Input: 0.12928876 0.0042420817 0.00087587314 0.0010104117 0.0010104117 0.00063150725 0.0012465405 0.00042832666 0.00038714142 0.0014277556 0.01021669 0.0003569389 0.00024162018 0.01019747 0.00029653384 0.0002745684 0.00029927952 0.00026907702 0.00022240038 0.0007221148 0.00021690901 0.00029653384 0.00029378815 0.00022789175 0.00024436586 0.00018945218 0.00022514607 0.00025809428 0.00029927952 0.00036243026 0.000321245 0.00024162018 0.07440803 0.00065621844 0.012827835 0.00029927952 0.0002745684 0.00021690901 0.014848658 0.00025809428 0.00047774898 0.00045029214 0.00035144752 0.00036792163 0.0002910425 0.0022020384 0.0066308263 0.0111666955 0.0062217196 0.0034156307 0.0025507403 0.0007056407 0.0011174933 0.00070289505 0.00068916666 0.00066445547 0.0009774634 0.00066445547 0.003750604 0.014829438 0.0054776394 0.007004239 0.00552157 0.00079075695 0.0002745684 0.0035529148 0.0024216932 0.009475355 0.0035007468 0.004448008 0.0035638975 0.00046127487 0.00063425297 0.0056451256 0.000321245 0.0005106972 0.0028774766 0.004486447 0.004964196 0.003690199 0.003931819 0.0019659095 0.0058455607 0.010598339 0.0066637746 0.0026413477 0.0012932171 0.0009143127 0.00086763606 0.00032399068 0.00029653384 0.00017846945 0.00022789175 0.00020867196 0.00021141765 0.0031108598 0.00020043492 0.022992356 0.0022020384 0.013783333 0.008305693 0.05304112 0.0046319687 0.015686091 0.0039537847 0.02401375 0.0006369986 0.0032344155 0.024334995 0.009708738 0.025128499 0.026130673 0.016301125 0.0023640338 0.025232835 0.030740676 0.04870294 0.016309362 0.0058235954 0.0028170715 0.0063452753 0.0066692657 0.00020043492 0.00093902386 0.00026358565 0.00092254975 0.00014826692 0.00017846945 0.0054913675 0.0016885955 0.0040471377 0.001441484 0.00256996 0.0026495848 0.0015211088 0.0016336818 0.002196547 0.0030861485 0.0018341168 0.001867065 0.002858257 0.002622128 0.0009994289 0.0013618591 0.001606225 0.00044205508 0.0003898871 0.0008950929 0.0011998639 0.0013783333 0.0010790537 0.0009884462 0.0010049202 0.0008017397 0.0030147608 0.0011531872 0.0033826823 0.00093078683 0.0011339674 0.0014167728 0.0010213944 0.0016995782 0.00034321047 0.0016117163 0.0014250099 0.0014140272 0.0011559329 0.001449721 0.0021581075 0.00045303782 0.000746826 0.0004557835 0.00085116195 0.001337148 0.004192659 0.0026413477 0.0014552124 0.00068916666 0.00052167993 0.0008813645 0.0005656109 0.00024711154 0.00095275225 0.0013536221 0.0029186618 0.0009911918 0.0025315206 0.0024436587 0.0013536221 0.0029021879 0.001441484 0.001397553 0.00013453851 0.00016474102 0.00013453851 0.00018396082 0.00014826692 0.00015924966 0.00016748671 0.00015924966 0.00014552125 0.0001372842 0.00017297808 0.00018121513 0.00014277556 0.00015924966 0.00016199534 0.00015375829 0.00018396082 0.0001180644 0.00017297808 0.00014826692 0.00012081009 0.00012355577 0.00014552125 0.00015375829 0.00017572376 0.0001180644 0.00012081009 0.0001510126 0.00011531872 0.00014826692 0.0001180644 0.00017846945 0.00014552125 0.00016748671 0.0010790537 0.002778632 0.005532553 0.012424219 0.009263937 0.007240368 0.006175043 0.002265189 0.00018121513 0.0001180644 0.00014826692 0.00017572376 0.0001372842 0.00092254975 0.0001372842 0.00014002988 0.00017572376 0.00014002988 0.00015924966 0.00016474102 0.00011531872 0.00027731407 0.00014826692 0.00015375829 0.00012630146 0.00013453851 0.00015375829 0.00012355577 0.00014552125 0.00017572376 0.025415452 0.0 0.0 5.5173023e-06 0.0 2.7586511e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026910643 1.3793256e-06 1.10346045e-05 1.241393e-05 6.896628e-06 9.6552785e-06 5.3793698e-05 3.8621114e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026427878 1.6551907e-05 3.448314e-05 5.5173023e-06 2.8965836e-05 1.10346045e-05 4.2759093e-05 1.9310557e-05 4.1379767e-06 1.3793256e-06 0.0 6.896628e-06 2.7586511e-06 2.7586511e-06 1.3793256e-06 4.1379767e-06 0.002486924 5.5173023e-06 3.448314e-05 2.6207186e-05 2.0689884e-05 2.3448534e-05 7.172493e-05 4.689707e-05 9.6552785e-06 1.241393e-05 9.6552785e-06 1.6551907e-05 1.6551907e-05 1.241393e-05 1.5172581e-05 1.6551907e-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 0.0043462547 2.0689884e-05 0.000102070095 0.00010620807 0.00013655324 0.00010344942 0.0005282817 0.0002593132 1.6551907e-05 5.5173023e-06 2.7586511e-06 8.275953e-06 0.0 2.7586511e-06 8.275953e-06 2.7586511e-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 0.04253564 0.00016827772 0.0017848472 0.00054345425 0.0066331765 0.004309013 0.03172311 0.01607466 8.8276836e-05 7.862156e-05 0.00012689795 0.00016000177 0.000102070095 8.138021e-05 4.689707e-05 6.344898e-05 0.0356666 0.00029931366 0.004857985 0.0023627847 0.0049379854 0.0037172823 0.024389235 0.013092558 0.00021517479 0.00021517479 0.00013241525 0.00011448402 0.00014896716 0.000102070095 6.896628e-05 7.448358e-05 0.022567146 0.000177933 0.09829763 0.038302492 0.027594788 0.018809862 0.14924854 0.110301904 0.00014482919 9.241481e-05 8.8276836e-05 0.000104828745 0.000107587395 7.862156e-05 8.413886e-05 0.00010069077 0.006986284 0.00029379636 0.0075131864 0.0046648793 0.0036290055 0.0029834812 0.013922912 0.009492518 0.00023172669 0.00015310514 0.00020827816 0.00020827816 0.00013241525 0.00013655324 0.00021655411 7.448358e-05 0.00057655806 3.3103814e-05 0.0013144973 0.0005241437 0.0010248389 0.00088276836 0.001376567 0.0016069143 0.008466301 0.004834536 0.004808329 0.0052566095 6.896628e-06 4.1379767e-06 0.011649784 6.896628e-06 0.0053173 0.00039172845 0.006000066 0.002266232 0.0030138264 0.003749007 0.008670441 0.0072773215 0.019454008 0.010400115 0.011507713 0.011255297 0.00017517434 0.00016827772 0.026019597 0.00015310514 0.0015007062 8.413886e-05 0.0029227908 0.0016841565 0.0012648415 0.001885538 0.003482797 0.002744858 0.0067049013 0.003253829 0.0040772865 0.0038028006 4.4138418e-05 4.8276393e-05 0.008805614 6.620763e-05 0.005656614 0.0018551929 0.0018607102 0.0027779618 0.0015407066 0.0016579493 