Input: 0.072710656 0.0073251408 0.0058398806 0.0060834726 0.006050806 0.00458065 0.004736078 0.004400283 0.0049268063 0.0037687356 0.003915909 0.00416477 0.00368707 0.0035535952 0.0033727014 0.0035182945 0.0043265205 0.0036442175 0.0032713658 0.0032332551 0.003739582 0.003263814 0.0034018552 0.0037590764 0.0033614615 0.003464202 0.003381307 0.0031024145 0.003288577 0.0030938091 0.0032513447 0.0033553145 0.006440167 0.003330727 0.0035565807 0.0030138995 0.004845492 0.0028798978 0.002993176 0.003108386 0.003133149 0.0027887486 0.0029963371 0.0029942296 0.0035269002 0.003039014 0.0049903826 0.0058532283 0.003613659 0.0036310458 0.0030897697 0.003312111 0.0031965496 0.003373404 0.0031201527 0.0031336758 0.0033071933 0.0032843621 0.003512499 0.0030799347 0.0033858733 0.0038024557 0.0032869964 0.003116289 0.0036484327 0.004393785 0.004612438 0.0043461905 0.004259959 0.0034930045 0.0033997477 0.0033472357 0.0032611797 0.00389782 0.0029441766 0.0029826383 0.0033526802 0.00369831 0.003739582 0.0036247233 0.0038760426 0.0030648308 0.0038957126 0.0037913914 0.004470709 0.002974911 0.0031201527 0.003115762 0.0034991514 0.002911686 0.0032316747 0.0030556985 0.003606107 0.0031751234 0.0032318502 0.0042722523 0.0033300247 0.0074751247 0.004719745 0.00498687 0.0044541997 0.009154099 0.0032650433 0.004352337 0.0043835985 0.005309669 0.0029944053 0.004019001 0.006047996 0.004743103 0.0058202106 0.007243124 0.0044491068 0.0032627601 0.007228723 0.0075687324 0.0067004426 0.005550626 0.0033632177 0.0034046653 0.0036022433 0.0040274314 0.003256789 0.003289104 0.0031262997 0.0032523982 0.0031048735 0.0030885402 0.0035806415 0.0030869597 0.003239402 0.0030511322 0.0033762138 0.0030757196 0.002940664 0.0030504297 0.0033052615 0.003233782 0.002885342 0.003216044 0.0030172365 0.0030075773 0.003017939 0.0031577365 0.002782953 0.0028270348 0.002800164 0.003004416 0.0028900842 0.0028207123 0.0029392592 0.0029366247 0.0029550653 0.0038535625 0.0029353953 0.002935571 0.0031468477 0.0031651128 0.003331605 0.0032153414 0.0030809883 0.003003362 0.0028654966 0.002942069 0.0028270348 0.002861106 0.0027883973 0.0030149533 0.0029766671 0.0029264383 0.002777684 0.003049727 0.003001079 0.003200062 0.0032631115 0.0032780396 0.003076422 0.0031306902 0.0026974236 0.003194091 0.0029585778 0.0032176245 0.0030472684 0.0030237345 0.0033077202 0.0033583 0.002951026 0.0031461453 0.0031039952 0.0032912116 0.0031580878 0.0032513447 0.003185134 0.0029949322 0.0032822546 0.0030609672 0.0030455121 0.0031997107 0.0032225421 0.0034085289 0.0029097542 0.0028735753 0.0028375722 0.0031004827 0.0030917015 0.0030393652 0.0034083533 0.003545692 0.0029819359 0.0030281253 0.0028495148 0.0030469173 0.0031161134 0.0030270715 0.0032734734 0.0034387363 0.0029478646 0.0029127398 0.0031385934 0.003138769 0.003134554 0.0030585085 0.0032467784 0.003315272 0.0031503602 0.0033042077 0.0031294608 0.0033865757 0.0030602647 0.0032227177 0.003203399 0.0037525783 0.003098902 0.0030660604 0.003078354 0.003485804 0.003272771 0.0034334676 0.0033388059 0.0036487838 0.0032257033 0.0033751603 0.0031983058 0.0036900558 0.0034498007 0.0037666282 0.0036986612 0.004022338 0.0038333656 0.0038221257 0.0039027375 0.0043872865 0.004463508 0.0064449087 0.007391527 0.013103904 0.026214002 3.162102e-06 0.0017857971 4.3918085e-06 1.168221e-05 6.1485316e-06 1.3087589e-05 7.9930915e-06 1.1418701e-06 6.1485315e-07 1.8445595e-06 0.0 0.0 0.0 1.7567233e-07 1.2560572e-05 0.0044634826 4.1282997e-06 5.445842e-05 1.1506538e-05 4.1107327e-05 1.7303724e-05 2.0114483e-05 1.8182087e-05 6.1485315e-07 5.27017e-07 7.905255e-07 3.5134465e-07 1.054034e-06 7.026893e-07 1.2297063e-06 4.1546507e-05 0.00063698785 4.8309894e-06 1.6688872e-06 1.7567233e-07 1.1418701e-06 8.783617e-07 8.783617e-07 3.5134465e-07 1.7567233e-07 8.783616e-08 4.3918084e-07 0.0 1.7567233e-07 7.905255e-07 2.2837403e-06 6.8687885e-05 0.0015330925 1.1330865e-05 0.00016618603 3.3377744e-06 3.8647913e-06 2.4594126e-06 3.776955e-06 3.8647913e-06 4.303972e-06 3.4256104e-06 3.5134467e-06 2.8107572e-06 2.020232e-06 3.3377744e-06 7.641746e-06 0.0005835835 0.0010778375 2.7668393e-05 8.256599e-06 3.5134467e-06 4.655317e-06 3.162102e-06 3.4256104e-06 2.108068e-06 1.1418701e-06 9.661978e-07 3.0742658e-06 2.635085e-06 3.689119e-06 3.9526276e-06 1.5019985e-05 0.00027800148 0.0003762023 1.8884775e-05 4.918825e-06 1.4932149e-06 1.4053786e-06 2.108068e-06 1.581051e-06 1.4932149e-06 1.9323957e-06 2.020232e-06 1.9323957e-06 1.3175425e-06 2.8107572e-06 4.303972e-06 1.282408e-05 0.000104437204 0.001044899 6.166099e-05 2.3100913e-05 1.1418701e-05 1.2560572e-05 1.0891685e-05 3.5134468e-05 2.178337e-05 1.054034e-05 6.4998762e-06 7.9930915e-06 9.749814e-06 8.256599e-06 1.168221e-05 4.0931653e-05 0.0003018929 0.0053876946 0.0001923612 0.00049732835 7.641746e-05 3.20602e-05 0.00010074808 0.0026111936 0.0016007263 1.7128052e-05 1.23848995e-05 1.1067357e-05 9.486306e-06 1.510782e-05 1.9850973e-05 0.00013280829 0.00043672143 0.0014521074 6.4471744e-05 0.00022266468 7.351887e-05 0.00019745571 0.00014097705 0.0011023439 0.00061959634 9.83765e-06 1.1330865e-05 1.1945719e-05 1.2297063e-05 1.7918577e-05 2.679003e-05 4.1370833e-05 0.00031269676 0.0023754414 0.0004349647 0.0015855307 0.00048555832 0.0024188324 0.001179464 0.008962188 0.0054195793 3.091833e-05 0.00018884776 2.7844066e-05 3.8384405e-05 4.8134218e-05 4.8749072e-05 7.659314e-05 0.00060413714 0.00338828 0.0006968043 0.0015544366 0.0006853856 0.0018070535 0.0011474038 0.0066291713 0.003310545 5.5775967e-05 0.00019244904 5.937725e-05 6.166099e-05 7.501209e-05 8.8802364e-05 0.000106896616 0.0008281194 0.007864675 0.001503316 0.0025438233 0.0013016441 0.003021125 0.0023576105 0.007746711 0.003641424 0.00018375326 0.0004874029 0.00016407795 0.0001850708 0.00021985393 0.00030487933 0.00025753563 0.0023959072 0.016532611 0.0023147466 0.003068732 0.0022154916 0.0026662669 0.0024813716 0.0061280658 0.0034916634 0.0013127115 0.0013956289 0.001227247 0.0011690994 0.0013407313 0.0013355489 0.0014138109 0.011809133 0.008043158 0.001630942 0.0012893471 0.001237436 0.0012290914 