Input: 0.36865234 0.005558894 0.004206731 0.00386869 0.0053523136 0.0026104266 0.0028733474 0.0021033655 0.0044884314 0.0010892428 0.0020282452 0.001934345 0.0037747896 0.0018216646 0.0022723859 0.0023475061 0.010967548 0.0033991886 0.00067608175 0.001183143 0.0023850661 0.005408654 0.0014460637 0.0011080229 0.0016714243 0.001164363 0.0016338641 0.0021784855 0.0016150841 0.001539964 0.0014085036 0.0011080229 0.004206731 0.0011455829 0.0009953425 0.00067608175 0.0011455829 0.0024414062 0.0008451022 0.0006385216 0.0017089844 0.00080754206 0.0009390024 0.0009202224 0.0013333834 0.0008263221 0.0013709435 0.0008451022 0.0034179688 0.0012958234 0.0009202224 0.0010516827 0.001539964 0.0012394831 0.0010329026 0.0009014423 0.0026292067 0.0011080229 0.001164363 0.001990685 0.0012019231 0.0014836238 0.0010141226 0.0006385216 0.016939603 0.0026667668 0.0015211839 0.002328726 0.0024038462 0.0051457332 0.0016714243 0.0009765625 0.0012958234 0.0017653245 0.0008263221 0.0012019231 0.0024601864 0.005427434 0.0013146034 0.0012958234 0.0081881005 0.0048828125 0.0044133114 0.0023099459 0.0017465445 0.0033052885 0.0032865084 0.0013521635 0.001558744 0.0009953425 0.0005821815 0.0009765625 0.0021784855 0.00095778244 0.00095778244 0.005427434 0.0030987079 0.0065542366 0.0031362681 0.0020470251 0.0032677283 0.0053147534 0.0036808895 0.0017465445 0.006685697 0.0029296875 0.0048640324 0.0012207031 0.0036057692 0.0020282452 0.0024789663 0.0028357874 0.0027606671 0.0010141226 0.0042442908 0.0020658053 0.0041691707 0.0026855469 0.003117488 0.0010704627 0.0016714243 0.0009390024 0.0009765625 0.00095778244 0.0013146034 0.003155048 0.0009202224 0.0006385216 0.0028921275 0.0010704627 0.0009953425 0.0032301683 0.0017465445 0.004732572 0.0012207031 0.0013146034 0.0014460637 0.009821965 0.0009953425 0.012019231 0.0024789663 0.010704627 0.0027606671 0.0009390024 0.003493089 0.0010141226 0.0012207031 0.0012019231 0.0013897235 0.0029860276 0.0012394831 0.000769982 0.0016150841 0.0010141226 0.00060096156 0.0010329026 0.0021409255 0.00095778244 0.001164363 0.0011268029 0.0036621094 0.0016902044 0.0010892428 0.0020094651 0.0014836238 0.0018967849 0.0011455829 0.0013333834 0.0022723859 0.0009202224 0.0012207031 0.0012958234 0.0017653245 0.0009765625 0.0009953425 0.0008451022 0.0037747896 0.0014836238 0.0010892428 0.000769982 0.0013709435 0.0010704627 0.00080754206 0.0009202224 0.0025728666 0.0014836238 0.0013897235 0.000769982 0.0016150841 0.0012394831 0.0010516827 0.00088266225 0.004563552 0.0010892428 0.0010329026 0.0013146034 0.0026667668 0.0010704627 0.001183143 0.0028545673 0.0018967849 0.0010516827 0.0011455829 0.001164363 0.003155048 0.0015963041 0.0016902044 0.0016714243 0.0032489484 0.0021597056 0.0014085036 0.0017653245 0.00400015 0.0020845854 0.0022723859 0.0025728666 0.0029860276 0.0013897235 0.002366286 0.0035494291 0.0040752706 0.00080754206 0.0020845854 0.0024038462 0.0033991886 0.0018780048 0.003493089 0.001539964 0.0024226261 0.0020282452 0.0020282452 0.00075120194 0.0032301683 0.0020845854 0.001934345 0.0024414062 0.004638672 0.0017465445 0.0024414062 0.002328726 0.00400015 0.0007324219 0.0021409255 0.0040189303 0.0040940503 0.002741887 0.0036433293 0.0029672475 0.0037372296 0.0028733474 0.00069486175 0.0022723859 0.0025353064 0.0021784855 0.0036433293 0.04587966 0.1764706 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.034495633 0.0001819087 0.00020105699 0.00014361214 0.00027765014 0.000114889706 0.0003638174 0.00019148285 0.00078507967 4.787071e-05 0.00014361214 8.616728e-05 0.000114889706 7.659314e-05 0.00019148285 0.0017999387 0.015912224 7.659314e-05 0.00028722428 0.000134038 0.0004308364 0.00022977941 0.001685049 0.0005648744 6.7019e-05 1.9148285e-05 2.8722427e-05 9.574142e-05 9.5741425e-06 9.5741425e-06 9.5741425e-06 4.787071e-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 0.013662301 2.8722427e-05 0.0 0.000134038 0.00073720893 0.0012733609 0.0023360907 0.001215916 1.9148285e-05 1.9148285e-05 7.659314e-05 3.829657e-05 9.5741425e-06 1.9148285e-05 9.5741425e-06 2.8722427e-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 0.036668964 0.0021350337 0.0020392924 0.0010914522 0.0038583793 0.0010627297 0.0050072763 0.002087163 0.0005648744 0.0004978554 0.0007276348 0.00028722428 0.00044041054 0.0003638174 0.00030637256 0.001685049 0.026596967 0.0006414675 0.0010340074 0.0009861366 0.0028530944 0.0023743873 0.006816789 0.0034466912 0.0009765625 0.0003638174 0.0011967678 0.00040211398 0.00059359684 0.0007563572 0.0021158855 0.0076688877 0.009689032 0.0015605852 0.0010914522 0.00037339155 0.001953125 0.00019148285 0.0013212316 0.00039253983 0.00034466913 0.0003159467 0.00025850185 0.00012446386 0.00020105699 0.00023935355 0.000268076 0.001282935 0.0072380514 0.00073720893 0.0003159467 0.0009095435 0.0016946231 0.0029105393 0.00540939 0.0027860755 0.00091911765 0.0017712163 0.0023935356 0.0011488971 0.0028052237 0.004643459 0.0074582566 0.015682444 0.008272059 0.00017233456 0.00040211398 0.0004308364 0.00069891236 0.00039253983 0.0022116269 0.0007755055 0.0003159467 0.00032552084 0.00034466913 0.00057444855 0.000536152 0.0017712163 0.0007563572 0.0016276041 0.0057157627 0.002144608 0.00070848654 0.0010340074 0.002556296 0.0026903339 0.0022116269 0.0010914522 0.005074295 0.0017903646 0.0022020526 0.001953125 0.0030254289 0.006204044 0.006328508 0.014093137 0.038286995 0.018506818 