Input: 0.56846726 0.0041821846 0.0010143301 0.0013210956 0.0010652008 0.0009834995 0.00080159825 0.0010991145 0.0034407063 0.0036750198 0.01771378 0.0013010557 0.001336511 0.0012995141 0.00087559194 0.0021242355 0.0044349968 0.0008509274 0.0005487865 0.00064436166 0.0007568938 0.0011176129 0.0006582355 0.0010852407 0.015026884 0.00105441 0.0010636592 0.009333995 0.00063973706 0.000570368 0.004219182 0.0012224374 0.0022398506 0.001973165 0.0018976297 0.010505562 0.0019485004 0.0012733081 0.016250864 0.0022675982 0.002238309 0.0013950893 0.00076614297 0.00062586326 0.00049945735 0.001203939 0.0005241219 0.00048404202 0.001140736 0.013375901 0.0012517265 0.0010420778 0.00054570346 0.00046400208 0.0032773037 0.000593491 0.00064436166 0.00046862668 0.0003036824 0.0005842418 0.000285184 0.00040542375 0.000659777 0.0012763911 0.0019747065 0.0011484437 0.00034838694 0.00049791584 0.0008247213 0.0006536109 0.00032218083 0.00027593478 0.0056774737 0.0009865825 0.00034838694 0.00030522395 0.00105441 0.0006073648 0.00030984855 0.0036041092 0.0010451608 0.00063048786 0.0006782755 0.00050254044 0.00044550365 0.00047787587 0.00042700523 0.0007507276 0.00064127863 0.0005981156 0.008200967 0.0009958317 0.00078618294 0.00035609462 0.0003252639 0.00064744474 0.0006042818 0.0008370536 0.0005349127 0.000659777 0.0006967739 0.0012532681 0.00073531223 0.0004485867 0.00920759 0.0013133879 0.00057190954 0.0008216382 0.0011623175 0.0041143573 0.0009773333 0.0011191545 0.0008185551 0.0004254637 0.0010359116 0.000878675 0.0018220945 0.0009696256 0.00043317137 0.00037613456 0.00043317137 0.00049791584 0.0004825005 0.012921147 0.00080005673 0.00084938586 0.0034437894 0.0005087066 0.00071835535 0.00044550365 0.00024356255 0.0018976297 0.011237791 0.0017388517 0.00047479282 0.00027593478 0.00035609462 0.0012286035 0.00032680546 0.0043455875 0.00028055938 0.0010590346 0.00019423342 0.0001356551 0.0003345131 0.000115615134 0.00010019978 0.00010482439 0.00016340273 0.00012948895 7.245215e-05 9.8658245e-05 0.00021273184 0.00013873816 9.711671e-05 0.000101741316 0.00020039956 0.00012948895 0.000118698204 0.00012332281 0.00034992848 0.00018190114 0.00029289167 0.00020810725 0.0002636025 0.00032372237 0.0022475582 0.00030059935 0.00039000838 0.00022968874 0.00016956887 0.0001140736 0.00015261197 0.00012948895 0.0001495289 0.00018190114 0.00027901787 8.4784435e-05 0.00012640588 8.1701364e-05 8.32429e-05 8.632597e-05 0.00012332281 0.00019423342 0.00043779597 0.00027593478 0.00022198106 0.00011253206 0.00019577496 0.00015107045 0.00011099053 0.00013873816 0.0012671419 0.00049945735 0.00022968874 0.00070910616 0.00056728494 0.0002589779 0.0002065657 0.00037459304 0.0005395373 0.00041467295 0.00022968874 0.00032680546 0.0011314867 0.00022660567 0.00073993683 0.00029289167 0.00043779597 0.00025281176 0.0002898086 0.00024202101 0.00017265194 0.00019269189 0.00021119032 0.00016340273 0.00031447317 0.00019885803 0.00012640588 0.00022198106 0.00010328285 0.00024664562 0.0037135582 0.0001711104 0.000659777 0.00026051945 0.00020810725 0.00019423342 0.0018143868 0.00036226076 0.00035301154 0.00036380228 0.0015137875 0.00040234067 0.00029751626 0.0005981156 0.00057190954 0.00016802733 0.00018190114 0.0033944603 0.00086634274 0.00035147002 0.00042392215 0.00026051945 0.00018344268 0.00022043953 0.00033913774 0.0002543533 0.0006813585 0.00035917768 0.00024972868 0.00033605465 0.03396927 0.02964218 0.025820713 0.02949265 0.1423618 0.0 1.6224536e-05 0.0 7.7259693e-07 2.3177906e-06 1.1588953e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.2361551e-05 0.018060999 1.6997132e-05 0.00034844122 1.2361551e-05 1.1588953e-05 1.8542325e-05 2.5495698e-05 1.5451938e-05 6.1807754e-05 4.6355813e-06 6.1807755e-06 2.5495698e-05 2.1632713e-05 7.725969e-06 2.1632713e-05 0.0003283537 0.021305906 2.008752e-05 0.0008019556 1.5451938e-05 2.5495698e-05 3.8629846e-06 4.6355813e-06 1.6224536e-05 3.9402443e-05 6.953372e-06 7.725969e-06 2.3177907e-05 3.3994264e-05 3.013128e-05 3.553946e-05 0.0013636335 0.03616449 0.0001251607 0.0019747578 0.00012902368 6.1035156e-05 4.1720232e-05 4.3265427e-05 6.8761125e-05 7.49419e-05 2.8586086e-05 2.7813488e-05 2.7813488e-05 5.4081785e-05 2.7813488e-05 6.4898144e-05 0.005389636 0.020446777 0.00022791608 0.00076641614 0.00018774105 3.1676474e-05 3.8629845e-05 3.7857248e-05 0.00011588954 0.00016379055 8.498566e-06 5.4081784e-06 1.004376e-05 9.3484225e-05 1.3906744e-05 9.193903e-05 0.007823316 0.030991953 0.0008436758 0.0026716401 0.00036930133 0.0005276837 0.00026345556 0.00037779988 0.00015606458 0.00095724757 4.8673606e-05 5.0218798e-05 4.712841e-05 7.725969e-05 7.262411e-05 0.00027349932 0.0034110153 0.045585535 0.001897498 0.0037733633 0.00045505958 0.0011542598 0.0007579176 0.0017290718 0.00081431714 0.0014733423 0.00010893617 0.00013752225 7.41693e-05 0.00010198279 0.00020628338 0.0003013128 0.0063028457 0.034809355 0.0033461172 0.0028300225 0.00080350076 0.0007370575 0.00071310694 0.0017174829 0.0004264735 0.00094720384 4.4810622e-05 4.4810622e-05 5.3309188e-05 8.730345e-05 0.0002456858 0.0002518666 0.006739363 0.06398184 0.008780564 0.006779538 0.0021879945 0.0021648165 0.0019036788 0.0052760644 0.0019369004 0.0018990432 8.9621244e-05 0.000106618376 0.00016610834 0.00024414062 0.0010252361 0.0010329621 0.016348923 0.13334481 0.019149587 0.015706895 0.015500612 0.0024058667 0.008670082 0.009000754 0.016637875 0.0070414483 