Input: 0.28100768 0.009084676 0.0062013827 0.0046447106 0.0030519974 0.004237522 0.0019592596 0.003021324 0.012384362 0.0016011484 0.0022721277 0.002308169 0.004648545 0.00081514404 0.0017790538 0.009003392 0.0034177771 0.0026885183 0.00079904054 0.0006211352 0.0016532931 0.0008695892 0.000608099 0.0006579432 0.0017598829 0.00069475116 0.0007545642 0.00037344793 0.00090256304 0.00041792428 0.00072772504 0.0031631882 0.0117908325 0.0008711229 0.0037536502 0.0016011484 0.0021110927 0.0014891907 0.002270594 0.0006610105 0.0018311985 0.00060733216 0.0008097762 0.0025305506 0.0009608424 0.0010106866 0.0033617981 0.002340376 0.0026141354 0.0015842781 0.0019515913 0.005697573 0.002234553 0.0012039286 0.0024438985 0.001211597 0.0019331874 0.0016057494 0.0012698764 0.0025305506 0.0016732308 0.0018871773 0.0011602191 0.002869491 0.0077427183 0.003666998 0.003068101 0.0057029407 0.009221173 0.007523404 0.0011770895 0.0011763226 0.001994534 0.001529066 0.0013557617 0.0009010294 0.00257426 0.0038625405 0.0033035188 0.0027928078 0.010299341 0.0016916348 0.008557863 0.0035266674 0.0038357014 0.0049177036 0.0006832487 0.010228026 0.001055163 0.0018373331 0.009166728 0.0009301691 0.0011947267 0.001386435 0.00092556805 0.0018189291 0.0021241289 0.010506386 0.0018419342 0.00438092 0.0051945304 0.009172862 0.0065986025 0.0016893343 0.0031348155 0.0063509154 0.0048494553 0.00086115405 0.0049023665 0.0032114987 0.0048172483 0.008065555 0.006190647 0.0014477817 0.007841639 0.006127767 0.008130736 0.0046408763 0.0016425574 0.015173335 0.0020535802 0.0013756993 0.0023518784 0.0004508981 0.0027007877 0.0015229314 0.00041792428 0.001920918 0.011435788 0.004695322 0.0038280329 0.0061461707 0.002242988 0.0028671906 0.0016218529 0.001183991 0.044388928 0.0035036623 0.0013273888 0.0115094045 0.0013151196 0.0029814488 0.0005122448 0.0035251337 0.004510515 0.00059429597 0.0011287789 0.00046316744 0.0011870583 0.001022956 0.00031440175 0.0005352498 0.0009991841 0.0020474456 0.00039798662 0.00040795543 0.0008488847 0.00048310513 0.00044016243 0.003285115 0.0010076193 0.0008557862 0.00073079235 0.00069168385 0.00075303053 0.0004294268 0.00043786195 0.0004554991 0.00060963264 0.00043096044 0.0012921145 0.00046163378 0.00095930876 0.0012369024 0.00072159036 0.00080900936 0.0017476137 0.00082434603 0.0005007423 0.001934721 0.0013166532 0.001068966 0.00060426485 0.0006610105 0.0012292342 0.00051991316 0.0008603872 0.0011410483 0.0013687978 0.0015842781 0.0010843027 0.0015681746 0.0059314575 0.0019155502 0.0010037851 0.001861105 0.004513582 0.00028756258 0.0009738786 0.0076108226 0.0014017717 0.0010843027 0.0006978185 0.00040642178 0.0038272662 0.00032130326 0.0004439966 0.001211597 0.0011303126 0.00039798662 0.00059046183 0.00028219473 0.00081821135 0.00050917745 0.00047620363 0.00043172727 0.0008879932 0.0004685353 0.00043326095 0.0005958296 0.001193193 0.00065871 0.00045856644 0.0006640778 0.0017874889 0.0007499632 0.00051301165 0.00037804892 0.00076069887 0.0007162225 0.00051301165 0.00040642178 0.005740516 0.0012591407 0.0008366154 0.0017652508 0.002054347 0.00056438945 0.0008051752 0.00065871 0.0043326095 0.0005015091 0.0005099443 0.0010896705 0.0014362792 0.00033510625 0.0005689905 0.0019408556 0.0034078083 0.0008166777 0.00067864766 0.0006518085 0.0026923525 0.0015574389 0.0017399453 0.061753105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008395213 0.0 1.9193446e-06 0.0006748415 0.00010095752 0.0012506449 0.00022494717 0.00016928618 0.0038137375 3.186112e-05 0.0 1.4970888e-05 2.7638562e-05 2.6103085e-05 2.6870823e-05 0.00065833516 0.00082646974 1.2283805e-05 7.677379e-06 2.111279e-05 6.7560926e-05 0.00062877726 8.6370506e-05 0.00032744018 0.00548779 4.0690105e-05 0.0 2.3032135e-05 3.3396595e-05 1.72741e-05 7.677379e-06 0.0034187364 0.016012324 0.00019462153 0.0011001683 0.00075353467 0.00033281435 0.0014214666 0.0014341342 0.0011327971 0.0021803754 0.00019078284 0.00010518008 0.00012629287 0.00017888291 0.0001927022 0.00019769248 0.0011757904 0.003353095 0.00021765367 7.9844736e-05 0.00016467976 0.00032628857 0.0010901877 0.00022417944 0.0013596637 0.00012706062 2.6486954e-05 3.147725e-05 4.4144923e-05 4.6832007e-05 5.259004e-05 5.4125518e-05 0.0006633255 0.01870478 0.00033012725 0.0020955403 0.00074854435 0.0013216607 0.00150515 0.0059898905 0.0063058147 0.004082446 0.00022916973 0.00010940264 0.00017389262 0.0007531508 7.562218e-05 0.00015239595 0.0038060602 0.16760983 0.003138896 0.011860398 0.003689748 0.010596701 0.012010874 0.033306386 0.01576089 0.010648907 0.0010137978 0.0010141816 0.00085218897 0.0016537072 0.00096619804 0.001007272 0.015750526 0.03572054 0.0013696443 0.0050263796 0.0017849904 0.0065902616 0.0035933969 0.010999763 0.009796334 0.01030189 0.00074278633 0.00049672637 0.0006222515 0.0015777012 0.0003285918 0.0005040199 0.006456675 0.026323043 0.002099379 0.005042886 0.0025792152 0.006117335 0.0045626657 0.0061035156 0.007916145 0.016848775 0.0015700238 0.0013301058 0.0014913307 0.0030728707 0.00046025883 0.0008245504 0.0103560155 0.016635727 0.0021550402 0.003642916 0.0123429205 0.0068862243 0.0091752345 0.0030406257 0.006825189 0.0138162095 0.002799556 0.0029001296 0.004375722 0.007510011 0.0010656201 0.0019665605 0.008635899 0.014196624 0.002790727 0.0035388875 0.003458659 0.0062490017 0.0076055946 0.0027738367 0.0031934055 0.005340768 0.0043872376 0.0015423853 0.002743895 0.0032659566 0.0008967178 0.002158111 0.008185237 0.038649075 0.005876649 0.0042183353 0.0050087217 0.014034631 0.013653065 0.00970459 0.0074946564 0.023524638 0.004883196 0.0024410223 0.004635985 0.010389028 0.0033289113 0.00926314 0.018994985 0.009080035 0.0019055252 0.0014191633 0.0026655856 0.0049891444 0.005571089 0.003847902 0.003733125 0.006918853 0.0027650078 0.0019212639 0.0029131812 0.004936554 0.0025723055 0.003329295 0.005897378 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8131.0 19.234535 156396.0 0.021119466 0.0015217781 0.021247346 0.0061446587 0.009111486 0.0014706259 0.0025320342 0.001732781 0.005537226 0.00056906824 0.0019693598 0.011432517 0.0028133711 0.0029732217 0.0076216785 0.0023657894 0.004565334 0.0051471903 0.007039822 0.027909921 0.0074937977 0.00249367 0.007890227 0.0049361875 0.005275071 0.0057418346 0.002730249 0.007122944 0.004226451 0.006304509 0.003523108 0.0075129797 0.015505511 0.011656309 0.0044374536 0.007122944 0.024623392 0.0052558887 0.0036126242 0.0023274252 0.0039451136 0.0049170055 0.0049425815 0.005524438 0.012781657 0.005997596 0.007960562 0.0067009386 0.004552546 0.0003964296 0.048991024 0.0074937977 0.02325507 0.003299317 0.0018095092 0.080871634 0.0012148648 0.0011765007 0.07328832 0.0006713727 0.0012340469 0.00087598147 0.004980946 0.0066945446 0.003465562 0.023613136 0.00800532 0.01095936 0.010831479 0.022660427 0.021925114 0.004814701 0.004252027 0.015339267 0.0015921124 0.0009527098 0.011899281 0.008286657 0.012276528 0.017481266 0.022506969 0.00846569 0.018638585 0.023331799 0.017724238 0.006278933 0.006752091 0.092240214 0.0036062303 0.0016944167 0.008241898 0.00025576103 0.006336479 0.0018478733 0.0008248293 0.004706003 5.7015805 0.0 0.0 0.0 2.0 1304064.0 1286144.0 0.0 141.0 1019.0 1.0 1.0 0.0 1.0 0.0 1047582600.0 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 0.0 0.0 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 3.0 10.0 241664.0 2560.