.00031402105 0.0012560842 0.00031402105 0.0017271157 0.0 0.0007850526 0.008792589 0.0015701052 0.00031402105 0.00047103156 0.0007850526 0.0014130947 0.0025121684 0.00015701052 0.0050243367 0.0009420631 0.0009420631 0.00031402105 0.0007850526 0.005809389 0.018370232 0.0009420631 0.0007850526 0.0034542314 0.009577641 0.0012560842 0.0007850526 0.0012560842 0.0006280421 0.0006280421 0.0006280421 0.0037682524 0.01208981 0.0017271157 0.0029832 0.016015073 0.0028261894 0.0018841262 0.008007537 0.0009420631 0.006437431 0.008635579 0.006594442 0.0014130947 0.005181347 0.0006280421 0.0026691789 0.0015701052 0.008164547 0.005809389 0.0037682524 0.005181347 0.00612341 0.00031402105 0.0006280421 0.0017271157 0.0012560842 0.0009420631 0.00047103156 0.008164547 0.0007850526 0.006437431 0.0 0.0015701052 0.0009420631 0.0012560842 0.0007850526 0.0023551579 0.0014130947 0.0021981474 0.0017271157 0.01208981 0.011775789 0.00047103156 0.0025121684 0.0029832 0.0017271157 0.00015701052 0.0009420631 0.0023551579 0.0025121684 0.0018841262 0.0020411368 0.003297221 0.0025121684 0.00047103156 0.016172083 0.0028261894 0.014915999 0.00015701052 0.0 0.0006280421 0.014915999 0.0014130947 0.037054483 0.0014130947 0.02731983 0.00015701052 0.0 0.0009420631 0.00031402105 0.0 0.00031402105 0.0014130947 0.0006280421 0.00047103156 0.00015701052 0.0007850526 0.00015701052 0.0 0.0 0.00047103156 0.00047103156 0.0 0.0007850526 0.00047103156 0.0012560842 0.00047103156 0.0006280421 0.00031402105 0.00031402105 0.0 0.00015701052 0.0009420631 0.0 0.00031402105 0.0006280421 0.0 0.00031402105 0.00015701052 0.00031402105 0.00015701052 0.00015701052 0.0 0.0009420631 0.0009420631 0.0007850526 0.00015701052 0.0012560842 0.0040822737 0.0012560842 0.0006280421 0.00031402105 0.0007850526 0.0010990737 0.00047103156 0.0006280421 0.011304758 0.0023551579 0.003297221 0.005809389 0.003297221 0.0006280421 0.0028261894 0.003297221 0.0023551579 0.0012560842 0.00031402105 0.0009420631 0.0026691789 0.0009420631 0.0021981474 0.0015701052 0.0018841262 0.00015701052 0.0014130947 0.00031402105 0.00031402105 0.0 0.0009420631 0.00031402105 0.0014130947 0.0009420631 0.00031402105 0.0034542314 0.0010990737 0.00031402105 0.00047103156 0.00015701052 0.0010990737 0.00031402105 0.00612341 0.00015701052 0.0020411368 0.0031402104 0.00047103156 0.0007850526 0.030774062 0.0017271157 0.00015701052 0.0053383578 0.009891663 0.00031402105 0.0010990737 0.0007850526 0.008007537 0.0015701052 0.0006280421 0.00015701052 0.005809389 0.00031402105 0.003925263 0.0014130947 0.008164547 0.003297221 0.0007850526 0.0014130947 0.008792589 0.003925263 0.003297221 0.062490188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09394531 0.0065429686 0.0067382813 0.0029296875 0.011621093 0.011230469 0.009765625 0.009375 0.011621093 0.0013671875 0.0014648438 0.0026367188 0.008300781 0.001953125 0.008691406 0.011816407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12109375 0.027832031 0.013867187 0.019042969 0.041308593 0.05673828 0.01875 0.028320312 0.09033203 0.0038085938 0.0037109375 0.008496094 0.0265625 0.009765625 0.043847658 0.086523436 0.041796874 0.011035156 0.00625 0.006152344 0.016210938 0.01669922 0.0078125 0.012402344 0.02607422 0.0012695312 0.0014648438 0.0030273437 0.012890625 0.0021484375 0.014355469 