Input: 0.14263998 0.0086426595 0.0041918517 0.003428678 0.0062498054 0.0039540604 0.0020318092 0.0019633353 0.007894426 0.0015126521 0.0017043792 0.0015076722 0.004580286 0.0013744592 0.0012325314 0.003895546 0.0061726165 0.0015076722 0.001188957 0.0008976314 0.0024750226 0.001985745 0.00076939835 0.0008279125 0.00231193 0.00075694855 0.00083289243 0.00071337423 0.0016209654 0.00060630584 0.000596346 0.0005677114 0.003898036 0.0005888761 0.0006548601 0.00054530177 0.004173177 0.001323415 0.00046686793 0.0005639765 0.001188957 0.00065610505 0.00058638613 0.0009474307 0.0011105232 0.0023530144 0.0006797597 0.0005204021 0.0056621744 0.002697874 0.003251891 0.010111737 0.0033452644 0.0018799215 0.002777553 0.0015885959 0.0038756265 0.0019471506 0.00071835413 0.0014902424 0.0016757447 0.0009810452 0.0004681129 0.00053160696 0.0118385255 0.0039503253 0.0049288804 0.008876716 0.003890566 0.032743003 0.0032867503 0.0027240189 0.0034025335 0.003568116 0.0022011267 0.0023679542 0.0027252638 0.0044122133 0.0011665473 0.0015400418 0.009110772 0.0021563075 0.0020679138 0.009811697 0.0032232562 0.013916399 0.003240686 0.0021077532 0.0019371907 0.006551091 0.0027576333 0.0032780354 0.0015749012 0.0046636993 0.002391609 0.0036253852 0.0057978774 0.004435868 0.0017155841 0.0032855053 0.009312459 0.006190046 0.003962775 0.0015624514 0.007895671 0.0042690407 0.0037361884 0.0013993589 0.0035245416 0.0017628933 0.0044097234 0.0040822932 0.0031946218 0.0017330138 0.0049176756 0.0038756265 0.01024495 0.0055899653 0.0017056242 0.0011254629 0.0028547419 0.0012711257 0.0005340969 0.00059385604 0.0016632949 0.0025335366 0.0010694389 0.0008802017 0.00527623 0.0011653024 0.0010955834 0.009119487 0.0031410875 0.0032469109 0.0010408042 0.0006224906 0.0026791994 0.015283389 0.002247191 0.052050173 0.0012038968 0.011069127 0.00086277194 0.0006847396 0.0026729745 0.00044694825 0.00073204894 0.00064988015 0.001130443 0.0009424508 0.001521367 0.0005714464 0.0011814871 0.00059261103 0.0005029724 0.0007171091 0.0009623704 0.00047931774 0.0004681129 0.00042204862 0.00090261135 0.0033502444 0.0004693579 0.002567151 0.0014329733 0.0008229326 0.0005677114 0.0004556631 0.0010532541 0.00046064303 0.00051293225 0.0004905226 0.0008528121 0.00045317315 0.0007469887 0.00066232996 0.0013333749 0.00068971957 0.0017417286 0.0005403218 0.00088393665 0.0006747798 0.0007171091 0.001589841 0.003170967 0.0025509663 0.004681129 0.0008291575 0.0010071897 0.0004830527 0.000859037 0.00071959913 0.012075072 0.0011565875 0.0023019703 0.010416757 0.004386069 0.0010657039 0.0035805658 0.0033900838 0.0018824115 0.0017765881 0.00098976 0.0013109652 0.0016931744 0.0008988764 0.0009984749 0.0009486757 0.0028933364 0.0011578324 0.0029941797 0.0013620094 0.0018251424 0.0007731333 0.0016147406 0.00088144664 0.0033900838 0.00065859506 0.0010930934 0.0017989977 0.0015064272 0.0007233341 0.0005664664 0.0008478322 0.002455103 0.00066232996 0.00088393665 0.00099723 0.002448878 0.002447633 0.0005540166 0.0006984344 0.02779047 0.0060655484 0.0011005633 0.0059385602 0.0065759905 0.0010495192 0.0006847396 0.0007594385 0.0072906096 0.0009835351 0.0018288774 0.000925021 0.009197921 0.002184942 0.0041233776 0.0026107256 0.010134147 0.0030738586 0.0030937782 0.00363659 0.014987083 0.004022534 0.0043300446 0.06938902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017872466 0.0 0.0 0.0005207086 0.00024632324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010978533 0.0 0.0 0.004841031 0.003337524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00062734477 0.0 0.0 0.00037353826 0.00027625618 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005543832 3.7416187e-06 1.808449e-05 6.734914e-05 0.00014966475 7.607958e-05 6.2360314e-06 7.4832374e-06 1.5590078e-05 0.0 0.0 1.8708093e-06 8.106841e-06 3.1180157e-06 4.988825e-06 0.00036044262 0.0061306423 0.00020703624 0.00021451947 0.0005537596 0.0019213213 0.0004907757 0.002460738 0.0010707265 0.00019581139 0.00010102371 9.291687e-05 7.545598e-05 0.0006753622 0.0003822687 0.00040284763 0.0029047434 0.013396866 0.0006448056 0.0009509948 0.0020928122 0.0041519497 0.0036287466 0.007004934 0.003227146 0.0004564775 0.0002369692 0.00031242517 0.00033238047 0.0020940593 0.0011106372 0.0011280981 0.009039127 0.02088634 0.0013101902 0.0012403466 0.0020896941 0.0073572695 0.0025754808 0.0067286775 0.00327454 0.0024052372 0.0009803041 0.0009821749 0.0013432412 0.004080859 0.0026646561 0.0026889767 0.009634668 0.020338193 0.0015708563 0.0012584311 0.0022805165 0.009481262 0.0040671397 0.005919241 0.0034273227 0.005845032 0.0014218151 0.0017891173 0.0023185564 0.0038850475 0.0017828813 0.0040683867 0.009728832 0.0744763 0.009878498 0.00732609 0.010144152 0.04232519 0.03079477 0.021437604 0.0140398005 0.051796477 0.0053243237 0.0060932264 0.009200017 0.016892785 0.007117806 0.027613146 0.06145297 0.06063605 0.010193417 0.009175696 0.011744942 0.028296616 0.030798512 0.017782044 0.014702068 0.050133325 0.005922359 0.0065235123 0.009208124 0.021231815 0.011006596 0.02524096 0.04883436 0.00023509839 4.8017442e-05 8.668083e-05 5.2382664e-05 9.104606e-05 9.97765e-05 4.365222e-05 6.610193e-05 0.00013532188 2.9309347e-05 3.367457e-05 2.9309347e-05 8.4810024e-05 6.0489503e-05 7.358517e-05 0.000107883345 5347.0 15.551337 83153.0 0.0056281793 0.00013228627 0.00057724916 9.62082e-05 0.003463495 0.0005892752 0.00013228627 0.00018039036 0.00040888484 0.00042091086 0.00075763953 0.0006013012 0.0005171191 0.014731879 0.0011665244 0.00048104097 0.025302755 0.017137084 0.026493331 0.011965894 0.02165887 0.0139381625 0.022813369 0.010991787 0.025266677 0.014058422 0.0008538477 0.00052914507 0.000986134 0.0005531971 0.00012026024 0.00014431229 0.0014070448 0.008815076 0.0076485514 0.014996452 0.0073719528 0.01666807 0.0048825657 0.0031748705 0.0050870082 0.018183349 0.002537491 0.0041249264 0.0070472504 0.006890912 0.004581915 0.009524611 0.013336861 0.0027058555 0.0061813765 0.021153776 0.013505225 0.0064700013 0.0060971943 0.0036078072 0.0028742198 0.0055319713 0.0015754092 0.0030906883 0.0012026024 0.0028862457 0.003006506 0.022933628 0.00026457253 0.031508185 0.012771638 0.027575674 0.026589539 0.054501943 0.011557009 0.010354407 0.019037196 0.03563311 0.0076485514 0.00692699 0.02447296 0.012158311 0.038302887 0.03515207 0.019169483 0.0028742198 0.03948144 0.029175134 0.042187292 0.011208255 0.009873366 0.005940856 0.014082475 0.006902938 0.0010823422 0.0003006506 0.00056522316 0.00026457253 0.00031267662 0.00032470265 5.7729163 0.0 2.0 14.0 4.0 803225.