Input: 0.28605893 0.013850595 0.006052904 0.0057513355 0.006246769 0.00738842 0.006979149 0.0027571945 0.0064837155 0.002520248 0.002627951 0.0023694641 0.0013785972 0.0054282267 0.0020248147 0.007302257 0.0064837155 0.0016370843 0.0010985697 0.0020894364 0.002261761 0.004846631 0.0016801654 0.0016155437 0.0042219544 0.0024987075 0.00092624506 0.0010985697 0.00092624506 0.0021755989 0.0012062726 0.002735654 0.00926245 0.0015293814 0.0016586249 0.0009908668 0.010124073 0.0019386524 0.0011416508 0.0020032742 0.0034464933 0.0008400827 0.0014216785 0.002627951 0.0010985697 0.0022833017 0.0038988455 0.0023048422 0.010210237 0.0038557642 0.0029295192 0.00407117 0.0017232466 0.0011847321 0.0011416508 0.0011631914 0.004523522 0.001292435 0.0014216785 0.0026710322 0.0014001379 0.0010124074 0.0010124074 0.0033172497 0.012299673 0.007539204 0.0016801654 0.0033818714 0.004114251 0.0045019817 0.0016801654 0.0017447872 0.04547217 0.0063544717 0.0008400827 0.0010554886 0.0069576083 0.0030587628 0.0015293814 0.0010770292 0.0036618991 0.0011631914 0.0017663278 0.004114251 0.0033387903 0.0045666033 0.003769602 0.0020678958 0.0022402206 0.0006462175 0.0017663278 0.001443219 0.0027141133 0.0010985697 0.0010554886 0.0032741686 0.0018740307 0.0075607444 0.0018524901 0.006095985 0.004588144 0.011050318 0.005363605 0.0023479236 0.0023048422 0.007302257 0.0005815957 0.0010985697 0.0062036877 0.0034464933 0.00665604 0.008185421 0.0047173877 0.0011201103 0.009585559 0.005988282 0.014173703 0.005040496 0.0022833017 0.0032095467 0.003511115 0.0030587628 0.0012062726 0.0007539204 0.0015509219 0.00081854215 0.0006246769 0.0021540583 0.0042650355 0.0021109772 0.0018740307 0.009542478 0.0016801654 0.0032095467 0.0021109772 0.0006892986 0.0013785972 0.008853179 0.0011631914 0.0207005 0.00081854215 0.010317939 0.0013355161 0.0013139755 0.0041357917 0.00081854215 0.0010339479 0.0007323798 0.00051697396 0.00045235222 0.00038773048 0.00040927107 0.0011201103 0.00056005514 0.00032310875 0.00040927107 0.00051697396 0.00040927107 0.00028002757 0.00030156816 0.0013139755 0.0004738928 0.00077546097 0.0010339479 0.0008831639 0.0003661899 0.00056005514 0.0004738928 0.0006246769 0.0005385146 0.0003661899 0.00019386524 0.00077546097 0.00038773048 0.0003661899 0.00066775805 0.0011631914 0.00040927107 0.0008831639 0.0006246769 0.0009693262 0.0003661899 0.0008400827 0.0008400827 0.0016155437 0.0011416508 0.0009477856 0.00038773048 0.00071083923 0.00051697396 0.00040927107 0.0004738928 0.0055574705 0.0018524901 0.0018955712 0.0044589005 0.0033603308 0.0005385146 0.0021755989 0.0026925728 0.0023910047 0.0017878683 0.0008831639 0.0012062726 0.018675685 0.0005385146 0.0012493538 0.0010124074 0.0013570567 0.00092624506 0.0011631914 0.0008831639 0.0006031363 0.00056005514 0.00056005514 0.00081854215 0.0013355161 0.0014001379 0.0004738928 0.0008400827 0.00040927107 0.0004738928 0.00056005514 0.00071083923 0.0017232466 0.00066775805 0.00045235222 0.00056005514 0.0005815957 0.0004954334 0.0007323798 0.0006462175 0.006612959 0.0019386524 0.0010770292 0.0018955712 0.0030156816 0.00066775805 0.00043081166 0.00045235222 0.0015724625 0.0007970015 0.00071083923 0.001292435 0.00081854215 0.0004738928 0.0007970015 0.0014001379 0.003511115 0.0011201103 0.0021325178 0.00051697396 0.0004954334 0.0007539204 0.0013785972 0.020549716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018232865 0.00037730823 0.00082120026 0.00018865411 0.00032182175 0.00022194603 0.0006547408 0.0008322976 0.00018865411 6.658381e-05 7.768111e-05 6.658381e-05 0.00027743253 0.000110973015 4.4389206e-05 0.00024414062 0.016923385 0.00017755682 0.00046608664 0.000110973015 0.00022194603 0.00029962714 0.0012983843 0.0011874113 0.00028852982 0.00018865411 0.00017755682 0.00012207031 4.4389206e-05 3.3291904e-05 0.00012207031 0.0010653409 0.028908469 0.00014426491 0.0013538707 0.0010986328 0.0012761896 0.0009321733 0.0071799536 0.003950639 0.000110973015 6.658381e-05 5.5486507e-05 6.658381e-05 0.00012207031 6.658381e-05 3.3291904e-05 8.877841e-05 0.058371805 0.0013205789 0.0030406604 0.001986417 0.0023859197 0.0029296875 0.0072354404 0.0055930396 0.0018643466 0.0010875355 0.00081010297 0.00068803265 0.0007213246 0.0005215732 0.00069912995 0.0016534979 0.09093129 0.0052157314 0.0055930396 0.005937056 0.006647283 0.0053599966 0.012062767 0.009432706 0.004461115 0.0017977628 0.0017533735 0.0014093573 0.0023859197 0.001032049 0.0014537465 0.0036177202 0.030406605 0.0018976385 0.0026411577 0.004239169 0.010054155 0.0068026455 0.018144088 0.009721235 0.0018310547 0.00068803265 0.00041060013 0.00075461646 0.001032049 0.00031072443 0.0006658381 0.0013094816 0.008278587 9.987571e-05 0.00027743253 0.0014426492 0.003717596 0.0016313032 0.0035955256 0.0020086116 