Input: 0.3860144 0.012842402 0.013263059 0.020117288 0.01091233 0.014277584 0.0015094153 0.0013362037 0.0035384654 0.00086605793 0.0012867147 0.0019548165 0.0032662756 0.0016331378 0.00084131345 0.001930072 0.0026971519 0.0005443793 0.00034642318 0.0011382475 0.003711677 0.0012619701 0.00049489026 0.0006186128 0.0014599263 9.897805e-05 0.00012372257 0.00049489026 0.0015836488 0.00071759085 0.0017073714 0.00032167867 0.006903719 0.00029693416 0.0001979561 4.9489026e-05 0.021230793 0.0021775172 0.0007918244 0.00024744513 0.0024002178 0.00034642318 0.00014846708 0.00034642318 0.00049489026 0.0008908025 0.016752034 0.00014846708 0.003043575 0.0007423354 0.0011135031 0.00034642318 0.0036621878 0.0029198525 0.0023507287 0.0024744512 0.00086605793 0.00034642318 0.00029693416 0.00022270062 0.0010145251 0.0003959122 9.897805e-05 0.00017321159 0.010689629 0.0012372256 0.0005691238 0.0016826269 0.0057159825 0.004008611 0.00047014575 0.00047014575 0.00071759085 0.0007918244 0.00014846708 0.00022270062 0.0019548165 0.0011629921 0.00044540124 0.00051963475 0.0033652538 0.0001979561 0.00091554696 0.0013609482 0.0020537947 0.0028703634 0.0005443793 7.423354e-05 0.00071759085 7.423354e-05 0.00014846708 0.00042065672 0.0007423354 0.0005443793 0.00027218965 0.039442755 0.002895108 0.033652537 0.0070769307 0.0069779526 0.019152254 0.020587435 0.0027713855 0.010145251 0.0028456189 0.02637765 0.0009897805 0.0023754733 0.009972039 0.008437878 0.009180214 0.008314156 0.00838839 9.897805e-05 0.0090317475 0.009848316 0.03590429 0.004206567 0.0016331378 0.0024744512 0.004775691 0.0024991957 0.00049489026 7.423354e-05 0.00084131345 0.00071759085 0.00014846708 0.00017321159 0.000965036 0.00044540124 0.00032167867 0.0028456189 0.0005938683 0.0016826269 4.9489026e-05 4.9489026e-05 0.00086605793 0.008314156 4.9489026e-05 0.0047262018 0.0007423354 0.0022270062 0.0001979561 9.897805e-05 0.008066711 9.897805e-05 4.9489026e-05 0.00024744513 0.0011877366 7.423354e-05 0.00012372257 9.897805e-05 0.00091554696 4.9489026e-05 0.0001979561 7.423354e-05 0.00064335734 0.00012372257 7.423354e-05 2.4744513e-05 0.00071759085 0.0007423354 0.00022270062 0.00022270062 0.0010145251 7.423354e-05 4.9489026e-05 7.423354e-05 0.0008908025 7.423354e-05 0.00022270062 0.00012372257 0.00069284637 7.423354e-05 2.4744513e-05 0.00027218965 0.0005938683 0.00012372257 9.897805e-05 0.00032167867 0.00091554696 7.423354e-05 0.00027218965 7.423354e-05 0.0012867147 0.00017321159 9.897805e-05 0.00012372257 0.0011382475 0.00012372257 0.00014846708 0.00014846708 0.0024249624 0.00029693416 0.00042065672 0.0009897805 0.0009897805 7.423354e-05 0.00014846708 0.00712642 0.0006681018 0.0010887586 0.0003959122 0.00014846708 0.0013609482 7.423354e-05 0.00012372257 9.897805e-05 0.0011135031 0.00014846708 0.00027218965 4.9489026e-05 0.0005691238 0.00017321159 0.00017321159 9.897805e-05 0.0008908025 0.0003711677 0.00012372257 0.00022270062 0.00091554696 0.00029693416 4.9489026e-05 4.9489026e-05 0.0011877366 0.00014846708 0.00014846708 2.4744513e-05 0.00084131345 0.0007918244 2.4744513e-05 0.00014846708 0.0054685376 0.0006186128 0.00017321159 0.00064335734 0.0015341598 0.00024744513 9.897805e-05 7.423354e-05 0.00071759085 9.897805e-05 9.897805e-05 9.897805e-05 0.00044540124 4.9489026e-05 0.0003959122 0.00022270062 0.0013114592 0.00012372257 0.0006186128 0.00032167867 0.0008908025 0.00029693416 0.0005938683 0.008140945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022075452 6.4247535e-05 0.0006296258 0.00033408718 8.9946545e-05 0.00011564556 0.0021073192 0.00050113077 0.00026983963 1.2849507e-05 5.1398027e-05 0.0 0.0 0.0 0.0 6.4247535e-05 0.08562911 0.0035593132 0.0030838817 0.00055252877 0.00087376643 0.001927426 0.0027240955 0.002004523 0.00050113077 0.00060392683 0.00065532484 0.0005139803 0.0003983347 0.00044973273 0.0005910773 0.0011950041 0.038163036 0.00066817435 0.0031095806 0.0008609169 0.00016704359 0.00030838815 0.005152652 0.00286544 0.00010279605 0.00015419407 0.00024414062 0.00015419407 0.00025699014 5.1398027e-05 0.0001927426 0.00017989309 0.1210552 0.0021844162 0.015059622 0.0067845397 0.004060444 0.025904605 0.074604236 0.035104852 0.0003854852 0.00055252877 0.00053967925 0.0003983347 0.0013620477 0.00048828125 0.00047543173 0.0005139803 0.101742394 0.0036878083 0.014173006 0.0061549135 0.002287212 0.0065146997 0.049239308 0.021394428 0.0007452714 0.0005782278 0.00060392683 0.00065532484 0.00055252877 0.00060392683 0.00060392683 0.000989412 0.026714124 0.000989412 0.0018374794 0.0012592516 0.0023257607 0.007170025 0.025146484 0.010086862 0.0004111842 0.00048828125 0.00050113077 0.0004111842 0.00035978618 0.00046258225 0.00034693666 0.00043688322 0.02814042 0.001066509 0.0024799549 0.00071957236 0.0020559211 0.0013620477 0.004227488 0.0021458676 0.0023386101 0.00182463 0.0005653783 0.00035978618 0.0016318873 0.00032123766 0.0015419408 0.001850329 0.009817023 0.0011050575 0.003250925 0.00047543173 0.0033408718 0.00088661595 6.4247535e-05 0.00025699014 0.0023000618 0.0005653783 0.00011564556 0.00023129112 0.0020430714 0.00034693666 0.0012078537 0.00030838815 0.018002158 0.002158717 0.004972759 0.0012849506 0.0054610404 0.0017475329 0.00029553866 0.001015111 0.005602385 0.0013491982 0.00050113077 0.00083521794 0.00390625 0.00084806746 0.0027626439 0.0018888775 0.030479029 0.0023386101 0.0065532485 0.0017732319 0.010202508 0.004086143 0.0023514598 0.0034822163 