Input: 0.2049496 0.00699587 0.0035098486 0.00319576 0.0072608595 0.002157463 0.002888892 0.00248166 0.006334479 0.001833988 0.00091988215 0.0014527496 0.0042311694 0.0019675659 0.00093143486 0.0034282578 0.0034535294 0.0008000231 0.0006707775 0.0013350566 0.0017892213 0.0021784022 0.0006556146 0.00065344846 0.0012989545 0.0010433515 0.0005278131 0.000594963 0.0010801756 0.0006180684 0.00051409425 0.0007993011 0.0019733422 0.0005704136 0.0010447955 0.0005552507 0.0016744166 0.000645506 0.0005668034 0.00050109753 0.0010996708 0.07888459 0.0045748614 0.006844963 0.003040521 0.002867953 0.0026896084 0.004154633 0.0032571338 0.002189233 0.002087425 0.004241278 0.0032874595 0.0016888574 0.0016946337 0.0025401455 0.0027271546 0.001868646 0.0015061807 0.0031170575 0.0023733538 0.0014823533 0.0014895737 0.0016520333 0.0060232785 0.003126444 0.0022997055 0.0023646893 0.0025733595 0.011798175 0.0033250058 0.006452172 0.0049994225 0.0032838495 0.0030975624 0.0013639383 0.0013668265 0.0064456733 0.0024007913 0.0016765827 0.0070868474 0.0022520507 0.0016289279 0.0020592653 0.0018051063 0.0028383492 0.0029827575 0.0022744338 0.0010058052 0.0015372285 0.00064406195 0.0014736888 0.0010086934 0.0031560478 0.0025516984 0.0021177507 0.0015726086 0.0018498729 0.0008845021 0.00122314 0.0034961298 0.0030657926 0.001630372 0.0010859519 0.0032535235 0.0017964417 0.004972707 0.00081374194 0.001988505 0.0010924503 0.0016578096 0.0020946453 0.0020029459 0.0009668149 0.0028751732 0.001988505 0.005995841 0.0052571916 0.0011646546 0.0013097852 0.001614487 0.0010216902 0.0009826999 0.0009299908 0.001036131 0.0017899434 0.0011227761 0.0010050832 0.0022542167 0.0009422655 0.0007386495 0.0049366048 0.002833295 0.004617462 0.0007148221 0.0007112119 0.0011480476 0.0057503465 0.0010137476 0.022876473 0.000781972 0.008931666 0.0006765538 0.0007184323 0.0016094327 0.00056463724 0.0006859404 0.0010852299 0.0014765769 0.00076753116 0.0007148221 0.000577634 0.0012303605 0.0006938829 0.00055452867 0.0007993011 0.0007776398 0.00061590225 0.0005581389 0.0006094039 0.0014411969 0.0019913933 0.0005660813 0.0012852356 0.00078702637 0.00059712917 0.0005465862 0.00054225395 0.0009552622 0.0005704136 0.0009494859 0.0008036333 0.00085562037 0.0005740238 0.00057618995 0.0006130141 0.0013386668 0.00060218346 0.00094009936 0.00066500116 0.00075886666 0.00073431723 0.00071193394 0.0008079656 0.0018534831 0.0008029113 0.0007083237 0.0007018253 0.0010606805 0.0009733133 0.0008700612 0.00082168437 0.0044059036 0.0023509704 0.0030816775 0.0023538587 0.0030080292 0.0016361483 0.0043452517 0.0050709047 0.0025170401 0.0017018542 0.0010845079 0.0013372228 0.019144958 0.0009776455 0.0019112466 0.0019415723 0.0039120265 0.0018462627 0.0013538297 0.0013740469 0.0015430049 0.0012123093 0.0014144813 0.0014924619 0.0030607383 0.0013689926 0.0011610443 0.0015812732 0.0018989719 0.0013877657 0.0010866739 0.001545893 0.0033033446 0.0011523799 0.0012007568 0.0011646546 0.0021177507 0.0025711935 0.0012419132 0.0013812673 0.010447233 0.0036116566 0.001342277 0.0024361715 0.004225393 0.0013783792 0.0013610502 0.0015235097 0.00421023 0.0021675716 0.0019098024 0.0027235444 0.0042535523 0.0030441312 0.0039336877 0.004179182 0.004751762 0.0036607555 0.0042419997 0.0045589763 0.010203183 0.008036333 0.009475364 0.11910452 0.0007315183 2.9636612e-05 0.027314113 2.1685325e-06 3.252799e-06 4.337065e-06 4.6984874e-06 3.252799e-06 5.4213315e-06 6.505598e-06 3.614221e-06 9.758396e-06 0.0 6.8670197e-06 0.0 2.1685325e-06 0.0006870634 3.6142208e-07 0.0013611156 9.360832e-05 1.9516792e-05 6.505598e-06 3.6142208e-07 1.0842663e-06 1.2288351e-05 0.0 0.0 0.0 1.4456883e-06 0.0 3.6142208e-07 3.6865054e-05 0.0014756864 1.734826e-05 0.0053931405 0.00018613238 9.1801216e-05 8.2404236e-05 5.4936158e-05 7.264584e-05 2.3492436e-05 0.0 7.589864e-06 9.0355525e-06 8.67413e-06 1.4456884e-05 3.614221e-06 0.0007011589 0.0136100715 3.75879e-05 0.025424961 0.0074319225 0.00032202707 0.00037587897 0.00028046354 0.00030214887 0.00038672163 0.00017962678 4.445492e-05 5.674327e-05 0.00031335297 0.0003288941 0.00027034373 0.025394239 0.015368752 7.806717e-05 0.008791954 0.0008652445 0.00045539183 0.0003549165 0.0002768493 0.0003599764 0.00034768807 9.0716945e-05 5.999607e-05 0.0001424003 0.0005840581 0.0007195914 0.00080560986 0.022512259 0.0137336785 0.00010878805 0.011462502 0.0034906147 0.0025245333 0.0004955097 0.00039611862 0.00048032997 0.0005912866 0.00033323118 0.0001456531 0.00041599682 0.00066682376 0.0011077587 0.0011283598 0.022874404 0.01733525 0.00016697701 0.013964988 0.0049471455 0.0051068943 0.0007297112 0.0011511294 0.0007918758 0.0005956236 0.0008551247 0.0003447967 0.0005226164 0.00056562555 0.0011641405 0.0010163189 0.015878718 0.04058228 0.00083235506 0.003693011 0.0041191275 0.0068319617 0.002352135 0.001366537 0.0012696758 0.0008099469 0.0011077587 0.0006198389 0.00089054403 0.0009259634 0.002534653 0.0019191513 0.018968154 0.021167047 0.00045358474 0.0012949754 0.0005714083 0.0020199881 0.00050671375 0.0020915496 0.0013943665 0.00049695536 0.00048936554 0.00041310544 0.0004745472 0.0009953565 0.0031042544 0.0022982832 0.012561587 0.00950251 0.00021685325 0.00047310154 0.00036395204 0.0013148536 0.0007524808 0.0027269297 0.0015067687 0.00039684147 0.0004499705 0.0004073227 0.00043695932 0.000454669 0.0016441091 0.0023828559 0.008057905 0.018483127 0.00036792769 0.0009454802 0.00087283435 0.0030214887 0.0012429305 0.0043301983 0.0031158198 0.001180766 0.001315215 0.0007882616 0.0010246317 0.0017641012 0.0029589627 0.0038162558 0.010286435 0.012717721 0.00040949124 0.0007206757 0.000670438 0.0027583735 0.00070549594 0.0024417676 0.0023149084 0.0012660616 0.0009566843 0.0007611549 0.0012353407 0.0020788999 0.0016769986 0.0021255233 0.0063906657 0.011903798 0.0010622195 0.0006104419 0.0009154822 0.0050859316 0.001923127 0.0016426634 0.0020170966 0.004843056 0.0006306816 0.00095307006 0.0009451188 0.0035108542 0.0010199331 0.0015505007 0.004317187 0.06132321 0.008362946 0.004735714 0.006750642 0.024573449 0.019163322 0.009252406 0.0110110855 0.037868362 0.0025151363 0.0040761186 0.0033832723 0.035325397 0.005614331 0.016159905 