0.020410156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17.0 7.5882354 129.0 0.054263566 0.007751938 0.0 0.007751938 0.023255814 0.0 0.015503876 0.0 0.0 0.0 0.0 0.0 0.015503876 0.0 0.054263566 0.0 0.0 0.0 0.007751938 0.007751938 0.0 0.0 0.0 0.0 0.0 0.007751938 0.0 0.007751938 0.0 0.0 0.0 0.0 0.03875969 0.0 0.0 0.007751938 0.015503876 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007751938 0.0 0.0 0.007751938 0.015503876 0.015503876 0.015503876 0.08527132 0.007751938 0.0 0.023255814 0.007751938 0.0 0.007751938 0.0 0.007751938 0.015503876 0.007751938 0.007751938 0.007751938 0.007751938 0.046511628 0.007751938 0.031007752 0.031007752 0.031007752 0.007751938 0.015503876 0.015503876 0.031007752 0.015503876 0.0 0.007751938 0.015503876 0.031007752 0.031007752 0.007751938 0.0 0.054263566 0.023255814 0.054263566 0.015503876 0.0 0.0 0.007751938 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.227942 0.0 0.0 0.0 1.0 6369.0 1130496.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1525819500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 991232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4194055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84349.0 0.0 991116.0 0.0 0.0 0.0 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 0.0 120.0 115388.0 991116.0 131072.0 0.0 0.0 19288.0 1111552.0 4276.0 1122304.0 84.0 113008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 113096.0 0.0 0.0 416.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.10462321 0.006369937 0.002694203 0.0035655622 0.0058591403 0.0031649373 0.002694203 0.004607187 0.0033352028 0.002664156 0.0023035936 0.0023035936 0.0034453748 0.0027042185 0.0028744843 0.00682064 0.006239734 0.0024337966 0.0024638437 0.0027242498 0.003435359 0.002964625 0.0047273748 0.0022234686 0.0037258123 0.0024337966 0.0032751092 0.0026841874 0.005518609 0.002584031 0.0027342655 0.003114859 0.0080125 0.004957734 0.0027242498 0.0024838748 0.020021234 0.0026541403 0.002533953 0.0025139218 0.0030747966 0.0031549216 0.002213453 0.0026140779 0.003305156 0.0024137655 0.0025139218 0.0027042185 0.0033952966 0.002343656 0.0024337966 0.004817515 0.004136453 0.0054785465 0.0027042185 0.0027142342 0.003285125 0.0035355154 0.005067906 0.005498578 0.0039561717 0.0049176714 0.002533953 0.0029746403 0.00874364 0.0028844997 0.002774328 0.0024438123 0.010155844 0.0030447498 0.0024938905 0.002794359 0.0027843437 0.002533953 0.002373703 0.0025740154 0.005999359 0.0027643123 0.0022435 0.0024237812 0.0037658748 0.0067104683 0.0029245624 0.0056087496 0.0071110935 0.0034553905 0.0029245624 0.0028244061 0.0029746403 0.0023937342 0.0021533594 0.003064781 0.0032150154 0.0025740154 0.0026741717 0.0047874684 0.0033652498 0.0030747966 0.0024938905 0.002984656 0.0055085933 0.00657025 0.003114859 0.0028844997 0.0030547655 0.0033151717 0.0027342655 0.004086375 0.003735828 0.002644125 0.0029546092 0.003014703 0.005117984 0.0027142342 0.0031949843 0.0033952966 0.0054785465 0.0058290935 0.0024938905 0.0029546092 0.0048475624 0.0028844997 0.005388406 0.0023937342 0.0038059372 0.0031048437 0.0048675933 0.0028444373 0.0031849686 0.0035855935 0.0032049997 0.0038760467 0.00464725 0.004697328 0.0027142342 0.005338328 0.0037258123 0.009995593 0.0062797964 0.010145827 0.0034754216 0.0031949843 0.0026541403 0.0066804215 0.0031348905 