Input: 0.034796212 0.00494046 0.0039636297 0.0042500687 0.00449244 0.003880391 0.0039979042 0.0038240824 0.0038852873 0.004005249 0.0040003527 0.003642916 0.0038118414 0.00371881 0.0037163617 0.0036649497 0.0036869834 0.0035670218 0.0037163617 0.0039048728 0.0036894316 0.003914666 0.0035768147 0.0036992244 0.0036135376 0.0033834071 0.0035009205 0.0036282267 0.003620882 0.003855909 0.003806945 0.0036771907 0.0042353794 0.0035376435 0.0042084493 0.0036967762 0.0036086412 0.003880391 0.0035156098 0.0035964001 0.0035278506 0.0035768147 0.0035719182 0.0037579811 0.0037579811 0.0038289789 0.0037702222 0.0037359474 0.0045365077 0.0038852873 0.003843668 0.003870598 0.0037163617 0.0037041209 0.003682087 0.0037041209 0.0036380196 0.0036649497 0.003819186 0.0036110894 0.0037114653 0.0036380196 0.0036086412 0.0035009205 0.0038265307 0.003953837 0.0037604293 0.0038754945 0.0037090173 0.003792256 0.0036894316 0.003581711 0.0037016727 0.003669846 0.0033540288 0.003657605 0.0038216342 0.0036502604 0.0038950802 0.0038485643 0.003819186 0.0036086412 0.0037751184 0.0040101456 0.0038289789 0.00404442 0.0036894316 0.0034103373 0.0036184338 0.0035915037 0.0034250265 0.0036625015 0.0036478122 0.0035645736 0.00354254 0.0037359474 0.0036037448 0.0039979042 0.0037114653 0.0038289789 0.0038412197 0.0042525167 0.0037334992 0.0036894316 0.0037090173 0.0041766227 0.0037041209 0.0036037448 0.0039611813 0.004005249 0.0041129696 0.0039660777 0.003767774 0.0037775666 0.004240276 0.004127659 0.0042255865 0.0035131616 0.0036869834 0.0034788868 0.0037579811 0.0037139135 0.0035743664 0.0037261546 0.0035719182 0.0037212581 0.0035645736 0.0034837832 0.0041350033 0.003843668 0.00354254 0.003831427 0.0038412197 0.0037237064 0.0036992244 0.003459301 0.0039856634 0.0037383956 0.0036184338 0.0040737987 0.0034029926 0.0039220103 0.0035474363 0.00354254 0.0036918798 0.0036355713 0.0033907518 0.0035743664 0.0035915037 0.0035964001 0.003532747 0.0036282267 0.0036502604 0.003682087 0.0035254024 0.0038265307 0.0036453642 0.0035988484 0.0035498845 0.0035645736 0.0037751184 0.003642916 0.0036722943 0.0035841593 0.0035866073 0.0036380196 0.0036110894 0.003518058 0.003581711 0.0037971523 0.0035866073 0.003669846 0.0037383956 0.0036845352 0.003630675 0.0036478122 0.00371881 0.0034715421 0.003606193 0.0039024246 0.003767774 0.0035964001 0.0037530847 0.003843668 0.0038387715 0.0037506365 0.003557229 0.004034627 0.0034984723 0.0035915037 0.0035866073 0.0037751184 0.0036722943 0.003892632 0.0037604293 0.0035523328 0.0038950802 0.0034984723 0.0036600532 0.0036257785 0.0037090173 0.0036355713 0.003682087 0.0036918798 0.0037016727 0.0037481883 0.0036478122 0.00386815 0.0037481883 0.0037775666 0.00374574 0.0036282267 0.0036037448 0.0037237064 0.0036796387 0.0038289789 0.00371881 0.0037873595 0.003755533 0.00371881 0.0037114653 0.003731051 0.0036527086 0.0037237064 0.0039513884 0.0038999766 0.0037506365 0.0037481883 0.0036796387 0.0035670218 0.0037702222 0.003620882 0.003794704 0.0037383956 0.0036502604 0.0035302988 0.00354254 0.0035841593 0.0035792629 0.0036233303 0.0038020487 0.0036159859 0.0037996005 0.003630675 0.003980767 0.003669846 0.0037016727 0.003630675 0.003892632 0.0035547807 0.003620882 0.0037530847 0.0037139135 0.007848917 0.0059466683 0.010813682 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021191651 7.379566e-05 2.2138696e-05 1.8448914e-05 1.967884e-05 1.7218987e-05 2.2138696e-05 2.0908768e-05 6.641609e-05 1.2299276e-05 2.3368624e-05 7.3795654e-06 1.3529203e-05 1.3529203e-05 6.149638e-05 7.3795654e-06 0.0020318404 6.3956235e-05 1.967884e-05 2.0908768e-05 2.4598552e-05 2.3368624e-05 2.9518262e-05 3.074819e-05 8.117522e-05 2.7058406e-05 2.2138696e-05 2.3368624e-05 1.967884e-05 2.4598552e-05 5.4116812e-05 2.2138696e-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 0.0015546285 1.5989059e-05 8.609493e-06 7.3795654e-06 6.149638e-06 1.7218987e-05 4.058761e-05 4.4277393e-05 3.689783e-05 1.1069348e-05 1.2299276e-05 1.967884e-05 6.518616e-05 8.2405146e-05 9.224457e-05 0.0005042703 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0074853394 0.000186949 0.000113153335 0.00032962058 0.000113153335 0.00013037233 0.00022876653 0.00032839066 0.00073795655 0.00030133227 0.00016358036 0.0009138362 0.0004058761 0.00047598197 0.00055469736 0.0026443442 0.003802936 0.00013652197 0.00023737602 0.000356679 0.00014021175 9.593435e-05 0.00060758425 0.00047598197 0.00042801478 0.00023983588 0.00011192341 0.0006740003 0.00023245631 0.00033208044 0.00031609138 0.0018879388 0.0044547976 0.00022261689 0.00024721544 0.00022261689 0.00020785777 0.00017341979 0.0004009564 0.0003652885 0.0003345403 0.00032470087 0.000289033 0.00030625195 0.00046737248 0.00067646016 0.0006260331 0.0032752971 0.007840788 0.00093843474 0.0011499823 0.000900307 0.0011143144 0.00097041286 0.0013147925 0.001052818 0.0010983254 0.00068137987 0.00067154045 0.0009113763 0.001002391 0.0013725992 0.0010921757 0.0055961707 0.0045421226 0.00090891647 0.000883088 0.0007354967 0.0005522375 0.0004981207 0.00097041286 0.00070351857 0.00068137987 0.00041940532 0.00066293095 0.0007920734 0.00084988 0.0008056026 0.00069859886 0.0029284577 0.003650425 0.0009728727 0.0013492305 0.0017034498 0.0008572595 0.0010306793 0.0020453695 0.0013541502 0.0008695588 0.00042063525 0.0005473178 0.0005706864 0.00051410974 0.0005128798 0.00054116815 0.0006924492 0.056528702 0.055576738 0.05539348 0.055785824 0.056500413 0.055918656 0.055464815 0.05522867 0.055851012 0.05551524 0.056135125 0.05535043 0.055916198 0.05551647 0.055252038 0.055753846 1870.0 8.060428 15073.0 0.018775294 0.007032442 0.023286672 0.0063026603 0.007032442 0.009951569 0.0076958803 0.006501692 0.006767067 0.0065680356 0.007430505 0.006833411 0.011278445 0.00961985 0.013600478 0.013003384 0.0171167 0.010548663 0.010216944 0.010681351 0.009354475 0.009221788 0.009155444 0.007430505 0.009354475 0.008160287 0.013865853 0.007762224 0.008492006 0.009288131 0.00855835 0.006833411 0.0065680356 0.012273602 0.007430505 0.013268759 0.011344789 0.011278445 0.008890068 0.008425661 0.008027599 0.0090891 0.006833411 0.0073641613 0.010415976 0.007828567 0.011278445 0.010880382 0.008890068 0.0073641613 0.009951569 0.013799509 0.010880382 0.010415976 0.009487162 0.006103629 0.0075631924 0.0079612555 0.008027599 0.006966098 0.0075631924 0.0066343793 0.0068997545 0.011941883 0.0053075035 0.015657134 0.009487162 0.013932196 0.012472633 0.02341936 0.010415976 0.0120082265 0.009752538 0.022158828 0.008160287 0.007629536 0.015060041 0.012605321 0.021959797 0.018642606 0.013335102 0.007032442 0.020632919 0.019372387 0.021827107 0.010814038 0.009221788 0.009221788 0.007032442 0.009354475 0.006037285 0.009221788 0.0072314735 0.008359318 0.0071651298 0.006103629 6.4820495 0.0 22.0 0.0 5.0 408464.0 1425408.0 0.0 0.0 12.0 0.0 1.0 1.0 1.0 0.0 1257912600.