0.0033126532 0.00630936 0.022681143 0.021503523 0.015347349 0.007755055 0.034103096 0.0069891238 0.005581725 0.0065104165 0.010043276 0.014332491 0.009756051 0.03388289 0.03235103 0.01328891 0.011661305 0.011498544 0.012187883 0.011106005 0.013566559 0.011881511 0.016218597 0.011230469 0.011986826 0.011421951 0.011824066 0.011508119 0.011910233 0.0120442705 186.0 11.424731 2125.0 0.007529412 0.0028235293 0.0009411765 0.0009411765 0.001882353 0.001882353 0.00047058825 0.0014117646 0.002352941 0.0009411765 0.00047058825 0.0009411765 0.001882353 0.0 0.0051764706 0.0009411765 0.008470588 0.004705882 0.004235294 0.001882353 0.002352941 0.00047058825 0.0056470586 0.0009411765 0.0065882355 0.002352941 0.0009411765 0.0009411765 0.00047058825 0.0009411765 0.00047058825 0.00047058825 0.004235294 0.004235294 0.0070588235 0.018823529 0.007529412 0.012705882 0.016 0.0028235293 0.0014117646 0.013647059 0.00047058825 0.0028235293 0.016470589 0.014117647 0.009411764 0.012235294 0.0070588235 0.0009411765 0.0032941177 0.01835294 0.003764706 0.001882353 0.030117648 0.00047058825 0.0009411765 0.00047058825 0.0 0.0032941177 0.004235294 0.0 0.0009411765 0.11247059 0.001882353 0.09929412 0.055529412 0.010352941 0.021647058 0.057882354 0.009411764 0.008 0.0056470586 0.016 0.016470589 0.0056470586 0.024 0.019294119 0.010352941 0.022117646 0.010823529 0.0032941177 0.061647058 0.011294117 0.04 0.010352941 0.052705884 0.003764706 0.007529412 0.003764706 0.0009411765 0.0009411765 0.0014117646 0.0014117646 0.0009411765 0.0009411765 5.266402 1.0 0.0 0.0 1.0 53248.0 53248.0 0.0 0.0 73.0 0.0 1.0 0.0 0.0 0.0 1497448600.0 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 1.0 2.0 6.0 0.0 4.0 0.0 4.0 0.0 36864.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.986127 0.0 6.2683973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34528.0 0.0 4524.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 37012.0 4524.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 340.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05674848 0.008305996 0.0061815437 0.00565069 0.0057533355 0.0049653496 0.0041980995 0.0054236255 0.0050462214 0.005632027 0.0037522654 0.004466637 0.004950834 0.0031851227 0.00433185 0.0046428973 0.005050369 0.0037688545 0.004932171 0.0041514426 0.004359844 0.003177865 0.004106859 0.0038393587 0.0050752526 0.0033499778 0.0031643864 0.0029279904 0.0041472954 0.003438108 0.0037875175 0.003796849 0.0061732493 0.0038134381 0.0034909858 0.0030223415 0.004889661 0.004172179 0.003842469 0.0037242712 0.0047341376 0.0038911998 0.003337536 0.0030928454 0.0043691755 0.0037159766 0.0037242712 0.0035843 0.0055190134 0.0039534094 0.0031021768 0.0028989594 0.0036827982 0.00307833 0.0026905579 0.0028626707 0.0041784 0.0033147258 0.0035283116 0.0033530884 0.00400214 0.0032214117 0.0035055014 0.0034567707 0.0065962733 0.003962741 0.0036268097 0.003225559 0.0041514426 0.003219338 0.003542827 0.003065888 0.004997491 0.0037761123 0.0037056084 0.0035884473 0.0041317428 0.0031270606 0.0035500848 0.003466102 0.0051664934 0.0036236993 0.003654804 0.0033344254 0.003924378 0.0033810826 0.0033624198 0.0035397166 0.0046532652 0.003648583 0.0038092907 0.0035127592 0.0041006384 0.0033883404 0.003696277 0.0037854437 0.0059119696 0.003630957 0.00334272 0.002948727 0.004013545 0.0030513725 0.0032639215 0.003030636 0.0049694967 0.0031674968 0.0032037857 0.003048262 0.0035894841 0.0028408973 0.0030907718 0.0031934173 0.00450811 0.003283621 0.003224522 0.0031363922 0.0038849788 0.0033333886 0.0032846578 0.003624736 0.004625271 0.0032888053 0.003477507 0.0031654232 0.004037392 0.0031996383 0.0034692124 0.0033406464 0.008651258 0.0045993505 0.0040093977 0.003525201 0.0043774704 0.0034391447 0.003024415 0.0033945611 0.0045350674 0.0038238063 0.0029580584 0.0031934173 0.0037232344 0.002796314 0.0028450447 0.002983979 0.0052421815 0.0032048225 0.0034868387 0.0030223415 0.0036589513 0.0031820124 0.0033022838 0.003255627 0.0045464723 0.0028398605 0.0030389307 0.0027061102 0.0035169064 0.00323178 0.0029870896 0.0031477972 0.005002675 0.003401819 0.0032680687 0.0027911298 0.0037761123 0.003019231 0.0030565567 0.0031861595 0.0041358904 0.0029922735 0.0031166924 0.0030098995 0.003642362 0.0028336395 0.0029114012 0.0030347833 0.0046708914 0.0031166924 0.0038507637 0.0028637075 0.0035635636 0.0031509076 0.0029912367 0.0031239502 0.004244757 0.0031446868 0.0033323518 0.0031685336 0.0036465095 0.0031799388 0.0033209468 0.0033593092 0.006720692 0.004062276 0.0037284186 0.0033385728 0.0041120434 0.003261848 0.0033043576 0.003225559 0.0043349606 0.0033282046 0.003119803 0.0030700355 0.003638215 0.0029829422 0.0030710723 0.0027952772 0.004248904 0.0032711793 0.0030855876 0.0029974577 0.0037118294 0.0030150837 0.002936285 0.0029404324 0.0039772564 0.0031115084 0.0027289204 0.0026397535 0.0035303852 0.0029528742 0.003579116 0.0028823703 0.004950834 0.0032400745 0.0033873036 0.0029736108 0.0038134381 0.003072109 0.0031996383 0.0028989594 0.0044417535 0.0054516196 0.0034743967 0.0031363922 0.0037875175 0.0030679617 0.0032442217 0.0031820124 0.004612829 0.0033219836 0.003420482 0.0030503357 0.0037574496 0.003089735 0.003301247 0.003242148 0.0043505128 0.0030295993 0.0031861595 0.0028626707 0.004019766 0.0030969928 0.0042229835 0.004520552 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.004591402 0.0002934882 0.00027167136 0.00027115192 