Input: 0.16091615 0.010532388 0.006295831 0.005205003 0.009475904 0.0037763747 0.0026836738 0.006479405 0.007949868 0.0016278123 0.001909417 0.0016072071 0.0057769543 0.00178641 0.0017402044 0.010026624 0.0055690287 0.0015154202 0.0017283408 0.0013393392 0.0032862201 0.009686951 0.001070847 0.00091849326 0.0030882852 0.001262538 0.019802865 0.0012993776 0.0022647008 0.0012363131 0.0010720958 0.001048993 0.0039599487 0.0010564858 0.0017470728 0.0009809333 0.0077300793 0.0016190707 0.0009996654 0.001083335 0.0023539902 0.0034454423 0.0008785316 0.0017939028 0.0021036055 0.0015160446 0.001287514 0.0009821821 0.00497897 0.002782329 0.0025013487 0.0069839205 0.0027130204 0.0024189278 0.0021142203 0.0021766603 0.0029496683 0.003237517 0.0023227702 0.0055471747 0.0025075928 0.0027173914 0.002069888 0.0022590812 0.006049817 0.0038987573 0.0014685901 0.0027667189 0.003999286 0.008238966 0.0024651336 0.0017264676 0.0035515905 0.0020324239 0.00094034726 0.0013755545 0.0027873241 0.0047454443 0.00245327 0.0016577835 0.008640455 0.005096982 0.012426821 0.0056171077 0.002285306 0.0042065866 0.006493766 0.004774791 0.0016028363 0.0013274756 0.0011695023 0.0022534616 0.002106103 0.0038525516 0.0029452976 0.0031163832 0.0016515395 0.0026112432 0.00090225885 0.0019169098 0.0024108107 0.0051444364 0.0025556716 0.0013455832 0.0075002997 0.002668688 0.005036415 0.00081047195 0.002838525 0.0014186382 0.0030327137 0.0031757012 0.0033193135 0.0012731528 0.003310572 0.0029746443 0.013451462 0.009506498 0.0014305017 0.0019774765 0.0032293997 0.0015566306 0.0008735364 0.0008248332 0.0016752668 0.0021160936 0.0010814618 0.0013112412 0.005866868 0.002277189 0.00081609155 0.0087466035 0.0059299325 0.015947815 0.0013743057 0.0015859775 0.0029715223 0.010223935 0.0014336237 0.038365044 0.0013724325 0.010042234 0.0008829024 0.0009615769 0.0015503867 0.00071119226 0.0007149387 0.0007967351 0.0013112412 0.0011588875 0.0006056686 0.000866668 0.0012488011 0.0009865529 0.0006587426 0.00068933825 0.0010689738 0.0008710388 0.0007598955 0.00082171115 0.0017988981 0.0013730569 0.0005775705 0.000851058 0.0011008182 0.0012375619 0.0006268982 0.0009759381 0.0013574469 0.0006337666 0.00070557266 0.0007736323 0.0011857367 0.000646879 0.00059692696 0.0006400106 0.0015934702 0.0007461587 0.0009977921 0.0013162364 0.0012669087 0.0017377068 0.0008772828 0.0012631624 0.0020530291 0.0036814658 0.0013586957 0.0015616259 0.0012144591 0.0013849204 0.0015054297 0.0014991858 0.009443434 0.0018600894 0.0028684963 0.0023752197 0.0016927499 0.0010852081 0.0022503396 0.0039306018 0.0022915502 0.0024682556 0.00090850284 0.0019350174 0.024803689 0.0036727241 0.0027074008 0.0018950558 0.0029733956 0.0013643153 0.0016596568 0.001597841 0.003454184 0.0015997143 0.002363356 0.0013137388 0.0025025974 0.0038494295 0.0007598955 0.0028410226 0.0021797824 0.0006287714 0.0007842471 0.0007467831 0.0023727221 0.0007598955 0.000681221 0.0007367927 0.0016328075 0.002245969 0.00068933825 0.00080984755 0.009988536 0.0051631685 0.0007917399 0.0034317055 0.0047810352 0.0007842471 0.0008298284 0.0011695023 0.0045100455 0.0013555737 0.0009503377 0.001017773 0.003907499 0.00096282567 0.003582186 0.0022091293 0.005295541 0.0026699367 0.0023252678 0.0029078336 0.01067725 0.0031682085 0.0033580263 0.06386682 0.00062886125 0.0 3.1240003e-07 0.0 3.1240003e-07 0.0 0.0 3.1240003e-07 0.0 0.0 0.0 1.8744001e-06 0.0 0.0 0.0 8.122401e-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 0.00058887404 2.2805203e-05 1.8744001e-06 1.8744001e-06 1.5620002e-06 1.5620002e-06 1.5620002e-06 3.1240004e-06 3.7488003e-06 2.1868002e-06 1.8744001e-06 1.5620002e-06 1.8744001e-06 1.8744001e-06 1.5620002e-06 1.8744001e-06 0.0011421345 4.6547604e-05 1.6869602e-05 1.0309201e-05 3.7488003e-06 3.4364004e-06 5.6232007e-06 2.8116003e-06 3.7488003e-06 2.8116003e-06 6.560401e-06 6.872801e-06 4.6860005e-06 2.4992003e-06 3.7488003e-06 1.7182001e-05 0.0021558725 5.8106405e-05 2.9053203e-05 2.3430002e-05 4.6547604e-05 2.1868002e-05 1.6869602e-05 1.3120802e-05 4.7172405e-05 9.6844005e-06 5.9356007e-06 1.0621601e-05 1.5620002e-05 1.8744002e-05 1.0309201e-05 7.622561e-05 0.0050858725 0.00015651241 8.3098406e-05 9.309521e-05 0.00011996161 0.00013589402 0.00010028041 4.4360804e-05 7.8412406e-05 2.6866403e-05 3.0615203e-05 4.6235204e-05 7.153961e-05 4.3423606e-05 6.310481e-05 0.00021868003 0.00700026 0.00014620321 0.00010934001 0.00012464762 0.00016963322 0.00018431601 0.00041424244 0.00031677363 9.434481e-05 4.9671606e-05 0.00010277961 9.559441e-05 0.00010590361 8.3098406e-05 6.81032e-05 0.00053201726 0.009271408 0.00027991043 0.00026366563 0.00020274761 0.00058450043 0.00058356323 0.0023117603 0.001425169 6.622881e-05 4.3736003e-05 9.278281e-05 0.00012527242 7.4038806e-05 0.00011121441 0.00015588761 0.00040299605 0.0148936715 0.0006123041 0.0006163653 0.00037238083 0.0017144514 0.0013167661 0.0055476 0.0030774528 0.00035957244 0.00030490244 0.00018494081 0.00028647084 0.00027897322 0.00019618722 0.00020306002 0.00074507407 0.014270433 0.0010627849 0.0017581874 0.0011068333 0.0029987278 0.0021502494 0.005040262 0.0030687056 0.0008231741 0.00066197565 0.00020555922 0.00038675123 0.00037300563 0.00028834524 0.00035832284 0.0012752169 0.015642807 0.0014882737 0.0025891715 0.0020524682 0.0039574835 0.0026516514 0.0056678737 0.0035966616 0.0009721889 0.00046672564 0.00051920884 0.0007884977 0.00071133487 0.0005367033 0.0007132093 0.0017916142 0.017166069 0.0029331238 0.002523255 0.020988284 0.0024464047 0.0022995765 0.0032605191 0.003092448 0.0030465252 0.001971244 0.0020824587 0.0023330033 0.004330177 0.0019384422 0.0022133542 0.0041505466 0.016480977 0.004060888 0.0018116077 0.0015266989 0.0035413667 0.0019156369 0.0018606546 0.0020237274 0.003924682 0.0014414138 0.0011443213 0.0016788378 0.0030930727 0.0017050793 0.00205528 0.006118355 0.0636615 0.017545324 0.008847794 0.00831234 0.012717805 0.02100609 0.0069593354 0.011976168 