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 667136.0 1024.0 4096.0 2.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -360960.0 0.0 38400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9992704 0.0 5.9165063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1380352.0 0.0 40960.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 631.0 1418724.0 33910.0 1384448.0 0.0 0.0 8080.0 400384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 37.0 1422716.0 0.0 0.0 0.0 0.0 0.0 0.0 224.0 793408.0 0.0 0.0


Input: 0.02856307 0.0044567767 0.0036344447 0.003731271 0.003926307 0.0036925406 0.0034470167 0.00385922 0.004007226 0.003597789 0.0036199207 0.0037409537 0.0038426213 0.0036171542 0.0034905884 0.0043253694 0.003787292 0.003608855 0.0034345675 0.0035922562 0.0035590585 0.00367525 0.0036171542 0.003765852 0.003390304 0.0034304177 0.0034221185 0.0035922562 0.0035825735 0.0036012472 0.0037319625 0.003882735 0.0044422527 0.0034062113 0.0034034448 0.0035265526 0.0037554775 0.003536235 0.00340137 0.0036593429 0.0034988879 0.003439409 0.0034746814 0.0037326543 0.0035431513 0.00363237 0.0037734597 0.00393184 0.0033501904 0.0034532412 0.0034262682 0.0039885524 0.0034836724 0.0036980733 0.003520328 0.003801816 0.0036164627 0.0037534027 0.003489897 0.0040957527 0.003832247 0.0039525884 0.003841238 0.0040750043 0.0035860315 0.0050239023 0.0038253309 0.0035867232 0.0036766334 0.0043475013 0.0035874147 0.003644819 0.0034580824 0.0035901812 0.0033889208 0.0035549088 0.0035300106 0.0038294806 0.003637903 0.0039110915 0.0041469326 0.0035286273 0.0033356664 0.0039339145 0.0035334688 0.003886193 0.004140016 0.004120651 0.003565283 0.0040777707 0.0035479926 0.0037900584 0.0036780166 0.003886193 0.0040978277 0.0041282587 0.0033529568 0.003983711 0.0035244776 0.0038363968 0.0037430285 0.0044754506 0.0038564536 0.0038709776 0.0039719534 0.0040369653 0.0038564536 0.003623379 0.0039014088 0.0038121901 0.004196729 0.004343352 0.0037755345 0.0036282202 0.0041282587 0.004144166 0.0050204443 0.0050467257 0.0038405464 0.0041669896 0.0038564536 0.003918699 0.0036946153 0.003945672 0.0040155253 0.0041358666 0.004041807 0.0041483156 0.0037395705 0.0034269597 0.003323909 0.0045951 0.0035957142 0.0041524656 0.003487822 0.0036026305 0.0036012472 0.004165606 0.0036130047 0.005413974 0.003505804 0.0042748814 0.0035687413 0.0037610105 0.0034290347 0.0033702473 0.0034324927 0.0035901812 0.0034795227 0.0036019387 0.0035196363 0.0037997412 0.0033896125 0.0035258608 0.003419352 0.003687699 0.0036116214 0.003687699 0.0038059657 0.004002385 0.0033225256 0.003597789 0.0035348518 0.003687699 0.003431801 0.0035694328 0.00351272 0.0036102382 0.0034546244 0.0036572681 0.0037063728 0.003621304 0.0036164627 0.0035521423 0.003760319 0.0038744356 0.0035479926 0.0034504747 0.0035632083 0.0035217113 0.0036282202 0.0036517351 0.0036289117 0.0039214655 0.00374372 0.0037285045 0.0036406692 0.003702223 0.003879277 0.0038765105 0.004029358 0.004109585 0.004122034 0.0037796842 0.0035881065 0.0041434746 0.0038038907 0.0037215883 0.003742337 0.004016217 0.0036309867 0.0037319625 0.0035894897 0.0037146723 0.0038239476 0.0037105225 0.0037202053 0.0038529956 0.0035161783 0.003543843 0.0036655674 0.0036296034 0.003666259 0.00367525 0.0037215883 0.0038695943 0.0036053967 0.0036828578 0.0036966903 0.00379075 0.0037789925 0.0038668278 0.003985786 0.003982328 0.0039671124 0.0038516123 0.0037001483 0.0037229715 0.0037769177 0.0037444117 0.003798358 0.003937373 0.005150468 0.0038315554 0.003687699 0.004216786 0.0037706932 0.0037824507 0.0040355823 0.004045265 0.0040501063 0.0037789925 0.003888268 0.0040369653 0.0038343219 0.003989244 0.0039339145 0.004142091 0.004286639 0.0040390403 0.0038695943 0.004099211 0.004533546 0.004414588 0.0041988036 0.008968883 0.004249189 0.0 3.4605333e-07 6.9210665e-07 1.03816e-06 1.03816e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006578474 2.7684266e-06 2.4223734e-06 2.7684266e-06 3.11448e-06 1.3842133e-06 3.11448e-06 2.7684266e-06 1.03816e-05 2.4223734e-06 3.11448e-06 1.7302666e-06 2.7684266e-06 2.4223734e-06 7.6131732e-06 2.07632e-06 0.0012530591 1.1073706e-05 1.55724e-05 4.844747e-06 4.256456e-05 2.4223733e-05 1.7302667e-05 1.41881865e-05 2.4223734e-06 2.4223734e-06 1.7302666e-06 2.07632e-06 7.6131732e-06 5.1908e-06 6.9210664e-06 6.22896e-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 0.0016918548 3.3567172e-05 1.868688e-05 1.453424e-05 0.000108660744 5.2254054e-05 5.536853e-05 2.906848e-05 2.0417147e-05 1.3842133e-05 1.03816e-05 4.844747e-06 1.245792e-05 1.1765813e-05 8.30528e-06 4.0142186e-05 0.0010731114 2.8376373e-05 3.3567172e-05 1.2803973e-05 4.256456e-05 2.5954e-05 6.2635656e-05 6.7480396e-05 1.141976e-05 8.30528e-06 1.0727653e-05 5.8829064e-06 6.9210664e-06 8.30528e-06 7.26712e-06 1.2111866e-05 0.0033968594 4.15264e-05 0.0004924339 6.021328e-05 0.00015987664 0.00013461475 0.0013620659 0.00069556717 6.9210664e-06 2.4223734e-06 4.15264e-06 3.8065866e-06 4.15264e-06 6.9210665e-07 3.8065866e-06 9.34344e-06 0.0010872995 1.55724e-05 0.00015364768 5.4676428e-05 6.990277e-05 3.6681653e-05 0.0003322112 0.00016887403 3.11448e-06 1.0727653e-05 6.9210664e-06 4.498693e-06 1.0035546e-05 1.3842133e-05 5.536853e-06 0.00015260951 0.00297156 