0.032638222 0.010914224 0.0018793949 0.0014735179 0.0017933764 0.004427059 0.003683614 0.0023228598 0.0023217755 0.0067914827 0.0006017678 0.001041257 0.00093030045 0.0057057706 0.0014294244 0.0029755882 0.0057426356 0.004879921 0.0039434764 0.004103225 0.004102502 0.0040519033 0.0040378077 0.004098888 0.004080817 0.004045759 0.003776138 0.003972029 0.003858181 0.0039940756 0.003924321 0.0040179295 0.0042499625 2174.0 97.06118 211011.0 0.0019335485 0.0002748672 0.0005592126 0.00020378084 0.00074403704 0.00020378084 0.00019430267 0.00023695447 0.0006539943 0.51360357 0.024747524 0.03461905 0.014449484 0.013786011 0.013667534 0.02070982 0.011212685 0.010155869 0.009378658 0.008625143 0.01576695 0.007255546 0.0078052804 0.0069569834 0.012174721 0.007099156 0.006691594 0.006682116 0.010084783 0.005350432 0.005885949 0.006691594 0.01087621 0.010843037 0.005990209 0.00593334 0.0085114045 0.0074593266 0.004824393 0.004985522 0.004919175 0.007558848 0.0033979272 0.004279398 0.0040424434 0.004137225 0.005179825 0.0035116652 0.0045258305 0.0037012289 0.0048670447 0.0037249243 0.00343584 0.0021989376 0.0022937192 0.0019051139 0.0010852515 0.0010283825 0.0013364232 0.00095255696 0.0013079887 0.00082934066 0.0013174668 0.0022652848 0.0010710342 0.005132434 0.0021799812 0.003236798 0.0037533587 0.008786272 0.002070982 0.0024074574 0.002066243 0.005037652 0.0011705551 0.0010236433 0.0040092696 0.0026870638 0.0043741795 0.0048954794 0.0024690656 0.00072981976 0.0053788666 0.0043220497 0.0076631075 0.0021799812 0.0017866368 0.0019240703 0.001540204 0.0010331215 0.0011800333 0.00095255696 0.00072981976 0.00070138526 0.0007629934 0.001113686 3.8921297 0.0 14.0 0.0 3.0 1384960.0 1392640.0 0.0 0.0 522.0 0.0 1.0 1.0 0.0 0.0 1467638700.0 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 12.0 0.0 5.0 1.0 5.0 1.0 500224.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 139776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -500224.0 0.0 720384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6993814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.508946 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3726053 0.0 5.265263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 139424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -500154.0 0.0 720896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 2.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 1.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 3.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 -2.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 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 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -2.0 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 1.0 -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 -2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 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 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -3.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 2.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 -4.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440.0 633324.0 646384.0 671744.0 0.0 0.0 7680.0 1303552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 573328.0 0.0 0.0 2172.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.0062676924 0.0037663667 0.0036747474 0.0038955107 0.003551962 0.0037306247 0.0038186314 0.003937852 0.0035983978 0.0036925704 0.003652541 0.003866657 0.0037396806 0.0038295179 0.0038263868 0.0041340007 0.003525902 0.0036340437 0.0036007583 0.0037703167 0.0036846222 0.00373785 0.003798448 0.0039234012 0.0037747966 0.003761887 0.0038068779 0.003900087 0.0038088046 0.0038961852 0.003989346 0.0041583744 0.0035299964 0.0035760952 0.003612849 0.003775471 0.003615402 0.0036922814 0.0037211352 0.003884576 0.0036558167 0.0038076486 0.003647435 0.0038373214 0.0037539871 0.0038829383 0.0038138144 0.0040503293 0.003736983 0.003755047 0.003710297 0.0038838536 0.0037492183 0.0037702206 0.0038171862 0.003967525 0.0037800472 0.0038598168 0.0038207509 0.0039809644 0.0040413216 0.0039878525 0.0041248 0.004264782 0.003561885 0.0037027341 0.0037416075 0.0038640557 0.0035861146 0.0038229185 0.0038251826 0.0039224857 0.0035747946 0.003708611 0.0036986398 0.0037922342 0.0036683409 0.0038009048 0.0037998932 0.0040197894 0.0036888132 0.003744883 0.0036929075 0.0037700278 0.0036292267 0.0037024934 0.0042781737 0.0039556753 0.00375365 0.003825905 0.003854518 0.0038762428 0.0038310592 0.003866657 0.00402056 0.004251295 0.003676578 0.003863285 0.0037719065 0.0039553377 0.0037296612 0.003916561 0.0038136216 0.0039854925 0.0038881407 0.003969259 0.0038124174 0.0038758093 0.0038884296 0.0038656453 0.0039030253 0.004236747 0.0038027833 0.0038208473 0.0039265323 0.003981109 0.004000136 0.0039479197 0.003862996 0.003994934 0.004117334 0.004018826 0.0039986908 0.004048788 0.0041704173 0.0041011004 0.0042535104 0.0044050054 0.0036433889 0.0037555767 0.0036036002 0.004008132 0.0036733986 0.0038741713 0.003774363 0.003969789 0.0036620786 0.0038174752 0.0037023488 0.004128365 0.00377629 0.0039413203 0.0038620324 0.0040568803 0.0035915577 0.0037399216 0.0036232055 0.0038268685 0.0037346228 0.0037852977 0.0037694979 0.003919114 0.0036978691 0.003740307 0.0037362606 0.0038554333 0.0038368397 0.0038744605 0.004017429 0.0042252345 0.003725615 0.003859094 0.003668919 0.003891609 0.0037319253 0.0038220515 0.0036800462 0.003897582 0.0037024934 0.0037280717 0.0036116447 0.003845751 0.003808612 0.003864441 0.003810298 0.004109482 0.003777735 0.0038367433 0.0037064916 0.0038906937 0.0038518687 0.0038719075 0.0038337568 0.0039801453 0.003798978 0.003813188 0.0037471952 0.0038790847 0.004020753 0.004053557 0.004195128 0.0044207084 0.0043567386 0.0038285062 0.0038455585 0.0040266295 0.0038249416 0.0038482558 0.0039450293 0.0040787975 0.003801001 0.0037963286 0.0038161746 0.0039359736 0.003813429 0.003840404 0.0038750865 0.0042450326 0.003943295 0.003844595 0.0038262904 0.003906397 0.0037849606 0.0038260496 0.0038501828 0.004004086 0.0039114067 0.0037946908 0.0039129 0.0039647794 0.0038204617 0.0038836128 0.004034963 0.004380583 0.003964731 