Input: 0.040915098 0.0051556756 0.0048684515 0.0056008734 0.005643957 0.0043370863 0.004696117 0.004581227 0.0047392 0.0048253676 0.0033318014 0.0047392 0.004710478 0.005055147 0.0046099494 0.0046817553 0.0046099494 0.004236558 0.0041360296 0.004466337 0.0041647516 0.0036908318 0.0038057214 0.0041647516 0.004451976 0.0040642233 0.0035903032 0.0046099494 0.0039493334 0.0042078355 0.0038344439 0.0038200826 0.004509421 0.004250919 0.0030158549 0.00390625 0.0036621094 0.00343233 0.00390625 0.004308364 0.0028578814 0.002829159 0.0020823758 0.0034179688 0.0041503906 0.0033892463 0.0041647516 0.003374885 0.0044088922 0.0044376147 0.003848805 0.0037482767 0.0043370863 0.004250919 0.0044376147 0.0044088922 0.0047392 0.003030216 0.004121668 0.0042796414 0.0039924174 0.0038631663 0.0041503906 0.0031738281 0.003762638 0.004294003 0.0037913602 0.0042652804 0.0035615808 0.0038200826 0.0042796414 0.0036908318 0.004107307 0.0040785847 0.0026568244 0.003848805 0.0032169118 0.0046817553 0.0036764706 0.0038918888 0.0042796414 0.0032169118 0.00402114 0.003231273 0.0034466912 0.0033318014 0.0035328586 0.0035184973 0.0040498623 0.003575942 0.0030589383 0.003575942 0.003575942 0.0037195543 0.0030014936 0.0035903032 0.0037769992 0.004509421 0.0040642233 0.0043945312 0.004638672 0.0040929457 0.004523782 0.0037339155 0.005514706 0.0040785847 0.0036764706 0.0035615808 0.005299288 0.0044806986 0.0043801703 0.0053280103 0.004696117 0.0030732995 0.004250919 0.004351448 0.005643957 0.0045955884 0.004581227 0.004193474 0.0044806986 0.0031451057 0.003288718 0.0031881894 0.0034466912 0.003978056 0.003489775 0.003489775 0.0038057214 0.0038344439 0.0033174402 0.0055003446 0.0035615808 0.0037195543 0.0032456343 0.003762638 0.0034036075 0.0033174402 0.0031163832 0.004121668 0.004193474 0.0035903032 0.0035184973 0.0031163832 0.003978056 0.0032025506 0.0030589383 0.0035615808 0.0021972656 0.002355239 0.0033318014 0.0032456343 0.0030158549 0.002355239 0.0034179688 0.00343233 0.0028004367 0.0031881894 0.0033174402 0.002556296 0.0035615808 0.003705193 0.0025132124 0.0033605238 0.0033605238 0.0023839613 0.0026855469 0.00295841 0.003030216 0.0026711856 0.0031881894 0.003288718 0.0035184973 0.0030445773 0.0029871324 0.0027860755 0.00390625 0.0034610524 0.003374885 0.003504136 0.0029296875 0.0026855469 0.0036764706 0.004121668 0.003374885 0.0033892463 0.004308364 0.0040067784 0.0026855469 0.0029727712 0.0038631663 0.0042796414 0.004983341 0.0040929457 0.0036621094 0.003848805 0.0032025506 0.002829159 0.0035328586 0.003762638 0.0036190257 0.003489775 0.0021829044 0.0028578814 0.0025132124 0.0029727712 0.0028578814 0.002829159 0.003762638 0.0036046645 0.0033318014 0.002699908 0.003848805 0.0028722426 0.0032456343 0.0028722426 0.004236558 0.0038631663 0.0031738281 0.0053710938 0.003504136 0.004193474 0.0029440487 0.003848805 0.0044088922 0.0038200826 0.0036908318 0.0031738281 0.004035501 0.0027717142 0.002628102 0.0024988512 0.0044950596 0.0037482767 0.0039924174 0.0044806986 0.003920611 0.0042078355 0.0035472196 0.0040498623 0.00496898 0.0033892463 0.0031451057 0.0027717142 0.003489775 0.0034610524 0.00343233 0.004236558 0.0045955884 0.0033318014 0.0033174402 0.0042078355 0.0035472196 0.0039924174 0.00343233 0.007798139 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0069452543 0.00017490672 0.00022592118 8.016558e-05 0.00016033115 0.0006850513 0.00014575559 0.00065590016 0.00023320895 0.00013118004 0.0005465835 0.0006486124 0.00014575559 0.0006850513 0.0015960238 0.0018656716 0.019443797 0.0017417794 0.0015231459 0.0014429804 0.0019458372 0.0018656716 0.0027766442 0.002018715 0.0018438083 0.0010202891 0.0012024837 0.0014211171 0.0011733326 0.0014939948 0.0016761894 0.002186334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008242479 0.0011806203 0.0012024837 0.0010567281 0.001260786 0.0016834772 0.0014575559 0.0016616138 0.0011150303 0.0010348647 0.0014867071 0.0015012827 0.0010421525 0.0014721316 0.002149895 0.0023029384 0.07301626 0.063097596 0.054570895 0.06299557 0.058557313 0.05264692 0.06617304 0.059912838 0.056349114 0.047064483 0.045971315 0.05327367 0.051152926 0.0540316 0.05443243 0.057201784 464.0 6.400862 2970.0 0.007744108 0.01043771 0.006060606 0.01043771 0.0074074073 0.008417509 0.007744108 0.013804714 0.0067340066 0.0063973065 0.0023569025 0.0063973065 0.0067340066 0.00976431 0.00976431 0.0057239057 0.0074074073 0.00976431 0.00942761 0.0074074073 0.013131313 0.008080808 0.011784512 0.007744108 0.0114478115 0.0063973065 0.006060606 0.008417509 0.008080808 0.01010101 0.008080808 0.005050505 0.007070707 0.012794613 0.00942761 0.011111111 0.00976431 0.014141414 0.00976431 0.012457913 0.013131313 0.011111111 0.0067340066 0.012121212 0.011111111 0.014478114 0.008080808 0.014141414 0.011111111 0.006060606 0.013468013 0.01077441 0.011784512 0.009090909 0.01043771 0.0074074073 0.00976431 0.008754209 0.005050505 0.006060606 0.0067340066 0.0063973065 0.004040404 0.0074074073 0.0074074073 0.02087542 0.0114478115 0.015488216 0.014141414 0.016498316 0.013804714 0.00942761 0.019191919 0.014814815 0.0114478115 0.009090909 0.017171716 0.014478114 0.014478114 0.02087542 0.014478114 0.01043771 0.016161617 0.018181818 0.01885522 0.016835017 0.014478114 0.018181818 0.017845118 0.007744108 0.005387205 0.005387205 0.0063973065 0.008080808 0.008417509 0.0063973065 6.480518 0.0 0.0 0.0 2.0 69632.0 245760.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1127971300.0 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 7.0 0.0 9.0 4.0 6.0 1.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -64000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.962826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.787904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 0.0 0.0 0.0 0.0 172032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 216.0 244268.0 2604.0 241664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.7378707 0.000825839 0.0011178658 0.0016171372 0.0018447925 0.0024704519 0.0009263213 0.00089099555 0.0009161161 0.0009074809 0.0010786148 0.0006468549 0.0021014935 0.0007897282 0.00070416124 0.0010566344 0.0009216112 0.00091533107 0.000911406 0.0010040381 0.0008855004 0.0007755979 0.00094908685 0.00076617766 0.000997758 0.000825839 0.00061780924 0.0006735455 0.00078737317 0.0005612879 0.0006719755 0.00062251935 0.000869015 0.0007889432 0.0006248744 0.0016124272 0.0045421147 0.0010487841 0.00063664967 0.0009043408 0.0010181684 0.0023228684 0.0024845821 0.0016689484 0.0011414163 0.00097028236 0.0007583275 0.00092239626 0.00096164714 0.0009647872 0.0008517446 