Input: 0.016108649 0.0039113536 0.0038466763 0.003830173 0.0038143378 0.0038411433 0.003763588 0.003838854 0.0038254987 0.0038401894 0.0038189166 0.0038327489 0.003769884 0.0038036534 0.003802795 0.003927666 0.0037550025 0.003811953 0.0038255942 0.0038135746 0.0038071831 0.0038710018 0.0037874365 0.0037775156 0.0037557657 0.003826548 0.003818058 0.0037997423 0.003792874 0.0038089002 0.0038183443 0.0038043212 0.0038710972 0.0037867688 0.0038331302 0.0038120481 0.003930623 0.0038094725 0.0038297914 0.00379793 0.0037920154 0.0037898214 0.0038092819 0.0038426698 0.0038012688 0.0038670907 0.003858696 0.0037791373 0.0037692161 0.0037978345 0.0038014594 0.0038886499 0.0038340844 0.0038169133 0.0037842884 0.003787055 0.0037987884 0.0038242587 0.0037949726 0.003833035 0.0037920154 0.0037845746 0.0037949726 0.0038169133 0.0038111897 0.0038258804 0.0037888675 0.0038309363 0.0038420975 0.0038700479 0.0038254035 0.003825022 0.004121698 0.0038764393 0.0038433375 0.003856025 0.0038827353 0.003865469 0.0038203476 0.0037869595 0.003811953 0.0038204428 0.003819966 0.003766545 0.0038227323 0.0038630841 0.0038340844 0.0038130023 0.003779519 0.0038024134 0.0038544987 0.00378219 0.0038426698 0.003839331 0.0037972622 0.0038478211 0.0037827622 0.0038242587 0.0037600584 0.0037815222 0.003838091 0.0038387587 0.003873959 0.0038561204 0.0038157685 0.0038376139 0.003791443 0.0037822851 0.003825308 0.0037710287 0.0038051798 0.0038255942 0.0037801866 0.0037981207 0.0038335118 0.003841811 0.0038606038 0.0038593637 0.0038056567 0.0038288375 0.0038234 0.0037625385 0.0037930647 0.0037690254 0.0037931602 0.0037826668 0.0038088048 0.0039014325 0.0039229915 0.0038453408 0.003773986 0.0038198705 0.0038314133 0.0038211106 0.003773509 0.0037845746 0.0038852156 0.0038437191 0.0038031766 0.004005985 0.00381367 0.0039244224 0.0037554794 0.0037931602 0.0038435282 0.0037879136 0.0037877227 0.0038029857 0.003788486 0.0037976436 0.0037566242 0.0038345612 0.0037762753 0.0038394264 0.0038269297 0.0038135746 0.0038183443 0.00378591 0.0038483934 0.0038098542 0.003788772 0.0037758937 0.00383914 0.0038017456 0.0038247358 0.0038274068 0.0038147192 0.0038358967 0.003779328 0.0038057521 0.0038275975 0.0037920154 0.0038278836 0.0037850516 0.0038349428 0.003843242 0.0038260713 0.0038340844 0.0037669267 0.003809091 0.003831127 0.0038202521 0.0038666136 0.0038268343 0.0038396171 0.003826739 0.003853831 0.003870334 0.0038271204 0.003862321 0.0039398763 0.003921847 0.003965824 0.0038855018 0.0037996469 0.0038726234 0.003879492 0.0037867688 0.0039004786 0.0038747222 0.004096609 0.003981087 0.003872719 0.0038622257 0.004041853 0.0038496335 0.0038435282 0.0039205113 0.0041146385 0.0038804458 0.0039148834 0.0038767254 0.0038861695 0.0041842763 0.0038070877 0.0038935149 0.0038774887 0.003888745 0.0038439098 0.004064652 0.003769884 0.0038452453 0.0038227323 0.0039229915 0.003921656 0.0037942096 0.003873005 0.0039406396 0.0038299824 0.0039062975 0.003877107 0.003859936 0.003917077 0.0038145285 0.0038179627 0.0038731005 0.0039008602 0.0039351066 0.003812239 0.003957429 0.0039886227 0.0038155778 0.0038358013 0.003988337 0.0037999332 0.00379793 0.003894278 0.003869571 0.0038596499 0.0038052753 0.0038624164 0.0038451501 0.0038338935 0.0038655645 0.0040050307 0.008630887 0.00019362384 1.7649869e-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 0.00018584836 6.153603e-06 6.678329e-07 4.770235e-08 4.770235e-08 4.770235e-08 4.770235e-08 0.0 4.770235e-08 6.2013055e-07 6.2013055e-07 4.2932115e-07 3.3391646e-07 2.862141e-07 9.54047e-08 9.54047e-08 0.00026045484 1.04468145e-05 9.54047e-07 6.678329e-07 8.586423e-07 9.54047e-08 9.54047e-08 5.2472586e-07 1.908094e-07 1.0494517e-06 1.6218798e-06 9.0634467e-07 1.3356658e-06 1.0017493e-06 6.678329e-07 1.2211802e-05 0.00053669914 1.2498015e-05 1.5741775e-06 1.3833682e-06 1.3356658e-06 2.6713317e-06 6.2013055e-07 1.5264752e-06 1.8603916e-06 1.5741775e-06 2.3851176e-06 1.7172846e-06 3.0052481e-06 2.862141e-06 2.6713317e-06 0.00010947689 0.00035070768 1.1543969e-05 1.5264752e-06 1.6218798e-06 1.6695823e-06 9.0634467e-07 4.770235e-07 1.4310705e-06 1.4310705e-06 1.097154e-06 2.0034986e-06 1.0017493e-06 4.245509e-06 2.9575456e-06 4.8656398e-06 0.000100985875 0.0001520751 8.872637e-06 1.6218798e-06 1.5741775e-06 2.2897127e-06 2.4805222e-06 3.816188e-07 3.816188e-07 9.54047e-07 1.8603916e-06 1.6695823e-06 1.5264752e-06 4.484021e-06 2.862141e-06 6.0104962e-06 6.3444127e-06 0.00028731124 1.0017493e-05 3.3868669e-06 2.2897127e-06 3.959295e-06 4.197807e-06 2.9098433e-06 2.194308e-06 1.8126893e-06 3.8638905e-06 5.056449e-06 3.0052481e-06 1.7029739e-05 6.8691384e-06 1.5550966e-05 2.132295e-05 0.0001867547 1.8031487e-05 4.388616e-06 5.8196865e-06 9.397363e-06 9.969791e-06 1.3833682e-06 1.3356658e-06 3.9115926e-06 8.586423e-07 1.9557963e-06 7.1553524e-07 1.7172846e-06 3.3391646e-06 1.908094e-06 4.159645e-05 0.0011584515 2.5043733e-05 1.43584075e-05 1.3738277e-05 1.4978537e-05 1.6552714e-05 2.618859e-05 1.6982036e-05 3.0338695e-05 8.395614e-06 2.905073e-05 4.4076973e-05 0.00012536178 0.00019767854 0.00025797432 0.00056088425 0.0020625065 3.491812e-05 3.3630156e-05 4.5555746e-05 6.072509e-05 4.5794255e-05 0.00011620292 8.066467e-05 5.8435377e-05 6.3014806e-05 9.592943e-05 0.00013146768 0.00027786617 0.00037303238 0.00044816357 0.00095681375 0.0018402613 2.7238042e-05 1.970107e-05 3.2389897e-05 5.68135e-05 4.569885e-05 6.339642e-05 6.783274e-05 5.8816997e-05 6.463668e-05 0.00010475436 0.00021194154 0.00039688355 0.00059384655 0.00023245355 0.0008726668 0.002666752 0.00014143747 0.00012750838 9.879156e-05 0.00012331057 0.0001624265 0.00017420898 0.00016357136 0.00016027989 0.00011467645 0.00020173323 0.00028578477 0.00038524417 0.00057753234 0.00022014635 0.0012352046 0.00070938165 6.4111955e-05 9.8314544e-05 6.983624e-05 9.726509e-05 5.824457e-05 4.6986814e-05 4.4553995e-05 7.637146e-05 3.997457e-05 5.8816997e-05 5.1184623e-05 8.409924e-05 0.00010089047 7.026556e-05 0.00028359046 0.0019289876 0.00028487842 0.000502258 0.00033052958 0.0007750678 0.0002924631 0.00019858488 0.0002252982 0.0005789157 0.0001319924 0.00014100815 0.00031626658 0.00059508684 