0.04178663 0.0036466455 0.003768794 0.0071477126 0.021506868 0.010090209 0.01159504 0.041178387 0.06499795 0.025233176 0.012731551 0.013077065 0.019505633 0.033666726 0.0117956 0.019064836 0.05520015 0.0042255227 0.0049315467 0.009073034 0.03346023 0.013553163 0.017230112 0.053808406 0.004637891 0.0025485596 0.00215681 0.0022923914 0.0023589327 0.0020121685 0.002043721 0.0022242882 0.0024520278 0.0019696823 0.0020074826 0.0020799595 0.0021939855 0.0020534054 0.0022142914 0.0025023243 7126.0 13.662503 97359.0 0.013065048 0.002146694 0.016957857 0.0015406896 0.007343954 0.009963126 0.0024342895 0.0024034758 0.0037181976 0.0024445609 0.0023213057 0.0019207264 0.014513296 0.010404791 0.0075801928 0.0028964966 0.027937839 0.019402418 0.013835393 0.014174344 0.012294703 0.010579402 0.010774556 0.0101685515 0.012530942 0.012736367 0.010425333 0.010189094 0.0107232 0.011103236 0.010209637 0.010384248 0.0035127723 0.014831705 0.0033689747 0.015211742 0.010671844 0.014441397 0.0063270987 0.003851724 0.011370289 0.011308662 0.0022288642 0.005536211 0.009891227 0.009203053 0.011380561 0.009274951 0.016618906 0.007087172 0.00991177 0.017759016 0.014492754 0.008381352 0.008062942 0.009675531 0.0036668412 0.0020747953 0.0059573334 0.0023007633 0.009038713 0.0021569654 0.002054253 0.010579402 0.0029375816 0.024003943 0.005998418 0.015910188 0.016238868 0.05005187 0.006994731 0.009562547 0.010774556 0.023623908 0.004899393 0.003584671 0.021261517 0.010805369 0.027485903 0.027978923 0.013855935 0.002804055 0.027855668 0.0214464 0.03788042 0.010250721 0.0048377654 0.009305765 0.00991177 0.005792993 0.002341848 0.002105609 0.0029478527 0.0017153011 0.0019823539 0.0014996046 6.196227 0.0 3.0 0.0 22.0 1601536.0 1658880.0 1.0 133.0 435.0 1.0 1.0 0.0 1.0 0.0 1540437200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 1182720.0 1024.0 4096.0 7.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 0.0 0.0 -62976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1182720.0 -15872.0 330752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8031297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1338887 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.586203 -5.6135397 2.142947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 -62712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42297.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1182286.0 -15836.0 330804.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 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 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 2.0 -1.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 -1.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 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 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 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 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 -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 1.0 0.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 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 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 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 0.0 1.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 3.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 2.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -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 1.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 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 -1.0 -1.0 1.0 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 3.0 0.0 0.0 -2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 2.0 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 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 3.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 -3.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 2.0 -1.0 -1.0 3.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 2.0 -2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 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 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 1.0 -1.0 1.0 1.0 2.0 1.0 0.0 0.0 0.0 -1.0 0.0 -3.0 -2.0 0.0 1.0 2.0 0.0 1.0 0.0 -2.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 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 -1.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -2.0 2.0 2.0 1.0 -2.0 -1.0 -2.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 2.0 -4.0 1.0 2.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 -3.0 0.0 0.0 0.0 0.0 3.0 0.0 -1.0 1.0 0.0 3.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 5646.0 1180736.0 1160.0 1235308.0 331840.0 1257472.0 0.0 0.0 0.0 0.0 62712.0 1593344.0 56.0 59856.0 0.0 0.0 0.0 0.0 24.0 14904.0 128.0 13752.0 0.0 0.0 2408.0 1232896.0 1408.0 1172588.0 0.0 0.0


Input: 0.32584313 0.03246345 0.020034034 0.0052308943 0.011230469 0.0040657874 0.013483331 0.006197788 0.0043413523 0.0041189664 0.030723043 0.0029538597 0.0023108756 0.0022963723 0.0022141864 0.0010104037 0.0016243812 0.0068165995 0.0047812886 0.0038579053 0.0017500774 0.0013439821 0.0046265856 0.0034904857 0.0013681544 0.0017452429 0.0011506033 0.0022480276 0.0012521271 0.0021465037 0.0010925897 0.005738513 0.015426787 0.001508354 0.0011844446 0.0006913289 0.0006188119 0.0015180229 0.0015470297 0.0005076191 0.010065362 0.0013198097 0.003616182 0.001735574 0.0025380957 0.0027121364 0.0034034653 0.0011941135 0.007188854 0.001880608 0.0012279549 0.0027653156 0.0014793471 0.0011699412 0.0009040455 0.0010104037 0.0009137144 0.0008411974 0.0006188119 0.0007831838 0.00064298423 0.0014213335 0.0010490795 0.0007251702 0.0011312654 0.002862005 0.000981397 0.0036596921 0.0016195467 0.0015857054 0.001053914 0.0017404084 0.0007493425 0.003442141 0.0006574876 0.0013246442 0.0027411433 0.001508354 0.001653388 0.0015712021 0.0020933247 0.0010877553 0.0017887531 0.0044042002 0.0014745127 0.0009475557 0.0012617961 