Input: 0.21323757 0.0063862046 0.0035593132 0.0052790055 0.005548845 0.0027112458 0.0028461658 0.004582991 0.004891379 0.0024135658 0.0025120785 0.0018374794 0.0031095806 0.002334327 0.0023942913 0.005741588 0.0038998253 0.0045722825 0.0025206448 0.0019616913 0.0026555648 0.002308628 0.0016811438 0.0017196923 0.0030282005 0.0025591934 0.002494946 0.0021158855 0.002839741 0.0040732934 0.0022015488 0.0030881648 0.004786441 0.0016575863 0.0021008942 0.0028247498 0.0035121986 0.0024863796 0.0016318873 0.0024114242 0.0024756717 0.002422132 0.0029746608 0.002030222 0.0027091042 0.0021415844 0.0018160637 0.0024264152 0.003411544 0.002494946 0.0024028576 0.0026362904 0.0030753152 0.0027605023 0.001634029 0.0017689487 0.0027283786 0.002736945 0.0026919716 0.002612733 0.0029211212 0.002524928 0.0019723992 0.0032016686 0.006647478 0.0030003597 0.002417849 0.0025163617 0.0037884628 0.0119307665 0.0052276077 0.0030389084 0.0030239173 0.00364926 0.0024863796 0.0025270695 0.0032894737 0.004662229 0.0024264152 0.0042189215 0.009195964 0.0030346252 0.002978944 0.003572163 0.0033387302 0.0036663925 0.0031417042 0.0026919716 0.0024906627 0.0023150528 0.0021051774 0.0022550884 0.0024157073 0.0024735301 0.0018588953 0.0031931023 0.0033044647 0.0043923897 0.0028076172 0.0030881648 0.004385965 0.0049599097 0.002304345 0.0024970875 0.00412255 0.0046408135 0.0038312946 0.0022336727 0.0046493798 0.0035957203 0.0030239173 0.0040518777 0.004767167 0.0025056538 0.0041118423 0.00364926 0.004574424 0.0040069045 0.0024456894 0.007159317 0.0035978619 0.0025313527 0.0020623459 0.0019060101 0.0019231428 0.0032958984 0.0016618695 0.0042403373 0.009266635 0.0021522923 0.0023300438 0.0035314728 0.001751816 0.0025806092 0.002287212 0.002158717 0.013560513 0.0048421226 0.002319336 0.0045230263 0.0027198123 0.0062127365 0.0031781113 0.0037713302 0.0037027996 0.0027840598 0.0031781113 0.00225723 0.0020944695 0.0026341488 0.0026812637 0.001711126 0.0021373013 0.0027969093 0.0025570518 0.0012506853 0.0025549103 0.002462822 0.0027712102 0.0029511033 0.0027433697 0.0021929825 0.002349318 0.0021929825 0.0028119003 0.0029146965 0.0027497944 0.0027926262 0.0033408718 0.0028483074 0.0032295093 0.00225723 0.0024778133 0.002092328 0.0023900082 0.0021265934 0.0026941132 0.0020216557 0.0020687706 0.0016811438 0.0023578845 0.0021373013 0.0025484855 0.0023814419 0.0029768024 0.0020280804 0.001953125 0.002030222 0.0017475329 0.00147341 0.0021351597 0.0020644874 0.004236054 0.0019252844 0.0017025596 0.0022765042 0.0025313527 0.0014305784 0.0027112458 0.004103276 0.002978944 0.0024499726 0.0019938152 0.0017732319 0.0021094608 0.0013342071 0.0025077953 0.0026063083 0.0023407517 0.0021265934 0.0023171944 0.0027326618 0.0030646073 0.0023793003 0.0017453913 0.0021094608 0.002287212 0.0015290913 0.0020280804 0.0031823944 0.002901847 0.0015804893 0.0014370031 0.002308628 0.0031117222 0.0017346834 0.00182463 0.0032145183 0.002576326 0.0018096388 0.0013898883 0.0030496162 0.005096971 0.0028740063 0.0026362904 0.002195124 0.0026555648 0.0023321854 0.001813922 0.0021158855 0.0047286185 0.0020837616 0.001674719 0.0017925062 0.0025699013 0.0020623459 0.002066629 0.0018845943 0.0032659164 0.0043152925 0.0025077953 0.0023471764 0.0029361122 0.0019809655 0.0026855469 0.039409436 0.015384615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0050534424 3.219437e-05 3.219437e-05 6.4388737e-06 2.468235e-05 1.2877747e-05 3.434066e-05 3.219437e-05 0.0001244849 5.0437844e-05 2.3609204e-05 1.0731456e-05 2.3609204e-05 5.365728e-06 4.2925826e-06 0.0011225103 0.006972227 0.00010302198 3.970639e-05 2.468235e-05 0.00026935956 2.2536058e-05 5.365728e-05 6.5461885e-05 8.799794e-05 4.2925826e-06 1.0731456e-05 1.717033e-05 2.7901786e-05 1.3950893e-05 3.8633243e-05 0.0010398781 0.027950076 0.00038633242 0.0002468235 0.00030262707 0.00069969095 0.00028116416 0.00048291552 0.00060740043 0.0006696429 3.970639e-05 2.7901786e-05 0.00016097185 0.00023179945 0.00010194883 0.0001717033 0.007199734 0.040241886 0.0012566535 0.00070720294 0.00065247255 0.0034694797 0.0007415436 0.00088856457 0.0010463169 0.0028180804 0.00058915693 0.00015667926 0.00028116416 0.0003927713 0.00021033654 0.00047862294 0.0076075294 0.032127835 0.0010012449 0.00065783825 0.00065032626 0.003020905 0.00056125515 0.0008821257 0.0013510903 0.008567994 0.0005623283 0.0001953125 0.00029296876 0.00044535543 0.00018672734 0.00025970125 0.0063798507 0.028251631 0.0011310955 0.0012319712 0.00047862294 0.0028062759 0.000788762 0.0012330443 0.003993175 0.0034759187 0.0005033053 0.00016848386 0.00051618303 0.0007866157 0.00015131354 0.00056340144 0.0044696513 0.023897879 0.0016472786 0.0012051425 0.000788762 0.0029296875 0.0010881696 0.003861178 0.0034458705 0.0023018974 0.0005365728 0.00023394574 0.00033911402 0.00060525414 0.00015453297 0.0004539406 0.0048624226 0.029054344 0.003362165 0.0021334135 0.0015421102 0.004199219 0.0017535199 0.008640968 0.0052283653 0.002107658 0.00029296876 0.00036057693 0.0005022322 0.00057949865 0.0002189217 0.0004657452 0.003294557 0.005887277 0.00045072116 0.00053442654 0.00042711195 0.001193338 0.00030262707 0.0013339199 0.0006138393 0.00035628435 0.00016204499 0.00019101992 0.00019960509 0.00032730942 0.00020282452 0.0002328726 0.0007715917 0.0039770775 0.00034877233 0.00039706388 0.00047003778 0.0009540264 0.00065247255 0.0016837654 0.00086710165 0.00019638565 0.00029189562 0.00027794472 0.00021999485 0.00016204499 0.00014272837 0.000106241416 0.00024145776 0.0056114784 0.00058486435 0.00050867104 0.0005902301 0.0024349673 0.0021065848 0.0016848386 0.0009701236 0.0037678143 0.00065783825 0.00079198147 0.00087461364 0.0014959649 0.00068144745 0.0012931405 0.00451687 0.012087912 0.001953125 0.0010420243 0.0014090402 0.00706881 0.007804988 0.0044836025 0.0028094952 0.010692823 0.0021570227 0.002145218 0.0016869849 0.003346068 0.001945613 0.005247682 0.008844866 0.032073103 0.03147858 0.031687845 0.034278415 0.035861306 0.034674406 0.032657966 0.033440292 