0.0003617269 0.00025802202 0.00118755 0.0005237718 0.00013933856 0.00021828595 0.0002051678 0.00029112745 0.000108093525 7.665768e-05 9.168391e-05 0.0001525044 4.507872e-05 4.999206e-05 0.00012278584 0.00022982992 0.0001827954 0.00011391321 0.00057519495 0.060497597 0.06007834 0.06018429 0.060111783 0.06023581 0.06034991 0.060303498 0.060346622 0.060273588 0.060441833 0.060310178 0.06035392 0.060309365 0.060188867 0.06040076 0.06073673 48076.0 5.7021384 274136.0 0.010896051 0.009765226 0.010666239 0.010451017 0.010549508 0.010224852 0.010523974 0.010140952 0.010104474 0.010735547 0.010243091 0.010067996 0.009936674 0.010589634 0.010308752 0.010046109 0.010199317 0.010170135 0.01054586 0.010556804 0.010359822 0.010520326 0.010494791 0.010100826 0.010108122 0.010458313 0.010491143 0.010472904 0.010385356 0.010502087 0.010075291 0.0100607 0.0098162955 0.010239443 0.010115417 0.010323343 0.010232148 0.010472904 0.010702717 0.010739195 0.010115417 0.010582339 0.010370765 0.010272274 0.010363469 0.010666239 0.009965857 0.010279569 0.010341582 0.010669886 0.010666239 0.010516678 0.010673534 0.011946625 0.010804856 0.010257683 0.010301456 0.010378061 0.010553156 0.010491143 0.010100826 0.010009631 0.010243091 0.010067996 0.010326991 0.010761082 0.010308752 0.010691773 0.010855925 0.011676686 0.010385356 0.010436426 0.010210261 0.010943473 0.010367117 0.009688621 0.011446873 0.010272274 0.010815799 0.010626113 0.010494791 0.010290513 0.01104926 0.010728252 0.011370269 0.010852277 0.01042913 0.010790264 0.010166487 0.010593282 0.009783465 0.009509878 0.010005983 0.010126361 0.009798056 0.010166487 6.5839715 2.0 0.0 0.0 163.0 10482816.0 450560.0 1.0 0.0 134.0 0.0 1.0 0.0 0.0 0.0 1236927500.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 5.0 2.0 8.0 0.0 5.0 2.0 5.0 2.0 57344.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 299520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5842843 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.74727756 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2548738 0.0 5.0337563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2004.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -71752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57136.0 0.0 299480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 -2.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 61616.0 299480.0 147456.0 2004.0 139264.0 21696.0 15044096.0 0.0 0.0 28.0 9360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1128.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.6216125 0.00140614 0.0012663506 0.0015510342 0.0013653027 0.0013495961 0.0013421354 0.0012969787 0.001301298 0.0013480254 0.0013574493 0.0012749893 0.001314256 0.001308366 0.001293052 0.001295408 0.0013480254 0.0013009054 0.0013032614 0.001316612 0.0013405647 0.0013876847 0.0013511667 0.0012840206 0.0013205387 0.0012851986 0.0013103293 0.001280094 0.0012958007 0.0013032614 0.001275382 0.001301298 0.0014591501 0.0013134707 0.0012914813 0.0012914813 0.0013287846 0.001310722 0.0013433134 0.00128245 0.001307188 0.0012698846 0.001255356 0.0013256434 0.0012804867 0.0012961933 0.0012922667 0.0013739414 0.001357842 0.0012840206 0.0012734187 0.0013362453 0.0012832353 0.00132368 0.0012844133 0.0013028687 0.0013185753 0.0012757747 0.00126478 0.0013299626 0.0014422653 0.0013158267 0.0014532601 0.0013409574 0.0013197534 0.001326036 0.00130012 0.0013052247 0.001356664 0.0018573143 0.0013268214 0.00130012 0.0012961933 0.001344884 0.0012832353 0.001281272 0.001296586 0.0013700147 0.001343706 0.0012910886 0.0013456694 0.0012891253 0.0013009054 0.0013279994 0.00131779 0.0013256434 0.0013119 0.0013075806 0.001313078 0.0013232874 0.001295408 0.0013303553 0.0013704074 0.001322502 0.0012738113 0.0013138633 0.001293052 0.001449726 0.001303654 0.0013829727 0.0014422653 0.0015219768 0.0013653027 0.0013111146 0.0013770827 0.0014477627 0.0013362453 0.0013040467 0.0014556161 0.0013429207 0.001379046 0.0014198833 0.0013829727 0.001308366 0.0014116374 0.0013582347 0.0015451441 0.0014277367 0.0013052247 0.001291874 0.0013099366 0.001326036 0.0012722407 0.0013350673 0.0012498586 0.0013056174 0.001301298 0.0013562713 0.0013405647 0.0013272141 0.001287162 0.001362554 0.0013067953 0.0013417427 0.0013040467 0.001265958 0.0012592827 0.0014666107 0.0012887326 0.0015549609 0.0013170047 0.001354308 0.0012698846 0.0012679213 0.001298942 0.001313078 0.0013064026 0.001318968 0.0013044394 0.0012828427 0.0013228947 0.0013044394 0.0012848059 0.0012875546 0.0012993347 0.0013020834 0.0013586273 0.0012757747 0.0012537853 0.001271848 0.001296586 0.0013323186 0.001267136 0.0012887326 0.0013185753 0.0012667433 0.001324858 0.001256534 0.001342528 0.0013091513 0.00128834 0.001275382 0.0013433134 0.0013433134 0.0012710626 0.0012745967 0.001302476 0.0012891253 0.0012632093 0.001248288 0.0012922667 0.0012773453 0.001289518 0.0012761673 0.0013150413 0.0012384712 0.001310722 0.0012643873 0.0013134707 0.0012687066 0.0013126853 0.0013115073 0.001330748 0.0012887326 0.0013020834 0.0013244654 0.0012899106 0.00134135 0.0012961933 0.0014163494 0.0014371608 0.014889928 0.0013197534 0.001298942 0.0013228947 0.00128245 0.0012745967 0.0013067953 0.0013495961 0.0013417427 0.001278916 0.001322502 0.0013574493 0.0012922667 0.0012781307 0.0013005127 0.001302476 0.0013150413 0.0012997274 0.0012612459 0.0013299626 0.001293052 0.001257712 0.0012749893 0.001303654 0.00130012 0.0013240727 0.001291874 0.0013283921 0.0012961933 0.001303654 0.001265958 0.001344884 0.0013197534 0.0013244654 0.001356664 0.0013433134 0.0012714553 0.0013067953 0.0013044394 0.0013291773 0.0012926593 0.001280094 0.0012726333 0.0013499887 0.0012533927 0.0012993347 0.001322502 0.001330748 0.0013173973 0.001280094 0.0012891253 0.0014128154 0.0013405647 0.00129423 0.029114285 0.033756025 1.1784745e-06 1.9641242e-07 3.9282483e-07 7.8564966e-07 3.9282483e-07 3.9282483e-07 7.8564966e-07 5.8923723e-07 1.1784745e-06 1.9641242e-07 1.1784745e-06 1.4927343e-05 1.1784745e-06 1.5712993e-06 8.249322e-06 0.0015394805 2.356949e-06 5.8923723e-07 1.5712993e-06 0.0 7.8564966e-07 3.9282483e-07 3.5354233e-06 1.3748869e-06 7.8564966e-07 