0.0020691522 0.00086536974 0.00080252165 0.0005124536 0.0003142404 0.00048828125 0.00047861232 0.0005366259 0.0063041463 0.0007348391 0.0077061416 0.0025235922 0.004520227 0.006076926 0.022871867 0.003089225 0.004114132 0.0021465037 0.00845065 0.0009959004 0.0034276377 0.006695738 0.008455484 0.009567412 0.027314743 0.011027421 0.00068165996 0.021126624 0.010234568 0.012332727 0.0034082998 0.0029586942 0.0018419322 0.0015325263 0.0023688893 0.00066715654 0.004413869 0.00044477105 0.0020063042 0.0050858604 0.00041092976 0.004597579 0.001126431 0.00071550126 0.00031907487 0.00092821784 0.00047377785 0.00038675743 0.00024655787 0.00037225403 0.00036741956 0.00033841273 0.0003770885 0.00034324723 0.00068649446 0.0004060953 0.00045443999 0.00045443999 0.00046410892 0.0002707302 0.00024172339 0.00066715654 0.00048828125 0.00024655787 0.00026589574 0.00020788211 0.00039642636 0.0013439821 0.0004351021 0.00019821318 0.00029006807 0.0001643719 0.000299737 0.00029490254 0.00045443999 0.0029296875 0.00042543316 0.00026106127 0.0002562268 0.00027556467 0.0004060953 0.00024172339 0.0002852336 0.00022238553 0.00029006807 0.000299737 0.00030457147 0.0001498685 0.0009959004 0.00026589574 0.0010925897 0.00025139234 0.00028039914 0.00058013614 0.00046410892 0.00034324723 0.00035775063 0.00066715654 0.0003287438 0.00019337871 0.00021271658 0.00038192296 0.00035775063 0.00026589574 0.00068165996 0.00047861232 0.0011941135 0.00039642636 0.0005559638 0.00032390933 0.00052212254 0.00033841273 0.00031907487 0.00023688893 0.0005124536 0.00057530164 0.00026106127 0.000299737 0.00036741956 0.000599474 0.0004060953 0.00051728805 0.00038192296 0.000299737 0.00040126083 0.00037225403 0.0003625851 0.0012327892 0.00025139234 0.0006333153 0.00029490254 0.00046410892 0.00034324723 0.00061397743 0.0003625851 0.0022045174 0.00035775063 0.00046894338 0.00033841273 0.0003480817 0.00046410892 0.00029490254 0.00035775063 0.0002562268 0.00030457147 0.00025139234 0.00029006807 0.00016920637 0.000299737 0.00029490254 0.00029490254 0.00030940594 0.00038192296 0.00044960552 0.00035775063 0.0002707302 0.00090887997 0.00086053525 0.00061397743 0.00033841273 0.0007009978 0.00030457147 0.0004399366 0.0003287438 0.0006043085 0.0009765625 0.0023688893 0.0087793935 0.08599551 0.00045184235 2.42926e-06 0.0 0.0 0.0 4.85852e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.049292114 3.886816e-05 0.0 0.0 0.0 0.0 0.0 0.0 7.2877797e-06 1.4575559e-05 2.186334e-05 1.4575559e-05 1.4575559e-05 2.42926e-05 1.7004819e-05 5.5872977e-05 0.004766208 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013846782 2.42926e-05 9.71704e-06 1.4575559e-05 7.2877797e-06 2.9151119e-05 1.4575559e-05 2.9151119e-05 6.316076e-05 9.474114e-05 0.00012389226 0.00014332634 0.0002793649 0.00027450637 0.00032552084 0.013353642 0.0040592933 1.4575559e-05 6.559002e-05 0.00010202892 0.0001093167 4.615594e-05 0.00036438898 0.00015061411 1.943408e-05 2.42926e-06 7.2877797e-06 4.85852e-06 2.42926e-06 4.85852e-06 7.2877797e-06 1.4575559e-05 0.049719665 0.00074092427 0.0015304338 0.0015693019 0.0007870802 0.00095955766 0.0050892998 0.0029685555 0.00023320895 0.0003036575 0.00023806747 0.00060245645 0.00043969604 0.0005028568 0.0005028568 0.013414374 0.0364389 0.0005781639 0.0016300335 0.0014454097 0.0006121735 0.0007044854 0.0046301694 0.0025555815 9.474114e-05 0.00010445818 3.6438898e-05 0.0003935401 0.0002477845 0.00016276042 0.00015547263 0.0049362564 0.023622124 0.0005101446 0.002438977 0.0010615865 0.0056966147 0.0051257387 0.035246134 0.017097132 0.0001579019 5.8302237e-05 1.943408e-05 7.2877797e-06 2.42926e-05 8.016558e-05 2.9151119e-05 0.0033523787 0.13146183 0.006865089 0.015357781 0.0068723764 0.010491974 0.008908097 0.045415014 0.022329757 0.001897252 0.00071906095 0.0007652169 0.0003206623 0.0004615594 0.0007530706 0.00039596937 0.0007166317 0.14420088 0.019349055 0.017007248 0.008016557 0.006665889 0.005485269 0.020201726 0.023087686 0.0048293686 0.0018826765 0.003420398 0.0021377488 0.0020770172 0.003923255 0.0012194884 0.00515246 0.059133045 0.012787624 0.008422244 0.0035758705 0.0028568096 0.0027110542 0.00610473 0.009068428 0.0033596666 0.0020308613 0.0022033388 0.0020017102 0.0022446362 0.0022106266 0.0012462103 0.004421253 0.013154442 0.003699763 0.002120744 0.0008793921 0.0005781639 0.001093167 0.0015304338 0.002970985 0.001093167 0.00072877796 0.0007773632 0.00067776354 0.001093167 0.0006510417 0.00062189053 0.0031556087 0.004132171 0.00051986164 0.00080408505 0.00092068955 0.00029394045 0.00025750155 0.00029151118 0.0004372668 0.00033037935 0.00025021378 0.00028908195 0.00023806747 0.00029151118 0.00018219449 0.00028665268 0.0004251205 0.00026478933 0.00013118004 0.00016761894 0.0002064871 0.00026478933 0.00020891636 0.00010202892 0.00010445818 9.71704e-05 0.0002672186 0.00023563822 0.0002064871 0.0002307797 0.00037410602 0.00030122822 0.0018122279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1163.0 19.77386 22997.0 0.026264295 0.00056529115 0.0026525198 0.00060877507 8.696786e-05 0.0 8.696786e-05 4.348393e-05 8.696786e-05 0.00021741967 8.696786e-05 4.348393e-05 0.005652911 0.0036091665 0.017002217 0.0009566465 0.011958081 0.0054354914 0.0020437448 0.0036961343 0.004522329 0.003957038 0.0016958733 0.0026960038 0.0012175501 0.0013914858 0.0008696787 4.348393e-05 0.0018263252 0.005652911 0.0018698091 8.696786e-05 0.0001304518 0.0069574295 0.0036526504 0.010131757 0.007783624 0.0044353614 0.0048267166 0.005870331 0.001261034 0.010827499 0.0006957429 0.003174327 0.0062182024 0.0034352306 0.0030438753 0.0026525198 0.0041309735 0.00047832326 0.0048267166 0.016741315 0.004261425 0.0009131626 0.0041309735 0.0082184635 0.0001304518 8.696786e-05 0.00060877507 0.0 0.00043483934 0.0 4.348393e-05 0.030786624 0.00034787145 0.037744053 0.013740922 0.026220812 0.023611775 0.11675436 0.011740662 0.021133192 0.00917511 0.04531026 0.002565552 0.013697439 0.036396053 0.03504805 0.044875417 0.04957168 0.016219506 0.000652259 0.06370396 0.04609297 0.06953081 0.02156803 0.008609818 0.008914206 0.004261425 0.01182763 0.0022611646 0.00017393572 0.0 0.00017393572 0.0002609036 0.0 5.199309 0.0 1.0 0.0 1.0 206848.0 237568.