0.0025539843 0.0026140779 0.0024237812 0.0034553905 0.0027142342 0.0028244061 0.0048675933 0.0029145468 0.0030046874 0.0031549216 0.0027843437 0.002794359 0.0022735468 0.0024337966 0.0026741717 0.002533953 0.0027042185 0.0043067187 0.0023636874 0.0029546092 0.0028744843 0.0024037499 0.0025639997 0.0023837185 0.002744281 0.0024938905 0.002664156 0.0024838748 0.0025439686 0.0020832499 0.0024337966 0.005338328 0.0024638437 0.0027542966 0.002453828 0.0028344216 0.0025439686 0.0025139218 0.004476984 0.0033652498 0.002533953 0.0027843437 0.0024838748 0.0031449061 0.0025539843 0.0029746403 0.005328312 0.0036056247 0.002794359 0.002904531 0.0030247185 0.0028945154 0.0024037499 0.003014703 0.004877609 0.0034253434 0.0029546092 0.002984656 0.0025639997 0.0021834061 0.0022735468 0.002343656 0.0031048437 0.005328312 0.0029946717 0.002373703 0.0026341092 0.0028744843 0.0022034373 0.0027042185 0.0028344216 0.0041664997 0.0026240936 0.0026841874 0.0027643123 0.005468531 0.0024237812 0.004827531 0.0052181403 0.0031048437 0.002533953 0.0021533594 0.0024237812 0.0030547655 0.003174953 0.0026541403 0.0027342655 0.0026741717 0.0028644686 0.0025539843 0.002744281 0.002964625 0.0026040624 0.0024638437 0.002343656 0.002774328 0.0025239373 0.0046272185 0.0025740154 0.004907656 0.0026341092 0.0035555467 0.009935499 0.005849125 0.0031649373 0.0030046874 0.0023937342 0.0030848123 0.0021934218 0.002744281 0.006349906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005589803 0.00014241536 0.00026957193 0.001546224 0.0003153483 0.0002593994 0.00097147626 0.00047302246 0.0001373291 9.1552734e-05 0.00010172526 0.00014241536 7.6293945e-05 0.00012207031 5.5948894e-05 0.00012207031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013722737 0.00081380206 0.0016377767 0.0006866455 0.002029419 0.0013122559 0.0032348633 0.0023142498 0.0017089844 0.0003306071 0.0004272461 0.0004984538 0.0006510417 0.0006154378 0.0005086263 0.0007578532 0.008285522 0.0007171631 0.001373291 0.0010121664 0.0009053548 0.0010935465 0.00088500977 0.0011291504 0.0016174316 0.0003000895 0.0003153483 0.00059000653 0.00032043457 0.00084940594 0.00024414062 0.0011952718 0.029362997 0.0036977131 0.01365153 0.003941854 0.009048462 0.005177816 0.0028584797 0.005050659 0.016148886 0.0028483074 0.0021769207 0.00340271 0.005203247 0.0030873616 0.0034179688 0.005508423 0.0152282715 0.0043640137 0.009155273 0.005304972 0.007624308 0.0060933433 0.0040283203 0.005620321 0.010620117 0.0021616619 0.002166748 0.003346761 0.0037638347 0.0046895347 0.002746582 0.0068359375 0.07978821 0.04421997 0.042485554 0.04669698 0.039652508 0.045873005 0.04347229 0.047210693 0.048233032 0.04152425 0.037913006 0.043238323 0.03789266 0.04553731 0.036656696 0.048772175 434.0 6.760369 2934.0 0.011929107 0.010224949 0.00852079 0.0068166326 0.020109067 0.0044308114 0.007498296 0.007157464 0.0109066125 0.006475801 0.004771643 0.007839127 0.006475801 0.0068166326 0.011929107 0.007839127 0.011247444 0.0051124743 0.007498296 0.011588275 0.0109066125 0.011929107 0.008179959 0.006475801 0.00852079 0.0109066125 0.01670075 0.011929107 0.01261077 0.01261077 0.009202454 0.008179959 0.012269938 0.007498296 0.0051124743 0.009543286 0.018064076 0.006475801 0.011247444 0.015678255 0.009543286 0.01261077 0.0054533063 0.006475801 0.011247444 