Input: 0.14072058 0.0071717817 0.0031655186 0.003332125 0.0057340316 0.0036637948 0.0019853911 0.0018527232 0.0074618002 0.001389928 0.0016321242 0.001416153 0.004354902 0.0013251367 0.0011060804 0.003415428 0.005561255 0.0014763165 0.0011631584 0.00088856666 0.00238648 0.0019653367 0.0007651546 0.0008176047 0.0022183312 0.00073275896 0.0008068062 0.00067105296 0.0014994562 0.0005599821 0.00057078066 0.0005476409 0.003830401 0.00053375703 0.00058312184 0.00051678787 0.003918332 0.0014531767 0.00044274068 0.0005106173 0.0009117064 0.00062785874 0.0005599821 0.00079600763 0.0009996375 0.0026934675 0.00066796766 0.00042885682 0.0073507293 0.0036113446 0.0049843034 0.010665885 0.0050907466 0.0026579867 0.0045523616 0.002352542 0.005741745 0.0027088942 0.0006494558 0.0013806721 0.0017185126 0.0009857536 0.00046588044 0.000507532 0.011697918 0.0042469166 0.0052804924 0.009317609 0.003844285 0.03495029 0.003204085 0.0028832136 0.003676136 0.0036159726 0.0009749551 0.001102995 0.0022862079 0.004214521 0.001112251 0.0014855723 0.008384305 0.0021196017 0.0020116162 0.009866792 0.0030683316 0.01420781 0.0026271336 0.0017493656 0.0019313983 0.006610257 0.0027243206 0.0026980955 0.0016074417 0.0048084413 0.0018326687 0.0038242305 0.0054162457 0.005058351 0.0020316707 0.003892107 0.009573689 0.0065824892 0.00399855 0.0019529954 0.0076453756 0.0046973703 0.0033629779 0.0017817613 0.00335835 0.002091834 0.0046649748 0.004104993 0.0031932865 0.0018604364 0.005191019 0.0043842127 0.009447191 0.005369966 0.0021597105 0.0014855723 0.0028539032 0.001235663 0.00048747755 0.00049981877 0.0015102548 0.0026240484 0.0010335757 0.0008762254 0.0042731417 0.0011508173 0.0011569879 0.008621873 0.0027335766 0.0027042662 0.0010258625 0.00057078066 0.0026055365 0.0156795 0.002087206 0.048053563 0.0012279497 0.011440296 0.00094873004 0.000697278 0.0024697834 0.0004319421 0.0007219604 0.0005568968 0.0011631584 0.0009209623 0.0015966432 0.0006031763 0.001209438 0.0005784939 0.00053684233 0.00072041777 0.00088548136 0.00044891128 0.00045970982 0.00043039946 0.00084691506 0.0031269523 0.00047822163 0.0027860266 0.0014130678 0.0007034486 0.0005568968 0.00045970982 0.001015064 0.00047667898 0.00053684233 0.0004921055 0.0008314886 0.00042268622 0.0008021782 0.00039491852 0.0011415613 0.000728131 0.0017833039 0.0005137026 0.0008746828 0.00071733247 0.00073584425 0.001522596 0.0029495477 0.00228158 0.0052357554 0.00073738693 0.0010011801 0.00049981877 0.0008068062 0.00074510014 0.011767337 0.001266516 0.0023448286 0.009337663 0.004404267 0.0011153363 0.0031007275 0.0034339398 0.0018388393 0.0018002731 0.000979583 0.0013374779 0.00164138 0.0010042654 0.0010937392 0.0010397463 0.0028724151 0.0012078952 0.0029958272 0.0012603455 0.0018897468 0.00084382977 0.0015827593 0.00089165196 0.002938749 0.00068956474 0.0009919242 0.0016907449 0.0015117974 0.0007620693 0.0005568968 0.0008746828 0.002533032 0.0007466428 0.00089782255 0.0011492745 0.0024852098 0.0026934675 0.00057232333 0.0007620693 0.026064621 0.0065824892 0.0011569879 0.0059376615 0.007028315 0.0011616158 0.00072041777 0.0007466428 0.0076176077 0.0010783126 0.0018635218 0.00094718736 0.009672418 0.0010490023 0.002122687 0.0026410175 0.010673598 0.0035064444 0.0034277693 0.004169784 0.0151334 0.0045076245 0.0047683325 0.07253851 0.0 0.0 0.0 0.0047337012 0.0 0.0 8.498566e-06 4.6355813e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002737311 0.0 0.0 0.00026654595 0.00016070016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012029334 0.0 0.0 0.00023100647 0.0001483386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014687067 0.0 0.0 0.008567328 0.005226618 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020327026 0.0 0.0 0.0016070015 0.0011071314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00068683864 4.6355813e-06 2.2405311e-05 8.3440464e-05 0.00018542325 9.425682e-05 7.725969e-06 9.2711625e-06 1.9314923e-05 0.0 0.0 2.3177906e-06 1.004376e-05 3.8629846e-06 6.1807755e-06 0.00044656103 0.0075954003 0.0002565022 0.00026577333 0.00068606605 0.002380371 0.0006080338 0.0030486675 0.0013265489 0.00024259543 0.0001251607 0.00011511694 9.3484225e-05 0.00083672244 0.00047360192 0.00049909763 0.0035987564 0.0154982945 0.00073937525 0.0011310818 0.002575838 0.004638672 0.004370581 0.007978608 0.0036404766 0.00050450576 0.0002765897 0.00036003016 0.0004002052 0.0025572958 0.001355135 0.0013744499 0.011143166 0.017901843 0.001012102 0.0011573501 0.0030502125 0.0060463436 0.0025843368 0.0057357596 0.0027898476 0.0022938403 0.0008784427 0.0010515044 0.0015073366 0.004751471 0.002921189 0.0031429243 0.011213471 0.0201022 0.0015343775 0.0013157326 0.0021694521 0.010042215 0.0039997343 0.0050164717 0.0027149057 0.00603939 0.0015111995 0.0017468416 0.002547252 0.0043056826 0.0019469443 0.0042291954 0.0098923305 0.077936485 0.010559855 0.008004104 0.010943063 0.04678847 0.03353689 0.023045793 0.014826135 0.05538361 0.0056816777 0.0065423506 0.010010539 0.017908024 0.007409977 0.030507535 0.06813069 0.04940603 0.008480024 0.007474875 0.0100908885 0.023834614 0.024854442 0.014493146 0.012060238 0.040495668 0.005244388 0.0055078436 0.0077097444 0.017102206 0.0094125485 0.021488238 0.041395742 0.00029126904 5.948996e-05 0.00010739097 6.4898144e-05 0.00011279915 0.00012361551 5.4081785e-05 8.1895276e-05 0.00016765353 3.6312056e-05 4.1720232e-05 3.6312056e-05 0.00010507318 7.49419e-05 9.116644e-05 0.00013365927 4307.0 18.986534 81775.0 0.0053072455 0.000110058085 0.0003546316 6.114338e-05 0.0029593396 0.0004769184 6.114338e-05 0.00013451545 0.00024457352 0.00034240293 0.0007092632 0.0005258331 0.00029348824 0.014931214 0.0010272088 0.00039131765 0.03630694 0.020874351 0.035781108 0.016484255 0.032247018 0.01781718 