7.197909e-05 0.0004100732 0.00022528072 0.00041284162 0.0002453518 0.0013208856 0.00068622374 0.00012354105 3.841192e-05 4.4986933e-05 4.4986933e-05 7.820805e-05 4.15264e-05 7.440147e-05 0.00029691376 0.0013568751 6.886461e-05 0.00020174909 8.89357e-05 0.00015433978 0.00014776477 0.00066303817 0.0004100732 5.917512e-05 4.464088e-05 6.955672e-05 3.5989546e-05 3.3567172e-05 5.4676428e-05 2.180136e-05 0.00013253842 0.0019552014 0.00010969891 0.00028653216 0.00019898066 0.00016229901 0.00017752536 0.00067376584 0.00049935497 0.0001667977 0.00013392264 0.00015330162 0.00012250288 0.000117658135 0.00015883848 0.000100701516 0.0006526566 0.00039311658 8.063042e-05 3.4951387e-05 7.5785676e-05 1.03816e-06 9.551072e-05 2.07632e-05 6.125144e-05 5.6406694e-05 2.07632e-05 9.931731e-05 2.8722427e-05 2.180136e-05 6.644224e-05 1.7302666e-06 0.00035920335 0.0025940158 0.0004235693 0.0002958756 0.00035089807 0.0008146095 0.00072255934 0.00046094303 0.00065127236 0.0013184632 0.00016264507 0.0001757951 0.00021351491 0.00052184844 0.00024777418 0.0005747946 0.0011021799 0.008797368 0.0016800889 0.0011945762 0.00207632 0.0037813247 0.0033909767 0.0016385625 0.0026815673 0.0050973655 0.00057410245 0.0008267214 0.00077066076 0.002654229 0.0008606346 0.002600937 0.0053150333 0.053846937 0.05511557 0.05502594 0.056231935 0.054428652 0.056354783 0.05578345 0.059552662 0.054980606 0.056352016 0.056118086 0.058400307 0.057236183 0.05822728 0.059622914 0.062006872 7649.0 6.6204734 50640.0 0.023834914 0.008748026 0.01121643 0.00799763 0.008333334 0.008984992 0.008254345 0.009004739 0.008590047 0.008688783 0.007740916 0.009044234 0.008254345 0.00914297 0.011196682 0.009873617 0.008274091 0.008392575 0.008688783 0.009518167 0.008669036 0.0076026856 0.009340443 0.009320695 0.007918641 0.0092614535 0.0087677725 0.008669036 0.009952607 0.009478673 0.009695892 0.008728278 0.0074842023 0.010920221 0.008807267 0.01007109 0.009636651 0.010051343 0.010090837 0.009755135 0.0092614535 0.009913112 0.008609795 0.008274091 0.0091627175 0.009221959 0.009123223 0.009320695 0.010446288 0.009814376 0.008116114 0.013408373 0.009123223 0.0087677725 0.011986572 0.011986572 0.008629542 0.009636651 0.00843207 0.008412322 0.0089652445 0.008728278 0.010347552 0.009794629 0.008491311 0.016172986 0.009735387 0.013763823 0.012736967 0.024249606 0.009952607 0.009794629 0.010584518 0.017199842 0.008728278 0.008313586 0.014099526 0.011986572 0.01700237 0.018147709 0.010387046 0.0091627175 0.017298577 0.015402843 0.02142575 0.013033175 0.010308057 0.010880726 0.009458926 0.011058452 0.009300948 0.008945498 0.00936019 0.008412322 0.009044234 0.008076619 6.528769 0.0 2.0 0.0 19.0 1445888.0 3682304.0 0.0 0.0 177.0 0.0 1.0 0.0 0.0 0.0 1257193500.0 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 77824.0 4096.0 4096.0 5.0 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 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 3497984.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 5.455205 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9730958 0.0 0.0 7.997618 0.0 0.0 0.0 0.0 0.0 -6.603506 0.0 5.021632 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14370.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59108.0 0.0 0.0 3497984.0 0.0 0.0 0.0 0.0 0.0 -75637.0 0.0 24572.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -2.0 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 2.0 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 -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 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 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 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 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 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 -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 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 1.0 -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 -1.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 50.0 96240.0 120.0 92308.0 24572.0 159744.0 0.0 0.0 5760.0 3629056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 89760.0 0.0 0.0 728.0 81920.0 0.0 0.0 0.0 0.0


Input: 0.1981352 0.018623738 0.015175796 0.01010101 0.013694638 0.008668415 0.024256993 0.010829449 0.01010101 0.005778943 0.024499806 0.0049533797 0.0044191917 0.005730381 0.00628885 0.0028166277 0.004176379 0.016656954 0.0064345375 0.01065948 0.003885004 0.0019667833 0.0060946 0.0053661615 0.0026466588 0.0025738152 0.0027923465 0.0019182207 0.0021367522 0.0036907536 0.0020153457 0.0029137528 0.0239899 0.0030351593 0.0031080032 0.0012869076 0.0010926573 0.0056089745 0.0024281275 0.0011169387 0.018186674 0.0014811577 0.004249223 0.0034965035 0.0033265345 0.0047591296 0.004516317 0.0028166277 0.009615385 0.0037635975 0.0020639084 0.0025495337 0.0023795648 0.002039627 0.0013597513 0.0016511267 0.0017968143 0.0017239705 0.0024281275 0.00089840713 0.0019910645 0.0015782828 0.0016511267 0.0008498446 0.0011655012 0.0036907536 0.0020639084 0.0032536907 0.0022095959 0.0027680653 0.0019182207 0.0015782828 0.0020881896 0.0026709402 0.0008498446 0.0009469697 0.0017968143 0.0021367522 0.001772533 0.0016025641 0.0024524087 0.0011169387 0.002306721 0.0044191917 0.0026223776 0.0033993784 0.00781857 0.0017482517 0.0036421912 0.0032294095 0.0014568764 0.0010440948 0.0010440948 0.00080128206 0.00060703186 0.0028166277 0.0020153457 0.013039044 0.003545066 0.0083041955 0.006580225 0.025980964 0.006725913 0.0052690366 0.0038364413 0.013014763 0.0009226884 0.0016025641 0.008279915 0.006580225 0.010368104 0.01655983 0.0049290988 0.0014568764 0.011946387 0.012092074 0.020541959 0.005997475 0.0026466588 0.0028651904 0.0017968143 0.0044920356 0.0010198135 0.0022095959 0.00080128206 0.0016754079 0.0028166277 0.00070415693 0.009785353 0.0033750972 0.0029623155 0.0011897824 0.0010926573 0.0014325952 0.0043706293 0.0013354701 0.0014568764 0.0018453768 0.0011655012 0.001505439 0.0011412199 0.0011412199 0.0014083139 0.0009955323 0.00089840713 