0.0 9.82062e-07 1.4927343e-05 1.1784745e-06 2.9461862e-06 3.8104008e-05 0.00579122 7.660084e-06 5.303135e-06 7.856496e-06 3.339011e-06 7.8564966e-07 5.6959598e-06 4.91031e-06 4.321073e-06 4.91031e-06 5.8923724e-06 5.303135e-06 0.00027733433 5.1067227e-06 7.856496e-06 0.00029854686 0.011428845 1.8855591e-05 1.13919195e-05 2.2391016e-05 2.4355139e-05 1.2373982e-05 1.3748869e-05 1.3945281e-05 1.5320167e-05 7.856496e-06 6.2851973e-06 7.4636714e-06 0.0010278261 1.0213445e-05 1.630223e-05 0.0018439197 0.022217778 2.6712089e-05 1.0999095e-05 2.6515676e-05 6.2851973e-06 6.4816095e-06 7.856496e-06 9.82062e-06 1.3552456e-05 7.660084e-06 8.642146e-06 1.5909405e-05 0.0038993757 1.1195508e-05 2.042689e-05 0.0046842396 0.02553047 3.672912e-05 3.181881e-05 2.3176664e-05 3.083675e-05 2.1408952e-05 2.514079e-05 2.2587426e-05 3.6532707e-05 1.9248417e-05 1.8462766e-05 2.1408952e-05 0.006347067 6.579816e-05 6.0887847e-05 0.014771981 0.008670626 2.8676212e-05 2.5730025e-05 2.7890563e-05 2.3176664e-05 1.8266353e-05 2.199819e-05 2.121254e-05 2.1408952e-05 2.8086975e-05 1.787353e-05 2.121254e-05 0.0022426369 7.070847e-05 6.540533e-05 0.005589701 0.0017553377 1.5320167e-05 0.00015221961 0.00021310746 5.3424177e-05 4.1050193e-05 0.00060848566 0.0002834231 4.733539e-05 1.3552456e-05 3.928248e-05 1.51237555e-05 0.00022803481 2.2783839e-05 2.8479799e-05 0.00050556555 0.17151399 0.0056118956 0.0056105205 0.005557489 0.0056177876 0.0056048245 0.0056790686 0.0055335267 0.005612877 0.0056067887 0.005599914 0.005566524 0.005588915 0.005601682 0.0055957898 0.0055288128 0.30129507 0.011207685 0.01118333 0.0112756435 0.011093569 0.011090427 0.011550425 0.011268573 0.011060572 0.011061554 0.0111063365 0.010966294 0.011055661 0.011026003 0.010999881 0.010981025 0.049357455 0.0023763936 0.002367359 0.0024178368 0.002428443 0.002489331 0.0024469057 0.0024637973 0.002339468 0.00235361 0.0023783578 0.0023314152 0.0023600915 0.0023610736 0.0024029093 0.0024031058 0.0067770137 0.0003877181 0.00037868312 0.00036316653 0.00045489115 0.00042287592 0.00048828125 0.00047060414 0.00040284186 0.0003879145 0.00040225263 0.0003780939 0.00038889656 0.0003796652 0.00038516475 0.00040402033 0.00032074147 2.6712089e-05 2.4551551e-05 3.1425985e-05 0.00013139991 2.6515676e-05 2.9658273e-05 5.06744e-05 0.00017028955 2.5533613e-05 3.1425985e-05 3.574706e-05 3.496141e-05 3.0247511e-05 4.5174853e-05 0.0001916985 0.00029992175 4.7531805e-05 2.8283386e-05 3.201522e-05 0.00023923031 4.713898e-05 6.2655556e-05 9.5652846e-05 0.00021978549 4.419279e-05 4.222867e-05 4.713898e-05 6.0887847e-05 5.3031352e-05 8.9956884e-05 0.00019935859 0.00033743653 9.997391e-05 5.2442112e-05 4.4585617e-05 0.00027242402 0.00010527705 6.599457e-05 0.0001170618 0.00026024645 7.640443e-05 7.031564e-05 5.028158e-05 8.3671686e-05 6.0887847e-05 0.000117651034 0.00019660882 0.001196348 0.0011148369 0.0011289786 0.0011313355 0.0011574583 0.0011655112 0.0010812503 0.0010981418 0.0011158189 0.0011531373 0.0010720189 0.0011160154 0.0011101229 0.0011623687 0.0011531373 0.0011448879 598.0 14.637124 8753.0 0.040443275 0.003998629 0.0042271223 0.0023991775 0.0022849308 0.0018279447 0.001485205 0.0036558893 0.0020564378 0.0023991775 0.001485205 0.0021706843 0.0031989033 0.0034273963 0.0049126013 0.025591226 0.0023991775 0.00297041 0.0036558893 0.002741917 0.001256712 0.0031989033 0.00297041 0.00297041 0.00297041 0.0026276705 0.0019421913 0.0018279447 0.042842455 0.0035416428 0.042728208 0.0028561635 0.0033131498 0.010853422 0.0026276705 0.005483834 0.019878898 0.0043413686 0.0041128756 0.012338627 0.002513424 0.011310408 0.0021706843 0.0026276705 0.0030846568 0.0046841083 0.009939449 0.0038843825 0.011310408 0.002513424 0.003998629 0.0069690393 0.0038843825 0.0033131498 0.0028561635 0.0071975323 0.009025477 0.0035416428 0.0022849308 0.00297041 0.0009139723 0.0022849308 0.0017136981 0.00594082 0.0017136981 0.043413687 0.01222438 0.020678625 0.029818349 0.061693132 0.010282189 0.010853422 0.013595339 0.04695533 0.0049126013 0.008225751 0.04604136 0.01622301 0.031189306 0.030046841 0.024334515 0.0031989033 0.036330402 0.02707643 0.05095396 0.020678625 0.009139723 0.008568491 0.004798355 0.008796984 0.0046841083 0.0020564378 0.0020564378 0.0019421913 0.0019421913 0.0026276705 5.7065725 0.0 5.0 0.0 5.0 2546688.0 8593408.0 0.0 0.0 95.0 0.0 1.0 0.0 0.0 0.0 1456197500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 12.0 0.0 5.0 10.0 5.0 1.0 29184.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2130944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -29184.0 -3072.0 381440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.085034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2464921 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7745874 -5.3638144 1.6057547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2130776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6031468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28702.0 -2720.0 380992.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -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 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 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 6070684.0 380992.0 8208384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 412.0 6070272.0 0.0 0.0 0.0 0.0