0.032063443 0.034692653 0.036955915 0.02924429 0.030314216 0.032131054 0.031200636 0.028125 2932.0 8.026262 23533.0 0.021161772 0.0019122084 0.009136107 0.0047592744 0.0047592744 0.003909404 0.005481664 0.0034844687 0.0031445206 0.0040793777 0.0047167805 0.0036544427 0.0045893 0.0045893 0.0050992225 0.0066289892 0.008031275 0.00688395 0.0058641057 0.005566651 0.0068414565 0.005396677 0.0023796372 0.0029745463 0.0035694556 0.003356988 0.0061615603 0.003356988 0.004334339 0.0038669102 0.001954702 0.004801768 0.0059915865 0.011515744 0.0046317936 0.009136107 0.015977563 0.010155952 0.012620576 0.007351379 0.0040368843 0.010963328 0.0033994815 0.0066714827 0.012833043 0.017549824 0.004886755 0.010750861 0.010368419 0.0049292482 0.011388264 0.014617771 0.00905112 0.008031275 0.00603408 0.00531169 0.0039518974 0.0064165215 0.0033994815 0.0034844687 0.004121871 0.0042068586 0.00229465 0.016699953 0.008626184 0.047422767 0.02039689 0.010538393 0.02052437 0.039518975 0.0071814046 0.007521353 0.0073938724 0.035142142 0.0064165215 0.011303276 0.0334424 0.021331746 0.018314706 0.019334551 0.016402498 0.0032295075 0.03153019 0.022224111 0.032804996 0.011770705 0.007861301 0.08417966 0.011430757 0.011175795 0.0037394296 0.0029745463 0.0026345982 0.0052691964 0.0023371435 0.006798963 6.023922 0.0 0.0 0.0 4.0 466944.0 503808.0 0.0 0.0 80.0 0.0 1.0 0.0 0.0 0.0 1087422100.0 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 6.0 0.0 4.0 0.0 4.0 0.0 450560.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -450560.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.946228 0.0 5.335483 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -448120.0 0.0 8136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 450452.0 8136.0 495616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 356.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.24225363 0.016397685 0.007031383 0.0069026765 0.005738546 0.0042433287 0.0018768995 0.0026376008 0.0043351986 0.0016545475 0.0014779086 0.0014819029 0.0034018527 0.0014148867 0.0015391553 0.004174981 0.0035425425 0.001331893 0.0012284837 0.0012657644 0.0033126455 0.002811577 0.0012741969 0.0012537813 0.0025901124 0.0009981431 0.0009337897 0.0012142817 0.0018240854 0.0009297953 0.0008743183 0.0020562015 0.004208711 0.0036472832 0.00093600876 0.00075138116 0.0028009252 0.0071410057 0.0005552143 0.0006586235 0.0016168231 0.0010944512 0.0006595112 0.00080375146 0.0014060104 0.0031005014 0.00529828 0.000795319 0.0065911175 0.004545124 0.004036954 0.0049445583 0.0040919874 0.003057895 0.0029575925 0.002938952 0.0041976157 0.0034009651 0.002238166 0.003364572 0.002760982 0.0023486763 0.0022559187 0.0021884586 0.003403184 0.006554724 0.0041057453 0.004610365 0.0042828284 0.00921851 0.0031830512 0.0014978803 0.0026895273 0.007272819 0.0008827508 0.0011991919 0.003836349 0.0036628167 0.0038527702 0.0041248295 0.009084034 0.0018267483 0.003548756 0.0072586173 0.0051930957 0.0038936012 0.002903003 0.0027179315 0.002252812 0.0015897503 0.0011880965 0.00092446955 0.009587766 0.027061261 0.0012817418 0.004302356 0.0015888627 0.011632428 0.0025306412 0.0057372143 0.0052565616 0.022727838 0.0061259978 0.0048003183 0.0043711476 0.015157661 0.0031679615 0.0027037296 0.010003177 0.0050661643 0.0132852 0.015838033 0.0094830245 0.00072208926 0.015109286 0.011456677 0.019935789 0.006947502 0.0022905364 0.0038470004 0.0031750626 0.0027188193 0.00096130633 0.0009484356 0.0012404668 0.0016456712 0.001029654 0.0010039127 0.0031076025 0.0011468215 0.00064619665 0.0034559984 0.002296306 0.0047492795 0.0007207578 0.00059071963 0.0020428868 0.0036570472 0.0008197289 0.01278635 0.0016443398 0.0036126655 0.0005640906 0.00049174856 0.0016354634 0.0005370178 0.0006386518 0.00053169206 0.0010993332 0.0006883592 0.00049086096 0.00047488353 0.0015728853 0.00053435494 0.00052459096 0.00049840583 0.0012271523 0.00058406236 0.0005170461 0.0005201528 0.0016181546 0.00071720727 0.000686584 0.00083792536 0.0010931197 0.0006635055 0.00059693307 0.0005143832 0.0015502507 0.00054234365 0.000536574 0.0005170461 0.0011841021 0.00051527086 0.0004961867 0.00051527086 0.0017038111 0.0005396807 0.0015826493 0.00058495003 0.0011690124 0.0007633642 0.0006444214 0.00078067306 0.0018218663 0.0010935636 0.0007389543 0.0006062532 0.0012400231 0.0006204553 0.0007877741 0.00068392104 0.0040666894 0.0010846873 0.0013926958 0.0011894279 0.0014353022 0.00059959595 0.001181883 0.0014268697 0.0019816402 0.0011756696 0.00065995497 0.00073185324 0.0053320103 0.001172119 0.0012866238 0.0008614476 0.0017805913 0.0012844047 0.002037561 0.0024232375 0.00277474 0.0013749432 0.0016385701 0.00228166 0.002937177 0.0015151892 0.0011774449 0.0022883173 0.0015200712 0.00044248495 0.0012941686 0.0013545277 0.003616216 0.005126967 0.0014211001 0.0006049217 0.00147924 0.0010980017 0.0007314094 0.0006058094 0.004828722 0.0021360882 0.0032469607 0.0017375412 0.002421906 0.00075715076 0.00050018105 0.0007109939 0.0023113957 0.00071853877 0.0005951578 0.0005924949 0.0017823667 0.0005090574 0.0013838195 0.00095553667 0.0026553534 0.0008468017 0.0007314094 0.0008831946 0.003140001 0.0019079667 0.001711356 0.025298422 0.00088019413 0.0 7.3275496e-06 7.3275496e-06 0.0 0.0 7.3275496e-06 0.0 0.0 7.3275496e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.013377884 0.00021427531 2.5313353e-05 4.662986e-05 3.0864525e-05 4.0412546e-05 4.0634593e-05 2.6867681e-05 6.794637e-05 3.9080263e-05 2.9310198e-05 3.1530668e-05 3.286295e-05 2.908815e-05 3.863617e-05 2.5979494e-05 0.0410909 0.0010009877 0.00013988958 0.00014033368 0.0001347825 0.00012590062 0.00019651155 0.0001900722 0.00020872413 0.00013056361 0.00012812109 0.00012723291 0.0001318959 0.00012634472 0.00012745496 0.00011124552 0.0056539816 0.00020783595 3.8858216e-05 3.3751137e-05 2.5757447e-05 3.508342e-05 6.8612506e-05 3.3307042e-05 3.8858216e-05 2.1982649e-05 2.8644057e-05 3.0420433e-05 2.842201e-05 3.0420433e-05 3.2640903e-05 5.7954254e-05 0.0029467852 7.1943214e-05 