0.0025738152 0.0007527195 0.0011169387 0.00080128206 0.0014083139 0.00070415693 0.00063131313 0.0008498446 0.0009955323 0.0017482517 0.00063131313 0.0009469697 0.00089840713 0.0010198135 0.00067987567 0.0016268453 0.0010683761 0.0019910645 0.0007527195 0.0003885004 0.0009955323 0.00087412586 0.0007284382 0.00070415693 0.00089840713 0.0007284382 0.0006555944 0.0009469697 0.0009226884 0.000971251 0.0010683761 0.0009226884 0.000971251 0.0011655012 0.0012869076 0.00070415693 0.0010440948 0.00087412586 0.0016511267 0.0013597513 0.0007770008 0.00082556333 0.0010926573 0.0008498446 0.00060703186 0.0007284382 0.000971251 0.00063131313 0.00087412586 0.00067987567 0.0006555944 0.0009469697 0.00080128206 0.0007284382 0.0007284382 0.0010683761 0.0009469697 0.0006555944 0.0007527195 0.0008498446 0.00087412586 0.00050990673 0.00063131313 0.0013840327 0.0011897824 0.0011412199 0.0007284382 0.00070415693 0.00082556333 0.0008498446 0.0006555944 0.0007770008 0.00070415693 0.0007284382 0.0013840327 0.0012869076 0.001505439 0.0026952215 0.0005827506 0.0011897824 0.0011169387 0.0062402873 0.00067987567 0.000971251 0.0006555944 0.00080128206 0.0004613442 0.0004856255 0.0010440948 0.00043706293 0.0036907536 0.00070415693 0.00082556333 0.00067987567 0.00087412586 0.00089840713 0.000971251 0.0006555944 0.00067987567 0.000971251 0.00070415693 0.0009226884 0.001942502 0.00089840713 0.00087412586 0.00087412586 0.00053418806 0.004856255 0.0011412199 0.0012869076 0.0009469697 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020157252 0.0015274439 0.00047576122 0.00022536058 0.0003505609 0.00025040066 0.0009890825 0.000388121 0.00081380206 0.00018780048 6.2600164e-05 3.7560098e-05 2.5040064e-05 8.764023e-05 1.2520032e-05 5.008013e-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 0.05003005 0.0055839345 0.0099409055 0.0045698117 0.0042693308 0.0053460537 0.02778195 0.015074119 0.002316206 0.0013271234 0.0005133213 0.00018780048 0.00023788061 0.000388121 0.00016276042 0.00047576122 0.10491787 0.019819211 0.029171675 0.005008013 0.0061974158 0.008125501 0.034367487 0.021609575 0.008526142 0.0019280849 0.002316206 0.004256811 0.0006635617 0.002716847 0.0031926082 0.0035932492 0.090444714 0.022435898 0.01582532 0.0041691707 0.0045823315 0.008851662 0.020733174 0.008400941 0.008626302 0.0030674078 0.0013897235 0.0018279246 0.0021659655 0.0042943708 0.004682492 0.0036308093 0.043419473 0.01178135 0.009965946 0.0055463742 0.004382011 0.0053210137 0.0235001 0.012770433 0.002704327 0.0016526442 0.0013146034 0.00076372194 0.0011268029 0.0010892428 0.0016526442 0.0012144431 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022899138 0.005108173 0.007111378 0.0060596955 0.0028420473 0.003130008 0.008250701 0.0056715747 0.0031926082 0.0015900441 0.0018028846 0.0016150841 0.0016150841 0.0018529647 0.001978165 0.0022035257 0.02329978 0.005408654 0.0070738182 0.007925181 0.005934495 0.0050455728 0.011255509 0.008263221 0.0052083335 0.0029171675 0.0037560095 0.0030674078 0.0028545673 0.0033178085 0.003480569 0.0037560095 0.008814103 0.0049328925 0.0049704527 0.0045322515 0.003480569 0.0044320915 0.0071238982 0.0063726963 0.0045447717 0.0036558493 0.0038311298 0.0036433293 0.0035932492 0.0033553685 0.0056966147 0.0039438102 499.0 18.094189 9029.0 0.063019164 0.0015505593 0.0076420424 0.00055377115 0.0012182966 0.00044301694 0.00066452543 0.00033226272 0.0013290509 0.00055377115 0.00055377115 0.000110754234 0.001439805 0.009635619 0.013401262 0.008528076 0.015837856 0.008971093 0.004651678 0.0039871526 0.0039871526 0.0033226272 0.003211873 0.0016613136 0.0035441355 0.002325839 0.004097907 0.0 0.0044301692 0.0036548898 0.0044301692 0.00022150847 0.000110754234 0.011075424 0.001439805 0.009857127 0.0066452543 0.004762432 0.004097907 0.0031011186 0.001882822 0.00786355 0.000110754234 0.00077527965 0.0036548898 0.0044301692 0.0035441355 0.0034333814 0.005205449 0.00022150847 0.005648466 0.013622771 0.0069775167 0.00287961 0.0024365932 0.003765644 0.0013290509 0.0009967881 0.0012182966 0.0 0.0 0.00033226272 0.00033226272 0.0076420424 0.0008860339 0.043194152 0.010632407 0.027910067 0.02325839 0.10676708 0.026027245 0.019160483 0.011296932 0.046406023 0.00044301694 0.004097907 0.02979289 0.024698194 0.039871525 0.042972643 0.018385204 0.0022150846 0.04629527 0.044080187 0.07232252 0.020600287 0.008417322 0.010410898 0.004651678 0.014176542 0.0011075423 0.00055377115 0.0 0.00055377115 0.000110754234 0.0 5.303964 0.0 18.0 0.0 1.0 41184.0 57344.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1520514800.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 29184.0 512.0 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 -29184.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.305188 0.0 5.0651236 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 -28828.0 0.0 3928.0 0.0 0.0 0.0 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 87.0 36924.0 3928.0 49152.0 0.0 0.0 6880.0 34304.0 12.0 40960.0 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: 0.22124155 0.008065398 0.008956416 0.006161476 0.009595259 0.003337116 0.0026898668 0.0023368218 0.00867482 0.0017316018 0.0022107342 0.0015004413 0.006060606 0.002067835 0.00110957 0.005909301 0.00713235 0.0010129029 0.0007186988 0.0005337704 0.00443828 0.0026562435 0.0010339175 0.0004917413 0.0039129155 0.00090783 0.00046232084 0.0007481192 0.0020636322 0.0006766696 0.00088261254 0.0012566721 0.015050645 0.000756525 0.0034043626 0.0008952213 0.016307317 0.00082797464 0.00055058213 0.001160005 0.0021939226 0.0009204388 0.00044550918 0.0021981255 0.0013197159 0.0007817425 0.001567688 0.0004749296 0.0066069853 0.0018997184 0.0026184171 0.0056403144 0.0016349347 0.0014584122 0.0010339175 0.0007691338 0.0022107342 0.0027150842 0.0018408776 0.004887992 0.0013533392 0.0010171059 0.0005673938 0.0041062497 0.013857016 0.0047492962 0.011230194 0.004795528 0.007863658 0.007855251 0.003240449 0.0015802968 0.0023914597 0.0038036397 0.0007943513 0.0008700038 0.0040263943 0.004295381 0.0025553734 