Input: 0.05671731 0.008303506 0.0061729676 0.0056600217 0.0057584657 0.0049667675 0.0042020115 0.0054206466 0.005050704 0.005633079 0.003755386 0.00447351 0.0049574412 0.0031678297 0.0043211807 0.0046455283 0.005037233 0.0037709298 0.0049356795 0.0041564163 0.004346051 0.0031740472 0.00410564 0.00384554 0.0050683203 0.003348138 0.0031616122 0.0029336363 0.0041605616 0.0034372557 0.0037895823 0.003792691 0.00616675 0.003816525 0.003482851 0.0030268992 0.0048983744 0.004158489 0.0038424314 0.0037211895 0.0047253203 0.0038952802 0.003335703 0.0030963281 0.004370921 0.0037336247 0.0037242982 0.003580259 0.0055180546 0.0039419117 0.0031015093 0.002908766 0.0036797393 0.0030704217 0.0026807901 0.0028610984 0.0041740327 0.0033066878 0.0035274099 0.003356428 0.0040051234 0.0032165337 0.003506685 0.0034559085 0.006597832 0.003942948 0.0036154916 0.0032165337 0.0041522714 0.0032217149 0.0035388088 0.0030683493 0.0049999272 0.0037709298 0.003702537 0.003592694 0.0041253287 0.0031222345 0.00356057 0.0034693796 0.005161583 0.0036248178 0.0036590144 0.0033325942 0.003930513 0.003377153 0.003364718 0.0035377725 0.0046507097 0.0036434704 0.00380409 0.0035087573 0.004110821 0.0033864793 0.0036849207 0.0037895823 0.0059128674 0.0036258542 0.003340884 0.0029595424 0.0040020146 0.0030486605 0.0032642013 0.003022754 0.004974021 0.0031657573 0.0031958085 0.0030486605 0.0035750777 0.0028331196 0.0030859655 0.0031947724 0.004513924 0.0032859626 0.0032217149 0.0031377783 0.0038952802 0.0033294854 0.0032880353 0.0036279266 0.004621695 0.003286999 0.0034818149 0.0031719748 0.004033102 0.0031947724 0.0034673072 0.0033460655 0.008652724 0.0046009696 0.0040092682 0.003523265 0.004370921 0.003438292 0.0030175727 0.0033916607 0.0045439755 0.003833105 0.0029543613 0.0031906273 0.0037305157 0.0027906331 0.0028455546 0.0029875215 0.005231012 0.0032051348 0.0035025398 0.0030268992 0.003662123 0.0031802647 0.0033025427 0.0032569475 0.0045429394 0.0028383008 0.003042443 0.002700479 0.003511866 0.0032310411 0.0029906302 0.0031512496 0.00501029 0.003409277 0.0032642013 0.0027999594 0.0037781836 0.003010319 0.0030610955 0.0031802647 0.0041439813 0.003002029 0.0031222345 0.003014464 0.003645543 0.0028331196 0.0029180923 0.0030248265 0.0046652174 0.003116017 0.003841395 0.0028631708 0.0035657515 0.003157467 0.002993739 0.003120162 0.0042517516 0.0031460684 0.0033346666 0.0031802647 0.0036517605 0.003193736 0.0033294854 0.003352283 0.0067242547 0.0040558996 0.003723262 0.0033388117 0.004119111 0.0032538387 0.003303579 0.0032248236 0.0043346523 0.0033305215 0.0031149806 0.0030901106 0.0036445067 0.0029885576 0.0030756032 0.0027947782 0.004241389 0.0032704188 0.0030942557 0.0029999565 0.0037160083 0.0030331167 0.0029377812 0.0029481438 0.0039802534 0.0031087631 0.0027315666 0.0026331225 0.003523265 0.0029471074 0.0035781865 0.0028911498 0.0049698763 0.0032331138 0.0034030594 0.0029750864 0.0038030536 0.0030766393 0.0031958085 0.00290773 0.004436205 0.005449662 0.0034641984 0.0031346695 0.0037937274 0.0030890743 0.0032528026 0.0031885547 0.0046134046 0.003324304 0.0034206759 0.0030372615 0.0037377696 0.0030942557 0.0033139416 0.0032445125 0.004351232 0.0030331167 0.003185446 0.0028652435 0.004013413 0.0030901106 0.004219628 0.0045180693 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099244595 0.06201535 0.062465236 0.055315364 0.060571782 0.059555784 0.054915816 0.054463338 0.060471635 0.053143784 0.05212208 0.052960612 0.056433067 0.05055086 0.056673836 0.05383651 4014.0 5.703787 22895.0 0.017121643 0.01043896 0.009347019 0.008648177 0.013452719 0.012448133 0.011792968 0.011487224 0.012535488 0.009783796 0.008473466 0.008604499 0.013889495 0.010526316 0.011792968 0.010002184 0.016772222 0.011880323 0.008779209 0.007556235 0.009827473 0.008473466 0.007818301 0.008342433 0.010307928 0.008473466 0.009609085 0.008866564 0.011530902 0.00895392 0.00969644 0.009215986 0.018082552 0.010875737 0.010395283 0.009041276 0.010919414 0.008822887 0.010657349 0.008298756 0.014282594 0.0116182575 0.009783796 0.00895392 0.011487224 0.009347019 0.011705613 0.009565407 0.014806726 0.009609085 0.009958507 0.008997598 0.012098712 0.009347019 0.009565407 0.009783796 0.013714785 0.009215986 0.010569993 0.009565407 0.011137803 0.009871151 0.010395283 0.010701027 0.017951518 0.01100677 0.00969644 0.008211399 0.013103298 0.0082550775 0.009390697 0.008342433 0.015461891 0.009303342 0.0089102425 0.008691854 0.011356192 0.007993012 0.009914828 0.007861978 0.013278008 0.008036689 0.008735532 0.008822887 0.011399869 0.009390697 0.008211399 0.007861978 0.010875737 0.008822887 0.011924 0.008517143 0.011312514 0.008997598 0.009958507 0.008779209 6.554492 0.0 0.0 0.0 14.0 965014.0 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: 0.019145852 0.0047712047 0.0044135787 0.0039049785 0.0038632196 0.003910332 0.003650143 0.0038053999 0.0039499495 0.003944596 0.0040366794 0.0039702933 0.0041501774 0.0039060493 0.003838593 0.0039531616 0.003926393 0.003976718 0.0039017664 0.0038932003 0.0038300268 0.0038021877 0.003642648 0.0039049785 0.004053811 0.0037582875 0.0038642904 0.003650143 0.0037700657 0.0038396635 0.0038899882 0.0039467374 0.00397993 0.0040024156 0.0041041356 0.0038064707 0.0041084187 0.0037390143 0.0038161073 0.0037432972 0.0036886896 0.003699397 0.0037143873 0.0038128952 0.0037250947 0.0036608505 0.0037732779 0.0037325898 0.0038236026 0.003801117 0.003866432 0.00565028 0.003910332 0.0039296052 0.004098782 0.0036597797 0.0037186702 0.0037122457 0.003740085 0.0038075414 