0.0031793455 0.002160024 0.0014165674 0.0009103549 0.00095587265 0.000830354 0.00082483666 0.00079587084 0.00087173376 0.0009544933 0.0026165806 0.0011434609 0.0013420838 0.0017282949 0.0010275976 0.0011310469 0.0019586424 0.0013958775 0.0010869085 0.00086483714 0.0010220802 0.00087173376 0.0008703544 0.0007765603 0.0011075984 0.000830354 4795.0 43.553078 208837.0 0.12806639 0.00076135935 0.021921404 0.00012449901 7.661478e-05 6.703793e-05 0.025565393 3.830739e-05 0.00042138126 0.0004309581 3.3518965e-05 7.1826355e-05 0.00011013374 0.0034524533 0.011123508 0.019043561 0.00804934 0.0048698266 0.0038067966 0.0008619162 0.0013647007 0.0008858584 0.00072784035 0.0007182635 0.001254567 0.000814032 0.0060429904 0.025579758 0.009131524 0.011851348 0.009160254 0.0011157027 3.3518965e-05 0.005114036 0.0029353036 0.013235203 0.004027064 0.006320719 0.0043287347 0.0003687086 0.00029209384 0.0072065773 8.14032e-05 0.0004261697 0.004027064 0.0054348605 0.0064260643 0.005798781 0.004927288 0.0029783994 0.00850424 0.015279859 0.0106207235 0.0022218286 0.0015897566 0.0010869722 0.0010390879 0.00021069063 0.00013407586 9.0980044e-05 3.3518965e-05 6.703793e-05 3.3518965e-05 0.002566595 3.3518965e-05 0.03158923 0.0031220522 0.019421846 0.010716491 0.07489094 0.0070629246 0.0228743 0.0046974435 0.032479875 0.0007948783 0.0038834114 0.03748857 0.014872843 0.03587487 0.03911184 0.024559824 0.0035913177 0.03769926 0.045523543 0.07485742 0.025105704 0.008389318 0.004477176 0.009830633 0.01078353 3.830739e-05 0.0005123613 0.00021069063 0.0004884192 9.576847e-06 2.3942117e-05 5.182238 2.0 261.0 0.0 1.0 364208.0 360448.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1515545700.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 335872.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -335872.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.017461 0.0 3.5526571 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 -332116.0 0.0 1240.0 0.0 0.0 0.0 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 340220.0 1240.0 344064.0 0.0 0.0 16048.0 348160.0 12.0 352256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.19483143 0.029248768 0.004031327 0.0029248768 0.00987146 0.0027516934 0.0021455511 0.0033674568 0.011314655 0.0012700123 0.0015682728 0.0012507697 0.007341056 0.0012796336 0.0012507697 0.002713208 0.03353025 0.00078894704 0.0007215979 0.00092364533 0.003405942 0.0067349137 0.0011064501 0.0006831127 0.0030307113 0.0010583436 0.0009813731 0.0010872075 0.0042045102 0.0006350062 0.0005387931 0.0006061422 0.004801031 0.0008081897 0.00092364533 0.0010775862 0.0060421797 0.00085629616 0.0006638701 0.0008659175 0.0013950893 0.00040409484 0.0006350062 0.0012892549 0.0015778941 0.0018184268 0.0016260006 0.0003848522 0.0049549723 0.0030691964 0.0025785097 0.0071678725 0.0032712438 0.0023860838 0.0022898708 0.0020878233 0.0034444274 0.002867149 0.002299492 0.004194889 0.002770936 0.0024341904 0.0022802495 0.0023283558 0.0049261083 0.0026651016 0.0012411484 0.0035406405 0.00346367 0.008611068 0.0026747228 0.00213593 0.0019242611 0.0011256927 0.0008755388 0.0006350062 0.0016548645 0.0062442273 0.0016356219 0.0012796336 0.007023553 0.003656096 0.0015875153 0.0049934573 0.0028382852 0.005763162 0.0068503693 0.0044835284 0.0019627463 0.0021263084 0.0006734914 0.0019146397 0.0012892549 0.004560499 0.0036464748 0.0048876232 0.001828048 0.0071678725 0.0014720598 0.004435422 0.005724677 0.013517934 0.0021551724 0.0031942734 0.0045797415 0.009765625 0.004060191 0.0007408405 0.007783636 0.0024919182 0.008226216 0.007918335 0.006292334 0.0012411484 0.008274322 0.007899092 0.017356835 0.010063886 0.003059575 0.0022513855 0.003377078 0.003588747 0.0005387931 0.0006061422 0.0009428879 0.002395705 0.0008659175 0.0005291718 0.005666949 0.0027516934 0.002645859 0.008967057 0.0019338824 0.010352525 0.0008851601 0.00058689964 0.0018665333 0.013171568 0.0007408405 0.041448582 0.0011930419 0.0104391165 0.0003175031 0.00043295874 0.0016356219 0.00040409484 0.00025015394 0.0010775862 0.001067965 0.00061576354 0.00064462743 0.00025977523 0.001010237 0.0003175031 0.0001924261 0.00022129003 0.0007697044 0.00048106528 0.0003175031 0.00041371613 0.001606758 0.001135314 0.0001731835 0.0006061422 0.0010775862 0.0016741072 0.000346367 0.00023091133 0.0008851601 0.00043295874 0.00025015394 0.00021166872 0.00079856836 0.00028863916 0.00024053264 0.00025015394 0.0015201663 0.0006061422 0.0003656096 0.000346367 0.0008081897 0.0008851601 0.00043295874 0.0003848522 0.0027805574 0.00041371613 0.001953125 0.00046182267 0.00096213055 0.00027901787 0.0009044027 0.0005484144 0.0061864993 0.0016741072 0.0036753386 0.003059575 0.0013950893 0.00058689964 0.0028863917 0.0042622383 0.0025111607 0.0025785097 0.00049068657 0.00092364533 0.02601601 0.00065424875 0.0025304034 0.001135314 0.0016163794 0.0005099292 0.00085629616 0.0003848522 0.0011545566 0.00022129003 0.0025111607 0.0005099292 0.0018472907 0.0007215979 0.00025977523 0.0015875153 0.0014913024 0.0006831127 0.00051955046 0.00024053264 0.0024245689 0.00014431958 0.00021166872 0.00021166872 0.0018472907 0.00043295874 0.00045220135 0.0003175031 0.0130561115 0.003877386 0.00044258006 0.003627232 0.006523245 0.00027901787 0.0003559883 0.00042333745 0.0051473984 0.0015490302 0.0003656096 0.0005772783 0.0017414563 0.00024053264 0.002713208 0.0007119766 0.0040217056 0.0011737993 0.00046182267 0.00042333745 0.0051858835 0.001356604 0.003973599 0.05308074 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014736328 0.0011767579 0.00030761719 0.00018066406 0.00029296876 0.00045898437 0.0007714844 0.00033203125 0.0001171875 0.00019042968 6.8359375e-05 6.8359375e-05 5.859375e-05 0.00012207031 3.4179688e-05 0.0010839844 0.061279297 0.0024316406 0.00094726565 0.0007910156 0.00359375 0.0037939453 0.020307617 0.010839844 0.0011376953 0.0005859375 0.00024902343 0.0001953125 0.00037109375 0.00032226564 0.00023925782 