0.0012944983 0.00824192 0.0039507416 0.004148279 0.0061530704 0.0031059554 0.004001177 0.006674232 0.0039087124 0.0018829068 0.0035556676 0.0012902955 0.0017358046 0.002425083 0.003236246 0.0030387088 0.004648426 0.00110957 0.009259026 0.0017484134 0.0055646617 0.006749884 0.013377884 0.0034590005 0.0030218973 0.005631909 0.008666415 0.00443828 0.00084058335 0.00642626 0.0022023285 0.0078006135 0.008691632 0.0039675534 0.0005673938 0.01331484 0.010053377 0.020333711 0.011717732 0.0024713152 0.0027445047 0.0022107342 0.0016223259 0.0007523221 0.00035724792 0.0018282689 0.0023031984 0.0012818896 0.0011684109 0.0043668305 0.0021056614 0.00055898796 0.013218174 0.0036481319 0.007128147 0.00060522003 0.00046232084 0.0039759595 0.009275838 0.0021392847 0.026667507 0.0017231959 0.009733955 0.00050435 0.0012902955 0.0010885554 0.000252175 0.00047913252 0.0005968142 0.0010423234 0.00064724917 0.00033203044 0.00020594292 0.00078594545 0.00035724792 0.00031101584 0.0002479721 0.0007481192 0.00045811792 0.00021014584 0.00023116042 0.0006094229 0.0014710209 0.0002942042 0.00074391626 0.0007817425 0.0006010171 0.00032362458 0.00038666834 0.0008489892 0.00021014584 0.0002563779 0.0003488421 0.0006934813 0.00026478377 0.00030681293 0.00023956626 0.0007775396 0.0002269575 0.00033623335 0.00028159542 0.00065565505 0.00066826376 0.00082797464 0.0008658009 0.0016391375 0.00051695877 0.0003782625 0.00031521876 0.00068927836 0.00071449584 0.000756525 0.0005253646 0.006598579 0.0029126212 0.0027613163 0.004144076 0.004892195 0.0008531921 0.0034968269 0.004299584 0.0026226202 0.0018282689 0.00084058335 0.00068087253 0.013709915 0.0005337704 0.0011389905 0.0006430463 0.0014752238 0.0009918883 0.000962468 0.00088261254 0.0007691338 0.0006262346 0.0008489892 0.0006724667 0.0015887026 0.0004497121 0.00041608876 0.0010591351 0.0008489892 0.00039087125 0.0004244946 0.0003740596 0.0024545034 0.0012020342 0.000554785 0.00034043627 0.0021098643 0.0008742067 0.00055058213 0.0004959442 0.0136258565 0.003232043 0.00041188585 0.004707267 0.0030134914 0.00048333543 0.00042029168 0.0004497121 0.0028453746 0.0011221787 0.00034043627 0.000962468 0.0015760938 0.00031942167 0.002030009 0.0017778338 0.003963351 0.0022821839 0.0011347876 0.0018829068 0.0034085657 0.0031185644 0.003437986 0.04350439 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037181242 6.341315e-05 2.3251489e-05 1.268263e-05 0.00012471253 9.089218e-05 4.016166e-05 2.9592804e-05 3.1706575e-05 8.455087e-06 3.5934117e-05 1.6910173e-05 1.9023944e-05 2.3251489e-05 3.1706575e-05 5.9185608e-05 0.010494877 0.00025788014 0.00019023944 6.341315e-05 0.00040161662 0.0002092634 0.00028113162 0.00016487419 0.00013528139 6.1299375e-05 9.9347264e-05 6.552692e-05 6.341315e-05 0.000107802356 0.00020503585 0.00018601191 0.0033376454 8.2437095e-05 4.016166e-05 3.1706575e-05 6.764069e-05 4.6502977e-05 4.016166e-05 3.5934117e-05 5.073052e-05 2.536526e-05 3.804789e-05 6.341315e-05 4.4389206e-05 6.1299375e-05 0.00030226936 6.1299375e-05 0.029990193 0.00045657466 0.0035765017 0.00039104777 0.0019214185 0.00049885013 0.006144734 0.004100717 0.00068908953 0.00030226936 0.00012471253 0.0001268263 0.00016698796 0.00020080831 0.00045234713 0.002804975 0.040282145 0.0004777124 0.0054366207 0.0033904896 0.0037434895 0.002249053 0.0086220745 0.0063096085 0.002815544 0.00030015557 0.00027056277 0.00012471253 0.0002451975 0.00016487419 0.00020292208 0.003286915 0.039383795 0.0006637243 0.007620147 0.0056332015 0.018675173 0.008235254 0.033101663 0.020205542 0.0013760653 0.00047982615 0.00036145496 0.00028535916 0.00049462257 0.00034454477 0.00036779625 0.0012999696 0.0189098 0.0003276346 0.0030670827 0.0021814124 0.0054831235 0.0027859511 0.012084433 0.006924716 0.0010040415 0.00032340706 0.00040795794 0.00043543696 0.0007947781 0.00035511365 0.0005157603 0.00067640695 0.015405168 0.00052421534 0.0023293763 0.0023484002 0.0028747295 0.002010197 0.007506003 0.0042507946 0.0010991612 0.0005009639 0.0007694129 0.0006869758 0.0011097301 0.00054112554 0.0005284429 0.000805347 0.010310978 0.0005516944 0.0018474364 0.0017988196 0.002490023 0.0017544305 0.0046946867 0.003434879 0.0037815375 0.0006045387 0.0007461614 0.0010547721 0.0018389813 0.0008476224 0.0014331372 0.006100345 0.06997007 0.014496246 0.015724348 0.0125283245 0.021260316 0.024466908 0.009372463 0.014978186 0.04389881 0.003035376 0.002990987 0.0038639745 0.029083384 0.004848992 0.015107126 0.030391809 0.047914974 0.011164942 0.009110356 0.011805414 0.018254532 0.019748969 0.007081135 0.016445143 0.033027682 0.0023462866 0.002564005 0.003489837 0.018381359 0.005358411 0.015935725 0.02845348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1320.0 23.503788 31025.0 0.023690572 0.00048348107 0.015052377 0.0003223207 0.021885576 0.0018372281 0.0003545528 0.0030298147 0.0017082997 0.00074133766 0.00029008865 0.0005157131 0.0014182111 0.0019016921 0.0025141016 0.0003545528 0.011120064 0.0042546336 0.009895246 0.0019016921 0.0012570508 0.0011603546 0.0014504432 0.0007091056 0.0021273168 0.0020950846 0.004448026 0.004609186 0.00096696214 0.00038678484 0.00045124898 0.025173247 0.079194196 0.019049155 0.0087993555 0.012344883 0.02394843 0.012538276 0.0029975825 0.0033521354 0.005382756 0.014182111 0.00048348107 0.0033843673 0.0042868652 0.0029653506 0.0074456083 0.0017727639 0.011248993 0.008702659 0.007284448 0.0238195 0.0048348107 0.0075100726 0.018597905 0.006414182 0.0026107978 0.0020950846 0.0067687347 0.0014504432 0.0036744562 0.0012892828 0.0015793715 0.019016922 0.0015793715 0.044609185 0.0070588235 0.030684931 0.020983078 0.04248187 0.005898469 0.014601128 0.010668815 0.03951652 0.0012248186 0.0017405319 0.0255278 0.004995971 0.029814666 0.03390814 0.010088638 0.0003223207 0.053440772 0.04357776 0.067945205 0.009895246 0.0035132957 0.006317486 0.0034165995 0.005962933 0.00093473005 0.00016116035 0.00029008865 0.0003545528 0.0006768735 0.0006768735 5.5268 2.0 0.0 12.0 3.0 237930.0 352256.0 0.0 206.0 164.0 0.0 1.0 0.0 0.0 0.0 1269620700.