Input: 0.020110693 0.0047474755 0.00450547 0.004336697 0.004735836 0.0038488063 0.0038522012 0.003858991 0.004926918 0.003660149 0.003656754 0.0037910936 0.004333787 0.0037353209 0.0036121358 0.005365341 0.0043662805 0.0036232902 0.003732896 0.0035723674 0.003989936 0.0038405617 0.00362717 0.0035723674 0.003954532 0.0036436594 0.0035956465 0.0036203805 0.0036780932 0.003601951 0.00363493 0.003704282 0.00401176 0.003607771 0.0037362908 0.0036674235 0.0040534684 0.0036194106 0.0036640286 0.0036121358 0.0037527801 0.003606316 0.0036383248 0.0038623859 0.0035961315 0.003657724 0.0036984624 0.0035204745 0.0036974924 0.0036470543 0.0035932215 0.0044472725 0.003661119 0.0036509342 0.0035840068 0.0034758563 0.0037838188 0.003732896 0.0035660625 0.004004 0.00375763 0.0036761533 0.0036358999 0.0036877927 0.003963262 0.0039501674 0.004235821 0.0039875107 0.004084507 0.0048842398 0.003987026 0.0038381368 0.003833287 0.0036727584 0.0036417197 0.0036882777 0.0037425957 0.0040665627 0.0036776082 0.0036451144 0.0046194405 0.0038206775 0.0037023423 0.004085477 0.0038163126 0.0039458023 0.0041499794 0.004083052 0.0037120418 0.003952592 0.0035427834 0.0037401707 0.0036834278 0.0038745103 0.003883725 0.0037867287 0.0036363848 0.0037760593 0.0036708184 0.003682458 0.0038201925 0.004216422 0.0044244784 0.003660634 0.003934648 0.0038357119 0.0042857737 0.0035165946 0.0037920636 0.0036829428 0.0037843038 0.0038507462 0.0039021543 0.0036252302 0.0040394035 0.0038114628 0.0049254633 0.0050704726 0.0037358059 0.003783334 0.003681003 0.0035854618 0.0036140757 0.0036116508 0.0037430807 0.00400691 0.0037668445 0.0037081619 0.003928828 0.0037930335 0.0036184406 0.0053066583 0.0039438624 0.004676183 0.0038749953 0.0036887627 0.003990906 0.004961352 0.0037789692 0.0070748976 0.0036179556 0.004786274 0.00375569 0.0036664535 0.0035650926 0.0036950675 0.0035136847 0.0035971014 0.0035704274 0.0035752773 0.003706707 0.003533084 0.0034792512 0.0036092259 0.0035486033 0.0035403587 0.0035161097 0.0035364788 0.003604861 0.003660149 0.0035990414 0.0037872137 0.003656269 0.0036116508 0.0035616977 0.0036009813 0.003504955 0.0035476333 0.0036397798 0.003528234 0.0034962255 0.0035864317 0.0035364788 0.0035495732 0.003502045 0.0035490883 0.0037164066 0.0035461783 0.00350253 0.0034753713 0.0035752773 0.0036160157 0.0038623859 0.003731441 0.0037935185 0.003633475 0.0035675175 0.0036252302 0.0036155307 0.0036475393 0.0036839128 0.0035956465 0.0044385428 0.0040524984 0.0038997293 0.004009335 0.0037750893 0.0035534531 0.003926888 0.003906519 0.0037188316 0.0038138877 0.0037464753 0.0036378398 0.0037256212 0.0035437534 0.0036945825 0.0036363848 0.0037372608 0.0036485093 0.0036756683 0.0037479303 0.003558788 0.0034884657 0.0036257152 0.0036004963 0.003727561 0.0036116508 0.0035985564 0.0036771232 0.0037474453 0.003460337 0.003560728 0.0036533591 0.0038400767 0.0035752773 0.00362911 0.003554908 0.0037712094 0.0036009813 0.0036223202 0.0036388098 0.0053711603 0.003905549 0.00362911 0.004131065 0.0040471633 0.0035534531 0.00363299 0.003761025 0.0039671417 0.003727561 0.003780909 0.0037687845 0.0038357119 0.0036174706 0.003926888 0.0037202865 0.0041174856 0.003728531 0.0036848828 0.003807098 0.0041538593 0.0037639346 0.004223211 0.009332483 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00043003698 1.6502547e-05 1.3347649e-05 4.85369e-07 1.0435434e-05 3.3975832e-06 7.765904e-06 5.8244286e-06 9.70738e-07 2.426845e-07 9.70738e-07 6.0671127e-06 2.426845e-07 0.0 2.426845e-07 4.85369e-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 0.00040188557 1.1891541e-05 5.8244286e-06 4.3683212e-06 2.0870868e-05 6.7951664e-06 1.1891541e-05 6.552482e-06 3.882952e-06 1.941476e-06 8.251273e-06 4.8536904e-06 1.941476e-06 1.2134226e-06 1.4561072e-06 3.3975832e-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 0.0010037431 3.276241e-05 3.2519725e-05 7.037851e-06 9.319086e-05 1.0435434e-05 1.7473285e-05 1.1163488e-05 8.7366425e-06 4.8536902e-05 1.23769105e-05 9.707381e-06 2.2326976e-05 3.1063617e-05 1.3833018e-05 0.00013614602 0.0012153641 5.48467e-05 2.5481875e-05 8.639569e-05 0.00015070708 5.144912e-05 1.9172077e-05 2.1113554e-05 3.324778e-05 1.9172077e-05 2.6209927e-05 1.6502547e-05 3.5431938e-05 3.1063617e-05 5.1206433e-05 0.00015070708 0.0016708829 0.00012740937 6.018576e-05 0.00014318386 0.00035456207 0.00020652452 0.000733878 0.00039994408 4.3197844e-05 2.572456e-05 3.276241e-05 2.1598922e-05 3.44612e-05 2.523919e-05 4.6352743e-05 5.0235696e-05 0.0027937843 0.0001740048 0.00036621094 0.00022472587 0.00029340558 0.00021259164 0.00095108064 0.0006598592 0.00016187057 5.9943075e-05 4.9022274e-05 9.1006696e-05 9.2462804e-05 5.48467e-05 8.857985e-05 0.00018783781 0.0015759933 9.828723e-05 0.0001740048 0.00011673125 0.00023710278 0.00019172077 0.000462314 0.00034072905 0.0001536193 6.819435e-05 2.9364826e-05 3.4218516e-05 6.4311396e-05 4.0771e-05 0.00014051434 0.00024826627 0.00083507743 8.299811e-05 0.00016089983 0.0001002287 7.644562e-05 0.0001504644 0.0006227285 0.0002007001 0.00026986518 3.8586837e-05 2.3297715e-05 3.2034357e-05 0.0001128483 0.00012037152 0.00018516829 0.00046741037 0.009445282 0.0013573345 0.0009185609 0.0012262849 0.002593812 0.0023758814 0.0010306812 0.0021196066 0.0061559356 0.0005739489 0.00038805255 0.00096491363 0.0022358524 0.00085837516 0.0022790504 0.004243824 0.007998882 0.0017696555 0.0009802028 0.0016281705 0.0029418217 0.0031272327 0.0014357216 0.002523191 0.0051936912 0.0004436273 0.0007212584 0.00077076606 0.0025134836 0.00088531314 0.0023751534 