Input: 0.058811918 0.0039659864 0.0037988974 0.003927028 0.0038266012 0.004107103 0.0040560244 0.0037201145 0.0042083957 0.0037850454 0.0037746564 0.0035807292 0.00357034 0.0035287843 0.003208458 0.0034569274 0.003588521 0.0031374667 0.0034023854 0.0033504404 0.003327931 0.0035694744 0.0033071532 0.0033582323 0.003882009 0.0039841672 0.0038058234 0.0039486717 0.0036300768 0.0039045184 0.0035677429 0.0037711936 0.003998885 0.0030734015 0.003553891 0.0034049826 0.0033677553 0.0035651457 0.0031504529 0.0032275044 0.0035668772 0.003526187 0.0034257604 0.003383339 0.0031461243 0.0035166638 0.003095911 0.003064744 0.0036447945 0.0033582323 0.0034474041 0.0038698886 0.0033365886 0.0035417706 0.0034093112 0.0033478432 0.0036162247 0.0035409047 0.003611896 0.003602373 0.0034569274 0.0037348322 0.003519261 0.0036041043 0.0040283203 0.0037538786 0.0037824481 0.003957329 0.0041088345 0.0042231134 0.003656915 0.0039053843 0.0045581576 0.004075071 0.00391231 0.004849914 0.0035227241 0.0036421972 0.003390265 0.0036491232 0.003533113 0.003204995 0.0035616828 0.003649989 0.0034612562 0.0036595121 0.003321005 0.0034292236 0.0039833016 0.0038335272 0.0037157857 0.003855171 0.0036404657 0.00390625 0.0035253214 0.0040162 0.003280315 0.0038361244 0.0034828999 0.0038266012 0.0035971783 0.0045365137 0.0031374667 0.0034534645 0.0036621094 0.0039209677 0.0034257604 0.0035296502 0.0034612562 0.003615359 0.0036032386 0.004018797 0.0037478183 0.0033287967 0.0042049326 0.0040525612 0.004237831 0.0038577681 0.0033097505 0.0034768395 0.0038664257 0.003687216 0.0036984708 0.0037547443 0.0035495623 0.0037928373 0.0036006414 0.0035971783 0.0035980442 0.0034794367 0.0032681946 0.0039858986 0.0034837655 0.0038508421 0.003235296 0.0038915323 0.003632674 0.0036603778 0.003417103 0.0039278935 0.00329763 0.0036889475 0.0030759987 0.0036560493 0.011194107 0.0033547692 0.0032621343 0.0040819966 0.0034049826 0.0036655723 0.0030742672 0.003683753 0.003923565 0.0038586338 0.0034560617 0.0041339416 0.003595447 0.003964255 0.0034127743 0.004101043 0.0038162123 0.0035322474 0.0035374418 0.003954732 0.0034967517 0.003966852 0.0032318332 0.0039114445 0.0039053843 0.0038655598 0.0036421972 0.0040897885 0.0034387468 0.0038837406 0.0033088846 0.0039036528 0.0036898132 0.0036984708 0.0036300768 0.0042023356 0.0036560493 0.0041893492 0.0034906915 0.003933088 0.003913176 0.0040283203 0.003704531 0.004378082 0.0037573415 0.0041330755 0.003629211 0.0041910806 0.0036664382 0.0035157981 0.0036370028 0.004135673 0.0036612437 0.0039555975 0.0033954594 0.0038387217 0.0038543053 0.003739161 0.0036776927 0.004053427 0.003417103 0.0036006414 0.0033028245 0.0039287596 0.0035764005 0.0031989347 0.003314079 0.0036673038 0.003485497 0.0036335397 0.0032742547 0.003622285 0.0037365635 0.003765999 0.003578132 0.0041850205 0.0036032386 0.0039079813 0.0035244557 0.0039521344 0.0034430753 0.0031236147 0.0033192737 0.003704531 0.003259537 0.0034525986 0.003085522 0.0034664506 0.0035729373 0.0033435146 0.00337295 0.003759073 0.003166902 0.003366024 0.0030517578 0.003290704 0.0036551834 0.0033868018 0.00333832 0.0038179439 0.003581595 0.003783314 0.0032794492 0.0037036652 0.0038638285 0.003527053 0.0036335397 0.0038984583 0.0035616828 0.0038560366 0.0036058358 0.00625935 0.017744062 0.0 0.0 0.0 0.0 4.3325755e-07 0.0 0.0 0.0 0.00621248 0.0 0.0 4.3325755e-07 0.0 0.0 0.0 0.0008374868 9.531666e-06 1.8630075e-05 1.7330302e-06 8.665151e-07 2.5995453e-06 2.1662877e-06 1.7330302e-06 1.7330302e-06 1.2997726e-06 1.2997726e-06 1.7330302e-06 1.2997726e-06 1.2997726e-06 2.1662877e-06 1.7330302e-06 0.0007997934 3.0328029e-06 3.0328029e-06 4.3325755e-07 1.0831439e-05 2.5995453e-06 1.7330302e-06 4.3325755e-07 2.1662877e-06 3.899318e-06 4.3325755e-07 1.2997726e-06 8.665151e-07 3.899318e-06 6.0656057e-06 4.6791814e-05 0.0015657927 6.0656057e-06 1.5597272e-05 1.603053e-05 7.278727e-05 1.9496589e-05 6.0656057e-05 2.989477e-05 4.3325754e-06 0.0008015265 2.469568e-05 3.0328029e-06 3.4660604e-06 6.932121e-06 3.4660604e-06 2.816174e-05 0.0034647605 4.8958103e-05 5.3723936e-05 8.665151e-06 9.401689e-05 3.1627802e-05 4.6791814e-05 3.552712e-05 1.5164014e-05 0.00045492043 1.8630075e-05 1.8196817e-05 3.3794087e-05 1.5164014e-05 2.8594997e-05 6.8021436e-05 0.0027277896 0.0001438415 9.6183176e-05 1.8196817e-05 0.00010831439 4.6791814e-05 0.00016420461 9.141734e-05 1.8196817e-05 1.776356e-05 1.5597272e-05 1.5597272e-05 2.2529392e-05 1.8630075e-05 2.2529392e-05 2.1662878e-05 0.0005896635 4.3325754e-06 4.3325754e-06 1.7330302e-06 3.8126665e-05 3.4660604e-06 2.1662877e-06 1.2997726e-06 3.899318e-06 6.0656057e-06 3.0328029e-06 5.1990905e-06 8.665151e-06 1.6897044e-05 1.4730756e-05 0.0001837012 0.011722216 0.0006269237 0.00047008443 0.00031714453 0.0010736121 0.00010268204 0.0002681864 0.00017373628 0.0002010315 0.0002681864 0.00025432216 0.0002915823 0.00015900552 0.00020796362 0.00010701461 0.0015025372 0.007348481 0.00042199285 0.0004939136 0.00027988438 0.00075083534 0.00019236635 0.0008487515 0.0003968639 0.00012824424 0.00017676907 7.75531e-05 8.968431e-05 0.0002694862 0.00015034036 9.271711e-05 0.0007044768 0.002104332 7.6686585e-05 0.00011611302 6.0656057e-05 0.00050561153 0.0001979987 0.0011039402 0.00056756736 6.238909e-05 8.5351734e-05 4.072621e-05 3.0761286e-05 8.8384535e-05 8.05859e-05 7.582007e-05 0.00012694446 0.0049027423 0.0006702494 0.0007582007 0.0005359396 0.0008886112 0.00045708672 0.0018833706 0.0011173713 0.00027208574 0.00013084378 0.00012477818 0.00012477818 0.000107881126 8.88178e-05 8.491848e-05 0.00027468527 0.0035596439 0.0005991952 0.0004848152 0.0004397564 0.00080369273 0.00042372587 0.00082795514 0.00052207534 0.000215329 0.00014817408 0.00012997726 0.00014254173 0.00013127703 0.00011351347 0.00011048067 0.00022096134 0.0029205892 0.0007270062 0.0006966781 0.0004315245 0.0008938103 0.0005099441 0.00104805 0.000645987 0.00020666384 0.00056800066 0.00023742513 0.00016420461 0.00014990711 0.0001837012 0.0001377759 0.00023915817 0.001266845 0.00036090353 0.00023829164 0.00020883014 0.00047788306 0.00021619552 0.00042459238 0.00027598505 0.00013907567 9.531666e-05 0.00011481325 0.0001204456 0.00010094901 0.00013127703 9.7482945e-05 0.00016767067 0.0004921806 0.00011481325 0.00015293992 7.75531e-05 0.00015727249 0.00010441507 0.00025865476 0.00014600779 0.0001377759 0.00015120688 0.00019453264 0.00018283469 0.00016463787 0.00012824424 0.00010571484 