Input: 0.11046896 0.005774223 0.0026846982 0.002221029 0.004663567 0.0020068756 0.0016863525 0.0012368283 0.004784647 0.00087273907 0.011943936 0.0008956538 0.00335658 0.0012147622 0.0010246551 0.002356254 0.007220678 0.0015678185 0.0008147451 0.00075844844 0.0026482043 0.00341712 0.007190125 0.00059351913 0.0017975313 0.00072761264 0.0006189799 0.0005737163 0.0015129363 0.0005196829 0.0005533477 0.0006625462 0.08771749 0.0004840378 0.018088754 0.00052420923 0.012502942 0.0005434463 0.00050186034 0.00046706392 0.001220986 0.0005075183 0.00052166317 0.0027271328 0.0020710933 0.0039551915 0.002652165 0.0043297475 0.014738682 0.0131994365 0.008135569 0.0066005667 0.0073884367 0.008108128 0.00589304 0.0043105106 0.0055182003 0.0057343342 0.017898647 0.0013649809 0.0027868242 0.00933364 0.002295997 0.000555328 0.0018391173 0.007643327 0.0048573515 0.005914257 0.011676598 0.014669372 0.0047076987 0.0017327478 0.0018229921 0.0026337765 0.0015200088 0.002223858 0.0039325594 0.00205808 0.0010314446 0.00061643386 0.0067383377 0.005303481 0.0024812948 0.0033862842 0.0036612607 0.0031608148 0.0077242358 0.004371334 0.0011805317 0.0011545051 0.00048969575 0.00074656674 0.0028006863 0.007326482 0.001383935 0.0010144708 0.0010093786 0.009889252 0.0024179257 0.0060596666 0.012578476 0.01430981 0.0046366914 0.0040533566 0.011889338 0.011694703 0.0023921821 0.0005878612 0.003528016 0.002845384 0.013355878 0.013698185 0.0053467643 0.00060822984 0.0051006437 0.018370803 0.029696327 0.0028906476 0.011016315 0.0058217496 0.0033166914 0.00073807983 0.00055617664 0.00040906994 0.0011414918 0.0008571797 0.0007824947 0.00085435074 0.0015570683 0.0010436092 0.0006455723 0.0067224954 0.0021067385 0.0024682814 0.0007575998 0.0004342478 0.0011412089 0.004354077 0.0007058295 0.011478287 0.0015542394 0.005309705 0.0008215346 0.000461406 0.0009700559 0.0004249122 0.00054684107 0.0006826319 0.0010071155 0.0005428805 0.0006155852 0.00040539226 0.00085406785 0.00045546514 0.0004713074 0.00041868843 0.0008871669 0.00038360915 0.0004928076 0.00045263616 0.0010730305 0.0018063012 0.0004939392 0.0015864897 0.00079720543 0.00058078876 0.0005174197 0.0004113331 0.00084416644 0.00045348486 0.00054684107 0.00043368203 0.0009677927 0.00046480075 0.0005174197 0.0021678442 0.0075242273 0.0005731505 0.00054882135 0.00048743255 0.00081389636 0.00047272188 0.000718277 0.0005550451 0.0013615862 0.00666337 0.0005284527 0.000494505 0.00082040305 0.0004461295 0.0007083756 0.0005078012 0.0050268075 0.0017154911 0.0015016204 0.0015932793 0.0027033694 0.0007287442 0.0057083075 0.002057797 0.0014603174 0.0011182942 0.0009052723 0.0007641064 0.0058919084 0.0006472697 0.0012806774 0.0010373854 0.0016034635 0.0008079555 0.001105281 0.0007032834 0.0009793915 0.0007270468 0.00067952 0.0009810888 0.001226644 0.00080427784 0.00063142745 0.00072252046 0.001105281 0.00059804553 0.0006393486 0.00055080163 0.0014221262 0.000588427 0.0007295929 0.0006127562 0.001143472 0.00055080163 0.0010724647 0.00065688824 0.010186859 0.005249165 0.00057965715 0.0013081185 0.0018773085 0.0005853151 0.0010099444 0.0013364082 0.0043464387 0.0016959711 0.0013061382 0.00060794695 0.0014563568 0.0019757568 0.0025424007 0.001444758 0.0015771542 0.00074741547 0.00094912143 0.00087952864 0.0018744795 0.00087924575 0.0056647416 0.041774355 0.0032003575 1.8393672e-06 0.0017032541 4.3861833e-06 1.5563876e-06 2.4053263e-06 5.942571e-06 3.8202243e-06 0.0 0.0 4.2446936e-07 1.5563876e-06 0.0 2.8297958e-07 1.4148979e-07 1.4148979e-07 0.0014164542 1.8818142e-05 0.0025113022 1.287557e-05 7.215979e-06 1.980857e-05 1.952559e-05 1.6412816e-05 1.4148978e-06 1.6978775e-06 3.961714e-06 1.5422387e-05 7.074489e-07 2.2638367e-06 1.980857e-06 6.9329994e-06 0.0028975692 7.0461916e-05 0.00054374523 7.357469e-06 6.3670404e-06 4.1597996e-05 4.9521427e-06 5.3766116e-06 2.2638365e-05 5.5181017e-06 1.34415295e-05 3.141073e-05 3.8202243e-06 4.8106526e-06 4.8106526e-06 0.000103146056 0.002901814 9.126091e-05 0.0010112275 4.2022468e-05 0.00023388262 0.00016455262 4.1739488e-05 3.367457e-05 1.4856428e-05 8.489387e-07 2.1930917e-05 6.7632114e-05 1.8393672e-06 1.1319183e-06 3.395755e-06 0.0005840698 0.0041991337 0.00015917601 0.0026396334 0.00014941322 5.6171444e-05 0.00014842278 0.0001564877 0.00012309612 5.277569e-05 1.5139407e-05 4.2022468e-05 0.00011036203 2.575114e-05 1.7403243e-05 7.414065e-05 0.0013035454 0.0040982515 0.000228506 0.0015678483 0.00013696212 7.272575e-05 0.00021563044 0.0001689388 0.000117436524 1.6978775e-05 2.2638365e-05 5.305867e-05 0.00016313772 2.2779855e-05 1.7544733e-05 0.00041739485 0.001952842 0.0034458423 0.00031156052 0.0017120264 0.00016285475 8.630877e-05 0.0002935913 0.00015691217 0.000124794 5.6029956e-05 4.1739488e-05 8.093216e-05 0.00022341237 4.8955466e-05 2.9005407e-05 0.00019313356 0.0011464917 0.012529487 0.0007590927 0.004342463 0.0007500374 0.00074013305 0.0010341489 0.0013914106 0.0008905367 0.00017813564 0.00019709527 0.00023246772 0.00044908858 0.00015563876 0.00012875571 0.0001620058 0.002138901 0.012536136 0.0015300706 0.0022263417 0.0006536828 0.0016332166 0.0017856011 0.0016333581 0.0010528255 0.00018195587 0.00030830625 0.00039659586 0.0010555139 0.00035995 0.00046465246 0.00029005407 0.003448389 0.021700995 0.0026370867 0.09271415 0.09721438 0.039277 0.0094881635 0.08977824 0.066532455 0.00030830625 0.000311702 0.0007769204 0.0020197667 0.00031849352 0.00026161462 0.00035160212 0.0048805485 0.014362345 0.003360241 0.0021979024 0.0014497043 0.00290903 0.0031673904 0.002742921 0.0017083477 0.0005946816 0.0004514939 0.0010920182 0.0026019972 0.0012298293 0.00063359126 0.0006003412 0.008130852 0.006244793 0.0023797166 0.0016276985 0.0006552392 0.0011661588 0.0025220555 0.0018992174 0.001537994 0.0003878235 0.00025510608 0.0006412317 0.0020251432 0.0008939325 0.00069018715 0.0005914273 0.0057491544 0.008716761 0.0012646357 0.0030435869 0.0012765209 0.0019951474 0.0032595003 0.002452018 0.0014519682 0.0033076068 0.0006620307 0.0006582105 0.0021176776 0.0017765458 0.00062566786 0.003002979 0.004957095 0.027842076 0.005077644 0.008206691 0.003738726 0.0070589255 0.01085736 0.004409246 0.004648647 0.017496768 0.0018928504 0.00209985 0.003930728 0.011039174 0.0031740405 0.008180515 0.014510768 0.024024399 0.008577111 0.008202446 0.0042666243 0.009339599 0.014837893 0.0059596915 0.0058559794 0.01453666 0.002077353 0.0038959212 0.0045023463 0.013363144 0.0041722506 0.01106153 0.016008012 