0.0007768111 0.00047718396 8.877841e-05 5.5486507e-05 5.5486507e-05 5.5486507e-05 8.877841e-05 7.768111e-05 0.014260032 0.0016867898 0.0013316761 0.0008433949 0.006203391 0.001475941 0.0017089844 0.0011097301 0.0051713423 0.0008988814 0.00026633524 0.00029962714 0.0054376777 0.00044389206 0.0016202059 0.0026966443 0.07708185 0.019042969 0.021850586 0.014426491 0.069691055 0.013505415 0.009299538 0.015802557 0.05225719 0.003917347 0.0024636008 0.004705256 0.037342418 0.0073131216 0.013916016 0.023748225 0.021428889 0.0074240942 0.0087890625 0.011985085 0.0048384233 0.0058038887 0.014936968 0.009865501 0.0055819424 0.0029962712 0.00320712 0.0033069958 0.003318093 0.0030850498 0.0031738281 0.0038951526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 334.0 20.077845 6706.0 0.02415747 0.00044736057 0.00074560096 0.00014912018 0.012526096 0.0016403222 0.00089472113 0.0022368028 0.0020876827 0.00044736057 0.00089472113 0.0011929615 0.0014912019 0.009096332 0.019683866 0.011184014 0.021771548 0.013868177 0.010885774 0.004622726 0.0025350433 0.0035788845 0.0026841634 0.00074560096 0.010140173 0.0019385625 0.0044736057 0.0011929615 0.0017894423 0.0014912019 0.0014912019 0.012824336 0.04920966 0.029227557 0.0016403222 0.011631375 0.0040262453 0.010438413 0.0034297644 0.0041753654 0.010140173 0.006263048 0.0013420817 0.00074560096 0.0041753654 0.0010438414 0.003131524 0.0014912019 0.0059648077 0.0029824039 0.0037280049 0.01521026 0.009394572 0.0032806443 0.017297942 0.0049209665 0.006263048 0.00014912018 0.00820161 0.0013420817 0.005368327 0.0017894423 0.0034297644 0.01521026 0.00014912018 0.043990456 0.006113928 0.032359082 0.02296451 0.060393676 0.005517447 0.010587534 0.008350731 0.03936773 0.0013420817 0.0037280049 0.027885476 0.018341783 0.037727408 0.041604534 0.017297942 0.00044736057 0.042201012 0.030718759 0.0635252 0.012824336 0.010438413 0.0058156876 0.008350731 0.012526096 0.002385923 0.00044736057 0.00059648074 0.0 0.0 0.00044736057 5.629008 0.0 19.0 0.0 2.0 46424.0 57344.0 1.0 6.0 85.0 1.0 1.0 1.0 1.0 0.0 1541444700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 19456.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13312.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19456.0 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 -4.3638563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.682736 0.0 0.0 0.0 0.0 4.3488693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1545962 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.176571 0.0 4.174497 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13106.0 0.0 0.0 0.0 0.0 1584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19232.0 0.0 1336.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 33376.0 180.0 33764.0 1336.0 49152.0 1584.0 45056.0 7000.0 39424.0 128.0 53248.0 112.0 28576.0 0.0 0.0 0.0 0.0 40.0 28944.0 256.0 28688.0 0.0 0.0 744.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.007852745 0.0039574625 0.003904915 0.003929901 0.0039113043 0.0038674355 0.0038817406 0.00389719 0.003932953 0.0038638115 0.00392313 0.0038707734 0.0039140703 0.003887558 0.0038653375 0.0038990974 0.0038831711 0.0038671494 0.003868103 0.0038794517 0.0038764954 0.0038676262 0.003831482 0.0038600923 0.0038808822 0.003878498 0.003848362 0.0038712502 0.003892803 0.0038529397 0.003856659 0.0038482666 0.0038966178 0.0038638115 0.0038708686 0.0038698197 0.003875923 0.0038618087 0.0038796426 0.0038562776 0.0038338662 0.0038868904 0.0038798333 0.003861046 0.003933811 0.0038647652 0.0038900375 0.003866768 0.003913975 0.0038590431 0.0038928986 0.003877449 0.0038867951 0.003863716 0.0038877488 0.0039069178 0.0038571358 0.0038864135 0.0038360595 0.0039216997 0.00392704 0.0038567544 0.0038539886 0.0038806915 0.0039182664 0.003904915 0.003911686 0.0038834573 0.003866005 0.0039063455 0.003917885 0.0038597106 0.0038790703 0.0038808822 0.003865242 0.0038768768 0.0039042472 0.0038889884 0.003894806 0.0038707734 0.003915882 0.0038658143 0.0038372993 0.0039251326 0.0038697242 0.0038989068 0.0038897514 0.003892231 0.0038733482 0.003878498 0.0038590431 0.0038715363 0.003850174 0.003882122 0.0038624764 0.0038892746 0.0038471222 0.0038965226 0.0038453103 0.0038683892 0.0038773536 0.003918362 0.0038481713 0.0038388253 0.0038993836 0.0038885116 0.0038966178 0.0038916587 0.0038990974 0.0039023398 0.0038671494 0.0039099692 0.0038204193 0.003862381 0.0039031983 0.0038613318 0.0039456366 0.0039319037 0.0038629533 0.0038852692 0.0039229393 0.0038729669 0.0038218498 0.003895855 0.0038624764 0.003901291 0.0038953782 0.0038560866 0.0038834573 0.0038559914 0.0039046288 0.0038817406 0.0038908958 0.0038537025 0.003873825 0.003860283 0.0038769722 0.0038923263 0.003890419 0.0039242744 0.0039023398 0.0038715363 