0.012399774 0.006373355 0.0018888775 0.0023129112 0.0064761513 0.002158717 0.0048828125 0.0075041116 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 12.852539 13161.0 0.00843401 7.598207e-05 7.598207e-05 0.0 0.031000683 0.00030392827 0.0 0.0 0.00083580276 0.0004558924 0.0002279462 0.0 0.00060785655 0.0024314262 0.046501026 0.00015196414 0.0038750854 0.0007598207 0.0031152647 0.00083580276 0.010257579 0.008054099 0.0070663323 0.007142314 0.0009117848 7.598207e-05 0.0004558924 0.0 0.0004558924 0.0 0.00015196414 0.0 0.0029633006 0.0015956234 0.00030392827 0.0028873186 0.0018995517 0.002355444 0.0009117848 0.0012157131 0.0006838386 0.0020515157 0.00037991034 0.0002279462 0.003571157 0.0009877669 0.0009877669 0.001063749 0.0017475876 0.00037991034 0.0025833903 0.0028113364 0.003571157 0.0012157131 0.001139731 0.00015196414 0.0009877669 7.598207e-05 0.00037991034 0.0 0.0005318745 0.0 7.598207e-05 0.12081149 0.0005318745 0.10280374 0.01360079 0.01686802 0.05516298 0.05956994 0.0056986553 0.029253095 0.006306512 0.07940126 0.001139731 0.006686422 0.029557025 0.025529975 0.027885418 0.025226047 0.024086315 7.598207e-05 0.027049616 0.021730872 0.103867486 0.009345794 0.004254996 0.0072182966 0.013296862 0.0072942786 0.0012916952 0.0 0.0004558924 0.0 0.0 0.0 4.7016773 0.0 0.0 0.0 1.0 40413.0 106496.0 0.0 0.0 85.0 0.0 0.0 0.0 1.0 924.0 1286225300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 56.0 4.0 0.0 4.0 0.0 8192.0 1024.0 4096.0 7.0 1.0 0.0 2.0 6.0 0.0 0.0 -685.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0473943 0.0 0.0 0.0 0.0 0.0 -1.2908521 0.0 0.0 0.0 0.0 0.0 4.966088 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3009377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.763067 -4.747658 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 1356.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 284.0 0.0 0.0 -44.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7924.0 -3376.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3376.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.040772207 0.0052696685 0.004081779 0.004363191 0.005153071 0.0038231614 0.00424221 0.003949402 0.0047392827 0.0038529683 0.0037994913 0.0037854647 0.004388614 0.0037784514 0.0036057471 0.005132031 0.00425536 0.0035399967 0.00352334 0.0035303533 0.003975702 0.003661854 0.0035733103 0.0035286 0.003691661 0.0034207695 0.0034777531 0.0034786297 0.0035996104 0.003464603 0.0035575302 0.0034610964 0.0051495642 0.0035242168 0.0034286596 0.00351545 0.003851215 0.0035399967 0.0034155096 0.0034102495 0.0035303533 0.0033401158 0.0033085558 0.003816148 0.0035005466 0.0038818985 0.0035961038 0.0034663565 0.0045744684 0.0039713187 0.0038985552 0.004817306 0.003856475 0.0037495212 0.0037144544 0.0035513935 0.003689031 0.003813518 0.0036758808 0.004034439 0.0036609774 0.0037477678 0.0035452568 0.0037942312 0.003766178 0.005678197 0.0038792684 0.0037679311 0.0036583473 0.0046069054 0.0038494617 0.003675004 0.0037512744 0.0037039341 0.0033681693 0.003451453 0.003664484 0.0041703233 0.0036390605 0.003472493 0.00426325 0.0037828346 0.00351545 0.0037968613 0.0036039937 0.0040659993 0.004039699 0.003882775 0.0036110072 0.003909952 0.0035829537 0.003448823 0.0035776936 0.0038705016 0.003728481 0.0035443802 0.003626787 0.0044561177 0.0036662375 0.003997619 0.0039537856 0.004695449 0.004343904 0.0038792684 0.0039616753 0.004083533 0.004006386 0.003630294 0.0040765195 0.003808258 0.0041168462 0.0042764004 0.0037863413 0.003461973 0.004389491 0.0045472914 0.0054362356 0.0049303966 0.0037407544 0.0038889118 0.0036373073 0.0036899075 0.0035785702 0.0033629092 0.0033620326 0.0035426267 0.0036188972 0.003627664 0.0038468316 0.0036583473 0.0034795066 0.005054884 0.0036837708 0.004738406 0.0033795661 0.0034663565 0.0036180206 0.0044938144 0.0034830132 0.006901153 0.0033830728 0.004464008 0.0033217059 0.0034523297 0.0035689268 0.0033699227 0.003347129 0.0033576493 0.0033795661 0.003475123 0.0033883327 0.0034216463 0.0032778722 0.0035601603 0.003363786 0.0033795661 0.003336609 0.0033576493 0.0032638456 0.0034987933 0.0034847665 0.0034102495 0.0033032957 0.0034532063 0.0034269062 0.003459343 0.0033453759 0.0033602794 0.00352597 0.0033260891 0.0034137561 0.0034444397 0.0034242761 0.0034663565 0.0033839494 0.0033243357 0.0034190163 0.003387456 0.0034681098 0.0034198929 0.0034567132 0.003390086 0.003813518 0.0035145734 0.0035812003 0.003334856 0.0035329834 0.0033567725 0.0033269657 0.0034496996 0.0033786893 0.0035058067 0.004513101 0.003973949 0.003691661 0.003978332 0.0037714378 0.003427783 0.0037495212 0.003739001 0.003731111 0.003925732 0.0034041128 0.0034076194 0.0039353753 0.003411126 0.0034190163 0.0033444993 0.0036127605 0.0035513935 0.0035426267 0.0033997295 0.003459343 0.0033558959 0.003433043 0.0034067428 0.0035987338 0.00349704 0.003395346 0.00350756 0.0034944098 0.0035715569 0.0033374857 0.003358526 0.003869625 0.00350756 0.0034269062 0.0034146328 0.0036075003 0.003603117 0.0035031766 0.0037810812 0.0050092973 0.0036416906 0.003371676 0.0040037557 0.003976579 0.0033558959 0.0034532063 0.0033576493 0.0038783918 0.0034610964 0.0034610964 0.0034821364 0.003625034 0.0033594025 0.0036329238 0.0036504574 0.00431059 0.00351282 0.00352071 0.0036110072 0.0040309327 0.0035031766 0.003818778 0.010298252 0.0053956835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00074339943 1.4051259e-05 1.4051259e-05 