0.0040041343 0.0038866475 0.0041062064 0.0039052411 0.003965213 0.0038377068 0.0041588563 0.004113962 0.003909721 0.0038552405 0.0040963315 0.0039155493 0.003991947 0.0039251833 0.004312037 0.004198404 0.0041404073 0.0040852525 0.0041711396 0.00408164 0.0041143955 0.0040696454 0.0042510536 0.0043502357 0.004279715 0.0042029317 0.004239734 0.004401585 0.0043332316 0.0045488407 0.0070595113 9.98144e-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 0.0007387807 0.00019165617 9.634594e-08 1.9269189e-07 4.817297e-08 2.1677837e-07 9.634594e-08 1.4451892e-07 7.225946e-08 3.6129728e-07 4.817297e-08 1.4451892e-07 4.817297e-08 7.225946e-08 4.817297e-08 7.225946e-08 5.332748e-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 0.0001666544 2.1677837e-07 4.817297e-07 2.1677837e-07 8.671135e-07 6.985081e-07 4.5764324e-07 3.8538377e-07 4.0947026e-07 9.634594e-08 6.5033515e-07 3.6852325e-06 7.5631565e-06 5.780757e-07 4.022443e-06 0.0002076496 7.4595846e-05 2.4086486e-08 2.4086486e-07 4.817297e-08 6.985081e-07 9.3937297e-07 9.634594e-08 8.671135e-07 9.152865e-07 1.2043243e-07 1.4451892e-07 2.9144649e-06 2.4086486e-07 1.2043243e-06 1.2765838e-06 0.00011298971 9.030024e-05 2.6976866e-06 3.1553298e-06 8.43027e-07 3.950184e-06 2.9867242e-06 1.9991783e-06 2.2400432e-06 1.3247568e-06 2.4086486e-07 1.1079784e-06 2.432735e-06 1.734227e-06 1.7101405e-06 2.4086487e-06 7.8184734e-05 6.1661403e-06 0.0 4.817297e-08 5.299027e-07 8.671135e-07 3.8538377e-07 2.4086486e-08 6.021622e-07 2.4086486e-07 4.817297e-08 4.817297e-08 1.9510053e-06 9.3937297e-07 3.3721082e-07 1.0116324e-06 3.6129728e-05 9.075788e-05 2.1677837e-07 6.840562e-06 3.8538377e-07 7.779935e-06 3.2516757e-06 2.2496779e-05 1.2187762e-05 9.634595e-07 3.1312433e-07 4.5764324e-07 2.4086486e-07 3.8538377e-07 3.6129728e-07 3.6129728e-07 9.87546e-07 0.00048216328 1.0766659e-05 2.7747632e-05 5.1785946e-06 2.9168736e-05 0.0003545049 8.9433124e-05 5.388147e-05 5.8289297e-06 4.2633083e-06 4.9136434e-06 1.5391264e-05 0.00036425993 1.7462702e-05 2.8422053e-05 0.0008744117 0.00038068692 1.240454e-05 4.785985e-05 8.071381e-05 4.3090724e-05 6.662322e-05 0.00028701458 0.0001441817 9.73094e-06 7.5390703e-06 7.298205e-06 1.37774705e-05 3.124017e-05 9.971805e-06 1.1922811e-05 0.00017783053 0.00062073284 3.4178724e-05 0.00014177305 4.2801687e-05 7.529436e-05 0.00016778646 0.00054912374 0.0003106675 1.9365534e-05 1.6426984e-05 1.4090594e-05 4.6294226e-05 0.00010128367 2.8879696e-05 3.6226076e-05 0.0003108602 0.00020206154 1.9004237e-05 3.8128906e-05 0.0001137123 4.236813e-05 3.0324887e-05 9.3792776e-05 7.074201e-05 1.4114681e-05 1.1176129e-05 1.3681124e-05 1.0935265e-05 1.4789102e-05 1.1489254e-05 1.596934e-05 3.764718e-05 7.6619115e-05 7.659502e-06 1.14651675e-05 3.1721902e-05 1.8522507e-05 1.2621319e-05 2.0256735e-05 1.5102227e-05 2.8807437e-05 9.73094e-06 1.0019979e-05 9.971805e-06 1.288627e-05 9.056519e-06 1.7318183e-05 5.354426e-05 0.000718813 0.00012683944 0.000103740495 0.00013066918 0.00017571091 0.00020117033 0.000103740495 0.00016270422 0.00040224433 3.1986852e-05 4.3162985e-05 5.9806745e-05 0.00024226189 5.6217857e-05 0.00016766603 0.00033167092 0.0007697078 0.00019440203 0.00015266016 0.0001842857 0.00032853967 0.00029698637 0.00015502062 0.00024994547 0.0004733958 7.4282725e-05 8.618145e-05 0.00010243983 0.0003236501 0.00012481617 0.0002723459 0.00045364487 0.058988743 0.060366467 0.05932533 0.061654057 0.05936596 0.060605623 0.06082057 0.06342598 0.06029498 0.060820617 0.060579054 0.062411387 0.06177979 0.062430874 0.06339337 0.06706396 94041.0 6.0084324 565039.0 0.010059482 0.008940976 0.0094524445 0.009434747 0.00940997 0.009604647 0.009546244 0.009733842 0.009270157 0.011105428 0.009401121 0.009854187 0.009572791 0.00999754 0.011896524 0.010133814 0.009567481 0.010100188 0.0102789365 0.010156821 0.010280706 0.010218764 0.010170979 0.010293094 0.009939137 0.010176289 0.009771007 0.010247081 0.01024885 0.010135584 0.010464764 0.010342649 0.009059552 0.009774546 0.009606416 0.009845338 0.009748 0.010447066 0.010096648 0.010261239 0.009176358 0.009636503 0.009792244 0.009678978 0.009650662 0.009836489 0.0100417845 0.009970993 0.009976302 0.009721453 0.009758619 0.010303713 0.009726762 0.009836489 0.010059482 0.009979842 0.009602877 0.009850647 0.009990461 0.009749769 0.010659441 0.009857726 0.010137353 0.011717775 0.009268387 0.0127442535 0.011126665 0.012595591 0.011726624 0.016436033 0.010477153 0.011114277 0.010969155 0.01285575 0.009884274 0.0097869355 0.012586742 0.010765629 0.0119283805 0.013565435 0.010907211 0.009763928 0.013508802 0.013331823 0.014206099 0.010468304 0.009940906 0.009960375 0.010324951 0.01092668 0.010349728 0.009956835 0.010224073 0.00999754 0.01041698 0.010526707 6.5761123 2.0 0.0 0.0 346.0 20759794.0 360448.0 1.0 0.0 95.0 1.0 1.0 0.0 0.0 0.0 1501514500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 14.0 0.0 6.0 0.0 6.0 0.0 125440.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -125952.0 0.0 105984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.664911 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.113452 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9306899 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.550617 0.0 3.2990375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45250.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -125580.0 0.0 106496.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 174028.0 105660.0 245760.0 0.0 0.0 0.0 0.0 6072.0 352256.0 28.0 171552.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 171584.0 0.0 0.0 392.0 131072.0 0.0 0.0 0.0 0.0