0.002915039 0.007875976 5.859375e-05 0.0007910156 0.00014160156 0.0010546875 0.0012109375 0.011982422 0.006352539 7.324219e-05 0.00015625 6.347656e-05 6.8359375e-05 3.4179688e-05 6.8359375e-05 4.3945314e-05 2.4414063e-05 0.03949707 0.002006836 0.004941406 0.0031640625 0.003984375 0.0034716798 0.025371093 0.012456055 0.00057617185 0.0008740234 0.0007324219 0.00059082033 0.00057128904 0.0005371094 0.0004248047 0.00080078124 0.021357423 0.0023925782 0.0011279297 0.0007421875 0.002182617 0.0019628906 0.008779297 0.0048046876 0.0021875 0.001118164 0.00061523437 0.0004296875 0.00047363283 0.0005322266 0.00032714845 0.0009667969 0.0089306645 0.0034765624 0.0023632813 0.024814453 0.0021875 0.0015234374 0.0017236328 0.0017236328 0.0017333984 0.0019042969 0.0016210937 0.0016064453 0.0015527344 0.0017138672 0.0015820313 0.0015429688 0.016323242 0.0076904297 0.0020214843 0.0011816407 0.0030371093 0.00234375 0.0025976563 0.0026708983 0.0055371094 0.0013916015 0.0010839844 0.0013476562 0.002182617 0.0013183594 0.0020947265 0.0071777343 0.084980465 0.0325 0.009711914 0.011748047 0.02190918 0.034506835 0.01116211 0.024130858 0.07411133 0.0027148437 0.0044238283 0.0068164063 0.04489746 0.008120117 0.023251953 0.055014648 0.021098632 0.008745117 0.0028662109 0.0036865235 0.006591797 0.009394531 0.0031396484 0.006689453 0.019125976 0.00067871093 0.0012060547 0.0024072265 0.0110302735 0.002373047 0.0068261717 0.014140625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 793.0 14.039092 11133.0 0.01679691 0.0013473458 0.0003592922 0.0003592922 0.007455313 0.00080840744 0.0009880535 0.0007185844 0.0027845146 0.0003592922 0.00062876137 0.00044911524 0.0027845146 0.014012395 0.008892482 0.0007185844 0.013024342 0.013024342 0.008623012 0.008623012 0.011407527 0.0070061977 0.0065570828 0.0062876134 0.01149735 0.00736549 0.007724782 0.010419474 0.009161951 0.007185844 0.005658852 0.0089823045 0.0064672595 0.007904428 0.0017066379 0.01356328 0.004311506 0.004850445 0.0026946915 0.0025150455 0.0047606216 0.0064672595 0.0005389383 0.0005389383 0.0049402677 0.0033234528 0.0047606216 0.0014371688 0.009611066 0.0023353992 0.0046707983 0.005748675 0.008712836 0.0015269918 0.0045809755 0.003952214 0.0047606216 0.0010778765 0.0023353992 0.0013473458 0.0049402677 0.0008982305 0.0014371688 0.010778766 0.0024252224 0.04841462 0.0059283213 0.023174347 0.030180544 0.079673044 0.006916375 0.017605318 0.01149735 0.050300907 0.001796461 0.003952214 0.039342497 0.014820803 0.048055332 0.049133208 0.017246025 0.0007185844 0.05003144 0.033414174 0.06476242 0.018773017 0.0083535435 0.007185844 0.011048235 0.006916375 0.0017066379 0.00044911524 0.0025150455 0.0007185844 0.0009880535 0.00044911524 5.6069107 0.0 0.0 0.0 2.0 103936.0 122880.0 1.0 1.0 114.0 1.0 1.0 0.0 1.0 0.0 2532911000.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 15.0 10.0 0.0 10.0 0.0 89088.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89088.0 -4608.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.641215 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4000742 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.222456 -5.3677087 1.3644966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1900.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88643.0 -4544.0 1184.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 99.0 92640.0 440.0 98848.0 1192.0 110592.0 0.0 0.0 0.0 0.0 6052.0 114688.0 84.0 22256.0 0.0 0.0 0.0 0.0 24.0 8972.0 164.0 8808.0 0.0 0.0 540.0 98304.0 64.0 92528.0 0.0 0.0


Input: 0.109108955 0.00444973 0.008371793 0.0030714949 0.0033707689 0.002709216 0.0027407187 0.003158127 0.0029927387 0.0032053806 0.0024414447 0.0027564699 0.0027013405 0.0025280765 0.0026619623 0.0030006142 0.0033628931 0.002835226 0.0027879723 0.0030478681 0.003197505 0.0031423755 0.00300849 0.0031738782 0.0031345 0.0028746042 0.0030163655 0.0031896294 0.0028115993 0.0035125301 0.0029769875 0.0035755353 0.0048750136 0.0049301432 0.004300093 0.0035440326 0.0034652764 0.0033550176 0.003347142 0.0028667287 0.003032117 0.0028982311 0.002543828 0.008285161 0.0031660025 0.0039929436 0.0032526343 0.003236883 0.005056153 0.005253044 0.0051112827 0.005465686 0.006072109 0.004300093 0.0043158443 0.0041662073 0.0039063115 0.003874809 0.003898436 0.004189834 0.004229212 0.0042449636 0.0037960527 0.004134705 0.0053239246 0.005820089 0.005095531 0.00470175 0.0057964623 0.0043315953 0.004591491 0.005465686 0.0040086946 0.004433979 0.004134705 0.0040323217 0.004150456 0.004087451 0.004040197 0.0036700426 0.0040086946 0.003032117 0.002984863 0.0033943958 0.0033392664 0.0028982311 0.0036149132 0.008387544 0.0031502512 0.0029061069 0.0029376093 0.0031660025 0.0081434 0.002921858 0.002921858 0.00300849 0.0029376093 0.008883708 0.008111897 0.0032920125 0.0035125301 0.009482256 0.0032290076 0.0032762613 0.0032290076 0.003347142 0.008167027 0.0029533606 0.0037409232 0.0025753304 0.0030163655 0.0036936696 0.0029927387 0.0029061069 0.004087451 0.0036857938 0.0035440326 0.0031187488 0.0028982311 0.0028903554 0.0027407187 0.0026619623 0.0025123253 0.0025123253 0.0025280765 0.008434798 0.003347142 0.0038354308 0.002921858 0.0031266243 0.0027485942 0.003087246 0.002795848 0.0032290076 0.007647235 0.0027643454 0.0030006142 0.0027485942 0.002669838 0.0038275553 0.0023311859 0.0029927387 0.0024335692 0.0025989572 0.0025123253 0.0025359523 0.0026934647 0.0025123253 0.002646211 0.002709216 0.0025753304 0.002772221 0.0023784398 0.0026777135 0.0026540866 0.0026383353 0.0024020665 0.0025123253 0.0077811205 0.0025359523 0.00771024 0.0024650716 0.0024414447 0.0026147086 0.002496574 0.0021500464 0.002220927 0.0021027927 0.0024178177 0.0026619623 0.0027407187 0.0075212247 0.0025910817 0.0022760564 0.0024414447 0.0030399924 0.003032117 0.0024650716 0.0027013405 0.0026619623 0.002543828 0.0026383353 0.0076551107 0.0025910817 0.002543828 0.0025123253 0.0022524297 0.008056767 0.002921858 0.0024650716 