1.3612157e-05 9.2211385e-06 1.4051259e-05 1.4490361e-05 9.660241e-06 1.0538444e-05 5.708324e-06 5.708324e-06 7.0256297e-06 7.4647314e-06 1.2733954e-05 9.660241e-06 7.903833e-06 0.0026324156 7.420821e-05 0.000114166476 2.1955093e-05 9.221139e-05 4.1714677e-05 0.00023491948 0.00014534271 3.117623e-05 1.7124972e-05 2.8102519e-05 1.7124972e-05 2.8102519e-05 3.512815e-05 5.9278747e-05 2.4150602e-05 0.0026548097 5.005761e-05 0.00035259878 4.8301205e-05 0.00018705739 8.4307554e-05 0.00068455975 0.0004079256 1.5807665e-05 1.3173055e-06 1.3173055e-06 4.8301204e-06 0.0 4.3910185e-07 8.782037e-07 2.1955093e-06 0.0070076264 0.00014358631 0.0008992806 0.0005752234 0.00039255703 0.00020945158 0.0020422626 0.000926944 3.117623e-05 2.3272398e-05 5.4009528e-05 6.323066e-05 6.498707e-05 4.6983896e-05 5.9278747e-05 5.005761e-05 0.004161368 0.0001189966 0.0007701846 0.0012281679 0.0020290897 0.0012141166 0.0027004764 0.0015228052 5.488773e-05 5.181402e-05 9.3528695e-05 0.00016246768 0.00012865684 2.2833296e-05 3.820186e-05 9.089408e-05 0.005751356 0.00027312135 0.00058532273 0.00040046088 0.0008351717 0.00028717262 0.0013800971 0.0008417582 0.0002595092 0.00013699978 0.00032757 0.0003078104 0.00027795148 0.00017388433 0.0005695151 0.0010815079 0.0017309395 0.00015324654 0.00017651894 0.0014578181 0.0003565507 0.00020945158 0.00054756 0.00038904423 0.00016027217 0.0001194357 0.00017168882 0.000117679294 0.00020637787 0.00016905421 0.00015851576 0.00017081061 0.00317778 0.00048432933 0.00042241596 0.0011548379 0.0006011304 0.00042285508 0.0007622808 0.000702563 0.0012123602 0.00038992244 0.00020506055 0.00037543208 0.0007174924 0.00017564074 0.0006235246 0.002061583 0.009917115 0.0015689109 0.0011460558 0.0017357696 0.0023821276 0.0022688392 0.0012769082 0.002160381 0.0051537384 0.00060025224 0.00051287096 0.0009765625 0.002845819 0.000853614 0.002289038 0.0047796234 0.008231403 0.0018723302 0.0014802123 0.002094955 0.0027500947 0.0030759084 0.0019254616 0.0025573291 0.004928918 0.000556342 0.0006239637 0.00074954686 0.0027777583 0.0015412475 0.0025191272 0.004581589 0.05313659 0.053075995 0.052279465 0.0532512 0.05237343 0.052387044 0.05272647 0.052793216 0.052677292 0.05253678 0.052622404 0.052646995 0.052469596 0.05258508 0.052647874 0.052416466 5283.0 8.5894375 45378.0 0.018026356 0.0060381684 0.007757063 0.007360395 0.0074485433 0.0065009478 0.006412799 0.0068976157 0.0057516857 0.0059279827 0.005707612 0.0073163207 0.006765393 0.00976244 0.008880955 0.00976244 0.015822645 0.013068006 0.015976906 0.011569483 0.010026885 0.012296707 0.010115034 0.009057253 0.009255586 0.011966151 0.009365772 0.008109657 0.008506325 0.0076468773 0.0070959497 0.006809467 0.007206135 0.015822645 0.01174578 0.013839305 0.011944114 0.010621888 0.010710035 0.011327075 0.009784477 0.011260963 0.007801137 0.008660585 0.011172815 0.010776147 0.010247257 0.007999471 0.009960774 0.01059985 0.009586143 0.011150778 0.010555776 0.009696329 0.009740403 0.010423553 0.008550399 0.010930407 0.011040593 0.0058618714 0.0062805763 0.0066992817 0.006170391 0.0074265064 0.007889286 0.016902464 0.014324122 0.016439684 0.015536163 0.021750629 0.009211512 0.013310415 0.011018556 0.015690424 0.009299661 0.007911323 0.014654678 0.014059677 0.014632641 0.01723302 0.012252633 0.007977434 0.016704129 0.01602098 0.02135396 0.013663009 0.011216889 0.0130018955 0.0106879985 0.011238926 0.0072942837 0.0062365024 0.005773723 0.006016131 0.006214465 0.0058839084 6.5036783 0.0 26.0 0.0 20.0 1140679.0 1130496.0 1.0 0.0 99.0 1.0 1.0 1.0 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 -6.5575194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2999015 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4010804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.012216 0.0 7.9823604 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.15137069 0.009477972 0.0074488744 0.0062086596 0.010058256 0.004589174 0.004084744 0.003804084 0.009011469 0.0024121609 0.002799017 0.0024045755 0.0065006977 0.002939347 0.0028066023 0.0058218036 0.006747224 0.0026852358 0.0021125372 0.0021087446 0.003842011 0.003959585 0.001714303 0.0016536198 0.0032655199 0.0020784028 0.0016460343 0.0017067177 0.0024425026 0.0016725833 0.0016081072 0.0020215122 0.010156866 0.0016801687 0.002063232 0.0016536198 0.007418533 0.0019494508 0.001573973 0.0017484374 0.0019646217 0.0014867407 0.0014791553 0.002563869 0.002180806 0.001983585 0.0022870016 0.0015360459 0.004175769 0.002309758 0.0018660113 0.0063376115 0.0019494508 0.002309758 0.0016194854 0.0015019116 0.0025107714 0.0033072396 0.0017294738 0.0055563143 0.002089781 0.0024956004 0.0018394623 0.001907731 0.0050367136 0.0051656654 0.014093695 0.0030607136 0.0041568056 0.010471661 0.0034665333 0.0031517386 0.0028634928 0.0021883913 0.0020442684 0.0017067177 0.002874871 0.005142909 0.0021959767 0.0020290976 0.0073806057 0.0027952243 0.0022111475 0.005180836 0.0027421264 0.0042250743 0.005598034 0.0050063715 0.0021352933 0.0050632623 0.0014222647 0.0022528672 0.0023894047 0.0034361915 0.003402057 0.0031138116 0.00211633 0.005131531 0.0017749864 0.003402057 0.003777535 0.010001365 0.0040923296 0.0028786638 0.004464015 0.0051656654 0.00515808 0.0019456581 0.0044678077 0.002567662 0.004217489 0.0056700953 0.0035499728 0.001482948 0.0059014503 0.0044716 0.013335153 0.01261454 0.0032655199 0.0024121609 0.0022263182 0.0019911707 0.0015550094 