9.3150375e-05 0.052626494 0.053765096 0.050501365 0.05429237 0.05718653 0.056030598 0.051476628 0.05579924 0.055791005 0.057102043 0.058298267 0.061075017 0.058170892 0.056927443 0.05292111 0.057121973 4944.0 7.6444173 37794.0 0.025056887 0.006694184 0.006561888 0.007964227 0.008652167 0.008070064 0.005688734 0.0071704504 0.006800021 0.0075408793 0.006059163 0.006773562 0.0071704504 0.008572789 0.008255279 0.006641266 0.0076202573 0.006773562 0.008414034 0.011536223 0.006694184 0.006667725 0.007964227 0.006350214 0.0071969097 0.006985236 0.0077790124 0.006456051 0.0065089697 0.0053712227 0.0070646135 0.007911309 0.013256072 0.011377468 0.008149441 0.009816373 0.011668519 0.012091867 0.008519871 0.008308197 0.007726094 0.011192253 0.0073292055 0.007091073 0.00923427 0.0088903 0.008863841 0.009393025 0.010107424 0.0064825104 0.010451394 0.00923427 0.009948669 0.008414034 0.007990686 0.008175901 0.009472403 0.008255279 0.008017146 0.007699635 0.0073027466 0.007805472 0.008122982 0.012435837 0.006535429 0.026406309 0.011192253 0.018071651 0.015822617 0.037069377 0.008758004 0.011906652 0.011536223 0.02360163 0.0062179184 0.007964227 0.01918294 0.012568133 0.023151822 0.02833783 0.012673969 0.0074085835 0.02764989 0.021405514 0.030163517 0.013097317 0.0088109225 0.008308197 0.00955178 0.008996137 0.0071175317 0.0059004077 0.007091073 0.0074615018 0.0065089697 0.005741652 6.4020824 0.0 0.0 0.0 12.0 1155072.0 1523712.0 0.0 0.0 181.0 0.0 1.0 0.0 0.0 0.0 1129821700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 82.0 4.0 0.0 4.0 0.0 458752.0 4096.0 4096.0 9.0 3.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 491520.0 0.0 0.0 0.0 0.0 577536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 -53248.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.609006 0.0 0.0 0.0 0.0 7.997331 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.010511 5.586293 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 675886.0 0.0 0.0 0.0 0.0 589824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34028.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 -117985.0 -65536.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 793316.0 23136.0 1499136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 736.0 712704.0 0.0 0.0 0.0 0.0


Input: 0.18863925 0.010867568 0.0090137515 0.005482437 0.009974343 0.003377454 0.0027586839 0.003442325 0.008271893 0.00211829 0.002284626 0.0019211817 0.0046249744 0.0019112015 0.0013115599 0.006714987 0.010909151 0.0014820545 0.001171006 0.00087409606 0.0025782092 0.0021540523 0.0010836795 0.0008075616 0.0021033196 0.0007834429 0.0010520756 0.0010254619 0.0018338552 0.00066700764 0.0006952848 0.00065702747 0.008001597 0.0005788495 0.00096474926 0.0005605526 0.0045343214 0.0013082332 0.0005131468 0.000587998 0.0014496188 0.00091152167 0.00059631484 0.0012017782 0.0012782927 0.0007543341 0.0011926297 0.00059465144 0.0029724257 0.0008399972 0.00081837346 0.007965835 0.0012691442 0.00053144374 0.0006395622 0.00054807734 0.001881261 0.00059132476 0.001516985 0.0025491004 0.0015269652 0.0010936597 0.00063873053 0.0005846713 0.010746142 0.0034132162 0.004907746 0.0057726935 0.004430361 0.021632839 0.004579232 0.0026239515 0.0041883425 0.0033001078 0.0018978945 0.0017756376 0.0032568604 0.003932185 0.0029441486 0.0023686257 0.014416347 0.0017889445 0.0025357935 0.006994432 0.0035579286 0.009432918 0.0040577687 0.0031969794 0.0014679158 0.0048121028 0.002276309 0.003965452 0.0015835194 0.0029491386 0.0033084245 0.0019502905 0.0010662143 0.005583902 0.0013938963 0.003088861 0.008076448 0.010083293 0.0039538085 0.0022180916 0.005994752 0.0057519013 0.003915551 0.0009364721 0.004730598 0.002203953 0.00657776 0.0066692447 0.0031229598 0.000523127 0.006239266 0.0049534882 0.015166523 0.0074094404 0.0010687093 0.001413025 0.0024218531 0.0014429655 0.00076181925 0.0007659776 0.0017132616 0.0019236767 0.0010296203 0.0008449872 0.0088723665 0.0012857779 0.00048736468 0.008929752 0.003564582 0.0055065555 0.0007418589 0.0007036016 0.0019037164 0.011163645 0.0004740578 0.054724567 0.0009946898 0.009285712 0.0003351672 0.0004948498 0.0028110796 0.00039671155 0.00078094786 0.0005721961 0.0009980164 0.0011660159 0.00045908758 0.00037591954 0.0007842746 0.00064538396 0.0003684344 0.0008225319 0.00073437375 0.0004233253 0.00045492916 0.00036178096 0.0011285903 0.002906723 0.00038673138 0.00073437375 0.00083001703 0.00075516576 0.00037924625 0.0003268504 0.0008799178 0.0003268504 0.00057385943 0.0004108501 0.001032947 0.00036926608 0.00064787903 0.0005680377 0.0032718305 0.0011651842 0.0017856178 0.00080257154 0.0009198385 0.0004283154 0.002086686 0.0013157184 0.002297101 0.0016109649 0.002860149 0.000767641 0.0010803528 0.0006769878 0.0008333437 0.0010662143 0.011009784 0.0011876395 0.0016043114 0.010764439 0.0027561889 0.00046906772 0.0045168563 0.0025233182 0.0016883111 0.0015070048 0.0006736611 0.0005971465 0.0017365486 0.00041168177 0.0006512057 0.0005505724 0.002167359 0.0006886313 0.0021873193 0.0014471238 0.0012575007 0.00045659253 0.0017739743 0.0009697393 0.004066917 0.0007876013 0.0010046699 0.0024551204 0.0018305285 0.00068779965 0.0006495424 0.00093979883 0.001795598 0.00050316664 0.0006487107 0.0005838396 0.0026397535 0.0011252635 0.00068946305 0.0005306121 0.026517296 0.004509371 0.0011061348 0.005453328 0.004072739 0.00054059224 0.00075516576 0.00079758145 0.0060221977 0.0011718377 0.002159874 0.0015061732 0.003671869 0.0013315203 0.0027362285 0.002136587 0.0075000934 0.001985221 0.0024659324 0.0027220899 0.010023411 0.003023158 0.004140105 0.055570386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00078008446 7.243047e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011593037 0.0005457261 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009174942 0.004043618 1.9564552e-05 2.4559757e-05 4.3291773e-05 1.7899483e-05 4.495684e-05 2.4143488e-05 0.0017720489 9.990409e-06 2.247842e-05 3.0803763e-05 2.3310955e-05 1.3736812e-05 2.4143488e-05 5.5779783e-05 0.003522868 4.9119513e-05 6.285632e-05 4.9952047e-05 0.00012529638 0.0001036505 9.0746216e-05 5.203338e-05 0.0007305487 8.5334745e-05 5.8277387e-06 0.00010073662 8.741608e-06 6.244006e-06 9.157875e-06 0.00011197584 0.0057199257 0.0001781623 9.7822754e-05 0.000106148094 0.00048286977 9.241128e-05 5.7028585e-05 4.9119513e-05 0.00018607137 2.955496e-05 4.8286976e-05 0.00021063113 4.079417e-05 