Input: 0.0735481 0.008294898 0.0077301394 0.0036121046 0.005294616 0.0035415099 0.0062358812 0.0037415286 0.003459149 0.0031179406 0.008271366 0.005412274 0.0025178841 0.0036474022 0.0030708772 0.0032591303 0.003153238 0.0042827562 0.005235787 0.0036709337 0.0057770144 0.00340032 0.0046121986 0.003600339 0.0025178841 0.002835561 0.0028708584 0.0037650603 0.0027884978 0.0031179406 0.002776732 0.0033179594 0.0048828125 0.0031179406 0.0037650603 0.002635542 0.0038003577 0.0035179781 0.0031650038 0.0035062123 0.006188818 0.0031885353 0.0036356363 0.00404744 0.0042827562 0.0038827183 0.0060123308 0.0030473457 0.0031061748 0.0037179969 0.0030355798 0.0033061935 0.0028237952 0.003153238 0.0033650226 0.0033650226 0.0031650038 0.0026708397 0.002635542 0.0031179406 0.0029296875 0.0033650226 0.0033767885 0.002776732 0.002635542 0.0033297252 0.005718185 0.0035179781 0.0039533135 0.00404744 0.0033414909 0.0028002635 0.0032826618 0.004518072 0.0031650038 0.003459149 0.0028826243 0.0037532945 0.0032826618 0.003094409 0.006188818 0.0033297252 0.0037179969 0.004494541 0.0031297063 0.0023649284 0.0033061935 0.003012048 0.0037532945 0.0035179781 0.0032591303 0.0034356175 0.0043180534 0.003223833 0.0024472892 0.004671028 0.0026002447 0.007224209 0.005435806 0.0053887423 0.0038591868 0.011930535 0.0038944841 0.0053181476 0.0032944276 0.009071442 0.0034944466 0.0036121046 0.0057770144 0.005800546 0.008353728 0.010283321 0.0045533697 0.004365117 0.008471386 0.0085655125 0.010436276 0.005435806 0.004200395 0.0034826808 0.0030591115 0.004094503 0.0031179406 0.0036121046 0.003023814 0.0034826808 0.0030708772 0.0029649849 0.003023814 0.0028002635 0.0024355233 0.00238846 0.0025061183 0.0053416793 0.0027884978 0.002647308 0.003141472 0.00390625 0.0034120858 0.004223927 0.0026826055 0.004165098 0.0033414909 0.0027884978 0.0026002447 0.002764966 0.0032473644 0.0031767695 0.002647308 0.003094409 0.0034944466 0.0027532002 0.0025767132 0.0028002635 0.0030355798 0.0031885353 0.0027296687 0.0028590926 0.0033650226 0.0028237952 0.0018942959 0.0050004707 0.004659262 0.0034238517 0.0029767507 0.003212067 0.0027414344 0.002259036 0.002400226 0.0028120293 0.0019648909 0.003153238 0.0038121236 0.0033179594 0.0033414909 0.0028943901 0.0038121236 0.0038944841 0.002776732 0.0033297252 0.0038827183 0.0035062123 0.0034120858 0.0031650038 0.004223927 0.0035179781 0.0028708584 0.0039768447 0.0029649849 0.002835561 0.0028002635 0.0026708397 0.0020707832 0.0029061558 0.003082643 0.0032708962 0.0042474587 0.0037179969 0.0029649849 0.003459149 0.002329631 0.0027884978 0.0025649474 0.0034238517 0.0031650038 0.0033297252 0.0029767507 0.0033532567 0.002329631 0.003223833 0.0033885543 0.002764966 0.002717903 0.0027296687 0.0032591303 0.003082643 0.0035415099 0.0028002635 0.0035179781 0.0033532567 0.003094409 0.0034238517 0.0030355798 0.0034944466 0.002082549 0.0026943712 0.0043180534 0.0032944276 0.0022237387 0.0032473644 0.0032355986 0.0029885166 0.0023531627 0.0032473644 0.0023060993 0.0034473832 0.0035062123 0.0032944276 0.0035415099 0.003082643 0.00202372 0.0034120858 0.0028590926 0.0026826055 0.0028708584 0.002847327 0.0033061935 0.0036709337 0.0025414156 0.0030473457 0.002647308 0.0033179594 0.0033650226 0.0029061558 0.0031061748 0.0035768072 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026236186 0.0008872428 0.0021436738 0.0010718369 0.003953887 0.00322742 0.02181188 0.012850134 0.00022627668 9.527439e-05 7.741044e-05 0.00012504763 8.931974e-05 0.00013695694 0.00010122904 0.00013695694 0.030999904 0.0035608804 0.003429878 0.0009825171 0.00064310216 0.0009765625 0.0023580412 0.0018518959 0.0010003811 0.0004227801 0.0006133289 0.00026200459 0.00027391387 0.00032155108 0.0005061452 0.00057760096 0.014809213 0.0010599276 0.0011254287 0.000339415 0.00064310216 0.00027986852 0.00045255336 0.0005716463 0.0011552019 0.00047637196 0.0010480183 0.00064310216 0.0005716463 0.00032155108 0.00054782775 0.00034536966 0.016083509 0.0020483993 0.0023818598 0.00097060786 0.002054354 0.0021198553 0.012826315 0.0077410443 0.0008098323 0.00022627668 0.00038705222 0.00038109755 0.00019054877 0.00010718369 0.00019054877 0.00026200459 0.006317883 0.0010122904 0.0016553926 0.0010956555 0.0009289253 0.0012981136 0.006389339 0.00390625 0.0003989615 0.00020245808 0.00015482088 0.00019054877 0.00019650343 0.00010122904 0.00014886624 0.00039300686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048768576 0.00034536966 0.00036918826 0.0005120998 0.00053591846 0.00055973703 0.0009884718 0.0006014196 0.00036918826 0.00040491615 0.00039300686 0.00046446265 0.0004108708 0.0004704173 0.0004942359 0.0003989615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.039390005 0.049286634 0.051352896 0.045136243 0.048530392 0.050340608 0.05029892 0.04845298 0.048190977 0.045898438 0.04777415 0.052198455 0.048482757 0.048869807 0.047452603 0.046636812 652.0 13.081288 8529.0 0.013131669 0.0022276938 0.0048071286 0.0023449408 0.002696682 0.0014069645 0.0018759526 0.0019931996 0.0017587056 0.0019931996 0.0014069645 0.0019931996 0.0064485874 0.0036346582 0.025090866 0.0025794348 0.0065658344 0.0072693164 0.002931176 0.003986399 0.0037519052 0.0032829172 0.0025794348 0.003048423 0.002813929 0.0018759526 0.002931176 0.0024621878 0.0025794348 0.0049243756 0.0038691524 0.0021104468 0.0018759526 0.010434986 0.0068003284 0.010083245 0.009614257 0.005393364 0.005393364 0.00316567 0.0037519052 0.0068003284 0.0037519052 0.0045726346 0.0045726346 0.009262516 0.002813929 0.0038691524 0.013600657 0.0021104468 0.007621058 0.01817329 0.0064485874 0.002696682 0.005276117 0.0038691524 0.0025794348 0.002931176 0.0014069645 0.002696682 0.0046898816 0.0022276938 0.0012897174 0.016531833 0.0017587056 0.03634658 0.01664908 0.02415289 0.015242116 0.086528316 0.0071520694 0.022276938 0.005393364 0.051705945 0.005510611 0.0048071286 0.02813929 0.02298042 0.043850392 0.045726344 0.014421386 0.002813929 0.050533473 0.042912416 0.074920855 0.025090866 0.008090045 0.007738305 0.006096846 0.01465588 0.0036346582 0.0035174112 0.003048423 0.0021104468 0.0015242115 0.0019931996 5.625516 0.0 0.0 0.0 4.0 84992.0 114688.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1526255400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 80.0 0.0 4.0 0.0 6.0 0.0 82432.0 512.0 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 -82432.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7796793 0.0 4.2176967 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 -82372.0 0.0 1516.