4.662986e-05 2.0872414e-05 7.038889e-05 6.328338e-05 0.00021272099 9.1261296e-05 1.8429897e-05 9.548019e-06 1.1990535e-05 9.992113e-06 8.881878e-06 1.0658254e-05 1.0658254e-05 3.3973185e-05 0.010860095 8.548808e-05 0.00019828793 3.574956e-05 0.00011590851 0.00013744706 0.0035287703 0.0018591991 1.6653521e-05 1.35448645e-05 1.8651945e-05 1.4211005e-05 1.6431475e-05 0.0001059164 1.532124e-05 0.00025890674 0.07779082 0.00042388763 0.004781337 0.0011148978 0.0041067586 0.0038200957 0.024388306 0.011090135 0.00029154765 0.00031952557 0.00028555238 0.0002913256 0.00028910514 0.0016142813 0.00046318994 0.00035261057 0.032209244 0.0021594067 0.001352266 0.002449178 0.0020774712 0.002600614 0.004138511 0.0023665763 0.00037303887 0.00030287204 0.0003144185 0.00032196808 0.0003486137 0.0018747424 0.00067369046 0.0010076491 0.015429155 0.0007953722 0.004187139 0.0028874986 0.008627856 0.0076439665 0.029613735 0.017157568 0.00016808954 0.00016053994 0.00017008797 0.000108803004 0.00014677303 0.00026845478 0.00059508585 0.0016260499 0.01277969 0.00032041376 0.008015007 0.0070340033 0.02701734 0.02380521 0.047720555 0.026356751 0.00010191955 9.525814e-05 8.171328e-05 8.548808e-05 9.5702235e-05 0.00012789904 0.0003177492 0.00020628162 0.0047979904 0.0005604465 0.001432647 0.0018887314 0.0013134077 0.0019786605 0.004497339 0.0027895758 0.00025646423 0.00011368804 0.00012789904 0.00011413213 0.00017075411 0.00034128616 0.0004412073 0.0005491221 0.0070966207 0.002454063 0.0022637686 0.02714302 0.0021116666 0.004143618 0.002827768 0.0023925558 0.0020217374 0.0018576448 0.0019215944 0.0020015312 0.0019950918 0.003632466 0.0024391857 0.0028199963 0.03837482 0.0073193335 0.0034910222 0.0026783303 0.002832653 0.016531173 0.0031721627 0.0036664393 0.004402747 0.0027229618 0.002804453 0.003409753 0.0034799199 0.011178954 0.0076341964 0.008174659 0.020765165 0.00390736 0.0028672924 0.0028357615 0.004247536 0.009393918 0.002317282 0.00470895 0.01423321 0.0010607183 0.0011442079 0.0023055135 0.00755648 0.0024567274 0.0070237895 0.013676316 0.01813946 0.0044467123 0.003225232 0.004117861 0.0051648123 0.010972228 0.0037610312 0.0063680843 0.015951186 0.0010975781 0.0013695856 0.0024152047 0.007964158 0.0029825347 0.007816719 0.013802882 0.004331914 0.0034632664 0.0033895466 0.0034794759 0.0065170783 0.0033515766 0.0035296583 0.0034341782 0.0041826987 0.0041120877 0.004128741 0.0040883287 0.0033071672 0.003348468 0.0033982066 0.00332915 14848.0 37.700294 559774.0 0.0076816715 0.011524294 0.0001321962 0.0002590331 0.0013469722 0.0260891 0.00019472145 0.00014827412 0.0020776242 0.00026081954 0.00013755551 0.00013040977 0.001309457 0.0074530076 0.0019204179 0.0008860719 0.017092612 0.01160647 0.009332337 0.0069474466 0.008707086 0.006386506 0.00607388 0.006032792 0.008846427 0.006620529 0.0029583368 0.0031155432 0.0037175717 0.0029726282 0.0028600828 0.002818995 0.002384891 0.020449324 0.0121424 0.014012798 0.01016303 0.020951312 0.007315452 0.001932923 0.0050841947 0.024658166 0.0002983347 0.0012308538 0.008857146 0.0055540274 0.009843258 0.012349627 0.022578755 0.0011397457 0.009153694 0.021756995 0.01463805 0.0045125354 0.0042713666 0.004149889 0.0043624747 0.0024063282 0.002302715 0.00024116876 0.034276333 0.00023580945 0.0002429552 0.010589988 0.0020418954 0.025456702 0.004959144 0.01458803 0.012731924 0.07546796 0.016515594 0.011819055 0.006402584 0.04497172 0.0007252927 0.0027118088 0.029708417 0.009048294 0.040178716 0.045366522 0.026339201 0.0002233044 0.046338342 0.03166635 0.054791756 0.0063472046 0.004535759 0.010255924 0.0047179754 0.005430763 0.00039837506 0.0016238696 0.0009736072 0.0016595983 0.00014112839 0.00013576908 5.664061 2.0 50.0 0.0 33.0 2253184.0 2260992.0 1.0 40.0 300.0 1.0 1.0 1.0 1.0 0.0 112653520.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 12.0 10.0 0.0 10.0 0.0 2077696.0 1024.0 4096.0 7.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -116736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 -2077696.0 -11264.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1948676 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7733746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.14645 -5.3100476 -0.6979326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -116676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32520.0 0.0 168.0 0.0 0.0 0.0 0.0 0.0 0.0 -2077448.0 -11246.0 912.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -2.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 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 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 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 1.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 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 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 4808.0 2076736.0 1020.0 2119036.0 1336.0 2138112.0 0.0 0.0 28544.0 2224640.0 116676.0 2142208.0 84.0 561600.0 0.0 0.0 0.0 0.0 24.0 482556.0 160.0 342736.0 0.0 0.0 1400.0 2117632.0 704.0 2073304.0 0.0 0.0


Input: 0.026627842 0.0041086082 0.0043093264 0.0047694715 0.0041971686 0.0037002068 0.0033877576 0.0032454638 0.006194257 0.0037046135 0.005168491 0.0034170407 0.0038926802 0.003512851 0.0032323857 0.0034120653 0.003430403 0.003570138 0.003768724 0.0035837847 0.0046055703 0.0038302755 0.0034649458 0.003408085 0.0036747616 0.0039144293 0.0035498103 0.0034777394 0.0035358795 0.0034842785 0.003505459 0.0034120653 0.003025555 0.0034768865 0.0034729063 0.0034778817 0.004209536 0.0036127835 0.0035647363 0.0034413487 0.003479161 0.0035321836 0.0037239462 0.0034609656 0.0035540748 0.0035829316 0.004895986 0.008482756 0.0035380118 0.003825158 0.0037987179 0.0037623271 0.0036886926 0.0036214548 0.0034947977 0.003455706 0.0036248665 0.0034768865 0.0035341736 0.0034511571 0.0036881238 0.0035529376 0.0037039027 0.0032275526 0.0030492945 0.003669502 0.0035933089 0.003900925 0.0039316295 0.0037678708 0.0036662326 0.003611504 0.003537301 0.0038439222 