2.6641092e-05 8.908115e-05 0.00025808558 0.021891484 0.00020313832 0.0024197605 0.00023269329 0.0009324382 0.0006073336 0.0090604685 0.004263407 0.00018648764 0.00022686554 3.9545368e-05 0.00012446386 3.4550165e-05 2.247842e-05 4.620564e-05 0.00062939577 0.008549293 0.000121133715 0.00047704205 0.0001477748 0.0011821984 0.0008741608 0.004627641 0.00231944 0.000286808 3.9545368e-05 6.618646e-05 0.00015984655 7.159793e-05 3.9961637e-05 7.243047e-05 0.00057278347 0.0073887403 0.00045831 0.0005140898 0.00047329563 0.002129206 0.0011738731 0.0063310056 0.002799396 0.00014735853 7.9090736e-05 0.00015443508 8.158834e-05 5.910992e-05 6.327259e-05 5.9526188e-05 0.00025309037 0.014196788 0.00075219455 0.0018415655 0.0012338156 0.003825494 0.00195479 0.009067961 0.0043995264 0.0008662517 0.0004096068 0.00030554002 0.00041085557 0.0006722713 0.00022977941 0.00076343375 0.0025483868 0.022115435 0.0021408615 0.0010156916 0.0012433897 0.00740997 0.002311531 0.006457551 0.0035590832 0.0021088088 0.00062273553 0.0006202379 0.000914955 0.0011359928 0.0006922521 0.0013849204 0.0033850837 0.018575918 0.0011921888 0.0013716 0.0012854326 0.0070086885 0.0033663516 0.005267443 0.0028814005 0.004484861 0.0006114963 0.00080755807 0.0014394515 0.0015926377 0.0010935336 0.0021658374 0.0056791315 0.07562282 0.008247499 0.007411635 0.008451054 0.028421465 0.022917582 0.015697014 0.013377158 0.041234165 0.003978264 0.0040327953 0.008969306 0.01490569 0.008387364 0.020112775 0.041336566 0.07361766 0.011885673 0.009775199 0.01273569 0.030276768 0.034931466 0.015464737 0.017043639 0.057573896 0.0060725035 0.0061669964 0.010547791 0.024144322 0.012816862 0.027593095 0.053445775 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6292.0 12.465353 78432.0 0.020858834 0.00030599756 0.0014789882 0.00029324766 0.0021037331 0.00014024889 0.00024224806 0.00016574867 0.002868727 0.00249898 0.00042074663 0.00031874745 0.0016447369 0.0011092412 0.0016447369 0.0007267442 0.0013387393 0.0013132395 0.0011219911 0.0016064872 0.0016574868 0.0007012444 0.0007904937 0.00036974705 0.0010072419 0.0005864953 0.0069104447 0.0057757036 0.0014789882 0.00086699304 0.0011347409 0.00020399837 0.0014534884 0.01125816 0.010480416 0.018385353 0.014152387 0.018155854 0.009511424 0.0068211956 0.005367707 0.014356385 0.00056099554 0.0024607303 0.010454916 0.009090677 0.011028661 0.013004896 0.011704407 0.004730212 0.010709914 0.024581803 0.02232507 0.007739188 0.005227458 0.010544166 0.0022822318 0.008083436 0.0020782333 0.006629947 0.00077774376 0.0059032026 0.006744696 0.0068084453 0.0005099959 0.0433624 0.009536924 0.02376581 0.021445328 0.083103836 0.007904937 0.019099347 0.014496634 0.045249388 0.0014534884 0.0049597104 0.030995002 0.01504488 0.05505406 0.05507956 0.013871889 0.00034424724 0.049648102 0.03248674 0.06816095 0.019150347 0.004717462 0.007739188 0.005622705 0.0065534473 0.0022694818 0.00020399837 0.0005099959 0.00028049777 0.00015299878 0.00012749898 5.472906 0.0 1.0 0.0 4.0 1202385.0 1232896.0 0.0 0.0 523.0 0.0 1.0 0.0 1.0 0.0 1459953500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 1047040.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1040896.0 -14848.0 103424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.184317 -6.0239205 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.445871 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4758945 -5.3020144 4.949348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -6024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24980.0 0.0 0.0 -12392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1040516.0 -14400.0 103424.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -2.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 3.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 1.0 0.0 -2.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -3.0 0.0 -1.0 0.0 -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 1.0 1.0 1.0 2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 3.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14400.0 1101824.0 103424.0 1126400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1122304.0 0.0 0.0 0.0 0.0 2188.0 1104512.0 0.0 0.0 0.0 0.0


Input: 0.012451899 0.0040895175 0.0039587156 0.004051507 0.004013496 0.003950331 0.0038312676 0.0038390935 0.0040895175 0.0039050535 0.0038709554 0.0039257356 0.003926295 0.0039162333 0.0038396525 0.003910643 0.0039397106 0.0038731913 0.0038033186 0.0038022005 0.0039620697 0.0039704544 0.0038189702 0.003761954 0.0038491553 0.003854186 0.0037647488 0.0039056125 0.0038435652 0.003827914 0.003910643 0.0037725745 0.0038586578 0.0038273549 0.0038357396 0.0039441823 0.003922382 0.0038022005 0.003853068 0.003817293 0.0038418884 0.0038010827 0.0037401535 0.0038027596 0.0038256778 0.003916792 0.0039005815 0.0037943749 0.0038284727 0.003919587 0.003889402 0.0038362986 0.0038625707 0.0039056125 0.0038810172 0.003724502 0.0038743094 0.0038737503 0.0038273549 0.0038843711 0.0038698376 0.0038586578 0.003949213 0.0037485382 0.00417616 0.0039313254 0.004084487 0.0038888429 0.0038614527 0.0040906356 0.0037926978 0.003693199 0.0038407703 0.003754128 0.003853068 0.0038077903 0.0039984034 0.0039771623 0.0037446255 0.0038144982 0.00415436 0.0038374164 0.003921264 0.0040090242 0.0038323856 0.0039229407 0.0038983456 0.003974926 0.0038586578 0.0037982878 0.0038430064 0.0038329447 0.003918469 0.0037496563 0.0037960517 0.0037664257 0.0038335037 0.0040269117 0.0038413294 0.00385754 0.0039044945 0.0040649227 0.003855863 0.0038284727 0.0039011405 0.0038849302 0.004019086 0.0038435652 0.003924618 0.0038267958 0.0037954927 0.0038798992 0.0038804582 0.0038446833 0.0039687776 0.003920705 0.0041934885 0.0041985195 0.0037714567 0.0038776633 0.003920146 0.0038312676 0.0037641898 0.003755246 0.0038161753 0.0039352383 0.0038452423 0.0038061135 0.0038966688 0.003919587 0.0038049954 0.0039570387 0.0038267958 0.0039671003 0.0037742516 0.0037653078 0.0038737503 0.0039950497 0.0038368576 0.0042963414 0.0038592168 0.0038681605 0.0038295907 0.0038100265 0.0038156162 0.0037826363 0.0038016415 0.0037831953 0.003759159 0.003886048 0.0038614527 0.003887166 0.0037859902 0.0038256778 0.003886048 0.0038049954 0.0038759864 0.003783754 0.0038256778 0.0038430064 0.0038122623 0.0037714567 0.003786549 0.0037809592 0.0037725745 0.0038927558 0.0038731913 0.0038692786 0.0038424474 0.0038133801 0.0037798414 