0.0038671494 0.0038862228 0.0038456917 0.0038552284 0.003883934 0.003826332 0.0038924217 0.0038621903 0.0038791657 0.0038780211 0.0038668632 0.003889942 0.0038775443 0.003871441 0.0039132116 0.003849411 0.0038399696 0.0038629533 0.003892231 0.0038977624 0.0038568496 0.0038751601 0.003858757 0.0038754463 0.0038527488 0.0038858415 0.003883648 0.0038693429 0.003862381 0.0038659095 0.0039040565 0.0038211823 0.0038368225 0.0038664818 0.0038822175 0.0038578988 0.003850174 0.003857994 0.0038852692 0.003863144 0.0038817406 0.003863716 0.0038967133 0.003873825 0.0038330078 0.003826046 0.0038833618 0.0038444519 0.0038728714 0.0038546561 0.0038743974 0.0038443566 0.0038752556 0.0038240433 0.0038762093 0.0038877488 0.003882885 0.0038851737 0.003907299 0.0038480759 0.003827095 0.0038674355 0.0038559914 0.0038421631 0.0038889884 0.0038666725 0.0038748742 0.0038487434 0.0038642883 0.003869438 0.0038747787 0.0038578033 0.003892994 0.0038393973 0.0038654327 0.0038373948 0.0038793564 0.003876686 0.0038420677 0.0038978576 0.0038852692 0.0038734437 0.0038596154 0.0038734437 0.003866768 0.003881359 0.003881073 0.0038541793 0.0038617135 0.003873539 0.0039129257 0.0038764 0.003846073 0.0038686753 0.003878689 0.0038686753 0.0038894652 0.0038407326 0.0038734437 0.0038429261 0.0038752556 0.0038254738 0.0038571358 0.0038034439 0.003869438 0.003832054 0.0038646697 0.0038402558 0.0038310052 0.0038333894 0.0038754463 0.003878212 0.003848362 0.008030891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8208934e-05 5.722605e-07 4.7688374e-08 4.768837e-07 4.7688374e-08 0.0 0.0 3.81507e-07 3.338186e-07 0.0 0.0 0.0 2.3844186e-07 0.0 4.2919535e-07 1.6929373e-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 0.00015212591 7.153256e-07 9.537674e-07 7.153256e-07 4.768837e-07 9.108479e-06 3.4812513e-06 1.2398976e-06 1.9075349e-06 4.768837e-07 4.768837e-07 3.81507e-07 5.245721e-07 7.63014e-07 5.722605e-07 2.141208e-05 0.00037106322 4.482707e-06 7.677828e-06 3.0997442e-05 2.6514736e-05 1.4974149e-05 5.8656697e-06 4.339642e-06 5.3410977e-06 7.153256e-07 4.864214e-06 2.432107e-06 2.2413535e-06 1.4306512e-06 3.958135e-06 0.00029442803 0.0009121355 1.5689475e-05 5.4364744e-05 0.0001485016 4.9166712e-05 1.7358569e-05 1.7406255e-05 4.339642e-05 3.36203e-05 1.5403344e-05 1.2065158e-05 1.0109935e-05 1.0396066e-05 1.2780484e-05 8.250088e-06 0.0010810001 0.0008325913 2.2508912e-05 2.4654888e-05 5.889514e-05 8.94157e-05 7.6301396e-05 2.5847097e-05 3.0663625e-05 4.6210032e-05 1.4783395e-05 6.0135037e-05 2.0982885e-05 1.2875861e-05 1.0396066e-05 1.1492898e-05 0.0010062247 0.00080850866 2.7897699e-05 4.5590084e-05 4.9595907e-05 7.7588986e-05 0.00011144773 0.00019514082 9.232469e-05 4.043974e-05 2.9185285e-05 4.7306865e-05 2.9519102e-05 2.1221325e-05 1.4592642e-05 9.156168e-06 0.0007444632 0.0005680162 2.7182372e-05 3.0091363e-05 3.457407e-05 6.2567146e-05 5.884745e-05 0.00011101853 0.00012403745 5.713067e-05 3.872296e-05 4.1488885e-05 3.2094275e-05 2.3319615e-05 2.2175094e-05 1.3209679e-05 0.0006111742 0.00025127004 1.8884595e-05 1.8550778e-05 2.3081173e-05 2.8660712e-05 3.1712767e-05 3.1235882e-05 3.748306e-05 3.0043675e-05 1.9552233e-05 1.8598465e-05 2.083982e-05 1.6547865e-05 1.7453944e-05 1.2828173e-05 0.0003022489 3.9104467e-05 1.2875861e-06 1.7167814e-06 1.526028e-06 8.822349e-06 1.526028e-06 3.0043675e-06 3.958135e-06 1.1302144e-05 1.526028e-06 1.3352744e-06 2.289042e-06 5.8656697e-06 2.6228606e-06 3.3381862e-06 8.440842e-06 0.00020653835 3.5289395e-05 1.7501632e-05 3.3858745e-05 6.585765e-05 5.3458665e-05 2.8756089e-05 5.326791e-05 7.444155e-05 8.154711e-06 1.201747e-05 8.4885305e-06 3.314342e-05 1.6595553e-05 4.7306865e-05 8.664977e-05 0.00034793437 7.5824515e-05 5.484163e-05 7.754129e-05 0.00012503892 0.00010620201 6.123187e-05 0.000110398585 0.00012217762 2.0267558e-05 2.169821e-05 2.1888964e-05 6.72406e-05 3.0663625e-05 7.386929e-05 0.00014816778 0.06175692 0.06163503 0.06173808 0.061651863 0.061696786 0.061582617 0.06161271 0.061601885 0.061696116 0.061748143 0.061687153 0.061680667 0.061663356 0.061751675 0.06175096 0.061463494 48051.0 5.6636076 272142.0 0.010553314 0.009921291 0.010601083 0.010362238 0.010160137 0.010207906 0.010446752 0.010189533 0.010119717 0.010237303 0.010465125 0.010505545 0.010270374 0.010277723 0.010270374 0.0105680125 0.010446752 0.010395308 0.00996906 0.01059006 0.0104504265 0.010288746 0.010266699 0.010428379 0.010079297 0.010443077 0.010248327 0.010329166 0.009840451 0.0100499 0.010229954 0.010656201 0.010369587 0.010637829 0.009987433 0.010435728 0.01029977 0.010417355 0.010505545 0.010703971 0.010277723 0.010244652 0.010443077 0.010277723 0.01038061 0.0097632855 0.010766438 0.010457776 0.010744391 0.010075622 0.009987433 0.010545965 0.010127066 0.010207906 0.010145439 0.010729693 0.010362238 0.010461451 0.010200557 0.0104504265 0.0102226045 0.010255676 0.010285072 0.010615782 0.010571687 0.010733367 0.010343865 0.010759089 0.01054229 0.011512373 0.010274048 0.010483498 0.010424704 0.01128455 0.01059006 0.010571687 0.011181663 0.010817882 0.011019982 0.011008958 0.0102189295 0.010152788 0.010979562 0.011016307 0.010979562 0.010384285 0.009913942 0.01021158 0.01066355 0.010240977 0.009888221 0.010387959 0.010402657 0.010303444 0.0104688 0.010413681 6.5843396 3.0 1.0 0.0 145.0 10485760.0 294912.0 0.0 0.0 159.0 0.0 1.0 0.0 0.0 0.0 1481493000.