Input: 0.18589246 0.0025841622 0.0019060633 0.0015603456 0.0020927712 0.0010330494 0.0010997308 0.00092020386 0.0022363928 0.0007673495 0.00076837535 0.0007540132 0.0015993287 0.00076529774 0.0005693569 0.0026508437 0.0019327359 0.00052524457 0.00057038275 0.0006473229 0.0011007567 0.00073965103 0.0005826932 0.00046677009 0.00086891046 0.00057038275 0.00045138205 0.0005621758 0.00068117655 0.0005129342 0.00046471832 0.00066784024 0.0017573123 0.00041137318 0.00050164957 0.00053755497 0.0011028084 0.00046779594 0.0004103473 0.00044420097 0.0006052623 0.0004493303 0.00042470946 0.0009550834 0.0005590982 0.00058064144 0.0005334515 0.00045856312 0.001324396 0.0006893835 0.0006729696 0.0019265807 0.00078068575 0.0007211854 0.0007334958 0.00060423644 0.00097149727 0.0011058861 0.0006986163 0.0014269828 0.0008719881 0.0009161004 0.000825824 0.0009930405 0.0019573567 0.0021214955 0.004156818 0.0014762245 0.0020291675 0.0041301455 0.0038234112 0.0026816197 0.0028242155 0.0035238576 0.0034705123 0.0030416995 0.0022866605 0.0026221194 0.0021850995 0.0041239904 0.004507665 0.0031083808 0.0034315295 0.003342279 0.0019050374 0.0016660101 0.0013921033 0.0010433081 0.0007509356 0.0012731026 0.0005488395 0.00083505677 0.0006134692 0.0013274736 0.0010556185 0.00096636795 0.0008001773 0.33047014 0.000708875 0.0009797042 0.0012525852 0.0017942437 0.0011807744 0.0008206946 0.0014977677 0.002984251 0.0039772913 0.0030591392 0.0041845166 0.002913466 0.0017644934 0.0023533418 0.0015388024 0.0010371528 0.0021984358 0.0018034765 0.0035884874 0.0032191747 0.0011284552 0.0009550834 0.0011017825 0.0009468764 0.0007468321 0.0008319792 0.0010186873 0.002290764 0.002172789 0.0032263559 0.0038346958 0.0030550358 0.0024272043 0.005156014 0.0038387992 0.0062095807 0.003340227 0.002453877 0.0022066426 0.0038069973 0.0016557514 0.0075206403 0.0013377323 0.0027801031 0.0008699363 0.0018681062 0.003186347 0.0021594528 0.00068630587 0.00063501246 0.00076837535 0.0011571795 0.0006134692 0.0005396067 0.0007858151 0.00079094444 0.0006257797 0.00057140866 0.0006822024 0.0007724788 0.0006011588 0.00097354903 0.0016352341 0.0010966532 0.0005508913 0.00077145296 0.00078376336 0.00082479813 0.0007796599 0.0007519615 0.0009622645 0.000708875 0.0006750213 0.0011479466 0.00077863404 0.00060423644 0.0006719437 0.0007211854 0.00089660886 0.00070169393 0.0007499097 0.0008873761 0.0033699775 0.0042245258 0.00501547 0.00366235 0.005544818 0.004507665 0.0021317543 0.0007509356 0.0010946015 0.00087609154 0.00085044483 0.0010032991 0.0032058384 0.00217997 0.0019286324 0.0019276065 0.001892727 0.0026467403 0.004733356 0.0015859924 0.0012823354 0.0017491054 0.0005744863 0.0005149859 0.0029637334 0.0005078048 0.000576538 0.000654504 0.00077145296 0.0006893835 0.00074580626 0.00085249654 0.0008278757 0.00047292528 0.0006339866 0.00046677009 0.0009212297 0.0005796156 0.00049344264 0.00069143524 0.0010935756 0.0006206503 0.00052934804 0.00063193485 0.0011776969 0.005899769 0.003388443 0.000600133 0.0009386695 0.001425957 0.0005826932 0.000615521 0.003628496 0.0010330494 0.0006175727 0.0013479909 0.0014916125 0.0006288573 0.0011017825 0.0007776082 0.0016619066 0.018834941 0.0027934394 0.00088122085 0.0012700249 0.000576538 0.0014187759 0.0016649843 0.0014598105 0.0006370642 0.0005508913 0.0009602127 0.0013274736 0.0008750656 0.0015367507 0.07393125 0.019971218 1.5419408e-06 5.1398024e-07 1.0279605e-06 5.1398024e-07 0.0 0.23144017 5.807977e-05 2.4157072e-05 1.1821546e-05 1.1307566e-05 1.901727e-05 2.7240954e-05 3.597862e-06 6.1677633e-06 2.5699014e-06 0.0060032895 3.0838817e-06 2.055921e-06 2.5699014e-06 6.6817433e-06 6.1677633e-06 0.006065995 2.9296874e-05 3.546464e-05 3.752056e-05 1.1307566e-05 6.52755e-05 0.00010228207 3.854852e-05 9.0460526e-05 0.00013157894 0.005542763 4.111842e-06 2.055921e-06 1.0279605e-06 5.653783e-06 2.055921e-06 0.0021227384 1.4391448e-05 1.953125e-05 9.251645e-06 2.0559211e-05 6.167763e-05 9.354441e-05 2.9810855e-05 0.00011307566 0.00037880347 0.020386513 2.9810855e-05 6.1677633e-06 1.953125e-05 0.00010228207 1.6447368e-05 0.0052873148 2.9810855e-05 0.00015470806 2.6726973e-05 6.6817433e-06 0.0002626439 0.00017629523 0.00010536595 0.0010289885 0.002887027 0.009094367 5.1398027e-05 2.107319e-05 4.7800164e-05 0.00039113898 0.00020456414 0.019295847 0.00026983963 0.0004713199 0.00025133634 0.00025185032 0.00052785774 0.0005304276 0.00014031661 0.0006609786 0.0035793586 0.004113384 1.1821546e-05 8.737665e-06 2.8782895e-05 0.0005931332 0.0002893709 0.019517373 0.0002811472 0.0006794819 0.00035567433 0.0003536184 0.000677426 0.00062705594 0.00017937912 0.000703639 0.002106291 0.004512747 6.167763e-05 3.1352796e-05 6.013569e-05 0.0008573191 0.00028268914 0.019335937 0.00042763157 0.0008542352 0.00029091284 0.0005545847 0.00081106083 0.0007894737 0.0002760074 0.0008958676 0.0025899466 0.0101557365 9.251645e-05 0.00015830592 0.00011564556 0.0019608347 0.0006424753 0.01608604 0.0006794819 0.0015280633 0.0006100946 0.00027240955 0.0018827097 0.0005006168 0.00018040708 0.0005967311 0.0045379316 0.016091693 0.00016961349 0.00019222862 0.00038445723 0.0033048932 0.0009174548 0.015461041 0.0012335526 0.0032432154 0.000494449 0.00049804687 0.003128084 0.001172903 0.00043636924 0.0011800987 0.012091899 0.016249485 7.915296e-05 0.00029708058 0.0002477385 0.0029630961 0.0010341282 0.002056949 0.001250514 0.0028310034 0.00024362665 0.0003412829 0.0025364927 0.000703639 