Input: 0.36891174 0.017150879 0.02180481 0.0049209595 0.018699646 0.0042419434 0.0113220215 0.0037765503 0.0046463013 0.002494812 0.02394104 0.0022277832 0.001953125 0.0024642944 0.002670288 0.0015716553 0.002029419 0.006996155 0.004310608 0.0035552979 0.0012130737 0.0010757446 0.0037460327 0.0032348633 0.0012588501 0.001625061 0.0019989014 0.0013809204 0.00289917 0.0021896362 0.0010757446 0.0033569336 0.014968872 0.0010681152 0.0011444092 0.0011367798 0.0008468628 0.0011520386 0.0016860962 0.001159668 0.00819397 0.0011672974 0.0022277832 0.0015106201 0.0025558472 0.001449585 0.00340271 0.001159668 0.002494812 0.001914978 0.0014572144 0.0013427734 0.00090026855 0.0012893677 0.00090789795 0.00089263916 0.0009460449 0.001159668 0.00090789795 0.0011444092 0.0010070801 0.0014648438 0.0009536743 0.0008544922 0.0010299683 0.003074646 0.0018157959 0.004219055 0.0029907227 0.001876831 0.0028915405 0.0014266968 0.0018463135 0.0024032593 0.00046539307 0.0011444092 0.0014877319 0.0014572144 0.0018081665 0.0009536743 0.0028533936 0.0012283325 0.0018920898 0.0056533813 0.004219055 0.0022125244 0.0012054443 0.0011978149 0.0009765625 0.0011291504 0.000541687 0.001121521 0.00035095215 0.00038146973 0.00045013428 0.004310608 0.00048065186 0.011985779 0.003768921 0.007446289 0.006538391 0.031967163 0.0028152466 0.004524231 0.0041122437 0.014556885 0.0009841919 0.0020523071 0.011985779 0.0050582886 0.021026611 0.028297424 0.008407593 0.0012359619 0.019851685 0.017211914 0.018836975 0.006034851 0.0034866333 0.0029907227 0.0017242432 0.0031051636 0.0008239746 0.01247406 0.00064849854 0.002960205 0.001411438 0.0004119873 0.0022964478 0.001625061 0.0010757446 0.00093078613 0.00036621094 0.00034332275 0.0012054443 0.0005950928 0.00048828125 0.0007171631 0.00045776367 0.0009994507 0.0010070801 0.0012283325 0.0004348755 0.0005645752 0.00038146973 0.00075531006 0.00045013428 0.00045776367 0.00044250488 0.0005340576 0.0007095337 0.00060272217 0.00036621094 0.00051116943 0.00045013428 0.0004043579 0.00049591064 0.0005950928 0.0008239746 0.00038146973 0.00050354004 0.0008392334 0.0009994507 0.00089263916 0.00033569336 0.00044250488 0.0005569458 0.00032043457 0.00050354004 0.0006866455 0.0004272461 0.00038146973 0.0004348755 0.0007324219 0.0004043579 0.0008239746 0.00039672852 0.0009689331 0.0005264282 0.0010375977 0.00036621094 0.00061798096 0.0008010864 0.00046539307 0.00045013428 0.000541687 0.0004043579 0.00032043457 0.00034332275 0.00050354004 0.00039672852 0.00025177002 0.0008087158 0.00051116943 0.00035858154 0.00049591064 0.0002975464 0.00050354004 0.00065612793 0.0006637573 0.00046539307 0.00091552734 0.00045776367 0.00034332275 0.0004272461 0.0005950928 0.00062561035 0.00061798096 0.000579834 0.0005187988 0.00051116943 0.00036621094 0.0015258789 0.00044250488 0.00035095215 0.0009918213 0.00060272217 0.00076293945 0.0010757446 0.00090789795 0.00064086914 0.0012741089 0.0009841919 0.0013809204 0.0011978149 0.0005187988 0.0006790161 0.0010299683 0.0004348755 0.0010147095 0.00032043457 0.00034332275 0.0005187988 0.0005340576 0.0004043579 0.00038909912 0.00039672852 0.0002822876 0.0004043579 0.0004043579 0.00035095215 0.0005950928 0.0030288696 0.000289917 0.00025177002 0.0006866455 0.00061035156 0.000289917 0.00046539307 0.00036621094 0.00022125244 0.00032043457 0.00030517578 0.00015258789 0.0009994507 0.0011138916 0.07871709 0.0 0.0 7.6894685e-06 0.0 0.0 0.0 0.0 0.0 0.0 7.6894685e-06 0.0 0.0 7.6894685e-06 0.0 0.0 0.0074741635 0.0 8.458416e-05 4.229208e-05 1.1534203e-05 3.8447342e-06 0.0001460999 0.00011149729 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0073895794 4.9981547e-05 8.458416e-05 3.8447342e-06 5.7671015e-05 1.9223671e-05 0.00010765256 6.151575e-05 7.6894685e-06 7.6894685e-06 3.8447342e-06 1.9223671e-05 1.9223671e-05 1.5378937e-05 1.5378937e-05 1.1534203e-05 0.0066783032 3.460261e-05 0.00012687623 8.073942e-05 9.227362e-05 4.9981547e-05 0.0004959707 0.00028451034 7.6894685e-06 0.0 3.8447342e-06 0.0 3.8447342e-06 1.1534203e-05 0.0 3.8447342e-06 0.012937531 0.0005036602 0.00046521286 9.227362e-05 0.00013841044 0.00013841044 0.0006920522 0.00051134964 4.9981547e-05 1.9223671e-05 5.7671015e-05 1.5378937e-05 7.6894685e-06 7.304995e-05 3.0757874e-05 1.5378937e-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 0.046598177 0.00018839198 0.0064053275 0.0015571173 0.012430026 0.011511134 0.078459494 0.03949311 0.00010765256 7.6894685e-06 3.8447342e-06 2.691314e-05 2.3068405e-05 1.5378937e-05 1.1534203e-05 1.1534203e-05 0.08387288 0.0035602238 0.010161633 0.0032449558 0.0061554196 0.005628691 0.038589597 0.02479469 0.0006382259 0.00037293922 0.00026528665 0.00018070251 0.0010534571 0.0012687623 0.00075741264 0.0005574865 0.17086768 0.024787001 0.015471211 0.00520577 0.0048674336 0.005194236 0.019884966 0.024921568 0.0062438482 0.0040331264 0.0040177475 0.003717858 0.0030181163 0.00651298 0.004655973 0.0036871003 0.033660647 0.0059824064 0.0034794845 0.0017993356 0.0013187438 0.002229946 0.0032065085 0.0025336798 0.0029758243 0.0011226624 0.001084215 0.00061131275 0.0009150467 0.00085737574 0.00062284694 0.0005920891 0.008915938 0.0011072835 0.0017685777 0.0013264333 0.0006151575 0.00058824435 0.003952387 0.0023952695 0.0002691314 0.00021146038 0.00039216288 0.00029604454 0.00036140502 0.00081123895 0.00038062868 0.00023068406 0.016082523 0.00246063 0.002445251 0.0028143455 0.0017608883 0.001361036 0.002602885 0.0016686147 0.0012956754 0.00075741264 0.001418707 0.001272607 0.00085737574 0.0011380414 0.0008150837 0.0006190022 0.0074549397 0.0012380044 0.002229946 0.0015032911 0.0013956386 0.0013110543 0.006363035 0.0030258058 0.0009919414 0.00054595224 0.00074972317 0.0008266179 0.0009188915 0.0007266548 0.0004690576 0.0017455093 0.007497232 0.0018916093 0.001995417 0.0016955278 0.0016763041 0.0014802227 0.0033256952 0.0020031065 0.0013841044 0.0009381152 0.0010534571 0.001114973 0.0011918676 0.0011957124 