0.0009867677 0.0010330838 0.0012709443 0.0006766856 0.0007198616 0.001040934 0.0006837508 0.00063900475 0.0005612879 0.00069160096 0.0005950437 0.00071829156 0.0007724578 0.0013423809 0.0013282506 0.0025065627 0.00090591086 0.0017168346 0.0008548847 0.0013627914 0.001822812 0.0020905032 0.0018785483 0.0012356185 0.0006978811 0.0016336227 0.0028747362 0.0014703389 0.0011775271 0.0009475168 0.0010919601 0.00073477696 0.0007755979 0.00084310945 0.00075754244 0.0011351361 0.0007630376 0.00068767584 0.00065627514 0.00065863016 0.001215208 0.0017725709 0.000912191 0.00079757837 0.00063900475 0.0005973988 0.00093888165 0.0014970294 0.0008949206 0.000737917 0.00085331465 0.0013415959 0.00087215507 0.0007967934 0.0011626118 0.0006594152 0.0011681069 0.000738702 0.0015300002 0.0015237201 0.00097028236 0.0009828426 0.0013400259 0.0011202208 0.0014263779 0.0014083225 0.0010063932 0.0007300668 0.001172032 0.00066334027 0.0009954029 0.00082662405 0.0010291587 0.00073085184 0.0011367062 0.0012450387 0.001993161 0.0014868242 0.0020591025 0.0009820577 0.0009498719 0.000695526 0.00068296574 0.0011092306 0.0007198616 0.000912191 0.0012560289 0.00070965633 0.0014648438 0.0015888766 0.0010016831 0.00151901 0.0009867677 0.0014883943 0.0006853208 0.0017427402 0.0017686457 0.0007457672 0.0011123706 0.0014373681 0.0011202208 0.0008556697 0.0009687123 0.0006044639 0.0006193793 0.00056207296 0.00078580313 0.00073477696 0.0006256594 0.0008015035 0.0010236636 0.0007033762 0.0009679273 0.0008509596 0.0008509596 0.0009671423 0.0017113395 0.0010260186 0.0008376143 0.0005510827 0.00088157534 0.0008509596 0.0008329042 0.00090826594 0.0015409905 0.00091768615 0.0012379736 0.0007755979 0.00072614173 0.0009475168 0.00085723976 0.001300775 0.0014130325 0.0010016831 0.0014208828 0.00108411 0.000998543 0.0015896616 0.00074498216 0.00063978974 0.0006986661 0.0006429298 0.00086508994 0.0010095333 0.0018369423 0.0007245717 0.0009278914 0.0007646076 0.00091376103 0.0010001131 0.0007300668 0.0005942587 0.0012913548 0.0010268036 0.001258384 0.00061074406 0.0009867677 0.0009357416 0.0007606825 0.0011053055 0.00060838903 0.0010228786 0.00047886104 0.00092239626 0.0006240894 0.0012536739 0.0004984865 0.0013753517 0.00050241157 0.00081720384 0.0009169011 0.00051889697 0.0010134584 0.0017639357 0.0006790406 0.0007214316 0.0006193793 0.00073085184 0.00071436644 0.00068061065 0.0012678042 0.0009365266 0.0008713701 0.0006452849 0.0011798822 0.0007316368 0.0013926221 0.000522822 0.0008517446 0.000563643 0.0008470345 0.0014271629 0.0012929247 0.0017670757 0.0007198616 0.00090041576 0.00067119044 0.0007127964 0.0007332069 0.00052753213 0.0007504773 0.00065156503 0.0006688354 0.00079286826 0.0009726374 0.6508086 1.5712993e-06 3.1425986e-06 7.8564966e-07 5.1067227e-06 7.8564966e-07 3.1425986e-06 2.7497738e-06 3.1425986e-06 1.5712993e-06 1.5712993e-06 2.356949e-06 2.7497738e-06 1.964124e-06 3.928248e-06 1.5712993e-06 0.0038386842 1.060627e-05 1.4534518e-05 1.0999095e-05 2.0819716e-05 9.82062e-06 1.060627e-05 1.3356044e-05 1.3748869e-05 1.13919195e-05 7.856496e-06 1.2177569e-05 1.3748869e-05 9.03497e-06 1.3748869e-05 1.13919195e-05 0.0044833096 1.6105818e-05 3.181881e-05 1.7284292e-05 3.417576e-05 1.7677117e-05 2.2783839e-05 2.5926438e-05 2.5533613e-05 2.9461862e-05 2.0819716e-05 2.121254e-05 1.9248417e-05 2.2391016e-05 2.0034066e-05 1.9248417e-05 0.002154644 1.1784745e-05 2.7497737e-05 1.4141693e-05 3.181881e-05 1.2177569e-05 1.9248417e-05 1.7284292e-05 1.8855591e-05 1.9248417e-05 1.6498643e-05 1.5712993e-05 1.060627e-05 1.7677117e-05 1.4927343e-05 1.13919195e-05 0.0067393025 0.00010999095 8.759993e-05 5.3817e-05 0.0001488806 8.2100385e-05 0.0002753702 0.00014809496 5.53883e-05 4.2032254e-05 5.146005e-05 5.85309e-05 4.478203e-05 5.1852876e-05 4.5174853e-05 5.06744e-05 0.003958103 5.7352423e-05 7.188694e-05 4.831745e-05 8.485016e-05 4.713898e-05 6.0495022e-05 6.756587e-05 5.5781125e-05 5.617395e-05 5.9316546e-05 6.520892e-05 5.53883e-05 4.9103102e-05 4.831745e-05 4.2032254e-05 0.0054315887 8.092191e-05 0.00017794964 0.00010841965 0.00018973439 9.859903e-05 0.00032329484 0.00023294512 8.052909e-05 7.935061e-05 8.2886036e-05 7.227976e-05 8.3278865e-05 6.952999e-05 6.599457e-05 6.32448e-05 0.009845369 0.00026672805 0.00034529303 0.0004623548 0.0003657199 0.00018266354 0.00030758182 0.00027144194 0.00024865812 0.00019091286 0.00019798371 0.00021173258 0.00021762495 0.00017637834 0.00019091286 0.00019523394 0.0037208367 7.424389e-05 0.0001504519 7.935061e-05 0.00025258635 0.00011195507 0.0002769415 0.00019562677 0.00011038377 0.000105669875 9.624208e-05 0.00010802683 8.838558e-05 9.1135356e-05 8.720711e-05 8.2493214e-05 0.011071768 0.00035589928 0.00062498427 0.0003865396 0.00062616274 0.00037711184 0.000560561 0.00056213234 0.00042739342 0.00042189384 0.00040893065 0.00042071537 0.0003716123 0.00034607865 0.00038457548 0.00035275667 0.0063299793 0.0002675137 0.00038693246 0.00027144194 0.00059434393 0.00026829937 0.00041364454 0.00038732527 0.00038850374 0.00027419173 0.00027615586 0.00030993877 0.00029069037 0.000275763 0.00027104912 0.00025730024 0.0074789915 0.00037043382 0.0006014148 0.0003720051 0.00071454834 0.00041050193 0.00044546335 0.00049456646 0.0004886741 0.00045371265 0.00046981848 0.0004957449 0.00047021132 0.00039911002 0.00041717995 0.00039871718 0.010279047 0.0007027636 0.0011847597 0.00070629903 0.0014114196 0.0007628658 0.0008151115 0.00087128545 0.0010409858 0.0007970416 0.00084575184 0.0008426092 0.00084457337 0.0007302613 0.0007707223 0.0007251546 0.0051900013 0.0004713898 0.001056306 0.00049103104 0.0011985085 0.00058216637 0.0005900229 0.00067526585 0.00102488 0.000576274 0.0005479906 0.00063873315 0.0006265556 0.0005307063 0.0005554543 0.0005303135 0.0071792663 0.0010653409 0.002211211 0.0011317283 0.0021581796 0.0012939649 0.0012322915 0.0013866716 0.0019299483 0.0012766806 0.0011482269 0.0012727524 0.0013741013 0.0010028818 0.0012373981 0.0012570394 0.01717116 0.009022008 0.015344916 0.009022401 0.01706588 0.010135273 0.010913852 0.012451368 0.012225494 0.011532944 0.011085124 0.011816171 0.010677764 0.0095900325 0.010189876 0.010009962 1773.0 6.5854483 11676.0 0.022610484 0.0040253513 0.005909558 0.007108599 0.014816718 0.004367934 0.0037684138 0.009078451 0.005909558 0.027064063 0.018328195 0.006594724 0.0075368276 0.010277492 0.0146454265 0.009677972 0.007708119 0.0083076395 0.010277492 0.011390887 0.0060808496 0.010705722 0.007108599 0.0080507025 0.008478931 0.0072798906 0.004796163 0.005566975 0.0076224734 0.006252141 0.005823912 0.005652621 0.010962659 