0.0109066125 0.007498296 0.007157464 0.011929107 0.007498296 0.011929107 0.012951602 0.014996592 0.011929107 0.008179959 0.010224949 0.010224949 0.0051124743 0.0054533063 0.0051124743 0.007498296 0.0051124743 0.006475801 0.00852079 0.01056578 0.016359918 0.011929107 0.014996592 0.024199046 0.03578732 0.009202454 0.011588275 0.009543286 0.0146557605 0.006134969 0.011247444 0.022154056 0.010224949 0.013633265 0.016019087 0.010224949 0.0068166326 0.01704158 0.012951602 0.020449897 0.012951602 0.0057941377 0.009202454 0.01056578 0.011588275 0.007157464 0.0040899795 0.007839127 0.004771643 0.007157464 0.009884117 6.4549236 0.0 0.0 0.0 2.0 99844.0 126976.0 1.0 0.0 25.0 1.0 1.0 1.0 0.0 0.0 760284600.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 10.0 5.0 0.0 5.0 0.0 0.0 1024.0 4096.0 9.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -1024.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 2048.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22016.0 0.0 -4608.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8735824 7.8604145 0.0 0.0 0.0 0.0 0.0 0.0 -5.8167825 4.730019 7.4453273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5586076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.83962 0.0 -7.728379 0.0 0.0 0.0 0.0 3.405434 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -548.0 28646.0 0.0 0.0 0.0 0.0 0.0 0.0 -894.0 1656.0 24220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17862.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21793.0 0.0 -4201.0 0.0 0.0 0.0 0.0 1016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 29436.0 1016.0 118784.0 0.0 0.0 248.0 23616.0 548.0 122880.0 56.0 28816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 132.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.025421496 0.0054044724 0.004680742 0.00495044 0.004679505 0.0039050516 0.0038435035 0.003852782 0.004242483 0.0036990666 0.0038598957 0.0037269024 0.0037689654 0.003858968 0.0035546299 0.0050772475 0.0041750586 0.0037454597 0.003727521 0.0036532923 0.0037346347 0.0038394828 0.0035725685 0.0036390652 0.003759996 0.0036403022 0.0036050435 0.003549372 0.0036038065 0.0036403022 0.0037043246 0.0038308227 0.0050491025 0.0035110204 0.0036743237 0.003674633 0.004852087 0.0036031879 0.003609992 0.0036112294 0.0038815457 0.0036232916 0.003629168 0.0038230906 0.003639993 0.0038233998 0.0037550475 0.0037482432 0.0041252635 0.003558032 0.00361958 0.0040572206 0.0036752517 0.0035023605 0.0035901978 0.0035373098 0.003868865 0.0036879324 0.0036106107 0.003907526 0.003703706 0.0037439133 0.003800822 0.0039031957 0.004361868 0.0049173464 0.0036718494 0.0037692748 0.0044382615 0.004167017 0.0036622616 0.0036808187 0.008368675 0.0042644423 0.0036263843 0.003664736 0.0043368153 0.0038521634 0.00361525 0.003688551 0.003785667 0.003525557 0.0036415395 0.0036842208 0.0037160774 0.003646488 0.0035908164 0.0037884505 0.0036876232 0.0034961747 0.0034967933 0.0036415395 0.003771749 0.0036511272 0.003611848 0.003685458 0.003694118 0.0040303124 0.0036440138 0.0038846387 0.003906598 0.004324135 0.004243411 0.0036263843 0.0037098918 0.003969383 0.003467411 0.00359793 0.003970311 0.0037402017 0.0039684554 0.0040714475 0.0040194876 0.0035264848 0.004164234 0.0040364983 0.0048517776 0.0042050593 0.00358061 0.003741439 0.0037114383 