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1516196400.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 6.0 0.0 199168.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -199168.0 512.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2428703 2.7592013 4.3378253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -198772.0 312.0 5400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 206880.0 5400.0 221184.0 0.0 0.0 0.0 0.0 12.0 229376.0 28.0 212992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.9556105 0.0008020547 0.00024335849 9.597236e-05 0.00018737461 8.111949e-05 8.7974666e-05 0.00027534927 0.0002936297 5.369882e-05 7.0836744e-05 3.7703427e-05 0.00024450102 0.00062039273 0.00011311028 0.0002479286 0.00026735157 0.00019879988 0.00014852865 3.1990785e-05 0.00018394702 0.00016452404 2.1708034e-05 7.654938e-05 7.4264324e-05 5.0271236e-05 0.0004924296 0.00023421826 0.00026392398 0.00017594933 0.000115395334 2.970573e-05 0.00028106192 3.9988485e-05 8.111949e-05 2.6278147e-05 3.8845956e-05 5.1413765e-05 3.1990785e-05 2.970573e-05 0.00013938843 3.7703427e-05 2.399309e-05 6.283905e-05 5.369882e-05 4.6843652e-05 0.0002479286 0.00021479528 0.00011882292 8.340455e-05 0.00010054247 0.0007232203 0.00014053096 0.000115395334 7.3121795e-05 0.00012453557 9.711489e-05 0.00024564355 7.883444e-05 0.00014967118 0.00016452404 0.00010854017 0.00014167349 0.00015195624 0.00015652635 6.398157e-05 4.9128706e-05 0.000111967754 6.626663e-05 0.00034390096 0.000110825225 8.683214e-05 7.4264324e-05 7.197927e-05 3.1990785e-05 1.9422978e-05 7.4264324e-05 0.000111967754 5.1413765e-05 3.5418372e-05 0.00043416067 8.568961e-05 7.3121795e-05 0.00020108494 4.798618e-05 0.00016566657 0.00015995394 0.00019994241 0.00014281602 6.169652e-05 3.9988485e-05 7.540685e-05 7.3121795e-05 0.00010854017 7.4264324e-05 0.000101685 5.4841348e-05 0.00017709186 3.8845956e-05 0.00014053096 0.00016795163 0.0003530412 0.0002273631 6.283905e-05 0.0001668091 0.00018394702 0.0001508137 3.3133314e-05 0.0001908022 0.00010511259 0.00097457645 0.00023307573 8.111949e-05 2.0565505e-05 0.00023307573 0.00021822286 0.00045701125 0.00034390096 6.740916e-05 0.0001542413 8.568961e-05 5.826893e-05 2.1708034e-05 3.8845956e-05 5.1413765e-05 9.597236e-05 2.6278147e-05 5.4841348e-05 0.0001382459 5.1413765e-05 2.5135618e-05 0.0002513562 0.00014967118 0.00034275843 3.8845956e-05 6.51241e-05 0.000115395334 0.00028334698 2.7420674e-05 0.000568979 0.0001302482 0.00020679759 2.8563203e-05 2.7420674e-05 0.0005861169 7.654938e-05 1.9422978e-05 2.7420674e-05 4.5701123e-05 3.9988485e-05 2.970573e-05 2.6278147e-05 2.970573e-05 4.341607e-05 2.5135618e-05 2.399309e-05 4.227354e-05 3.084826e-05 2.6278147e-05 2.0565505e-05 2.399309e-05 6.055399e-05 3.4275843e-05 3.9988485e-05 2.7420674e-05 4.113101e-05 2.6278147e-05 2.7420674e-05 6.283905e-05 7.3121795e-05 7.769191e-05 3.8845956e-05 4.4558597e-05 5.2556294e-05 5.369882e-05 0.00012682063 5.941146e-05 3.1990785e-05 4.341607e-05 5.5983877e-05 4.5701123e-05 0.00010511259 6.398157e-05 8.340455e-05 0.00010397006 5.2556294e-05 6.283905e-05 6.055399e-05 5.826893e-05 7.883444e-05 8.111949e-05 0.00015995394 0.0003701791 8.111949e-05 0.00017137922 0.00013253326 9.2544775e-05 8.568961e-05 0.00012796314 0.00014395855 9.825741e-05 0.00014167349 8.568961e-05 9.2544775e-05 0.00017594933 0.00010511259 0.000110825225 8.683214e-05 0.00011653786 0.00012910567 0.00021479528 0.000115395334 0.0001668091 0.00014281602 0.00016109647 0.0001382459 0.00017823439 0.0001302482 0.00015652635 0.00017709186 0.00019651483 0.00012110798 0.00019308725 0.00016109647 0.00023536079 0.00016795163 0.00019308725 0.00019879988 0.00019194472 0.00017823439 0.00019994241 0.00020108494 0.00034047337 0.00022850563 0.00017023669 0.00024335849 0.00028677456 0.00013938843 0.00016452404 0.00019994241 0.00036103887 0.00016223898 0.00017366427 0.00015766888 0.00016566657 0.00014510106 0.00018623208 0.00017709186 0.00028106192 0.00018965967 0.0004912871 0.00085232593 0.0011333879 0.00095401093 0.00092544773 0.005806328 0.93903524 0.0 1.1448564e-06 0.0 0.0 0.0 1.1448564e-06 0.0 1.1448564e-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 0.00096969336 9.7312795e-06 5.724282e-07 9.158851e-06 0.0 0.0 0.0 0.0 5.1518537e-06 1.7172846e-06 0.0 2.2897127e-06 2.2897127e-06 2.4041985e-05 3.9497547e-05 0.00010818893 0.0009490859 4.5794254e-06 2.862141e-06 1.0303707e-05 1.8317702e-05 2.4041985e-05 8.071237e-05 4.5221826e-05 1.3738277e-05 4.5794254e-06 2.2897127e-06 5.724282e-06 2.862141e-06 2.2897127e-06 2.862141e-06 2.862141e-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 0.00074243936 4.006997e-06 7.3843235e-05 4.4076973e-05 1.5455562e-05 1.20209925e-05 0.00015054861 9.273337e-05 1.43107045e-05 2.862141e-06 5.1518537e-06 4.5794254e-06 2.862141e-06 1.7172846e-06 2.2897127e-06 3.4345692e-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 0.0029348393 0.0003978376 0.0003835269 0.00027075852 0.00014940376 0.00021408814 0.00095938967 0.00038581662 7.8422665e-05 4.751154e-05 9.044365e-05 6.3539526e-05 9.845765e-05 0.0003085388 0.0007390048 0.0022570845 0.006308159 0.0007407221 0.00034059476 0.0010189222 0.00029995237 0.00025759268 0.0008752427 0.0004081413 0.00025072356 0.00020263958 0.00021924 0.00039211332 0.0006514233 0.0010223568 0.0011792021 0.004590302 0.002701861 0.00036692648 0.0001768803 0.0002925108 6.8691385e-05 0.00017573546 0.00024385442 6.182225e-05 0.00019004616 0.00010303708 0.00016886632 0.00028335195 0.00043790755 0.00056956604 0.00042187958 0.0019433937 0.0020595966 0.0002764828 0.00011849264 0.00035261578 0.00013051362 0.00019004616 0.00022839884 0.00014253463 0.00018031488 0.000105326784 0.00015856262 0.00013910006 