0.0038318266 0.0038620117 0.0038396525 0.0037149992 0.0038256778 0.003821765 0.0038737503 0.003759159 0.003758041 0.0038335037 0.0038659247 0.0037848721 0.0037697796 0.0038916378 0.003854186 0.0039307666 0.0038687196 0.003853627 0.0038267958 0.0038737503 0.0037938158 0.003952567 0.0039285305 0.0038441243 0.0038513911 0.0037932568 0.00385754 0.0038189702 0.003788785 0.0038843711 0.0039441823 0.0038424474 0.0038284727 0.0037994056 0.003784313 0.0037804004 0.003788226 0.0039050535 0.003788226 0.0039363564 0.0038323856 0.003816734 0.0038441243 0.0037826363 0.0038189702 0.003887725 0.0039335615 0.0037474204 0.003787108 0.0038362986 0.0037496563 0.0038374164 0.0038044364 0.0038178521 0.0036574241 0.003726738 0.0037278559 0.0038687196 0.0038089084 0.0038379754 0.0038307088 0.004141503 0.0038463601 0.0038385345 0.0038424474 0.0039369157 0.0038469192 0.0038379754 0.0038743094 0.0037468614 0.003850832 0.0038290317 0.0038005237 0.0038133801 0.0038223239 0.0038944327 0.0037608359 0.00391791 0.0038771043 0.0038614527 0.003910643 0.003976603 0.003930208 0.0039570387 0.006407619 0.0017165351 0.0 2.796571e-07 0.0 5.593142e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.796571e-07 0.0 0.0 5.593142e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00049667095 3.355885e-06 6.1524556e-06 2.5169136e-06 8.110055e-06 1.0347312e-05 9.787997e-06 1.9575996e-06 8.949027e-06 5.593142e-07 1.1186283e-06 8.3897123e-07 2.7965707e-06 8.3897123e-07 1.6779425e-06 1.7059081e-05 0.00047206113 8.3897123e-07 3.0762278e-06 6.9914267e-06 6.9914267e-06 8.949027e-06 1.2864225e-05 3.915199e-06 6.1524556e-06 3.0762278e-06 1.6779425e-06 6.9914267e-06 1.0347312e-05 3.0762278e-06 5.033827e-06 2.0694624e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015255293 2.684708e-05 7.550741e-05 5.9566955e-05 0.00023686954 0.00012276946 0.00064964336 0.0003850878 4.782136e-05 2.0414966e-05 2.572845e-05 4.866033e-05 3.160125e-05 1.7898054e-05 1.8457367e-05 0.00014402339 0.0009010551 3.160125e-05 0.00015465036 5.4533128e-05 0.00013339642 6.963461e-05 0.00032160562 0.00021813251 6.12449e-05 0.00014038786 4.7541704e-05 3.3838507e-05 4.2507876e-05 2.2652222e-05 3.439782e-05 0.00059650856 0.0009947402 3.1041935e-05 6.488044e-05 6.460078e-05 8.92106e-05 7.634638e-05 7.327015e-05 6.655839e-05 8.0541235e-05 7.5787066e-05 4.5584104e-05 6.851598e-05 9.5922376e-05 4.6143417e-05 4.3906162e-05 0.0003739015 0.0009340546 8.976992e-05 0.00023379331 0.00016471802 0.00013115916 6.879564e-05 0.00019268373 0.00017366704 0.00013367608 0.0001778619 0.000117176314 0.00011130352 7.914295e-05 4.138925e-05 6.404147e-05 0.00072319317 0.0018504908 0.00036075764 0.00022680189 0.0003381054 0.0005377806 0.00045080722 0.00029783478 0.00046562904 0.00060154236 0.00016891287 0.00012780329 0.00011829494 0.0003126566 0.00015604864 0.00036523215 0.0010668917 0.0015705541 0.00036327454 0.00025504726 0.0003341902 0.00060182204 0.00049135747 0.0002273612 0.0005070183 0.0006255929 0.00011130352 0.000108786604 0.000121650824 0.00031377524 0.00013255746 0.0003258005 0.00078276015 0.060906794 0.060768083 0.06047892 0.060724456 0.060576797 0.06082737 0.060506605 0.06051667 0.060729492 0.0605259 0.060607 0.060863446 0.060611196 0.060903158 0.06059358 0.060650907 8256.0 5.9491277 49116.0 0.010811141 0.009528463 0.010607542 0.009426664 0.009304504 0.009956023 0.009406303 0.009609903 0.009772783 0.008775145 0.008734425 0.010139262 0.009894943 0.010363222 0.0103428615 0.009467383 0.010139262 0.009956023 0.010526101 0.010261422 0.009304504 0.009833863 0.008978744 0.009508103 0.009996742 0.010118902 0.009569183 0.009569183 0.0109333005 0.010505741 0.009711703 0.009793143 0.010220702 0.01150338 0.009854223 0.011136901 0.010546462 0.010403941 0.010607542 0.010139262 0.0099153025 0.009854223 0.009447023 0.009121264 0.010831501 0.0103428615 0.008754784 0.009732063 0.011014741 0.010302142 0.010281782 0.01132014 0.010057822 0.010098542 0.009793143 0.010281782 0.010159622 0.009935662 0.008795504 0.010465021 0.009874582 0.009609903 0.009609903 0.009894943 0.010302142 0.012806417 0.009630263 0.010851861 0.0116255395 0.017957488 0.009467383 0.0107704215 0.010424302 0.013580096 0.009772783 0.009304504 0.013111817 0.01138122 0.012562098 0.013742976 0.010811141 0.009609903 0.013804056 0.012297418 0.015208893 0.01148302 0.009956023 0.010017103 0.0107704215 0.010831501 0.009650623 0.009569183 0.010078182 0.010363222 0.009630263 0.009874582 6.5736465 0.0 1.0 0.0 17.0 1788964.0 217088.0 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 23040.0 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 -23040.0 0.0 23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.262078 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.617802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.481953 0.0 4.8354335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 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 -110456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22738.0 0.0 22992.0 0.0 0.0 0.0 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 22992.0 192512.0 0.0 0.0 12456.0 47794536.0 0.0 0.0 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: 0.0069889547 0.0040091504 0.0040069334 0.0040772767 0.0039037368 0.003877333 0.0039065587 0.003930947 0.0039196596 0.003897287 0.0039146207 0.0038870077 0.003914419 0.003928528 0.0038358124 0.00396501 0.0039109928 0.0038839844 0.0038662474 0.0038009433 0.0038888217 0.003915024 0.0038716896 0.0039373967 0.0039426372 0.0038821704 0.003841053 0.0038049745 0.0038380297 0.0038910387 0.0038980932 0.0038571774 0.0038880154 0.003866852 0.0038789455 0.003877333 0.003896884 0.0038970856 0.0038722942 0.0038749143 0.0039124037 0.0038045712 0.0038731003 0.0038261379 0.0038503245 0.0038535495 0.0038906357 0.0038452856 0.0039210706 0.0039412263 0.003863627 0.0038597977 0.0038795501 0.0038731003 0.0038781392 0.003916838 0.0038644334 0.0039146207 0.0038769299 0.003907365 0.0038499213 0.0039023259 0.003847906 0.0038436733 0.0040496634 0.0039130086 0.00391583 0.003893256 0.0038978916 0.0040081427 0.0038567742 0.0038563712 0.0038777362 0.0039424356 0.0038493166 0.0038785425 0.0038539525 0.003928125 0.003877333 0.0038309752 0.003952312 0.0038902326 0.0039035352 0.003929939 0.0038735035 0.003925505 0.00395211 0.0038993026 0.0038563712 0.0038656427 0.0038599991 0.0039049461 0.003838231 0.0038835811 0.003907768 0.0038569758 0.0039103883 