0.009849263 0.019355943 0.0085645765 0.018328195 0.005823912 0.014559781 0.01944159 0.0117334705 0.01824255 0.007879411 0.00668037 0.010277492 0.019955464 0.013189448 0.0059952037 0.007793765 0.016786572 0.005823912 0.007108599 0.0074511818 0.005909558 0.0074511818 0.0074511818 0.0054813293 0.0069373073 0.006337787 0.0080507025 0.008735868 0.0050531 0.006423433 0.0040253513 0.00445358 0.013617678 0.008393286 0.012076054 0.011904762 0.023210004 0.011562179 0.0085645765 0.007108599 0.02106886 0.004367934 0.012076054 0.012076054 0.015073655 0.020126756 0.015844468 0.008650223 0.011904762 0.020126756 0.025351148 0.022439191 0.010791367 0.0054813293 0.009763618 0.006423433 0.010448784 0.0057382667 0.009763618 0.006252141 0.005224392 0.010448784 0.019184653 6.4076076 0.0 0.0 0.0 6.0 1273856.0 1273856.0 1.0 15.0 24.0 1.0 1.0 0.0 0.0 0.0 1521063400.0 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 12.0 255.0 5.0 0.0 4.0 0.0 1789689700.0 4096.0 4096.0 70.0 0.0 0.0 2.0 4.0 8192.0 4096.0 0.0 -4096.0 -4096.0 -4096.0 12288.0 0.0 36864.0 -8192.0 -106496.0 -8192.0 4096.0 204800.0 8192.0 -8192.0 4096.0 0.0 -4096.0 4096.0 24576.0 -319488.0 0.0 8192.0 -4096.0 4096.0 4096.0 -8192.0 -4096.0 0.0 0.0 0.0 -20480.0 -4096.0 0.0 0.0 0.0 -4096.0 -4096.0 8192.0 -28672.0 0.0 -24576.0 4096.0 -8192.0 4096.0 -32768.0 0.0 212992.0 -12288.0 0.0 0.0 0.0 0.0 0.0 -2.2091353 0.0 0.0 6.4435935 0.0 -6.47196 0.0 0.0 0.0 3.660389 0.0 0.0 0.0 0.0 0.0 0.0 -6.438158 0.0 0.0 0.0 0.0 0.0 -6.025873 0.0 0.0 0.0 0.0 -3.9407365 0.0 0.0 0.0 4.8970494 0.0 0.0 0.0 0.0 -6.648562 0.0 3.9907029 0.0 0.0 0.0 0.0 0.0 0.0 2197.0 132.0 0.0 -276.0 -1395.0 -3027.0 2169.0 0.0 33964.0 -6206.0 -98793.0 -5033.0 7279.0 204403.0 11353.0 -2039.0 1395.0 0.0 -1395.0 503.0 26921.0 -321034.0 1707.0 5289.0 -1395.0 503.0 2045.0 -6912.0 -249.0 0.0 0.0 0.0 -10160.0 -318.0 0.0 964.0 -2006.0 -2791.0 -2509.0 1006.0 -28055.0 -3177.0 -27552.0 2168.0 -2304.0 802.0 -29450.0 0.0 205739.0 -7078.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 487.0 1269776.0 200.0 17204.0 1880.0 479232.0 0.0 0.0 1124.0 1345037000.0 740.0 483328.0 56.0 16528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 132.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.2035284 0.021801492 0.01004016 0.013841079 0.013912794 0.005952381 0.017355135 0.00502008 0.0043746415 0.005522088 0.006239243 0.004446357 0.00251004 0.0060958117 0.002653471 0.0027251865 0.0033706254 0.002151463 0.0012908778 0.010183591 0.002151463 0.0024383247 0.0022231785 0.0013625933 0.0015777395 0.0012908778 0.0016494549 0.0012908778 0.0027969019 0.0041594952 0.0029403327 0.0027969019 0.009753299 0.0017211704 0.00251004 0.00251004 0.0024383247 0.0022948938 0.0022948938 0.001506024 0.0018646013 0.0013625933 0.0029403327 0.003657487 0.0012191624 0.0032989099 0.010111876 0.0061675273 0.028973036 0.014056225 0.0061675273 0.004446357 0.0034423408 0.0040877797 0.0024383247 0.003944349 0.004016064 0.0028686174 0.00251004 0.0013625933 0.0017211704 0.0022231785 0.0017928858 0.0013625933 0.0019363167 0.0043746415 0.0022231785 0.0060958117 0.0027251865 0.0020797476 0.002653471 0.0016494549 0.0038726334 0.0030837636 0.0011474469 0.0022231785 0.001506024 0.00502008 0.0022948938 0.0022948938 0.0032271945 0.0011474469 0.0037292026 0.006812966 0.0027969019 0.009681583 0.0024383247 0.0030837636 0.0012908778 0.0018646013 0.00251004 0.0012908778 0.0016494549 0.0018646013 0.00093230064 0.003155479 0.002151463 0.008677567 0.0037292026 0.011833047 0.006310958 0.0141996555 0.005235227 0.0041594952 0.0050917957 0.015418818 0.0014343087 0.002653471 0.006454389 0.008749283 0.01004016 0.020654045 0.0065978197 0.0012908778 0.016135972 0.011187607 0.018000573 0.0043746415 0.0023666094 0.003155479 0.002008032 0.0027251865 0.0017211704 0.0014343087 0.0013625933 0.0014343087 0.0017211704 0.0011474469 0.0027969019 0.004302926 0.006741251 0.0019363167 0.0016494549 0.0013625933 0.005952381 0.0013625933 0.0019363167 0.0017928858 0.0013625933 0.0010757315 0.0010757315 0.0006454389 0.0013625933 0.0016494549 0.0016494549 0.0013625933 0.0011474469 0.0010757315 0.0014343087 0.0011474469 0.0017928858 0.001506024 0.0015777395 0.0015777395 0.001506024 0.0012191624 0.00093230064 0.0013625933 0.0012191624 0.0012908778 0.003012048 0.0015777395 0.0012191624 0.0012191624 0.0012191624 0.0016494549 0.0011474469 0.0014343087 0.0010757315 0.0016494549 0.00093230064 0.00093230064 0.00093230064 0.001004016 0.0017211704 0.0019363167 0.0011474469 0.0022948938 0.0010757315 0.001506024 0.0012191624 0.001506024 0.0006454389 0.0022231785 0.0012908778 0.000502008 0.0013625933 0.0013625933 0.0015777395 0.0015777395 0.0011474469 0.0013625933 0.0015777395 0.0015777395 0.0014343087 0.0013625933 0.0018646013 0.0017928858 0.0017211704 0.0018646013 0.0015777395 0.00071715435 0.0010757315 0.0012908778 0.0014343087 0.0012191624 0.0011474469 0.0012908778 0.0017928858 0.0014343087 0.001506024 0.0011474469 0.0012191624 0.0012191624 0.0017211704 0.0012191624 0.0013625933 0.001004016 0.001506024 0.0012191624 0.0008605852 0.0012908778 0.0014343087 0.0014343087 0.0013625933 0.001506024 0.0016494549 0.0013625933 0.0008605852 0.0015777395 0.0011474469 0.0012191624 0.00093230064 0.0014343087 0.0014343087 0.00078886974 0.001506024 0.0017211704 0.0006454389 0.0017928858 0.0017211704 0.0012908778 0.0012191624 0.0013625933 0.0015777395 0.0016494549 0.0010757315 0.0025817556 0.0017211704 0.0012191624 0.0016494549 0.0010757315 0.0011474469 0.0014343087 0.0017211704 0.002151463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.056681316 0.00020345052 0.0026855469 0.002766927 0.0023600261 0.0011800131 0.0115153 0.0053710938 0.00016276042 4.0690105e-05 0.00012207031 8.138021e-05 0.0 0.0 8.138021e-05 8.138021e-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 0.052978516 0.0013020834 0.0025634766 0.0049235024 0.0017903646 0.0016682943 0.010457356 0.004760742 0.0011800131 0.00020345052 0.00044759116 0.00016276042 0.00020345052 4.0690105e-05 0.00016276042 0.00048828125 0.042439777 0.0015055338 0.0037434895 0.0030517578 0.0032958984 0.0019124349 0.014078776 0.008626302 0.000773112 0.0007324219 0.0005289714 0.00020345052 0.00048828125 0.0006510417 0.0007324219 0.00056966144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03434245 0.0021158855 0.005167643 0.0035807292 0.0036621094 0.002766927 0.014119466 0.009318034 0.0012613932 0.0011393229 0.0010172526 0.0007324219 0.0010986328 0.0009765625 0.0010986328 0.0009358724 0.032633465 0.0041097007 0.0038248699 0.0078125 0.0030110676 0.0033365886 0.0071614585 0.0037841797 0.0037434895 0.001953125 