0.0010548246 0.0013741968 0.0012096796 0.0010225887 0.0010424396 0.0009964135 0.0009929879 0.0010202171 0.0010403316 0.0014708166 0.0077254544 0.0041548265 0.0017501356 0.001444905 0.0012718677 0.001323164 0.00095390074 0.0014562358 0.0013915884 0.0010001026 0.0007781406 0.00070954056 0.0009252662 0.0008609701 0.0008533284 0.0015969493 0.0016553605 0.05792286 0.046230458 0.045245375 0.045873668 0.04624205 0.045844506 0.04621166 0.047542293 0.04660139 0.04442955 0.044641677 0.046514697 0.046602797 0.04592435 0.04746939 0.04863708 34095.0 15.352134 523431.0 0.031822722 0.0028370502 0.0046080574 0.002710959 0.0048774336 0.0025160909 0.0027262429 0.0026727496 0.0029803356 0.0025676736 0.0029344843 0.0032344281 0.0054926057 0.0033719821 0.013346554 0.028456472 0.0067764423 0.0060237166 0.004678745 0.00478191 0.004541191 0.0047991043 0.004604236 0.0034541325 0.003723509 0.00413426 0.007666722 0.0026899439 0.00324207 0.008054548 0.0030414707 0.0028657073 0.0026307192 0.0152302785 0.015509208 0.01718087 0.011027241 0.0063523175 0.007387793 0.0050589284 0.004518265 0.0101789925 0.0026670182 0.0033872658 0.007422182 0.008367865 0.0069369217 0.007832933 0.009227578 0.0023842684 0.011174347 0.012442901 0.018099807 0.004059752 0.0040864986 0.003780823 0.003994796 0.0025256432 0.0023919104 0.0036490005 0.0025008072 0.0036757472 0.0030204554 0.014691526 0.0027377056 0.044485327 0.017434962 0.0188468 0.017133107 0.065745056 0.0053263945 0.012251854 0.015448072 0.026842125 0.002240983 0.009819823 0.032586914 0.019909024 0.032027144 0.04396759 0.014017129 0.0029478576 0.04230166 0.0401562 0.03962318 0.02637788 0.005895715 0.005036003 0.006810831 0.010519056 0.0029612307 0.0022524458 0.0020919663 0.0022906554 0.0021129814 0.0021741164 5.900961 1.0 334.0 0.0 50.0 5693952.0 5718016.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1540208100.0 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 5691392.0 512.0 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 -5691392.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7381425 0.0 3.3578982 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 -5691168.0 0.0 1468.0 0.0 0.0 0.0 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 5699272.0 1468.0 5701632.0 0.0 0.0 0.0 0.0 12.0 5709824.0 28.0 5698960.0 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: 0.7271503 0.0014721478 0.0011978643 0.0011315828 0.0014760724 0.0010932093 0.0010269277 0.0010522194 0.0016465728 0.0010277999 0.0010264916 0.00097329204 0.0013509224 0.0010099213 0.0009501807 0.0015467146 0.0013927844 0.0009898624 0.00095279707 0.00096369867 0.001133327 0.0011158845 0.00094974466 0.0009432037 0.0010884126 0.00093099393 0.0008852074 0.00091224327 0.0010199507 0.0009301218 0.0009257612 0.00094233156 0.0012724311 0.00093579065 0.0009610823 0.0009405873 0.0011695203 0.0009026499 0.0009510528 0.0009584659 0.0009985836 0.00087692216 0.00093099393 0.00094494794 0.00096282654 0.0012663262 0.00093143 0.00087256153 0.0011599269 0.0010517833 0.0010190787 0.0013112406 0.0010269277 0.0010535276 0.0009994558 0.0010539637 0.0011455368 0.0010160261 0.0010243114 0.001132891 0.001042626 0.0011607991 0.0010369571 0.0014821773 0.0012667623 0.0010282359 0.0009907346 0.0009615183 0.0009820133 0.001869401 0.0010234392 0.0009575938 0.0010439341 0.0009924788 0.000917476 0.0009440758 0.0010138459 0.0014865379 0.0009222727 0.0009301218 0.0013086243 0.001111524 0.0010417539 0.0010173344 0.0009667511 0.0014970034 0.001118501 0.0010504752 0.00096587895 0.0011804218 0.00090177776 0.0009471283 0.00092837756 0.0011948119 0.0009998919 0.0010273638 0.00094843644 0.0011773694 0.0022692706 0.0010722782 0.0011285304 0.0013788304 0.0012296969 0.00093579065 0.0011075994 0.001146409 0.0011302746 0.00097067567 0.0012305691 0.0010482948 0.0011778055 0.001146409 0.001104547 0.0008930565 0.0012528083 0.0012096381 0.0016936677 0.0015885766 0.0010064328 0.00095890195 0.00096021016 0.0009689314 0.00090744655 0.00085991574 0.0010003279 0.0010321605 0.0009401513 0.0010387014 0.0011294025 0.0010347769 0.0008917483 0.0016644514 0.0010666094 0.0014398792 0.00092532515 0.0008856434 0.0010613766 0.0017568967 0.0010339047 0.0033650962 0.0009083187 0.0013818828 0.00093230215 0.00090090564 0.0009815772 0.00093448244 0.0008891319 0.0009026499 0.0009336103 0.0009750363 0.00089698104 0.00090439414 0.00094233156 0.000910499 0.0008786664 0.00087343366 0.0009296858 0.0008812828 0.0008581715 0.00089087617 0.00095279707 0.0009436398 0.00093448244 0.0009702396 0.00092837756 0.00089741714 0.0009070105 0.00086689275 0.00095279707 0.0008729976 0.00088782376 0.0008961089 0.00092401693 0.0008673288 0.0008716894 0.00090744655 0.0009898624 0.00087343366 0.00088782376 0.0008716894 0.0009575938 0.00093099393 0.00096936745 0.0009096269 0.0009824494 0.00095933804 0.00092837756 0.00088084675 0.0010020721 0.0010395736 0.0009370988 0.0009889903 0.0014725839 0.0010509111 0.001021695 0.001313857 0.0011498975 0.0009257612 0.0010474226 0.0011424844 0.0010469867 0.0010308523 0.00088695163 0.0009305579 0.0016862546 0.00089785317 0.00094233156 0.00093143 0.0010099213 0.0009650068 0.0009466922 0.0009506168 0.0009680593 0.00087038125 0.0008921844 0.0009126793 0.0010823077 0.001007741 0.000910499 0.0009606462 0.0009885542 0.0009968394 0.00091485964 0.00090439414 0.0011900152 0.0009615183 0.00089392863 0.000868637 0.0010195146 0.0009584659 0.00092837756 0.00092881365 0.0017756475 0.001049603 0.00088782376 0.0011904513 0.0014198202 0.000917476 0.0009200924 0.0009375349 0.0012541164 0.00092881365 0.0009998919 0.0009680593 0.0010801274 0.000917476 0.0010312884 0.0011943758 0.0011634154 0.0009619544 0.00089785317 0.00093448244 0.0012305691 0.0010046886 0.0011987365 0.0040719537 0.7104558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00038857412 4.1453727e-06 4.1453727e-06 3.927195e-06 3.7090176e-06 3.927195e-06 4.36355e-06 4.1453727e-06 4.1453727e-06 5.672615e-06 4.1453727e-06 4.36355e-06 2.181775e-06 3.054485e-06 2.181775e-06 4.1453727e-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 0.0015486239 2.1381395e-05 