0.003924094 0.0038581851 0.003879147 0.003900512 0.0039902045 0.0038763252 0.003907365 0.0039047445 0.0039474745 0.003967227 0.0039031322 0.003906357 0.0038811625 0.0039037368 0.0038825735 0.003925908 0.0039101867 0.003983553 0.0039148224 0.0039801267 0.0039764987 0.0038922483 0.0039365906 0.0038612084 0.0039003105 0.00391583 0.0038525416 0.0038916436 0.0039390093 0.003837828 0.0038394404 0.0040010884 0.0038640304 0.0039117993 0.0039216755 0.0038880154 0.003875116 0.003848712 0.0038339985 0.00399867 0.0038995042 0.0038626194 0.0039861733 0.0038799532 0.003900512 0.0038771315 0.0038626194 0.003861007 0.003832386 0.0038444793 0.0038585884 0.0038708833 0.0038706816 0.0038368204 0.0038606038 0.0038485106 0.0038775345 0.0038898294 0.003847906 0.0038583868 0.0039041399 0.0038420607 0.0038892247 0.003851937 0.0038608054 0.0038684646 0.0038581851 0.003886403 0.0038511308 0.0038698753 0.0038602008 0.0038354094 0.0038511308 0.0038557665 0.0038325875 0.003863224 0.0038499213 0.0039279237 0.0038559681 0.0038910387 0.0038857984 0.0038706816 0.0038158584 0.003857782 0.0039035352 0.0039202645 0.0038670537 0.0038307735 0.0038702786 0.0038422623 0.0039031322 0.0038724956 0.0038579837 0.0038962793 0.0039246986 0.003893256 0.0039430405 0.0038966823 0.0038759222 0.0038837828 0.003909179 0.0038652397 0.003926513 0.00395211 0.0039033338 0.0039466685 0.0038539525 0.003932156 0.0038708833 0.0038745112 0.0038301689 0.0038761236 0.0038811625 0.0038626194 0.0038561695 0.0039218767 0.003914419 0.0038475026 0.0038674567 0.0039041399 0.0038726972 0.0039261095 0.003868666 0.00387048 0.003945056 0.003884992 0.0038813641 0.003920063 0.003868666 0.003837828 0.00384327 0.003922885 0.0039257063 0.003913613 0.0038974886 0.003968033 0.0039746845 0.0038398437 0.003912202 0.0038892247 0.00391321 0.0038722942 0.0039057524 0.0038857984 0.0038934576 0.0038853954 0.0038745112 0.0038853954 0.0039547305 0.0039093806 0.003893256 0.0039525134 0.00391059 0.0039410247 0.0038539525 0.003884992 0.0038769299 0.0038662474 0.0047232634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001536211 3.628845e-06 4.83846e-06 5.342466e-06 4.1328512e-06 1.9152237e-06 3.8304474e-06 1.7136213e-06 4.1328512e-06 1.8144225e-06 3.0240374e-06 1.0080125e-06 2.1168262e-06 3.1248387e-06 2.41923e-06 9.777721e-06 0.0001377953 3.628845e-06 4.83846e-06 3.8304474e-06 4.2336524e-06 5.140864e-06 7.25769e-06 4.939261e-06 1.370897e-05 4.03205e-07 7.056087e-07 4.03205e-07 4.03205e-06 1.209615e-06 1.61282e-06 1.2700957e-05 0.00040895067 7.25769e-06 2.671233e-05 2.106746e-05 7.368571e-05 3.6691654e-05 0.0002260972 0.00011501423 3.4675628e-05 4.737659e-06 4.536056e-06 3.22564e-06 1.2297753e-05 1.5825795e-05 6.6528823e-06 3.4776433e-05 0.00035098995 1.0382529e-05 1.5926596e-05 1.20961495e-05 6.2799176e-05 2.8123548e-05 0.00012630396 0.00010876455 1.7337814e-05 9.273715e-06 8.0641e-06 6.45128e-06 1.1793746e-05 1.1793746e-05 8.467305e-06 3.719566e-05 0.00044402952 1.8043424e-05 1.6632206e-05 2.741794e-05 4.1731717e-05 2.3184288e-05 3.3768418e-05 4.6368576e-05 6.612562e-05 1.4212976e-05 2.2781081e-05 1.3910572e-05 3.6691654e-05 5.483588e-05 4.1832518e-05 0.00013063842 0.0005953322 1.7237013e-05 3.4776433e-05 4.84854e-05 6.9351256e-05 4.2336524e-05 0.00010735333 0.00010785733 8.326183e-05 6.259757e-05 8.467305e-05 7.660895e-05 0.00010211166 0.00014606101 0.00015896356 0.0005338434 0.0011386509 0.00015069787 7.7818564e-05 0.00013003362 0.00024504785 0.00019071596 0.00012388473 0.00020281211 0.00031984237 7.2274495e-05 9.293875e-05 0.00014092015 0.00021510986 0.0001533187 0.00022559319 0.0004427191 0.00075318693 0.0001772086 0.000145557 0.00018315588 0.00025432155 0.00023043166 0.00017912382 0.00023879817 0.00025502715 6.037995e-05 6.300078e-05 6.794004e-05 0.0001532179 7.3988114e-05 0.00016148361 0.0003062342 0.06189126 0.061647926 0.061584726 0.06171214 0.061678268 0.061748125 0.061727963 0.06173401 0.061625347 0.061576158 0.061508115 0.06170871 0.06183048 0.061728165 0.061807193 0.061692078 23094.0 5.773664 133337.0 0.011422186 0.010702206 0.010102222 0.009929727 0.010462212 0.010027224 0.010312216 0.009869728 0.010117222 0.009749732 0.009997225 0.010027224 0.010019724 0.010012224 0.010214719 0.010349715 0.010664707 0.010649707 0.010012224 0.010357215 0.010139721 0.009869728 0.009839729 0.010057223 0.0099822255 0.009787231 0.0102822175 0.009884728 0.010357215 0.010357215 0.009809731 0.010214719 0.010139721 0.0109047005 0.010229719 0.010387214 0.010807203 0.010312216 0.010387214 0.010439713 0.010364715 0.010439713 0.0095172385 0.010124722 0.00981723 0.010019724 0.009997225 0.010072223 0.010462212 0.010327216 0.010619708 0.010814702 0.010019724 0.010387214 0.010042224 0.010342215 0.010477212 0.0101322215 0.009959726 0.009779731 0.00946474 0.010124722 0.010199719 0.0098247295 0.010439713 0.012209664 0.010454712 0.010777203 0.011129694 0.013724622 0.010109722 0.010589709 0.010484711 0.012442158 0.0099822255 0.010357215 0.011512184 0.01054471 0.011857174 0.012044669 0.010687206 0.010109722 0.011789676 0.011812176 0.012449658 0.010739705 0.009794731 0.01055971 0.010042224 0.010814702 0.010064723 0.009772231 0.009794731 0.010454712 0.009779731 0.01015472 6.581919 2.0 11.0 0.0 90.0 4961400.0 229376.0 0.0 0.0 159.0 0.0 1.0 1.0 0.0 0.0 1517284600.0 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 -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 6.0 0.0 4.0 0.0 4.0 0.0 24576.0 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 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3120575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1295877 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4872384 0.0 5.9126625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24333.0 0.0 29080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 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 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 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 160.0 29736.0 29080.0 196608.0 0.0 0.0 4504.0 4956896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.5214451 0.0035014777 0.009352993 0.0022832307 0.002432564 0.0020042127 0.0020081426 0.0023382483 0.0021456867 0.0019216863 0.0016858967 0.0018981074 0.0018116512 0.0022124937 0.0019334758 0.0020985287 0.002157476 0.0051559354 0.0017055458 0.0020042127 0.0017762827 0.0016269492 0.0017173353 0.001862739 0.0020513707 0.0019138267 0.0018470197 