0.00030024102 0.00024102394 0.0003324468 0.00030803276 0.00033192735 0.0003516664 0.00032881068 0.00035218583 0.00052204536 0.00015375664 0.0001844041 0.0007402136 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09925875 0.062004447 0.062459484 0.055321746 0.060610246 0.059565637 0.054964885 0.05445167 0.06047571 0.053156167 0.052093897 0.052938 0.056408953 0.050521005 0.056620367 0.05382989 4021.0 5.7050486 22940.0 0.017088056 0.010462075 0.009372275 0.008631212 0.0133827375 0.012510898 0.011813426 0.011639059 0.0125980815 0.009764603 0.008456844 0.008631212 0.013905841 0.010505667 0.011769834 0.00989538 0.016782911 0.01190061 0.008674804 0.0075414125 0.009808196 0.008456844 0.007846557 0.008326068 0.010244115 0.008413252 0.009546643 0.0088055795 0.011595466 0.00902354 0.009721011 0.0091979075 0.01809067 0.010941586 0.010331299 0.009067131 0.010810811 0.008936356 0.010723627 0.008326068 0.014254577 0.011639059 0.009764603 0.008979947 0.011421098 0.009372275 0.011639059 0.009590236 0.014777681 0.009590236 0.009938971 0.008979947 0.012031387 0.009415868 0.009546643 0.009764603 0.013818657 0.009328684 0.010549259 0.009633827 0.011115954 0.009851787 0.010418483 0.010680035 0.017916303 0.010985179 0.009677419 0.0081517 0.013077593 0.008238884 0.009372275 0.008326068 0.015431561 0.009285091 0.008892763 0.008674804 0.011377507 0.007977332 0.009938971 0.007890148 0.013164777 0.0079337405 0.008674804 0.008718396 0.011508282 0.009415868 0.008238884 0.007846557 0.010941586 0.008936356 0.011944203 0.008631212 0.0113339145 0.009154316 0.009982564 0.008718396 6.5545044 0.0 0.0 0.0 14.0 964484.0 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: 0.17988017 0.012347435 0.0069967993 0.005750728 0.012231745 0.006256869 0.00479147 0.003526117 0.012207643 0.0018269287 0.001855851 0.0019450282 0.007558375 0.0029163372 0.0015593969 0.009999904 0.0072619207 0.0014726298 0.0012026879 0.0013231976 0.004340763 0.0024559898 0.0016196518 0.00093033566 0.0031525365 0.0014461176 0.0008532094 0.0011086902 0.0025234753 0.0011327922 0.0008050055 0.0012002777 0.0045335786 0.0007857239 0.0011906369 0.0012267898 0.0042106127 0.0010267436 0.0007399302 0.00079777493 0.0016292926 0.0007351098 0.0008507992 0.0026319341 0.0018606713 0.002188458 0.0013328384 0.00084356865 0.005519349 0.002728342 0.0025355262 0.008454968 0.0027211113 0.002468041 0.0022270211 0.002224611 0.003834622 0.0031428956 0.0026632666 0.0053626862 0.0037719568 0.0036731388 0.0024029654 0.005246997 0.005998978 0.003798469 0.0031236142 0.0019956424 0.010857933 0.022590768 0.0061243083 0.0021788173 0.0028584925 0.0013738117 0.0015160133 0.00084597885 0.0018245184 0.006623219 0.001744982 0.0010098722 0.009643194 0.0035911922 0.0015208337 0.0032417139 0.0020896401 0.0050831037 0.0049192104 0.00381052 0.0020004627 0.003663498 0.0008098259 0.0018751326 0.0013617608 0.005063822 0.0035695005 0.0029838227 0.001646164 0.0030513082 0.0010918188 0.0019353875 0.004119025 0.004523938 0.004634807 0.0010990495 0.0045335786 0.0026006016 0.0057700095 0.00091105414 0.0025837303 0.0013593506 0.0027693154 0.0026945993 0.0040732315 0.0010966392 0.0047987006 0.004034668 0.011836473 0.011961803 0.0016485741 0.001696778 0.001981181 0.0015087827 0.00079536473 0.00049168 0.001340069 0.0022294314 0.0019040549 0.0016606251 0.003870775 0.0018269287 0.0011231514 0.01339587 0.0033453521 0.010412047 0.00095684786 0.0006170102 0.0023403005 0.011793089 0.001658215 0.037572548 0.0012219694 0.011894317 0.0005109616 0.00045552707 0.0015425255 0.0004241945 0.0003735804 0.0008700808 0.0011834063 0.001205098 0.0007471608 0.00060013885 0.0011593043 0.00066039374 0.00050614116 0.00058808783 0.0010845882 0.00083874824 0.0005109616 0.00094720704 0.0015569867 0.0025258856 0.0005013208 0.0014557585 0.0012243796 0.00075198116 0.00050855137 0.00063629175 0.0013738117 0.00046516783 0.00077849336 0.0006676243 0.0009399765 0.00045070666 0.0004290149 0.0005422941 0.0017184698 0.0004266047 0.00038563137 0.00047962903 0.0011279718 0.0009664886 0.0018992345 0.0011111004 0.0023644024 0.0018968243 0.00083874824 0.0006724447 0.0014726298 0.0013569404 0.0008773114 0.0011496636 0.009804678 0.0038804158 0.0034465804 0.0048035206 0.0036803694 0.0013304283 0.005075873 0.0073703798 0.0036466266 0.0035429883 0.0012123287 0.0008339278 0.02089399 0.0010436149 0.0019884119 0.0012243796 0.0023065577 0.0013930934 0.0013858627 0.00089418277 0.0017473921 0.0005181922 0.0010002314 0.00073028944 0.0025620384 0.0013810424 0.00071341806 0.0013858627 0.00172088 0.0011761757 0.0006941365 0.000848389 0.0028199295 0.00079777493 0.00086044 0.0005567553 0.0022896864 0.0023041475 0.0007206486 0.00053024315 0.016309798 0.0038659545 0.0005447043 0.0050349 0.0058712377 0.0004290149 0.00068690587 0.0010339741 0.0044347607 0.0013111467 0.0010460251 0.0010002314 0.0030802307 0.0006218306 0.0032585852 0.002395735 0.00540848 0.0018004165 0.0014798604 0.0017618533 0.007413763 0.0018076471 0.005639859 0.05074186 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004033155 0.00012932201 8.943766e-05 3.1424042e-05 0.000117235846 6.40567e-05 0.00013415648 6.6473935e-05 3.3841276e-05 9.6689355e-06 2.9006807e-05 3.3841276e-05 5.1970528e-05 3.263266e-05 5.076191e-05 4.3510212e-05 0.004824799 9.548074e-05 0.00018370978 2.5380956e-05 0.00046410892 2.5380956e-05 0.00074450806 0.00031786627 0.000107566906 8.822904e-05 1.5712021e-05 