0.0037914803 0.0037775608 0.0038064707 0.003706892 0.0041576726 0.0037593583 0.003772207 0.0038824931 0.0040056277 0.0039039077 0.003792551 0.0037454388 0.0038653612 0.0037989756 0.003719741 0.0037839853 0.003748651 0.0037358021 0.0037047507 0.0037732779 0.0040548816 0.0036201624 0.0038846345 0.003772207 0.0037165286 0.003853583 0.0039713643 0.003825744 0.0039060493 0.003817178 0.0041084187 0.0038717857 0.0037336606 0.0041084187 0.0038653612 0.0037572167 0.0039424542 0.0039167567 0.0038899882 0.0038182489 0.0038653612 0.0041576726 0.0039092614 0.0037540046 0.0038814223 0.0038546538 0.0038482295 0.0037700657 0.0039167567 0.0037497217 0.0038514417 0.0038300268 0.0039135446 0.0036876188 0.0039649396 0.0039810007 0.004136258 0.0039831423 0.0037711363 0.003939242 0.0037979048 0.0037700657 0.00370368 0.0037336606 0.003841805 0.003577333 0.0036961848 0.0037454388 0.003947808 0.0038075414 0.0038182489 0.0039296052 0.0038225318 0.003934959 0.0037593583 0.0037604289 0.0038557246 0.0038493 0.0037497217 0.0043300614 0.0038278855 0.0039381715 0.0036726284 0.003813966 0.0037711363 0.0037411556 0.0037101044 0.0036201624 0.0038268147 0.00370368 0.0037336606 0.003756146 0.0037090336 0.0037143873 0.0037111752 0.003715458 0.0038161073 0.0037818437 0.0035998183 0.0037411556 0.003740085 0.0037347313 0.003593394 0.0040827207 0.0035987478 0.0037679242 0.003724024 0.0036726284 0.0037818437 0.003605172 0.0038407343 0.0036961848 0.0037871974 0.0037111752 0.0037604289 0.003817178 0.003793622 0.0037657826 0.0036640626 0.0037550754 0.0036801237 0.003924252 0.0037850558 0.0036897603 0.0037882682 0.0037250947 0.0039285347 0.0036908311 0.0036844066 0.0037368727 0.0037700657 0.0038857053 0.0039895666 0.0037358021 0.0039306763 0.0038107536 0.0037871974 0.003911403 0.0036865482 0.0037336606 0.0037904095 0.0036683455 0.0037540046 0.003751863 0.0038546538 0.003679053 0.003801117 0.0037904095 0.0038021877 0.003724024 0.0038064707 0.003719741 0.0037625704 0.003715458 0.0036801237 0.0036833358 0.0038182489 0.0037818437 0.003801117 0.003792551 0.0037754192 0.003902837 0.0038567954 0.0037143873 0.0038107536 0.0038557246 0.0037871974 0.0039156857 0.0039585154 0.0036362235 0.0037143873 0.0038021877 0.0040666596 0.0037572167 0.0036844066 0.0038471587 0.0037250947 0.0037325898 0.0038075414 0.0037304484 0.0038546538 0.0037304484 0.0036833358 0.003724024 0.0037122457 0.003756146 0.003793622 0.0044542667 0.003866432 0.0037250947 0.0037593583 0.0036779821 0.0037850558 0.0036876188 0.0037839853 0.008520926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00094493944 1.0183692e-05 2.7335174e-05 6.4318056e-06 1.0183692e-05 1.4471563e-05 5.3598383e-06 2.0903368e-05 1.7151482e-05 6.9677894e-06 7.5037733e-06 4.8238544e-06 3.2159028e-06 3.7518867e-06 5.8958217e-06 8.575741e-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 0.0022538118 4.234272e-05 8.039757e-05 0.00018330646 1.0719676e-06 3.6446898e-05 5.359838e-07 3.751887e-05 8.575741e-06 3.751887e-05 7.9325604e-05 3.5910914e-05 1.6079513e-05 1.3399595e-05 5.3598383e-06 0.00046148206 0.0013126243 0.0003907322 2.1439353e-05 0.00025727222 2.5727222e-05 3.108706e-05 1.3935579e-05 8.575741e-06 2.1439353e-06 1.0719676e-06 8.575741e-06 8.039757e-06 3.7518867e-06 9.1117245e-06 1.6079513e-05 8.522143e-05 0.001292257 3.6446898e-05 2.7335174e-05 1.7687466e-05 8.897331e-05 5.4134365e-05 0.00033016602 0.00011630849 4.5558623e-05 1.2863611e-05 1.2327628e-05 1.7687466e-05 2.947911e-05 2.1975336e-05 2.7871158e-05 6.4318054e-05 0.0014953949 3.2695014e-05 8.361347e-05 4.1270752e-05 0.00024333665 0.0001356039 0.0007391217 0.0003714368 2.7335174e-05 1.9831401e-05 1.7151482e-05 1.7687466e-05 1.2327628e-05 1.07196765e-05 3.1623043e-05 1.3935579e-05 0.0040809806 0.00015972317 0.00027067182 0.000728402 0.00021064164 0.00021707344 0.00033338193 0.0003612531 0.00015061145 0.00018330646 0.00018491442 0.00021332156 0.0001227403 0.00018598638 0.00019134622 0.0011872042 0.0014364367 0.00017580269 0.00021010566 0.0008581101 3.0551077e-05 0.00020742574 0.00020099393 0.00010130094 6.378207e-05 6.539003e-05 0.00010290889 0.00025352035 0.00023261698 0.00018491442 0.0002454806 0.0011191342 0.00089348503 0.00024280067 0.00014578759 0.00048774527 5.8958217e-06 0.00045612222 9.1117245e-06 9.1117245e-06 1.7687466e-05 7.9325604e-05 0.00021760943 0.00029157518 0.00055206334 0.00028246347 0.00033606184 0.0014616279 0.0022050373 0.0003012229 0.00045933813 0.00028085551 0.00043843474 0.00044272264 0.0003510694 0.00046148206 0.0005359838 0.00019509811 0.00013774783 0.00016776293 0.00033981373 0.00025137642 0.00028728732 0.000828631 0.002415679 0.0006056617 0.00052687206 0.0006185253 0.0006989229 0.0010558881 0.0005166884 0.0005220482 0.001158797 0.00015007547 0.00014900349 0.00017633867 0.00060083787 0.00025298435 0.00056439097 0.0009642349 0.060500782 0.05968019 0.059271235 0.059354313 0.05941059 0.0592439 0.05945561 0.05925033 0.059831336 0.058922846 0.05903808 0.059105616 0.058798496 0.059143133 0.05913992 0.05935967 4372.0 6.1957912 27088.0 0.011185765 0.009266095 0.013068518 0.008490845 0.010853514 0.009303013 0.008712345 0.009155345 0.007678677 0.009930597 0.008970762 0.009229179 0.008712345 0.008675428 0.010521264 0.009118428 0.009598346 0.00933993 0.00967218 0.014212935 0.009487596 0.010632014 0.019012108 0.00978293 0.009229179 0.010189014 0.00978293 0.010410514 0.010779681 0.010373597 0.009044595 0.008047844 0.008380095 0.0110380985 0.00989368 0.012256349 0.0115180155 0.010816597 0.012662433 0.010189014 0.009635263 0.009746013 