0.0021158855 0.0016682943 0.0026448567 0.0013427734 0.0017496744 0.0024414062 0.020955404 0.005167643 0.0045166016 0.009521484 0.0040690103 0.004964193 0.011433919 0.006225586 0.004231771 0.0017089844 0.0017496744 0.0019124349 0.0020345051 0.001546224 0.0011393229 0.0021565754 0.05102539 0.014404297 0.01570638 0.02762858 0.012654622 0.015340169 0.03194173 0.020589193 0.011962891 0.007080078 0.006917318 0.0068766274 0.006632487 0.0068359375 0.0063476562 0.008056641 0.036417644 0.014363606 0.017211914 0.026407877 0.013305664 0.014933269 0.028361002 0.01981608 0.012817383 0.009684245 0.009887695 0.009236653 0.009684245 0.009155273 0.0094401045 0.009277344 156.0 19.942308 3111.0 0.027965285 0.00032144005 0.00096432015 0.0032144005 0.0028929606 0.0016072002 0.0041787205 0.0006428801 0.0022500805 0.00096432015 0.00096432015 0.0016072002 0.0019286403 0.010607522 0.024429444 0.018322082 0.053680487 0.042108648 0.019929282 0.009321761 0.007714561 0.009321761 0.004821601 0.006750241 0.008678881 0.005143041 0.0054644807 0.00032144005 0.00096432015 0.0022500805 0.0016072002 0.00096432015 0.00096432015 0.012857602 0.0025715204 0.018322082 0.005143041 0.0032144005 0.0022500805 0.00032144005 0.0006428801 0.0035358407 0.00096432015 0.0025715204 0.0006428801 0.0147862425 0.0028929606 0.0028929606 0.006750241 0.00096432015 0.010607522 0.015429122 0.006750241 0.0006428801 0.0016072002 0.005785921 0.0012857602 0.00032144005 0.004821601 0.0006428801 0.00032144005 0.00032144005 0.0006428801 0.004821601 0.0019286403 0.023143684 0.007714561 0.040180005 0.017357763 0.040501446 0.016393442 0.010286082 0.013179042 0.050787527 0.00032144005 0.0041787205 0.015750563 0.026036644 0.029572485 0.077467054 0.020572163 0.0006428801 0.054001927 0.038251366 0.06171649 0.011571842 0.0032144005 0.008036002 0.0012857602 0.005143041 0.0006428801 0.0 0.0006428801 0.00032144005 0.0006428801 0.00032144005 5.4579606 2.0 11.0 0.0 2.0 13944.0 32768.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1518559000.0 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 2048.0 512.0 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 -2048.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7983203 0.0 3.3926804 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 -1684.0 0.0 1376.0 0.0 0.0 0.0 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 75.0 9792.0 1376.0 16384.0 0.0 0.0 9336.0 4608.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.08335331 0.009207372 0.005566377 0.006240635 0.007469284 0.0042777946 0.0051543303 0.0038957146 0.0071845967 0.003768355 0.003730896 0.0032439316 0.0050494457 0.0039032064 0.0029892118 0.006038358 0.005558885 0.002734492 0.002674558 0.003266407 0.003416242 0.00404555 0.002921786 0.002674558 0.0031165718 0.0027794426 0.0027045251 0.0028768354 0.0031540305 0.0031690141 0.0026670662 0.002831885 0.0068924185 0.0026595744 0.0024423134 0.002824393 0.0045924485 0.0027719508 0.0025621816 0.0025097392 0.0026970333 0.0025771651 0.0025322146 0.0035885526 0.0028169013 0.0031315554 0.00298172 0.0029967036 0.005813605 0.003948157 0.0027869344 0.0051768054 0.0030266708 0.0035510939 0.0026595744 0.0024947557 0.0028094098 0.0035510939 0.0026820498 0.004577465 0.0028843272 0.003049146 0.002457297 0.0025322146 0.010960444 0.0030041954 0.002734492 0.003513635 0.0042403354 0.005558885 0.0036859454 0.0033862751 0.0032139646 0.0032589152 0.0025546898 0.0025247228 0.0031015882 0.0043826792 0.0030116872 0.0025696734 0.0049295775 0.0030116872 0.0028768354 0.0045250226 0.002764459 0.004569973 0.00485466 0.0042103687 0.0027494757 0.005326641 0.0027719508 0.0030940964 0.0026670662 0.0043077613 0.003543602 0.003513635 0.0028393767 0.004420138 0.002831885 0.003948157 0.0036634703 0.0059559485 0.0033338328 0.00323644 0.0043077613 0.005806113 0.004532514 0.0028094098 0.004015583 0.0032439316 0.004922086 0.004757267 0.0036185195 0.0026670662 0.005169314 0.004322745 0.008997602 0.008278394 0.0034686844 0.003198981 0.0029892118 0.0029442613 0.002389871 0.0027419839 0.0026670662 0.0039106985 0.002644591 0.0031165718 0.0036784536 0.003963141 0.002921786 0.0076865447 0.0037833382 0.0058360803 0.0032963739 0.0025247228 0.0035286185 0.0068249926 0.0031540305 0.013470183 0.0027419839 0.0054764757 0.0025546898 0.0027794426 0.0039331736 0.0026820498 0.002359904 0.0022250523 0.0024797723 0.0027794426 0.0024198382 0.002607132 0.0024123464 0.0024647887 0.0027045251 0.0025546898 0.0024722805 0.0026970333 0.0022774946 0.0024348218 0.0024423134 0.0032439316 0.0025022475 0.0033338328 0.0026970333 0.0027270003 0.0024198382 0.002487264 0.0025621816 0.0025397064 0.0026221157 0.0030041954 0.002644591 0.0027869344 0.0026670662 0.0030341623 0.0027719508 0.0027794426 0.0025022475 0.0023524123 0.0025097392 0.0025621816 0.0026296075 0.002891819 0.0028768354 0.0024198382 0.0022849864 0.0026970333 0.0024048546 0.0027569674 0.002457297 0.002831885 0.00591849 0.004105484 0.0030641295 0.005356608 0.0036709618 0.0031615223 0.003326341 0.004967036 0.0030041954 0.0034312257 0.0025996403 0.002831885 0.0044051544 0.0028393767 0.0025771651 0.0029742282 0.00298172 0.00310908 0.0027719508 0.0027944262 0.002891819 0.0027494757 0.0030716213 0.0030866046 0.0034986516 0.0030641295 0.0024947557 0.002921786 0.0028693436 0.0024423134 0.0026221157 0.0028468685 0.0034087503 0.0027045251 0.0024348218 0.0025247228 0.003416242 0.0037084208 0.0022924782 0.0027120167 0.008697933 0.0033862751 0.0028094098 0.0046523823 0.0040680254 0.0026895416 0.0026221157 0.0028169013 0.0037533713 0.002674558 0.0026520828 0.0028094098 0.002831885 0.0027719508 0.003573569 0.0037758467 0.004375187 0.0030416541 0.0027494757 0.002801918 0.0044276295 0.0031839977 0.0045549893 0.024048546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00646121 0.0003065952 0.00012490916 3.785126e-06 0.00021953731 8.3272775e-05 0.00012869429 0.0001173389 3.0281008e-05 0.00012869429 1.5140504e-05 2.6495882e-05 1.5140504e-05 1.5140504e-05 1.5140504e-05 6.0562015e-05 0.0063552265 0.00020061167 0.00021575218 7.570252e-06 0.0002346778 0.0001021984 0.00012112403 0.00013626454 4.1636387e-05 2.6495882e-05 6.434714e-05 3.785126e-05 6.0562015e-05 3.785126e-05 1.892563e-05 9.084302e-05 0.0058972263 4.542151e-05 0.00014004965 2.6495882e-05 0.00042771923 0.000109768655 8.7057895e-05 0.00014004965 5.2991763e-05 6.0562015e-05 0.00024224806 6.0562015e-05 0.00010598353 8.7057895e-05 2.6495882e-05 0.00024224806 0.005314317 4.920664e-05 0.00015519017 0.00016654555 0.000480711 0.00013247941 0.00057533913 0.0003330911 2.2710756e-05 4.1636387e-05 0.00017790092 3.0281008e-05 