Input: 0.14997813 0.01214993 0.0062966417 0.0053902874 0.01149985 0.0035587857 0.0036382305 0.003242715 0.013274117 0.0021646575 0.0020202901 0.002083504 0.00827422 0.0019946627 0.0016111066 0.010837809 0.0073926384 0.0013138292 0.0011173527 0.0011370004 0.0045360425 0.0023748018 0.0016811547 0.0012207165 0.0031325174 0.0013215174 0.0032256301 0.0012036315 0.0023953037 0.0009764023 0.00076540373 0.0014599052 0.017537655 0.00081324147 0.001173733 0.003402459 0.0052612964 0.0014573424 0.000720983 0.0009166052 0.0019246145 0.00091062544 0.0008926863 0.002800216 0.0018656716 0.0020117476 0.0018853192 0.0011899637 0.0042968537 0.0022552074 0.0023730933 0.0067784362 0.0025268574 0.0018776311 0.0021749085 0.0019374283 0.0033349735 0.0027848396 0.0026532859 0.0054834 0.0028079043 0.0032179418 0.0021339047 0.003573308 0.00563631 0.0036587324 0.0024551009 0.0031299547 0.0034443168 0.012376306 0.00486151 0.0027224796 0.0026874556 0.0017435146 0.0012779509 0.0016008556 0.006499952 0.008231508 0.0046966407 0.0046624704 0.011461409 0.0033392448 0.0015564349 0.0042541414 0.0020544599 0.0059472555 0.005614954 0.004325898 0.0016495476 0.0034349202 0.0007423391 0.0019220518 0.0014496542 0.005182706 0.0036664207 0.003291407 0.0015760825 0.0049477885 0.0015265363 0.0028292602 0.003814205 0.0073892213 0.0041208793 0.0013702094 0.005179289 0.0043122303 0.0066229636 0.0010028839 0.0038236019 0.0017845184 0.004033746 0.0048529673 0.0034938632 0.0008909778 0.0065537696 0.005050298 0.01264881 0.010661835 0.001633317 0.0019152178 0.002643889 0.0015854792 0.0008354519 0.00069791835 0.0014043791 0.002549922 0.0017742674 0.0013608127 0.0033708517 0.0017307008 0.0009097712 0.014065148 0.004435241 0.009530814 0.0011686075 0.0010558472 0.002344049 0.011474222 0.0017213041 0.037050325 0.001413776 0.016635573 0.00077138346 0.0007611325 0.0017998947 0.0006150566 0.00055013393 0.00091233396 0.0011933807 0.00083886884 0.0005578222 0.0005159641 0.0012172995 0.0013804603 0.00050144194 0.0005791783 0.0011540854 0.00088499807 0.0005578222 0.0007355052 0.001445383 0.0012634287 0.00058857497 0.0007636953 0.0011651905 0.00081495 0.00046898064 0.0005441542 0.001522265 0.00052621507 0.0007748004 0.0006714368 0.0010942882 0.0004997335 0.0005074217 0.0007192745 0.0017221584 0.0005492797 0.0005134014 0.00059113774 0.0012352386 0.0012275504 0.0017819556 0.0011173527 0.002901017 0.00092429336 0.0007286712 0.00072781695 0.0014880953 0.0011130816 0.0008696217 0.00081238727 0.0073149023 0.003950884 0.0036459188 0.0045394595 0.0047598546 0.0008892693 0.004251579 0.0074208286 0.0036536069 0.0024679145 0.0010250943 0.0010635353 0.011387089 0.0008892693 0.0022381225 0.0015666859 0.0022236004 0.001299307 0.0013625212 0.0010507216 0.0015820622 0.00052194385 0.000950775 0.0008166585 0.0027164998 0.0011139358 0.0007799259 0.0016034184 0.0013855858 0.00077394623 0.0007261085 0.00073208817 0.003207691 0.0009140424 0.0030171943 0.0008260552 0.0022868146 0.0026336382 0.0007218372 0.00078761415 0.020172147 0.0036459188 0.00063299574 0.004115754 0.0057080667 0.00056123914 0.0007423391 0.0008909778 0.003674963 0.0017409518 0.0011071019 0.0010396165 0.0031470396 0.0006868132 0.0027199169 0.0023073165 0.005896855 0.0030556354 0.0022278717 0.002040792 0.0069253664 0.004217409 0.004872615 0.055959046 7.781715e-05 0.0 0.0078030936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.834036e-06 0.0 0.00084743736 4.275668e-06 1.2827003e-06 4.2756676e-07 7.6962015e-06 4.7032345e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008247763 3.8481007e-06 2.5654006e-06 1.710267e-06 2.5654006e-06 2.137834e-06 2.137834e-06 2.5654006e-06 1.6247537e-05 2.5654006e-06 5.558368e-06 1.2827003e-06 2.137834e-06 2.137834e-06 1.2827003e-06 2.137834e-06 1.9240504e-05 4.275668e-06 0.0007952742 4.275668e-06 6.4135015e-06 3.420534e-06 7.6962015e-06 5.985935e-06 3.420534e-06 3.8481007e-06 2.137834e-06 3.8481007e-06 2.9929674e-06 2.137834e-06 6.4135015e-06 4.275668e-06 0.00074567646 6.4135015e-06 3.420534e-06 8.978902e-06 1.7102671e-05 1.197187e-05 3.9336144e-05 1.5819971e-05 2.5654006e-06 8.551335e-07 7.6962015e-06 1.2827003e-06 2.137834e-06 2.5654006e-06 8.123769e-06 1.710267e-06 0.0006751279 4.917018e-05 5.430098e-05 1.0261602e-05 5.985935e-06 7.6962015e-06 2.0095638e-05 1.3682136e-05 3.2495074e-05 8.551335e-07 1.2827003e-06 8.551335e-07 4.2756676e-07 4.2756676e-07 0.0 2.9929674e-06 0.007260511 0.0004271392 0.00023131362 5.430098e-05 0.0005814908 0.00014323487 0.00051949365 0.00027706326 8.209282e-05 9.791279e-05 6.285231e-05 7.696202e-05 4.5749643e-05 4.788748e-05 4.489451e-05 0.00055498164 0.023044566 0.00086454 0.0017072741 0.00042799432 0.0031019968 0.00057336706 0.0011873529 0.0007768888 0.00021506609 0.00044595214 0.00022105202 0.00022575526 0.00020223908 0.0004207257 0.00022746553 0.003135347 0.017395126 0.0010030717 0.0024773218 0.0006922306 0.0019625314 0.000666149 0.0063100304 0.0034992064 0.00019112235 0.00019411532 0.00013468353 0.0001581997 0.00014580027 0.00021335582 0.0007294289 0.0010052095 0.016073946 0.0024533782 0.0046934006 0.0014840843 0.003550942 0.0020014402 0.012891138 0.007239988 0.0002830492 0.00033136425 0.00024371306 0.00011287763 0.00026594652 0.00030186214 0.002100208 0.0020146945 0.008338835 0.00042500137 0.002065575 0.0010479662 0.0031002867 0.0012266891 0.007149344 0.00419443 0.00020822501 0.0006409226 0.0002535471 0.0001671786 0.0001274149 0.00019582557 0.00036214906 0.0002689395 0.008722362 0.001473395 0.00232126 0.017916331 0.0024619293 0.0017987734 0.004496292 0.0030271728 0.0016187677 0.0012463571 0.0012647425 0.0012549085 0.0015490744 0.0013596623 0.0013203262 0.0015837073 0.016114136 0.0023263907 0.0023447762 0.003074205 0.0040122867 0.0027133387 0.0024726186 0.0027710602 0.008399976 0.0008978902 0.0006717074 0.0011274936 0.0041781827 0.0012638874 0.002778329 0.0070253494 0.09164295 0.014850677 0.010941006 0.013293906 0.03137613 0.030175097 0.012095864 0.01953125 0.064537786 0.004518953 0.0045890743 0.007539285 0.036990084 0.0072652143 0.026042236 0.054557946 0.042841762 0.008681743 0.005896146 0.009298295 0.01681663 0.018041607 0.009134109 0.011702075 0.030399142 0.0031746833 0.0034637183 0.004825946 0.01508541 0.005869637 0.014737799 0.028577708 0.004073001 0.0026701544 0.002579938 0.0028882136 0.0027112009 0.0025508634 0.0028330574 0.0026453556 0.0025230716 0.0024230208 0.0024362754 0.0028022726 0.002499983 0.0026825538 0.0025311953 0.0029326805 5021.0 20.75941 104233.0 0.16208878 0.0008058868 0.0013623325 0.00076751126 0.0048641027 0.006063339 0.0008154807 0.002369691 0.0031276084 0.0014774591 0.00091141963 0.0014294897 0.003962277 0.004643443 0.010697188 0.005631614 0.010697188 0.008365872 0.0073585142 0.0071378546 