0.008786178 0.009856763 0.009967513 0.00945068 0.009192262 0.009118428 0.011222682 0.008786178 0.009487596 0.009967513 0.00989368 0.011111932 0.010152097 0.010041347 0.008933845 0.008860012 0.009044595 0.009856763 0.009487596 0.009081512 0.007863261 0.008860012 0.009819847 0.013622268 0.009118428 0.011813349 0.0125886 0.020193443 0.009930597 0.009930597 0.009856763 0.015246604 0.008453928 0.007789427 0.014028352 0.01033668 0.011997933 0.013991435 0.009044595 0.009524513 0.01528352 0.016280271 0.014766687 0.0109273475 0.009118428 0.0105581805 0.010410514 0.010816597 0.008786178 0.008417011 0.010152097 0.007974011 0.011296515 0.010299764 6.5565453 0.0 0.0 0.0 17.0 933936.0 86016.0 1.0 0.0 84.0 1.0 1.0 0.0 0.0 0.0 1508936000.0 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 -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 14.0 0.0 5.0 1.0 5.0 1.0 13312.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13312.0 -2560.0 52224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5057364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.44566435 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4696207 -5.087314 6.7641335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12875.0 -2334.0 52036.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 24928.0 52036.0 28672.0 0.0 0.0 4344.0 1133560.0 736.0 81920.0 84.0 4832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 352.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.15850213 0.05671061 0.014925183 0.010968038 0.009861055 0.004593343 0.007977911 0.0044597415 0.004370674 0.0030601078 0.013264709 0.0031618995 0.0028628868 0.002423911 0.0032573289 0.0018131617 0.0024493588 0.004796926 0.005643068 0.0033336726 0.00216307 0.0031046418 0.0030346601 0.0021058123 0.00216307 0.001514149 0.0014950631 0.0016604743 0.001717732 0.0014950631 0.0014823392 0.0018704194 0.005000509 0.001724094 0.0018449714 0.0015968547 0.0023539292 0.0013423758 0.0021248981 0.0014250814 0.0049814233 0.0012214984 0.0030601078 0.0027738193 0.0021439842 0.0019976588 0.0042052628 0.0012087744 0.004135281 0.0020994502 0.0018958673 0.0023157573 0.0013232899 0.001978573 0.0013996336 0.0018258856 0.0014123574 0.0015841307 0.0016350264 0.0011069829 0.0029583164 0.0021185363 0.0019022293 0.0013996336 0.0017559039 0.0032318812 0.0030092122 0.004542447 0.0029837643 0.003473636 0.0016286644 0.001526873 0.0016731983 0.0033400345 0.001316928 0.0015714067 0.0020612786 0.0028628868 0.0023666532 0.0016795603 0.0025193405 0.0017749898 0.0031937093 0.0040398515 0.0034100162 0.0016541124 0.0019085912 0.0018513334 0.001717732 0.0017559039 0.0011960504 0.0014568913 0.001316928 0.001724094 0.0013232899 0.0048796316 0.0018958673 0.010102809 0.0031046418 0.004816012 0.004816012 0.020409202 0.0029074205 0.0044788276 0.0021821558 0.009460251 0.001285118 0.002373015 0.007825224 0.004497913 0.009517509 0.017088253 0.0054776566 0.0020421925 0.011731474 0.008550488 0.014874288 0.006769137 0.0023348432 0.0028247149 0.0021694321 0.003289139 0.0016159406 0.0044215694 0.0013487377 0.0022394138 0.001501425 0.0014250814 0.0041416427 0.0068454803 0.0016477504 0.0015650447 0.0015968547 0.0012469463 0.0020231067 0.0011642406 0.0013423758 0.0011896886 0.001081535 0.0009797434 0.0009988294 0.0011069829 0.0010624491 0.0010306393 0.0012342223 0.001724094 0.0010370013 0.0016032166 0.0009924674 0.0013614617 0.0012151364 0.0009861054 0.00129148 0.0014823392 0.0010051914 0.0011324307 0.0012723941 0.001075173 0.0011069829 0.001094259 0.0012214984 0.0010370013 0.0012660321 0.0011515167 0.0012660321 0.0012214984 0.0010370013 0.001087897 0.0010051914 0.0009861054 0.0010242773 0.00087795197 0.001068811 0.0011451547 0.0011515167 0.0011833266 0.0011260688 0.0011260688 0.001100621 0.0009224857 0.0011451547 0.0009288477 0.0011451547 0.0011833266 0.0009733815 0.001100621 0.0009224857 0.0011324307 0.0013423758 0.0012723941 0.0011706026 0.0012787561 0.0015395969 0.001304204 0.001310566 0.001075173 0.0012024124 0.0011960504 0.0010306393 0.0011960504 0.001081535 0.0011387927 0.00129148 0.0012342223 0.0009924674 0.0012596702 0.0011960504 0.0012087744 0.0010242773 0.0012405843 0.0011387927 0.0009542956 0.0011515167 0.0011706026 0.00096065755 0.0021312602 0.001285118 0.001285118 0.0012723941 0.0010242773 0.0011515167 0.0011387927 0.0014441673 0.0011069829 0.001514149 0.0018386096 0.0012151364 0.0011069829 0.0013487377 0.0010433632 0.0010497251 0.0012787561 0.0011197069 0.0012214984 0.0013423758 0.0012723941 0.0010624491 0.001075173 0.001094259 0.0013932716 0.0014250814 0.0011324307 0.0011642406 0.0009861054 0.0010370013 0.0011451547 0.001094259 0.001081535 0.0018195236 0.0013296519 0.001075173 0.0010497251 0.0016859223 0.0011896886 0.0027865432 0.17058352 0.005004883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14631091 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0050594932 0.0005621659 0.0007966694 0.00026662726 0.00011885793 0.00011885793 0.00023129112 0.00051719265 6.745991e-05 7.709704e-05 5.782278e-05 7.0672286e-05 6.1035156e-05 8.0309415e-05 6.1035156e-05 0.0050113075 0.01804392 0.0017154091 0.0024960167 0.00068102387 0.008063066 0.006546824 0.042396948 0.024677478 0.00012207031 2.891139e-05 3.5336143e-05 3.5336143e-05 6.745991e-05 0.00010279605 1.927426e-05 0.00023129112 0.085111916 0.0061484887 0.0070832907 0.0033858449 0.004674008 0.0049759713 0.020935059 0.016004061 0.0013845343 0.001185367 0.0010311729 0.00084806746 0.0010440224 0.0010022615 0.0009765625 0.0021041066 0.033447266 0.0034147564 0.0033729954 