0.03279731 0.015322532 0.036160197 0.017389178 0.00075817795 0.00028125956 0.00084377866 0.0005380618 7.337206e-05 8.560073e-05 0.001247325 0.007655151 0.0063344543 0.012742281 0.00535616 0.015664935 0.0036686028 0.0021644756 0.0040110056 0.017242434 0.0021644756 0.0035585447 0.0065056556 0.0054173036 0.003888719 0.0076184655 0.012094161 0.0021033324 0.005405075 0.018722104 0.010296545 0.005747478 0.0056863343 0.0029960256 0.0027636809 0.00434118 0.001247325 0.0020177315 0.0010027514 0.002042189 0.0020055028 0.021938246 0.0002078875 0.029568939 0.013047998 0.027477836 0.025814736 0.04783858 0.011751758 0.011446041 0.01608071 0.033225313 0.008291042 0.009036992 0.019798227 0.012864567 0.033861205 0.029495567 0.016484255 0.005331703 0.034497097 0.027954753 0.035683278 0.011935188 0.011690615 0.007936411 0.013035769 0.0060165087 0.0007704066 0.0002568022 0.00046468969 0.0002568022 0.00024457352 0.00029348824 5.7313457 0.0 1.0 14.0 4.0 648235.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.578484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.15513855 0.0042889286 0.0038027386 0.003711774 0.004076678 0.0038654727 0.0034106497 0.0034524726 0.0038246955 0.0033698725 0.0033343232 0.003249632 0.0035497106 0.003286227 0.003256951 0.003953301 0.0035507563 0.0032172194 0.0031858522 0.0032297662 0.0031848066 0.0033374599 0.0031848066 0.0031534396 0.0033134117 0.003018561 0.0031074344 0.003055156 0.0031900345 0.0030687484 0.0029955583 0.0032318572 0.00358526 0.0031314825 0.0030227432 0.0031461206 0.0033698725 0.003145075 0.0032266295 0.0030321535 0.0031868978 0.003123118 0.0030342445 0.0033207308 0.0032370852 0.0034273788 0.003123118 0.0031335736 0.003207809 0.0031042977 0.0031241635 0.0035298448 0.0032391762 0.0030907053 0.003147166 0.003020652 0.0032360395 0.0032339485 0.0031408926 0.003616627 0.0031952623 0.0031565763 0.0030697938 0.0030697938 0.0034273788 0.0044060326 0.003057247 0.0032234928 0.0033437333 0.004540911 0.0032945916 0.0031973536 0.0031628497 0.0031733054 0.0031816699 0.0030760674 0.003205718 0.004030673 0.0032454496 0.0030582927 0.0034158777 0.0031628497 0.0031774875 0.0033071383 0.0031712141 0.004058903 0.003392875 0.0034284245 0.0031503027 0.0035131157 0.0030342445 0.0032140827 0.003147166 0.0035371638 0.0033416422 0.0031743508 0.0031722598 0.003456655 0.0031513483 0.0033050473 0.0034284245 0.003645903 0.0036772701 0.0030980243 0.003352098 0.0032632244 0.0035110244 0.003188989 0.0034106497 0.0031482116 0.0033855562 0.0034723384 0.003416923 0.0031931712 0.0037222297 0.0035423916 0.0043182047 0.0042941566 0.003466065 0.003198399 0.0032600877 0.003154485 0.0031095257 0.003059338 0.0032214015 0.0039679385 0.0032329028 0.0032538143 0.003348961 0.0038853385 0.003103252 0.004166597 0.003227675 0.0038591994 0.0030823408 0.0030739761 0.00335628 0.004533592 0.003176442 0.0058708764 0.0032266295 0.0036208094 0.0030248344 0.0030886142 0.0032653154 0.0031503027 0.0031774875 0.0030969786 0.003152394 0.003205718 0.0031273002 0.003064566 0.003147166 0.0031074344 0.0031241635 0.003103252 0.00319108 0.0032015357 0.0031095257 0.0030415636 0.0031492573 0.003147166 0.0031649407 0.0032412673 0.003055156 0.0031931712 0.0030603837 0.003059338 0.0032391762 0.0030896596 0.0030792041 0.0032370852 0.0031314825 0.003167032 0.003196308 0.0030687484 0.0031273002 0.0030122874 0.003071885 0.0030070597 0.0031482116 0.003071885 0.0035329815 0.0032140827 0.003167032 0.003220356 0.003161804 0.0030823408 0.003207809 0.0030980243 0.0031712141 0.0031262548 0.0037368676 0.0034901132 0.0031848066 0.003519389 0.0033374599 0.0030771128 0.003234994 0.0033803282 0.003495341 0.0031325282 0.0032266295 0.0030697938 0.003799602 0.0031534396 0.0031126624 0.003103252 0.0033071383 0.0031461206 0.003167032 0.0031053433 0.0032684521 0.0031534396 0.003047837 0.0031095257 0.0032287205 0.0030677028 0.0031408926 0.0032820445 0.0032412673 0.003093842 0.0031116167 0.0031346192 0.0034838396 0.003123118 0.003062475 0.0030771128 0.0034106497 0.003407513 0.0030363356 0.0031022066 0.004122683 0.0032820445 0.0030959332 0.0034859309 0.0035695764 0.0030394723 0.0031607584 0.0031116167 0.0035967613 0.003115799 0.0030279711 0.0031774875 0.0033803282 0.0031210268 0.0032370852 0.0032224471 0.0036281284 0.0032402219 0.0031994446 0.0030258799 0.0034869765 0.0031419382 0.003354189 0.0062472816 0.028932104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.80349e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008718934 3.7157522e-05 3.0877378e-05 1.5700361e-06 2.7737306e-05 1.6747052e-05 1.9363779e-05 1.4653671e-05 8.896872e-06 2.616727e-06 1.0466908e-05 7.850181e-06 2.0933815e-06 5.7567995e-06 8.896872e-06 5.233454e-06 0.00084415614 1.5177016e-05 4.7101084e-06 1.4130325e-05 1.360698e-05 2.1457161e-05 1.5177016e-05 2.1457161e-05 3.8204213e-05 7.3268357e-06 4.7101084e-06 5.7567995e-06 1.7793744e-05 5.7567995e-06 2.8783996e-05 1.360698e-05 0.006841171 0.00014391998 0.00054898934 9.420217e-05 0.00045740386 0.0002109082 0.0011199592 0.00064266816 0.00011408929 0.00014025657 7.1174974e-05 7.169832e-05 7.1174974e-05 5.5997956e-05 6.332479e-05 7.1174974e-05 0.0021896772 2.8783996e-05 0.00013397641 5.8614685e-05 0.0002260852 0.00013188303 0.00082740904 0.0004589739 7.3268355e-05 1.3083635e-05 8.896872e-06 1.6747052e-05 4.3437667e-05 1.4653671e-05 2.8783996e-05 3.297076e-05 0.0013685483 2.7737306e-05 7.169832e-05 3.0354033e-05 0.00027684972 0.00013920988 0.0005557928 0.00039146235 7.274501e-05 3.977425e-05 1.9887126e-05 1.9887126e-05 2.5120578e-05 2.3027198e-05 1.1513599e-05 0.0001418266 0.0023686613 0.00010100566 8.739868e-05 8.164188e-05 0.00057096983 0.00019939459 0.0006217343 0.00047310424 0.0002883633 0.00016066704 6.437148e-05 5.756799e-05 0.00010519243 6.332479e-05 5.3904576e-05 