0.0029769875 0.0025123253 0.0029376093 0.002606833 0.0029454848 0.007536976 0.0026383353 0.0024493204 0.0024808228 0.0024650716 0.0026147086 0.0025517035 0.002370564 0.0026147086 0.00288248 0.0022366783 0.0022996834 0.0025989572 0.0028509775 0.0024808228 0.0031896294 0.002543828 0.002669838 0.0023548128 0.0025123253 0.007198324 0.0026540866 0.0028431017 0.0023784398 0.0026855893 0.002835226 0.008261533 0.0034180225 0.002858853 0.0030006142 0.0025359523 0.0029061069 0.0024729471 0.0028509775 0.0027879723 0.0027013405 0.002520201 0.0033392664 0.0027643454 0.003898436 0.002709216 0.0030006142 0.0027485942 0.002583206 0.0026383353 0.002583206 0.007820499 0.0027643454 0.0024493204 0.002858853 0.0025674547 0.0026619623 0.0028667287 0.003032117 0.0024650716 0.0024493204 0.0026540866 0.0027170917 0.0024886986 0.0025595792 0.005087656 0.024590164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-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 0.0063916817 2.4013832e-05 2.0011526e-05 8.00461e-06 0.0001480853 3.602075e-05 5.202997e-05 0.00027615906 0.000576332 0.0 3.201844e-05 3.602075e-05 0.00012006916 8.00461e-06 0.00010405994 0.0003642098 0.019927477 0.00021212218 8.0046106e-05 0.013615843 0.014112129 0.00017610143 0.00010405994 0.00013207608 0.00010405994 0.00012006916 0.00011206455 8.8050714e-05 0.00012006916 9.205302e-05 0.000116066854 6.803919e-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 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.012255059 0.0009605533 0.0018810835 0.0010005763 0.002109215 0.00090452103 0.001192687 0.0007244173 0.000956551 0.00018810834 0.00042424435 0.0003642098 0.00034820056 0.00040423285 0.0003602075 0.0005162974 0.0032978996 0.00020411758 0.00043625128 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0013487769 0.00019211066 0.00017209913 0.000108062246 0.00023613601 7.20415e-05 3.602075e-05 0.0006603804 0.00016009221 0.005387103 0.0008164703 0.0003682121 0.0015689037 0.002189261 0.0006923988 0.0018970927 0.0012126985 0.00032818902 0.00027215676 0.00025214523 0.00020811988 0.0002961706 0.00032818902 0.0003602075 0.00021612449 0.0073602395 0.0012287077 0.0022933208 0.002961706 0.001324763 0.0038662269 0.0067678983 0.0038181993 0.00282963 0.0016409452 0.002961706 0.0032018442 0.001953125 0.0031738281 0.0012287077 0.00256948 0.0090812305 0.001953125 0.006011463 0.0029537014 0.004990875 0.005847368 0.008897125 0.0037701717 0.0039422708 0.002661533 0.0048067686 0.0049228356 0.0030497566 0.005527184 0.0015128714 0.0038422132 0.04430552 0.04425749 0.0500008 0.04416944 0.045101978 0.048620004 0.052218076 0.041659996 0.041419856 0.041351818 0.041151702 0.04326492 0.04019115 0.044221472 0.04093958 0.04204422 1804.0 6.3985586 11543.0 0.012128563 0.018885905 0.0051113227 0.0032920386 0.0047647925 0.0043316297 0.0037252014 0.0044182623 0.0036385688 0.0034653037 0.002772243 0.04981374 0.0036385688 0.004851425 0.0040717316 0.003811834 0.016200295 0.016460191 0.01741315 0.019145804 0.017239885 0.00935632 0.011955298 0.00900979 0.008749892 0.008749892 0.011175605 0.009183055 0.009269687 0.0102226455 0.010309278 0.011522135 0.011262237 0.01741315 0.0102226455 0.01403448 0.01706662 0.011002339 0.012301828 0.021831414 0.010655808 0.012908256 0.008663259 0.011608767 0.010829074 0.011088972 0.012475093 0.00970285 0.013081522 0.003985099 0.0045915274 0.0069306074 0.0038984667 0.0030321407 0.005371221 0.05007364 0.005891016 0.0044182623 0.003811834 0.00467816 0.04747466 0.0047647925 0.0045915274 0.00502469 0.003985099 0.008749892 0.0049380576 0.0074504027 0.008316729 0.01706662 0.00502469 0.0056311185 0.005977649 0.010136013 0.047041498 0.004851425 0.0116954 0.0058043837 0.0078835655 0.010482543 0.004504895 0.0045915274 0.012475093 0.007970198 0.012301828 0.00502469 0.0040717316 0.00502469 0.003811834 0.00467816 0.0026856104 0.00233908 0.0034653037 0.047041498 0.0040717316 0.0075370353 6.136078 0.0 0.0 0.0 4.0 126974.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.21572566 0.012245749 0.007848529 0.007053728 0.012505485 0.0045784432 0.0034475452 0.0038234359 0.011422447 0.002672103 0.002038628 0.0019778616 0.007810887 0.0031480158 0.0019757107 0.0060475892 0.007825406 0.0027866447 0.0015659416 0.0012352224 0.004806989 0.0038196715 0.00095666555 0.0007818953 0.003676091 0.0020596003 0.00061142707 0.00068778824 0.0046021044 0.0015449692 0.0008426616 0.00072328007 0.0054458417 0.0005221598 0.00062487094 0.0009039656 0.021589775 0.0015417427 0.00049634755 0.00079695246 0.002430651 0.0005183955 0.0006135781 0.0022628717 0.0017283435 0.0006506832 0.0007404882 0.00075446983 0.0023424593 0.00062809745 0.00085502997 0.004053595 0.0019654934 0.000773829 0.0005243108 0.0005753975 0.0018869812 0.0013105081 0.00068886374 0.0036529675 0.0021848972 0.0012475909 0.0005044139 0.00069262803 0.0037019032 0.0016740303 0.0010583012 0.0017891098 0.008184088 0.009944697 0.0032426608 0.0013723499 0.003244274 0.0011948909 0.00087277585 0.0011696165 0.006464887 0.010017832 0.0023768756 0.0013734255 0.012060224 0.0069235917 0.00548456 0.004253102 0.0054044346 0.006173424 0.010981488 0.0055991015 0.0024086032 0.002387093 0.0035723043 0.0030442292 0.0017724395 0.0025909021 0.003465829 0.0024478594 0.0015014111 0.0016466049 0.0006361638 0.0010308757 0.004337529 0.0033287015 0.002893658 0.000832982 0.0060841567 0.0015772345 0.007306473 0.0007254311 0.0023736493 0.000835133 0.001661662 0.0015492713 0.0020106647 0.0004877435 0.0017428629 0.0016299344 0.009592468 0.0066961213 0.001065292 0.0009039656 0.001755769 0.0006323995 0.0005673312 0.00050602714 0.0025027103 0.0019418321 0.0015863763 0.0008055565 0.0033905432 0.0023053542 0.0006017475 0.010992244 0.0042579416 0.007597398 0.0026742541 0.00070660963 0.0031969515 0.01730172 0.0021585473 0.044627186 0.0015428182 0.02165108 0.002172529 0.000572171 0.013699301 0.0005893791 0.0005124802 0.002206945 0.0012739408 0.0012685633 0.0009883931 