0.0010825709 0.0020687706 0.0019081518 0.008348967 0.005159077 0.0012721012 0.00056859065 0.00037584806 0.0004272461 0.0007292095 0.000664962 0.0006585372 0.0022904247 0.07909835 0.007973119 0.0045069642 0.004963122 0.0052169 0.0054353415 0.008699116 0.0049277856 0.009119937 0.0031481292 0.001850329 0.0019916736 0.0020880448 0.0021619294 0.0028493782 0.013864618 0.023456775 0.00429816 0.0030485454 0.0020013107 0.0015066046 0.0012656763 0.0041311164 0.002772281 0.0022679379 0.0011725174 0.00084806746 0.0009701378 0.0008544922 0.00097335014 0.0009990492 0.0020655582 0.012727437 0.0013331363 0.0011211195 0.0022583008 0.0010247482 0.0009058902 0.0017025596 0.0011532432 0.0010504471 0.00081915606 0.0008416427 0.0009765625 0.0012335526 0.0016897101 0.0010986328 0.0029585988 0.006787752 0.0009412264 0.0010600843 0.0007581209 0.00077739515 0.0007227847 0.001262464 0.0007870323 0.00073563424 0.00068102387 0.0007324219 0.00063926296 0.00068423623 0.0007838199 0.0006745991 0.0017089844 0.00344688 0.0007613333 0.00104081 0.00104081 0.0009765625 0.00084485504 0.0019916736 0.001458419 0.00068102387 0.00065532484 0.0006135639 0.00069708575 0.0008127313 0.0007035105 0.0007806075 0.003231651 0.025442023 0.013048674 0.014619526 0.014796207 0.014780145 0.013202868 0.017372534 0.015547903 0.012563605 0.011439273 0.01150352 0.0113653885 0.01185367 0.011464972 0.012030351 0.012653552 1344.0 17.08259 22959.0 0.009103184 0.00078400626 0.00074045034 0.0005662268 0.00060978264 0.00026133543 0.0029618014 0.00043555905 0.00017422362 0.00034844724 0.00065333856 0.0012195653 0.0047040377 0.00074045034 0.0180757 0.00043555905 0.010409861 0.006010715 0.003179581 0.004137811 0.00074045034 0.0037893637 0.00043555905 0.002221351 0.0012631213 0.0011324536 0.001393789 0.00060978264 0.00047911494 0.0043555903 0.00052267086 0.00043555905 0.00065333856 0.008667625 0.007665839 0.019382378 0.009016072 0.010061414 0.0030924692 0.0026133542 0.0019164598 0.009930746 0.00030489132 0.0024391306 0.0047040377 0.0068818326 0.0061413823 0.0030489133 0.0064898296 0.002744022 0.010758309 0.017770808 0.01084542 0.0029618014 0.004878261 0.00457337 0.0015680125 0.00030489132 0.0006968945 0.00074045034 0.0010017857 0.00030489132 0.00060978264 0.018641926 0.0014373448 0.049174614 0.011716538 0.019905047 0.019774381 0.11446492 0.011280979 0.019948604 0.006707609 0.04765016 0.0011324536 0.0067511653 0.038198527 0.021081058 0.048347052 0.054967552 0.014721896 0.004921817 0.052049305 0.0387212 0.08027353 0.032274924 0.008014286 0.010148525 0.0043555903 0.013415218 0.002221351 0.00039200313 0.00030489132 0.00039200313 0.00060978264 0.00030489132 5.2655725 1.0 0.0 0.0 1.0 157184.0 180224.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541606800.0 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 11.0 0.0 4.0 0.0 4.0 0.0 155136.0 512.0 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 -155136.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -6.1403823 0.0 3.3071554 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 -154852.0 0.0 1008.0 0.0 0.0 0.0 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 162956.0 1008.0 163840.0 0.0 0.0 0.0 0.0 12.0 172032.0 28.0 162644.0 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: 0.23657443 0.0810374 0.08645819 0.098941766 0.10357828 0.09153329 0.00093335175 0.0009830442 0.000978723 0.0011645291 0.0010608234 0.0012811981 0.0015231782 0.00096143875 0.0009916862 0.0011386027 0.0010781077 0.00091606745 0.00097440195 0.0012185426 0.001030576 0.00096792035 0.0010132917 0.0008706962 0.0013352116 0.0008404487 0.0008404487 0.00087933836 0.001300643 0.0007993985 0.0011710108 0.0009052648 0.0010154522 0.0010781077 0.00093119126 0.00089230156 0.0030398748 0.0009074253 0.0009355123 0.00096792035 0.00092038856 0.0008426092 0.0007497062 0.00077995367 0.00079723797 0.00085125136 0.0011364422 0.001030576 0.001062984 0.0010586629 0.0008987832 0.0012055794 0.0010327365 0.0010132917 0.00085125136 0.0009938468 0.0011191579 0.00095495716 0.00076915097 0.0008361276 0.0013049641 0.001212061 0.00090310426 0.00092687015 0.006097034 0.0012185426 0.00092038856 0.0008166828 0.0018883089 0.0012423085 0.0010413786 0.00092687015 0.00095063605 0.0009916862 0.0011191579 0.0014216331 0.0014043488 0.0010370575 0.0011472449 0.0011040341 0.0011105158 0.001067305 0.0014237936 0.0009247096 0.0012444691 0.000946315 0.0010132917 0.0008469303 0.00087501726 0.0007993985 0.0008987832 0.00080804067 0.0009398334 0.0010932315 0.0009052648 0.0008879805 0.0010651445 0.00083828816 0.0010543418 0.0009852046 0.0012142215 0.008881966 0.0009960074 0.0011494054 0.009052648 0.0008231644 0.010562863 0.0008879805 0.0013524959 0.00076915097 0.001095392 0.00080804067 0.0010867498 0.0011990977 0.01103386 0.00080804067 0.002717955 0.00086853566 0.0011342816 0.0093464805 0.0014648438 0.0007734721 0.00092687015 0.00085125136 0.0011126763 0.00077995367 0.0010262548 0.0011321211 0.0009592782 0.00093119126 0.0009830442 0.0013049641 0.0012984824 0.0010500207 0.0010716261 0.001062984 0.0011105158 0.0020114596 0.0013092852 0.0019099143 0.0010867498 0.0009527966 0.0008188433 0.0010889104 0.001155887 0.001095392 0.0011969372 0.00097224145 0.0011213184 0.00080804067 0.00095063605 0.0009916862 0.0011623687 0.0007821142 0.0009981679 0.0009700809 0.00093119126 0.0008879805 0.0008836594 0.0009592782 0.00089230156 0.000946315 0.0011386027 0.0008339671 0.00074538507 0.00072810083 0.00086637517 0.001062984 0.001095392 0.0007842748 0.0010910709 0.0007648299 0.0008469303 