0.0079341475 0.005957806 0.006255217 0.0063703433 0.009382825 0.0073105446 0.01383439 0.006667754 0.009190947 0.009018257 0.006926789 0.009066227 0.015820326 0.0071378546 0.003405831 0.006840444 0.0066773477 0.004288469 0.0046050674 0.0028397916 0.004029434 0.00475857 0.000786699 0.0012184241 0.0043172506 0.0036168967 0.0029357306 0.002187407 0.008634501 0.0018612148 0.004394002 0.008903131 0.0059290244 0.0032811107 0.0061017144 0.005890649 0.0031372022 0.0012759875 0.0013815203 0.0012759875 0.0028301978 0.0009402013 0.0015254286 0.008835973 0.002369691 0.035919525 0.0066197845 0.02039661 0.025174368 0.058532327 0.008548156 0.007790239 0.012203429 0.034969732 0.0029549182 0.003146796 0.025961068 0.011925206 0.031650245 0.039421298 0.021144934 0.0013527386 0.039104696 0.033396333 0.049926605 0.013911141 0.0043172506 0.0040582158 0.007723082 0.0065142517 0.0017269003 0.00058522733 0.002091468 0.00059482123 0.00074832345 0.0010649218 5.482963 5.0 31.0 2.0 9.0 1170624.0 1523712.0 1.0 0.0 367.0 1.0 1.0 1.0 1.0 0.0 1539277200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 803840.0 1024.0 4096.0 8.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 -512.0 0.0 -41984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -804352.0 0.0 68096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 -0.9975847 0.0 -6.650747 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.722845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.770777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.75882 0.0 6.0400863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 -40.0 0.0 -41888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 228884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -352964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -804142.0 0.0 67912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 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 1.0 2.0 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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 2.0 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 -1.0 0.0 -1.0 1.0 -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 -1.0 0.0 2.0 0.0 -2.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 -2.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 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 -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 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -2.0 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 1.0 1.0 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 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 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 -2.0 0.0 0.0 1.0 2.0 0.0 -2.0 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 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 400.0 1031132.0 67912.0 1409024.0 0.0 0.0 5824.0 1164800.0 41888.0 1478656.0 84.0 969824.0 0.0 0.0 0.0 0.0 24.0 970004.0 64.0 969912.0 0.0 0.0 1544.0 811008.0 0.0 0.0 0.0 0.0


Input: 0.035253536 0.0050643687 0.004346199 0.004393292 0.004374083 0.0041708387 0.005529723 0.005143064 0.005589829 0.0038442854 0.003928557 0.00495717 0.0042309444 0.0036645879 0.0048474926 0.003876507 0.0044837603 0.0037823208 0.0036193538 0.003531364 0.0038969554 0.0037352277 0.0034030972 0.003687515 0.0051040263 0.003421067 0.0034247849 0.0033113896 0.0035474747 0.0034749762 0.0045531606 0.0036261699 0.0060124276 0.0036992882 0.0037761242 0.003431601 0.0049726614 0.0033646792 0.0033634398 0.0054696174 0.004934243 0.0044819014 0.004688863 0.0034799334 0.0033336969 0.0043418612 0.003413631 0.0032816466 0.0038436658 0.0033113896 0.0034991424 0.0031893193 0.0036466182 0.0032413695 0.0032295962 0.0054138494 0.003431601 0.00318808 0.0031527602 0.003387606 0.0031075259 0.0030920347 0.003175687 0.00329342 0.004707453 0.003880225 0.004848732 0.003613777 0.0037395651 0.0037916154 0.0034241653 0.004724183 0.0038108244 0.0034427545 0.0034167294 0.003249425 0.00472914 0.003529505 0.0031694905 0.004286093 0.0039892825 0.0031831227 0.0044410047 0.0034811727 0.0035115352 0.0036559128 0.0034371777 0.003461344 0.0035288855 0.004219791 0.0034099133 0.0030926545 0.0032339338 0.0034365582 0.003179405 0.0044856193 0.0036007643 0.004797921 0.004417458 0.0032636768 0.0035821751 0.0035827947 0.0033820292 0.0054157083 0.0035623463 0.0036912328 0.003323163 0.0030523774 0.003471878 0.0032581 0.00429105 0.0033163468 0.003543757 0.00303007 0.0033975204 0.00429105 0.0038015298 0.005107744 0.0055328216 0.0033609613 0.003302095 0.0029612894 0.0027524687 0.0030331684 0.0033566237 0.0043548737 0.0042482945 0.004452778 0.0045891004 0.0039366125 0.0033969008 0.0072126826 0.005915143 0.0035059585 0.0034588655 0.0033045735 0.0049900115 0.0060105687 0.0034359384 0.0039297966 0.003186221 0.0047477297 0.0030238738 0.0032010926 0.0040611615 0.0032810268 0.0031236368 0.0030257327 0.0030666294 0.0030406043 0.0030449417 0.0031490424 0.0033027146 0.004266884 0.0031062867 0.0030096218 0.0041386173 0.0031044278 0.004027081 0.0029315464 0.0038194996 0.005626388 0.003049899 0.0031694905 0.0032748305 0.0031955158 0.0033609613 0.0042055394 0.0034483315 0.0030517578 0.003112483 0.0031081457 0.003351047 0.0030926545 0.0030728257 0.0032159642 0.0035914697 0.003112483 0.002965627 0.0029470376 0.0033622007 0.0042414786 0.0030722062 0.003121158 0.0034941852 0.004049388 0.0033014752 0.0042228894 0.0031533798 0.0030176772 0.0030610524 0.0053909225 0.003745142 0.004325131 0.004399488 0.0035003817 0.0035660642 0.0032692538 0.003266775 0.0044800425 0.0036918523 0.003277309 0.0027586652 0.004290431 0.0030536167 0.0041051563 0.002912957 0.0040754136 0.00465912 0.0029984682 0.003102569 0.0032357927 0.0032890823 0.004252632 0.0067621996 0.0033516665 0.00343346 0.0030083826 0.0031639137 0.0031645335 0.0033169664 0.0043350453 0.002948277 0.0032079087 0.0047167474 0.004457735 0.0029897932 0.00425697 0.0035586285 0.00418633 0.002912957 0.0032872234 0.0032872234 0.004214834 0.003193657 0.004007872 0.0034743566 0.0032364123 0.0030579544 0.0031645335 0.0038188798 0.0032723518 0.0031100046 0.002932166 0.0033064324 0.0031248762 0.0031416065 0.003480553 0.0036441397 0.0030046648 0.0044069244 0.0032996163 0.0033900847 0.004724183 0.0062472736 0.011646871 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010410466 1.6431051e-05 1.0540674e-05 8.680556e-06 9.300596e-06 8.990575e-06 9.300596e-06 3.3792163e-05 3.503224e-05 9.610615e-06 9.610615e-06 7.130456e-06 7.130456e-06 1.0230655e-05 3.90625e-05 1.3950893e-05 0.00096943206 2.2321428e-05 9.300596e-06 1.3330853e-05 4.154266e-05 2.077133e-05 6.200397e-06 3.2242064e-05 5.1463292e-05 8.370535e-06 5.580357e-06 7.7504965e-06 1.3950893e-05 1.2090773e-05 3.3172124e-05 