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5767336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.056538034 0.008294821 0.006163785 0.0056421305 0.0057516266 0.0049624303 0.004196993 0.0054200403 0.005039904 0.005621471 0.0037486805 0.0044696997 0.004950035 0.0031753771 0.0043209507 0.0046349764 0.005037838 0.003764175 0.0049324743 0.004160839 0.004360204 0.00317641 0.004104025 0.0038292527 0.0050750254 0.0033468516 0.00317641 0.002935726 0.0041391463 0.0034336217 0.0037899995 0.0037910326 0.006163785 0.003819956 0.0034863038 0.0030204302 0.0048818584 0.004162905 0.0038437145 0.003723889 0.0047248453 0.0038943305 0.0033303238 0.0031072004 0.0043695006 0.003715625 0.003721823 0.0035834038 0.0055109425 0.003947012 0.0030937719 0.0029037036 0.003673273 0.0030865408 0.002689877 0.0028623845 0.004174268 0.0033096643 0.0035110952 0.0033520164 0.004000727 0.0032394219 0.0035100623 0.0034532484 0.0065976363 0.003955276 0.003625756 0.003234257 0.004155674 0.0032259931 0.0035420845 0.00307931 0.004990321 0.003764175 0.0037135591 0.0035823707 0.0041339817 0.003128893 0.0035534473 0.0034615123 0.0051638614 0.0036247228 0.0036453826 0.0033272249 0.0039335834 0.0033871378 0.0033551154 0.0035420845 0.004644273 0.0036557124 0.003813758 0.0035028313 0.004113322 0.0033943686 0.0036918665 0.0037899995 0.005909672 0.003626789 0.0033406536 0.0029512206 0.004011057 0.0030472877 0.0032714442 0.00303076 0.0049737934 0.0031588494 0.0031960367 0.0030545185 0.0035741068 0.0028510217 0.0030948047 0.003188806 0.0045110187 0.0032879717 0.0032259931 0.0031443876 0.0038881325 0.003328258 0.0032910707 0.0036288549 0.0046225805 0.0032900379 0.0034811387 0.0031650474 0.0040379143 0.0031950036 0.0034646112 0.0033540823 0.008631571 0.00460502 0.0040182876 0.003520392 0.0043664016 0.0034408527 0.0030142325 0.0033964345 0.004540975 0.0038447473 0.002974979 0.0031867397 0.0037300868 0.0028035047 0.002841725 0.002981177 0.005222741 0.0032166962 0.0034945675 0.003027661 0.0036660421 0.003185707 0.0033024335 0.003274543 0.004542008 0.0028489558 0.0030421228 0.0027115697 0.003519359 0.003230125 0.002980144 0.0031526515 0.0050140796 0.0034222591 0.0032766091 0.0028004057 0.003765208 0.0030162984 0.0030607164 0.003182608 0.0041329484 0.0029997707 0.003129926 0.0030131994 0.0036505475 0.002841725 0.0029160995 0.003043156 0.0046638995 0.0031175304 0.0038416486 0.0028613515 0.003573074 0.0031588494 0.0029884079 0.0031206291 0.004255873 0.0031495525 0.0033365218 0.0031681461 0.0036484813 0.0032053334 0.003334456 0.0033416867 0.006710231 0.004062706 0.003723889 0.0033354887 0.004118487 0.0032621473 0.0033014005 0.003236323 0.0043302476 0.0033354887 0.0031247612 0.003078277 0.0036371187 0.002987375 0.0030834419 0.002793175 0.004252774 0.003275576 0.0031010027 0.0030028697 0.0037083942 0.003027661 0.0029408908 0.0029563855 0.0039769686 0.0031154642 0.0027353282 0.002635129 0.0035379527 0.0029563855 0.0035927005 0.002888209 0.004956233 0.0032611142 0.0033974675 0.0029698142 0.003810659 0.0030700131 0.0031991357 0.0029026708 0.004440776 0.0054417327 0.0034677102 0.0031278601 0.0037920654 0.003084475 0.0032414878 0.0031877728 0.0046091517 0.003323093 0.003415028 0.0030421228 0.0037404166 0.0031010027 0.003329291 0.0032528506 0.004360204 0.003043156 0.003182608 0.0028634174 0.00401209 0.0030979037 0.004224884 0.004503788 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004570395 0.00029172737 0.00027310647 0.000265865 0.00030517578 0.00023793367 0.00032896915 0.00030362405 0.00032534843 0.00035121077 0.00032431394 0.00035276252 0.0005182816 0.00015724312 0.0001877607 0.0007401806 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09907713 0.06201534 0.062438447 0.05532475 0.060614634 0.059559967 0.054963194 0.05448577 0.06049153 0.05319524 0.052174196 0.05297955 0.056443553 0.050614696 0.05665614 0.053881112 4042.0 5.702375 23049.0 0.017137403 0.010586143 0.009414725 0.008677166 0.013449607 0.012451733 0.011887717 0.011497245 0.012538505 0.009891969 0.008503622 0.00885071 0.013796694 0.010499371 0.011670789 0.0098485835 0.016616773 0.011887717 0.008763937 0.0074623628 0.009891969 0.008547009 0.007896221 0.008373465 0.010239056 0.008460237 0.009544883 0.008894095 0.011410473 0.009024253 0.009718426 0.009241181 0.018222049 0.010803072 0.010369213 0.0089808665 0.010803072 0.00885071 0.010759686 0.00833008 0.0141871665 0.011627402 0.009761812 0.008937481 0.011497245 0.009284568 0.011627402 0.009544883 0.014707796 0.009544883 0.009891969 0.009067639 0.012148033 0.009371339 0.009544883 0.009761812 0.013623151 0.009284568 0.010542757 0.009544883 0.011106772 0.0098485835 0.010412599 0.0107163 0.017874962 0.010976615 0.009631654 0.008199922 0.013059135 0.008199922 0.009327954 0.008286693 0.01540197 0.009284568 0.008894095 0.008677166 0.011323702 0.008156536 0.010022127 0.007852836 0.013145907 0.007982993 0.00863378 0.008807324 0.011367087 0.009414725 0.008460237 0.008026378 0.011106772 0.008937481 0.011931104 0.008503622 0.011280316 0.009024253 0.010022127 0.008807324 6.555063 0.0 0.0 0.0 14.0 968074.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.18644483 0.025281504 0.008337537 0.0076235794 0.0043931548 0.0016022313 0.001537326 0.0031785003 0.0069374386 0.0014520221 0.006151159 0.0011738569 0.0058303415 0.0032267158 0.00142606 0.0023885113 0.0032489689 0.0024960686 0.0007603181 0.0006212355 0.00162263 0.0028910632 0.0006267988 0.0011664391 0.0015095095 0.0013759902 0.0032248613 0.0012628698 0.0030690888 0.0013370472 0.0019249028 0.0006750141 0.009049639 0.004619396 0.0011942557 0.014878127 0.00089383736 0.001592959 0.0018043646 0.0007603181 0.0010662997 0.0007751536 0.0006267988 0.00082336884 0.00094205263 0.019562427 0.0016393199 0.00052109605 0.0015707059 0.0012517432 0.0008994006 0.002907753 0.0008493309 0.0007529003 0.00071395724 0.000593419 0.001340756 0.0019249028 0.00073621044 0.0017005163 0.00059712783 0.0006750141 0.0005563303 0.0007566092 0.0023458593 0.0017691304 0.0007454826 0.0016207756 0.002327315 0.0066796723 0.0017839659 0.00094761595 0.0013389016 0.0010755719 0.0012814141 0.00089754624 0.0016782631 0.006816901 0.002036169 0.0016189212 0.0057487465 0.0018525799 0.0012350533 0.0032304246 0.0009772868 0.0033287096 0.0040204134 