7.251702e-06 2.1755106e-05 2.0546488e-05 1.0877553e-05 0.00047256923 0.031977586 0.0006296894 0.0012436669 0.0005873878 0.004568572 0.0013560682 0.0017440342 0.0012920115 0.00024534925 0.00062606356 0.00033841273 0.00016799776 0.00030698872 0.00034566445 0.00021271658 0.0038627398 0.017801719 0.00047982094 0.00079406134 0.0007880183 0.0020147644 0.000656279 0.0027254312 0.0013331044 0.00022238553 0.00022963723 0.00023809753 0.00018129255 0.0002936939 0.00039280052 0.00019458732 0.0013572768 0.013025265 0.00049553294 0.0007590114 0.00047256923 0.0031061457 0.0011022587 0.0035134496 0.0017645807 0.00019337871 0.0009850229 0.00032632658 0.00016799776 0.00020546488 0.00040246945 0.00013899094 0.0005692586 0.016518168 0.000599474 0.0016400932 0.0011771929 0.00405491 0.0011916963 0.0058581666 0.0036778215 0.00039280052 0.000728796 0.001126431 0.000485864 0.0007034151 0.00038675743 0.00032270074 0.00073967356 0.020139184 0.0024522839 0.0021126624 0.023613958 0.005603148 0.0023580117 0.0047184406 0.0028813428 0.002644454 0.002031685 0.0018129254 0.0024655785 0.0041697286 0.0016763518 0.0026927986 0.0027858622 0.020104134 0.0020111387 0.0016267984 0.003332157 0.005437568 0.0032995243 0.0030868077 0.003436098 0.009797049 0.0011651068 0.001069626 0.0018503926 0.0065168627 0.0011868619 0.0030154993 0.009797049 0.09707974 0.015330098 0.009719698 0.016272819 0.032720886 0.028336024 0.012468092 0.022850113 0.062681295 0.0038518622 0.0055801845 0.007497051 0.04468257 0.00837209 0.024677541 0.05094925 0.04257474 0.009610922 0.0072299466 0.010740979 0.015372399 0.015953744 0.008857953 0.014290687 0.025863195 0.0025151318 0.0033780844 0.0046338374 0.016150748 0.0066618966 0.012521272 0.021466246 0.0032415106 0.0009632677 0.0010454537 0.0019893835 0.0010817122 0.00093788677 0.0013705717 0.0011095103 0.0010055694 0.0009838142 0.0008702042 0.0012074084 0.0008133992 0.0009608505 0.000867787 0.0013536509 1629.0 14.071823 22923.0 0.028617546 0.0013523535 0.0015268507 0.0020503425 0.00972822 0.0016577237 0.002704707 0.0033590717 0.0051912926 0.001701348 0.00091611047 0.0021812154 0.0054530385 0.0027919556 0.013043668 0.005104044 0.024996728 0.017667845 0.015486629 0.012694674 0.0146577675 0.010993325 0.012520176 0.012345679 0.015617502 0.013610784 0.013610784 0.011298696 0.016446363 0.014003403 0.01448327 0.018714828 0.01954369 0.01073158 0.0030973258 0.009335602 0.008332243 0.006063779 0.005147668 0.004406055 0.005540287 0.0059329057 0.0010033591 0.0017449723 0.0070235133 0.0026174583 0.0031845744 0.0026610827 0.013828905 0.0034463203 0.0036208176 0.011080574 0.009248354 0.0037516905 0.009597348 0.009989967 0.006500022 0.0020503425 0.0030100772 0.0019194696 0.0044933036 0.001701348 0.0017449723 0.007765127 0.005409414 0.03202024 0.008593989 0.022510143 0.020721545 0.050516948 0.007241635 0.009379226 0.011429569 0.027875932 0.0053221653 0.004580552 0.024124242 0.011996685 0.028922915 0.031540375 0.014352397 0.0020939668 0.034812197 0.027570562 0.05086594 0.013785281 0.0053221653 0.0059329057 0.0069362647 0.0078523755 0.0018758452 0.0013087292 0.0044496795 0.0009597348 0.0013959778 0.0016577237 6.0287514 1.0 31.0 0.0 4.0 414904.0 434176.0 1.0 0.0 144.0 1.0 1.0 1.0 1.0 0.0 1540933600.0 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 286720.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 85504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -287744.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.643758 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2265887 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8857155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.4995775 0.0 3.1651583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -18548.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 85292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -287098.0 0.0 784.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 372796.0 784.0 409600.0 0.0 0.0 13496.0 401408.0 18548.0 413696.0 112.0 345584.0 0.0 0.0 0.0 0.0 24.0 345788.0 64.0 345696.0 0.0 0.0 600.0 290816.0 0.0 0.0 0.0 0.0


Input: 0.27424577 0.028997237 0.019131478 0.014777706 0.015405654 0.007912143 0.019940833 0.0056375763 0.007409785 0.006530658 0.0120007815 0.006181798 0.011010019 0.004884039 0.0064469315 0.0023722474 0.003725824 0.006209707 0.0075772377 0.005232899 0.0040188665 0.0031816026 0.0067957914 0.006181798 0.0052608075 0.0030978762 0.003028104 0.002288521 0.004744495 0.0044095893 0.0023303842 0.003516508 0.018168624 0.0017303452 0.0012558957 0.0012558957 0.0013396221 0.006935335 0.008121459 0.0010047166 0.007605146 0.0014791661 0.0060980716 0.0030141498 0.0026931986 0.0040886384 0.0067260196 0.0024559738 0.013926488 0.004325863 0.0023722474 0.0016187101 0.0016187101 0.0011861237 0.0011721693 0.0012558957 0.0014512573 0.0013256677 0.0014233484 0.0012000782 0.0009209902 0.0011721693 0.0008372638 0.00078144623 0.0008930814 0.0032792834 0.001828026 0.0029025145 0.00196757 0.0053584883 0.0017163908 0.0015768468 0.0022745668 0.0029025145 0.0024420195 0.0011023973 0.0018698892 0.0013954397 0.001897798 0.0014093941 0.0020931596 0.0017861628 0.0021629315 0.004395635 0.0030839217 0.003656052 0.0030141498 0.0012698502 0.0012698502 0.0012698502 0.0015349836 0.0008233094 0.001158215 0.001088443 0.0006558567 0.0023303842 0.0010047166 0.010465798 0.0036839608 0.0071865143 0.0047165863 0.020792052 0.0023582932 