0.0003796548 0.0011341246 0.0012717898 0.00045117617 0.00040062724 0.0012067215 0.00046838433 0.0010803492 0.00037589052 0.0011959664 0.0015084018 0.00036352215 0.00041675987 0.0010921798 0.00088568195 0.00030114263 0.00034416298 0.0012185521 0.00032211505 0.00075554533 0.0005318394 0.0009840911 0.00037158848 0.0004129956 0.0004226752 0.0015315253 0.00034900277 0.00038879664 0.00067595765 0.0010384043 0.0005818506 0.00047376187 0.0012131745 0.003536275 0.0012744786 0.00044364762 0.000657674 0.0011163787 0.0008518034 0.00095182576 0.0011411154 0.007820029 0.0039492706 0.003936902 0.0036685625 0.0047419206 0.00076361164 0.0060314564 0.0045929626 0.0042450354 0.0019418321 0.0010615278 0.0014363427 0.007827557 0.0007883484 0.0032297545 0.0020515341 0.0021171402 0.0013400847 0.0008211514 0.00066412706 0.0012416756 0.00055442506 0.0006544475 0.00086954935 0.0022752401 0.0011959664 0.00050602714 0.0012190898 0.0017826568 0.0005694822 0.0004237507 0.00055711385 0.0025656277 0.0012142501 0.00073995045 0.00037535277 0.0020004474 0.0006436923 0.0004140711 0.0004651578 0.022215722 0.0066912817 0.0007700647 0.0032604067 0.00452413 0.0006609005 0.00043988333 0.00069961883 0.003207169 0.0017116731 0.00073403516 0.0018213751 0.0015438937 0.0004958098 0.0017912608 0.0012798562 0.004066501 0.0013002908 0.0010626032 0.0016094998 0.0060470514 0.0031904986 0.0036379104 0.046176456 0.01101767 0.0 0.0 0.0 0.0 0.0 8.0707645e-07 8.0707645e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005194882 8.608816e-06 9.684917e-06 0.0 2.690255e-07 2.6902549e-06 2.690255e-07 2.690255e-07 6.187586e-06 0.0 5.38051e-07 5.38051e-07 0.0 2.690255e-07 2.690255e-07 1.8831784e-06 0.0020166151 6.295196e-05 2.4212293e-05 5.9185604e-06 5.649535e-06 1.7486656e-05 5.3805097e-06 6.4566116e-06 5.9185604e-06 4.8424586e-06 1.2644197e-05 4.573433e-06 5.1114844e-06 7.5327134e-06 7.801739e-06 1.0761019e-05 0.0004898954 0.0 8.070764e-06 5.3805097e-06 9.953943e-06 3.2283058e-06 2.2060089e-05 1.129907e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.076102e-06 0.0022945183 5.541925e-05 6.75254e-05 3.282111e-05 1.8831784e-05 2.3674242e-05 8.178375e-05 4.654141e-05 4.2506028e-05 2.0714962e-05 9.146866e-06 1.0761019e-05 1.37203e-05 1.425835e-05 8.877841e-06 1.37203e-05 0.0030631241 7.801739e-05 4.654141e-05 2.3674242e-05 4.0084797e-05 5.9185608e-05 7.505811e-05 5.2459967e-05 0.0001277871 1.6410555e-05 1.5603478e-05 2.0445937e-05 6.349001e-05 1.5603478e-05 4.3044078e-05 0.0006671832 0.008871115 0.0002184487 0.00019719568 9.631112e-05 0.00021306818 0.0005932012 0.00022732653 0.00018643466 0.00034031723 0.0002916236 3.6587466e-05 0.00019907886 0.00017809487 6.0530732e-05 8.178375e-05 0.0014320227 0.041383114 0.0012676481 0.0016437457 0.0007610731 0.0010739497 0.003908133 0.00252319 0.0014731835 0.00078125 0.0012606534 0.00052944216 0.00047267778 0.0007643014 0.00033332256 0.00044927254 0.004735925 0.022068968 0.0007425103 0.0015477036 0.0011777936 0.0012593083 0.0022111204 0.0032915268 0.0017935929 0.00048935734 0.00047752023 0.00043366908 0.00024965566 0.00047375387 0.0002364734 0.00029512096 0.0018194193 0.011346149 0.0004866671 0.0011183389 0.00051760505 0.0016760287 0.0019044314 0.004435961 0.0022130036 0.00038013302 0.0009273308 0.0001815922 0.00019342933 0.00022302213 0.00029000948 0.00024938662 0.0008541559 0.005870405 0.00040595946 0.0004266744 0.00042721248 0.0010949337 0.001244781 0.0012264872 0.000697045 0.0004890883 0.00036479856 0.00019127711 0.00021279916 0.00014312155 0.00018777979 0.00015468965 0.00063705235 0.007873838 0.0009999677 0.00053670583 0.0005340156 0.0012689932 0.0021223421 0.00087110454 0.00053805095 0.0020209195 0.00081945164 0.00027709626 0.00046918044 0.00088832213 0.00061095686 0.0012477402 0.0026127754 0.0131182205 0.0015859052 0.0013841362 0.0010755638 0.002629993 0.0036248493 0.0013583096 0.0010064243 0.006798274 0.0013623451 0.0007094202 0.0014726454 0.0039466037 0.0009512741 0.0034502519 0.0067654527 0.12713444 0.021131683 0.023867402 0.013034822 0.033166807 0.041294336 0.016346527 0.016898567 0.082477294 0.015114928 0.006073519 0.009346483 0.03594665 0.009250979 0.029853757 0.04247778 0.046679955 0.011322207 0.010701296 0.0061394307 0.015170347 0.021497289 0.0077670347 0.009449251 0.031751465 0.00659516 0.002522114 0.0034876463 0.015322346 0.0047351173 0.011794346 0.017654529 0.00026633524 0.00017136923 5.9185608e-05 5.407412e-05 7.747934e-05 0.00010249871 9.953943e-05 6.779442e-05 0.00010545799 5.9723658e-05 0.00014016227 9.093061e-05 0.00014769498 0.00010572701 7.0215654e-05 3.4704288e-05 3616.0 10.183905 36825.0 0.032559402 0.0009232858 0.0007875085 0.0015478615 0.03812627 0.004154786 0.0020638152 0.00040733197 0.015098439 0.0005159538 0.0005974202 0.0014120842 0.0047793617 0.0029599457 0.006788866 0.0024983028 0.006653089 0.0011948404 0.0033672776 0.0024983028 0.0034758996 0.00057026476 0.0006788866 0.0009504413 0.003041412 0.004154786 0.0020638152 0.0026069246 0.0025526136 0.0037202986 0.00043448745 0.0059742024 0.014175152 0.011269518 0.0038017652 0.016483366 0.020420909 0.008798371 0.009368636 0.0071147317 0.007630686 0.0082281055 0.0016293279 0.00089613034 0.016673455 0.0065716226 0.003856076 0.004752206 0.026150713 0.015614392 0.018302783 0.020176511 0.015098439 0.008988459 0.016103191 0.020855397 0.002851324 0.0024711473 0.004616429 0.005947047 0.0023082145 0.0061099795 0.00814664 0.009205703 0.0013577732 0.03484046 0.0056211813 0.01575017 0.02623218 0.06544467 0.007983707 0.010563476 0.01784114 0.03359131 0.007576375 0.0035845214 0.027752886 0.013061779 0.035899524 0.0330482 0.013822132 0.001575017 0.033319756 0.024059743 0.05401222 0.01629328 0.0034215886 0.00790224 0.009260014 0.005594026 0.0015478615 0.00016293279 0.0021181263 0.00048879837 0.0014120842 0.0010862186 5.8057427 0.0 0.0 0.0 19.0 1859584.0 1888256.0 0.0 0.0 586.0 0.0 1.0 0.0 0.0 0.0 1188973300.0 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 1486848.0 4096.0 4096.0 5.0 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 212992.0 -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 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1486848.