6.1754756e-05 0.0010084866 2.5120578e-05 4.5007702e-05 2.9830688e-05 0.00012664958 7.797846e-05 0.0001418266 0.00014549002 7.797846e-05 9.629555e-05 2.1457161e-05 3.977425e-05 6.541817e-05 3.7680868e-05 3.4017452e-05 0.0001706106 0.0029521913 0.00025853261 0.00020253466 0.00021143154 0.0005379991 0.00027841976 0.00014549002 0.00051863526 0.0006332479 0.00014444333 0.00015124682 0.00020986151 0.00036006162 0.00018997438 0.00034436127 0.00036424838 0.005044003 0.0006573218 0.00041553625 0.0006342946 0.0015475323 0.0009875528 0.00035587486 0.0017029659 0.0029040435 0.00023707547 0.00025329916 0.0005662597 0.0013062701 0.0005306722 0.0012382352 0.0019834791 0.0069196727 0.0011806672 0.00085148297 0.0012492255 0.0024293694 0.0023749415 0.0011168191 0.0022247413 0.0048126844 0.000522822 0.00072012324 0.0008331659 0.0024508266 0.0010247102 0.0020243 0.003562412 0.14952292 0.048597854 0.04887889 0.04882708 0.048459165 0.04884016 0.048785735 0.048866328 0.048681587 0.04894169 0.04900449 0.048642337 0.048636056 0.048707232 0.04878835 0.048849057 2616.0 6.407492 16762.0 0.012051068 0.008411884 0.0090681305 0.0092471065 0.008232907 0.007994273 0.008650519 0.008173249 0.008829495 0.007695979 0.0066221217 0.008650519 0.007874955 0.007934614 0.0092471065 0.008292567 0.008411884 0.008292567 0.008889154 0.008531202 0.00859086 0.007874955 0.0075170025 0.0076363203 0.0075766617 0.0094260825 0.0068010977 0.008829495 0.007457344 0.007815297 0.007457344 0.008471543 0.0076363203 0.010380623 0.007994273 0.013303902 0.012289703 0.009724377 0.011514139 0.012468679 0.009903353 0.010559599 0.00859086 0.01002267 0.009306765 0.008829495 0.01049994 0.007994273 0.012647656 0.008710178 0.0090681305 0.015093665 0.011812433 0.008829495 0.010141988 0.014139124 0.009485741 0.008650519 0.007934614 0.008889154 0.008053931 0.008531202 0.009366424 0.010678916 0.010440282 0.018434554 0.008531202 0.013960148 0.013303902 0.032275386 0.0090681305 0.009485741 0.010141988 0.017718649 0.010320964 0.008829495 0.016585134 0.010917552 0.016525473 0.017897626 0.012230044 0.008948813 0.020224316 0.014198783 0.026130533 0.013661854 0.010201647 0.007874955 0.010559599 0.009724377 0.009485741 0.0075766617 0.008889154 0.008173249 0.009306765 0.008769836 6.5056777 0.0 0.0 0.0 11.0 956416.0 8626176.0 0.0 0.0 130.0 0.0 0.0 0.0 0.0 0.0 1452564100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 79360.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 520192.0 0.0 0.0 0.0 0.0 0.0 19968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 331264.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.4220486 0.0 0.0 0.0 0.0 0.0 4.7632446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.694109 -3.5285578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4048996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 519912.0 0.0 0.0 0.0 0.0 0.0 19926.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 331264.0 -7667104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -78870.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 102660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 101848.0 0.0 0.0 540.0 86016.0 0.0 0.0 0.0 0.0


Input: 0.011141286 0.0040975697 0.004251546 0.004055376 0.003960191 0.003988187 0.0038418092 0.00409437 0.003934395 0.0039449935 0.003910199 0.0038856023 0.003993386 0.0038930012 0.0038440088 0.0038656055 0.004857253 0.003829611 0.0037882174 0.0038258117 0.0038578066 0.0039675897 0.0038512077 0.0038266114 0.003911998 0.0038566068 0.0039195972 0.003824012 0.0038592066 0.00383581 0.0038330106 0.0038146132 0.0040869713 0.0038078143 0.0038328106 0.0038766037 0.003881403 0.0039051995 0.0038330106 0.0038898017 0.0038698048 0.0038618061 0.0038106139 0.0038490081 0.0038930012 0.003809214 0.0038738041 0.003829211 0.0038672052 0.0038150132 0.0037972159 0.003952992 0.0038772037 0.003849208 0.0038458086 0.0038282112 0.0039012 0.0039002001 0.003868005 0.003856007 0.0038380097 0.003842209 0.00383581 0.0037918168 0.004252146 0.0040795724 0.003823812 0.0038206123 0.0038490081 0.003990386 0.0038732043 0.0037846179 0.0038664055 0.0038698048 0.0038706048 0.003797016 0.003856007 0.0038678052 0.0037876174 0.0037998157 0.0039611906 0.0038156132 0.0038614061 0.0039033997 0.003823812 0.003913798 0.0038874021 0.0038984003 0.00383741 0.0038016152 0.0038306108 0.003933995 0.003797016 0.0038992004 0.0039047995 0.0038564068 0.0038254117 0.0038722043 0.0038254117 0.0038052148 0.003920997 0.003939394 0.003923197 0.0038174128 0.003908399 0.0038900017 0.003855007 0.003809014 0.003950992 0.0039161975 0.0038956008 0.0039233966 0.0038896017 0.003765221 0.003895201 0.0039151977 0.0040465775 0.003939794 0.0038716046 0.00383481 0.0038870021 0.003888802 0.0038210123 0.0038506077 0.0038196126 0.003849408 0.0038404095 0.0038054148 0.0046192897 0.0038276112 0.00377082 0.003985987 0.0038412092 0.0039245966 0.003842609 0.0037802185 0.0038862024 0.0039927857 0.0038926012 0.0043931245 0.0038256117 0.003933795 0.003829811 0.0037734197 0.003953192 0.0037714199 0.003822812 0.0038846026 0.0038268114 0.003889402 0.003829011 0.0037934165 0.003855607 0.0038832028 0.0038528075 0.0038246117 0.0038324106 0.0038288112 0.0038568068 0.0038052148 0.0038136134 0.003894401 0.0038336103 0.0038460086 0.0038636057 0.00383581 0.0038270114 0.0038246117 0.0038574068 0.003803615 0.0038184128 0.003791217 0.0038266114 0.0038322106 0.0038056148 0.0038076143 0.0038736043 0.0038214123 0.0038434088 0.0038152132 0.0037888172 0.0038084143 0.0038182128 0.0038446088 0.0038804032 0.0038594063 0.0038408092 0.0038458086 0.0038472083 0.0038392094 0.0038450086 0.0039002001 0.003980788 0.0038664055 0.0038874021 0.00402938 0.0038518077 0.0038148132 0.0038932012 0.0038694048 0.003856207 0.0038706048 0.0038404095 0.0038808032 0.0038464083 