Input: 0.20162037 0.022068866 0.023295717 0.0097771995 0.01900463 0.0042216433 0.013197338 0.007864583 0.008153935 0.004649884 0.017010996 0.0034346066 0.0034403936 0.0030584491 0.004123264 0.0023697917 0.002740162 0.007355324 0.0063917823 0.0037615742 0.0024594907 0.0028182871 0.0028674768 0.0032436342 0.002913773 0.0020630788 0.0015538194 0.001958912 0.0021585647 0.0021730324 0.0020862268 0.0022569445 0.007375579 0.0017505788 0.002583912 0.0020601852 0.006067708 0.0016927083 0.0018952546 0.001177662 0.007071759 0.0017824074 0.0049131946 0.0030584491 0.0052864584 0.0038020834 0.004354745 0.0021440971 0.005043403 0.0028269675 0.0024508103 0.002494213 0.0016782407 0.0024623843 0.0021412037 0.001634838 0.0024363426 0.0021585647 0.0023842594 0.0015422454 0.0017303241 0.0029166667 0.0016984954 0.0015972222 0.0018807871 0.0028269675 0.0024594907 0.0041956017 0.0045775464 0.002427662 0.0028472221 0.0016811342 0.0020746528 0.0035300925 0.0015480324 0.0014670138 0.0025723379 0.0021614584 0.0019126157 0.0024565973 0.0038599537 0.0015856482 0.0026533564 0.005115741 0.0030381945 0.0032204862 0.0023350695 0.002259838 0.0016174768 0.0017361111 0.0013136574 0.0011660879 0.0013078704 0.0010763889 0.0009953703 0.0038425927 0.0013541667 0.0110098375 0.0031163194 0.0070515047 0.00630787 0.022479745 0.0026591434 0.0041174768 0.0035474538 0.010133102 0.0013802083 0.002722801 0.007841435 0.005625 0.0101649305 0.022858797 0.007644676 0.0018836806 0.01505787 0.010815972 0.017282987 0.005804398 0.0017592593 0.0029890046 0.0023640047 0.0031047454 0.0013888889 0.0067476854 0.0011660879 0.0031221064 0.0010300926 0.0016493056 0.0033362268 0.0026070601 0.00203125 0.0015075231 0.0014583333 0.0015538194 0.0018431713 0.0013049769 0.0022164353 0.0018402778 0.0014814815 0.0011805556 0.0017332176 0.0013252315 0.0010127315 0.0013888889 0.0012037037 0.0015769675 0.0010300926 0.0011197916 0.0014756945 0.001183449 0.0010677084 0.0012615741 0.001099537 0.0022511573 0.0012991899 0.0013773148 0.0011226851 0.0009809028 0.0011545139 0.0011284723 0.0012210648 0.0012760416 0.0019184027 0.0009866898 0.0015133102 0.0014930556 0.0011516204 0.0011111111 0.0012355325 0.0013078704 0.0009230324 0.0011603009 0.0010648149 0.0014033564 0.00097511575 0.0010734954 0.0010243056 0.001238426 0.0011516204 0.0011197916 0.0012065972 0.0015248843 0.0012355325 0.0012355325 0.0012731481 0.0014872685 0.0010706019 0.0010561342 0.001238426 0.0012991899 0.0013888889 0.0011747685 0.0017303241 0.0013657408 0.0013917824 0.0013657408 0.0012094907 0.0017042824 0.0014872685 0.0014525463 0.0016087963 0.0013628472 0.0017534723 0.0012065972 0.0011689814 0.0010474537 0.0011313658 0.0014496528 0.0016174768 0.0013715278 0.0012008102 0.0012297453 0.0017505788 0.002025463 0.0016116898 0.0011892361 0.0011660879 0.0011631944 0.0011950232 0.0011197916 0.0015856482 0.0012297453 0.0019212964 0.0010561342 0.0012210648 0.0012586806 0.0010619212 0.001322338 0.0015277778 0.0011631944 0.0013599537 0.001099537 0.0011400463 0.0009693287 0.0011429398 0.0011458333 0.0011429398 0.0010011574 0.0008940972 0.00109375 0.0010908565 0.0011371528 0.0012673611 0.00089988427 0.0015364584 0.0010677084 0.0009519676 0.0011255787 0.0012181713 0.0010706019 0.0009230324 0.0008854167 0.0011342593 0.004965278 0.0036631944 0.05172454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021652947 4.359654e-05 7.847377e-05 5.812872e-05 6.830125e-05 0.0005289714 0.0001046317 9.0099515e-05 0.00022379558 0.00012352352 0.00010317848 3.9236886e-05 3.633045e-05 3.9236886e-05 3.0517578e-05 0.002219064 0.025909424 0.00047374907 0.0024312336 0.0007702055 0.0071512857 0.0069405693 0.038221087 0.019525437 0.00047229585 0.0002673921 0.00026012602 0.00012352352 0.00010753813 0.00012642996 0.00011189779 0.004250663 0.067940846 0.0041053407 0.008302234 0.003458659 0.0060904366 0.004597982 0.026188442 0.01634289 0.0010768345 0.0007527669 0.00052315847 0.00046648298 0.00035458518 0.0009097145 0.00038219633 0.0043407623 0.106361024 0.014245896 0.013947986 0.005148751 0.0031738281 0.0026216053 0.011336554 0.0130876815 0.0029355003 0.0023716518 0.0017961775 0.0015811012 0.0015128 0.002811977 0.0013166155 0.0032508487 0.041124616 0.008977981 0.0050499327 0.002993629 0.0027625675 0.0031622024 0.007439023 0.0063897995 0.004820324 0.0014154343 0.0013791039 0.0014183407 0.0011276972 0.0013456799 0.0011800131 0.004651751 0.03387306 0.005093529 0.0051342193 0.0038568405 0.0033685593 0.0028889973 0.0071483795 0.004654657 0.0038655598 0.0016944523 0.001579648 0.0017482212 0.0019008091 0.0018078032 0.0018252418 0.011821928 0.034627277 0.0035414924 0.011035738 0.008961995 0.0058259508 0.004683722 0.020634243 0.012103853 0.0019821892 0.002514067 0.0023949032 0.0020156135 0.0044032508 0.002665202 0.002253941 0.020237515 0.021174839 0.0036519368 0.0029427665 0.0038800922 0.003686814 0.0029718308 0.0027102516 0.0035909016 0.0039295014 0.0033627464 0.0033235096 0.0039047967 0.0049423943 0.0044105165 0.0036097935 0.014216832 0.0051632836 0.0015026274 0.0009940012 0.0010753813 0.0013180687 0.001306443 0.0016842796 0.0014227005 0.0011945452 0.0010056269 0.0009053548 0.0008748372 0.0009053548 0.0010550363 0.0009227934 0.00247919 0.007226853 0.0073111397 0.0072762626 0.0071367538 0.007171631 0.007561093 0.0073620025 0.0068998793 0.0073489235 0.006912958 0.007630848 0.007633754 0.0072413855 0.0073518297 0.0069899787 0.0070161363 3965.0 14.467591 57364.0 0.010773308 0.00097622204 0.003155289 0.0011854124 0.0028240709 0.00048811102 0.0017432536 0.00050554355 0.0008716268 0.00123771 0.00066243636 0.0016037934 