0.0019256162 0.001768423 0.001792002 0.0016937563 0.0018313003 0.0019649144 0.001929546 0.0014343875 0.0017566335 0.0018470197 0.0015129842 0.0015601421 0.0018195108 0.0015287035 0.0013675805 0.0013440015 0.0015601421 0.0017605633 0.0015326333 0.0017291247 0.0018470197 0.0022242833 0.0019098968 0.0015719316 0.0021260374 0.0019845637 0.0017330545 0.002043511 0.0018037915 0.0018902477 0.0015562123 0.0017762827 0.0018352302 0.0019806337 0.0017527037 0.0017409142 0.0017959318 0.0017134055 0.0018509495 0.0018705986 0.0018037915 0.0014540367 0.0016033702 0.0019924233 0.0017369844 0.0016348088 0.0017212651 0.001308633 0.001678037 0.0016937563 0.0019845637 0.0018037915 0.0015680018 0.0017998617 0.0014186683 0.0016819668 0.0014618963 0.0015955105 0.0014658262 0.0016426685 0.0014618963 0.0023028797 0.0016937563 0.001583721 0.0018470197 0.0015680018 0.0018352302 0.0014972648 0.0014736858 0.002023862 0.0018352302 0.0016387387 0.0019924233 0.0020160023 0.0015876509 0.0018705986 0.0016583878 0.0020985287 0.0018195108 0.0015601421 0.001744844 0.0019609847 0.0019845637 0.0020042127 0.001905967 0.0019413355 0.0013872297 0.0016190895 0.001815581 0.0022910903 0.0020042127 0.0018548793 0.0017291247 0.0019884934 0.001426528 0.0015051245 0.0018116512 0.0018077213 0.0020081426 0.0013164927 0.0016741072 0.0025583187 0.0017762827 0.001815581 0.0023146693 0.0020317216 0.0016662475 0.0016348088 0.0019020372 0.0017212651 0.0015208438 0.001768423 0.002574038 0.002157476 0.0020788796 0.0017094756 0.0015994404 0.0018509495 0.0022793007 0.0015090543 0.0015562123 0.001355791 0.0012771944 0.0015680018 0.0015208438 0.0015208438 0.0018077213 0.0016505282 0.001701616 0.0019491952 0.001402949 0.0015955105 0.0012614751 0.0021771253 0.001725195 0.001493335 0.0017880722 0.0015680018 0.001540493 0.0014225981 0.0013204225 0.001540493 0.0015719316 0.001355791 0.0013715103 0.001630879 0.001540493 0.001516914 0.0013990192 0.001972774 0.0016937563 0.0016623177 0.0018784582 0.0013754402 0.0014972648 0.0020356514 0.0019609847 0.002412915 0.0015758615 0.0019491952 0.0015758615 0.0014225981 0.0014383174 0.0017173353 0.001630879 0.0022871604 0.0019570547 0.001768423 0.0020553006 0.0015444228 0.0015797912 0.0020042127 0.0019924233 0.0017134055 0.0015090543 0.0012064575 0.0014304577 0.0017605633 0.0014815455 0.0017802125 0.0015719316 0.0017998617 0.0016348088 0.001516914 0.0014658262 0.0016662475 0.0014304577 0.0018981074 0.0016741072 0.001953125 0.0018234407 0.0015129842 0.002456143 0.0016819668 0.0018745285 0.0017841423 0.0019216863 0.0024050553 0.001815581 0.0016976862 0.0017212651 0.0016858967 0.0013518612 0.0016858967 0.0018234407 0.0021417567 0.0018548793 0.0017527037 0.0018784582 0.0019570547 0.00183916 0.0016151597 0.001862739 0.002271441 0.0016426685 0.0016741072 0.0015562123 0.0016662475 0.0013872297 0.0015483527 0.0021928446 0.002137827 0.0014618963 0.0014736858 0.001976704 0.0017409142 0.0015208438 0.0016701773 0.018100793 0.46558705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006442545 7.709704e-05 0.00010279605 0.00011070344 0.00012849507 0.00010674975 0.00011861083 9.291182e-05 0.00017396254 4.5467485e-05 2.9652707e-05 6.128226e-05 9.093497e-05 3.36064e-05 0.000116633986 0.00036571673 0.0061381105 7.314335e-05 8.698127e-05 0.00016803201 0.00016605516 0.000142333 0.00015419407 0.00011861083 0.0002055921 0.00011465714 6.325911e-05 9.4888666e-05 0.00012849507 7.314335e-05 9.093497e-05 0.00027873545 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005238645 0.000120587676 0.00011861083 9.8842356e-05 7.314335e-05 9.093497e-05 0.00011465714 0.00021547634 0.00015814777 0.00018384679 0.00014826354 0.000100819205 0.00015024039 0.00023326797 0.00018977733 0.00086190534 0.0021527866 2.767586e-05 8.105073e-05 8.105073e-05 7.709704e-05 5.9305414e-05 7.314335e-05 5.9305414e-05 0.00012454137 0.0002055921 4.9421178e-05 5.1398027e-05 0.0001047729 6.72128e-05 7.5120195e-05 0.00075910933 0.01850922 0.0019985924 0.00060096156 0.0009370255 0.00067608175 0.00061084575 0.00077887776 0.0009429561 0.0014925196 0.00086190534 0.0005989847 0.0010497059 0.0010022615 0.000853998 0.0011169186 0.004406392 0.008294851 0.0015122881 0.00030245763 0.0005218877 0.00040525367 0.0005021192 0.00055154035 0.00068398914 0.0010536596 0.00097063195 0.000529795 0.00089946546 0.0010655206 0.001395654 0.0017771856 0.007873782 0.015818732 0.0015953156 0.0004902581 0.0010931964 0.00091923395 0.0011445945 0.0012019231 0.0014193762 0.0017040423 0.0016625285 0.0016961349 0.0014213531 0.0016190378 0.001526126 0.001577524 0.0055964543 0.0013798394 0.00022338373 0.00017396254 0.00018977733 0.0002510596 0.00017198571 0.00021943003 0.00019966156 0.00028268914 0.000116633986 0.00010279605 0.00012849507 0.0001383793 0.00014035615 0.00015024039 0.00017989309 0.0024018693 0.00040723052 0.00043292952 0.00039536942 0.00041711476 0.00033408718 0.000478397 0.0003222261 0.00040920737 0.00030443448 0.000258967 0.0002471059 0.00037164727 0.00040723052 0.00043886006 0.0004704896 0.02949456 0.02679221 0.02408986 0.026098337 0.02425196 0.023071783 0.025950072 0.02412149 0.025165264 0.021383556 0.021500189 0.023759726 0.022949219 0.023364356 0.023502735 0.02316865 614.0 6.2833877 3858.0 0.009072058 0.010627268 0.008035252 0.013478486 0.009072058 0.009849663 0.006739243 0.009072058 0.0064800414 0.0049248314 0.007516848 0.009849663 0.008035252 0.009072058 0.008294453 0.01088647 0.00933126 0.01088647 0.009849663 0.012960083 0.013219285 0.010108865 0.013478486 0.008553655 0.016848108 0.009072058 0.010108865 0.010108865 0.011145671 0.00933126 0.008035252 0.008553655 0.006998445 0.011145671 0.012182478 0.00777605 0.0072576464 0.010368066 0.009849663 0.012960083 0.00777605 0.008812857 0.0057024364 0.00777605 0.012182478 0.01399689 0.009849663 0.008812857 0.010108865 0.00777605 0.012700881 0.008035252 0.00777605 0.00622084 0.008812857 0.009849663 0.04224987 0.010108865 0.008294453 0.00933126 0.008294453 0.010368066 0.008035252 0.005443235 0.009072058 0.011404873 0.006739243 0.013478486 0.0155521 0.013478486 0.007516848 0.009590461 0.012700881 0.020995334 0.008035252 0.008294453 0.012960083 0.014515293 0.011145671 0.01244168 0.008294453 0.0064800414 0.011145671 0.0072576464 0.02799378 0.01399689 0.008553655 0.01088647 0.019440124 0.005443235 0.005443235 0.005443235 0.011145671 0.019440124 0.005443235 0.00622084 6.468102 0.0 0.0 0.0 2.0 254464.0 471040.