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 90476.0 1516.0 98304.0 0.0 0.0 0.0 0.0 12.0 106496.0 28.0 90164.0 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: 0.15641269 0.010132651 0.003525839 0.004128798 0.0039412924 0.0026030177 0.002897144 0.0022316833 0.0027868466 0.014309244 0.012904791 0.0026324303 0.0025699285 0.012720962 0.0019963821 0.002014765 0.0030147946 0.0024559547 0.0019853525 0.00208462 0.0035662814 0.0023971293 0.0017132857 0.002687579 0.0024449248 0.0017574047 0.0024265419 0.0018309362 0.0029486162 0.0016434307 0.0017831407 0.002496397 0.03094944 0.0028199358 0.008573782 0.0023272743 0.0025184564 0.0030589134 0.0021581517 0.0015662225 0.0023530105 0.0021324158 0.0047354335 0.0017500515 0.002974352 0.0074009527 0.004058943 0.014816612 0.005058972 0.003830995 0.0023346276 0.0019706462 0.0022831555 0.001963293 0.0018088768 0.0019522633 0.0023860997 0.001823583 0.0055001616 0.004606753 0.00586782 0.005323686 0.0057575223 0.0016397542 0.0032243596 0.0036104003 0.0027978765 0.002669196 0.0034081885 0.0031214154 0.0021618283 0.0025037501 0.0024338951 0.0036140769 0.0015441631 0.0018971147 0.0028089061 0.0023346276 0.0027133152 0.0023346276 0.0035552515 0.0016507838 0.0026434602 0.0031397983 0.0037721698 0.0036618724 0.0022206535 0.0015846054 0.0020735904 0.0016103415 0.0014265125 0.0017757876 0.001422836 0.0015404865 0.0012573899 0.0019154975 0.0022721256 0.013290832 0.0053530987 0.00850025 0.012408453 0.020662373 0.0036067236 0.0065148976 0.0061362097 0.016555633 0.0017610812 0.002853025 0.0097061675 0.005463396 0.011989323 0.011209888 0.00682373 0.0018088768 0.012404776 0.01087532 0.018835112 0.0046655782 0.0047869054 0.0041324743 0.0042648315 0.0031397983 0.0019154975 0.0030956792 0.0015147504 0.0029008207 0.0012463601 0.0019963821 0.0034964264 0.0021581517 0.002459631 0.0016471073 0.001963293 0.0018603489 0.0018787318 0.0017610812 0.0021875643 0.0020221183 0.0021360922 0.0018897614 0.0020037354 0.0018860849 0.0018824083 0.0013272449 0.0024669843 0.002191241 0.0014154828 0.0015221036 0.0018860849 0.0014338657 0.0015331333 0.0014118062 0.0016949028 0.0017243155 0.0014853379 0.0016507838 0.0015882821 0.0013566576 0.0015257802 0.0019338804 0.0023419806 0.0019449102 0.0019927057 0.001911821 0.0018603489 0.0016140181 0.0015956352 0.0016985794 0.0019779995 0.0016801965 0.0032243596 0.001378717 0.0019963821 0.0014853379 0.0015698991 0.00153681 0.0023603635 0.0019154975 0.0017868172 0.0016544604 0.0017169623 0.00153681 0.0016728434 0.0018640254 0.00195594 0.0018199065 0.0016691667 0.00431998 0.0015221036 0.0015478396 0.0013198918 0.0018493191 0.0025883114 0.0022758022 0.0020993263 0.0020184417 0.0020919733 0.0016801965 0.0027243448 0.0015882821 0.002103003 0.0018897614 0.003246419 0.0016544604 0.0019081443 0.0015809288 0.0040552663 0.001352981 0.0022905085 0.0018088768 0.0016801965 0.0016140181 0.001893438 0.0014632783 0.0014301891 0.0015037206 0.0018787318 0.0016287244 0.0014779846 0.001448572 0.0018493191 0.0016765199 0.001727992 0.0019044678 0.0027537574 0.0019228507 0.001937557 0.0018309362 0.0019963821 0.0014743081 0.0015846054 0.0016066649 0.0018052001 0.0017096091 0.0015735757 0.0017426984 0.0019228507 0.0015404865 0.0018015236 0.001683873 0.0027831702 0.0017868172 0.0016949028 0.0019007912 0.0016544604 0.0016765199 0.0013750404 0.001937557 0.0020405012 0.0022831555 0.001937557 0.0026214006 0.003952322 0.0022831555 0.0030074413 0.03187594 0.03787879 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007253936 1.8495502e-05 1.8495502e-05 1.8495502e-05 1.4796402e-05 5.9185608e-05 0.00010727391 4.0690105e-05 3.6991005e-06 0.0 1.10973015e-05 0.0 1.10973015e-05 7.398201e-06 3.6991005e-06 7.398201e-06 0.0105424365 0.00014981357 5.9185608e-05 4.2539654e-05 6.2884705e-05 3.8840553e-05 0.00011652166 4.9937855e-05 6.473425e-05 3.1442352e-05 2.9592804e-05 5.3636955e-05 2.7743254e-05 2.5893703e-05 4.0690105e-05 2.7743254e-05 0.0033587832 0.0001294685 2.2194603e-05 2.4044153e-05 2.4044153e-05 2.9592804e-05 2.7743254e-05 2.2194603e-05 3.1442352e-05 1.6645952e-05 2.2194603e-05 1.10973015e-05 2.0345053e-05 1.2946852e-05 2.2194603e-05 1.2946852e-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 0.008972168 0.00043834338 7.583156e-05 6.843336e-05 0.00017200816 0.00011467211 9.432706e-05 7.768111e-05 0.0007453687 9.432706e-05 8.507931e-05 6.658381e-05 0.000103574814 8.138021e-05 9.062796e-05 8.322976e-05 0.009560325 6.843336e-05 0.0012133049 2.0345053e-05 0.0010764382 0.0006343957 0.004437071 0.0018939395 3.6991005e-06 3.6991005e-06 7.398201e-06 1.8495502e-06 0.0 1.8495502e-06 1.6645952e-05 0.0 0.033406574 0.00036621094 0.0060091885 0.0012077562 0.001327977 0.00083414715 0.015922777 0.007281679 6.473425e-05 7.2132454e-05 0.00011652166 0.00013501717 0.0017774177 0.00014056581 8.6928856e-05 0.003220067 0.019146543 0.00013501717 0.00982666 0.004464814 0.0012576941 0.0013723662 0.020343203 0.010572029 0.00013131807 0.00019605232 5.5486507e-05 0.0011633671 0.00014611447 7.768111e-05 0.000110973015 0.0029703777 0.03050648 0.0004309452 0.034886215 0.015867291 0.0055283057 0.0040838066 0.05522572 0.030463941 0.00021824692 0.00015721176 0.00025708746 0.00042169745 0.0017293295 0.0002977776 0.00027188388 0.0052601206 0.006203391 0.0004494407 0.0028631038 0.0011300752 0.0003828569 0.00033846768 0.00398948 0.002088142 0.00024044153 0.0004753344 0.00038840555 0.0016072592 0.00039950284 0.0004938299 0.000497529 0.0049678916 0.012530702 0.0020345051 0.0025967686 0.0017774177 0.00068803265 0.0021158855 0.0022361062 0.001969771 0.0007342714 0.0009728634 0.0019660718 0.0021343809 0.0039598867 0.0022416548 0.0014167555 0.017443107 0.004991936 0.0007971561 0.0030628552 0.0015369762 0.0011800131 0.000921076 0.0037693833 0.002088142 0.00055856415 0.0008544922 0.0007342714 0.0008322976 0.0005419182 0.00061774976 0.00078975793 0.0032385625 0.0034845525 0.0011171283 0.0021935664 0.0010283499 0.0006473426 0.00054746686 0.0027225378 0.0016867898 0.0008045543 0.0015073834 0.0016313032 0.0011800131 0.0008156516 0.0008285985 0.0011818625 0.0013501716 0.010879055 0.004757043 0.006179347 0.0042706113 0.0046127783 0.003183076 0.0057206587 0.0047071055 0.003704649 0.0026707505 0.003425367 0.003231164 0.002628211 0.0026615027 0.0040856563 0.0052527227 0.03812108 0.026283957 0.025396174 0.022610752 0.026213676 0.020942457 0.02393503 0.021643436 0.025179775 0.01978094 0.021118164 0.019727303 0.02278276 0.019830877 0.020300662 0.02113296 2730.0 24.401464 66616.0 0.094706975 0.0036777952 0.025609463 