0.0008266179 0.0022261012 0.0011418861 0.00042292077 0.00038062868 0.0004152313 0.0005574865 0.00042292077 0.00090735726 0.000549797 0.0004690576 0.0004036971 0.00029604454 0.0003575603 0.00042292077 0.0003690945 0.00034218136 0.0004152313 1321.0 17.889477 23632.0 0.020861544 0.00029620854 0.0013964117 0.0009732566 0.0018618822 0.00025389303 0.00021157753 0.00055010157 0.00063473254 0.00016926201 0.00071936357 0.0025812457 0.0027928234 0.00050778606 0.008590047 0.00050778606 0.003512187 0.0024542992 0.0014387271 0.0020311442 0.0013964117 0.0026658769 0.0008463101 0.0009309411 0.0005924171 0.00046547054 0.0005924171 0.0025812457 0.0019465132 0.0031736628 0.0021580907 0.00033852403 0.00021157753 0.007786053 0.0060934327 0.015233582 0.009986459 0.0044008126 0.00799763 0.0055010156 0.0064742723 0.008336155 0.00021157753 0.0022427216 0.004443128 0.0042315503 0.00376608 0.0016503046 0.00799763 0.0016503046 0.005797224 0.0188304 0.011848342 0.0057549085 0.0041469196 0.0025389302 0.00021157753 0.00042315506 0.00025389303 0.0029620854 0.00021157753 0.00016926201 0.00012694651 0.019253554 0.00029620854 0.045277588 0.012356128 0.024162153 0.023569737 0.11602911 0.007024374 0.016714625 0.011002031 0.048874408 0.0014387271 0.0072359513 0.041257616 0.018576507 0.08183818 0.052259646 0.0117637105 0.0016079892 0.052386593 0.049847662 0.07159784 0.022342587 0.00969025 0.009774881 0.0047393367 0.011425186 0.0017349357 0.0013117807 0.00016926201 0.00016926201 0.0024119837 0.00033852403 5.161787 0.0 0.0 0.0 1.0 131072.0 139264.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1539887700.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 6.0 0.0 114688.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6754255 0.0 5.4970946 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 -111012.0 0.0 4216.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 119116.0 4216.0 122880.0 0.0 0.0 0.0 0.0 12.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.025204763 0.0065059727 0.005995831 0.0056637097 0.0059397584 0.0034313987 0.0041183843 0.0057550725 0.0036905867 0.003070653 0.005484513 0.0027797036 0.0042340583 0.0034212037 0.0041050524 0.004363064 0.002689517 0.0034910003 0.0029910535 0.0027287286 0.004287778 0.0044724643 0.0024789514 0.002382491 0.004877519 0.0048610503 0.0028510685 0.0039117397 0.005518235 0.0044497214 0.0043724747 0.004561082 0.0047700796 0.002757353 0.0030726134 0.0055096084 0.004373651 0.0023330846 0.0026334445 0.0034910003 0.0038913495 0.003960754 0.0052676736 0.00394154 0.0030957481 0.0024464058 0.0029326284 0.0021629066 0.0039395797 0.004251311 0.0043920805 0.0036929394 0.0033968925 0.003398069 0.0035874604 0.0031792687 0.0050782817 0.005208464 0.0035192324 0.0038258664 0.0041321083 0.0051727816 0.003926248 0.004358751 0.0055331355 0.0038258664 0.0030036012 0.0032086773 0.0022762278 0.0033596416 0.0044861883 0.0044944226 0.0046367603 0.003787439 0.0041838675 0.0024483663 0.003282395 0.0029259624 0.0039831046 0.0041046604 0.0044940305 0.0037968499 0.004356006 0.0042783674 0.004670874 0.0055021583 0.004502265 0.0038972313 0.0032592602 0.0033674838 0.0038603726 0.0032224015 0.0037090161 0.0024585612 0.0029036119 0.002698928 0.00402114 0.0031220198 0.0032835712 0.0048116436 0.004131716 0.004254448 0.003207109 0.0035000187 0.0033431728 0.003984673 0.00494261 0.0025526688 0.0035662863 0.0036666677 0.0047434154 0.004410902 0.0046893037 0.0049924087 0.0049763317 0.0054104035 0.0033086666 0.0032878846 0.004083878 0.0038262585 0.003467081 0.0036792154 0.0052884556 0.004581472 0.002924786 0.003787047 0.0036784313 0.0038988 0.00554137 0.004352085 0.0034878633 0.0041364217 0.0021989811 0.0030083065 0.0035670705 0.0026840274 0.0023468086 0.002382491 0.004816741 0.0019284218 0.005569602 0.0034180668 0.0056742965 0.0043720827 0.0042932676 0.0051555284 0.0037607753 0.003408264 0.0033447412 0.0047696875 0.0030541841 0.0026530502 0.0032012272 0.0030455575 0.0040203556 0.0027091228 0.004646563 0.0029965432 0.0049818214 0.0037368564 0.0048410525 0.0032086773 0.0024969885 0.0034176747 0.0039536958 0.0043513007 0.003650983 0.0045379475 0.004546966 0.004504618 0.0046806773 0.0044261944 0.0035741285 0.0046673454 0.003405127 0.0034431622 0.0029910535 0.0033721894 0.003091435 0.0028232282 0.0034451226 0.0041426956 0.003285532 0.004246998 0.0042775827 0.00372274 0.0024569929 0.003920366 0.002897338 0.0036482383 0.00261776 0.0033141563 0.0042771907 0.003978007 0.0023326923 0.0032561233 0.0025495319 0.0034172826 0.0043983543 0.0054872576 0.0048041935 0.0034412015 0.003958009 0.003326704 0.003037323 0.003830572 0.0037043109 0.0045661796 0.0036451013 0.0021025208 0.0040968177 0.0040399614 0.004488933 0.003739209 0.0036799996 0.0030686923 0.0032200487 0.002611094 0.0036290246 0.0042916993 0.004411294 0.0038442959 0.003603537 0.0032239698 0.0042007286 0.0027491185 0.0030106592 0.0054351063 0.004382278 0.0038772335 0.0037098003 0.0049904482 0.0025248288 0.0043305187 0.0033169012 0.0042689564 0.0025726669 0.004578335 0.003878802 0.0038199846 0.0027534317 0.0033451333 0.003943893 0.0040270216 0.0040756436 0.0045018727 0.003080848 0.0039764387 0.0027585293 0.004316402 0.0034106167 0.0035462885 0.004108189 0.0034372804 0.003990947 0.003469826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00034330742 3.8058082e-05 2.2167851e-05 3.7273378e-06 5.1398027e-05 4.119689e-05 0.00046670192 0.00020029536 3.7273378e-06 2.314873e-05 4.5120405e-06 1.9617567e-06 2.3541081e-06 7.847027e-07 1.1770541e-06 7.847027e-07 0.0019031002 7.219265e-05 0.00018420896 7.297735e-05 0.00019499862 0.000111427784 0.0014142304 0.00083982805 4.3158648e-06 2.3541081e-06 3.1388108e-06 4.904392e-06 1.3732297e-06 3.3349863e-06 3.7273378e-06 5.1005677e-06 0.015293071 0.0013608707 0.0014534655 0.00078509504 0.0009579258 0.00035841294 0.0021714685 0.0027309617 0.00018342426 0.00012143274 0.00014183501 9.9853416e-05 7.748939e-05 0.00012947594 