2.2321428e-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 0.0061597843 0.00012090774 0.00021856399 0.00019717262 0.0002799479 0.00020833334 0.00058624754 0.00032304067 0.0002312748 0.00017578126 0.0002517361 0.00015687004 0.00020399306 0.00012369792 0.00021360366 0.0007077753 0.0027427454 0.00052920385 0.0002687872 9.424603e-05 0.000113777285 8.8045635e-05 6.293403e-05 0.00011501736 0.00016214038 0.00020368304 0.00032800098 0.00017082093 0.00024119543 0.00036458333 0.0009387401 0.003734809 0.0050334823 0.0005828373 0.0006104291 0.0003921751 0.0006513517 0.0004408482 0.00064267113 0.0004703001 0.0005757068 0.000406126 0.0005391245 0.00024770584 0.00035280257 0.0004247272 0.0014512029 0.0049562873 0.002998822 0.0002734375 0.0003016493 0.00023034474 0.00036303324 0.00033358135 0.00055865577 0.00042720733 0.00038938492 0.00026661708 0.00027405753 0.00016338045 0.0002123636 0.00020399306 0.0004935516 0.0013988095 0.003454861 0.00035807292 0.00049727183 0.0003218006 0.00048828125 0.0005859375 0.00061786955 0.00047061013 0.0007645089 0.00028180802 0.0003109499 0.0004346478 0.00036489335 0.00030226936 0.00030443948 0.0006005084 0.003171193 0.00056950643 0.0007263765 0.00051153277 0.0007201761 0.0006550719 0.00084914436 0.0007018849 0.00084790424 0.0005369544 0.00058624754 0.0005121528 0.00057384674 0.0006383309 0.0005109127 0.0005871776 0.0774352 0.05813833 0.06341611 0.05344742 0.059710443 0.055414807 0.0566924 0.05796193 0.064809024 0.051801525 0.052861482 0.054419644 0.056768045 0.056161333 0.05403119 0.05455016 7763.0 6.032719 46832.0 0.01665528 0.009971814 0.010591049 0.009309874 0.016121455 0.0082635805 0.008092757 0.016527161 0.012854459 0.01469081 0.010270755 0.008861463 0.008647933 0.008541169 0.010035872 0.008071404 0.009993167 0.008519815 0.00898958 0.00862658 0.009117697 0.009245815 0.008733344 0.015907926 0.009160403 0.008413051 0.007985992 0.009160403 0.00796464 0.00832764 0.008199521 0.0072599933 0.011978989 0.014434575 0.0147762215 0.011551931 0.010035872 0.01067646 0.009224462 0.009993167 0.01067646 0.009544755 0.008306286 0.008562521 0.011978989 0.011274342 0.0077297576 0.015096515 0.011317048 0.009010932 0.010889989 0.011615989 0.010206697 0.010569696 0.009074992 0.0098223435 0.008776051 0.009203109 0.009267168 0.009416638 0.009053638 0.008071404 0.008413051 0.012982576 0.008904168 0.01674069 0.013495046 0.0096088145 0.012149812 0.016313631 0.00832764 0.01703963 0.009587461 0.011808165 0.008220875 0.0073881107 0.013345576 0.010761872 0.012213871 0.011850871 0.010996754 0.007900581 0.0124274 0.0132174585 0.01432781 0.012406047 0.0096088145 0.00832764 0.0082635805 0.0077297576 0.006491288 0.0077297576 0.0084771095 0.008946874 0.006832935 0.01191493 6.5443354 5.0 0.0 0.0 49.0 1613824.0 9031680.0 0.0 0.0 11.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 823296.0 4096.0 4096.0 12.0 1.0 0.0 11.0 12.0 0.0 84992.0 0.0 0.0 -84992.0 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 0.0 0.0 0.0 0.0 84992.0 0.0 0.0 0.0 0.0 0.0 -390656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 84992.0 0.0 0.0 0.0 0.0 -784384.0 0.0 10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.6265264 0.0 0.0 -7.6265264 0.0 0.0 0.0 0.0 7.6265264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.6265264 0.0 0.0 0.0 0.0 0.0 -7.9173284 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.6265125 0.0 0.0 0.0 0.0 -31.21031 0.0 4.60208 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 -86016.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 -393216.0 0.0 0.0 0.0 0.0 0.0 7405568.0 0.0 86016.0 0.0 0.0 0.0 0.0 -786432.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 644.0 7812564.0 9684.0 7802880.0 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 7800008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.00055803574 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.0 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.0016741072 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.00055803574 0.0008370536 0.0008370536 0.00027901787 0.0 0.001953125 0.0025111607 0.0008370536 0.0013950893 0.0033482143 0.0011160715 0.002232143 0.001953125 0.0013950893 0.002232143 0.0030691964 0.0016741072 0.0 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.0033482143 0.00027901787 0.0013950893 0.001953125 0.0075334823 0.00055803574 0.00027901787 0.001953125 0.0011160715 0.0033482143 0.00027901787 0.005859375 0.0008370536 0.0025111607 0.002232143 0.0011160715 0.0 0.004464286 0.0025111607 0.0061383927 0.0066964286 0.00055803574 0.00027901787 0.0011160715 0.00027901787 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.00055803574 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.01953125 0.02368164 0.0061035156 0.024902344 0.03515625 0.033935547 0.03491211 0.028076172 0.0009765625 0.00390625 0.008544922 0.014892578 0.001953125 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.022988506 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.007662835 0.007662835 0.007662835 0.0038314175 0.0 0.007662835 0.019157087 0.011494253 0.011494253 0.007662835 0.011494253 0.022988506 0.019157087 0.019157087 0.0 0.01532567 0.011494253 0.0 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.04597701 0.0038314175 0.01532567 0.026819924 0.10344828 0.0038314175 0.0038314175 0.0038314175 0.011494253 0.0 0.0038314175 0.057471264 0.011494253 0.03448276 0.03065134 0.007662835 0.0 0.06130268 0.03065134 0.057471264 0.022988506 0.0 0.0 0.01532567 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 5.281326 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1288815500.0 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 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9240067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1712968 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.14785929 0.008551283 0.0063217725 0.00516534 0.011218623 0.00467662 0.0043177577 0.0037825345 0.010076229 0.003561426 0.003946611 0.0038053473 0.009050532 0.006699061 0.0028902038 0.013135775 0.011011554 0.0039720563 0.0022137172 0.0017618486 0.004525705 0.0042958222 0.0020680663 0.0017899259 0.0034052462 0.0022224912 0.001546882 0.001582856 0.0024199097 0.0014512439 0.0015644303 0.0019364541 0.004017682 0.0012143418 0.0018232677 0.0012933091 0.0044212923 0.0018250225 0.0011423939 0.001125723 0.00246729 0.0013845604 0.0011248456 0.0024769416 0.0018109839 0.0011064198 0.0015960173 0.0013573605 0.0040527782 0.0028761653 0.004139642 0.0058725365 0.003537736 0.0028279074 0.003017429 0.0027349014 0.0034403428 0.003114822 0.0027419208 0.0050284634 0.003407001 0.0028191332 0.0026155731 0.0043940926 0.011843343 0.0044300663 0.0031367573 0.0024944898 0.0029911066 0.016777046 0.0040808553 0.0025129155 