0.0036082347 0.005087038 0.004743742 0.00429966 0.0036935257 0.0036722028 0.0054129916 0.003540997 0.0037451268 0.0040365374 0.0040278663 0.0038230259 0.00361321 0.0035361638 0.0035405706 0.0033546363 0.0037731305 0.0035209535 0.0036032593 0.003507307 0.0033968552 0.003198838 0.003180074 0.009337371 0.0043964656 0.006879286 0.0055785985 0.009840162 0.0041323476 0.004432714 0.0042726514 0.007576255 0.0036036859 0.0038878468 0.008200869 0.0057614055 0.0068349345 0.00787719 0.005366366 0.0036930991 0.008005837 0.008502799 0.0076901186 0.00464452 0.004101643 0.0034864107 0.004366187 0.0036275673 0.003356342 0.0033671455 0.0036665169 0.0033098585 0.0033782334 0.0030895234 0.0028734528 0.004608271 0.003521238 0.0032848397 0.003666659 0.0034778817 0.004148837 0.0033745375 0.0034248591 0.0036353855 0.0036677963 0.0035053168 0.0036015536 0.0035849218 0.0036764673 0.0034935183 0.0032312486 0.00341633 0.0035296248 0.0035572022 0.0034551374 0.0034753229 0.0036790262 0.0034141976 0.0033876153 0.003529767 0.0037273578 0.003625435 0.003517684 0.0035311885 0.0035765348 0.003260674 0.0031017484 0.0036279939 0.0034352362 0.0035097236 0.0042409515 0.0035640255 0.0036683648 0.0034232954 0.0033523617 0.0034582647 0.003369562 0.0033779491 0.003351651 0.0035246494 0.003653439 0.0033172504 0.0034177515 0.0034837099 0.0033513666 0.0034512994 0.0037290636 0.0034856999 0.0035917452 0.0033480972 0.003725652 0.0033299017 0.0034544265 0.0034683575 0.0035384381 0.0032302535 0.0033596114 0.0030721808 0.0032272683 0.0035077336 0.003660973 0.0039360365 0.0035222329 0.0036041122 0.003645052 0.0037091624 0.003227837 0.0034925232 0.0034355205 0.0035435557 0.0034578382 0.0034392164 0.0034727643 0.0034766023 0.003386194 0.0034514414 0.003570138 0.0037148483 0.0034468926 0.0032854083 0.0032986284 0.0033765275 0.0033627388 0.0033743952 0.0034370841 0.0035291985 0.0036137786 0.003521238 0.003406237 0.003295501 0.0035934509 0.0038369566 0.0036767519 0.0037104418 0.003171687 0.0032183127 0.0032215822 0.0034842785 0.0034747543 0.0034439075 0.0031008956 0.0032834182 0.0033446855 0.0034302608 0.0034137713 0.00335819 0.0037816598 0.0037343232 0.0031142577 0.0032059455 0.00338065 0.0030568286 0.0031429725 0.0033654396 0.0037580624 0.0030827 0.003126625 0.0031955685 0.0032498704 0.003007644 0.003157614 0.0036878395 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00011218809 6.327465e-06 2.1328535e-07 7.1095116e-08 7.1095116e-08 0.0 1.4219023e-07 4.265707e-07 1.3365881e-05 2.1328535e-07 0.0 2.1328535e-07 7.1095116e-08 8.175938e-06 2.1328535e-07 3.9102315e-06 0.00010650048 8.815794e-06 3.9102315e-06 1.2086169e-06 3.05709e-06 4.194612e-06 9.242365e-06 3.768041e-06 2.4172339e-06 3.5547558e-07 5.687609e-07 2.1328535e-07 2.8438046e-07 3.5547558e-07 2.8438046e-07 4.265707e-07 0.00010145273 1.1375218e-06 1.0664268e-06 7.8204624e-07 5.687609e-07 5.687609e-07 4.692278e-06 5.1899433e-06 1.5072164e-05 3.5547558e-07 6.39856e-07 4.265707e-07 1.848473e-06 3.5547558e-07 1.4219023e-06 1.00244115e-05 7.934215e-05 4.976658e-07 2.1328535e-07 2.8438046e-07 3.5547558e-07 3.5547558e-07 6.39856e-07 8.531414e-07 2.8438046e-06 2.0617583e-06 3.696946e-06 1.848473e-06 1.848473e-06 9.100175e-06 5.9719896e-06 3.5689747e-05 0.0005880277 2.7656e-05 3.9244504e-05 1.1801789e-05 3.8178077e-05 2.7727096e-05 0.0001528545 9.0432986e-05 7.5574106e-05 1.1161933e-05 3.3699085e-05 6.6829407e-06 4.22305e-05 6.533641e-05 3.8675742e-05 0.00020674459 0.008020596 0.0006301871 0.001668318 0.00041739942 0.0013746241 0.00086394785 0.009487785 0.004072328 0.0005662726 0.00019949289 0.0004262152 0.00027577794 0.00016686023 0.00014503404 0.00018179021 0.00018712234 0.012787167 0.0009904972 0.0026051383 0.00072808506 0.0019316543 0.0013038844 0.0107685635 0.0057092933 0.00090006413 0.00038298938 0.0008671471 0.00039038327 0.0003480817 0.00034815277 0.00035924363 0.00049403997 7.8631194e-05 5.118848e-06 1.2299455e-05 9.242365e-06 1.3436977e-05 1.1161933e-05 3.2845943e-05 2.0688678e-05 1.3223691e-05 1.3650262e-05 1.3934643e-05 1.0735363e-05 1.7844874e-05 5.9506612e-05 3.8462458e-05 8.602509e-05 0.00086053525 0.000102092585 0.00023255212 9.917768e-05 0.00017240565 0.00012761573 0.00014069723 0.0001804394 0.00040140303 7.4294396e-05 6.5123124e-05 0.000109131004 0.00013074392 6.9104455e-05 0.00017425412 0.0002636918 0.00028395388 5.4672142e-05 9.2210365e-05 6.796693e-05 9.363227e-05 6.924664e-05 0.00012832668 0.000109913046 9.839564e-05 6.967321e-05 5.8297996e-05 6.135509e-05 7.5076445e-05 7.329907e-05 0.00011048181 0.00015512954 0.06375177 0.05639755 0.05833916 0.056121703 0.05805741 0.05723164 0.07504338 0.06345701 0.05546848 0.055171017 0.054515876 0.0541941 0.05558678 0.054302234 0.0538655 0.05161811 40630.0 16.504997 670598.0 0.0027840822 0.0026483824 0.002448561 0.0025261035 0.007673748 0.0025738222 0.002675224 0.0025991728 0.002609611 0.0028601338 0.002752767 0.0026394352 0.002730399 0.0028124151 0.016949052 0.05483613 0.0027139955 0.004278271 0.0035102998 0.0031762696 0.0031881991 0.0029481149 0.0028332921 0.00273189 0.0026677682 0.0027080306 0.0027989943 0.0027721527 0.0025782958 0.0025902255 0.0025111914 0.0022383006 0.002166723 0.00487028 0.004306604 0.006207892 0.0070250733 0.0047017736 0.004633178 0.0039934507 0.0032925836 0.004883701 0.0032582858 0.011175101 0.005606936 0.008125584 0.0036281052 0.0046346695 0.01588582 0.0027870648 0.0048568593 0.0073605943 0.006524028 0.0037265248 0.003338811 0.0033447759 0.0029302204 0.0026334703 0.0029391677 0.0029361853 0.0027661878 0.0027408372 0.0024828585 0.0024694377 0.002414263 0.061986465 0.012453064 0.037239898 0.025137266 0.067644104 0.0075335745 0.012957092 0.0110006295 0.043358315 0.005050716 0.0063421004 0.046334762 0.025818747 0.03681192 0.050501194 0.021482319 0.0030942531 0.05238757 0.05454982 0.04631687 0.015923101 0.009218638 0.0036176667 0.00781243 0.0054324646 0.003071885 0.0024127718 0.0024798762 0.0027154868 0.0022949665 0.0020086549 5.5705786 2.0 1.0 5.0 119.0 7034742.0 163840.0 0.0 0.0 88.0 0.0 1.0 0.0 0.0 0.0 1541941400.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 22.0 4.0 0.0 4.0 0.0 19968.0 1024.0 4096.0 6.0 1.0 0.0 1.0 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 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19968.0 -3072.0 87040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.462655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.875394 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0830464 -5.0181985 7.4949713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36400.0 0.0 0.0 -64.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19680.0 -2728.0 86664.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2728.0 69632.0 86664.0 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 0.0 0.0 0.0 0.0 0.0 0.0 392.0 70144.0 0.0 0.0 0.0 0.0