0.0070128 0.0047140154 0.004602097 0.003374107 0.004204369 0.0050627873 0.0041537154 0.0034260338 0.0044119344 0.0033691549 0.003656945 0.003913466 0.004907856 0.00364506 0.003981098 0.0048198495 42538.0 36.283276 1543418.0 0.19613028 5.5072574e-05 0.039905585 8.9411944e-05 0.0008422864 0.00011403262 5.7664223e-05 7.515786e-05 0.00017040102 0.00012893461 3.693102e-05 0.0040138187 0.002335725 0.00802375 0.004913769 0.008968406 0.030907376 0.029095164 0.017421074 0.01130154 0.014586457 0.017487809 0.012332369 0.008894544 0.00990788 0.011447968 0.039828483 0.00015809068 0.004242532 0.020081405 0.004182924 0.00027341914 0.00047297621 0.015945777 0.008586786 0.012187884 0.012052471 0.02931675 0.007894815 0.00042762232 0.0002721233 0.0044829072 5.377675e-05 8.876403e-05 0.00045483466 0.0006479126 0.00038226845 0.00022352986 0.004724579 0.00037514142 0.0006530959 0.00496625 0.0044589345 0.00028054617 0.00055072573 0.004352029 0.0004049454 0.0002773066 3.8874758e-05 0.00018724674 0.00027665868 0.00020603622 0.00022288194 0.00029544815 0.000101074365 0.021372046 0.0043909037 0.012774893 0.024634933 0.030988365 0.008803189 0.008260238 0.016313791 0.025495362 0.00020862787 0.00027017956 0.0053413915 0.0054320996 0.029032316 0.029967254 0.009460173 0.00013217417 0.009799031 0.04033256 0.06114805 0.0007353808 0.023361785 0.011931311 0.0050666765 0.00045289093 0.00020862787 2.8508155e-05 6.867874e-05 3.239563e-05 5.1185096e-05 3.1747717e-05 5.039711 2.0 275.0 21.0 9.0 3534848.0 3637248.0 1.0 0.0 517.0 0.0 1.0 0.0 0.0 0.0 1541792900.0 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 8.0 0.0 4.0 0.0 4.0 0.0 1159168.0 4096.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1159168.0 0.0 2101248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1673975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.962285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.638809 0.0 5.8865013 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 247482.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -116100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1155916.0 0.0 2099116.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -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 1.0 1.0 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 -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 -1.0 0.0 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 1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 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 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 -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 -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 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 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -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 0.0 0.0 -1.0 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 1.0 -2.0 0.0 0.0 -3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 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 2.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 3.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 -2.0 -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 0.0 0.0 1.0 1.0 1.0 1.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -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 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -3.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 2.0 0.0 1.0 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 -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 1.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -2.0 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 1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 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 -1.0 1.0 -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 0.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 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 1.0 -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 -1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -2.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 0.0 340.0 1398880.0 2099116.0 1536000.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 1166080.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1234256.0 0.0 0.0 2136.0 1163264.0 64.0 1398744.0 0.0 0.0


Input: 0.027265625 0.02313004 0.011544859 0.019180948 0.0106628025 0.017358871 0.009518649 0.01608619 0.00874496 0.015017641 0.00812248 0.01421119 0.007666331 0.0136164315 0.00750252 0.013006552 0.007250504 0.012348791 0.0068220766 0.011769153 0.0066305446 0.011411291 0.006343246 0.010751008 0.0061895163 0.010264617 0.006106351 0.010146169 0.0059173387 0.009833669 0.00547127 0.009642137 0.0056476817 0.009511089 0.0051083667 0.008933972 0.005357863 0.00890121 0.004936996 0.008928931 0.004826109 0.008374496 0.0049344758 0.008462702 0.0044657257 0.008044355 0.0045110886 0.007898185 0.004594254 0.007749496 0.004231351 0.00750252 0.0042212703 0.007172379 0.0040070564 0.0070942543 0.0042439518 0.0069329636 0.0040751006 0.0069002016 0.003999496 0.006781754 0.003891129 0.0064591733 0.0038331654 0.006514617 0.003704637 0.006376008 0.003876008 0.0061970768 0.0036265121 0.0061113914 0.003686996 0.006123992 0.0034248992 0.005970262 0.003407258 0.0053805443 0.003296371 0.005640121 0.0034248992 0.005486391 0.0030569558 0.005438508 0.003155242 0.005294859 0.002986391 0.0050100805 0.0028629033 0.0050403224 0.0029334677 0.004924395 0.0028780242 0.004891633 0.002736895 0.004894153 0.0025982864 0.004747984 0.0028629033 0.004639617 0.0027696572 0.0047731856 0.0025252015 0.004392641 0.0026486896 0.004488407 0.0024974798 0.0043019154 0.0026486896 0.0041759075 0.0025302419 0.0042565526 0.0025277217 0.004047379 0.002298387 0.004077621 0.0026486896 0.003671875 0.0023462703 0.0039591733 0.0023235888 0.0037928429 0.002154738 0.0037096774 0.0022379032 0.0034753024 0.0022883064 0.0035257055 0.0021043348 0.003359375 0.0018876008 0.0033770162 0.0021194557 0.003218246 0.0019506048 0.0032006048 0.0020740926 0.003326613 0.0019758064 0.003016633 0.0018724798 0.0029259073 0.0017893146 0.002923387 0.0018674395 0.0028200606 0.0017086694 0.003031754 0.001811996 0.0026159275 0.0015927419 0.0028830646 0.0017641129 0.0026134073 0.0017137097 0.0030418346 0.0018573588 0.0028477823 0.001625504 0.0026738911 0.0015524194 0.0025277217 0.0015498992 0.0026310484 0.0015398186 0.0022328629 0.0014894153 0.0022530241 