0.00023870256 0.00025930998 0.00026732398 0.0010143428 0.0021901103 0.00039268573 0.00017115603 0.00036864376 0.00046309442 0.0006365402 0.0004407697 0.0004671014 0.0009897284 0.00033429806 0.00011792021 0.0001705836 0.0003978376 0.00021408814 0.00043332815 0.001590778 0.0012639215 0.00031998736 0.00011792021 0.0002478614 0.00029709024 0.0005260615 0.00024328199 0.0003938306 0.00073041837 0.0002925108 4.8656395e-05 8.471937e-05 0.00027133097 8.9871224e-05 0.0002598824 0.0006743204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 351.0 14.313391 5024.0 0.030055733 0.0025875797 0.009952229 0.0013933121 0.0011942675 0.0017914013 0.0013933121 0.0027866242 0.015923567 0.0029856688 0.0029856688 0.0021894905 0.0031847134 0.00477707 0.035828024 0.036624204 0.003383758 0.0059713377 0.00955414 0.009156051 0.010748408 0.008957006 0.004378981 0.0027866242 0.005374204 0.013933121 0.008160828 0.0045780255 0.0075636944 0.008957006 0.00955414 0.007961784 0.0035828026 0.0051751593 0.0037818472 0.008957006 0.0037818472 0.0051751593 0.0045780255 0.005374204 0.00477707 0.0069665606 0.001990446 0.0017914013 0.0069665606 0.003383758 0.004378981 0.0021894905 0.00736465 0.0041799364 0.005374204 0.00955414 0.003980892 0.010350319 0.004378981 0.012141719 0.019307325 0.0027866242 0.0015923567 0.0041799364 0.0025875797 0.0031847134 0.0025875797 0.008757962 0.001990446 0.024681529 0.003980892 0.019705415 0.021098725 0.049363058 0.0065684714 0.00736465 0.007762739 0.025278663 0.003383758 0.0027866242 0.024084395 0.014928344 0.16182324 0.028861465 0.007165605 0.001990446 0.030055733 0.02687102 0.035429936 0.00955414 0.0049761147 0.007762739 0.007165605 0.0075636944 0.0011942675 0.00059713377 0.0013933121 0.00079617836 0.00079617836 0.0011942675 5.61345 0.0 0.0 0.0 5.0 875252.0 57344.0 1.0 0.0 92.0 1.0 1.0 0.0 0.0 0.0 1247528400.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 1.0 9.0 0.0 6.0 1.0 6.0 1.0 14848.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.419017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.22914022 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.45275 0.0 5.725355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14749.0 0.0 26464.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 3.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 16556.0 26464.0 24576.0 0.0 0.0 0.0 0.0 592.0 53248.0 56.0 18748.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 9784.0 108.0 624.0 388.0 4096.0 64.0 16384.0 0.0 0.0


Input: 0.69570315 0.011865234 0.0046875 0.0032714843 0.0036621094 0.0013671875 0.0024902343 0.0015136718 0.002001953 0.0012207031 0.0029785156 0.00083007815 0.0009765625 0.00034179687 0.0018554687 0.00048828125 0.0012207031 0.00092773436 0.0014160157 0.00092773436 0.0004394531 0.0004394531 0.00048828125 0.00034179687 0.0005371094 0.00014648438 9.765625e-05 0.00024414062 0.0007324219 0.0010253906 4.8828126e-05 0.00034179687 0.0053710938 0.000390625 0.0004394531 0.00034179687 0.00078125 0.000390625 0.000390625 9.765625e-05 0.0011230469 9.765625e-05 0.00048828125 0.00014648438 0.0021484375 9.765625e-05 0.0064941407 0.00024414062 0.0039550783 0.0017089844 0.0005859375 0.0016113281 0.00078125 0.0013671875 0.00048828125 0.0009765625 0.0005371094 0.0010742188 0.0001953125 0.00014648438 4.8828126e-05 0.0013183594 9.765625e-05 9.765625e-05 0.00078125 0.0023925782 0.00092773436 0.0017578125 0.0046875 0.00048828125 0.0016601563 0.0018066406 0.0008789062 0.0016601563 4.8828126e-05 0.00068359374 0.0012207031 0.0005859375 0.0009765625 0.00092773436 0.0016113281 0.0005371094 0.00078125 0.00390625 0.0014648438 0.00034179687 0.0008789062 0.00083007815 9.765625e-05 9.765625e-05 4.8828126e-05 4.8828126e-05 0.0005859375 0.00014648438 4.8828126e-05 0.0017089844 0.00034179687 0.009179687 0.0043945312 0.0045898436 0.0030273437 0.017919922 0.0016601563 0.0022949218 0.0013671875 0.011767578 4.8828126e-05 0.00068359374 0.00834961 0.0072753904 0.009667968 0.012451172 0.004638672 0.0001953125 0.011914062 0.009033203 0.0128417965 0.0060058595 0.0012695312 0.0022460937 0.0005371094 0.004345703 0.0010742188 0.0001953125 0.00014648438 0.0001953125 0.000390625 0.00029296876 0.003076172 0.00034179687 0.0 0.0 9.765625e-05 4.8828126e-05 9.765625e-05 9.765625e-05 0.0011230469 0.00014648438 0.0 4.8828126e-05 0.0001953125 9.765625e-05 0.0 4.8828126e-05 0.0001953125 0.0004394531 4.8828126e-05 4.8828126e-05 9.765625e-05 9.765625e-05 4.8828126e-05 4.8828126e-05 0.0001953125 0.00014648438 9.765625e-05 4.8828126e-05 0.0 4.8828126e-05 9.765625e-05 0.0 4.8828126e-05 0.000390625 4.8828126e-05 9.765625e-05 0.00014648438 0.0 9.765625e-05 4.8828126e-05 9.765625e-05 0.0005371094 0.0 0.0 0.0 4.8828126e-05 4.8828126e-05 4.8828126e-05 0.00029296876 9.765625e-05 0.0001953125 4.8828126e-05 9.765625e-05 4.8828126e-05 0.00014648438 4.8828126e-05 0.0001953125 4.8828126e-05 4.8828126e-05 4.8828126e-05 4.8828126e-05 4.8828126e-05 9.765625e-05 0.0 0.0006347656 9.765625e-05 4.8828126e-05 4.8828126e-05 0.00024414062 0.0 0.0 0.0 4.8828126e-05 9.765625e-05 0.000390625 0.0 0.0010742188 9.765625e-05 0.0001953125 9.765625e-05 4.8828126e-05 4.8828126e-05 4.8828126e-05 9.765625e-05 0.0 4.8828126e-05 9.765625e-05 0.0 0.00024414062 4.8828126e-05 4.8828126e-05 0.00014648438 9.765625e-05 0.0 4.8828126e-05 9.765625e-05 0.00024414062 0.00014648438 4.8828126e-05 0.0 9.765625e-05 9.765625e-05 4.8828126e-05 0.0 0.00034179687 9.765625e-05 0.0 9.765625e-05 4.8828126e-05 0.0 0.00014648438 9.765625e-05 9.765625e-05 4.8828126e-05 0.0 4.8828126e-05 0.0008789062 4.8828126e-05 9.765625e-05 4.8828126e-05 0.00048828125 0.0 4.8828126e-05 4.8828126e-05 4.8828126e-05 4.8828126e-05 0.0004394531 0.018017579 0.3671104 0.00010279605 7.709704e-05 0.00010279605 0.00030838815 0.0 0.0 0.0 0.00017989309 0.0 0.0 0.0 0.0002055921 0.0 2.5699013e-05 0.00030838815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.049393505 0.00033408718 0.0006167763 7.709704e-05 0.00048828125 