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.402641 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9204273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.55163 0.0 3.7985833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 209724.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -94824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1483191.0 0.0 77896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 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 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -5.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -2.0 2.0 0.0 -1.0 1.0 -1.0 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 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 2.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 -3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 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 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -2.0 0.0 1.0 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 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -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 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 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 2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 -1.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 -2.0 0.0 1.0 3.0 0.0 -1.0 -2.0 -1.0 -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 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 2.0 -2.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 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 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 1.0 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 -1.0 -2.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 400.0 1687768.0 77896.0 1806336.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1490944.0 0.0 0.0 0.0 0.0


Input: 0.0563895 0.008282301 0.006167167 0.005653064 0.005741667 0.004959696 0.004201421 0.005409922 0.005041087 0.0056221564 0.0037378017 0.004462078 0.0049432116 0.0031701257 0.004321962 0.004637223 0.0050400565 0.0037769517 0.004921576 0.004163301 0.004347719 0.0031773376 0.0041076667 0.0038428886 0.0050699343 0.0033473312 0.0031660045 0.0029372857 0.0041643316 0.0034421156 0.0037831333 0.0037831333 0.006167167 0.0038119808 0.0034874473 0.0030166162 0.0048886077 0.0041571194 0.0038449492 0.003724408 0.0047165533 0.0038882203 0.003330847 0.0031031584 0.0043642027 0.0037182267 0.0037202872 0.0035945948 0.005507797 0.003959309 0.0031031584 0.0029063777 0.0036955609 0.0030794623 0.0026941432 0.0028497132 0.004170513 0.0033184837 0.0035224762 0.003346301 0.00400258 0.0032288507 0.0035193854 0.00345963 0.0065813335 0.0039551877 0.0036090186 0.0032226692 0.004142696 0.0032257598 0.0035379303 0.0030701899 0.0049916343 0.0037831333 0.0037058634 0.0035873828 0.0041262116 0.0031268545 0.0035472026 0.003466842 0.005158537 0.0036193212 0.003657441 0.003326726 0.003918098 0.0033751484 0.0033906023 0.0035379303 0.0046475255 0.003646108 0.0038006478 0.0035039315 0.004100455 0.00338133 0.0036955609 0.0037841636 0.0058941464 0.003622412 0.0033473312 0.0029568607 0.004006701 0.0030506148 0.0032710915 0.0030289793 0.0049699987 0.003175277 0.0032051546 0.0030444332 0.0035739895 0.0028548646 0.0030949162 0.0032010335 0.0045022583 0.0032824245 0.0032278204 0.0031381873 0.0038758572 0.0033370284 0.0032916968 0.0036255028 0.004634132 0.003292727 0.0034874473 0.0031690954 0.0040406995 0.003210306 0.0034761142 0.0033545431 0.008616107 0.004594982 0.004014943 0.0035224762 0.0043539 0.003447267 0.0030258885 0.003389572 0.004528015 0.0038264045 0.0029702543 0.0031927915 0.003727499 0.002795109 0.0028548646 0.0029836476 0.005216232 0.0032041243 0.003505992 0.0030331004 0.0036646528 0.0031845493 0.0033205443 0.0032772732 0.00454759 0.0028579554 0.003054736 0.0027106274 0.003513204 0.0032422442 0.0029867385 0.0031608532 0.0049967854 0.0034318129 0.0032896365 0.0028074724 0.0037676794 0.0030052832 0.0030557662 0.0031855796 0.0041272417 0.0030094043 0.0031268545 0.003023828 0.0036636225 0.0028383802 0.0029249226 0.0030464937 0.004673282 0.003120673 0.0038428886 0.0028703185 0.0035698684 0.00314849 0.0029980713 0.003124794 0.0042539644 0.003163944 0.0033524826 0.0031927915 0.0036543503 0.003190731 0.0033215745 0.0033442404 0.006695693 0.004061305 0.0037223478 0.003346301 0.0041220905 0.0032597587 0.0033019995 0.0032329718 0.0043353555 0.0033380587 0.003124794 0.003086674 0.0036409567 0.0029949807 0.0030846137 0.002814684 0.004241601 0.0032762429 0.0031072795 0.0030114648 0.0037182267 0.0030176465 0.0029414068 0.0029558304 0.00396549 0.0031165518 0.0027332932 0.0026488116 0.0035420512 0.0029496488 0.003591504 0.0028868027 0.0049504237 0.0032381231 0.003416359 0.0029877687 0.0038191925 0.0030753412 0.003214427 0.0029197712 0.0044373516 0.0054367087 0.003462721 0.003144369 0.0037924056 0.0030774018 0.0032525468 0.0031897007 0.0045991032 0.0033205443 0.003427692 0.0030454635 0.0037419228 0.0030918254 0.003319514 0.0032587284 0.0043631727 0.003027949 0.0031927915 0.002868258 0.004023185 0.0031041887 0.0042189355 0.0044919555 0.011618616 0.0 0.0 0.0 0.0 0.0 1.0323071e-06 3.0969213e-06 0.0 1.0323071e-06 2.0646141e-06 0.0 0.0 1.0323071e-06 0.0 1.0323071e-06 0.0020429357 4.1292283e-06 2.0646141e-06 6.1938426e-06 5.1615352e-06 1.0323071e-06 3.096921e-05 1.1355378e-05 0.0 0.0 1.03230705e-05 0.0 0.0 0.0 0.0 0.0 0.0009461094 2.5807676e-06 6.1938426e-06 1.2903839e-05 9.290764e-06 5.677689e-06 5.1615356e-05 2.2710756e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028496836 3.5614594e-05 2.7872291e-05 1.0839224e-05 2.2194603e-05 3.458229e-05 4.232459e-05 