0.0036736345 0.000678723 0.0012461799 0.0011497493 0.0011961102 0.0010681541 0.0021826692 0.002203068 0.0015540159 0.00084562204 0.0027074742 0.0011108061 0.0018006557 0.0030078925 0.0063347477 0.0017190606 0.0012239267 0.003757084 0.0030727978 0.004076047 0.0006601786 0.0029967658 0.0022104857 0.0031080318 0.0033991782 0.0034529567 0.00077700795 0.004016705 0.0029262973 0.007651396 0.0071080467 0.001494674 0.008634246 0.0013259206 0.0008029701 0.00054891256 0.0009086728 0.0009086728 0.0017450227 0.0009031095 0.0011182239 0.004137243 0.0011070973 0.00042837433 0.004875308 0.0013166483 0.003350963 0.00072137493 0.00064534316 0.0022216123 0.0048085484 0.00092536275 0.01735565 0.0009680147 0.007451117 0.0007399193 0.0012851229 0.0006601786 0.00035976025 0.0003467792 0.0008215144 0.0009235083 0.00043579206 0.00044506424 0.000990268 0.0008363499 0.0007250838 0.0005544759 0.00074919144 0.00096986914 0.00057487463 0.0005099694 0.0005044061 0.0008864196 0.0012461799 0.00058971014 0.000563748 0.0006527609 0.0004543364 0.00047288075 0.00044135537 0.00055818475 0.00075846363 0.00048400735 0.00039314007 0.0011645848 0.000678723 0.0009346349 0.00060269114 0.0014538765 0.0005822924 0.0010941162 0.0008474765 0.0005952734 0.00079740677 0.0006064 0.0006713052 0.0023050618 0.00079740677 0.0007306471 0.0012999584 0.0006008367 0.00061381777 0.000691704 0.0008956918 0.004482168 0.0011163695 0.0020120612 0.0022512833 0.0012832686 0.0013945346 0.0023458593 0.0016986618 0.0015058006 0.0017042252 0.0006286532 0.00082893216 0.02232739 0.0005841468 0.0016040857 0.0012276355 0.0025665371 0.0009439071 0.00091609056 0.00043579206 0.0012313444 0.00052665937 0.0014149334 0.0030394178 0.0021659792 0.0003467792 0.00040241226 0.00073250156 0.001045901 0.034477644 0.0011237873 0.00037645016 0.0013778447 0.0004320832 0.00040797555 0.00036903244 0.0010755719 0.00027631072 0.00061381777 0.00048400735 0.011846126 0.0024923598 0.0004432098 0.0017338961 0.0036180015 0.013266623 0.0007566092 0.03544195 0.0045248196 0.0034511022 0.00035419696 0.0009346349 0.0044376613 0.00059898227 0.001861852 0.0015484527 0.0030282913 0.0005006973 0.00042095658 0.0015132184 0.004241091 0.03140299 0.0016541554 0.14790411 0.00046223958 7.719494e-05 2.6971726e-05 1.1160714e-05 2.8831846e-05 0.0 1.7671131e-05 2.9761904e-05 1.2090773e-05 1.3950893e-05 0.00010044643 2.9761904e-05 4.092262e-05 0.00036458333 0.015130208 0.07127325 0.0019903274 5.394345e-05 1.674107e-05 1.2090773e-05 2.2321428e-05 8.370535e-06 8.835566e-05 2.8831846e-05 2.5111607e-05 1.5811012e-05 4.6502977e-05 5.1153274e-05 4.092262e-05 9.4866075e-05 0.003673735 0.014783296 0.0126348585 0.0013569569 0.018077567 6.696428e-05 8.4635416e-05 0.00012090774 8.835566e-05 0.00010881697 7.4404765e-05 1.7671131e-05 1.1160714e-05 1.2090773e-05 0.00010416667 0.0054659597 9.300596e-06 0.0017661831 0.0028943452 0.0008854167 0.009627976 7.4404765e-05 0.00011625744 6.510417e-05 6.4174106e-05 2.2321428e-05 1.7671131e-05 1.674107e-05 2.139137e-05 3.999256e-05 0.00012834821 0.001734561 0.0033017113 0.0019419643 0.007063802 0.0012360491 0.004906064 0.00030598958 0.00036830356 0.0003655134 0.0005766369 0.00025204613 0.00019252232 0.00023530507 0.00013485864 0.00022414434 0.00017950148 0.005092076 0.008102679 0.016478796 0.0060732886 0.0017317708 0.003813244 0.00026971727 0.00059244793 0.0010035342 0.00044642857 0.00033389137 0.00020275297 8.4635416e-05 7.2544644e-05 6.138393e-05 0.0003004092 0.006478795 0.0030868675 0.007829241 0.029187128 0.0021521577 0.0055078124 0.00083519344 0.0012462798 0.0009198289 0.0011644345 0.0009979538 0.0010249256 0.0011104911 0.0004185268 0.0009468006 0.000500372 0.005201823 0.005864025 0.021017484 0.043505393 0.0011300223 0.0036309524 0.0010063244 0.0019596354 0.0012732515 0.013114769 0.007061942 0.0009235491 0.0003236607 0.00016834078 0.0002548363 0.0005859375 0.00036644345 0.0074469866 0.0048670014 0.021976376 0.000500372 0.0014778646 0.0005078125 0.0012276786 0.0007952009 0.0030738467 0.0021493675 0.001063058 0.000296689 0.00036272322 0.00053571427 0.00031622025 0.0023242189 0.0024627976 0.0028348214 0.028556548 0.0016387649 0.0019122023 0.0011979167 0.0022991071 0.0015187872 0.004207589 0.004643787 0.0012788319 0.0011811756 0.0017531622 0.0013216146 0.0046670386 0.004097842 0.0011932664 0.0071037947 0.014735864 0.00096540176 0.0018015252 0.0013792783 0.0028989955 0.0011337425 0.0033705358 0.0049590776 0.003482143 0.0007217262 0.00085565477 0.0015364584 0.0008565848 0.0089546135 0.0006194196 0.006967076 0.011634114 0.0009728423 0.0010100446 0.0007924107 0.0012704614 0.0008816964 0.002156808 0.0034802828 0.002126116 0.0007840402 0.00062779017 0.001156064 0.0015894717 0.0028338914 0.0013346354 0.0035398065 0.009226191 0.001750372 0.0013950893 0.0012081473 0.0009737723 0.0009105283 0.0011216517 0.0012695312 0.0015280878 0.0007310268 0.0010574777 0.00096168154 0.0015904017 0.0015773809 0.0013402158 0.0038346355 0.06591518 0.01093099 0.005721726 0.007612537 0.017663691 0.022521392 0.010042783 0.0155636165 0.035499442 0.0034979538 0.0039276415 0.005826823 0.031925224 0.005482701 0.018768601 0.03624256 0.01015904 0.0024860492 0.001827567 0.0025083704 0.004138765 0.0038643973 0.0021949406 0.0033807664 0.0050372025 0.0013811383 0.0013513765 0.001656436 0.004285714 0.0018294271 0.0025223214 0.008519345 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1827.0 24.32348 44439.0 0.033529107 0.04964108 0.0015526902 0.17529647 0.0012151488 0.0014401764 0.00054006616 0.0030828777 0.0016427012 0.00045005514 0.0011251378 0.001102635 0.0010351269 0.2301132 0.009023606 0.0016201985 0.005445667 0.0043205293 0.003037872 0.004748082 0.0033979162 0.002317784 0.0015301874 0.0011926461 0.003960485 0.006075744 0.0029253582 0.0017777177 0.0006075744 0.0014401764 0.0009001103 0.0038704742 0.009001102 0.0073584015 0.0024753031 0.01028376 0.008236009 0.002677828 0.0028128445 0.004365535 0.002407795 0.0056706946 0.005828214 0.006188258 0.010373771 0.008933594 0.0021827675 0.009991224 0.004523054 0.0020477509 0.0022727784 0.0068633407 0.0033754136 0.014739306 0.006818335 0.015459394 0.0013276626 0.0005625689 0.0053781588 0.0030153694 0.005108126 0.0011476406 0.0007875965 0.0033979162 0.0020477509 0.010868832 0.0025653143 0.0058507165 0.006638313 0.024280474 0.0041855127 0.006570805 0.0033754136 0.012331511 0.0028578502 0.00351043 0.0129840905 0.0076959427 0.011003848 0.012916583 0.009473661 0.002947861 0.01338914 0.008236009 0.0236729 0.0040279934 0.0028128445 0.060622428 0.0030828777 0.0020477509 0.00042755238 0.0006075744 0.00047255788 0.0005625689 0.00081009924 0.0015526902 4.7636237 0.0 0.0 0.0 5.0 539248.0 548864.0 1.0 49.0 290.0 0.0 1.0 0.0 0.0 0.0 1091599600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 234496.