0.0038148132 0.0037846179 0.0038536072 0.003907999 0.0038190125 0.0038346103 0.00383721 0.0038154132 0.0038246117 0.0037818183 0.003790217 0.0039016 0.0038394094 0.0038670052 0.0038580066 0.003849408 0.0038256117 0.0038082143 0.0038704048 0.0038126137 0.0037980159 0.0037934165 0.003803415 0.0037952163 0.0038174128 0.003764821 0.003824412 0.0041243657 0.0038986003 0.0038570068 0.0038954008 0.003921397 0.0038084143 0.0037660208 0.0038146132 0.004012183 0.0038194126 0.0038408092 0.003855207 0.0038574068 0.00383641 0.0038544072 0.003855607 0.0038694048 0.0038184128 0.003822412 0.0037944163 0.003926796 0.003843209 0.003869205 0.0048260577 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018743119 1.7402896e-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 0.00064030656 0.00013562257 2.4003994e-06 2.1003495e-06 8.701448e-06 1.5002496e-06 2.800466e-06 2.2003662e-06 9.301548e-06 9.0014976e-07 1.700283e-06 6.0009984e-07 2.500416e-06 2.1003495e-06 4.200699e-06 2.4003994e-06 0.00186311 0.00096105994 1.5002496e-06 2.9004827e-06 2.9004827e-06 2.500416e-06 5.600932e-06 1.5002496e-06 0.00041076835 1.5002496e-06 2.9004827e-06 6.5010818e-06 2.800466e-06 1.3002164e-06 1.400233e-06 9.1015145e-06 0.0005161859 5.4008988e-06 5.9009817e-06 7.501248e-06 2.3103845e-05 1.8503079e-05 3.0004992e-07 6.0009984e-07 0.00017272875 1.8103012e-05 7.001165e-07 2.3003828e-05 8.0013314e-07 7.001165e-07 1.5002496e-06 2.4304045e-05 0.0007190196 1.430238e-05 1.2302047e-05 1.3902313e-05 7.651273e-05 1.3902313e-05 4.7207854e-05 2.5804295e-05 6.6010984e-06 2.3003827e-06 1.5002496e-06 4.0306706e-05 2.1003495e-06 1.3002164e-06 3.7006157e-06 4.3407224e-05 0.000691115 5.600932e-06 6.0009985e-05 9.801631e-06 4.4507407e-05 1.760293e-05 0.00018793128 9.711616e-05 3.8806458e-05 5.2708772e-05 2.500416e-06 4.0006657e-06 4.6007654e-06 3.1005159e-06 3.5005826e-06 6.101015e-06 0.0004831804 4.9008154e-06 2.8104676e-05 7.701282e-06 4.4507407e-05 6.141022e-05 0.00017762955 9.891646e-05 5.1408555e-05 3.220536e-05 2.7004494e-06 2.500416e-06 5.2008654e-06 2.7004494e-06 9.501581e-06 1.1601931e-05 0.00083213847 5.6809455e-05 0.00012792129 5.4109005e-05 6.91115e-05 4.3607255e-05 0.00018813131 8.761458e-05 4.120686e-05 2.8204693e-05 1.3802297e-05 1.0101681e-05 1.7302878e-05 8.301381e-06 1.4402396e-05 4.590764e-05 0.0007414234 4.1906973e-05 4.8408056e-05 5.5209188e-05 0.00011671942 4.5707606e-05 0.00017212864 9.151523e-05 2.3403894e-05 9.291546e-05 8.901481e-06 3.7106176e-05 2.7504577e-05 1.1801963e-05 3.1305208e-05 9.2715425e-05 0.00045477567 1.310218e-05 1.790298e-05 5.8509737e-05 5.5809287e-05 2.0003328e-05 6.13102e-05 4.4007324e-05 4.380729e-05 4.4507407e-05 4.9008154e-06 2.2403729e-05 4.4507407e-05 7.801298e-06 3.550591e-05 9.531586e-05 0.00011131852 5.9009817e-06 3.820636e-05 3.0605093e-05 4.1006824e-05 2.140356e-05 4.8308037e-05 2.770461e-05 1.2102014e-05 9.201531e-06 3.8006324e-06 7.701282e-06 1.1701947e-05 7.201198e-06 8.901481e-06 2.4604095e-05 0.0009268542 9.491579e-05 0.0001190198 0.00012652106 0.00029664935 0.00023173857 0.0001664277 0.00018623099 0.00042927143 5.0108338e-05 3.850641e-05 8.911483e-05 0.00020143352 0.00010421734 0.00018803129 0.0004379729 0.0014259373 0.00022083675 0.00024354052 0.00027984657 0.00051088503 0.00054849125 0.00029664935 0.00031795292 0.00095445884 0.00012172025 0.00011171859 0.00018293044 0.0004812801 0.00024804127 0.00046417722 0.00096556067 0.061031554 0.061086964 0.061209086 0.061023254 0.060902633 0.060906135 0.060726505 0.06094114 0.06093114 0.06105886 0.061094567 0.06105086 0.061146375 0.061038457 0.060734008 0.06094804 23014.0 5.7492394 132313.0 0.012417525 0.009749609 0.0104071405 0.0104751615 0.010089711 0.009787398 0.010127501 0.009961228 0.01023331 0.009847861 0.010195522 0.01023331 0.009742051 0.01023331 0.010278657 0.010150175 0.010203079 0.010641433 0.010210637 0.010437372 0.010225752 0.010074596 0.010187963 0.010218195 0.0104751615 0.009832745 0.010082154 0.010346678 0.010255984 0.010928632 0.010187963 0.010044364 0.010837938 0.010701897 0.0099007655 0.010006575 0.010354236 0.010550739 0.010648991 0.00999146 0.010331563 0.0104751615 0.01023331 0.00999146 0.010701897 0.010354236 0.0099007655 0.0104524875 0.009704262 0.009908323 0.009742051 0.010754801 0.010044364 0.010263542 0.010157732 0.010739685 0.010021691 0.010203079 0.010203079 0.010172848 0.010097269 0.01033912 0.010286216 0.010316446 0.009915881 0.012145443 0.010218195 0.011117578 0.010815264 0.013241329 0.010218195 0.010029249 0.010218195 0.011593721 0.010777474 0.00999146 0.011442564 0.010437372 0.011571048 0.01163151 0.010565856 0.009469969 0.011926265 0.011435007 0.01268205 0.010754801 0.01023331 0.010225752 0.010437372 0.010565856 0.009794956 0.01044493 0.009507759 0.009862976 0.010278657 0.00977984 6.5822673 0.0 1.0 0.0 80.0 5000769.0 163840.0 0.0 0.0 122.0 0.0 1.0 0.0 1.0 0.0 1459953500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 66560.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.870893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5126157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4031167 -5.006032 4.143858 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 0.0 0.0 0.0 24.0 -3940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62020.0 -3588.0 45568.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 102400.0 45568.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0