Input: 0.12239085 0.0028183132 0.0012685804 0.0012101769 0.0019327516 0.0007782619 0.0007741872 0.0007673961 0.00217859 0.0006424396 0.00063021557 0.0005921853 0.0015429416 0.00060984225 0.00044957187 0.0018865721 0.0015755389 0.00048760214 0.0004088252 0.00051748304 0.0008054264 0.0006723205 0.00048216924 0.00035313805 0.0006940521 0.00047130347 0.0003626456 0.00040610874 0.00068726094 0.0030682262 0.0003626456 0.0004726617 0.001150415 0.00046451236 0.0003966012 0.0005745284 0.0008665464 0.00045093012 0.00039931762 0.00050933374 0.0005908271 0.0004848857 0.0003911683 0.00062885735 0.00054057286 0.0011789377 0.00041969097 0.00029880911 0.00094396516 0.0006370067 0.00087062106 0.001648883 0.00073887344 0.0007945606 0.00061120046 0.00051748304 0.00080270995 0.0007755455 0.00061799155 0.0011422657 0.0004740199 0.0007660379 0.00044821366 0.0008190086 0.0008556806 0.00071035075 0.00057724485 0.00066281296 0.0007062761 0.0020604245 0.0009303829 0.00058946887 0.0005731702 0.0005432893 0.00037079494 0.00033412292 0.0005731702 0.0010512648 0.00060984225 0.00035992917 0.0015130606 0.0007524557 0.000468587 0.0008067846 0.0004848857 0.0010594141 0.0010213839 0.0009181589 0.00055958796 0.0011898036 0.00042240744 0.0005446475 0.0005134084 0.0011354747 0.00092766644 0.0007470228 0.0008461731 0.0008950691 0.0005215577 0.00067639514 0.00065738003 0.0012441325 0.0013256259 0.00038981007 0.00081085926 0.0007646797 0.0011055938 0.00047130347 0.00079184416 0.000584036 0.0007538139 0.0008230833 0.000785053 0.0004387061 0.0009453234 0.0008556806 0.002488265 0.0025344444 0.00061799155 0.00045093012 0.0005337817 0.0005378564 0.00049846794 0.00033412292 0.00066281296 0.002402697 0.0004916768 0.00061934977 0.0009181589 0.00071170897 0.0003517798 0.0028359701 0.0007864112 0.0017466751 0.0006655294 0.0008461731 0.00067096227 0.0021256194 0.0006370067 0.005762941 0.00045907946 0.0016353008 0.00030560023 0.00044549722 0.0005609462 0.0004088252 0.00030152555 0.00035313805 0.0005949018 0.00041154164 0.00028251045 0.00030695845 0.00047537812 0.00035313805 0.0003911683 0.00035992917 0.00039931762 0.00037486962 0.00035992917 0.00031782425 0.0006641712 0.000584036 0.0003517798 0.0003911683 0.00040067584 0.00028930153 0.0002689282 0.00028930153 0.00048624392 0.00031510778 0.00033548113 0.0004278403 0.00041425807 0.0002865851 0.00037758605 0.00034906337 0.000645156 0.00032461536 0.0003273318 0.0004903186 0.0004943932 0.00040746696 0.0003925265 0.00057996134 0.0006139169 0.0004020341 0.00043463142 0.00033004823 0.00037486962 0.0006030511 0.00041154164 0.00040067584 0.0019300352 0.0010947279 0.0007538139 0.001356865 0.0008162922 0.00035449627 0.0008162922 0.0008448149 0.0008040682 0.00084074016 0.00040746696 0.0003504216 0.0011463404 0.00053513993 0.00045907946 0.0004903186 0.00071170897 0.00049846794 0.00052970706 0.00046451236 0.0005215577 0.00037622784 0.0004672288 0.00044685544 0.0005921853 0.000723933 0.0003449887 0.00067096227 0.0004264821 0.0006030511 0.00036943672 0.0004088252 0.00079184416 0.00048624392 0.0002865851 0.00034227225 0.0005378564 0.00053513993 0.00039388472 0.00045772124 0.0027164465 0.00092087535 0.0003979594 0.0012359831 0.0011273252 0.00042376565 0.0003911683 0.00030695845 0.0010431154 0.00042512387 0.00046043767 0.00054600573 0.0006954103 0.00037079494 0.00078776944 0.0008190086 0.001283521 0.00051748304 0.0004848857 0.00043598967 0.0013432828 0.0004726617 0.0010132345 0.6894857 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.67966574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001598135 6.120517e-06 5.4404595e-06 2.1761838e-05 6.120517e-06 6.8005747e-06 8.1606895e-06 3.4002874e-06 2.7202298e-06 3.4002874e-06 4.760402e-06 4.0803447e-05 2.9922528e-05 4.760402e-06 3.4002874e-06 0.0010853717 0.095448785 0.0017300661 0.0025026114 0.0017667892 0.0019184421 0.0021313 0.0025325338 0.0020326916 0.0017178251 0.0018796788 0.0016348581 0.0022278682 0.0017246257 0.0022584707 0.0017355066 0.002106138 0.0052126404 0.0002142181 0.0003182669 0.00013601148 0.00025842185 0.00014825253 0.00036655096 0.0002618221 0.00014621235 5.032425e-05 4.3523676e-05 4.7604022e-05 5.100431e-05 8.3647064e-05 9.860833e-05 0.0009194377 0.00087455387 7.208609e-05 2.1761838e-05 0.00012037017 8.9767585e-05 1.8361552e-05 3.2642758e-05 2.1081782e-05 1.4281207e-05 1.8361552e-05 1.8361552e-05 2.8562414e-05 1.7001435e-05 1.36011495e-05 1.1560976e-05 2.0401723e-05 0.0030827005 0.0002523013 0.00030806602 0.000119690114 0.00031894696 0.00017205454 0.0013662354 0.0010398078 8.5687236e-05 6.052511e-05 2.1761838e-05 3.128264e-05 5.2364423e-05 2.1081782e-05 1.2921091e-05 1.8361552e-05 0.0033880463 0.000615452 0.00042435585 0.00025026113 0.0002591019 0.0001407719 0.0010282468 0.0010459283 0.00022509902 0.00018021523 7.956672e-05 9.5208045e-05 8.092684e-05 6.3245345e-05 4.6923964e-05 0.0004331966 0.004392491 0.00065149507 0.000378792 0.002710029 0.0004365969 0.00038423247 0.0010030847 0.0008779542 0.0003740316 0.00039443333 0.00032982786 0.00031554667 0.0005039226 0.0003801521 0.00026114206 0.0005338451 0.001609696 0.0002142181 0.00015845339 0.00022985942 0.00014893258 0.0002475409 0.00016525396 0.00025366142 