0.01340562 0.0016735235 0.010267763 0.0044452967 0.011888989 0.0050903005 0.0032250192 0.0063803084 0.0021267694 0.006537201 0.004148944 0.0009064919 0.0022662296 0.002074472 0.0017781187 0.0014817655 0.0013074402 0.008245589 0.0014991981 0.00034865073 0.0008018967 0.005072868 0.0056830067 0.014556168 0.012760617 0.004532459 0.007705181 0.0025102852 0.0041140784 0.011400878 0.0014469005 0.0018304163 0.006903284 0.004776515 0.004061781 0.005160031 0.010407224 0.00069730147 0.007408828 0.018251866 0.009134649 0.011871557 0.0061362525 0.0065546334 0.0013771703 0.00064500386 0.0015689282 0.00061013876 0.00097622204 0.0005752737 0.00066243636 0.015793879 0.0015340631 0.045934733 0.010581549 0.027177325 0.023969738 0.104386024 0.007408828 0.016665505 0.0137019735 0.042849172 0.00123771 0.007095042 0.032494247 0.022505404 0.044296075 0.05189666 0.013318458 0.0042012413 0.050135974 0.04117565 0.07673802 0.022348512 0.0049334075 0.010529252 0.006728959 0.010163168 0.0018478489 0.0009936546 0.0005752737 0.00050554355 0.0002963531 0.00066243636 5.448637 1.0 28.0 0.0 2.0 345600.0 368640.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1319800000.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 342016.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -342016.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.511443 0.0 3.2823622 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -342004.0 0.0 2216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 350104.0 2216.0 352256.0 0.0 0.0 0.0 0.0 12.0 360448.0 28.0 349912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.1641358 0.015413067 0.0040127295 0.0038814822 0.0039327294 0.0042321924 0.0028162457 0.0031990346 0.006696359 0.0025633352 0.0020598613 0.0015604951 0.0019945311 0.002139275 0.0024958532 0.008466928 0.004860459 0.001694481 0.0012710075 0.0013562889 0.001633845 0.0038404062 0.0013359465 0.0013154086 0.0034801115 0.0019254843 0.0010179013 0.0011241119 0.0013273401 0.0012475355 0.0009959941 0.00112998 0.0064710276 0.0009341846 0.002127539 0.0007563844 0.012454425 0.0011622539 0.001460348 0.0009273386 0.0028080305 0.0012332567 0.00061144494 0.001665141 0.01258137 0.0010046005 0.0010452853 0.0012082199 0.0053797765 0.0014797124 0.0012537946 0.0061025177 0.0017116937 0.0006317873 0.00042582073 0.00042229993 0.0026364895 0.0014881232 0.00052498985 0.0021461209 0.00069027167 0.0008295387 0.001320103 0.0010083169 0.011762785 0.0074793445 0.001094772 0.0014396145 0.0065762606 0.005135277 0.0010892953 0.0008627907 0.048781022 0.005991808 0.0004657231 0.0008539887 0.0062990957 0.0031974697 0.0010235737 0.0010051873 0.0027962946 0.0005228382 0.0007198072 0.0010482193 0.0018859731 0.0018173177 0.0014957516 0.0021688105 0.0026419663 0.00051266706 0.00034542923 0.0008246487 0.0029713563 0.0010579992 0.0012078286 0.001967147 0.0020066581 0.0011096376 0.00049741025 0.0011702735 0.0015319375 0.0016140895 0.0018413764 0.00059325417 0.0017206913 0.0010085125 0.00031550246 0.0004580947 0.0015855319 0.0006218117 0.000977999 0.001101618 0.003798548 0.009539598 0.0013711546 0.0012514475 0.006590148 0.0033158076 0.0006368729 0.0006799049 0.0021979548 0.00066953804 0.00041604074 0.0005668482 0.001327927 0.0008367759 0.001132914 0.0013334038 0.002030717 0.0012606407 0.00043618752 0.008417637 0.0027368322 0.006304181 0.0008555535 0.00076909835 0.0018589804 0.0098950025 0.0012565331 0.03551153 0.00095804775 0.009951334 0.0008565315 0.0006581933 0.0029191312 0.00039041718 0.0003661628 0.00080704474 0.019436164 0.00047765468 0.00039041718 0.00043755674 0.0019503254 0.00066230085 0.00039002596 0.00032586924 0.00079257035 0.00031687165 0.0003638156 0.0004653319 0.0015628423 0.00075521076 0.0007581448 0.00078689796 0.0009306638 0.0007121788 0.000770272 0.0009308594 0.0017222561 0.0007266532 0.00075873156 0.0007168732 0.00081467314 0.00069613964 0.00069750886 0.0008745266 0.0012715942 0.0003612728 0.00039061278 0.0003618596 0.00058895093 0.0010460677 0.0005721294 0.0010055786 0.0021588348 0.0012784402 0.0014621085 0.00048645667 0.0011960927 0.00043716552 0.00069868244 0.00068166526 0.006438167 0.0022034317 0.0010990752 0.0029533613 0.003330673 0.011434764 0.0013819125 0.002606954 0.003095171 0.0031159045 0.0006497825 0.003077176 0.005752003 0.0006454793 0.0021269522 0.002580548 0.0026077363 0.0008381451 0.0015759475 0.0025044596 0.00060459896 0.0007393672 0.0011724251 0.0011595156 0.0019923795 0.0011483664 0.0008154555 0.0010067521 0.0006008826 0.00049799704 0.00053437863 0.0005803446 0.0028960505 0.00060772855 0.0008627907 0.00058895093 0.0009064094 0.00051951304 0.00049643224 0.00070161646 0.013137655 0.0028680796 0.00082034554 0.0025281273 0.0026826512 0.0009191234 0.0005652834 0.00070748443 0.0030728728 0.0009776078 0.001855264 0.0009983414 0.0008123259 0.027436782 0.0015935515 0.0012160438 0.0028467593 0.0013177558 0.0011432808 0.0011880731 0.0011385863 0.0011460192 0.0019951179 0.1896029 0.0025334666 1.3500864e-05 1.9859966e-05 3.512181e-05 2.0349129e-05 1.0663726e-05 1.9957799e-05 1.5946673e-05 1.3207367e-05 1.0957223e-05 4.6959526e-06 1.5946673e-05 1.1739882e-05 3.2284674e-06 7.2395937e-06 0.05096077 0.0004663668 0.00013266066 0.0039686672 4.001343e-05 1.8685978e-05 1.0565894e-05 1.751199e-05 2.1131787e-05 6.456935e-06 0.0032644698 9.294073e-06 0.000428897 1.1446385e-05 2.377326e-05 9.294073e-06 0.06149663 0.0007094802 0.0002948667 0.0044907983 0.000117203155 1.2326876e-05 4.617687e-05 2.8077884e-05 5.8503745e-05 2.2501441e-05 0.0050012874 4.872051e-05 7.699406e-05 0.00019096874 6.877614e-05 4.5002882e-05 0.01503556 