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 138240.0 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 42496.0 0.0 0.0 0.0 0.0 0.0 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 -138240.0 0.0 145920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7026696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.363204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.641455 0.0 4.1648083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 42476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -137740.0 0.0 147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 -1.0 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 -2.0 1.0 -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 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 -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 -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 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 -1.0 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 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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 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 -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 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 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 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 1.0 -2.0 0.0 -2.0 2.0 0.0 0.0 0.0 -1.0 -2.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 -2.0 -1.0 1.0 1.0 0.0 -3.0 -1.0 1.0 0.0 2.0 2.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -3.0 0.0 0.0 1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -2.0 0.0 -2.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -2.0 1.0 -1.0 1.0 -1.0 -2.0 -1.0 0.0 -1.0 1.0 1.0 2.0 -2.0 2.0 0.0 1.0 0.0 17612.0 168224.0 140.0 164404.0 67996.0 204800.0 0.0 0.0 6856.0 255488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 158520.0 0.0 0.0 680.0 143360.0 0.0 0.0 0.0 0.0


Input: 0.0063687875 0.0039592786 0.0038961126 0.0039636763 0.003991062 0.003913503 0.0038551344 0.0038921146 0.0039356914 0.0038739243 0.0038907153 0.0038833192 0.0038927144 0.0039069066 0.0038529355 0.0039033087 0.003934292 0.0038255502 0.0038827197 0.003898911 0.0039518825 0.0038659286 0.003831747 0.0039161015 0.0038693268 0.0038725252 0.0038863176 0.0038323465 0.0039292946 0.0038605316 0.0038903155 0.003867328 0.004074617 0.0038777224 0.003889716 0.003924897 0.003917701 0.0038709259 0.003869127 0.0038455396 0.0038421415 0.0038781222 0.0038583328 0.003889316 0.0038237511 0.0038553344 0.0038795213 0.003914103 0.0038813204 0.003906107 0.0038757233 0.0039800676 0.003896912 0.0038835192 0.0038809206 0.0039051077 0.0038417417 0.0038337458 0.0039374903 0.003934892 0.0038647293 0.0038771227 0.0038845188 0.003889716 0.004129987 0.0039169015 0.0038669282 0.0039368905 0.003941688 0.003965475 0.0039041082 0.0038611311 0.003870526 0.0039167013 0.0038663284 0.0038551344 0.0039111045 0.0038537353 0.0038959126 0.0039037084 0.0039432873 0.003899111 0.0038627305 0.0039147027 0.0038979114 0.003977069 0.0039071064 0.0038973119 0.0038581328 0.0038565337 0.0038495373 0.0039075064 0.0038675277 0.003895113 0.003915302 0.0039127036 0.003861531 0.003936491 0.0038493376 0.0038869174 0.0039334926 0.00393869 0.0039520822 0.0038755236 0.0039091054 0.003941288 0.003923698 0.0038583328 0.0039079064 0.003841142 0.003874524 0.0039308937 0.003930494 0.0038235513 0.003979468 0.0039350917 0.0040122503 0.0039634765 0.0039582793 0.0038845188 0.003949284 0.0038827197 0.0038819201 0.0038239511 0.0038929142 0.0038589323 0.003891115 0.0038495373 0.0039272956 0.0039272956 0.003879921 0.0039710724 0.003926896 0.0038985112 0.0038543348 0.0038875171 0.0038711259 0.0040100515 0.00388212 0.0042849043 0.0038645293 0.0039462857 0.0038859178 0.003853935 0.0038713256 0.0038719254 0.003868927 0.0038627305 0.0038667282 0.0038623305 0.003854135 0.003833546 0.003887917 0.003951083 0.0038405422 0.0038803208 0.0038479383 0.0038773224 0.0038845188 0.0038751238 0.0038663284 0.0038733247 0.003827749 0.0038813204 0.003891315 0.0038341456 0.0038871174 0.0038449399 0.003879921 0.0039059073 0.0038795213 0.0037993642 0.0038811206 0.0038675277 0.0038451399 0.0038843188 0.0038575332 0.0038753236 0.0038775224 0.003869127 0.003859732 0.0038327465 0.0038413417 0.003898911 0.003904708 0.0038643295 0.0038931142 0.003889316 0.0038575332 0.0038487378 0.0038527357 0.0038703263 0.004011451 0.0039035084 0.003861731 0.0040096515 0.0039570797 0.003908706 0.003859732 0.003953682 0.0038731247 0.0038655289 0.0039069066 0.0038563337 0.003923698 0.003902509 0.003904708 0.0038815204 0.0038773224 0.003861731 0.0039470852 0.0038983112 0.0038845188 0.0038711259 0.0038605316 0.0039055075 0.0039254967 0.0038757233 0.0038187539 0.0038987112 0.003827749 0.0038325465 0.0038425412 0.0038623305 0.003928495 0.003824551 0.0039220983 0.0038757233 0.003850337 0.003908706 0.0038873171 0.0038519362 0.004058026 0.003895113 0.0038931142 0.0039646756 0.003953682 0.0039196997 0.0038621307 0.0038741243 0.0039003103 0.003904308 0.0038247507 0.0039013096 0.003859532 0.003872725 0.0038755236 0.003880121 0.0039101047 0.003891115 0.003932893 0.0038995107 0.003939689 0.0038419415 0.0039266963 0.004574549 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014916372 1.599611e-06 1.599611e-06 5.698614e-06 5.4986626e-06 1.599611e-06 1.5196304e-05 1.0597422e-05 5.398687e-06 1.9995137e-07 4.998784e-07 6.998298e-07 2.9992705e-06 5.998541e-07 6.998298e-07 2.6993434e-06 0.00020285067 1.9995136e-06 1.1697155e-05 1.9995136e-06 2.2294578e-05 8.697884e-06 0.000104374616 5.5086603e-05 0.0 0.0 0.0 0.0 9.9975686e-08 9.9975686e-08 1.9995137e-07 9.9975686e-08 0.00021984654 3.499149e-06 3.8990518e-05 3.3991732e-06 8.497933e-06 5.398687e-06 7.6081495e-05 3.9990275e-05 1.9995137e-07 9.9975686e-08 6.998298e-07 3.9990275e-07 2.899295e-06 2.9992705e-07 3.499149e-06 5.698614e-06 0.00049697916 6.1984924e-06 0.00010647411 5.048772e-05 3.6691075e-05 1.599611e-05 0.00012936853 7.0382885e-05 1.5896134e-05 1.5696183e-05 6.898322e-06 