0.00035693977 0.000490599 0.00027118152 0.00030826617 0.0025611587 0.0027790312 0.05058501 0.03786343 0.0047143865 0.0052428427 0.0021230963 0.0010692741 0.0017893345 0.0038931158 0.002830795 0.00285011 0.000346896 0.0021153702 0.0003260359 0.00074941904 0.0006203953 0.002317018 0.01659152 0.011491607 0.0013968552 0.0015405583 0.00071774254 0.00067988527 0.0008498566 0.0012902368 0.0007849585 0.0008320869 0.00033917004 0.0014918846 0.00028277046 0.0005245933 0.0002534118 0.0007741421 0.0036489752 0.0013698143 6.1035156e-05 0.000111253954 0.0002565022 5.948996e-05 6.5670734e-05 0.00019933001 0.00017306171 9.116644e-05 8.9621244e-05 0.00011202655 0.00011666214 0.00016456314 0.00011588954 8.3440464e-05 9.502942e-05 0.009832841 0.0018805009 0.0024545405 0.0020976006 0.0078125 0.0015312871 0.0007741421 0.0018356902 0.006631972 0.00042801868 0.00034844122 0.0008073638 0.0041364837 0.0012284291 0.0023641465 0.003304397 0.0027512177 0.0005245933 0.0008313143 0.00061653234 0.0019477168 0.0006296665 0.0004272461 0.0006837483 0.0016803982 0.00011897992 0.00013520446 0.00027040893 0.0011982978 0.0004272461 0.0007301041 0.0012678315 0.0003994326 0.00030903876 0.00030594837 0.0008792153 0.0002534118 0.00020782858 0.00023255167 0.00021709973 0.00024259543 0.0001753795 0.00020242039 0.00017846988 0.00021169156 0.00020860117 0.0002240531 0.00049909763 442.0 13.683258 6048.0 0.046296295 0.0028108465 0.009093915 0.00066137564 0.01603836 0.00066137564 0.0016534391 0.0072751325 0.0023148148 0.0009920635 0.0009920635 0.0013227513 0.0009920635 0.008101852 0.012566137 0.0049603176 0.006448413 0.003968254 0.0028108465 0.005952381 0.004133598 0.0028108465 0.0036375662 0.0016534391 0.0047949734 0.005621693 0.0029761905 0.0028108465 0.007771164 0.0051256614 0.011739418 0.001984127 0.0036375662 0.03339947 0.0021494708 0.0107473545 0.006448413 0.0069444445 0.005952381 0.0051256614 0.017857144 0.0062830686 0.0013227513 0.0014880953 0.0066137565 0.0051256614 0.0023148148 0.0023148148 0.0071097882 0.0011574074 0.0047949734 0.007771164 0.011243386 0.010085979 0.008928572 0.014384921 0.00380291 0.0011574074 0.001984127 0.0016534391 0.005787037 0.004464286 0.0062830686 0.011739418 0.0072751325 0.03968254 0.009424604 0.03207672 0.02744709 0.066468254 0.013723545 0.0072751325 0.006448413 0.037037037 0.0011574074 0.0018187831 0.028769841 0.014550265 0.03422619 0.040839948 0.014550265 0.0014880953 0.046296295 0.035218254 0.061011903 0.019179894 0.008763228 0.0049603176 0.0072751325 0.01223545 0.0023148148 0.0011574074 0.0024801588 0.0013227513 0.0004960318 0.001984127 5.737231 1.0 1.0 0.0 5.0 648704.0 671744.0 1.0 2.0 66.0 1.0 1.0 0.0 0.0 0.0 1529071100.0 0.0 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 0.0 6.0 0.0 6.0 0.0 38912.0 1024.0 4096.0 7.0 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 34816.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39424.0 0.0 565760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.406474 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7774034 0.0 0.0 0.0 0.0 4.8366003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8106153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.547578 0.0 3.138574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34558.0 0.0 0.0 0.0 0.0 2976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39024.0 0.0 565464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 136.0 77616.0 60.0 77752.0 565464.0 98304.0 2976.0 90112.0 0.0 0.0 1556.0 667648.0 84.0 74000.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 74096.0 0.0 0.0 544.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.121440105 0.0104135405 0.0070501277 0.008064689 0.0073144855 0.0059909117 0.0033562682 0.003777811 0.0120961405 0.0021988112 0.0020148326 0.001641517 0.0064892615 0.0033044685 0.0015486346 0.008593404 0.007569912 0.0016182964 0.0013021391 0.0018326403 0.0057837125 0.0023649277 0.0012164016 0.0011985396 0.0038206798 0.0017504751 0.0011860362 0.001219974 0.003211586 0.00118425 0.0010610023 0.0013682285 0.0044726427 0.0010127749 0.0015218416 0.0011431674 0.019040883 0.0024202997 0.0010181335 0.0010824366 0.0021988112 0.0013521527 0.0010181335 0.0051639015 0.0017201097 0.0011646018 0.0010788642 0.00094668556 0.0038903416 0.002261328 0.0022023835 0.006271345 0.0027918292 0.004747717 0.0022631143 0.0023077691 0.0032544548 0.0031794345 0.002422086 0.0049406267 0.0026935881 0.0023756449 0.0021184322 0.0021720182 0.004322602 0.0023006245 0.0017933439 0.0018951573 0.010358169 0.020507352 0.003113345 0.013289321 0.0028311256 0.0014557523 0.0014646832 0.001202112 0.004322602 0.007087638 0.0015843586 0.0012807047 0.006574999 0.0032223032 0.0013396493 0.0030651176 0.0026953744 0.0044422774 0.0033973507 0.003032966 0.002332776 0.0044279876 0.0014307455 0.0017736957 0.0036795703 0.004917406 0.0022577557 0.0019344536 0.0020773495 0.0016540204 0.0010502851 0.0015200555 0.00398501 0.0036706391 0.002522113 0.0011949672 0.0060980837 0.0051639015 0.0055157826 0.0024381618 0.0022988382 0.0012896358 0.0017076064 0.0018808676 0.0024113688 0.0009824095 0.002602492 0.0021577284 0.0083326185 0.008273674 0.001677241 0.0016879581 0.002388148 0.0013557251 0.001014561 0.001068147 0.002089853 0.0026078506 0.0017111788 0.0014914763 0.0031187036 0.0017879853 0.0011896086 0.009766936 0.0036438461 0.012612352 0.0012664151 0.0011092296 0.0025006786 0.01211043 0.0015325588 0.029792015 