0.001380545 0.00304175 0.0042592087 0.0023590631 0.0019494508 0.004012683 0.0030265793 0.0017674009 0.011776351 0.0034399843 0.006819285 0.001573973 0.0014412282 0.0024538806 0.009428667 0.002127708 0.022778992 0.0020328905 0.009424874 0.0012971055 0.0013767523 0.001896353 0.0011226409 0.0015398386 0.0016346562 0.0018091206 0.0014981189 0.0012440075 0.0011947023 0.0016991323 0.0013881304 0.0012553857 0.0012136659 0.0018735967 0.0014601918 0.0012478002 0.0013236543 0.0017825718 0.0023135506 0.001391923 0.001843255 0.0016877541 0.0015512167 0.0012667638 0.0013464106 0.0017522301 0.0011795316 0.0013198616 0.002089781 0.0017560228 0.0012933128 0.0013122762 0.0014526064 0.0020821956 0.0014070938 0.0013084835 0.0012515929 0.0017067177 0.0015057042 0.001714303 0.0020670246 0.0031441532 0.0017294738 0.0014070938 0.0022642454 0.0018204988 0.0016043145 0.0016649979 0.0017825718 0.008021573 0.0033375812 0.0027648825 0.0058483523 0.0034665333 0.0017256811 0.0043123066 0.004399539 0.0030645065 0.0030645065 0.0017825718 0.0015891438 0.0025373201 0.0015284604 0.0019532435 0.0015891438 0.0021315007 0.0019191091 0.0016308635 0.0017825718 0.0020328905 0.0013995084 0.0018622186 0.0016119 0.0025486983 0.0015398386 0.001547424 0.0021845985 0.0020177194 0.0013008981 0.0014070938 0.0014488136 0.0030872626 0.0014488136 0.0014563991 0.0013995084 0.0027383335 0.0013350325 0.0016460343 0.0014412282 0.016509648 0.00419094 0.0014905334 0.0049456884 0.0043350626 0.0014412282 0.0016801687 0.0014791553 0.0055373507 0.0018622186 0.0016649979 0.002177013 0.0027117848 0.0014146793 0.003094848 0.0027535046 0.0046119303 0.0022452818 0.001509497 0.0019380727 0.0052946173 0.0021883913 0.0047143335 0.043460615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033550262 0.00017166138 0.000104904175 3.8146973e-06 8.773804e-05 2.4795532e-05 5.722046e-05 4.7683716e-05 7.6293945e-06 3.8146973e-06 5.722046e-06 1.1444092e-05 3.8146973e-06 7.6293945e-06 3.8146973e-06 9.536743e-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 0.0031585693 6.2942505e-05 1.335144e-05 2.670288e-05 0.00015258789 5.722046e-05 0.0002155304 0.0001335144 2.0980835e-05 2.2888184e-05 7.6293945e-06 1.1444092e-05 3.8146973e-06 7.6293945e-06 5.722046e-06 5.722046e-06 0.008655548 0.00031280518 0.0002708435 0.00011634827 0.0005092621 0.00018692017 0.00028419495 0.00015449524 0.00010108948 0.00014305115 9.727478e-05 6.866455e-05 9.727478e-05 7.8201294e-05 7.6293945e-05 0.00056648254 0.028238297 0.00043296814 0.0018539429 0.00016593933 0.0027275085 0.00041007996 0.0052051544 0.002313614 0.00016021729 0.00041007996 0.00030899048 0.00024414062 0.00018882751 0.00024223328 0.00035858154 0.0036144257 0.019357681 0.00024795532 0.0019836426 0.0012836456 0.0014591217 0.00042152405 0.005004883 0.0027046204 0.00024032593 8.9645386e-05 0.00013923645 0.00049209595 0.00023841858 0.00012588501 0.00022315979 0.0011444092 0.016576767 0.00041770935 0.0023212433 0.0008468628 0.0041160583 0.0020503998 0.008607864 0.004682541 0.00025367737 0.00018882751 0.00023651123 0.00019264221 0.00016212463 0.00020980835 0.000118255615 0.0019874573 0.020845413 0.000875473 0.0030651093 0.0018405914 0.003780365 0.001871109 0.009073257 0.0053043365 0.0007572174 0.00038146973 0.00044250488 0.0005207062 0.00064849854 0.0004234314 0.0003566742 0.0005950928 0.009214401 0.00055122375 0.0013389587 0.00082969666 0.0019721985 0.001203537 0.004142761 0.0030212402 0.00083351135 0.00020217896 0.0002937317 0.00031089783 0.00043296814 0.00023078918 0.00039291382 0.0023727417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022031784 0.0040950775 0.0031757355 0.003479004 0.00838089 0.006875992 0.0037212372 0.0055503845 0.013055801 0.0010375977 0.001127243 0.001871109 0.0060806274 0.0016345978 0.006837845 0.012607574 0.08228874 0.018152237 0.013635635 0.018693924 0.03045082 0.029220581 0.013866425 0.025894165 0.05324936 0.0051879883 0.006679535 0.009094238 0.02674675 0.009738922 0.026239395 0.048830032 0.017053604 0.015939713 0.0158844 0.01609993 0.016195297 0.016130447 0.01654625 0.016054153 0.016317368 0.015731812 0.015979767 0.015665054 0.016582489 0.015714645 0.016174316 0.015743256 1224.0 13.080882 16011.0 0.0539629 0.0018112548 0.0028105679 0.0017487977 0.004059709 0.0045593656 0.0018112548 0.0067453627 0.002873025 0.0016863407 0.0018112548 0.0026231965 0.003060396 0.005246393 0.010118044 0.005183936 0.016113922 0.0075573046 0.0049965647 0.0056211357 0.0034351384 0.0027481106 0.0032477672 0.002185997 0.003122853 0.005059022 0.0033102243 0.0022484541 0.0035600525 0.0032477672 0.0035600525 0.0056835925 0.012928612 0.012553869 0.0037474236 0.014552495 0.0083692465 0.0069327336 0.0066204485 0.008244332 0.0058085066 0.009118731 0.0023733682 0.0026856535 0.007994504 0.005995878 0.0046218224 0.0055586784 0.010992442 0.003060396 0.008244332 0.02698145 0.009993129 0.0066204485 0.017300606 0.01867466 0.002185997 0.0033102243 0.0023109112 0.0023733682 0.0033102243 0.0025607394 0.002873025 0.007245019 0.0048716506 0.0331647 0.007369933 0.028355505 0.017487977 0.074074075 0.007369933 0.012304041 0.011304728 0.040284805 0.0041846232 0.004059709 0.02866779 0.013240897 0.032789957 0.03741178 0.017550435 0.002873025 0.04440697 0.027293736 0.056211356 0.018799575 0.010305415 0.0049965647 0.005995878 0.008806446 0.0028105679 0.0026231965 0.0016238836 0.001998626 0.0023733682 0.0024358253 5.8243446 0.0 15.0 0.0 7.0 263664.0 278528.0 1.0 0.0 226.0 0.0 1.0 1.0 0.0 0.0 1330722800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 128000.0 1024.0 4096.0 4.0 0.0 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 30208.0 0.0 0.0 0.0 0.0 0.0 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 -128000.0 0.0 91648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.945455 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9646509 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6383653 0.0 7.568298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -127721.