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24576.0 1024.0 4096.0 5.0 1.0 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 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 107520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3057513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.211929 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.488776 0.0 3.737416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4678.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24153.0 0.0 107096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 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 -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 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 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 -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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 29736.0 107096.0 184320.0 0.0 0.0 6072.0 14808104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.36506388 0.0226934 0.021965934 0.01307665 0.019446416 0.007558552 0.016234918 0.0049325763 0.007860185 0.0039034777 0.009953868 0.0036550746 0.0027856636 0.0043293117 0.003992193 0.0023420865 0.0045244857 0.0063520228 0.00725692 0.004169624 0.0054826117 0.002430802 0.0034244144 0.0023775727 0.0032114976 0.0016501065 0.0011710433 0.0016146203 0.0019339958 0.0020581973 0.0016678495 0.00092264015 0.008552165 0.0013129879 0.001774308 0.00074520934 0.0009048971 0.0016323634 0.00065649394 0.0005500355 0.0065117106 0.0010290986 0.0034421575 0.0018275373 0.0018097942 0.0020581973 0.0045777145 0.0018097942 0.0079489 0.0034953868 0.0020581973 0.0012597587 0.0009758694 0.001100071 0.0011710433 0.0007984386 0.0012952449 0.00092264015 0.0010113555 0.0005322924 0.00056777854 0.00092264015 0.0010290986 0.0006387509 0.0011178141 0.010841022 0.0015081618 0.005926189 0.015312279 0.0038502484 0.0034776437 0.0076827537 0.002413059 0.01002484 0.0005145493 0.0008694109 0.0018452803 0.0029985805 0.008977999 0.0016855926 0.008977999 0.0009758694 0.0037437899 0.0045422283 0.003530873 0.002608233 0.0018452803 0.0013129879 0.0073988643 0.00083392474 0.0007274663 0.00031937545 0.0013484741 0.0005500355 0.00030163236 0.002661462 0.001100071 0.010237757 0.004364798 0.0074520935 0.0047906316 0.022072392 0.0030695528 0.0042583393 0.002679205 0.012473386 0.0014904187 0.0012952449 0.0071859476 0.005890703 0.00938609 0.012544358 0.005092264 0.00065649394 0.013910575 0.009811923 0.01538325 0.0047551454 0.002200142 0.0015081618 0.0015968772 0.0032647268 0.0010823279 0.004879347 0.00095812633 0.0036550746 0.0010468417 0.00083392474 0.003122782 0.0014017033 0.0021646558 0.0014194464 0.0007806955 0.0003548616 0.0027856636 0.00046132007 0.0003548616 0.0006210078 0.00028388927 0.00056777854 0.0006919801 0.0005500355 0.0004968062 0.00074520934 0.0005145493 0.0007806955 0.00037260467 0.00083392474 0.0005322924 0.00039034776 0.0003548616 0.0005145493 0.0012065294 0.0005145493 0.0003548616 0.00039034776 0.00058552163 0.00056777854 0.00042583392 0.00037260467 0.00092264015 0.0006032647 0.0006387509 0.00065649394 0.0005500355 0.0005500355 0.00031937545 0.0005500355 0.0005322924 0.0007097232 0.00037260467 0.00033711852 0.00056777854 0.00033711852 0.00047906316 0.0007097232 0.00047906316 0.00030163236 0.00083392474 0.000443577 0.00033711852 0.00074520934 0.0007984386 0.00047906316 0.00040809085 0.00031937545 0.000443577 0.00030163236 0.00037260467 0.00047906316 0.00019517388 0.0005145493 0.00067423703 0.00039034776 0.00033711852 0.0007097232 0.0007097232 0.00042583392 0.0014904187 0.00046132007 0.0004968062 0.00037260467 0.00039034776 0.0005500355 0.0006210078 0.00046132007 0.0003548616 0.001330731 0.00040809085 0.00046132007 0.00039034776 0.0003548616 0.00033711852 0.00047906316 0.0014904187 0.00037260467 0.00030163236 0.00067423703 0.00046132007 0.0003548616 0.0007097232 0.00031937545 0.0007274663 0.00031937545 0.0006210078 0.0003548616 0.0002484031 0.000443577 0.000443577 0.00040809085 0.0003548616 0.00023066004 0.00019517388 0.0003548616 0.00019517388 0.00031937545 0.00037260467 0.00030163236 0.00031937545 0.00039034776 0.00040809085 