0.00016807155 0.00097039476 0.006974712 0.027946135 0.00020199425 0.0007267681 0.0005273438 0.0066020763 0.0019469572 0.0025200453 0.0029872532 0.0057442435 0.0005931332 0.00145662 0.004981497 0.001717722 0.0003880551 0.0025591077 0.013837891 0.020588508 0.00026418586 0.0003752056 0.002841797 0.009820107 0.0036554276 0.0069387336 0.0047070314 0.008116776 0.0018785979 0.0017634663 0.009148335 0.002188528 0.00040553042 0.001431949 0.019560033 0.013993626 0.00018297698 0.00024414062 0.00054122123 0.0058819903 0.0043888777 0.0059868423 0.0026218132 0.005286801 0.0038954564 0.0012042557 0.004272718 0.0047024055 0.0004322574 0.0024665913 0.0196875 0.015648128 0.0026649877 0.0014925987 0.0025431744 0.0049686474 0.005243113 0.002131476 0.004189453 0.010560753 0.00092105265 0.00076737255 0.0018056127 0.0061631375 0.0013193873 0.004118524 0.010199424 0.011292661 0.0022784744 0.001511102 0.0025904605 0.0038831208 0.0038692434 0.0020415296 0.0037371505 0.0076783514 0.0009354441 0.0008244243 0.0011759868 0.0042521586 0.001695621 0.0032704563 0.006858553 0.0053351154 0.0051608756 0.005031867 0.0051989104 0.0051151314 0.0052302633 0.005051912 0.0052256375 0.005138261 0.004974301 0.0050930306 0.0049275286 0.005178351 0.005180921 0.0051495684 0.0051135896 2364.0 144.17302 340825.0 0.0017457639 8.508765e-05 0.00017310937 0.00011736228 0.00036382308 0.00010856011 0.00012616445 0.00023765862 0.00024939486 0.00012029634 0.00010856011 0.00010856011 0.000205384 0.00038436148 0.00042543828 0.00029047165 0.0006895034 0.00044597668 0.0004225042 0.00046944912 0.00031687817 0.0003814274 0.0004430426 0.0003139441 0.000410768 0.00040489988 0.00041957016 0.000360889 0.00044891072 0.0003755593 0.0005075919 0.0004841194 0.0006630969 0.00048705348 0.00019364776 0.00039903176 0.00059267954 0.0002728673 0.00031101005 0.0003755593 0.00028460353 0.0003814274 0.00020244994 0.0001701753 0.000360889 0.00025819702 0.00032568033 0.0002112521 0.0008186019 0.0001907137 0.00023765862 0.00069243746 0.00030514193 0.00024059268 0.0004430426 0.0003960977 0.0003286144 0.0001643072 0.00015843908 0.00014670285 0.00025526297 0.00013496663 0.00015550503 0.0003960977 0.0003696912 0.943003 0.0007423164 0.0013614025 0.0011560185 0.0027580136 0.00048998755 0.0006865694 0.0009007555 0.0022738941 0.0012645785 0.0011178758 0.0023237732 0.0015286438 0.0019130053 0.004263185 0.00077459106 0.00015257097 0.0019306096 0.0017252256 0.002314971 0.00075405266 0.0005046578 0.00032568033 0.0003550209 0.00046944912 0.0001848456 0.00013203257 0.00021418616 0.0014142155 0.00014670285 0.00014963691 0.6539342 0.0 15.0 0.0 3.0 974784.0 991232.0 1.0 0.0 126.0 1.0 1.0 1.0 0.0 0.0 1449079900.0 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 123904.0 1024.0 4096.0 5.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -93184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -123904.0 0.0 718818.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8145967 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0010257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8985496 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.638986 0.0 3.5215526 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 25774.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15044.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -123787.0 0.0 718818.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 153836.0 718818.0 176128.0 0.0 0.0 5080.0 887784.0 6168.0 897024.0 28.0 131696.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 145880.0 0.0 0.0 524.0 131072.0 0.0 0.0 0.0 0.0


Input: 0.056665637 0.0082949065 0.006169414 0.005649688 0.005750113 0.004968454 0.0041930065 0.0054188143 0.005048173 0.005632088 0.0037447172 0.004461152 0.004954995 0.0031752966 0.0043296674 0.0046371548 0.005046102 0.0037612822 0.0049291123 0.0041536647 0.0043555503 0.0031742614 0.0041070757 0.003847213 0.00507095 0.0033461228 0.003156661 0.0029278575 0.004150559 0.003443442 0.0037861296 0.0037892356 0.0061683785 0.0038223655 0.003486925 0.0030241413 0.004881488 0.0041619474 0.0038358246 0.0037240111 0.0047282623 0.0038927668 0.0033326638 0.0030986837 0.004366939 0.0037084816 0.0037291877 0.0035956327 0.0055161333 0.0039517796 0.0031080015 0.0028936923 0.0036784576 0.0030779776 0.0026876656 0.0028512445 0.0041733356 0.0033109223 0.0035283375 0.0033471582 0.0039952626 0.0032291329 0.0035086665 0.003453795 0.0065918206 0.0039559207 0.0036194448 0.0032239563 0.0041578063 0.0032187798 0.003546973 0.0030665891 0.005005725 0.0037778472 0.0037084816 0.003580103 0.0041329586 0.0031318136 0.0035480084 0.0034641481 0.0051672338 0.0036339392 0.0036515393 0.0033357698 0.003923826 0.0033813233 0.0033595818 0.0035345494 0.0046485434 0.0036484334 0.0038058006 0.003513843 0.0041070757 0.0033947825 0.0036898458 0.0037892356 0.0059116217 0.0036308332 0.0033450876 0.0029516697 0.0040066508 0.0030552007 0.0032560509 0.0030324238 0.0049570655 0.0031711555 0.0032104973 0.003056236 0.0035842443 0.0028367501 0.003096613 0.0031887556 0.004508776 0.0032746864 0.003226027 0.0031421666 0.003890696 0.0033492288 0.0032891808 0.0036318684 0.0046226606 0.003293322 0.0034786426 0.003176332 0.0040356396 0.0031991089 0.003473466 0.0033409463 0.0086407 0.0045957426 0.0040149335 0.00353662 0.0043855743 0.0034320536 0.0030210353 0.0033978883 0.0045356946 0.0038296129 0.0029537403 0.003196003 0.0037291877 0.0027974085 0.0028512445 0.0029879054 0.0052407407 