Input: 0.043778017 0.0046081515 0.0041198097 0.0060685705 0.004089864 0.0053821276 0.003607281 0.0034310631 0.003917102 0.0034494912 0.0036095844 0.0032698181 0.0040196073 0.0031765264 0.0035255067 0.0034425806 0.0039723855 0.0038940667 0.0034103317 0.0034045728 0.005158688 0.0034448842 0.0032997637 0.0031834368 0.004096775 0.005025085 0.0033446818 0.003229507 0.0036763859 0.0033780828 0.003201865 0.0031016627 0.0045436537 0.0034206973 0.0034114835 0.003427608 0.0037270628 0.0033147363 0.0034149387 0.0031396705 0.0035416312 0.0032375692 0.0034195457 0.0033642617 0.0034932576 0.0033297092 0.003174223 0.002933507 0.0041612727 0.0034955612 0.003629164 0.0034114835 0.004621973 0.0033849932 0.0031316082 0.0030210402 0.0034448842 0.0033412266 0.00325139 0.0029588456 0.0033780828 0.0032237482 0.0033043707 0.0047187195 0.0037247594 0.0036694754 0.003914798 0.0066571147 0.0034990164 0.007619978 0.007682172 0.0073873242 0.0035612108 0.0034944094 0.0033193433 0.00317883 0.003684448 0.0032790322 0.0032479349 0.0032767286 0.003477133 0.0032997637 0.0035324171 0.0034540982 0.0035370241 0.0032548455 0.0034805883 0.0032870944 0.00336311 0.004841957 0.0034206973 0.003436822 0.0032870944 0.0033227988 0.0032444797 0.0030279506 0.0036372263 0.0050147194 0.0036141914 0.0036372263 0.003874487 0.0034494912 0.003469071 0.0034241527 0.0034356702 0.0035416312 0.0034068765 0.0035220515 0.0033377714 0.0034644639 0.003306674 0.0032225964 0.0035266585 0.004997443 0.0034310631 0.0034990164 0.0034011176 0.0038710316 0.0035370241 0.0036406817 0.0035105338 0.003260604 0.0035969152 0.0039124945 0.003432215 0.0033711721 0.0031914993 0.0033550477 0.004321366 0.0038802456 0.0036809929 0.0037558565 0.0035001682 0.0038537553 0.0037316699 0.0035404793 0.0036648684 0.0035404793 0.005084976 0.0037558565 0.0044561205 0.0037074832 0.0035577556 0.0034805883 0.0038318723 0.0034909542 0.0035554522 0.0033435302 0.0035416312 0.0036429851 0.0035151409 0.0031822852 0.00393553 0.003644137 0.0036521992 0.00500205 0.003583094 0.0033896002 0.0035750319 0.0034851953 0.0036959657 0.0033746273 0.0033838414 0.003174223 0.0033101295 0.003367717 0.0032640593 0.0033688687 0.0033343162 0.003472526 0.0032824874 0.004732541 0.003261756 0.0034898024 0.0035208997 0.003063655 0.0032997637 0.0030855383 0.0031868923 0.0031995615 0.003361958 0.0035439346 0.0031028143 0.0038445415 0.0032525419 0.003340075 0.0033366196 0.0031154836 0.0032410244 0.0031949545 0.0029196863 0.004828136 0.0041612727 0.0034333668 0.0032836392 0.0045067975 0.0033826896 0.0038249616 0.0035093823 0.00352781 0.0032767286 0.006350749 0.0034137869 0.0032778804 0.003482892 0.0032502385 0.0030809313 0.0031580983 0.0036107362 0.0032986118 0.0034598568 0.0034160905 0.0033988142 0.0032778804 0.0035393278 0.003905584 0.0034540982 0.0032283552 0.003791561 0.0033608065 0.0033826896 0.0034990164 0.0034840438 0.003260604 0.0036164948 0.003307826 0.0034011176 0.0034794367 0.0033792343 0.0032145341 0.0036130396 0.0034909542 0.005167902 0.0035911563 0.005122984 0.00357388 0.0033585029 0.004878813 0.0031627053 0.0034494912 0.0035266585 0.0031431257 0.0032041685 0.0032444797 0.0032525419 0.0033297092 0.0032698181 0.0032640593 0.0035669697 0.0031707676 0.0032398726 0.003633771 0.0033988142 0.0034022694 0.003744339 0.03163051 0.0011820331 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010891096 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9636157e-05 0.0 1.1543292e-06 4.2133015e-05 0.0010746805 7.50314e-06 6.3488105e-06 4.617317e-06 2.885823e-06 2.3086584e-06 5.194481e-06 3.4629875e-06 5.194481e-06 4.0401524e-06 5.771646e-06 2.885823e-06 4.0401524e-06 5.194481e-06 1.5583444e-05 3.232122e-05 0.0019104148 7.50314e-06 1.1543292e-06 5.771646e-06 5.771646e-07 1.1543292e-06 1.7314937e-06 6.3488105e-06 4.617317e-06 2.3086584e-06 2.885823e-06 1.7314937e-06 0.00029897125 3.4629875e-06 6.925975e-06 0.000108506945 0.0014492603 5.771646e-07 1.616061e-05 1.1543292e-06 0.0 0.0 1.1543292e-06 3.1744054e-05 6.925975e-05 0.002447755 3.3475546e-05 1.1543292e-06 6.291094e-05 1.9623596e-05 3.232122e-05 0.00765378 0.0020766382 1.8469267e-05 2.3663748e-05 0.0002914681 0.0007485825 0.00010388963 2.1932256e-05 2.7126736e-05 5.3676307e-05 0.00046577182 0.00011947307 2.2509419e-05 4.7327496e-05 3.001256e-05 5.656213e-05 0.0018030622 0.00093269796 4.0401524e-06 6.3488105e-06 4.0401524e-06 8.657469e-06 2.3086584e-06 5.771646e-06 6.3488105e-06 3.4629877e-05 9.350067e-05 0.00015929743 1.500628e-05 9.869515e-05 1.9046432e-05 2.4240913e-05 0.00094943575 0.0041163377 5.1944815e-05 6.002512e-05 0.0004905899 0.00048943557 0.0007324219 0.0008005273 0.0025297124 0.0027230626 0.00016853206 4.6750334e-05 0.00033764128 0.0005650441 0.002577617 0.0027271027 0.009952049 0.0049838163 0.0002510666 0.000140251 0.0005812048 0.00012986203 0.00014082817 0.000277039 0.0010764119 0.0011445174 0.00083284854 0.0009419326 0.00040747822 0.0013522967 0.0010539026 0.00038035147 0.0028546562 0.0076278076 0.0003832373 0.00018007535 0.0002054706 0.0001662234 0.00016680057 0.00025856975 0.0003734255 0.00052117964 0.0004877041 0.00023548315 0.00040632387 0.00046865764 0.00043402778 0.00051887095 0.0041146064 0.0030387717 0.00038554595 0.00010504395 0.0002268257 5.4253473e-05 0.00012813054 0.000136788 0.0004467254 0.00022913434 0.0001206274 9.061484e-05 0.00038727745 0.00012813054 0.00018469268 0.000280502 0.0011491347 0.0020766382 0.0001108156 0.0001027353 0.00034052713 0.00038381445 0.00010562112 0.00021932255 0.00014486832 0.00021412807 9.580932e-05 7.50314e-05 6.983692e-05 0.00011427859 0.00013621085 0.00017026356 0.000368231 0.0014469516 0.00019161864 0.00016102892 0.00015121713 0.00012986203 0.00017026356 0.00021124224 0.00035495622 0.00037746565 5.54078e-05 7.676289e-05 0.00031974918 0.0005286828 