0.001844629 0.00030386727 0.0030150951 0.00011162671 4.422022e-05 4.285057e-05 4.2557072e-05 0.0002715826 3.7371956e-05 0.0057549877 7.533091e-05 0.00013138885 0.0005604815 0.00012160561 0.00011328986 0.02038826 0.0021623883 0.00014802035 0.00038330714 0.00011769232 9.4114715e-05 7.542874e-05 6.828698e-05 0.0003976885 5.8503745e-05 0.0025440324 0.0001261059 0.000249766 0.0005073586 0.00019889316 0.00019586037 0.020522684 0.007839306 0.00019820833 0.00063610595 0.0008769692 0.00016445617 8.687512e-05 0.0002150355 0.00030396512 0.00012140995 0.0010764493 0.00014068291 0.00030905238 0.00066525995 0.00022315558 0.00021904663 0.010165857 0.018191045 0.000362958 0.0010131518 0.0014718877 0.0009202111 0.00041637447 0.00041745062 0.0051887343 0.00023724344 0.0014246347 0.00022609056 0.0005507961 0.005874343 0.00036374066 0.0003363476 0.010089744 0.020270765 0.00064882415 0.0009731384 0.0012525476 0.0020998735 0.0005119567 0.0010065971 0.0030513909 0.00025514676 0.0005581335 0.00021777481 0.0003259774 0.0026741493 0.0003874161 0.00050745637 0.004930261 0.037528 0.0016338002 0.002057512 0.0021158203 0.005206931 0.0010127604 0.002362749 0.0027584808 0.00052946864 0.00073873205 0.0004678343 0.0006628142 0.0012659506 0.00060049497 0.0011990332 0.002372141 0.011673943 0.00072278536 0.0011690966 0.00059452717 0.0013444121 0.00054385 0.0017697872 0.0016612911 0.00024311339 0.00026121238 0.000246831 0.00026551698 0.0008870459 0.00033018418 0.000526925 0.0014020354 0.014881278 0.0018132247 0.001907046 0.0009514196 0.0014941934 0.000992607 0.0016217668 0.0021204182 0.0004914119 0.0003710781 0.0004727259 0.00039573185 0.0015169884 0.0005847439 0.00077316904 0.0026717037 0.010933547 0.002230871 0.001735448 0.0017733092 0.0008476195 0.0009800844 0.0011325072 0.0013811971 0.0009711817 0.00082854216 0.0069357264 0.0008051602 0.0011772166 0.00095826783 0.00110756 0.002667399 0.00708903 0.0013109535 0.0015649262 0.0016163861 0.0023281164 0.00047585653 0.0005346538 0.0006281815 0.002643528 0.0006429542 0.00039778632 0.00055363326 0.000961105 0.00071241515 0.0010960158 0.0012873759 0.0773759 0.015569921 0.020135365 0.013265284 0.07215126 0.014839113 0.0067494535 0.013938077 0.06384285 0.006453022 0.0037132269 0.007367167 0.028951429 0.010981192 0.020755524 0.027437571 0.015872221 0.004072565 0.0052838274 0.003469233 0.016234495 0.0038431482 0.0020579034 0.003775448 0.0142170945 0.001488617 0.0010572742 0.0017834837 0.0071644587 0.002729914 0.004840549 0.006880353 0.00019918666 9.31364e-05 8.6972956e-05 0.00022765588 9.548437e-05 8.765778e-05 8.8146946e-05 8.374449e-05 8.012469e-05 7.533091e-05 7.043929e-05 6.916747e-05 7.846154e-05 8.7364286e-05 7.855937e-05 0.00010145215 13406.0 13.743249 184242.0 0.015913852 0.0019919453 0.0031480335 0.0015794444 0.020516494 0.0011777987 0.0015305956 0.0027735261 0.003446554 0.0032511589 0.0017585567 0.0021710577 0.32218495 0.0007978637 0.0045212274 0.00092812715 0.006616298 0.0012917793 0.0010801011 0.055595357 0.0010638182 0.000960693 0.00049391564 0.00073273195 0.002697539 0.0060463953 0.000884706 0.0059866915 0.0013460558 0.0008358572 0.0023773082 0.0047491887 0.019240998 0.07152549 0.002578131 0.01027453 0.013688519 0.006344916 0.0043475428 0.0028549407 0.02891306 0.005145407 0.00046134976 0.0006296067 0.007484721 0.003598528 0.0013406281 0.0018508267 0.005514486 0.00061875145 0.0017639843 0.0058781384 0.010513347 0.013379143 0.02497259 0.02311091 0.0020190836 0.0004450668 0.00040164567 0.0027083943 0.008195743 0.011121242 0.01785695 0.0207336 0.0022796106 0.014752337 0.0028929343 0.0069908057 0.0055416245 0.018942477 0.005888994 0.0034628368 0.0030394807 0.0098728845 0.00059704087 0.0020082283 0.008738507 0.0039893184 0.009661206 0.012868945 0.005264815 0.00054276444 0.012879799 0.008646237 0.021053832 0.006659719 0.0036093832 0.0022796106 0.006572877 0.0035605344 0.0006296067 0.0006730279 0.0022958934 0.00080329133 0.0007490149 0.0022904659 4.7185445 0.0 19.0 0.0 6.0 5112480.0 5165056.0 1.0 5.0 656.0 1.0 1.0 1.0 1.0 0.0 1521585300.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 13.0 6.0 0.0 6.0 0.0 2561024.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -64512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 873984.0 0.0 0.0 0.0 0.0 109568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2561024.0 0.0 1457152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4513574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5499167 0.0 0.0 0.0 0.0 6.1634545 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1689167 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3953476 0.0 2.6751673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -64480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 873948.0 0.0 0.0 0.0 0.0 109080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -85360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560712.0 0.0 1456716.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -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 2.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 1.0 -3.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2.0 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 2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 1.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -3.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 2.0 1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 1.0 -3.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 3.0 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 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 1.0 -2.0 -1.0 0.0 0.0 1.0 1.0 2.0 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 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -2.0 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 1.0 -1.0 1.0 2.0 0.0 -1.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -2.0 -2.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 2.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 160.0 3424256.0 440.0 3424416.0 1456716.0 3641344.0 109080.0 3530752.0 7840.0 5104640.0 64480.0 5099520.0 28.0 3077840.0 0.0 0.0 0.0 0.0 40.0 3078128.0 256.0 3077872.0 0.0 0.0 5432.0 2568192.0 0.0 0.0 0.0 0.0