3.799076e-06 1.8595478e-05 1.5596206e-05 6.398444e-06 2.829312e-05 0.00026783487 7.2982252e-06 1.6995866e-05 9.697642e-06 3.599125e-05 1.8195575e-05 9.567673e-05 4.7588426e-05 1.2996839e-05 4.8988086e-06 1.9995136e-06 6.0985167e-06 1.4096572e-05 1.7295793e-05 2.3094384e-05 3.449161e-05 0.00035341404 6.4984197e-06 2.2894432e-05 3.7890786e-05 3.639115e-05 8.397958e-06 4.4789107e-05 3.2792024e-05 3.9290444e-05 3.7590857e-05 5.5986384e-06 1.1897107e-05 5.028777e-05 1.3296766e-05 3.2392123e-05 8.557919e-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 0.00055166584 5.46867e-05 7.158259e-05 6.3784486e-05 0.00018655464 0.00013656678 6.648383e-05 0.000104874496 0.0002783323 3.0092682e-05 3.339188e-05 4.618877e-05 0.00017025859 7.35821e-05 0.000117171505 0.00026703507 0.0009353725 0.00013956605 0.00018275555 0.00019875166 0.00035101463 0.0003898052 0.00023244348 0.00028313114 0.00061205117 6.768354e-05 8.05804e-05 0.00012886866 0.0003754087 0.00016785918 0.00032552084 0.0006479424 0.061724987 0.061897747 0.06176358 0.061905544 0.06191704 0.061782476 0.061659906 0.06187965 0.061913442 0.061785974 0.061726887 0.061701596 0.061950333 0.061704993 0.06196553 0.061868552 23449.0 5.72421 134227.0 0.012940764 0.010251291 0.010772795 0.009938388 0.0106535945 0.009945838 0.01010229 0.010109739 0.010027789 0.01020659 0.010079939 0.010415192 0.009953288 0.009841537 0.010512043 0.010295991 0.0095211845 0.010571644 0.010728095 0.010109739 0.009901138 0.01019914 0.010437543 0.009916037 0.009811737 0.010258741 0.010012888 0.009789387 0.009916037 0.009848987 0.010251291 0.010035239 0.010005439 0.0108100455 0.010065039 0.010474793 0.010303441 0.010348141 0.010355592 0.01020659 0.010780245 0.010489693 0.009960738 0.009826637 0.010608894 0.009901138 0.010012888 0.010333242 0.010355592 0.010288541 0.010042689 0.010750446 0.010325791 0.010325791 0.009938388 0.009856437 0.009528634 0.01015444 0.010348141 0.0105567435 0.0095807845 0.009893687 0.010519493 0.010862196 0.009968189 0.011815805 0.010020339 0.0109664975 0.01130175 0.013328168 0.010459892 0.010616344 0.010325791 0.011376251 0.009975638 0.009908588 0.011465652 0.010593994 0.011339 0.011704054 0.010526943 0.009759586 0.011897755 0.011316651 0.012374559 0.010497143 0.0106535945 0.010407742 0.01026619 0.010780245 0.010444992 0.0096180355 0.010377942 0.010504593 0.01017679 0.010065039 6.582216 0.0 1.0 0.0 58.0 5002679.0 81920.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 37888.0 1024.0 4096.0 8.0 3.0 0.0 1.0 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 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 0.0 0.0 0.0 0.0 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.11619 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.573129 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 4.467417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3664.0 0.0 0.0 0.0 0.0 0.0 -588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37444.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 11264.0 69632.0 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 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.10969699 0.013508362 0.013698201 0.0076170843 0.010064593 0.00402113 0.00546767 0.0031550888 0.010036352 0.005044063 0.0036289012 0.0026859832 0.006434122 0.0022717896 0.005158594 0.006302333 0.0061124945 0.0024882997 0.003359048 0.001910939 0.00480245 0.004245485 0.0014308508 0.0012425809 0.0035002502 0.0012770972 0.001335147 0.0015375371 0.0027001034 0.0014873318 0.002205895 0.0014041793 0.0057987114 0.0013335781 0.0013131822 0.0013241646 0.005783022 0.0027032413 0.0014920385 0.0010590178 0.0020788128 0.0011735487 0.0011704109 0.002209033 0.0019093701 0.0011547217 0.0018560269 0.0010668625 0.014281837 0.0015328303 0.0021274493 0.0049813064 0.0017163934 0.001834062 0.0012488567 0.0013021998 0.0021588276 0.0029699567 0.0015281236 0.0041450746 0.0020364523 0.0018528891 0.0011970825 0.001168842 0.0032147076 0.002246687 0.0023973028 0.002375338 0.0036492972 0.011227159 0.0030860566 0.0018779917 0.003853256 0.0017148246 0.001317889 0.0013304403 0.0029244584 0.006223887 0.0037544146 0.0031880361 0.010459959 0.006467069 0.0046283 0.005935207 0.00454201 0.0078116297 0.0070946356 0.0057437993 0.0035630069 0.004132523 0.0029024936 0.0036853822 0.0038124644 0.0045514237 0.004711453 0.0042501916 0.0036806755 0.004711453 0.0032680507 0.003950529 0.0048118634 0.0075402074 0.0064623626 0.0034531828 0.006955002 0.0050424943 0.0071997526 0.0030076108 0.0051287846 0.0035096637 0.004612611 0.0053860866 0.0047334176 0.0026750008 0.0053860866 0.0048730513 0.013448743 0.010783155 0.0038799278 0.0035645757 0.0043427576 0.0031770538 0.003191174 0.002615382 0.0042392095 0.0052433154 0.0034657342 0.0029636812 0.0052009546 0.0042094 0.0032554995 0.010806689 0.0054127583 0.0097508095 0.004022699 0.0029730946 0.0042172447 0.013021998 0.0038265847 0.030874686 0.003318256 0.009251894 0.0031378309 0.002631071 0.0056512333 0.0029338717 0.0027361885 0.0025730212 0.002966819 0.0031927428 0.0028224788 0.0027142237 0.0031472442 0.0027408951 0.0027879626 0.0026451913 0.0029730946 0.002908769 0.002707948 0.0021431383 0.0014904697 0.001834062 0.0010480355 0.0013476983 0.0013335781 0.0014481089 0.0009193844 0.001204927 0.0014481089 0.0010213639 0.0010841205 0.0016222586 0.001520279 0.0008581967 0.00094919384 0.001335147 0.0016206896 0.0008958507 0.0009774343 0.0010323463 0.0014732116 0.0014857629 0.0015281236 0.0017399272 0.0022388422 0.0010339152 0.0009915546 0.0010150883 0.0016583436 0.0013618185 0.0013069066 0.0012896485 0.00775358 0.0026938277 0.0034014087 0.0028224788 0.0024443702 0.0010888273 0.0019784023 0.0040336815 0.0022859098 0.0026671563 0.0012551323 0.001225323 0.0016285342 0.001002537 0.0013414227 0.0011217745 0.0023235637 0.0014120239 0.0013869212 0.0015579329 0.0017556163 0.0011390325 0.0013429916 0.0012959241 0.0022498246 0.0011013786 0.0009931234 0.0015532263 0.0017069799 0.00144654 0.0010464665 0.001074707 0.0022498246 0.0013508361 0.0011060854 0.0010166572 0.0018826985 