0.002564683 0.010428073 0.006356869 0.0044414727 0.0033043434 0.008581115 0.0029235457 0.0011441486 0.010665853 0.002943726 0.0020513954 0.00264716 0.0024225418 0.0042633577 0.004875793 0.0028191332 0.002452374 0.0022689942 0.0015811012 0.0021321175 0.0025102834 0.0042440547 0.003235028 0.0037570896 0.0017451778 0.004139642 0.0017276295 0.0041124425 0.0062735146 0.005635634 0.0027392886 0.0013512186 0.0049889795 0.0034324462 0.004913522 0.00096252386 0.0034692974 0.0015881205 0.003161325 0.004788929 0.002621715 0.0007958151 0.005907633 0.0046546846 0.008953139 0.00742907 0.001582856 0.0013433219 0.0030402418 0.0015854882 0.001074833 0.0009976204 0.0016969199 0.002183885 0.0018802995 0.0025041413 0.0029112617 0.0013064704 0.0011371294 0.00992005 0.0032192343 0.0057374146 0.0012783931 0.0014126375 0.0020540277 0.008080989 0.0014161472 0.033366323 0.0017162231 0.013269141 0.000960769 0.0009572594 0.0026734825 0.0005536486 0.00069666724 0.0011704712 0.0011687163 0.00076335075 0.0007177252 0.00058962265 0.0011941614 0.0007677378 0.0005492616 0.0005536486 0.0012564578 0.0006633255 0.0005571583 0.00063173857 0.0017872936 0.0020443762 0.0008975952 0.0014608954 0.0022716266 0.0006299837 0.0008151182 0.00084144063 0.0020259505 0.00081336335 0.0007738797 0.0007054414 0.001238032 0.0006054161 0.00071948 0.0007203574 0.001737281 0.0006984221 0.000827402 0.0007738797 0.0013749087 0.0009537497 0.0011090521 0.00081336335 0.0025085285 0.00073527347 0.00075369916 0.0006361256 0.0016609459 0.0006413901 0.0007168478 0.00056680985 0.0058049755 0.003017429 0.0029402166 0.0028919587 0.0040404946 0.0013082252 0.0054592737 0.008529347 0.0038808049 0.0014679147 0.00107922 0.0012134644 0.015986495 0.0008467051 0.0021303627 0.0015477594 0.00251818 0.00080634403 0.0010002527 0.00077037007 0.0017100811 0.0005150424 0.00095550454 0.00065016426 0.0044221696 0.0007905506 0.00054136483 0.00072825415 0.0011423939 0.00043870733 0.0005334681 0.00050626823 0.0017899259 0.00049398444 0.00058962265 0.0004738039 0.0016951651 0.001881177 0.0005913775 0.00040361073 0.012809376 0.0035298392 0.000647532 0.0019978732 0.00560317 0.00043695248 0.000493107 0.0005150424 0.003336808 0.0010669362 0.0008818017 0.0034973747 0.0028489653 0.00040887523 0.0028954684 0.0015328433 0.0039703012 0.001521437 0.0009976204 0.0008326665 0.0066034226 0.0016521717 0.0037228703 0.08619985 0.0026714955 1.3173055e-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 1.3173055e-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 0.0008417582 2.634611e-06 7.903833e-06 7.0256297e-06 8.782037e-06 4.3910186e-06 1.7124972e-05 5.269222e-06 4.3910185e-07 0.0 8.782037e-07 8.782037e-07 8.782037e-07 0.0 4.3910185e-07 8.782037e-07 0.0033727412 1.0538444e-05 8.782037e-07 0.0 4.3910185e-07 0.0 0.0 0.0 4.3910185e-07 0.0 0.0 0.0 4.3910185e-07 0.0 0.0 0.0011109277 0.0026793994 0.00024106691 5.708324e-06 9.2211385e-06 6.5865274e-06 8.342935e-06 7.0256297e-06 6.5865274e-06 7.0256297e-06 6.5865274e-06 6.1474257e-06 7.4647314e-06 9.2211385e-06 3.9519164e-06 6.5865274e-06 0.000586201 0.0030425368 0.0010213509 2.8102519e-05 0.0 4.3910185e-07 0.0 0.0 0.0 4.3910185e-07 0.0 0.0 0.0 4.3910185e-07 0.0 0.0 0.001302376 0.01156726 0.0029933574 0.00040616922 9.308959e-05 0.0006797297 8.035564e-05 0.0002810252 0.00016949332 9.001588e-05 0.00026960854 7.9916535e-05 9.177229e-05 0.00021384259 5.3570424e-05 3.9080063e-05 0.0026758867 0.021629717 0.0018644264 0.0019891313 0.00036533273 0.003074591 0.00018047086 0.00109512 0.0006669957 0.00023360219 0.00047291268 0.00048828125 0.00052999594 0.00065074896 0.00044437108 0.0004531531 0.0036309331 0.011257254 0.001177232 0.0015403692 0.0009287004 0.0026846686 0.0007798449 0.0042263553 0.0023610506 0.00015236835 0.00037674938 0.00017915355 0.00014666002 0.00015939397 0.00016027217 0.00026433932 0.0023825667 0.009288321 0.0012474883 0.0023044064 0.0036717695 0.008306489 0.0035475038 0.012621983 0.0058264425 0.0003820186 0.00025116626 0.00021120798 0.00017212793 0.00018574008 0.00020154775 0.00017739715 0.0028633832 0.010484874 0.0015372955 0.0019430256 0.0045995917 0.008271362 0.0033573727 0.009133318 0.0035729718 0.00045710502 0.00022965026 0.00053746067 0.00023052847 0.00035215967 0.000267413 0.00024677525 0.0015416866 0.015467801 0.005044402 0.003496568 0.02556934 0.007520058 0.0028809472 0.004169272 0.0032915075 0.0029735977 0.0019557597 0.0022262463 0.0021331569 0.002651297 0.0020809036 0.0022574225 0.007109059 0.027765287 0.0068012485 0.004368624 0.0045938836 0.009666388 0.007247815 0.0054685744 0.00605741 0.01425588 0.0016931767 0.0025015632 0.002134913 0.007398866 0.0015662763 0.0038948334 0.02138382 0.116689555 0.022133367 0.010955152 0.013466375 0.043504454 0.032935712 0.014688835 0.020361591 0.06557152 0.0070515363 0.010001423 0.008782915 0.047101576 0.010772485 0.02383357 0.071934104 0.006225586 0.002026455 0.0014231291 0.0015320263 0.002681595 0.0021924356 0.0013853663 0.0037257792 0.0035962441 0.0010841425 0.001052088 0.0011785494 0.0023632462 0.0013506772 0.001686151 0.0042663137 0.00178934 0.001655853 0.0017274267 0.0017085453 0.0016615614 0.0016896639 0.0019548815 0.0022315155 0.0010898508 0.0011148796 0.0010744822 0.0011008283 0.0010933636 0.0011289308 0.0010942417 0.0012659306 4316.0 24.848934 107248.0 0.017510816 0.00091376994 0.0009417425 0.00063404447 0.011990899 0.0015105177 0.0012121438 0.0010629569 0.003459272 0.0010909294 0.0006247203 0.0008485007 0.0033940028 0.0016410563 0.00673206 0.0026294196 0.012830076 0.0111051025 0.022741683 0.012876697 0.012671565 0.009380128 0.009454722 0.008792705 0.011589959 0.009352156 0.008028122 0.007897583 0.011608608 0.007328808 0.008289199 0.02409369 0.076868564 0.019776592 0.0069371923 0.0058276146 0.009342832 0.008242578 0.004018723 0.0019114575 0.00479263 0.0023683426 0.0012587648 0.0010816052 0.005892884 0.0033940028 0.0061539607 0.0017249739 0.011776444 0.0030117112 0.0030117112 0.0075712367 0.006163285 0.0086714905 0.015198419 0.001780919 0.009417425 0.0016503804 0.0069558406 0.00052215427 0.0033194092 0.0006153961 0.00064336864 0.015683277 0.002545502 0.037343353 0.011030509 0.037072953 0.034219753 0.051115174 0.009976876 0.007860286 0.010620245 0.029669551 0.0015198418 0.0034965687 0.025063405 0.009025809 0.02386991 0.043506637 0.012941966 0.00080187974 0.031236013 0.03571162 0.045231614 0.012018872 0.0040933164 0.0025361779 0.0048392513 0.005230867 0.0014359242 0.0006153961 0.0031329256 0.0006247203 0.0009603909 0.0008298523 5.7632475 1.0 2.0 0.0 7.0 1139712.0 1167360.0 1.0 4.0 774.0 1.0 1.0 0.0 1.0 0.0 1542128300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 650752.0 1024.0 4096.0 8.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 0.0 0.0 -54272.