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -22016.0 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 -57344.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 -241152.0 -36864.0 896000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.517984 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.20448816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.772265 0.0 0.0 0.0 0.0 0.0 5.59841 0.0 0.0 -6.2831755 -5.5416794 5.415572 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 -241664.0 -36864.0 897024.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -2.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 2.0 -1.0 1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 2.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 4.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 1.0 1.0 2.0 1.0 2.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 1.0 1.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 -1.0 1.0 0.0 0.0 -3.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 1.0 2.0 2.0 -2.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 0.0 -3.0 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 1.0 0.0 1.0 1.0 0.0 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 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 -1.0 0.0 -2.0 2.0 2.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 2.0 -1.0 1.0 1.0 3.0 2.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 1.0 0.0 1.0 0.0 -2.0 -1.0 0.0 1.0 -2.0 0.0 -1.0 0.0 2.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 0.0 -1.0 -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 2.0 0.0 3.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 3.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 1.0 2.0 1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 2.0 -1.0 2.0 -1.0 2.0 0.0 -3.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 2.0 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 -2.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 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 2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 1.0 -2.0 -2.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 -3.0 0.0 2.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 4.0 -2.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 -1.0 2.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 4.0 1.0 0.0 0.0 -1.0 -2.0 0.0 1.0 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 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -2.0 1.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 3.0 -2.0 0.0 1.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 1.0 -2.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 2.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 3.0 -1.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 1.0 -2.0 0.0 -2.0 -1.0 1.0 1.0 -1.0 2.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -3.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 -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 -2.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 1.0 -4.0 0.0 1.0 2.0 0.0 -1.0 0.0 1.0 0.0 1.0 2.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 2.0 2.0 0.0 0.0 0.0 2.0 1.0 1.0 0.0 3.0 -1.0 0.0 3.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 5551.0 356352.0 36803.0 319488.0 896000.0 364544.0 0.0 0.0 0.0 0.0 21888.0 1261568.0 0.0 0.0 31.0 244922.0 0.0 0.0 24.0 315392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.52415866 0.004266827 0.0010817308 0.0013822116 0.0048978366 0.0006911058 0.0008112981 0.00030048078 0.00021033654 0.00075120194 0.0014423077 0.00018028847 0.00024038462 0.0012019231 0.00018028847 0.00021033654 0.0006911058 3.0048077e-05 9.014423e-05 9.014423e-05 6.0096154e-05 0.00012019231 0.00015024039 9.014423e-05 0.00012019231 6.0096154e-05 0.00012019231 0.0 3.0048077e-05 0.0 0.00012019231 3.0048077e-05 0.070883416 0.0038461538 9.014423e-05 6.0096154e-05 0.00018028847 0.0020432693 0.00015024039 0.00015024039 0.00042067308 0.0002704327 3.0048077e-05 3.0048077e-05 0.0017728365 0.00012019231 0.00688101 0.00018028847 0.0013822116 0.0016826923 0.0017127404 0.000390625 0.0005408654 0.00012019231 0.00012019231 0.00015024039 0.00033052886 0.0 0.00078125 6.0096154e-05 0.00015024039 9.014423e-05 9.014423e-05 3.0048077e-05 0.00036057693 0.002313702 0.0005408654 0.00051081734 0.0036358172 0.00021033654 0.0006911058 0.0028846154 0.00018028847 0.0024038462 0.00018028847 0.00018028847 0.0010216347 0.0009915866 0.0020132212 0.00075120194 0.0025240385 0.00012019231 0.0011117789 0.0010516827 0.0013221154 0.00024038462 0.0002704327 0.00045072116 0.0017427885 0.00012019231 0.00012019231 0.00030048078 9.014423e-05 0.0 3.0048077e-05 0.00012019231 6.0096154e-05 0.05450721 0.004266827 0.0012920673 0.005378606 0.037409857 0.0033052885 0.023557693 0.008022836 0.015324519 0.00075120194 0.009314904 0.017397836 0.011688702 0.018990384 0.040835336 0.0032752403 3.0048077e-05 0.008984375 0.022836538 0.019861778 0.0016526442 0.00024038462 0.005558894 0.00033052886 0.006610577 9.014423e-05 6.0096154e-05 0.0002704327 6.0096154e-05 3.0048077e-05 0.00012019231 0.0014122596 6.0096154e-05 6.0096154e-05 9.014423e-05 0.0 0.0 3.0048077e-05 0.0 0.00024038462 6.0096154e-05 9.014423e-05 3.0048077e-05 0.00033052886 6.0096154e-05 0.0 9.014423e-05 9.014423e-05 0.00012019231 0.0002704327 6.0096154e-05 3.0048077e-05 9.014423e-05 0.0 0.00015024039 0.0002704327 3.0048077e-05 0.0 3.0048077e-05 0.0 0.0 0.0 0.0 0.0002704327 6.0096154e-05 3.0048077e-05 6.0096154e-05 9.014423e-05 0.0 0.0 0.0 9.014423e-05 9.014423e-05 9.014423e-05 6.0096154e-05 0.00015024039 9.014423e-05 0.00015024039 6.0096154e-05 0.00021033654 6.0096154e-05 6.0096154e-05 