0.0010024047 0.00021489816 0.00019109614 0.00023734005 0.00034274894 0.000142132 0.00020333717 0.0016022153 0.00934535 0.0016865425 0.0010840116 0.0016253373 0.0017314262 0.0021088582 0.001349914 0.0025325338 0.0048807724 0.0005386055 0.00059845054 0.00079566723 0.0024108037 0.00082694984 0.0019871278 0.0041021067 0.0126585895 0.0039239316 0.0018810389 0.0029970133 0.0037450765 0.005150075 0.0024584078 0.0047216387 0.009439197 0.00078818656 0.0010425281 0.0011948609 0.005111312 0.002047653 0.0045380234 0.007940351 0.0037906403 0.0024529672 0.0022469098 0.0023822412 0.0025835382 0.0025386545 0.0023230764 0.002400603 0.0030269357 0.0020993373 0.0022421493 0.0021795842 0.0026658252 0.0023053947 0.0024441264 0.0027079887 565.0 10.828319 6118.0 0.033834588 0.0021248774 0.0021248774 0.0035959464 0.004413207 0.0035959464 0.0017979732 0.009807127 0.006374632 0.0024517816 0.0021248774 0.0032690421 0.0049035633 0.0031055901 0.004413207 0.0021248774 0.012585812 0.0130761685 0.01928735 0.01928735 0.016672116 0.01634521 0.011278195 0.013729977 0.016018307 0.011114744 0.0070284405 0.007355345 0.0062111802 0.010134031 0.006047728 0.010297483 0.004740111 0.008009153 0.0049035633 0.009970578 0.006374632 0.008009153 0.008009153 0.00849951 0.008009153 0.0050670155 0.002778686 0.0034324944 0.007518797 0.0053939195 0.0049035633 0.0040863026 0.02010461 0.004413207 0.0053939195 0.010787839 0.00849951 0.004576659 0.008662961 0.010624387 0.0068649887 0.004249755 0.004249755 0.0034324944 0.005884276 0.0040863026 0.0032690421 0.00849951 0.009970578 0.031382807 0.0071918927 0.025008172 0.020594966 0.058515854 0.007682249 0.00931677 0.009807127 0.025171624 0.008336058 0.0034324944 0.030075189 0.007355345 0.023373652 0.031055901 0.014056881 0.003922851 0.039882313 0.02255639 0.048381824 0.016672116 0.007355345 0.0037593986 0.009480222 0.008989866 0.0032690421 0.0017979732 0.0034324944 0.002778686 0.0022883294 0.0032690421 6.0846386 0.0 0.0 0.0 4.0 736256.0 749568.0 1.0 0.0 78.0 1.0 0.0 0.0 0.0 0.0 1536792300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15.0 0.0 5.0 1.0 5.0 1.0 84480.0 1024.0 1093632.0 4.0 0.0 0.0 1.0 1.0 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 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -616960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.699819 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4288551 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9237437 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28237.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -620376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84457.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 116404.0 0.0 0.0 0.0 0.0 0.0 0.0 5056.0 741376.0 28.0 112720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 112752.0 0.0 0.0 332.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.108914755 0.012667369 0.006679052 0.0048899353 0.008613182 0.0040114494 0.005225258 0.0032217249 0.006253872 0.0031545141 0.0041367384 0.0030767107 0.005191287 0.0030873036 0.003461345 0.00544771 0.004954954 0.0037345707 0.0039668856 0.0033579723 0.0035701972 0.0036385034 0.002972242 0.0028995522 0.0032651925 0.0029156245 0.003020093 0.002897726 0.0033404392 0.0029970808 0.003389386 0.0030000028 0.0032655578 0.003220629 0.0029817391 0.0028893247 0.0037378583 0.0028429348 0.0037517387 0.0028706957 0.0033261934 0.0028137127 0.0036436173 0.0036859892 0.0030792677 0.0043248553 0.0031168908 0.0036184133 0.0059379092 0.0041886074 0.003786805 0.0041579246 0.003769637 0.003448926 0.0036257189 0.004057474 0.003658959 0.0035851733 0.0030197278 0.0033937693 0.003212958 0.003202 0.0029799128 0.0032947797 0.003996473 0.003448926 0.0032071138 0.0038353866 0.003769637 0.0041619423 0.0034405245 0.003251312 0.0033050075 0.003240354 0.003502256 0.0028396472 0.003228665 0.0041060555 0.002993428 0.0034715729 0.0041977395 0.003309756 0.0034010748 0.0032067485 0.004569224 0.004466947 0.003546089 0.0051452625 0.0033079297 0.0029821044 0.0034354106 0.0029477687 0.0032385273 0.0033817152 0.0031735084 0.003968347 0.0030737885 0.0043252204 0.00351431 0.0039679813 0.005759655 0.0053238817 0.003988802 0.0029181812 0.0033820805 0.006141002 0.003446734 0.0029141633 0.003975287 0.0029262174 0.0054283505 0.005979185 0.004277004 0.0027706104 0.0042017573 0.005448806 0.0063977903 0.0036717434 0.003584808 0.004233171 0.0030098653 0.003406554 0.0029046661 0.0030946091 0.0029393672 0.003144652 0.0030179014 0.0030058473 0.0040819473 0.0030617344 0.0039270706 0.0040768334 0.0032655578 0.0039672507 0.0030975314 0.0029338882 0.0029653017 0.0046923216 0.0029064924 0.007461471 0.002853893 0.004066971 0.0028571803 0.0028305154 0.0030062126 0.002754173 0.003115795 0.0028893247 0.0032783423 0.0030456623 0.0028257668 0.0028893247 0.003260444 0.003101184 0.0028272278 0.0028235752 0.0029755295 0.002897726 0.003024111 0.0028816538 0.0030949744 0.0029579962 0.0028283237 0.0031844669 0.003037261 0.0027574603 0.003143556 0.0027439452 0.002834168 0.002853893 0.003028129 0.0028210182 0.0028948036 0.0028279584 0.002872522 0.0029346186 0.0029021092 0.0027735324 0.002857911 0.0028535277 0.0030628303 0.0030496803 0.00302265 0.0028688693 0.0029331576 0.0028210182 0.0028104251 0.002896265 0.0029167202 0.0029094147 0.0029254868 0.0029623797 0.0037250735 0.0035932094 0.003074519 0.0031340588 0.003711193 0.0029079537 0.0031377117 0.003279073 0.0031033757 0.0031336935 0.0029634754 0.0028151737 0.004679172 0.003272498 0.0030193625 0.0030515066 0.0030774411 0.0033981525 0.0031340588 0.002839282 0.003101184 0.0028359946 0.0029547089 0.0032319524 0.0029634754 0.0028728873 0.0029119716 0.0029141633 0.0028772706 0.0028663124 0.0029565352 0.0029229298 0.0036425216 0.0030098653 0.002914894 0.0027852212 0.0032798036 0.0031026453 0.0028984565 0.0029316966 0.0044859415 0.0029550742 0.0029905057 0.0031998083 0.0034759562 0.002836725 0.0029043008 0.0031428253 0.0033199838 0.0028400125 0.0029167202 0.0029437505 0.003366739 0.0028633901 