0.003752852 0.003227453 0.0038128977 0.0016212321 0.0005103879 0.001726312 0.0024018253 0.010598054 0.00043533085 0.003017293 0.022787318 0.0071754535 0.05234478 0.009607301 0.008136184 0.0023567912 0.0021916656 0.002491894 0.0023117568 0.0014110724 0.0013360154 0.0030022818 0.0016662664 0.016602619 0.013119971 0.014531043 0.015431728 0.015191546 0.00040530803 0.0030473159 0.0049687764 0.0035126696 0.003272487 0.0052389815 0.0030473159 0.0026269965 0.00213162 0.0015611865 0.0062297345 0.0008256275 0.0021166087 0.0034376127 0.002822145 0.0026269965 0.0030473159 0.0040230574 0.000990753 0.003452624 0.004743605 0.0066650654 0.0019965174 0.0020265402 0.0012609584 0.0013059926 0.0011108442 0.0006755134 0.0022967455 0.0006755134 0.0021466315 0.0003152396 0.0016062207 0.0006004563 0.037258316 0.01299988 0.023597935 0.036327608 0.055902485 0.008271286 0.016227333 0.016437493 0.04869701 0.0011258556 0.0048636966 0.02804131 0.013555302 0.032034345 0.03410592 0.0178936 0.001396061 0.03443617 0.031088628 0.05765882 0.011363637 0.010733157 0.009682358 0.01076318 0.006454906 0.0017113006 0.0014861295 0.00081061607 0.0006454906 0.00045034225 0.00037528522 5.490782 1.0 14.0 0.0 4.0 271992.0 266240.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1168765700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 0.0 4096.0 4096.0 3.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.54356444 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.886662 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0898986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 113.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 253952.0 8192.0 0.0 0.0 5752.0 266240.0 8.0 262144.0 28.0 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


Input: 0.0069998624 0.0039559226 0.00392994 0.0039383345 0.0038927654 0.003951526 0.003917549 0.003932938 0.0039904993 0.0039119525 0.003912352 0.0039079553 0.003937935 0.0039335378 0.0038887681 0.003954324 0.0039191474 0.00387118 0.0039085546 0.003929141 0.0039399336 0.0039571216 0.0038867695 0.0039045573 0.0038885681 0.003894764 0.0038427992 0.0038535919 0.003903758 0.003887369 0.0038803737 0.0038803737 0.003926942 0.0038673826 0.003903558 0.003887169 0.0038731787 0.0039189477 0.003942132 0.0039057566 0.0038567898 0.0038863698 0.0038719794 0.0038895675 0.0038825723 0.0038939645 0.003905157 0.0039015594 0.003909554 0.0038673826 0.0038863698 0.003927142 0.0038811732 0.0039289407 0.0038687815 0.0038376027 0.0038955635 0.0038875688 0.00391535 0.003908155 0.0039367354 0.0038649843 0.003906356 0.003933138 0.0040640496 0.003937935 0.0038693813 0.003908155 0.0038819727 0.004007288 0.0039307396 0.0039009599 0.003884571 0.00391535 0.0038659836 0.0038735783 0.0038951638 0.003908355 0.0038537919 0.0038212137 0.003940333 0.003923944 0.0039489274 0.0039323387 0.0038743778 0.0038579889 0.003968714 0.0038521928 0.003859588 0.0038951638 0.003918748 0.0038382022 0.003912552 0.0038759767 0.0038931652 0.0039047573 0.0038879686 0.003912752 0.003887169 0.003906956 0.003924344 0.0039841034 0.0038855702 0.0038605873 0.00394453 0.003931739 0.00393034 0.0038481955 0.0039087543 0.003888968 0.0038699808 0.0039277417 0.0038332057 0.003859388 0.0038807734 0.0039119525 0.004014683 0.003966116 0.003888968 0.0038793744 0.0038745776 0.0038987612 0.0038875688 0.0038509937 0.0038503942 0.0038817727 0.0038511935 0.0038733785 0.0039159497 0.0038941645 0.003884571 0.0038671826 0.0038963628 0.0039541237 0.003848795 0.0038901672 0.0038985615 0.0039711124 0.0038384022 0.0040270747 0.0038553907 0.004000093 0.0038641847 0.0038567898 0.0038447978 0.0038707803 0.003881573 0.0038793744 0.0038427992 0.0038609868 0.0038427992 0.0038362036 0.00387098 0.0038314068 0.003819415 0.0038693813 0.003882972 0.0038737783 0.0038645845 0.0038515932 0.0039231447 0.003851993 0.0038767762 0.003872779 0.0038793744 0.0038767762 0.003845997 0.003843199 0.0038803737 0.0038861698 0.0038338052 0.0038294082 0.0038410004 0.0038451976 0.0038881684 0.003829808 0.003857789 0.00385639 0.0038360038 0.003851793 0.0038817727 0.0038615866 0.003810421 0.0038539916 0.0039003603 0.0038569896 0.0038843711 0.0038188153 0.003824012 0.0038392015 0.0038913663 0.0038457972 0.0039411327 0.0038396013 0.0038326061 0.0038382022 0.0038250112 0.0038527923 0.0038661833 0.003865184 0.0038943642 0.0039189477 0.00385639 0.0038511935 0.003882972 0.0038455974 0.003838602 0.003834405 0.0039017594 0.0038649843 0.0038565898 0.0038777755 0.003877176 0.0038418 0.0038453974 0.0038765764 0.0038453974 0.0038338052 0.0038523928 0.0038985615 0.0038627856 0.0038773757 0.0038469965 0.0039085546 0.0039029585 0.003888968 0.0038705803 0.0038687815 0.0038623859 0.0038130193 0.003853192 0.0038969626 0.003996695 0.0038453974 0.0038449976 0.0038334054 0.003828409 0.003876976 0.0038565898 0.003848995 0.003909354 0.0038737783 0.0038851704 0.00387098 0.0038751774 0.0038797741 0.0038803737 0.0038056243 0.0038799741 0.0039131516 0.0038749774 0.0039079553 0.003924544 0.0038481955 0.0038789748 0.0060013384 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001560301 1.9991044e-06 1.3993731e-06 1.1994626e-06 7.096821e-06 2.5988356e-06 1.1594805e-05 3.8982535e-06 3.5983878e-06 5.997313e-07 1.0995075e-06 3.998209e-07 5.997313e-07 3.998209e-07 6.9968655e-07 1.1494851e-05 0.0001332403 3.5983878e-06 1.0095478e-05 8.596149e-06 3.3984775e-06 3.0986118e-06 2.468894e-05 1.2294492e-05 5.997313e-07 9.995522e-08 4.997761e-07 0.0 2.9986566e-07 0.0 0.0 4.1981193e-06 0.000119346536 2.29897e-06 7.096821e-06 1.8991492e-06 1.1194985e-05 2.4988806e-06 1.2394447e-05 3.9982087e-06 3.8982535e-06 2.9986566e-07 7.996418e-07 9.995522e-08 2.9986566e-07 0.0 7.996418e-07 3.7783073e-05 0.0005359599 2.9186924e-05 4.1681327e-05 2.258988e-05 8.266297e-05 5.207667e-05 0.00022329997 0.00010635235 1.7092343e-05 2.318961e-05 7.596597e-06 4.59794e-06 4.997761e-06 4.4979847e-06 4.1981193e-06 6.8269415e-05 0.00033604944 1.8291805e-05 2.8287328e-05 2.738773e-05 5.1376985e-05 3.2785312e-05 8.486198e-05 5.1177074e-05 1.4693417e-05 1.4293597e-05 8.995969e-06 2.698791e-06 6.3971343e-06 4.39803e-06 8.496194e-06 0.00012864236 0.0006455108 0.00011184989 9.6256874e-05 7.826494e-05 9.2958355e-05 6.6870045e-05 9.815603e-05 7.346709e-05 3.788303e-05 3.738325e-05 1.8691626e-05 2.0190955e-05 1.8791581e-05 1.5493059e-05 2.0590775e-05 0.0004100163 0.001212257 0.00034474555 0.00028027443 0.00028427265 0.0002289974 0.0001743219 0.00022339991 0.0001513322 9.635683e-05 8.856032e-05 7.85648e-05 6.996866e-05 6.127255e-05 7.676561e-05 