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 234496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -651264.0 0.0 171520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.533118 0.0 0.0 0.0 0.0 0.0 -3.993173 0.0 0.0 6.0202 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.184834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.201367 0.0 6.282165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -53844.0 0.0 0.0 0.0 0.0 0.0 -1428.0 0.0 0.0 234142.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -650510.0 0.0 171272.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 -2.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 -3.0 0.0 0.0 0.0 2.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 -2.0 0.0 1.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 2.0 -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 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 0.0 0.0 -3.0 1.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 2.0 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 2.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -3.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 2.0 0.0 -2.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 -1.0 1.0 0.0 -2.0 2.0 0.0 0.0 2.0 -1.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 2.0 -1.0 -1.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 2.0 -1.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 1.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 1.0 1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 -1.0 -1.0 1.0 0.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 2.0 -2.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 -1.0 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 1.0 0.0 2.0 0.0 2.0 0.0 0.0 -1.0 2.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 276.0 841104.0 400.0 841380.0 171272.0 937984.0 0.0 0.0 0.0 0.0 53844.0 1110016.0 112.0 763072.0 0.0 0.0 0.0 0.0 24.0 763276.0 64.0 763184.0 0.0 0.0 3172.0 655360.0 0.0 0.0 0.0 0.0


Input: 0.25438988 0.02204241 0.014462425 0.008482143 0.01468564 0.004203869 0.013764881 0.0023158481 0.0040829615 0.0012927827 0.017801339 0.0024925596 0.0021298362 0.001515997 0.005812872 0.0021298362 0.0023623512 0.006389509 0.00452939 0.003125 0.0020833334 0.0015997024 0.004175967 0.0020740328 0.005329241 0.0009393601 0.000827753 0.0012462798 0.0034877232 0.0011160715 0.0010044643 0.0011067708 0.0024646576 0.0013113839 0.0008091518 0.00087425596 0.001860119 0.0011904762 0.00053943455 0.0010044643 0.010509673 0.0036179316 0.0065755206 0.0037016368 0.0022693453 0.0023344494 0.004734003 0.0073939734 0.003813244 0.0012462798 0.0007626488 0.0020833334 0.0027250743 0.0009486607 0.0012369792 0.0015531994 0.0012741815 0.000827753 0.0009765625 0.0023065477 0.0011532739 0.0008091518 0.0015718006 0.0006324405 0.0010137649 0.0029389882 0.001422991 0.0052548363 0.0059430804 0.0013857887 0.0017392113 0.0038783483 0.0032180059 0.007375372 0.0004929316 0.0007626488 0.008147322 0.0014973958 0.0009393601 0.0043247766 0.004901414 0.0010788691 0.0021763393 0.007942708 0.0020089287 0.0014508929 0.006938244 0.0014694941 0.0028738838 0.00069754466 0.0036365327 0.0013950893 0.00028831846 0.00045572917 0.00034412203 0.018787201 0.00078125 0.031529017 0.004966518 0.008175223 0.019568453 0.047870163 0.0030505953 0.010053944 0.004594494 0.020340402 0.0017671131 0.0020368304 0.011551339 0.0041015623 0.023093378 0.024981398 0.010807292 0.0007719494 0.03563058 0.018387277 0.025120908 0.0067057293 0.0075706844 0.010816593 0.00071614585 0.002687872 0.00053013396 0.0014601934 0.00042782738 0.0012834822 0.0059430804 0.0002511161 0.0054501486 0.0024739583 0.00018601191 0.00052083336 0.0005022322 0.00037202382 0.0010974703 0.00029761906 0.00018601191 0.00027901787 0.0002046131 0.00047433036 0.0005022322 0.0003999256 0.0014880953 0.00030691965 0.0015345982 0.0028738838 0.00026041668 0.00035342263 0.00035342263 0.00030691965 0.00016741072 0.00014880953 0.00070684525 0.00031622025 0.00029761906 0.00017671131 0.0014973958 0.00021391369 0.0001953125 0.00056733633 0.0004092262 0.00015811012 0.00027901787 0.00026971727 0.00031622025 0.0001953125 0.00015811012 0.00029761906 0.00022321429 0.00029761906 0.00021391369 0.0001953125 0.00033482144 0.0001953125 0.00018601191 0.00013950893 0.0004185268 0.0002511161 0.00013020834 0.0016834077 0.000390625 0.00013950893 0.0004092262 0.00016741072 0.00018601191 0.0002046131 0.00016741072 0.00017671131 0.00022321429 0.00023251488 0.00023251488 0.00027901787 0.0004185268 0.00013950893 0.00022321429 0.00033482144 0.0005766369 0.00017671131 0.0014136905 0.00012090774 0.00032552084 0.00028831846 0.00012090774 0.0002046131 0.00033482144 0.0001953125 0.00035342263 0.0002046131 0.00048363095 0.0004929316 0.00032552084 0.00053943455 0.00015811012 0.00015811012 0.0002046131 0.00015811012 0.00021391369 0.0013113839 0.00026041668 0.00018601191 0.00026041668 0.00033482144 0.0001953125 0.00013020834 0.0019438243 0.00014880953 0.0002046131 0.00011160714 0.00017671131 6.510417e-05 0.00028831846 9.3005954e-05 0.00013020834 0.00012090774 0.00016741072 0.00013020834 0.00018601191 0.00014880953 9.3005954e-05 0.0013485863 0.0002046131 9.3005954e-05 0.00012090774 7.4404765e-05 0.00026041668 0.00021391369 0.00014880953 0.00022321429 0.00013020834 0.00013020834 0.00016741072 0.00013020834 0.00014880953 0.00013950893 0.004938616 0.00033482144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076481747 2.8170072e-05 0.00016432542 0.00013146034 0.00020658053 0.00012207031 0.0008779672 0.000384991 9.390024e-06 0.0 4.695012e-06 1.4085036e-05 4.695012e-06 9.390024e-06 4.695012e-06 4.695012e-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 0.038607083 0.0020986705 0.0024695764 0.0022958608 0.01950308 0.024507962 0.098299466 0.048724834 0.00052114634 0.0010188177 0.000107985274 0.0002676157 0.00017371544 0.00037090594 0.0010375977 0.00038029597 0.1850539 0.016592173 0.024399977 0.0061457707 0.008845403 0.009544959 0.045006387 0.035555325 0.005042443 0.0012676532 0.00049767125 0.0007371169 0.00056340144 0.001572829 0.0015070989 0.0038217397 0.045649603 0.0068265474 0.0077139046 0.002788837 0.003854605 0.00386869 0.015728291 0.012075571 0.0019437349 0.0007324219 0.00061974156 0.0004225511 0.0005352314 0.00095308747 0.0007230319 0.0013333834 0.02717473 0.008282001 0.007911095 0.0034367489 0.010807917 0.009897085 0.047405537 0.024503268 0.0020658053 0.00039907603 0.0004695012 0.00036621094 0.00034743088 0.0006338266 0.00025353066 0.00027700572 0.05573449 0.0064368616 0.006587102 0.008183406 0.0062819263 0.007817195 0.012563853 0.008399377 0.0042020357 0.006291316 0.0017934946 0.0022723859 0.003497784 0.0017136794 0.0014695388 