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -234496.0 0.0 298496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8247814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1896315 0.0 4.9997683 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -234181.0 0.0 298216.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -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 1.0 -2.0 0.0 1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 -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 1.0 3.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 -1.0 -3.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 2.0 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 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 -2.0 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 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 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 2.0 -1.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -3.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 2.0 -1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 3.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -3.0 1.0 -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 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 1.0 2.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 3.0 2.0 -3.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -3.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 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 1.0 0.0 1.0 -1.0 1.0 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 -1.0 -1.0 0.0 0.0 -2.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 1.0 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 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -3.0 0.0 -1.0 -1.0 -2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 2.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -2.0 1.0 -1.0 1.0 -1.0 -2.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 2.0 -1.0 1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 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 -1.0 -1.0 0.0 1.0 -1.0 1.0 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 1.0 0.0 0.0 -1.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 1.0 3.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 1.0 -2.0 -1.0 1.0 0.0 -1.0 1.0 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 1.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 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 0.0 0.0 0.0 1.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 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 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 1.0 -1.0 1.0 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 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -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 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 -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 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 1.0 -1.0 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 1.0 -2.0 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 -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 1.0 0.0 -1.0 0.0 0.0 1.0 1349.0 236928.0 320.0 228540.0 298216.0 249856.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 7312.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 35056.0 320.0 608.0 3216.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.08336096 0.005683298 0.0043719956 0.0039605484 0.008172701 0.0023502805 0.0013645836 0.0017405101 0.00752149 0.0011248194 0.0019773142 0.0015836273 0.0034425396 0.0012609818 0.0009916171 0.0056951386 0.00521265 0.0010448981 0.0009560965 0.00073113263 0.0021815577 0.0013438632 0.0008791352 0.00049136847 0.0017405101 0.0005120888 0.0005624097 0.00058313005 0.0016901892 0.00047064814 0.00044104762 0.0005002486 0.002776528 0.00044696772 0.00047952827 0.00048840843 0.004969926 0.0020601957 0.0003877667 0.00035224608 0.0012106609 0.0006482512 0.0005328092 0.0017789907 0.0010656184 0.00047952827 0.00037296643 0.00029304507 0.0029274905 0.0010123375 0.00055944966 0.0062753083 0.0006186507 0.0003285657 0.00031968553 0.00039664685 0.0009383362 0.0005328092 0.0009324161 0.0018352317 0.0011751403 0.0009028156 0.0003581662 0.0003996069 0.009510645 0.0014237846 0.0046443203 0.007971418 0.0053665726 0.01500746 0.001622108 0.0010537782 0.0013793838 0.00070449215 0.00074889296 0.0007814535 0.0010922588 0.0018085913 0.0014237846 0.000811054 0.006266428 0.001509626 0.0013675436 0.0054168934 0.0019506738 0.008279263 0.003703024 0.0022910796 0.0029570912 0.008797272 0.0025160434 0.0041411114 0.0010567383 0.0030784532 0.0031465343 0.0020069147 0.00044696772 0.0013172227 0.0002782448 0.00079625373 0.005271851 0.0015806673 0.004496318 0.0005535296 0.0039990293 0.0011218594 0.0026729263 0.00034040588 0.0012846622 0.00066305144 0.0011100192 0.0011721803 0.0011248194 0.0002604845 0.0020365152 0.001684269 0.008258543 0.0045851194 0.000636411 0.0006985721 0.00115738 0.00076073315 0.00070449215 0.00071929244 0.0016280281 0.0018589122 0.0012491416 0.0009294561 0.0026818065 0.0018766724 0.00042032727 0.008749912 0.0024479623 0.0046620807 0.00034632598 0.00047064814 0.0012017807 0.01159156 0.0005239291 0.04506974 0.00045584788 0.007631012 0.0002604845 0.00039664685 0.32906592 0.00026344456 0.00044104762 0.0002841649 0.0005387293 0.0005505695 0.0002664046 0.00023384404 0.00043808756 0.00035224608 0.0002427242 0.00091761583 0.0005091288 0.00026344456 0.00031376543 0.00026936465 0.00054464943 0.0016694688 0.00024568423 0.0005505695 0.00054168934 0.0005032087 0.00024568423 0.00021016363 0.0005239291 0.00023088399 0.00030488527 0.00031672546 0.0005920102 0.00033152572 0.00021608373 0.00036112624 0.0015954676 0.00047952827 0.0008495347 0.0003818466 0.0004972886 0.00029304507 0.0011781004 0.0019802742 0.0012580217 0.001450425 0.0013734638 0.0004232873 0.000520969 0.0002664046 0.00052984915 0.0006334509 0.011147552 0.0013675436 0.0017553103 0.010490421 