Input: 0.056639835 0.008299408 0.0061717792 0.0056502204 0.005754739 0.0049692965 0.0042055855 0.0054173814 0.005050014 0.0056171054 0.0037461168 0.0044736085 0.004950669 0.003173851 0.0043204525 0.0046329736 0.0050448393 0.0037585348 0.0049299723 0.0041714357 0.0043504625 0.0031810948 0.004106241 0.0038382174 0.0050758845 0.003346669 0.0031707464 0.0029296288 0.0041393554 0.003435665 0.0037854407 0.00378958 0.0061686747 0.0038206251 0.0034905116 0.0030269038 0.004885474 0.0041704006 0.0038423568 0.0037202458 0.004733353 0.0038951335 0.0033414948 0.0031014122 0.0043701245 0.0037202458 0.003726455 0.0035764033 0.0055084475 0.0039541195 0.0030931334 0.0028872006 0.003672643 0.0030879593 0.0026823024 0.0028644342 0.0041786795 0.0033114844 0.003514313 0.0033518432 0.004008966 0.0032359413 0.0034977554 0.0034573968 0.0065981327 0.0039479104 0.0036209014 0.0032318018 0.0041579828 0.0032173141 0.0035370793 0.003064158 0.005002411 0.003769918 0.003711967 0.0035795078 0.0041383207 0.0031283179 0.0035598457 0.0034656755 0.0051586716 0.0036260753 0.0036457374 0.0033321811 0.003926179 0.0033808185 0.0033652962 0.0035381143 0.0046484964 0.0036457374 0.0038040678 0.003507069 0.0041052056 0.0033828884 0.0036943748 0.00378958 0.0059058256 0.003634354 0.0033373553 0.0029513605 0.0040048263 0.0030496703 0.0032659515 0.0030341477 0.004972401 0.0031562585 0.003197652 0.0030548444 0.0035753683 0.0028530508 0.0030869243 0.0031924779 0.004522246 0.0032845787 0.0032276625 0.003133492 0.00388582 0.003333216 0.0032876832 0.00362918 0.0046257298 0.0032928574 0.0034780935 0.0031686767 0.004033802 0.0031914432 0.0034687798 0.003345634 0.008634696 0.004598824 0.0040172446 0.0035225917 0.004368055 0.003435665 0.0030175901 0.0033932368 0.0045439773 0.0038402872 0.0029679178 0.0031893735 0.0037295592 0.0027971696 0.0028395979 0.0029813708 0.005222832 0.0032131746 0.0034956858 0.0030279385 0.0036716084 0.0031841993 0.0033063102 0.0032659515 0.004541908 0.0028375282 0.0030538095 0.0027019642 0.0035112083 0.0032286972 0.0029824057 0.0031541889 0.0050189686 0.003422212 0.0032711257 0.0028054481 0.003776127 0.0030196598 0.0030476006 0.0031821295 0.0041341814 0.002998963 0.0031376316 0.0030165554 0.0036519463 0.002832354 0.0029192804 0.003038287 0.0046660886 0.0031117606 0.003841322 0.0028561554 0.0035670896 0.0031676418 0.0029886146 0.0031262483 0.0042552575 0.0031500496 0.003333216 0.0031748856 0.0036581554 0.0032017916 0.0033394252 0.0033445994 0.0067088604 0.0040576034 0.0037223154 0.0033394252 0.0041279723 0.0032535335 0.0032928574 0.003230767 0.004328731 0.003327007 0.0031169348 0.00308382 0.003648842 0.0029855103 0.0030776109 0.002800274 0.004245944 0.0032794045 0.0030983076 0.0029968934 0.0037140367 0.0030175901 0.0029420468 0.0029513605 0.003977921 0.0031045168 0.002722661 0.0026378043 0.0035381143 0.0029523952 0.0035888213 0.0028882353 0.004959983 0.003250429 0.0033870277 0.0029699877 0.0038102767 0.003070367 0.003204896 0.0029078973 0.0044425633 0.0054525663 0.0034667102 0.0031376316 0.0037937195 0.003082785 0.0032524986 0.0031831644 0.004607103 0.0033156238 0.003410829 0.0030362173 0.0037440471 0.0030972727 0.003314589 0.003249394 0.0043494278 0.0030434611 0.0031821295 0.0028665038 0.0040017217 0.0030941684 0.004227317 0.0045118975 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099164635 0.062022604 0.062461123 0.0553204 0.06060856 0.05954543 0.05495652 0.05447498 0.060467567 0.053170823 0.052160047 0.05298318 0.05641618 0.05056406 0.056658767 0.05382342 4040.0 5.702475 23038.0 0.017275805 0.010547791 0.009462627 0.008724716 0.013456029 0.012457679 0.011849987 0.011459328 0.012631305 0.009723066 0.008594496 0.008681309 0.013846688 0.0105043845 0.011763174 0.009853286 0.016668113 0.0119368 0.008637902 0.007465926 0.00980988 0.008681309 0.007856585 0.00842087 0.010287351 0.008551089 0.009592847 0.008898342 0.011459328 0.0090719685 0.00954944 0.009202188 0.01810053 0.010808229 0.010330758 0.009028561 0.010808229 0.008854935 0.010721417 0.00829065 0.014237347 0.011676361 0.0097664725 0.008985155 0.011502734 0.009332407 0.011632955 0.009636253 0.014714819 0.009679659 0.009896693 0.0090719685 0.01206702 0.009375813 0.00954944 0.009723066 0.013629655 0.009289001 0.0105043845 0.009592847 0.011155482 0.009853286 0.010330758 0.01067801 0.017883496 0.010981856 0.009636253 0.008160431 0.013021964 0.008203837 0.009332407 0.00829065 0.015365917 0.009245594 0.008854935 0.008637902 0.011329109 0.008160431 0.009983505 0.007813178 0.013238996 0.0079868045 0.008681309 0.008724716 0.011415921 0.009506034 0.0083340565 0.008030211 0.011068669 0.008854935 0.0119368 0.008507683 0.011242296 0.008985155 0.010070318 0.008768123 6.554864 0.0 0.0 0.0 14.0 966334.