1.8065373e-05 3.5614594e-05 5.1615352e-06 9.806918e-06 1.600076e-05 2.632383e-05 7.2261496e-06 1.7033068e-05 1.2903839e-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 0.00087591255 1.1871532e-05 1.2387685e-05 8.258457e-06 1.3419992e-05 1.600076e-05 1.3419992e-05 1.1355378e-05 1.0839224e-05 1.3419992e-05 6.709996e-06 1.3419992e-05 1.1871532e-05 1.03230705e-05 1.8065373e-05 9.806918e-06 0.0016176252 6.503535e-05 5.677689e-05 4.8518432e-05 4.7486126e-05 3.0453059e-05 2.2710756e-05 0.0005522843 2.9936906e-05 1.7033068e-05 1.9613835e-05 0.00027614215 2.0646141e-05 0.0002730452 1.6516913e-05 7.742303e-05 0.000739648 3.7163056e-05 3.4066135e-05 2.0646141e-05 2.2194603e-05 1.7033068e-05 1.39361455e-05 1.1871532e-05 1.6516913e-05 2.2710756e-05 1.909768e-05 1.754922e-05 6.709996e-06 4.645382e-06 2.2710756e-05 5.0583047e-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 0.0013125784 3.7163056e-05 4.2840744e-05 5.987381e-05 4.232459e-05 3.1485368e-05 9.135918e-05 5.832535e-05 3.922767e-05 5.7293044e-05 4.387305e-05 4.2840744e-05 7.7939185e-05 7.742303e-06 8.77461e-06 0.00016052375 0.0011639262 6.916458e-05 4.5937664e-05 4.5937664e-05 3.819536e-05 3.767921e-05 4.7486126e-05 5.987381e-05 5.213151e-05 5.0583047e-05 6.813227e-05 5.1615356e-05 7.484226e-05 1.4452299e-05 4.387305e-05 0.00025033447 0.0045633134 0.00028852982 0.0002642706 0.00026478677 0.0002978206 0.0002322691 0.00032466056 0.00030246598 0.00032827366 0.00035150055 0.00032930597 0.0003556298 0.0005264766 0.00015949145 0.00018375066 0.0007411965 0.003183119 0.00027252908 0.00029936904 0.0002477537 0.00028749753 0.00028130368 0.00034169364 0.0009295925 0.0004056967 0.0003499521 0.00032311212 0.0006663542 0.0004609251 0.000433569 0.00017394374 0.00085733103 0.0022416548 0.00018116989 0.00028904597 0.00024414062 0.00029730445 0.00029369135 0.0002844006 0.0004010513 0.00044131128 0.00032156365 0.00024517294 0.00031588596 0.0004588605 0.0001610399 0.00018891219 0.0010343717 0.0003432421 5.4196124e-05 4.2840744e-05 4.490536e-05 5.4196124e-05 4.800228e-05 5.3163814e-05 5.1615356e-05 7.019688e-05 4.800228e-05 3.819536e-05 4.9034585e-05 4.4389206e-05 2.632383e-05 4.180844e-05 4.6969973e-05 0.098993085 0.06204114 0.06243135 0.05536108 0.060590234 0.059530053 0.054987386 0.05451201 0.06045087 0.053252593 0.052193448 0.053016193 0.05646926 0.050614532 0.056715984 0.053872492 4044.0 5.7017803 23058.0 0.017174082 0.010451904 0.009497788 0.008717148 0.013531095 0.012490242 0.0117529705 0.011406019 0.0126203485 0.009671263 0.008500303 0.008673779 0.013921415 0.010451904 0.011883077 0.009974846 0.016783763 0.011796339 0.008673779 0.007502819 0.009844739 0.008456934 0.007849771 0.008283459 0.010278428 0.008456934 0.009714632 0.008803885 0.011449388 0.008933992 0.009584526 0.009237574 0.01804146 0.010928961 0.010278428 0.009107468 0.010798855 0.008847254 0.01058201 0.008326828 0.014224998 0.011666233 0.009714632 0.008933992 0.01136265 0.009280943 0.011579495 0.009671263 0.0147454245 0.009584526 0.009974846 0.008977361 0.012099922 0.009541157 0.009584526 0.009974846 0.013704571 0.0091942055 0.010538641 0.009584526 0.011102437 0.00980137 0.010408535 0.010625379 0.017824616 0.010928961 0.0096278945 0.008153352 0.0130540375 0.00824009 0.009324312 0.008283459 0.015352589 0.009324312 0.008933992 0.008717148 0.011449388 0.007979877 0.009888108 0.0078064012 0.013140775 0.007979877 0.0087605165 0.008717148 0.011449388 0.00941105 0.008413565 0.007979877 0.01136265 0.00902073 0.011926446 0.00863041 0.01136265 0.008933992 0.010104952 0.0087605165 6.5547733 0.0 0.0 0.0 14.0 970624.0 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: 0.25867027 0.024721453 0.0067913253 0.0029387916 0.006621542 0.002354326 0.001551715 0.0016196282 0.0077554877 0.0032186767 0.0021382384 0.0014745408 0.0035705906 0.00209605 0.00089213316 0.0031415024 0.006798528 0.0045131445 0.0013839898 0.00080364017 0.0022884707 0.006619484 0.0006626687 0.00066987163 0.0014673378 0.0007645386 0.00040233458 0.0006976543 0.0011709891 0.0005052334 0.00058549456 0.0005350741 0.010002798 0.0006091613 0.0011164527 0.0006184222 0.0021310356 0.0014724828 0.00055050896 0.00040439254 0.0011411484 0.0005072914 0.00038381276 0.00066884264 0.0010207568 0.0009435826 0.0020260788 0.00042188534 0.002538515 0.0006184222 0.00096724933 0.0027731245 0.0015342222 0.000729553 0.0005124364 0.0010382496 0.0014920336 0.0011143947 0.00063282804 0.0009816552 0.0014076565 0.0009425536 0.00043937817 0.0012831489 0.00762069 0.0022318764 0.0022884707 0.0018377737 0.03669991 0.012918953 0.0025066163 0.00091374194 0.0025951094 0.0015537728 0.00062768307 0.00062562514 0.0018614405 0.0106788445 0.0012491923 0.0009621044 0.010823932 0.006422947 0.0049154786 0.002559095 0.0017431068 0.0057026553 0.0024839786 0.0022452532 0.0014796857 0.001184366 0.0005700597 0.0013963376 0.0012172936 0.0015661208 0.0024170943 0.0020178468 0.0012131777 0.0044081872 0.0012080327 0.002632153 0.0050183777 0.008763896 0.00628815 0.002354326 0.006733702 0.0040552444 0.006362237 0.0005906395 0.008340982 0.0016494688 0.0044112746 0.0046685217 0.0025436599 0.0004712768 0.0051315664 0.003906041 0.009468754 0.005879641 0.002722704 0.0021907168 0.0019910932 0.0013304823 0.00061224826 0.0003735229 0.0011637862 0.0026661097 0.00058652356 0.00062356715 0.004076853 0.0013232795 0.0005361031 0.0074118054 0.0015980194 0.009008796 0.00041982738 0.0005289002 0.001540396 0.009093173 0.0004908276 0.029823178 0.000988858 0.012679199 0.00036734896 0.0003910157 0.0010742642 0.0003992476 0.0003550011 0.0010773512 0.0010505974 0.0028472117 0.00027576895 0.00025827615 0.00093843765 0.0010300176 0.0003724939 0.00032824738 0.00088595925 0.0004002766 0.0003704359 0.00038587075 0.0014025116 0.001631976 0.0011936269 0.0005196393 0.00094975653 0.0006091613 0.0008015822 0.0013654679 0.0009847422 0.00027062403 0.00047745075 0.00044040714 0.0009713653 0.0003827838 0.0002912038 