0.00010730809 0.00014281589 0.0013787226 0.00025267428 8.533642e-05 4.2766296e-05 6.0029757e-05 3.040723e-05 0.000110446905 0.00010613104 3.5311623e-05 9.455667e-05 7.631234e-05 2.9622526e-05 3.6096324e-05 2.452196e-05 3.0603405e-05 1.7067283e-05 0.00072643853 5.8264173e-05 6.885766e-05 7.709704e-05 4.5120403e-05 6.1010633e-05 0.00019558714 0.00012712184 6.0422106e-05 3.354604e-05 2.9230176e-05 2.3737257e-05 2.3933431e-05 1.2947595e-05 4.5512756e-05 1.8244338e-05 0.00047513747 8.082438e-05 0.00010573869 0.000110054556 5.9637405e-05 7.8666446e-05 0.0003831311 0.00020873091 2.4718134e-05 1.4124648e-05 1.0593486e-05 1.7459635e-05 1.4320824e-05 9.024081e-06 9.4164325e-06 5.4929187e-06 0.00014850499 3.2368986e-05 3.8842783e-05 3.0014879e-05 2.0990798e-05 1.51055265e-05 3.6881025e-05 2.0206095e-05 7.2585e-06 7.2585e-06 8.6317295e-06 6.081446e-06 7.4546756e-06 6.8661484e-06 7.847027e-06 7.4546756e-06 0.00034625008 6.709208e-05 9.416432e-05 8.4159365e-05 8.435554e-05 8.121673e-05 0.0001386962 8.298231e-05 4.492423e-05 2.4718134e-05 4.8651567e-05 2.2560202e-05 2.1579324e-05 2.0990798e-05 1.9813742e-05 2.314873e-05 0.00017969692 6.9053836e-05 5.1986553e-05 5.4733013e-05 6.885766e-05 5.8264173e-05 3.9627485e-05 3.491927e-05 3.766573e-05 2.9622526e-05 4.080454e-05 2.5699013e-05 2.5699013e-05 2.726842e-05 2.6876067e-05 3.2761338e-05 0.072615996 0.05892156 0.05453252 0.06382124 0.05802386 0.06017414 0.056558426 0.061525203 0.059117343 0.059462417 0.063380435 0.05405307 0.060190227 0.057494972 0.061429076 0.058522735 10868.0 6.381487 69354.0 0.012529919 0.00673357 0.0067624073 0.012140612 0.010410358 0.0059116995 0.006387519 0.0067479885 0.007238227 0.008636849 0.0129336445 0.009602907 0.009300113 0.0048447098 0.011376416 0.005161923 0.012299218 0.009458719 0.012948063 0.0084494045 0.006445194 0.010049889 0.009501975 0.009040575 0.010367102 0.01028059 0.008103354 0.009170343 0.008954062 0.016711365 0.008189866 0.01015082 0.01028059 0.008636849 0.007367996 0.0103382645 0.0064307754 0.010064308 0.01322202 0.0124434065 0.008434986 0.008925225 0.007685209 0.0062433314 0.007685209 0.006805664 0.011044784 0.011030366 0.011390835 0.0075842775 0.013957378 0.011116879 0.010958272 0.014115985 0.012313637 0.009285694 0.006993108 0.008694524 0.008593592 0.0067479885 0.009011737 0.0049312226 0.007872653 0.008132191 0.011088041 0.013539233 0.01203968 0.017230442 0.014909018 0.028981745 0.008795455 0.009372206 0.0069354326 0.015774144 0.010828503 0.0076707904 0.01346714 0.011506186 0.01914814 0.01806673 0.016740203 0.009588488 0.0212677 0.01829743 0.018585807 0.012789457 0.0082907975 0.009516394 0.008954062 0.009401044 0.010655478 0.009054993 0.0043977275 0.010222915 0.009285694 0.008420567 6.4969015 1.0 2.0 0.0 23.0 2550272.0 2572288.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2280523800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 2547712.0 512.0 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 -2547712.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9289613 0.0 4.240848 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 -2547228.0 0.0 1516.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 2555332.0 1516.0 2555904.0 0.0 0.0 0.0 0.0 12.0 2564096.0 56.0 2555160.0 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: 0.19759929 0.022163223 0.012737022 0.013053433 0.010798278 0.00484398 0.00499068 0.0010153949 0.009365795 0.0023011782 0.0014209775 0.00167986 0.0009060889 0.0015964424 0.002094072 0.015276947 0.01038982 0.0045074327 0.0009607419 0.0012340068 0.0006011828 0.010568161 0.0005407769 0.00044872976 0.002896608 0.0007622653 0.00041708854 0.00022724134 0.00060693576 0.00052064157 0.00035955908 0.00028764727 0.009423325 0.0004976298 0.0008543124 0.00033654732 0.065756164 0.0011793538 0.00034230025 0.00038544735 0.0062822164 0.00039407678 0.0011879832 0.0006443299 0.00074213 0.00035955908 0.00074213 0.0009808772 0.0068431287 0.0006759711 0.0019013485 0.0013174245 0.0011994891 0.0003480532 0.0004142121 0.00035668263 0.005384757 0.0014554953 0.0004228415 0.00055803574 0.000736377 0.00038832382 0.0003681885 0.0033712261 0.017037349 0.005312845 0.0024478782 0.00065871223 0.021746134 0.003072073 0.00078815356 0.00069898285 0.07009101 0.0012512656 0.00064145343 0.00038257087 0.017365266 0.0010240243 0.0009607419 0.0010153949 0.007826882 0.0013576951 0.000949236 0.002165984 0.005827734 0.0021142075 0.0020250368 0.0006759711 0.0040615797 0.00062419457 0.002045172 0.0002962767 0.0008197947 0.0015849365 0.00045448268 0.0012340068 0.0028045608 0.002841955 0.00095498894 0.0023961018 0.0022378957 0.0055343336 0.0013807069 0.001996272 0.0027959314 0.0044757915 0.00035668263 0.0005177651 0.0026837492 0.0009866301 0.003730785 0.003900497 0.0037279087 0.0005609122 0.00301742 0.0030864552 0.008068506 0.0024363725 0.0011678479 0.000523518 0.0025744431 0.00075651234 0.0011477126 0.00028189432 0.0016165777 0.0006270711 0.0005810475 0.00048037095 0.0031411082 0.000845683 0.000474618 0.01034092 0.011615197 0.0019387426 0.00052927097 0.000371065 0.0019358662 0.014497423 0.00035668263 0.039617658 0.011232626 0.017422795 0.0004343474 0.00041708854 0.0037911911 0.00029340023 0.00038832382 0.0007219947 0.0050913566 0.0003912003 0.0004343474 0.000371065 0.0014698775 0.0005033827 0.00036243556 0.000316412 0.00047174154 0.00030778258 0.00029915318 0.00030202963 0.0020279132 0.00027038844 0.00035955908 0.000316412 0.00069035345 0.00033942377 0.00034230025 0.00029052375 0.0014497422 0.0005148886 0.00055803574 0.00040270618 0.00048900035 0.0003279179 0.00036243556 0.00030778258 0.0018610778 0.00028764727 0.0003681885 0.00033942377 0.00042571797 0.00034517673 0.0011966127 0.000316412 0.0018495719 0.00089170656 0.0005522828 0.00033079437 0.00085143594 0.00025600608 0.0004429768 0.0009607419 0.0067942287 0.001472754 0.0005695416 0.004855486 0.004041444 0.00035092968 0.0009406066 0.0030145436 0.005528581 0.0006213181 