Input: 0.04887443 0.021552851 0.0123187285 0.0017047948 0.0020647931 0.0013349483 0.0013830941 0.0016599317 0.0026458239 0.0015045526 0.017078586 0.0016139745 0.0022869199 0.0017146427 0.0023700804 0.011028644 0.0020155532 0.0022562817 0.0014367108 0.001158779 0.0015505097 0.0018568913 0.01989839 0.0018284416 0.011099768 0.0019039428 0.0027607172 0.0025451558 0.0024302625 0.002506858 0.002342725 0.001731056 0.0024532413 0.0017419982 0.0014279571 0.0013819998 0.008190237 0.0014027901 0.0022912966 0.0021774978 0.0016489895 0.0015647346 0.0026895928 0.0020472857 0.001835007 0.0018875295 0.0019477116 0.0016238225 0.011192776 0.0020823006 0.0016380474 0.0024160377 0.0015680173 0.0014202975 0.0013054045 0.0011576847 0.0014640663 0.0015406618 0.0019444289 0.002133729 0.0015603577 0.0017967093 0.0015734883 0.0014498415 0.0019717845 0.0037991318 0.0014914218 0.0018164052 0.002262847 0.0031710495 0.0020702642 0.0016927583 0.0035310478 0.0015198715 0.0021960996 0.0017627884 0.002028684 0.0025364019 0.0021643671 0.0018743989 0.0023219348 0.0022508106 0.0013535501 0.0021774978 0.0011456483 0.0024707487 0.0018328185 0.0019247329 0.0017398098 0.004274023 0.0013010276 0.0019291099 0.0014782912 0.0023438192 0.0024061897 0.0018743989 0.0023295945 0.0016664971 0.0013513617 0.001357927 0.0016227283 0.0028756103 0.0014564068 0.0008808471 0.0014202975 0.0015351906 0.007236077 0.00090054306 0.0021227868 0.0013655865 0.0023755517 0.0016139745 0.010768219 0.0012025478 0.0020669815 0.010821836 0.003874633 0.002576888 0.0014498415 0.00089397776 0.0011740981 0.0008589627 0.0007495407 0.0009552541 0.0010099651 0.0013185351 0.00088522397 0.0009694789 0.0015242485 0.0012605415 0.0010975027 0.0027333617 0.0012616357 0.0019302041 0.0007167141 0.0012299033 0.0011128217 0.0024083783 0.0009891749 0.0042061815 0.0011544022 0.0026272223 0.0008425494 0.0012911796 0.0011434599 0.00079002685 0.0011565905 0.0010975027 0.0013064987 0.0009060142 0.0012211496 0.001442182 0.0017233965 0.00072546786 0.0017343387 0.00092242745 0.0031426 0.0011500252 0.001547227 0.0030649102 0.0122235315 0.0021643671 0.0008097228 0.00063793024 0.0006948297 0.0010077766 0.009794363 0.0005646175 0.0009793269 0.0008425494 0.00059416145 0.00059416145 0.00071343145 0.0007976864 0.0007703309 0.0006532493 0.00080644013 0.00060619786 0.0014399935 0.00062698807 0.00062808226 0.0006346476 0.000611669 0.0006171401 0.0013513617 0.0005088123 0.00079112104 0.0006237054 0.001129235 0.00058869034 0.00060948054 0.0016358589 0.0015789595 0.0010307552 0.0009957402 0.0031393173 0.002153425 0.01139083 0.0011456483 0.0017146427 0.0013404195 0.0010712413 0.0011609674 0.0010165303 0.01054281 0.0010756183 0.019803194 0.0010263784 0.0009060142 0.00062808226 0.0006992066 0.00083051296 0.0011751923 0.00056571176 0.00062698807 0.0007035835 0.00097166735 0.01935894 0.00072875054 0.0007276563 0.0007714251 0.0006072921 0.0007243736 0.0029259443 0.0012364686 0.00089397776 0.0010526397 0.0007451638 0.001248505 0.0005492984 0.0011204813 0.0012692952 0.0031196212 0.0021906286 0.0018722104 0.0015625461 0.003571534 0.0009640078 0.012747663 0.003616397 0.0038002261 0.002809957 0.002044003 0.0019881977 0.0022519047 0.0014115438 0.0031677668 0.0031218096 0.013182068 0.0034303798 0.0029062484 0.0040179756 0.003660166 0.008127866 0.004221501 0.30703375 0.007961012 2.1920596e-06 2.3016624e-05 8.768238e-06 4.4389206e-05 5.370546e-05 4.986935e-05 6.850186e-05 3.1236847e-05 0.00010083474 8.987444e-05 0.00011234305 0.00013426364 0.0001660485 0.00019454528 0.13461821 0.0012198811 0.00023290631 0.00020002543 5.2061412e-05 0.000118371216 8.494231e-05 8.439429e-05 4.1101117e-05 0.00012659143 0.00016276042 4.0005085e-05 0.00016659652 9.919069e-05 0.00022961824 0.0002066016 0.037338994 0.0014149745 8.1654216e-05 0.00019454528 8.7134365e-05 0.00027126737 0.000114535105 0.00062473695 0.00015508822 0.00013755173 0.00024496263 0.0001770088 0.00084887503 0.0008247624 0.0005376026 0.0007584526 0.05525524 0.005530018 8.439429e-05 0.00018303697 0.00015289614 0.00036388187 0.00064336945 0.0003644299 0.0001994774 0.00013590769 0.0002657872 0.00016385644 0.00032223275 0.00027619948 0.0003803223 0.0010335561 0.02918234 0.0051168147 8.8230394e-05 0.00013426364 0.0001622124 0.0005310264 0.00014138783 7.343399e-05 0.00037703424 0.00013371563 0.00043402778 0.00014631997 0.00028496774 0.00029044788 0.00060610444 0.00081544614 0.022089932 0.0039687236 4.4389206e-05 5.2609426e-05 7.233796e-05 0.0003649779 0.000885592 0.0001918052 0.00022523411 0.00013864777 0.00023674243 5.2609426e-05 0.00027017132 0.00016166439 0.00027345942 0.00032223275 0.007329151 0.0037281453 0.00010193077 0.00010576687 0.00010576687 0.00053650653 8.7134365e-05 0.0005562351 0.00044115196 5.754156e-05 0.00048060904 0.00040059886 0.00028496774 0.0009529979 0.0005107499 0.00041375123 0.010315832 0.0051343516 0.00037374615 0.0012253613 0.00043676785 0.0005715795 0.0039928365 0.0011864522 0.0001731727 0.00017646079 0.0044016554 0.0008954563 0.00017865284 0.00096395815 0.00033264502 0.004530439 0.010218834 0.007857985 0.0005584271 0.0027910396 0.0005924041 0.0015673225 0.0012982473 0.0026688324 0.00049211737 0.00066912617 0.0022611094 0.0015404698 0.00044992022 0.001584859 0.0002356464 0.0024068814 0.011184984 0.011366924 0.0034815385 0.0048099267 0.0027367864 0.003616898 0.0017969408 0.004800062 0.0014522395 0.00076502876 0.0018517423 0.0012555021 0.00082037825 0.0024819593 0.00067734637 0.002024367 0.011056748 0.013237847 0.0060873493 0.0060714567 0.004157241 0.0046564825 0.0022419288 0.005149148 0.0017059703 0.0006121326 0.0015952713 0.00069378683 0.00076502876 0.0015234813 0.0010691771 0.0016785696 0.00936119 0.006238053 0.006123518 0.0058769113 0.0031867065 0.0060259714 0.004776498 0.0043265773 0.0036251184 0.002362492 0.0008066779 0.00025099082 0.0002657872 0.0002471547 0.00039511872 0.0004970495 0.0010110874 0.027731745 0.027880805 0.0025679977 0.009905917 0.0023159108 0.0020358753 0.0015755427 0.018236838 0.0013229079 0.00080393784 0.017296445 0.0002356464 0.034594536 0.017262468 0.008849344 0.009202266 0.007589458 0.0017881725 0.0013881216 