0.002966763 0.0033605292 0.0032071138 0.0029638407 0.002952152 0.003159628 0.0034887407 0.0030960701 0.0031998083 0.0076232874 0.0011200134 3.6548e-07 0.0 0.0 7.3096e-07 0.0 9.136999e-07 1.8274e-07 1.8274e-07 0.0 0.0 0.0 0.0 1.8274e-07 1.8274e-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 0.00032929747 2.55836e-06 4.2030197e-06 4.2030197e-06 3.8375397e-06 2.37562e-06 1.1329879e-05 7.1268596e-06 9.136999e-07 7.3096e-07 1.46192e-06 7.3096e-07 9.136999e-07 1.46192e-06 5.4822e-07 2.55836e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025890602 7.437517e-05 7.876094e-05 6.6882836e-05 0.00011476071 7.437517e-05 0.00034976433 0.00019717644 2.247702e-05 2.5766338e-05 2.5035379e-05 1.4619199e-05 2.7776478e-05 2.4121679e-05 1.3157279e-05 4.4405817e-05 0.036827043 0.0014752599 0.0018608413 0.005818441 0.0022064026 0.0025229084 0.0065724263 0.0040634065 0.0005990217 0.00032820101 0.00020722715 8.241573e-05 0.00033240404 0.00034556133 0.00020868906 0.00017250655 0.06093136 0.0031473308 0.003893641 0.0032739697 0.0036438354 0.003211838 0.012111458 0.006240936 0.00085339573 0.0018630342 0.0007985738 0.0005484027 0.0011677085 0.0012844794 0.0005352454 0.00053670735 0.00069313275 4.29439e-05 7.6202574e-05 0.00029421138 0.000115857154 2.3756198e-05 5.3360076e-05 3.709622e-05 4.3492117e-05 1.6263859e-05 2.2842498e-05 1.3522759e-05 1.571564e-05 1.6263859e-05 1.4070979e-05 1.8273999e-05 0.00214153 0.00017488217 0.00022678032 0.00072547776 0.00033934816 0.00013029361 0.00017652682 0.00015441529 0.00020448604 7.2182294e-05 8.113655e-05 6.706558e-05 0.000105075495 6.9441194e-05 8.808068e-05 0.00010854755 0.003644749 0.00039106357 0.00037096217 0.00081776147 0.0006063313 0.00041847458 0.00031504376 0.00031650567 0.0008692941 0.00021124743 0.00020448604 0.00018730848 0.00039636303 0.00024012034 0.00032326704 0.0007918124 0.013869782 0.0026148264 0.0015224068 0.0023226254 0.0031747418 0.005005614 0.0017042331 0.0021786261 0.008344639 0.0009142482 0.0007834063 0.0011158104 0.004779564 0.0016040916 0.003192102 0.0056307674 0.006027496 0.0015412291 0.0011163586 0.0015445184 0.0016388122 0.002337427 0.0013435044 0.001409108 0.003214579 0.00065457466 0.000647996 0.0008099036 0.0018440292 0.0008197716 0.001565168 0.0023028892 0.059604302 0.044466853 0.044032663 0.04447544 0.04396907 0.044569917 0.044408925 0.04451272 0.04492297 0.043527205 0.04406245 0.04374978 0.04395043 0.04347421 0.044640638 0.044686325 9073.0 5.980932 54265.0 0.012125679 0.009306183 0.011517553 0.0096378885 0.010338156 0.009195614 0.009472036 0.009766885 0.009564176 0.00884548 0.009766885 0.009582604 0.009085045 0.010227587 0.010633005 0.0119413985 0.01741454 0.014134341 0.009785313 0.011001566 0.009711601 0.010614577 0.010338156 0.00991431 0.009803741 0.0103197275 0.009029761 0.00961946 0.008956049 0.010375012 0.008937621 0.011314844 0.010153875 0.010614577 0.008974477 0.010890998 0.010043306 0.0084584905 0.009379895 0.009656317 0.009343039 0.008992905 0.009582604 0.00884548 0.00943518 0.010633005 0.008716484 0.009730029 0.010614577 0.010135447 0.009656317 0.010411868 0.010024878 0.011425412 0.009656317 0.010430296 0.009969594 0.0091587575 0.009453608 0.009269326 0.009140329 0.009490464 0.009693173 0.009453608 0.01000645 0.010798858 0.009177186 0.013249793 0.0110199945 0.011185847 0.01269695 0.010043306 0.010338156 0.014226481 0.009748457 0.009564176 0.009877454 0.011591265 0.011296416 0.01789367 0.011056851 0.008956049 0.014484474 0.012733806 0.01693541 0.010172303 0.009748457 0.011959827 0.008863908 0.009582604 0.009250898 0.010338156 0.009306183 0.010227587 0.010264443 0.009693173 6.567238 0.0 27.0 0.0 27.0 2737664.0 2785280.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1335443600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 10.0 0.0 5.0 1.0 5.0 1.0 1363456.0 1024.0 4096.0 5.0 0.0 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 325632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1363456.0 0.0 969216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.4812746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9537477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1595488 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9051647 0.0 7.0636473 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 325596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47417.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1362969.0 0.0 969216.0 0.0 0.0 0.0 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 0.0 360.0 1679388.0 964589.0 1814528.0 0.0 0.0 5440.0 2737664.0 0.0 0.0 28.0 1371712.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1574072.0 0.0 0.0 2552.0 1368064.0 0.0 0.0 0.0 0.0


Input: 0.2714345 0.045530148 0.023211773 0.011713997 0.019448088 0.0075392528 0.017654158 0.0054340595 0.011552425 0.006439135 0.017625647 0.0036638915 0.0030128497 0.0028869184 0.0031221488 0.0020030225 0.0032765928 0.0049564703 0.010103026 0.0032266956 0.0011975365 0.004939838 0.002943944 0.0020434156 0.001698886 0.0010478444 0.0007104433 0.0019293644 0.0011476391 0.00093854545 0.004345822 0.0008934002 0.004528779 0.0016703734 0.0046760947 0.0008197423 0.0007698449 0.003419157 0.0017369031 0.00075796456 0.025644863 0.0038278399 0.009178737 0.0039941645 0.0015515701 0.0017749202 0.0011143743 0.003350251 0.0026802006 0.0017844244 0.00097418646 0.0015135531 0.0010525966 0.0008292465 0.00073895603 0.0007199475 0.0007793491 0.0014493993 0.0006344092 0.00074608426 0.0031577896 0.0006938108 0.0029938412 0.0007484603 0.0016798776 0.0044384883 0.0027894997 0.0035522163 0.0029201834 0.0019958941 0.0031482854 0.0018366978 0.0007698449 0.0036401309 0.003210063 0.0010169556 0.0012616903 0.0020719282 0.0013567328 0.0014589035 0.0020386633 0.00065816985 0.0013995019 0.0027681151 0.005529102 0.0012117929 0.0011500152 0.0005940161 0.0009242891 0.000551247 0.00044432405 0.00059876824 0.002392697 0.0010906135 0.00091240875 0.010188565 0.0014874163 0.015767563 0.0014684078 0.006593579 0.0055481107 