6.147246e-05 0.0012757285 0.00041051608 7.47665e-05 3.908249e-05 6.287183e-05 0.00014843351 0.00010895119 7.546619e-05 0.00010095477 0.00019521255 8.995969e-06 1.5792924e-05 2.3689387e-05 7.9164536e-05 3.0686253e-05 7.626583e-05 0.00018681631 0.0007225763 0.00016322687 9.095925e-05 0.00013443978 0.00029176928 0.00024568994 0.00015473067 0.00017891984 0.00035933903 2.258988e-05 5.417573e-05 5.3476044e-05 0.00013963744 5.7674162e-05 0.00019191402 0.00041421445 0.061612196 0.061602402 0.06172245 0.061737143 0.061603602 0.06171435 0.061592307 0.061525136 0.061738342 0.061532933 0.061622795 0.061501447 0.06147726 0.061683867 0.061528936 0.061679967 23267.0 5.714918 132969.0 0.010190345 0.00970903 0.010558852 0.009633824 0.010175304 0.0108897565 0.010348276 0.009972249 0.010107619 0.010483647 0.009927126 0.009949688 0.009769195 0.010295633 0.010476126 0.010355798 0.010694222 0.010115139 0.010077537 0.010438523 0.009701509 0.009761673 0.0100850575 0.00999481 0.010325715 0.010498688 0.0099421665 0.0107468655 0.010092578 0.010378359 0.010047454 0.009821838 0.010378359 0.010611496 0.010212907 0.011055209 0.010152742 0.010431003 0.010829592 0.010566372 0.010438523 0.010904797 0.010498688 0.010438523 0.010175304 0.010912318 0.009716551 0.01025803 0.010453564 0.01040092 0.010521249 0.011055209 0.010152742 0.009415728 0.010521249 0.010964962 0.01025803 0.010348276 0.010288112 0.0099421665 0.010558852 0.010039934 0.010115139 0.0103181945 0.0102279475 0.011280824 0.010558852 0.0107995095 0.010874715 0.013935579 0.010596455 0.01052877 0.010649099 0.0116944555 0.010130181 0.0105137285 0.01122066 0.010378359 0.010964962 0.010964962 0.010731825 0.009814317 0.011205619 0.011310907 0.01175462 0.010536291 0.010295633 0.010265551 0.0103181945 0.0100850575 0.00997977 0.009829359 0.009904564 0.01025803 0.0100324135 0.009859441 6.5829034 0.0 0.0 0.0 89.0 5003384.0 1097728.0 0.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1252502700.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 1.0 9.0 0.0 5.0 0.0 5.0 0.0 25600.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 37376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0281763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4298774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4933524 0.0 5.4422674 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -593920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6386.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -419484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25506.0 0.0 37336.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 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 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 35352.0 37336.0 1056768.0 0.0 0.0 15520.0 11181832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.0979837 0.013484556 0.0072546797 0.009116093 0.020800857 0.004293518 0.0036267848 0.003429152 0.016412964 0.0021195568 0.0018453135 0.002534808 0.011766371 0.002067373 0.0022683365 0.012479182 0.011134612 0.0023504985 0.0013195878 0.0011358337 0.007969156 0.0029039816 0.0013140363 0.0012990474 0.0068388735 0.00094264204 0.0011308374 0.0014222903 0.0060888682 0.0010764329 0.0010797638 0.0010148113 0.005044079 0.0008366087 0.00089101325 0.0009914951 0.04040426 0.00076666 0.00045910777 0.00043801212 0.003246508 0.0006184354 0.00064230675 0.0029145293 0.0030599781 0.0005296116 0.0005623654 0.00063231407 0.002790176 0.00064730307 0.0009065574 0.0074634156 0.0024709657 0.000919881 0.00079330715 0.0009881642 0.0027013524 0.0017542691 0.0011363889 0.0060572247 0.0026708192 0.0011025248 0.0006972664 0.00064674794 0.0045894124 0.0021656342 0.002004641 0.0018419826 0.015008438 0.0049230563 0.004412875 0.0026314037 0.003994293 0.0013878711 0.0009776164 0.0010536717 0.007475629 0.0025853263 0.002150645 0.0013667755 0.012182733 0.0072946507 0.0042463304 0.0045655407 0.0059906067 0.0045377836 0.00686219 0.0055692494 0.0018364311 0.001443386 0.0005007439 0.0037278219 0.0054743188 0.004435636 0.0052644727 0.0044300845 0.0010553371 0.0006450825 0.0002809051 0.00035473987 0.0021623033 0.00046465924 0.0019580086 0.0003047765 0.006373104 0.0032548353 0.0063381298 0.0006450825 0.0027163413 0.00039582085 0.0006195457 0.0004707659 0.0018036773 0.0004779828 0.0014877978 0.0009998224 0.013073746 0.010006551 0.0012346501 0.000998712 0.0021639687 0.0008982302 0.0007344614 0.00077720784 0.0050357515 0.0024676349 0.0024820687 0.0013379077 0.00401983 0.0019796593 0.0005262807 0.02472076 0.0059689563 0.012279884 0.0010303555 0.00085992494 0.0024937268 0.019910954 0.0047542914 0.06311594 0.0028551284 0.014549886 0.0010137011 0.0012168854 0.0033519864 0.0003175449 0.00024148957 0.0003713943 0.0015172207 0.00070059736 0.0005990052 0.0004813137 0.00082550576 0.0006017809 0.00028590145 0.00044300847 0.00096984435 0.00044522906 0.00039248995 0.00045910777 0.0007949726 0.0013867609 0.00020484977 0.0005923434 0.00092987367 0.00039693114 0.00024537562 0.00022039394 0.0008205094 0.00026647127 0.00034086115 0.0003014456 0.0009365354 0.00025758886 0.00038804876 0.0010830946 0.0010986387 0.00030644194 0.00026369552 0.00038915907 0.0008882375 0.0004940821 0.0024148957 0.0011791353 0.0026108632 0.0016704417 0.0005873471 0.0008010792 0.0012229921 0.0006267626 0.0014150734 0.0010819844 0.012063931 0.0064869095 0.0032481735 0.006616259 0.012592432 0.0010481203 0.0038577265 0.0059678457 0.0023299581 0.0031848866 0.0012701796 0.0011241756 0.026145272 0.00072502386 0.0012823929 0.00094874867 0.0032026514 0.003306464 0.0034308175 0.0011164035 0.00074667466 0.00053294253 0.0007061488 0.0006972664 0.0037827815 0.009646814 0.0007472298 0.00248762 0.0012729554 0.0021928363 0.0015133347 0.0012574112 0.0021595275 0.0008354984 0.0016893167 0.0005568139 0.0014977906 0.0013845402 0.0004901961 0.0005029645 0.020361735 0.0022183731 0.00084604626 0.005175649 0.0028773344 0.0010364621 0.00081440277 0.0006350898 0.0028312572 0.001020918 0.0007794284 0.0009476384 0.0012468634 0.0008271712 0.0031804454 0.0018020119 0.004767615 0.0022094909 0.0017692581 0.002011858 0.002793507 0.0019757734 0.0034491373 0.033018008 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00029330206 8.054696e-06 4.7217186e-06 1.4442904e-05 3.8329246e-05 4.1662224e-06 1.9164623e-05 2.9441304e-05 4.3328713e-05 4.1662224e-06 3.610726e-06 2.99968e-05 3.194104e-05 5.8327114e-06 1.5276148e-05 2.3053097e-05 0.0020861663 0.00017081511 0.00016276042 0.0001285974 0.00024941785 9.6934105e-05 0.00021331057 0.00022025428 