0.0032011794 0.0034910664 0.0030324238 0.0036598218 0.003186685 0.0033119577 0.0032643334 0.004545012 0.0028408915 0.0030417417 0.0027104423 0.003516949 0.0032312034 0.0029910114 0.003153555 0.0050067604 0.0034092767 0.003276757 0.002796373 0.0037819885 0.0030272473 0.0030676243 0.0031949675 0.0041350294 0.0029982587 0.0031287076 0.0030127529 0.0036360098 0.002846068 0.0029123279 0.0030427768 0.004668214 0.0031173192 0.0038482484 0.0028584916 0.003566644 0.003146308 0.0029972233 0.003126637 0.0042551253 0.0031514845 0.0033316286 0.0031721906 0.0036546453 0.003183579 0.0033264519 0.0033616526 0.006709846 0.0040594516 0.0037198698 0.0033357698 0.0041112173 0.0032519097 0.0033047104 0.0032322388 0.004336915 0.0033285227 0.0031183546 0.0030810835 0.0036453276 0.0029910114 0.0030748716 0.0027984437 0.0042592664 0.003276757 0.0030914366 0.0030023998 0.0037146932 0.0030106823 0.0029319988 0.0029423519 0.0039786976 0.003110072 0.0027321838 0.0026379707 0.0035314434 0.002946493 0.0035728558 0.0028843745 0.004948783 0.0032384505 0.0033937471 0.0029765172 0.0038120125 0.0030717656 0.003200144 0.0029050808 0.004438375 0.005451944 0.0034724306 0.003139061 0.003790271 0.0030634832 0.0032405213 0.003179438 0.004607131 0.0033129929 0.003433089 0.0030407063 0.0037447172 0.003083154 0.003309887 0.0032405213 0.004345197 0.0030303532 0.003189791 0.002862633 0.0040128627 0.0031007542 0.0042168186 0.004513953 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 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 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 0.09914805 0.062010683 0.06243106 0.055313144 0.060609594 0.059573423 0.054955486 0.054501414 0.06049245 0.053195704 0.05217456 0.05297437 0.05642292 0.05054229 0.056627147 0.05382601 4024.0 5.704274 22954.0 0.017164765 0.010455694 0.009322993 0.008625948 0.013505272 0.012503267 0.01171909 0.011501264 0.0126339635 0.009715082 0.008495252 0.008582382 0.013853795 0.010499259 0.011849786 0.009932909 0.016859807 0.011893352 0.008669513 0.0074932473 0.009802213 0.008538817 0.007841771 0.00832099 0.010237867 0.008495252 0.0095408205 0.0088002095 0.011501264 0.008974471 0.009671517 0.009235863 0.018123202 0.010891348 0.010412129 0.009148732 0.010847783 0.008974471 0.0107170865 0.008277425 0.014202317 0.011588395 0.0097586475 0.008974471 0.011414133 0.009366559 0.011631959 0.009584386 0.0147686675 0.009627951 0.009932909 0.009061601 0.012111179 0.009410124 0.009584386 0.009802213 0.013723099 0.009192297 0.010542825 0.009584386 0.011109175 0.009802213 0.010455694 0.010673521 0.017948942 0.010978479 0.009671517 0.008146728 0.013113183 0.008277425 0.009366559 0.00832099 0.015422149 0.009279428 0.00888734 0.008713079 0.011414133 0.008016032 0.009932909 0.007841771 0.013156748 0.008016032 0.008669513 0.0088002095 0.011457698 0.009410124 0.008146728 0.007928901 0.0109349135 0.008930906 0.011849786 0.008625948 0.011283437 0.009148732 0.010063605 0.008713079 6.554496 0.0 0.0 0.0 14.0 965894.0 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: 0.21021084 0.021865379 0.006775352 0.0074517215 0.012897658 0.0043614144 0.0065187984 0.0024839072 0.010798582 0.0026938147 0.002285661 0.0019474764 0.006087322 0.0041864915 0.0018308611 0.0051077525 0.022495102 0.0011894766 0.0007463383 0.0019358149 0.0033235375 0.006052337 0.0016792611 0.0015743073 0.0031019684 0.0015159997 0.0012711074 0.0013527381 0.0019707994 0.0019941225 0.001002892 0.0013410766 0.010390428 0.0013527381 0.0029503684 0.00080464594 0.0042564604 0.0042564604 0.0006996921 0.0012711074 0.0028570762 0.0007813229 0.0011078459 0.0023206456 0.0020407687 0.0018425226 0.003043661 0.0017025842 0.009958952 0.004244799 0.0039999066 0.006577106 0.0020990765 0.0023206456 0.0018891688 0.0019008303 0.0023556303 0.0023206456 0.004571322 0.0036967068 0.002460584 0.0042214757 0.0015043381 0.0019008303 0.0029970147 0.0026238456 0.0014926766 0.0037783375 0.0036267375 0.007708275 0.004093199 0.0027521225 0.0027754456 0.0016092919 0.0012477844 0.00079298444 0.0038483068 0.0047462448 0.0012711074 0.0013993842 0.009574121 0.003615076 0.0013993842 0.005504245 0.002763784 0.0048861834 0.005096091 0.0045246757 0.0016675995 0.0022040303 0.0010611997 0.0024489225 0.0013410766 0.0042564604 0.0037433528 0.004314768 0.0011078459 0.0063671987 0.001329415 0.004198153 0.004816214 0.0113466745 0.0038832913 0.004454707 0.007988152 0.0075916597 0.006448829 0.000979569 0.00562086 0.0033935069 0.0059357216 0.007311783 0.0041864915 0.00076966133 0.0075216903 0.00592406 0.013958858 0.010343782 0.0018658456 0.002087415 0.0022623378 0.002157384 0.0009212613 0.0006647075 0.0019241534 0.0013877228 0.0013177536 0.00087461516 0.00265883 0.0019124919 0.0018775072 0.010996828 0.0018775072 0.0082796905 0.0038949528 0.0010611997 0.0011195074 0.008559567 0.0006996921 0.025888609 0.0014343689 0.008046459 0.0007346767 0.00089793827 0.0012711074 0.000501446 0.0006297229 0.0009212613 0.0007463383 0.000501446 0.0005131076 0.00044313836 0.0008862767 0.00045479988 0.0005364306 0.00037316914 0.0005830768 0.0006180614 0.0005947383 0.0004664614 0.0013643997 0.0018775072 0.0005131076 0.0012711074 0.0007230152 0.00060639984 0.0006180614 0.0005597537 0.00087461516 0.0005364306 0.00045479988 0.00043147683 0.000653046 0.00045479988 0.0005131076 0.0006180614 0.0011661536 0.0005830768 0.0004897845 0.00064138445 0.0012011381 0.0008862767 0.0011894766 0.0014693534 0.002740461 0.0010378767 