0.004950279 0.055544417 0.056040224 0.056573886 0.056073714 0.056140937 0.056066677 0.056287035 0.056337513 0.05645206 0.05598586 0.055969115 0.056246262 0.055975426 0.056082934 0.056098226 0.05673406 9537.0 6.2553215 59657.0 0.016930116 0.008247146 0.01002397 0.008532109 0.009521096 0.009386996 0.009236134 0.009420521 0.008984696 0.008565634 0.009068509 0.009001458 0.009152321 0.009537858 0.010191595 0.008833833 0.0096216705 0.008833833 0.008934408 0.009169083 0.009806058 0.008850596 0.008632683 0.008867359 0.009571383 0.008699734 0.008900884 0.008498584 0.00928642 0.009353471 0.009353471 0.009604908 0.009068509 0.010392745 0.008565634 0.010577133 0.009571383 0.008682971 0.010510082 0.011063245 0.009806058 0.010258645 0.008565634 0.009588146 0.01022512 0.009102033 0.009219371 0.009386996 0.010929145 0.009923396 0.01022512 0.012840069 0.010325695 0.009353471 0.010325695 0.012856832 0.009655195 0.008900884 0.008431533 0.008884121 0.009671958 0.009236134 0.008649446 0.009537858 0.009671958 0.016259618 0.009386996 0.013275893 0.013544094 0.02333339 0.010711232 0.010241883 0.009990445 0.015387968 0.01015807 0.008314196 0.013996681 0.011046482 0.015555593 0.016645154 0.011934894 0.008766783 0.01815378 0.014348693 0.019226579 0.011733744 0.010292171 0.009856345 0.00928642 0.0101413075 0.009135558 0.009018221 0.008347721 0.008582396 0.009554621 0.009152321 6.546582 0.0 1.0 0.0 31.0 2061938.0 352256.0 1.0 0.0 219.0 0.0 1.0 0.0 0.0 0.0 1442778200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 166400.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166400.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.389636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.471403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7245097 0.0 5.3535495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20643.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166372.0 0.0 14632.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 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 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 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 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 2.0 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 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 192624.0 220.0 187380.0 14632.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173056.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183424.0 0.0 0.0 916.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.13263871 0.017033482 0.012227535 0.010516847 0.010733964 0.0075145755 0.008111648 0.005036412 0.009824562 0.0038155713 0.007323708 0.0034583064 0.0048673446 0.0030828 0.0029640084 0.01689378 0.008598383 0.004173726 0.0044055255 0.0034614208 0.0039005496 0.0039984304 0.0030632238 0.0025551335 0.0040874127 0.0023059824 0.0022036526 0.0024399012 0.0029898132 0.002180962 0.002741552 0.0023607067 0.00634579 0.0019046712 0.0020470433 0.002176958 0.009166092 0.0025066382 0.0018668537 0.0016132534 0.0048330864 0.0018944383 0.0033435188 0.003964172 0.002385177 0.002191195 0.0020176792 0.0016586345 0.003851609 0.0021524876 0.0021013226 0.004478936 0.0025551335 0.0020559416 0.0027371028 0.0018259217 0.002645006 0.0027495604 0.0018174683 0.004251586 0.0024697103 0.0021480385 0.0021934195 0.002741552 0.0045946133 0.008876898 0.0026948361 0.0035428398 0.0073650847 0.006848096 0.0032349601 0.0024723797 0.012476241 0.0044620293 0.0019424888 0.0021338013 0.0051703304 0.0044121994 0.002415876 0.0022663854 0.004137243 0.0023375712 0.0021796273 0.004086523 0.0032856802 0.0032576506 0.0032709981 0.0028167423 0.0025849426 0.0028140729 0.001692003 0.002175623 0.0027762551 0.0028492208 0.002297529 0.0036976694 0.0027678018 0.004912281 0.0022961944 0.0042987466 0.00379644 0.00868603 0.009724457 0.0026970608 0.002976021 0.0056895437 0.0026107477 0.002435452 0.0045229825 0.002786933 0.005166771 0.007939911 0.004128345 0.0017703075 0.0058105597 0.0053825537 0.009942464 0.0065041785 0.0022432497 0.0021489284 0.0022597115 0.0027250901 0.0017396086 0.0030004913 0.0026774846 0.0034405098 0.0025889468 0.0032291764 0.005524926 0.003394239 0.0019602852 0.0081508 0.0032936886 0.0049176197 0.0023962997 0.0016866641 0.0032220576 0.008597048 0.0021515978 0.01920866 0.002553799 0.006359582 0.001818803 0.0017160282 0.0019829758 0.0015856689 0.0015113684 0.0015127031 0.0019963232 0.0015918976 0.0018793112 0.0013872378 0.0020087808 0.0015732113 0.0014744407 0.0015821095 0.0018330403 0.0013916868 0.0014513052 0.0015660927 0.001991874 0.0015901179 0.0015905629 0.0015945671 0.001829481 0.0015718766 0.001421941 0.0015131481 0.0016871089 0.0014722161 0.0013627675 0.0014664322 0.0016314948 0.0013988055 0.001411708 0.0018842053 0.0018481673 0.0018846502 0.0016283805 0.0014895677 0.0017671932 0.0014170469 0.0037061227 0.002023463 0.002354033 0.0018063455 0.0018748621 0.0016928928 0.0018886544 0.001666643 0.0017404985 0.0017467273 0.0061936295 0.006085516 0.0029057248 0.0040277946 0.0030712322 0.002022128 0.0027379927 0.0030943677 0.0037528386 0.0030948126 0.0021160047 0.0021008777 0.0039726254 0.0017440578 0.0018575105 0.0019442685 0.0031094947 0.0025386717 0.0025911715 0.0024532485 0.0018205828 0.001635944 0.0018517267 0.0018063455 0.0028300895 0.0021845214 0.0017551805 0.0023224442 0.0020710686 0.0020830813 0.0018735273 0.0017694178 0.0032598753 0.0020657296 0.002583608 0.0017022359 0.0020506026 0.0017035707 0.0017956676 0.0015700969 0.0062799426 0.0024581426 0.001854841 0.0037928808 0.0030303004 0.0015652028 0.0016572998 