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.3400678 0.027751554 0.028463343 8.5145795e-05 0.027218273 0.026186813 0.00017327916 3.4357075e-05 0.02631528 7.8423756e-05 0.023866963 3.6597754e-05 4.9294933e-05 4.7801146e-05 4.7054255e-05 0.0001695447 0.027086819 0.018150246 4.1826002e-05 1.34440725e-05 0.018461699 0.017547503 0.00010979326 1.4190966e-05 3.8838432e-05 1.4190966e-05 3.286329e-05 1.34440725e-05 3.5103967e-05 3.5103967e-05 3.2116397e-05 1.568475e-05 0.028909985 8.4398904e-05 0.019110749 1.34440725e-05 3.7344646e-05 6.572658e-05 2.3153681e-05 1.568475e-05 0.018022526 1.4937858e-05 0.015906578 1.269718e-05 2.9875717e-05 4.2572898e-05 4.1826002e-05 2.3153681e-05 5.30294e-05 3.8838432e-05 3.4357075e-05 0.00011427462 5.377629e-05 8.066444e-05 4.854804e-05 2.6888145e-05 3.6597754e-05 3.4357075e-05 2.4647466e-05 2.6888145e-05 4.406668e-05 3.9585324e-05 3.9585324e-05 2.7635038e-05 0.02932675 0.0199637 4.7801146e-05 7.2448616e-05 0.019590255 0.018360868 0.00010157744 6.647347e-05 4.1826002e-05 7.468929e-05 4.107911e-05 2.3153681e-05 7.2448616e-05 0.00010904637 7.618308e-05 0.00012099665 0.025891043 0.01712476 4.4813576e-05 9.48554e-05 0.01667812 0.016126165 3.585086e-05 4.331979e-05 4.5560468e-05 1.6431644e-05 2.1659895e-05 1.9419216e-05 2.8381932e-05 6.0498325e-05 2.4647466e-05 5.6763864e-05 3.5103967e-05 0.00014190965 3.2116397e-05 9.0374044e-05 0.00010083055 0.0003682182 7.8423756e-05 5.2282503e-05 4.4813576e-05 0.00013294694 1.7178538e-05 3.361018e-05 0.000111287045 8.4398904e-05 0.00018224187 0.00016506333 0.00012024976 1.792543e-05 0.00020091419 0.00011203394 0.00039510636 0.00028979447 7.468929e-05 2.0913001e-05 4.4813576e-05 4.1826002e-05 2.3153681e-05 1.269718e-05 1.792543e-05 5.377629e-05 1.792543e-05 9.709608e-06 0.030594975 0.00017477294 0.020046607 0.00019643284 0.00011427462 0.00019568595 2.2406788e-05 1.1203394e-05 0.018236885 0.000432451 0.01635322 0.00020390177 3.286329e-05 0.00011502151 2.4647466e-05 6.7220362e-06 3.6597754e-05 8.215822e-06 1.9419216e-05 7.468929e-06 3.361018e-05 6.4979686e-05 2.2406788e-05 1.19502865e-05 2.0913001e-05 8.215822e-06 7.468929e-06 1.269718e-05 2.3900573e-05 4.2572898e-05 2.0913001e-05 1.0456501e-05 0.027423667 1.4190966e-05 0.01764684 5.2282503e-06 2.1659895e-05 6.7220362e-06 1.0456501e-05 9.709608e-06 0.016891731 1.1203394e-05 0.0148848295 1.0456501e-05 3.585086e-05 6.7220362e-06 1.6431644e-05 5.2282503e-06 2.2406788e-05 1.0456501e-05 1.4937858e-05 1.269718e-05 2.4647466e-05 5.0041825e-05 1.6431644e-05 1.269718e-05 7.0954826e-05 4.107911e-05 3.361018e-05 2.8381932e-05 3.4357075e-05 4.7801146e-05 2.8381932e-05 2.2406788e-05 8.663958e-05 2.3900573e-05 1.4937858e-05 1.1203394e-05 3.13695e-05 1.1203394e-05 1.0456501e-05 1.269718e-05 3.2116397e-05 6.4979686e-05 9.709608e-06 7.468929e-06 2.9128823e-05 9.709608e-06 2.016611e-05 1.19502865e-05 4.331979e-05 6.7220362e-06 4.9294933e-05 8.215822e-06 4.854804e-05 8.962715e-06 1.792543e-05 6.7220362e-06 2.539436e-05 1.269718e-05 1.19502865e-05 5.4523185e-05 4.1826002e-05 1.4190966e-05 1.9419216e-05 8.962715e-06 4.6307363e-05 6.7220362e-06 1.4937858e-05 1.7178538e-05 2.3900573e-05 1.0456501e-05 8.962715e-06 4.4813573e-06 3.7344646e-05 1.19502865e-05 1.4937858e-05 1.269718e-05 3.361018e-05 9.709608e-06 2.3900573e-05 1.568475e-05 3.5103967e-05 1.269718e-05 1.1203394e-05 5.9751433e-06 2.7635038e-05 1.0456501e-05 5.6763864e-05 1.568475e-05 7.8423756e-05 6.722036e-05 5.8257647e-05 5.601697e-05 4.107911e-05 1.4937858e-05 0.00022033342 0.0008044037 0.25421134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006785838 2.6545153e-05 5.9820063e-06 1.4955016e-06 3.7387538e-06 6.3558814e-06 7.477508e-07 1.4955016e-06 2.6545153e-05 1.4955016e-06 5.9820063e-06 1.4955016e-06 1.8693769e-06 1.4955016e-06 1.1216262e-06 7.477508e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012502393 1.1964013e-05 1.7198268e-05 4.3369546e-05 5.907231e-05 3.5144287e-05 5.3090305e-05 3.2901033e-05 7.4775076e-06 3.7387538e-06 2.9910032e-06 2.9910032e-06 4.4865046e-06 1.4955016e-06 2.2432523e-06 2.9910032e-06 0.0016745878 7.776608e-05 9.5338226e-05 8.225258e-06 0.000107302236 6.6549816e-05 6.729757e-06 1.1964013e-05 9.57121e-05 4.86038e-06 5.832456e-05 3.0657782e-05 6.3558814e-06 8.973009e-06 6.3558814e-06 3.7387537e-05 0.00096048584 1.3085639e-05 1.0094635e-05 1.1216262e-05 7.4027324e-05 2.991003e-05 0.00018170344 0.00011141486 5.982006e-05 5.608131e-06 4.4865046e-06 7.851383e-06 1.1216262e-05 9.72076e-06 1.1964013e-05 2.8788405e-05 0.00082888175 0.00011889237 0.000121509496 7.477508e-07 0.00012412663 0.00010917161 1.1216262e-06 0.0 0.0001245005 2.6171276e-06 9.5338226e-05 7.477508e-07 1.1216262e-06 0.0 0.0 2.6171276e-06 0.0014065192 0.0001458114 0.00014468978 3.8509166e-05 0.00025423526 0.00016226192 0.0004265918 0.00025273976 0.00011178874 4.4865046e-06 8.075708e-05 1.7198268e-05 7.4775076e-06 2.9910032e-06 3.7387538e-06 2.9910032e-06 0.23718318 0.080839336 0.08165214 4.598667e-05 0.08688453 0.0755075 0.00035256447 0.0002078747 0.08497103 1.08423865e-05 0.07662053 8.599134e-06 1.9067644e-05 1.0094635e-05 1.2711763e-05 2.3180273e-05 0.00021423059 8.973009e-06 5.2342552e-06 9.645985e-05 7.29057e-05 4.037854e-05 0.00017946018 0.0001031896 6.3558814e-06 3.3648785e-06 5.608131e-06 5.608131e-06 5.2342552e-06 5.9820063e-06 7.4775076e-06 5.2342552e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015426099 0.0002901273 0.00022806399 0.0002187171 0.00035929424 0.0002538614 0.00023479374 0.00046248385 0.0010760133 0.0001989017 0.00012263113 0.00024601 0.00021460447 0.00022058647 0.00014805465 0.0010745178 0.0002018927 6.617594e-05 4.374342e-05 5.15948e-05 7.14102e-05 6.84192e-05 3.5518162e-05 0.0001245005 0.0002961093 5.084705e-05 3.2901033e-05 7.963546e-05 5.5333556e-05 5.7202935e-05 3.888304e-05 0.00025722626 0.00023628924 