0.0 6.0096154e-05 3.0048077e-05 0.0 3.0048077e-05 0.00036057693 0.0 3.0048077e-05 0.0 3.0048077e-05 9.014423e-05 3.0048077e-05 3.0048077e-05 9.014423e-05 0.0 9.014423e-05 6.0096154e-05 0.00012019231 0.00021033654 3.0048077e-05 0.0 0.00015024039 0.0 9.014423e-05 6.0096154e-05 6.0096154e-05 0.00012019231 0.0 0.0 0.00012019231 3.0048077e-05 3.0048077e-05 0.0 3.0048077e-05 3.0048077e-05 0.0 6.0096154e-05 0.00015024039 0.0 0.0 0.0 0.00015024039 0.00012019231 6.0096154e-05 3.0048077e-05 6.0096154e-05 3.0048077e-05 3.0048077e-05 0.0 0.0010516827 3.0048077e-05 6.0096154e-05 3.0048077e-05 0.00015024039 3.0048077e-05 3.0048077e-05 6.0096154e-05 0.0 0.0 9.014423e-05 0.00012019231 0.00018028847 3.0048077e-05 0.00012019231 9.014423e-05 0.0 0.0 0.0 0.0 0.00030048078 3.0048077e-05 3.0048077e-05 6.0096154e-05 6.0096154e-05 3.0048077e-05 0.00012019231 0.00012019231 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.052120086 0.0005197833 0.0009765625 0.0014490928 0.0007875504 0.00069304433 0.0014963457 0.0010553176 0.0018586189 0.00037802418 0.00050403224 0.00050403224 0.00045677923 0.00048828125 0.0007875504 0.0004410282 0.2007466 3.1502015e-05 0.036668345 0.0003622732 0.0030399445 0.0015751008 0.11425781 0.02984816 9.4506046e-05 0.00017326108 0.00015751008 3.1502015e-05 3.1502015e-05 1.5751008e-05 6.300403e-05 0.0 0.27335873 0.0007717994 0.04909589 0.004457535 0.0053553428 0.0036857359 0.13742754 0.038495462 0.00045677923 0.00048828125 0.00037802418 0.00028351814 0.00037802418 0.0002205141 0.0008033014 0.00047253023 0.017845891 0.00017326108 0.0034967237 0.00067729334 0.00037802418 0.00037802418 0.0067256805 0.001905872 3.1502015e-05 6.300403e-05 9.4506046e-05 4.7253023e-05 0.00014175907 0.0 0.00011025705 0.00018901209 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 59.875 479.0 0.014613778 0.0020876827 0.0 0.0 0.006263048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014613778 0.0 0.0041753654 0.0020876827 0.0020876827 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020876827 0.10229645 0.0 0.0 0.20668058 0.0 0.0 0.10229645 0.0 0.10229645 0.0 0.0 0.0 0.0 0.10229645 0.0020876827 0.10229645 0.0 0.0 0.0020876827 0.0020876827 0.0 0.0 0.0 0.10229645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016701462 0.0041753654 0.008350731 0.010438413 0.0041753654 0.0 0.0041753654 0.0020876827 0.0041753654 0.0 0.0 0.0 0.0041753654 0.008350731 0.006263048 0.0020876827 0.0 0.025052192 0.008350731 0.008350731 0.0020876827 0.0 0.0 0.0 0.0 0.006263048 0.0 0.0 0.0 0.0 0.0 3.7196903 0.0 0.0 0.0 1.0 33280.0 40960.0 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 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 10.0 0.0 14.0 12.0 10.0 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 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.072495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.3407402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 31864.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 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: 0.23634326 0.013270652 0.005306747 0.0048222505 0.0074945493 0.002377059 0.0025587452 0.002581456 0.0075551113 0.0020288276 0.0019758358 0.0015443314 0.005950218 0.0020666788 0.0012718023 0.0050569284 0.0061697555 0.0010901163 0.0007191739 0.0009235707 0.0034747457 0.0027252906 0.0014837694 0.0009841328 0.0035504482 0.00085543847 0.0008478682 0.00093114097 0.0013172239 0.0010976866 0.00093114097 0.001052265 0.005798813 0.0011582485 0.0017108769 0.0010674056 0.0044437377 0.0009462815 0.001052265 0.0021121004 0.001559472 0.00076459546 0.0007721657 0.0018092903 0.0010901163 0.0007040334 0.000961422 0.00060562015 0.003399043 0.0012718023 0.0015443314 0.0047692587 0.0019758358 0.0019985465 0.0015443314 0.0013702156 0.003247638 0.0031038034 0.0022710755 0.0048601017 0.0019001332 0.0027555716 0.0017865795 0.0012566618 0.004632994 0.01082546 0.0013172239 0.003701853 0.0048752422 0.0072144503 0.0024981832 0.0019379845 0.001892563 0.0016124636 0.000779736 0.0009235707 0.0025057534 0.0042999033 0.0017260174 0.0013702156 0.006412003 0.0028161337 0.0016881662 0.004897953 0.0015670422 0.0026874393 0.0041030766 0.0030508116 0.0013929263 0.004595143 0.0005374879 0.0018698522 0.001983406 0.0034898862 0.0020818193 0.0015291909 0.0012415213 0.0027858526 0.0011279675 0.0019152737 0.0019909763 0.004746548 0.0020591086 0.0010825461 0.0034368944 0.0028009932 0.0044740187 0.0006510417 0.0023694888 0.0015519017 0.0026950096 0.0031416547 0.0031946462 0.00064347143 0.0036942828 0.0026344478 0.0104318075 0.0117641715 0.0015064802 0.0022332242 0.0018547117 0.0010371245 0.00057533913 0.0005601986 0.00089328975 0.0024376211 0.0009235707 0.0014383479 0.0047011264 0.0015140504 0.0006888929 0.010810319 0.0029675388 0.005556565 0.0005980499 0.00041636385 0.002853985 0.007335574 0.002157522 0.017479712 0.001021984 0.005745821 0.00057533913 0.00052991766 0.0011052567 0.00029523982 0.0004087936 0.00040122334 0.0009235707 0.0007873062 0.0004239341 0.0004239341 0.00054505817 0.00047692587 0.00044664487 0.00035580184 0.0007191739 0.0008857195 0.00059047964 0.0006737524 0.00081001694 0.0012642321 0.00081001694 0.0020969599 0.00096899224 0.00054505817 0.0009841328 0.001559472 0.0011052567 0.00037094235 0.0018774224 0.0005601986 0.017366158 0.00049963663 0.0007570252 0.00074945495 0.0054278704 0.0008327277 0.0005374879 0.00049963663 0.0026495883 0.00082515745 0.0024300509 0.0015216207 0.001953125 0.0010295543 0.0042999033 0.00043150436 0.0009387112 0.0007873062 0.0017941497 0.007630814 0.0062076068 0.002460332 0.001052265 0.004118217 0.0032627785 0.00044664487 0.00210453 0.004140928 0.0017184472 0.0016730257 0.00068132265 0.00069646316 0.0036640018 0.00051477714 0.0005374879 0.00073431444 0.0014307776 0.0010598353 0.0012490916 0.00096899224 0.00073431444 0.0004087936 0.0013172239 0.0009235707 0.0017790092 0.0010749758 0.001021984 0.0014913396 0.001983406 0.0005829094 0.001021984 0.0004239341 0.0019304142 0.00047692587 0.00034823158 0.0004693556 0.0022635052 0.0014989099 0.0006888929 0.0005374879 0.011468932 0.0017033067 0.00037094235 0.0041333577 0.0032552083 0.00069646316 0.00064347143 0.00043907462 0.0033460513 0.000870579 0.0006737524 0.00085543847 0.0015443314 0.0006131904 0.0016503149 0.0015746125 0.004345325 0.018796936 0.0063135903 0.0016276041 0.004148498 0.0036185805 0.0040349443 0.14656764 0.0078125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017433167 0.00077438354 5.340576e-05 0.0 0.0 0.00011062622 0.00044631958 1.1444092e-05 0.0 0.0 