0.00040809085 0.0003548616 0.000443577 0.0005500355 0.00037260467 0.00023066004 0.0006387509 0.00030163236 0.00046132007 0.00039034776 0.00033711852 0.0005500355 0.00056777854 0.0009048971 0.0011710433 0.1296025 0.0 0.0 9.042245e-06 0.0 9.042245e-06 0.0 0.0 0.0 0.0 9.042245e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0173159 0.00012659143 0.00021701389 0.0 0.00012659143 6.3295716e-05 0.00024414062 0.00012659143 2.7126736e-05 3.616898e-05 3.616898e-05 6.3295716e-05 7.233796e-05 0.0 2.7126736e-05 3.616898e-05 0.0 0.0 0.0 0.0 0.013888889 0.0046296297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014765986 5.4253473e-05 0.00031647857 0.00022605613 0.00037073207 0.000108506945 0.001808449 0.0007595486 1.808449e-05 2.7126736e-05 9.042245e-06 9.042245e-06 1.808449e-05 0.0 1.808449e-05 9.042245e-06 0.039125796 0.0013472945 0.000994647 0.0005334925 0.020128038 0.006971571 0.0022786458 0.0016366465 0.00013563369 0.00014467593 0.00014467593 0.00015371817 9.94647e-05 0.00017180266 7.233796e-05 0.00013563369 0.012659144 0.0032913773 0.00031647857 0.00020797165 0.00011754919 0.00013563369 9.042245e-05 0.00018988716 0.00012659143 0.00030743633 9.042245e-05 0.0001808449 0.00048828125 0.00014467593 9.042245e-05 8.138021e-05 0.028374566 0.0052987556 0.0008770978 0.00056966144 0.0062120226 0.0042588976 0.02709961 0.015615958 0.00088614004 0.00060583046 0.00038881655 0.0003797743 0.001066985 0.0003616898 0.00025318286 0.00034360532 0.10044126 0.011854384 0.012017144 0.00434932 0.01554362 0.00914171 0.034559462 0.024757668 0.0022243923 0.0007957176 0.0011031539 0.000958478 0.0011121961 0.0019079138 0.0003797743 0.0010760272 0.062165435 0.0054705585 0.0044759116 0.0033275464 0.008662471 0.0051359953 0.005226418 0.004132306 0.0033365886 0.0016456887 0.0016004774 0.0010850695 0.0016728154 0.0012839988 0.0008409288 0.0010489004 0.0766059 0.016619647 0.010018808 0.004683883 0.007260923 0.00575991 0.019522207 0.012071397 0.004222729 0.0016637732 0.0016637732 0.0012116609 0.0017180266 0.0013744213 0.0008499711 0.0014196326 0.006067347 0.00068721065 0.0016004774 0.0011393229 0.0005606192 0.000515408 0.004539207 0.0021520543 3.616898e-05 0.00021701389 7.233796e-05 0.00027126737 0.0002803096 0.00012659143 8.138021e-05 0.00017180266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004575376 0.0008770978 0.0014467592 0.0015010127 0.0008770978 0.00081380206 0.0029025609 0.0018174914 0.00081380206 0.00034360532 0.00056966144 0.00033456308 0.00035264756 0.00044307002 0.00038881655 0.0004611545 0.015290437 0.0037796586 0.0052625868 0.0070891203 0.004602503 0.0034812645 0.010516131 0.0060583046 0.0037706164 0.0021791812 0.0021430121 0.0019440828 0.0020345051 0.0017994068 0.0016908998 0.002432364 0.0031286168 0.0011121961 0.0014286748 0.0017451533 0.001293041 0.0009313513 0.0021972656 0.0016637732 0.000958478 0.00054253475 0.0007143374 0.0005334925 0.00055157696 0.00048828125 0.00060583046 0.00062391494 688.0 19.731104 13575.0 0.014585636 0.00022099448 0.00036832414 0.00036832414 0.00051565375 0.00014732964 0.00014732964 7.366482e-05 0.00066298345 0.00014732964 0.0002946593 0.00014732964 0.0013259669 0.0011049723 0.012891345 0.0046408838 0.0106814 0.005524862 0.002946593 0.0017679558 0.0013259669 0.0011786371 0.0008839779 0.00095764274 0.0013996317 0.0007366483 0.0019889502 0.00014732964 7.366482e-05 0.0008839779 7.366482e-05 0.0 0.00022099448 0.040515654 0.002430939 0.019373849 0.060405158 0.010755065 0.010755065 0.0293186 0.0050828727 0.036979742 0.0 0.0011049723 0.004198895 0.005598527 0.035506446 0.0053038676 0.03359116 0.00066298345 0.0061141807 0.012449356 0.008839779 0.0034622469 0.0018416207 0.0021362798 0.027845304 0.00066298345 0.0011786371 0.0 0.0008103131 0.00022099448 0.0 0.009355432 0.0008839779 0.03558011 0.01480663 0.02548803 0.015322284 0.08213628 0.0092817675 0.014438306 0.007587477 0.04353591 0.00066298345 0.0033149172 0.024972375 0.020478822 0.03219153 0.03314917 0.014732965 0.00036832414 0.048839778 0.03174954 0.057090238 0.015616943 0.004567219 0.004051565 0.0033149172 0.008692449 0.0016206262 7.366482e-05 7.366482e-05 0.00022099448 0.0 0.00022099448 5.3057933 0.0 20.0 0.0 1.0 56360.0 65536.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1385493200.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 36864.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8362885 0.0 3.3869724 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 -33620.0 0.0 1208.