Input: 0.022092998 0.0036693588 0.003987084 0.0034048338 0.0031728204 0.004386088 0.0032740491 0.0028026334 0.0030398192 0.003368628 0.0039922562 0.0034447343 0.0035334018 0.00413043 0.0042538256 0.0046476573 0.0043543153 0.0050917338 0.004335104 0.0045050504 0.003339811 0.00479987 0.0042693424 0.003155826 0.004009251 0.004363921 0.0039471835 0.0043690936 0.0035334018 0.0038045768 0.0039095 0.0037558095 0.0039427504 0.0062562344 0.004713419 0.004934349 0.004078707 0.0045538177 0.0044718 0.0033560668 0.0051441956 0.005025972 0.004558251 0.0042819036 0.003503846 0.004813909 0.0048789317 0.0036065525 0.0045870678 0.0057360516 0.004214664 0.005916342 0.0036634475 0.0043609655 0.0045183506 0.0031728204 0.004414905 0.004792481 0.0061934283 0.003652364 0.00370187 0.003773543 0.005725707 0.005139762 0.0028927787 0.0037351204 0.004330671 0.0040631904 0.003801621 0.003639064 0.004708247 0.004216881 0.0028728286 0.0040920074 0.0032710936 0.0042759925 0.0029718406 0.0043402766 0.0035496575 0.0047703143 0.0043557934 0.003524535 0.0033981837 0.0033494167 0.0036693588 0.0038910275 0.0035023682 0.003673053 0.0034277397 0.003625025 0.0031587814 0.0029578016 0.0042183585 0.0035873412 0.0036870923 0.00357478 0.0041200854 0.004757014 0.0042464365 0.004531651 0.003595469 0.0052646357 0.0056717675 0.004520567 0.0034011393 0.00425752 0.004185847 0.0037439873 0.0034558177 0.004136341 0.004531651 0.0045966734 0.0042405254 0.004394216 0.0042479145 0.0041622026 0.004158508 0.0038932443 0.0041562915 0.004131169 0.0042774705 0.004957994 0.004128952 0.003831177 0.00369522 0.003766893 0.00456564 0.0035186238 0.0029016456 0.0042479145 0.0031868594 0.0033782336 0.0035629577 0.003816399 0.0030568137 0.0027353938 0.0031912928 0.0039597447 0.0039996454 0.0031432647 0.0031055808 0.0037794542 0.0039346223 0.004199147 0.0028041112 0.0035880802 0.0038629496 0.0028809565 0.0035452242 0.003975262 0.0036715753 0.0035334018 0.003304344 0.004129691 0.0033102552 0.0037513762 0.0032504045 0.003026519 0.0034816791 0.003489807 0.0031735594 0.0049358266 0.004392738 0.003346461 0.003796449 0.003839305 0.0033176441 0.0032304544 0.0032371045 0.004359488 0.0033671502 0.004905532 0.003589558 0.0031255311 0.0038998944 0.002997702 0.003687831 0.00558975 0.0034572955 0.0040631904 0.003803099 0.003623547 0.0032548378 0.0028883454 0.0036597531 0.0043380596 0.004060974 0.0029090345 0.003325772 0.0030154355 0.0038784663 0.003497935 0.0030316913 0.0041888026 0.00325336 0.0034491676 0.0033878393 0.0038422605 0.0033021274 0.00289204 0.004531651 0.0040809237 0.0034772458 0.0034122227 0.0031728204 0.0038223101 0.0038082711 0.0032097653 0.0032038542 0.0036132026 0.0032725714 0.0038127045 0.0028898232 0.0033154273 0.0035836468 0.002741305 0.0036434974 0.004550862 0.00334055 0.0028905622 0.0039841286 0.0031809483 0.003859255 0.004227964 0.003097453 0.003210504 0.0037085202 0.004165897 0.0029186402 0.0036782254 0.003788321 0.0038119657 0.0028898232 0.003939795 0.0034196118 0.003153609 0.0029622351 0.0031846429 0.005170057 0.003952356 0.00289204 0.0035223183 0.0039434894 0.003953095 0.005133112 0.0035577854 0.0045397785 0.0030235634 0.003446951 0.004564162 0.0037188649 0.002862484 0.0026895823 0.0026541152 0.0036124636 0.002785639 0.0045454544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00073168206 1.8495502e-06 1.4796401e-06 3.6991003e-07 7.3982005e-07 2.5893703e-06 2.5893703e-06 2.2194602e-06 2.2194602e-06 1.4796401e-06 2.2194602e-06 1.8495502e-06 2.5893703e-06 7.3982005e-07 1.8495502e-06 1.1097301e-06 0.0021110766 1.0727391e-05 1.1837121e-05 3.6991005e-06 1.3316761e-05 6.6583807e-06 1.8125593e-05 9.247751e-06 9.617661e-06 3.3291903e-06 1.0357481e-05 8.138021e-06 6.6583807e-06 9.987571e-06 1.5166312e-05 2.4783973e-05 0.000674346 6.2884706e-06 4.8088305e-06 2.9592802e-06 4.0690106e-06 4.8088305e-06 3.3291903e-06 6.2884706e-06 6.6583807e-06 5.1787406e-06 6.6583807e-06 7.768111e-06 5.5486507e-06 5.9185604e-06 7.768111e-06 5.1787406e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00050751655 1.3686671e-05 1.9235322e-05 1.7755681e-05 1.4056582e-05 1.5906131e-05 1.6276043e-05 1.4426491e-05 1.7385772e-05 1.7755681e-05 2.1454782e-05 1.4796402e-05 1.5906131e-05 2.1824691e-05 1.5536221e-05 1.4056582e-05 0.00047015565 8.507931e-06 2.5153882e-05 1.5536221e-05 2.8852983e-05 1.8125593e-05 6.436434e-05 2.6263613e-05 1.2207031e-05 1.1837121e-05 1.2946852e-05 1.5536221e-05 1.3316761e-05 9.987571e-06 1.4056582e-05 1.0727391e-05 0.0003240412 1.4796401e-06 1.8495502e-06 3.6991003e-07 3.3291903e-06 1.2207031e-05 3.6991005e-06 9.247751e-06 6.2884705e-05 4.4389203e-06 1.6276043e-05 1.7015862e-05 1.4796402e-05 5.2897136e-05 5.2527226e-05 0.0001805161 0.0022771661 0.0002060399 0.00012244022 0.00013279771 0.00013094816 0.00015314276 0.000176817 0.00014574456 0.0002726237 0.00015610203 0.00016497988 0.00018384529 0.0002245354 0.00022971413 0.00021047881 0.00051565457 0.0034901013 0.00091626716 0.00010764382 0.00012613932 0.00012465968 0.00028557054 0.0003022165 0.00023378314 0.0003869259 0.00026263614 0.00037730823 0.00028889973 0.00048384233 0.0003173828 0.00046941583 0.0009181167 0.003692442 0.0015173709 0.00033994732 0.000250799 0.00016128078 0.0002766927 0.000456469 0.00029555813 0.00037841796 0.00039136483 0.0005855676 0.00055856415 0.00065806997 0.0006077622 0.0007098574 0.0012410482 0.0013216885 0.0013472124 0.00027743253 0.0001764471 6.473425e-05 0.00010875355 0.00027484316 0.0001882842 0.00039543383 0.00032330138 0.00047126538 0.0005126953 0.000526382 0.00059444545 0.0006162701 0.0011341441 0.056797467 0.061538972 0.07123505 0.07286303 0.060988918 0.056720156 0.067701675 0.06522365 0.054663457 0.05443966 0.05785652 0.057461087 0.05493534 0.054287996 0.054951984 0.05288049 9506.0 5.7906585 55046.0 0.009809977 0.011553973 0.01017331 0.010899975 0.019111289 0.020764451 0.009373978 0.008283981 0.020273952 0.011499473 0.010209643 0.00995531 0.007993314 0.010391309 0.010500309 0.009628311 0.010809141 0.012316971 0.010863641 0.020800784 0.009591978 0.010736475 0.021618282 0.008919813 0.010554809 0.011444974 0.010409475 0.009428478 0.008102315 0.009646477 0.009809977 0.008792646 0.006848817 0.008247647 0.009610144 0.0075573158 0.010645642 0.009192312 0.008193147 0.01894779 0.0074664825 0.009355811 0.0072303163 0.006449152 0.008320314 0.008810813 0.009373978 0.00855648 0.017040294 0.007066817 0.008992479 0.007793482 0.008810813 0.010972641 0.007357483 0.007575482 0.0071758167 0.008901646 0.008701813 0.007066817 0.0078116483 0.007629982 0.0076118154 0.008810813 0.01883879 0.009355811 0.010336809 0.020528285 0.009991643 0.010500309 0.011117974 0.010591142 0.009010646 0.01028231 0.0092104785 0.008629147 0.0096646445 0.009737311 0.011753806 0.009192312 0.008065981 0.009809977 0.010845475 0.009719144 0.00871998 0.010209643 0.010645642 0.0103186425 0.008847146 0.010591142 0.009046979 0.01905679 0.009174145 0.008193147 0.011027141 0.008592813 6.5188675 0.0 0.0 0.0 14.0 1353370.0 3784704.0 0.0 0.0 8.0 0.0 1.0 0.0 0.0 0.0 1308078100.0 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 1.