0.0017433304 0.011047642 0.001121733 0.0011788914 0.002134508 0.0010127749 0.0010842228 0.0013396493 0.0013932353 0.0017719095 0.00093060976 0.0011360226 0.0018308541 0.0011860362 0.0011074435 0.0010217059 0.0014879039 0.0023792172 0.0009841957 0.0013985939 0.0022256041 0.0021988112 0.0013414355 0.0016968892 0.0015414899 0.0018344265 0.0009538303 0.0010234921 0.001848716 0.0010181335 0.0009484717 0.0011056572 0.001695103 0.0010217059 0.00097347854 0.003365199 0.002029122 0.001103871 0.0010217059 0.0011235193 0.0018987297 0.0022577557 0.0021773768 0.0017719095 0.0030722625 0.0013664423 0.0011110158 0.0011288779 0.0014414627 0.0017826267 0.0012789186 0.0011288779 0.007296623 0.0058623054 0.0034402194 0.0034777296 0.0030472558 0.0011020849 0.003499164 0.0056086653 0.0053335903 0.003066904 0.0019773224 0.0012967805 0.003245524 0.0012003258 0.0014253869 0.001300353 0.003111559 0.0016879581 0.0017236822 0.0014128835 0.0026703677 0.0012789186 0.0016968892 0.0013182149 0.0029115046 0.0020076877 0.0011199468 0.0016040069 0.015063017 0.01283384 0.0040689614 0.0017111788 0.0042011403 0.0018612195 0.0012164016 0.0010574298 0.0031329934 0.0014771867 0.0010842228 0.001068147 0.013650133 0.00482631 0.0012271188 0.0038367556 0.005699761 0.0010913677 0.0012181877 0.001579 0.004654835 0.001462897 0.0015343451 0.001453966 0.0031883654 0.0022005972 0.0027668225 0.002107715 0.005910533 0.0018237093 0.0020041154 0.0034223576 0.008182578 0.0040225205 0.008243309 0.06770052 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.010557626 0.0004622993 0.0005312858 0.00039510464 0.0015651878 0.00050888764 0.0014137758 0.0008269424 0.0004802179 0.00038883314 0.00051426317 0.0008036482 0.0006880734 0.0005366614 0.00077945815 0.0015660838 0.0107395 0.0014290066 0.001499785 0.018543936 0.0024539493 0.0018276949 0.0024888904 0.0021063287 0.002029279 0.0015669797 0.0016834504 0.0018438217 0.0019217675 0.0019307268 0.001965668 0.0046848124 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.058380518 0.015335615 0.021607118 0.010408902 0.03268707 0.020394925 0.013033078 0.013562571 0.037461475 0.0032584935 0.0057258816 0.004989428 0.019474806 0.02055888 0.016535264 0.031356614 0.013876147 0.010733228 0.010647219 0.010550459 0.010960794 0.010468033 0.010632884 0.010325581 0.01129408 0.010926749 0.010703662 0.010793256 0.010441155 0.010534332 0.010640051 0.010784296 2003.0 10.40689 20845.0 0.020868314 0.0038378509 0.0054689376 0.0037419046 0.013240585 0.0036459584 0.004173663 0.0065243463 0.006284481 0.0034060925 0.004605421 0.0054689376 0.0068601584 0.0044615017 0.0059966417 0.0048932596 0.02432238 0.017846007 0.017030463 0.01866155 0.019668985 0.019189253 0.016598705 0.018133845 0.019812904 0.018997362 0.018277764 0.018901415 0.017941952 0.015639242 0.015543296 0.01439194 0.0076757018 0.0081554325 0.004989206 0.009258815 0.010650036 0.006284481 0.007100024 0.007819621 0.008347326 0.005708803 0.003550012 0.0041256896 0.008203406 0.005708803 0.0045094746 0.0069561047 0.013432478 0.007052051 0.0059006955 0.011513553 0.0096426 0.0057567763 0.0077236746 0.009498681 0.005564884 0.005085152 0.0048932596 0.0044615017 0.0070040775 0.004317582 0.0040297434 0.0073398896 0.0076277284 0.017174382 0.008443272 0.016742624 0.016071001 0.035835933 0.00796354 0.008539218 0.011369633 0.017846007 0.00810746 0.005948669 0.018133845 0.009354761 0.017414248 0.022211561 0.009402734 0.003597985 0.02341089 0.01775006 0.032046054 0.011849364 0.0055169105 0.0062365076 0.009306788 0.007819621 0.004605421 0.003885824 0.0065243463 0.003550012 0.0034060925 0.0056128567 6.3210416 0.0 9.0 0.0 6.0 559848.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 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 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 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 1.0 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -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 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553864.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0


Input: 0.1427523 0.008649465 0.0041951523 0.003431378 0.006254727 0.003957174 0.0020334092 0.0019648813 0.007900642 0.0015138433 0.0017057214 0.0015088595 0.0045838924 0.0013755416 0.001233502 0.0038986136 0.006177477 0.0015088595 0.0011898932 0.0008983383 0.0024769716 0.0019873087 0.00077000423 0.0008285644 0.0023137506 0.0007575446 0.00083354826 0.00071393594 0.0016222419 0.00060678326 0.00059681555 0.00056815846 0.0039011056 0.0005893398 0.00065537577 0.00054573116 0.004176463 0.0013244571 0.00046723557 0.0005644206 0.0011898932 0.0006566217 0.0005868479 0.0009481767 0.0011113976 0.0023548673 0.000680295 0.00052081194 0.0056167943 0.0026676035 0.0031485448 0.0101197 0.0032893384 0.0018726801 0.0027485911 0.0015748953 0.0038101503 0.0019499297 0.0007189198 0.0014914159 0.0016770642 0.0009818177 0.00046848154 0.0005320256 0.011847848 0.003953436 0.0049327617 0.008883705 0.0038936299 0.03276879 0.0032893384 0.0027261637 0.003405213 0.0035709257 0.00220286 0.0023698187 0.0027274098 0.0044156876 0.0011674659 0.0015412545 0.009117946 0.0021580053 0.0020695422 0.009819423 0.0032257943 0.013927358 0.003243238 0.0021094128 0.0019387162 0.0065562497 0.0027598047 0.0032806166 0.0015761413 0.004667372 0.002393492 0.00362824 0.005802443 0.004439361 0.0016982455 0.0032818627 0.009313562 0.0061712475 0.003919795 0.0015574519 