0.00040270618 0.00035380616 0.024173876 0.00040558266 0.00038544735 0.00033654732 0.0035179262 0.0007795241 0.0005896769 0.00038832382 0.0004976298 0.00033367085 0.00038544735 0.00038257087 0.0015389129 0.00038832382 0.00039407678 0.000371065 0.00057529454 0.00037681794 0.00035955908 0.0004228415 0.00232419 0.00035668263 0.00038832382 0.00035380616 0.00049187685 0.00032216494 0.000371065 0.00038257087 0.012984398 0.001904225 0.0016223306 0.002603208 0.003972409 0.00045735916 0.00038257087 0.00032504142 0.0017488954 0.00038257087 0.008672565 0.0020279132 0.0004947533 0.0004113356 0.000419965 0.00048900035 0.0019013485 0.00058680045 0.00042859445 0.0004429768 0.00058392395 0.0006443299 0.0011333303 0.032000758 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025064142 7.2230955e-06 5.9229384e-05 0.00014157267 3.178162e-05 1.4446191e-05 1.0112333e-05 1.30015715e-05 8.667715e-06 5.7784764e-06 1.8780049e-05 5.7784764e-06 7.2230955e-06 1.733543e-05 5.7784764e-06 0.00010545719 0.011773646 0.00035537628 0.0003929364 0.00019068972 0.0001589081 0.00016179733 0.00022102673 0.00024125139 0.00023980677 0.00035393168 7.5120195e-05 5.4895525e-05 6.0674003e-05 7.800943e-05 0.00020369129 0.00023113906 0.0066726957 0.00030914848 0.00014012805 0.00017768814 0.00034526395 0.00010401257 0.00011556953 8.8121764e-05 6.211862e-05 4.0449333e-05 6.934172e-05 3.7560098e-05 9.678948e-05 4.478319e-05 0.00010112333 0.00047094582 0.012350049 0.00059518305 0.00024414062 0.00050995057 0.00064430013 0.00044494268 0.00062696467 0.0002947023 0.00019068972 0.00018346662 0.000121348006 0.00013146034 0.00015024039 8.2343286e-05 0.00015312963 0.0010285688 0.032427363 0.001691649 0.0011253583 0.002018133 0.008114425 0.005353758 0.011634962 0.0060616215 0.0005431768 0.00032070544 0.00035826553 0.0003120377 0.00074253423 0.00048683662 0.0010227903 0.004709458 0.012254704 0.0005359537 0.00076709274 0.0018664479 0.0067377035 0.0038773576 0.0075019067 0.0039987057 0.00031348233 0.00019357896 0.00016757581 0.00018780048 0.00039871488 0.0004911705 0.00016902044 0.0019589034 0.025865905 0.00087543915 0.001474956 0.0029889168 0.009834967 0.005274304 0.009379912 0.0071479753 0.0016064164 0.0015905256 0.0012582632 0.0011455829 0.0012987126 0.0015038485 0.0015370747 0.0011816984 0.020077316 0.0022738304 0.0068287146 0.0016540888 0.01107445 0.0015991933 0.0013579419 0.0011730307 0.009129993 0.0008768838 0.0006298539 0.0007714266 0.005999503 0.0007295326 0.001789883 0.0020816962 0.14864841 0.022976667 0.06605521 0.012897559 0.08940892 0.013589532 0.0069962903 0.009481035 0.0858436 0.009590826 0.0046733427 0.0068243807 0.03747631 0.0064372225 0.01979706 0.03326813 0.028555786 0.0058232597 0.013232711 0.0032821745 0.01821809 0.0035494291 0.0015963041 0.0020802515 0.017699473 0.0023879553 0.0013203819 0.0018173308 0.008227105 0.0013998359 0.004573664 0.0075380225 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1128.0 27.785461 31342.0 0.0072107716 0.00022334247 0.00015953035 0.00019143641 0.025684385 0.00015953035 0.0 0.0005104971 0.00076574564 6.3812135e-05 3.1906067e-05 0.00047859104 0.00019143641 0.00015953035 0.0014676792 0.0006062153 0.0064769317 0.003254419 0.0019781762 0.0009890881 0.0019143642 3.1906067e-05 0.0007019335 0.00035096676 0.0021696126 0.0063812137 0.00015953035 0.0007338396 0.0006381214 0.00035096676 0.00044668495 0.03359709 0.10538574 0.04872057 0.011454279 0.0038287283 0.024312424 0.028906899 0.0036372917 0.0034458553 0.020483697 0.004658286 0.00054240314 0.00057430926 0.009284666 0.0025205794 0.0073064896 0.0076893624 0.030119328 0.012698615 0.0076255505 0.019016016 0.0053602196 0.0049135345 0.017899305 0.0012124307 0.013655798 0.0009890881 0.015921129 6.3812135e-05 0.00044668495 3.1906067e-05 0.00015953035 0.0094122905 0.0006062153 0.027120158 0.0018186459 0.022047093 0.01687831 0.05647374 0.0015953034 0.018377896 0.008582733 0.045402337 9.5718206e-05 0.0009571821 0.023099994 0.0062535894 0.037393913 0.03985068 0.013145301 0.0019462702 0.028364494 0.029194053 0.0678323 0.010624721 0.0048178164 0.00054240314 0.0023610492 0.0037968222 0.007561738 0.0 0.00067002745 0.0011805246 0.0008295578 0.00022334247 5.2756324 0.0 0.0 0.0 2.0 347648.0 364544.0 1.0 246.0 280.0 1.0 1.0 0.0 0.0 0.0 1521212200.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 258048.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 70144.0 0.0 0.0 0.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -258048.0 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 -4.7388783 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3567634 0.0 0.0 0.0 0.0 5.608336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9309766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5581775 0.0 4.17358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 70082.0 0.0 0.0 0.0 0.0 14652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -257590.0 0.0 1596.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 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 -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 2.0 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 -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 1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 -2.0 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 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 1.0 0.0 0.0 1.0 0.0 -1.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 -1.0 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 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 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 -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 -3.0 -1.0 1.0 2.0 1.0 -3.0 0.0 -2.0 -2.0 -2.0 3.0 -5.0 0.0 0.0 1.0 1.0 0.0 2.0 1.0 1.0 1.0 1.0 0.0 -1.0 3.0 0.0 -2.0 -2.0 1.0 1.0 1.0 -2.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 -1.0 1.0 -1.0 -1.0 3.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 1.0 2.0 -1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 2.0 1.0 0.0 -2.0 2.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 2.0 1.0 0.0 -1.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 3.0 -2.0 0.0 1.0 1.0 2.0 -1.0 0.0 0.0 1.0 -2.0 -1.0 1.0 -1.0 -1.0 0.0 2.0 4.0 -1.0 -1.0 0.0 0.0 2.0 1.0 1.0 -1.0 0.0 -2.0 3.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 15512.0 301200.0 280.0 316712.0 1596.0 356352.0 14652.0 339968.0 0.0 0.0 288.0 360448.0 56.0 264688.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 274128.0 0.0 0.0 2344.0 262144.0 0.0 0.0 0.0 0.0