Input: 0.19061892 0.0101397205 0.005008961 0.004376044 0.008414967 0.004902387 0.0022576211 0.0026338913 0.00977215 0.0022315215 0.0021814972 0.0012941085 0.0070751845 0.0023554948 0.0012767087 0.009917873 0.006472717 0.0019966245 0.0011592602 0.0010679113 0.0030253862 0.004502192 0.0012114595 0.001094011 0.0025642922 0.0010026621 0.0008460642 0.0008547641 0.0018139267 0.0010026621 0.0007438405 0.0021336477 0.005622303 0.0011309856 0.0012245093 0.0010787862 0.0034190563 0.001405032 0.0017486776 0.0020836233 0.0023902943 0.00094176293 0.0008830387 0.0045609167 0.002033599 0.0037300773 0.0013332579 0.00090478844 0.0036322034 0.001174485 0.0010570365 0.0047305645 0.0018182767 0.0010592114 0.0009613377 0.0008982635 0.0020944981 0.0014267818 0.0009917873 0.00272524 0.0023337451 0.0018422015 0.0008504141 0.0037366021 0.004212921 0.003197209 0.0024555435 0.00233592 0.013052008 0.02306558 0.002190197 0.001713878 0.0025012179 0.0014550564 0.0007982148 0.0007351406 0.0017595525 0.016192667 0.0012832335 0.0009896123 0.008217045 0.0068620373 0.004247721 0.0023272203 0.0022271716 0.010974909 0.0028796631 0.0026447661 0.0018095769 0.0029318624 0.00090696337 0.0011918847 0.0014376566 0.004839313 0.0018900508 0.0016682036 0.0017269279 0.004130272 0.001796527 0.0023881195 0.0031319598 0.0061029717 0.007342706 0.0015833797 0.00389755 0.0032428836 0.006037723 0.0014376566 0.0032341836 0.0020401238 0.0030971603 0.0032689832 0.0024011692 0.00081561453 0.0036235037 0.003673528 0.009915698 0.008264895 0.0017530276 0.0040976475 0.001639929 0.0014463565 0.0011570852 0.00066119153 0.0014420066 0.0037170274 0.0011636101 0.001720403 0.0038953752 0.0025207927 0.0009591627 0.013693625 0.0024446687 0.008180071 0.00073731557 0.0008504141 0.0021205978 0.014132969 0.0017486776 0.041224424 0.0012266843 0.009356731 0.0006764163 0.00061334216 0.0014963809 0.00075254036 0.0005328682 0.00065901654 0.0013332579 0.002272846 0.00075254036 0.0006959911 0.0011505602 0.00094828784 0.0005720177 0.000700341 0.0011418604 0.0007177408 0.0005393931 0.0006916411 0.0015181305 0.0016573288 0.0005763676 0.0008525891 0.0012440841 0.00075254036 0.0007351406 0.00063074194 0.0014441815 0.0007133909 0.00059811736 0.00062421703 0.0010113621 0.0005807176 0.00066771643 0.0010526865 0.0015116057 0.0006655415 0.0006872912 0.00068294123 0.0012723587 0.0008199645 0.0017095282 0.0019379002 0.0021445225 0.0012310343 0.00117666 0.0008699889 0.0030993354 0.0011462104 0.001087486 0.001087486 0.006405293 0.0036278535 0.0034625556 0.004271645 0.003821426 0.0012462591 0.0019400752 0.0051960084 0.0024816433 0.0018400265 0.0010374617 0.0006655415 0.022141216 0.0010309368 0.0010592114 0.0008547641 0.0022837208 0.0014354816 0.0014659312 0.001100536 0.0013158582 0.00063726684 0.00093306304 0.00092653814 0.0019074506 0.001331083 0.0008417142 0.0013898072 0.0017660774 0.00273394 0.0027513397 0.001485506 0.003053661 0.0018944008 0.002272846 0.0007895149 0.0020227241 0.0034516808 0.0009635127 0.0008417142 0.015424903 0.00273829 0.0008917386 0.004921962 0.006968611 0.000702516 0.000937413 0.0011266356 0.003586529 0.0010113621 0.0020575237 0.0012984584 0.02041429 0.0006938161 0.0018661261 0.001720403 0.006564066 0.0013876322 0.0011940597 0.0012484341 0.01247129 0.0019596498 0.0073122564 0.046979398 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017307827 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005013602 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013672965 0.00018855503 0.0007651193 0.00025503975 0.0013514927 0.00011989049 0.0006539481 0.00015694754 0.00017547607 6.43049e-05 8.937291e-05 8.719308e-05 7.084438e-05 0.00016566685 0.00013514927 0.0043694633 0.016033718 0.00019182477 0.0016098022 0.00034441266 0.001550947 0.00012534006 0.001423427 0.0011683872 6.212507e-05 7.956369e-05 3.3787317e-05 0.000110081266 0.00018310547 0.0002485003 0.00018964495 0.0056631905 0.022754123 0.00022888184 0.002241952 0.000869751 0.0042201453 0.0007258824 0.0038375854 0.0024850029 0.00017111642 0.00011771066 0.00032479424 0.000289917 0.00028664726 0.0007825579 0.0003226144 0.007216317 0.0207901 0.00021144321 0.0014201573 0.00084250316 0.0028239659 0.00073896133 0.00453731 0.0036773682 0.00032588415 0.000201634 0.0004207066 0.00025177002 0.0004021781 0.00018855503 0.00014386859 0.00097002304 0.018807547 0.00051988877 0.0020250592 0.0009340559 0.005213056 0.002179827 0.010363988 0.0055999756 0.0004294259 0.00030299596 0.00020381382 0.00015040806 0.00021471296 0.0005177089 0.00033787318 0.0013068063 0.017111642 0.0012817383 0.004890442 0.0012207031 0.0027869088 0.0010310581 0.0051825386 0.0024937221 0.00048392158 0.0004196167 0.00055803574 0.00034550257 0.0003945487 0.0023836407 0.0008915492 0.0053994316 0.0068457467 0.00054386683 0.0015149798 0.00081852503 0.0010375977 0.000516619 0.00059073314 0.00042615618 0.0004446847 0.0004207066 0.0002343314 0.00028664726 0.0004599435 0.0008741106 0.00062997 0.0022125244 0.021065848 0.0025776455 0.0017438616 0.002598354 0.007751465 0.0070146834 0.0026070732 0.002722604 0.0133220125 0.0011051723 0.0009885515 0.0014092581 0.010353088 0.0013656616 0.005785261 0.0113394605 0.08529663 0.013593401 0.008091518 0.009767805 0.035855975 0.027879987 0.0132751465 0.014504569 0.063219346 0.0046789986 0.004221235 0.008126395 0.033694677 0.0070626396 0.025005886 0.04751151 0.030938284 0.006238665 0.004876273 0.0065939766 0.010055542 0.010883876 0.006493705 0.008610317 0.020598276 0.002077375 0.00226811 0.004474095 0.0099661695 0.0050136023 0.009637015 0.019756863 0.009135655 0.0058866227 0.0052948 0.0070757186 0.0053612846 0.0058909827 0.0055073327 0.0056522912 0.00529262 0.0054364884 0.005251203 0.0055487496 0.005113874 0.0057013375 0.005932399 0.00566864 1862.0 12.890978 24003.0 0.020747406 0.0012081823 0.0020414116 0.0012498437 0.007624047 0.0014998125 0.0009165521 0.002916302 0.0015831355 0.0009165521 0.00066658336 0.041161522 0.0017497813 0.0034995626 0.0075823856 0.0012915052 0.010415365 0.0026663335 0.002624672 0.011748532 0.0018331042 0.0016664583 0.0014998125 0.0012915052 0.0025830104 0.0016664583 0.0028329792 0.0021663958 0.0027496563 0.002999625 0.0019580885 0.00770737 0.020622423 0.020205807 0.0054159896 0.016372953 0.09702954 0.007165771 0.0070407866 0.010873641 0.0043327915 0.009665458 0.0006249219 0.0024996875 0.009290505 0.0067491564 0.0030412865 0.003624547 0.011748532 0.0020414116 0.006332542 0.011206932 0.013873266 0.00741574 0.009915427 0.012081823 0.003082948 0.0023330417 0.0017914427 0.0016247969 0.0012081823 0.0011248594 0.001541474 0.0052076825 0.0032079322 0.03337083 0.005624297 0.016747907 0.018747656 0.05765946 0.04245303 0.0098737655 0.0064991876 0.027996501 0.0045827604 0.0027079948 0.026246719 0.012623422 0.025788443 0.030912803 0.012456777 0.0010415365 0.031204432 0.021080699 0.043869518 0.011248594 0.005624297 0.05590968 0.0055826353 0.006915802 0.0014164896 0.0010415365 0.00066658336 0.000999875 0.0017914427 0.0019580885 5.6141553 1.0 0.0 7.0 5.0 459776.0 471040.0 1.0 0.0 401.0 0.0 1.0 0.0 1.0 0.0 1543274000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 16.0 5.0 1.0 5.0 1.0 280576.