0.00011196993 0.00015294862 0.00028800513 0.0022717197 0.0007762864 0.00076532026 0.0008184194 0.0070471796 0.00088190753 0.00088190753 0.0008894107 0.0011422087 0.0008005273 0.0007809037 0.00074223365 0.0008368887 0.0006995235 0.0008495863 0.0010925726 0.0022353586 0.0010100381 0.0010394735 0.0009973404 0.0051356107 0.0011433631 0.0011179679 0.0010741033 0.001192422 0.0010094609 0.0010510167 0.0011260482 0.0010648686 0.0010498624 0.0010862238 0.001125471 0.065668635 0.055644438 0.052278414 0.05237942 0.056925744 0.05170183 0.053421777 0.050570585 0.05383272 0.051810335 0.05149232 0.050036132 0.053324237 0.049061876 0.053550486 0.05054692 3928.0 9.034623 35488.0 0.015920874 0.006114743 0.0071291705 0.007382777 0.0072700633 0.007580027 0.006903742 0.008002705 0.008960775 0.006002029 0.0068192063 0.007044635 0.007016456 0.008397205 0.007157349 0.00636835 0.010172453 0.009186204 0.008932597 0.011863165 0.024177186 0.009298918 0.0067910277 0.0063119926 0.006734671 0.008650811 0.007016456 0.006678314 0.009975203 0.007692741 0.007298242 0.013018485 0.007636384 0.008228133 0.02104937 0.012680342 0.00927074 0.052778404 0.046438232 0.04686091 0.009777953 0.009186204 0.008143598 0.010989631 0.009806132 0.008228133 0.009608882 0.009918846 0.007889991 0.007044635 0.011017809 0.010454238 0.009101668 0.008509919 0.011215058 0.009721596 0.006734671 0.0072418847 0.00887624 0.011074166 0.006847385 0.006847385 0.009101668 0.00791817 0.00752367 0.01079238 0.01022881 0.00791817 0.009665239 0.010989631 0.010003381 0.006424707 0.006903742 0.008904418 0.009017132 0.0076645627 0.011863165 0.011158702 0.008453562 0.008284491 0.010116096 0.011947701 0.009017132 0.011243237 0.009777953 0.008002705 0.0071291705 0.011975879 0.008650811 0.0072418847 0.010256988 0.021443868 0.006621957 0.009101668 0.008509919 0.0051003154 6.3598027 0.0 0.0 0.0 10.0 868244.0 1323008.0 0.0 0.0 12.0 1.0 1.0 0.0 0.0 0.0 1195982500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 8.0 0.0 4.0 0.0 4.0 0.0 414208.0 4096.0 4096.0 7.0 0.0 0.0 1.0 7.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 84480.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -386048.0 -371712.0 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 7.986858 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.103013 0.0 -7.8744206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15.814992 -7.923054 6.3301935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 -102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -606208.0 -371295.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 712.0 679852.0 89808.0 585728.0 0.0 0.0 0.0 0.0 8.0 679764.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.19296491 0.0059985956 0.0042432044 0.003076979 0.005809942 0.0032091378 0.002703706 0.003012413 0.0073373336 0.0027279183 0.0024968928 0.0024837777 0.0051834485 0.0029276698 0.0023142917 0.0059471447 0.00522582 0.002763228 0.0023748225 0.0023243802 0.003357438 0.002789458 0.0022618317 0.002183142 0.0028146792 0.0024595654 0.0021902036 0.002292097 0.0025765914 0.0022073542 0.0022820088 0.0023203448 0.0034633668 0.0022113894 0.0024777248 0.002390964 0.0038295777 0.002247708 0.0021579207 0.0023627162 0.0026361134 0.0021478322 0.0021216022 0.0026078657 0.002311265 0.003115315 0.002337495 0.0022709114 0.0029206078 0.0022678848 0.0022971414 0.0038699314 0.0024262737 0.0022779733 0.0022436725 0.0022335842 0.002494875 0.002389955 0.0022305576 0.0032363764 0.0025059723 0.0026966443 0.0021730533 0.0033685353 0.004140302 0.0033937565 0.0037075074 0.0026805026 0.00595118 0.014344775 0.002802573 0.0025059723 0.0031254035 0.0024091231 0.0025755828 0.0022164336 0.0025856711 0.009224884 0.002351619 0.0022517433 0.005544615 0.004284567 0.0032293147 0.0026936177 0.002828803 0.007406944 0.003298925 0.0029226255 0.0023768402 0.0033201107 0.0021115139 0.0025049634 0.0022749468 0.0034472253 0.0029206078 0.002846962 0.002383902 0.0032000581 0.0024081143 0.002553388 0.0038023388 0.003717596 0.003560216 0.0024192117 0.003520871 0.0029892095 0.0038285688 0.0023506102 0.003553154 0.002443424 0.0030396516 0.0031768547 0.002861086 0.0022446814 0.0037256666 0.0034129245 0.0057342784 0.005149148 0.0024736894 0.0023324508 0.0024837777 0.0025554057 0.0022295488 0.0021286642 0.002344557 0.0025281669 0.0023052122 0.0025281669 0.0035824105 0.0027359892 0.002253761 0.0071759187 0.0028005552 0.0052823154 0.002116558 0.002169018 0.002914555 0.010148986 0.0027642369 0.022702051 0.002356663 0.006910592 0.0021932302 0.0021670002 0.0024615831 0.002043921 0.0020540096 0.0023596897 0.0022971414 0.0028520063 0.0021992833 0.0021791065 0.002377849 0.0022527522 0.0021629648 0.0021357262 0.0023415305 0.0021791065 0.002084275 0.0022487168 0.0024071054 0.0030678993 0.0021306819 0.0025231228 0.002292097 0.0021145402 0.0020590539 0.0021326996 0.0024000437 0.0022527522 0.0022507345 0.0020731776 0.002325389 0.0020277796 0.0022265222 0.0021175668 0.0026300603 0.002141779 0.0021044519 0.0021185756 0.002424256 0.0020540096 0.00325958 0.0022789822 0.0028600772 0.002246699 0.002182133 0.0021841507 0.0024333354 0.0024141674 0.0023435482 0.0024746982 0.0047203884 0.003208129 0.0032212439 0.0036560562 0.0038003211 0.0026018126 0.0032505004 0.0047375388 0.0032666419 0.002900431 0.0022608228 0.0022497256 0.011414079 0.002221478 0.0022941148 0.0022577965 0.0028499886 0.0023506102 0.0025654943 0.0022648582 0.0026431754 0.00209739 0.0022577965 0.0021286642 0.0030668904 0.0023990348 0.0021841507 0.0021770888 0.0027541483 0.002281 0.0021932302 0.002194239 0.0032313324 0.002221478 0.002273938 0.002161956 0.0030729435 0.0029155638 0.0021710356 0.002182133 0.008742656 0.0033301993 0.00225477 0.0039375243 0.0056878715 0.0021125225 0.002169018 0.0023314422 0.004319877 0.0023082385 