Input: 0.2600302 0.015575996 0.0060321847 0.004679338 0.006915399 0.0024398798 0.002471302 0.0024696034 0.0069069066 0.0020577197 0.0020908404 0.0013791732 0.0043031224 0.001902308 0.0012407465 0.0034963402 0.0066427914 0.0027727839 0.001391912 0.0014029521 0.003242416 0.0045315693 0.0007787573 0.0007719634 0.0019133482 0.0008280135 0.0007023253 0.0008866114 0.0017936047 0.0008305613 0.0007286519 0.0008908576 0.009018978 0.00094605854 0.0025069702 0.0007830036 0.003092949 0.00141654 0.00090784254 0.0008721742 0.0016534793 0.0007354459 0.0007991392 0.0015082585 0.0011456311 0.001017395 0.0020848955 0.00085688784 0.0067124297 0.0015719518 0.001621208 0.0051600104 0.0016984893 0.0015277911 0.0010861839 0.002038187 0.0016390422 0.0022165284 0.0011201537 0.0028109998 0.0020093129 0.0016288512 0.0010522141 0.0017129264 0.0065587163 0.0046181926 0.0012619775 0.0020976344 0.059977055 0.006877183 0.003898033 0.00141654 0.002225021 0.002051775 0.00086622953 0.0011201537 0.0024831914 0.0035710738 0.0015201479 0.0011549727 0.008122176 0.0033163002 0.0019906294 0.0039744647 0.0019167451 0.0031354113 0.0039387965 0.0038827464 0.0015184494 0.0025706636 0.0009851238 0.0013486005 0.001534585 0.0018997602 0.004374459 0.0031405066 0.0014471129 0.0043515298 0.0015600624 0.0030080245 0.004634328 0.008571426 0.010013443 0.003307808 0.005179543 0.0045604436 0.004133274 0.0008619833 0.011024894 0.0019422225 0.004887403 0.0051285885 0.0026335076 0.0006148531 0.005686542 0.0040398566 0.010229152 0.007994789 0.0038445306 0.0024101562 0.0018946648 0.0017239666 0.0007991392 0.00065731537 0.0014360726 0.0018793783 0.0011447818 0.0009630434 0.0038564198 0.0012857564 0.0007515815 0.0053901556 0.0018963633 0.006128149 0.0010649528 0.00057748635 0.0014972183 0.0059863254 0.00090444554 0.015913146 0.0013180277 0.007872498 0.00066495856 0.00057748635 0.0019872324 0.0005630492 0.00049935584 0.0011583697 0.00076601864 0.00078555127 0.000478974 0.00040848667 0.0009936162 0.0020916895 0.00057748635 0.0004161299 0.00089170685 0.00065052137 0.0005571045 0.0005350241 0.0014114446 0.0015702533 0.0018207805 0.00077111414 0.0013384096 0.0010233398 0.0011770531 0.0010742944 0.0010658021 0.00049510965 0.0007762096 0.0009358676 0.0010428724 0.001020792 0.0005749386 0.0005053006 0.0011184552 0.0006131546 0.00065391837 0.0005095468 0.0009307721 0.0011668621 0.000788099 0.00081697333 0.001496369 0.0006658078 0.0005511598 0.0008254658 0.00092227967 0.001017395 0.00089510385 0.00084584765 0.0052882466 0.0012840579 0.0016118663 0.0022029406 0.0026827639 0.00068024494 0.009266958 0.002936688 0.0014173893 0.001704434 0.00069977756 0.0006785465 0.046495296 0.0007388428 0.0009834253 0.00085349084 0.0014785349 0.0011014703 0.0006785465 0.00092227967 0.0010420232 0.00054691354 0.0012331032 0.0010598573 0.0016152633 0.00074308907 0.0005953205 0.0011116612 0.0009970132 0.00076516945 0.00052228547 0.0004985066 0.002006765 0.00041188364 0.00053587335 0.0004127329 0.0013494497 0.00045009967 0.00090614404 0.0006131546 0.007300107 0.0013579421 0.000510396 0.0070453337 0.0030037784 0.00048491868 0.0006793957 0.00078555127 0.0023770358 0.00092992285 0.0006089084 0.0010403247 0.0014479621 0.00042717005 0.0015439268 0.0015133539 0.00296811 0.00088746066 0.00065391837 0.0012679222 0.0035549381 0.0016815044 0.0024203472 0.06395831 0.026026921 7.2306457e-06 8.931974e-06 7.2306457e-06 1.3185295e-05 8.506642e-06 3.0198578e-05 1.1483967e-05 2.5519926e-06 1.2759963e-06 8.506642e-07 2.5519926e-06 1.2759963e-06 1.2759963e-06 1.2759963e-06 7.655978e-06 0.005025724 1.4035959e-05 1.6587952e-05 1.9565277e-05 9.357306e-06 9.357306e-06 1.616262e-05 1.4035959e-05 1.2759963e-05 8.08131e-06 1.1909298e-05 1.3610627e-05 1.4461291e-05 1.0633303e-05 2.5519926e-06 2.7646587e-05 0.008821388 4.4234537e-05 6.89038e-05 4.6786532e-05 5.5718505e-05 3.9981216e-05 9.3998395e-05 5.5293174e-05 4.6361198e-05 2.2967934e-05 1.9139945e-05 2.7221255e-05 2.8922583e-05 2.1266605e-05 1.1483967e-05 0.00017821415 0.01228189 8.761841e-05 0.00012079431 8.038777e-05 8.336509e-05 9.4849056e-05 0.00018416879 0.00011951832 0.00014078492 3.7854556e-05 5.231585e-05 6.294915e-05 5.7845165e-05 5.274118e-05 4.1257215e-05 0.00043894272 0.0055093267 5.869583e-05 0.0001722595 7.485845e-05 6.252382e-05 4.7637193e-05 0.00018161681 0.00012292097 3.5727895e-05 1.7438617e-05 1.828928e-05 2.041594e-05 2.3818597e-05 1.9565277e-05 2.2967934e-05 0.00058057834 0.0113555165 0.00016800618 0.00014418758 0.00026583255 0.020620525 0.00013568094 0.0028003866 0.00018374347 0.00011143701 5.274118e-05 0.00011824232 6.677714e-05 0.013634446 7.230646e-05 0.0015843621 0.00095061725 0.011249184 0.0002807192 0.00036450961 0.0003764189 0.02642801 0.00014333692 0.010913171 0.00089617475 0.00018714613 0.0001033557 0.00010250504 6.294915e-05 0.025100123 8.251443e-05 0.0005142265 0.00072178856 0.031021172 0.00040364015 0.0026795922 0.000683934 0.013229105 0.0007672991 0.011442284 0.0056360755 0.0004397934 0.00018374347 0.00024414062 0.00017566216 0.010634579 0.00016885684 0.00017821415 0.0013802027 0.029227972 0.0006239622 0.0028378158 0.00093062664 0.0019331344 0.0013874333 0.0075096637 0.003922838 0.0006039716 0.00021479272 0.00028454716 0.00015949954 0.000455956 0.00018884745 0.0017374817 0.0019884275 0.023416659 0.00064182613 0.0024431075 0.0012011379 0.002812721 0.0019514237 