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 995027260.0 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 7.0 2.0 7.0 4.0 5.0 0.0 4.0 0.0 77824.0 4096.0 4096.0 3.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.972546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9987264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 0.0 0.0 237568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 151552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 228.0 350324.0 118784.0 319488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.10919346 0.004434852 0.0030563455 0.002993328 0.0034580815 0.002504943 0.0025915918 0.008412827 0.0028830476 0.0030563455 0.0023158907 0.0026546093 0.0031429944 0.0076251095 0.002504943 0.0029303106 0.0034895902 0.0027097496 0.0026782409 0.0029381877 0.0027963985 0.0027963985 0.0027570126 0.002867293 0.0028042758 0.007774776 0.0029066792 0.0028751704 0.0026939951 0.0031036085 0.002859416 0.008649142 0.0049862545 0.004757816 0.008932721 0.0031587488 0.0034265728 0.0031036085 0.0029618193 0.0026467321 0.002686118 0.0028830476 0.0024182939 0.003079977 0.0029066792 0.0042064134 0.0029539422 0.002985451 0.0051201666 0.0049468684 0.00527771 0.0053407275 0.0062702345 0.0042615538 0.0041197645 0.0038676949 0.004080379 0.004064624 0.003914958 0.00430094 0.0041591506 0.004167028 0.0041591506 0.00441122 0.005135921 0.0056794463 0.005159552 0.004765693 0.0056873234 0.0043403255 0.004702676 0.004923237 0.004214291 0.0044742376 0.0042379224 0.0040331157 0.004182782 0.004426975 0.0038913265 0.0037968003 0.00374166 0.0028830476 0.0027963985 0.0029775738 0.0026467321 0.0026152234 0.0027648897 0.0031429944 0.002985451 0.0027255039 0.0027255039 0.0030012052 0.0026939951 0.0028042758 0.0025837147 0.002993328 0.0025443288 0.0034974674 0.0026231005 0.002993328 0.0035526077 0.0035526077 0.0028436617 0.0027648897 0.003079977 0.0034029414 0.0027412584 0.002638855 0.0035604849 0.0022213645 0.0029145563 0.003213889 0.0028042758 0.0025915918 0.004135519 0.0033793098 0.0034344501 0.0031823802 0.0026152234 0.002812153 0.0027963985 0.007979582 0.0023158907 0.002552206 0.0025443288 0.0027570126 0.0032296435 0.0037889231 0.0032296435 0.0029224334 0.0025364517 0.0030878542 0.0029303106 0.0035447306 0.0030642226 0.0030090823 0.0031587488 0.0034186956 0.0030012052 0.0039070807 0.0027648897 0.0034895902 0.0026703638 0.0030484684 0.0024970658 0.007696004 0.0024419255 0.007522706 0.0023710309 0.0022213645 0.002197733 0.0023552766 0.0025285746 0.0025364517 0.002504943 0.008026846 0.0076723723 0.0023158907 0.0024813113 0.0023001363 0.0029381877 0.003040591 0.0028988018 0.0030563455 0.0028909247 0.0029381877 0.0027097496 0.0025206972 0.003119363 0.0030642226 0.0027963985 0.0026467321 0.0029618193 0.0027491355 0.0031981347 0.0033950643 0.0028515388 0.00251282 0.0027963985 0.002946065 0.0024025396 0.0024813113 0.0025758375 0.0022765046 0.0026546093 0.008200143 0.0020874524 0.0026546093 0.0024419255 0.0025443288 0.0029539422 0.0026546093 0.0081371255 0.007916565 0.0025285746 0.002552206 0.0023867853 0.0023710309 0.0025679604 0.0027570126 0.002638855 0.007569969 0.0023395221 0.0077038812 0.002772767 0.00779053 0.0023158907 0.002630978 0.003347801 0.0025994692 0.003387187 0.0027412584 0.0027333812 0.0030720998 0.0030248368 0.0028988018 0.003473836 0.002772767 0.0026073463 0.0029303106 0.008121371 0.0037495373 0.0035841165 0.0029539422 0.0032769064 0.0077275126 0.002638855 0.002378908 0.0025994692 0.0025758375 0.0024025396 0.0024261712 0.0030957314 0.0026152234 0.0034029414 0.0025994692 0.008066231 0.0027885213 0.0025758375 0.0026073463 0.003040591 0.002686118 0.003032714 0.0029145563 0.0033635555 0.0027491355 0.0026231005 0.0030012052 0.0035526077 0.0028436617 0.0028357843 0.0026467321 0.003079977 0.0030169596 0.0032375206 0.005395868 0.024590164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-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 0.0063916817 2.4013832e-05 2.0011526e-05 8.00461e-06 0.0001480853 3.602075e-05 5.202997e-05 0.00027615906 0.000576332 0.0 3.201844e-05 3.602075e-05 0.00012006916 8.00461e-06 0.00010405994 0.0003642098 0.019927477 0.00021212218 8.0046106e-05 0.013615843 0.014112129 0.00017610143 0.00010405994 0.00013207608 0.00010405994 0.00012006916 0.00011206455 8.8050714e-05 0.00012006916 9.205302e-05 0.000116066854 6.803919e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.012255059 0.0009605533 0.0018810835 0.0010005763 0.002109215 0.00090452103 0.001192687 0.0007244173 0.000956551 0.00018810834 0.00042424435 0.0003642098 0.00034820056 0.00040423285 0.0003602075 0.0005162974 0.0058913934 0.0027976115 0.0017249936 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0026415216 0.00019211066 0.00534708 0.000108062246 0.0015328829 0.0065517738 0.001324763 0.0032418673 0.00016009221 0.007060067 0.0024614178 0.0012647285 0.001664959 0.0022573003 0.00078445184 0.0019731366 0.0020691918 0.0004482582 0.0034659964 0.00039622822 0.0010726178 0.004258453 0.0012086962 0.0020371734 0.0003642098 0.0076444033 0.0029016715 0.0018570697 0.0031818328 0.001612929 0.0014488345 0.0018210489 0.003381948 0.0017610143 0.0033379227 0.0005202997 0.0014608414 0.0043104826 0.001428823 0.00288166 0.0014328253 0.008504899 0.0032298604 0.004966861 0.0033419249 0.0053390753 0.0026895492 0.002397381 0.0025214523 0.0032298604 0.0032818904 0.002281314 0.002085201 0.0039142547 0.0036541047 0.0025934938 0.0033459272 0.044673733 0.04411341 0.046154585 0.04386927 0.044209465 0.039402697 0.03847016 0.039454725 0.04208424 0.043661147 0.04324091 0.040271197 0.047111135 0.046174597 0.0420162 0.043617122 1156.0 7.1531143 8269.0 0.017293505 0.026726328 0.006167614 0.0042326762 0.006409481 0.0060466803 0.004595477 0.004958278 0.004595477 0.0044745435 0.003748942 0.003748942 0.0041117426 0.0062885475 0.0055629457 0.004716411 0.021888983 0.022977386 0.023702987 0.026605394 0.023944855 0.013907365 0.01608417 0.011488693 0.011004958 0.011609626 0.013786431 0.012456162 0.01342363 0.012698029 0.01342363 0.01572137 0.014632966 0.02346112 0.013907365 0.01814004 0.022493651 0.015116701 0.01608417 0.028782198 0.014028299 0.017172573 0.011609626 0.0147539005 0.014632966 0.014874834 0.015842302 0.013181763 0.017656306 0.0055629457 0.0060466803 0.00907002 0.004958278 0.0029024065 0.0052001453 0.0062885475 0.0066513484 0.0052001453 0.0050792117 0.0056838794 0.0026605395 0.0055629457 0.00435361 0.005321079 0.0036280083 0.010037489 0.0050792117 0.007860685 0.010158423 0.021647116 0.004958278 0.0050792117 0.006530415 0.012214295 0.00435361 0.004595477 0.013302697 0.006772282 0.010037489 0.011609626 0.006167614 0.005804813 0.01814004 0.010400291 0.016326036 0.0072560166 0.0041117426 0.006772282 0.0042326762 0.0062885475 0.0036280083 0.0035070747 0.004716411 0.0038698753 0.0048373444 0.010763091 6.324855 0.0 0.0 0.0 5.0 126949.