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -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 1.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 159668.0 22016.0 184320.0 0.0 0.0 5616.0 188416.0 0.0 0.0 28.0 136256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 944.0 135168.0 0.0 0.0 0.0 0.0


Input: 0.27049026 0.0033125118 0.0026184618 0.0025317054 0.00354912 0.0019717333 0.0022083411 0.0020979242 0.0041879616 0.0034465897 0.0022793235 0.0018218815 0.0035412328 0.0021846804 0.002247776 0.002121585 0.003170547 0.002334532 0.0020821502 0.00177456 0.0026736702 0.0024843838 0.0017982207 0.0016562559 0.0024449492 0.002334532 0.0016168213 0.0019717333 0.0025553664 0.0017114645 0.0015379519 0.0018613162 0.0027604266 0.0015537258 0.0017508991 0.0015458389 0.0021373588 0.0036910847 0.0017824469 0.0017666729 0.0020427157 0.0018534292 0.0020190547 0.0019165247 0.0019401856 0.001648369 0.0022083411 0.0018297684 0.002681557 0.0019165247 0.0023029845 0.0027367657 0.0026263488 0.001884977 0.0017824469 0.0020979242 0.0022241152 0.002492271 0.0024134014 0.0027446526 0.0024449492 0.00177456 0.0023266452 0.0022950976 0.008659853 0.0023029845 0.0020506026 0.001987507 0.0020269419 0.007831724 0.0020190547 0.0018455423 0.002350306 0.0019796202 0.0017351252 0.0017351252 0.0018928639 0.007729194 0.0016878037 0.0017982207 0.0044561173 0.0036122154 0.002350306 0.0020742633 0.001987507 0.004692725 0.0018928639 0.0020663764 0.0018218815 0.0023187583 0.0027367657 0.0019401856 0.0017824469 0.0032494164 0.0017824469 0.001987507 0.0021610197 0.0025159316 0.0016325951 0.00177456 0.0027683135 0.0031232254 0.0026657833 0.0015616127 0.002933939 0.0023818538 0.003304625 0.0016010473 0.002342419 0.001869203 0.002232002 0.0020269419 0.002239889 0.0017666729 0.0023108714 0.0018613162 0.0036674237 0.0027209918 0.0018376553 0.0019165247 0.0020663764 0.0017824469 0.0018297684 0.0016562559 0.0021058111 0.0025711402 0.0017508991 0.0017430122 0.0047558206 0.00177456 0.0015616127 0.0037226323 0.0020348288 0.0036989716 0.0015064041 0.0016089344 0.0021767935 0.0051186197 0.0028708435 0.012540223 0.0020584895 0.006230677 0.001758786 0.0016956906 0.0037857278 0.0016247082 0.002003281 0.0017666729 0.0022635497 0.0017193514 0.0016956906 0.0017035775 0.0019007508 0.0016956906 0.0014275349 0.0017193514 0.001884977 0.0016089344 0.00177456 0.0016404821 0.0022793235 0.0016641428 0.0016878037 0.001648369 0.0020427157 0.0018061077 0.0017430122 0.0016247082 0.0020111678 0.0015694996 0.0017193514 0.0017903338 0.001987507 0.0016799167 0.0018376553 0.0016010473 0.00236608 0.0015773866 0.0017982207 0.005489305 0.002216228 0.0014354218 0.0018297684 0.0019322985 0.0022635497 0.0017982207 0.001869203 0.0017430122 0.0022241152 0.0015773866 0.001758786 0.0018297684 0.0029023914 0.0026500095 0.0024291754 0.0033282856 0.0027446526 0.0016720297 0.003911919 0.0034860244 0.0022950976 0.0028629566 0.0015537258 0.0018218815 0.11208909 0.0018218815 0.0017035775 0.0017035775 0.0016562559 0.001987507 0.0017430122 0.0017508991 0.002460723 0.0017903338 0.0016720297 0.0015616127 0.0026105747 0.0018218815 0.0015694996 0.0019638464 0.002579027 0.0017193514 0.0018218815 0.0018534292 0.0023187583 0.0017508991 0.0016878037 0.0016168213 0.0022793235 0.0025080447 0.0019401856 0.0015616127 0.006546154 0.003178434 0.0016562559 0.0023976276 0.0038567102 0.0018139946 0.0018455423 0.0015142912 0.002831409 0.0018061077 0.0018770901 0.0017824469 0.0026026878 0.002232002 0.0024528361 0.0024134014 0.0030680168 0.002216228 0.0019165247 0.0019717333 0.006459398 0.0028708435 0.0027683135 0.020072244 0.11461802 4.002305e-06 0.0 4.002305e-06 1.600922e-05 0.0 8.00461e-06 0.0 0.0 0.00010005763 4.002305e-06 0.0 0.040983606 0.0 0.0 0.0 3.201844e-05 8.00461e-06 4.002305e-06 0.0 4.0023053e-05 2.0011526e-05 4.002305e-06 0.0 2.8016137e-05 2.0011526e-05 2.4013832e-05 1.600922e-05 0.007828509 2.8016137e-05 5.202997e-05 9.205302e-05 0.022024686 0.000116066854 0.00017610143 0.0001520876 9.605533e-05 0.00010405994 0.00020411758 0.00012006916 8.8050714e-05 3.201844e-05 6.003458e-05 8.00461e-06 0.0012767354 1.600922e-05 4.002305e-06 0.00011206455 0.024714235 0.00020011526 0.00025214523 0.00016409451 0.00032418672 0.00019211066 0.0003602075 0.0003562052 0.00012807376 0.00010005763 8.404841e-05 4.8027665e-05 0.0054351306 1.600922e-05 6.803919e-05 0.00034419826 0.0071681286 0.00018810834 0.00022813141 0.00027615906 0.00017610143 0.00018410604 0.00018010374 0.000144083 0.00028016136 0.00010005763 1.600922e-05 1.2006916e-05 0.0069520045 8.00461e-06 7.60438e-05 0.00040423285 0.019143026 0.00044025359 0.00012807376 0.00012807376 0.0012927447 0.00077644724 0.0011766778 0.00063236424 0.00080446334 0.0001480853 0.00016409451 0.000108062246 0.0067959144 0.00016009221 0.00032418672 0.0005643251 0.018534675 0.00050028815 0.00040023052 0.00021212218 0.0011166432 