0.00012849507 0.0007452714 0.00035978618 5.1398027e-05 7.709704e-05 2.5699013e-05 0.00010279605 5.1398027e-05 2.5699013e-05 2.5699013e-05 0.00012849507 0.0468493 0.0007452714 0.0011050575 0.00023129112 0.00046258225 0.00043688322 0.0015676398 0.0007709704 5.1398027e-05 2.5699013e-05 2.5699013e-05 5.1398027e-05 5.1398027e-05 5.1398027e-05 0.00015419407 5.1398027e-05 0.0442537 0.00012849507 0.0005653783 0.0006167763 0.0011050575 0.00046258225 0.0034693668 0.0014134457 0.0002055921 2.5699013e-05 5.1398027e-05 5.1398027e-05 2.5699013e-05 7.709704e-05 7.709704e-05 0.00010279605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07380757 0.0012335526 0.0026469983 0.0024414062 0.0027240955 0.00071957236 0.0047286185 0.004574424 0.001850329 2.5699013e-05 2.5699013e-05 2.5699013e-05 0.00095086347 2.5699013e-05 0.00017989309 0.009303043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.052143298 0.00089946546 0.0023129112 0.0014391447 0.005807977 0.0022358142 0.017218338 0.010999178 0.001850329 5.1398027e-05 7.709704e-05 0.00010279605 0.00071957236 0.00012849507 0.00023129112 0.009046053 0.014879729 0.0010022615 0.0014134457 0.0008223684 0.0026726974 0.002158717 0.018631784 0.009919819 5.1398027e-05 0.0 5.1398027e-05 0.00012849507 0.00012849507 5.1398027e-05 5.1398027e-05 0.00066817435 0.07612047 0.0050884048 0.01069079 0.009971217 0.008557771 0.00755551 0.05291427 0.029836554 0.0014134457 0.0014648438 0.0014648438 0.0010279606 0.0010536596 0.0007966694 0.0008223684 0.0017475329 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 158.0 21.424051 3385.0 0.013293944 0.00029542096 0.0 0.0011816839 0.0 0.0005908419 0.0 0.00029542096 0.0 0.00029542096 0.0 0.0 0.010339734 0.00029542096 0.025701625 0.0 0.016543575 0.0073855245 0.0014771048 0.0047267354 0.0029542097 0.007976366 0.0020679468 0.0047267354 0.0020679468 0.0041358937 0.00029542096 0.0 0.00029542096 0.007976366 0.00029542096 0.0 0.0005908419 0.012407681 0.0038404728 0.009158051 0.025701625 0.0023633677 0.0047267354 0.0059084194 0.0014771048 0.0076809456 0.0 0.0032496308 0.0041358937 0.0020679468 0.0026587888 0.0023633677 0.007976366 0.0 0.0032496308 0.020088626 0.0059084194 0.0011816839 0.0032496308 0.0026587888 0.0 0.00029542096 0.0 0.0 0.0020679468 0.00029542096 0.00029542096 0.009453471 0.00029542096 0.04549483 0.025701625 0.024815362 0.0135893645 0.09601182 0.007976366 0.0112259975 0.0032496308 0.055539142 0.00029542096 0.0032496308 0.041654356 0.03692762 0.050516985 0.05140325 0.016248154 0.00029542096 0.057607092 0.044313148 0.069128506 0.03338257 0.0076809456 0.010930576 0.0023633677 0.02451994 0.0053175776 0.0 0.0 0.0 0.0 0.0 5.1568074 0.0 0.0 0.0 1.0 20480.0 32768.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1123479800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 6.0 0.0 4.0 0.0 4.0 0.0 8192.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 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 -1.2075187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3870335 0.0 3.358898 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6660.0 0.0 2200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 14756.0 2200.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 28.0 12096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.7236898 0.0032746748 0.0015821249 0.0020485756 0.0024921799 0.0010871158 0.0011194819 0.0010604615 0.002248483 0.0011023469 0.0011689827 0.0007310902 0.0016697034 0.0009233821 0.0006968203 0.0014260067 0.0020238252 0.0008795929 0.0005825875 0.00075393677 0.0011594633 0.0011194819 0.00063399225 0.00058449135 0.0013631786 0.00070253195 0.00092147826 0.0006796854 0.00091957435 0.0006016263 0.0009919219 0.00077297556 0.0030709596 0.0006606466 0.0008358036 0.000845323 0.0018619953 0.000845323 0.0007996299 0.00065874273 0.0007406096 0.0004931051 0.0005045284 0.00069872424 0.00070443586 0.00070443586 0.0010338072 0.00061495346 0.0011118663 0.00087007345 0.00091005495 0.0016144909 0.0010547499 0.0017972634 0.0007596484 0.00075203285 0.000845323 0.0008738812 0.0007901105 0.0013365243 0.0009995374 0.0010871158 0.0007958221 0.0011004431 0.0013784096 0.0011309051 0.0009329015 0.0035659685 0.0013441398 0.0016392412 0.0009367093 0.0010414227 0.0011861176 0.00087578513 0.0006206651 0.00059972244 0.00086245796 0.0010604615 0.0007958221 0.00071395526 0.002170424 0.0011004431 0.0015535667 0.0013993523 0.001260369 0.0011765982 0.0021628086 0.001245138 0.0010661732 0.0016487606 0.0005787797 0.0014793153 0.0007863027 0.0014355261 0.00093480543 0.0010223839 0.0008795929 0.0020066903 0.0006568388 0.0013060621 0.001325101 0.0029643422 0.00097478693 0.00090243947 0.0014716998 0.0021190192 0.0013822174 0.00075203285 0.00153072 0.00093480543 0.0016240103 0.0017763206 0.0011042508 0.00059401075 0.0024160247 0.0018143983 0.0033298873 0.0036345082 0.0010204801 0.0016373374 0.0011518478 0.000877689 0.0006111457 0.0008338997 0.0012280031 0.00091195886 0.00069491647 0.00083199586 0.0016202024 0.000845323 0.0005768759 0.0024141206 0.0010985391 0.0016144909 0.0005178556 0.00050072063 0.0010395189 0.002010498 0.0010699809 0.0052261525 0.0010566538 0.0016658956 0.00049500895 0.00065493496 0.00073299406 0.00054070214 0.00049120124 0.00064541557 0.0008053415 0.0006758776 0.0007482251 0.0005083361 0.00053689437 0.0005730681 0.0015973559 0.0005768759 0.00081105315 0.0005330866 0.00049120124 0.0006168573 0.00070253195 0.0008186687 0.00049691286 0.0007253785 0.0008795929 0.0007310902 0.0007863027 0.0005616448 0.0007958221 0.0004321809 0.00046645076 0.00051975943 0.0007748794 0.00049500895 0.0004721624 0.0005026245 0.0006282806 0.0005045284 0.00057497196 0.0006016263 0.00058449135 0.0005521254 0.00055974093 0.0009557481 0.0007215708 0.0005292788 0.00088530453 0.000670166 0.000797726 0.0005216633 0.00053689437 0.00090243947 0.0017896479 0.0010871158 0.00068539707 0.001372698 0.0010756926 0.0005768759 0.00084151526 0.00097097916 0.0008643618 0.0014298144 