0.0007669905 0.00093767286 0.00085125136 0.0007756326 0.00071081653 0.0013827434 0.0009895257 0.00088581996 0.00068272953 0.0009938468 0.0009916862 0.0009484755 0.00085125136 0.0009484755 0.0007821142 0.0008188433 0.00082100386 0.001417312 0.0008188433 0.0011818134 0.0009592782 0.0008534119 0.00089014106 0.0008987832 0.00088581996 0.0011450844 0.0011061947 0.0009873651 0.0009981679 0.0011429238 0.00091390696 0.00095711765 0.0008814989 0.0007777931 0.0008015591 0.0011580476 0.0010132917 0.000857733 0.00095495716 0.0011710108 0.0009074253 0.0008879805 0.00086853566 0.00090310426 0.0009592782 0.0011774924 0.0013244089 0.0008361276 0.00089230156 0.0007929169 0.0006632847 0.00081452227 0.0009895257 0.00082748546 0.0007043349 0.0009419939 0.0012703955 0.0010111311 0.00076915097 0.0010608234 0.0010240943 0.0007540272 0.0010111311 0.0008015591 0.0007583483 0.0011342816 0.0006956928 0.00085125136 0.00078643527 0.000857733 0.0007324219 0.00087285676 0.0007583483 0.0009052648 0.0009635993 0.0010284154 0.0009009437 0.0010867498 0.00096143875 0.0012617533 0.0009074253 0.0011148369 0.0014929307 0.36128807 9.7439715e-06 9.7439715e-06 4.330654e-06 8.661308e-06 1.0826635e-05 9.7439715e-06 9.7439715e-06 8.661308e-06 3.2479907e-06 8.661308e-06 7.5786447e-06 6.4959813e-06 1.1909298e-05 9.7439715e-06 1.1909298e-05 0.017115828 3.356257e-05 4.655453e-05 4.655453e-05 4.1141215e-05 4.2223877e-05 5.0885184e-05 3.5727895e-05 5.9546495e-05 3.0314579e-05 4.4389206e-05 3.2479908e-05 4.0058552e-05 4.1141215e-05 4.330654e-05 3.4645233e-05 0.022798728 0.00010285303 0.00010068771 9.20264e-05 0.00013100229 8.661308e-05 0.000105018364 0.00012342364 9.20264e-05 0.000106101026 0.000110431676 0.000106101026 0.00011367967 0.00011692766 9.9605044e-05 0.000105018364 0.025812864 0.0002046234 0.00017755682 0.00024792994 0.0002847405 0.00020137541 0.0003951722 0.0002641699 0.00015806887 0.00016456486 0.00013966359 0.00015482088 0.00015915153 0.00015915153 0.00014291158 0.00015806887 0.01309265 9.527439e-05 0.00010285303 0.00012991963 0.00016239953 0.00012991963 0.000562985 0.00040708148 9.743972e-05 0.000110431676 0.00014615958 7.578645e-05 0.00010285303 0.00010177037 8.661308e-05 0.00011692766 0.022878846 0.00030639378 0.0002944845 0.0003356257 0.00033346037 0.00032804706 0.0010122904 0.0007719391 0.00034645232 0.0003561963 0.00032046842 0.00029773248 0.00032588173 0.00032479907 0.00027824452 0.0003139724 0.050988037 0.00035186566 0.00028798849 0.00023168999 0.00039408953 0.00023818598 0.02439241 0.018647797 0.0003118071 0.00022952467 0.00023493798 0.0002403513 0.00024576462 0.00025983926 0.00023710332 0.00026958322 0.017654995 0.00044497472 0.00039625485 0.00042332144 0.0005467451 0.0004330654 0.0005077692 0.0004893639 0.0004482227 0.00045363602 0.00047637196 0.00044389206 0.00043198274 0.0004157428 0.00039084154 0.0004330654 0.02137286 0.00064093684 0.000585721 0.00066692074 0.00082282425 0.00062686217 0.00057056366 0.0006625901 0.00066367275 0.0006539288 0.0007275499 0.00064093684 0.0005932996 0.0005943823 0.0006019609 0.0006171182 0.059781432 0.0024175877 0.0023049905 0.0023980998 0.0069777663 0.00230066 0.0028452398 0.0027889411 0.0024219183 0.0022963292 0.0018567679 0.0018600159 0.0018264534 0.0019000745 0.0017983041 0.0017863949 0.019066788 0.0010122904 0.0008726268 0.0009657359 0.0010729196 0.00083906425 0.00096681854 0.0011053995 0.0008520562 0.0009992984 0.0008553042 0.0008780401 0.000917016 0.001055597 0.00092784263 0.0008726268 0.017114745 0.0010772502 0.0010079597 0.00112597 0.001164946 0.0010599276 0.001039357 0.0010848289 0.001148706 0.0011216394 0.001010125 0.0010956555 0.0010653409 0.0010837462 0.0010241996 0.0010350263 0.020838024 0.0017095257 0.0016802938 0.0016824591 0.0019390504 0.0016564752 0.0016142513 0.0017636588 0.0019877702 0.0017268483 0.0015395476 0.0016813765 0.0017571629 0.0016759632 0.0015904327 0.0017203523 0.014426491 0.0016402352 0.0023959344 0.0016521446 0.0022335348 0.0017863949 0.0017322616 0.0018914131 0.0028755544 0.0016034247 0.0014670091 0.0015103156 0.0017549975 0.0016553926 0.0016532273 0.001850272 0.016459733 0.0029459274 0.0036918826 0.002879885 0.003793653 0.002953506 0.0027337254 0.003046615 0.004296009 0.0027759492 0.002413257 0.0026308724 0.002902621 0.0028040984 0.0027228987 0.003033623 0.008047438 0.0031635428 0.0029372661 0.0032869664 0.0034472006 0.003111575 0.0030347058 0.00322742 0.003217676 0.0032598998 0.0030238791 0.003188444 0.0031602948 0.0031906094 0.0029870686 0.0031483856 1284.0 7.109813 9129.0 0.0031766896 0.005148428 0.0035053128 0.0025194436 0.0035053128 0.0052579693 0.0042721 0.0027385256 0.0036148538 0.0024099024 0.0023003614 0.0018621974 0.0020812794 0.0035053128 0.0122685945 0.0018621974 0.0026289846 0.0023003614 0.0021908204 0.0085442 0.0019717384 0.0025194436 0.0021908204 0.0036148538 0.0038339358 0.0033957716 0.0018621974 0.0029576076 0.0027385256 0.005148428 0.0027385256 0.0024099024 0.0037243948 0.0036148538 0.0014240333 0.0032862306 0.0026289846 0.0036148538 0.0019717384 0.0035053128 0.0037243948 0.0054770513 0.0021908204 0.0056961332 0.0030671486 0.0037243948 0.0024099024 0.004600723 0.0031766896 0.004053018 0.012925841 0.0042721 0.003943477 0.0028480666 0.0025194436 0.0031766896 0.0026289846 0.0021908204 0.0020812794 0.0018621974 0.0028480666 0.0023003614 0.0036148538 0.0023003614 0.0029576076 0.0036148538 0.0037243948 0.0061342972 0.005586592 0.08796144 0.0032862306 0.0032862306 0.07941724 0.0035053128 0.16584511 0.0020812794 0.005148428 0.0031766896 0.0031766896 0.0030671486 