0.00010297978 1.26542955e-05 5.7380683e-05 3.4690223e-05 0.0002491587 0.00012632477 2.3126815e-05 8.290745e-06 7.4180352e-06 5.672615e-06 7.636213e-06 5.23626e-06 5.0180824e-06 1.8545088e-05 0.000866601 0.0 0.00012327029 8.7271e-07 0.00013265193 6.021699e-05 0.00038944685 0.0002142503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024806783 0.00011432501 0.00021446848 4.2544612e-05 0.0002046505 7.199858e-05 0.0006730776 0.00032944803 5.0180824e-05 2.5308591e-05 2.1381395e-05 2.269046e-05 2.269046e-05 5.1271712e-05 1.8981442e-05 0.00012457935 0.0023270813 8.1816564e-05 0.00023432264 0.00012916108 0.00012545206 8.290745e-05 0.00072391296 0.0003307571 5.0617182e-05 2.8363076e-05 1.9417797e-05 3.1635736e-05 7.745301e-05 2.8144897e-05 6.218059e-05 0.00013505187 0.0020554503 0.00012239759 0.00017497836 0.00030413945 0.0001861054 0.0001086524 0.0007834754 0.0003026122 6.414419e-05 4.7562695e-05 4.6471807e-05 5.2580777e-05 6.8725916e-05 5.847157e-05 4.450821e-05 4.7999052e-05 0.0015230972 0.00020399597 0.00021708662 0.0014198992 0.00020443232 0.00018196004 0.00046929982 0.0002722855 0.00017105116 0.00012676112 0.00013025197 0.0001309065 0.00021599572 0.00015359696 0.00013243375 0.00025570404 0.0018097823 0.00021315942 8.7707354e-05 0.000335557 0.0007260947 0.00052100787 0.00015446967 0.00014377898 0.0014078994 0.00013112467 9.8616234e-05 0.00015708781 0.00059191557 0.00016756033 0.00049504475 0.0010020892 0.0039415946 0.000613297 0.000372429 0.0005303895 0.0010461612 0.0011829584 0.0009028185 0.00073176733 0.0024195884 0.0002085777 0.00023323175 0.0003163574 0.0012702295 0.00039402858 0.0011170688 0.0021457758 0.0039237044 0.0008993277 0.00060151535 0.0008716191 0.0010116891 0.0013450643 0.0009505994 0.0010795423 0.002297409 0.00025264954 0.00029213968 0.00049504475 0.0014057177 0.0006752594 0.0012802656 0.002278864 0.014020959 0.013799945 0.013731438 0.01390707 0.013628021 0.01366642 0.013791436 0.013877834 0.013887652 0.013744092 0.013725547 0.013893544 0.013804309 0.013742783 0.013684966 0.013826781 3020.0 7.6142383 22995.0 0.027266797 0.00761035 0.005914329 0.0064361817 0.009871711 0.006566645 0.007305936 0.010393564 0.007871277 0.0061752554 0.0069580344 0.0066536204 0.007653838 0.006392694 0.009306371 0.0067405957 0.012350511 0.011089367 0.01008915 0.010176125 0.009349858 0.009088933 0.011132855 0.012307024 0.014046532 0.011263318 0.0102631 0.008784519 0.010958904 0.010306588 0.010437052 0.010871929 0.008523592 0.008219178 0.006001305 0.011176343 0.007479887 0.007871277 0.008784519 0.00856708 0.008523592 0.0075233746 0.005914329 0.0068275714 0.008654055 0.007827789 0.0057403785 0.006871059 0.01200261 0.008001739 0.008175691 0.009915199 0.009654272 0.007653838 0.009915199 0.009175908 0.009045444 0.006523157 0.006871059 0.0058708414 0.008480105 0.0066101328 0.0059578167 0.008393129 0.009175908 0.021743858 0.010958904 0.01674277 0.01674277 0.035051096 0.00969776 0.008914982 0.011350294 0.019569471 0.0070450096 0.008132203 0.019873885 0.01121983 0.018612742 0.024396608 0.012828876 0.0066536204 0.025570776 0.017873451 0.028614916 0.012089585 0.009871711 0.008088715 0.008610567 0.011176343 0.006697108 0.0071319854 0.008001739 0.0072624483 0.0052620135 0.0066536204 6.436063 0.0 0.0 0.0 10.0 2293248.0 2306048.0 1.0 0.0 69.0 1.0 1.0 0.0 1.0 0.0 1541929700.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 2222080.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2222080.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5116267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6141896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.531252 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9057648 0.0 3.8961437 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2221970.0 0.0 3176.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 2283428.0 3176.0 2293760.0 0.0 0.0 0.0 0.0 6912.0 2297856.0 28.0 2279136.0 0.0 0.0 0.0 0.0 24.0 2279328.0 64.0 2279168.0 0.0 0.0 280.0 2228224.0 0.0 0.0 0.0 0.0


Input: 0.09028406 0.0056562843 0.0043085953 0.0039992747 0.012543067 0.011432072 0.003488263 0.0033360699 0.004740966 0.0032703816 0.0031410095 0.0033554987 0.0036110044 0.0029988391 0.0030090162 0.0031138707 0.017575776 0.0038453853 0.0032319862 0.0028159607 0.0030372345 0.0028542017 0.0027589074 0.0028505009 0.0032430885 0.0032404673 0.0027942187 0.0031724658 0.0031479485 0.0029818774 0.002960444 0.0029033907 0.00459124 0.002816423 0.0031703073 0.0028905924 0.0035446994 0.0027986905 0.0027488845 0.002954276 0.0034810158 0.0030865779 0.002971392 0.0030562007 0.003221501 0.0030731626 0.0034410786 0.00365896 0.005498386 0.005082823 0.004567648 0.004300269 0.0037215643 0.0036202564 0.0036968926 0.0040426045 0.004832868 0.004458476 0.0040954943 0.0043778303 0.0041847746 0.0040469216 0.0040874756 0.004185854 0.004523393 0.0030013064 0.0034979775 0.0030545045 0.003202226 0.0030526542 0.0028367774 0.0027626082 0.00871048 0.0030051614 0.003485025 0.002701854 0.0029149556 0.004074369 0.0027400954 0.016555294 0.0032594334 0.0027266801 0.0028929054 0.0031029228 0.0033905017 0.002771089 0.003010404 0.0028434077 0.003068691 0.0029786392 0.0039318902 0.0028415574 0.00307748 0.0026670054 0.002789901 0.0033995993 0.0030099414 0.003962113 0.0030444819 0.0035914215 0.0035183316 0.005011275 0.0029576684 0.0029353097 0.0032870348 0.003661119 0.0028068628 0.0027803408 0.0036976638 0.0031889651 0.0037124667 0.0036615813 0.0034984401 0.0027545898 0.003955791 0.0037055279 0.0043960256 0.003444625 0.0029709295 0.0028859663 0.0033315981 0.0029996103 0.0027626082 0.0028987648 0.0029678454 0.0029490334 0.0028050125 0.0028582108 0.0029399355 0.002667468 0.0026483475 0.0030966005 0.002805321 0.0033184914 0.0028426368 0.0026919856 0.0031599759 0.0027789532 0.0026222882 0.0047895387 0.0031431683 0.0040823873 0.0026293811 0.0026114944 0.0045494526 0.0025137328 0.002490449 0.0030771717 0.002718816 0.0025555205 0.002574487 0.0025686272 0.002783579 0.0025077192 0.0025075648 0.0025737158 0.0027209746 0.0025550579 0.0025977707 0.0026199752 0.0028671543 0.0025828134 0.0025396382 