0.00789192 0.004266172 0.003656897 0.0013967229 0.0035372847 0.001750576 0.0044144415 0.004073048 0.0031684802 0.0017144431 0.00485302 0.0038662187 0.010259247 0.0055781696 0.0016982455 0.0011163815 0.0028208569 0.0012721267 0.0005345175 0.0005943237 0.0016646046 0.0025355318 0.0010702809 0.0008808948 0.005280385 0.0011662199 0.0010964462 0.009126668 0.0031435608 0.0032494676 0.0010416239 0.00062298076 0.0026813091 0.015295424 0.0022489605 0.05209116 0.0012048448 0.011077844 0.00086345134 0.00068527885 0.0026750795 0.00044730018 0.00073262537 0.0006503919 0.0011313331 0.00094319286 0.001522565 0.0005718963 0.0011824175 0.0005930777 0.00050336844 0.00071767386 0.0009631283 0.00047969518 0.00046848154 0.00042238095 0.0009033221 0.0033528826 0.0004697275 0.0025691728 0.0014341017 0.00082358054 0.00056815846 0.00045602192 0.0010540835 0.00046100575 0.00051333616 0.00049090886 0.0008534836 0.00045353 0.00074757694 0.00066285155 0.0013344248 0.0006902627 0.0017431002 0.0005407473 0.0008846327 0.00067531114 0.00071767386 0.0015910929 0.003173464 0.0025529752 0.004684815 0.0008298104 0.0010079829 0.00048343308 0.0008597135 0.0007201658 0.012084581 0.0011574982 0.0023037829 0.01042496 0.0043895226 0.001066543 0.0035833854 0.0033927532 0.0018838939 0.0017779871 0.0009905394 0.0013119975 0.0016945077 0.0008995842 0.0009992612 0.0009494227 0.0028956146 0.0011587442 0.0029965374 0.0013630819 0.0018265796 0.0007737421 0.0016160121 0.00088214077 0.0033927532 0.00065911363 0.0010939542 0.0018004144 0.0015076135 0.00072390365 0.0005669125 0.0008484998 0.0024570362 0.00066285155 0.0008846327 0.0009980152 0.0024508063 0.0024495604 0.0005544529 0.0006989844 0.027812352 0.0060703247 0.00110143 0.0059432364 0.0065811686 0.0010503456 0.00068527885 0.0007600365 0.007296351 0.0009843096 0.0018303174 0.0009257494 0.009205163 0.0021866625 0.0041266247 0.0026127812 0.010142127 0.003076279 0.0030962145 0.0036394536 0.014998885 0.004025702 0.004333454 0.069443665 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001789532 0.0 0.0 0.00052137446 0.00024663823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010470573 0.0 0.0 0.004417634 0.003014606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000628147 0.0 0.0 0.00037401594 0.00027660947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005550921 3.7464035e-06 1.8107618e-05 6.743526e-05 0.00014985613 7.617687e-05 6.244006e-06 7.492807e-06 1.5610014e-05 0.0 0.0 1.8732018e-06 8.1172075e-06 3.122003e-06 4.9952046e-06 0.00036090353 0.006138482 0.000207301 0.00021479379 0.0005544677 0.0019237782 0.0004914033 0.0024638847 0.0010720958 0.00019606178 0.000101152895 9.3035684e-05 7.555247e-05 0.0006762258 0.00038275754 0.00040336276 0.0029084578 0.013413997 0.0006456302 0.00095221086 0.0020954884 0.004157259 0.003633387 0.007013892 0.003231273 0.00045706122 0.00023727222 0.00031282468 0.0003328055 0.002096737 0.0011120575 0.0011295406 0.009050686 0.020913048 0.0013118656 0.0012419327 0.0020923663 0.007366678 0.0025787745 0.006737282 0.0032787274 0.002408313 0.0009815576 0.0009834309 0.0013449588 0.004086077 0.0026680636 0.0026924154 0.0096469885 0.0203642 0.0015728651 0.0012600403 0.002283433 0.009493386 0.0040723407 0.00592681 0.0034317055 0.0058525065 0.0014236333 0.0017914053 0.0023215213 0.0038900157 0.0017851612 0.0040735896 0.009741274 0.074571535 0.009891129 0.007335458 0.010157124 0.042379316 0.03083415 0.021465018 0.014057755 0.051862713 0.005331132 0.006101018 0.009211781 0.016914386 0.0071269083 0.027648458 0.061531555 0.06071359 0.010206452 0.00918743 0.01175996 0.0283328 0.030837895 0.017804783 0.014720868 0.050197434 0.0059299325 0.0065318546 0.009219899 0.021258967 0.01102067 0.025273237 0.04889681 0.00023539901 4.8078844e-05 8.679168e-05 5.244965e-05 9.116248e-05 9.990409e-05 4.370804e-05 6.618646e-05 0.00013549492 2.9346827e-05 3.371763e-05 2.9346827e-05 8.491848e-05 6.0566857e-05 7.3679264e-05 0.0001080213 5347.0 15.43314 82521.0 0.0056712837 0.0001332994 0.00058167015 9.694502e-05 0.0034900208 0.0005937882 0.0001332994 0.00018177192 0.00041201632 0.00042413446 0.000763442 0.00060590636 0.00052107946 0.014844706 0.0011754583 0.0004847251 0.025011815 0.01695326 0.025666194 0.012057537 0.021255195 0.013960083 0.022685135 0.010930551 0.024793688 0.014178209 0.00086038705 0.0005331976 0.0009936865 0.0005574339 0.00012118128 0.00014541754 0.0014178209 0.008882588 0.007707129 0.015111305 0.0074284123 0.016795725 0.0049199597 0.0031991857 0.005125968 0.01832261 0.002556925 0.004156518 0.007101223 0.006943687 0.0046170065 0.009597557 0.013439003 0.0027265786 0.0062287175 0.021315787 0.013608657 0.006519553 0.006143891 0.0036354382 0.0028962325 0.0055743386 0.0015874747 0.0031143588 0.0012118127 0.0029083507 0.0030295318 0.023109268 0.0002665988 0.031749494 0.012687679 0.027726276 0.02673259 0.05468911 0.01119715 0.010373117 0.019086052 0.03584542 0.0069073327 0.006943687 0.024757335 0.012118127 0.038608354 0.035300106 0.019037578 0.0027023423 0.039117314 0.029277395 0.042570982 0.011136559 0.009864156 0.00588941 0.013838901 0.0069558052 0.0010906315 0.00030295318 0.000569552 0.0002665988 0.00031507132 0.00032718945 5.772692 0.0 2.0 14.0 4.0 802593.