0.02172911 0.001582459 0.0067599034 0.0016608691 0.017777715 0.0004965975 0.0047402484 0.007037903 0.0041581127 0.011459759 0.017953543 0.004889941 0.0013971259 0.009694343 0.0094401045 0.017414177 0.0031435334 0.00243309 0.00081261405 0.00067242625 0.0012664424 0.003164918 0.004908949 0.0006652981 0.0047022314 0.0016347324 0.0007817252 0.004794898 0.0037826947 0.001475536 0.011590443 0.00061777676 0.00044907618 0.0067646555 0.00042769162 0.00054411875 0.00047046077 0.00042769162 0.0005013496 0.00093854545 0.0013496046 0.00036353787 0.00045620438 0.0005369906 0.0005251102 0.0003872985 0.0044408645 0.0005655033 0.00049897353 0.00050610176 0.0004680847 0.00076034066 0.00062490493 0.00048709323 0.00092666515 0.00068430655 0.00079835765 0.0004348198 0.0010834854 0.0052463505 0.0015895872 0.0014161344 0.00086726353 0.0008696396 0.0018604585 0.0005369906 0.0007769731 0.001584835 0.0004965975 0.00047996503 0.0008506311 0.0012046647 0.0006415374 0.0007888534 0.00064391346 0.0008506311 0.0009504258 0.00056075124 0.0006819305 0.0006510417 0.0007936055 0.00060589646 0.0007650928 0.0005369906 0.00065816985 0.0004348198 0.0019293644 0.0005678794 0.0006415374 0.0013757413 0.0010050753 0.0013567328 0.0014612797 0.00072945177 0.00074133213 0.00050610176 0.0006938108 0.0033146099 0.00066054595 0.00056075124 0.00062490493 0.00041343522 0.00060114433 0.0005393666 0.00046570864 0.0005417427 0.0005631273 0.0049873595 0.0023641842 0.0018913473 0.0011642716 0.0008506311 0.00081261405 0.004526403 0.0007936055 0.00042056342 0.0006154007 0.0006938108 0.0005251102 0.00048946927 0.00057263154 0.0007912295 0.00058688794 0.0014921685 0.0012735706 0.00040630702 0.00047758897 0.0005821358 0.0012830748 0.00095993007 0.00095517794 0.00060114433 0.00051798206 0.000294632 0.0003825464 0.011649844 0.00074370817 0.00044907618 0.00037779426 0.0005203581 0.00043957192 0.00037066606 0.0006748023 0.00073658 0.00062965706 0.0003540336 0.0003397772 0.00056075124 0.00042769162 0.0003825464 0.00054411875 0.00062965706 0.00089815236 0.0013187157 0.0004942214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009148723 7.1455793e-06 4.7637195e-06 7.1455793e-06 1.1909299e-06 0.0 0.0 1.1909299e-06 0.0 1.1909299e-06 0.0015017625 4.7637195e-06 4.7637195e-06 0.0015041444 7.1455793e-06 1.1909299e-06 0.014636528 0.00021674923 0.00016792111 0.000117902055 0.00010480183 7.145579e-05 0.0002512862 0.00014529345 2.8582317e-05 4.1682546e-05 0.0017197027 8.693788e-05 0.0001036109 0.0016661109 9.765625e-05 5.5973705e-05 0.0114150625 0.0008181688 0.00030845084 0.00012266578 0.0013052592 0.00095869857 0.00850443 0.0034429783 3.6918827e-05 6.311928e-05 0.00073123095 0.00038109755 0.00032155108 0.00052758196 0.0001595846 0.0001714939 0.015963225 0.0005061452 0.0007764863 0.00412419 0.014131574 0.012769151 0.08710937 0.031652533 0.00021079459 9.17016e-05 0.0003191692 6.431021e-05 0.00013695694 0.00034656058 3.6918827e-05 5.3591844e-05 0.086498424 0.0066144248 0.013712367 0.002751048 0.0034036776 0.003194074 0.008704507 0.011652058 0.0020293444 0.0018542778 0.0017197027 0.0015220083 0.002157965 0.0018602324 0.0018114044 0.0017339939 0.1515625 0.017580507 0.027928496 0.0055151964 0.004650581 0.006169017 0.0119819455 0.012633384 0.0082221795 0.002751048 0.0032155106 0.003314358 0.0029761337 0.011839034 0.004993569 0.00271532 0.15053235 0.016908823 0.023645913 0.007781536 0.012577411 0.008554449 0.008225753 0.0063476562 0.023262434 0.008281726 0.009909728 0.0068395105 0.0073623285 0.00379073 0.014089892 0.0040848893 0.0077636717 0.0014827077 0.0014517435 0.0005930831 0.00051686354 0.00044183497 0.0004704173 0.0004346894 0.00076695887 0.0005025724 0.00050138147 0.00024533155 0.00040491615 0.00024890434 0.0009479802 0.00030011433 0.003568026 0.0010051448 0.000797923 0.00021794016 0.00038824315 0.00015362995 0.0008086414 0.0005156726 0.00044659871 0.00014291158 0.00024652248 0.00040372522 0.00025247713 0.0003072599 0.00033703315 0.00016434833 0.00043230754 0.0002631955 8.8128814e-05 0.0002941597 0.00011909299 0.00018816692 0.00034060594 0.0002703411 1.7863948e-05 3.0964176e-05 2.2627668e-05 0.00017387576 8.0983235e-05 4.6446265e-05 1.6673019e-05 5.3591844e-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 3664.0 20.993996 76922.0 0.0012220171 6.500091e-05 7.800109e-05 0.000143002 0.00013000182 0.00015600218 5.2000727e-05 5.2000727e-05 2.6000364e-05 0.00011700164 1.3000182e-05 1.3000182e-05 0.00011700164 6.500091e-05 0.00074101036 2.6000364e-05 0.0016510232 0.0017940251 0.0010270143 0.0006370089 0.00068900967 0.0005200073 0.00046800656 0.00046800656 0.0005850082 0.000572008 1.3000182e-05 0.0 0.013195185 0.00013000182 0.013195185 0.0 2.6000364e-05 0.008307116 0.011752165 0.013728192 0.007956112 0.0062400876 0.013078183 0.0060970853 0.00046800656 0.01280518 3.9000544e-05 0.00026000364 0.0025090352 0.0041730586 0.0037960531 0.0027950392 0.006812095 0.00019500274 0.0034580484 0.011284158 0.007644107 0.003003042 0.003224045 0.0005590078 0.000286004 0.000104001454 0.00013000182 1.3000182e-05 0.00013000182 0.0 0.0 0.051532723 0.00032500454 0.07207301 0.0044720625 0.03066743 0.02642937 0.10929253 0.0054600765 0.032604456 0.0036140506 0.08636021 0.00015600218 0.022919321 0.03406048 0.016406229 0.057655808 0.06321988 0.013715192 0.0003510049 0.039767556 0.038194533 0.079327114 0.013260186 0.009984139 0.0008710122 0.0007930111 0.0036270507 0.013689192 0.00016900236 0.0 0.00015600218 1.3000182e-05 0.0 4.820091 1.0 0.0 0.0 1.0 420864.0 450560.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541601200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 418816.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -418816.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8643193 0.0 3.1336062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -418728.0 0.0 880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 426832.0 880.0 434176.0 0.0 0.0 0.0 0.0 12.0 442368.0 28.0 426520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0