0.0013709435 0.0040377104 0.0006150466 0.0010469877 0.0004225511 0.00048358625 0.00075120194 0.00018780048 0.00028170072 0.00061035156 0.00017371544 0.00015493539 0.0003192608 0.00012207031 8.920523e-05 0.00017371544 0.00014554537 0.0030517578 0.00069486175 0.0011033278 0.0006901668 0.00075120194 0.00040377103 0.00028170072 0.0002347506 0.0004272461 0.00015493539 0.0002300556 0.00090613734 0.00022066556 9.859525e-05 0.00021597055 0.00015024039 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1198.0 31.284641 37479.0 0.000747085 0.0002668161 0.00018677126 0.00016008965 0.0008804931 0.0002668161 0.00010672643 0.00013340804 0.0032284746 0.0031484298 0.00024013447 0.00010672643 0.0005869954 0.00021345286 0.0059233173 0.009071747 0.001360762 0.0013340805 0.00061367697 0.00050695054 0.004135649 0.0003201793 0.00024013447 0.00040022412 0.00056031375 0.0003201793 0.00048026894 0.0024813896 0.0013073988 0.00010672643 0.0014141252 0.00013340804 0.0002668161 0.0068571735 0.0023212999 0.011499773 0.01227354 0.0025080713 0.0024547079 0.00979215 0.0075242138 0.01608901 0.0005336322 0.0002934977 0.017049547 0.0030150218 0.0010139011 0.009418608 0.009498653 5.3363216e-05 0.0035753355 0.015181835 0.002934977 0.0023479816 0.010219056 0.0005336322 0.00050695054 2.6681608e-05 0.0023212999 0.00013340804 0.0 2.6681608e-05 2.6681608e-05 0.052882947 0.00048026894 0.07473519 0.011633181 0.018703807 0.04663945 0.117719255 0.0061901333 0.02307959 0.010058966 0.047493264 0.0030150218 0.0042690574 0.027989008 0.009365245 0.056378238 0.04415806 0.019050669 0.0002668161 0.08031164 0.03268497 0.060140345 0.013073988 0.016649324 0.025080713 0.0005336322 0.005789909 0.00018677126 2.6681608e-05 8.0044825e-05 0.0 0.0 5.3363216e-05 4.954797 0.0 0.0 0.0 2.0 107520.0 131072.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1528751200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 104960.0 512.0 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 -104960.0 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 -5.696962 0.0 3.2163024 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 -104548.0 0.0 1080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 112652.0 1080.0 114688.0 0.0 0.0 0.0 0.0 12.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.19550154 0.018548062 0.011930758 0.007839885 0.010186991 0.006373495 0.003787879 0.0032242904 0.009686122 0.0020838634 0.0022596535 0.0029760643 0.0074741705 0.001969909 0.0017976523 0.011077425 0.0051950826 0.0015096746 0.0014725733 0.003937168 0.0031015025 0.0033347113 0.0014460722 0.001421338 0.0034362986 0.0012879495 0.0014699231 0.001310917 0.0023850915 0.0012199301 0.0016483633 0.0014840569 0.0035184517 0.0012835326 0.00087806705 0.0010335397 0.007755081 0.0011360103 0.00076676277 0.00071376073 0.0015582598 0.0007261279 0.0006377912 0.0013745194 0.0011580945 0.0011430773 0.0006969768 0.0007261279 0.002908045 0.0015829941 0.0017914688 0.005161515 0.0022596535 0.0014655063 0.0015812274 0.0016174455 0.0021368654 0.0026032834 0.0013992537 0.004450404 0.00243191 0.0023082385 0.0018179698 0.0040467056 0.0034592662 0.0023753745 0.0015397092 0.0022048848 0.0044751386 0.008650815 0.0034044974 0.0022305024 0.00493979 0.0028612264 0.0011731117 0.0026589355 0.0065369178 0.0043178992 0.0016748643 0.0071482076 0.0061155516 0.002241986 0.0017897021 0.0032693422 0.0022031178 0.0037313432 0.0039301007 0.0034292317 0.0020193777 0.0028417925 0.0007923804 0.0014098542 0.0013665692 0.0032861263 0.0022649537 0.0024398603 0.0010185224 0.0015909445 0.0008409656 0.0010812415 0.001493774 0.0026403847 0.004460121 0.00089926785 0.0029866647 0.0013294677 0.005284303 0.00063867454 0.0015335255 0.004986608 0.0015308755 0.0015282254 0.0016033115 0.00047260147 0.0020414616 0.0016183289 0.007619926 0.00833457 0.0012340641 0.0011457274 0.0013913034 0.0010335397 0.0005247202 0.0015918278 0.0015070245 0.002501696 0.0015282254 0.0013427183 0.0027048704 0.001673981 0.0006581086 0.009521816 0.004029038 0.0071570417 0.00077647984 0.0008957344 0.001856838 0.00920822 0.0008983845 0.026986869 0.0010317729 0.0079158535 0.00067489257 0.00065634184 0.0009805376 0.0003771978 0.00040281547 0.00040634893 0.00079414714 0.000668709 0.00048408526 0.00041694933 0.0007234778 0.0008118145 0.00044345035 0.0004452171 0.0007429119 0.00051058625 0.00048673537 0.00056005485 0.00084361574 0.00070316036 0.00043550006 0.00069609337 0.0007499788 0.000668709 0.00090280134 0.0036315229 0.005474227 0.0034336485 0.0026448015 0.002371841 0.0027340217 0.0021236148 0.0014681563 0.0011731117 0.0017402335 0.0012075631 0.0011669281 0.0012358308 0.0015238085 0.0012402476 0.0017331665 0.0023727245 0.0019928766 0.0015052578 0.0013533187 0.0009964383 0.0013745194 0.001241131 0.0013427183 0.0024539942 0.006763943 0.00303525 0.0027622895 0.0025237803 0.002422193 0.0009946715 0.0024115925 0.0054203416 0.002328556 0.002260537 0.0009770042 0.0012190468 0.0017243329 0.00047171811 0.0020873968 0.0015953613 0.0013648024 0.0007234778 0.0009840712 0.0007331948 0.000991138 0.00052207004 0.0007049271 0.000711994 0.0019018897 0.0011483774 0.0007013936 0.0019133735 0.001546776 0.0013427183 0.00066782563 0.000755279 0.0020750298 0.00097347074 0.0019080733 0.0040378715 0.005599665 0.0041898107 0.0025343806 0.0023170724 0.014458955 0.0051005627 0.0015352922 0.004572309 0.0043859184 0.0013091502 0.001347135 0.0016006614 0.003670391 0.0019036564 0.0017587842 0.0015149749 0.0025485146 0.0013860032 0.0031103361 0.002564415 0.006309009 0.0038470645 0.0022623036 0.0026068168 0.0069627007 0.0026024 0.053762615 0.07993237 0.011756786 2.2114186e-06 1.3268512e-06 1.3268512e-06 0.00451439 2.6537025e-06 8.845675e-07 8.845675e-07 0.0 1.3268512e-06 0.0 8.845675e-07 1.4595364e-05 8.845675e-07 0.0 6.1919723e-06 0.0051725083 7.961107e-06 7.5188236e-06 1.1499377e-05 6.1919723e-06 7.07654e-06 2.2114186e-06 1.3268512e-06 5.7496887e-05 1.769135e-06 1.1057094e-05 1.3268512e-05 6.1919723e-06 8.8456745e-06 2.3883322e-05 9.597557e-05 0.0057943594 8.8456745e-06 3.184443e-05 1.5037647e-05 1.7691349e-05 1.2826228e-05 3.5382698e-05 2.255647e-05 3.095986e-05 2.2114186e-06 5.2631764e-05 1.6364498e-05 2.7863876e-05 1.8575916e-05 6.368886e-05 0.00018973973 0.007846998 4.4228374e-05 0.00013533882 4.2016956e-05 2.6979309e-05 2.255647e-05 3.7594116e-05 3.449813e-05 6.8111694e-05 3.9805536e-06 6.634256e-05 1.8575916e-05 0.000112782356 2.7421593e-05 7.872651e-05 0.0004918195 0.0135794375 2.4325605e-05 0.0001848746 5.1304913e-05 0.00071119226 5.3074047e-05 6.766941e-05 0.0004599751 5.8381454e-05 1.2826228e-05 0.00020831564 3.7594116e-05 0.00020654651 3.9363254e-05 0.00024281377 0.003989842 0.01693593 0.0015833757 0.00039053653 0.00083680084 0.002701469 0.0015272058 0.0009893887 