0.00023213371 0.0005162974 0.00062035734 0.00031217982 0.00034019595 0.00032818902 0.0003001729 0.0005483158 0.00010405994 3.201844e-05 0.00049228355 0.017021805 0.00039222592 0.00024814293 0.0017890305 0.0011646708 0.00064837345 0.0002241291 0.00042424435 0.0007004034 0.00024814293 0.00028016136 0.00019611296 0.0072721886 0.00032818902 0.00094854634 0.0009005187 0.014768506 0.00080046104 0.00024013832 0.0021732517 0.0015328829 0.0009965741 0.000288166 0.00027215676 0.0016729636 0.0005323066 0.0005162974 0.00040023052 0.005307057 0.0005883389 0.000812468 0.0018850858 0.008945152 0.0003722144 0.00012006916 0.00020811988 0.0011046362 0.0006843942 0.0023653624 0.0012527215 0.0012607261 0.0003001729 0.00024814293 0.00024013832 0.0047587412 0.00038021902 0.0005723297 0.0017770235 0.0016369428 5.6032273e-05 0.0001480853 0.0002841637 0.00030817752 0.00017610143 0.00010405994 5.6032273e-05 0.00035220286 7.60438e-05 7.20415e-05 5.6032273e-05 0.0035900678 7.60438e-05 0.00077244494 0.00043224898 0.009001184 0.0010726178 0.00062035734 0.0038982453 0.0026295146 0.0024974386 0.0007444288 0.000720415 0.0040543354 0.00063236424 0.0005162974 0.000524302 0.008576941 0.00094054174 0.0019171042 0.0026375193 0.013879995 0.0023133324 0.0014848553 0.001048604 0.005595223 0.0034259735 0.0019171042 0.0014488345 0.008456871 0.00093253714 0.0007044057 0.003053759 0.017630154 0.0009765625 0.0034780034 0.0074242763 0.010790215 0.0018490651 0.0027455816 0.0011966893 0.006603804 0.0027896068 0.0022252817 0.001152664 0.008416848 0.0016489498 0.00094454404 0.003077773 0.00616355 0.0013487769 0.0041303793 0.010490042 0.0032338628 0.0007324219 0.0006003458 0.0005363089 0.0013527792 0.0009885695 0.0008164703 0.0009965741 0.0020091573 0.00032018442 0.0003041752 0.00023613601 0.00088450947 0.00047627435 0.00064437115 0.0022613024 0.02571081 0.024910348 0.024890337 0.024630187 0.026295146 0.026575308 0.025406634 0.025258549 0.026327165 0.02463819 0.02439405 0.025446657 0.026459241 0.02508645 0.024698226 0.029108766 372.0 8.244623 3067.0 0.013694163 0.0042386698 0.008151288 0.0042386698 0.0065210303 0.006194979 0.0068470817 0.006194979 0.0055428757 0.0029344636 0.0052168244 0.0026084122 0.0052168244 0.0052168244 0.010433649 0.0039126184 0.015976524 0.009129442 0.012389958 0.015324421 0.012389958 0.006194979 0.0065210303 0.0048907725 0.0068470817 0.013368112 0.016302576 0.013694163 0.012389958 0.009455494 0.011411803 0.009781545 0.010433649 0.010433649 0.0048907725 0.009455494 0.009455494 0.007825237 0.009455494 0.007499185 0.005868927 0.009455494 0.004564721 0.0052168244 0.012716009 0.015976524 0.005868927 0.0068470817 0.01728073 0.005868927 0.0068470817 0.010433649 0.010433649 0.0055428757 0.006194979 0.009455494 0.005868927 0.0039126184 0.005868927 0.0052168244 0.0071731335 0.0065210303 0.0065210303 0.015976524 0.010433649 0.02380176 0.009129442 0.015650474 0.018584937 0.044016954 0.011737854 0.010107597 0.010107597 0.027062276 0.006194979 0.0068470817 0.025105966 0.0120639065 0.022497555 0.021845452 0.018258885 0.0071731335 0.02804043 0.014020215 0.035213564 0.0146723185 0.0065210303 0.0065210303 0.0107597 0.009129442 0.013042061 0.0029344636 0.007825237 0.0029344636 0.0052168244 0.0042386698 6.3285613 0.0 0.0 0.0 3.0 126792.0 77824.0 0.0 0.0 48.0 1.0 1.0 0.0 0.0 813.0 20133636.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 4.0 0.0 4.0 0.0 16814080.0 4096.0 5120.0 6.0 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 4278161400.0 0.0 256.0 0.0 0.0 -8448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33562624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 266.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6398834 0.0 5.8168 0.0 0.0 -4.136112 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8966653 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.4483303 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28772.0 0.0 2170.0 0.0 0.0 -4131.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11765.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1104.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -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 -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 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 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 61440.0 1360.0 69632.0 0.0 0.0 0.0 0.0 1739.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 258.0 62856.0 0.0 0.0 0.0 0.0


Input: 0.10911525 0.0044414694 0.008355318 0.003071229 0.0033862267 0.0027326061 0.0027168563 0.0031578534 0.0029924794 0.003220853 0.0024333582 0.0027404812 0.0027326061 0.0025121078 0.0026774816 0.003039729 0.0033547268 0.0028349806 0.0027956057 0.003031854 0.003197228 0.0031342285 0.0030082294 0.0031657282 0.0031263535 0.0028743553 0.0030239793 0.0032051029 0.0027719808 0.0035201008 0.0029373548 0.0035594755 0.0048903413 0.004921841 0.0042997203 0.0035516005 0.0034728511 0.003338977 0.003346852 0.0028901051 0.0030082294 0.0028979802 0.0025357325 0.008284443 0.0031657282 0.003984723 0.0032523526 0.0032287277 0.00506359 0.0052840887 0.0051187146 0.0054494627 0.006079458 0.0042918455 0.0043075955 0.0041894712 0.0038665985 0.0038744733 0.0038744733 0.004197346 0.004213096 0.0042682206 0.0037878489 0.0041264715 0.0053313384 0.00582746 0.00509509 0.004701343 0.005819585 0.0043312204 0.0045832186 0.0054494627 0.003984723 0.0044020945 0.0041422215 