0.003705871 0.0035521556 0.003742676 0.0036749423 0.0036631895 0.0036319515 0.0038243278 0.0037497897 0.0036978296 0.00354597 0.0049575535 0.003916495 0.004114129 0.0035654549 0.0036631895 0.0037841205 0.00472064 0.0037698932 0.0067560547 0.0035271035 0.0047914665 0.0036229822 0.0036359723 0.0036560758 0.0035388563 0.003552465 0.0035484442 0.0035555577 0.0035431862 0.003501742 0.0036554574 0.0035608157 0.0034773082 0.0035057627 0.0036010228 0.003653911 0.003501742 0.0035731872 0.0037312326 0.0035728777 0.0035608157 0.0035833935 0.0036044251 0.0034989584 0.003549372 0.0034804011 0.0035932907 0.003600095 0.0035274127 0.0035670013 0.0036322607 0.003529887 0.0035261756 0.0035456605 0.0036062808 0.003577208 0.0035419492 0.0035277219 0.0035864864 0.0034980304 0.0035243197 0.0036300959 0.0037451503 0.003784739 0.0037816463 0.0035932907 0.0036489624 0.0036406117 0.0036115386 0.003679891 0.0037148404 0.004380425 0.004083819 0.0037572125 0.0040497975 0.0038886594 0.0036662824 0.0036987574 0.0038837108 0.0038413384 0.0038002033 0.0035744242 0.0036600966 0.0041166036 0.00357195 0.003647416 0.003822472 0.0037816463 0.0036251473 0.0036192709 0.0036662824 0.003523392 0.0036056621 0.0035379285 0.003642158 0.003737109 0.0036133942 0.0035416398 0.0036795817 0.0036013322 0.003617415 0.0035583414 0.0037649446 0.0037992755 0.0037009225 0.0035778263 0.003644323 0.0035150412 0.003551537 0.0035855586 0.0036625708 0.0047357953 0.00392299 0.0035713313 0.0039597955 0.003793399 0.0035391655 0.0036294772 0.0037395833 0.0038812365 0.0036727774 0.0036140129 0.003676798 0.0036186522 0.0036013322 0.003682056 0.0038750507 0.00388402 0.0036808187 0.003685149 0.003763089 0.0036634987 0.0037538104 0.0039560837 0.0071284357 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027044222 2.9395892e-06 2.1660132e-06 2.1660132e-06 7.735761e-06 4.022596e-06 1.7018675e-06 1.5471522e-06 6.962185e-06 3.2490198e-06 2.1660132e-06 2.1660132e-06 2.1660132e-06 3.0943045e-06 1.5471522e-06 2.7848741e-06 0.0012222503 2.2897853e-05 4.2237258e-05 2.5682728e-05 4.734286e-05 1.4079085e-05 6.482568e-05 4.146368e-05 2.0112979e-05 8.509337e-06 2.8003456e-05 7.5810462e-06 9.437629e-06 9.747059e-06 8.509337e-06 1.1603642e-05 0.0032425218 5.801821e-05 0.00016136798 4.2237258e-05 0.00025883858 6.699169e-05 0.00020871084 0.00013630411 2.104127e-05 2.1969561e-05 7.039543e-05 2.5682728e-05 6.0493654e-05 1.8101682e-05 2.073184e-05 2.2588423e-05 0.0023375924 5.2757892e-05 0.0001636887 7.348973e-05 0.00011680999 5.4614473e-05 0.00058668014 0.00030215882 1.4697946e-05 1.6090384e-05 1.0520635e-05 1.3150794e-05 1.48526615e-05 1.1913073e-05 1.1294212e-05 2.1969561e-05 0.0026954487 8.138021e-05 0.00047868892 0.00016322457 0.00020700897 0.000112168535 0.0012507179 0.00064052106 7.534632e-05 3.6512793e-05 5.7554065e-05 2.3207283e-05 0.000102576196 2.8003456e-05 2.8003456e-05 3.991653e-05 0.0023136116 0.00024615193 0.00036110534 0.0002469255 0.00021567302 0.00016353399 0.0011400965 0.0006200986 3.9607097e-05 2.9550609e-05 7.271615e-05 2.6920448e-05 6.126723e-05 2.8777033e-05 4.8425867e-05 8.896126e-05 0.003470417 0.0003250567 0.00031453604 0.00029055518 0.00019262046 0.00020190337 0.00035135826 0.00024429534 0.00013228152 0.000111240246 0.000142338 0.00010861009 0.00014140972 0.00012996078 0.00012052316 0.00037688628 