0.0026380164 0.0030235108 0.0026079477 0.0026295355 0.0026515857 0.0028156522 0.0026421796 0.002585589 0.0026403293 0.0028003866 0.0026105691 0.0028082507 0.0026708604 0.002945024 0.0026585246 0.00263925 0.002635395 0.0028156522 0.0026648468 0.0026579078 0.0026014715 0.003362746 0.002711877 0.0026349323 0.0026434131 0.0029906668 0.0026114944 0.0027063258 0.002752431 0.0031072402 0.0029158809 0.0026196667 0.002887971 0.0030551215 0.002645726 0.0027081764 0.0028242872 0.0036236488 0.0026702436 0.002703242 0.0026787245 0.007161101 0.0026537445 0.00273917 0.0028134934 0.0031154128 0.0026312317 0.0025393297 0.0025912945 0.0027487304 0.002544264 0.002593453 0.00262676 0.0029111006 0.0025786501 0.0027673882 0.002627685 0.002810101 0.002645726 0.0025990042 0.00269692 0.0030130255 0.0027681591 0.0028182736 0.002930992 0.0031567377 0.0029672286 0.002853739 0.0031635226 0.0042385897 0.004991229 0.002920815 0.002971392 0.0038386006 0.0032657557 0.0031952872 0.0028992274 0.0034776235 0.002587902 0.0026028592 0.002667314 0.0027660006 0.0025965371 0.0026209003 0.0026722483 0.0029191189 0.0026141156 0.0026437216 0.0027189702 0.0029411693 0.0026685474 0.0027525853 0.06314555 0.020951908 0.0009943757 7.017308e-06 4.6267965e-07 0.018944263 1.0795858e-06 2.1591716e-06 6.940195e-07 3.8556638e-07 0.0 0.0 0.0 4.6267965e-07 2.3133983e-07 0.0 0.051800687 0.00075478473 0.00015908468 5.552156e-06 2.051213e-05 0.00016278612 1.0024726e-06 5.7834955e-06 4.781023e-06 0.0 1.5422654e-07 0.0 0.0 1.5422654e-07 2.3133983e-07 7.711327e-08 0.00014852016 0.0073493575 0.00011991114 8.806336e-05 0.000121453406 0.00014296801 4.403168e-05 0.0002382029 0.00011073466 1.8507186e-06 1.1566991e-06 1.4651522e-06 3.0845308e-07 1.388039e-06 7.7113276e-07 7.7113276e-07 0.00014774903 0.019739378 0.0010357084 0.0005076367 0.00026642636 0.0005121864 0.000115747025 0.0010930035 0.0005647005 2.853191e-06 2.0820585e-06 1.1566991e-06 1.0024726e-06 1.9278318e-06 1.4651522e-06 6.1690616e-07 1.2338123e-06 0.011535915 0.0002695109 0.000537788 0.00011644104 0.00011243115 6.469803e-05 0.0012179271 0.00062407774 6.5546283e-06 8.096894e-06 7.5571006e-06 7.1715344e-06 5.937722e-06 3.932777e-06 3.4700972e-06 7.865554e-06 0.0061348234 0.00013155525 0.0004230434 7.3643176e-05 7.449142e-05 3.909643e-05 0.0010349372 0.00057487946 1.3263483e-05 6.8630816e-06 5.2437026e-06 3.932777e-06 3.4700972e-06 3.5472106e-06 1.5422655e-06 3.7785503e-06 0.00960816 0.0010801256 0.0007594886 0.0003851808 0.00026557813 0.00019918359 0.0005925384 0.00032541802 8.860315e-05 8.783202e-05 5.4287746e-05 4.2720752e-05 3.5703444e-05 2.7915004e-05 2.8994591e-05 0.0001580051 0.008342037 0.0008728451 0.0005614617 0.00048134106 0.0005141913 0.00043599846 0.0013571165 0.0006001726 0.00010903817 0.00018514897 9.184191e-05 6.9941736e-05 8.613553e-05 7.240936e-05 7.040442e-05 0.00067929085 0.014112731 0.002130177 0.00091410073 0.0013637482 0.00064057996 0.00029827416 0.0006614777 0.00042427724 0.00017188549 0.00041895642 0.0001615523 0.00016216922 0.00017597248 0.00018846484 0.00017998238 0.00231656 0.008093809 0.0014090138 0.00049306225 0.0010542927 0.000684843 0.0003415347 0.0008678328 0.0004932165 0.0001736591 0.00027089892 0.00016810694 0.00014381626 0.0001934772 0.00014805749 0.00017042033 0.0012446854 0.0018623627 0.000252546 0.00036837012 0.0003103809 0.000504475 0.0003661338 0.0008980612 0.00053246715 7.965801e-05 6.477515e-05 4.5111265e-05 4.896693e-05 6.384979e-05 3.1076648e-05 5.4981763e-05 0.000202191 0.004545442 0.001628401 0.0016144435 0.015816472 0.0020836007 0.0017834757 0.003071653 0.0021173763 0.001008873 0.0010023183 0.0010893021 0.0009808037 0.0011773654 0.0010057113 0.0009997736 0.0011362641 0.0014801893 0.0006406571 0.00059269264 0.000539176 0.00052945974 0.0003647458 0.0009936816 0.00061721465 0.000113973416 0.00010155818 0.00017165414 9.0530986e-05 0.00015900757 0.00011744352 0.00011266249 0.0003241842 0.002076429 0.001375161 0.0011163689 0.0013659846 0.0018973721 0.00089019566 0.0009595976 0.0007977368 0.0026585571 0.00036235526 0.00046645818 0.0007476903 0.0031020357 0.00076234184 0.0033574349 0.0033327586 0.0029060137 0.0019741768 0.0018786336 0.0021270155 0.0023810265 0.002047743 0.0018944418 0.003075123 0.002736596 0.0003938175 0.0016129784 0.0017909558 0.0025203703 0.0006074984 0.0055635683 0.0018659099 0.042761933 0.04934378 0.04163608 0.044760093 0.04067463 0.041760616 0.03993434 0.040319987 0.041663915 0.04101208 0.039238088 0.039944753 0.042283908 0.040053945 0.04145162 0.04103768 31639.0 13.287209 420394.0 0.010904057 0.0031042309 0.003392056 0.0036584728 0.0051237647 0.0040604766 0.003425358 0.0034895835 0.005880198 0.004740791 0.0031851074 0.003263605 0.005787428 0.0037797876 0.008437323 0.0039938726 0.012117204 0.009802709 0.011670005 0.009988249 0.010506811 0.009360267 0.009728968 0.009486339 0.011898362 0.009952568 0.01158437 0.009338859 0.010521082 0.009493475 0.008884523 0.011360771 0.012183809 0.0074311243 0.0050928416 0.007668996 0.008534851 0.0044505866 0.0052950326 0.0046170973 0.0947278 0.0057398537 0.004507676 0.0034705538 0.005354501 0.007821234 0.004260289 0.21579994 0.00788546 0.0045243273 0.0070933457 0.008244647 0.006332155 0.0040438254 0.0079568215 0.0051784753 0.006845959 0.0043768464 0.0048573483 0.00479788 0.0068150354 0.0034800686 0.004510055 0.012709506 0.0046408847 0.0148693845 0.0051808544 0.012635766 0.010483023 0.025666399 0.005720824 0.0050191013 0.0068649887 0.011118142 0.0041175657 0.0037036685 0.012435953 0.007721328 0.010609095 0.011379801 0.01006199 0.0034800686 0.01649643 0.010775606 0.01751928 0.0067056143 0.0051856115 0.0042269873 0.007787932 0.0052641095 0.0035680814 0.00318035 0.0047598206 0.0033349667 0.0034967198 0.003461039 5.5667524 0.0 36.0 0.0 60.0 6485176.0 7626752.0 1.0 263.0 467.0 1.0 1.0 1.0 0.0 0.0 1534924200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 6.0 0.0 6.0 0.0 7624192.0 1024.0 4096.0 7.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -249344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 927744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -578560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4708352.