0.0070013916 0.0038930648 0.000700522 0.00064225146 0.0004436214 0.0003143204 0.0010879996 0.0005465518 0.0008838401 0.00254221 0.019176098 0.00083109894 0.00184424 0.0018638052 0.0036055401 0.0030428257 0.0066275247 0.003933046 0.0006039716 0.00083662826 0.00068478467 0.00048657993 0.0010790676 0.00069924595 0.0009786892 0.002487342 0.02230484 0.002065838 0.0031823348 0.0072378763 0.0027748665 0.0033864942 0.005129505 0.0034511446 0.0014661198 0.0016787858 0.0018761399 0.0008251443 0.0018718865 0.0012198525 0.0014520838 0.008021338 0.028222911 0.002919905 0.00322104 0.005354931 0.00523201 0.006293214 0.006708763 0.0046552597 0.003523026 0.0027080895 0.0041584717 0.0029683928 0.004084464 0.002325716 0.0019076144 0.0141482465 0.06342765 0.014457038 0.0070430744 0.010370022 0.016035872 0.020430828 0.009824321 0.013195078 0.032708038 0.004377518 0.0058142897 0.0055399504 0.013833927 0.005886171 0.011336802 0.038367506 0.02567092 0.0068282816 0.0045450986 0.0064437813 0.008164675 0.009276068 0.0053102714 0.0072957217 0.0144770285 0.0019050625 0.0023312452 0.0026183445 0.007227243 0.0031670227 0.0068129697 0.015103968 0.0011785952 0.0006435275 0.0006018449 0.0005869583 0.00074177916 0.0006460795 0.00081663765 0.0005563344 0.0006414008 0.00054527575 0.0004223548 0.00045212804 0.0004836026 0.00044319604 0.0003951335 0.00042703343 8009.0 21.208015 169855.0 0.021206323 0.0007653587 0.007700686 0.00084778195 0.0018898472 0.0015601543 0.0008948809 0.0016896765 0.0013246592 0.0008301198 0.0005828501 0.00068293547 0.0010891643 0.0014953931 0.0066527333 0.0013305467 0.0058285007 0.003332254 0.0036737218 0.0038385682 0.0024255982 0.0017662124 0.0018309734 0.0062994906 0.002201878 0.0022136527 0.0021901033 0.0013482088 0.004321333 0.002184216 0.0016013659 0.0039209914 0.0026964175 0.005216214 0.0021194548 0.005769627 0.39832798 0.006758706 0.012228077 0.0035559742 0.0022254277 0.0039563156 0.00068293547 0.0021665539 0.007812546 0.0031556326 0.002531571 0.0021959906 0.005139678 0.0032910423 0.0036913839 0.0069706514 0.004162374 0.0018015367 0.0045803776 0.005063142 0.0029436874 0.00097141677 0.0008124577 0.0006240617 0.0012481234 0.000518089 0.014300433 0.008012717 0.0007947956 0.01694975 0.005233876 0.009519884 0.020352654 0.033175357 0.047051895 0.013652821 0.0050866916 0.01663772 0.0020546936 0.0013658709 0.062170673 0.006611522 0.014506491 0.016902652 0.0071472726 0.00033558035 0.020128934 0.014471167 0.023649583 0.00634659 0.014983368 0.0035500869 0.004180036 0.005233876 0.0008124577 0.0004827647 0.0005475258 0.0005593006 0.00024726972 0.0002060581 4.343856 3.0 36.0 0.0 22.0 1177517.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 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 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 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 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 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 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0067024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.185378 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.12539029 0.01036897 0.00722044 0.005034555 0.008957724 0.0025250122 0.0024298185 0.0024595666 0.008994612 0.0016420909 0.0021608963 0.0018657959 0.0048239394 0.0015254786 0.0011804015 0.0071954518 0.006388685 0.0011923007 0.0011554132 0.0009281383 0.0027320583 0.0016123428 0.001081638 0.00077106874 0.0021406678 0.00064017746 0.00060328987 0.00079962687 0.0021823149 0.0005354644 0.0006746852 0.0006068597 0.0041325954 0.0006199488 0.0006711154 0.0005592628 0.0045514475 0.0012625061 0.0004735885 0.00058901083 0.0016658893 0.0008472237 0.00048191796 0.0016290017 0.0014243353 0.0005009567 0.00064850686 0.00044503043 0.0030723757 0.0007722587 0.0006151891 0.007265657 0.0009828747 0.00043908082 0.0004735885 0.0004616893 0.0012470371 0.00049262727 0.0014885911 0.0028094032 0.0013481803 0.0009983436 0.00053903414 0.00048667766 0.011447039 0.0017396644 0.003982665 0.007084789 0.0053451248 0.019185094 0.0037089835 0.005447458 0.0036411579 0.0019716988 0.0035602434 0.0020811716 0.0023358148 0.0026273453 0.0014183857 0.001549277 0.008457958 0.002514303 0.002072842 0.006705204 0.0030033602 0.00887443 0.0044169864 0.0030116898 0.0030783254 0.007600025 0.0025618996 0.0045216996 0.001473122 0.0030128798 0.0036280688 0.0020787918 0.0008745919 0.0029248255 0.00090314995 0.002134718 0.0059936317 0.0054700663 0.0036887547 0.0015028701 0.00481442 0.0029997905 0.003581662 0.0006520767 0.002889128 0.0014052966 0.004397948 0.0039660065 0.0020978306 0.0003522166 0.0040255026 0.0031770887 0.012921351 0.0067147235 0.0010340413 0.0010423707 0.0021775553 0.0010768784 0.0007270417 0.00086745236 0.0017503736 0.0020776019 0.0012089596 0.0008519834 0.0061780694 0.0013910176 0.0005140458 0.010108378 0.003792278 0.0058163335 0.0007448905 0.00073775096 0.0017991604 0.011533903 0.00044265058 0.057680227 0.00076035946 0.00841393 0.00036411578 0.0004890575 0.13396606 0.00044622034 0.0007234719 0.000647317 0.0009186189 0.0009245685 0.0003986235 0.00035102665 0.00084603374 0.0003772049 0.00030580966 0.0009900142 0.00065564644 0.00040100334 0.00044503043 0.00048191796 0.00075559976 0.002420299 0.00029986005 0.00078891753 0.0007187122 0.00085079344 0.00034388714 0.00036768557 0.0012922541 0.00031770888 0.00037244524 0.00039505374 0.0008258051 0.00036292587 0.00029867014 0.00043432112 0.002302497 0.0005176156 0.0016635094 0.00060091005 0.00079962687 0.00036054602 0.0021263887 0.0014778818 0.001970509 0.0012958238 0.0020216757 0.0008091462 0.0007912974 0.00043789088 0.00095312664 0.0006961037 0.011167408 0.0010566497 0.0018134394 0.011520814 0.0028153528 0.0005247551 0.0048298887 0.0027534768 0.0014552732 0.0014314748 0.0012458472 0.000677065 0.0008793515 0.00040933277 0.00066873553 0.00060091005 0.0025083532 0.0007246618 0.0022679893 0.0016825482 0.0011827814 0.0004569296 