4.542151e-05 5.2991763e-05 1.1355378e-05 0.00016276042 0.0043680356 0.00013247941 3.0281008e-05 3.0281008e-05 0.0005601986 0.00025738857 0.0013172239 0.00064725656 4.1636387e-05 0.00014761991 3.0281008e-05 3.785126e-05 1.892563e-05 3.0281008e-05 3.4066135e-05 6.813227e-05 0.0075929626 0.0003368762 0.001559472 0.0006283309 0.0013134388 0.0009462815 0.006862433 0.0035012416 0.00014761991 6.434714e-05 8.7057895e-05 2.2710756e-05 9.841328e-05 3.785126e-05 3.785126e-05 1.892563e-05 0.0042242007 0.00048828125 0.0004920664 0.00012869429 0.00014004965 0.00011355378 0.00031416546 0.00023089268 0.00034823158 0.00018168605 0.00018168605 0.00018168605 0.00018168605 0.00018168605 0.00018168605 0.00018168605 0.010113857 0.00038608286 0.00064725656 0.00024224806 0.0014572735 0.00088193436 0.002346778 0.0014497032 0.0008024467 0.00027631418 0.000779736 0.00031416546 0.0005374879 0.00035958696 0.0002800993 0.0023808442 0.0023051417 6.434714e-05 0.000601835 0.00025738857 0.0003065952 0.0002914547 0.0016881662 0.00090464513 0.00021953731 3.785126e-05 0.00032930597 9.841328e-05 0.0003179506 6.0562015e-05 0.00012490916 0.00014383478 0.017112555 0.0023657037 0.0022142986 0.002286216 0.0050039366 0.0032324975 0.0022332242 0.0030508116 0.007816285 0.0010976866 0.0010749758 0.0010711907 0.0036185805 0.0016048934 0.002672299 0.00556035 0.050652556 0.010552932 0.008811773 0.014232074 0.016768107 0.017634902 0.012172965 0.016366884 0.029474776 0.004561077 0.004992581 0.0046746307 0.01804748 0.008338632 0.015783975 0.030500544 0.03802916 0.035727803 0.035504483 0.035920847 0.03503891 0.036121458 0.03671951 0.036435623 0.035572615 0.035035126 0.03590192 0.035353076 0.035538547 0.03568617 0.036038183 0.035019986 725.0 11.52 8352.0 0.046934865 0.0039511495 0.0034722222 0.0028735632 0.0044300766 0.0027538314 0.0034722222 0.002993295 0.004190613 0.004310345 0.0026340997 0.004310345 0.005866858 0.007782567 0.012931035 0.010296935 0.027658045 0.0141283525 0.008261494 0.008740421 0.0037116858 0.0049090036 0.0062260535 0.0052681994 0.004789272 0.0057471264 0.0051484676 0.0039511495 0.0039511495 0.0031130267 0.002993295 0.0032327587 0.0038314175 0.010177203 0.0039511495 0.013170498 0.0062260535 0.0061063217 0.006704981 0.007902299 0.00598659 0.007902299 0.0034722222 0.004310345 0.005507663 0.0074233715 0.0051484676 0.0044300766 0.012811303 0.0045498083 0.007662835 0.019875478 0.008500958 0.0044300766 0.015924329 0.013529694 0.0033524905 0.004190613 0.0049090036 0.0045498083 0.0028735632 0.0032327587 0.002993295 0.0033524905 0.0040708813 0.032327585 0.0057471264 0.024904214 0.015565134 0.054118775 0.009578544 0.016522989 0.011613985 0.046216477 0.0031130267 0.0051484676 0.021791188 0.015565134 0.037835248 0.038074713 0.017361112 0.002993295 0.039391764 0.027658045 0.04729406 0.016283525 0.008740421 0.00862069 0.0056273947 0.009578544 0.0039511495 0.002993295 0.0031130267 0.0039511495 0.0028735632 0.0033524905 5.977498 0.0 21.0 0.0 5.0 133480.0 143360.0 0.0 0.0 95.0 0.0 1.0 1.0 0.0 0.0 1349200500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 32256.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 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 -32256.0 0.0 78848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.522303 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2258456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5934224 0.0 7.9859724 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32164.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 43100.0 1016.0 61440.0 0.0 0.0 8552.0 47104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 42104.0 0.0 0.0 392.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.03320133 0.004625208 0.004233865 0.0038164924 0.00446903 0.0037509694 0.0035777371 0.0039430507 0.004950131 0.003578635 0.0034063002 0.0034924676 0.004225787 0.003502341 0.0034951603 0.005053352 0.003942153 0.003290513 0.0033605238 0.0033273136 0.0034664378 0.0036639045 0.0033111572 0.0035068288 0.0035920984 0.0035355513 0.0032734592 0.0033111572 0.003753662 0.0034054026 0.003538244 0.0036486457 0.0041611614 0.0031971652 0.0031280518 0.003663007 0.0042446363 0.0035247803 0.0032896155 0.0035660688 0.0034691305 0.0035050337 0.0033111572 0.0037087833 0.0034036075 0.0038676541 0.0034951603 0.0035499125 0.003290513 0.003440408 0.0036800609 0.004370297 0.0032716638 0.003364114 0.0034457936 0.003489775 0.0035876106 0.0037850772 0.0033488553 0.0041333367 0.0036208208 0.003792258 0.0037258372 0.0038748349 0.0036656996 0.004505831 0.0047840793 0.0034269446 0.0034529741 0.0047221463 0.0039376654 0.0036728804 0.003644158 0.0038263658 0.003538244 0.003575942 0.0034395105 0.003978056 0.0035364488 0.0036127428 0.004124361 0.0035454244 0.0035454244 0.003963695 0.00343233 0.0038308536 0.0040705064 0.0041593662 0.0034960578 0.0041117948 0.0034484863 0.0035876106 0.0035526052 0.004004983 0.004081277 0.0039008646 0.0031244615 0.0037832821 0.0034484863 0.0038048238 0.0038694495 0.004346062 0.004200655 0.0036387723 0.0037060906 0.0037563548 0.0041064094 0.003549015 0.0038146973 0.0037393009 0.003838932 0.004046272 0.0037060906 0.003586713 0.0042123236 0.0041692397 0.0053271125 0.0053639133 0.0036980123 0.0039152256 0.0036405677 0.003811107 0.0036136403 0.0036495433 0.003768921 0.003857781 0.0038272634 0.0039367676 0.0034107883 0.003337187 0.0032743567 0.0056780647 0.003628899 0.005163754 0.0031451057 0.0033955295 0.0033443675 0.005243638 0.0033165426 0.008622114 0.0035669664 0.0048505 0.0035768396 0.0035633761 0.0036136403 0.0034538717 0.0037832821 0.0034754137 0.0036468506 0.0035445269 0.0036414652 0.003444896 0.003248327 0.003616333 0.003296796 0.0034395105 0.0034933651 0.0035669664 0.0035938937 0.003722247 0.003267176 0.0032896155 0.0031451057 0.0034422034 0.0035606832 0.0034772088 0.0032950009 0.0034502815 0.0033210306 0.0033659094 0.0031603645 0.0034332275 0.0034269446 0.0033829634 0.0035122142 0.0036118452 0.0034170712 0.003365012 0.003303079 0.003489775 0.0033955295 0.0035122142 0.0035642737 0.0036621094 0.00369891 0.0036118452 0.003288718 0.0034861844 0.00358043 0.0036306942 0.003751867 0.003868552 0.0043792725 0.003882913 0.0038120046 0.0043604234 0.0037841797 0.0034036075 0.0038326487 0.0040902533 0.0038730397 0.0040534525 0.0036244113 0.0035597857 0.0037213494 0.0034368178 0.0037231445 0.0040346035 0.0034628476 0.0034143785 0.0035615808 0.003527473 0.0033632165 0.0033982222 0.0033910414 0.003686344 0.0038613712 0.0037258372 0.0034251492 0.0036468506 0.003645953 0.0037473792 0.0037796919 0.0039565144 0.0039053524 0.0035149069 