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -280576.0 0.0 92160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.417986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3346477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.384292 0.0 6.0435534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72886.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -280377.0 0.0 92160.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 -1.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 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 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 1.0 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 -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 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 -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 1.0 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 1.0 -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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 -2.0 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 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 -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 0.0 -2.0 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 -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 -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 -1.0 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 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 2.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 1.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -2.0 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 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 460.0 350196.0 92160.0 376832.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 340272.0 0.0 0.0 0.0 0.0 24.0 340544.0 64.0 340384.0 0.0 0.0 1696.0 286720.0 0.0 0.0 0.0 0.0


Input: 0.1737658 0.0031426612 0.0035010804 0.003184217 0.0048412564 0.0048620347 0.0032777179 0.0030439661 0.0035893866 0.0032413565 0.0030127992 0.0025504904 0.0033712185 0.0030803275 0.0030335772 0.003495886 0.0028777428 0.0028829372 0.0028881317 0.0024102393 0.0028102144 0.0033244682 0.0031218834 0.0030491606 0.0032777179 0.002934882 0.0031062998 0.0030283825 0.0030439661 0.002555685 0.0034023854 0.0029816322 0.003345246 0.004165974 0.0031478556 0.0030907164 0.0039010555 0.003314079 0.002836187 0.002893326 0.0028621592 0.0027219083 0.002763464 0.0029400764 0.0033192737 0.0030907164 0.0035166638 0.0031686337 0.0032933012 0.003994556 0.0030699384 0.0026699635 0.0036309424 0.0028309925 0.0031374667 0.003204995 0.003023188 0.003023188 0.0033971907 0.003334857 0.0031478556 0.003464719 0.002773853 0.002924493 0.008882564 0.002893326 0.0033192737 0.0028829372 0.0035738032 0.0032413565 0.003204995 0.0028257978 0.002675158 0.0029400764 0.0030595495 0.0027790475 0.003464719 0.0032984957 0.0028569647 0.0031634392 0.0038543053 0.0032569398 0.0032569398 0.003433552 0.002966049 0.003495886 0.0031322723 0.003184217 0.0030803275 0.0028517703 0.0036776927 0.0028829372 0.0026803524 0.003345246 0.0034387468 0.003786777 0.0038698886 0.0032621343 0.0032621343 0.002773853 0.0034906915 0.0040828623 0.003246551 0.003646526 0.0048828125 0.003376413 0.0029089095 0.002784242 0.0035166638 0.0039633894 0.0035166638 0.0033712185 0.0033504404 0.0028829372 0.0036049702 0.004025723 0.003786777 0.0032829123 0.003054355 0.002623213 0.0031478556 0.0037608044 0.0033971907 0.0032101895 0.0034179688 0.0038543053 0.0028829372 0.0029192986 0.0028673536 0.0027322972 0.0032829123 0.0036621094 0.0026907413 0.0031946062 0.0028102144 0.0028309925 0.0031322723 0.0028673536 0.0032569398 0.0032984957 0.0027271027 0.003023188 0.0028413814 0.004607505 0.003958195 0.0028102144 0.0031738281 0.002903715 0.003075133 0.0031270778 0.0028985206 0.0027686586 0.0025608793 0.0030699384 0.0033504404 0.0035010804 0.0031946062 0.0029608544 0.003116689 0.0033192737 0.0044932263 0.0024310173 0.0027374916 0.0025660738 0.0033919963 0.003085522 0.0025660738 0.0027271027 0.0032257729 0.0026699635 0.0026907413 0.0027374916 0.0032257729 0.0034387468 0.0030024103 0.002924493 0.0031114942 0.0035530252 0.002784242 0.003095911 0.0028413814 0.0032881068 0.0030283825 0.0026959358 0.0026699635 0.003334857 0.0032101895 0.0059372922 0.0039114445 0.0042127245 0.0029141041 0.003236162 0.0046438663 0.0028881317 0.0028985206 0.003064744 0.0032933012 0.0030179936 0.002836187 0.0037088597 0.003246551 0.0028829372 0.0028881317 0.0030127992 0.0027478808 0.00330369 0.0028621592 0.003054355 0.0032309673 0.0028102144 0.0031634392 0.0026076296 0.0034491357 0.0032257729 0.0026803524 0.0034595246 0.0033088846 0.002763464 0.0026855469 0.0028985206 0.0031218834 0.0031738281 0.0026595744 0.0030595495 0.0038491108 0.0028102144 0.0027530752 0.0028881317 0.0029400764 0.0028413814 0.003184217 0.003075133 0.003064744 0.0029400764 0.005817819 0.0026647688 0.0035114693 0.002903715 0.0033608295 0.0034699135 0.002903715 0.0028621592 0.0027115194 0.0028102144 0.0028985206 0.0028413814 0.0032725232 0.0029868267 0.0028725483 0.0032517454 0.00265438 0.0028206033 0.0036621094 0.0032517454 0.0073865526 0.0075060255 0.112299465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048958682 4.7000332e-05 4.7000332e-05 2.0889038e-05 4.4389206e-05 2.8722427e-05 0.000112278576 6.527824e-05 1.0444519e-05 1.5666777e-05 2.6111297e-06 1.5666777e-05 7.833389e-06 0.0 1.0444519e-05 2.3500166e-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 0.004042029 2.3500166e-05 2.3500166e-05 2.0889038e-05 0.00018800133 8.355615e-05 0.00051439257 0.00040994736 1.0444519e-05 2.6111297e-06 2.6111297e-06 5.2222595e-06 5.2222595e-06 2.6111297e-06 5.2222595e-06 7.833389e-06 0.007172773 0.00011750084 9.138954e-05 0.000101834055 0.00013055648 9.4000665e-05 0.000141001 6.266711e-05 0.000114889706 0.00015144552 8.355615e-05 0.00013838988 5.2222593e-05 0.00014361214 0.000104445186 0.001994903 0.00388275 5.4833723e-05 6.527824e-05 7.05005e-05 8.355615e-05 