0.00047661582 4.360646e-05 2.8052564e-05 0.00021719905 0.00053910917 5.527188e-05 0.00016303816 0.00026830472 0.0050339075 0.0004943917 0.00080685836 0.00048966997 0.0007649184 0.0007004808 0.00054660835 0.00068437145 0.0020642243 0.00018775775 0.00015220599 0.00051355636 0.0013109712 0.00041328924 0.0005443864 0.0006507639 0.10492686 0.021635192 0.025100933 0.014251813 0.025986116 0.035065148 0.011745136 0.021041645 0.07793002 0.005543575 0.0040106834 0.007961929 0.04237326 0.015105056 0.01953514 0.03024483 0.0987328 0.026622716 0.03586145 0.018769942 0.031439148 0.042381033 0.015419744 0.023885785 0.080616675 0.0061679534 0.0049544717 0.008283561 0.044536084 0.020995816 0.022764517 0.033357833 0.00029524628 9.637861e-05 9.249013e-05 9.637861e-05 8.554643e-05 0.00012831965 9.1379145e-05 0.00012665316 0.00020720012 6.0271348e-05 1.8331379e-05 4.0828978e-05 0.00013026388 7.027028e-05 6.166009e-05 0.00010526655 4164.0 5.768252 24019.0 0.024397353 0.0015404471 0.0025396561 0.0051625795 0.121903494 0.0007910404 0.000999209 0.0011657438 0.015029768 0.0019151506 0.0010408426 0.012365211 0.011324368 0.002123319 0.0019151506 0.0012073775 0.0118656065 0.0012490113 0.0020400516 0.012198676 0.009284317 0.000707773 0.005245847 0.00037470335 0.0104500605 0.015071401 0.0015820808 0.022856904 0.010866397 0.011282735 0.0007910404 0.000707773 0.009409218 0.003996836 0.0019567842 0.0035804987 0.04209168 0.0034139638 0.006952829 0.005537283 0.00820184 0.0012906449 0.0013739123 0.001415546 0.027811317 0.0022898538 0.0034555977 0.0029143596 0.044214997 0.03438944 0.027769683 0.028061118 0.024022648 0.021732794 0.031308547 0.029934635 0.004662975 0.013739123 0.0012073775 0.022024231 0.009742287 0.02189933 0.025105124 0.024022648 0.0044548064 0.0047878763 0.0017069819 0.0018735168 0.004288272 0.0033306966 0.0054540155 0.0012906449 0.020691952 0.004371539 0.017153088 0.000707773 0.010658229 0.0021649527 0.0026229236 0.0027478246 0.00595362 0.0014571798 0.0071609975 0.0052042133 0.03043424 0.017486157 0.0033306966 0.0031641617 0.0040384694 0.0007494067 0.00041633708 0.0007910404 0.010574961 0.0037886673 0.003996836 0.0016237146 5.6291165 0.0 0.0 0.0 2.0 1801320.0 5476352.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1428117000.0 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 -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 2693632.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -132096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2378752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -109568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2693632.0 0.0 54784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.673105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132078.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2378722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -203620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2693412.0 0.0 54368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 360.0 5061980.0 54368.0 5283840.0 0.0 0.0 6984.0 5369856.0 100796.0 5341184.0 28.0 2702224.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 5016384.0 0.0 0.0 2768.0 2699264.0 0.0 0.0 0.0 0.0


Input: 0.08226075 0.012514048 0.0071221273 0.007934744 0.012142319 0.004249565 0.0022093784 0.00211552 0.019060675 0.002904672 0.0024897188 0.0018018351 0.012751164 0.0019636175 0.0010954269 0.060237363 0.017802231 0.00332086 0.00082867127 0.0007582774 0.007637114 0.0009175898 0.00066318404 0.00068541366 0.0040581427 0.000601435 0.0006767688 0.00047670212 0.0039642844 0.0007743322 0.00050016673 0.0005841453 0.003434478 0.00027416548 0.00041001322 0.000543391 0.009341385 0.0007027034 0.00065700914 0.00040260333 0.002356341 0.0014276364 0.00027910538 0.0014622158 0.0014338113 0.00047793708 0.00025811073 0.00020624159 0.0017981302 0.001089252 0.00037790375 0.0017129167 0.0014078767 0.00040383832 0.00022723623 0.00023958604 0.0016215282 0.0006767688 0.00033961938 0.002777469 0.0014387512 0.0003865486 0.00020006669 0.00041865808 0.0032467612 0.0017351463 0.002240253 0.0005890853 0.006087214 0.03116965 0.00063107454 0.0003569091 0.002540353 0.0005804404 0.0013757673 0.0005779704 0.0020438912 0.017975127 0.00051622145 0.00039766342 0.0050560064 0.0046237633 0.0031924222 0.0016215282 0.0017808406 0.021497289 0.0014338113 0.0011028368 0.0019611476 0.0012794388 0.0008694256 0.001927803 0.0018339447 0.0056599113 0.0020858804 0.0009731639 0.0026687908 0.0014004668 0.0014399862 0.0010089783 0.0010633174 0.0007496326 0.012514048 0.00069035357 0.0021698591 0.00095587416 0.0028515677 0.0020685908 0.00121028 0.0002297062 0.0014078767 0.0087337755 0.00181295 0.0017907204 0.0020636509 0.0016486978 0.0031059736 0.0038901856 0.00063848443 0.00023958604 0.0012325096 0.00050634163 0.0012584442 0.0005878503 0.0016239982 0.0053672213 0.0030269348 0.0036962938 0.0031813073 0.0035493313 0.001756141 0.017130401 0.0026045719 0.011186445 0.00033097452 0.00025440578 0.003969224 0.023060773 0.0034418881 0.059860695 0.0016054735 0.012838848 0.000544626 0.0003754338 0.004396527 0.0009879837 0.0004297729 0.00011979302 0.0016968619 0.0039013005 0.0002852803 0.00022847122 0.0011794055 0.00035320414 0.00027910538 0.0002173564 0.0011868153 0.0015177899 0.00041001322 0.00023464611 0.0013399528 0.0006174898 0.0001630173 0.00026922554 0.0011201265 0.00036431898 0.00047546712 0.000121027995 0.0010410878 0.00014696257 0.00015437245 0.00023835106 0.001146061 0.00038407865 0.0001148531 0.0013090783 0.0014572759 0.00021365147 0.00023835106 0.00033467947 0.0014399862 0.0002963951 0.007637114 0.0036049054 0.0026996653 0.0010447927 0.0007348128 0.00030503995 0.0013177232 0.00049769675 0.00080644165 0.0043483633 0.006423129 0.009722994 0.00514616 0.0029886505 0.007722327 0.0011188915 0.0021797388 0.0057673547 0.0034517678 0.0024082102 0.0022637176 0.0009435244 0.00934015 0.0007397528 0.0007471626 0.0007595124 0.0051165204 0.002900967 0.0023785706 0.002167389 0.0021957937 0.0012349796 0.00080520666 0.000786682 0.007916219 0.013673694 0.0012535043 0.0016141183 0.0049337433 0.00272807 0.0013029034 0.0015412545 0.006703469 0.0021575093 0.0025638177 0.0011188915 0.0038370816 0.0024292048 0.0012460944 0.0010349129 0.008961012 0.0035233968 0.0008842454 0.00666148 0.006098329 0.0011114816 0.0014276364 0.0023798055 0.005154805 0.0007805071 0.0012967285 0.00151038 0.0049411533 0.0024563742 0.0018376496 0.0026218616 0.008949897 0.0034468279 0.004039618 0.0024971287 0.00907463 0.0050374814 0.006421894 