0.00032043457 0.00035095215 0.00016784668 1.5258789e-05 0.0 0.050693512 0.014007568 0.00045013428 7.6293945e-05 0.0001296997 3.4332275e-05 1.5258789e-05 8.010864e-05 0.00012588501 0.00024032593 2.2888184e-05 0.00016403198 3.8146973e-06 0.00017929077 0.00036621094 1.1444092e-05 0.0075302124 0.020492554 0.00077819824 0.0010719299 0.00016403198 0.0012741089 0.0010261536 0.00030136108 0.00023269653 8.010864e-05 0.00017547607 0.001083374 0.000289917 8.392334e-05 8.392334e-05 9.1552734e-05 0.01964569 0.012386322 0.00076675415 0.00062179565 0.0002593994 0.00088882446 0.00044250488 0.00020980835 0.00015258789 0.0001373291 6.1035156e-05 0.00048828125 0.00019836426 7.6293945e-05 8.773804e-05 3.4332275e-05 0.006626129 0.011413574 0.00022506714 0.00022888184 0.0013656616 0.0005569458 0.00018310547 0.0001335144 0.00019073486 0.00032806396 8.773804e-05 0.00017929077 8.392334e-05 0.00011062622 9.1552734e-05 0.00024414062 0.00020217896 0.020446777 0.0015678406 0.0018005371 0.001033783 0.0017242432 0.0015296936 0.00064468384 0.00059890747 0.0006828308 0.0006713867 0.0110321045 0.0039367676 0.00023269653 0.00078964233 0.00021362305 0.023406982 0.012931824 0.0005340576 0.00049591064 0.00030136108 0.0016441345 0.00075149536 0.0020637512 0.0011711121 0.0002822876 9.536743e-05 9.1552734e-05 0.00019454956 0.00011062622 0.00022125244 0.000289917 0.0022583008 0.03183365 0.0010681152 0.0027694702 0.0010757446 0.002746582 0.0017089844 0.008956909 0.0061149597 0.0012664795 0.0009727478 0.0042495728 0.0020713806 0.0008010864 0.0023956299 0.0011444092 0.01676178 0.03469467 0.0015411377 0.0027770996 0.0016670227 0.0023345947 0.0019416809 0.005207062 0.0036773682 0.0015525818 0.0014381409 0.004360199 0.011463165 0.001121521 0.0026817322 0.0013427734 0.008136749 0.028388977 0.0014190674 0.0032348633 0.00825119 0.0038833618 0.0026779175 0.005844116 0.005268097 0.0025367737 0.0012702942 0.0038871765 0.0069274902 0.0015487671 0.0017662048 0.0014839172 0.007549286 0.00674057 0.0005531311 0.0011787415 0.0048980713 0.0021324158 0.0012435913 0.0019760132 0.0016517639 0.001663208 0.0005493164 0.0019836426 0.001991272 0.00060653687 0.00061416626 0.00075531006 0.0027122498 0.0527153 0.008766174 0.00749588 0.009719849 0.019062042 0.015449524 0.006526947 0.0116996765 0.02973175 0.0019569397 0.0023612976 0.0034484863 0.014102936 0.003921509 0.011528015 0.028076172 0.042102814 0.009807587 0.004863739 0.010463715 0.016052246 0.01789093 0.0058288574 0.015205383 0.026950836 0.002216339 0.0023727417 0.002872467 0.0150642395 0.0045280457 0.01399231 0.02853775 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 665.0 13.845113 9207.0 0.044096883 0.0017378082 0.0023894862 0.0010861302 0.0035842294 0.0018464212 0.0008689041 0.0016291952 0.0031497774 0.0028239384 0.0016291952 0.0034756165 0.0023894862 0.0036928423 0.0048875855 0.0036928423 0.01444553 0.0060823285 0.008471815 0.006625394 0.007168459 0.008145976 0.007168459 0.0054306504 0.01010101 0.009992397 0.009992397 0.007277072 0.008689041 0.008797654 0.009666558 0.005973716 0.0029325513 0.016183339 0.0043445206 0.010644075 0.022157054 0.016835017 0.006951233 0.01259911 0.007820137 0.010535462 0.0048875855 0.0028239384 0.008145976 0.011730205 0.009557945 0.005973716 0.03095471 0.0048875855 0.009666558 0.037905943 0.008145976 0.0057564895 0.016183339 0.012381883 0.0054306504 0.0024980993 0.0023894862 0.0024980993 0.0041272943 0.0027153252 0.0028239384 0.0024980993 0.0024980993 0.02889106 0.0046703597 0.01694363 0.017486695 0.05658738 0.0067340066 0.009340719 0.010535462 0.030303031 0.0032583904 0.0033670033 0.024112089 0.012707722 0.030303031 0.035842296 0.017486695 0.0028239384 0.03453894 0.022591507 0.040947106 0.014228305 0.0049961987 0.017486695 0.010535462 0.008471815 0.0026067123 0.0014119692 0.0017378082 0.0008689041 0.0014119692 0.0022808732 5.982803 0.0 0.0 0.0 3.0 132096.0 286720.0 1.0 0.0 131.0 1.0 1.0 0.0 0.0 0.0 1536828500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 58880.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58880.0 0.0 50176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8205643 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.51195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.926278 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6017103 0.0 4.3324566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5414.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10822.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -146948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58682.0 0.0 49968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 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 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 73364.0 49968.0 225280.0 0.0 0.0 0.0 0.0 3224.0 278528.0 28.0 66160.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 71976.0 0.0 0.0 552.0 65536.0 0.0 0.0 0.0 0.0


Input: 0.009812415 0.0047787055 0.004754253 0.0049358997 0.005093094 0.004530688 0.004771719 0.004432878 0.0048695286 0.004125476 0.0043385616 0.0047088414 0.00437 0.0039997203 0.0041883537 0.004177874 0.0045865793 0.0043874662 0.0041464353 0.0038669787 0.00429315 0.0038495127 0.004080064 0.0039997203 0.004094037 0.004121983 0.0038564992 0.0037132776 0.0040660915 0.0037901283 0.004041639 0.0037482097 0.004446851 0.003804101 0.004059105 0.00410801 0.0040032137 0.0037901283 0.0035735494 0.0037621825 0.004055612 0.0036923185 0.003954309 0.0037901283 0.004027666 0.0038564992 0.0037971146 0.0036993048 0.004212806 0.0037691689 0.004142942 0.0037517028 0.0038390332 0.0037551962 0.0038495127 0.0037831417 0.0040346524 0.003957802 0.0037307437 0.0040171864 0.0039787614 0.0035875223 0.0038006078 0.0036049883 0.004415412 0.0038425263 0.0038425263 0.0037412234 0.0040102 0.0039158836 0.0042058197 0.0036853321 0.003975268 0.0034897125 0.0037447165 0.0037482097 0.0038774584 0.0037517028 0.003786635 0.0035281377 0.0043909596 0.004139449 0.0036399204 0.0038285535 0.0041010235 0.003804101 0.004041639 0.0037796486 0.0039682817 0.0039158836 0.0036888253 0.0036993048 0.0036783456 0.0038285535 0.0038250603 0.0036538932 0.0037586894 0.0037517028 0.0037307437 0.0038390332 0.0038949244 0.0039997203 0.0038320466 0.0037761554 0.0038809516 0.0038285535 0.0039019107 0.0036329338 0.004006707 0.0039333496 0.0040521184 0.0038879379 0.0039473223 0.0032312153 0.0041010235 0.0039019107 0.0045586335 0.0044747964 0.0040171864 0.0039962274 0.0038564992 0.0037726623 0.0038425263 0.0035211514 0.0038145806 0.0038250603 0.0036224544 0.0038006078 