0.0054282607 0.0039909575 0.011484468 0.0008372638 0.001688482 0.007828416 0.0054422147 0.013340403 0.01621501 0.007005107 0.0011303062 0.01237755 0.011219335 0.017666267 0.0047584493 0.0023722474 0.0019815243 0.0018698892 0.0035583712 0.001758254 0.0044514528 0.0008930814 0.003265329 0.0008930814 0.00078144623 0.004786358 0.0027490163 0.00266529 0.00078144623 0.0008233094 0.0006000391 0.0035583712 0.0005581759 0.0006000391 0.00057213026 0.0004884039 0.00068376545 0.0013675309 0.0015628925 0.0011442605 0.00057213026 0.0007116742 0.0010465798 0.0006558567 0.00064190227 0.0006000391 0.00029304234 0.0013814853 0.00039072311 0.0005581759 0.0008233094 0.0008930814 0.0004186319 0.0012140325 0.00075353746 0.0004744495 0.00032095113 0.0012000782 0.00090703584 0.0015489381 0.0007674918 0.0015489381 0.00072562863 0.00064190227 0.00064190227 0.0008651726 0.0006558567 0.00051631266 0.0005442215 0.0005581759 0.00090703584 0.0004325863 0.0004604951 0.00080935506 0.0008372638 0.00085121824 0.00051631266 0.00079540064 0.00062794785 0.0004604951 0.00057213026 0.0004744495 0.0008233094 0.0005581759 0.0007674918 0.00073958305 0.0005581759 0.0005581759 0.00072562863 0.0005023583 0.00085121824 0.0007674918 0.0010047166 0.00062794785 0.00057213026 0.0012838045 0.00075353746 0.00078144623 0.0005023583 0.0005581759 0.0004604951 0.0008651726 0.00051631266 0.0005442215 0.0019536156 0.001828026 0.00068376545 0.0004884039 0.00069771986 0.0006558567 0.0006558567 0.00039072311 0.0004884039 0.0006558567 0.0005581759 0.00036281432 0.0005860847 0.001018671 0.00066981104 0.0010605342 0.0007116742 0.0004744495 0.00072562863 0.00078144623 0.0008372638 0.0004884039 0.0014931204 0.0005581759 0.0005023583 0.0005023583 0.0011442605 0.0004744495 0.0005581759 0.0004744495 0.0005302671 0.00068376545 0.0006000391 0.00061399344 0.00085121824 0.00029304234 0.0004604951 0.0005581759 0.00036281432 0.0032513745 0.0013675309 0.0006558567 0.00061399344 0.00075353746 0.00057213026 0.00051631266 0.0004186319 0.0014931204 0.0101448465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.033949908 0.0016874425 0.0008544922 0.00068933825 0.0007683249 0.0006318934 0.003209731 0.0012996898 0.00019387637 0.00012925093 2.8722427e-05 0.00015079274 0.00015079274 0.00012207031 7.8986675e-05 0.00017233456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.063613 0.0022044461 0.008616728 0.0014361213 0.0031307444 0.002096737 0.03299489 0.016429229 0.0003518497 0.00014361214 0.0001077091 0.00020105699 0.00040211398 0.00022977941 0.00024414062 0.00015079274 0.066104665 0.0068933824 0.008659812 0.002534754 0.0084659355 0.0074534696 0.03337546 0.020672966 0.001551011 0.00057444855 0.0006462546 0.00049546186 0.00068933825 0.0010842716 0.00047392002 0.0020895565 0.09716079 0.01597685 0.017003676 0.004085765 0.0040283203 0.0028219784 0.008925494 0.009069107 0.0043227253 0.0012207031 0.0015079274 0.0011273553 0.0007683249 0.0017951516 0.00084013096 0.0058162916 0.10794606 0.021441292 0.0191794 0.005457261 0.0071231616 0.0051341336 0.0149572035 0.0126809515 0.0040139593 0.0021900851 0.0026783664 0.0024988512 0.0026065602 0.0023121554 0.002225988 0.0081428075 0.047183767 0.013686236 0.0052274815 0.0039565144 0.0036980123 0.0038416246 0.004365809 0.002865062 0.0045309626 0.0019244025 0.0018669578 0.0014145795 0.002649644 0.0014002183 0.0025778378 0.001752068 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03126436 0.010117475 0.014303768 0.017434513 0.0071303425 0.009255802 0.019459443 0.013578527 0.007841222 0.0043945312 0.0055362475 0.0041288487 0.0047032973 0.004035501 0.0040570428 0.004523782 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 627.0 15.259968 9568.0 0.02874164 0.0014632107 0.0006270903 0.0008361204 0.0006270903 0.0015677258 0.0014632107 0.0006270903 0.0018812709 0.0015677258 0.0004180602 0.0011496656 0.002090301 0.006166388 0.019753344 0.012123746 0.028846154 0.014005017 0.008988295 0.0045986623 0.002194816 0.0031354516 0.002194816 0.0011496656 0.002194816 0.0026128762 0.004076087 0.0011496656 0.00094063545 0.0005225752 0.00031354514 0.0004180602 0.0004180602 0.012019231 0.0027173914 0.013168897 0.004180602 0.0068979934 0.0035535118 0.006166388 0.0027173914 0.008047659 0.0005225752 0.0008361204 0.0028219065 0.0028219065 0.0048076925 0.003971572 0.004703177 0.0004180602 0.006270903 0.021425586 0.012019231 0.0017767559 0.0053302674 0.0026128762 0.00010451505 0.0005225752 0.0024038462 0.00073160534 0.0014632107 0.00031354514 0.0004180602 0.0116011705 0.0014632107 0.039820235 0.013795987 0.02853261 0.013482441 0.092809364 0.0053302674 0.02999582 0.011705685 0.05027174 0.00094063545 0.0058528427 0.031981606 0.025815217 0.04922659 0.045150504 0.018917223 0.00094063545 0.049958196 0.041074414 0.080999166 0.016304348 0.008256689 0.0074205687 0.006375418 0.014841137 0.0014632107 0.0004180602 0.00010451505 0.0002090301 0.00031354514 0.0 5.3469405 1.0 36.0 0.0 1.0 71662.0 81920.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1452502400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 11.0 0.0 4.0 0.0 4.0 0.0 55808.0 512.0 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 -55808.