0.0023314422 0.0023314422 0.0038225157 0.0020741865 0.0026502372 0.0026976531 0.0039990637 0.002469654 0.0025160608 0.002182133 0.0053791646 0.0024081143 0.0046800347 0.022062443 0.11995863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008942566 1.1613722e-05 9.089e-06 6.059333e-06 7.5741664e-06 9.593944e-06 1.3128555e-05 8.079111e-06 8.584055e-06 1.2118666e-05 1.3128555e-05 1.0098888e-05 1.41384435e-05 4.0395553e-06 6.059333e-06 6.5642776e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005884622 0.00012825588 0.00028175898 9.139494e-05 0.00057563663 7.5741664e-05 0.00017269098 0.00011664216 2.7771943e-05 0.00010755316 3.9385664e-05 3.080161e-05 5.4029053e-05 2.171261e-05 7.0692215e-05 0.0005943196 0.011150688 0.00033679794 0.00075438694 0.00021914588 0.0011512733 0.00028680844 0.002061183 0.0010846206 6.412794e-05 0.0001807701 5.604883e-05 6.210816e-05 9.5434494e-05 7.2712e-05 9.290977e-05 0.000945256 0.0053281733 0.00023126454 0.0004978752 0.00013835476 0.0006988431 0.00012068172 0.00071247655 0.0006225965 6.210816e-05 0.00015047344 3.1811498e-05 7.372189e-05 6.210816e-05 5.3019165e-05 7.321694e-05 0.0004504104 0.0075514438 0.00020096787 0.0007619611 0.00045545987 0.0018874822 0.000681675 0.0039188736 0.0020965291 0.000111592715 0.000115127325 0.00012068172 0.00027367988 0.00015754266 5.9583443e-05 0.00011967183 0.00010199877 0.008646668 0.0004741428 0.00082154456 0.00046000438 0.0019576694 0.0005806861 0.00217934 0.0014153592 0.0002706502 0.00028832327 0.00021510632 0.00024085848 0.00030902599 0.00019339372 0.0002034926 0.00035800558 0.00043223242 0.00013128555 6.5642776e-06 0.00013229543 3.7870832e-05 1.262361e-05 1.1613722e-05 1.11087775e-05 4.241533e-05 1.716811e-05 9.593944e-06 6.5642776e-06 3.8375776e-05 6.059333e-06 6.5642776e-06 0.0001317905 0.009239978 0.0011356199 0.00056099327 0.00083416817 0.004824744 0.002871114 0.0011416794 0.00086799945 0.007961963 0.0005296867 0.00053574605 0.00056099327 0.0035810657 0.0007245952 0.0027135713 0.0053493814 0.03811573 0.005639219 0.0035553137 0.004532381 0.01879201 0.0131669305 0.004735369 0.005664971 0.0317403 0.0022126664 0.0025277517 0.0035856103 0.017112566 0.0035820757 0.012029796 0.02121827 0.011933351 0.0025120985 0.0016976232 0.002506544 0.0044202833 0.0043637296 0.0021394496 0.0033296035 0.00781149 0.00067157607 0.0010846206 0.0012517573 0.0046475083 0.0017880081 0.003798697 0.0070571033 0.03266637 0.031646885 0.031767063 0.03229675 0.031969547 0.031895317 0.031894308 0.031850886 0.03223969 0.03197914 0.031804934 0.03208871 0.03203216 0.031940766 0.03173222 0.032087702 2997.0 8.833166 26473.0 0.024100026 0.0058172476 0.005930571 0.0058172476 0.012201111 0.0057039247 0.005515053 0.0075548673 0.0063460884 0.0057039247 0.005288407 0.005175084 0.00540173 0.0060061193 0.011218978 0.0062327655 0.006988252 0.0064216373 0.0072526727 0.0060438938 0.005741699 0.005741699 0.0065727346 0.0059683453 0.0056661502 0.00653496 0.0071015754 0.005477279 0.007177124 0.007328221 0.0053639556 0.012729951 0.031428248 0.01167227 0.0055528274 0.009292487 0.0077059646 0.0071015754 0.0072148982 0.006723832 0.0072526727 0.007517093 0.00453292 0.005515053 0.007517093 0.0065727346 0.004948438 0.0056283763 0.011445624 0.0078192875 0.0066860574 0.009972425 0.00800816 0.0074415444 0.012654402 0.010463491 0.0071393494 0.0059683453 0.006383863 0.006610509 0.0054395045 0.0061194426 0.006383863 0.014731991 0.006648283 0.029728403 0.0136743095 0.020851433 0.019453783 0.04189174 0.009934651 0.010690137 0.008725871 0.026404262 0.00766819 0.007177124 0.024062252 0.012163336 0.025686549 0.038340952 0.013976504 0.0055528274 0.028481849 0.028330753 0.0384165 0.01507196 0.00827258 0.0057794736 0.008876969 0.009783553 0.006081668 0.004948438 0.005288407 0.00513731 0.0050239866 0.006308314 6.2637243 0.0 0.0 0.0 9.0 991232.0 1003520.0 1.0 0.0 75.0 0.0 1.0 0.0 1.0 0.0 1542371800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 273920.0 1024.0 4096.0 4.0 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 79360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -273920.0 0.0 628736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.981548 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4852347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3401093 0.0 7.1218915 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79162.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -273914.0 0.0 628440.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 355952.0 5848.0 372736.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 332016.0 0.0 0.0 0.0 0.0 24.0 332208.0 64.0 332048.0 0.0 0.0 304.0 278528.0 0.0 0.0 0.0 0.0


Input: 0.16125776 0.026708074 0.012810559 0.016343167 0.013897516 0.007841615 0.020225156 0.005667702 0.0048136646 0.006754658 0.00947205 0.003726708 0.0022903727 0.0057065217 0.0045807455 0.002212733 0.004076087 0.0047748447 0.0041925465 0.008850932 0.0025621117 0.0029891303 0.003493789 0.0031832298 0.002135093 0.0022903727 0.002173913 0.0025232919 0.0035714286 0.003998447 0.0029114906 0.0026785715 0.008812112 0.002173913 0.002173913 0.002795031 0.0024456521 0.002212733 0.0030279504 0.0015527951 0.0042313663 0.0015527951 0.0048136646 0.0038819876 0.0019798137 0.0035714286 0.007880434 0.0057065217 0.025388198 0.012228261 0.005201863 0.0029891303 0.002795031 0.002173913 0.0015527951 0.0034161492 0.002795031 0.002212733 0.002173913 0.0016692546 0.0013586957 0.0017857143 0.0017468944 0.0015916149 0.0019021739 0.0055124224 0.0019798137 0.0051630433 0.0028726708 0.0035326087 0.0025621117 0.0020574534 0.0034161492 0.004425466 0.0015139752 0.0018245341 0.0020962732 0.0048913043 0.0041537266 0.0017080746 0.003377329 0.0014751552 0.0031055901 0.0061723604 0.0036102484 0.009821429 0.0019021739 0.0024068323 