0.0015207189 0.0009614561 0.0044134166 0.0008317547 0.0010804482 0.002693981 0.0015754553 0.0008139059 0.00067349523 0.0012065797 0.0016896877 0.0005235652 0.0007127626 0.00044503043 0.0015849746 0.001036421 0.0007318013 0.00058425113 0.025527373 0.004862017 0.0010578397 0.005746128 0.0039636265 0.00065088674 0.00094836694 0.000767499 0.005036935 0.0006544565 0.0013969671 0.0011090062 0.0039231693 0.0013517501 0.0034341116 0.002315586 0.0074774628 0.0018669859 0.0018741254 0.003263953 0.01128045 0.0027332483 0.0038636732 0.049573295 1.9078145e-05 5.96192e-06 4.769536e-06 1.0731456e-05 9.539072e-06 2.1462913e-05 1.788576e-05 4.769536e-06 2.6232448e-05 0.12920554 1.192384e-06 3.577152e-06 1.9078145e-05 1.192384e-05 2.1462913e-05 4.2925825e-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 3.577152e-05 1.192384e-06 1.3116224e-05 1.788576e-06 1.788576e-06 2.8617216e-05 5.365728e-06 5.96192e-07 3.577152e-06 0.0010946086 0.0 5.96192e-07 3.577152e-06 0.0 4.769536e-06 2.5636256e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002689422 3.4579138e-05 0.0 0.0 0.00013593178 0.00017408807 0.0010659914 0.00022118723 0.0 0.0 0.0 0.0001120841 0.0 0.0 0.0 0.00045072116 0.00071244943 1.49048e-05 3.1598178e-05 1.192384e-05 9.837168e-05 0.00014606705 0.00030525032 0.00014606705 6.379255e-05 0.0007619334 1.3116224e-05 4.769536e-06 3.815629e-05 8.346688e-06 1.9674337e-05 6.558112e-05 0.0029672475 3.815629e-05 3.9348673e-05 7.4524e-05 0.0009026347 0.0002837874 0.0008120135 0.0003207513 6.6177316e-05 2.086672e-05 1.0135264e-05 6.856208e-05 0.00012102698 6.0811584e-05 2.1462913e-05 0.00029749982 0.0115094865 0.0005717481 0.002204718 0.0012424642 0.0045227124 0.0019602794 0.011050419 0.005303724 0.0006200397 0.0006194435 0.00034877233 0.00015381754 0.0003583114 0.00020330148 0.00016574138 0.001900064 0.02236495 0.0014606704 0.00094734906 0.0007458362 0.008765215 0.002061632 0.006467491 0.0040040254 0.0020061862 0.00054670806 0.0005645938 0.0006695236 0.0008650746 0.00077862677 0.0008489774 0.0030691964 0.0135305775 0.0011506506 0.001123822 0.0007434514 0.0058027366 0.0028980894 0.0033237704 0.0024324635 0.0038060897 0.00059082627 0.00054968905 0.00080962875 0.0016961662 0.0007052951 0.0015268477 0.004486941 0.06701496 0.008350861 0.006165818 0.00748996 0.026157327 0.021910056 0.011157733 0.012245188 0.04175073 0.003971831 0.0035628434 0.0071280715 0.014736674 0.0082208915 0.018687638 0.035710707 0.072353266 0.012397217 0.009983235 0.013198499 0.030726543 0.037595868 0.013942546 0.017404633 0.0625 0.006339906 0.0058110836 0.009890229 0.026033916 0.014603723 0.029605702 0.05519605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3334.0 12.790342 42643.0 0.030391859 0.0002814061 0.0002814061 0.0004924607 0.0027437094 0.00021105458 0.00023450507 0.00016415355 0.004479047 0.004197641 0.0006331637 0.0004924607 0.0027906103 0.00046901015 0.00037520812 0.00014070305 0.0011256244 0.00051591115 0.00035175763 0.0008207678 0.0008911193 0.00025795557 0.0006800647 0.00016415355 0.0006566142 0.0002814061 0.012194264 0.0100602675 0.0007738668 0.00023450507 0.00018760406 0.00021105458 0.0020636446 0.00785592 0.010412025 0.01709542 0.016556058 0.011514199 0.008535985 0.003470675 0.005370166 0.010388575 0.0009145698 0.0026499073 0.0056515723 0.009028446 0.006331637 0.013108834 0.0092395 0.004713552 0.006964801 0.022371784 0.020566095 0.0074103605 0.006237835 0.005698473 0.0015946345 0.010669981 0.003095467 0.010013367 0.00046901015 0.008629787 0.010036818 0.009192599 0.0002814061 0.041061837 0.007527613 0.024857538 0.01756443 0.075792044 0.009567807 0.020941304 0.012030111 0.044485614 0.0018525901 0.0045024976 0.02811716 0.014891072 0.07089088 0.061323076 0.013155735 0.00018760406 0.052927796 0.0346364 0.0715944 0.020941304 0.0060267807 0.0049480572 0.0049715075 0.006144033 0.001477382 0.00014070305 0.0006566142 0.00042210915 0.00025795557 0.00018760406 5.3925924 0.0 0.0 0.0 1.0 840392.0 1908736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1533262300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 1613312.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -346112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 -14848.0 215040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2290974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -345828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24988.0 0.0 0.0 -12460.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266904.0 -14400.0 214584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14400.0 1667072.0 214584.0 1691648.0 0.0 0.0 4504.0 3890336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1687552.0 0.0 0.0 0.0 0.0 2188.0 1669760.0 0.0 0.0 0.0 0.0


Input: 0.028435534 0.0047931755 0.0043930346 0.0042170864 0.0045093875 0.0039332984 0.0038282971 0.004061003 0.004869798 0.0037715395 0.0036182941 0.0037204577 0.004194383 0.0038793788 0.003711944 0.0047676344 0.0039730286 0.0037999183 0.0035700502 0.0035530229 0.0037630259 0.004432765 0.003646673 0.0036154562 0.0036807274 0.0034820759 0.0037488365 0.0035445092 0.0037658638 0.0035388335 0.003504779 0.0036835652 0.004307898 0.0037034305 0.0037091062 0.003643835 0.0039247847 0.0035331578 0.0034508593 0.0034253185 0.0035501851 0.0033969397 0.0034253185 0.0034934275 0.0035672123 0.003575726 0.0035899153 0.003802756 0.0036977546 0.0033486958 0.0035643745 0.0039531635 0.003711944 0.0037091062 0.0036495107 0.0035359957 0.0035700502 0.003907758 0.0035814017 0.004174518 0.0038084318 0.0038396486 0.0036722138 0.0035501851 0.0055991327 0.0037005926 0.0037488365 0.0042028967 0.003970191 0.005020206 0.003899244 0.003760188 0.003666538 0.0036551866 0.0033032896 0.0034026154 0.0038197835 0.004137626 0.0036268078 0.003990056 0.0046030376 0.0036041047 0.0035161304 0.0041631665 0.003453697 0.0040014074 0.004472495 0.0045122257 0.0037914047 0.003737485 0.0037403228 0.0037204577 0.003737485 0.003785729 