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0484924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.607521 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.714977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.64212 0.0 4.147587 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 927744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1720108.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4708352.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 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 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 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 2.0 0.0 1.0 3.0 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 1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 1.0 1.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 1.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -2.0 2.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 1.0 0.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 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 0.0 0.0 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 -1.0 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 1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -3.0 0.0 1.0 0.0 3.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 4.0 2.0 2.0 1.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 2.0 0.0 1.0 -1.0 1.0 -2.0 0.0 1.0 2.0 0.0 -3.0 2.0 -1.0 -1.0 0.0 1.0 -1.0 4.0 -2.0 0.0 0.0 -1.0 1.0 1.0 1.0 1.0 0.0 -5.0 0.0 0.0 2.0 0.0 -2.0 1.0 -1.0 1.0 -2.0 2.0 -1.0 -3.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 4.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 2.0 -1.0 -2.0 1.0 1.0 -2.0 -3.0 0.0 1.0 2.0 0.0 -1.0 -1.0 0.0 1.0 1.0 -3.0 -2.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 2.0 -1.0 -2.0 -2.0 0.0 1.0 -2.0 -1.0 0.0 2.0 -1.0 18380.0 4169744.0 480.0 5918720.0 3732.0 5914624.0 0.0 0.0 16056.0 6469120.0 196044.0 7427744.0 56.0 3262784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1964.0 5931864.0 0.0 0.0 0.0 0.0


Input: 0.35835597 0.023862092 0.021399457 0.011888587 0.024456521 0.014351223 0.021993887 0.009341032 0.013756794 0.0050101904 0.011803669 0.0039911685 0.009425951 0.0031419836 0.0050101904 0.004670516 0.0053498643 0.023182744 0.0059442935 0.0088315215 0.0020380435 0.0022927988 0.005689538 0.0054347827 0.006029212 0.0015285326 0.0009341033 0.0014436141 0.002122962 0.0030570652 0.003396739 0.003736413 0.010869565 0.0045855977 0.0013586957 0.0014436141 0.001613451 0.0029721467 0.001953125 0.0005944293 0.0053498643 0.0011888586 0.004670516 0.0028023098 0.001953125 0.003226902 0.0043308423 0.0007642663 0.0036514946 0.0016983695 0.0025475544 0.001953125 0.0014436141 0.00042459238 0.00050951086 0.00050951086 0.0012737772 0.00067934784 0.0005944293 0.00042459238 0.0005944293 0.00067934784 0.00042459238 0.0007642663 0.00084918475 0.003396739 0.0016983695 0.0029721467 0.001953125 0.001953125 0.0011039402 0.00084918475 0.00084918475 0.0041610054 0.00067934784 0.00033967392 0.00084918475 0.0016983695 0.0009341033 0.0013586957 0.0016983695 0.00084918475 0.0022078804 0.0045855977 0.0022078804 0.0010190217 0.0011888586 0.0009341033 0.005095109 0.003736413 0.00050951086 0.00016983696 0.00067934784 0.0005944293 0.00016983696 0.003396739 0.0022927988 0.0106997285 0.005519701 0.006623641 0.0051800273 0.02403193 0.004925272 0.0035665762 0.0016983695 0.0106997285 0.00050951086 0.0020380435 0.0069633154 0.0054347827 0.010105299 0.013586956 0.003736413 0.00050951086 0.009510869 0.0088315215 0.016049592 0.0054347827 0.001953125 0.00067934784 0.0010190217 0.003736413 0.00067934784 0.004925272 0.00067934784 0.002632473 0.0030570652 0.00050951086 0.01061481 0.0011039402 0.00084918475 0.00042459238 0.0012737772 0.00067934784 0.0035665762 0.0007642663 0.00084918475 0.001613451 0.00067934784 0.00042459238 8.491848e-05 0.0012737772 0.0012737772 0.0013586957 0.00067934784 0.0029721467 0.0007642663 0.00025475543 0.00033967392 0.00016983696 0.00033967392 0.00033967392 0.00016983696 0.00050951086 0.00025475543 0.00016983696 0.00050951086 0.0007642663 0.00025475543 0.00025475543 0.00033967392 0.00050951086 0.00016983696 0.00033967392 0.00033967392 0.00025475543 0.00016983696 0.00033967392 0.00042459238 0.00084918475 0.00016983696 8.491848e-05 0.00067934784 0.00042459238 8.491848e-05 0.00016983696 0.00067934784 0.00016983696 0.00042459238 8.491848e-05 0.00042459238 0.00084918475 0.00033967392 0.00033967392 0.00033967392 0.00050951086 8.491848e-05 0.00025475543 0.00025475543 8.491848e-05 0.0 0.00033967392 0.00050951086 0.00033967392 0.00025475543 0.00067934784 0.00025475543 0.00016983696 0.00033967392 0.00042459238 0.00016983696 0.00016983696 8.491848e-05 0.0 0.00050951086 0.00050951086 0.00042459238 0.00050951086 0.0 0.0011888586 0.00084918475 0.0 0.00033967392 0.00016983696 0.0 8.491848e-05 0.00033967392 0.00025475543 8.491848e-05 0.0 0.00033967392 0.00033967392 0.002122962 0.00033967392 0.00050951086 0.00050951086 0.0059442935 0.00016983696 0.00033967392 0.00025475543 0.00016983696 0.00025475543 0.00025475543 0.0011888586 0.00025475543 0.00067934784 0.0005944293 0.00042459238 8.491848e-05 0.00016983696 0.00025475543 0.00050951086 0.0 0.00050951086 0.00025475543 8.491848e-05 0.00050951086 0.00042459238 0.00050951086 0.00033967392 0.00033967392 0.00025475543 0.00025475543 0.00025475543 0.0014436141 0.00050951086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.080273435 0.0037597655 0.0022460937 0.00234375 0.0015625 0.00092773436 0.0046875 0.0018554687 0.0010253906 0.00024414062 0.00014648438 0.0001953125 0.00014648438 9.765625e-05 0.00029296876 0.0001953125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18549804 0.034277342 0.020654297 0.007470703 0.003515625 0.0052246093 0.0086425785 0.012207031 0.0065429686 0.0033203126 0.0021972656 0.0020507812 0.0016601563 0.002734375 0.0014160157 0.0025878907 0.110839844 0.009326172 0.007910157 0.0031738281 0.0072265626 0.0053222654 