0.003943477 0.0037243948 0.16639282 0.0033957716 0.083908424 0.004162559 0.0042721 0.09749151 0.011282725 0.0021908204 0.0021908204 0.0014240333 0.0036148538 0.0021908204 0.0029576076 0.0024099024 4.6299157 0.0 0.0 0.0 6.0 462848.0 475136.0 0.0 0.0 13.0 0.0 1.0 0.0 0.0 0.0 1542028900.0 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 12.0 0.0 5.0 0.0 5.0 0.0 53248.0 4096.0 4096.0 7.0 0.0 0.0 1.0 4.0 0.0 0.0 -155648.0 0.0 0.0 0.0 196608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 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 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8380537 0.0 0.0 0.0 4.8033214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6462896 4.4605284 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9205682 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6845446 0.0 3.0863082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154533.0 0.0 0.0 0.0 194979.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5505.0 604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49814.0 0.0 728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 106576.0 728.0 471040.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 106496.0 0.0 0.0 0.0 0.0


Input: 0.17633176 0.0038060627 0.0031622276 0.0029581618 0.003495482 0.0017116208 0.0009923816 0.004547449 0.009191394 0.000879539 0.00089746725 0.00064647174 0.0030762774 0.0010024003 0.00042289586 0.0026634003 0.0043407464 0.0005320473 0.0006612362 0.00042922347 0.0018703387 0.0003722749 0.0003691111 0.00038862127 0.0016356894 0.0003068895 0.0005352111 0.0006702003 0.00176066 0.00069287425 0.00034538252 0.00027419682 0.012286654 0.0002689238 0.00044715172 0.0010635672 0.0020074372 0.00094808824 0.00035012825 0.0006491082 0.002224158 0.00048669934 0.00039125775 0.00029897998 0.0024503705 0.0003696384 0.0009275235 0.0002720876 0.0033689297 0.0004750987 0.00042605968 0.00045242475 0.0016583634 0.00079042505 0.00032745427 0.00028474286 0.0014912088 0.00035961968 0.00039336696 0.00035329204 0.0014996456 0.0016124882 0.0004698257 0.00030478032 0.004722513 0.008616635 0.001970526 0.0021677366 0.0032972167 0.027433919 0.0009169774 0.0004972454 0.0017269127 0.0013309092 0.0005684311 0.0007123844 0.003616234 0.0057728975 0.0018703387 0.0015376114 0.029488286 0.0009965999 0.0012829247 0.0017037113 0.0025294656 0.0012470682 0.0010646218 0.0009364876 0.0044525345 0.00052150124 0.00078989775 0.00085106475 0.003830846 0.0004060222 0.0006422533 0.0014521885 0.0017912434 0.0044614985 0.00077776983 0.0015418298 0.004223158 0.0059157964 0.002579032 0.00085791963 0.010846593 0.0032603056 0.010403133 0.00025837775 0.0035455758 0.0015534305 0.0022072843 0.00452372 0.0027509322 0.0004745714 0.002914923 0.0021128973 0.0059674717 0.0079010865 0.0011273707 0.000342746 0.0022726697 0.0002947616 0.00029581616 0.00023148539 0.002217303 0.0046244347 0.00025363205 0.0017142574 0.003163282 0.0004766806 0.00034485522 0.013644455 0.0025394843 0.030587709 0.0002346492 0.00026786918 0.0025294656 0.015469973 0.0002641781 0.021536577 0.001715312 0.027816212 0.00025152284 0.00029370698 0.0050420575 0.00024203141 0.00026365079 0.00023306729 0.0025183922 0.0004397695 0.00024519523 0.0002357038 0.0018392279 0.00027419682 0.00028948855 0.00032956348 0.001743259 0.00047826252 0.00028527016 0.00024203141 0.00225896 0.00077724253 0.0003053076 0.00035118285 0.0021271345 0.012837157 0.0002720876 0.0002341219 0.0019452155 0.00024783175 0.00025310475 0.0002383403 0.0015971964 0.00026576 0.00024888632 0.00024308602 0.002028529 0.0002726149 0.0002372857 0.00024994093 0.005151736 0.010911452 0.00025890506 0.00025574127 0.0021181705 0.0005447025 0.00056474 0.00022410316 0.0018777209 0.003895704 0.0002362311 0.0026249073 0.0040665497 0.0003380003 0.0005694857 0.0009027403 0.005232941 0.00022937618 0.00025046823 0.008809627 0.00262438 0.000641726 0.0002351765 0.00022673968 0.0021914653 0.0002341219 0.00023043079 0.00027630603 0.005836701 0.00055261207 0.00062010664 0.0004766806 0.0021012968 0.0002947616 0.00044398793 0.0002995073 0.0027709696 0.0012918889 0.00023992221 0.0041145342 0.0027388043 0.0005099006 0.00028737934 0.0004714076 0.0033531107 0.00031638093 0.004051258 0.00075404125 0.003495482 0.0010171647 0.0011953927 0.0020939144 0.026985712 0.002220994 0.0014368967 0.0061678463 0.0035487395 0.0010024003 0.0012091025 0.000907486 0.0022874342 0.00096759835 0.0013699295 0.001510719 0.0025447574 0.001272906 0.0015059733 0.0016293619 0.0028105173 0.0016003603 0.0014384787 0.0009907996 0.0060544764 0.008921943 0.019946236 0.15991423 0.0037817396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000949128 7.650004e-06 5.012071e-06 1.3189662e-06 5.8034507e-06 3.1655186e-06 2.3477596e-05 2.3213803e-05 1.635518e-05 7.9137965e-07 5.2758645e-07 3.4293118e-06 5.5396576e-06 3.1655186e-06 8.968969e-06 2.295001e-05 0.0039732535 7.913796e-06 3.8513812e-05 4.4844846e-06 0.00030626392 7.650004e-06 0.00015405525 1.8465525e-05 1.1870695e-05 5.5396576e-06 3.9041395e-05 1.7410353e-05 2.295001e-05 2.9017254e-05 1.635518e-05 0.00020945181 0.0033696946 1.7410353e-05 2.6379323e-05 1.6618973e-05 0.00025350528 5.091209e-05 0.00018729319 6.858624e-05 1.8993112e-05 1.8993112e-05 3.7986225e-05 5.0648297e-05 1.6882766e-05 2.4005183e-05 1.2134488e-05 0.0001519449 0.0039745723 6.0144856e-05 5.5396576e-05 4.1415537e-05 0.00037933464 0.000102615566 0.00020048284 7.544486e-05 7.3070725e-05 4.590002e-05 3.87776e-05 5.012071e-05 4.748278e-05 5.5924163e-05 3.6667258e-05 0.00016513455 0.0137916375 