0.0009445844 0.0010845228 0.0012244612 0.00080464594 0.0012361228 0.0009212613 0.0065654446 0.0019241534 0.0029037225 0.0036034144 0.0047462448 0.0012477844 0.0016675995 0.0052710143 0.0025422147 0.0015276611 0.0007230152 0.0005597537 0.02164381 0.0010961844 0.0012827689 0.00095624593 0.0046063066 0.0031486147 0.0015043381 0.0009912305 0.0016675995 0.0005947383 0.00089793827 0.0009912305 0.0015976303 0.0006996921 0.0005597537 0.0010961844 0.0015509842 0.00095624593 0.0008512921 0.00052476913 0.0015976303 0.0005480922 0.0006647075 0.00045479988 0.0015393227 0.00281043 0.00057141524 0.0005947383 0.010740275 0.0022273534 0.0007230152 0.0025771994 0.0049095065 0.00044313836 0.0006297229 0.0005830768 0.002763784 0.001632615 0.0006880306 0.0009445844 0.002460584 0.0005131076 0.0013993842 0.0021807072 0.0031952607 0.0015393227 0.00076966133 0.0007463383 0.003918276 0.00311363 0.0021690456 0.036325682 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007931593 0.0010897008 0.00023223132 7.741044e-05 0.00016077554 6.5501146e-05 0.00010122904 0.00010718369 0.00010718369 0.00019054877 5.9546495e-05 0.00030368712 4.1682546e-05 0.00017268483 3.5727895e-05 0.0015184355 0.066781394 0.0018935786 0.0058891485 0.0033703316 0.0071098516 0.0033703316 0.02184761 0.009390482 0.00026200459 0.00022032202 0.00016673018 0.00046446265 0.00016673018 0.00038109755 0.00022032202 0.00041682547 0.03383432 0.0018638052 0.004281393 0.0025485898 0.003959842 0.003888386 0.012046256 0.0075683594 0.00025009527 0.00032155108 0.00016077554 0.00053591846 0.00010718369 0.0003155964 0.00011909299 0.0013695693 0.013415825 0.0019828982 0.0008574695 0.0022210842 0.0020245807 0.0014410252 0.0077410443 0.0038586129 0.00028582316 0.00025009527 0.0002560499 0.0003989615 0.00027391387 0.00039300686 0.00026795923 0.000917016 0.015744094 0.0024175877 0.0012683403 0.011278106 0.0014350705 0.0018102134 0.0011790206 0.0011611567 0.0017744856 0.0008574695 0.0008217416 0.0009944264 0.0034001048 0.0010361089 0.0014469798 0.0021555831 0.018209318 0.002477134 0.0022032203 0.008104278 0.0023044492 0.0029475514 0.002411633 0.0030428257 0.005466368 0.0007324219 0.0008098323 0.0008872428 0.005740282 0.0012147485 0.0015898914 0.0028344132 0.09782893 0.02207984 0.010414681 0.010462319 0.01655988 0.02633146 0.01485685 0.017066024 0.04920327 0.0025009527 0.0034358327 0.007776772 0.033661634 0.010277725 0.018102134 0.037490472 0.05128144 0.018119998 0.015065263 0.016381241 0.01256431 0.017881813 0.02079959 0.015327267 0.022681259 0.0041503906 0.005472323 0.005722418 0.015083127 0.00799114 0.009670351 0.01790563 0.0019769436 0.0006728754 0.0009289253 0.0012445217 0.0006192835 0.0006609661 0.0016018007 0.0008812881 0.00070264866 0.000458508 0.000458508 0.00035727897 0.0004704173 0.0003751429 0.00035132433 0.0004346894 543.0 15.732965 8543.0 0.033828866 0.001053494 0.0015217137 0.0009364392 0.007257404 0.002224043 0.0015217137 0.0032775372 0.003394592 0.0029263725 0.0009364392 0.0012876039 0.0031604823 0.011354325 0.020484608 0.013344258 0.03722346 0.019314058 0.019431112 0.009949666 0.0062039094 0.009481447 0.0074915136 0.0057356902 0.008193843 0.008662063 0.009715556 0.006789184 0.008545008 0.010417886 0.0055015804 0.0055015804 0.006672129 0.008193843 0.0015217137 0.012056654 0.004682196 0.0043310313 0.0060868547 0.0076085683 0.0029263725 0.0052674706 0.0008193843 0.001170549 0.007023294 0.0038628117 0.002106988 0.0026922626 0.0060868547 0.003628702 0.0025752077 0.017792344 0.010769051 0.0017558235 0.0065550744 0.005852745 0.003511647 0.0018728784 0.004799251 0.0015217137 0.0026922626 0.0012876039 0.002224043 0.012524874 0.0008193843 0.034062974 0.006906239 0.030785438 0.01627063 0.057239845 0.006672129 0.018494673 0.013344258 0.043076202 0.0028093175 0.0039798664 0.02727379 0.022591595 0.03722346 0.0334777 0.017324125 0.0015217137 0.039564557 0.032073043 0.052908815 0.010417886 0.0077256234 0.009949666 0.0060868547 0.010651995 0.0030434274 0.0005852745 0.0014046588 0.0005852745 0.0008193843 0.001170549 5.8363214 0.0 33.0 0.0 2.0 85752.0 94208.0 1.0 1.0 118.0 1.0 1.0 1.0 0.0 0.0 1541151000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 45568.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46080.0 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 -6.6926875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.68018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.277229 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.094893 0.0 4.364443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45165.0 0.0 1304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 69712.0 240.0 69788.0 1304.0 86016.0 0.0 0.0 13048.0 72704.0 3120.0 90112.0 112.0 65952.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 66064.0 0.0 0.0 516.