0.0019033365 0.0031219523 0.0018526164 0.0022294575 0.0024216599 0.0021373606 0.0016630837 0.002317995 0.0021320216 0.0036425001 0.002496405 0.0022552623 0.002068399 0.002961339 0.0021235682 0.0033902347 0.020994095 0.0009055357 3.5624714e-06 8.9061786e-07 0.0 0.0 2.2265446e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00045777758 2.1597483e-05 4.4530893e-07 1.1132723e-06 2.2265446e-07 2.2265447e-06 4.4530893e-07 6.6796343e-07 8.9061786e-07 2.2265446e-07 0.0 0.0 4.4530893e-07 2.2265446e-07 6.6796343e-07 0.0 0.00042682863 0.00083740347 4.6757436e-06 8.238216e-06 6.679634e-06 7.792906e-06 7.792906e-06 6.9022885e-06 3.785126e-06 3.339817e-06 2.2265447e-06 4.8983984e-06 2.6718537e-06 3.785126e-06 4.6757436e-06 4.0077803e-06 0.0009151099 5.2101146e-05 0.0 2.6718537e-06 3.5624714e-06 6.6796343e-07 8.9061786e-07 2.6718537e-06 3.339817e-06 3.5624714e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.00038652815 0.004550167 6.323387e-05 6.612838e-05 5.4995653e-05 0.00013292472 4.787071e-05 9.084302e-05 5.031991e-05 8.7057895e-05 2.5605264e-05 4.0523115e-05 2.2042792e-05 2.2265447e-05 3.183959e-05 4.274966e-05 0.00014338948 0.0036887166 0.00012401854 9.9971854e-05 4.341762e-05 0.0006209833 0.00037561808 0.00014650665 8.817117e-05 0.00011912014 1.1132724e-05 1.4695195e-05 1.7367049e-05 2.0261557e-05 1.7812357e-05 3.0503663e-05 5.3659725e-05 0.009082744 0.00092089886 0.00033531763 0.00019237347 0.0005227927 0.00030191947 0.00068867026 0.00039966477 0.00015185034 7.4366595e-05 0.0001271357 8.7503206e-05 0.00012735836 9.2401606e-05 9.48508e-05 0.00048004303 0.013723531 0.0019386525 0.000790646 0.00054305425 0.003837895 0.0028595512 0.018473418 0.009615333 0.0006425808 9.2846916e-05 0.00012913959 7.592517e-05 0.000109323344 0.000118674834 0.000104870254 0.00029613046 0.027708013 0.003090444 0.0028009932 0.0012811538 0.0016968497 0.0012867202 0.005741813 0.0045978148 0.0011555767 0.00035290734 0.0003751728 0.00031616935 0.00050943345 0.0005706634 0.00040745767 0.00054839795 0.04098757 0.0061661927 0.0055196043 0.0026402366 0.0023113762 0.0021989355 0.0057569537 0.005529401 0.0019486719 0.0007839664 0.00088839134 0.00062899885 0.0008044506 0.0009945976 0.0006708579 0.001969156 0.018860169 0.0030813152 0.0017925912 0.0019350899 0.0013713288 0.0014174184 0.0023999924 0.0016636741 0.0013844655 0.00055262836 0.0007222911 0.0007320879 0.0007690485 0.0006200927 0.0010010545 0.0013684344 0.022140093 0.003916715 0.0021234557 0.0037022985 0.0018141887 0.0017447204 0.0022503687 0.0017371501 0.002464785 0.0014583868 0.001245529 0.0011152762 0.0013337003 0.0013272433 0.0015376518 0.0016160262 0.016157145 0.003031886 0.0025077574 0.0021072018 0.0041772206 0.0016719124 0.005084315 0.0018578289 0.003629268 0.0009638712 0.00084519637 0.001338376 0.002964199 0.001837122 0.0019733866 0.0027488922 0.059496168 0.0103425225 0.012498486 0.00849694 0.033068642 0.010404198 0.010959944 0.01058722 0.03452725 0.0030044995 0.0021913652 0.0062806373 0.019513438 0.0076639894 0.010814105 0.019156523 0.019876586 0.0049867923 0.0037817862 0.0038692893 0.0076250248 0.0061991457 0.003744603 0.0056289276 0.012915072 0.0011829631 0.0012070099 0.0020306087 0.0068210196 0.0036343888 0.0050201905 0.009515807 0.017979793 0.017799221 0.017579906 0.017896743 0.017731534 0.017739773 0.017972669 0.017831506 0.017942833 0.017804565 0.017605511 0.017867798 0.017720623 0.017769385 0.017566992 0.01773287 14174.0 11.950191 169382.0 0.011441594 0.0019659705 0.0017002987 0.0019305475 0.010479271 0.0018242789 0.001883317 0.0018360865 0.0029282924 0.002007297 0.0016648759 0.0023497185 0.00236743 0.0026390054 0.005703085 0.0017002987 0.008536916 0.005136319 0.004634495 0.0052484917 0.0041739973 0.0035659042 0.0034478279 0.0034419242 0.0040382096 0.0050949925 0.00261539 0.0039437483 0.007202654 0.0027806968 0.0070845783 0.0040677288 0.0035540967 0.023148859 0.0068130028 0.014541096 0.012504281 0.01070952 0.00906826 0.006671311 0.008879337 0.011105076 0.0019718742 0.0030227534 0.007970151 0.0078107473 0.0063938317 0.0067834835 0.0103789065 0.002172604 0.007279404 0.017180102 0.013171411 0.007680863 0.0066949264 0.007869786 0.0023792374 0.0027688893 0.0019659705 0.0022552575 0.0043511116 0.0042861695 0.0039968826 0.022965841 0.0036662691 0.037872974 0.008938376 0.024524448 0.021708328 0.08395225 0.012817183 0.014216387 0.008424744 0.038351182 0.0024087566 0.007179039 0.029094001 0.015739571 0.039124582 0.03879397 0.015568361 0.0021489887 0.04264916 0.032966904 0.058376923 0.018195558 0.0060396027 0.005337049 0.0060750255 0.011955226 0.0035600006 0.0016825873 0.0027039472 0.002078143 0.001788856 0.014281329 5.83258 1.0 0.0 0.0 27.0 2247632.0 3117056.0 1.0 0.0 75.0 0.0 1.0 0.0 0.0 0.0 1425573400.0 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 11.0 0.0 5.0 1.0 5.0 1.0 32768.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 3029504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.704836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3853495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.581308 0.0 7.2366223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21002.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32422.0 0.0 3029116.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 56156.0 3029116.0 73728.0 0.0 0.0 181528.0 3099136.0 3448.0 3104768.0 56.0 37248.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 54536.0 0.0 0.0 312.