0.0001830725 0.0020111594 0.00018571042 0.0010137573 0.0003970088 0.0031747513 0.0016484439 0.00013796386 5.1175884e-05 6.067244e-05 0.0006919296 6.22552e-05 5.091209e-05 0.00016223283 0.0006885003 0.059065413 0.0006051416 0.007950728 0.0013118436 0.0077359998 0.003961383 0.01662161 0.0069852443 0.00026300183 9.602073e-05 0.00011369488 0.0018811094 9.9450044e-05 0.0001440311 0.00040782432 0.00080720725 0.011007828 0.00037933464 0.00079612795 0.0003463605 0.0016426403 0.001049897 0.0024851959 0.00157933 0.00029333806 0.00014297593 0.00020285699 0.00044818467 0.00014561386 0.00016592593 0.00024664667 0.0006776848 0.010161051 0.00071065896 0.0009675935 0.00045240537 0.0014801438 0.0008757935 0.002871653 0.0014316058 0.00037036568 0.00022422423 0.00017041042 0.00032578464 0.00021156216 0.0002178932 0.0002682777 0.00087051763 0.0040996103 0.00041573812 0.00042075018 0.00023952425 0.0009776177 0.00055765884 0.0009129883 0.00050780195 0.00052811403 0.00018017077 0.0001598587 0.00019810871 0.00013005006 0.00015379145 0.0002954484 0.0010277384 0.018106503 0.001935187 0.002343539 0.0021944959 0.008618915 0.007897969 0.0058150575 0.0048915176 0.02649249 0.0028159926 0.0048155454 0.006549458 0.0039679776 0.0032937222 0.009331421 0.053545013 0.06859468 0.008753187 0.00888904 0.0074289446 0.03532112 0.03044332 0.021353798 0.014867386 0.0791749 0.009125663 0.015552721 0.0183302 0.018158734 0.0147207165 0.039471116 0.13817753 0.01453949 0.002110082 0.0019462664 0.0020509923 0.0090536475 0.006873132 0.0049696006 0.0034126928 0.013815379 0.0020008716 0.0030230703 0.0029209824 0.004203545 0.0042006434 0.009530322 0.01853675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5672.0 7.6200633 43221.0 0.089192756 0.0001156845 0.00020823212 2.3136901e-05 0.00164272 0.00034705352 0.00037019042 0.0012493926 0.008977118 0.000231369 0.0 2.3136901e-05 0.00050901185 2.3136901e-05 0.00080979156 9.2547605e-05 0.03195206 0.0035630828 0.0022442795 0.0015733093 0.006339511 0.00018509521 0.0002776428 6.94107e-05 0.0005321487 6.94107e-05 0.0001619583 6.94107e-05 0.0005552856 4.6273803e-05 0.0 9.2547605e-05 0.0057148146 0.04652831 0.0017352676 0.009023392 0.028365841 0.00395641 0.005159529 0.0010642974 0.0010180237 0.0059230467 9.2547605e-05 0.00039332733 0.0063626477 0.0033317138 0.033803012 0.0031234815 0.006223826 0.010272784 0.004488559 0.0071724392 0.007056755 0.0031003447 0.0050207074 0.0001156845 0.0015270355 4.6273803e-05 2.3136901e-05 0.0028921126 0.00076351775 0.0001156845 2.3136901e-05 0.01978205 0.004673654 0.037736285 0.01612642 0.011337082 0.013072349 0.029314453 0.0038869993 0.002082321 0.09058097 0.020892622 0.08132621 0.0008792022 0.025404317 0.013095486 0.013604498 0.019434996 0.005390898 0.0011337082 0.026306657 0.011730409 0.05497328 0.0062006894 0.013997825 0.0026144697 0.0048124753 0.0015038985 0.0001619583 6.94107e-05 0.0002776428 0.07924388 2.3136901e-05 0.032345388 5.0444164 5.0 0.0 0.0 1.0 1896448.0 1921024.0 0.0 0.0 180.0 0.0 1.0 0.0 0.0 0.0 1537981800.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1884160.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1884160.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7711496 0.0 3.787482 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1882992.0 0.0 1604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 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 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 2.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1883140.0 1604.0 1916928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 560.0 960.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.20016742 0.011502511 0.010602678 0.0065987725 0.019907923 0.0024902343 0.0026646205 0.0021484375 0.011202567 0.0014160157 0.00242048 0.002169364 0.006424386 0.0017578125 0.0019391741 0.0052246093 0.0073939734 0.0016322545 0.00082310266 0.0010672433 0.005559431 0.0052455356 0.0010044643 0.0012276786 0.0049455916 0.0011230469 0.0005859375 0.00085100444 0.0028808594 0.0005998884 0.00041155133 0.0004673549 0.009214565 0.0008370536 0.0005859375 0.0010044643 0.027483258 0.0024553572 0.0005998884 0.00086495536 0.0022879464 0.0007952009 0.0006766183 0.0020298548 0.0019391741 0.0018833706 0.0017508371 0.0009347098 0.0021763393 0.0005092076 0.0013462611 0.0041224887 0.0017299107 0.0015694754 0.0010044643 0.00038364955 0.0020856585 0.0013044085 0.0034877232 0.007052176 0.0014439174 0.0012834822 0.00047433036 0.0013462611 0.0050153458 0.014634486 0.0068638395 0.0020298548 0.010553851 0.002532087 0.006061663 0.0013811383 0.0026576451 0.0012625558 0.0008161272 0.00069754466 0.0065708705 0.002406529 0.0034179688 0.0012137276 0.011356027 0.0048688618 0.004547991 0.004813058 0.0047921315 0.0030831473 0.00632673 0.004568917 0.0015066965 0.0014020647 0.00069056917 0.0036342076 0.0022879464 0.0026576451 0.005503627 0.0050502233 0.0006487165 0.005217634 0.00095563615 0.0036690847 0.0046875 0.007784598 0.0039481027 0.0009626116 0.009667968 0.00453404 0.0037597655 0.0004394531 0.0053362167 0.0017787388 0.0050223214 0.0049107145 0.002783203 0.00055106025 0.005496652 0.0046875 0.013860212 0.007080078 0.0013532366 0.0012276786 0.0022460937 0.0012416295 0.0005859375 0.00062779017 0.0022391183 0.00069056917 0.0009626116 0.00029296876 0.0020228794 0.001813616 0.00046037947 0.0144112725 0.0069614956 0.0062709264 0.0017229352 0.00069754466 0.0027204242 0.01640625 0.0034598215 0.04623326 0.0019321986 0.010825893 0.0010393416 0.0004045759 0.03065011 0.00038364955 0.00022321429 