0.0014363354 0.0018245341 0.002135093 0.0012810559 0.0016304348 0.0013586957 0.00089285715 0.0032220497 0.0017857143 0.011568323 0.0031832298 0.013742236 0.006521739 0.019099379 0.0057453415 0.004309006 0.0038819876 0.017740684 0.0013198758 0.0026785715 0.005357143 0.009161491 0.011995342 0.022748448 0.0061723604 0.0011645963 0.017624224 0.013392857 0.022593169 0.005628882 0.0039596274 0.0033385092 0.001863354 0.004076087 0.0017857143 0.0011257764 0.0013975155 0.0013586957 0.0017857143 0.001242236 0.0029114906 0.0026785715 0.006482919 0.001242236 0.0010869565 0.001242236 0.0063664597 0.0010093168 0.0012810559 0.0016304348 0.0010869565 0.00089285715 0.0010869565 0.0019409938 0.0009704969 0.0015139752 0.0012810559 0.0014751552 0.0014751552 0.0011257764 0.0019021739 0.0013198758 0.0025232919 0.0016692546 0.0013586957 0.0012810559 0.0011645963 0.0014363354 0.0013975155 0.0009704969 0.0012810559 0.0011645963 0.0030279504 0.0019409938 0.0013198758 0.0013586957 0.0015139752 0.0011257764 0.0012034161 0.001242236 0.0012034161 0.0012034161 0.0011645963 0.00077639753 0.0015139752 0.0012034161 0.0014751552 0.0015916149 0.0014751552 0.0013975155 0.0010869565 0.0014363354 0.001242236 0.0013975155 0.0015139752 0.0011645963 0.0015139752 0.0009704969 0.0012034161 0.0010093168 0.0009704969 0.0012810559 0.000931677 0.0016304348 0.0013198758 0.0013586957 0.00089285715 0.0015139752 0.0010093168 0.0014363354 0.0010869565 0.0010481366 0.0013198758 0.0013975155 0.001242236 0.0014363354 0.0012810559 0.0013198758 0.0015916149 0.0012034161 0.0014751552 0.0013975155 0.001242236 0.0015139752 0.001242236 0.0010869565 0.0012810559 0.0007375776 0.0011257764 0.001242236 0.0010869565 0.001242236 0.0009704969 0.0014751552 0.0029114906 0.0014751552 0.0011257764 0.0019021739 0.0016304348 0.0010093168 0.0015139752 0.0014363354 0.0013975155 0.0015139752 0.0014751552 0.0017468944 0.00077639753 0.0011645963 0.0012034161 0.0013975155 0.0010093168 0.0009704969 0.0013586957 0.0009704969 0.0015916149 0.0011645963 0.0015139752 0.0011645963 0.0008152174 0.0029503105 0.0012810559 0.0012810559 0.0013586957 0.0011645963 0.0013198758 0.0013198758 0.0012810559 0.0016692546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08610026 0.005533854 0.007019043 0.0040486655 0.006693522 0.004740397 0.030680338 0.018249512 0.0008544922 0.00020345052 0.00044759116 0.0004679362 0.00022379558 0.00091552734 0.00018310547 0.00030517578 0.027119955 0.0037841797 0.0037434895 0.0008951823 0.00056966144 0.0005086263 0.00095621747 0.00059000653 0.00040690103 0.0009765625 0.00012207031 0.0005086263 0.00020345052 0.0007324219 0.00022379558 0.00032552084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.054585773 0.0048421226 0.0043538413 0.002766927 0.007181803 0.003967285 0.023010254 0.014099121 0.0018310547 0.0018513998 0.0008951823 0.0012613932 0.0009969076 0.00081380206 0.001546224 0.0009969076 0.008036296 0.0019327799 0.0017496744 0.0012613932 0.0033976238 0.0020548503 0.012593587 0.0076904297 0.00056966144 0.00044759116 0.00032552084 0.00028483072 0.0004272461 0.00028483072 0.00036621094 0.00024414062 0.016703287 0.0022176106 0.0020141602 0.0036621094 0.001566569 0.0018717448 0.0040283203 0.002400716 0.0014648438 0.0008544922 0.0010172526 0.0006306966 0.00095621747 0.0007324219 0.0007324219 0.00081380206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06604004 0.020874023 0.022155762 0.033772785 0.017313639 0.018290201 0.043436687 0.02746582 0.016703287 0.009480794 0.010111491 0.009134929 0.009602864 0.009379069 0.009114583 0.010457356 0.039855957 0.016520182 0.017578125 0.024820963 0.01352946 0.014709473 0.029439291 0.020100912 0.011454265 0.009094238 0.0100911455 0.008076985 0.00801595 0.008422852 0.009236653 0.009053548 349.0 19.237822 6714.0 0.020851951 0.00119154 0.000297885 0.0020851952 0.0029788502 0.0010425976 0.0022341376 0.00074471254 0.0010425976 0.00119154 0.00089365506 0.0016383675 0.00089365506 0.0072981827 0.018468872 0.015787905 0.03738457 0.02844802 0.014000596 0.005064045 0.0034256778 0.0028299077 0.0022341376 0.0038725052 0.006106643 0.004617218 0.0041703903 0.0001489425 0.00059577 0.00089365506 0.00119154 0.00074471254 0.00089365506 0.013851653 0.00089365506 0.014745308 0.006404528 0.006106643 0.0022341376 0.00238308 0.0016383675 0.006106643 0.00119154 0.0022341376 0.0020851952 0.013702711 0.008787608 0.0028299077 0.006106643 0.00059577 0.0077450103 0.013851653 0.008787608 0.0037235627 0.00119154 0.0040214476 0.00089365506 0.00059577 0.0037235627 0.00044682753 0.00119154 0.00059577 0.000297885 0.0055108727 0.00119154 0.033363122 0.007000298 0.0427465 0.018170986 0.06106643 0.01608579 0.011170688 0.011021745 0.05823652 0.0010425976 0.0038725052 0.013851653 0.02725648 0.03723563 0.07417337 0.019362526 0.00059577 0.05808758 0.04349121 0.074918084 0.014894251 0.009085493 0.008191838 0.0019362526 0.00953232 0.0010425976 0.000297885 0.00074471254 0.0 0.000297885 0.000297885 5.38818 2.0 20.0 0.0 1.0 25760.0 32768.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1537904000.0 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 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 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 7168.