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.52711344 0.01047029 0.004110584 0.003590213 0.004608255 0.0023626254 0.0024970837 0.0019994134 0.0041070916 0.0020221141 0.0046554026 0.0012031404 0.0027258378 0.0040372433 0.0010337578 0.0016746178 0.0041367775 0.0026193187 0.00094819337 0.0012153639 0.0012834661 0.0024062807 0.00065308344 0.0010459813 0.0011105911 0.00073690165 0.0010983676 0.0009848638 0.0011280533 0.0009254926 0.00069499254 0.0004924319 0.022829982 0.00066356076 0.0028620423 0.0006024433 0.001840508 0.0013428373 0.00070896227 0.0007718259 0.002736315 0.0017881215 0.0006303827 0.0012694965 0.0015104738 0.00086088275 0.00348544 0.0007840494 0.003880084 0.0022037202 0.0011385306 0.0021687958 0.0013445836 0.0010547123 0.0012625116 0.0011123373 0.0015960382 0.0012520343 0.0024429513 0.0011891706 0.0011193221 0.0022456292 0.0008119888 0.00066705316 0.008242123 0.0018946405 0.0010983676 0.0026909134 0.002580902 0.0044249026 0.0020046518 0.0014353866 0.0015628602 0.002589633 0.0004906857 0.0009813714 0.001791614 0.0017392276 0.0023329398 0.0018038375 0.0037578493 0.0012590191 0.0048003383 0.0036198983 0.002654243 0.0018859095 0.0021024398 0.0023381785 0.0009691479 0.0011682161 0.0010477275 0.0008800911 0.0029598302 0.0010774131 0.0011053525 0.0035867204 0.0006932464 0.0067299027 0.0017235117 0.005332933 0.008870759 0.014924878 0.0038730993 0.0021984815 0.0041804328 0.008189737 0.0039464403 0.0014999965 0.0055058077 0.0036460916 0.007131532 0.009207779 0.0058620353 0.000895807 0.010957483 0.011301487 0.01550462 0.005406274 0.0015331745 0.002261345 0.002006398 0.0021006935 0.0006024433 0.00048370086 0.0027415536 0.0016903337 0.0006233979 0.0007176933 0.0022543604 0.0006967388 0.00096041686 0.0036460916 0.00085215166 0.0026909134 0.0006059357 0.0002951099 0.0007596024 0.0023521483 0.0003492425 0.0055843876 0.00053783343 0.0022334058 0.0003213031 0.0008434206 0.0019749664 0.00039639024 0.0004644925 0.00034575007 0.00050989405 0.0003492425 0.0005186251 0.00042607583 0.0004348069 0.00041385237 0.00032828795 0.00024446973 0.000616413 0.00039115158 0.00031431825 0.0004644925 0.00069150014 0.00066356076 0.000394644 0.00059196603 0.00047322357 0.00074563274 0.00027240915 0.00037194326 0.00041210614 0.00025494702 0.00027415535 0.00059545843 0.00064609863 0.0002514546 0.00039639024 0.00042607583 0.0007159471 0.0005360872 0.00027240915 0.0004208372 0.0005570418 0.00053434103 0.00028637884 0.0004627463 0.0013079131 0.00030209476 0.00040162887 0.0004068675 0.0005657728 0.00046973117 0.00043829932 0.00057101145 0.0022211822 0.0005151327 0.0011070987 0.00090279186 0.0005867274 0.0003771819 0.00063387514 0.00093946233 0.0004906857 0.0007840494 0.00032654172 0.00022351519 0.0018841632 0.000452269 0.00040337507 0.00023923111 0.0006810229 0.0005291024 0.0004627463 0.00025494702 0.00038765918 0.00045925388 0.0006268903 0.0005186251 0.0006041895 0.0004348069 0.00026542429 0.00058148877 0.0004924319 0.00030034853 0.00024097732 0.00035971976 0.00066705316 0.00016414397 0.0002933637 0.00038940538 0.00064959103 0.0003090796 0.00031606446 0.00025494702 0.0023399247 0.000731663 0.0007875418 0.002243883 0.0011856783 0.0004644925 0.00034749627 0.00042956826 0.00093073124 0.00043655312 0.0003527349 0.0009237464 0.0004348069 0.00029161747 0.0007543638 0.0007718259 0.00077881076 0.001463326 0.00031606446 0.00048020843 0.001208379 0.00062165165 0.000780557 0.014619291 0.2830745 4.3752802e-06 1.6626063e-05 1.1375728e-05 5.250336e-06 1.22507845e-05 2.625168e-06 1.750112e-06 1.750112e-06 7.000448e-06 0.0 4.3752802e-06 0.0 3.500224e-06 2.625168e-06 6.1253922e-06 0.015418487 5.075325e-05 9.4506046e-05 4.637797e-05 4.7253023e-05 4.9878192e-05 0.00014788446 9.100582e-05 1.0500672e-05 3.6752353e-05 1.1375728e-05 2.0126288e-05 1.4875952e-05 2.18764e-05 2.9751904e-05 3.7627407e-05 0.019855896 0.00011550739 0.0001452593 0.00010325661 0.00016188536 0.00014788446 0.00011988267 0.00012775818 7.175459e-05 7.350471e-05 6.56292e-05 8.663054e-05 0.0001015065 7.700493e-05 0.00012425795 0.00012775818 0.012830071 0.00014000897 0.00010675683 9.8881326e-05 0.00016626064 0.00018201164 0.00020213793 0.00012075773 4.2877746e-05 0.00014700941 2.8876848e-05 2.2751456e-05 4.9003138e-05 8.9255715e-05 5.9503807e-05 5.075325e-05 0.007124706 6.56292e-05 7.700493e-05 6.125392e-05 0.0004672799 0.00037452398 0.0004777806 0.00025376625 4.3752802e-06 7.875504e-06 8.7505605e-06 6.1253922e-06 9.625616e-06 5.250336e-06 5.250336e-06 1.1375728e-05 0.02327649 0.00029314376 0.00046202957 0.00024764086 0.0020843835 0.0014814698 0.000875056 0.00053028396 0.00020038782 6.0378865e-05 8.138021e-05 6.125392e-05 0.00014788446 7.175459e-05 0.00015926019 0.00043315272 0.007548233 7.0004484e-05 0.00043577788 0.0002467658 0.00031589522 0.00020038782 0.0010876947 0.00060378865 2.0126288e-05 2.9751904e-05 1.312584e-05 1.6626063e-05 7.875504e-06 1.22507845e-05 1.8376177e-05 0.00012600806 0.012314663 0.00036752352 0.0003298961 0.00017326108 0.0006177895 0.0005644111 0.00096781197 0.0009275594 0.00023101478 0.0001688858 0.00014875951 0.00015926019 0.00011550739 0.00021351366 0.0003106449 0.0003106449 0.03380079 0.0009984389 0.019639757 0.0026050417 0.0025236616 0.0035501022 0.024761459 0.016625188 0.00069304433 0.0002983941 0.00023976534 0.00025901658 0.00037189882 0.00022576445 0.00023013973 0.0007044201 0.043065008 0.0025035352 0.0063065286 0.0015899767 0.0057001146 0.0072095864 0.023332493 0.018028779 0.0015488492 0.00020038782 0.00021263861 0.00018026153 0.00011025705 0.00015663503 0.00065366685 0.000312395 0.040067066 0.002859683 0.005889127 0.0033847166 0.0068674395 0.0047891815 0.01616666 0.010993329 0.0022095165 0.0013694627 0.0008496794 0.0011349476 0.0012635809 0.001110446 0.0008199275 0.002375777 0.044346962 0.0043315273 0.003922001 0.006605798 0.006752807 0.0034590964 0.007840502 0.0050149458 0.002954189 0.0031274501 0.0020983843 0.0023871528 0.0022121416 0.0020222545 0.002437906 0.0026374187 0.004886313 0.00051715807 0.0009721872 0.0008575549 0.000656292 0.0005434098 0.0015610999 0.0013090838 0.000656292 0.00027564264 