0.0018999676 0.0023904408 0.0019975142 0.0013596249 0.0020873887 0.0040635304 0.001437443 0.001175492 0.0007518764 0.0019416166 0.000775989 0.0017925566 0.0034755103 0.013580904 0.004024621 0.003308914 0.004539755 0.0061838 0.005791421 0.002911055 0.0050790017 0.008819751 0.0016621291 0.0023372835 0.0014719679 0.0053634215 0.0021536984 0.0044032997 0.008054723 0.008650963 0.0084202485 0.007403133 0.008165422 0.00633286 0.0069038915 0.0061827037 0.0072442084 0.006831005 0.0063235434 0.0073527154 0.0059563736 0.008801667 0.0073609357 0.007856341 0.008059107 3185.0 10.51617 33494.0 0.02316833 0.018988475 0.01582373 0.0114050275 0.010718337 0.010569057 0.0143309245 0.010180928 0.00818057 0.0064190603 0.012390279 0.01009136 0.00504568 0.008091002 0.0058517945 0.0062697795 0.0071953186 0.004717263 0.009613662 0.010539201 0.0053143846 0.007613304 0.0046575507 0.005135248 0.0070460383 0.0074938796 0.008688123 0.0076730163 0.0043589897 0.005433809 0.0049561113 0.0065384847 0.006389204 0.01406222 0.008926972 0.009285245 0.016241714 0.013106825 0.009046396 0.01077805 0.008568699 0.012479847 0.008598555 0.006777333 0.007344599 0.011225891 0.007882008 0.008001433 0.01038992 0.00886726 0.010897474 0.012897832 0.009046396 0.0106586255 0.009374813 0.010300352 0.004239565 0.048098166 0.0056129456 0.003851436 0.0055532334 0.0049262554 0.0040007164 0.0056129456 0.0063294917 0.01582373 0.009165821 0.014569773 0.010748194 0.03233415 0.012629128 0.008001433 0.010479488 0.016211858 0.004567982 0.0057025137 0.018988475 0.012181286 0.01994387 0.019914014 0.013972652 0.010031647 0.025646385 0.016779125 0.023586314 0.010569057 0.0088971155 0.0069564697 0.007941721 0.008568699 0.006030931 0.007941721 0.0055532334 0.0071953186 0.007314743 0.007882008 6.379591 0.0 9.0 7.0 5.0 913893.0 921600.0 0.0 0.0 184.0 0.0 1.0 0.0 0.0 0.0 1242113900.0 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 7.0 10.0 4.0 0.0 4.0 0.0 73728.0 4096.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -335872.0 0.0 548864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.121733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.313197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.902941 0.0 4.6150737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17962.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12132.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -335602.0 0.0 546568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -2.0 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 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 91516.0 546568.0 110592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 87712.0 0.0 0.0 776.0 77824.0 0.0 0.0 0.0 0.0


Input: 0.2729005 0.02420701 0.0050174203 0.005380344 0.016277129 0.005589025 0.00566161 0.0021956884 0.012747696 0.002349931 0.0031755825 0.0018690571 0.0066868695 0.0031574364 0.0014426218 0.002250127 0.018962763 0.0013881832 0.0010706249 0.0018055455 0.00313929 0.0034477753 0.0010524788 0.00094360166 0.0025858316 0.001850911 0.0010796981 0.0011069173 0.0024860275 0.0019325687 0.0010071133 0.0009980402 0.00803876 0.0008075053 0.0009526748 0.0006169703 0.007131451 0.0038742106 0.0006260434 0.00042643538 0.001660376 0.0007621398 0.0010706249 0.00176018 0.0014789142 0.0012067213 0.0023408579 0.0015877913 0.008791827 0.0032753865 0.0019870074 0.004572839 0.0027763664 0.002250127 0.0015787182 0.0018327647 0.002531393 0.0016875953 0.0026584163 0.004790593 0.002050519 0.0031483632 0.0011795021 0.0015877913 0.0028126587 0.0023590042 0.0018418379 0.0028852436 0.0041282573 0.011150831 0.0038832838 0.0011341366 0.003538506 0.0018146186 0.0009073093 0.0011341366 0.0029215359 0.011922044 0.0025223198 0.0011704289 0.008519635 0.0063965307 0.0041282573 0.0040375264 0.002068665 0.010470349 0.0031483632 0.001950715 0.0014879872 0.0009254555 0.0007167743 0.0014426218 0.0010252595 0.0038469913 0.0026856356 0.0025586123 0.0010161864 0.0039195763 0.00096174784 0.003230021 0.005307759 0.006641504 0.0020323729 0.0016150106 0.0047180085 0.0045365463 0.0041464036 0.0014063293 0.0032663133 0.002449735 0.004028453 0.0041554766 0.002531393 0.00046272774 0.0046091313 0.003710895 0.010270741 0.0046363506 0.0010706249 0.0014063293 0.0015787182 0.0015968643 0.00060789724 0.0006895551 0.0013972563 0.0017964724 0.0016785222 0.00065326266 0.001660376 0.0010978442 0.0018418379 0.011758728 0.00094360166 0.0040012337 0.002132177 0.00030848515 0.0007712129 0.015006895 0.0008982362 0.0425891 0.0008075053 0.0063148728 0.00058067794 0.00047180083 0.012684184 0.0005171663 0.00034477754 0.0010615519 0.00065326266 0.00072584744 0.00058975106 0.00042643538 0.00082565146 0.0006623358 0.00046272774 0.000390143 0.0008982362 0.0005262394 0.00053531246 0.00055345864 0.0017511069 0.0013428178 0.000390143 0.0005171663 0.0011341366 0.0005716049 0.0003719968 0.00041736226 0.0008891631 0.00033570445 0.00058975106 0.0007167743 0.0008619438 0.0004990201 0.00039921608 0.0006260434 0.0008891631 0.0003719968 0.00043550847 0.00043550847 0.0008075053 0.00030848515 0.00048087392 0.00047180083 0.0023771503 0.0006351165 0.000390143 0.00058975106 0.0008075053 0.0006260434 0.00047180083 0.00040828917 0.004509327 0.002549539 0.0035475793 0.0034568484 0.0063965307 0.0006169703 0.0014154025 0.0057160486 0.0013065253 0.0010343326 0.00085287075 0.00068048196 0.018472817 0.0010796981 0.00082565146 0.0007349205 0.0011976482 0.00072584744 0.0007167743 0.0005080932 0.0011976482 0.00047180083 0.00048994704 0.00056253176 0.0012974523 0.0006441896 0.00042643538 0.00068048196 0.0012067213 0.00046272774 0.00042643538 0.00036292372 0.0022229077 0.00088009 0.0005988241 0.0004990201 0.00176018 0.00264027 0.0005171663 0.00033570445 0.01422661 0.0031755825 0.0007167743 0.0030485592 