0.00072544644 0.0016322545 0.000453404 0.00078822544 0.0005371094 0.0010811941 0.00048828125 0.00023716518 0.0002092634 0.0013950893 0.00018833706 0.0013532366 0.00033482144 0.0006068638 0.0013113839 0.00032087055 0.0008858817 0.00076032366 0.0004394531 0.00020228795 0.00018136161 0.0007393973 0.00027901787 0.00033482144 0.00043247768 0.0009137835 0.00033482144 0.00055106025 0.00031389509 0.0015345982 0.0004394531 0.0004394531 0.00055106025 0.0008858817 0.00034179687 0.0005371094 0.0002999442 0.0017089844 0.00078125 0.0004394531 0.00025809152 0.0011579241 0.00029296876 0.0006138393 0.0002859933 0.009123884 0.008782087 0.0042271204 0.0056361607 0.008244977 0.00092075893 0.0043666293 0.003627232 0.0023577008 0.0016810825 0.0010742188 0.0011648996 0.0052385605 0.0010253906 0.0027762277 0.0017020089 0.0017857143 0.0012834822 0.001234654 0.0009626116 0.0007463728 0.0009416853 0.00083007815 0.0015485492 0.0014718192 0.0007045201 0.0004394531 0.0012904576 0.0012904576 0.0005371094 0.0004813058 0.0007672991 0.0013811383 0.0007463728 0.00053013396 0.0002999442 0.0009137835 0.0006347656 0.0005371094 0.00051618303 0.015764508 0.004234096 0.0005022322 0.0028738838 0.001688058 0.0005998884 0.00041155133 0.00059291295 0.0021065848 0.0019321986 0.00095563615 0.0012904576 0.00051618303 0.00038364955 0.001374163 0.0019042969 0.0031180244 0.0019182478 0.0010811941 0.00076032366 0.0010323661 0.00095563615 0.004094587 0.03327288 0.021582734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00661463 7.02563e-05 6.674348e-05 7.376911e-05 2.1076889e-05 5.269222e-05 3.161533e-05 4.2153777e-05 2.8102519e-05 3.161533e-05 1.4051259e-05 3.512815e-05 2.4589703e-05 3.512815e-05 3.512815e-05 1.7564074e-05 0.012748005 6.674348e-05 0.00010538444 0.0001440254 0.00029156363 0.00020725607 0.00029507643 0.00018617918 1.7564074e-05 2.1076889e-05 1.4051259e-05 8.0794736e-05 3.512815e-05 1.4051259e-05 0.00013348696 2.8102519e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010176624 9.835881e-05 0.00013348696 7.7281926e-05 0.0004988197 0.00020374326 0.00020023044 0.0001194357 0.00036884556 0.00018266636 6.674348e-05 0.0001440254 0.00036533273 0.00043910183 0.0005163838 0.0007974089 0.018213945 0.000702563 0.0019144841 0.0004812556 0.0022833296 0.00072363985 0.004415608 0.002599483 0.00012997414 0.0004496403 0.0007131014 0.0009238703 0.00026346112 0.00031615334 0.0001194357 0.0017212792 0.020153018 0.00036884556 0.0062492974 0.0024414062 0.0058839647 0.003965968 0.020708043 0.008919037 0.00047071718 0.00046369154 0.00013699978 0.0003547943 0.00036181993 0.0004531531 0.00048476845 0.00052692223 0.005550247 8.782037e-05 0.003031559 0.0015456385 0.0046755564 0.0024976113 0.011792519 0.006375759 4.566659e-05 5.6205037e-05 4.566659e-05 3.161533e-05 3.512815e-05 5.269222e-05 3.512815e-05 0.000112410075 0.0060174516 0.00047422998 0.00056556315 0.0005725888 0.0008114602 0.00075174234 0.0017880227 0.0011276136 0.00024238422 0.00027399955 0.00020023044 0.00022833295 0.00020023044 0.00047071718 0.0004074865 0.00025643548 0.034850635 0.004278608 0.006407374 0.0026837904 0.0049249665 0.0050198124 0.0022411759 0.0018372021 0.015547718 0.004015147 0.0012611005 0.0014156643 0.00541676 0.0018653047 0.0035549686 0.0053991964 0.06452689 0.01029606 0.01236862 0.009389753 0.019432891 0.019176455 0.008114602 0.010390906 0.041250985 0.013826439 0.0022622526 0.0028524057 0.021263069 0.0032177384 0.01048224 0.01733574 0.08388953 0.019573404 0.024818037 0.014068823 0.029718412 0.034871712 0.014079361 0.014613309 0.06011831 0.02163894 0.003948404 0.004496403 0.034400996 0.009554856 0.016594537 0.030881155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 570.0 23.826315 13581.0 0.060157575 0.0047860984 0.0003681614 7.363228e-05 0.014873721 0.006847802 0.00022089684 0.004417937 0.0034607172 0.002945291 0.00044179367 0.00029452913 0.0009572196 0.011560268 0.01259112 0.004417937 0.003166188 0.0012517488 0.002356233 0.0011044842 0.0030189236 7.363228e-05 0.0026507622 0.00029452913 0.0013990133 0.0015462779 0.024666814 0.001030852 0.0003681614 0.00058905827 0.00029452913 0.008762241 0.023783227 0.010897578 0.0019880715 0.011339371 0.012885649 0.0074368604 0.011560268 0.0012517488 0.0022089684 0.004049775 0.00022089684 0.000515426 0.0066269054 0.0042706723 0.0027243944 0.0019144393 0.00905677 0.005890582 0.006553273 0.014284662 0.004933363 0.0052278917 0.0074368604 0.0066269054 0.004417937 0.0012517488 0.003387085 0.00581695 0.0009572196 0.006258744 0.0021353362 0.0154627785 0.00029452913 0.049701788 0.0075104926 0.03541713 0.026213093 0.07569399 0.01354834 0.0077313893 0.01421103 0.04359031 0.0014726456 0.0016935425 0.030189235 0.013990133 0.043443047 0.04616744 0.017156322 7.363228e-05 0.047271922 0.04035049 0.054414254 0.01097121 0.0072159637 0.005890582 0.008246816 0.009277667 0.0027243944 0.00014726457 0.00044179367 7.363228e-05 0.0003681614 0.00014726457 5.485992 0.0 0.0 0.0 1.0 143360.0 147456.0 0.0 7.0 124.0 0.0 0.0 0.0 0.0 0.0 1285356700.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 110592.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4672766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9980755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.440353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10547.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -109157.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 323.0 124912.0 160.0 120984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 524.0 114688.0 0.0 0.0 0.0 0.0