0.0035050337 0.0036450555 0.0039924174 0.0038129021 0.0036136403 0.0038308536 0.005643059 0.0038909912 0.0034000173 0.0044358196 0.0042993883 0.0034888773 0.0035687615 0.003921509 0.0039726705 0.003705193 0.003724042 0.003836239 0.003673778 0.003686344 0.00405435 0.0041099996 0.0044358196 0.0041333367 0.0035238827 0.004079482 0.004626106 0.0039143283 0.0043433695 0.012491562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003947127 6.648171e-05 6.154051e-05 3.952967e-05 7.7262535e-05 0.00012353022 5.79469e-05 4.0877272e-05 4.8962884e-05 1.4374425e-05 2.0214035e-05 1.5272826e-05 2.1561638e-05 1.9315634e-05 2.1112437e-05 2.4706043e-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 0.0005421853 0.0 7.411813e-05 0.0 0.0 0.0 0.00018956274 0.000113647795 4.4920077e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029404683 4.0877272e-05 0.00016350909 3.2791657e-05 0.00035352103 0.00012667463 0.00043841996 0.00024077162 1.751883e-05 3.0096453e-05 1.6171229e-05 8.984016e-06 2.829965e-05 2.2460039e-05 1.0780819e-05 0.00012847142 0.0053167404 0.00013610783 0.000344537 8.894176e-05 0.0006508919 0.00032791658 0.001065055 0.0005821642 8.040694e-05 6.1091305e-05 4.6716883e-05 2.6502847e-05 6.0642105e-05 5.3904092e-05 4.581848e-05 0.00031219455 0.0046874103 0.00027491088 0.00035352103 0.00013026822 0.0007510637 0.00031084695 0.0011863393 0.0006967104 0.00013476024 7.591493e-05 8.085614e-05 9.478137e-05 9.927337e-05 9.523056e-05 0.00014329505 8.444975e-05 0.0028227777 6.9176924e-05 0.00026457926 0.00016126309 0.000335553 0.00022504959 0.0010452903 0.00077082857 7.411813e-05 5.165809e-05 6.1091305e-05 4.6716883e-05 8.355134e-05 0.00013655704 5.5700897e-05 0.0002358304 0.002020056 0.000111851 0.00019764835 0.00013296343 0.00030545655 0.00014599026 0.00047435603 0.00027940288 0.00014284585 7.7262535e-05 8.444975e-05 9.927337e-05 0.00012936983 0.00014868546 0.00010601139 0.00014419346 0.0010075574 7.8160934e-05 0.00010151938 0.00025469685 0.00013700624 0.00014059985 0.00010646058 0.0001711455 0.0006899724 0.00011230019 0.000110503395 0.00013520944 0.00023987322 0.000118139804 0.00018327392 0.001013397 0.0098357005 0.0015268335 0.001268543 0.0015829835 0.0029602333 0.0027127236 0.0013017838 0.0023551597 0.006673776 0.00044560718 0.0005332013 0.0008835779 0.0028021145 0.0010906595 0.0024755455 0.005709791 0.010822145 0.0020771045 0.0014010572 0.002239715 0.003637628 0.0043617394 0.0018659801 0.0032944386 0.008141764 0.00065583317 0.0006998548 0.0008552783 0.004069759 0.0018974241 0.0037377996 0.007280197 0.049125943 0.051561512 0.052864645 0.053572584 0.052121215 0.05239523 0.053051062 0.055556253 0.051144205 0.05507651 0.05250843 0.054482214 0.054047838 0.05401235 0.055714823 0.057411004 4855.0 6.422863 31183.0 0.01568162 0.008081326 0.007343745 0.008466152 0.010710964 0.008337877 0.008273738 0.010229933 0.008850977 0.00875477 0.008337877 0.00747202 0.008017189 0.008402014 0.011544752 0.00926787 0.0071513327 0.008305808 0.009620626 0.008369945 0.0076965014 0.009043389 0.0079530515 0.007920982 0.0076323636 0.010550621 0.008690633 0.008818908 0.0077927075 0.009652696 0.008562358 0.009235801 0.009428214 0.010614758 0.008369945 0.010999583 0.00901132 0.008786839 0.010165796 0.00978097 0.009396145 0.011576821 0.008979252 0.008594426 0.00952442 0.009556489 0.009364077 0.009556489 0.012955777 0.0079530515 0.011224064 0.011031652 0.011191996 0.00901132 0.010903377 0.010999583 0.009107526 0.0086264955 0.009043389 0.008369945 0.008818908 0.008177533 0.009652696 0.0108071705 0.007600295 0.016932303 0.010229933 0.014334734 0.0146554215 0.027354648 0.0108071705 0.011031652 0.011031652 0.016547477 0.010614758 0.009556489 0.017605746 0.011897508 0.016579546 0.01831126 0.010037521 0.00901132 0.019978834 0.013757496 0.021806754 0.011544752 0.009684764 0.009043389 0.009235801 0.010743033 0.008081326 0.008850977 0.008850977 0.009107526 0.008979252 0.009845108 6.5256615 1.0 0.0 0.0 20.0 1114112.0 138350600.0 1.0 0.0 134.0 0.0 1.0 0.0 1.0 0.0 1497915000.0 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 0.0 0.0 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 10.0 6.0 0.0 6.0 0.0 114176.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 44032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114176.0 0.0 138166270.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.985189 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.005486 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6654377 0.0 7.997366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -6212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 43522.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -113870.0 0.0 138166140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 159064.0 138166140.0 176128.0 0.0 0.0 9656.0 138335740.0 6212.0 138342400.0 112.0 152928.0 0.0 0.0 0.0 0.0 24.0 153144.0 64.0 153040.0 0.0 0.0 572.0 118784.0 0.0 0.0 0.0 0.0


Input: 0.1623052 0.019088542 0.008666666 0.0070520835 0.006867708 0.012591667 0.0051916665 0.0061125 0.010034375 0.0038239583 0.00361875 0.002715625 0.005171875 0.0071489583 0.0013864583 0.00976875 0.007082292 0.0011052083 0.0011416667 0.0008885417 0.001665625 0.009734375 0.00095 0.0010364583 0.004409375 0.0013854167 0.00081041665 0.0009854167 0.0010229166 0.0007854167 0.0007927083 0.000890625 0.009323958 0.0021375 0.00091354165 0.0010333334 0.01978854 0.0009916667 0.000646875 0.000725 0.0034489583 0.00066041667 0.00053645833 0.00097083335 0.001034375 0.0011 0.000884375 0.0005489583 0.0068052085 0.0007864583 0.0012208333 0.0052583334 0.0019614582 0.000659375 0.0006197917 0.00069583335 0.0039322916 0.0019572917 0.00062708335 0.0034739582 0.0010760417 0.00105 0.0005833333 0.00053854164 0.009178125 0.008294792 0.0012072916 0.002421875 0.00931875 0.0066010416 0.0012458334 0.0015083334 0.0706 0.007632292 0.00071041664 0.0015010417 0.013358333 0.005984375 0.0012135417 0.0013020834 0.0047791665 0.0008552083 0.0021104168 0.0019104166 0.002859375 0.0023177082 0.00164375 0.0033625 0.0025864583 0.0005833333 0.00053333334 0.00150625 0.0049333335 0.0016770833 0.001828125 0.002684375 0.0034614583 0.0032458333 0.00083645835 0.002446875 0.0035864583 0.006440625 0.0014770833 0.001696875 0.0025041667 0.00349375 0.0005770833 0.0009916667 0.0033197918 0.001728125 0.003159375 0.0032270832 0.0049791667 0.0005135417 0.0037385416 0.00295625 0.010541666 0.0051125 0.0013291667 0.0012302083 0.0033166667 0.0017041666 0.00062395836 0.00086458336 0.001709375 0.001146875 0.000728125 0.00096770836 0.010185417 0.0015958333 0.00063020835 0.011613541 0.0033166667 