0.0015902218 0.0022328629 0.0013634072 0.0022278226 0.0015196572 0.002091734 0.0012197581 0.0021118952 0.0013659274 0.0019581653 0.0012273185 0.0020992944 0.0013860887 0.0017943549 0.0012449597 0.0020463709 0.0012096774 0.0017993952 0.0011189516 0.0018019154 0.0013306452 0.0017313508 0.0010534275 0.0016985887 0.0011970766 0.0016885081 0.0010257056 0.0013986895 0.001141633 0.0015398186 0.0009652218 0.0015574597 0.00090977823 0.001436492 0.0010483871 0.0016507057 0.0010836694 0.001469254 0.0010332661 0.0014490928 0.0010685484 0.0014516129 0.00095010083 0.0016355846 0.001108871 0.0013608871 0.00090221775 0.0015120967 0.0011466733 0.0013256049 0.0009047379 0.0012550403 0.00084929436 0.0010912298 0.00081653224 0.0010811492 0.0008946573 0.0010433468 0.0006628024 0.0010181451 0.0008921371 0.0008518145 0.0006829637 0.0008946573 0.00078377017 0.0009173387 0.0005519153 0.00086189515 0.00082661293 0.00088961696 0.000688004 0.00081653224 0.0007006048 0.00065524195 0.00061995967 0.0007711694 0.00061491935 0.0005544355 0.00044606856 0.0005342742 0.0005342742 0.00043850805 0.0003528226 0.0004561492 0.00065524195 0.0004359879 0.00042086694 0.00052671373 0.005181347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001788678 1.2649773e-05 1.1384796e-05 5.692398e-05 0.00015179729 5.9453934e-05 0.00031877428 0.0001505323 7.589864e-06 5.059909e-06 2.5299546e-06 6.3248867e-06 5.059909e-06 2.5299546e-06 7.589864e-06 3.794932e-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 0.0016988645 6.830878e-05 6.3248866e-05 3.9214297e-05 5.5659002e-05 5.4394026e-05 5.9453934e-05 7.463366e-05 4.8069138e-05 6.577882e-05 6.198389e-05 5.3129046e-05 4.9334118e-05 7.8428595e-05 6.3248866e-05 5.692398e-05 0.0029183028 0.00013535257 0.00013788253 0.00010878805 0.00026564524 0.000116377916 0.00029220976 0.0002567904 9.107837e-05 0.00012776272 0.00012396778 9.8668235e-05 0.000120172845 0.0001505323 0.0001340876 0.00010372814 0.0012346179 0.00020366134 0.00015812217 0.00018848162 0.00014673737 0.00010625809 0.00023275583 9.48733e-05 5.5659002e-05 4.9334118e-05 3.1624433e-05 2.5299547e-05 2.4034569e-05 1.39147505e-05 1.897466e-05 6.3248867e-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 0.20031549 0.12805618 0.10094013 0.08311027 0.06894253 0.05765387 0.048430923 0.04123826 0.034339074 0.02847717 0.022821456 0.017918404 0.0136832595 0.009316558 0.005534276 0.0019164407 0.0028031897 0.0007425417 0.00064513844 0.0004743665 0.0012143783 0.00050472596 0.0006565232 0.0006527283 0.00041111762 0.0007868159 0.0005186407 0.0005237006 0.00072356703 0.001170104 0.00056291494 0.00056291494 0.0064286147 0.0077732857 0.006875152 0.0059403335 0.00642988 0.0065576425 0.006820758 0.0066095064 0.006173089 0.00697635 0.006598122 0.006252783 0.006016232 0.007740396 0.0069573754 0.006068096 4121.0 5.9301143 24438.0 0.014362877 0.023365252 0.012316884 0.018700385 0.012521483 0.021851216 0.01027089 0.019887062 0.009738931 0.018577624 0.009738931 0.020009821 0.01014813 0.019314183 0.01006629 0.017554628 0.010557328 0.017677387 0.009452492 0.016531631 0.0094115725 0.016163353 0.008675015 0.01677715 0.0093297325 0.015672313 0.009043293 0.014894836 0.0090842135 0.01649071 0.009002374 0.014772076 0.008675015 0.015181275 0.0090842135 0.0133808 0.008183976 0.012153204 0.008102136 0.013053441 0.008061216 0.01354448 0.0070382194 0.01329896 0.0069563794 0.0123987235 0.0065471805 0.013339881 0.007570178 0.012603323 0.006465341 0.010393649 0.0067927 0.011089287 0.006383501 0.011948605 0.006137982 0.010761928 0.0066290204 0.011825845 0.0062198215 0.011252967 0.006424421 0.010761928 0.0049103852 0.011744006 0.006506261 0.010598249 0.006056142 0.011703085 0.005728783 0.008634094 0.005360504 0.010843768 0.0051559047 0.009861691 0.005687863 0.009206973 0.0058106226 0.01018905 0.005442344 0.008715934 0.004992225 0.011334807 0.00675178 0.0073655783 0.0048694657 0.008102136 0.0051149847 0.008020297 0.0048694657 0.007856617 0.004460267 0.007979376 0.004460267 0.007447418 6.4682508 0.0 0.0 0.0 7.0 396800.0 163840.0 0.0 0.0 20.0 0.0 0.0 0.0 0.0 0.0 1124747800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.0 0.0 4.0 0.0 44032.0 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 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 -44032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.7188697 0.0 0.0 0.0 0.0 0.0 7.0030546 0.0 0.0 0.0 0.0 0.0 0.0 -7.7372437 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.6614249 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5269.0 0.0 0.0 0.0 0.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 -64096.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 625.0 82848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.2242296 0.008409288 0.005533854 0.005018446 0.0078125 0.0042588976 0.002983941 0.0020345051 0.01304796 0.0015733507 0.002061632 0.0021430121 0.007025825 0.0022515191 0.0010850695 0.010715061 0.0057779946 0.0015733507 0.0006510417 0.0010850695 0.0038791234 0.010932075 0.0010036892 0.0007595486 0.0025227864 0.0010579427 0.0010850695 0.0010036892 0.001953125 0.0017903646 0.0011664496 0.00054253475 0.009711372 0.0007324219 0.0040961374 0.0009765625 0.0056152344 0.004313151 0.0004611545 0.00062391494 0.0022515191 0.0010579427 0.0006510417 0.0017632379 0.0018174914 0.0029296875 0.0034722222 0.00035264756 0.0036078559 0.00081380206 0.0007324219 0.0061035156 0.0017361111 0.0032280816 0.000515408 0.0003797743 0.0023328993 0.0050998265 0.0027126735 0.0051540798 0.0011664496 0.0021430121 0.0007052951 0.00056966144 0.024332682 0.0023328993 0.0016818576 0.0027398004 0.004123264 0.01928711 0.004747179 0.0058322484 0.002061632 0.000922309 0.0004611545 0.0007052951 0.0024685329 0.00648329 0.0013292101 0.0007866754 0.011311849 0.0021972656 0.0016547309 0.008110894 0.0013834635 0.004964193 0.008599175 0.008110894 0.0014919705 0.0029025609 0.00040690103 0.0014648438 0.0014648438 0.004204644 0.0023057726 0.0019259983 0.0011121961 0.003092448 0.00062391494 0.0018988715 0.0028483074 0.0087890625 0.0073513454 0.0017089844 0.010579427 0.004855686 0.0103081595 0.0007595486 0.004530165 0.0013020834 0.0035264757 0.0038248699 0.0027126735 0.00054253475 0.007514106 0.0059407554 0.014919705 0.018744575 0.0013292101 0.0011121961 0.0014919705 0.0012478299 0.00040690103 0.00027126737 0.0016818576 0.0051812064 0.0007324219 0.00081380206 0.005859375 0.0066731772 0.0039876304 0.011501736 0.0036621094 0.0076768664 0.00043402778 0.0005967882 