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 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 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.984441 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.15209426 0.008621309 0.008333932 0.008693153 0.01914649 0.0054960847 0.002694159 0.0025504706 0.013650406 0.00118543 0.0027660034 0.00118543 0.0065019038 0.0039873556 0.0021553272 0.0058193835 0.008693153 0.0052087074 0.0015805733 0.0012213521 0.0043465765 0.006322293 0.00118543 0.00079028663 0.0045621092 0.0005029097 0.000898053 0.0010776636 0.00592715 0.0013650405 0.00096989726 0.00096989726 0.005603851 0.00071844243 0.00079028663 0.00075436453 0.0355629 0.0013291185 0.0012213521 0.00043106545 0.0031970688 0.0006825203 0.00061067607 0.007076658 0.0022271716 0.0008262088 0.00075436453 0.00043106545 0.0028737697 0.0005747539 0.0003232991 0.0057475395 0.0019397945 0.0012213521 0.0005029097 0.00035922122 0.0027660034 0.0034126015 0.00039514332 0.0028019254 0.0050650192 0.0034485236 0.00039514332 0.0008621309 0.03322796 0.0064659817 0.00118543 0.00118543 0.015769811 0.0033048352 0.0021553272 0.0016164954 0.0016883396 0.0006465982 0.0005029097 0.00043106545 0.006861125 0.0011135858 0.00043106545 0.0015087291 0.013075652 0.005963072 0.0025504706 0.0036999783 0.0034844456 0.0030533802 0.004813564 0.0034485236 0.0016524176 0.00039514332 0.00010776636 0.003843667 0.0030533802 0.002658237 0.0049931747 0.0042028883 0.00096989726 0.00061067607 0.00021553272 0.0003232991 0.001796106 0.00079028663 0.0022630936 0.0005747539 0.010525181 0.0005029097 0.007938788 0.00028737696 0.001796106 0.0003232991 0.0005388318 0.00046698758 0.0011135858 0.00014368848 0.00093397516 0.00079028663 0.012788275 0.0072203465 0.0014728069 0.00118543 0.0011135858 0.00035922122 0.00035922122 0.0003232991 0.00542424 0.00096989726 0.0010058194 0.0005029097 0.0031611465 0.0026223147 0.00014368848 0.030102737 0.0033048352 0.008513543 0.00039514332 0.00046698758 0.0016524176 0.008441699 0.002694159 0.04339392 0.0015446512 0.009411596 7.184424e-05 0.00043106545 0.0008262088 0.00017961061 0.00014368848 7.184424e-05 0.00071844243 7.184424e-05 0.00014368848 0.00025145485 0.0005747539 0.00014368848 0.0 0.00021553272 0.0008621309 7.184424e-05 0.00017961061 0.00010776636 0.0014368849 0.004705798 3.592212e-05 0.0014728069 0.0021912493 0.0022630936 0.00014368848 7.184424e-05 0.0022630936 0.00021553272 0.0003232991 0.00043106545 0.00043106545 0.00028737696 0.0039873556 0.00017961061 0.00075436453 0.00010776636 0.00017961061 0.00028737696 0.0005029097 3.592212e-05 0.00014368848 0.00010776636 0.0020116388 0.0043824986 0.00028737696 0.00039514332 0.0018679503 0.0011495078 0.0010776636 0.0011495078 0.012608664 0.004526187 0.0012931963 0.008369854 0.017314462 0.0006825203 0.0036281343 0.004454343 0.0037359006 0.0013650405 0.0025145484 0.0006465982 0.036317263 0.00017961061 0.00093397516 0.00021553272 0.012860119 0.0045621092 0.0015087291 0.000898053 0.0008262088 0.00061067607 0.0015446512 0.0005747539 0.0018679503 0.000898053 0.0005029097 0.0013291185 0.0010058194 0.00039514332 0.0010417415 0.005388318 0.001796106 0.0024786263 0.0017242618 0.0003232991 0.0013650405 0.0006465982 0.00021553272 0.00025145485 0.01778145 0.0036640563 0.00021553272 0.0037718227 0.0018679503 0.0011495078 0.00017961061 0.00039514332 0.001796106 0.00046698758 0.003951433 0.0048494865 0.00021553272 0.00079028663 0.0034126015 0.007902866 0.0022990156 0.0025145484 0.0006465982 0.0015446512 0.00118543 0.00096989726 0.0019757166 0.04712982 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022198018 0.00061974156 0.00061974156 0.0006385216 0.0025165265 0.00095778244 0.0020658053 0.0006573017 0.0016714243 0.00020658053 0.0009953425 0.0002629207 0.0017841046 0.0014836238 0.0012582632 0.0005258414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09812575 0.01616962 0.024263822 0.01151217 0.027775692 0.024658203 0.009784405 0.01560622 0.04745718 0.0018216646 0.0057279146 0.0062725362 0.04321289 0.008601262 0.017503005 0.026123047 0.115422174 0.029710036 0.038423978 0.021484375 0.049598105 0.036132812 0.018122746 0.020150991 0.07004958 0.0026855469 0.014272837 0.008094201 0.056321364 0.026949368 0.019981971 0.04952299 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82.0 6.0487804 496.0 0.044354837 0.004032258 0.002016129 0.0 0.116935484 0.002016129 0.012096774 0.0 0.026209677 0.002016129 0.006048387 0.004032258 0.008064516 0.002016129 0.014112903 0.002016129 0.01814516 0.0 0.004032258 0.004032258 0.0 0.004032258 0.0 0.002016129 0.010080645 0.032258064 0.002016129 0.010080645 0.016129032 0.0 0.0 0.002016129 0.004032258 0.002016129 0.002016129 0.004032258 0.048387095 0.002016129 0.006048387 0.006048387 0.004032258 0.002016129 0.002016129 0.0 0.028225806 0.0 0.0 0.004032258 0.07258064 0.04637097 0.022177419 0.024193548 0.022177419 0.028225806 0.026209677 0.022177419 0.008064516 0.0 0.0 0.002016129 0.006048387 0.002016129 0.002016129 0.002016129 0.004032258 0.016129032 0.002016129 0.008064516 0.010080645 0.008064516 0.002016129 0.004032258 0.02016129 0.006048387 0.024193548 0.0 0.004032258 0.004032258 0.010080645 0.010080645 0.006048387 0.0 0.010080645 0.012096774 0.032258064 0.016129032 0.016129032 0.002016129 0.006048387 0.002016129 0.0 0.002016129 0.010080645 0.0 0.0 0.0 5.425853 0.0 0.0 0.0 1.0 27838.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 935547400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 20.0 4.0 0.0 4.0 0.0 43520.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43520.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3893294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1107.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43167.0 -1548.0 0.0 0.0 0.0 0.0 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 40.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 2872.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 69912.0 0.0 0.0 0.0 0.0