0.00011291036 9.758148e-05 8.262646e-05 0.0001502979 9.72076e-05 0.00015889703 0.00011889237 7.739221e-05 6.056781e-05 5.2342555e-05 5.495968e-05 5.3838055e-05 5.346418e-05 4.86038e-05 7.5522825e-05 2913.0 6.3491244 18495.0 0.13295485 0.000108137334 0.08288727 0.00016220601 0.00032441202 0.0 0.00037848068 0.00016220601 0.07996756 0.0 0.069586374 5.4068667e-05 5.4068667e-05 0.00064882403 0.001459854 0.00032441202 0.00043254934 0.00064882403 0.00054068665 0.0010813733 0.00064882403 0.00162206 0.001459854 0.00037848068 0.00054068665 0.000486618 0.00064882403 0.00054068665 0.00064882403 0.00064882403 0.0011895107 0.00027034333 0.07347932 0.05185185 0.00075696135 0.0036226008 0.051797785 0.05022979 0.0012976481 0.0022168152 0.00032441202 0.00324412 0.00070289266 0.00037848068 0.0025412273 0.002757502 0.003406326 0.0010273047 0.073533386 0.05022979 0.001946472 0.005028386 0.045363612 0.048499595 0.00064882403 0.0017301973 0.00021627467 5.4068667e-05 0.00027034333 0.000108137334 0.00032441202 0.00016220601 0.00016220601 0.002757502 0.00027034333 0.008056232 0.0012435793 0.0052987295 0.00405515 0.022925114 0.0041092187 0.0023249527 0.0010273047 0.007839956 5.4068667e-05 0.000486618 0.0056231413 0.0048121116 0.010056772 0.00973236 0.005460935 0.00027034333 0.011408489 0.00648824 0.013841579 0.005515004 0.0031900513 0.00032441202 0.0012435793 0.00162206 0.000486618 0.00016220601 0.000108137334 0.0 0.00032441202 0.000108137334 4.527275 0.0 0.0 0.0 1.0 1338880.0 1351680.0 0.0 0.0 5.0 1.0 1.0 0.0 1.0 0.0 1140948200.0 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 -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 7.0 0.0 5.0 0.0 5.0 0.0 663552.0 1024.0 4096.0 5.0 0.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -660992.0 0.0 0.0 0.0 0.0 0.0 671744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5075264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.26198 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1664839 0.0 0.0 0.0 0.0 0.0 4.9305377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.030152 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -663552.0 0.0 0.0 0.0 0.0 0.0 671744.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 1343488.0 1372.0 1339392.0 0.0 0.0 0.0 0.0 604.0 1347584.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1336668.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.29668072 0.016612457 0.010143809 0.006594275 0.021080209 0.0040109274 0.0030401733 0.0034901462 0.014266659 0.001669697 0.005943299 0.0042439085 0.008444418 0.0042530447 0.0012014508 0.0024463001 0.0059227417 0.002334378 0.0016400033 0.0035632383 0.0053151636 0.0012951001 0.0013179414 0.0011466318 0.0041708164 0.0024325955 0.0019437922 0.0049839653 0.006203689 0.00082913815 0.003033321 0.0016148778 0.004705302 0.001436716 0.0013933176 0.0033325416 0.0042987275 0.0018638477 0.00087253656 0.0017656303 0.0052329353 0.0012357128 0.00298307 0.0010529826 0.0030858559 0.001114654 0.0017290843 0.0024120382 0.0036911494 0.0027066907 0.0025902002 0.0024006176 0.0036363304 0.002265854 0.0020465779 0.0012197238 0.0030584463 0.0011283588 0.0021265224 0.0011192223 0.004497446 0.0017473573 0.0014344319 0.0026450192 0.0153995855 0.0068363925 0.0029008414 0.0049999543 0.0036865813 0.0027912033 0.004184521 0.0023480826 0.0034878622 0.0018615637 0.0014755462 0.00154407 0.0034513162 0.0020854082 0.0017679144 0.0016422874 0.003789367 0.0018044604 0.0022361604 0.0018821207 0.003412486 0.0010735397 0.0013796128 0.0016103096 0.003252597 0.001564627 0.002229308 0.0009776064 0.003611205 0.0011397795 0.0022224558 0.0016103096 0.0042005097 0.002802624 0.001078108 0.0023092525 0.00459338 0.005191821 0.0019666334 0.0014709779 0.0062082577 0.0032023462 0.0008611159 0.0024371636 0.018341541 0.0019849064 0.0033256891 0.004241624 0.006235667 0.0032845747 0.0035198398 0.0028551589 0.00952481 0.0018889732 0.0017130953 0.0013019525 0.0064206813 0.001169473 0.0009501969 0.00064183975 0.0014504207 0.0010324254 0.00082000165 0.0036500352 0.004168532 0.0006966588 0.0006989429 0.0006783858 0.0013750446 0.00093877624 0.000826854 0.000808581 0.0011831778 0.0007925921 0.0019849064 0.0010118684 0.0009501969 0.0010826762 0.0011055175 0.0017359366 0.0012197238 0.0008245699 0.0008405588 0.0011192223 0.001994043 0.00066011277 0.0009273556 0.0009090826 0.0012334286 0.0008519794 0.0007994445 0.0005504746 0.00097532227 0.00080172863 0.002247581 0.001491535 0.0018204494 0.0014115906 0.0014047382 0.001132927 0.0017496414 0.0007377731 0.00062356674 0.0010461302 0.0017176636 0.0008519794 0.0015509223 0.00082000165 0.0014618414 0.0010986652 0.0012517017 0.0011534842 0.0012996683 0.00073548895 0.00083599053 0.0007651826 0.0012813953 0.0009547651 0.0008839572 0.0010644032 0.0022955479 0.0012973843 0.0021128177 0.0006783858 0.0017473573 0.00056189526 0.0006806699 0.0041411226 0.0027957717 0.00087938894 0.0010803922 0.0014961032 0.0016582763 0.00060300954 0.0011237905 0.0017884716 0.0012014508 0.0006167143 0.0005047921 0.0009821746 0.0015166604 0.0005824524 0.0005162127 0.0014047382 0.0026450192 0.00093877624 0.00077660324 0.00078802387 0.0017382208 0.0006623969 0.0009798906 0.0009913112 0.0014892509 0.0005915889 0.00094106037 0.0011283588 0.0014846827 0.00067610166 0.0008062969 0.001240281 0.003412486 0.0020602827 0.0010278572 0.0007811715 0.0022064669 0.000628135 0.0006875223 0.0020260208 0.0025605066 0.0006144302 0.0007286366 0.0012813953 0.0024485842 0.0008519794 0.0006372715 0.0014207271 0.0025582225 0.001258554 0.0007925921 0.0013225096 0.004131986 0.011870609 0.0010095842 0.00092278735 