0.0023871528 0.011583116 0.0007866754 0.019666884 0.0011393229 0.0068359375 0.0006510417 0.000515408 0.0006781684 0.00016276042 0.00048828125 0.00054253475 0.0011664496 0.0002983941 0.0002983941 0.00040690103 0.0009765625 0.0004611545 0.0004611545 0.00021701389 0.0006510417 0.00040690103 0.00021701389 0.0006510417 0.0011664496 0.0025499132 0.0005967882 0.001953125 0.0010850695 0.0006510417 0.00054253475 0.0005967882 0.0013292101 0.0005967882 0.0003797743 0.0003797743 0.0006510417 0.0017632379 0.00013563369 0.00056966144 0.0024956597 0.00013563369 0.00018988716 0.00013563369 0.00062391494 0.00021701389 0.0017632379 0.0017361111 0.0017903646 0.0006510417 0.00040690103 0.00040690103 0.0019802516 0.00040690103 0.0011121961 0.0010850695 0.009765625 0.0045844186 0.0026312934 0.0025499132 0.0021430121 0.00054253475 0.001546224 0.004204644 0.0024142796 0.0026312934 0.00081380206 0.000515408 0.0011664496 0.00027126737 0.00043402778 0.00040690103 0.0016818576 0.0006781684 0.0008409288 0.0011393229 0.0013834635 0.00018988716 0.0026584202 0.00081380206 0.0023600261 0.0002983941 0.0002983941 0.0010036892 0.0018174914 0.0002983941 0.00021701389 0.00048828125 0.0025499132 0.0008951823 0.00094943575 0.00056966144 0.0017361111 0.0002983941 0.00056966144 0.00040690103 0.017605253 0.0050727 0.0006510417 0.005642361 0.0040418836 0.0007052951 0.00048828125 0.00056966144 0.0051812064 0.0016004774 0.0008409288 0.00094943575 0.002983941 0.00062391494 0.0025227864 0.0018717448 0.00648329 0.0012207031 0.0010579427 0.0016547309 0.005343967 0.0012478299 0.0022515191 0.057156034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03062221 0.0 0.0056640627 0.0011160715 0.0011997768 0.0005440848 0.011635045 0.006361607 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029631697 0.0 0.004924665 0.0011579241 0.0029854912 0.0021344866 0.010253906 0.0060546873 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029296875 0.0002092634 0.0037248884 0.0011021205 0.0032924106 0.00249721 0.008203125 0.0047851563 0.00027901787 0.0005440848 0.0023995535 0.00015345983 0.0001953125 0.00015345983 0.00013950893 0.00016741072 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027915737 0.0014927456 0.0021205358 0.0013671875 0.0037109375 0.0016462053 0.0025530134 0.002748326 0.003125 0.0006138393 0.0027762277 0.0007672991 0.0019391741 0.00062779017 0.0014090402 0.002329799 0.010128348 0.00085100444 0.0009905134 0.000906808 0.003529576 0.0008091518 0.001297433 0.0015206473 0.003376116 0.00012555804 0.00018136161 0.00036272322 0.0016741072 0.00034877233 0.0010044643 0.0014648438 0.014787947 0.0026227678 0.0016183036 0.0023018974 0.0060407366 0.0031668528 0.0025530134 0.0039481027 0.0073521207 0.00034877233 0.00047433036 0.0007533482 0.0028041294 0.0012276786 0.0024553572 0.0046875 0.14796317 0.03221261 0.021693638 0.029478237 0.06079799 0.052971542 0.029185267 0.039453126 0.07197265 0.006487165 0.009361049 0.013225446 0.03092913 0.014174107 0.038867187 0.086941965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86.0 8.639535 743.0 0.01345895 0.00269179 0.0 0.001345895 0.029609691 0.00269179 0.0 0.0 0.00269179 0.01615074 0.0 0.006729475 0.00538358 0.00538358 0.01345895 0.0 0.004037685 0.0 0.012113055 0.014804846 0.00269179 0.001345895 0.001345895 0.0 0.006729475 0.020188425 0.0 0.00807537 0.0 0.001345895 0.0 0.0 0.00807537 0.00807537 0.001345895 0.00269179 0.022880215 0.029609691 0.00807537 0.006729475 0.006729475 0.006729475 0.0 0.004037685 0.017496636 0.0269179 0.009421265 0.00538358 0.03230148 0.001345895 0.006729475 0.017496636 0.00538358 0.017496636 0.02422611 0.03230148 0.001345895 0.004037685 0.0 0.006729475 0.00269179 0.006729475 0.004037685 0.00269179 0.00269179 0.025572006 0.001345895 0.01345895 0.017496636 0.07133244 0.01345895 0.00807537 0.0269179 0.014804846 0.012113055 0.00538358 0.039030954 0.01076716 0.020188425 0.033647377 0.009421265 0.0 0.029609691 0.044414535 0.04306864 0.036339164 0.004037685 0.0 0.009421265 0.00269179 0.0 0.0 0.0 0.00269179 0.0 0.0 5.655945 0.0 0.0 0.0 1.0 36864.0 3702784.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1330111200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 28672.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11264.0 0.0 0.0 0.0 0.0 0.0 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 -28672.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.7673097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.527772 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3198976.0 -3978.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10898.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28432.0 0.0 27360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 39780.0 27360.0 3670016.0 0.0 0.0 6424.0 5128864.0 2488.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.17222777 0.017390942 0.008591409 0.005994006 0.0146353645 0.0034881786 0.0037795538 0.0029387278 0.008899434 0.0055527803 0.0022644023 0.0036297035 0.0067182817 0.0013070263 0.009898435 0.016033966 0.005802531 0.0013902764 0.0007409257 0.0017649018 0.0057442556 0.0007076257 0.0008075258 0.0005161505 0.00492008 0.000957376 0.0005078255 0.0018481518 0.0071511823 0.0012737262 0.0006993007 0.001956377 0.007867133 0.0014319015 0.0010489511 0.00068265066 0.062254414 0.001065601 0.0024059275 0.0012071262 0.0046869796 0.0024225775 0.00054112554 0.0011155511 0.0032883782 0.00064102566 0.002863803 0.0009240759 0.0067182817 0.006876457 0.0016067266 0.0025641026 0.0031635033 0.0012903763 0.0011904762 0.002047952 0.0026723277 0.009465534 0.0017232767 0.00085747585 0.0032800534 0.00096570095 0.00073260075 0.0007076257 0.0036380286 0.0064435564 0.0008658009 0.005028305 0.018123543 0.0015900766 0.0009240759 0.0025724275 0.0020979021 0.00066600065 0.00037462538 0.00071595074 0.008757909 0.0009240759 0.0013986015 0.0005328005 0.002131202 0.00052447553 0.0015984016 0.001989677 0.00960706 0.0031801532 0.0011072261 0.001090576 0.0011155511 0.00084082584 0.0005827506 0.0017066267 0.0046453546 0.0012237763 0.0014402264 0.0051781554 0.0018564769 0.0018564769 0.00057442556 0.001989677 0.0024808524 0.0027722279 0.010972361 0.00082417583 0.0013486514 0.003171828 0.0002747253 0.00054112554 0.004362304 0.0017316018 0.0020979021 0.0026889776 0.0029137528 0.0005994006 0.0028055278 0.0022061272 0.01038961 0.0035214785 0.0013819514 0.0011072261 0.0021395271 0.0008824509 0.0016983018 0.0012820513 0.006260406 0.0009240759 0.0005494506 0.0028721278 