0.05592358 0.017612163 5.3222037e-05 2.4754436e-06 8.045192e-06 3.7131654e-06 8.664053e-06 8.045192e-06 6.80747e-06 7.4263307e-06 2.4754436e-06 1.42338e-05 5.5697483e-06 3.7131654e-06 3.7131654e-06 1.8565827e-06 1.8565827e-06 0.0012272012 1.5471522e-05 1.2377218e-06 1.8565827e-06 1.2377218e-06 2.4754436e-06 6.188609e-07 1.8565827e-06 4.3320265e-06 1.8565827e-06 5.5697483e-06 6.188609e-07 6.188609e-07 1.2377218e-06 6.188609e-07 6.188609e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022489405 3.7131653e-05 5.5697483e-06 1.6090384e-05 1.6090384e-05 3.3418488e-05 4.3320265e-06 1.9184688e-05 6.4361535e-05 1.7946966e-05 4.3320265e-06 2.4754436e-06 1.2996079e-05 2.4754436e-05 1.1758357e-05 1.5471522e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00066713203 7.550103e-05 2.784874e-05 3.5893932e-05 7.4263306e-05 7.7976474e-05 4.827115e-05 6.4361535e-05 0.000284676 9.4066854e-05 7.735761e-05 2.5992158e-05 3.8369377e-05 0.0002673479 5.3840897e-05 0.0006219552 0.0069949846 0.0011244703 0.000378124 0.0004034973 0.0006745584 0.00079523626 0.002028626 0.0010805312 0.0026549133 0.0009016803 0.0004808549 0.00039792756 0.0011102365 0.0029086461 0.0013769655 0.0071069985 0.050288018 0.0075352504 0.004040543 0.0022885476 0.011510194 0.009532933 0.012405685 0.0073576374 0.023833571 0.0030546973 0.0010254525 0.004128421 0.010163552 0.0077122445 0.011353622 0.026418554 0.12937844 0.027547356 0.015306906 0.009601627 0.04900883 0.037022736 0.021972038 0.018784285 0.10117695 0.011276265 0.005766546 0.018002663 0.041114643 0.032139923 0.03249391 0.069178745 0.024220359 0.00792637 0.003906869 0.0027533122 0.010760753 0.009467953 0.0047225277 0.0051315944 0.017730365 0.0020985573 0.0016300796 0.0044025765 0.009232167 0.009557688 0.0068594543 0.012679222 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 268.0 7.574627 2030.0 0.04187192 0.0044334973 0.00049261085 0.0009852217 0.012807881 0.0064039407 0.0034482758 0.00049261085 0.019211823 0.012807881 0.00049261085 0.0009852217 0.00591133 0.0073891627 0.008374385 0.01773399 0.0123152705 0.007881774 0.0108374385 0.008866995 0.0113300495 0.0068965517 0.00591133 0.002955665 0.0054187193 0.0044334973 0.002955665 0.0034482758 0.0024630541 0.008374385 0.0024630541 0.0044334973 0.007881774 0.0049261083 0.015270936 0.00049261085 0.0034482758 0.0024630541 0.002955665 0.00049261085 0.0054187193 0.0034482758 0.002955665 0.020197045 0.0009852217 0.0034482758 0.0009852217 0.0024630541 0.01724138 0.008866995 0.0064039407 0.013793103 0.00591133 0.0034482758 0.015270936 0.015763547 0.018719211 0.009359606 0.009359606 0.045320198 0.002955665 0.039901476 0.04729064 0.049261082 0.0054187193 0.020689655 0.025615763 0.026108375 0.014778325 0.021674877 0.007881774 0.008374385 0.015270936 0.018226601 0.010344828 0.0014778326 0.014285714 0.015270936 0.012807881 0.015763547 0.012807881 0.0024630541 0.014285714 0.014285714 0.020689655 0.0123152705 0.019211823 0.0024630541 0.008374385 0.010344828 0.00049261085 0.0024630541 0.0044334973 0.0014778326 0.003940887 0.0044334973 6.0063233 0.0 0.0 0.0 2.0 809730.0 29093888.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1301197800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 6004736.0 1024.0 4096.0 8.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -177664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 776704.0 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 -1722368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6004224.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5772753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -177640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 776056.0 0.0 0.0 0.0 2752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22109952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6003843.0 0.0 1640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4120.0 6739520.0 140.0 6735204.0 1640.0 28909568.0 0.0 0.0 0.0 0.0 120804.0 28913664.0 28.0 6013888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 936.0 6012928.0 0.0 0.0 0.0 0.0


Input: 0.040604692 0.0053118155 0.0041852375 0.004592214 0.004676707 0.0037557296 0.0036698282 0.003762771 0.0049738423 0.0036149074 0.0037177077 0.0035388635 0.003997944 0.0035825183 0.0034923921 0.0040599057 0.004288038 0.0034515536 0.003302282 0.003385367 0.0036163158 0.0038050176 0.0033487533 0.0033065067 0.0036416636 0.0033473452 0.0032755258 0.0034867593 0.003574069 0.0033966328 0.0032882 0.003472677 0.0041458076 0.0033473452 0.0034994332 0.0034318385 0.004142991 0.0037430557 0.0033881837 0.0032220134 0.0035909677 0.0034585947 0.0033121395 0.003376918 0.0035064742 0.0035444964 0.0035191483 0.0033952247 0.004099336 0.003883878 0.0034304303 0.004985108 0.003537455 0.0036092745 0.0032994656 0.0034050823 0.003465636 0.0036388473 0.003465636 0.004037374 0.0035726607 0.0037078501 0.0034332466 0.0036163158 0.0065383776 0.0041246843 0.0039627384 0.0040697632 0.0037416476 0.005290692 0.0035459045 0.0035275978 0.003416348 0.0034628194 0.0035149236 0.0032867915 0.0036205403 0.0037191159 0.003296649 0.0033543862 0.0048048557 0.0037979763 0.0037909353 0.004403512 0.0036008253 0.004257057 0.0041077854 0.0038726123 0.0036613788 0.0039148587 0.00377122 0.0037416476 0.0034923921 0.0039190836 0.0036768692 0.0038472642 0.0032600353 0.003682502 0.0034318385 0.003561395 0.004227484 0.0043809805 0.0040092096 0.003360019 0.0043626735 0.003776853 0.0040387823 0.0034233893 0.0038895109 0.0034895756 0.0036965844 0.0035951922 0.003744464 0.0035332306 0.0039796373 0.0037965681 0.0054441886 0.0048175296 0.003447329 0.0036965844 0.003467044 0.003617724 0.0033501615 0.003376918 0.0035853349 0.0038092423 0.0035205565 0.0034754935 0.0043992875 0.0036543377 0.0034205727 0.0046386854 0.0037979763 0.004610521 0.004117643 0.0032741176 0.0035261894 0.0055047423 0.0035670279 0.008894334 0.0036092745 0.0044513918 0.0033938165 0.0033445286 0.0039317575 0.0033557946 0.0034177562 0.003352978 0.003416348 0.0034078988 0.003376918 0.0033050985 0.0034149399 0.0039007766 0.0033473452 0.0032600353 0.0034867593 0.0033670603 0.0033163643 0.0033698766 0.0037979763 0.0033881837 0.0033501615 0.0033346713 0.0035388635 0.0035529456 0.0035585784 0.0033107314 0.0033572027 0.0033374876 0.003441696 0.0032220134 0.0034374713 0.0033515699 0.003376918 0.0033755095 0.0035515374 0.0033234053 0.0036205403 0.003226238 0.0033121395 0.003314956 0.0033121395 0.003213564 0.0035388635 0.0034318385 0.003650113 0.0032783423 0.003448737 0.0033135477 0.0033065067 0.0032220134 