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6028385 0.0 3.3229713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7092.0 0.0 1208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 15196.0 1208.0 16384.0 0.0 0.0 16032.0 9728.0 12.0 24576.0 28.0 14884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.43440393 0.0025191857 0.0020105615 0.0018370309 0.0020703995 0.0017442817 0.0019028528 0.0018130955 0.0018489985 0.0018968689 0.0015916944 0.0016934193 0.0018968689 0.0017771927 0.0017113708 0.0017502655 0.0019208043 0.0016784598 0.0017173545 0.0017562493 0.001831047 0.0018340389 0.0017323141 0.0017951442 0.0018519904 0.0018190794 0.0019387556 0.00192978 0.0018819094 0.0018849013 0.0018160875 0.0019836342 0.0025311531 0.0025371371 0.0021122862 0.0017801846 0.002085359 0.001926788 0.0017143626 0.0017592412 0.0016365731 0.001735306 0.0070908195 0.0017442817 0.0069861026 0.0072134873 0.0017622332 0.0019327719 0.0024922583 0.002570048 0.0026867324 0.0027555462 0.0030098583 0.002279833 0.0022110192 0.0021422054 0.0020763834 0.007419929 0.0020434724 0.0022439302 0.0021272458 0.0022050354 0.0019896182 0.0022289706 0.0024982423 0.002860263 0.0026747647 0.002570048 0.0029051416 0.0023187278 0.0023665985 0.0026627972 0.0023546307 0.0022409384 0.002184092 0.0021601568 0.0022888088 0.0022947926 0.0022080273 0.0021033105 0.002249914 0.0018579742 0.0018519904 0.0018430146 0.001798136 0.0018878933 0.0018280551 0.0017143626 0.007135698 0.0016844436 0.0016365731 0.0019058447 0.0016694841 0.0017532575 0.0017233384 0.0016545245 0.007045941 0.0019148204 0.0015916944 0.0070938114 0.0020344967 0.0022289706 0.0017562493 0.0018460066 0.0020285128 0.0019686748 0.0020135534 0.0017712088 0.002121262 0.0017652251 0.0018849013 0.0020913428 0.0018071118 0.0017293221 0.0021781083 0.0019477314 0.0021063024 0.007135698 0.0017323141 0.0017592412 0.0017382979 0.0070609003 0.0016515326 0.0016664921 0.0016515326 0.0017771927 0.0018549822 0.0021451972 0.001831047 0.001798136 0.0015318564 0.0018878933 0.0015737431 0.0017562493 0.0015976783 0.0016126378 0.0070399567 0.0016784598 0.0016934193 0.0020344967 0.0014869777 0.007141682 0.0016784598 0.0015318564 0.0069621676 0.0016246054 0.0016425569 0.0016784598 0.0016425569 0.0015228806 0.0017472736 0.0016964112 0.0014839858 0.0016216135 0.0015049292 0.0015139049 0.0015707511 0.0016844436 0.0015737431 0.0016305892 0.0016156298 0.0014929615 0.0068634343 0.0016605083 0.0016485407 0.001543824 0.001507921 0.0015228806 0.001510913 0.0017861684 0.001672476 0.0016335811 0.0016754678 0.0015707511 0.001543824 0.0016455487 0.0017173545 0.001603662 0.0070249974 0.006878394 0.0014750101 0.0014959534 0.0015976783 0.0016365731 0.0017712088 0.0016754678 0.0014570587 0.0016186216 0.0018489985 0.0016814517 0.0017622332 0.0016664921 0.0019028528 0.0016425569 0.0017053869 0.0016246054 0.0016006702 0.001510913 0.0016515326 0.0016605083 0.0016096459 0.0070758597 0.0014630425 0.0016814517 0.0018489985 0.0016216135 0.0014750101 0.0015587835 0.0016515326 0.0017233384 0.0018160875 0.0015348482 0.0015527997 0.0015797268 0.0068544587 0.0015168968 0.007030981 0.0015647673 0.0014839858 0.0015348482 0.0016186216 0.0018968689 0.0018101037 0.0014989454 0.0016934193 0.0014959534 0.0016545245 0.0016605083 0.0016934193 0.0016096459 0.0015976783 0.0015617755 0.001995602 0.0015617755 0.0019985938 0.0017891603 0.0018280551 0.006740766 0.0015258725 0.0014989454 0.0016664921 0.0016455487 0.0018609661 0.0016156298 0.0020614238 0.0015737431 0.0016904274 0.0016784598 0.0018400227 0.001639565 0.0016874354 0.0015916944 0.0016246054 0.0015707511 0.0017263303 0.0026837406 0.39384615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029432091 7.5120192e-06 1.2019231e-05 6.0096154e-06 1.953125e-05 2.1033653e-05 1.5024038e-06 7.5120192e-06 4.5072115e-06 1.50240385e-05 0.0 9.014423e-06 6.0096154e-06 7.5120192e-06 7.5120192e-06 9.014423e-06 0.0028605768 9.014423e-06 1.953125e-05 1.8028846e-05 7.5120192e-06 1.05168265e-05 1.953125e-05 1.50240385e-05 7.5120192e-06 1.2019231e-05 2.4038462e-05 1.953125e-05 1.50240385e-05 1.50240385e-05 1.3521634e-05 1.05168265e-05 0.0027058292 1.8028846e-05 1.2019231e-05 0.00014873798 1.05168265e-05 1.2019231e-05 4.5072115e-06 9.6153846e-05 3.0048077e-06 1.05168265e-05 7.5120192e-06 1.6526443e-05 3.0048077e-06 1.5024038e-06 2.4038462e-05 3.0048077e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023993389 9.014423e-06 7.5120192e-06 3.0048077e-06 5.5588942e-05 1.3521634e-05 1.953125e-05 0.000103665865 0.00021634615 0.0 1.2019231e-05 1.3521634e-05 4.5072116e-05 3.0048077e-06 3.90625e-05 0.00013671875 0.0064903847 7.96274e-05 3.0048077e-05 0.004073017 0.004248798 6.610577e-05 3.90625e-05 4.957933e-05 3.90625e-05 4.5072116e-05 4.2067306e-05 3.3052886e-05 4.5072116e-05 3.4555287e-05 4.356971e-05 2.5540865e-05 0.0009735577 7.5120192e-06 7.5120192e-06 0.00096003606 0.0009945914 7.5120192e-06 1.50240385e-05 9.014423e-06 2.1033653e-05 4.5072115e-06 6.0096154e-06 6.0096154e-06 1.8028846e-05 1.05168265e-05 1.6526443e-05 1.953125e-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 0.0025360577 1.50240385e-05 6.0096154e-05 0.00073016825 0.0010576923 0.00014122596 0.00072415866 0.00041466346 0.00021634615 0.0 1.3521634e-05 1.6526443e-05 4.5072116e-05 3.0048077e-06 4.2067306e-05 0.00013822115 0.0069516227 0.00045973557 0.0009014423 0.0016015625 0.0014873798 0.0006159856 0.00055588945 0.00053485576 0.00041015624 0.00026442308 0.00015775241 0.00028996394 0.00027794472 0.00029447116 0.00031550482 0.00026592548 0.0027779448 0.00017427884 0.00032602163 0.0003079928 0.00028094952 0.00029597356 0.0001171875 0.00053335336 0.00016376202 0.00022235577 7.2115385e-05 0.00018329328 0.00012319711 0.000103665865 0.00033203125 0.00013972356 0.0034435096 0.00041917068 0.00026442308 0.00068209134 0.0009359976 0.00036959135 0.00082181493 0.00056189904 0.00022085337 0.00021334135 0.00021935096 0.00019831731 0.00021935096 0.0002358774 0.000234375 0.0001908053 0.0031400241 0.0005483774 0.012304688 0.005093149 0.0005919471 0.0046063703 0.008266226 0.008777043 0.008865685 0.0040609976 0.0042022234 0.008128005 0.004271334 0.0080664065 0.004462139 0.00076923077 0.0029927886 0.0006730769 0.0020207332 0.0012184496 0.0018539664 0.0010246395 0.0012124398 0.0010697115 0.0010516827 0.00049128605 0.0006159856 0.0008804087 