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5754533 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.037695706 0.0069392533 0.007769726 0.004833458 0.0077006295 0.003756212 0.004632749 0.003886508 0.004426118 0.0038443923 0.006829357 0.0036653997 0.004027991 0.003485091 0.0032672728 0.0037726637 0.0043405704 0.0042543644 0.0037845087 0.0043767635 0.0031639573 0.0035765613 0.003929282 0.0037377863 0.0043741316 0.0039648176 0.0038680825 0.0038114893 0.0035107553 0.003410072 0.0039845593 0.0046702586 0.005628396 0.0036048582 0.0042142225 0.003948366 0.0042471257 0.0030948608 0.004068791 0.003957579 0.0036022258 0.003021158 0.0036844835 0.0035587938 0.003657503 0.0033436078 0.0036167032 0.0033475563 0.0041675004 0.004230016 0.003798986 0.004091165 0.0033975688 0.0036410515 0.0037950377 0.0035620842 0.0032435826 0.0032317375 0.0037035672 0.0032547696 0.003548923 0.0037963537 0.004039178 0.004395189 0.0047854194 0.0039839013 0.0034706136 0.0035416842 0.004282003 0.0034548203 0.0035193102 0.0036568448 0.0040832683 0.0042385706 0.0030461643 0.0033422918 0.004005617 0.0035272068 0.0034278396 0.004002985 0.003592355 0.003506807 0.0032212085 0.0035212843 0.0034456074 0.0033521627 0.0036825093 0.0034548203 0.0036765868 0.003464691 0.0035844583 0.0035732712 0.0032304213 0.0031468477 0.0034140204 0.0040082494 0.004045759 0.0040483912 0.004026675 0.0042675254 0.0038641342 0.0047512003 0.0036647415 0.0037423929 0.0035153618 0.004297138 0.0032541116 0.0039444175 0.0040306235 0.0042583128 0.0043175383 0.006592455 0.00390625 0.003615387 0.0045498335 0.0046564396 0.004143152 0.0039681075 0.0032791179 0.0035430004 0.0035759034 0.0034581104 0.003702251 0.005473093 0.0037792441 0.0040003527 0.003982585 0.004283977 0.005102605 0.004027991 0.0036074903 0.0034133624 0.0031343445 0.0033416336 0.003119209 0.003171854 0.0038970371 0.003979953 0.0030514288 0.0034758782 0.0036246 0.0039621852 0.0035772196 0.004199087 0.0037200188 0.0038450502 0.0036496061 0.0038220182 0.0030659062 0.0034548203 0.0033653239 0.0032212085 0.003798986 0.003831231 0.0029500874 0.0034521879 0.0029750937 0.0035535293 0.003657503 0.004198429 0.0037621346 0.0030599835 0.0032600341 0.00306459 0.0033732206 0.0032751695 0.0033534789 0.0034896974 0.0034725878 0.0033186015 0.0030349772 0.0034232333 0.0034179688 0.0037272575 0.003238318 0.0036772448 0.0034291558 0.0036324966 0.0034614007 0.0031955442 0.0036489482 0.003702251 0.0038253085 0.0038575535 0.0036430256 0.0033890142 0.0029395584 0.0033153112 0.003227131 0.0034798265 0.0036088065 0.004109591 0.0043326737 0.003162641 0.0032666146 0.003227131 0.0039615273 0.0030955188 0.004101694 0.0040720813 0.003831889 0.0035265489 0.003594329 0.003269905 0.0035778775 0.0029527196 0.0032317375 0.0037785862 0.003508123 0.0030501126 0.0036956705 0.0036667157 0.0036292062 0.0032672728 0.0037292317 0.0037285734 0.0036173612 0.0032652987 0.0036963285 0.0040299655 0.0039088824 0.003248847 0.003356769 0.0037779282 0.0035351035 0.0033317627 0.0033633497 0.0041918484 0.0038463664 0.00345153 0.0032883307 0.0034258654 0.0032501633 0.0037930636 0.0036127549 0.003571297 0.0032251568 0.0038588697 0.0036417095 0.00328175 0.003496936 0.0041510486 0.0036634256 0.0034824586 0.0038332052 0.0035508971 0.0036555286 0.0037423929 0.0042767385 0.0038029344 0.0039371788 0.004024701 0.004339912 0.003934547 0.004369525 0.004684736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009219066 9.976346e-05 9.74587e-05 2.3376917e-05 1.2511589e-05 2.3047664e-06 6.6179724e-05 0.0001106288 2.9632713e-06 9.877571e-07 2.3047664e-06 1.3170095e-06 9.877571e-07 1.9755141e-06 1.3170095e-06 2.634019e-06 0.004014903 0.00039905385 0.00034933674 0.00029468085 0.00038950556 0.00025582907 0.0017674266 0.0011727969 2.1401404e-05 9.548318e-06 7.5728044e-06 1.7450375e-05 5.9265426e-06 5.59729e-06 7.243552e-06 4.7741592e-05 0.020494971 0.0023123394 0.0014687948 0.0013940545 0.0008524344 0.000555778 0.0030001474 0.003916786 0.00025187805 0.00014948058 0.00018734459 0.00023113516 0.00027196246 0.00026109713 0.00017977179 0.00021039226 0.0044439193 0.00063315226 0.00038522526 0.00025451207 0.00024364675 0.00022553786 0.0007582682 0.0005037561 9.383692e-05 0.0001106288 0.00013433496 7.6057295e-05 7.0789254e-05 5.3997388e-05 5.0704864e-05 5.333888e-05 0.0026597006 0.00033122787 0.0002522073 0.00016627244 0.00032727685 0.00033188637 0.0010078414 0.0004546975 6.519197e-05 5.3997388e-05 6.9142996e-05 9.251991e-05 6.947225e-05 5.8936173e-05 8.36301e-05 4.477832e-05 0.0011537003 0.00017351599 0.00013170094 0.00014882207 9.383692e-05 8.955664e-05 0.00040168787 0.0002212576 9.251991e-05 2.2059909e-05 2.5023179e-05 2.6340189e-05 2.6010937e-05 2.4693927e-05 4.0168787e-05 2.6340189e-05 0.00066508976 9.186141e-05 0.0001471758 0.000121823374 9.877571e-05 0.00011589683 0.00032859386 0.00020216095 3.3254488e-05 3.1278974e-05 2.5681684e-05 3.2925236e-05 3.8193273e-05 2.5023179e-05 3.2266733e-05 3.2925236e-05 0.00019689291 2.6998694e-05 2.9961964e-05 4.609533e-05 3.3912995e-05 3.062047e-05 9.0544396e-05 6.124094e-05 1.810888e-05 1.7450375e-05 1.4816356e-05 2.0084393e-05 2.1072152e-05 1.7779628e-05 2.2718414e-05 2.6010937e-05 0.0018286676 0.00035164153 0.0004300036 0.00043527162 0.00043724713 0.00036448237 0.0007118436 0.0005324011 0.0002854618 0.00029007133 0.00025517057 0.00025945087 0.00025912162 0.00028743732 0.000280523 0.00040860218 0.0737848 0.058353394 0.057301436 0.057033423 0.057909563 0.053937793 0.058460403 0.056737095 0.05785919 0.05591298 0.053262167 0.0557444 0.056257375 0.056477644 0.056007802 0.06213519 7097.0 7.623362 54103.0 0.014379979 