0.0026462858 0.00045880792 0.0037326245 0.002362121 0.0012017807 0.0013675436 0.0015155462 0.0007104123 0.0007222525 0.00035520614 0.00066897157 0.0006482512 0.002187478 0.00085545477 0.0020483553 0.0014948258 0.0008761751 0.00045288782 0.0011810604 0.0008465746 0.0038628667 0.0008880153 0.0009945772 0.002083876 0.0013053826 0.0008850553 0.00050616876 0.0014208246 0.0014622653 0.00045880792 0.00067489163 0.00044104762 0.0014297047 0.0009679367 0.00034336594 0.00054760947 0.020957163 0.0044104764 0.0011484999 0.00577802 0.003762225 0.0005624097 0.00094721635 0.0007636932 0.004573279 0.0006068105 0.0012017807 0.0006304909 0.0028090884 0.00036112624 0.0016398684 0.0014326648 0.0057721 0.0012580217 0.0011692202 0.004451917 0.0112600345 0.004360155 0.0025338037 0.042376094 4.7637193e-05 1.4886624e-05 1.1909298e-05 2.6795922e-05 2.3818597e-05 5.3591844e-05 4.465987e-05 1.1909298e-05 6.5501146e-05 0.32261992 2.9773246e-06 8.931974e-06 4.7637193e-05 2.9773248e-05 5.3591844e-05 0.00010718369 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.931974e-05 2.9773246e-06 3.2750573e-05 4.465987e-06 4.465987e-06 7.145579e-05 1.3397961e-05 1.4886623e-06 8.931974e-06 0.002733184 0.0 1.4886623e-06 8.931974e-06 0.0 1.1909298e-05 6.401248e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00026647057 1.7863948e-05 6.698981e-05 1.1909298e-05 8.931974e-05 0.00017566216 4.1682546e-05 7.145579e-05 0.00013397961 0.0018980445 2.2329936e-05 7.443312e-06 7.741044e-05 1.935261e-05 2.6795922e-05 0.00012207031 0.0043975087 4.7637193e-05 7.294446e-05 0.00013993426 0.0018176567 0.00034834698 0.00084407156 0.00040045017 0.00010122904 3.2750573e-05 1.4886623e-06 9.3785726e-05 0.00025753857 0.00013397961 1.7863948e-05 0.00043915538 0.0060975607 0.00025456125 0.00040938213 0.00021585604 0.002346132 0.0008500262 0.00097507384 0.0007949457 0.00030219846 0.0013085342 6.1035156e-05 7.592178e-05 0.0005374071 0.00024414062 0.00012355897 0.00064756814 0.012096871 0.0006460795 0.0006684094 0.0004659513 0.0056197005 0.0013174661 0.0024354516 0.0016702792 0.0009899605 0.00021287872 0.00019948075 0.0005016792 0.00063417014 0.0008142983 0.00063714746 0.0015779821 0.004897699 0.00028880048 0.0011656226 0.00028880048 0.0015273676 0.0020469108 0.00061779487 0.0010137791 0.0018414754 0.00014886624 0.00016375286 0.00029922114 0.0014395365 0.00033494903 0.0005314525 0.0016866544 0.035055023 0.00460741 0.004187607 0.004422816 0.013070456 0.014091678 0.0066677188 0.006326815 0.021141984 0.0020871046 0.0018801806 0.0035504596 0.00959294 0.0042605517 0.0114954505 0.022195956 0.0705358 0.01333246 0.011571373 0.013913038 0.030842107 0.039482303 0.015432962 0.017919028 0.06402886 0.005837045 0.005039122 0.009144853 0.02847811 0.016046291 0.03173679 0.05958669 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 681.0 8.772393 5974.0 0.011884835 0.0005021761 0.00016739203 0.0005021761 0.008202209 0.0005021761 0.00066956814 0.00016739203 0.0018413124 0.0011717442 0.0036826248 0.00016739203 0.00083696016 0.0030130565 0.0018413124 0.00033478407 0.0025108806 0.0010043522 0.0011717442 0.0010043522 0.0013391363 0.00033478407 0.0005021761 0.0005021761 0.0010043522 0.0010043522 0.0015065282 0.0028456645 0.0016739203 0.0011717442 0.00066956814 0.00033478407 0.008369601 0.005356545 0.0073652496 0.018580515 0.010545698 0.0231001 0.0077000335 0.004854369 0.005189153 0.008704386 0.0015065282 0.0010043522 0.004017409 0.0063608973 0.005858721 0.006193505 0.005691329 0.013056578 0.007030465 0.019919652 0.024104452 0.020756612 0.015902244 0.008704386 0.0033478406 0.025610982 0.0071978574 0.024941413 0.0011717442 0.021760965 0.024439236 0.02226314 0.00083696016 0.046534985 0.005021761 0.018245732 0.021091396 0.05908939 0.010378306 0.011382658 0.026280548 0.037328422 0.0021760964 0.004017409 0.022932708 0.014395715 0.03615668 0.04134583 0.020756612 0.00016739203 0.06260462 0.039002344 0.05758286 0.010378306 0.005189153 0.0026782725 0.005356545 0.009708738 0.00083696016 0.00016739203 0.0021760964 0.00033478407 0.00066956814 0.0005021761 5.575819 0.0 0.0 0.0 1.0 337832.0 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 -5.3015714 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: 0.117222376 0.011474609 0.008056641 0.004952567 0.014160156 0.004673549 0.0056152344 0.005405971 0.016845703 0.0017089844 0.0016043527 0.0021275112 0.0113351 0.002580915 0.0021275112 0.014683315 0.00920759 0.0012207031 0.0009416853 0.0011160715 0.005126953 0.005301339 0.0013950893 0.0012555803 0.0025111607 0.0012904576 0.00052315847 0.0012555803 0.0016043527 0.000453404 0.0008719308 0.0019880023 0.0050223214 0.0009416853 0.0007672991 0.000906808 0.0038713727 0.0010463169 0.00038364955 0.00048828125 0.0012555803 0.00048828125 0.00059291295 0.0030343193 0.0014299665 0.00048828125 0.0007324219 0.00038364955 0.0043247766 0.0007672991 0.0014299665 0.010846819 0.0009416853 0.0017787388 0.0011509487 0.00031389509 0.0016741072 0.0029296875 0.000906808 0.0049874443 0.0008719308 0.0015345982 0.0015345982 0.00031389509 0.014962332 0.013811384 0.0011160715 0.0011858259 0.0026855469 0.016706195 0.004080636 0.002580915 0.0023367745 0.001499721 0.0007324219 0.0016741072 0.0020228794 0.0047433036 0.0023018974 0.0007324219 0.013009207 0.0031040737 0.0010114397 0.0053362167 0.0010114397 0.007986886 0.009137834 0.0067313057 0.0020926339 0.009277344 0.0002092634 0.0021623883 0.0007324219 0.009242467 0.0075683594 0.004080636 0.0011509487 0.00038364955 0.00013950893 0.00038364955 0.0014648438 0.001499721 0.010149275 0.00031389509 0.005405971 0.0004185268 0.009521484 0.00055803574 0.0011160715 0.0004185268 0.0007672991 0.003592355 0.0019880023 0.00062779017 0.0028948102 0.001499721 0.01311384 0.017089844 0.0027553013 0.0013950893 0.0007672991 0.00048828125 0.00017438616 0.00034877233 0.0010114397 0.0031389508 0.0024414062 0.0038364956 0.002232143 0.0021972656 0.00080217636 0.021484375 0.0027204242 0.013427734 0.00024414062 0.000453404 0.0025111607 0.016462054 0.001813616 0.050571986 0.0012904576 0.016950335 0.00034877233 0.00027901787 0.0013602121 0.00013950893 0.00013950893 0.00027901787 0.00062779017 0.000906808 0.0001046317 3.4877234e-05 0.00055803574 0.00059291295 6.975447e-05 0.00013950893 0.0010114397 0.00062779017 0.00024414062 0.00013950893 0.0010114397 0.0023367745 0.00038364955 0.0009765625 0.0014648438 0.0008370536 0.00013950893 0.00017438616 0.0011858259 