0.004055597 0.0041658464 0.004087097 0.004047722 0.0036618498 0.0040004724 0.003039729 0.0029924794 0.0033941017 0.0033547268 0.00291373 0.0035988502 0.008386818 0.0031342285 0.0028979802 0.00291373 0.0031578534 0.008126944 0.002921605 0.0029373548 0.0031106037 0.0029688545 0.008882939 0.00808757 0.0033074773 0.0035437257 0.00950506 0.0032366028 0.0032523526 0.0032287277 0.003338977 0.008189944 0.0029531047 0.0037248493 0.002606607 0.003031854 0.0037248493 0.0029924794 0.002905855 0.004087097 0.0036854746 0.0035279756 0.0031184785 0.00288223 0.00288223 0.0027483562 0.0026696066 0.0025042328 0.002488483 0.0025357325 0.0084340675 0.003346852 0.0038508484 0.00291373 0.0031184785 0.002764106 0.003063354 0.002756231 0.0032366028 0.0076544476 0.0027719808 0.0029846046 0.002764106 0.0026617318 0.0038508484 0.0023152342 0.0029846046 0.0024412333 0.0025987322 0.0025199826 0.0025121078 0.0026932315 0.0025199826 0.0026223569 0.0027011065 0.0025829822 0.0027483562 0.0023861085 0.0026696066 0.002638107 0.0026223569 0.0023939835 0.0025121078 0.007756822 0.0025357325 0.0077410717 0.002456983 0.0024254834 0.002606607 0.002488483 0.002189235 0.0022443596 0.0021104855 0.0024176084 0.0026617318 0.0027168563 0.0075363233 0.0026223569 0.0022758592 0.0024176084 0.003047604 0.003047604 0.002456983 0.0027326061 0.0026853567 0.0025357325 0.002638107 0.0076465723 0.0025829822 0.0025514825 0.0025436075 0.0022837343 0.00805607 0.0029294798 0.002480608 0.0029688545 0.0025121078 0.002921605 0.002614482 0.0029531047 0.007559948 0.002630232 0.002449108 0.0025121078 0.002449108 0.0026223569 0.0025672324 0.0023703587 0.0025751074 0.0028743553 0.0022679844 0.0022916093 0.0025908572 0.0028586052 0.002488483 0.0032051029 0.0025199826 0.0026459817 0.0023624836 0.0025278577 0.0071740756 0.0026223569 0.0028507304 0.0023782337 0.0026774816 0.0028349806 0.008276568 0.0034256014 0.0028428554 0.0030003544 0.0025199826 0.002905855 0.0024963578 0.0028428554 0.0028034807 0.0026932315 0.002488483 0.003338977 0.0027719808 0.0039059732 0.0027168563 0.0030082294 0.0027404812 0.0025829822 0.002638107 0.002606607 0.007827696 0.002756231 0.0024333582 0.0028586052 0.0025751074 0.0026617318 0.00288223 0.003039729 0.002449108 0.0024333582 0.002638107 0.0027011065 0.002449108 0.0025593573 0.005087215 0.024390243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0075743143 4.3667427e-05 2.3818597e-05 3.5727895e-05 2.3818597e-05 4.3667427e-05 3.5727895e-05 3.969766e-05 3.5727895e-05 3.5727895e-05 1.984883e-05 6.351626e-05 3.175813e-05 5.1606963e-05 3.969766e-05 3.175813e-05 0.007149549 4.7637193e-05 3.175813e-05 0.00039300686 2.7788365e-05 3.175813e-05 1.1909298e-05 0.00025406503 7.939532e-06 2.7788365e-05 1.984883e-05 4.3667427e-05 7.939532e-06 3.969766e-06 6.351626e-05 7.939532e-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 0.0063397167 2.3818597e-05 1.984883e-05 7.939532e-06 0.00014688136 3.5727895e-05 5.1606963e-05 0.00027391387 0.0005716463 0.0 3.175813e-05 3.5727895e-05 0.00011909299 7.939532e-06 0.000103213926 0.00036124873 0.019765466 0.00021039761 7.939532e-05 0.013505145 0.0139973955 0.00017466971 0.000103213926 0.00013100229 0.000103213926 0.00011909299 0.00011115346 8.7334854e-05 0.00011909299 9.1304624e-05 0.00011512322 6.748603e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008566756 9.924416e-05 0.00026200459 0.005279789 0.0042357408 0.0005200394 0.0019809133 0.0015521786 0.0006470719 3.175813e-05 7.542556e-05 0.00018260925 0.00014291158 2.7788365e-05 0.00033743013 0.0004485836 0.012155424 0.0009527439 0.0018657901 0.0009924415 0.002092067 0.0008971672 0.0011829904 0.0007185277 0.00094877416 0.00018657901 0.00042079523 0.00036124873 0.00034536966 0.0004009464 0.00035727897 0.0005120998 0.0032710873 0.00020245808 0.00043270452 0.0007066184 0.00013894182 0.00017069995 0.0002461255 0.0013378112 0.00019054877 0.00017069995 0.00010718369 0.0002342162 7.145579e-05 3.5727895e-05 0.00065501145 0.00015879064 0.0053433054 0.0008098323 0.0003652185 0.0015561484 0.0021714622 0.00068676955 0.0018816692 0.0012028392 0.00032552084 0.0002699441 0.00025009527 0.00020642785 0.0002937627 0.00032552084 0.00035727897 0.00021436738 0.0073004 0.0012187182 0.002274676 0.002937627 0.0013139927 0.0038347943 0.006712875 0.0037871571 0.0028066246 0.0016276041 0.002937627 0.003175813 0.001937246 0.0031480247 0.0012187182 0.0025485898 0.0090074 0.001937246 0.005962589 0.0029296875 0.0049502985 0.0057998286 0.008824791 0.0037395197 0.0039102198 0.0026398946 0.0047676894 0.0048828125 0.0030249618 0.005482247 0.0015005716 0.0038109757 0.04536649 0.044127923 0.049971417 0.04403265 0.044945695 0.048820186 0.052754223 0.041730184 0.041511845 0.041468177 0.04140466 0.043544367 0.040293127 0.044413745 0.04087271 0.042059675 1807.0 6.3978972 11561.0 0.012109679 0.018856501 0.0051033646 0.0032869128 0.004757374 0.0043248856 0.0037194015 0.004411383 0.0037194015 0.0034599083 0.0027679265 0.04982268 0.0036329038 0.0048438716 0.004065392 0.003805899 0.016261568 0.016521063 0.01738604 0.019115994 0.017213045 0.009341752 0.011936684 0.008995761 0.008736269 0.008736269 0.011158205 0.009168757 0.009255255 0.010206729 0.010466223 0.011504195 0.011244702 0.017472537 0.010206729 0.014012628 0.017040048 0.011071706 0.012282674 0.021797422 0.010639218 0.012888159 0.008649771 0.011677191 0.010812214 0.011071706 0.01245567 0.009687743 0.013061154 0.0039788946 0.0045843786 0.0069198166 0.0039788946 0.0030274198 0.005362858 0.049995676 0.005881844 0.004411383 0.003805899 0.004670876 0.047400743 0.004757374 0.0045843786 0.005016867 0.004065392 0.008822766 0.0049303696 0.007438803 0.008390278 0.017126545 0.005016867 0.005622351 0.005968342 0.010120232 0.046968255 0.0048438716 0.011677191 0.005881844 0.007871292 0.01055272 0.0044978806 0.004670876 0.01245567 0.007957789 0.012282674 0.005016867 0.004065392 0.005016867 0.003805899 0.004670876 0.002681429 0.0024219358 0.0034599083 0.046968255 0.004065392 0.0075253006 6.1370983 0.0 0.0 0.0 4.0 126985.