0.007005157 0.009481914 0.008262019 0.007633588 0.0057482948 0.008391402 0.007153023 0.006025544 0.00526773 0.0071899896 0.006875774 0.011348723 0.0066724583 0.017374268 0.0060809935 0.014583295 0.010516977 0.009204665 0.00979613 0.0076705543 0.008428368 0.008409885 0.008982866 0.00611796 0.0066170082 0.007467238 0.0056558787 0.0067648743 0.011311757 0.0066539748 0.006469142 0.008317469 0.0097221965 0.010516977 0.012975251 0.013492783 0.008298986 0.008243536 0.007226956 0.009980963 0.010868159 0.005544979 0.008798033 0.010017929 0.0073378556 0.0069127404 0.007097573 0.010406077 0.0097776465 0.009592813 0.012513169 0.0115520395 0.0066354917 0.0097406795 0.006376726 0.007781454 0.007467238 0.007245439 0.0074857217 0.00532318 0.0052862135 0.006302793 0.011016025 0.0067463913 0.024379425 0.013585199 0.015341109 0.013806998 0.039110586 0.0114226565 0.014065764 0.008871966 0.021828733 0.0059885774 0.0097037135 0.01959226 0.01484206 0.02441639 0.021107886 0.011145408 0.0056743617 0.02332588 0.019481359 0.02842726 0.017762417 0.006801841 0.010831192 0.008354435 0.011016025 0.0077444874 0.0061364435 0.007855387 0.0075042048 0.006949707 0.006783358 6.419894 1.0 4.0 0.0 15.0 1519616.0 1548288.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2844930600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 1517056.0 512.0 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 -1517056.0 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 -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 -7.910951 0.0 4.2696285 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 -1516604.0 0.0 1452.0 0.0 0.0 0.0 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 79.0 1524708.0 1452.0 1531904.0 0.0 0.0 0.0 0.0 12.0 1540096.0 56.0 1524560.0 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: 0.060797963 0.004387842 0.0031707764 0.004291758 0.0033745912 0.0034037076 0.0031474833 0.0030281062 0.004478103 0.0040588267 0.0043499907 0.0031271018 0.0036628437 0.0036220807 0.002914552 0.0034532056 0.0036541088 0.0039685657 0.003255214 0.0029756965 0.0030601341 0.0032581256 0.0031241903 0.0035201733 0.0034357358 0.0034997917 0.004131618 0.0034706753 0.0039656544 0.0028621426 0.002873789 0.0029378452 0.0033512982 0.0032086277 0.0030251944 0.0037763976 0.0028388493 0.0034968802 0.003822984 0.0030426644 0.0034677638 0.0028388493 0.0044024005 0.004670271 0.004382019 0.003814249 0.0033978843 0.0038026024 0.003287242 0.0037705745 0.003150395 0.00409959 0.0030892505 0.0029261988 0.0034473822 0.0034648522 0.0033920612 0.003587141 0.0033658564 0.0043674605 0.0042713764 0.003409531 0.0028388493 0.0028708775 0.005456414 0.0040850313 0.0034299125 0.002996078 0.0053079207 0.011687324 0.003231921 0.0040297103 0.0036861368 0.003910333 0.003450294 0.0029669616 0.003555113 0.0049439655 0.004478103 0.0029582267 0.0056311125 0.0037763976 0.0044431635 0.003237744 0.0030513993 0.0036744901 0.0032406559 0.0034211776 0.0044635446 0.0033804146 0.00315913 0.0029815198 0.0028650542 0.0032930654 0.0039569195 0.0035725827 0.0036453737 0.0031271018 0.0034706753 0.003086339 0.004818765 0.0034182658 0.004000594 0.0029815198 0.0034240892 0.0042073205 0.005019668 0.0037443696 0.0036570204 0.003109632 0.0036570204 0.0032697723 0.0039161565 0.0036803135 0.0040064175 0.0035201733 0.004288846 0.0029815198 0.0037618394 0.0033658564 0.0031008972 0.0028592309 0.0034037076 0.0038899516 0.0037793093 0.0034677638 0.0028767008 0.003668667 0.0041665575 0.0045013963 0.004422782 0.0039656544 0.0035725827 0.003263949 0.0034240892 0.0039015983 0.0032610374 0.0039481847 0.0044431635 0.0065395446 0.0037705745 0.0036832253 0.0040122406 0.0028796124 0.0035987876 0.0036220807 0.0035289081 0.0031474833 0.00441987 0.0034240892 0.0034532056 0.0033483866 0.0037938675 0.002914552 0.0033745912 0.0034182658 0.0030251944 0.003805514 0.0041257944 0.003942361 0.0034910569 0.002996078 0.0028359378 0.0034240892 0.0029553152 0.002940757 0.0028446727 0.0033192702 0.004291758 0.0029669616 0.0042218785 0.0041519995 0.0035522014 0.0032290092 0.0032406559 0.0027980865 0.0035114384 0.0031562182 0.004181116 0.0037094299 0.002923287 0.0032086277 0.0038404537 0.003409531 0.0036948717 0.0038375421 0.0034852335 0.003546378 0.004009329 0.003287242 0.0031241903 0.002882524 0.0035289081 0.003595876 0.0033309166 0.0037356347 0.0029989898 0.0029174637 0.010324677 0.004250995 0.0034648522 0.003910333 0.0028708775 0.0038288073 0.006146473 0.002923287 0.0028941706 0.0030805157 0.0034386474 0.0040588267 0.0027165606 0.0032610374 0.0034182658 0.0045072194 0.0035522014 0.0029669616 0.003068869 0.0036628437 0.003895775 0.0033396515 0.0035289081 0.0034968802 0.0039540078 0.0033396515 0.0040675616 0.0028767008 0.0030164595 0.003951096 0.0034240892 0.0045887455 0.003092162 0.0035929643 0.004973082 0.0034939686 0.0028621426 0.003019371 0.0037356347 0.0030106362 0.0035114384 0.0037676627 0.0039656544 0.0045043076 0.005258423 0.0036744901 0.0037123417 0.003360033 0.0045858338 0.0038375421 0.004000594 0.0043703723 0.0034357358 0.0033338284 0.00502258 0.0035114384 0.0045625404 0.0066385404 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.052542865 0.051002 0.054409735 0.053345457 0.04925939 0.051173046 0.052648123 0.053570595 0.05345218 0.053928763 0.051111642 0.053732865 0.050418694 0.053662695 0.052009262 0.05804407 1701.0 7.3309817 12470.0 0.007618284 0.0061748195 0.0058540497 0.0054530874 0.00553328 