8.355615e-05 0.0005013369 8.094502e-05 4.9611463e-05 5.4833723e-05 7.05005e-05 7.572276e-05 6.266711e-05 7.05005e-05 7.833389e-05 6.266711e-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 0.008259003 0.00025066844 0.00043866978 0.000342058 0.0008068391 0.00056661514 0.0021097928 0.0014648438 0.00020105699 0.00021672377 0.00021672377 0.00025066844 0.00024022393 0.00020889037 0.00023500167 0.00023500167 0.004005473 0.00021672377 0.00020889037 0.00029244652 0.00022194603 0.0002637241 0.000282002 0.0007755055 0.000282002 0.00020627925 0.00020366811 0.00022194603 0.00016189004 0.00025066844 0.00022716828 0.0028748538 0.004250919 0.00024283506 0.00025066844 0.00025066844 0.00065800466 0.00049872574 0.0016867898 0.0008068391 0.00022977941 0.00023239054 0.00022977941 0.00029244652 0.00025327958 0.000282002 0.00027677976 0.00025327958 0.016350893 0.0008381726 0.002115015 0.0017807904 0.0052666487 0.0006188377 0.0020915149 0.0011227857 0.0023421834 0.0012115642 0.0012768424 0.004470254 0.0021071816 0.0001671123 0.0032639122 0.0031046332 0.0010627297 0.0001592789 0.000114889706 0.0002976688 0.0001488344 0.00013838988 0.0002637241 0.00095567346 8.355615e-05 0.000109667446 0.000112278576 0.00019844585 0.00012533422 7.833389e-05 0.00027416862 0.0012246198 0.0058672084 0.0007285052 0.00091911765 0.0009138954 0.0014831217 0.0008982286 0.0010836188 0.001128008 0.0009347844 0.00075983873 0.00077289436 0.0013395095 0.0009138954 0.0006318934 0.001167175 0.0018486799 0.04921196 0.045224767 0.047029056 0.04708128 0.04627966 0.049300738 0.047355447 0.04654861 0.045822714 0.04707867 0.045196045 0.04708911 0.046681777 0.046720944 0.046700053 0.045342267 812.0 7.1022167 5767.0 0.01838044 0.008149818 0.0057222126 0.00919022 0.0032946072 0.008843419 0.0071094157 0.01352523 0.008843419 0.0046818103 0.006762615 0.00450841 0.0078030173 0.0058956128 0.00919022 0.004855211 0.008670019 0.009537021 0.011964627 0.0062424135 0.010404023 0.0039882087 0.012138027 0.0117912255 0.008843419 0.0078030173 0.012138027 0.0062424135 0.005548812 0.014912433 0.0052020117 0.010057222 0.0043350095 0.010057222 0.005548812 0.014565632 0.0071094157 0.0078030173 0.0078030173 0.0076296167 0.006415814 0.0046818103 0.012311427 0.010750824 0.011097624 0.010404023 0.0076296167 0.008149818 0.009363621 0.0062424135 0.0052020117 0.016993238 0.010230622 0.009883822 0.008496619 0.016299635 0.0065892143 0.0034680075 0.011097624 0.0046818103 0.0065892143 0.006936015 0.0078030173 0.01820704 0.0076296167 0.01820704 0.00901682 0.012484827 0.016299635 0.043696895 0.0105774235 0.015085833 0.0117912255 0.024102652 0.0046818103 0.0065892143 0.016819837 0.015259233 0.01786024 0.018900642 0.008149818 0.007976417 0.033119474 0.01786024 0.03277267 0.015259233 0.009363621 0.0046818103 0.0130050285 0.010750824 0.008323219 0.004855211 0.009710422 0.0076296167 0.0046818103 0.0062424135 6.373234 0.0 0.0 0.0 4.0 192512.0 192512.0 1.0 2.0 77.0 0.0 1.0 0.0 0.0 0.0 1445225000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 20480.0 4096.0 4096.0 4.0 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 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 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.485467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.492121 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1648483 0.0 7.9974103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2707.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60508.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17893.0 0.0 100125.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 27204.0 160.0 25164.0 100125.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 384.0 768.0 0.0 0.0


Input: 0.0068991953 0.0038392022 0.0038429217 0.0038077286 0.0038648578 0.0038614243 0.0038479767 0.0038559882 0.0038513148 0.003869722 0.0039059643 0.003896522 0.0038145003 0.003927614 0.0037809284 0.0039449725 0.0038064888 0.0038474996 0.0038580862 0.0038708665 0.003874586 0.0039231316 0.0038215579 0.0038499795 0.0038290925 0.003873823 0.0038937563 0.0038639042 0.0038575141 0.0038405375 0.0037970466 0.0038682914 0.0038280434 0.0038349102 0.0038622827 0.003889846 0.003907204 0.003909207 0.0038721063 0.0038850773 0.0038464507 0.0039054875 0.0038722018 0.0038894645 0.0038622827 0.0038928979 0.0038751583 0.0038805946 0.0038069657 0.0038755399 0.003887557 0.0039505996 0.003922369 0.0039013862 0.0038580862 0.0039256113 0.0038324306 0.0038464507 0.0038376763 0.0038630457 0.003836341 0.0038694357 0.0038596124 0.0039175046 0.0039040567 0.0038627596 0.0038770658 0.0039075855 0.0038838375 0.0039075855 0.0038801178 0.0038670516 0.0038629505 0.0039017678 0.0038912767 0.0038633319 0.003875063 0.0039190305 0.0038744907 0.003945163 0.0038991927 0.0038953777 0.003889369 0.0039197938 0.003891658 0.003926088 0.003901291 0.0039103515 0.0038548436 0.0038846957 0.0038775427 0.0038857448 0.0038482628 0.0039184582 0.0038861264 0.0039159786 0.0038176475 0.0038882247 0.0038834559 0.0039123544 0.0039125453 0.0039847437 0.003924944 0.0038876524 0.0039147385 0.0039202706 0.0039244667 0.0039236085 0.0038832652 0.003829188 0.003922464 0.003930189 0.0038277572 0.0038856496 0.0039014816 0.0039166464 0.0039564176 0.0039338134 0.003875349 0.0039547007 0.0038220347 0.0038680052 0.003893184 0.0038919442 0.0039187446 0.003887557 0.0039645243 0.0039872234 0.003935816 0.0038216533 0.0038744907 0.0038762074 0.0038693405 0.0039040567 0.003893947 0.0038140232 0.0039013862 0.003909684 0.003876589 0.0039605186 0.0039030076 0.003964429 0.003864381 0.003864381 0.0038803085 0.0039094933 0.003935816 0.003899765 0.0038601845 0.0038604706 0.0039071087 0.0038854587 0.0038466414 0.0038764935 0.0038882247 0.0039294264 0.0038484535 0.0038766842 0.003895473 0.003954224 0.0038775427 0.003880404 0.003917123 0.003903866 0.0039029124 0.0039025308 0.0039179814 0.003908539 0.0039007186 0.0039036754 0.0039195074 0.0039019585 0.0038607568 0.003958611 0.0039091115 0.003915597 0.0038761122 0.0038553204 0.003887557 0.003896713 0.0039075855 0.003909684 0.0038478812 0.0038842189 0.0038300462 0.003895187 0.0038948054 0.0039381054 0.0039047245 0.0039567035 