0.010636458 0.00076875 0.000821875 0.002778125 0.016028125 0.000915625 0.045471877 0.0008510417 0.017384375 0.0005833333 0.00065625 0.0035666667 0.00047083333 0.00060208334 0.00050625 0.0006802083 0.000503125 0.0004885417 0.00050625 0.0012052084 0.00053333334 0.00041145834 0.00045729167 0.0008875 0.00044166666 0.00045104168 0.0006145833 0.002178125 0.00078229164 0.00076666666 0.00083854166 0.00091145834 0.0007927083 0.000740625 0.0008489583 0.001378125 0.00073541666 0.000728125 0.00077291665 0.00091666664 0.0006802083 0.00073958334 0.00073958334 0.00191875 0.0005104167 0.00048229165 0.000478125 0.0006510417 0.000496875 0.000775 0.0009864584 0.0022020834 0.001253125 0.0024229167 0.001065625 0.00080208335 0.00053854164 0.000828125 0.00096875 0.008521875 0.0027260417 0.0019552084 0.0047916668 0.003972917 0.00067604164 0.0015604167 0.003825 0.0034270834 0.0030302084 0.0010697916 0.0021739583 0.036940627 0.00075625 0.0019822917 0.00196875 0.0024770834 0.00081354164 0.001821875 0.00079791667 0.00069375 0.00056145835 0.00090520835 0.001028125 0.0030208332 0.0011770834 0.00080208335 0.0017104166 0.0007572917 0.00052604167 0.00059166667 0.0006854167 0.0039010416 0.00060208334 0.0005625 0.0007197917 0.00067395833 0.00045104168 0.00046354166 0.00061041664 0.012338541 0.005594792 0.00070416665 0.0030104166 0.003415625 0.00056354166 0.00042916666 0.000575 0.00338125 0.000890625 0.00100625 0.00057604164 0.00070833333 0.00050729164 0.0017260417 0.0020239584 0.0030770833 0.002284375 0.001865625 0.0023114583 0.0028739583 0.0029770834 0.0023052082 0.027502084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009340988 0.0003030891 0.00021284055 0.00014606705 0.00024987897 0.00014398037 5.8426816e-05 0.00012937367 0.0002477923 9.442191e-05 0.00010224693 0.00032030416 0.00018049713 4.695012e-05 5.8948484e-05 0.00011633196 0.014333872 0.00057644316 0.000524798 0.0001794538 0.00043820112 0.0004418528 0.00062078494 0.0004251594 0.00083832047 7.355519e-05 0.00010746361 0.0001664121 0.00022588225 4.6428453e-05 9.859525e-05 0.00013354702 0.012083396 0.00017893212 0.0001648471 0.00015441373 0.0010459444 0.00081588875 0.0056799212 0.0030272393 0.0011022845 0.00021440555 0.00016693377 0.00012415698 0.00017371544 9.024856e-05 0.00052427634 9.442191e-05 0.026503343 0.00041629106 0.0008513622 0.0007303352 0.0021367522 0.002350636 0.011479826 0.0059371036 0.0034967407 0.0003489959 0.00030517578 0.00036412425 0.0002900474 0.000260834 0.0007835453 0.00036881928 0.022680039 0.0024946164 0.0018399231 0.001711071 0.0013521635 0.0016865527 0.0055505475 0.0032322549 0.0006531283 0.00042150775 0.00027439737 0.0003589076 0.00052949303 0.0005409697 0.00069225347 0.00085397053 0.0345652 0.004263071 0.0028196156 0.0024815747 0.0015582223 0.0023975861 0.004331931 0.0032990284 0.0010782877 0.0010344676 0.0012598282 0.0011716663 0.0015681341 0.0013850286 0.0015676124 0.0014580621 0.016713722 0.0011148045 0.0014053736 0.0013187767 0.001968775 0.0012874766 0.0018101879 0.0018112313 0.001819578 0.0012473082 0.0059386687 0.0012238332 0.0047633504 0.0011523647 0.0019479083 0.0014851888 0.004358536 0.00051279966 0.00088787894 0.0004496778 0.0033433703 0.0005164513 0.00047263122 0.00061661156 0.0029902009 0.00019040883 0.00024466228 0.00022588225 0.0026057316 0.00029578575 0.00058896316 0.0009311774 0.1251205 0.023452628 0.034426436 0.023039468 0.12470578 0.025388539 0.011490259 0.02208951 0.10746204 0.007933527 0.0053721373 0.011611808 0.06694357 0.01377986 0.026537772 0.04692821 0.005438389 0.0014001569 0.0016474276 0.001055856 0.005472819 0.0011711447 0.00072355353 0.0009275257 0.004722139 0.0007611136 0.0004595895 0.00081588875 0.0021894407 0.00077154697 0.0018487914 0.0037142762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4021.0 11.489679 46200.0 0.013116883 0.0016017316 0.00023809524 0.00012987012 0.02082251 0.00069264066 0.00045454546 0.00017316017 0.0018181818 0.00032467532 6.493506e-05 0.0009090909 0.00075757573 0.011147186 0.0046536797 0.0003030303 0.006731602 0.0034199134 0.0012554113 0.005757576 0.0011688311 0.00036796537 0.0003030303 0.0004978355 0.0032900432 0.0076190475 0.00023809524 0.003008658 0.000995671 0.00043290044 0.0002813853 0.0001948052 0.006233766 0.05939394 0.0017532468 0.011926407 0.01021645 0.008095238 0.004155844 0.0022077921 0.027402597 0.008787879 0.00010822511 0.0012121212 0.0074458877 0.0043939394 0.0052380953 0.0011688311 0.0089826835 0.0008874459 0.006038961 0.01012987 0.010670995 0.01439394 0.019675326 0.021017317 0.0017099567 0.00025974025 0.0003896104 0.0025324675 0.012099567 0.009480519 0.01573593 0.017294372 0.000974026 0.04270563 0.004199134 0.025779221 0.023766235 0.07867965 0.009480519 0.016558442 0.008008658 0.044199135 0.00034632033 0.0054329005 0.031753246 0.016818183 0.037987012 0.037229437 0.019978356 0.0005194805 0.0408658 0.02961039 0.062012985 0.020670995 0.005822511 0.0055844155 0.012748918 0.0075324676 0.0009090909 0.0007142857 0.0023593074 0.0003030303 0.00047619047 0.0021645022 5.4966736 0.0 0.0 0.0 4.0 960000.0 983040.0 1.0 3.0 364.0 1.0 1.0 0.0 0.0 0.0 1540437100.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 707072.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 192000.0 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 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -707072.0 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 -5.439748 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.124975 0.0 0.0 0.0 0.0 6.000275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.363263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3279767 0.0 0.6212699 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 191902.0 0.0 0.0 0.0 0.0 45456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -706588.0 0.0 784.0 0.0 0.0 0.0 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 -1.0 -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 0.0 0.0 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 2.0 0.0 0.0 1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 1.0 -1.0 -2.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 -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 1.0 1.0 1.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 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 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 152.0 889488.0 1320.0 889640.0 1352.0 966656.0 45456.0 913408.0 0.0 0.0 9840.0 970752.0 56.0 787168.0 0.0 0.0 0.0 0.0 0.0 0.0 208.0 737520.0 0.0 0.0 3448.0 759424.0 576.0 886312.0 0.0 0.0