0.006575782 0.01724138 0.0054530874 0.018203689 0.0054530874 0.005693665 0.0048115477 0.017722534 0.00521251 0.0063352045 0.016198877 0.0056134723 0.017161187 0.006094627 0.0202085 0.0051323175 0.005052125 0.0057738572 0.0061748195 0.005934242 0.018283881 0.0063352045 0.0057738572 0.0042502005 0.006094627 0.00521251 0.0048115477 0.0060144346 0.031355254 0.017481957 0.0061748195 0.070809945 0.0064955894 0.005934242 0.033921413 0.0057738572 0.032317564 0.0054530874 0.00489174 0.005934242 0.0075380914 0.031114675 0.0054530874 0.033279873 0.006575782 0.01756215 0.0064955894 0.0056134723 0.0049719326 0.0060144346 0.006736167 0.0319166 0.006415397 0.005372895 0.00521251 0.00489174 0.0049719326 0.005693665 0.008901363 0.0056134723 0.009061748 0.006094627 0.0073777065 0.02245389 0.015797915 0.018524459 0.008500401 0.0057738572 0.020930232 0.006415397 0.005372895 0.009222133 0.008821171 0.009623095 0.009222133 0.006094627 0.016840417 0.009141941 0.008901363 0.012028869 0.006415397 0.0051323175 0.00553328 0.0057738572 0.00553328 0.005693665 0.017000802 0.0051323175 0.0058540497 0.0058540497 0.00553328 6.178834 0.0 0.0 0.0 9.0 343449.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.14500889 0.013505568 0.009125036 0.0089576095 0.0123139825 0.0040512783 0.005885133 0.003640271 0.016649159 0.004373253 0.0023915702 0.0021810269 0.011111758 0.0017677797 0.0018484133 0.015725791 0.009338939 0.005091676 0.0022370224 0.0014295665 0.0062440643 0.0026625886 0.0012918175 0.0015516368 0.004703067 0.0009110477 0.0009132875 0.0009172072 0.0042528627 0.0009821621 0.0007234626 0.0009048882 0.004094395 0.00086009176 0.0007648993 0.00080185634 0.0036565098 0.00085897185 0.0007285022 0.00058179384 0.0021076726 0.00073690154 0.0006165111 0.0025332388 0.0014967612 0.00057171466 0.0005806739 0.00048044187 0.0024654844 0.0014805224 0.0012106239 0.0067396252 0.0022146243 0.0012979769 0.0011759066 0.0011053523 0.0021709476 0.004012082 0.0011747868 0.0062530236 0.0019962415 0.0014441254 0.001197745 0.0010947131 0.004521641 0.0030187205 0.00138701 0.0024862026 0.0022465417 0.020057049 0.0054926043 0.0026558691 0.003364213 0.0016709074 0.0009228068 0.0010986328 0.0015796346 0.008379175 0.009987367 0.00100736 0.009399414 0.0040479186 0.0015975533 0.0042903796 0.0014822023 0.0071125557 0.0060665584 0.004634192 0.0022711798 0.0012761387 0.0007285022 0.0023288552 0.0014486051 0.006023442 0.004210306 0.0026995458 0.0012621399 0.0016249911 0.00080297625 0.0007979367 0.0018752912 0.0029627248 0.0074115717 0.00075034046 0.0022711798 0.0017694596 0.0047792206 0.0004698027 0.0018747313 0.0021586288 0.0012985369 0.0014838822 0.0024783632 0.0007268223 0.0020707157 0.001840574 0.008636194 0.014912737 0.001990082 0.0008959289 0.0017952175 0.00084721274 0.0006904252 0.0008640114 0.0021082326 0.0056650704 0.0024610048 0.0011479089 0.0028826513 0.0028843312 0.0006921051 0.011921454 0.0040759165 0.012036805 0.0019928818 0.0008959289 0.0023618925 0.019552529 0.0019520051 0.04936904 0.001309736 0.011942732 0.0014284466 0.0006865055 0.021222876 0.0005644352 0.0004546839 0.00040092817 0.001045997 0.00079177716 0.0006478686 0.00037405032 0.00094576494 0.0010319981 0.000466443 0.0016188315 0.0011232708 0.0008718508 0.00062939007 0.00049836043 0.0011047923 0.0008225747 0.00043788526 0.00044908436 0.0010314381 0.0013562124 0.00043508547 0.00044012506 0.0011053523 0.00042052663 0.0005694748 0.00071618316 0.00093176606 0.0004513242 0.00041772684 0.0010527165 0.0013914895 0.00049332087 0.00039756845 0.0006501084 0.0010605558 0.0012123038 0.002206785 0.0021205517 0.0018876102 0.00063834933 0.0006377894 0.0007363416 0.0011294304 0.0008164152 0.0013220551 0.0014094082 0.009543883 0.0052395044 0.004882253 0.0023568529 0.0018159358 0.0028837712 0.002508041 0.0045166016 0.0028540934 0.0037136253 0.0015975533 0.0013265348 0.0015572364 0.0005078797 0.0025752357 0.0012811783 0.0027756998 0.0015023608 0.0019643242 0.0011518286 0.0013461332 0.00055155624 0.0011568682 0.0008718508 0.0054158904 0.009676032 0.0009625636 0.0035467586 0.002052237 0.0029072892 0.00083601364 0.0013175755 0.00365259 0.001689386 0.002318216 0.0005963527 0.0018568126 0.0005229985 0.0005509963 0.0006265903 0.012635957 0.0052215857 0.0007598597 0.005609075 0.006916571 0.00067250663 0.0013567724 0.00081249553 0.0040176813 0.0016692275 0.0009256065 0.0018691317 0.0038356956 0.0010179993 0.003679468 0.0020113604 0.006915451 0.0025276395 0.0018344144 0.002093114 0.0093311 0.0031850273 0.0046173935 0.055536393 0.03669085 0.0005798865 6.163045e-06 2.2411073e-06 4.762353e-06 1.6808305e-06 0.0 1.6808305e-06 5.602768e-07 2.5212457e-06 2.801384e-07 2.801384e-07 0.0 2.801384e-07 0.0 8.404152e-07 0.0023268296 0.001596789 2.5212457e-06 2.4091903e-05 2.9414534e-05 5.0424915e-06 1.9609688e-06 3.361661e-06 3.6417994e-06 1.4006921e-06 2.2411073e-06 4.4822145e-06 1.0084983e-05 2.5212457e-06 0.0 1.6808305e-06 0.006356901 3.7818685e-05 0.00011317592 2.6613148e-05 5.798865e-05 1.6528165e-05 5.4066713e-05 7.647779e-05 2.2411074e-05 1.6528165e-05 2.0450105e-05 1.8208997e-05 1.3446644e-05 1.8769273e-05 1.596789e-05 1.9329551e-05 0.0029585417 0.00045130297 6.331128e-05 2.7453565e-05 1.9609688e-05 2.4372042e-05 1.1485675e-05 7.2835987e-06 1.0365121e-05 5.0424915e-06 6.163045e-06 6.163045e-06 1.7368582e-05 6.163045e-06 3.6417994e-06 0.00039779654 0.004262866 7.1155155e-05 8.6842905e-05 3.4176886e-05 3.7538546e-05 