0.005839899 0.0037754448 0.0035163318 0.0050569274 0.0035346388 0.0032882 0.0035163318 0.0038134668 0.0035754773 0.003599417 0.0034684523 0.0032628519 0.004261282 0.0033670603 0.003416348 0.0034050823 0.0035754773 0.0034332466 0.003617724 0.0034445126 0.0034614112 0.0032882 0.003593784 0.0034318385 0.0036923597 0.0034107151 0.0033135477 0.003447329 0.0034839427 0.0033360794 0.0034290222 0.0033332629 0.0035881512 0.0033614275 0.003448737 0.0036303978 0.0035782936 0.0033881837 0.0033698766 0.0033670603 0.007250938 0.0039486564 0.0034909837 0.00426269 0.004099336 0.0034247974 0.0034064904 0.0034557784 0.0039655548 0.0033797342 0.0035191483 0.0034628194 0.0037402392 0.0034895756 0.0036289897 0.0035825183 0.004427452 0.0035529456 0.0035656197 0.0035515374 0.004340142 0.0035135155 0.0038190996 0.016053738 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013491239 7.761696e-06 5.64487e-06 2.822435e-06 1.4112175e-06 2.1168262e-06 9.878522e-06 2.1168262e-06 1.9757044e-05 1.4112175e-06 3.5280436e-06 4.939261e-06 2.822435e-06 6.3504785e-06 1.41121745e-05 1.128974e-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 0.0012312873 8.467305e-06 1.4817783e-05 3.0341176e-05 4.939261e-06 3.5280436e-06 1.4817783e-05 2.1873871e-05 3.951409e-05 1.3406566e-05 4.939261e-06 1.4112175e-06 1.9051437e-05 4.939261e-06 3.5280436e-06 2.8224349e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026234533 2.6107524e-05 6.350478e-05 5.080383e-05 0.00026389767 0.000113603004 0.00072536577 0.0003316361 3.6691654e-05 4.2336524e-06 2.1168262e-06 2.1168262e-06 5.64487e-06 3.5280436e-06 9.172913e-06 7.338331e-05 0.0035223989 2.6107524e-05 4.3747743e-05 8.5378655e-05 6.8444046e-05 0.00012983201 0.0001375937 0.00034433708 0.00028506594 5.009822e-05 5.574309e-05 3.316361e-05 0.00026107524 1.7640219e-05 0.00013265444 0.00058706646 0.008718502 0.0002335565 0.00026319205 0.001044301 0.0011113337 0.00084461365 0.0027688087 0.0013258388 0.00045652885 0.00027095375 0.0001778134 0.00017287415 0.00038879042 0.00014606101 0.00028365472 0.00057930476 0.005935581 8.2556224e-05 0.0001855751 0.00064916007 0.00039161285 0.0004029026 0.0009949083 0.00064986566 0.0007077256 0.0003457483 0.00029565007 0.000308351 0.0007740528 8.608427e-05 0.00030482298 0.00089118385 0.0027744535 0.00011501423 0.00014041614 0.0012468107 0.00020815458 0.00011995349 0.0002730706 0.00034292584 0.00037044458 0.00026319205 0.000102313265 0.00015382271 0.0003147015 0.000102313265 0.00017499097 0.0005228561 0.0015678626 6.985527e-05 0.00013336005 0.00014888344 0.00029494445 0.00017851901 0.00030270615 0.00017075731 0.0002765986 6.2799176e-05 7.0560876e-05 0.000110074965 0.00012559835 9.455157e-05 0.00025613597 0.00047205226 0.0075055603 0.001226348 0.00074653403 0.0012863247 0.0024498736 0.002059672 0.00097444566 0.0018571622 0.0035703802 0.00043112694 0.00061952445 0.000450884 0.0016440684 0.00078887056 0.001955242 0.0042258906 0.013029065 0.002600168 0.0026305094 0.0029692017 0.006050595 0.0069008535 0.0022988734 0.0036875112 0.0099483775 0.0014006334 0.0012764463 0.0016080823 0.005304061 0.0024160044 0.0057556503 0.011603735 0.052354757 0.051677372 0.052405562 0.051755697 0.05171971 0.05200407 0.05167808 0.051941976 0.052574202 0.052274317 0.052227043 0.05131963 0.05191728 0.051730294 0.052204464 0.05258549 3422.0 7.0122733 23996.0 0.013668945 0.0059593264 0.009376563 0.0066261045 0.0075845974 0.007417903 0.00645941 0.00645941 0.0075845974 0.006751125 0.0068344725 0.0074595767 0.007126188 0.008334722 0.010293382 0.007334556 0.013418904 0.011001834 0.009793299 0.008043007 0.009084848 0.007542924 0.0072095348 0.0074595767 0.008418069 0.008043007 0.0092098685 0.008834805 0.008209702 0.009293215 0.0097099515 0.00945991 0.0082513755 0.014502417 0.008918153 0.012502084 0.010668444 0.008793132 0.010501751 0.010751792 0.0077929655 0.010001667 0.007917986 0.008043007 0.009959993 0.009126521 0.008501417 0.0072512086 0.010918487 0.010210035 0.011293549 0.012960494 0.0092098685 0.009293215 0.009584931 0.0090015 0.008168028 0.008209702 0.008584764 0.009626605 0.009251541 0.007751292 0.007626271 0.008126355 0.0072512086 0.01971162 0.009418236 0.014044007 0.014210702 0.040881813 0.008334722 0.010001667 0.012835473 0.022212036 0.008418069 0.008001333 0.02296216 0.011126854 0.018753126 0.020211702 0.010376729 0.006709452 0.021295216 0.017211203 0.028254708 0.013127188 0.007834639 0.010126688 0.009959993 0.010251708 0.009626605 0.0057926322 0.0065844306 0.007126188 0.007417903 0.0066261045 6.4578276 1.0 0.0 0.0 14.0 710115.0 110592.0 0.0 0.0 10.0 1.0 1.0 0.0 1.0 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 29696.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -1536.0 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29696.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.531563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2157707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5606847 0.0 0.0 0.0 0.0 0.0 0.0 -4.675481 3.4520586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -1484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 43161.0 0.0 0.0 0.0 0.0 0.0 -536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29228.0 0.0 0.0 0.0 0.0 0.0 0.0 -2148.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2148.0 86016.0 5120.0 102400.0 0.0 0.0 0.0 0.0 1484.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.01600211 0.0043522 0.004165149 0.003917741 0.00412328 0.0037823466 0.0038111655 0.0036850148 0.0065446123 0.0038655407 0.005561507 0.0036311832 0.0044413754 0.0037654901 0.0035382013 0.0041482924 0.0041923365 0.0037078524 0.0036480394 0.003664896 0.0040150727 0.0037823466 0.0038095342 0.003690996 0.0037557026 0.0036583708 0.0036480394 0.0037035022 0.003748634 0.003550164 0.0034718635 0.0035996456 0.00392481 0.0035463576 0.0035507076 0.0037306899 0.004067817 0.0035447264 0.0035822454 0.0035175388 0.0036420582 0.0035838766 0.0035914893 0.0055876067 0.0036034517 0.0035512515 0.0037584214 0.0034441322 0.003732865 0.0034658823 0.0036241144 0.004094461 0.0036105206 0.0035751767 0.0036219393 0.003792134 0.00371329 0.0036725083 0.0036431458 0.0039210035 0.0036567396 0.0036387958 0.0036061704 0.0035615826 0.003856297 0.004124911 0.004047698 0.0034365195 0.0036480394 0.0045229383 0.003997129 0.003664352 0.0038905535 0.0035849642 0.0055027814 0.003571914 0.003640427 0.0039759227 0.0036719646 0.003613783 0.004226049 0.0036763146 0.0035517951 0.0038595595 0.0038138842 0.0038481406 0.0040254043 0.0038405282 0.0036904523 0.0039432975 