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 176128.0 4096.0 4096.0 6.0 1.0 4.0 6.0 6.0 282624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 23.560469 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9740806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.185817 0.0 0.0 0.0 0.0 0.0 0.0 2863104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 544.0 2908160.0 40796.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.39503214 0.007773501 0.0012762665 0.013654839 0.045641016 0.001119934 0.010227652 0.0013396082 0.0009339522 0.00089486904 0.0009204752 0.00079783506 0.00069810566 0.0012506604 0.012104991 0.00068193336 0.0007964874 0.0010431154 0.0005768132 0.0007560565 0.00081805047 0.000665761 0.00051616697 0.0007654904 0.0005107762 0.00096360146 0.0007223642 0.00068328105 0.0004299145 0.0005242531 0.002129357 0.0008099643 0.046269044 0.0010040323 0.0015498485 0.0011172387 0.00047438842 0.002107794 0.0008625244 0.0020053692 0.0011307156 0.00096764456 0.0012466173 0.00041239447 0.00208084 0.0017520026 0.0031765157 0.0020862308 0.010844897 0.0033355434 0.0031778633 0.0008059212 0.0020255847 0.004650893 0.0012237065 0.0014366421 0.0032439004 0.001119934 0.002602398 0.0022290866 0.003024226 0.005556544 0.0047856625 0.0015107654 0.0035484792 0.004219631 0.0040161293 0.0021765265 0.002729081 0.0018436459 0.001411036 0.0008760013 0.0020255847 0.0021091418 0.0009096937 0.0014272083 0.0015929748 0.0011266725 0.0017910858 0.0015026792 0.002125314 0.00048786536 0.0013921682 0.0018571229 0.0019015968 0.000956863 0.0020067168 0.00086387206 0.00030188353 0.00067923794 0.00037196366 0.00033961897 0.00047169303 0.00018463413 0.00020619723 0.00046225917 0.00031670817 0.02591751 0.00516706 0.007171082 0.010649481 0.032381054 0.003105088 0.005207491 0.0034581837 0.02270865 0.0028611552 0.007954092 0.014048366 0.007409624 0.020404093 0.01785695 0.006059234 0.0007169734 0.019331329 0.015017359 0.020236978 0.009676445 0.0057344395 0.0019191168 0.0005795086 0.002680564 0.003654947 0.0001671141 0.0039312243 0.00037735442 0.0011253248 0.00034231436 0.0003113174 0.0002385419 0.00027762505 9.2990915e-05 0.0002681912 8.7600136e-05 0.0003113174 3.5040055e-05 0.00024932346 0.00022371726 0.00025201886 0.00037196366 0.00024528036 0.00025336654 8.086166e-05 0.00021024032 0.00044608684 0.00020080646 0.00017654797 0.00034096668 0.00020889263 0.00016980949 0.00035309594 0.00011051094 0.00018598183 8.490474e-05 0.00021967418 0.00034770515 7.9513964e-05 6.199394e-05 6.0646245e-05 0.00012398788 0.0003099697 0.0003854406 0.00013611713 0.00029379738 0.00023180342 0.00023315112 9.7034e-05 9.2990915e-05 0.00024123729 0.00016576641 6.603702e-05 7.681858e-05 0.0005296439 0.00039083135 0.00034500976 0.0007695335 0.00044339144 0.0013342174 0.0005350347 0.00037331134 0.0005269485 0.0010646785 9.972938e-05 0.0006751949 0.0005107762 0.0010970233 0.0006900195 0.00044069605 0.0005646839 0.0008005304 0.0001415079 0.0012425742 0.00082883204 0.0007506658 0.00063341635 0.0010633308 0.0010350293 0.0008167028 0.00048382228 0.0006724995 0.0006010717 0.00044204376 6.468933e-05 0.00020484954 0.0005013423 0.00045956377 0.00020350186 0.00016037562 0.0003827452 0.00026145272 0.00025471422 8.355705e-05 9.7034e-05 0.0004272191 0.00035040054 0.000118597105 0.00011185863 0.00022506496 9.2990915e-05 0.00013207404 0.0003800498 0.00020754493 9.4338604e-05 7.9513964e-05 0.00045686838 0.001640144 0.0001442033 0.00037465902 0.0011131956 0.00040430832 0.00022506496 0.00027762505 0.00029110198 0.0016684456 0.00022910805 0.00018732951 0.00014824638 0.0009056506 0.00016037562 0.00037061595 0.00020619723 0.0001199448 0.00013611713 0.0008005304 0.00031401278 0.00031670817 0.00047438842 0.00014689869 0.00023315112 6.603702e-05 0.00028166812 0.00013476943 0.00089891214 0.00026414808 8.8947825e-05 0.00015633255 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010234321 0.00016411113 0.00016140971 0.00013912302 0.00016411113 0.00014722727 0.00015668223 0.00014114908 0.0001526301 0.00014857798 0.000118187025 0.00013236947 0.00014520121 0.00014655192 0.00013101877 0.00016546184 0.0065475614 0.00025190721 0.00066184736 0.00068818615 0.00021408735 6.618474e-05 0.0017674025 0.00058148016 3.781985e-05 3.039095e-05 4.5248747e-05 4.119662e-05 3.9845912e-05 3.1066305e-05 3.039095e-05 3.039095e-05 0.30976346 0.0057378113 0.04132021 0.027905645 0.02016068 0.005167137 0.12719692 0.05988435 0.00019382672 0.00012831735 0.00020328168 0.0007921907 0.00056594703 0.00013236947 0.0027946166 0.0010961002 0.13208987 0.0021212883 0.017339049 0.011911902 0.008135995 0.0036995916 0.045106247 0.023521245 8.239324e-05 0.0006800819 0.0010542283 0.005435928 0.0034328266 0.00010400458 0.002764901 0.0011649864 0.009011254 0.00023097121 0.0012568346 0.0012649389 0.0007732808 0.00033835258 0.0018957199 0.0010522022 4.727481e-05 9.5224976e-05 0.00023367263 0.0009002474 0.00061254646 3.4443077e-05 0.00016681255 6.686009e-05 0.012180017 0.0020058027 0.002637259 0.0010393704 0.00068886153 0.00031539053 0.004507991 0.0015857322 4.997623e-05 5.8755835e-05 0.00046464385 0.00039305628 0.00038022455 0.0003559118 0.000758423 0.00024110153 0.0005882337 2.431276e-05 0.00010332923 0.00023299728 0.00011008277 4.997623e-05 1.9585279e-05 1.823457e-05 3.3767722e-06 2.5663468e-05 2.6338823e-05 5.470371e-05 6.686009e-05 3.9845912e-05 1.2831734e-05 6.7535443e-06 0.0013486828 0.000107381355 0.0002478551 0.0011629603 0.00019044995 0.000266765 0.0005085419 0.0003174166 0.0001364216 7.8341116e-05 0.00019450208 0.00017559215 0.00031066305 0.00016478648 0.00017424145 0.00014790263 0.006955475 0.00048085235 0.0023110628 0.004616723 0.001282498 0.00206726 0.0019983738 0.0018315612 0.00096845825 0.0007084468 0.0011399983 0.0018437175 0.002591335 0.0014263486 0.0008799868 0.0007097975 0.005295454 0.0012169887 0.0018774853 0.0021739658 0.0013817751 0.0021935513 