0.0043071224 0.004125476 0.0038914313 0.004394453 0.003971775 0.004226779 0.0038844447 0.0036713593 0.00391239 0.0040346524 0.0042582178 0.00446781 0.00409753 0.0043874662 0.0036049883 0.0034757396 0.0039822543 0.0039822543 0.0037761554 0.0034897125 0.0037796486 0.0035805358 0.0037062913 0.0033988892 0.003786635 0.003395396 0.0036014952 0.0038355398 0.0035176582 0.0034582736 0.0038006078 0.0033255317 0.0042512314 0.0037412234 0.0039473223 0.0038250603 0.0036713593 0.0037761554 0.0035910155 0.003395396 0.0036783456 0.0036573864 0.0036643727 0.0034163552 0.0037621825 0.0039019107 0.0038250603 0.0034443007 0.0039158836 0.0037097845 0.0038460195 0.0038180738 0.0035805358 0.0036469067 0.0042721904 0.00391239 0.0038739652 0.0036364272 0.0038984176 0.0037447165 0.0037482097 0.0035176582 0.0037621825 0.0037621825 0.0040521184 0.00410801 0.0039612954 0.003804101 0.0038006078 0.0035281377 0.0036434135 0.0037237573 0.0042232857 0.0039298562 0.0037202642 0.0037831417 0.0035875223 0.0036573864 0.0036538932 0.0036713593 0.0042512314 0.0036399204 0.0035910155 0.0036538932 0.0037447165 0.0036119747 0.0037831417 0.0036224544 0.003992734 0.0036469067 0.0038809516 0.0038774584 0.0038285535 0.004024173 0.003940336 0.0035281377 0.0040346524 0.0035560834 0.0034792328 0.0038425263 0.0037237573 0.0032731337 0.0035770426 0.0033639572 0.0040032137 0.0035281377 0.0038949244 0.0043315752 0.0039682817 0.0036189612 0.0036643727 0.0037726623 0.0044573303 0.0036399204 0.0036503999 0.0034792328 0.0037132776 0.0036573864 0.004006707 0.0036923185 0.0038215672 0.0036853321 0.0036014952 0.0039822543 0.0036853321 0.0037132776 0.0037621825 0.0047298004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0031439692 0.0002652175 0.00025643548 0.00020725607 0.00027926877 0.000284538 0.00039519166 0.00033020458 0.00033723022 0.00020023044 0.00020198686 0.00025116626 0.00026697392 0.00022306373 0.0002652175 0.0002862944 0.0013313568 0.0002862944 0.00024414062 0.00014753822 0.00014929463 0.0001194357 0.00012119211 0.00013524336 0.00018617918 8.4307554e-05 5.971785e-05 0.0001194357 9.660241e-05 0.000115922885 0.00013699978 0.00026346112 0.00079565257 0.00035303787 0.00027399955 0.0001914484 0.00018617918 0.00012470492 0.00026697392 0.0002862944 0.00014578181 0.00014753822 9.133318e-05 0.00015983307 7.9038335e-05 0.00016158947 0.00010889726 0.00022482015 0.0714366 0.06384892 0.061742987 0.061388195 0.061000027 0.061479528 0.06093153 0.061630577 0.064170346 0.05804048 0.059306853 0.060213156 0.06048716 0.06014466 0.059187416 0.06060308 1446.0 5.784232 8364.0 0.014945002 0.0088474415 0.011716882 0.010999522 0.010879962 0.0105212815 0.011119082 0.0096843615 0.010282162 0.008249641 0.0105212815 0.009803922 0.010282162 0.0105212815 0.010043042 0.008369202 0.010640842 0.008369202 0.013032042 0.010043042 0.009206122 0.009086561 0.009923481 0.010879962 0.010999522 0.0105212815 0.0088474415 0.010282162 0.010162601 0.0088474415 0.011836442 0.008488761 0.012075562 0.008249641 0.010999522 0.009564801 0.010043042 0.010043042 0.010640842 0.010879962 0.010879962 0.009803922 0.008249641 0.009564801 0.011238642 0.010879962 0.007890961 0.010999522 0.013988522 0.011477762 0.010879962 0.011956002 0.010401722 0.0105212815 0.010999522 0.008608322 0.008608322 0.012075562 0.008249641 0.011119082 0.008369202 0.008488761 0.0088474415 0.012314682 0.011477762 0.011477762 0.009923481 0.011597322 0.012673362 0.0096843615 0.010401722 0.009803922 0.009206122 0.010162601 0.009803922 0.0076518413 0.013749402 0.009923481 0.012673362 0.011836442 0.012434242 0.0076518413 0.0121951215 0.011597322 0.014945002 0.012912482 0.012314682 0.010999522 0.009325681 0.011836442 0.008727881 0.0088474415 0.010282162 0.010162601 0.009445242 0.0074127214 6.569023 0.0 0.0 0.0 3.0 286270.0 176128.0 0.0 0.0 4.0 1.0 1.0 0.0 0.0 0.0 1484698000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 61440.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59392.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -7.91103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.4674382 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 172120.0 88.0 172032.0 0.0 0.0 0.0 0.0 12.0 172460.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.22668679 0.013103693 0.006977983 0.00703125 0.009570313 0.004243608 0.0023082385 0.0030184658 0.0126420455 0.0014737216 0.0021129262 0.0018821022 0.009019886 0.0021129262 0.001899858 0.0055397726 0.008078835 0.00076349435 0.0008700284 0.0049893465 0.003515625 0.0023082385 0.00083451706 0.0019886363 0.002734375 0.0010475853 0.0010475853 0.0006036932 0.0021661932 0.00078125 0.0007990057 0.00046164772 0.01015625 0.0009943182 0.0010298295 0.0006747159 0.001953125 0.0033735796 0.0010298295 0.0005681818 0.002574574 0.0012961648 0.0007990057 0.0016690341 0.0011896307 0.0018821022 0.0025213067 0.00047940342 0.0063742897 0.0026100853 0.0019176137 0.006161222 0.0021306819 0.001615767 0.0022372159 0.002503551 0.0025923296 0.0011541193 0.002059659 0.0042258524 0.0024680397 0.0032670454 0.002627841 0.0025923296 0.022496449 0.0062322444 0.0022727272 0.00456321 0.0030184658 0.011381392 0.002556818 0.0018643466 0.0021484375 0.0015092329 0.0014026988 0.0011363636 0.001615767 0.0051846593 0.0014382103 0.00092329545 0.007421875 0.0022194602 0.003284801 0.0066761365 0.0028764205 0.010387074 0.004012784 0.0027698863 0.001225142 0.005007102 0.0006392045 0.0028409092 0.0013671875 0.006924716 0.0023615058 0.003284801 0.0009943182 0.005557528 0.0012073864 0.004350142 0.0052201706 0.0075461646 0.0060546873 0.0018110796 0.007262074 0.003515625 0.005149148 0.0012073864 0.0040305397 0.003071733 0.004456676 0.0049360795 0.0065518464 0.00065696024 0.006516335 0.005255682 0.016796876 0.012571023 0.0018821022 0.0007990057 0.0040838066 0.002574574 0.00053267047 0.00085227273 0.001171875 0.0044389204 0.0010830966 0.0016335227 0.005646307 0.0026988636 0.0006392045 0.018448154 0.002397017 0.0069957385 0.0007990057 0.00040838067 0.0013494318 0.010174005 0.0015980114 0.03412642 0.00072798296 0.0033380683 0.000390625 0.0004971591 0.008984375 0.00033735795 0.00035511365 0.00023082386 0.0007990057 0.00072798296 0.00024857954 0.00023082386 0.00072798296 0.0003728693 0.0002840909 0.0011896307 0.00069247157 0.00033735795 0.0006036932 0.00026633524 0.00069247157 0.0014026988 0.00012428977 0.0009410511 0.00069247157 0.00033735795 0.00026633524 0.0002840909 0.00092329545 0.00024857954 0.000390625 0.00031960226 0.00051491475 0.00035511365 0.00055042614 0.0002840909 0.0011186079 0.00047940342 