0.00371329 0.0036839272 0.0035289575 0.0037421088 0.003785609 0.0037078524 0.0037007835 0.003758965 0.003598558 0.0035887705 0.0056066383 0.0038742407 0.0039318786 0.003712746 0.0037823466 0.005498431 0.004049873 0.00351482 0.0036850148 0.0036203081 0.0055794506 0.003611608 0.00373939 0.003741565 0.0038622783 0.0037045898 0.004498469 0.0045218505 0.003686646 0.0036012768 0.0037143773 0.0036034517 0.0038138842 0.0035251514 0.0036518457 0.0037312338 0.0037247087 0.0035724577 0.0038437906 0.0036855584 0.0034952448 0.004621901 0.0056599258 0.0041216486 0.003708396 0.0053168177 0.0038340031 0.0044653006 0.003928616 0.0057246326 0.0034283632 0.004199949 0.0053788056 0.005248849 0.0037334086 0.0036366207 0.0035659329 0.0036067143 0.0037045898 0.0036197642 0.0036518457 0.0035186263 0.0038062716 0.0036638083 0.003642602 0.0037529839 0.0035496203 0.003475126 0.003670877 0.0035229763 0.0036366207 0.0035849642 0.0035360265 0.0035550578 0.0053146426 0.0035382013 0.0034985074 0.0035327638 0.0035996456 0.003618677 0.0034800197 0.0035789828 0.005373912 0.005485381 0.003530045 0.0035648453 0.0035702828 0.0035436389 0.0037535275 0.0036257457 0.0037611402 0.0038193217 0.00375244 0.0036415146 0.0036676147 0.0036871897 0.0036061704 0.0035969268 0.0036023643 0.0036969772 0.003666527 0.0036143267 0.0039846227 0.0037665777 0.0035958393 0.003947104 0.003758965 0.003534939 0.0037535275 0.0039536287 0.0036730522 0.0037116585 0.0036045392 0.005507675 0.0036996962 0.0035485327 0.0036126955 0.0035914893 0.0036676147 0.003598558 0.00392481 0.0037850654 0.0035469015 0.0035469015 0.0036175894 0.003596383 0.0039340537 0.003582789 0.0035947517 0.0036322707 0.0035289575 0.0035240639 0.0035224326 0.0035485327 0.00371329 0.0035681077 0.0036572833 0.003569739 0.0036387958 0.0035180824 0.0036306393 0.0035914893 0.004527832 0.0037518963 0.0035218887 0.0040150727 0.0037953965 0.0053902245 0.0035017699 0.0036018204 0.0037475463 0.0036322707 0.0036192206 0.0037056773 0.0037551587 0.0035615826 0.003693171 0.0038106216 0.004010179 0.00374809 0.0035436389 0.003776909 0.0039873417 0.0036833833 0.003794309 0.0063890987 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00046269683 7.620889e-06 5.1713178e-06 2.7217461e-06 2.2318318e-05 4.6269683e-06 1.7691349e-05 1.2792207e-05 1.3608731e-06 2.9939208e-06 0.0 8.165238e-07 4.899143e-06 2.7217462e-07 8.165238e-07 1.061481e-05 0.00044282808 1.8235698e-05 1.2247858e-05 1.9052222e-06 2.2590493e-05 4.899143e-06 2.177397e-06 3.53827e-06 8.981762e-06 2.9939208e-06 1.3608731e-06 1.6330476e-06 3.8104445e-06 2.177397e-06 1.3608731e-06 2.6673111e-05 0.0016880269 0.00016330477 2.9667033e-05 2.9667033e-05 4.1098367e-05 2.8033985e-05 3.075573e-05 2.6673111e-05 2.8033985e-05 2.2046144e-05 2.1501794e-05 2.122962e-05 2.3951367e-05 2.2318318e-05 2.2590493e-05 3.075573e-05 0.0007179966 8.165238e-06 4.5725334e-05 2.2862667e-05 2.422354e-05 2.422354e-05 0.0001265612 6.9948874e-05 8.981762e-06 9.253937e-06 1.007046e-05 8.981762e-06 1.007046e-05 9.253937e-06 8.709588e-06 9.798286e-06 0.00079257245 6.5321906e-06 9.988808e-05 2.422354e-05 7.9202815e-05 4.0554016e-05 0.00042595327 0.00018970571 1.0886985e-06 2.7217461e-06 0.0 1.3608731e-06 2.4495714e-06 1.6330476e-06 8.165238e-07 3.53827e-06 0.0014975047 5.6340145e-05 6.368886e-05 4.3275762e-05 0.00019977616 7.675324e-05 0.0003334139 0.00019324398 3.9193143e-05 2.9667033e-05 2.7761811e-05 2.1501794e-05 2.8033985e-05 2.2862667e-05 2.014092e-05 0.00013390991 0.0012650676 0.00020385878 7.8658464e-05 6.804365e-05 0.00015513953 9.0634145e-05 0.00035818177 0.00020685271 4.8174905e-05 3.783227e-05 4.0554016e-05 4.5725334e-05 3.892097e-05 4.4636636e-05 3.892097e-05 6.5866254e-05 0.0007838629 3.783227e-05 3.892097e-05 5.8245365e-05 4.5180986e-05 6.7499306e-05 0.00011676291 6.205581e-05 8.355761e-05 3.837662e-05 1.5513953e-05 2.6128762e-05 8.546283e-05 1.7691349e-05 5.1441002e-05 0.0001437082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0058917636 0.0012087275 0.00072071835 0.0008317656 0.002073154 0.0017288531 0.0008282273 0.0014166689 0.0036544886 0.00040581234 0.00020494749 0.0005576858 0.0014417089 0.00062300765 0.0011934857 0.0023025973 0.0069962484 0.0017775723 0.0018399004 0.0015791571 0.003104968 0.0025200648 0.0031414393 0.0021109863 0.006118757 0.0008622492 0.0023741792 0.0010250096 0.0026877243 0.0011493934 0.0023265486 0.0033066494 0.058579326 0.056197796 0.05730364 0.056307755 0.056994997 0.05609682 0.059678093 0.056442752 0.060606208 0.05674922 0.05969034 0.05693784 0.056933485 0.056294147 0.05733331 0.056471877 8034.0 5.9436145 47751.0 0.012816486 0.009214466 0.009382002 0.010387217 0.010512869 0.00967519 0.008984105 0.009214466 0.009423886 0.009528596 0.01009403 0.008732801 0.00988461 0.009717074 0.010826998 0.009507654 0.010387217 0.010010262 0.009717074 0.009382002 0.010052145 0.010073087 0.010219681 0.009256351 0.009926493 0.008795627 0.010806057 0.009947436 0.00892128 0.01009403 0.009654248 0.010156855 0.009989319 0.009905552 0.010010262 0.009402945 0.008586207 0.0104709845 0.0108898245 0.010282507 0.009612364 0.010219681 0.009235409 0.010010262 0.010010262 0.010114972 0.009717074 0.010617578 0.010429101 0.010324392 0.009402945 0.011497142 0.010156855 0.010073087 0.010282507 0.011183012 0.009654248 0.009968378 0.01105736 0.00988461 0.009109757 0.009549539 0.009633306 0.010135913 0.009528596 0.013067789 0.010073087 0.011957865 0.012628008 0.017884443 0.010261565 0.010261565 0.010575695 0.012313878 0.012774602 0.009235409 0.012460472 0.011141128 0.013360977 0.013863584 0.011099244 0.01009403 0.014575611 0.011790329 0.015664594 0.011224896 0.010450043 0.009067873 0.010303449 0.010617578 0.010240623 0.008963163 0.009800842 0.008481498 0.009696132 0.009821784 6.5717845 1.0 0.0 0.0 24.0 1839070.0 237568.0 0.0 0.0 101.0 0.0 1.0 0.0 0.0 0.0 1331605500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 91648.0 1024.0 4096.0 4.0 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 34816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -91648.0 0.0 68608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.2060924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.877851 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7272916 0.0 7.9126434 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34598.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -91218.0 0.0 68336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 130488.0 68336.0 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 424.0 98304.0 0.0 0.0 0.0 0.0