0.0002644501 0.0012255255 0.0003889577 0.00043937817 0.00037660985 0.0012162646 0.00062459614 0.000542277 0.0007696835 0.00207547 0.00066575565 0.0003354503 0.00044863907 0.0013860477 0.0012316995 0.0006709006 0.0005134653 0.0057932064 0.0011679021 0.0016124252 0.0016679906 0.0036024894 0.00035705906 0.0064785127 0.005122306 0.0015753816 0.000991945 0.0004805377 0.0006009294 0.03728952 0.00035705906 0.00068633544 0.0004939146 0.0019519915 0.0005402191 0.0007799734 0.0007161761 0.0014066275 0.000362204 0.0009744523 0.00065649475 0.0018902522 0.00039718964 0.0005062624 0.00068427745 0.0015095264 0.00061121926 0.0004002766 0.0005186103 0.00317443 0.0005371321 0.0009260898 0.00044658108 0.0019478756 0.0013119605 0.00045789997 0.00064208894 0.010463785 0.0031857488 0.00044040714 0.01246414 0.005188161 0.00059681345 0.000907568 0.0020034409 0.004076853 0.0008005532 0.0005144943 0.0010701482 0.0024356162 0.0004270303 0.0010536844 0.0044236225 0.0033318654 0.00083245186 0.0007069152 0.0015959614 0.0066740206 0.0011956849 0.003935882 0.07352741 0.04742406 1.0301292e-06 0.0 0.0 9.786228e-06 5.665711e-06 1.6482067e-05 3.0903877e-06 0.0 0.0 0.0 3.0903877e-06 0.0 0.0 0.0 5.1506463e-06 0.001003861 5.150646e-07 5.150646e-07 1.0301292e-06 1.5451939e-06 2.0602583e-06 7.2109046e-06 4.6355813e-06 4.6355813e-06 2.0602583e-06 8.241033e-06 4.6355813e-06 5.665711e-06 3.0903877e-06 1.0301292e-06 4.1205167e-06 0.0038815269 3.6054524e-05 4.4295557e-05 1.5451938e-05 2.678336e-05 2.2662844e-05 6.3868014e-05 2.575323e-05 1.2361551e-05 1.4421809e-05 3.0903877e-06 2.678336e-05 1.7512197e-05 3.0903877e-06 1.5451938e-05 1.0301293e-05 0.004734989 3.708465e-05 4.6355814e-05 2.575323e-05 3.34792e-05 2.6268295e-05 6.798853e-05 4.017504e-05 9.477189e-05 2.575323e-05 1.905739e-05 2.3692972e-05 2.8328554e-05 2.575323e-05 2.4723102e-05 2.008752e-05 0.014601052 0.000101467725 0.00015503445 0.0001601851 0.00028122528 0.00025804737 0.00072881643 0.00038835872 9.683215e-05 3.9659975e-05 3.0388812e-05 7.107892e-05 9.528695e-05 2.2147779e-05 0.0006402253 0.00026268294 0.0039314884 0.00011846486 8.910618e-05 2.8328554e-05 0.012729307 3.34792e-05 0.0016415109 8.138021e-05 0.00012722096 1.0816357e-05 8.756098e-06 1.0301293e-05 0.008420276 4.6355813e-06 8.241033e-06 0.00018284794 0.017205218 0.00026010763 0.00054184796 0.00034097277 0.015921162 0.0002853458 0.0075529073 0.0010847261 0.00016379055 0.00019778482 9.734721e-05 0.000113314214 0.015120752 5.4081785e-05 0.0034952285 0.0019114048 0.027680602 0.00044656103 0.0021503947 0.00036209042 0.007821771 0.00077620236 0.009494701 0.004892599 0.00034869876 0.00020345052 0.00026268294 8.6530854e-05 0.0061606877 6.1807754e-05 0.0018516573 0.0017455539 0.039074346 0.0005186701 0.0023492097 0.00086376333 0.0029296875 0.001898013 0.00837186 0.004089098 0.0013082641 0.0002606227 0.00018078768 0.00016482068 0.0010497017 9.374176e-05 0.0014720546 0.002885907 0.017554946 0.0006191077 0.0016868366 0.0009703817 0.0019201608 0.0010569126 0.0059958673 0.003731128 0.0010187977 0.00019778482 0.00046561842 0.00030234293 0.0005768724 0.00018645338 0.0010084965 0.001737828 0.014159126 0.00044707608 0.0016487219 0.0011748624 0.004832336 0.0028426417 0.0068699317 0.004145755 0.0006124118 0.0003548795 0.0004455309 0.00023177908 0.0009878939 0.00024208036 0.00097450224 0.0011697117 0.011869149 0.0008060761 0.0018094219 0.0013288667 0.0016028811 0.0017800633 0.0039881454 0.0026716401 0.00066906895 0.00056811626 0.0016054563 0.00061498716 0.0016672642 0.0010589728 0.0011243861 0.0027004837 0.027217044 0.0034849271 0.0030177636 0.0026973933 0.006462516 0.005915002 0.0064218254 0.0043971064 0.012725702 0.002423379 0.0024099874 0.0027128453 0.007120253 0.0025063043 0.0064944495 0.021082109 0.08720198 0.019356644 0.008319839 0.008632998 0.02877666 0.029768674 0.015181014 0.012848287 0.05772638 0.0062765772 0.0055930866 0.0070352675 0.02387891 0.007754813 0.02495694 0.06597462 0.010421302 0.0029827391 0.0016358452 0.0019814535 0.002853973 0.0034998641 0.001689927 0.0027566259 0.004887448 0.0010527921 0.0009240259 0.0010290991 0.002662884 0.0013623459 0.0022977032 0.0064851786 0.0011372627 0.00067576475 0.0005016729 0.00043574467 0.0010502167 0.00061498716 0.0005562698 0.0004975524 0.0005701765 0.00043419946 0.0005166098 0.000486221 0.0005588451 0.00054081785 0.00037651224 0.00054081785 4953.0 20.36907 100888.0 0.024492506 0.0005848069 0.001655301 0.00072357466 0.000525335 0.0015363571 0.00018832766 0.000555071 0.001090318 0.0012489096 0.00041630323 0.00035683133 0.0011894378 0.0016949489 0.010585996 0.0006343668 0.0019724844 0.0011200539 0.0030826263 0.0031520103 0.001080406 0.00079295854 0.0011002299 0.004371184 0.00067401474 0.0004856871 0.0007731346 0.0002180636 0.0027456188 0.0007037507 0.00068392674 0.007087067 0.005461502 0.012162002 0.0027753548 0.0084251845 0.33541155 0.014193958 0.0128062805 0.0045793355 0.002636587 0.0071564508 0.000515423 0.0018039807 0.008484656 0.0066905874 0.00450004 0.003280866 0.005996749 0.0018634525 0.005223614 0.008891048 0.005164142 0.0020220443 0.006978035 0.005461502 0.005520974 0.0010704941 0.0012786456 0.0004361272 0.0012786456 0.00033700737 0.011884466 0.011398779 0.00068392674 0.024284355 0.0065815556 0.010784236 0.021290936 0.044851717 0.040500358 0.013529855 0.004906431 0.019635636 0.0033502497 0.0018138926 0.0575787 0.0076223137 0.017385615 0.0207656 0.00745381 0.00034691935 0.02600904 0.018545318 0.026494727 0.007889938 0.016463801 0.004965903 0.006442788 0.0034394576 0.0009614622 0.0001585917 0.0006343668 0.0009614622 0.00023788757 0.0002180636 4.606519 4.0 0.0 0.0 16.0 971828.0 20480.0 1.0 0.0 51.0 0.0 0.0 0.0 0.0 0.0 996727550.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.394595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8966.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 11868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 4096.0 0.0 0.0 0.0 0.0