0.0044955043 0.0037212786 0.0012654013 0.013336663 0.011754911 0.008516484 0.0017649018 0.0013403264 0.0033882784 0.03854479 0.00076590077 0.02581585 0.0042540794 0.008250083 0.0004911755 0.00036630037 0.011463537 0.0002747253 0.0002830503 0.00032467532 0.004079254 0.0009240759 0.00032467532 0.0003912754 0.001057276 0.0002997003 0.00038295038 0.0004995005 0.002863803 0.00038295038 0.0003163503 0.00033300032 0.0013736264 0.0005494506 0.00037462538 0.0003912754 0.0008491509 0.00037462538 0.0002081252 0.00023310023 0.0008158508 0.00046620046 0.0001998002 0.00024142524 0.0016566766 0.0003080253 0.0003163503 0.0003996004 0.0008491509 0.00023310023 0.00019147519 0.0002830503 0.0025890777 0.0003912754 0.002947053 0.0014485514 0.002114552 0.0011405261 0.0011821511 0.0006909757 0.0025807526 0.00087412586 0.00044122545 0.0006077256 0.0055860807 0.0064768563 0.0024558774 0.0048701297 0.0023809525 0.0016650016 0.003030303 0.006926407 0.0013569763 0.0035131534 0.0018814519 0.0012903763 0.0010989011 0.00071595074 0.00096570095 0.0005910756 0.0034548785 0.0014235764 0.0027056278 0.0032550783 0.0005494506 0.00064102566 0.001023976 0.00085747585 0.0054279054 0.008050283 0.0012987013 0.0032217782 0.0009074259 0.003954379 0.0015401265 0.0018897769 0.0037379288 0.0016150516 0.0018231769 0.000999001 0.0007825508 0.0014818514 0.0011072261 0.000957376 0.0068431566 0.0076839826 0.0017982018 0.0030469531 0.002047952 0.0010073261 0.0017565767 0.0008158508 0.0027555777 0.0017482517 0.0015318015 0.0015651016 0.001057276 0.00075757573 0.002997003 0.0028971029 0.0028305028 0.0016566766 0.0022727272 0.0013819514 0.0020562771 0.0014818514 0.0040293043 0.032733932 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01178189 0.001010237 0.0005177465 0.0003156991 0.00097235315 0.00042935077 0.000105233026 0.00072821253 0.00052195584 4.2093212e-05 2.1046606e-05 2.1046606e-05 0.00027781518 0.0 2.1046606e-05 0.00047565327 0.03218026 0.0030559672 0.0045839506 0.0031569907 0.007896686 0.0016332166 0.00024834994 0.0012459591 0.0019026131 0.00034937364 0.0003030711 0.00026518723 0.0018563106 0.00016837285 0.0002188847 0.0012796336 0.039950665 0.0030643858 0.0010439117 0.00229408 0.0049080686 0.0035358297 0.007858803 0.004407159 0.0023740572 0.0006524448 0.00048828125 0.0005051185 0.002437197 0.0005051185 0.0011028422 0.0024582436 0.0050890693 0.00011786099 0.0023782665 0.0035105739 0.0013090989 0.0007787244 0.0020625673 0.00088395743 0.00026097792 0.00011365167 0.00013048896 0.00013048896 0.00010944235 0.00012627963 0.00011786099 0.00012207031 0.01829371 0.0019362877 0.004638672 0.0047817887 0.0022183121 0.0029928272 0.0043482287 0.0026687095 0.00539635 0.0014900997 0.0005850956 0.0006187702 0.0021972656 0.0037547145 0.0027023843 0.0017216123 0.03156991 0.0046092067 0.019392343 0.0060109105 0.0077283136 0.0044913455 0.0048196726 0.00477337 0.02195161 0.0027108027 0.00094709726 0.0015279836 0.0059351427 0.009386786 0.0056068157 0.0064697266 0.09376263 0.011925006 0.041381836 0.011066305 0.017750707 0.011276771 0.005960399 0.0136045255 0.06487406 0.00960567 0.0026939656 0.009066878 0.019417599 0.015448209 0.017199285 0.0342765 0.044905037 0.009433089 0.019249225 0.011857658 0.010519094 0.011196794 0.010519094 0.010956863 0.030639648 0.008355502 0.0024877088 0.0055520944 0.011950263 0.010056068 0.009849811 0.016609982 0.0042009023 0.0016205886 0.0017679149 0.0026434537 0.0014395878 0.0015827047 0.0031948746 0.002163591 0.0011744006 0.0008881668 0.00096814387 0.00085870153 0.0008208176 0.0009007947 0.0008376549 0.000799771 649.0 14.4591675 9384.0 0.03761722 0.012787724 0.0037297527 0.0019181586 0.01758312 0.0025575447 0.0024509805 0.0003196931 0.015025576 0.013533674 0.00042625747 0.0017050299 0.0028772377 0.0036231885 0.030583972 0.0062872977 0.033567775 0.015132139 0.012894288 0.021952258 0.009484229 0.006180733 0.006500426 0.016091218 0.007033248 0.03783035 0.015345269 0.0022378517 0.0039428817 0.0009590793 0.0013853367 0.0003196931 0.0042625745 0.0038363172 0.00074595056 0.030797102 0.007033248 0.0027706735 0.0017050299 0.026641091 0.0017050299 0.0018115942 0.0003196931 0.0015984655 0.00415601 0.0052216537 0.013959932 0.0012787724 0.00415601 0.0005328218 0.00415601 0.0044757035 0.006180733 0.016304348 0.0012787724 0.002024723 0.0012787724 0.005541347 0.0024509805 0.0066069905 0.0038363172 0.0042625745 0.0044757035 0.05583973 0.002024723 0.018968457 0.0037297527 0.019714408 0.021099744 0.030477408 0.04614237 0.006180733 0.007139812 0.035485934 0.00010656437 0.0025575447 0.015238704 0.016730605 0.019927537 0.029624894 0.015132139 0.00085251493 0.026108269 0.021526001 0.03591219 0.010336744 0.003196931 0.0060741687 0.00586104 0.0030903665 0.0009590793 0.010976129 0.0028772377 0.0053282185 0.00074595056 0.00074595056 5.8114233 2.0 11.0 0.0 1.0 120120.0 135168.0 1.0 122.0 26.0 1.0 0.0 1.0 0.0 33.0 1526605800.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 28.0 4.0 0.0 4.0 0.0 84992.0 1024.0 4096.0 9.0 1.0 0.0 1.0 3.0 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 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 -85504.0 -1024.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1669292 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.07159 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5662047 0.0 0.0 0.0 0.0 0.0 5.2919087 0.0 0.0 -9.587878 -4.730048 0.0 0.0 0.0 0.0 -4.777919 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1668.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 332.0 0.0 0.0 -64.0 0.0 0.0 0.0 0.0 0.0 2931.0 0.0 0.0 -85037.0 -856.0 0.0 0.0 0.0 0.0 -11080.0 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 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 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 2.0 0.0 1.0 1.0 -1.0 -1.0 0.0 2.0 0.0 1.0 1.0 -1.0 0.0 2.0 1.0 0.0 1.0 -1.0 -2.0 1.0 1.0 0.0 2.0 2.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 -3.0 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 1.0 -1.0 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 2.0 -1.0 -1.0 -2.0 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 1.0 1.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 2931.0 122880.0 856.0 126976.0 0.0 0.0 0.0 0.0 9272.0 110848.0 1668.0 131072.0 28.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 127148.0 0.0 0.0 0.0 0.0