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.12531893 0.01694028 0.0061936937 0.007003097 0.020338453 0.008947424 0.003963436 0.00390625 0.0119298985 0.0035741308 0.0034971496 0.0050257775 0.0029098922 0.0027515308 0.0030858496 0.0029186902 0.0029714773 0.003112243 0.0026371586 0.0034883516 0.0027295363 0.0026173634 0.0028966956 0.0027339351 0.0030814507 0.0031034453 0.0024392067 0.0025931695 0.0024568024 0.0027647277 0.0023798211 0.002355627 0.0042251726 0.002298441 0.00242601 0.0025689753 0.016960075 0.0024128132 0.0023578266 0.0026547543 0.0027207383 0.0023754223 0.0023336324 0.002298441 0.0023292336 0.0034531602 0.0039436407 0.0033013972 0.0025887704 0.0027031426 0.0028351105 0.0026239618 0.0033321895 0.0024678 0.0031958227 0.0023534277 0.0027845227 0.0026921453 0.0030682539 0.0028175148 0.002615164 0.0024458051 0.002331433 0.0024370074 0.0029384855 0.004123997 0.0028241132 0.0036313168 0.010249508 0.016166069 0.002643757 0.0027207383 0.0027053421 0.0041042017 0.0022940421 0.0023006406 0.0031650302 0.0031848254 0.003963436 0.003994229 0.003774282 0.0029956715 0.0043945312 0.003952439 0.0052853147 0.003224416 0.0037126972 0.0024678 0.0028681024 0.0027053421 0.0023116379 0.0024392067 0.0023182363 0.0023666245 0.002298441 0.006591797 0.0025711746 0.005052171 0.0029054934 0.0042691617 0.0042801592 0.005742803 0.0029054934 0.004038218 0.0032046207 0.005373293 0.00226105 0.002524986 0.0036577105 0.0035125457 0.005111557 0.0041327947 0.0031452351 0.0024458051 0.00485202 0.004420925 0.0060419305 0.0032794024 0.002841709 0.0031144426 0.0026921453 0.0025095898 0.0023204356 0.0021466778 0.0023248347 0.0022676485 0.0021554758 0.00230284 0.002615164 0.0024370074 0.0024568024 0.0028549058 0.0023490288 0.0024348078 0.002327034 0.0023116379 0.0024941934 0.0032596074 0.0023380313 0.0030198656 0.0023160367 0.0026393582 0.0023094383 0.0022280582 0.0027647277 0.0024678 0.002331433 0.0022104625 0.0024458051 0.002289643 0.0023688239 0.0022786458 0.0024194117 0.0023600261 0.0023094383 0.0024194117 0.002540382 0.0022302575 0.002421611 0.0025051907 0.0026899457 0.0028527062 0.0028966956 0.002289643 0.004086606 0.0023204356 0.002269848 0.0023512281 0.0023996164 0.0022478534 0.002496393 0.002483196 0.0023864196 0.0023820207 0.0022434543 0.002289643 0.002331433 0.002454603 0.0023688239 0.0022566512 0.0023666245 0.0023886191 0.0023600261 0.002516188 0.002421611 0.0023578266 0.0024612015 0.0023622254 0.0025271855 0.0023908184 0.0023292336 0.0024040153 0.0028153153 0.0024436058 0.002401816 0.0026745496 0.0024238105 0.0024040153 0.005934157 0.016093487 0.002335832 0.0024765977 0.0023226351 0.0023160367 0.0023336324 0.0023446297 0.002393018 0.0021928668 0.0024897945 0.0021598747 0.0025183875 0.0022566512 0.0022852442 0.0022874437 0.0026503555 0.0027163394 0.0032574078 0.0030792512 0.0033563836 0.0033365886 0.003437764 0.0034245672 0.003745689 0.003919447 0.0040162234 0.0039150477 0.0040734094 0.004200978 0.0043153507 0.00419438 0.0036247184 0.0034223676 0.010440861 0.0038292687 0.0038072742 0.0038952527 0.0028790997 0.0025315844 0.0025799726 0.0023534277 0.0025645762 0.002540382 0.0022500528 0.0023050394 0.002516188 0.002331433 0.0022720473 0.0023952175 0.0024106137 0.0023160367 0.002355627 0.0024414062 0.0023292336 0.00390625 0.004009625 0.026675113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021052307 1.102215e-05 3.1964235e-05 2.20443e-06 1.6533226e-05 2.20443e-06 3.4168665e-05 7.7155055e-06 1.983987e-05 4.40886e-06 1.102215e-05 3.306645e-06 1.102215e-06 4.40886e-06 0.0 2.20443e-06 0.003947032 4.849746e-05 6.7235116e-05 3.0862022e-05 2.0942085e-05 6.503068e-05 7.825727e-05 4.9599676e-05 1.763544e-05 3.1964235e-05 2.865759e-05 3.747531e-05 2.0942085e-05 2.0942085e-05 1.8737655e-05 3.0862022e-05 0.015083812 0.00029098475 0.00043537494 0.00013557245 0.00010471042 0.00026783824 0.00077706156 0.00045080594 5.0701892e-05 6.282626e-05 0.00010801707 5.0701892e-05 4.5190816e-05 3.306645e-05 3.8577524e-05 0.00012344809 0.0063741095 9.919935e-05 0.00021603414 0.00010801707 7.054176e-05 0.00021713636 0.0002865759 0.00019509206 2.5350946e-05 7.384841e-05 4.849746e-05 2.20443e-05 2.3146515e-05 2.7555376e-05 0.002635396 0.00086413656 0.005942041 8.0461694e-05 0.00021382971 0.00014769682 0.000100301564 0.00016423003 0.00054780085 0.00029870027 3.8577524e-05 0.00011903922 7.384841e-05 4.7395246e-05 2.424873e-05 0.000111323716 0.0025240723 0.0008531144 0.01619705 0.0023157538 0.0009214518 0.0019343874 0.0015574298 0.0015309766 0.0012466052 0.00073958625 0.00023918066 0.00017745662 9.919935e-05 7.935948e-05 6.0621827e-05 0.0025968186 0.0024524285 0.0017117399 0.008649081 0.00051032554 0.00039569518 0.0004122284 0.0005048145 0.0002645316 0.0012444007 0.00066243124 0.00014549238 8.1563914e-05 0.00079028815 0.00017745662 0.00013116359 0.003419071 0.0011859833 0.0017414998 0.0062120836 0.00029649583 0.00026894046 0.0003758553 0.0012399919 0.0012951026 0.0009115318 0.00047946352 0.00027004268 0.00029098475 0.00051914324 0.00026783824 0.000115732575 0.0010195489 0.0027852973 0.0017106377 0.044837005 0.002142706 0.008024125 0.0020688577 0.009002892 0.0025913075 0.007509391 0.0042303014 0.0011826768 0.0008057192 0.0023818866 0.0012212542 0.0068271197 0.0030928154 0.0062363325 0.008455091 0.07403578 0.004255652 0.012928982 0.004038516 0.02333279 0.013141709 0.014455549 0.008341563 0.0026486227 0.0026739736 0.0025240723 0.0023862955 0.013881296 0.0027467199 0.009179247 0.0125895 0.006506375 0.0008068214 0.00102506 0.00034058443 0.0011341793 0.0006536135 0.00072195084 0.00054008537 0.001086784 0.0010647397 0.0010669441 0.0009479049 0.0010129357 0.000881772 0.0032427167 0.0037982329 