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5876303 0.0 3.314472 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 -55572.0 0.0 1100.0 0.0 0.0 0.0 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 87.0 63668.0 1100.0 73728.0 0.0 0.0 13288.0 58368.0 12.0 65536.0 28.0 28724.0 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: 0.2906817 0.007343862 0.0057387077 0.003723846 0.008996722 0.0029942305 0.0028118265 0.0026181978 0.007276513 0.0019334815 0.0039286995 0.004127941 0.0044871364 0.0022197154 0.0020260867 0.0033506197 0.00466954 0.0023375764 0.0019250629 0.0016949533 0.0031485723 0.0031373473 0.0015827047 0.0016893409 0.00283147 0.0016977595 0.0018296515 0.0016163794 0.002660291 0.0016219917 0.0015546426 0.0015434177 0.0057134517 0.0018633262 0.0019419001 0.0014957121 0.0034179688 0.002974587 0.0014985183 0.0013273392 0.0031934716 0.0017174031 0.0019026131 0.0017342403 0.0021411413 0.0015153557 0.002331964 0.001821233 0.003591954 0.0024245689 0.0026378413 0.0034432246 0.0029184627 0.0023235453 0.0020625673 0.002503143 0.0025199803 0.0028483074 0.0026378413 0.0030615795 0.0028090202 0.002200072 0.001953125 0.00225339 0.0051213405 0.0031766344 0.001795977 0.0026546784 0.0031934716 0.006813488 0.0025592672 0.002188847 0.0024329876 0.0021607848 0.0016304104 0.0015827047 0.002752896 0.0030840293 0.0030643858 0.0019334815 0.0063252067 0.0024105378 0.0025059492 0.0034319998 0.002870757 0.0033141389 0.003709815 0.003642466 0.0020906294 0.0020737923 0.0017117906 0.002135529 0.0033113325 0.0025480425 0.0032524022 0.0024750808 0.0020288927 0.0030110676 0.0020878233 0.002817439 0.0038809942 0.007080078 0.002463856 0.0029072377 0.0038585444 0.0036789468 0.004049367 0.0018633262 0.0042009023 0.00214956 0.0033113325 0.0037575206 0.002531205 0.0015686736 0.0043327943 0.0040858476 0.008525278 0.007456111 0.0026097791 0.0023095142 0.0026574847 0.001992412 0.0019783808 0.0021018544 0.0026294226 0.0025115616 0.0019390939 0.0015658675 0.003330976 0.0023768633 0.0015770923 0.0046976022 0.002649066 0.004756533 0.0020625673 0.0015855109 0.0027753457 0.0053851246 0.0017174031 0.010629939 0.0023010955 0.0057499325 0.0013385641 0.002216909 0.004902456 0.001664085 0.0016107669 0.0015546426 0.0039623743 0.0018324578 0.0015911234 0.0013329517 0.0017117906 0.0019952182 0.0015967358 0.001310502 0.0019419001 0.0014003009 0.0014592314 0.0015714798 0.0020148617 0.0018941945 0.0018408764 0.0014620376 0.0021692035 0.0020260867 0.0015602551 0.0013357579 0.0018661324 0.0015602551 0.0018633262 0.0019980245 0.0022365525 0.0014143318 0.0015349991 0.0015546426 0.002017668 0.00136382 0.0014676499 0.0015967358 0.0018408764 0.0022702273 0.0017258216 0.0017286278 0.0021551724 0.0014620376 0.0016612788 0.0017145968 0.0022309402 0.0017314341 0.0018829696 0.0014676499 0.0044534616 0.0019559313 0.0021186916 0.0020008306 0.0026911593 0.0018521013 0.0017679149 0.0023095142 0.0019783808 0.0018661324 0.0014592314 0.0014452003 0.0040577855 0.0013357579 0.0014059133 0.0016191856 0.0019559313 0.001613573 0.0015630613 0.0016612788 0.0018156205 0.0015855109 0.0017510776 0.0017482714 0.0021748159 0.0015013246 0.0014957121 0.0017370465 0.0022786458 0.0017202093 0.0013974946 0.0015378053 0.002910044 0.0017174031 0.0015770923 0.0016556663 0.0022365525 0.0018072019 0.0019419001 0.001389076 0.0051971083 0.0023656385 0.002031699 0.0028062142 0.0040437547 0.001506937 0.0016612788 0.00214956 0.0027023843 0.0018184268 0.0022084904 0.002085017 0.003081223 0.004066204 0.0027977955 0.0028398887 0.0053682877 0.0044366242 0.0036284348 0.004927712 0.0049613863 0.005845344 0.006720883 0.03394677 0.106593065 2.814301e-06 0.0 1.4071505e-06 2.814301e-06 2.814301e-06 2.814301e-06 2.814301e-06 2.814301e-06 7.035753e-06 0.0 0.0 0.0 1.4071505e-06 8.442904e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052500786 4.080737e-05 7.880043e-05 5.7693174e-05 5.3471722e-05 4.643597e-05 6.754323e-05 6.332178e-05 1.4071506e-05 5.628602e-06 7.035753e-06 1.6885808e-05 9.850054e-06 5.628602e-06 1.6885808e-05 2.9550161e-05 0.0050516706 2.9550161e-05 5.6286022e-05 8.8650486e-05 5.7693174e-05 4.643597e-05 4.5028817e-05 6.472893e-05 5.628602e-06 5.628602e-06 9.850054e-06 7.035753e-06 5.628602e-06 9.850054e-06 9.850054e-06 0.00027017292 0.0047730547 1.4071506e-05 1.9700108e-05 7.035753e-05 7.317183e-05 5.3471722e-05 0.0002476585 9.850054e-05 0.0 0.0 2.814301e-06 5.628602e-06 0.0 0.0 5.628602e-06 0.00039963075 0.015859995 0.00021107259 0.00031520173 0.0005895961 0.00030957314 0.00020544398 0.00046435968 0.00053190294 0.00021529404 0.00014634366 0.0001196078 0.00012945785 0.0001364936 0.00013790076 0.00015760087 0.0006430678 0.0042369305 3.2364464e-05 3.6585916e-05 5.065742e-05 0.00022936554 0.00015619371 0.0003757092 0.00017307952 6.754323e-05 3.5178764e-05 2.2514409e-05 3.7993064e-05 5.9100323e-05 2.9550161e-05 5.3471722e-05 0.00016745093 0.0019038747 8.442904e-06 1.1257204e-05 1.6885808e-05 1.6885808e-05 1.1257204e-05 9.850054e-06 1.8292958e-05 1.6885808e-05 0.00010412914 3.5178764e-05 6.332178e-05 6.332178e-05 9.990769e-05 9.0057634e-05 0.0004122951 0.012412475 0.0004122951 0.00028424442 0.00039259502 0.0013987076 0.000364452 0.0010159627 0.00076689705 0.00030816597 0.00017730097 0.00021670118 0.00027580152 0.00028987302 0.0002645443 0.00045450963 0.0011383848 0.037845314 0.0010680273 0.0012790998 0.0013241287 0.003766942 0.0028424442 0.009240758 0.0053471723 0.0014268507 0.0010047056 0.0006177391 0.00070216815 0.0008456975 0.00057833886 0.0009413837 0.0060971836 0.052111007 0.0032012674 0.0032378535 0.0036135628 0.0036740701 0.0029550162 0.005327472 0.0035938625 0.0025173924 