0.027490234 0.012646484 0.005029297 0.002001953 0.0017578125 0.0011230469 0.0014648438 0.0011230469 0.0022949218 0.0012695312 0.103271484 0.040039062 0.018945312 0.0036132813 0.008740234 0.015136719 0.05605469 0.02734375 0.010302735 0.002783203 0.0009765625 0.0016113281 0.0018554687 0.0021484375 0.0044921874 0.0026855469 0.02998047 0.00078125 0.0022949218 0.0014648438 0.0058105467 0.0039550783 0.024267578 0.015136719 0.0072753904 0.0009765625 0.0008789062 0.0005371094 0.00083007815 0.00092773436 0.0045410157 0.00034179687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 11.7 1872.0 0.0064102565 0.0042735045 0.0 0.0016025641 0.00053418806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026709402 0.011752137 0.0 0.0026709402 0.0037393162 0.0037393162 0.0032051282 0.0032051282 0.0010683761 0.0016025641 0.0021367522 0.0026709402 0.0010683761 0.0 0.0 0.00053418806 0.0 0.00053418806 0.00053418806 0.0 0.017628206 0.0069444445 0.011752137 0.0074786325 0.009615385 0.0021367522 0.0048076925 0.0 0.011752137 0.0 0.00053418806 0.00053418806 0.0048076925 0.0037393162 0.0048076925 0.0058760685 0.0 0.0074786325 0.021367522 0.012820513 0.0021367522 0.0010683761 0.0032051282 0.0037393162 0.0016025641 0.0 0.0 0.0 0.0 0.0 0.011752137 0.00053418806 0.030448718 0.021367522 0.035256412 0.024038462 0.13301282 0.028846154 0.018696582 0.0069444445 0.050747864 0.0016025641 0.010149573 0.034722224 0.029380342 0.052884616 0.052884616 0.018696582 0.00053418806 0.042735044 0.04113248 0.09241453 0.025641026 0.009081197 0.0021367522 0.0053418805 0.018162394 0.0 0.0 0.0 0.0 0.00053418806 0.00053418806 5.017942 0.0 0.0 0.0 1.0 11776.0 40960.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1482316000.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 9728.0 512.0 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 -9728.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9243417 0.0 3.1332026 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 -9244.0 0.0 744.0 0.0 0.0 0.0 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 87.0 17340.0 744.0 32768.0 0.0 0.0 0.0 0.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.36888826 0.014066956 0.0050486885 0.0053441585 0.008170396 0.0041365842 0.0031859407 0.0020040595 0.012910768 0.0025564604 0.004470594 0.0015544308 0.007104134 0.0020040595 0.001849901 0.0038796538 0.008697105 0.005434084 0.0029161635 0.0014259655 0.004342129 0.0076179956 0.0012461139 0.0010148763 0.00292901 0.0011561882 0.0010791089 0.001271807 0.0017342822 0.0014901981 0.0008992575 0.0010919555 0.006770124 0.0005780941 0.00068086636 0.00070655945 0.004483441 0.0016957427 0.0011433417 0.0006937129 0.0011690347 0.0006423268 0.00062948023 0.0010277228 0.0010277228 0.002042599 0.0020554457 0.0011947278 0.0033272526 0.002132525 0.0010662625 0.0045219804 0.0012332674 0.0017085891 0.0016957427 0.0012332674 0.0022866833 0.0022481438 0.001104802 0.0040466585 0.001271807 0.002042599 0.0007579456 0.0009249505 0.013771486 0.007656535 0.0010662625 0.0019269803 0.0027748516 0.0075794556 0.0031088616 0.001464505 0.0015287377 0.0014773515 0.00052670797 0.00048816833 0.0016828962 0.00326302 0.0015158912 0.0012461139 0.009763367 0.0016700496 0.0012975001 0.0048559904 0.0015929703 0.00292901 0.0059864856 0.0052156933 0.0015287377 0.0015544308 0.00044962874 0.0014259655 0.0011176486 0.0013874258 0.0030703219 0.0022609902 0.0006680198 0.005087228 0.0010148763 0.0023637626 0.003455718 0.009673441 0.004290743 0.0017599753 0.006102104 0.0050743814 0.004920223 0.0010148763 0.004008119 0.0021710645 0.0042136637 0.004534827 0.0029803962 0.0003340099 0.005434084 0.004611906 0.014144035 0.013257625 0.0018884407 0.0012204208 0.0022224507 0.0011947278 0.000552401 0.00052670797 0.0013745793 0.0018884407 0.00079648517 0.0008093317 0.0038282676 0.001849901 0.000359703 0.0062819556 0.001464505 0.0072582923 0.00048816833 0.00044962874 0.0011690347 0.0055111637 0.0007579456 0.016559184 0.0006937129 0.0096862875 0.00044962874 0.00068086636 0.0014901981 0.00019269803 0.00012846536 0.00029547032 0.0006166337 0.00048816833 0.00038539607 0.0011690347 0.0006166337 0.0026335397 0.00020554457 0.0004367822 0.0005138614 0.0005138614 0.0003211634 0.0004367822 0.0005010149 0.0008093317 0.000359703 0.0007322525 0.00056524755 0.0010020297 0.00030831684 0.00037254952 0.0006551733 0.00034685645 0.0009249505 0.00041108913 0.00059094065 0.0002569307 0.0004367822 0.0003340099 0.0011433417 0.00029547032 0.0003211634 0.00026977723 0.00042393568 0.0010534159 0.00039824258 0.0005138614 0.0008992575 0.00070655945 0.0002569307 0.0006937129 0.00074509904 0.00053955446 0.00070655945 0.00059094065 0.0070142085 0.0013231931 0.002851931 0.0021710645 0.0019783664 0.00037254952 0.0014901981 0.0017599753 0.0013745793 0.00196552 0.00019269803 0.0003340099 0.0037254952 0.0002183911 0.0006166337 0.00052670797 0.0012075743 0.0013745793 0.0006680198 0.00056524755 0.0011304951 0.0001798515 0.000719406 0.00086071785 0.0014773515 0.0008093317 0.00034685645 0.0009506436 0.0010277228 0.00020554457 0.00059094065 0.000359703 0.0015415843 0.0006423268 0.00068086636 0.0003211634 0.0012204208 0.00060378714 0.000552401 0.0006423268 0.009429357 0.0017085891 0.00088641094 0.0033529457 0.004367822 0.0008992575 0.0008350248 0.00077079213 0.0030317823 0.0015158912 0.00046247526 0.00097633665 0.0017728219 0.00020554457 0.0013745793 0.0015158912 0.0037383419 0.0012075743 0.00052670797 0.0014002724 0.0037254952 0.0028005447 0.009095347 0.051270522 0.08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024427084 0.00010416667 0.0001953125 0.00029947917 0.0008203125 6.510417e-05 5.2083335e-05 0.00014322916 7.8125e-05 3.90625e-05 2.6041667e-05 3.90625e-05 3.90625e-05 5.2083335e-05 3.90625e-05 0.00024739583 0.034778647 0.0016601563 0.0007486979 0.00024088542 0.0004231771 0.00022786458 0.00069661456 0.00032552084 0.0003190104 7.161458e-05 5.859375e-05 6.510417e-05 3.2552085e-05 3.2552085e-05 0.0001953125 0.00012369792 0.010755208 0.0011393229 0.0001171875 0.0001171875 9.1145834e-05 0.0 6.510417e-06 2.6041667e-05 4.5572917e-05 0.0 6.510417e-06 