0.0026993246 0.0002127275 0.00062716036 0.00028216705 0.0009093274 0.0003670376 0.0004177395 0.00039238855 0.00096554036 0.00019509206 0.00012895916 0.00017084333 0.0005489031 0.0002281585 0.00038467304 0.0004993034 0.0016985133 0.00026012273 0.00036593538 0.0002788604 0.0005874806 0.00036373094 0.00019950092 0.00024689618 0.00071754196 0.00028878034 0.00017084333 0.00022374965 0.0004188417 0.00022264743 0.0003086202 0.0004199439 0.033058736 0.03308739 0.03313148 0.033157934 0.032546204 0.03288789 0.032998115 0.03221995 0.033060938 0.03256825 0.032810736 0.032734685 0.032904424 0.03261344 0.03322076 0.032958433 3433.0 10.892805 37395.0 0.017194811 0.0020590988 0.0020858403 0.0019253911 0.0048402194 0.0018986495 0.0019788742 0.001871908 0.0031287605 0.003208985 0.0019788742 0.0016044925 0.0020056157 0.01612515 0.017997058 0.0130231315 0.0023799974 0.0032892097 0.007086509 0.006150555 0.010268752 0.0027811204 0.011365156 0.0025939296 0.006792352 0.0045995456 0.004759995 0.0018451664 0.0019788742 0.0038507823 0.0018184249 0.0021125819 0.0020590988 0.016098408 0.007915497 0.015911218 0.011686054 0.026768284 0.0058296565 0.008263137 0.005321567 0.017542452 0.0035031422 0.0026474127 0.0129429065 0.008717743 0.015189196 0.017034363 0.009626956 0.0020590988 0.018906271 0.015376387 0.035298835 0.010857066 0.020002674 0.003155502 0.005749432 0.0047332533 0.003208985 0.0020323573 0.0021125819 0.0020590988 0.0019521327 0.05372376 0.0014707849 0.029923787 0.0057226904 0.024388287 0.022757053 0.040887818 0.007541115 0.021286268 0.010669876 0.03813344 0.0019521327 0.0034229176 0.018317956 0.015964702 0.03535232 0.022810536 0.009680439 0.0018451664 0.030939965 0.025457948 0.041904 0.01179302 0.006605161 0.011445381 0.007541115 0.004198422 0.0038507823 0.0014707849 0.0019253911 0.0020590988 0.0021928065 0.0016044925 5.93336 2.0 0.0 0.0 12.0 454656.0 483328.0 0.0 0.0 54.0 0.0 1.0 0.0 1.0 592.0 1538479100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 24.0 4.0 0.0 4.0 0.0 91136.0 1024.0 4096.0 16.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -7680.0 -6656.0 -43008.0 -512.0 0.0 0.0 0.0 3584.0 0.0 1536.0 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 -240640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -91136.0 -2048.0 35840.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 -1.8050417 0.0 0.0 -4.543358 -5.6244063 -6.0435963 -1.7868885 0.0 0.0 0.0 3.3066509 0.0 5.117797 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6194582 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9989457 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2397585 -4.9808674 5.348537 0.0 0.0 0.0 -2.1790566 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -7724.0 -6387.0 -42709.0 -52.0 0.0 0.0 0.0 3358.0 0.0 1240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -560.0 0.0 0.0 0.0 0.0 0.0 6288.0 0.0 0.0 -240196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -90648.0 -1624.0 35592.0 0.0 0.0 0.0 -728.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1624.0 352256.0 35592.0 364544.0 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 360452.0 0.0 0.0 0.0 0.0 228.0 352564.0 0.0 0.0 0.0 0.0


Input: 0.06766063 0.00608163 0.004235635 0.004578611 0.0051350477 0.0043835384 0.0042500254 0.0036112426 0.0053501073 0.0032027094 0.0031275584 0.0034689354 0.005367696 0.004543434 0.0030460116 0.009496201 0.010243713 0.007966 0.002790978 0.0026798507 0.0038255027 0.0046409704 0.0028885144 0.002700637 0.0039470233 0.0028213582 0.0028237565 0.0027949754 0.0034137715 0.0034673365 0.0027693922 0.0029101004 0.004168479 0.0027653947 0.002881319 0.002991647 0.0042804056 0.003581662 0.0027885796 0.0028349494 0.0034401543 0.0026542672 0.0029756576 0.0034953183 0.0031659333 0.002996444 0.0028069676 0.0027581993 0.0035057114 0.0028117644 0.0027933766 0.004540236 0.0032346884 0.0033370217 0.002770991 0.0027486058 0.0034537455 0.0033546102 0.0027901786 0.0033849904 0.0032410843 0.0035592765 0.0027613973 0.0028101655 0.004593801 0.004114114 0.0040493566 0.003929435 0.0044307075 0.0056443154 0.0046377727 0.005108665 0.0037847294 0.0030755922 0.002921293 0.0029188946 0.003503313 0.0036416228 0.0029852511 0.0030252251 0.004474679 0.0031683317 0.0042308383 0.0038055158 0.0037511513 0.003688792 0.0033354226 0.0032562744 0.0032115036 0.0032826571 0.0027094313 0.0029124988 0.0032802587 0.0034337584 0.0031315556 0.002994845 0.003563274 0.0032258942 0.0025911084 0.003152342 0.003558477 0.0036847945 0.0037839299 0.0028149623 0.015612208 0.0052014044 0.0033546102 0.002824556 0.0034009798 0.0032035087 0.0032562744 0.0033737975 0.0035960525 0.002832551 0.0033466152 0.0035672714 0.0043211794 0.004070143 0.0028421446 0.0027326162 0.003380993 0.0028445432 0.0030556053 0.0028365483 0.003342618 0.003245881 0.0031179646 0.0029804544 0.005354105 0.0036863936 0.00294128 0.0054460447 0.005297342 0.007021816 0.003120363 0.0027805849 0.003996591 0.0058849584 0.0030612017 0.010807345 0.0032194983 0.0053517064 0.0027693922 0.002760598 0.0033889876 0.002735814 0.0026358792 0.0026998376 0.0031403499 0.0031259593 0.0026918428 0.0027278194 0.0033538106 0.0027949754 0.0027733895 0.0028229572 0.0032538758 0.0029093008 0.0028725248 0.002953272 0.0037975209 0.0042764083 0.0030540063 0.0045954003 0.0032019098 0.0027094313 0.0026214886 0.0027574 0.0035145057 0.002792577 0.0028365483 0.0027845823 0.0032626702 0.002924491 0.0027550014 0.002938082 0.0036831957 0.0028725248 0.002702236 0.0027486058 0.0032962481 0.0031475453 0.0037759352 0.0030020403 0.0061895596 0.0033010452 