0.00052315847 0.00013950893 0.0004185268 0.00055803574 0.00013950893 0.00027901787 0.00031389509 0.0012904576 0.00024414062 0.00013950893 0.00038364955 0.0006626674 0.00062779017 0.00052315847 0.0016043527 0.0013602121 0.0009765625 0.0013253348 0.00052315847 0.0006626674 0.00062779017 0.00048828125 0.00052315847 0.011369978 0.0039760047 0.003592355 0.010637556 0.004464286 0.000906808 0.00453404 0.006591797 0.0031389508 0.002232143 0.0009765625 0.00052315847 0.004603795 0.0013950893 0.002859933 0.0016043527 0.0016043527 0.0013950893 0.0015694754 0.00163923 0.0009765625 0.00031389509 0.0008719308 0.00062779017 0.0017089844 0.00069754466 0.00048828125 0.0016741072 0.0016043527 0.00031389509 0.0002092634 0.00048828125 0.0067313057 0.001813616 0.00069754466 0.0011858259 0.0024414062 0.0030343193 0.00055803574 0.00055803574 0.026960101 0.0038364956 0.0008719308 0.00718471 0.009660994 0.00055803574 0.0010811941 0.0011858259 0.0048828125 0.00226702 0.0007672991 0.003313337 0.0032435826 0.00059291295 0.0037667411 0.0028948102 0.005859375 0.002580915 0.0013950893 0.0013950893 0.0066615515 0.00718471 0.005092076 0.07104492 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017343028 0.0016276041 0.00074146414 0.00061487267 0.0014829283 0.0026041667 0.0013563368 0.001844618 0.0027307582 0.0003797743 0.00016276042 0.00028935185 0.0013382523 0.00027126737 0.0013744213 0.002875434 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11443866 0.018862125 0.011809172 0.016999422 0.038122106 0.040039062 0.020634403 0.028501157 0.07219329 0.0033817997 0.005425347 0.005823206 0.0322989 0.0074146413 0.036132812 0.06644242 0.084942855 0.015769675 0.00938585 0.018952547 0.0343967 0.04040075 0.015317564 0.023220487 0.06108941 0.0031105324 0.005334925 0.005895544 0.030743634 0.008770978 0.0314851 0.055627894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46.0 6.5434785 301.0 0.026578072 0.006644518 0.009966778 0.0 0.006644518 0.0 0.003322259 0.0 0.003322259 0.0 0.003322259 0.0 0.003322259 0.009966778 0.026578072 0.003322259 0.003322259 0.006644518 0.0 0.013289036 0.0 0.016611295 0.0 0.0 0.003322259 0.029900333 0.003322259 0.006644518 0.0 0.006644518 0.003322259 0.0 0.019933555 0.036544852 0.0 0.013289036 0.003322259 0.0 0.0 0.003322259 0.006644518 0.0 0.0 0.009966778 0.009966778 0.0 0.0 0.003322259 0.07641196 0.019933555 0.006644518 0.026578072 0.003322259 0.009966778 0.046511628 0.049833886 0.009966778 0.016611295 0.003322259 0.013289036 0.003322259 0.006644518 0.019933555 0.009966778 0.003322259 0.019933555 0.003322259 0.013289036 0.016611295 0.019933555 0.03322259 0.006644518 0.029900333 0.013289036 0.03322259 0.0 0.009966778 0.006644518 0.019933555 0.013289036 0.009966778 0.006644518 0.023255814 0.009966778 0.04318937 0.019933555 0.003322259 0.003322259 0.009966778 0.0 0.0 0.0 0.0 0.0 0.0 0.003322259 5.632432 0.0 0.0 0.0 3.0 28672.0 2097152.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1486155800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 50688.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -51200.0 0.0 1995264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.565914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50543.0 0.0 1995152.0 0.0 0.0 0.0 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 60.0 79596.0 1995152.0 94208.0 0.0 0.0 15656.0 46130910.0 3880.0 2093056.0 56.0 76848.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 76904.0 0.0 0.0 300.0 57344.0 0.0 0.0 0.0 0.0


Input: 0.12948507 0.007720839 0.005284313 0.005323111 0.0061766715 0.00449283 0.0047876965 0.0033444038 0.005819728 0.0033444038 0.003747905 0.003103855 0.004648023 0.0038177415 0.003080576 0.0045859455 0.0045393878 0.0028555465 0.0029409025 0.0032668074 0.0028555465 0.0031736917 0.0027701906 0.0028555465 0.0030107393 0.007751878 0.0032202497 0.002715873 0.0029641816 0.00278571 0.003321125 0.0025296418 0.0056800544 0.0024753243 0.00299522 0.0026149978 0.0044617914 0.0028788254 0.0027546713 0.0024675648 0.0027779501 0.0027003537 0.002933143 0.0030960953 0.0028400272 0.0024753243 0.0032668074 0.0027081135 0.0054860637 0.004104848 0.003057297 0.0054084673 0.002801229 0.0028633063 0.0029797007 0.0025529207 0.0026925942 0.0031116146 0.0028943447 0.0035771928 0.002591719 0.0030107393 0.0029797007 0.0026848346 0.0078605125 0.0031659321 0.0027313924 0.0029797007 0.0039030977 0.004477311 0.003383202 0.002909864 0.003189211 0.0028089888 0.0029409025 0.0023589297 0.0029874605 0.0032590476 0.0029486623 0.002715873 0.00407381 0.0029874605 0.0029641816 0.0040039727 0.0026693153 0.003747905 0.0040582903 0.0032668074 0.0026925942 0.0032047303 0.0029486623 0.0028865852 0.00299522 0.003080576 0.003530635 0.0032900863 0.0032978458 0.0038410206 0.0026382767 0.0036082314 0.0031116146 0.004865293 0.0049273698 0.0035849526 0.0037944627 0.005028245 0.0038332609 0.0022968526 0.0034995966 0.0033909616 0.0046325037 0.003934136 0.003592712 0.0025529207 0.0051213605 0.0041591655 0.007216463 0.0063085854 0.0033288845 0.0041358867 0.0031659321 0.0027701906 0.0028555465 0.003057297 0.003103855 0.0030340182 0.003057297 0.0026770749 0.005051524 0.004050531 0.0031969706 0.006114594 0.0036237508 0.004213483 0.0032280092 0.0028710659 0.0034918368 0.004857533 0.0036858278 0.0079691475 0.0023822086 0.005160159 0.0027934695 0.0025994785 0.00278571 0.0023822086 0.0027469117 0.0023899684 0.0026382767 0.002739152 0.0026770749 0.0021959774 0.002653796 0.0042522815 0.002653796 0.002374449 0.002250295 0.0023511702 0.0028865852 0.002397728 0.0027701906 0.0026227576 0.0027313924 0.0026693153 0.002591719 0.0023046124 0.0025451612 0.0023511702 0.0025296418 0.0023666895 0.0028089888 0.0025839594 0.0025839594 0.0026460364 0.0026693153 0.0027934695 0.0023666895 0.0022347756 0.0027003537 0.0023822086 0.0026382767 0.0026149978 0.0028322677 0.00256844 0.0028089888 0.0025839594 0.003057297 0.0026149978 0.002653796 0.0024753243 0.0028943447 0.0028633063 0.0051058414 0.0037091067 0.00363927 0.004089329 0.0034607984 0.0025994785 0.0038642995 0.003934136 0.0030029798 0.0030960953 0.0028400272 0.0026460364 0.004578186 0.0025529207 0.002933143 0.00278571 0.0027934695 0.0026925942 0.0030650569 0.0027236328 0.0027081135 0.0023589297 0.0029719411 0.0023356508 0.0029564218 0.0025529207 0.0028555465 0.002739152 0.002444286 0.0027081135 0.002847787 0.0027081135 0.003468558 0.002521882 0.002591719 0.0026227576 0.0024520454 