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.056653906 0.008297329 0.0061671017 0.0056588696 0.0057561686 0.0049550044 0.004207665 0.005424938 0.0050481632 0.005629887 0.003753258 0.004469544 0.0049591446 0.003169464 0.0043184203 0.0046444754 0.0050347066 0.0037708546 0.0049332674 0.004163156 0.0043515433 0.0031808498 0.0041051907 0.0038484868 0.0050605843 0.0033516407 0.003159113 0.002933462 0.004161086 0.0034354834 0.003785346 0.0037925916 0.0061671017 0.0038205392 0.003484133 0.003029726 0.0049001444 0.0041579804 0.003839171 0.00372117 0.004720038 0.003894031 0.0033350792 0.0030980422 0.004372245 0.003722205 0.00372117 0.003582467 0.005510851 0.003945786 0.003106323 0.0029075847 0.0036808013 0.0030711298 0.0026933197 0.0028713562 0.0041704015 0.0033174825 0.0035213965 0.003353711 0.0039975406 0.0032191484 0.0035100104 0.0034572205 0.006600807 0.003948891 0.0036207656 0.0032170783 0.004164191 0.0032212187 0.0035472738 0.0030576736 0.0049984786 0.0037718897 0.003698398 0.0035866075 0.0041289977 0.00312806 0.0035638355 0.0034665363 0.005166164 0.0036269762 0.0036538888 0.0033361143 0.003935435 0.0033775182 0.003364062 0.003537958 0.0046548266 0.0036435379 0.0038101883 0.0035089753 0.004117612 0.0033889043 0.003689082 0.0037915565 0.0059124683 0.003623871 0.0033371493 0.002957269 0.0039965054 0.0030566384 0.0032709031 0.003030761 0.0049767415 0.0031673936 0.0031963764 0.003054568 0.0035783267 0.0028351278 0.0030835508 0.0031974115 0.0045057726 0.0032853945 0.0032253591 0.003149797 0.0038919607 0.0033350792 0.0032853945 0.0036290465 0.0046196333 0.003289535 0.0034789576 0.003169464 0.004033769 0.0032015517 0.0034665363 0.003354746 0.008647191 0.004596861 0.004016172 0.0035255367 0.004363965 0.0034344485 0.0030255856 0.0033847638 0.0045368257 0.0038308902 0.0029562342 0.0031880955 0.0037273807 0.0028020048 0.0028537596 0.0029852167 0.005229305 0.0032056922 0.0034986243 0.0030255856 0.0036652747 0.003183955 0.0033154124 0.0032605522 0.0045451066 0.0028392682 0.0030442171 0.0027047058 0.0035182913 0.0032274292 0.002987287 0.0031466917 0.0050140047 0.003410641 0.0032740086 0.0027957943 0.003777065 0.0030059186 0.003054568 0.003181885 0.0041331383 0.002998673 0.003127025 0.003010059 0.0036435379 0.0028403034 0.0029282866 0.003029726 0.0046631075 0.0031125336 0.0038443464 0.0028568648 0.00356073 0.0031456565 0.0029841817 0.0031239197 0.0042573498 0.0031487618 0.0033371493 0.0031901659 0.0036518185 0.003194306 0.0033350792 0.0033423249 0.0067167375 0.0040596463 0.0037242754 0.0033361143 0.0041155415 0.0032553768 0.003299886 0.0032201835 0.004324631 0.003334044 0.0031104633 0.0030825157 0.0036528537 0.0029738308 0.0030773403 0.0028020048 0.004240788 0.0032812543 0.0030939018 0.0030038485 0.0037139242 0.0030224803 0.0029365672 0.0029489885 0.0039758035 0.003105288 0.002728513 0.0026384597 0.0035327824 0.0029458832 0.0035793618 0.0028848124 0.0049539693 0.0032315697 0.0033940796 0.0029800413 0.0038029426 0.003074235 0.0032005168 0.0029169004 0.0044415966 0.0054528858 0.0034748171 0.003139446 0.0037894864 0.0030835508 0.0032481311 0.0031891307 0.004616528 0.0033226581 0.0034282377 0.0030442171 0.0037356613 0.003094937 0.0033185177 0.0032398503 0.0043525784 0.0030286908 0.0031901659 0.0028610053 0.0040099616 0.0030887264 0.004218016 0.0045130183 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09919366 0.062013272 0.062458534 0.055334397 0.06058938 0.059587937 0.054942526 0.054478608 0.060468607 0.05317134 0.052121174 0.05296141 0.056405816 0.050557327 0.056675356 0.05383897 4025.0 5.7038507 22958.0 0.017205331 0.010453872 0.009364927 0.008755118 0.01345936 0.012501089 0.011847722 0.011412144 0.012631763 0.009756948 0.008493771 0.008580887 0.013851381 0.010584545 0.0117170485 0.009974737 0.016682638 0.011891279 0.008711561 0.0075354995 0.009800505 0.008493771 0.007840404 0.008363098 0.0102360835 0.008406656 0.009582716 0.0088857915 0.01149926 0.008972907 0.009669832 0.009190696 0.018032929 0.010845892 0.010410314 0.009016464 0.010845892 0.008842234 0.010628103 0.00831954 0.014199844 0.011629933 0.00971339 0.0089293495 0.011412144 0.009321369 0.0116734905 0.009582716 0.014809652 0.009756948 0.010018295 0.008972907 0.012021953 0.009408485 0.009626274 0.009844063 0.01367715 0.009190696 0.010540988 0.009582716 0.011194355 0.009800505 0.010453872 0.010671661 0.017945815 0.010976566 0.009669832 0.008188867 0.0130673405 0.008232424 0.009452043 0.008363098 0.015419462 0.009277811 0.0088857915 0.008711561 0.011325029 0.008014635 0.009931179 0.00792752 0.013154456 0.007971077 0.008668003 0.008842234 0.011455702 0.009452043 0.008188867 0.008058193 0.01088945 0.008972907 0.011978395 0.008537329 0.011368586 0.008972907 0.010018295 0.008755118 6.5547824 0.0 0.0 0.0 14.0 966094.0 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