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 41720.0 1208.0 49152.0 0.0 0.0 7208.0 49152.0 12.0 57344.0 28.0 41408.0 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: 0.053245973 0.0042608576 0.00393454 0.0038020464 0.0038844452 0.0035365913 0.0036920253 0.0037322883 0.0040305154 0.0034780696 0.0036175856 0.0035178643 0.003957012 0.0035094372 0.0038156235 0.0039682486 0.0038783588 0.0033497897 0.0036114992 0.0034200158 0.0037215203 0.003629758 0.0036278854 0.0036864073 0.003768338 0.003477133 0.0036236718 0.0035319095 0.0039504576 0.0036096266 0.0036363127 0.0037861285 0.0037510153 0.0034841557 0.0034668334 0.0034129932 0.0038554184 0.003321699 0.0035726407 0.0034790058 0.003662062 0.0033652394 0.0035693636 0.0035042872 0.0038034508 0.0034715151 0.0037290112 0.0036503577 0.003704198 0.003425634 0.0036573804 0.0035614045 0.0037430564 0.0036250763 0.0035885586 0.0036700212 0.0038053235 0.0036658077 0.0036864073 0.0037781694 0.0038638455 0.003583877 0.0036728303 0.0038638455 0.0037706788 0.0044865175 0.0035932404 0.003489774 0.0035562548 0.003886786 0.0036976435 0.0036086903 0.0036709574 0.0034996055 0.0035431457 0.0036180539 0.0037781694 0.0036489533 0.0036489533 0.0036475488 0.003953267 0.0035127145 0.003685471 0.0035702998 0.0036756392 0.0036826618 0.0038994267 0.0037898738 0.0037622515 0.003908322 0.0036742347 0.003591836 0.0036995162 0.0036166492 0.0037346291 0.0038661864 0.0036494215 0.0036063495 0.0035642136 0.0035445504 0.0037706788 0.003739311 0.0036526986 0.0035501684 0.0037931511 0.0036901527 0.0040487745 0.0035745136 0.0038395002 0.0035698318 0.00381141 0.0038666546 0.0037327565 0.0036175856 0.0038610364 0.003602604 0.004301589 0.004178927 0.003738843 0.00375242 0.0037571017 0.0036358444 0.003726202 0.0037266703 0.003781915 0.0036859391 0.0037196476 0.004020684 0.003744929 0.003583409 0.0034317202 0.004268348 0.0035080328 0.0039733984 0.0034457655 0.0038184326 0.003452788 0.0038694635 0.003599795 0.004516481 0.0034939875 0.0039542033 0.0036583168 0.0038203052 0.0036269492 0.0034438928 0.0034733878 0.0036770438 0.0034420202 0.0036658077 0.0035899633 0.003704198 0.0034293793 0.0037173068 0.0035291007 0.003779574 0.0033820937 0.0038034508 0.0036274171 0.0038540137 0.003399416 0.003613372 0.0034064387 0.003758038 0.003339958 0.00362414 0.003476665 0.003809069 0.003492583 0.0036395898 0.0034813466 0.0037542926 0.003436402 0.0037800423 0.0035497001 0.0037163703 0.0035394004 0.0036475488 0.0035473595 0.0037435247 0.003377412 0.0038217097 0.0037079433 0.0038395002 0.0035422095 0.0038324778 0.003452788 0.0038675908 0.0035047554 0.003902704 0.0037107524 0.0038970858 0.0038769543 0.0036335036 0.0035253551 0.004095592 0.0035347186 0.0037538244 0.0035656183 0.0039148764 0.0036007313 0.0036943662 0.003492583 0.0038994267 0.0034944557 0.0037842558 0.0036597212 0.0038095373 0.0035234825 0.0037173068 0.0035857498 0.0039022358 0.0034251658 0.0037922147 0.003570768 0.0037060706 0.0035347186 0.0038399685 0.003536123 0.0039041084 0.003594645 0.0038952131 0.0037589744 0.003857291 0.003599795 0.0037224567 0.0035216098 0.0038399685 0.0035890269 0.0038174961 0.0035632774 0.0038830405 0.004177991 0.0039045766 0.0036114992 0.0040656286 0.0037238612 0.0038825725 0.0037805103 0.0037992373 0.0038259232 0.0037664652 0.0036475488 0.0037772332 0.0035941768 0.0038643137 0.003854482 0.0038413731 0.003937817 0.003963567 0.0037439927 0.0039031722 0.0040895054 0.003919558 0.0041101053 0.0059359865 0.039827254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00045782226 9.3720007e-07 7.029001e-07 0.0 0.0 0.0 0.0 6.3261004e-06 4.2174006e-06 2.5773002e-06 0.0 0.0 4.6860004e-07 0.0 4.6860004e-07 6.3261004e-06 0.0013355102 1.4292302e-05 1.52295015e-05 2.8116003e-06 1.52295015e-05 4.6860005e-06 1.35894015e-05 5.1546003e-06 9.606301e-06 2.5773002e-06 4.6860005e-06 9.3720007e-07 3.9831e-06 3.5145003e-06 1.6401002e-06 6.0918005e-06 0.0008608183 1.4526601e-05 6.3261004e-06 5.6232007e-06 1.2886501e-05 5.8575006e-06 9.606301e-06 8.434801e-06 7.4976006e-06 2.3430002e-06 4.4517005e-06 3.2802004e-06 7.2633006e-06 9.3720007e-07 3.9831e-06 5.8575006e-06 0.0008099752 1.7806802e-05 1.2417901e-05 1.8744001e-06 8.434801e-06 2.8116003e-06 2.8116003e-06 2.7881702e-05 2.4835803e-05 1.1012101e-05 4.4517005e-06 3.9831e-06 6.0918005e-06 3.5145003e-06 2.1087003e-06 1.9681202e-05 0.00037839453 4.9203004e-06 2.5773002e-06 4.6860004e-07 4.6860004e-07 2.3430002e-07 7.029001e-07 3.2099102e-05 1.9446901e-05 1.1246401e-05 2.3430002e-07 3.0459003e-06 2.5773002e-06 2.3430002e-07 9.3720007e-07 2.2258502e-05 0.0010126447 4.2408305e-05 2.3430002e-05 5.6232007e-06 4.9203005e-05 3.3973505e-05 0.00014292302 8.809681e-05 4.6860005e-06 6.560401e-06 3.5145003e-06 4.2174006e-06 3.7488003e-06 3.7488003e-06 5.3889007e-06 9.372001e-06 0.00030412144 1.4058002e-06 2.4132902e-05 3.9831e-06 2.1789901e-05 1.6869602e-05 5.9746508e-05 3.7956605e-05 1.6401002e-06 7.029001e-07 4.6860004e-07 2.3430002e-07 4.6860004e-07 9.3720007e-07 4.6860004e-07 4.9203004e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00047469186 