0.002312372 0.0028400272 0.002739152 0.0045316285 0.0031116146 0.0032357688 0.0043065986 0.0031116146 0.0024132472 0.00299522 0.0026615555 0.0035461544 0.002653796 0.003041778 0.0030029798 0.0029021045 0.0027313924 0.004104848 0.0037401454 0.0042445217 0.0031348935 0.0032047303 0.003189211 0.003600472 0.0030960953 0.004368676 0.030014278 0.016129032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0077416203 1.968876e-05 2.3626511e-05 7.875504e-06 1.5751008e-05 1.968876e-05 7.875504e-06 1.5751008e-05 3.5439767e-05 3.937752e-06 5.5128527e-05 7.875504e-06 1.1813256e-05 3.937752e-05 1.968876e-05 3.937752e-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 0.014569682 0.00011419481 0.00016932334 3.937752e-05 7.0879534e-05 5.1190775e-05 0.0002047631 0.00016932334 0.00018507434 6.300403e-05 5.5128527e-05 3.937752e-05 7.481729e-05 2.3626511e-05 3.1502015e-05 0.00026776714 0.020102223 0.00025595387 0.00030714466 5.5128527e-05 0.00048828125 0.00028745588 0.0013270224 0.00079148816 0.00016932334 5.1190775e-05 7.481729e-05 3.1502015e-05 7.875504e-05 7.481729e-05 2.7564263e-05 7.0879534e-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 0.010935137 0.0002638294 0.00064579136 0.00025989165 0.00033470892 0.00024414062 0.0020200668 0.0009805002 0.00014963458 6.300403e-05 2.3626511e-05 1.968876e-05 6.6941786e-05 3.937752e-05 1.5751008e-05 6.6941786e-05 0.015180034 0.00033864667 0.0007954259 0.00063397805 0.00066941784 0.0005867251 0.0018546812 0.001476657 0.00095687376 5.1190775e-05 7.875504e-05 9.84438e-05 0.0005867251 0.00012994582 0.00024807837 0.00050797 0.010419291 0.0018389302 0.0003622732 0.0016971711 0.0006812311 0.00065366685 0.0026776714 0.0012010144 0.0005591608 0.00066154235 0.00025989165 0.00017719885 0.0008308657 0.00025989165 0.0004528415 0.009525422 0.0056624874 0.00069304433 0.00086630543 0.000570974 0.00066941784 0.00037408643 0.003603043 0.0016932334 0.00011025705 7.0879534e-05 7.875504e-05 6.6941786e-05 6.6941786e-05 3.1502015e-05 5.1190775e-05 0.0015199722 0.002063382 0.00013782132 0.000106319305 0.00063397805 3.937752e-05 9.4506046e-05 0.00043315272 0.0003032069 0.0002638294 0.00043709046 6.6941786e-05 4.331527e-05 0.00051190774 3.937752e-05 5.5128527e-05 0.0028351815 0.008714246 0.0027839907 0.00069304433 0.0017719885 0.0006418536 0.0006300403 0.002047631 0.0021145728 0.0015711631 0.0015278478 0.0006812311 0.0011616369 0.0026934224 0.0013663999 0.0012088899 0.010714623 0.031903666 0.0054695373 0.0039810673 0.0050600115 0.011435232 0.00812752 0.00324077 0.009226153 0.018952401 0.0010120022 0.0011734501 0.001476657 0.007844002 0.0020988218 0.006068076 0.011962891 0.013864825 0.004445722 0.0040283203 0.0050797 0.0034652217 0.0034494707 0.0052490234 0.00476468 0.0058711884 0.0014569683 0.002016129 0.0024729082 0.004902501 0.0027800528 0.0027091734 0.0060247607 0.039054625 0.037262946 0.03680617 0.03662503 0.036373015 0.0380505 0.03692036 0.03736533 0.036739226 0.03729445 0.037282635 0.037018806 0.03774729 0.036971554 0.037522838 0.037739415 645.0 10.458915 6746.0 0.040913135 0.0035576639 0.008449451 0.0035576639 0.0051882598 0.0044470797 0.004002372 0.0026682478 0.0051882598 0.0032611918 0.0026682478 0.0044470797 0.0060776756 0.0075600357 0.015713016 0.010080048 0.028609546 0.030536614 0.0096353395 0.0077082715 0.0057812035 0.0057812035 0.008894159 0.0071153278 0.0044470797 0.008004744 0.0077082715 0.0045953155 0.004298844 0.0063741477 0.0051882598 0.0037058997 0.0041506076 0.009190631 0.0048917877 0.011414171 0.005040024 0.0072635636 0.0056329677 0.0063741477 0.0065223835 0.0051882598 0.005040024 0.0044470797 0.0063741477 0.0041506076 0.0048917877 0.004002372 0.008004744 0.0037058997 0.008004744 0.016157724 0.008894159 0.0038541357 0.008449451 0.0060776756 0.0060776756 0.0038541357 0.0037058997 0.004002372 0.00667062 0.0034094278 0.0037058997 0.0045953155 0.0034094278 0.028461311 0.0057812035 0.02104951 0.013785947 0.045360215 0.008745924 0.016454196 0.014527127 0.04432256 0.00592944 0.0035576639 0.018677736 0.018677736 0.037207235 0.030684851 0.016009487 0.0037058997 0.040468425 0.029498963 0.040913135 0.017640082 0.0096353395 0.02104951 0.00667062 0.0065223835 0.0034094278 0.004002372 0.0026682478 0.0028164838 0.004298844 0.0041506076 6.0574956 0.0 14.0 0.0 2.0 128872.0 131072.0 0.0 0.0 53.0 0.0 1.0 1.0 0.0 0.0 1187225500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 20480.0 4096.0 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2707424 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9540765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6305275 0.0 7.8302464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2462.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19254.0 0.0 90112.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 25788.0 11736.0 40960.0 0.0 0.0 5992.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 224.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.05208748 0.0042846864 0.030125445 0.002264935 0.003267777 0.001649966 0.029315535 0.0018629945 0.003557174 0.0013002778 0.0017303542 0.0010370066 0.0026085943 0.0014469861 0.0011314627 0.0027211376 0.0031431753 0.0012600836 0.0010530843 0.0012661128 0.001907208 0.0016961892 0.0010450454 0.05639829 0.0016057526 0.0009726962 0.0009988223 0.0010249484 0.029066332 0.0010651425 0.00096264767 0.0011656276 0.0032235633 0.0011113656 0.0011395015 0.0011796956 0.0029582826 0.0013605688 0.0010229388 0.0010591134 0.0012741516 0.00096867676 0.0009907834 0.0012218993 0.0011013171 0.0009847544 0.0012138605 0.0008923081 0.0018288296 0.0289357 0.0012359673 0.030378668 0.001278171 0.0013625785 0.0010349969 0.0011435209 0.0014128211 0.0015454615 0.0011716568 0.0025804585 0.0015173256 0.0012882195 0.0010952881 0.0010370066 0.004212337 0.0041641043 0.028901536 0.0016077623 0.002156411 0.004015386 0.0016720728 0.0014188502 0.001386695 0.0013444911 0.0010751911 0.0011817053 0.0013485106 0.0019112274 0.0012118508 0.0011033269 0.0033642426 0.0013485106 0.0016720728 0.002473944 0.0013806658 0.0024458084 0.030008882 0.001832849 0.0014369375 0.0027573123 0.028985944 0.0015273741 0.0012902293 0.0019494118 0.0016781018 0.0015193353 0.0011957732 0.0019252953 0.0010309776 0.0017363833 0.0022609157 0.0032155246 0.0018569655 0.0012198896 0.0023553718 0.0020699939 0.002156411 0.00096867676 0.0019916156 0.0011153851 0.001792655 0.0021905762 0.001481151 0.0009847544 