0.0069772084 0.00053531246 0.00065326266 0.00070770126 0.0039467956 0.001370037 0.0007167743 0.0015242796 0.0020051536 0.00046272774 0.0011341366 0.001469841 0.0033026058 0.0006441896 0.0007893591 0.0007439936 0.0077484213 0.0009889671 0.0023136386 0.031338464 0.10376898 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.606427e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016117888 0.00016122495 0.00035008843 0.00016122495 0.00019807636 0.00017504422 0.00060804834 0.0003224499 0.0001197671 2.3032135e-05 1.8425708e-05 0.00015201209 6.448998e-05 6.448998e-05 7.370283e-05 0.0002579599 0.021802219 8.2915685e-05 0.00030402417 0.00036390772 0.00081073114 0.0005435584 0.002805314 0.0011838517 0.00011055425 5.0670697e-05 5.0670697e-05 1.8425708e-05 2.7638562e-05 2.7638562e-05 5.988355e-05 5.988355e-05 0.006734596 0.00070938974 0.00023032134 3.224499e-05 3.6851416e-05 4.1457843e-05 3.6851416e-05 3.224499e-05 2.7638562e-05 0.00020728921 4.1457843e-05 1.8425708e-05 4.1457843e-05 1.3819281e-05 0.0002579599 0.00097195606 0.024602925 0.0029803582 0.0013957473 0.00037312057 0.00069096405 0.00039615273 0.0019899765 0.00085218897 0.00046524912 0.0005527712 0.00018425708 0.00020268279 0.00021189563 0.00014279924 0.000377727 0.0023170328 0.006131154 0.0003593013 3.224499e-05 0.00019807636 0.00031323702 0.00019346992 0.00016583137 0.00020728921 0.0005942291 1.8425708e-05 0.00012437353 0.00011055425 0.00028559848 5.988355e-05 0.00033626915 0.00030402417 0.02563016 0.0020037957 0.00093049824 0.00582713 0.0011239682 0.0008567954 0.0011423939 0.001004201 0.0009397111 0.00087061466 0.0005942291 0.00070017687 0.00185639 0.0004468234 0.0011516067 0.002091318 0.014772811 0.001068691 0.0037312058 0.0023953419 0.006670106 0.0040859007 0.0145609155 0.0075683594 0.0002579599 0.00019807636 0.00016583137 0.0002717792 0.00019346992 0.00014279924 0.00016583137 0.00035469487 0.008775244 0.0024183742 0.0012529481 0.009779444 0.0015846109 0.0015477594 0.0008752211 0.00085218897 0.0027131855 0.00087982754 0.0008337633 0.0009074661 0.001391141 0.0008337633 0.0018425707 0.0012483416 0.030471513 0.005200656 0.0012207031 0.0021005305 0.010691517 0.010912625 0.0018748158 0.001976157 0.021898953 0.0010272332 0.0008936468 0.0012114902 0.016375847 0.0012575545 0.010838922 0.014123305 0.045953713 0.011230469 0.0039983788 0.004500479 0.016283719 0.0148833655 0.0056382664 0.004716981 0.030572856 0.0035193102 0.0020130086 0.0018195387 0.016117888 0.0025657797 0.012847325 0.02145213 0.06645692 0.018444134 0.020493994 0.020682856 0.017960459 0.021991082 0.023276275 0.019581921 0.0341889 0.014579341 0.006227889 0.004878206 0.017048385 0.005642873 0.01171875 0.017582731 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 643.0 17.427683 11206.0 0.046314474 0.000981617 0.0007139033 0.0013385686 0.004551133 0.01026236 0.0017847582 0.0008923791 0.0034802784 0.0017847582 0.001070855 0.0014278066 0.004104944 0.00892379 0.017401392 0.012225593 0.03676602 0.01659825 0.0114224525 0.011868642 0.007942174 0.009191505 0.006692843 0.0074959844 0.008209888 0.005889702 0.01659825 0.0053542745 0.004194182 0.0064251292 0.0036587543 0.0063358913 0.009280742 0.009994646 0.0035695164 0.01320721 0.010351597 0.0074959844 0.004818847 0.0036587543 0.004104944 0.009459218 0.0011600928 0.0014278066 0.0074067465 0.004640371 0.0063358913 0.004997323 0.0074067465 0.0034802784 0.004551133 0.020703195 0.009548456 0.0025878993 0.0063358913 0.004104944 0.005889702 0.0015170445 0.0038372301 0.0016955202 0.0024094235 0.0013385686 0.001963234 0.0107977865 0.0013385686 0.03328574 0.004729609 0.02819918 0.02382652 0.05809388 0.0107977865 0.012314831 0.0136534 0.03872925 0.0014278066 0.004818847 0.020970909 0.019453865 0.030787079 0.035605926 0.016241299 0.00044618954 0.039532393 0.029626986 0.0513118 0.015348921 0.0057112263 0.008745315 0.0064251292 0.010351597 0.0011600928 0.0008923791 0.002052472 0.00044618954 0.0012493307 0.00044618954 5.8579044 1.0 44.0 0.0 2.0 110216.0 98304.0 1.0 2.0 118.0 1.0 1.0 1.0 0.0 0.0 1442320400.0 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 0.0 0.0 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 61440.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 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 -6.148861 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.884479 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0215774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1977553 0.0 3.656833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3700.0 0.0 0.0 0.0 0.0 -263.0 0.0 0.0 0.0 8894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58322.0 0.0 1032.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110.0 74320.0 220.0 71008.0 1032.0 90112.0 0.0 0.0 15912.0 94304.0 3160.0 94208.0 28.0 66176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 628.0 65536.0 0.0 0.0 0.0 0.0


Input: 0.17116271 0.008153492 0.010078201 0.0035008488 0.022672163 0.0035614695 0.0023490542 0.0019853297 0.009547769 0.0018186227 0.002242968 0.0025006062 0.007229025 0.002000485 0.0016670708 0.007274491 0.0071684043 0.0077291466 0.0019247091 0.0013488118 0.003925194 0.006577352 0.00119726 0.0013791223 0.0028491756 0.0018034675 0.0025006062 0.0016973811 0.0038191078 0.0017883123 0.0012881911 0.0014094326 0.0049254363 0.0012578807 0.001530674 0.0011821048 0.029598085 0.0014700533 0.0011669495 0.0014852085 0.0022732783 0.0023187438 0.0010760184 0.0020156403 0.0021217265 0.001530674 0.0024096752 0.0010457081 0.003061348 0.0033038312 0.0016519156 0.0016216052 0.0030310377 0.0019398642 0.0015155189 0.0012275703 0.0021368817 0.0015912949 0.0014700533 0.0018034675 0.0032583657 0.002167192 0.0011517943 0.0007729147 0.008229268 0.0035463143 0.014124637 0.0046829535 