0.00075934234 5.801821e-05 0.0001147987 7.983306e-05 0.00010443278 3.4192064e-05 0.00034702625 0.00010520635 6.621812e-05 2.84676e-05 0.00014589645 3.666751e-05 7.550103e-05 6.173138e-05 7.9214195e-05 0.00012145145 0.002191077 0.0002671932 0.00033511317 0.00026611018 0.0009838342 0.00015827367 0.0003892635 0.00026889506 0.00085031486 0.00011882129 0.00022743137 0.0001991185 0.0004310366 0.0001930846 0.00027090637 0.0004540892 0.011703743 0.0019967547 0.0028421187 0.0020105243 0.008973947 0.0017553989 0.0012751629 0.0020365166 0.007730037 0.0007236031 0.0005291261 0.0011725867 0.003917854 0.00125768 0.0025011264 0.0034394742 0.0024943189 0.0006943619 0.0009227216 0.00086717884 0.0015850575 0.00062628725 0.00073969347 0.0007523801 0.0013822258 0.0002794157 0.00028251 0.0003810636 0.00085712236 0.00038802577 0.0005719822 0.0011173533 0.05570429 0.055622444 0.055762306 0.055819705 0.05540507 0.055241536 0.055486757 0.056479722 0.055489544 0.055793557 0.055421777 0.056100514 0.055785824 0.056000415 0.056281995 0.05745752 15542.0 6.651718 103381.0 0.027364796 0.007544907 0.008396127 0.008812064 0.0114044165 0.007767385 0.008357435 0.008115611 0.008850756 0.007854441 0.007854441 0.007931825 0.008879775 0.009208655 0.011152919 0.009469825 0.011298014 0.0089668315 0.009653611 0.009286039 0.008338089 0.008318744 0.008792718 0.00788346 0.0086476235 0.009044215 0.008386454 0.008299397 0.00925702 0.009334404 0.009131271 0.0075739254 0.009363423 0.017420996 0.008483184 0.010011511 0.01174297 0.009885763 0.009131271 0.009024869 0.011665586 0.008531548 0.008376781 0.0075352336 0.009402115 0.0088701015 0.008115611 0.008695989 0.008473511 0.007748039 0.00942146 0.01063058 0.010775674 0.01020497 0.0101856245 0.012216945 0.008386454 0.007767385 0.008028555 0.008251033 0.009315058 0.009005523 0.0094794985 0.009653611 0.0085799135 0.018407637 0.009595574 0.014296631 0.013406719 0.025555953 0.011984794 0.009431133 0.009566555 0.020293865 0.0080672465 0.007854441 0.015563788 0.011820354 0.015737902 0.016589122 0.012091197 0.007477196 0.019210493 0.014722241 0.021338543 0.0143256495 0.0088701015 0.009179637 0.010137259 0.0095859 0.008386454 0.00798019 0.008183322 0.008154303 0.008125284 0.00850253 6.5096073 0.0 29.0 0.0 43.0 3233248.0 598016.0 1.0 0.0 151.0 1.0 1.0 1.0 0.0 0.0 1529852700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 2.0 5.0 2.0 207872.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 62464.0 0.0 0.0 0.0 0.0 10240.0 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 -208384.0 0.0 159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4031105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0731883 0.0 0.0 0.0 0.0 5.5076733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8982055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.273994 0.0 7.7720556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61984.0 0.0 0.0 0.0 0.0 9852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -135652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -207924.0 0.0 159400.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 270768.0 60.0 270820.0 159400.0 434176.0 9852.0 417792.0 13528.0 3219720.0 2008.0 593920.0 84.0 254864.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 222784.0 0.0 0.0 1224.0 212992.0 256.0 267412.0 0.0 0.0