0.00069247157 0.0024325284 0.0008877841 0.00051491475 0.0004971591 0.0017578125 0.0026455966 0.0010830966 0.00078125 0.00076349435 0.00083451706 0.0008877841 0.0007102273 0.00078125 0.006800426 0.0014914772 0.0021484375 0.0085759945 0.0075461646 0.00033735795 0.0022549715 0.0038174717 0.0022017045 0.0018288352 0.0010475853 0.0009055398 0.0012961648 0.00083451706 0.0008700284 0.0004971591 0.0023082385 0.0013494318 0.0022904829 0.00081676134 0.0011008523 0.00051491475 0.00078125 0.0010298295 0.0026455966 0.0006036932 0.00055042614 0.003355824 0.0032492897 0.001171875 0.0012073864 0.0014382103 0.0031427557 0.00078125 0.0009943182 0.00046164772 0.0013316761 0.0011008523 0.0006036932 0.00042613636 0.016228693 0.0032670454 0.0009055398 0.007368608 0.006356534 0.0004971591 0.00042613636 0.00065696024 0.0021839489 0.00042613636 0.0008877841 0.0011541193 0.0033380683 0.0003728693 0.0045987214 0.001953125 0.0039772727 0.00095880684 0.0013849431 0.0014382103 0.005078125 0.0018643466 0.0022372159 0.03675426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015534578 0.0012478299 0.0004611545 3.616898e-05 9.94647e-05 5.4253473e-05 0.00081380206 0.00011754919 0.0 1.808449e-05 9.042245e-06 2.7126736e-05 0.0 3.616898e-05 0.0 6.3295716e-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 0.028175637 0.0005787037 0.0005787037 0.00031647857 0.0016185619 0.00050636573 0.00074146414 0.0006419994 0.0018265336 0.00023509839 0.00033456308 0.0003616898 0.00031647857 0.00015371817 0.0002983941 0.00035264756 0.010760272 4.5211225e-05 0.00011754919 0.0001808449 0.0017361111 0.00066912617 0.003137659 0.0015733507 4.5211225e-05 6.3295716e-05 2.7126736e-05 3.616898e-05 2.7126736e-05 4.5211225e-05 3.616898e-05 1.808449e-05 0.02041739 2.7126736e-05 0.0024052372 0.0007595486 0.001582393 0.0019440828 0.0038067852 0.0056966147 9.042245e-06 3.616898e-05 9.042245e-06 6.3295716e-05 0.0 8.138021e-05 1.808449e-05 0.0001808449 0.0076226126 0.001844618 0.0012297453 4.5211225e-05 0.0007866754 9.94647e-05 0.0045120805 0.0017180266 2.7126736e-05 5.4253473e-05 3.616898e-05 1.808449e-05 0.00047019677 2.7126736e-05 1.808449e-05 9.042245e-06 0.035743997 0.0020345051 0.007957176 0.007233796 0.007948134 0.0041051796 0.02105939 0.016212747 0.0026222512 0.0007233796 0.0007324219 0.00044307002 0.0020978008 0.00062391494 0.0005334925 0.0010398582 0.026150174 0.0016095197 0.004313151 0.017975984 0.0052897134 0.0034360532 0.010000723 0.007260923 0.0028121383 0.0016728154 0.0012387877 0.0017089844 0.0022243923 0.0015010127 0.0020164207 0.0033817997 0.0206977 0.0018717448 0.0022786458 0.00076859083 0.0058774594 0.002025463 0.0032913773 0.0017541955 0.004900897 0.0010036892 0.000479239 0.00076859083 0.0013834635 0.001175492 0.0032642505 0.004014757 0.04301396 0.006076389 0.0043312353 0.0048104743 0.014033564 0.012297453 0.004575376 0.008816189 0.022135416 0.002396195 0.00094943575 0.004530165 0.008499711 0.0041956017 0.009738498 0.016267 0.09515155 0.017948857 0.008770978 0.01252351 0.03172924 0.039008245 0.015145761 0.024450231 0.057336878 0.010353371 0.0045030382 0.008997034 0.028012875 0.01687283 0.029242622 0.044397425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 477.0 14.855346 7086.0 0.05616709 0.0023990967 0.002822467 0.0007056167 0.0014112334 0.002822467 0.005644934 0.00084674003 0.0064916736 0.005221564 0.0014112334 0.00084674003 0.0023990967 0.0084674 0.015664691 0.00127011 0.021168502 0.00889077 0.008749647 0.005644934 0.0038103303 0.0031047135 0.005644934 0.0059271804 0.007338414 0.0019757268 0.0060683037 0.0047981935 0.00465707 0.010302004 0.010584251 0.0080440305 0.00254022 0.0084674 0.00465707 0.011289868 0.0064916736 0.005644934 0.0059271804 0.0042337 0.005221564 0.0069150436 0.0007056167 0.0011289867 0.0071972907 0.0069150436 0.0042337 0.0038103303 0.0117132375 0.0009878634 0.0084674 0.011572114 0.014676828 0.0032458368 0.002822467 0.0016934801 0.0015523568 0.004515947 0.00127011 0.0032458368 0.0019757268 0.0033869601 0.0033869601 0.014112334 0.0015523568 0.042054757 0.007338414 0.032034997 0.03175275 0.056308214 0.008185154 0.00931414 0.0067739203 0.025684448 0.0014112334 0.008185154 0.02836579 0.015805814 0.032317244 0.037538808 0.0447361 0.0015523568 0.04431273 0.030200396 0.057578325 0.012842224 0.0071972907 0.002822467 0.026813434 0.016370308 0.0014112334 0.00056449336 0.0023990967 0.00056449336 0.00042337002 0.00028224668 5.7351804 0.0 0.0 0.0 1.0 56320.0 98304.0 0.0 2.0 47.0 1.0 1.0 0.0 1.0 0.0 1514621400.0 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 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 -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 40960.0 1536.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -3072.0 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 -10240.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -37376.0 -2048.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2043467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.21082626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.864765 0.0 0.0 0.0 0.0 0.0 1.2139466 0.0 0.0 -6.525113 -5.014678 0.94671386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 -40960.0 -4096.0 4096.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 106.0 86016.0 2040.0 81920.0 512.0 90112.0 0.0 0.0 0.0 0.0 2644.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.20875716 0.015512299 0.0070741633 0.0086461995 0.011790272 0.006265027 0.010056408 0.0039069722 0.008761791 0.0041381544 0.0030053635 0.0029822453 0.0067505087 0.0050628814 0.0024736454 0.0030284815 0.026331607 0.0014795635 0.00085537264 0.002959127 0.0026585907 0.003467727 0.0020344 0.0019419271 0.0024505272 0.0016413908 0.0012021454 0.001803218 0.001803218 0.0032365452 0.0016182726 0.0018494544 0.0073746997 0.0014333272 0.0015720363 0.0013639727 0.0036526725 0.002057518 0.0012714999 0.0011096726 0.0021962272 0.001040318 0.0021037543 0.0027279453 0.0015720363 0.0026354725 0.005479009 0.0030515997 0.01625208 0.006842981 0.0049935267 0.006681154 0.0041843904 0.0041843904 0.0025892362 0.002427409 0.0025198816 0.0022886998 0.0024967634 0.0027279453 0.0027279453 0.0030053635 0.0017338635 0.0038376178 0.006681154 0.005525245 0.0016413908 0.0046467544 0.002311818 0.005640836 0.0023580543 0.002173109 0.0035601996 0.002057518 0.0011096726 0.0009940817 0.0038376178 0.003467727 0.0018725726 0.0015257999 0.008553727 0.004692991 0.0033752543 0.0056870724 0.004600518 0.0076521174 0.0052478267 0.0034908452 0.001664509 0.0037451452 0.0016182726 0.0017107453 