0.014761155 0.00762306 0.006122696 0.0026066925 0.0032129001 0.002167192 0.0015003637 0.0028188652 0.0036524006 0.0025915373 0.0025763821 0.0040312805 0.0057438165 0.004258608 0.0050921435 0.0033189864 0.0029401067 0.0037433316 0.003197745 0.0028946411 0.0013488118 0.0010457081 0.0010305529 0.0019095539 0.0026673132 0.0027279342 0.0017428468 0.0013185014 0.0028643308 0.0019247091 0.0010608633 0.0013336566 0.0021065713 0.0032129001 0.0021368817 0.0010911736 0.0019701745 0.0024399855 0.0011366392 0.0010911736 0.002242968 0.00119726 0.0019701745 0.0019247091 0.002076261 0.0010911736 0.002333899 0.0023490542 0.0073199566 0.0043192287 0.0011366392 0.001439743 0.0015609845 0.0021217265 0.000879001 0.0012124152 0.0017428468 0.0026218477 0.0012730359 0.0011669495 0.0037584868 0.0035766247 0.0021823472 0.010699564 0.0033947623 0.012154462 0.0016519156 0.0014094326 0.002561227 0.026597356 0.0019247091 0.01398824 0.0025309166 0.005925679 0.0016519156 0.0014094326 0.0021975024 0.0019853297 0.0015761397 0.001121484 0.0024399855 0.002879486 0.0013791223 0.001682226 0.002076261 0.0012730359 0.0011517943 0.0014245878 0.0017125363 0.0013791223 0.0011063288 0.0021975024 0.0039100386 0.0032129001 0.0018034675 0.0018792434 0.0019247091 0.0013488118 0.0012881911 0.0013942774 0.0021975024 0.0021368817 0.0037433316 0.0016670708 0.0012427255 0.0010911736 0.0016973811 0.0013942774 0.0016973811 0.0013336566 0.0012124152 0.0015003637 0.0024248303 0.0018186227 0.0022278128 0.0016064501 0.0022732783 0.0014852085 0.0025157614 0.0021823472 0.0036675557 0.0030007274 0.0022126576 0.0016367604 0.011229995 0.0027733997 0.0030916587 0.002242968 0.0021368817 0.0014852085 0.0026370028 0.016973812 0.0018337779 0.0031674346 0.0009244665 0.0010305529 0.001121484 0.0010457081 0.0025006062 0.0020307954 0.003834263 0.0023187438 0.0023187438 0.0035463143 0.0037281765 0.0032583657 0.0021065713 0.0017883123 0.0024702959 0.0020156403 0.0014700533 0.0022126576 0.002076261 0.0016216052 0.0022581231 0.0015912949 0.0027582445 0.0014700533 0.0018640882 0.0013488118 0.0018337779 0.0023793648 0.0012578807 0.0011517943 0.009062803 0.0035766247 0.0020307954 0.004152522 0.005774127 0.0014852085 0.0014852085 0.0010911736 0.0029097963 0.0013185014 0.0014700533 0.0012881911 0.0018943986 0.00119726 0.0026673132 0.0015458293 0.0022884335 0.0023490542 0.0013336566 0.0020459506 0.0018034675 0.0012275703 0.006956232 0.053573593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008370535 0.00051153277 0.00048828125 0.00022476439 0.0009920635 0.00064329116 0.00044952877 0.00051928323 0.0013175843 0.0002015129 0.00021701389 0.00023251488 0.00054253475 0.00027126737 0.0003952753 0.0004960318 0.022228424 0.0016353547 0.003107949 0.001844618 0.005053323 0.0017206101 0.0051153274 0.002704923 0.00952536 0.0010230655 0.00034877233 0.0024259053 0.002232143 0.0007207961 0.0016818576 0.017996652 0.009246342 0.0010463169 0.00089905754 0.00081380206 0.0022631448 0.0011470735 0.0005657862 0.00057353673 0.003627232 0.00085255457 0.0007517981 0.0010540675 0.0017981151 0.0010540675 0.0010463169 0.0050068204 0.12409319 0.019577753 0.032234315 0.010850694 0.037667412 0.022910466 0.00795976 0.013687376 0.051951576 0.005812872 0.0068359375 0.0077272444 0.026289683 0.013090588 0.020887587 0.042867992 0.05013796 0.011121962 0.008703807 0.0064949156 0.015950521 0.008696057 0.0050610737 0.0070374506 0.015725756 0.0065724207 0.0078047495 0.007983011 0.012563554 0.008014013 0.008269779 0.010339161 0.034962486 0.01530723 0.012904576 0.011951265 0.023794023 0.010602678 0.010494172 0.010439918 0.015167721 0.0134626115 0.016438803 0.013896639 0.013834636 0.012858073 0.01110646 0.010873946 147.0 12.544218 1844.0 0.05802603 0.0016268981 0.0037960955 0.0010845987 0.0032537961 0.009761388 0.0032537961 0.0037960955 0.00813449 0.00867679 0.0032537961 0.0010845987 0.0010845987 0.0021691974 0.028199567 0.004880694 0.01626898 0.023318872 0.01735358 0.014099783 0.0027114968 0.015726682 0.00054229936 0.009761388 0.0021691974 0.0032537961 0.010303687 0.0010845987 0.004880694 0.0065075923 0.00054229936 0.0027114968 0.0032537961 0.012472885 0.0010845987 0.022234274 0.010845987 0.01789588 0.0065075923 0.01789588 0.0065075923 0.00867679 0.0027114968 0.0037960955 0.0054229936 0.004338395 0.012472885 0.0070498916 0.010303687 0.0032537961 0.012472885 0.014642082 0.009219089 0.012472885 0.0054229936 0.0032537961 0.0032537961 0.0037960955 0.0021691974 0.0021691974 0.0070498916 0.0032537961 0.0010845987 0.0021691974 0.0032537961 0.03308026 0.0021691974 0.014099783 0.01789588 0.05694143 0.010303687 0.009761388 0.011388286 0.036334056 0.004880694 0.0065075923 0.029284164 0.009219089 0.03199566 0.03470716 0.010303687 0.0037960955 0.04121475 0.028741866 0.040130153 0.018980477 0.004880694 0.005965293 0.0037960955 0.0065075923 0.0021691974 0.0032537961 0.0016268981 0.0027114968 0.0010845987 0.00054229936 5.8809733 0.0 1.0 0.0 1.0 65984.0 450560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1452723800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 35840.0 1024.0 4096.0 7.0 1.0 0.0 1.0 5.0 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 27136.0 0.0 0.0 0.0 0.0 0.0 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 -35840.0 -5120.0 93184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.306084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.966198 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9645267 -4.34018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 109824.0 0.0 0.0 -224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35584.0 -4760.0 93008.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4760.0 184320.0 93008.0 356352.0 0.0 0.0 7592.0 30503328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0