0.0039200797 0.003971105 0.0038690544 0.0038735368 0.0038311908 0.0038727738 0.0038915628 0.003913976 0.0039011003 0.0039059643 0.0038719156 0.003906346 0.0038853635 0.0039190305 0.0039075855 0.0038560834 0.0039042474 0.003918363 0.003889369 0.0039227502 0.003940585 0.0039348626 0.003852364 0.0038971899 0.0038832652 0.003920652 0.0038464507 0.0038923258 0.003881453 0.0038625689 0.003895187 0.003920652 0.0039261836 0.003967195 0.003857037 0.003872488 0.0038803085 0.003908444 0.0038948054 0.003918649 0.0039106375 0.0039169323 0.0039311433 0.003943351 0.00387306 0.00390358 0.0038663838 0.0038642855 0.003919412 0.003977972 0.00386028 0.00388069 0.0038970944 0.0039330507 0.003928663 0.0039263745 0.0039094933 0.003966527 0.0039690067 0.0039190305 0.0039896076 0.0039597554 0.0039623305 0.004005058 0.003975206 0.004509875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018795824 3.195433e-06 5.7231637e-07 1.9077213e-07 1.9077213e-07 1.9077213e-07 4.769303e-07 1.9077213e-07 9.538606e-08 0.0 0.0 4.769303e-08 1.4784839e-06 0.0 0.0 7.630885e-07 0.0006253987 7.4401128e-06 7.917043e-06 6.152401e-06 1.8123352e-06 2.5754237e-06 5.961629e-06 2.8138888e-06 5.2939263e-06 2.5754237e-06 3.7200564e-06 3.052354e-06 2.8615818e-06 1.9554143e-06 0.0 4.1969865e-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 0.00016616251 2.4323447e-06 9.538606e-07 3.6723634e-06 4.673917e-06 3.195433e-06 4.0539076e-06 9.061676e-07 1.7646421e-06 1.4307909e-07 1.9077213e-07 2.8615818e-07 1.4307909e-06 2.0984933e-06 1.9554143e-06 1.4307909e-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 0.0001491838 6.343173e-06 1.7169491e-06 9.061676e-07 6.009322e-06 3.9108286e-06 2.1461865e-06 1.526177e-06 5.3416193e-06 6.200094e-07 1.0492466e-06 9.538606e-07 1.3830979e-06 4.8646893e-06 7.821657e-06 1.57387e-06 0.00041616938 9.061676e-07 5.6230085e-05 7.201648e-06 1.0301695e-05 9.157062e-06 0.00014403295 8.5895146e-05 2.799581e-05 1.4307909e-07 1.9077213e-07 9.538606e-07 1.526177e-06 0.0 2.0031073e-06 1.8695668e-05 0.0001690241 3.2908192e-06 1.57387e-06 5.1985403e-06 3.195433e-06 3.100047e-06 1.5643314e-05 1.9363371e-05 4.0348303e-05 3.8154425e-07 4.2923728e-07 1.1446327e-06 2.6708096e-06 2.0508003e-06 4.483145e-06 2.1128013e-05 0.00022043718 6.438559e-06 5.961629e-06 5.7231637e-06 3.2145104e-05 2.060339e-05 8.451205e-05 4.2542182e-05 3.7677494e-06 5.7231637e-06 9.490913e-06 1.0635546e-05 9.967844e-06 7.297034e-06 7.964736e-06 1.51663835e-05 0.00014551144 2.2892655e-06 7.297034e-06 3.195433e-06 7.344727e-06 6.057015e-06 2.3703436e-05 1.50233045e-05 5.6754707e-06 6.7724104e-06 2.1175705e-05 8.34628e-06 9.681686e-06 5.6754707e-06 4.9123823e-06 2.0364923e-05 0.00025673158 6.6293314e-06 6.9154894e-06 6.343173e-06 2.1128013e-05 1.7169492e-05 4.4020668e-05 3.4768218e-05 3.934675e-05 2.0841855e-05 3.6008238e-05 2.8663511e-05 3.190664e-05 2.6088088e-05 2.9760451e-05 7.740579e-05 0.00032006792 1.3354049e-05 2.0269537e-05 1.6644868e-05 2.3512664e-05 1.9744915e-05 4.3972974e-05 3.7534417e-05 3.4863606e-05 3.9585215e-05 5.398851e-05 5.4513133e-05 6.0999388e-05 4.912382e-05 4.578531e-05 0.00014279294 0.0004713979 4.0825234e-05 2.5372692e-05 5.0554612e-05 8.885212e-05 7.6976554e-05 4.4783756e-05 6.2096326e-05 0.00016091629 6.848719e-05 8.780287e-05 9.075984e-05 0.00012762655 8.651516e-05 9.958305e-05 0.00027328107 0.00044435597 9.133216e-05 5.9520902e-05 8.432128e-05 0.00014136215 0.00012991582 7.220725e-05 8.236586e-05 0.0002154771 5.4656215e-05 6.934567e-05 4.974383e-05 0.000116800235 4.607147e-05 9.2572176e-05 0.00020345848 0.061202988 0.061493535 0.06182109 0.061802726 0.06188481 0.06201544 0.061974898 0.062101763 0.06169685 0.062056646 0.06219996 0.062128473 0.061861582 0.062204782 0.062144354 0.062814675 50569.0 5.725939 289555.0 0.00955259 0.009918668 0.010533405 0.010633558 0.010602476 0.011376077 0.010516137 0.009970472 0.010112069 0.010612837 0.01061629 0.010070626 0.009973926 0.010377994 0.01018114 0.01013279 0.010322737 0.010322737 0.010678455 0.010664641 0.010826958 0.010733712 0.010433251 0.010467786 0.010049904 0.010264026 0.009960111 0.009946297 0.009970472 0.01013279 0.010125883 0.010129336 0.009714907 0.010754433 0.010429798 0.010985823 0.010844227 0.01065428 0.010533405 0.010298561 0.01031583 0.010754433 0.010757887 0.010453972 0.010198408 0.01065428 0.01031583 0.010474694 0.010699176 0.011013452 0.010605929 0.011130873 0.011020359 0.011096338 0.010319283 0.010467786 0.010125883 0.010298561 0.010395261 0.01012243 0.010001554 0.01021913 0.010267479 0.010108615 0.009877225 0.010868401 0.010436704 0.010550672 0.010892577 0.012166946 0.011041081 0.010495415 0.010481601 0.010661187 0.010346912 0.010029183 0.010730258 0.010429798 0.010678455 0.010029183 0.009904854 0.010160418 0.010930566 0.010795876 0.010968555 0.010578301 0.010340004 0.010015368 0.009483518 0.010585208 0.010457426 0.010246758 0.010094801 0.009901401 0.009849597 0.009728721 6.5838466 0.0 0.0 0.0 168.0 10484991.0 18001920.0 1.0 0.0 150.0 0.0 1.0 0.0 0.0 0.0 4103416300.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 12.0 10.0 0.0 6.0 0.0 25600.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 -4608.0 17946624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9706397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3502746 -5.352595 7.9989834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25436.0 -4178.0 17948672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 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 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 0.0 0.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 3.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 41612.0 17946116.0 49152.0 0.0 0.0 0.0 0.0 2192.0 17997824.0 84.0 5136.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 4104.0 0.0 0.0 648.0 40960.0 0.0 0.0 0.0 0.0