0.00068509614 0.0011583534 0.0006595553 0.0008533654 0.027605169 0.02695613 0.030640025 0.02778095 0.027196515 0.027073318 0.02940054 0.027791467 0.026732272 0.025827825 0.025597956 0.027148437 0.025895434 0.026814904 0.025758713 0.025626503 1422.0 6.8663855 9764.0 0.014645637 0.023453502 0.006964359 0.0062474394 0.007681278 0.006861942 0.0063498565 0.0054281033 0.005223269 0.0057353545 0.004916018 0.0054281033 0.004301516 0.0064522736 0.0060426053 0.0038918476 0.020483408 0.02181483 0.021609996 0.024375256 0.020790659 0.012392462 0.015362556 0.011368291 0.0108562065 0.011573126 0.0133142155 0.011675543 0.011163457 0.012187628 0.012597296 0.01556739 0.013211799 0.021712413 0.012699713 0.017103646 0.020483408 0.014952888 0.015772225 0.025809094 0.013006965 0.016386727 0.010139287 0.013723884 0.01351905 0.013723884 0.015055305 0.011982794 0.017308481 0.0059401887 0.0058377716 0.009115117 0.0055305203 0.004301516 0.006861942 0.0057353545 0.007886113 0.005120852 0.0055305203 0.006964359 0.0033797624 0.007169193 0.0055305203 0.0063498565 0.0056329374 0.009729619 0.0054281033 0.009115117 0.010139287 0.020483408 0.0058377716 0.0066571077 0.006759525 0.01177796 0.005325686 0.0060426053 0.012699713 0.006861942 0.009115117 0.012187628 0.007783695 0.0062474394 0.016489144 0.011368291 0.016693978 0.007783695 0.0059401887 0.007476444 0.0058377716 0.009524785 0.0062474394 0.0039942646 0.005223269 0.0055305203 0.0055305203 0.009934453 6.4032073 0.0 0.0 0.0 4.0 334235.0 356352.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1131885800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 7.0 1.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -93033.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -233472.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5130677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.33448 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -94057.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 -238592.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 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 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.02893872 0.0038029056 0.0048514875 0.0071522454 0.007597463 0.0038112535 0.006109229 0.0031448174 0.0041678916 0.0034221513 0.0035520066 0.0034541513 0.0034240063 0.0030775708 0.0034017453 0.012210109 0.003438383 0.0030840638 0.0029797156 0.0030163534 0.0036980938 0.0029463244 0.00277844 0.0028642372 0.0030117158 0.0028461502 0.0030024403 0.003095658 0.0029806432 0.0031267304 0.002840585 0.0028489328 0.0029421505 0.0030965854 0.0032556583 0.0030771072 0.0030868463 0.009526279 0.0028651648 0.0031508463 0.00293102 0.0028396575 0.0032607596 0.0044391965 0.0032310784 0.0046520666 0.002954672 0.002997339 0.0036786154 0.0038270217 0.004354791 0.008761987 0.004102037 0.0057145613 0.0040616887 0.0034522964 0.0036456878 0.0034193688 0.003938326 0.0066518383 0.0036480068 0.0038590217 0.0033794846 0.003470847 0.003890094 0.00299502 0.0029384403 0.0033609339 0.0068443026 0.0030344403 0.0029041213 0.003408702 0.0048102117 0.003141571 0.0029477156 0.0029477156 0.00449624 0.0030738607 0.0028971648 0.0029157156 0.003097513 0.0027408747 0.0030488172 0.0029263822 0.0054678363 0.0028929908 0.002900875 0.003671659 0.0029611648 0.0029073677 0.0034170498 0.003045107 0.0028595994 0.0029055127 0.002905049 0.0031091073 0.0030896289 0.0031387885 0.002804411 0.0031601219 0.0033048177 0.0031100349 0.01724896 0.0033637164 0.003049281 0.0029157156 0.002800701 0.0028317734 0.0034416295 0.0029379765 0.002950962 0.0032491654 0.0030284114 0.0028800054 0.002989455 0.0029393677 0.0031230203 0.0029347301 0.002796527 0.0030979768 0.002936585 0.0031285854 0.003015426 0.0030836 0.003151774 0.0033576875 0.0027696283 0.0029797156 0.0049651107 0.007878971 0.0030052229 0.0028266718 0.003521398 0.0059803007 0.0029838895 0.0028637734 0.0031990784 0.005452068 0.0034676006 0.00914738 0.002894846 0.0057563004 0.0027028455 0.0038298042 0.0030010492 0.002788643 0.0028577445 0.0027645268 0.0029152518 0.0027779762 0.0028095124 0.0027125848 0.0036405865 0.0029319474 0.0030775708 0.0029430778 0.003930442 0.0028531067 0.002742266 0.003289977 0.003103542 0.002798382 0.0027677733 0.0030149622 0.0031077159 0.0028336286 0.0027255702 0.0027246426 0.0029138604 0.002896701 0.002653686 0.0038687608 0.0030233099 0.0039763553 0.0029194257 0.002846614 0.0030344403 0.0027914254 0.0028058023 0.0029834257 0.0029453968 0.0030868463 0.0053124735 0.0032538031 0.0029416867 0.0027835413 0.0037249925 0.0034935717 0.0030984406 0.0029124692 0.0028776864 0.0031796 0.007098912 0.006195026 0.0038010506 0.0073442454 0.004637226 0.0044220374 0.0046117185 0.0038367608 0.0063661565 0.0032213393 0.0031856291 0.0029194257 0.0031322956 0.0033688177 0.0029755419 0.0030140346 0.0058161267 0.00470911 0.0044980953 0.004097399 0.0041869064 0.003011252 0.0030483536 0.0029936288 0.007807087 0.002914788 0.002944933 0.0029453968 0.003145745 0.0031369333 0.0030038317 0.002856353 0.0037435433 0.0030052229 0.0033275425 0.0029978026 0.0032936872 0.003089165 0.0029899187 0.0035200065 0.0034819774 0.013337996 0.0032422089 0.0030413968 0.0033414555 0.0034898615 0.0038548477 0.0031568755 0.0037069055 0.0031387885 0.0032357161 0.003288586 0.0033627888 0.0073354337 0.005123256 0.008677581 0.010124077 0.00753671 0.0037184996 0.00357705 0.00479769 0.0037806446 0.0049052844 0.013597706 0.00047528517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00044465155 1.8565827e-06 9.2829134e-07 3.4810926e-06 8.354622e-06 1.8565827e-06 2.552801e-06 2.0886555e-06 2.7848741e-06 2.3207284e-07 9.2829134e-07 1.3924371e-06 9.2829134e-07 1.1603641e-06 1.1603641e-06 9.2829134e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00082571513 4.2933476e-05 4.4325912e-05 