0.00022138917 0.00027914287 0.00029139366 0.00021438872 0.00029314376 0.00080242637 0.014405172 0.0035711036 0.0026514197 0.0039657536 0.004948442 0.0064640385 0.0035352262 0.004209894 0.008082017 0.0009406852 0.0014202159 0.0016836077 0.0038484964 0.0013187093 0.003000567 0.009431354 0.015801761 0.005277463 0.0031344506 0.00476293 0.0060195103 0.0059110033 0.005672988 0.005253836 0.00804964 0.0012723315 0.0018691196 0.0017938648 0.003376841 0.0015182222 0.0032937108 0.0076374887 0.0007796749 0.00034652217 0.00043315272 0.00056966144 0.0002511411 0.0002782678 0.0006545419 0.000515408 0.00025989165 0.00019513749 0.00020913838 0.00016801075 0.0001907622 0.00015488491 0.00015751008 0.00021263861 4752.0 22.525253 107040.0 0.11373319 0.00076606876 0.013163303 0.0009248879 0.0007193572 0.0026718983 0.0004764574 0.00042040358 0.008211884 0.0067638266 0.00039237668 0.0012331839 0.0051569506 0.0022421526 0.014695441 0.002662556 0.010734305 0.0046244394 0.0030736174 0.0028494021 0.003437967 0.0013266068 0.0024383408 0.0018778027 0.001887145 0.0019618834 0.010407324 0.0010743648 0.0020272795 0.007735426 0.0020553065 0.0013359492 0.0033445442 0.0076606874 0.002905456 0.010071002 0.0062313154 0.012705531 0.0049047084 0.005175635 0.003465994 0.011238789 0.00028026907 0.003494021 0.002970852 0.0041292976 0.00860426 0.006810538 0.0059510465 0.00056053814 0.00953849 0.010257848 0.009594544 0.0019992527 0.0033912556 0.004633782 0.0020459641 0.00056053814 0.00065396115 0.0020553065 0.011453662 0.0019899104 0.00036434978 0.014676756 0.0005044843 0.031754483 0.007277653 0.024224589 0.02771861 0.07230942 0.015526906 0.00848281 0.013406203 0.038667787 0.0031483558 0.0050635277 0.023430493 0.014723468 0.03266069 0.043357622 0.025177503 0.001980568 0.049738415 0.049934603 0.05284006 0.016806802 0.004988789 0.009389013 0.0072215996 0.007866219 0.0013452915 0.0013266068 0.0005138266 0.00129858 0.00031763827 0.00019618834 5.459868 221.0 27.0 0.0 9.0 572668.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 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 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 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 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 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 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.11575119 0.0074859224 0.0072322697 0.0045657465 0.0066139917 0.004112343 0.008164443 0.0031801695 0.008830281 0.0030565138 0.0034369926 0.0019880023 0.0059925425 0.0032974838 0.0019341011 0.0049937856 0.006211318 0.0023082385 0.002387505 0.0016963017 0.005320363 0.005583528 0.0022416548 0.0026031097 0.0042359983 0.0030533432 0.0025872565 0.0028979809 0.0034655286 0.003284801 0.0023304333 0.002546038 0.009375634 0.0026728644 0.0014204546 0.0024921368 0.004017223 0.0022923853 0.0016424005 0.0018643466 0.0027109121 0.0017406909 0.0017280083 0.0027362774 0.0025872565 0.0014141132 0.0016170354 0.0014014306 0.004064783 0.00347187 0.0023114092 0.0047528157 0.0031167562 0.0025428673 0.002358969 0.0020355622 0.0045276987 0.0042772167 0.0031738281 0.0055106026 0.004118684 0.002473113 0.0025238434 0.0020989752 0.0038935675 0.006747159 0.0030660257 0.0077522574 0.003110415 0.005561333 0.0027267653 0.0020038555 0.0037318638 0.0022828733 0.0015345982 0.0019499543 0.0023431159 0.0036335734 0.002175071 0.0020292208 0.0065600905 0.003119927 0.0026601816 0.00626839 0.0024287237 0.0034908939 0.0046196477 0.0033735796 0.0029487114 0.0035162591 0.0017819095 0.002165559 0.0026696937 0.003684304 0.0025682326 0.0023272627 0.0025523792 0.0038999086 0.0015663048 0.0026506695 0.003804789 0.0064110695 0.0029106636 0.0017977628 0.0049398844 0.0038713727 0.0053710938 0.0017375203 0.0049969563 0.0033196784 0.003988687 0.0038618608 0.0037699118 0.0013475295 0.004933543 0.003795277 0.0099907415 0.009147347 0.0023336038 0.0016487419 0.0027077415 0.0019182478 0.0014426492 0.0020038555 0.0031548042 0.00274896 0.0021782417 0.001813616 0.003988687 0.0026443284 0.0019404424 0.006886668 0.0030850498 0.007682503 0.0012048498 0.0014806971 0.0043184357 0.008009081 0.0022575082 0.015495003 0.0030660257 0.008300781 0.0011985085 0.0012428977 0.0027204242 0.0033608968 0.0019119064 0.0025301846 0.0020894632 0.0033640675 0.0013728947 0.0014014306 0.0031516335 0.002111658 0.0016582538 0.0041408786 0.0029296875 0.003379921 0.0017977628 0.0019277597 0.0026316456 0.0018706879 0.001119242 0.0013919186 0.0019911728 0.0011382661 0.000906808 0.0012999696 0.0026126218 0.0015853287 0.0017977628 0.0011826552 0.0018389813 0.0015314276 0.0014553318 0.0017153256 0.0021623883 0.0017375203 0.0012999696 0.0012555803 0.0024414062 0.0019689782 0.0018643466 0.0017723975 0.0034211394 0.004036247 0.0015536222 0.0017089844 0.002565062 0.001924589 0.0020228794 0.0016487419 0.0067059407 0.0030121247 0.0022797028 0.0034369926 0.0031516335 0.0011097301 0.002397017 0.0035701604 0.0035194298 0.0024096996 0.0019023945 0.0019594664 0.003896738 0.0013538707 0.0021972656 0.00163923 0.005814986 0.0041440492 0.003313337 0.0021243405 0.0025238434 0.001490209 0.0033608968 0.002831397 0.0034782114 0.0022448255 0.0023748225 0.0030057833 0.0022162895 0.0013158228 0.007102273 0.0021148284 0.003636744 0.0021592178 0.0017723975 0.003506747 0.0039855163 0.0018706879 0.0056691356 0.0034084567 0.010092203 0.0069913 0.0013538707 0.004476968 0.004813058 0.0015980114 0.00506354 0.0033957742 0.007939327 0.005776938 