0.0028171155 0.0016956164 0.0015464585 0.0024962851 0.0017814527 0.0030535168 0.021651827 0.023233464 0.0013438287 0.0015352013 0.007158175 0.0024217062 0.0019320177 0.003662813 0.0030971384 0.0028354083 0.0020699184 0.0017392382 0.0015211297 0.0019095034 0.0018813603 0.003728949 0.011976259 0.0027326865 0.00021529404 0.00046295254 0.0013241287 0.0008696191 0.0007683042 0.00083725457 0.0007092039 0.0010173699 0.00022373695 0.00014352935 0.0002561014 0.0003447519 0.0001139792 0.00018433672 0.0013241287 0.03777777 0.0051923855 0.0076760063 0.0057158456 0.008828463 0.012140895 0.010777366 0.011766593 0.017158793 0.0031815674 0.0023724558 0.0030211522 0.0060043116 0.0025821214 0.005483666 0.018822046 0.014734274 0.0039667576 0.0018138171 0.0029733093 0.0044226744 0.0062336773 0.002736908 0.0059846113 0.010466386 0.0027537937 0.0011271276 0.0017307953 0.0039048428 0.0012129638 0.0038232282 0.009924633 0.02812894 0.01987741 0.019859117 0.018926175 0.02013914 0.020175725 0.018430859 0.018688368 0.019248413 0.018993719 0.020300962 0.01907252 0.01833658 0.018912103 0.019080961 0.018831896 1909.0 9.36197 17872.0 0.024227843 0.004140555 0.0054274844 0.0020702775 0.0039167413 0.004028648 0.0028536257 0.0026857655 0.0066025066 0.0024619517 0.0041965083 0.0031893465 0.003748881 0.0029095793 0.009679946 0.0034131603 0.009623993 0.009679946 0.011134736 0.009008505 0.008225157 0.0072739483 0.006042972 0.007497762 0.008896598 0.007497762 0.010910922 0.0069382275 0.0064906 0.0070501342 0.0070501342 0.00665846 0.004252462 0.014827663 0.005651298 0.008672784 0.014715756 0.0089525515 0.007833483 0.009959714 0.005259624 0.009959714 0.002629812 0.0050917636 0.007833483 0.009008505 0.012365712 0.0069382275 0.0125335725 0.004644136 0.012421665 0.014827663 0.010407341 0.0055953446 0.015443151 0.011190689 0.00665846 0.0038607877 0.00503581 0.0038048343 0.0077775293 0.003748881 0.0033012533 0.0077215754 0.0022381379 0.02322068 0.009008505 0.02159803 0.022381378 0.07217994 0.0072739483 0.012701432 0.010966876 0.029655326 0.0062108324 0.0073299017 0.027305283 0.013428827 0.025123097 0.028760072 0.012421665 0.0035810205 0.03390779 0.022773053 0.040342435 0.021038497 0.0072739483 0.011246643 0.010015667 0.009623993 0.0029655327 0.011862131 0.00503581 0.0024059983 0.004028648 0.0036369741 6.149115 4.0 0.0 0.0 22.0 356352.0 364544.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 437875200.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 204800.0 4096.0 4096.0 5.0 1.0 0.0 4.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110592.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.852983 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.1223722 0.0 4.7016835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53541.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5172.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 111040.0 0.0 91393.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 153655.0 41948.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.07273548 0.12985517 0.0005619841 0.0025703863 0.0006541126 0.0019991894 0.00030402417 0.0013635023 0.0006541126 0.0012160967 0.0002579599 0.001326651 0.00016583137 0.0012160967 0.00017504422 0.0020636793 0.000442217 0.0009581368 0.00016583137 0.00082915684 0.0002579599 0.0009581368 0.0002579599 0.0007186026 0.00035008843 0.00059883547 0.00020268279 0.0005804098 0.00030402417 0.00050670694 0.00021189563 0.00048828125 0.00050670694 0.0004974941 0.00023032134 0.0004974941 0.0023861292 0.00042379127 0.00026717276 0.000377727 0.0022387234 0.0009673496 0.00038693985 0.00046064268 0.00045142983 0.00042379127 0.00052513264 0.0006633255 0.00050670694 0.0008383697 0.0005159198 0.0006356869 0.00058962265 0.0006541126 0.0005435584 0.00042379127 0.0006541126 0.0008567954 0.00050670694 0.00060804834 0.00092128536 0.0032705632 0.000884434 0.0010318396 0.00090285967 0.0010134139 0.00091207254 0.001004201 0.0017596551 0.00093049824 0.0007370283 0.001004201 0.0011884582 0.0009673496 0.00084758253 0.0010318396 0.0014832695 0.0010871168 0.0023769164 0.0014003537 0.001326651 0.0012990123 0.0009397111 0.0009949883 0.0011147553 0.0009581368 0.000884434 0.0009949883 0.00091207254 0.0009673496 0.0007370283 0.0007186026 0.00079230545 0.00050670694 0.00039615273 0.0006172612 0.0006541126 0.00059883547 0.00048828125 0.0007186026 0.0006448998 0.00057119696 0.0009949883 0.00048828125 0.0005527712 0.00057119696 0.000442217 0.00036851416 0.00074624113 0.0004974941 0.00041457842 0.00048828125 0.00038693985 0.00045142983 0.00059883547 0.00069096405 0.00074624113 0.00050670694 0.00046985556 0.00062647404 0.00046985556 0.00040536557 0.00036851416 0.000442217 0.0005527712 0.0003408756 0.00036851416 0.00048828125 0.0006448998 0.0006633255 0.00040536557 0.0006817512 0.0030586675 0.0007370283 0.0007738797 0.003215286 0.0008752211 0.004707768 0.0018149322 0.002266362 0.0013542895 0.0018057193 0.0012253096 0.0015661852 0.0012253096 0.0013174381 0.0012253096 0.0010410525 0.0010594781 0.001004201 0.0010226268 0.0011055424 0.0008660083 0.0008567954 0.000884434 0.0010779039 0.0009397111 0.00084758253 0.00079230545 0.0009765625 0.00081073114 0.000884434 0.00072781544 0.0008567954 0.0007186026 0.000884434 0.0006725383 0.00094892393 0.0008383697 0.0008752211 0.0006448998 0.000755454 0.0015201209 0.00084758253 0.0009581368 0.001068691 0.0011976709 0.0024874706 0.0016583137 