0.00011882129 7.194258e-05 2.3439357e-05 4.154104e-05 1.8565826e-05 3.75958e-05 1.6941318e-05 1.6013026e-05 2.4367648e-05 3.597129e-05 2.5760084e-05 3.0633615e-05 5.1288098e-05 0.00024274818 9.282913e-06 3.2258125e-05 6.382003e-05 1.1139497e-05 6.2659665e-06 1.2299861e-05 4.409384e-06 1.48526615e-05 5.3376752e-06 6.4980395e-06 8.818768e-06 1.554888e-05 1.09074235e-05 1.1371569e-05 1.972619e-05 0.0018974275 0.0006871677 0.00065815856 0.010408699 0.0006458587 0.0006375041 0.0006741716 0.00064725114 0.00066372834 0.0006328626 0.00065467745 0.00062914944 0.0006247401 0.00064075313 0.0006282212 0.00065746234 4.2005184e-05 1.554888e-05 1.6013026e-05 0.00022023713 1.4156443e-05 1.392437e-05 1.6245098e-05 1.2764006e-05 1.8333754e-05 1.4620588e-05 1.4620588e-05 1.2764006e-05 1.554888e-05 1.5780954e-05 1.3460224e-05 1.9262046e-05 0.0001332098 1.1139497e-05 2.2743137e-05 4.5950423e-05 1.8565826e-05 1.1835715e-05 2.6688376e-05 8.354622e-06 3.2490196e-05 9.979132e-06 8.818768e-06 1.1603642e-05 3.6203364e-05 2.3439357e-05 1.9494119e-05 5.476919e-05 0.028051572 0.003301004 0.0077045863 0.0091367075 0.0071408814 0.004724771 0.010587395 0.0034311968 0.014184756 0.0031768451 0.003354613 0.004767008 0.01392321 0.009168734 0.010134389 0.023105867 0.06986019 0.04449161 0.049833465 0.0499864 0.048699558 0.045436148 0.05204396 0.044090126 0.055538975 0.04418574 0.044119366 0.04577567 0.05548792 0.051245395 0.052091766 0.06603006 9424.0 6.639113 62567.0 0.008630748 0.0074639986 0.0070004957 0.007064427 0.010820401 0.0064251125 0.0065050265 0.0062812665 0.008742628 0.006936564 0.0081672445 0.0113318525 0.0096696345 0.008470919 0.006696821 0.007400067 0.016829958 0.0171656 0.015535346 0.018987644 0.019882686 0.026147969 0.017373376 0.0148321 0.018012691 0.015119792 0.01718158 0.017501239 0.018108588 0.01711765 0.014959963 0.01505586 0.010484761 0.008023399 0.0073201526 0.00864673 0.012003133 0.008135279 0.008630748 0.016542267 0.009174165 0.007815622 0.0068566496 0.006808701 0.011028178 0.007975451 0.006792718 0.0069045983 0.00947784 0.0070004957 0.007799639 0.0087745935 0.012178944 0.00752793 0.0073681013 0.007895536 0.009062286 0.0071443412 0.0070804097 0.0072881873 0.009445874 0.006808701 0.006696821 0.006345198 0.008359039 0.0102769835 0.007607844 0.008854508 0.019994566 0.015647227 0.010676554 0.008151262 0.010181086 0.010484761 0.0070963926 0.007176307 0.01277031 0.008343056 0.01070852 0.01868397 0.009445874 0.00696853 0.010980229 0.010292966 0.015087826 0.008215194 0.00719229 0.0074480157 0.009397926 0.0074959644 0.008726645 0.01561526 0.009525788 0.0068406668 0.006984513 0.0063132322 6.4806256 0.0 0.0 0.0 21.0 2156246.0 7364608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1512983400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 961536.0 1024.0 4096.0 7.0 4.0 0.0 3.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17408.0 0.0 0.0 0.0 0.0 -3743232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8345456 0.0 0.0 0.0 0.0 0.0 0.0 -1984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 163004.0 0.0 0.0 0.0 0.0 0.0 0.0 -2438695.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -961510.0 0.0 17212.0 0.0 0.0 0.0 0.0 -3742768.0 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 3782.0 7182632.0 200.0 7276760.0 17212.0 7344128.0 0.0 0.0 16584.0 3763712.0 1984.0 7340032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 7335040.0 0.0 0.0 1224.0 4091904.0 0.0 0.0 0.0 0.0


Input: 0.1074431 0.0029242076 0.0015299304 0.0014402814 0.0021185465 0.0010262447 0.001120612 0.0010604529 0.0023202568 0.0026304894 0.0009460325 0.0009047468 0.0016962528 0.00088469376 0.0008091999 0.0019475059 0.0017457956 0.00082571415 0.0023521057 0.0008056611 0.0011170733 0.0009507509 0.0007478611 0.00068298355 0.0009790611 0.00082217535 0.0006912407 0.0008504856 0.00095428963 0.0031070444 0.0006888815 0.0007773509 0.0014685916 0.0007490407 0.0007042162 0.0008316121 0.0027968118 0.00077263254 0.00071365293 0.0009247998 0.0008646407 0.0007561183 0.00074314274 0.000933057 0.0008268937 0.0014497181 0.0007101142 0.0006546734 0.0011949263 0.0010073712 0.0011194325 0.0017446161 0.0010356815 0.0009991141 0.00092597946 0.0007891468 0.0010580937 0.0010816855 0.0008799754 0.0029831873 0.00075022026 0.0009896774 0.0007407836 0.0011052773 0.0011170733 0.000959008 0.000901208 0.00089295086 0.0010038324 0.0022294282 0.0012031834 0.0008575631 0.0009035672 0.0009200815 0.0007183713 0.00065939175 0.00083279173 0.0012857548 0.00094131415 0.00069359987 0.0017092283 0.0010392203 0.0007360652 0.0011017387 0.0007773509 0.0013400161 0.0012090814 0.0011831304 0.0009354162 0.0014107917 0.00079150597 0.0008681794 0.002452371 0.0014225875 0.0011666161 0.0010321427 0.0010757876 0.0011949263 0.0007903264 0.0009743427 0.0010262447 0.0015370079 0.0015322895 0.0006688285 0.00280153 0.0011229713 0.0030468851 0.0024806813 0.00112651 0.00092715904 0.0010368611 0.0010840447 0.0010144488 0.0023261546 0.0012633427 0.0011241508 0.0026540812 0.0025833058 0.0009365958 0.00083633047 0.00087407744 0.00078796723 0.00081155903 0.0023591833 0.00095664884 0.002458269 0.00081037945 0.00092597946 0.0011501019 0.0010368611 0.00070185703 0.0028841016 0.0010333223 0.0019545835 0.0008611019 0.0011477427 0.0025986405 0.0021787058 0.00083633047 0.005470946 0.00073960394 0.0018366242 0.00064169784 0.00073960394 0.0009177223 0.0006464162 0.0005909754 0.0023532854 0.00091064477 0.0007360652 0.0006051305 0.0006782652 0.00076909375 0.00064169784 0.00079976313 0.00067000807 0.0007171917 0.0007620162 0.0006534938 0.00067000807 0.0010144488 0.00089648966 0.0023591833 0.00073842437 0.00070893456 0.0006723672 0.00055794686 0.0006428774 0.00075375906 0.0006487754 0.0007053958 0.0007749917 0.0008504856 0.00070185703 0.00068180397 