0.0013443588 0.00274896 0.002517502 0.0013919186 0.0028852983 0.003722352 0.0045625763 0.002137023 0.0018358107 0.0022416548 0.008072494 0.013472124 0.006626674 0.04302899 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0056939637 2.7038375e-05 2.0676405e-05 2.2266897e-05 7.952463e-06 1.1133448e-05 1.2723941e-05 1.4314434e-05 8.74771e-05 0.00011769646 1.5904927e-05 2.385739e-05 1.749542e-05 1.749542e-05 3.1809854e-05 0.00039285168 0.005636706 0.00011769646 0.00017654468 0.00010020104 0.00018926863 7.952463e-05 8.74771e-05 0.00011292498 5.884823e-05 0.00019244962 4.4533794e-05 0.000114515475 6.680069e-05 3.3400345e-05 0.00017177321 0.0025893222 0.003335263 9.224858e-05 9.224858e-05 2.7038375e-05 0.00013519188 3.1809854e-05 8.906759e-05 7.3162664e-05 1.2723941e-05 0.00018290666 3.1809854e-05 0.00019085912 8.5886604e-05 1.2723941e-05 0.0047842017 0.0038521732 0.008819282 0.00019404011 0.00019085912 6.680069e-05 0.00046124286 0.00031491756 0.00016700174 0.00012564892 0.00015427779 0.00045169992 5.0895764e-05 0.000106563006 0.00019881158 7.3162664e-05 0.002266452 0.0026449894 0.017048491 0.00028946967 0.0018926862 0.00025288833 0.0007029978 0.0005025957 0.004373855 0.0019006387 0.00032287 0.00010020104 8.906759e-05 0.00020358305 0.00010338202 0.00015745878 0.0023523387 0.0022807664 0.0053488268 0.00016382075 0.0009702005 0.0001510968 0.00085250405 0.00041829958 0.0031746235 0.0015682258 0.0001081535 0.00020517355 0.00018608764 0.0003212795 0.00029742214 0.0020549165 0.00072844565 0.0029948978 0.0107867215 0.00031173657 0.0014616628 0.0007029978 0.0015857212 0.00086681853 0.006848661 0.0039142026 0.00085250405 0.00037376577 0.00035308936 0.0006091587 0.0009049903 0.00087795197 0.0031189562 0.0022616806 0.01062131 0.00056621537 0.0015586828 0.0004103471 0.0010099629 0.0009049903 0.0046378765 0.0024573111 0.0020962693 0.0032446051 0.0024668542 0.004820783 0.0040144036 0.0035404367 0.007621641 0.008660233 0.011284545 0.0012962515 0.0017988472 0.010781949 0.0018242951 0.0013216994 0.0030998702 0.0026752087 0.0023396148 0.0022775854 0.002395282 0.00316349 0.0023809676 0.0023777864 0.0031793949 0.0031778044 0.010255497 0.0011562882 0.0014059956 0.0023332527 0.0018211141 0.001501425 0.0031110037 0.002595684 0.0036788096 0.0018211141 0.0017209131 0.0023682436 0.0022680426 0.0042132153 0.003831497 0.008035169 0.02627971 0.0049639274 0.004448608 0.007314676 0.009307563 0.007871348 0.004723763 0.009304382 0.017476333 0.0027770002 0.002069231 0.0035881514 0.008055845 0.004816012 0.0071572172 0.019911379 0.0472599 0.010570414 0.0072526466 0.0106197195 0.017482696 0.019020703 0.00752144 0.012485367 0.030457934 0.004625153 0.004542447 0.0043563596 0.012984782 0.011949372 0.011055514 0.035372555 0.027529838 0.03306157 0.020445783 0.020647775 0.01917339 0.021382583 0.019846167 0.017756261 0.015287816 0.023466129 0.012060706 0.0134969205 0.013188365 0.019380154 0.017603572 0.018376552 1830.0 11.672678 21361.0 0.054632273 0.0033238144 0.0031833716 0.0029493002 0.0042601 0.002106643 0.003230186 0.005711343 0.004213286 0.003089743 0.0035578858 0.0039324 0.005430457 0.0043069143 0.0044941716 0.0031365573 0.009550115 0.006554 0.009128786 0.008379757 0.0088947145 0.0066008144 0.008988343 0.008005243 0.011329058 0.007958429 0.0088947145 0.008426572 0.010018257 0.005945415 0.008426572 0.0067880717 0.005430457 0.0108141005 0.0049155 0.008239315 0.0095033 0.0049155 0.005524086 0.007583915 0.0062731146 0.008379757 0.0036983287 0.0039324 0.0063667432 0.0054772715 0.006039043 0.005196386 0.015916858 0.0051495717 0.0070689577 0.032114603 0.008098871 0.0049623144 0.009456486 0.009128786 0.0058986004 0.003417443 0.0038387715 0.0033238144 0.0044473573 0.003089743 0.0031833716 0.0046346146 0.0064135576 0.033612657 0.008801086 0.021909086 0.020925988 0.055989888 0.009269229 0.009877815 0.014559244 0.03515753 0.006834886 0.0042601 0.0278545 0.01352933 0.031693272 0.033893544 0.015916858 0.0035578858 0.034548946 0.027573615 0.0468611 0.015495529 0.007583915 0.0051495717 0.006554 0.008988343 0.004072843 0.0029493002 0.0047750575 0.0033706287 0.003277 0.003277 6.0357027 0.0 0.0 0.0 7.0 315392.0 335872.0 0.0 0.0 189.0 1.0 1.0 0.0 1.0 0.0 1472054800.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 112128.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -93696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -112128.0 0.0 52224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.485758 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.787741 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7532735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5769234 0.0 5.810698 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -15486.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39756.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -101312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -111719.0 0.0 51944.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 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 -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 -1.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 153864.0 51944.0 266240.0 0.0 0.0 0.0 0.0 8032.0 319488.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 148376.0 64.0 148304.0 0.0 0.0 820.0 118784.0 0.0 0.0 0.0 0.0