6.510417e-06 2.6041667e-05 6.510417e-06 3.2552085e-05 0.00095703127 0.020091146 0.00014322916 0.00013020834 0.00014322916 0.0007486979 0.0006184896 0.0018294271 0.0010026041 6.510417e-05 9.765625e-05 9.765625e-05 9.765625e-05 9.765625e-05 8.4635416e-05 0.0011067708 0.0003125 0.009414063 6.510417e-05 0.000546875 0.00024739583 0.00046223958 0.00016276042 0.0007356771 0.00056640623 5.2083335e-05 6.510417e-06 1.3020834e-05 6.510417e-06 3.2552085e-05 1.953125e-05 3.90625e-05 0.0009635417 0.02653646 0.0015690104 0.0015494792 0.000859375 0.0008789062 0.00061197917 0.0024023438 0.0012695312 0.00047526043 0.0008854167 0.00033854166 0.00020182291 0.00017578126 0.00010416667 7.161458e-05 0.0020703124 0.015039062 0.0032096354 0.0010872396 0.00072265626 0.0006640625 8.4635416e-05 0.0035546876 0.001920573 3.90625e-05 1.3020834e-05 3.90625e-05 4.5572917e-05 5.2083335e-05 3.90625e-05 5.2083335e-05 0.00010416667 0.026529947 0.00059895834 0.0033984375 0.0016536459 0.0049023437 0.003046875 0.015169271 0.008190104 0.00020833334 0.00026041668 0.00020833334 0.00025390624 0.00028645832 0.00029947917 0.0012630208 0.00039713542 0.03203125 0.0039973957 0.0031184896 0.0042838543 0.003828125 0.0025716147 0.01140625 0.005638021 0.0010091146 0.0016731771 0.0005013021 0.0006705729 0.0011328125 0.0005859375 0.0007486979 0.0068033854 0.034505207 0.0033463542 0.003925781 0.004505208 0.0028776042 0.002454427 0.007050781 0.004140625 0.0015625 0.0018619791 0.0010742188 0.0009765625 0.0019921875 0.0011523437 0.0017382812 0.0068359375 0.027167968 0.0013606771 0.0018880208 0.0026432292 0.003704427 0.002252604 0.0029557291 0.0027799478 0.0029492187 0.0025195312 0.0013411458 0.00171875 0.0028320313 0.001516927 0.0022851562 0.006751302 0.07182943 0.018730469 0.006197917 0.010846354 0.021015625 0.023209635 0.010696614 0.019628907 0.03520182 0.002220052 0.0032877603 0.003951823 0.0140625 0.005520833 0.015553385 0.044713542 0.02826823 0.008867187 0.0038346355 0.005410156 0.011080729 0.011347656 0.004309896 0.008170573 0.016145833 0.00091145834 0.0016992188 0.0016210937 0.0075130207 0.0032096354 0.0055533852 0.015390625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 382.0 14.560209 5562.0 0.0587918 0.0037756204 0.0044947863 0.0034160374 0.004135203 0.009169363 0.005573535 0.002876663 0.003236246 0.0035958288 0.0044947863 0.0035958288 0.0030564545 0.016900396 0.008809781 0.0035958288 0.011866235 0.020855807 0.0071916576 0.0071916576 0.0030564545 0.0039554117 0.0062927003 0.0035958288 0.012585401 0.0035958288 0.006112909 0.018158935 0.0071916576 0.0037756204 0.0025170802 0.0021574972 0.0030564545 0.015462064 0.0043149944 0.016001439 0.006472492 0.007910823 0.012944984 0.009349155 0.0039554117 0.008629989 0.0012585401 0.0021574972 0.006832075 0.012944984 0.0044947863 0.0037756204 0.014563107 0.0034160374 0.006472492 0.021035599 0.008450198 0.0059331176 0.010787486 0.021574972 0.0010787486 0.002876663 0.0012585401 0.0025170802 0.0023372888 0.0021574972 0.0012585401 0.0030564545 0.0012585401 0.033081625 0.0039554117 0.015282272 0.024631428 0.08288386 0.007731032 0.009528946 0.014203524 0.039194535 0.0025170802 0.0059331176 0.030384753 0.011506652 0.028047465 0.029665587 0.008450198 0.0008989572 0.03829558 0.029126214 0.052678894 0.013304567 0.0059331176 0.0052139517 0.006472492 0.0062927003 0.0021574972 0.0010787486 0.0005393743 0.0005393743 0.0003595829 0.0008989572 5.806965 0.0 0.0 0.0 1.0 77842.0 81920.0 1.0 0.0 193.0 0.0 1.0 0.0 0.0 0.0 995571000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 6.0 20.0 5.0 0.0 4.0 0.0 61440.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.46609414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.158958 0.0 4.621533 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57990.0 0.0 7320.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -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 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 57484.0 7320.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 812.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.07428879 0.0042269346 0.002383873 0.0036566062 0.0028841612 0.0064176964 0.003966785 0.008028625 0.0050113867 0.0029987274 0.0046761935 0.0025664782 0.0019296114 0.0016139296 0.0018660749 0.0016864714 0.005167977 0.0022132748 0.0021542409 0.0013973048 0.001680468 0.004180908 0.0015373855 0.001673464 0.0019060979 0.0014533371 0.0014068104 0.001425321 0.0019481222 0.0015358847 0.0016019227 0.0017024806 0.0031398085 0.0016744644 0.0017284956 0.002449911 0.0022798132 0.001984643 0.0018925901 0.0019486224 0.0024404058 0.002166748 0.0031122926 0.0018960922 0.0018820841 0.0016384438 0.0018225497 0.0017650167 0.0028066167 0.0021167193 0.0021207216 0.002173752 0.0023283411 0.0020251665 0.0019025959 0.0017665175 0.0021522397 0.0017294962 0.0017249936 0.002012159 0.0021397325 0.0019106005 0.001645948 0.0016069256 0.0056157345 0.001690974 0.0018505659 0.001934114 0.0024223954 0.005188989 0.0065968 0.0029997278 0.0022092725 0.002301826 0.0020586858 0.002114718 0.0025309578 0.0053740954 0.004046831 0.0031117925 0.0065267594 0.009990254 0.008505899 0.0056102313 0.003227359 0.0034384807 0.0028106188 0.0026115042 0.002875156 0.0054696505 0.014041588 0.0049873726 0.0043119835 0.005189489 0.0077744783 0.005230513 0.0036260886 0.004529609 0.004665687 0.008198722 0.007610884 0.011443592 0.005378598 0.0060344758 0.00751733 0.013619845 0.0067398823 0.0108117275 0.004904325 0.00395828 0.0031763297 0.0036461002 0.0036696137 0.0024789278 0.0032578765 0.0027645924 0.0047767516 0.003828205 0.006710365 0.013785941 0.020444777 0.015264292 0.008793064 0.006720371 0.005618236 0.007744961 0.019208064 0.02355757 0.014842049 0.0040823515 0.0019226074 0.0025424645 0.002005155 0.0031097913 0.0013587826 0.0013772934 0.0014413302 0.0039037485 0.0014693463 0.0067143673 0.0016559538 0.006217081 0.0014448322 0.0014283228 0.0029186811 0.0019716357 0.0024814294 0.004555624 0.00288216 0.0021017105 0.0015909164 0.0020611873 0.0020386742 0.001956627 0.002557473 0.0023568575 0.0025889913 0.0023918778 0.0018930904 