0.002902905 0.002789379 0.0032194983 0.0030252251 0.0031867197 0.0030180297 0.005031116 0.0048776157 0.0032402847 0.005066293 0.0034609407 0.0026686578 0.0037327632 0.0065629156 0.003984599 0.0030636 0.0030260247 0.002809366 0.004563421 0.0027470067 0.0029148972 0.003103574 0.0037143752 0.003006837 0.0028549363 0.002830952 0.003212303 0.0027158272 0.0027853816 0.0028165614 0.0036416228 0.002906103 0.0028005717 0.002918095 0.0035440864 0.002988449 0.0029404804 0.0028181602 0.0041956613 0.002939681 0.0027973738 0.0027869807 0.00358486 0.0029308868 0.002829353 0.002642275 0.0053205267 0.00493278 0.0028373478 0.003100376 0.0038478882 0.0026942412 0.0029013061 0.0030188293 0.004180471 0.0027382125 0.0027310173 0.003160337 0.0036752007 0.0031563395 0.0033753966 0.0030364178 0.004125307 0.0031883186 0.003212303 0.003578464 0.0040877317 0.0036496175 0.003918242 0.023762887 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030245422 0.00011646708 0.0002345351 0.00018810834 0.0004758741 0.00017490075 0.00073522347 0.0005291048 0.00062636076 8.244749e-05 0.00010966317 0.00013007493 0.00019211066 0.00019771389 0.0004614658 0.0009181288 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.005509974 0.00075563526 0.00053270685 0.00078044954 0.001305552 0.0012126985 0.00088010693 0.0011154425 0.0028116195 0.00033859504 0.00031378074 0.0005455142 0.0013940029 0.0004966861 0.0014080111 0.0027303726 0.042940732 0.014008869 0.0069960295 0.007545546 0.012712522 0.009747215 0.013649862 0.007041256 0.01958168 0.005458344 0.007522733 0.008377626 0.012115379 0.0059050014 0.008296379 0.018100826 0.06581031 0.047110736 0.041346617 0.041706022 0.04556985 0.042160284 0.04671811 0.040494524 0.049360033 0.040432088 0.04221752 0.04300077 0.04592245 0.04125136 0.042110257 0.047739897 4491.0 7.0507684 31665.0 0.018537818 0.0066003473 0.0078004105 0.007200379 0.008274119 0.007926733 0.0067266696 0.007895152 0.0075161853 0.006789831 0.007863572 0.007610927 0.0072319596 0.006000316 0.0074846046 0.007042476 0.008653087 0.0075477655 0.007453024 0.007958313 0.007863572 0.008053055 0.0075161853 0.00776883 0.0075477655 0.008684668 0.008242539 0.007926733 0.007895152 0.007895152 0.0067266696 0.0074214432 0.009379441 0.010232117 0.007895152 0.009695247 0.009095215 0.009537344 0.012032212 0.009284699 0.008937312 0.0083057005 0.006884573 0.0069161537 0.009221538 0.008653087 0.007863572 0.0076425076 0.010642665 0.008684668 0.008179378 0.010232117 0.00985315 0.007895152 0.009189958 0.010074214 0.008368862 0.007863572 0.008779409 0.007326701 0.009253118 0.0074214432 0.007453024 0.01032686 0.008937312 0.018506236 0.008526765 0.016737724 0.014053371 0.03325438 0.009632085 0.010674246 0.023180168 0.027159324 0.007705669 0.0070740567 0.017148271 0.01711669 0.019927364 0.026654035 0.014274435 0.012000632 0.022611717 0.02595926 0.02535923 0.012032212 0.008242539 0.007863572 0.009632085 0.009947892 0.009063635 0.007737249 0.008432022 0.007358282 0.008779409 0.0076425076 6.4407244 0.0 2.0 0.0 15.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9940934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 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 -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 -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 -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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 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 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.2502484 0.026783627 0.0038867674 0.0035019873 0.0044371495 0.0045394325 0.002381741 0.0025522131 0.004919342 0.002367129 0.002927252 0.0019628662 0.0019872196 0.0021041147 0.0018167472 0.004865765 0.0046076216 0.0017290758 0.0016073098 0.0016170511 0.0021723036 0.0048901183 0.0015001559 0.0015439916 0.0034873753 0.002045667 0.0014270963 0.0014758026 0.0017436877 0.0013881313 0.0013004598 0.0019579956 0.0074715554 0.0018411004 0.0019287718 0.0014758026 0.010890742 0.0016511455 0.0014952852 0.0015196383 0.0034289276 0.0013735193 0.001271236 0.0017680408 0.0015293796 0.0043153833 0.0021479505 0.0013735193 0.0051872274 0.0019141599 0.0014806733 0.004013404 0.002245363 0.0012761066 0.0013832606 0.0015293796 0.003156172 0.0019823487 0.0014514495 0.0021917862 0.0016949812 0.0016901107 0.0015293796 0.0016852401 0.010749494 0.005138521 0.0020992442 0.0026057903 0.005649938 0.0037503897 0.0019726076 0.0020359259 0.030933408 0.00390625 0.0014855439 0.0022551045 0.006302603 0.0028006157 0.0018508417 0.0018264884 0.003516599 0.0015293796 0.002152821 0.0025765663 0.0027324269 0.0019044187 0.0022697162 0.0030392767 0.0028882872 0.0016560162 0.002006702 0.0021820448 0.003745519 0.0017826527 0.0019433837 0.0028444515 0.0031756547 0.004174135 0.0023330345 0.0032048784 0.0032633261 0.0051433914 0.0034971165 0.0021333385 0.0033704801 0.0036042705 0.0014124844 0.0019287718 0.0039695683 0.0027665212 0.0035750468 0.003623753 0.004281289 0.0015829566 0.0044127963 0.0038721554 0.0074179787 0.003813708 0.0019287718 0.0025376014 0.0039841803 0.0023184228 0.002060279 0.0018167472 0.002941864 0.0017436877 0.002128468 0.0021966568 0.0045686564 0.0022063982 0.0016949812 0.0073108245 0.0027324269 0.0057229972 0.0015926979 0.0018703241 0.0036188825 0.007973231 0.0017680408 0.018333074 0.0017095932 0.007831982 0.0016170511 0.0019190306 0.003010053 0.0014514495 0.0013978725 0.0015829566 0.0014758026 0.001792394 0.0013686487 0.0016121805 0.0017436877 0.0014514495 0.0014368376 0.0014660615 0.0016414043 0.0013832606 0.0016073098 0.001470932 