1.9212603e-05 1.4058001e-05 1.7103901e-05 0.00014924911 8.2942206e-05 0.00038026893 0.00019353181 2.7647402e-05 5.6232007e-06 4.6860005e-06 4.4517005e-06 1.7338201e-05 4.9203004e-06 1.3120802e-05 3.0693303e-05 0.00082309596 0.00010402921 4.8734404e-05 3.7956605e-05 0.00012417902 6.3963904e-05 0.00033083162 0.00017338202 1.9915502e-05 2.7178803e-05 2.3195702e-05 2.0384103e-05 2.6475902e-05 2.6944503e-05 2.5773003e-05 4.3345506e-05 0.00042689464 5.4357606e-05 3.2567703e-05 2.5304402e-05 6.37296e-05 3.7722304e-05 9.465721e-05 6.162091e-05 4.0299605e-05 9.606301e-06 9.1377005e-06 1.0543501e-05 2.2258502e-05 1.2417901e-05 1.9446901e-05 3.9128103e-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 0.0042682434 0.0007858423 0.00046906865 0.00065393135 0.0016996124 0.0014859308 0.00057778385 0.0011012101 0.0022609953 0.00013612832 0.00019774922 0.00023055122 0.0009360286 0.00034699833 0.0009746881 0.002109403 0.0017752913 0.00036972543 0.00024906092 0.00038401774 0.0008608183 0.0007024315 0.00026007302 0.00054966786 0.0009409489 9.1845606e-05 0.00012300751 0.00013237951 0.00049624743 0.00019353181 0.00046602276 0.0010421665 0.05709259 0.056870006 0.056206703 0.05776433 0.05615 0.057201304 0.057396945 0.05856446 0.056784015 0.05744498 0.056909602 0.05853658 0.057822667 0.05856446 0.058981985 0.060454093 10489.0 6.020593 63150.0 0.010308788 0.008962787 0.008788599 0.00885194 0.009485353 0.008440222 0.009469517 0.00813935 0.009374505 0.009342834 0.009707047 0.00888361 0.010039588 0.009422011 0.010245447 0.008772763 0.009485353 0.01010293 0.010926366 0.009992083 0.010055424 0.00939034 0.010023753 0.008566904 0.009944577 0.009168646 0.009944577 0.009865399 0.01034046 0.009501188 0.010403801 0.008471892 0.009675376 0.011369755 0.009707047 0.009722882 0.009580364 0.010863025 0.010071259 0.009786223 0.009707047 0.009865399 0.009200317 0.009200317 0.010166271 0.009881235 0.009326999 0.009231987 0.009944577 0.010324624 0.010007918 0.011369755 0.01034046 0.0111955665 0.011132224 0.010768013 0.009279493 0.010688836 0.009580364 0.010150435 0.010150435 0.01037213 0.009960412 0.01010293 0.009564529 0.012525733 0.010055424 0.011369755 0.012367379 0.01794141 0.0099287415 0.0110213775 0.011464766 0.014125099 0.010530483 0.010514648 0.0137292165 0.011353919 0.013745052 0.013079968 0.011116389 0.009976247 0.01395091 0.0129216155 0.015756136 0.012589074 0.010752178 0.01216152 0.0102137765 0.011163896 0.009612035 0.0099287415 0.01037213 0.010150435 0.009422011 0.009453681 6.5704827 0.0 1.0 0.0 31.0 2135955.0 167936.0 0.0 0.0 196.0 0.0 1.0 0.0 0.0 0.0 1016480260.0 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 61440.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.548457 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1436012 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5241423 0.0 0.089514256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6974.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57614.0 0.0 77824.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -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 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 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 1.0 -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 0.0 1.0 0.0 0.0 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 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 -1.0 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 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 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 67984.0 1288.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 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 65536.0 0.0 0.0 0.0 0.0


Input: 0.3335469 0.020950794 0.009930804 0.01114813 0.012365454 0.005574065 0.013262429 0.0040363916 0.005445925 0.0060866224 0.0040363916 0.0030112762 0.0034597642 0.0048692976 0.0038441825 0.0023065095 0.0041004615 0.0017298821 0.0014736033 0.0051896465 0.001537673 0.0012173244 0.001537673 0.0016658125 0.0024987187 0.0012173244 0.0014736033 0.0012173244 0.0019861609 0.0031394158 0.0017939518 0.0012173244 0.012942081 0.0019861609 0.0022424397 0.001537673 0.001537673 0.0013454639 0.0010251154 0.0010251154 0.0024346488 0.0016658125 0.00435674 0.0028831367 0.0017939518 0.001537673 0.0070476676 0.0040363916 0.019028703 0.0073680165 0.0037801128 0.001537673 0.0019861609 0.0012813942 0.0011532548 0.0016017427 0.0018580215 0.0009610456 0.003267555 0.0020502307 0.0016658125 0.0008969759 0.0008329062 0.0012813942 0.0024346488 0.0049333675 0.0026909278 0.005638134 0.0042286008 0.0023065095 0.0014736033 0.0020502307 0.0046770885 0.0024346488 0.0008969759 0.0021143004 0.0029472066 0.0033956945 0.0012813942 0.0042286008 0.0060866224 