Input: 0.99671304 4.744979e-05 2.0130214e-05 1.0065107e-05 4.3136173e-05 1.725447e-05 2.1568087e-05 1.725447e-05 3.594681e-05 2.444383e-05 1.5816597e-05 5.7514894e-06 4.16983e-05 1.0065107e-05 1.725447e-05 2.7319576e-05 4.744979e-05 7.189362e-06 1.1502979e-05 4.3136174e-06 2.3005958e-05 4.4574044e-05 1.2940852e-05 1.0065107e-05 1.0065107e-05 1.4378724e-06 4.3136174e-06 8.627235e-06 2.0130214e-05 2.8757447e-06 1.4378724e-06 4.3136174e-06 3.450894e-05 4.3136174e-06 4.3136174e-06 4.3136174e-06 7.189362e-05 1.4378724e-06 0.0 1.4378724e-06 1.0065107e-05 0.0 2.8757447e-06 0.0 1.1502979e-05 1.4378724e-06 1.4378724e-05 1.4378724e-06 5.7514894e-06 1.4378724e-06 1.4378724e-06 3.594681e-05 7.189362e-06 1.4378724e-06 5.7514894e-06 2.8757447e-06 1.0065107e-05 5.7514894e-06 0.0 2.0130214e-05 7.189362e-06 1.4378724e-06 1.4378724e-06 0.0 8.914809e-05 1.2940852e-05 2.8757447e-06 5.7514894e-06 3.3071065e-05 3.019532e-05 8.627235e-06 1.5816597e-05 5.7514894e-06 0.0 2.8757447e-06 0.0 1.2940852e-05 5.7514894e-06 1.4378724e-06 4.3136174e-06 5.0325536e-05 4.3136174e-06 2.8757447e-06 3.019532e-05 4.3136174e-06 1.1502979e-05 2.8757448e-05 2.3005958e-05 4.3136174e-06 2.444383e-05 1.4378724e-06 7.189362e-06 4.3136174e-06 2.8757447e-06 1.869234e-05 1.0065107e-05 7.189362e-06 8.627235e-06 2.8757447e-06 7.189362e-06 4.3136174e-06 7.189362e-06 5.7514894e-06 2.8757447e-06 4.3136173e-05 4.3136174e-06 2.7319576e-05 0.0 1.4378724e-06 2.8757447e-06 5.7514894e-06 7.189362e-06 2.8757447e-06 1.4378724e-06 1.4378724e-05 8.627235e-06 5.6077024e-05 4.6011915e-05 7.189362e-06 1.5816597e-05 5.7514894e-06 1.4378724e-06 0.0 4.3136174e-06 2.0130214e-05 1.2940852e-05 4.3136174e-06 5.7514894e-06 2.444383e-05 1.869234e-05 2.8757447e-06 7.3331496e-05 2.8757448e-05 4.888766e-05 1.4378724e-06 0.0 8.627235e-06 4.744979e-05 2.8757447e-06 0.00011934341 1.2940852e-05 8.483447e-05 0.0 0.0 5.7514894e-06 1.4378724e-06 2.8757447e-06 1.4378724e-06 7.189362e-06 0.0 1.4378724e-06 2.8757447e-06 2.5881704e-05 0.0 2.8757447e-06 0.0 2.8757447e-06 4.3136174e-06 0.0 1.4378724e-06 4.3136174e-06 8.627235e-06 0.0 0.0 0.0 0.0 4.3136174e-06 0.0 5.7514894e-06 0.0 0.0 2.8757447e-06 5.7514894e-06 1.4378724e-06 0.0 0.0 5.7514894e-06 4.3136174e-06 0.0 2.8757447e-06 7.189362e-06 1.1502979e-05 1.4378724e-06 4.3136174e-06 2.8757447e-06 1.4378724e-06 2.8757447e-06 1.4378724e-06 2.8757447e-06 4.3136174e-06 2.8757447e-06 1.4378724e-06 6.614213e-05 1.4378724e-06 4.3136174e-06 2.8757448e-05 1.1502979e-05 8.627235e-06 2.0130214e-05 1.2940852e-05 5.7514894e-06 1.0065107e-05 4.3136174e-06 7.189362e-06 5.7514894e-06 8.627235e-06 5.7514894e-06 4.3136174e-06 4.4574044e-05 3.8822556e-05 1.4378724e-06 0.0 0.0 2.8757447e-06 4.3136174e-06 1.4378724e-06 1.1502979e-05 0.0 0.0 1.2940852e-05 1.4378724e-06 0.0 0.0 1.4378724e-06 1.0065107e-05 0.0 0.0 2.8757447e-06 1.2940852e-05 2.8757447e-06 1.4378724e-06 2.8757447e-06 0.00011934341 7.189362e-06 0.0 3.738468e-05 3.8822556e-05 1.4378724e-06 2.8757447e-06 1.4378724e-06 4.0260427e-05 7.189362e-06 4.3136174e-06 5.7514894e-06 1.5816597e-05 1.4378724e-06 8.627235e-06 1.1502979e-05 3.019532e-05 4.3136174e-06 4.3136174e-06 4.3136174e-06 1.4378724e-05 3.738468e-05 1.725447e-05 0.00024012469 0.9941003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013316107 5.7614307e-06 7.2017883e-07 5.7614307e-06 5.041252e-06 1.08026825e-05 5.041252e-06 3.6008942e-06 1.8004472e-05 2.8807153e-06 2.8807153e-06 6.4816095e-06 7.921967e-06 7.921967e-06 1.1522861e-05 4.897216e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007482658 5.473359e-05 3.9609837e-05 2.9527333e-05 5.7614307e-05 6.2655556e-05 2.7366796e-05 3.888966e-05 0.0001260313 8.642146e-06 8.642146e-06 1.224304e-05 4.321073e-05 2.5926438e-05 6.12152e-05 0.00013035237 0.0007331421 5.2573054e-05 4.2490552e-05 2.448608e-05 5.8334484e-05 5.1852876e-05 4.1770374e-05 6.481609e-05 0.00011162772 2.1605365e-05 7.921967e-06 1.6564114e-05 5.9774844e-05 3.4568584e-05 5.9774844e-05 9.3623246e-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 0.00031111727 8.930218e-05 6.409592e-05 4.7531805e-05 9.6503965e-05 9.5783784e-05 3.6008943e-05 8.570128e-05 0.00021317294 1.2963219e-05 1.0082504e-05 1.51237555e-05 9.0742535e-05 3.3848406e-05 0.00010370575 0.00016924202 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.714286 75.0 0.10666667 0.013333334 0.0 0.0 0.013333334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026666667 0.0 0.0 0.0 0.026666667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013333334 0.0 0.0 0.0 0.013333334 0.013333334 0.0 0.0 0.0 0.0 0.026666667 0.0 0.0 0.0 0.0 0.0 0.0 0.013333334 0.08 0.013333334 0.04 0.04 0.053333335 0.0 0.013333334 0.013333334 0.026666667 0.0 0.0 0.013333334 0.026666667 0.053333335 0.053333335 0.013333334 0.0 0.093333334 0.026666667 0.06666667 0.013333334 0.0 0.0 0.013333334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4716125 0.0 0.0 0.0 1.0 695472.0 696320.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1535965600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 48128.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48128.0 0.0 611840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.52369344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5378.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10850.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47810.0 0.0 611496.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 61572.0 611496.0 73728.0 0.0 0.0 14000.0 681472.0 2544.0 688128.0 28.0 53744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 436.0 53248.0 0.0 0.0 0.0 0.0