0.002742168 0.0018703241 0.0019044187 0.0016706281 0.0019287718 0.0019969607 0.0016560162 0.0017729115 0.0023038108 0.0020797616 0.0015926979 0.002274587 0.0020554084 0.0022843282 0.001967737 0.0022404925 0.0027860038 0.0015829566 0.001431967 0.0015634741 0.001792394 0.002006702 0.0019190306 0.0020700202 0.0026691086 0.0020992442 0.0020018313 0.001699852 0.0014952852 0.0015586035 0.0018216178 0.0020115727 0.0060103647 0.0026301434 0.0020505376 0.0039987923 0.0038283197 0.0015878273 0.0018751948 0.003034406 0.0031756547 0.0027129443 0.0017144638 0.0025327306 0.00996045 0.0017875234 0.002138209 0.0024694125 0.0028541926 0.0019044187 0.0024255768 0.0018118765 0.0015293796 0.001578086 0.0017047225 0.0020651496 0.0026106609 0.0021430799 0.0015439916 0.0023573877 0.0017144638 0.0014806733 0.0016365336 0.0019774782 0.0026009197 0.0016754988 0.0015732154 0.0015196383 0.0014270963 0.0017242051 0.0013540367 0.0017095932 0.005859375 0.0031074658 0.0016121805 0.002941864 0.0033412562 0.0015439916 0.0012907186 0.0018654536 0.0034045745 0.0016219218 0.0015634741 0.0015634741 0.0015147678 0.0017826527 0.002138209 0.001899548 0.0035117285 0.0019141599 0.0017144638 0.0017339464 0.0020115727 0.0017485583 0.002542472 0.030115142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004311106 2.6990421e-05 1.7175722e-05 3.4351444e-05 3.189777e-05 2.2083072e-05 1.2268373e-05 2.2083072e-05 4.6619818e-05 3.4351444e-05 4.4166143e-05 3.9258794e-05 5.1527168e-05 6.134187e-05 7.1156566e-05 0.00019874764 0.0039479625 6.624922e-05 1.7175722e-05 4.4166143e-05 6.379554e-05 0.0001545815 4.4166143e-05 4.6619818e-05 5.6434517e-05 2.9444096e-05 5.1527168e-05 4.9073493e-05 4.4166143e-05 1.4722048e-05 1.4722048e-05 0.00038031957 0.056706876 0.0005790672 0.0019555786 0.0006698532 0.004590825 0.0022647416 0.00361917 0.0034106078 0.0013912335 0.0006232333 0.0007410097 0.0006207797 0.0005618915 0.00045883717 0.0004269394 0.0017813678 0.037082385 0.0007410097 0.0008538788 0.0006968436 0.003069547 0.0016807672 0.0037516686 0.0022573806 0.0013765114 0.0005447158 0.0006673995 0.00043675408 0.00032633872 0.0002919873 0.00028217258 0.0012170227 0.028830677 0.00056434516 0.0010501727 0.00063304807 0.0034572275 0.0022132145 0.0060875667 0.0030744544 0.0005447158 0.0005030033 0.0006968436 0.0005471694 0.00044656877 0.00045147614 0.00041221734 0.0007385561 0.05089412 0.0029444096 0.003943055 0.0029591315 0.002571451 0.0025223775 0.008384206 0.005579656 0.001764192 0.0012194763 0.0013936872 0.0010869779 0.0015752591 0.0014942879 0.0012881792 0.0058569214 0.026916811 0.00087350816 0.0022770101 0.0014133166 0.0016071568 0.0014942879 0.005037394 0.0042350423 0.0018966905 0.0012341983 0.0013127159 0.0012881792 0.0014157703 0.0012660961 0.00071156566 0.0022966394 0.02693644 0.0009839236 0.0016243326 0.001229291 0.0022107607 0.0018525244 0.002051272 0.0020561793 0.002451221 0.0017666457 0.00460064 0.0020414572 0.0024095085 0.002065994 0.0020856233 0.003935694 0.008016155 0.00045147614 0.0004539298 0.00034106078 0.0004931886 0.00063304807 0.00046619817 0.00083670305 0.0009692015 0.00072383403 0.00087596185 0.0009716551 0.0010133677 0.0009961919 0.0008416104 0.0020169206 0.054324355 0.010190111 0.015813934 0.009581599 0.048494425 0.010280897 0.0055281287 0.01028335 0.042242464 0.0032167675 0.004350365 0.006107196 0.026259227 0.007154915 0.011470929 0.0211335 0.0044902246 0.0008980449 0.001418224 0.00082688837 0.0038179178 0.0007876296 0.00049073494 0.00087350816 0.0037884736 0.00036559752 0.00020856234 0.0006477701 0.001854978 0.00095693313 0.0011753101 0.002524831 0.018304413 0.016255595 0.016154993 0.016086292 0.015401715 0.01500422 0.015843377 0.016547581 0.016292399 0.015683888 0.015507224 0.01674633 0.015786942 0.016240872 0.016454343 0.018996349 907.0 11.024256 9999.0 0.03250325 0.0030003001 0.00490049 0.00110011 0.01830183 0.00190019 0.0018001801 0.00190019 0.00190019 0.00250025 0.00160016 0.0036003601 0.00260026 0.03080308 0.01610161 0.00290029 0.0110011 0.01030103 0.00440044 0.00790079 0.00350035 0.00270027 0.00290029 0.0030003001 0.0050005 0.00760076 0.0018001801 0.00440044 0.00490049 0.00290029 0.0033003301 0.00320032 0.00950095 0.02630263 0.00240024 0.00750075 0.01080108 0.01020102 0.00480048 0.00580058 0.01740174 0.00640064 0.00190019 0.00270027 0.00920092 0.00420042 0.00250025 0.00490049 0.00530053 0.00210021 0.0070007 0.00980098 0.00890089 0.00570057 0.01080108 0.01810181 0.0050005 0.00380038 0.00460046 0.00460046 0.01250125 0.00510051 0.00750075 0.01210121 0.00370037 0.03720372 0.0072007203 0.02540254 0.02040204 0.0620062 0.01420142 0.00920092 0.0110011 0.03710371 0.0015001501 0.00440044 0.0340034 0.01920192 0.02780278 0.03260326 0.01940194 0.00140014 0.03730373 0.02970297 0.04340434 0.01660166 0.0050005 0.010001 0.01130113 0.0080008 0.00520052 0.0010001 0.00170017 0.00280028 0.00140014 0.00320032 5.927066 0.0 0.0 0.0 5.0 205312.0 225280.0 1.0 0.0 167.0 1.0 1.0 0.0 0.0 0.0 140259440.0 0.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 10.0 10.0 0.0 6.0 2.0 60928.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47616.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60928.0 0.0 86528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3528686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.320344 0.0 0.0 0.0 0.0 4.99242 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7861123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.221137 0.0 5.26627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47338.0 0.0 0.0 0.0 0.0 5088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60531.0 0.0 86968.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 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 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 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 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 700.0 106344.0 87032.0 131072.0 5088.0 118784.0 0.0 0.0 2380.0 221184.0 84.0 84672.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 66496.0 0.0 0.0 1608.0 79000.0 128.0 105984.0 0.0 0.0