0.00047025853 0.00054450985 0.0016525685 0.0009957296 0.0005235672 0.00048739347 0.0010604615 0.0015992598 0.0006111457 0.00069491647 0.00064351165 0.0005216633 0.0008643618 0.0005616448 0.00085103465 0.00058639527 0.00047977793 0.0006073379 0.0006568388 0.00054641376 0.0005711642 0.0005521254 0.0010623654 0.00060543406 0.0005711642 0.0012946388 0.001037615 0.0009804985 0.00056926033 0.00059972244 0.0027530114 0.0008891123 0.00053499045 0.0011270974 0.0016144909 0.0005787797 0.0005483176 0.00060353015 0.0010928275 0.00056926033 0.00046835464 0.00083199586 0.0014869308 0.000542606 0.0016525685 0.0007482251 0.0013346204 0.0012775039 0.0005806836 0.00063399225 0.0013650825 0.0006873009 0.0012660807 0.01154894 0.6164383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018766817 9.555406e-06 9.555406e-06 1.9110812e-06 1.0510947e-05 9.555406e-07 1.4333109e-05 1.1466487e-05 1.9110812e-06 1.9110812e-06 1.9110812e-06 1.9110812e-06 5.7332436e-06 2.8666218e-06 2.8666218e-06 2.8666218e-06 0.0036224544 3.8221624e-05 2.0066353e-05 1.719973e-05 4.0132705e-05 1.4333109e-05 3.5355002e-05 1.8155271e-05 5.5421355e-05 6.688784e-06 2.8666218e-06 7.644325e-06 7.644325e-06 2.8666218e-06 4.777703e-06 2.0066353e-05 0.006908559 8.886528e-05 6.5932305e-05 5.2554733e-05 0.00014428663 3.439946e-05 0.00010606501 9.459852e-05 0.00011657595 3.153284e-05 1.9110812e-05 2.8666218e-05 2.3888515e-05 1.9110812e-05 2.7710677e-05 6.5932305e-05 0.0016463965 2.7710677e-05 1.719973e-05 4.3954868e-05 2.4844056e-05 1.8155271e-05 3.439946e-05 1.0510947e-05 7.644325e-06 5.7332436e-06 1.1466487e-05 1.2422028e-05 9.555406e-06 8.599865e-06 7.166555e-05 6.688784e-06 0.0015852419 1.3377568e-05 4.777703e-06 2.1021893e-05 3.248838e-05 6.688784e-05 2.1977434e-05 1.528865e-05 7.930987e-05 1.9110812e-05 5.7332436e-06 3.8221624e-06 1.8155271e-05 1.2422028e-05 1.1466487e-05 4.586595e-05 0.005909063 0.00016435298 0.00015193096 5.1599192e-05 0.00032392825 0.00019588582 0.00029048434 0.00016817515 9.077636e-05 5.9243517e-05 8.026541e-05 4.873257e-05 4.873257e-05 7.2621086e-05 3.7266083e-05 0.00013473122 0.016846182 0.0005150364 0.0013798006 0.0006927669 0.00045483734 0.00031150624 0.0025694487 0.001470577 0.0003975049 6.5932305e-05 8.217649e-05 0.000113709335 0.0002331519 4.968811e-05 0.00034399462 0.0038278957 0.0065693418 0.00013377568 0.0004280822 0.000176775 0.0006449899 0.00042521558 0.0008284537 0.00069085584 0.00035832773 2.3888515e-05 3.439946e-05 0.00012135366 7.453217e-05 5.2554733e-05 0.00022646312 0.00095267396 0.0036845645 8.1220955e-05 0.00058001315 0.0006172792 0.0007271664 0.00039846043 0.0022913865 0.0011284935 2.9621759e-05 3.248838e-05 3.9177165e-05 3.9177165e-05 3.9177165e-05 3.248838e-05 3.5355002e-05 2.8666218e-05 0.0051159644 0.00013568677 0.00082463154 0.00022455204 0.0009918512 0.00061059045 0.0029115323 0.0015737754 0.00017008623 9.077636e-05 0.00010033177 0.00013759785 0.00011657595 0.000111798254 0.00021595218 0.0003669276 0.045606997 0.002797823 0.0026898468 0.0050328323 0.002884777 0.0029698203 0.003202972 0.003396947 0.0028446445 0.0024891833 0.0025493824 0.0027672455 0.0024222955 0.0025111607 0.0029134434 0.0029401984 0.003916761 0.00032870597 0.0005265029 0.00029335095 0.00045005963 0.0004328599 0.0005933907 0.0005742799 0.00064976764 0.0002073523 0.00017773056 0.00021499663 0.0003669276 0.00021595218 0.00027615123 0.0005599468 0.0085683325 0.001528865 0.0014600661 0.0013587788 0.0029344652 0.0038059182 0.001765839 0.0029440206 0.0048866346 0.0013377569 0.0005121698 0.0005809687 0.0029440206 0.0011237158 0.0016148636 0.003729475 0.012041722 0.0028876436 0.002071612 0.002580915 0.0038785394 0.005520158 0.0021470997 0.0047270595 0.0072601973 0.0016091304 0.001268958 0.0012594025 0.0042483336 0.0018298603 0.0036243654 0.0076242583 0.0060437946 0.0059233964 0.004810191 0.0055086915 0.0051446306 0.006227258 0.005794398 0.0058641527 0.0054714256 0.0048914123 0.005274584 0.0051694745 0.0047910805 0.005351983 0.0059644845 0.0058316644 814.0 13.567568 11044.0 0.040021732 0.0017203912 0.0045273453 0.0017203912 0.005885549 0.0013582036 0.0014487505 0.0053422675 0.002988048 0.0012676567 0.0020825788 0.001901485 0.0031691417 0.0051611736 0.007696487 0.003893517 0.0110467225 0.008601956 0.010322347 0.009054691 0.007877581 0.007696487 0.007515393 0.004798986 0.006881565 0.006609924 0.006700471 0.005795002 0.0069721118 0.008058675 0.006519377 0.005976096 0.0042557046 0.015574068 0.003984064 0.009688519 0.017113365 0.005613908 0.0072437525 0.012767114 0.0050706267 0.011590004 0.0018109381 0.0033502355 0.005976096 0.0061571896 0.009326331 0.0042557046 0.016932271 0.0036218762 0.008420862 0.013582036 0.007968128 0.003893517 0.009326331 0.0101412535 0.0091452375 0.0023542196 0.0017203912 0.002988048 0.0041651577 0.0030785948 0.0027164072 0.005885549 0.0060666427 0.034770012 0.0060666427 0.027254619 0.019105397 0.07379573 0.008330315 0.010503441 0.010775082 0.034407824 0.0042557046 0.0032596886 0.030514307 0.013219848 0.032596886 0.038482435 0.015030786 0.0030785948 0.04328142 0.02752626 0.05441869 0.017928287 0.009326331 0.0043462515 0.00760594 0.009688519 0.0031691417 0.001992032 0.0023542196 0.001992032 0.0017203912 0.002806954 5.924617 0.0 1.0 0.0 5.0 525243.0 540672.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 963899400.0 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 -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 8.0 0.0 4.0 0.0 4.0 0.0 2048.0 1024.0 4096.0 6.0 0.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 0.0 -153088.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -265728.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.909226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.073034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.759129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2516437 0.0 5.898484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152809.