0.0017569817 0.0040456816 0.0030284815 0.0039300905 0.0020112817 0.008530608 0.002959127 0.006658036 0.005132236 0.012899945 0.0028897724 0.005363418 0.006056963 0.009177918 0.003999445 0.0013870908 0.0071666357 0.0049010543 0.008599963 0.008206954 0.0049935267 0.0013177362 0.008114481 0.007536527 0.015581653 0.008831145 0.0023580543 0.0034446088 0.0036295543 0.0030515997 0.00097096356 0.0009940817 0.0017107453 0.0018494544 0.0009940817 0.0012021454 0.004508045 0.0019188089 0.0034214905 0.0054327725 0.001803218 0.007189754 0.004369336 0.0008091363 0.0014333272 0.005132236 0.00073978177 0.01715369 0.0016876272 0.004600518 0.000901609 0.000901609 0.0012714999 0.00076289993 0.00085537264 0.0013639727 0.0010634363 0.0007166636 0.0005779545 0.00062419084 0.0012483817 0.00062419084 0.00064730906 0.00073978177 0.001155909 0.0009940817 0.0013870908 0.0010172 0.0025198816 0.0017338635 0.00076289993 0.0023580543 0.0012021454 0.001040318 0.00087849086 0.0009478454 0.001410209 0.0010172 0.00073978177 0.00062419084 0.0012714999 0.0005086 0.0008091363 0.00097096356 0.0012714999 0.00076289993 0.0006935454 0.00085537264 0.0015720363 0.0009247272 0.0009940817 0.0008322545 0.002681709 0.0008322545 0.00087849086 0.0013177362 0.0011790271 0.0006704272 0.0009478454 0.0009478454 0.005756427 0.0013408544 0.0031903088 0.0040225633 0.001803218 0.0010634363 0.0018956908 0.002704827 0.0022886998 0.0019188089 0.0007166636 0.00073978177 0.0024042907 0.0009478454 0.0013408544 0.0015489181 0.0022193452 0.001040318 0.0011327908 0.0009247272 0.0013408544 0.00053171813 0.0012252636 0.0009940817 0.0018494544 0.00073978177 0.00076289993 0.0013639727 0.0017569817 0.0008322545 0.000901609 0.0008091363 0.0016876272 0.00076289993 0.0009247272 0.0005779545 0.0017569817 0.0015951544 0.00073978177 0.00097096356 0.008322544 0.0019188089 0.00085537264 0.0029360089 0.0044155726 0.0005548363 0.00062419084 0.0010865545 0.003213427 0.0015720363 0.0010865545 0.0009247272 0.0021962272 0.0006010727 0.0017107453 0.0024042907 0.0024967634 0.0015026818 0.00085537264 0.00097096356 0.003606436 0.0018725726 0.001803218 0.025730535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042694837 0.0032036013 0.0012028392 0.004632717 0.0046803546 0.0020483993 0.006931212 0.002667683 0.0008693788 0.00045255336 0.00040491615 0.00040491615 0.00026200459 0.00033346037 0.00036918826 0.0020126714 0.054627955 0.0052281823 0.0027629572 0.0012742949 0.004037252 0.0037990664 0.010063358 0.0052400916 0.0013933879 0.0008455602 0.0006311928 0.0008098323 0.0006311928 0.0007383765 0.00064310216 0.0048351754 0.03326267 0.0028463225 0.002667683 0.002107946 0.009444074 0.006180926 0.023377953 0.014291159 0.00044064404 0.00030964176 0.00038109755 0.00035727897 0.00050019054 0.00047637196 0.00045255336 0.00046446265 0.028403677 0.0026795922 0.0018578506 0.010480183 0.002798685 0.0036204269 0.0043588034 0.0036323362 0.003191692 0.0010599276 0.0010003811 0.0011671113 0.0022865853 0.0009408346 0.0024056784 0.0032869664 0.004346894 0.00089319743 0.0009289253 0.009527439 0.0008574695 0.0009408346 0.0013219322 0.0009765625 0.000797923 0.00036918826 0.0005716463 0.00064310216 0.00053591846 0.00052400917 0.00055973703 0.00059546495 0.08711652 0.024342606 0.008098323 0.013505145 0.014076791 0.03129764 0.01667302 0.016613472 0.039169684 0.00322742 0.005216273 0.0061928355 0.019412156 0.0078005907 0.017066024 0.031654917 0.054973323 0.018709509 0.022472847 0.028475134 0.013802878 0.017292302 0.03376286 0.02341368 0.017018387 0.008169779 0.010384909 0.007371856 0.010420636 0.007550495 0.008372237 0.010492092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 425.0 17.672941 7511.0 0.029157236 0.0010651045 0.0010651045 0.0010651045 0.008387698 0.0010651045 0.0010651045 0.0013313807 0.0038610038 0.0022633472 0.00053255225 0.0014645187 0.0031953135 0.0106510455 0.025695646 0.014112635 0.03994142 0.020370124 0.01650912 0.010784184 0.00825456 0.0106510455 0.0054586604 0.0045266943 0.006523765 0.0046598325 0.0075888694 0.0039941417 0.006523765 0.0034615896 0.0029290374 0.012914392 0.018905604 0.019038742 0.0011982425 0.018772468 0.004393556 0.0037278659 0.0030621756 0.006523765 0.005991213 0.0051923846 0.00053255225 0.0010651045 0.009452802 0.0035947277 0.0022633472 0.0025296232 0.0050592464 0.0019970709 0.00412728 0.014378911 0.013846358 0.0029290374 0.008653974 0.0039941417 0.0035947277 0.00093196647 0.0051923846 0.0011982425 0.0026627614 0.0003994142 0.0018639329 0.011849288 0.0019970709 0.035681 0.009053389 0.03088803 0.016908534 0.05019305 0.0045266943 0.017707363 0.013313807 0.04193849 0.0033284517 0.0031953135 0.028491545 0.02196778 0.037411798 0.035414726 0.021568367 0.0003994142 0.033417653 0.03301824 0.052855812 0.008653974 0.0046598325 0.009719078 0.006257489 0.010784184 0.0025296232 0.0007988284 0.0015976568 0.00026627613 0.0003994142 0.0010651045 5.7973013 0.0 33.0 0.0 2.0 43256.0 57344.0 1.0 2.0 82.0 1.0 1.0 1.0 0.0 0.0 1541152100.0 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 0.0 0.0 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 5.0 1.0 5.0 1.0 13312.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13824.0 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 -6.4169397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9338937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5108743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.121193 0.0 3.5442774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1916.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10538.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13088.0 0.0 864.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 28576.0 240.0 28688.0 864.0 49152.0 0.0 0.0 13048.0 30208.0 1916.0 53248.0 112.0 24128.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 24240.0 0.0 0.0 372.