4.599751e-05 2.6537024e-05 2.1671904e-05 0.0007151728 0.00020300824 0.0002534286 7.872651e-05 0.0004896081 0.0012808538 0.018731602 0.0019902769 0.00059398706 0.000114993774 0.0015541851 0.0008920863 0.0021455183 0.00037372977 3.1402145e-05 5.6170036e-05 0.0009982344 0.00044184146 0.0003374625 0.0008084947 0.0008544922 0.001778423 0.041450832 0.0034896187 0.0017757692 0.001167629 0.0018332661 0.0008182249 0.0033909895 0.0014117697 0.00016497183 0.00026846622 0.011841705 0.005411342 0.0013383506 0.0011070363 0.014031894 0.06538944 0.027587006 0.003360472 0.0012286642 0.00059487164 0.0015670113 0.0005953139 0.0031074856 0.001248567 0.00022202644 0.0003016375 0.005532085 0.0028054058 0.0026939502 0.0007315373 0.0062494692 0.020978844 0.02155116 0.003441852 0.0014002703 0.00072755676 0.0043715327 0.0012498938 0.004757204 0.0025104026 0.00037638345 0.00032242484 0.0016815627 0.0020473315 0.0034201802 0.00044582202 0.0020650227 0.010319807 0.005325981 0.00068155926 0.000481647 0.00025387088 0.00059708307 0.0005714306 0.0009770048 0.0006253892 0.00017868263 0.00013003142 0.00067934784 0.0006501571 0.000520568 0.00022379558 0.00077178515 0.0036360146 0.005851856 0.0011946084 0.0010712112 0.01293503 0.0012215876 0.0010030995 0.001257855 0.001111459 0.0011322463 0.0009075662 0.001008407 0.0011256121 0.0012100883 0.0009142005 0.0011556874 0.0022255718 0.009456469 0.000835474 0.0009358724 0.001772231 0.0017346368 0.00089429773 0.0006355617 0.0011915124 0.0032379592 0.0004657248 0.00037417206 0.0007156151 0.0013865596 0.00062671606 0.0012817383 0.0034409675 0.06325232 0.0098293135 0.0076002036 0.009774471 0.021127895 0.018930186 0.008213209 0.014180059 0.041147426 0.0031623289 0.0029796655 0.00538392 0.014923096 0.005448493 0.015926195 0.03529513 0.040276125 0.008340587 0.008428602 0.008650628 0.016895682 0.015751936 0.007415329 0.011505127 0.029236281 0.0027541008 0.0031154468 0.0045166016 0.011645773 0.0052534463 0.013281339 0.026701111 0.0019610862 0.0008452042 0.00083901227 0.0023166821 0.0008217632 0.00083680084 0.0008199941 0.00076692 0.0007589589 0.0008213209 0.0008053987 0.0011026134 0.0009199502 0.0009783317 0.0014794391 0.0011366692 2909.0 14.103472 41027.0 0.020328077 0.001901187 0.0025592903 0.0022180516 0.011090257 0.002144929 0.0019743096 0.0026811613 0.0046310965 0.0030224 0.0020474321 0.0025836644 0.004265484 0.002534916 0.0027299095 0.0016330709 0.014063909 0.011212128 0.011967729 0.013527676 0.011943354 0.008920955 0.011333999 0.011212128 0.011187755 0.014112658 0.010627148 0.01628196 0.011650864 0.010164038 0.010554025 0.011772735 0.0033880128 0.004411729 0.0029980256 0.0069953934 0.009579058 0.005654813 0.0067760255 0.005898555 0.008506593 0.006434787 0.001901187 0.0019743096 0.0061422964 0.003972993 0.0035098838 0.16576888 0.01267458 0.0047773416 0.0050454577 0.011407122 0.0060448 0.0051185805 0.007458503 0.011553368 0.0047042193 0.0051429546 0.0027055354 0.0027542838 0.0041192384 0.0023399226 0.0028517805 0.01871938 0.0032417676 0.02232676 0.0049967095 0.013381432 0.011699612 0.042484216 0.011358374 0.0067516514 0.008750335 0.019864967 0.011187755 0.0032661417 0.016574452 0.009018451 0.020742439 0.02296049 0.00889658 0.0017061934 0.024959173 0.016184464 0.036585663 0.012260219 0.0048260903 0.0043629804 0.005825432 0.0054841936 0.0025105418 0.027810954 0.0033880128 0.0019743096 0.0021693031 0.0022424257 5.770225 0.0 0.0 0.0 4.0 1132032.0 1159168.0 1.0 0.0 504.0 1.0 1.0 0.0 0.0 0.0 1541443300.0 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 0.0 0.0 0.0 0.0 0.0 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 12.0 0.0 5.0 1.0 5.0 1.0 581120.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581120.0 0.0 310784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7958374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7653394 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1987458 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.678004 0.0 4.5518847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188686.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -580804.0 0.0 310297.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -3.0 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 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -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 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -3.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 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 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 1.0 0.0 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 -1.0 0.0 2.0 -1.0 0.0 1.0 0.0 1.0 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 -2.0 -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 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -3.0 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 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 762956.0 310297.0 815104.0 0.0 0.0 0.0 0.0 28956.0 1126400.0 28.0 601024.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 673904.0 0.0 0.0 2180.0 585728.0 0.0 0.0 0.0 0.0


Input: 0.0073405458 0.0039773616 0.0039275796 0.003948972 0.0039587687 0.003907987 0.0038903933 0.003872 0.0039541703 0.0039009894 0.0038861947 0.0039005897 0.0038781976 0.003909386 0.003874599 0.003948572 0.0038568054 0.0038923926 0.0038530068 0.0038512074 0.0039011894 0.003956769 0.003890993 0.003866202 0.0038877942 0.003896591 0.0038680013 0.0038512074 0.0038833958 0.0038294152 0.003860804 0.0038542063 0.0039001897 0.003835813 0.0038694008 0.0038104223 0.003913785 0.003913385 0.0038753985 0.003876798 0.0038256166 0.003885595 0.0038725997 0.003935177 0.0038716001 0.0038530068 0.00389899 0.0038813965 0.0038981903 0.0038749988 0.0039117853 0.0038574052 0.003882596 0.0039299787 0.0038793972 0.0038656022 0.0039311787 0.0038867944 0.0038899933 0.0038913928 0.003932978 0.003893792 0.003907587 0.0039391755 0.004040739 0.003852407 0.0039323783 0.0038722 0.0038506077 0.003971364 0.0039125853 0.0039401753 0.0038700006 0.0038755985 0.0038891938 0.003852607 0.0038933922 0.0039007894 0.003836013 0.003849808 0.003907387 0.0038698006 0.0039055878 0.0039365767 0.0038560056 0.003846409 0.0038943917 0.003929379 0.0038612038 0.0039801607 0.0038921926 0.0038584047 0.0038775979 0.0039121853 0.003930179 0.0038931922 0.0038528068 0.003904588 0.0038594045 0.0038729995 0.0038807967 0.0039507714 0.0038312147 0.003860404 0.003959968 0.0039043883 0.0039613675 0.0038722 0.003915584 0.003862803 0.003941775 0.0039307787 0.0038654022 0.003863403 0.003941375 0.003924381 0.003999754 0.003998354 0.0038869944 0.003885595 0.0038843954 0.0038538065 0.003841211 0.0038656022 0.0039071874 0.003941775 0.003915184 0.003943174 