Input: 0.0050161458 0.0039341683 0.0039288243 0.0038973326 0.003924912 0.003932355 0.0038811096 0.0038769108 0.0039226213 0.0038810142 0.003932069 0.0039147963 0.003929683 0.0038909388 0.0038968555 0.0039215717 0.0039003864 0.0039084023 0.003914319 0.003902104 0.0039025813 0.003911265 0.0038625963 0.003912315 0.0039037263 0.0038826365 0.0038755748 0.0038764335 0.0038813006 0.0038848314 0.003910979 0.0038483774 0.003915846 0.0038585882 0.0039049669 0.0038770062 0.003898573 0.003916037 0.0038646958 0.003907257 0.0038879805 0.003877197 0.0038966646 0.0039107883 0.003861833 0.0038984776 0.0038926566 0.0038869309 0.0038911297 0.0038697536 0.0038922748 0.0039061122 0.0038937062 0.0038754793 0.0038958057 0.0038640278 0.0039295875 0.003859447 0.003907448 0.003921476 0.003930351 0.0039080204 0.0038984776 0.0038968555 0.0039342637 0.003920999 0.0039272974 0.0038980006 0.0039024858 0.003945238 0.003907257 0.003875861 0.0038816822 0.0038690856 0.003894756 0.003939131 0.0038741434 0.0039044898 0.0038927519 0.0038804417 0.0039272974 0.0038910343 0.00392682 0.003943234 0.003931401 0.0038844496 0.0039373175 0.003914987 0.003897428 0.0039172773 0.0038687992 0.0038799644 0.003946097 0.003888744 0.0038680357 0.003899623 0.0038903663 0.0039162277 0.0038958057 0.0038841635 0.0039278697 0.0039586937 0.0039107883 0.0039048714 0.003915464 0.0039222394 0.0038977142 0.0038859765 0.003920713 0.003917373 0.003898287 0.0039264387 0.0039111697 0.0038682267 0.0038837816 0.003890748 0.003950296 0.0039701452 0.003922526 0.003889889 0.0038908434 0.0038853085 0.0038933246 0.0038928473 0.00391222 0.0039147963 0.0038895074 0.003898764 0.0039335955 0.0039324504 0.0038781513 0.003915846 0.0038833045 0.003956594 0.0039172773 0.0038666043 0.0038930383 0.0039322595 0.0038915114 0.003946383 0.0038775788 0.0038851176 0.003894756 0.003909929 0.0038735706 0.003929301 0.0038943742 0.0038998136 0.0038807278 0.0038895074 0.0039229076 0.0038968555 0.0038834952 0.0039077345 0.003900768 0.0038851176 0.003909452 0.00387338 0.0038651729 0.0039146054 0.0039192815 0.0039148917 0.003898096 0.0039113606 0.0038717575 0.0038927519 0.0039026765 0.0038961875 0.0038859765 0.003910311 0.0038783422 0.0039222394 0.0039371266 0.0039204266 0.0038699445 0.0038909388 0.0039011498 0.0038951377 0.003911456 0.0038553437 0.0038948513 0.0038929428 0.0038995275 0.0038728071 0.0038768153 0.0038873125 0.0039108833 0.0039001955 0.003887217 0.003907448 0.003924912 0.0038995275 0.0039746305 0.003911647 0.0039080204 0.0038817776 0.003897428 0.0038980006 0.0038674632 0.003933405 0.0038896028 0.003894756 0.003858302 0.003938176 0.003872712 0.0038924657 0.0038660318 0.0038903663 0.0039039173 0.0038975235 0.0038748113 0.0038891258 0.003914987 0.0038830182 0.0038676541 0.0038806323 0.00391451 0.003911456 0.0039392263 0.003925675 0.003885404 0.003901245 0.003902295 0.0038934199 0.003859638 0.003884068 0.0038909388 0.0038797737 0.0038779604 0.0039392263 0.0039301603 0.0039204266 0.0039682365 0.0038882669 0.003902295 0.0038650774 0.003914319 0.0038631689 0.003918518 0.0039003864 0.0038886485 0.003887026 0.003899241 0.0038809187 0.0038915114 0.0038839725 0.0039052533 0.0038641233 0.0039405623 0.003942948 0.003899432 0.00391785 0.003917373 0.0038895074 0.0039128875 0.0041732187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001177277 2.0997238e-06 6.824103e-06 5.058426e-06 3.4836328e-06 4.1994476e-06 2.0233703e-05 1.1596202e-05 7.5876387e-06 1.90884e-07 3.81768e-07 2.8632599e-07 1.8611189e-06 2.38605e-07 7.1581496e-07 1.2980111e-05 0.00011939793 2.0520029e-06 5.3924728e-06 3.4359118e-06 2.5292129e-05 1.0975829e-05 6.599814e-05 3.383419e-05 4.247169e-06 2.9109808e-06 3.4359118e-06 3.1495858e-06 3.292749e-06 3.006423e-06 2.9587018e-06 3.81768e-06 0.00014421286 4.1040057e-06 7.15815e-06 4.628937e-06 2.9730181e-05 1.5032114e-05 8.1698345e-05 6.8145586e-05 9.257874e-06 2.767818e-06 2.9109808e-06 3.1018649e-06 4.628937e-06 3.054144e-06 3.8654007e-06 6.6332186e-06 0.00017413392 4.867542e-06 3.9608426e-06 5.3447516e-06 8.876105e-06 7.969406e-06 1.3027832e-05 2.2762915e-05 2.2810636e-05 1.4745789e-05 1.7036396e-05 1.584337e-05 1.717956e-05 1.4602625e-05 1.2789227e-05 3.497949e-05 0.00012016147 3.4359118e-06 3.7222378e-06 4.29489e-06 1.1405318e-05 5.1538677e-06 7.873965e-06 1.388681e-05 2.2906079e-05 1.2312017e-05 1.2550622e-05 1.2121133e-05 1.7131839e-05 1.1405318e-05 1.2550622e-05 2.2285705e-05 0.000366545 4.6193927e-05 2.1569891e-05 4.824593e-05 8.0696205e-05 6.8765956e-05 4.934351e-05 9.348543e-05 0.000110569556 4.2423966e-05 5.3256634e-05 4.9534396e-05 8.394124e-05 6.6093584e-05 0.0001004527 0.00018487114 0.00035098795 6.962493e-05 5.0536535e-05 7.191554e-05 0.00012006603 0.00010007093 5.8601385e-05 0.00010450899 0.0001186344 3.2116233e-05 3.4645444e-05 3.6220237e-05 7.062708e-05 3.5981633e-05 7.3442614e-05 0.00013800913 0.06225166 0.06214739 0.06215903 0.062200263 0.062170103 0.06231322 0.062276237 0.062117085 0.062221788 0.062222406 0.06230191 0.062199883 0.062179316 0.062252663 0.062197495 0.062293846 48314.0 5.652606 273100.0 0.010662761 0.010124496 0.0104394 0.010410106 0.010516294 0.010135481 0.010161113 0.010135481 0.010560234 0.010139143 0.010303918 0.010201392 0.010318564 0.010443062 0.010406445 0.010223362 0.01037349 0.0102599785 0.010281948 0.010454047 0.010150128 0.0102197 0.010347858 0.009820579 0.010611498 0.010212377 0.010223362 0.010190407 0.010329549 0.010234347 0.010186745 0.010040279 0.010047602 0.010911754 0.010336873 0.01063713 0.01037349 0.010750641 0.010234347 0.0104394 0.01013182 0.010281948 0.010593189 0.010384475 0.010325888 0.010534603 0.010497986 0.010384475 0.010688392 0.0104650315 0.010688392 0.010845844 0.010443062 0.01013182 0.010336873 0.0104650315 0.010098865 0.01015379 0.0102197 0.010406445 0.010179422 0.010172098 0.010164775 0.010384475 0.010102526 0.010681069 0.010384475 0.010787257 0.011069206 0.011775906 0.010710362 0.0106847305 0.010369828 0.010944709 0.010150128 0.010406445 0.01094837 0.010585866 0.011120468 0.011149762 0.010402783 0.009882826 0.010772611 0.010695715 0.011160747 0.010596851 0.01008788 0.0104650315 0.010380813 0.010179422 0.010541926 0.010164775 0.010344196 0.01010985 0.010270963 0.010245332 6.584349 1.0 1.0 0.0 171.0 10478962.0 286720.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23552.