Input: 0.14257431 0.00863868 0.0041899215 0.0034270994 0.0062469277 0.0039522396 0.0020308737 0.0019624312 0.007890791 0.0015119556 0.0017035945 0.0015069781 0.004578177 0.0013738264 0.0012319639 0.0038937523 0.0061697746 0.0015069781 0.0011884096 0.0008972181 0.002473883 0.0019848307 0.0007690441 0.0008275313 0.0023108656 0.00075660006 0.0008325089 0.00071304577 0.0016202191 0.0006060267 0.0005960714 0.00056745 0.0038962413 0.00058860495 0.0006545586 0.00054505066 0.0041712555 0.0013228056 0.00046665297 0.0005637168 0.0011884096 0.00065580296 0.00058611616 0.00094699446 0.0011100118 0.002351931 0.00067944673 0.0005201625 0.005823829 0.002699121 0.0034320771 0.010117036 0.0035278965 0.0018778116 0.002949247 0.0015779092 0.004054281 0.0019574538 0.0007180234 0.0014895563 0.001674973 0.0009805935 0.0004678974 0.0005313622 0.011833075 0.0039485064 0.004926611 0.008872628 0.003888775 0.03272793 0.003285237 0.0027227646 0.003400967 0.0035664733 0.0022001131 0.002366864 0.002724009 0.0044101817 0.0011660103 0.0015393327 0.009106577 0.0021553147 0.0020669615 0.009807179 0.0032217721 0.013909992 0.003239194 0.0021067827 0.0019362988 0.0065480745 0.0027563635 0.003276526 0.001574176 0.004661552 0.0023905076 0.0036237158 0.005795208 0.0044251145 0.0017060833 0.00328897 0.00924844 0.0061697746 0.0039248625 0.001567954 0.007824837 0.004285741 0.0036722478 0.0013900037 0.0034818535 0.0017496375 0.004418893 0.0040741917 0.0031247083 0.0017073277 0.0049029673 0.0038701086 0.010199168 0.0055923695 0.0017322159 0.0011249448 0.0028235617 0.0012705405 0.000533851 0.0005935826 0.001662529 0.0025323702 0.0010689464 0.0008797964 0.005273801 0.0011647658 0.001095079 0.009115288 0.0031396411 0.0032454159 0.001040325 0.000622204 0.002677966 0.015276352 0.0022461563 0.05202621 0.0012033425 0.011064031 0.0008623747 0.00068442436 0.0026717437 0.00044674246 0.00073171186 0.00064958096 0.0011299225 0.00094201684 0.0015206665 0.0005711832 0.0011809431 0.00059233815 0.0005027408 0.000716779 0.00096192735 0.00047909707 0.0004678974 0.0004218543 0.00090219575 0.0033487019 0.00046914179 0.0025659692 0.0014323136 0.00082255364 0.00056745 0.0004554533 0.0010527691 0.00046043095 0.00051269605 0.00049029675 0.0008524194 0.00045296448 0.00074664474 0.000662025 0.0013327609 0.000689402 0.0017409268 0.00054007303 0.00088352966 0.0006744691 0.000716779 0.001589109 0.003169507 0.002549792 0.004678974 0.0008287757 0.0010067261 0.00048283028 0.00085864146 0.0007192678 0.012069513 0.001156055 0.0023009102 0.010411961 0.004384049 0.0010652132 0.0035789174 0.003388523 0.0018815448 0.0017757701 0.0009893043 0.0013103615 0.0016923948 0.00089846255 0.0009980152 0.0009482388 0.002892004 0.0011572994 0.0029928011 0.0013613823 0.001824302 0.0007727773 0.0016139972 0.0008810408 0.003388523 0.0006582918 0.0010925902 0.0017981695 0.0015057336 0.000723001 0.0005662056 0.0008474418 0.0024539724 0.000662025 0.00088352966 0.0009967708 0.0024477504 0.002446506 0.00055376155 0.0006981129 0.027777674 0.0060627554 0.0011000566 0.005935826 0.0065729627 0.0010490359 0.00068442436 0.00075908884 0.0072872527 0.0009830822 0.0018280352 0.0009245951 0.009193686 0.0021839358 0.004121479 0.0026095235 0.010129481 0.0030724432 0.0030923537 0.0036349157 0.014980183 0.004020682 0.0043280507 0.069357075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002654055 0.0 0.0 0.0007601722 0.0004171905 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010440988 0.0 0.0 0.004418852 0.0030201098 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00062734477 0.0 0.0 0.00037353826 0.00027625618 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005543832 3.7416187e-06 1.808449e-05 6.734914e-05 0.00014966475 7.607958e-05 6.2360314e-06 7.4832374e-06 1.5590078e-05 0.0 0.0 1.8708093e-06 8.106841e-06 3.1180157e-06 4.988825e-06 0.00036044262 0.0061306423 0.00020703624 0.00021451947 0.0005537596 0.0019213213 0.0004907757 0.002460738 0.0010707265 0.00019581139 0.00010102371 9.291687e-05 7.545598e-05 0.0006753622 0.0003822687 0.00040284763 0.0029047434 0.013396866 0.0006448056 0.0009509948 0.0020928122 0.0041519497 0.0036287466 0.007004934 0.003227146 0.0004564775 0.0002369692 0.00031242517 0.00033238047 0.0020940593 0.0011106372 0.0011280981 0.009039127 0.02088634 0.0013101902 0.0012403466 0.0020896941 0.0073572695 0.0025754808 0.0067286775 0.00327454 0.0024052372 0.0009803041 0.0009821749 0.0013432412 0.004080859 0.0026646561 0.0026889767 0.009634668 0.020338193 0.0015708563 0.0012584311 0.0022805165 0.009481262 0.0040671397 0.005919241 0.0034273227 0.005845032 0.0014218151 0.0017891173 0.0023185564 0.0038850475 0.0017828813 0.0040683867 0.009728832 0.0744763 0.009878498 0.00732609 0.010144152 0.04232519 0.03079477 0.021437604 0.0140398005 0.051796477 0.0053243237 0.0060932264 0.009200017 0.016892785 0.007117806 0.027613146 0.06145297 0.06063605 0.010193417 0.009175696 0.011744942 0.028296616 0.030798512 0.017782044 0.014702068 0.050133325 0.005922359 0.0065235123 0.009208124 0.021231815 0.011006596 0.02524096 0.04883436 0.00023509839 4.8017442e-05 8.668083e-05 5.2382664e-05 9.104606e-05 9.97765e-05 4.365222e-05 6.610193e-05 0.00013532188 2.9309347e-05 3.367457e-05 2.9309347e-05 8.4810024e-05 6.0489503e-05 7.358517e-05 0.000107883345 5347.0 15.620535 83523.0 0.005603247 0.00013170025 0.000574692 9.5782e-05 0.003448152 0.00058666477 0.00013170025 0.00017959125 0.0004070735 0.00041904626 0.0007542833 0.0005986375 0.00051482825 0.014666619 0.0011613568 0.00047891 0.026771069 0.017085114 0.02812399 0.012008668 0.02333489 0.013864445 0.024376519 0.0108473115 0.026890796 0.0141039 0.00085006526 0.000526801 0.0009817654 0.0005507465 0.0001197275 0.000143673 0.0014008117 0.008776026 0.007614669 0.014930019 0.007339296 0.016594231 0.0048609367 0.003160806 0.0050644735 0.018102799 0.0025262502 0.0041066534 0.0070160315 0.0068603856 0.004561618 0.009482418 0.013277779 0.0026938687 0.0061539933 0.021060068 0.013445398 0.0064413394 0.006070184 0.003591825 0.0028614872 0.005507465 0.0015684302 0.0030769967 0.001197275 0.00287346 0.0029931874 0.022832034 0.0002634005 0.031284794 0.0126312515 0.027501406 0.025897058 0.054092884 0.011158603 0.010368401 0.018306335 0.03565485 0.0070160315 0.0068124947 0.023969445 0.011984723 0.03824096 0.034936484 0.018426063 0.0026220323 0.03918681 0.029009974 0.041605305 0.011206494 0.010093029 0.0059145386 0.013732744 0.0068723587 0.0010775476 0.00029931875 0.00056271924 0.0002634005 0.00031129151 0.00032326425 5.768581 0.0 2.0 14.0 4.0 803595.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.57757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0