0.0036012668 0.0036239699 0.0037545122 0.0041404637 0.003598429 0.003805594 0.003975867 0.004940745 0.0040524895 0.0035530229 0.0043306015 0.0042851954 0.0046172272 0.0035700502 0.0042766817 0.0037970804 0.004228438 0.004160329 0.0040127593 0.0034764002 0.0041830316 0.004296547 0.005244398 0.0056700795 0.0037091062 0.0037062683 0.003805594 0.003714782 0.0034707244 0.003504779 0.003760188 0.0039843805 0.0038226212 0.0035359957 0.004151815 0.004015597 0.0038680274 0.0047449316 0.0036835652 0.004180194 0.003646673 0.003714782 0.003711944 0.004597362 0.0036012668 0.0059396783 0.0036750517 0.0043050605 0.0039531635 0.003805594 0.0037403228 0.0036892411 0.0035842396 0.003592753 0.0032663972 0.003294776 0.0035899153 0.0033231548 0.0036126184 0.003507617 0.0035445092 0.0036523486 0.0034991032 0.0033231548 0.0036835652 0.003572888 0.0036750517 0.0035842396 0.0036381593 0.0036693758 0.0035359957 0.0036693758 0.003300452 0.003595591 0.003592753 0.0033259927 0.0038878925 0.0036239699 0.0032578837 0.003578564 0.0034480214 0.0037289714 0.0038907304 0.0035700502 0.0036353213 0.0035416714 0.003711944 0.0037232956 0.0035388335 0.003643835 0.0035416714 0.003453697 0.0034423457 0.003595591 0.003572888 0.0035586986 0.0035445092 0.0033430199 0.0047506075 0.0038481622 0.0038084318 0.0036353213 0.0035870774 0.003524644 0.0036353213 0.0040326244 0.0038424865 0.0035899153 0.003439508 0.003439508 0.0036864032 0.0035303198 0.0034820759 0.0037034305 0.0036154562 0.0034962653 0.0034792381 0.0036495107 0.0036580244 0.0034082911 0.0036126184 0.0035643745 0.0038424865 0.0034650487 0.0036778895 0.0036580244 0.0035558608 0.0035416714 0.003527482 0.0035842396 0.003873703 0.003598429 0.003507617 0.0036580244 0.0036750517 0.0034707244 0.0036523486 0.0036693758 0.005221695 0.0038282971 0.003456535 0.0042114104 0.0038169455 0.0036409972 0.0035189684 0.0034480214 0.004160329 0.0037885667 0.0034764002 0.0037204577 0.003802756 0.0033770744 0.0036892411 0.0037573501 0.0042624925 0.0035530229 0.0035530229 0.0036551866 0.0040241107 0.0035388335 0.003899244 0.00819579 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033610263 2.704765e-05 0.00018933354 0.00010961416 0.00023773461 0.00014947385 0.0007217452 0.00046977497 0.00018079218 2.1353408e-05 3.7012574e-05 2.704765e-05 3.2741893e-05 1.7082726e-05 9.964923e-06 0.00023915817 0.0064088693 9.964924e-05 0.00035446655 0.00038293778 0.0008384771 0.00062779017 0.0029424995 0.0016299768 0.0004868577 0.00019075711 8.399007e-05 6.690734e-05 8.114295e-05 5.551886e-05 4.982462e-05 0.00027759428 0.0019460073 5.978954e-05 3.9859693e-05 4.2706815e-05 0.00041567968 0.00034450163 0.0015260569 0.0007900761 0.0002633587 0.00017367439 3.8436134e-05 3.7012574e-05 4.982462e-05 3.9859693e-05 2.704765e-05 3.7012574e-05 0.001470538 8.683719e-05 8.114295e-05 7.117802e-05 0.00019645135 0.00014093249 8.683719e-05 0.00013808536 0.00019075711 1.4235605e-05 2.847121e-05 2.4200528e-05 0.00011103772 5.2671738e-05 7.2601586e-05 0.00014947385 0.001178708 5.694242e-05 8.399007e-05 0.00010249636 0.00015089741 0.00010676704 0.00011815552 0.00012242621 0.00040998543 0.00013666181 1.9929847e-05 3.2741893e-05 7.5448705e-05 7.402515e-05 8.256651e-05 0.00016370945 0.006890033 0.0011872494 0.00056088285 0.000965174 0.0023075915 0.0015345982 0.0009338557 0.0013224877 0.0031916227 0.000294677 0.0003601608 0.00038293778 0.0014306783 0.0006576849 0.0015630694 0.0026563639 0.01111089 0.002458489 0.0016641422 0.0021524234 0.0041610673 0.0034094274 0.0022634612 0.00288271 0.004627995 0.00031887754 0.00081142946 0.00074167503 0.0020485036 0.0010804824 0.002173777 0.00474188 0.057359524 0.05539501 0.05519998 0.055545907 0.055256926 0.055804994 0.05652247 0.056587953 0.056341678 0.05541067 0.05577083 0.05603419 0.055767983 0.055407822 0.05635449 0.05628331 1930.0 6.962694 13438.0 0.011013543 0.006474178 0.010641465 0.007888079 0.0069206725 0.006399762 0.0075904154 0.0075159995 0.007888079 0.006399762 0.006771841 0.00625093 0.008260158 0.008855484 0.00982289 0.009078732 0.0089299 0.0069206725 0.00982289 0.009078732 0.008706653 0.008632237 0.0089299 0.0071439203 0.0073671676 0.008632237 0.00840899 0.008334573 0.00840899 0.00840899 0.010269386 0.006697425 0.0073671676 0.011385622 0.008036911 0.011534454 0.010567049 0.01198095 0.010492633 0.010194969 0.008483405 0.01108796 0.0069950884 0.0093763955 0.011013543 0.010418217 0.0081857415 0.00982289 0.009971722 0.008483405 0.008781069 0.012799524 0.009748475 0.008706653 0.010418217 0.017934216 0.007739247 0.007813662 0.0073671676 0.008260158 0.0100461375 0.0073671676 0.0065485938 0.007888079 0.0075904154 0.01964578 0.0100461375 0.013171603 0.016669147 0.039068315 0.010269386 0.010492633 0.008483405 0.02091085 0.008706653 0.008260158 0.02091085 0.012650692 0.017785385 0.019794613 0.011534454 0.008260158 0.019571364 0.01964578 0.026566453 0.014064593 0.010567049 0.01108796 0.009301979 0.011683286 0.0072927517 0.0073671676 0.007739247 0.007962494 0.0074415836 0.0061765146 6.4667435 0.0 0.0 0.0 4.0 352376.0 290816.0 0.0 0.0 167.0 0.0 1.0 0.0 0.0 0.0 1451197600.0 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 -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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 25600.0 1024.0 4096.0 5.0 1.0 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 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -25600.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2217593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.133631 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.510531 0.0 4.6670117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25468.0 0.0 2640.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 -2.0 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 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 34248.0 2640.0 286720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 696.0 32768.0 0.0 0.0 0.0 0.0