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 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 -23552.0 0.0 16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2640452 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7090273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.485008 0.0 5.913503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23130.0 0.0 16688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 16688.0 266240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.056560233 0.00828981 0.006162072 0.0056639807 0.0057507847 0.0049488787 0.0042079417 0.005421135 0.0050429166 0.0056226454 0.0037501524 0.004463188 0.004960246 0.0031662902 0.004324714 0.0046398966 0.0050346493 0.00376772 0.004926144 0.0041583395 0.004348482 0.003186958 0.004101503 0.0038472905 0.0050594504 0.0033553995 0.0031621566 0.0029327453 0.0041562724 0.0034360036 0.003781154 0.0037873543 0.0061610383 0.0038183557 0.003482506 0.0030278165 0.0049003093 0.0041562724 0.0038359233 0.0037201843 0.0047174003 0.0038948262 0.003337832 0.003101187 0.0043712165 0.0037191508 0.003727418 0.0035858443 0.0055182735 0.0039444286 0.0031053205 0.0029069106 0.0036798823 0.0030701854 0.0026898999 0.002869709 0.004165573 0.003321298 0.0035186743 0.0033615998 0.004001265 0.0032148592 0.003507307 0.0034566713 0.0065909266 0.0039464957 0.003616846 0.0032241596 0.0041666063 0.0032262264 0.0035403753 0.0030619183 0.004994347 0.0037739202 0.0036995166 0.0035837775 0.0041294047 0.003119788 0.0035651766 0.0034659717 0.005167956 0.003638547 0.0036561145 0.003337832 0.0039340947 0.0033771007 0.003356433 0.003539342 0.0046491968 0.0036478473 0.003808022 0.0035104072 0.0041180374 0.003388468 0.0036912495 0.003794588 0.005907859 0.0036251128 0.0033388655 0.00295858 0.003996098 0.0030536512 0.003270662 0.003034017 0.0049778135 0.0031704237 0.0032055588 0.003052618 0.0035775772 0.0028418074 0.0030898198 0.0031972916 0.004507623 0.0032871962 0.0032210595 0.003154923 0.003891726 0.0033357653 0.0032851293 0.0036323466 0.0046212957 0.0032913296 0.0034835392 0.0031693904 0.0040332996 0.0032003918 0.0034742388 0.0033491992 0.008645295 0.004603728 0.004009532 0.0035197076 0.0043567494 0.00343187 0.003030917 0.0033843343 0.004541725 0.0038328231 0.0029575464 0.0031941915 0.0037398185 0.0028108058 0.002854208 0.002993715 0.005226859 0.0032055588 0.0034928396 0.0030247164 0.0036674817 0.003184891 0.003310964 0.0032603282 0.0045499923 0.0028438743 0.003045384 0.0027126344 0.0035135073 0.0032375937 0.002988548 0.0031435557 0.005020182 0.003415336 0.0032747956 0.0027942718 0.0037801205 0.0030040487 0.0030536512 0.003181791 0.0041345716 0.0029978484 0.003122888 0.0030133494 0.003643714 0.0028407741 0.002926545 0.0030360837 0.004662631 0.003119788 0.0038441904 0.0028604083 0.0035579428 0.0031466559 0.0029895813 0.0031332218 0.0042668446 0.0031518228 0.003340932 0.0031859244 0.0036530143 0.0032003918 0.0033367986 0.0033398988 0.006707699 0.0040570674 0.0037243178 0.003346099 0.004120104 0.003262395 0.0033047637 0.0032231263 0.004323681 0.0033305984 0.0031156542 0.0030763857 0.0036509475 0.002983381 0.0030743189 0.0027984052 0.0042472105 0.0032747956 0.0031001535 0.0030030154 0.0037160506 0.0030267832 0.002934812 0.0029492795 0.00397543 0.0031104875 0.002728135 0.0026433975 0.0035310748 0.0029544462 0.0035806773 0.002889343 0.004955079 0.0032375937 0.0033967348 0.0029730473 0.0038059552 0.0030753524 0.0032014253 0.002921378 0.0044363197 0.00544697 0.003475272 0.0031404556 0.0037883876 0.0030836195 0.003243794 0.0031838578 0.0046099285 0.0033130308 0.0034277365 0.0030484844 0.0037346517 0.0030970534 0.0033202644 0.0032458608 0.0043495153 0.0030371172 0.0031879912 0.0028666086 0.0040084985 0.0030918864 0.0042182757 0.0045055565 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004567809 0.0002932791 0.00027207198 0.000263796 0.0003087965 0.00023845091 0.00032896915 0.0003119 0.00032586567 0.00035172803 0.00032586567 0.00035172803 0.0005203506 0.00015103615 0.00018620896 0.0007360426 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09909782 0.061995685 0.062446207 0.05534078 0.06058153 0.059607036 0.0549694 0.05450543 0.060504463 0.053188 0.052142646 0.053005412 0.056420278 0.050592456 0.05667321 0.053844903 4030.0 5.7027297 22982.0 0.017230876 0.010399443 0.009355147 0.008702463 0.013445305 0.012444522 0.01183535 0.0114002265 0.012575059 0.009790271 0.008528413 0.008571926 0.01392394 0.010617005 0.011704813 0.010007832 0.016708728 0.011922374 0.008745975 0.0075276303 0.009790271 0.008484901 0.0077887042 0.008310852 0.010225394 0.008441389 0.009572709 0.008876512 0.011487251 0.0089635365 0.009616221 0.00922461 0.018014098 0.010921591 0.010442955 0.009007049 0.010878079 0.0088329995 0.010660517 0.008267339 0.0142285265 0.011617788 0.009746758 0.008920024 0.011443739 0.009311635 0.0116613 0.009616221 0.014837699 0.009703246 0.0100513445 0.0089635365 0.012096424 0.00939866 0.009572709 0.009746758 0.013706379 0.009181098 0.010486468 0.009529197 0.011182665 0.009790271 0.010442955 0.010660517 0.017927073 0.010965103 0.009703246 0.008223827 0.013053694 0.008223827 0.00939866 0.008397876 0.0154468715 0.009355147 0.008876512 0.00865895 0.011313202 0.008049778 0.009877295 0.007919241 0.013140718 0.008006265 0.00865895 0.0088329995 0.0115307635 0.009442172 0.008267339 0.008006265 0.010878079 0.008920024 0.012052911 0.008484901 0.011356714 0.009050561 0.010007832 0.0088329995 6.5546513 0.0 0.0 0.0 14.0 967694.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 94208.0 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 831488.0 0.0 0.0 16384.0 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 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.010042165 0.004014522 0.003909176 0.004104562 0.0037971553 0.0038149029 0.003848444 0.0039894474 0.0039559063 0.003747332 0.0037111857 0.0038836133 0.00399596 0.0038564221 0.0038349298 0.004262987 0.0037494486 0.0036957175 0.0036038863 0.0037948757 0.00373626 0.0037577525 0.0037763142 0.0038933826 0.0039005468 0.0037276305 0.0038023656 0.003923993 0.0037886887 0.003867657 0.0038928941 0.0041231234 0.0037613346 0.00352329 0.0035807658 0.0037269793 0.0037569385 0.0036375904 0.0036484995 0.0038378607 0.0036949036 0.00373626 0.0035832082 0.0038630979 0.0037779424 0.0039016865 0.0037180241 0.0039080367 0.0038767748 0.0037750115 0.0036942523 0.004014522 0.003787386 0.0037315383 0.0037605206 0.0038617954 0.0037955272 0.00385398 0.0037448897 0.004105213 0.003997588 0.003923179 0.0039492305 0.004203557 0.0037341435 0.0037952014 0.0039690947 0.0038744954 0.0035635068 0.0039075483 0.0039034777 0.0038559337 0.0036348226 0.0036226108 0.003664293 0.0037186753 0.0036683637 0.0038363952 0.0037779424 