0.0031815947 0.002332674 0.0015350806 0.0010495008 0.0006537431 0.00060984504 0.0006017408 0.0006962904 0.000714525 0.00076517655 0.0006530677 0.00028432423 0.00033700187 0.00038900416 0.00019180066 0.00023907547 0.00050651585 0.00034578147 0.00021408735 0.00012426522 0.00017086467 0.00012223916 0.00013844766 0.00011278419 0.00013912302 0.00018099499 654.0 11.460244 7495.0 0.039626416 0.0021347564 0.0008005337 0.00093395595 0.0016010674 0.0016010674 0.0020013342 0.001467645 0.011074049 0.003335557 0.0012008005 0.00093395595 0.0036024016 0.008939293 0.018945964 0.017878586 0.13062042 0.020947298 0.012541695 0.0074716476 0.002801868 0.006671114 0.0030687125 0.0017344897 0.005603736 0.00587058 0.010006671 0.0020013342 0.0021347564 0.00026684455 0.0018679119 0.0018679119 0.003335557 0.0036024016 0.0044029355 0.008939293 0.0074716476 0.0032021347 0.0025350233 0.0020013342 0.002401601 0.0025350233 0.0013342228 0.0038692462 0.0010673782 0.006671114 0.012941961 0.009072715 0.006004003 0.010006671 0.010406938 0.016811207 0.0073382254 0.00293529 0.0076050702 0.01587725 0.0022681789 0.012541695 0.0036024016 0.006004003 0.008272181 0.0030687125 0.00293529 0.005603736 0.0025350233 0.023082055 0.008939293 0.028418945 0.009206138 0.0281521 0.01694463 0.019479653 0.010940627 0.031087391 0.0068045366 0.013742495 0.011874583 0.020013342 0.02988659 0.030420281 0.0152101405 0.0017344897 0.030020013 0.02508339 0.03629086 0.014142762 0.0054703136 0.007071381 0.0016010674 0.014543029 0.0026684457 0.001467645 0.007204803 0.0005336891 0.009072715 0.008138759 5.748621 0.0 38.0 0.0 1.0 742008.0 733184.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1540567400.0 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 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 0.0 0.0 14.0 14.0 6.0 0.0 6.0 0.0 0.0 512.0 4096.0 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 0.0 512.0 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 724480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.7692957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6340857 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 724248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 724248.0 8192.0 0.0 0.0 16504.0 725504.0 0.0 0.0 84.0 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


Input: 0.118051544 0.03157358 0.04734616 0.015627926 0.009051282 0.008223389 0.0031875803 0.0029680145 0.0065533966 0.0036990398 0.003919897 0.0034497678 0.0058792 0.009012534 0.0058094556 0.0042027496 0.013641501 0.0010138778 0.0014607591 0.0009480081 0.0043784026 0.0072534243 0.0037532854 0.03270628 0.0044610626 0.0009376756 0.0017746091 0.0010048369 0.002382936 0.0026296247 0.002293818 0.001861144 0.007103603 0.0028931038 0.0066360566 0.0013419351 0.0020367966 0.0030674648 0.0031333347 0.0032353683 0.0020522955 0.007401954 0.002438473 0.0024462226 0.0025133837 0.0014878819 0.002172411 0.0017991489 0.0013445183 0.0019773848 0.003182414 0.002862106 0.0026309162 0.0047297077 0.003049383 0.001671284 0.0033761486 0.0021698277 0.002610251 0.003665459 0.001458176 0.0021117073 0.0008046445 0.0011365764 0.0026954943 0.004056803 0.0021594954 0.0027859039 0.0022615287 0.0045656795 0.0034110209 0.00097125623 0.0033051127 0.004308658 0.00216337 0.0018366042 0.0033606498 0.0043590292 0.0033025295 0.0021879096 0.011139741 0.0022654035 0.0034652667 0.00447527 0.0015860408 0.0068259165 0.0070661474 0.004133005 0.008867879 0.0048524067 0.0020225896 0.0031643321 0.0033606498 0.0034639752 0.004716792 0.002174994 0.003363233 0.015351531 0.0013122292 0.0033025295 0.004719375 0.008776179 0.00262575 0.0020187148 0.0060018986 0.0050784303 0.0035673003 0.0021943676 0.0043629035 0.003150125 0.0039689764 0.005583432 0.0027691135 0.0038191553 0.0046690046 0.004879529 0.009226934 0.009124901 0.0034071463 0.0026270414 0.0017358622 0.0028840627 0.0024694707 0.002216324 0.0020471292 0.0016079973 0.0012360269 0.0026128343 0.0024513889 0.0011636993 0.0020277556 0.0047852453 0.0021582036 0.010156861 0.0015434192 0.00057474605 0.0010500416 0.0041381717 0.0006225339 0.009111985 0.0009854635 0.0071126437 0.0009299262 0.00066903024 0.0020587533 0.0007710638 0.002202117 0.00053599913 0.0010681235 0.0009480081 0.0007026109 0.0005075847 0.0007090687 0.0008240179 0.00048433655 0.00040296803 0.002463013 0.0010035454 0.005775875 0.00071165187 0.0006858206 0.001641578 0.0006315749 0.0010048369 0.0021414133 0.002782029 0.0007206928 0.0007026109 0.0009079696 0.0011159114 0.0020432544 0.0032340765 0.0023906853 0.0016325371 0.0074897804 0.0014078049 0.0028543568 0.0018107729 0.0008485576 0.0013509761 0.001458176 0.0029977204 0.0023222324 0.0015782914 0.0016131636 0.0016131636 0.0006070351 0.0014129712 0.002463013 0.0018443536 0.001490465 0.0012024462 0.005695798 0.00091055274 0.0013651833 0.002264112 0.0014349278 0.0003745536 0.0012851063 0.0019631775 0.009170106 0.0012954389 0.0004714209 0.00044817277 0.0069124512 0.00043009085 0.0009195937 0.00088084675 0.0010435838 0.0021814518 0.0014646337 0.0006018689 0.0013251448 0.0005527895 0.0010849138 0.001057791 0.0013483929 0.0008640564 0.00091055274 0.0012360269 0.0011520752 0.0010009622 0.00074264937 0.00067548803 0.0015821661 0.00078656257 0.00075814815 0.0020096737 0.0013742242 0.00055666413 0.00068323745 0.0009635069 0.008590193 0.0014258869 0.0008782636 0.0021491628 0.00258442 0.00081239385 0.0007994782 0.0009183021 0.0028569398 0.0009402587 0.000764606 0.0011249523 0.009150732 0.001591207 0.0018701849 0.0019941751 0.0034239367 0.001987717 0.0012037378 0.0028840627 0.003218578 0.0036602928 0.002836275 0.046288367 0.025100242 0.006630924 0.002679403 0.0052695572 5.173841e-06 0.0039954986 0.0026483599 1.0347682e-05 0.0 4.527111e-05 0.0012973406 0.0 0.0 0.0 0.0 0.0 0.0037988927 0.002619257 0.00024705092 0.0012501293 0.000122232 0.0037549152 1.7461714e-05 6.4673014e-07 4.527111e-06 2.5222475e-05 0.0012643574 6.4673014e-07 5.173841e-06 3.880381e-05 2.1988824e-05 7.3727235e-05 0.0096556805 0.006506105 0.0042050392 0.0014253932 0.0026211971 0.0040420634 0.0003388866 0.0012818191 2.1988824e-05 7.566743e-05 0.0012113255 8.79553e-05 5.3031872e-05 8.6661836e-05 1.4228063e-05 0.0014855391 