7.647779e-05 5.5467404e-05 3.6698133e-05 4.930436e-05 1.9329551e-05 2.0730242e-05 7.955931e-05 2.7453565e-05 2.4091903e-05 3.0535088e-05 0.00025128416 0.0033084347 4.7903668e-05 3.7258407e-05 5.5747543e-05 4.23009e-05 0.00027173426 0.00010645259 2.9414534e-05 2.5492596e-05 4.9024224e-05 2.0169966e-05 2.0169966e-05 3.6978272e-05 0.0004521434 4.23009e-05 4.426187e-05 0.0034017207 3.5017303e-05 3.361661e-05 3.8098824e-05 8.0119586e-05 0.00024568138 0.00021850796 0.0001319452 0.00025996845 0.00016220014 0.00035185384 0.00037118339 8.320111e-05 6.947433e-05 9.328609e-05 0.00016135973 0.0070802183 0.00037090326 0.0001196191 0.00010701287 0.0012359706 0.00091633276 0.003807081 0.0018323853 0.00058072695 0.0002815391 7.535723e-05 3.8659102e-05 0.000111775225 0.00058885093 0.0004389769 0.0007737423 0.004393971 0.00048688057 0.00026921302 0.00011989924 0.00028462062 0.00044738105 0.00075497304 0.00039695614 0.00023895806 0.00022915321 5.5187265e-05 0.00020254008 0.00027733704 0.00021234491 7.591751e-05 0.00016051931 0.0047447043 0.00027313494 0.0003874314 0.0005289013 0.0006087408 0.00034653122 0.0017099648 0.0008227665 0.00022018878 0.00019553662 0.00013978907 0.00022887308 0.00035157372 0.00022271003 0.00020113938 0.0004924833 0.0061176624 0.00048295863 0.00023419572 0.00025408555 0.0005552343 0.00045858658 0.00058324815 0.00040423972 0.00039975753 0.00021430588 0.00033588597 0.00042721108 0.00046643044 0.0003560559 0.000252965 0.0005053697 0.006725283 0.0010297887 0.00085218105 0.007806337 0.0011760211 0.00094630755 0.0016001506 0.0011648155 0.0010513595 0.00082248636 0.00065748487 0.0007037077 0.0009603145 0.0011396031 0.00084433716 0.0012059959 0.013894585 0.0023492407 0.0013118882 0.0018388286 0.00228733 0.0019539655 0.0023682902 0.0016077143 0.0047010025 0.0013878057 0.00089672307 0.0013225335 0.0019041008 0.0017152874 0.0014766096 0.006029419 0.053931966 0.010062012 0.004733219 0.0076393746 0.017968358 0.015054358 0.0064504673 0.011757409 0.038105547 0.007334584 0.0023971444 0.0049396805 0.012461677 0.007283879 0.011279773 0.027269512 0.10016489 0.025597367 0.012655813 0.01795547 0.04466891 0.038206957 0.015148205 0.030234778 0.07949684 0.021319933 0.0062529696 0.00916837 0.03167777 0.025071267 0.03033899 0.06683206 0.0018298641 0.00069614395 0.0005709221 0.00059417356 0.0008533016 0.00067709456 0.00072051596 0.0006445985 0.0008902799 0.0006653287 0.00051573484 0.00058100704 0.000785228 0.00089084014 0.00072807976 0.0009788036 4561.0 12.123219 55294.0 0.02815857 0.0027127718 0.0024595796 0.002369154 0.005895757 0.005479799 0.0020797916 0.0017180888 0.005136181 0.003255326 0.0026585164 0.0035266033 0.004340435 0.0029297934 0.0030925598 0.0030202193 0.01184577 0.0153904585 0.009458531 0.010326617 0.010634066 0.008879806 0.009802149 0.009675552 0.011755344 0.015770247 0.00812023 0.01251492 0.009711723 0.009530871 0.0077766124 0.007234058 0.006510652 0.009784063 0.006619163 0.012948964 0.008391507 0.007993634 0.013328752 0.023185156 0.009639382 0.012623431 0.0030563895 0.0027851122 0.008481933 0.007107462 0.0053351177 0.0042319237 0.01560748 0.0052989474 0.007234058 0.01605961 0.0074149095 0.0048106485 0.0071617174 0.009675552 0.004376605 0.0021521323 0.0017723442 0.0038883062 0.0034904329 0.004864904 0.0050819255 0.0041053277 0.0032191558 0.033276666 0.00629363 0.011863855 0.029750064 0.05676927 0.012605346 0.01061598 0.013835136 0.038123485 0.005009585 0.00372554 0.023239411 0.014323435 0.025807502 0.025246862 0.024650052 0.002369154 0.030563895 0.018917061 0.05740225 0.019911744 0.005497884 0.0049915 0.0077766124 0.005118096 0.0028393678 0.002640431 0.0035085182 0.0034000073 0.0027127718 0.0017180888 6.0644073 0.0 0.0 0.0 3.0 1785856.0 1789952.0 1.0 609.0 332.0 1.0 1.0 0.0 0.0 0.0 1208281600.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 1568768.0 4096.0 4096.0 6.0 0.0 0.0 2.0 3.0 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 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 -1568768.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.678368 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5581894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5559897 0.0 0.0 0.0 0.0 0.0 2.7063575 0.0 0.0 -6.7147493 0.0 6.6912713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30852.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41708.0 0.0 0.0 0.0 0.0 0.0 3528.0 0.0 0.0 -1568106.0 0.0 72136.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 1.0 0.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 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 0.0 1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 1.0 4.0 0.0 3.0 -1.0 -6.0 0.0 -1.0 1.0 0.0 -4.0 3.0 0.0 -7.0 -4.0 -1.0 1.0 2.0 -3.0 4.0 0.0 2.0 -1.0 1.0 -2.0 1.0 0.0 1.0 1.0 1.0 -1.0 0.0 2.0 1.0 0.0 4.0 1.0 -2.0 1.0 0.0 0.0 2.0 2.0 -1.0 3.0 2.0 -2.0 0.0 8.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 2.0 2.0 3.0 -2.0 -1.0 2.0 -1.0 -1.0 1.0 -4.0 3.0 3.0 -1.0 0.0 -2.0 1.0 -2.0 0.0 -1.0 -2.0 -2.0 -4.0 1.0 1.0 3.0 -4.0 2.0 -1.0 -2.0 4.0 -1.0 1.0 -3.0 -1.0 -4.0 0.0 1.0 -2.0 2.0 2.0 4.0 -2.0 -3.0 3.0 -1.0 1.0 -2.0 1.0 1.0 1.0 -1.0 3.0 1.0 3.0 -4.0 4.0 -1.0 -2.0 -4.0 -1.0 1.0 -4.0 1.0 2.0 2.0 1.0 -1.0 20035.0 12984.0 120.0 1564876.0 72136.0 1622016.0 0.0 0.0 0.0 0.0 30852.0 1695744.0 56.0 1572068.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 640920.0 0.0 0.0 1348.0 4096.0 0.0 0.0 0.0 0.0