0.0039617675 0.0038779147 0.003728119 0.0036335199 0.0038041566 0.0036685264 0.0037333292 0.0038390004 0.003908525 0.0037320268 0.0038995699 0.003777454 0.0038363952 0.0037352832 0.003916666 0.0039725136 0.0041379402 0.0036856227 0.003902175 0.003719001 0.0038769378 0.0037085805 0.003988959 0.003909502 0.0039362046 0.003965024 0.003977887 0.003843071 0.003889312 0.003902175 0.0038158798 0.0038772633 0.004191997 0.0038419312 0.0037613346 0.003952161 0.0039966116 0.0042701513 0.0041885776 0.003836558 0.0040298267 0.0040985374 0.00393653 0.0038854044 0.004011754 0.0040685786 0.0040664617 0.004165457 0.0042769895 0.0037642654 0.0037921078 0.0036014442 0.0043307208 0.0037899911 0.004130613 0.0038206016 0.0039088507 0.0035736016 0.0039599766 0.0036465456 0.0047962265 0.0037540076 0.0040965835 0.0037911308 0.003942392 0.0036066545 0.0036644558 0.0035791376 0.003734632 0.0036774816 0.0037274677 0.0037238856 0.003764591 0.0036512674 0.0036359623 0.0036629906 0.00376915 0.0037553103 0.0038541427 0.0039871675 0.0040052407 0.0037113484 0.0038699363 0.0035789749 0.0038502351 0.0036387302 0.0037385395 0.003636125 0.0038442106 0.0036483365 0.003654361 0.003584348 0.003753682 0.0037393537 0.003803831 0.0037496116 0.0039344137 0.003849421 0.0037755 0.0036628277 0.003793736 0.0037839666 0.0037631257 0.0037750115 0.003938647 0.003804645 0.003798295 0.0037216062 0.003868471 0.003963233 0.003945648 0.0041003283 0.0041877637 0.0041441275 0.0038847532 0.0039819577 0.0040902337 0.0039052686 0.0037968296 0.0038751466 0.0041286596 0.003751891 0.0037240486 0.0037665449 0.0037668706 0.003996123 0.0037180241 0.0038673312 0.004171807 0.0039944947 0.0038064362 0.0038035053 0.0038259747 0.0037041844 0.0036861112 0.003822881 0.00395151 0.0038489325 0.0038333016 0.0038577248 0.0038945223 0.0038380234 0.0037906424 0.004015336 0.0043046693 0.0040239654 0.0039446712 0.00385398 0.003947602 0.0038525146 0.0039163404 0.0037976438 0.0040772078 0.0044209235 0.0038870326 0.0037771282 0.0041068415 0.0039489046 0.0038359067 0.0039033147 0.0042286315 0.0042532175 0.0040119165 0.003972351 0.0039930292 0.004012405 0.0038937083 0.0040225 0.004230423 0.0043904763 0.0040908847 0.004031292 0.004136312 0.0043509104 0.0041258913 0.0044212495 0.006225798 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027443425 9.03923e-06 9.5278365e-06 7.329105e-07 9.03923e-06 6.0261527e-06 6.189022e-06 5.7818493e-06 1.140083e-06 7.329105e-07 1.5472555e-06 1.954428e-06 4.0717248e-07 2.280166e-06 4.88607e-07 4.2345937e-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 0.00043241718 4.560332e-06 2.931642e-05 4.6417663e-06 3.0700805e-05 1.555399e-05 7.809568e-05 4.7802052e-05 3.745987e-06 4.6417663e-06 3.420249e-06 2.6873383e-06 9.77214e-07 2.768773e-06 1.302952e-06 4.4788976e-06 0.0005219951 2.7280557e-05 9.022943e-05 1.4983948e-05 8.2818886e-05 5.2118077e-05 0.00033624304 0.0001701981 1.7426983e-05 3.420249e-06 3.0130764e-06 3.094511e-06 3.6645524e-06 2.931642e-06 2.3616005e-06 2.4430349e-06 0.0007342949 2.190588e-05 0.00010830788 2.5081825e-05 0.00011832432 5.342103e-05 0.0003978075 0.00021205543 1.0097878e-05 1.9299976e-05 8.306319e-06 1.4739644e-05 1.0097878e-05 1.3029519e-05 6.9219323e-06 8.0864455e-05 0.00095734396 8.1760234e-05 0.00018233185 4.6010493e-05 7.980581e-05 4.706914e-05 0.00048876985 0.00029096546 4.1938765e-05 3.1433716e-05 2.1335838e-05 1.9788584e-05 2.2068749e-05 3.7704172e-05 2.8990682e-05 0.00012435048 0.00092713174 7.48383e-05 0.00011881293 0.0005114901 0.00010733067 0.000111646696 0.00021523138 0.00013387832 6.970793e-05 6.685772e-05 6.465899e-05 7.231384e-05 8.298175e-05 7.703703e-05 9.682562e-05 0.00027125832 0.0005344546 3.8681388e-05 5.0082217e-05 6.824211e-05 6.3437474e-05 5.447968e-05 5.3828204e-05 5.952862e-05 0.00016067027 5.048939e-05 4.4381803e-05 5.4723983e-05 5.936575e-05 4.381176e-05 5.578263e-05 0.00027581863 0.0023664865 0.00039764465 0.00030562366 0.00039243285 0.0005846997 0.00061401614 0.00032068905 0.00053250015 0.0012689938 0.00014560488 0.00014356902 0.00028388065 0.0007374708 0.00022264192 0.00052346097 0.0011669564 0.0026898629 0.00067834934 0.00048754833 0.0005813609 0.00091198494 0.0009816114 0.0005105943 0.0007602725 0.0016863456 0.00015896015 0.00023501996 0.00028298487 0.001044316 0.00044683108 0.0007974066 0.0014223349 0.059204835 0.05971217 0.05826736 0.060436126 0.05851248 0.059277963 0.05974686 0.062165793 0.059456874 0.05933407 0.059226252 0.06101154 0.060625296 0.061145335 0.062026378 0.064827316 28300.0 6.12159 173241.0 0.013241669 0.008681548 0.009379997 0.009154877 0.009674384 0.009374225 0.009224145 0.009541621 0.009322274 0.010978925 0.009039431 0.009795602 0.009431947 0.010857707 0.010811528 0.00973788 0.010055357 0.009732108 0.009633978 0.009431947 0.010101534 0.009928365 0.00951276 0.009333818 0.009818692 0.010424784 0.00973788 0.010297793 0.010430557 0.009991861 0.009680157 0.010280476 0.008814311 0.0093049565 0.00973788 0.010009178 0.009414631 0.00986487 0.010136168 0.009836009 0.009085609 0.009991861 0.009506987 0.009506987 0.009483898 0.010216981 0.009668612 0.010713399 0.010805756 0.009333818 0.009403086 0.010649904 0.010026495 0.009726335 0.009934138 0.009928365 0.009195283 0.009714791 0.0098995045 0.009651295 0.009316501 0.009426175 0.009911049 0.011198273 0.009391542 0.014044019 0.010846162 0.012098753 0.012427774 0.01755358 0.010569092 0.010292021 0.011123233 0.014298001 0.009524304 0.010592181 0.014026702 0.010909658 0.012162248 0.014678973 0.011123233 0.009143332 0.014979133 0.013339798 0.015637176 0.011463799 0.009772513 0.009962999 0.009784058 0.010701855 0.010055357 0.00963975 0.009657067 0.009501215 0.010632587 0.01001495 6.5700893 0.0 0.0 0.0 95.0 6141703.0 319488.0 1.0 0.0 94.0 1.0 1.0 0.0 0.0 0.0 1513004900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 5.0 1.0 5.0 1.0 127488.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -128000.0 0.0 60416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6636496 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.12374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9345126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.619326 0.0 7.3306274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -127484.0 0.0 59960.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 178092.0 59960.0 249856.0 0.0 0.0 0.0 0.0 6072.0 311296.0 28.0 175552.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 175584.0 0.0 0.0 384.0 135168.0 0.0 0.0 0.0 0.0