0.0029739335 0.0010826762 0.0014161589 0.0049108732 0.0065668654 0.0067107654 0.017786497 0.062397785 0.0093896715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002228213 0.0 0.0 1.1462001e-06 2.9801204e-05 2.4070203e-05 4.6994206e-05 1.7193002e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021514175 2.5216403e-05 2.1777802e-05 2.2924003e-06 2.1777802e-05 1.0315801e-05 4.6994206e-05 2.6362603e-05 1.0315801e-05 4.5848005e-06 1.1462001e-06 9.169601e-06 3.4386003e-06 2.2924003e-06 2.2924003e-06 8.0234e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019347857 6.647961e-05 3.6678404e-05 1.8339202e-05 8.9403606e-05 1.3754401e-05 1.7193002e-05 2.6362603e-05 8.0234e-06 6.8772006e-06 1.1462002e-05 2.2924003e-06 2.2924003e-06 6.8772006e-06 2.9801204e-05 7.6795404e-05 0.0018694524 0.00011003521 7.908781e-05 2.1777802e-05 6.647961e-05 5.731001e-06 3.6678404e-05 6.8772006e-06 4.5848005e-06 6.8772006e-06 1.60468e-05 9.169601e-06 1.1462001e-06 6.8772006e-06 3.3239805e-05 7.335681e-05 0.01881029 0.0010166795 0.00055361463 0.0023118856 0.0027955822 0.0016574054 0.00053412927 0.0008195331 0.00011576621 0.00011576621 0.00017078382 4.6994206e-05 5.7310004e-05 4.6994206e-05 0.00031978983 0.0011439077 0.0207382 0.0010052175 0.0010453345 0.0005295444 0.0015771714 0.00062124047 0.003024822 0.0019118618 0.00032322842 0.00015588322 0.00019026922 0.00014442121 0.00010545041 6.877201e-05 0.000121497214 0.0013009371 0.02743774 0.0010739896 0.0013387618 0.0021090081 0.00404494 0.0018087038 0.005079959 0.0031417345 0.00039085423 0.00026133363 0.00020860843 0.00025904123 0.00027050322 0.00016390662 0.00017422241 0.0015324695 0.043224353 0.0033595127 0.0021594411 0.0019026923 0.0046959817 0.002044821 0.005532708 0.004513736 0.0009616619 0.0008653811 0.0008103635 0.0007461763 0.0006991821 0.00045618764 0.0007461763 0.0070938324 0.10941053 0.01080179 0.007823962 0.0075397044 0.011035615 0.0062731532 0.01700044 0.010948503 0.0027795353 0.0019554175 0.0024826694 0.0017456628 0.002559465 0.0016195808 0.0027164943 0.033354424 0.123302475 0.016846849 0.013940086 0.011723335 0.016669188 0.008583893 0.021007556 0.011970914 0.00482321 0.0043051275 0.0045217597 0.004376192 0.004348683 0.0037354662 0.0067006857 0.053003732 0.021185217 0.003340027 0.002486108 0.002549149 0.008423424 0.00186716 0.0031428807 0.0017731716 0.0012035101 0.0013662706 0.001328446 0.0032620856 0.001448797 0.0014350426 0.0019393706 0.0066296216 0.003722858 0.00062238664 0.00046191865 0.00039085423 0.0011393229 0.00035646823 0.00057080766 0.00062811765 0.00034386004 0.00047452684 0.00043555605 0.00047452684 0.00037709984 0.00036449163 0.00046994205 0.0009043519 0.004064426 0.0008791355 0.00071064406 0.0012126798 0.0012837441 0.0008539191 0.00082984887 0.0009582233 0.00074732245 0.0006854277 0.0007255447 0.0011129603 0.0009685391 0.0008436033 0.0008928899 0.002010435 0.015137865 0.008747799 0.007975261 0.007503026 0.007720804 0.0090412265 0.0075305346 0.009858468 0.008389039 0.0073012947 0.00900111 0.009215449 0.007972968 0.0091902325 0.009309437 0.021035064 910.0 16.883516 15364.0 0.011650612 0.00058578496 0.0013668316 0.0007159594 0.0013017444 0.0008461338 0.0016922676 0.0014319188 0.002082791 0.0015620932 0.0014319188 0.0008461338 0.0013017444 0.0003905233 0.0033845352 0.000911221 0.008135902 0.0095678205 0.0110648265 0.011585524 0.010413955 0.0095678205 0.0099583445 0.008396251 0.010348868 0.009177297 0.001497006 0.00052069774 0.0007159594 0.0008461338 0.00052069774 0.011845874 0.0023431398 0.02082791 0.011390263 0.019786514 0.020242125 0.015230409 0.016401978 0.016401978 0.01262692 0.017117938 0.008070815 0.0099583445 0.012431659 0.012301484 0.01308253 0.010088518 0.016532153 0.00982817 0.013017443 0.021934392 0.014579536 0.009632908 0.011195001 0.014058839 0.011129914 0.009502734 0.008396251 0.0013668316 0.001822442 0.0010413955 0.0006508722 0.0055324133 0.0035147096 0.026555585 0.0069643324 0.022520177 0.016792502 0.0661937 0.006053111 0.008396251 0.007940641 0.025904713 0.002147878 0.00911221 0.024472794 0.019005468 0.027466806 0.035667796 0.011325176 0.0011715699 0.03807602 0.030916428 0.047578756 0.013147618 0.006899245 0.005922937 0.0057276753 0.008331164 0.002082791 0.0007159594 0.0006508722 0.001497006 0.0003905233 0.0026685758 5.9299293 4.0 0.0 0.0 5.0 437804.0 462848.0 0.0 0.0 13.0 0.0 1.0 0.0 0.0 0.0 1309809200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 425984.0 4096.0 4096.0 3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425984.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.955868 0.0 7.76261 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -422012.0 0.0 3692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 425396.0 3692.0 458752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 372.