0.0013147511 0.00096488296 0.0011704109 0.009716293 0.0024726107 0.00090526417 0.004102714 0.003897186 0.0010276396 0.0009946923 0.00090055744 0.002651467 0.0012347364 0.0009946923 0.0016771705 0.002445939 0.0008566278 0.0018528891 0.0016489301 0.004000734 0.003004473 0.0015846045 0.0016567747 0.0056104413 0.0020599859 0.002745602 0.037785757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025805782 6.1330014e-05 5.110834e-05 2.4374749e-05 3.6955265e-05 2.516103e-05 2.516103e-05 1.8870773e-05 1.7298209e-05 2.0443338e-05 2.830616e-05 2.7519876e-05 9.671271e-05 4.4031804e-05 0.00012895028 3.3810134e-05 0.00435679 0.00021858646 0.00022330415 0.0005393896 0.00056612317 5.268091e-05 3.4596418e-05 3.223757e-05 4.639065e-05 4.324552e-05 2.830616e-05 2.9878724e-05 0.00017455465 1.6511925e-05 3.0665007e-05 4.7963214e-05 0.006194331 0.0008130158 0.00024060236 0.00012659143 0.0009396072 0.00024217492 0.00021780017 8.255963e-05 5.8184884e-05 6.2902574e-05 6.6833985e-05 0.000128164 0.0001989294 8.255963e-05 9.27813e-05 0.0001147972 0.021867294 0.002321105 0.0014436141 0.0013531917 0.0012218825 0.0005417484 0.0014978676 0.0009065834 0.00039156855 0.000507152 0.00036876634 0.00027913018 0.00050951086 0.00072416593 0.00077291543 0.00072023453 0.016548881 0.0016802851 0.0018697791 0.0012171648 0.0020356847 0.001451477 0.007149664 0.0040171156 0.00037427034 0.00088063604 0.0006431788 0.0003042912 0.00047412817 0.00057791744 0.00072731107 0.00030586377 0.008870835 0.00043795918 0.0025436229 0.0011605525 0.001824961 0.0013877881 0.0073596016 0.0042215493 0.00030665006 0.0011479721 0.00032080314 0.00014939361 0.00015725644 0.00032001687 0.00016511926 0.00022173158 0.011096801 0.0006856381 0.0018312513 0.0017494779 0.0018273199 0.0029642838 0.0041248365 0.002117458 0.001066985 0.0011660565 0.00090343825 0.0007194482 0.0007037226 0.00082952774 0.0006958598 0.0013343209 0.010104513 0.0013783528 0.0014145217 0.0015536937 0.0021308248 0.002482293 0.0030208963 0.0022165296 0.005555084 0.0010772066 0.0009356758 0.0011110167 0.0016857891 0.0014003686 0.0013154502 0.00448574 0.065607384 0.01354607 0.008955754 0.012667006 0.021237483 0.026774481 0.013767801 0.019859916 0.052008636 0.010407231 0.004775878 0.00711035 0.014375597 0.0065929764 0.012938274 0.03143635 0.060745806 0.019695584 0.014580817 0.02526482 0.022429487 0.04828795 0.04106516 0.044870768 0.05612089 0.032291822 0.012242414 0.011683367 0.020299448 0.012659144 0.018101789 0.03309069 0.0005024343 0.00021150992 0.00020443337 0.00035697213 0.00016511926 0.0001769135 0.0004277375 0.00027677134 0.00014153079 8.570476e-05 0.00012108746 0.00010536182 0.00010300297 0.00011715605 0.00010693438 0.000117942334 4800.0 13.150833 63124.0 0.032507446 0.004705025 0.00405551 0.003374311 0.004039668 0.010756606 0.0035168873 0.0029465812 0.0045624487 0.0045941323 0.0030574743 0.003469362 0.006241683 0.0034852037 0.0076357643 0.00422977 0.012404157 0.0056872186 0.0060991067 0.0044673975 0.004166403 0.0035168873 0.0045307647 0.003564413 0.0053386986 0.0053545404 0.005291173 0.003976301 0.003374311 0.004293137 0.0033109435 0.0033109435 0.003659464 0.0071446677 0.004023826 0.008586274 0.007303086 0.0064951526 0.0073347697 0.0063050506 0.0065109944 0.0069070403 0.0031208415 0.0036753058 0.0051485966 0.0069070403 0.009790254 0.010281351 0.013180407 0.010297193 0.011833851 0.015794309 0.011517014 0.009140739 0.0112793865 0.013750713 0.008839744 0.009204106 0.008823902 0.008665483 0.010170458 0.00898232 0.009029846 0.0110417595 0.008380331 0.025489513 0.0111209685 0.019263672 0.021354795 0.048491858 0.016332932 0.014115075 0.014051707 0.029069768 0.009330841 0.00958431 0.02244788 0.014289335 0.025267728 0.03108168 0.016380457 0.008617958 0.028119257 0.021988466 0.03882834 0.01847158 0.008522907 0.01131107 0.015319055 0.011231861 0.0074298205 0.0069545656 0.008380331 0.007778341 0.0076516066 0.00673278 6.2310734 0.0 11.0 5.0 7.0 637383.0 794624.0 1.0 0.0 340.0 0.0 1.0 1.0 0.0 0.0 1173824500.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 411136.0 1024.0 4096.0 4.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -200704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -411136.0 0.0 14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -7.6341567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6415114 0.0 5.8633823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 -354772.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -410842.0 0.0 13896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 2.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 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 -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 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 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 -2.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 -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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -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 1.0 0.0 0.0 0.0 1.0 -2.0 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 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 -1.0 -2.0 0.0 0.0 -4.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 3.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 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 -1.0 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 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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -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 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 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 -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 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 -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 1.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 406916.0 13896.0 778240.0 0.0 0.0 9560.0 627712.0 0.0 0.0 56.0 414808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1420.0 4096.0 0.0 0.0 0.0 0.0