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.23647104 0.0069550304 0.0038109757 0.0035251523 0.0071932166 0.0023818598 0.002953506 0.0011909299 0.01138529 0.0022389481 0.0009527439 0.0015720275 0.0070503047 0.001714939 0.001714939 0.0047637196 0.015053353 0.0025724086 0.0013338415 0.0009051067 0.0051448173 0.0057164636 0.0008098323 0.0009527439 0.0032393292 0.0009051067 0.0008098323 0.00071455794 0.0035251523 0.0006192835 0.00042873475 0.0009051067 0.0041920734 0.00066692074 0.0006192835 0.0011432926 0.024723705 0.0020483993 0.0006192835 0.00028582316 0.018578507 0.00052400917 0.0010956555 0.0019054879 0.0018102134 0.00052400917 0.0022389481 0.00019054877 0.0028582318 0.001238567 0.002477134 0.009622714 0.0028105946 0.0033346037 0.002429497 0.0021436738 0.0026200458 0.005383003 0.001476753 0.0046684453 0.0015243902 0.002429497 0.0020483993 0.0018578506 0.023580411 0.0036204269 0.0009051067 0.002429497 0.0023818598 0.008241234 0.0042873477 0.0020007621 0.0050971797 0.0040015243 0.0015720275 0.0013338415 0.0022389481 0.0050019054 0.002905869 0.0030487804 0.009241615 0.0027629572 0.0020960367 0.0056688264 0.006383384 0.003953887 0.008431784 0.0051448173 0.0033346037 0.002477134 0.0008574695 0.0020483993 0.0009051067 0.0032393292 0.002905869 0.002477134 0.0014291159 0.008431784 0.0012862043 0.003382241 0.0033346037 0.014052972 0.002477134 0.0014291159 0.0040967986 0.0033346037 0.004906631 0.0011432926 0.0050019054 0.0030011432 0.0046208077 0.004858994 0.0050495425 0.00071455794 0.0065739327 0.004430259 0.016530106 0.015672637 0.0065262956 0.0040491614 0.0022389481 0.0009051067 0.00033346037 0.00014291158 0.0010480183 0.0016196646 0.0015720275 0.00019054877 0.002477134 0.0009051067 0.00047637196 0.006812119 0.0016196646 0.0057641007 0.0013338415 0.00023818598 0.0016673019 0.011432927 0.0005716463 0.024342606 0.001476753 0.0028105946 0.00038109755 0.00023818598 0.001238567 0.00047637196 0.00033346037 0.00038109755 0.0014291159 0.00023818598 0.00023818598 0.00033346037 0.0012862043 0.00033346037 0.00033346037 0.00023818598 0.0006192835 0.00023818598 0.00047637196 0.00019054877 0.0010956555 0.0032393292 0.00023818598 0.0006192835 0.0009527439 0.0009527439 0.00038109755 0.00042873475 0.0010480183 0.00019054877 0.00038109755 0.00014291158 0.00052400917 0.00014291158 0.00038109755 0.00033346037 0.0017625762 0.00019054877 0.0014291159 0.00019054877 0.00047637196 0.00023818598 0.0008098323 0.0010003811 0.0011432926 0.00042873475 0.0010956555 0.00071455794 0.00052400917 0.00033346037 0.001238567 0.021150915 0.00833651 0.001238567 0.002953506 0.002477134 0.00052400917 0.00033346037 0.0008098323 0.0028582318 0.0014291159 0.0019054879 0.00033346037 0.00028582316 0.02224657 0.00038109755 0.00066692074 0.00038109755 0.0010003811 0.00066692074 0.0011432926 0.0005716463 0.0006192835 0.00023818598 0.0008574695 0.00033346037 0.0011432926 0.00023818598 0.0007621951 0.0010956555 0.00071455794 0.00019054877 0.0005716463 9.527439e-05 0.0016196646 0.00042873475 0.0015720275 0.0008574695 0.0011909299 0.00019054877 0.00052400917 0.00038109755 0.009765625 0.003429878 0.002191311 0.0072408537 0.0041920734 0.00019054877 0.0006192835 0.0008098323 0.003953887 0.0026200458 0.0025724086 0.002429497 0.002429497 0.001714939 0.0030487804 0.002905869 0.004906631 0.0018578506 0.0011432926 0.0008098323 0.0038586129 0.0009527439 0.002191311 0.036728278 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03857422 0.0004111842 0.0009251645 0.0012335526 0.0016190378 0.0008223684 0.0048057153 0.0021844162 0.00043688322 0.00023129112 0.00030838815 0.00046258225 0.00012849507 0.00010279605 7.709704e-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 0.027318051 0.00035978618 0.0005910773 0.0004111842 0.0038034539 0.0016190378 0.010048314 0.0065532485 0.00033408718 0.00025699014 0.00046258225 0.00046258225 2.5699013e-05 5.1398027e-05 0.00010279605 0.00023129112 0.011050575 0.00012849507 0.00053967925 0.0004111842 0.0053710938 0.0028782894 0.019377057 0.01094778 0.00010279605 0.00028268914 0.00046258225 0.00053967925 0.00015419407 0.00010279605 0.00017989309 0.00010279605 0.02449116 0.00089946546 0.0014905428 0.011898643 0.0014391447 0.0010536596 0.0036749588 0.001953125 0.0008223684 0.00084806746 0.0007452714 0.0007966694 0.0006938733 0.0006938733 0.0005910773 0.00053967925 0.025390625 0.0012849506 0.0023129112 0.0010022615 0.0043431334 0.0028268914 0.0030838817 0.0030067845 0.0015419408 0.0006167763 0.00046258225 0.0015933388 0.0009251645 0.0008223684 0.0020559211 0.0013620477 0.019891037 0.0020559211 0.014237253 0.0014391447 0.007889597 0.0032123767 0.012900905 0.006116365 0.0015419408 0.0011821546 0.0012592516 0.0124126235 0.0036749588 0.0009765625 0.0026726974 0.0138003705 0.012438322 0.0023900082 0.0035207649 0.0015419408 0.0067331414 0.0029296875 0.0010536596 0.0014391447 0.0034179688 0.0004111842 0.00066817435 0.00048828125 0.0069130347 0.0005653783 0.0017732319 0.0063476562 0.109272204 0.038394324 0.040193256 0.023617392 0.044921875 0.04983039 0.014776933 0.03960218 0.058490954 0.0044716285 0.0068873353 0.017886514 0.037700452 0.0069130347 0.02939967 0.056589227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 197.0 11.649746 2295.0 0.007843138 0.0013071896 0.0 0.0013071896 0.007843138 0.0026143792 0.0021786492 0.0 0.021350762 0.0008714597 0.0034858389 0.0008714597 0.0034858389 0.0008714597 0.009586057 0.0008714597 0.0047930283 0.006535948 0.008278867 0.014814815 0.008278867 0.0074074073 0.010457517 0.008714597 0.0074074073 0.006535948 0.0043572984 0.0069716778 0.003921569 0.005664488 0.0047930283 0.006100218 0.02701525 0.0074074073 0.0026143792 0.010021786 0.012200436 0.0074074073 0.0034858389 0.011328976 0.005664488 0.017429193 0.0017429194 0.0017429194 0.0052287583 0.011764706 0.003050109 0.012200436 0.011764706 0.003921569 0.0069716778 0.0139433555 0.012636165 0.0043572984 0.003050109 0.008278867 0.0074074073 0.0017429194 0.0026143792 0.003050109 0.0013071896 0.0034858389 0.0052287583 0.006535948 0.0017429194 0.05708061 0.0069716778 0.023529412 0.019172113 0.10283224 0.0026143792 0.007843138 0.011328976 0.017864924 0.006100218 0.0052287583 0.03180828 0.021350762 0.0291939 0.024836602 0.012636165 0.0008714597 0.041830067 0.02701525 0.06143791 0.017864924 0.022657951 0.016993465 0.0052287583 0.0034858389 0.0013071896 0.00043572986 0.0013071896 0.00043572986 0.0008714597 0.0 5.7321396 0.0 0.0 0.0 2.0 20992.0 32768.0 1.0 3.0 94.0 1.0 1.0 0.0 0.0 0.0 1247533700.0 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 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 16384.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -16384.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7400136 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.287598 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.546584 0.0 3.404226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1172.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16291.0 0.0 1320.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 115.0 20272.0 140.0 17924.0 1320.0 24576.0 0.0 0.0 0.0 0.0 832.0 28672.0 28.0 4528.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 4696.0 128.0 648.0 404.0 4096.0 0.0 0.0 0.0 0.0