0.0024920315 0.0018027035 0.03261145 0.004353016 0.0015836458 0.0012078314 0.0012801808 0.0010530843 0.0010048514 0.00083402666 0.0011133754 0.0016821213 0.0012560643 0.0012058218 0.0017022183 0.0014570346 0.0010952881 0.004767015 0.0017162862 0.0036817756 0.0009948029 0.0008923081 0.001278171 0.004714763 0.0013967435 0.010430357 0.0009907834 0.003766183 0.0009847544 0.0009747059 0.0011897441 0.0010169096 0.0009325021 0.0008963275 0.0012681225 0.0011013171 0.00094255066 0.028555868 0.0010169096 0.0008601528 0.00085412373 0.00086819165 0.0010430358 0.0009505894 0.0009103954 0.0010390164 0.0011374918 0.0012962583 0.00096867676 0.0010008321 0.0011113656 0.00095862825 0.0009666671 0.0007717259 0.0010571037 0.0009787253 0.00087422074 0.00081794907 0.00088828866 0.0008621625 0.0009827447 0.0008661819 0.0013384621 0.02868248 0.028628217 0.00094857975 0.028628217 0.0014469861 0.029032167 0.0012821904 0.02915074 0.0011756761 0.0010430358 0.0012239091 0.0010329873 0.0010932783 0.0010490649 0.00092848274 0.003665698 0.0017424123 0.0014510055 0.0031150393 0.0019916156 0.0009505894 0.0016580048 0.0019433827 0.0012982681 0.0012218993 0.0012520449 0.0010510746 0.0023111582 0.00086417224 0.00094255066 0.0010048514 0.0015776168 0.0011073463 0.0012681225 0.0011334724 0.0011555791 0.0010430358 0.0010530843 0.0012339576 0.0015615391 0.00094857975 0.02868248 0.0012319478 0.0011073463 0.0008460849 0.0010169096 0.0010048514 0.001406792 0.0008561334 0.0008460849 0.0009304924 0.0014288988 0.0011696471 0.0009103954 0.0009023566 0.006256205 0.001609772 0.00089833717 0.002427721 0.0020639647 0.0008460849 0.0008219685 0.00081392966 0.0019634797 0.0009706865 0.0009927932 0.0010892589 0.0013183651 0.028588023 0.0015112965 0.001278171 0.0025181577 0.0011535694 0.0011977829 0.00162384 0.0026186428 0.002333265 0.002035829 0.020685872 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0034795082 9.886686e-05 7.364572e-05 5.1451123e-05 0.00013821184 4.2371514e-05 6.355727e-05 6.153958e-05 1.10973015e-05 8.070764e-06 7.061919e-06 1.2106147e-05 2.522114e-05 1.5132683e-05 3.0265367e-06 4.136267e-05 0.0032676507 8.7769564e-05 0.00013922069 6.557496e-05 0.00019470719 5.7504196e-05 4.7415742e-05 5.2459967e-05 2.522114e-05 1.10973015e-05 3.631844e-05 1.10973015e-05 1.9168067e-05 3.430075e-05 1.3114992e-05 6.9610345e-05 0.0015324363 1.6141528e-05 3.7327285e-05 4.2371514e-05 5.649535e-05 4.3380358e-05 0.00018260104 9.07961e-05 6.0530733e-06 4.035382e-06 3.0265367e-06 6.0530733e-06 9.07961e-06 2.017691e-06 3.0265367e-06 3.1274212e-05 0.0012943489 2.9256522e-05 7.061919e-06 5.0442277e-06 0.00011399955 6.0530732e-05 0.0003409898 0.00016746836 8.070764e-06 6.0530733e-06 6.0530733e-06 7.061919e-06 4.035382e-06 4.035382e-06 7.061919e-06 5.0442277e-06 0.0039052411 3.5309593e-05 0.0004781928 0.00016444182 0.0003672198 0.00034704286 0.0019168066 0.0009987571 2.522114e-05 7.061919e-06 4.035382e-06 0.0 1.0088455e-05 2.017691e-06 2.017691e-06 1.0088455e-06 0.004683061 0.00015334453 0.00044086552 0.0002703706 0.00077378453 0.0004075736 0.0016232325 0.0008645806 0.00012913223 8.7769564e-05 8.5751875e-05 7.768111e-05 8.6760716e-05 9.987571e-05 8.373418e-05 0.0004630601 0.003657065 0.0001018934 0.0003167775 0.00049029896 0.0008988814 0.000359149 0.0023768402 0.0011864024 6.153958e-05 5.9521888e-05 6.658381e-05 5.2459967e-05 0.00016040645 7.566342e-05 5.447766e-05 0.00041261784 0.0072989976 0.00037932594 0.0008807222 0.001306455 0.001234827 0.0007636961 0.002017691 0.0013468089 0.00076773146 0.0002259814 0.00022295487 0.00029861828 0.0006950946 0.00025826445 0.00031072443 0.0005871481 0.053855203 0.0744639 0.00045902474 0.049868245 0.025452165 0.050245553 0.0005508297 0.025396679 0.0026623434 0.024878131 0.00018562758 0.123911455 0.0008918195 0.025006255 0.0008413772 0.028934699 0.014111731 0.0026441843 0.002194239 0.002209372 0.004385452 0.004366284 0.002436362 0.0030477224 0.009030176 0.0007798376 0.00070114766 0.001881497 0.0037761088 0.0011833758 0.0033887122 0.0099795 0.024163868 0.0060288613 0.00393248 0.005624314 0.009921996 0.011278894 0.0049675554 0.0076399874 0.015991211 0.0019511073 0.0020368593 0.0043511507 0.008727523 0.0035914902 0.0076853856 0.016404837 0.01774862 0.020918412 0.012755843 0.01823791 0.015270895 0.017954424 0.0124854725 0.015191196 0.012223173 0.015541266 0.012189881 0.026639575 0.012100094 0.015785407 0.011845864 0.015178082 1344.0 10.591517 14235.0 0.03645943 0.0021074815 0.003090973 0.0028802247 0.005479452 0.0047769584 0.0018967334 0.0053389533 0.0033719705 0.0023884792 0.0019669828 0.0024587284 0.0035827185 0.0033719705 0.009553917 0.0030207236 0.008148929 0.011872146 0.005619951 0.011310151 0.0037232174 0.0053389533 0.0046364595 0.0044959607 0.0044959607 0.0037232174 0.0047769584 0.011942396 0.007305936 0.0028099755 0.0046364595 0.0037934668 0.0048472076 0.015735863 0.0040744646 0.009272919 0.011099403 0.006743941 0.008851423 0.010888655 0.0048472076 0.008710924 0.002739726 0.0023182298 0.0064629433 0.007446435 0.006533193 0.0040744646 0.01489287 0.004917457 0.009343169 0.01959958 0.008991921 0.0051282053 0.018054092 0.013558132 0.006673692 0.0061116964 0.0035124694 0.0049877064 0.004355462 0.00681419 0.0046364595 0.00681419 0.005619951 0.03343871 0.0061116964 0.024868282 0.020653319 0.06996839 0.010186161 0.009764665 0.010748156 0.036178432 0.0057604495 0.003652968 0.03217422 0.012223393 0.030066736 0.035967685 0.014963119 0.0035124694 0.041868635 0.02725676 0.054583773 0.018124342 0.010396909 0.0038637163 0.0077274325 0.008429926 0.004004215 0.0031612224 0.0023182298 0.0025289778 0.003090973 0.0033719705 5.969015 0.0 0.0 0.0 21.0 497586.0 483328.0 0.0 0.0 112.0 0.0 1.0 0.0 0.0 0.0 1363255000.0 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 62464.0 1024.0 4096.0 5.0 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 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -430544.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2029705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0073023 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.547793 0.0 4.1993027 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17004.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -434878.0 0.0 1292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 120.0 81940.0 1292.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 80472.0 0.0 0.0 468.0 69632.0 0.0 0.0 0.0 0.0