0.0017596551 0.0015661852 0.0038693985 0.0018609965 0.0019899765 0.0019070607 0.0044958727 0.0031323703 0.0027454305 0.005030218 0.002524322 0.004670917 0.0026072375 0.002515109 0.0028836231 0.0017320166 0.0013727152 0.001391141 0.0011976709 0.0014279924 0.0024137676 0.0016122494 0.0016859522 0.0015477594 0.0014832695 0.0019439121 0.002091318 0.001888635 0.0037404187 0.0021281692 0.0024966833 0.003335053 0.0037864828 0.002082105 0.0022387234 0.0021926593 0.0039983788 0.002330852 0.002137382 0.0026164504 0.002515109 0.002653302 0.0025795992 0.0024137676 0.002515109 0.002137382 0.0018517836 0.0017043779 0.0018794222 0.0011423939 0.0011147553 0.0010594781 0.0011976709 0.001326651 0.0011239682 0.001004201 0.0010502653 0.0009765625 0.0010410525 0.0009581368 0.0010134139 0.000884434 0.00091207254 0.0005527712 0.0008936468 0.00043300414 0.0006172612 0.0002579599 0.0004974941 0.00045142983 0.0006541126 0.0006356869 0.0023953419 0.03832547 0.0034640331 0.00023032134 0.4560547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009091332 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00043247768 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008426339 2.3251489e-05 7.4404765e-05 4.185268e-05 0.00011160714 5.580357e-05 0.000390625 0.00023716518 1.8601191e-05 9.300596e-06 0.000106956846 9.300596e-06 4.650298e-06 4.650298e-06 4.650298e-06 4.650298e-06 0.0062593007 0.00036737352 9.300596e-06 0.0 4.650298e-06 0.0 0.0 0.0 9.300596e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0028738838 0.03342634 0.00085565477 0.00125093 0.00064639136 0.00017671131 0.00013485864 0.00011625744 0.00018136161 0.0009719122 0.0006184896 0.0007207961 0.0021763393 0.00055803574 0.00046037947 0.0006510417 0.061816406 0.022088913 0.0009812128 0.0006045387 0.00056733633 0.0002046131 0.00017671131 0.00013485864 0.00011160714 0.0012323288 0.00063709076 0.0006417411 0.0013253348 0.00045107887 0.00036737352 0.00068824406 0.036453683 0.033984374 0.0007765997 0.0007905506 0.0008789062 0.00043712798 0.00031622025 0.00028831846 0.00027436757 0.003157552 0.0022879464 0.0018415179 0.0029203868 0.001688058 0.0019810267 0.0022693453 0.069917224 0.023837425 0.00036737352 0.0005254836 0.001734561 0.0024600076 0.0014973958 0.0006324405 0.00056733633 0.0034923735 0.001985677 0.001688058 0.0058361236 0.0053199404 0.0069103423 0.0031296504 0.08287296 0.043024555 0.0009300595 0.0017066592 0.0047433036 0.0076683406 0.0060360865 0.0021530879 0.0018043155 0.0070359004 0.004668899 0.0039015997 0.019507999 0.012234933 0.022539992 0.007859003 0.1875186 0.016155133 0.0006184896 0.00066499255 0.0014648438 0.0027250743 0.0023390998 0.00109282 0.00086030504 0.00390625 0.0032598586 0.002390253 0.00874721 0.0058686757 0.007142857 0.0024786086 0.06409505 0.0036597843 0.000106956846 0.00023716518 0.00013950893 0.00023716518 0.00031622025 0.00013950893 0.00014415923 0.00036737352 0.0002464658 0.00025576638 0.00028366817 0.0005254836 0.00024181548 0.00011625744 0.0025065104 0.004031808 0.00023251488 0.0008370536 0.00018136161 0.0005766369 0.00033947174 0.00032552084 0.00029761906 0.00090215774 0.000106956846 7.905506e-05 0.00013950893 0.0005859375 0.00011160714 0.00025576638 0.00052083336 0.0024786086 0.00022321429 0.0011300223 0.00027901787 0.0007765997 0.0002511161 0.00051153277 0.0004045759 0.0013067336 7.4404765e-05 7.905506e-05 0.0002046131 0.00085565477 0.00013950893 0.0004092262 0.0003999256 0.0045805434 0.00069754466 0.0013625372 0.00087425596 0.001264881 0.00081380206 0.0010788691 0.0009719122 0.0015904017 0.0006510417 0.00069754466 0.0007533482 0.0011904762 0.00065569195 0.0009254092 0.0009393601 0.0024739583 0.0015113468 0.0018973214 0.001827567 0.0018415179 0.0017485119 0.001827567 0.0016927083 0.0018926711 0.0017020089 0.0014415922 0.0018182663 0.0017764136 0.001734561 0.0018043155 0.0015811012 55.0 7.8 429.0 0.018648019 0.0046620048 0.0046620048 0.0093240095 0.051282052 0.0046620048 0.0023310024 0.0046620048 0.0023310024 0.030303031 0.006993007 0.0093240095 0.0 0.0023310024 0.018648019 0.0046620048 0.0 0.0023310024 0.011655011 0.006993007 0.0046620048 0.0046620048 0.0023310024 0.0023310024 0.006993007 0.013986014 0.0023310024 0.0023310024 0.0 0.0023310024 0.0023310024 0.0023310024 0.006993007 0.016317016 0.0 0.0 0.039627038 0.0093240095 0.0046620048 0.0046620048 0.016317016 0.0023310024 0.0 0.011655011 0.018648019 0.0023310024 0.0046620048 0.0046620048 0.016317016 0.0046620048 0.0046620048 0.0093240095 0.0046620048 0.0 0.006993007 0.0023310024 0.0046620048 0.0093240095 0.0 0.006993007 0.011655011 0.006993007 0.0023310024 0.013986014 0.0093240095 0.023310022 0.006993007 0.023310022 0.023310022 0.037296038 0.0093240095 0.0023310024 0.013986014 0.023310022 0.0046620048 0.006993007 0.05827506 0.006993007 0.011655011 0.025641026 0.011655011 0.0023310024 0.051282052 0.034965035 0.05827506 0.018648019 0.011655011 0.013986014 0.006993007 0.0023310024 0.0023310024 0.0 0.0046620048 0.0023310024 0.0 0.0023310024 5.7879815 0.0 0.0 0.0 1.0 108544.0 241664.0 0.0 0.0 5.0 0.0 1.0 0.0 0.0 0.0 1455607400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 67.0 1.0 0.0 3.0 10.0 8192.0 4096.0 0.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.443371 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8104975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 239308.0 100044.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0