0.0006735468 0.00089648966 0.0006877019 0.00065703253 0.00086699985 0.0007584774 0.00074196316 0.000733706 0.0009436733 0.0008953101 0.00073134684 0.00077145296 0.00068180397 0.0007702733 0.0009778815 0.0007372448 0.00067472644 0.0020749017 0.0029466199 0.0010238856 0.0015440854 0.0011748733 0.0006947795 0.0011040978 0.0011866692 0.0027425506 0.001132408 0.00065703253 0.0006664693 0.0013506324 0.0008988488 0.002470065 0.00086935906 0.0026564405 0.00085284474 0.00085284474 0.0007608366 0.00093423657 0.00068180397 0.0008162774 0.00078442844 0.0025526364 0.0026446446 0.00068298355 0.0010014733 0.0007738121 0.00092715904 0.00067118765 0.00078796723 0.0011052773 0.0007820693 0.00068298355 0.00070185703 0.00083986926 0.00080212235 0.0006947795 0.0007348856 0.0027401913 0.0011807713 0.000733706 0.0014320243 0.0013588896 0.0008198162 0.00071247335 0.00064051826 0.0013329386 0.00078088965 0.00081391825 0.00089766923 0.0009943958 0.00068534276 0.0010993794 0.0010675305 0.0015322895 0.0008599223 0.00079622434 0.00078796723 0.0014662325 0.00085520395 0.0013293998 0.5993293 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.59079903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013891779 5.3202557e-06 4.7291164e-06 1.8916466e-05 5.3202557e-06 5.9113954e-06 7.0936744e-06 2.9556977e-06 2.3645582e-06 2.9556977e-06 4.1379767e-06 3.5468373e-05 2.6010139e-05 4.1379767e-06 2.9556977e-06 0.0009434587 0.082968794 0.001503859 0.0021753935 0.0015357805 0.0016676047 0.0018526313 0.0022014035 0.001766916 0.0014932185 0.0016339096 0.0014210994 0.0019365731 0.0014991298 0.0019631744 0.0015085881 0.0018307591 0.004529311 0.00018207097 0.0002766533 0.000115863346 0.0002258153 0.00013182411 0.00031980648 0.00023054442 0.00012886841 4.1379768e-05 3.783293e-05 4.1970907e-05 4.3153184e-05 7.389244e-05 8.7488654e-05 0.0007974472 0.0007607966 6.266079e-05 1.8916466e-05 0.0001046317 7.7439276e-05 1.5960768e-05 2.8374698e-05 1.8325325e-05 1.241393e-05 1.5960768e-05 1.5960768e-05 2.423672e-05 1.4778489e-05 1.241393e-05 1.0049372e-05 1.7734186e-05 0.0026802267 0.00021931276 0.0002677862 0.000104040555 0.0002766533 0.0001495583 0.0011875993 0.00090385234 7.448358e-05 5.2611416e-05 1.8916466e-05 2.660128e-05 4.5517743e-05 1.8916466e-05 1.1231651e-05 1.5960768e-05 0.0029432836 0.00053675467 0.00037123563 0.0002169482 0.0002258153 0.00012295702 0.0008955764 0.00090976374 0.00019507605 0.00015842539 6.679877e-05 8.216839e-05 6.975447e-05 5.4384836e-05 4.0197487e-05 0.00037478245 0.0038110765 0.00056572055 0.00033517613 0.002352144 0.00038483183 0.00033754067 0.0008719308 0.00076611683 0.00032630903 0.00034049636 0.0002825647 0.00027251532 0.0004338964 0.00032690016 0.00023231783 0.00046700024 0.001398045 0.00017497731 0.00013950893 0.00019803175 0.00013477981 0.00020571655 0.00013891779 0.00023231783 0.00087133964 0.00018443553 0.00016847477 0.00019980516 0.0002943875 0.00012591272 0.00018266212 0.0014039563 0.009007785 0.0015523324 0.00111016 0.0019850465 0.0016250425 0.0020601212 0.001308783 0.0023409126 0.0045819227 0.000559218 0.0006136028 0.00089025614 0.0022410098 0.0008098612 0.0018337148 0.003799845 0.011091551 0.003372451 0.0016439591 0.0023379568 0.0032719574 0.004490887 0.0022102706 0.004139159 0.008249352 0.00064729777 0.00087843335 0.0010274005 0.004477882 0.0017988376 0.00393226 0.0069630323 0.011107512 0.009856661 0.009503159 0.009386704 0.00816009 0.0097301565 0.013166451 0.011346923 0.009841882 0.009393798 0.009776857 0.007902353 0.013324285 0.013135712 0.008080877 0.008514183 1073.0 8.435228 9051.0 0.025632527 0.003535521 0.0038669761 0.004308916 0.0056347363 0.0044194013 0.0050823116 0.010827533 0.006629102 0.003535521 0.004087946 0.0048613413 0.0062976466 0.0036460059 0.0057452214 0.004087946 0.009391228 0.011269473 0.016351784 0.015909845 0.016130814 0.013589659 0.009391228 0.010827533 0.012816263 0.010938018 0.0077339523 0.008396862 0.006518617 0.009612198 0.0056347363 0.008949287 0.0050823116 0.0072920118 0.0054137665 0.0091702575 0.0072920118 0.006960557 0.007844437 0.0077339523 0.008617832 0.006076677 0.003756491 0.0059661916 0.007512982 0.0059661916 0.0058557065 0.0055242516 0.01756712 0.008065407 0.006518617 0.011490443 0.008617832 0.0054137665 0.009612198 0.009501712 0.007623467 0.0057452214 0.006629102 0.0049718264 0.0057452214 0.0057452214 0.0056347363 0.009059773 0.009501712 0.024859132 0.0068500717 0.019224396 0.01778809 0.04485692 0.0077339523 0.0077339523 0.026074467 0.020439731 0.025411557 0.021655066 0.02353331 0.0079549225 0.018782455 0.024527676 0.010938018 0.010496078 0.030493869 0.018119546 0.03712297 0.014473539 0.007181527 0.006076677 0.009612198 0.007623467 0.0045298864 0.009501712 0.004640371 0.003535521 0.003756491 0.0053032814 6.2851076 0.0 0.0 0.0 8.0 847751.0 864256.0 1.0 0.0 78.0 1.0 0.0 0.0 0.0 0.0 1536792300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 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 12.0 17.0 5.0 1.0 5.0 1.0 84480.0 1024.0 36864.0 5.0 0.0 0.0 2.0 2.0 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 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -616960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -195584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.669493 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.428809 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.617776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28446.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -620376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -198863.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 116404.0 0.0 0.0 0.0 0.0 0.0 0.0 5056.0 741376.0 28.0 112720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 112752.0 0.0 0.0 332.0 90112.0 0.0 0.0 0.0 0.0