0.017358236 0.007863591 0.003604227 0.0015890159 0.0033351872 0.0043195104 0.0030519194 0.0015062345 0.00023217611 0.0015017074 0.0015592664 0.00047405317 0.0024879707 0.00015909561 0.00010153663 0.0011873965 0.010487376 0.004704315 0.0034923428 0.00035570157 0.0014338007 0.004250957 0.0020100372 0.0045161163 0.00013387314 0.0001972527 0.0030661474 0.00016879657 0.0010625776 7.3727235e-05 3.880381e-05 0.0024187707 0.011172263 0.008487039 0.005993248 0.002789347 0.004085394 0.003352649 0.0021536113 0.0029361548 0.00016168253 0.00336235 0.0027330816 0.00058270385 0.0015838421 0.00029361548 0.00015198159 0.0004921616 0.017504398 0.005495266 0.006453073 0.0027408423 0.006959463 0.0041345456 0.005698986 0.0011304843 0.00039385865 0.0017920892 0.0008614445 0.0020022765 0.0024265314 0.00082781457 0.00055942155 0.0006221544 0.035641946 0.008707575 0.004357021 0.0017862687 0.00414166 0.0031625105 0.014768083 0.0061316486 0.0010826263 0.00118869 0.0019951626 0.0020229719 0.0012494826 0.00090348197 0.00081487995 0.0007877173 0.027220225 0.007079755 0.001531457 0.0021898283 0.003379165 0.0028870034 0.007503363 0.004498655 0.0013917632 0.00035699503 0.0020372 0.0031780319 0.00047987376 0.00094293256 0.0006913545 0.00085756416 0.021173945 0.0017060741 0.0035039838 0.0019958091 0.0030383382 0.003369464 0.011275739 0.008609918 0.001627173 0.001032828 0.002938095 0.0045995447 0.0010011382 0.0012216732 0.0009791494 0.002125802 0.014111651 0.0043188636 0.003347475 0.0031088318 0.0027279076 0.0024064828 0.0057591316 0.0047942107 0.0015010607 0.0013807688 0.0025772196 0.0020313794 0.0013555464 0.0009358185 0.0008271678 0.0017966164 0.007826728 0.0018341267 0.0023301686 0.0016239394 0.0015793149 0.0026722888 0.0035026905 0.002856607 0.0013781819 0.0018270126 0.0019201417 0.001797263 0.0012016246 0.0011181964 0.0015036475 0.002114161 0.017887263 0.004455324 0.004004553 0.0030376913 0.0041623553 0.007873939 0.0068074814 0.0044495035 0.008199245 0.004569795 0.0029258071 0.0039321193 0.0038189415 0.002815863 0.005525662 0.017521212 0.051176403 0.010200228 0.005105288 0.007945727 0.008190837 0.020106839 0.008386796 0.011762728 0.028738746 0.00336429 0.0035783579 0.00594539 0.015789917 0.00669301 0.013289011 0.048733056 0.007840957 0.0019854615 0.00091965025 0.0016724442 0.0019485978 0.0033222528 0.0014726045 0.002899938 0.004680386 0.00045012418 0.0006092198 0.00067324605 0.0033461817 0.0011505329 0.0023896678 0.005698339 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4339.0 35.49274 154003.0 0.016681492 0.0091556655 0.030746154 0.0040518693 0.0065063667 0.010766024 0.012993254 0.011727044 0.0051297704 0.033577267 0.008623209 0.008947877 0.008577755 0.004116803 0.0056492407 0.0060063764 0.002032428 0.006292085 0.011428349 0.004123296 0.009753057 0.016843827 0.01262313 0.0064998735 0.011525749 0.0033960377 0.011025759 0.0072855726 0.0048960084 0.0067401286 0.0021622956 0.0037012266 0.007805043 0.016584093 0.0076816687 0.009473842 0.0037272002 0.006818049 0.010915372 0.0024480042 0.012817932 0.016856814 0.009830978 0.005908976 0.013791939 0.012811439 0.011363415 0.007551801 0.015603592 0.006201178 0.010798491 0.0053245714 0.0034609716 0.023739798 0.017064603 0.0043635513 0.033914924 0.013123121 0.00831802 0.011830938 0.010227074 0.010649143 0.017200964 0.0049999026 0.013571165 0.06126504 0.0037336934 0.010019286 0.011876392 0.025603397 0.005876509 0.0067920755 0.008343994 0.013765966 0.0028765674 0.008545288 0.011116667 0.010519275 0.009889417 0.011889379 0.0059219627 0.015434764 0.011077707 0.012558197 0.016499678 0.0095842285 0.010636156 0.007240119 0.0041622566 0.008506328 0.0093115065 0.007675175 0.0008766063 0.0012791959 0.0022596961 0.0044999123 6.262669 0.0 0.0 0.0 3.0 774255.0 782336.0 1.0 0.0 385.0 0.0 1.0 0.0 0.0 0.0 1091599500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 290816.0 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 -290816.0 0.0 475136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.118031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.326475 0.0 6.90949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -287610.0 0.0 471576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 1.0 -1.0 -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 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 0.0 -1.0 1.0 -1.0 -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 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 1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 1.0 -2.0 -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 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 1.0 1.0 0.0 -2.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 2.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 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 2.0 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 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 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 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 -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 0.0 360.0 282952.0 471576.0 307200.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 5760.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 60664.0 380.0 592.0 1664.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.008302693 0.003870672 0.0037329337 0.0037551238 0.0038550792 0.003671961 0.0036841554 0.0038047016 0.003828291 0.0036767586 0.0036981492 0.003756923 0.003810499 0.00371854 0.0037867096 0.004052591 0.0037787133 0.0037539243 0.0037081446 0.0037689176 0.0037487266 0.0038027025 0.0037493263 0.0038684732 0.003716541 0.0037647195 0.0037303348 0.0037933066 0.0038124982 0.003842285 0.0038676735 0.0040118094 0.0037289355 0.0037413298 0.0037483268 0.0037931066 0.0038518806 0.0037907078 0.0037621206 0.0038388863 0.0037067453 0.0038065007 0.0037519252 0.0038892638 0.0037697172 0.0038344883 0.0038842661 0.003929446 0.0037173405 0.0038067007 0.0037935067 0.004165141 0.0037693174 0.0038246927 0.003819295 0.0038766696 0.0037313343 0.0038067007 0.0038120982 0.003999015 0.003879868 0.003949837 0.003962431 0.0040625865 0.003655968 0.0039174515 0.0037037467 0.0038322893 