Input: 0.056580115 0.008286522 0.006167339 0.005647364 0.0057548736 0.0049630227 0.0041990834 0.005415804 0.0050415876 0.0056163515 0.003749403 0.0044533852 0.004950618 0.0031891118 0.0043241666 0.004633257 0.005043655 0.0037597404 0.0049382127 0.0041608345 0.0043541454 0.0031860105 0.00410708 0.0038486428 0.0050746677 0.0033462413 0.0031777406 0.0029275736 0.0041411933 0.0034444474 0.0037938543 0.003786618 0.0061621703 0.0038176305 0.0034888985 0.0030175096 0.0048906603 0.004168071 0.0038486428 0.0037204581 0.0047293957 0.0038910264 0.003340039 0.0031002094 0.0043665506 0.0037194244 0.0037297618 0.0035809022 0.00550574 0.0039478824 0.0031053782 0.0029006961 0.0036811756 0.003077467 0.0026939465 0.0028552113 0.004162902 0.0033203978 0.0035271472 0.00333487 0.004015076 0.0032190904 0.0035044048 0.0034599537 0.0065953103 0.0039478824 0.0036232858 0.003225293 0.0041566994 0.0032221917 0.003532316 0.003077467 0.0050023054 0.0037793817 0.003716323 0.003585037 0.00413189 0.0031291544 0.003552991 0.0034620212 0.0051615024 0.0036191507 0.003638792 0.003331769 0.003929275 0.0033917264 0.0033669164 0.0035509234 0.0046446286 0.003647062 0.003818664 0.0035085399 0.0041050124 0.0033824225 0.003684277 0.0037969553 0.005905801 0.0036284546 0.0033452075 0.002954451 0.004014042 0.003056792 0.0032718116 0.0030330159 0.004958888 0.0031612006 0.003192213 0.0030557583 0.003577801 0.0028386712 0.003085737 0.0032056517 0.0045019714 0.0032955878 0.0032221917 0.0031384581 0.0038951614 0.0033245326 0.0032883515 0.0036315557 0.004617751 0.0033007564 0.0034775273 0.0031560317 0.0040357513 0.003192213 0.0034640885 0.0033483088 0.008640064 0.0045857048 0.004020245 0.003532316 0.0043748203 0.0034279074 0.003024746 0.0034030976 0.0045422874 0.0038321028 0.0029616873 0.0031932467 0.003728728 0.0028045576 0.0028490087 0.0029854635 0.005227662 0.0032118543 0.0034826961 0.0030268133 0.0036646356 0.0031767068 0.0033121277 0.0032800816 0.004539186 0.0028469414 0.0030433533 0.0027053177 0.0035168098 0.0032180566 0.002990632 0.0031518969 0.005004373 0.0034113675 0.003273879 0.002799389 0.0037711116 0.0030092397 0.0030505895 0.0031911791 0.004139126 0.003003037 0.003121918 0.003024746 0.0036491295 0.002831435 0.0029286074 0.0030423196 0.0046735737 0.0031115806 0.003835204 0.00285211 0.0035643622 0.0031487956 0.0029895983 0.0031260531 0.0042590406 0.0031498293 0.0033390052 0.0031818755 0.0036573994 0.0031829092 0.0033245326 0.0033576125 0.006703854 0.0040543587 0.0037266605 0.0033462413 0.004118451 0.0032470017 0.0033059253 0.0032263265 0.004327268 0.0033390052 0.0031074458 0.0030888382 0.003655332 0.002987531 0.0030785007 0.0028035238 0.0042538717 0.003273879 0.0030764332 0.003008206 0.003709087 0.0030102734 0.002933776 0.0029430797 0.003979929 0.0031105469 0.0027342627 0.0026577655 0.0035416197 0.002954451 0.003590206 0.0028831223 0.0049640564 0.0032480354 0.0033917264 0.0029792609 0.003815563 0.003069197 0.0031994493 0.0028986286 0.004445115 0.0054323445 0.0034599537 0.0031363906 0.0037959216 0.0030764332 0.003258373 0.0032077192 0.00461465 0.0033203978 0.0034227388 0.0030557583 0.0037473354 0.0030836696 0.003319364 0.003237698 0.004351044 0.0030350834 0.0031818755 0.0028727849 0.004014042 0.0030960743 0.004241467 0.0045071403 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045757596 0.0002920367 0.0002708071 0.00026718254 0.00030239264 0.00024025716 0.00032724682 0.00030187482 0.00033294258 0.00034795864 0.0003298358 0.0003541722 0.0005177956 0.00015689207 0.0001879598 0.00073889433 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.099097274 0.062034503 0.062461164 0.055320248 0.06061574 0.059579115 0.054959342 0.054473132 0.060499754 0.053175535 0.052138392 0.05296376 0.056428846 0.05056481 0.056665998 0.05387922 4028.0 5.7030783 22972.0 0.017107783 0.01040397 0.00935922 0.00866272 0.013538221 0.012493471 0.01179697 0.011535782 0.012624064 0.00970747 0.008619188 0.008619188 0.013842939 0.010578095 0.01179697 0.009968657 0.016672472 0.011927564 0.008706251 0.0074873758 0.009794532 0.008445064 0.0077920947 0.00831447 0.0102733765 0.008445064 0.009620408 0.008793314 0.011492251 0.008923908 0.009620408 0.009272157 0.018065471 0.0108828135 0.01040397 0.009141563 0.010839283 0.008836845 0.010665158 0.008401533 0.014191189 0.011579314 0.009751001 0.008967439 0.0114487205 0.00935922 0.011622845 0.009576877 0.014757096 0.009576877 0.009968657 0.008967439 0.0120581575 0.00935922 0.009576877 0.009925126 0.013712346 0.009272157 0.010534564 0.009576877 0.011187533 0.009794532 0.01040397 0.010665158 0.01802194 0.010969876 0.009751001 0.008140345 0.013102908 0.008227407 0.00935922 0.00831447 0.015410065 0.009315689 0.008880376 0.00866272 0.011318127 0.008009751 0.009881595 0.008009751 0.01314644 0.008009751 0.008706251 0.008706251 0.0114487205 0.009446283 0.008096813 0.008009751 0.010926345 0.008923908 0.0120581575 0.008488595 0.011405189 0.00901097 0.010099251 0.008836845 6.5546265 0.0 0.0 0.0 14.0 967354.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0