Input: 0.005083386 0.0014417202 0.010396003 0.005873939 0.0061506117 0.0022259755 0.00077879755 0.0024312758 0.0015710299 0.0010155856 0.00077501906 0.0034103356 0.009222559 0.000710784 0.0023229579 0.0047554933 0.0020328506 0.0021692975 0.0016591956 0.01004292 0.001374966 0.0017423234 0.0008409334 0.0047189672 0.0022154797 0.0017687731 0.0033901834 0.010813321 0.00144214 0.0020261332 0.0026378357 0.0056564636 0.0039586425 0.0013094714 0.013614473 0.0036555205 0.0021075816 0.0026743615 0.000986197 0.012297025 0.0074029854 0.0016562568 0.0048125912 0.0042374143 0.007677139 0.0017335068 0.0008115448 0.0030648098 0.0050619743 0.0032041958 0.0014379416 0.004648015 0.002258723 0.0011184457 0.0024543668 0.0030916794 0.0014967187 0.0008913139 0.0021982663 0.0045993137 0.0009899755 0.00068685325 0.0014887418 0.005499864 0.010132345 0.0020748342 0.0023007065 0.0054666973 0.0012322215 0.00088543614 0.003942689 0.0030329023 0.0022696387 0.001078981 0.000906428 0.003076985 0.0046362597 0.0018309089 0.0014538954 0.008042397 0.0015181304 0.0013501956 0.005645128 0.0039951685 0.0052286494 0.0038893695 0.0038843316 0.037484724 0.008829591 0.002825083 0.015779153 0.0043423735 0.003087481 0.002057621 0.0019812107 0.003582049 0.0017435829 0.00093329756 0.0011117283 0.012810905 0.0046547325 0.00089299324 0.0012414579 0.01050516 0.0006612432 0.0017523995 0.0016843859 0.003242401 0.0009589076 0.00079307205 0.0026697433 0.0021751754 0.0039615817 0.0015042758 0.004658511 0.0025194415 0.006471367 0.0018560992 0.00096268614 0.0019178152 0.0010588288 0.00072253944 0.00069776905 0.0015017568 0.004675724 0.0011511929 0.0005886114 0.0022616617 0.002351087 0.0010021508 0.0024547868 0.0032566753 0.0016831263 0.0006646019 0.0011440557 0.0039074225 0.00579417 0.0011990544 0.01320975 0.010951027 0.0014866426 0.00076620246 0.0017956427 0.013324785 0.0009610068 0.0011839402 0.0016092351 0.0054583005 0.0011713451 0.0009618465 0.0007410122 0.0024585652 0.002350667 0.0011935965 0.0032016768 0.006267746 0.008687686 0.00360514 0.0035476224 0.03571679 0.0031454186 0.0016579361 0.0021739157 0.005370974 0.0034338464 0.0013052732 0.0021797935 0.008750242 0.0015072147 0.0018863275 0.0028494333 0.0063903383 0.0027822596 0.003162212 0.0020022024 0.0046370993 0.0011579103 0.0020975054 0.001792284 0.0051770094 0.005585091 0.0031617922 0.0035367066 0.0059969514 0.00051723915 0.0033943818 0.0007531875 0.002968667 0.0019094185 0.0018615571 0.00079307205 0.0060687433 0.0022868519 0.0018796101 0.0016822867 0.0021596414 0.004837781 0.0011977948 0.0013648899 0.0037495638 0.0020840706 0.0031748072 0.0015861441 0.012444807 0.00229231 0.0036038805 0.0012246644 0.0043579075 0.0045699254 0.002387193 0.0028540518 0.0062807607 0.0020878492 0.0014228275 0.009492094 0.03391275 0.00538147 0.0041446304 0.0014803451 0.0062979744 0.0021768545 0.0014971386 0.0013573329 0.0051077367 0.0024963506 0.0022230367 0.00094001496 0.0043150843 0.0030484363 0.0014517962 0.0025878751 0.005534711 0.003497242 0.002142428 0.0022927297 0.006072102 0.0010126467 0.0007531875 0.0010029905 0.0033183913 0.0027381766 0.0030056129 0.0025916535 0.01328742 0.0008971916 0.0006499076 0.0017461019 0.008934131 0.002080712 0.00223983 0.0022305937 0.009806972 0.0059474106 0.0020404076 0.0055918084 0.041023947 0.00086021505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003624832 3.5702285e-06 1.1130713e-05 1.470094e-06 5.4603493e-06 3.1502016e-06 9.240592e-06 1.6591062e-05 2.940188e-06 1.6801075e-06 2.940188e-06 3.5702285e-06 1.6801075e-06 1.2600807e-06 1.470094e-06 1.470094e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00022471439 1.28108195e-05 1.5330981e-05 7.140457e-06 1.5540994e-05 2.1631384e-05 1.4910955e-05 4.200269e-06 1.1550739e-05 1.3020834e-05 1.0290659e-05 1.2390793e-05 1.344086e-05 1.7641129e-05 6.300403e-06 2.9191868e-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 0.00018565188 0.00015519993 0.00023941533 9.156586e-05 5.3973454e-05 0.00043892808 0.00012579805 0.0002455057 0.00014910955 0.00028729838 6.531418e-05 0.00015603998 9.471606e-05 0.0003952453 3.4022178e-05 0.00029296876 0.0019296035 0.0015872816 0.0024781586 0.00092111895 0.00079007057 0.004409022 0.0012466398 0.0016200437 0.0019797967 0.00375147 0.0013235047 0.001202747 0.00088646676 0.0040893815 0.0008188424 0.004084131 0.054473076 0.052786667 0.069258444 0.040110886 0.051505588 0.10062563 0.04643565 0.034602653 0.062868364 0.07507162 0.051844127 0.045395244 0.048940063 0.08597257 0.041828167 0.100431785 6215.0 5.4596944 33932.0 0.01211246 0.0034186018 0.041642107 0.015973123 0.0014440645 0.0072497935 0.0011788283 0.03303666 0.028232936 0.0012377696 0.011552516 0.00792762 0.013438642 0.0026523636 0.0011493575 0.012141931 0.03336084 0.009430626 0.014116468 0.012024048 0.0031238948 0.0009135919 0.006542497 0.010255806 0.0036838383 0.0017682423 0.0033596605 0.0115230465 0.014971118 0.00088412117 0.0009725333 0.019038076 0.009784275 0.0017977131 0.0051573734 0.015973123 0.0023281858 0.0007957091 0.005805729 0.0150890015 0.025639514 0.0018271838 0.002121891 0.009430626 0.0076623834 0.003094424 0.0027702465 0.015737357 0.0031238948 0.0031828363 0.0083696805 0.008399151 0.023429211 0.0066603795 0.011434634 0.062448427 0.06913827 0.0175056 0.046475302 0.005776258 0.0053636683 0.011847224 0.0038017211 0.016061535 0.010403159 0.0020629494 0.0025344808 0.009135919 0.025963692 0.001002004 0.002416598 0.027849818 0.0016503596 0.0052752565 0.004420606 0.0070434986 0.0026818342 0.0033596605 0.0027702465 0.0066603795 0.008517034 0.0060709654 0.019863255 0.006188848 0.010756807 0.008074974 0.0040669576 0.008399151 0.0050394908 0.0012377696 0.0016208888 0.004833196 0.020511612 0.0027407757 0.0011493575 0.007308735 5.8833694 0.0 0.0 0.0 31.0 2381877.0 26615808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1307077200.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 4767744.0 1024.0 4096.0 5.0 0.0 0.0 3.0 5.0 2466816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3584.0 0.0 0.0 0.0 0.0 24125440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3361793 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2469888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 24125440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 504.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 569187.0 26035148.0 799.0 24134192.0 504.0 24129536.0 0.0 0.0 3032.0 26601472.0 8.0 24134648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0