0.0021622456 0.0024714235 0.0028621487 0.0023248391 0.0012867411 0.0013968046 0.0012111977 0.0011241476 0.0011101394 0.0016809682 0.001362785 0.0013362697 0.0012992483 0.0017755227 0.0011656714 0.0012292081 0.001118144 0.001380295 0.0012457175 0.0013893002 0.0011621694 0.001671963 0.0012822385 0.0013637856 0.0012792369 0.0015709049 0.0017304968 0.0015378859 0.0013427734 0.0016444472 0.0014948611 0.0013102547 0.00114566 0.002052182 0.0010481037 0.0013422732 0.0018185475 0.0018830847 0.0010836242 0.0012322097 0.0020096577 0.0017695193 0.0011836818 0.0012802375 0.0013827964 0.0018890881 0.0011956887 0.0013187596 0.002284816 0.0020506813 0.00075743627 0.00077194464 0.001097132 0.0013392714 0.00096155383 0.0015088691 0.0017765233 0.0016184322 0.0010881268 0.0009830663 0.0018670755 0.0022387896 0.0013862986 0.0010836242 0.0010050789 0.0017770235 0.0008745037 0.0017164887 0.0013487769 0.0018165463 0.001015585 0.0010866259 0.00090452103 0.0017965348 0.0012066951 0.0009630547 0.0010651135 0.0020201637 0.0018195481 0.0040458306 0.0018825844 0.003223857 0.000786453 0.0010636126 0.0009900703 0.00087350316 0.0013252634 0.0013747918 0.0013832968 0.0017485071 0.0027615908 0.003095783 0.006756392 0.009265837 0.007356237 0.0062280875 0.11248129 0.0032255093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.5081687e-07 0.0 5.005446e-07 0.0 5.005446e-07 5.005446e-07 0.0 0.032651275 8.884667e-05 5.756263e-06 1.7519061e-06 7.5081687e-07 7.0076244e-06 7.508169e-06 2.502723e-05 2.7780225e-05 2.5778047e-05 2.3275323e-05 2.9281859e-05 1.3764976e-05 2.402614e-05 2.2274235e-05 0.0004897829 0.0068957526 6.281835e-05 5.5059904e-06 2.502723e-07 1.0761709e-05 3.679003e-05 2.627859e-05 2.627859e-05 3.729057e-05 4.8552825e-05 5.5310178e-05 3.5538666e-05 1.6517972e-05 2.3025052e-05 2.8781315e-05 0.00014665957 0.006615448 0.0063974606 3.8291662e-05 0.00021948881 4.15452e-05 0.0003468774 9.5103474e-05 0.00016292726 0.0001363984 5.8563717e-05 6.8824884e-05 8.659421e-05 0.00016042455 4.15452e-05 0.00014290548 0.00094177463 0.0064380043 0.007570987 2.502723e-05 0.0003351146 6.281835e-05 0.00053958705 0.000105364634 0.00037741062 0.00028105578 0.00011988043 0.0001426552 0.00016943434 0.00021373254 0.00010736682 0.00036514728 0.00033211135 0.0077043823 0.0046535633 5.7312354e-05 0.00013689895 5.806317e-05 0.00029331914 0.000102861915 0.0011802842 0.0006639724 0.0003090863 0.00033286217 0.0001554191 0.00012338425 0.00038516906 0.0007550715 0.0013184345 0.012026835 0.0035576208 0.00011612634 0.00010786736 6.9075155e-05 0.00027054435 0.0001779436 0.0021998936 0.0007152782 0.00019321022 0.0004382268 0.0002918175 0.0010659097 0.001383255 0.00088145904 0.00054934766 0.0069470583 0.0059299516 0.00021223091 0.00034762823 0.00014240494 0.0005320789 0.0010301208 0.004726142 0.0015451811 0.00085893454 0.0003894237 0.00046800918 0.00025627884 9.4602925e-05 9.660511e-05 0.00017443979 0.0057485043 0.011271764 0.00023625705 0.0011637661 0.00026503837 0.0012175747 0.008130096 0.0115921125 0.006588168 0.003775858 0.0006251802 0.000650708 0.0006284337 0.00039517996 0.00032985889 0.00026403728 0.0036091767 0.012268598 0.0011532548 0.00125912 0.0013567262 0.0031864669 0.0107074 0.012698816 0.011717498 0.0030773482 0.001105703 0.000684745 0.00040694277 0.00045199177 0.00034387413 0.0004905337 0.0031606888 0.009689292 0.0015148983 0.0013817534 0.0019884133 0.0034487522 0.012205279 0.015909059 0.026842205 0.008080292 0.0061411816 0.004197567 0.0045159133 0.0034677729 0.002994508 0.0027209604 0.0056146085 0.0056043477 0.0017431466 0.0023443005 0.002425389 0.0030405582 0.010203101 0.011558826 0.041296933 0.008488235 0.008665678 0.008610869 0.009459793 0.009502338 0.0077556884 0.00673733 0.011205191 0.011670948 0.005339059 0.0067390823 0.005852868 0.0075179297 0.013147054 0.014245248 0.019289237 0.0047028665 0.005346317 0.0020026788 0.0017831901 0.0024006118 0.0011750284 0.0015599473 0.011015736 0.03095643 0.014647436 0.015829472 0.01602018 0.021844767 0.02571573 0.024869058 0.033166084 0.013664116 0.011248238 0.004583737 0.002400862 0.0036852595 0.0027041922 0.006142433 0.030851066 0.014857915 0.007900345 0.003964814 0.0038844764 0.009786898 0.010991459 0.0063363938 0.006388701 0.012140209 0.003944542 0.0027990453 0.0015151484 0.0028200683 0.0039480454 0.0034835401 0.01031272 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25708.0 24.3693 626486.0 0.003047155 0.002798147 0.003101426 0.0034254557 0.00331851 0.003412686 0.0037207536 0.0036968105 0.0038771816 0.003771832 0.0036026344 0.0037367155 0.0037047914 0.003723946 0.00410065 0.0043831784 0.0049514277 0.0053265356 0.005500522 0.005353671 0.005521273 0.0053632483 0.0050791237 0.0047694603 0.0048652324 0.0046321866 0.004924292 0.004972178 0.0052690725 0.005082316 0.004793403 0.0047439206 0.004360832 0.004590685 0.0047870185 0.005026449 0.0046162247 0.0051669152 0.0052339556 0.0051637227 0.005412731 0.005861264 0.005897977 0.005945863 0.0071701524 0.007875674 0.0104264105 0.008119894 0.008048065 0.024990184 0.020686815 0.014324343 0.007901214 0.005711221 0.0059570367 0.006627443 0.007851732 0.015218217 0.032905765 0.013649148 0.012052943 0.013893367 0.021721156 0.014086508 0.008755184 0.01056528 0.01343366 0.02301887 0.020053122 0.03201029 0.01451908 0.01755187 0.013224557 0.029078064 0.016182326 0.032929707 0.012576498 0.010696169 0.007955485 0.009530939 0.009409628 0.0069993585 0.0073680817 0.006645001 0.010847808 0.0074542766 0.008640257 0.00873124 0.009095175 0.010159844 0.012151907 0.014728182 0.013262866 0.017851954 0.05589111 0.06883155 6.127313 8.0 0.0 0.0 22.0 1998848.0 2019328.0 0.0 0.0 100.0 0.0 1.0 0.0 0.0 0.0 1541380600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1986560.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1986560.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0002284 0.0 5.836315 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1984896.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 40.0 1986724.0 3072.0 2015232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 544.0 4096.0 0.0 0.0 0.0 0.0