0.0039061876 0.003909986 0.0038210184 0.0039611678 0.003841211 0.003916184 0.0038574052 0.0038947917 0.0038921926 0.0039897575 0.0039053878 0.003978561 0.0038901933 0.0038929924 0.0038666017 0.0038284156 0.0038793972 0.0038398115 0.0038925924 0.0038692008 0.0038727997 0.0039163837 0.0038516072 0.0038602042 0.0038684013 0.0038722 0.003846809 0.0038714001 0.0038983903 0.0038735992 0.003937776 0.0038478086 0.0038723997 0.0038773979 0.0038811965 0.0038658022 0.0038879942 0.0038584047 0.0038490081 0.0038200186 0.0039143846 0.0038733995 0.0038847954 0.0038889938 0.0038861947 0.003846809 0.003866402 0.003868801 0.0038959912 0.0039035885 0.0038624033 0.003885595 0.0038542063 0.0038320143 0.003902189 0.0038725997 0.003882596 0.0038572052 0.0038733995 0.0038975906 0.0039207824 0.0038865947 0.0038761983 0.0039225817 0.0039317785 0.0039085867 0.003904588 0.0038917926 0.0038919926 0.0038332138 0.0038897935 0.0038432104 0.0038783976 0.0039101862 0.0038640029 0.003876798 0.0039067874 0.0038815965 0.0038749988 0.003882396 0.0038723997 0.003838612 0.0038446097 0.0038636029 0.0038847954 0.0038678015 0.0038999896 0.0038458093 0.0038765983 0.0038763983 0.0038779976 0.0038847954 0.0038394118 0.0038797972 0.0038927924 0.00384421 0.0039309785 0.0038458093 0.0038702006 0.0038793972 0.003858005 0.0038424106 0.003874199 0.0038781976 0.0040035523 0.0039025887 0.0038971908 0.0039245808 0.0038805967 0.0038504077 0.0039285794 0.0038969908 0.00384441 0.0038592045 0.0039175833 0.0038755985 0.003911386 0.0039033885 0.0038476088 0.0038813965 0.0039169835 0.003929379 0.0038506077 0.0039309785 0.0038897935 0.0039027887 0.0038757985 0.004883434 0.0004062844 0.0 0.0 0.0 2.9998847e-07 9.999616e-08 0.0 9.999616e-08 9.999616e-08 3.9998463e-07 5.9997694e-07 7.9996926e-07 5.9997694e-07 2.9998847e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000182293 1.0999578e-06 1.899927e-06 6.999731e-07 2.5999002e-06 2.2999118e-06 2.7998924e-06 1.0999578e-06 3.099881e-06 9.999616e-08 4.999808e-07 9.999616e-08 3.9998463e-07 6.999731e-07 4.999808e-07 4.5998236e-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 0.00031148805 7.599708e-06 1.0199608e-05 5.9997697e-06 7.899696e-06 8.099689e-06 9.399639e-06 7.999693e-06 9.199647e-06 2.5999002e-06 2.5999002e-06 2.1999156e-06 3.6998579e-06 3.3998695e-06 4.399831e-06 1.2799508e-05 0.00014399448 3.099881e-06 7.699704e-06 4.999808e-06 6.199762e-06 4.999808e-06 1.1499558e-05 5.399793e-06 4.0998425e-06 2.9998847e-07 8.999654e-07 9.999616e-07 1.2999501e-06 5.9997694e-07 7.9996926e-07 7.899696e-06 0.0002531903 8.399677e-06 3.89985e-06 5.2997966e-06 2.2799124e-05 1.119957e-05 3.959848e-05 2.0799202e-05 1.0699589e-05 2.6998964e-06 3.099881e-06 3.3998695e-06 5.9997697e-06 4.999808e-06 4.0998425e-06 9.399639e-06 0.00019139265 1.799931e-05 1.6199378e-05 1.4499443e-05 5.9097732e-05 3.6398604e-05 0.00016859353 9.099651e-05 2.7998924e-06 1.899927e-06 2.8998886e-06 1.9999231e-06 3.099881e-06 2.8998886e-06 1.3999462e-06 2.1999156e-06 0.00047658168 2.5099036e-05 3.9698476e-05 3.6598594e-05 3.699858e-05 3.099881e-05 0.000118095464 9.569633e-05 2.7098959e-05 1.4599439e-05 1.55994e-05 1.5199416e-05 1.7299335e-05 1.3499482e-05 1.4699435e-05 4.6198227e-05 0.00061297644 6.379755e-05 6.7897396e-05 5.439791e-05 6.2197614e-05 6.309758e-05 9.419638e-05 0.00012989501 5.3497944e-05 3.7298567e-05 6.359756e-05 7.199724e-05 7.4297146e-05 8.219684e-05 6.8697365e-05 0.00024309066 0.0003360871 1.6099382e-05 4.289835e-05 4.2498366e-05 5.779778e-05 3.7898546e-05 0.0001146956 9.929619e-05 8.3996776e-05 7.049729e-05 7.599708e-05 7.969694e-05 8.58967e-05 8.679667e-05 9.089651e-05 0.0003172878 0.00056977815 0.000114095616 7.4297146e-05 0.00010349602 0.00016219377 0.00020509212 0.00012989501 0.0002472905 0.0002552902 7.209723e-05 7.329718e-05 9.779625e-05 0.0001457944 9.539634e-05 0.00015839392 0.0005676782 0.0006396754 0.00014269452 8.9996545e-05 0.00013569479 0.000208392 0.00025749012 0.00010659591 0.0002291912 0.00022699128 3.8698516e-05 4.8098154e-05 4.3098345e-05 0.00012649514 5.9797705e-05 0.00016249376 0.0003516865 0.061879925 0.061604634 0.06166943 0.06197622 0.06171763 0.06169943 0.061568234 0.061592836 0.061676033 0.06176353 0.06165913 0.061815526 0.06171033 0.061544437 0.061764427 0.06166113 23171.0 5.750205 133238.0 0.010409943 0.010620093 0.010484997 0.01005719 0.010327384 0.01025233 0.009862051 0.0102673415 0.01004218 0.0107251685 0.00952431 0.009726955 0.010484997 0.009591858 0.010327384 0.010620093 0.010462481 0.010132245 0.01005719 0.00973446 0.010147255 0.010364911 0.010184783 0.00952431 0.010012159 0.009689428 0.009929599 0.00983203 0.010304868 0.010147255 0.011070415 0.010237319 0.010342395 0.010762695 0.010515018 0.010432459 0.0106275985 0.009929599 0.010432459 0.010439965 0.010334889 0.010102223 0.010049686 0.0102673415 0.010394933 0.010522524 0.009651901 0.009952116 0.0100722015 0.010597577 0.01044747 0.01096534 0.009937105 0.010049686 0.009854546 0.0103499 0.010665125 0.010184783 0.010575061 0.010259836 0.010132245 0.010402437 0.009937105 0.009989643 0.009764481 0.011310587 0.010192287 0.011198007 0.010785212 0.013231961 0.009779492 0.011040394 0.010537534 0.011415662 0.010124739 0.010237319 0.011430673 0.01095033 0.0114606945 0.011715877 0.010244825 0.009907084 0.011573275 0.011415662 0.012541467 0.010710157 0.01054504 0.010575061 0.010560051 0.010034675 0.009704439 0.010469986 0.01005719 0.010199793 0.009952116 0.01200108 6.5825267 2.0 1.0 0.0 66.0 5001808.0 1957888.0 0.0 0.0 158.0 0.0 1.0 0.0 0.0 0.0 1291180800.0 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 0.0 8.0 0.0 4.0 0.0 4.0 0.0 24064.0 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 5632.0 0.0 0.0 0.0 0.0 0.0 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 -24064.0 0.0 88064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3801537 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6718475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4830003 0.0 7.3855247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -196608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1633532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24050.0 0.0 87760.0 0.0 0.0 0.0 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 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 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 1.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 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 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 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 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 30448.0 87760.0 1867776.0 0.0 0.0 7896.0 9745808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 28672.0 0.0 0.0 0.0 0.0