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.04336719 0.008171875 0.018109376 0.0065078125 0.016515626 0.0064375 0.015148438 0.0051640626 0.014328125 0.005875 0.013867187 0.0051484373 0.012570312 0.0049765627 0.012421875 0.00471875 0.011148438 0.0046328125 0.010679687 0.004328125 0.010421875 0.0044765626 0.010515625 0.0046484377 0.010375 0.0048125 0.010125 0.0044765626 0.009898437 0.004515625 0.00915625 0.00384375 0.009523437 0.0040234374 0.008773438 0.0038203124 0.009140625 0.003984375 0.0084375 0.0034375 0.0079375 0.003546875 0.0079375 0.00353125 0.0074453126 0.003578125 0.007890625 0.00309375 0.0076796873 0.0032265624 0.00709375 0.0032109376 0.006890625 0.0037421875 0.007140625 0.002890625 0.00703125 0.0032734375 0.006984375 0.0030078124 0.0065234373 0.00290625 0.0063359374 0.0028359375 0.00696875 0.003078125 0.006390625 0.002734375 0.006515625 0.0028046875 0.0061953124 0.0027421876 0.006234375 0.0031796875 0.005078125 0.0021796876 0.0053359377 0.0028671876 0.005640625 0.0031484375 0.0056953123 0.0027421876 0.00546875 0.002796875 0.00515625 0.00271875 0.00521875 0.0026953125 0.0053203125 0.00296875 0.0054453127 0.0027578124 0.005140625 0.003203125 0.00496875 0.002484375 0.0052578123 0.002609375 0.0048046876 0.002109375 0.00490625 0.0028671876 0.0046015624 0.002484375 0.00484375 0.0028046875 0.00453125 0.002484375 0.0046640625 0.002390625 0.0047890623 0.0025234376 0.0046484377 0.00221875 0.004671875 0.002109375 0.004671875 0.001984375 0.004140625 0.0018515625 0.0038046874 0.0020234375 0.003875 0.001875 0.0035390626 0.00215625 0.0037109375 0.0025234376 0.004328125 0.0022109374 0.0036875 0.002109375 0.00378125 0.0023125 0.003765625 0.0021796876 0.00359375 0.001953125 0.0036640626 0.0021640626 0.0035390626 0.0021640626 0.00303125 0.002015625 0.0035 0.0020390626 0.003265625 0.001765625 0.0029609376 0.0020703124 0.003171875 0.0017265625 0.0028984374 0.0019140625 0.0029765626 0.00196875 0.00321875 0.00165625 0.002984375 0.0017734375 0.0032578125 0.001828125 0.0025859375 0.0016796875 0.0025625 0.0017421875 0.0026015625 0.0015234374 0.0026015625 0.0015859375 0.0025703125 0.00153125 0.0025234376 0.00171875 0.002375 0.001453125 0.0026796875 0.001546875 0.0025 0.0016171875 0.00240625 0.001609375 0.002546875 0.0013671875 0.002375 0.0018046875 0.00246875 0.0014140625 0.0023125 0.0016875 0.0021171875 0.001484375 0.002125 0.00171875 0.002421875 0.001390625 0.002359375 0.001578125 0.0021875 0.0012421875 0.001875 0.00146875 0.001765625 0.001046875 0.0015 0.001734375 0.001953125 0.0011484375 0.0024140624 0.0024296874 0.0019765624 0.0011953125 0.0017734375 0.0016171875 0.0017890625 0.0012421875 0.001578125 0.002109375 0.0018828125 0.00165625 0.0019140625 0.0019921875 0.0014140625 0.0014375 0.00184375 0.00165625 0.001921875 0.0011171876 0.0026796875 0.0020078125 0.001921875 0.001609375 0.0028359375 0.0022421875 0.0024140624 0.0019296875 0.00225 0.001953125 0.001859375 0.00178125 0.002078125 0.00196875 0.0018203125 0.0015078125 0.001984375 0.002359375 0.001984375 0.0013671875 0.0015625 0.00159375 0.0016796875 0.0010546875 0.0014375 0.00175 0.001375 0.0014375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052805254 3.937752e-05 5.5128527e-05 0.00035045992 0.0004410282 0.00018507434 0.0010356287 0.0005276588 3.5439767e-05 7.875504e-06 1.1813256e-05 2.3626511e-05 2.3626511e-05 7.875504e-06 1.968876e-05 1.968876e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0043472783 0.0006300403 0.0005512853 0.00046859248 0.00038983746 0.0002953314 0.0004410282 0.00026776714 0.00019294985 0.00015751008 9.4506046e-05 0.00010238155 6.6941786e-05 2.3626511e-05 1.5751008e-05 1.968876e-05 0.0039456277 0.00026776714 0.00013782132 0.00043315272 0.00043315272 0.00025201612 0.0009411227 0.00051190774 0.00014175907 0.00011419481 0.00012600806 0.00019294985 0.00012207031 0.00012600806 0.00019294985 0.00012600806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14696084 0.093375914 0.073131934 0.059684508 0.05016696 0.043405842 0.035849296 0.029485887 0.024634577 0.020692887 0.0163968 0.01308515 0.009923135 0.0068201865 0.0040716357 0.0013467112 0.008816627 0.004418158 0.0024099043 0.001602665 0.0015120967 0.001905872 0.0017168599 0.0022169545 0.0017562374 0.0014569683 0.0016459803 0.0032801474 0.0013742754 0.001953125 0.0024807837 0.0017759262 0.022626324 0.01949581 0.020007718 0.018448368 0.018184539 0.018869707 0.01863738 0.016743321 0.019893523 0.017515121 0.01594002 0.01534542 0.016050277 0.019527312 0.025370937 0.023795836 1123.0 6.0854855 6834.0 0.029265437 0.0074626864 0.021217443 0.010535558 0.019900497 0.007023705 0.020485805 0.0071700322 0.02077846 0.007023705 0.023851331 0.007755341 0.019900497 0.0067310506 0.022534387 0.0059994147 0.018290898 0.0068773776 0.016973954 0.008340649 0.01565701 0.0073163593 0.016388645 0.00468247 0.019168861 0.0058530876 0.016242318 0.00570676 0.017559262 0.0059994147 0.015510682 0.00570676 0.016973954 0.007901669 0.017120281 0.0059994147 0.015949663 0.0068773776 0.013023119 0.005414106 0.017412934 0.008340649 0.013023119 0.0032191982 0.011852502 0.0065847235 0.011706175 0.0058530876 0.012876793 0.0036581797 0.013608429 0.0058530876 0.01404741 0.0042434884 0.011267194 0.006145742 0.013608429 0.005414106 0.01565701 0.004828797 0.010681884 0.0049751243 0.011852502 0.006145742 0.014632719 0.0071700322 0.011998829 0.004828797 0.012291484 0.010096576 0.010828212 0.00468247 0.009803922 0.0074626864 0.011559848 0.0043898155 0.012876793 0.00468247 0.011120866 0.0067310506 0.012584138 0.0043898155 0.014779046 0.005560433 0.015803337 0.003804507 0.008194323 0.0051214513 0.009218613 0.0040971613 0.009218613 0.0021949077 0.008633304 0.00468247 0.007023705 0.0035118526 6.386897 0.0 0.0 0.0 2.0 128000.0 155648.0 0.0 0.0 21.0 0.0 0.0 0.0 0.0 0.0 1160384300.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 5.0 0.0 4.0 0.0 39424.0 1024.0 4096.0 5.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 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 -36864.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.758244 0.0 0.0 0.0 0.0 0.0 0.0 7.321507 0.0 0.0 1.0653625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.959385 0.0 0.0 2.774422 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 73728.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 703.0 78640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0