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268288.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -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 -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 -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 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 -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 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 226396.0 13312.0 102400.0 0.0 0.0 0.0 0.0 3264.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 8192.0 0.0 0.0 316.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.060771503 0.003955008 0.004033584 0.00472622 0.003806586 0.0034049735 0.0035795877 0.0030266433 0.00447885 0.0040626866 0.003917175 0.0031255912 0.0040976093 0.003620331 0.0046447334 0.0034544475 0.003221629 0.003535934 0.004120891 0.003407884 0.0030586557 0.0041238014 0.0035563058 0.003521383 0.0034369861 0.0030673866 0.0028316574 0.003035374 0.0031023093 0.0032914744 0.0041761855 0.0033700508 0.003349679 0.004074327 0.0034573579 0.0033438588 0.002837478 0.0034951908 0.0033875122 0.0034748192 0.003035374 0.003271103 0.0031052195 0.0029364259 0.0030819376 0.0042518517 0.0029655283 0.0038007654 0.0037192788 0.0037745733 0.0035824978 0.004967769 0.003521383 0.0037920347 0.0034486272 0.0030295535 0.0033904223 0.0031517833 0.0029306056 0.003509742 0.0029771691 0.0042780438 0.002837478 0.0033031155 0.0054537784 0.004516683 0.0034311656 0.0029946307 0.0053053563 0.011681679 0.0032332698 0.004458478 0.0049852305 0.004342069 0.0034515373 0.0029655283 0.0035533956 0.0049444875 0.004042315 0.0029567976 0.0051976778 0.0042081983 0.0031459627 0.0041034296 0.00348355 0.00410634 0.0041034296 0.004289685 0.004027764 0.0033816916 0.0040248535 0.0029800795 0.003297295 0.0032914744 0.003957918 0.0031401424 0.003646523 0.0031255912 0.003035374 0.0043857223 0.003955008 0.004283864 0.0044381064 0.0034137042 0.003422435 0.0033438588 0.0054595987 0.003745471 0.0036581638 0.0035417546 0.0040917885 0.0032681925 0.003920085 0.0032449106 0.004443927 0.003087758 0.003422435 0.0034137042 0.0033293075 0.0029335157 0.003099399 0.005025974 0.0042722235 0.0034573579 0.003349679 0.0043333382 0.0033089358 0.0032332698 0.0045981696 0.0036377923 0.0035621263 0.0035330239 0.0040044817 0.0041267117 0.003422435 0.0030382841 0.0041238014 0.004379902 0.0040132124 0.00697292 0.0033409484 0.0041150707 0.004446837 0.0028782212 0.0040306738 0.0027589016 0.0030964888 0.0044497475 0.003559216 0.0034253453 0.0030179124 0.003349679 0.0033554996 0.0033409484 0.003809496 0.0034195248 0.003023733 0.0033758713 0.0032623722 0.003509742 0.0030586557 0.0029946307 0.0032681925 0.0029917203 0.0033875122 0.003372961 0.0028432985 0.002886952 0.0034282554 0.0029655283 0.0029218749 0.0037250994 0.0035533956 0.0027967347 0.0032420005 0.0032303596 0.0035126521 0.0027239788 0.0033147563 0.0028432985 0.0029218749 0.003209988 0.003410794 0.0029771691 0.0036930868 0.0034049735 0.00348355 0.0035446647 0.0035766773 0.004147083 0.0031226808 0.0028811316 0.0030964888 0.003160514 0.0050608967 0.004170365 0.0029975409 0.003349679 0.010753314 0.0033875122 0.0030324636 0.0030470148 0.0033031155 0.0033962429 0.0061464137 0.0029218749 0.0033263974 0.0030790274 0.0038677007 0.004056866 0.003148873 0.0032623722 0.0042867744 0.0027792733 0.004420645 0.003399153 0.0034981011 0.004531234 0.0030324636 0.0029073237 0.0039637387 0.0030644762 0.0035184727 0.0029073237 0.0036377923 0.0033089358 0.0034486272 0.003087758 0.0029917203 0.0037250994 0.0035242932 0.004027764 0.005837929 0.0034951908 0.0028607599 0.0030179124 0.004167455 0.003012092 0.0035126521 0.003335128 0.0035301137 0.0036436128 0.0035330239 0.0032420005 0.004577798 0.0042256596 0.004152904 0.0034049735 0.0040015713 0.0043740813 0.003434076 0.0033322177 0.0050230636 0.0030790274 0.0041354424 0.0066382433 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.055919897 0.051849913 0.05101808 0.054202143 0.05137625 0.05370509 0.05477375 0.054830767 0.053861514 0.05180898 0.048576675 0.05077394 0.050854348 0.0540925 0.052009262 0.05465826 1553.0 7.553123 11730.0 0.008098892 0.006564365 0.0062233587 0.0057971017 0.005882353 0.0069906223 0.0056265984 0.0057971017 0.006734868 0.0057971017 0.006052856 0.0051150895 0.0061381073 0.005541347 0.006734868 0.004518329 0.0059676045 0.0056265984 0.0064791134 0.008780904 0.0054560956 0.018073317 0.0061381073 0.006564365 0.0063086106 0.006734868 0.006734868 0.0061381073 0.004518329 0.0064791134 0.005541347 0.0051150895 0.006393862 0.033333335 0.0059676045 0.006564365 0.062574595 0.006905371 0.019011082 0.03606138 0.01884058 0.034356352 0.0057971017 0.005200341 0.0063086106 0.0080136405 0.03307758 0.0057971017 0.03537937 0.0069906223 0.0059676045 0.006905371 0.0059676045 0.017988065 0.006393862 0.0071611255 0.033930093 0.0068201195 0.00571185 0.005541347 0.005200341 0.0052855923 0.006052856 0.009462915 0.0059676045 0.009633418 0.0064791134 0.007843138 0.011167945 0.016794544 0.0070758737 0.009036658 0.0061381073 0.009633418 0.0068201195 0.018414322 0.009803922 0.022080136 0.02293265 0.009803922 0.019181585 0.005200341 0.035123616 0.009462915 0.012787724 0.0068201195 0.0054560956 0.005882353 0.0061381073 0.005882353 0.006052856 0.005370844 0.0054560956 0.0062233587 0.0062233587 0.005882353 6.17663 0.0 0.0 0.0 9.0 343615.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 -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 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -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 -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 -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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -1.0 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 1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 2.0 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 -1.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0