0.0038578778 0.003945039 0.0038906632 0.003913653 0.0038164963 0.003817496 0.003758922 0.0038758698 0.003801303 0.003857478 0.0038398858 0.0039168517 0.0038424847 0.0038378867 0.0038200947 0.0039394414 0.0038644748 0.0039738263 0.0039016583 0.0039308453 0.0038498815 0.0038550792 0.003806301 0.0039612316 0.003873271 0.0039140526 0.003951836 0.0041249585 0.0036749595 0.0038502812 0.0037759144 0.0038432844 0.0038288909 0.003967429 0.0038894638 0.0039008586 0.0037785133 0.0038712719 0.0038646748 0.0038364874 0.0039172512 0.0038942616 0.0038928622 0.0040335995 0.0037465275 0.0037937064 0.0039444393 0.0040246034 0.0041047675 0.0040609874 0.003848482 0.003953835 0.0038654744 0.0038892638 0.0038796682 0.0040262025 0.004030201 0.0040965714 0.00407718 0.004129157 0.0036477717 0.0038232934 0.0036881536 0.0041615423 0.0037517252 0.00392025 0.003821694 0.0039012586 0.0037777135 0.0040272023 0.0038546792 0.0046963035 0.0037911076 0.0041143633 0.0038031023 0.0039390414 0.0038426847 0.0037695172 0.0038118984 0.0038566785 0.0038106989 0.0038692728 0.0038518806 0.0039486373 0.0038170961 0.003848682 0.003765519 0.003870872 0.0038470826 0.0039146524 0.0039194506 0.0040623867 0.0035764035 0.0037631202 0.0037617208 0.003881867 0.0037739153 0.0038168961 0.0037935067 0.00389786 0.0037565231 0.0037911076 0.0038614762 0.0038584776 0.003837287 0.0038834664 0.0038426847 0.003949837 0.0037445284 0.0038051014 0.003819295 0.003895261 0.0038049014 0.0039124535 0.003881867 0.0039618313 0.003925048 0.0039040572 0.0039280467 0.0039392416 0.0038792682 0.0039758254 0.0040491926 0.0041147633 0.0038360876 0.0038930622 0.00378551 0.0040751807 0.0038258922 0.0038924625 0.0039794235 0.004003213 0.0038288909 0.0038836664 0.00391985 0.0039354432 0.0038536796 0.003886665 0.0038982597 0.004047593 0.0038090996 0.0038532799 0.0038882643 0.0039722268 0.003848482 0.0038758698 0.0039054565 0.003949637 0.0038758698 0.0039012586 0.0038780689 0.003996016 0.0038656744 0.0039040572 0.003935643 0.004128157 0.0037149417 0.003842085 0.0038794682 0.0039020581 0.0038596771 0.0039658295 0.0038684732 0.0039750254 0.0043220706 0.00394324 0.0038582776 0.004059188 0.0039688284 0.003994017 0.003938642 0.004043195 0.0039006588 0.0039196503 0.003938042 0.0039870203 0.0039906185 0.0039880197 0.0040503917 0.004148948 0.0040823775 0.004072782 0.0040779794 0.00418913 0.004162542 0.0041203606 0.004236709 0.005087329 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00024769048 5.9997697e-06 1.6199378e-05 8.299681e-06 7.1997233e-06 8.699666e-06 6.0797665e-05 2.889889e-05 6.4997503e-06 3.9998463e-07 1.2999501e-06 1.6999347e-06 3.5998617e-06 9.999616e-07 6.9997313e-06 4.299835e-06 0.00065717474 2.2999116e-05 3.9998464e-05 3.2998734e-05 6.279759e-05 4.2098385e-05 0.00019129265 8.8396606e-05 1.5999385e-05 8.59967e-06 3.4998657e-06 3.799854e-06 2.839891e-05 2.499904e-06 3.4998657e-06 2.4699051e-05 0.0004759817 6.379755e-05 3.9098497e-05 8.209685e-05 8.84966e-05 3.6498597e-05 0.000104895975 8.409677e-05 9.89962e-06 5.1998004e-06 2.5999002e-06 5.1998004e-06 3.5998617e-06 2.8998886e-06 2.499904e-06 1.7099343e-05 0.00073847163 5.4597902e-05 6.589747e-05 5.109804e-05 0.00011839545 5.9197726e-05 0.00016769356 0.00015339411 4.8198148e-05 2.3299106e-05 7.999693e-06 1.4899428e-05 2.6198994e-05 1.0299605e-05 6.099766e-06 9.259644e-05 8.809662e-05 2.5999002e-06 3.099881e-06 3.799854e-06 1.4999424e-05 6.6997427e-06 2.5099036e-05 1.1799547e-05 2.499904e-06 1.7999308e-06 2.2999118e-06 2.6998964e-06 3.3498713e-05 1.899927e-06 2.0999194e-06 1.7999308e-06 0.00036228608 2.7798933e-05 3.8398524e-05 3.699858e-05 7.249722e-05 4.269836e-05 3.4798664e-05 5.1498024e-05 0.00012709512 1.1699551e-05 7.999693e-06 2.3499098e-05 5.1698014e-05 2.0699204e-05 5.519788e-05 5.9097732e-05 0.0032169765 0.00038958504 0.00032138766 0.00046428217 0.0006816738 0.0007701704 0.00025079036 0.00052807975 0.0019885236 0.00032178764 9.7596254e-05 0.0003959848 0.00076677056 0.00032658747 0.0007631707 0.0012089536 0.0005547787 9.419638e-05 7.109727e-05 0.00012309528 0.00014669436 0.00020449214 9.009654e-05 0.00014199455 0.00039658477 8.289682e-05 2.2699129e-05 5.339795e-05 0.00018399293 8.4796746e-05 0.00016579364 0.00024569058 0.05857575 0.060061794 0.06023789 0.06118105 0.06021369 0.061283745 0.060895562 0.062388305 0.06012729 0.061355244 0.060904462 0.062045816 0.06145714 0.062145513 0.062135816 0.06430693 23228.0 5.7562423 133706.0 0.01001451 0.009326433 0.010366027 0.009640555 0.00992476 0.010066863 0.010194007 0.010149133 0.010111738 0.009498452 0.009625596 0.009954677 0.010044426 0.010485693 0.010575442 0.010283757 0.009902323 0.0101192165 0.010156612 0.01034359 0.01025384 0.009820053 0.010186529 0.010089301 0.010395943 0.009887365 0.010216445 0.010440818 0.010582921 0.010373506 0.010021988 0.010687628 0.008989873 0.010717545 0.009939718 0.009954677 0.010029468 0.01066519 0.010732503 0.010298715 0.010403423 0.010051905 0.010104259 0.010276278 0.010904522 0.010156612 0.01066519 0.009640555 0.010470734 0.010208966 0.010478213 0.010418381 0.010440818 0.010051905 0.010291236 0.010523088 0.010582921 0.010515609 0.0099621555 0.010044426 0.010627795 0.010852168 0.010485693 0.010926959 0.009259121 0.011158811 0.009917282 0.0108072935 0.010725023 0.013798932 0.010395943 0.010358548 0.010388465 0.011435538 0.009977114 0.010515609 0.011487891 0.010882084 0.01182445 0.01150285 0.010029468 0.010208966 0.0116225155 0.011555203 0.01216101 0.0111214155 0.010358548 0.011113937 0.010231404 0.010403423 0.010029468 0.010702587 0.010351068 0.010418381 0.010515609 0.0105904 6.582414 3.0 0.0 0.0 100.0 5002232.0 68722690.0 0.0 0.0 147.0 0.0 1.0 0.0 0.0 0.0 474497020.0 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 5.0 0.0 4.0 0.0 4.0 0.0 81920.0 1024.0 4096.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79872.0 -4096.0 68600380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9096766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4654813 -5.1244617 7.9990463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -81920.0 -4096.0 68600380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4049.0 114688.0 15360.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0