0.0014095336 0.0031394158 0.0048692976 0.0028831367 0.006342901 0.0019220912 0.0013454639 0.0008329062 0.0008969759 0.0014736033 0.0008329062 0.0017939518 0.0010251154 0.0008969759 0.0010251154 0.0020502307 0.010251153 0.0027549975 0.00884162 0.007624295 0.023129165 0.0032034854 0.0071117375 0.0051896465 0.013774987 0.0017939518 0.0031394158 0.008072783 0.006342901 0.011468478 0.0101230135 0.007432086 0.0007688365 0.013903127 0.008585341 0.015697079 0.0049333675 0.0016658125 0.003075346 0.0016658125 0.0019220912 0.001089185 0.0009610456 0.0019861609 0.0014095336 0.0012813942 0.0008969759 0.005253716 0.0019861609 0.0060866224 0.00038441824 0.0012173244 0.0012173244 0.005894413 0.001089185 0.0014736033 0.0013454639 0.0011532548 0.0010251154 0.0017298821 0.0008329062 0.0008329062 0.0005125577 0.0012813942 0.0012813942 0.0009610456 0.0008969759 0.0008329062 0.0008969759 0.0006406971 0.0008969759 0.0014095336 0.0010251154 0.0010251154 0.0007047668 0.0008969759 0.0013454639 0.0006406971 0.0007047668 0.0022424397 0.0012813942 0.0012173244 0.0012173244 0.00044848796 0.0005125577 0.0007047668 0.0012813942 0.0012173244 0.0008969759 0.0008969759 0.00019220912 0.001089185 0.0008329062 0.0009610456 0.0016017427 0.0008969759 0.0006406971 0.001537673 0.0009610456 0.0014095336 0.0010251154 0.001089185 0.0012173244 0.0008969759 0.00038441824 0.0006406971 0.0008329062 0.0011532548 0.001089185 0.00044848796 0.0009610456 0.0006406971 0.0007688365 0.0010251154 0.0006406971 0.0008969759 0.0009610456 0.0007688365 0.0006406971 0.0021143004 0.0006406971 0.0008969759 0.0009610456 0.0012813942 0.0013454639 0.0008969759 0.0013454639 0.0008969759 0.0006406971 0.00044848796 0.0006406971 0.0008329062 0.001089185 0.0011532548 0.0007047668 0.0009610456 0.00044848796 0.001089185 0.0005766274 0.0005766274 0.0010251154 0.0005125577 0.0007688365 0.0008969759 0.0008329062 0.0005125577 0.0012173244 0.001089185 0.0005125577 0.0010251154 0.0007047668 0.00044848796 0.0006406971 0.0005766274 0.0007047668 0.0007688365 0.0005125577 0.0010251154 0.0010251154 0.0013454639 0.0007688365 0.0006406971 0.0005766274 0.0009610456 0.0008969759 0.0005766274 0.0020502307 0.0012813942 0.0008969759 0.0006406971 0.0008969759 0.0007047668 0.001537673 0.0008969759 0.011916965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.106759205 0.0027553013 0.0031389508 0.0020228794 0.0024414062 0.003313337 0.008579799 0.003452846 0.0034877232 0.000906808 0.00038364955 0.0008719308 0.0009765625 0.00069754466 0.000453404 0.0026157924 0.22429548 0.0023018974 0.011823381 0.005824498 0.010986328 0.008056641 0.051862445 0.02455357 0.0050223214 0.000906808 0.0004185268 0.0007324219 0.0007672991 0.0 0.000453404 0.009137834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02961077 0.0029645648 0.002546038 0.0038713727 0.0037318638 0.0027204242 0.012032645 0.005859375 0.0017787388 0.00069754466 0.0011509487 0.0009416853 0.0008370536 0.0008719308 0.0008370536 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01928711 0.0030691964 0.0057547432 0.005894252 0.0036969867 0.0032435826 0.009940011 0.0056152344 0.0035226005 0.0015345982 0.0021275112 0.0015345982 0.0018833706 0.0011509487 0.0012555803 0.0019182478 0.057896204 0.016671317 0.02054269 0.026018415 0.02015904 0.014962332 0.035818916 0.022181919 0.01436942 0.007882254 0.009765625 0.007638114 0.008091518 0.007114955 0.00718471 0.009416853 0.011160715 0.004603795 0.004638672 0.0062430245 0.0061383927 0.00390625 0.00920759 0.0054757255 0.003313337 0.0027204242 0.0025111607 0.0023716518 0.002406529 0.0017438616 0.0021623883 0.0028250557 97.0 19.72165 1913.0 0.033978045 0.0026136958 0.0020909566 0.0020909566 0.0052273916 0.0010454783 0.00052273914 0.0010454783 0.0031364348 0.0015682174 0.00052273914 0.00052273914 0.0020909566 0.0031364348 0.033455305 0.029273393 0.06220596 0.028750654 0.013068479 0.0062728697 0.004181913 0.003659174 0.0026136958 0.0026136958 0.0062728697 0.003659174 0.012023001 0.0015682174 0.00052273914 0.0015682174 0.0015682174 0.0010454783 0.00052273914 0.02456874 0.00052273914 0.03240983 0.019341348 0.005750131 0.0020909566 0.0031364348 0.0031364348 0.009409305 0.0 0.00052273914 0.004181913 0.010454783 0.0026136958 0.021955045 0.0047046524 0.0 0.009409305 0.015682174 0.0052273916 0.00052273914 0.0015682174 0.00052273914 0.0 0.0 0.005750131 0.0 0.003659174 0.0015682174 0.0 0.0010454783 0.0010454783 0.024046002 0.0020909566 0.04861474 0.030318871 0.044955567 0.0052273916 0.02456874 0.017250393 0.051228438 0.00052273914 0.00052273914 0.009932044 0.026659697 0.020386826 0.041296393 0.015682174 0.00052273914 0.051751178 0.030318871 0.060115002 0.009932044 0.0 0.011500262 0.0010454783 0.0015682174 0.0026136958 0.0 0.00052273914 0.00052273914 0.00052273914 0.00052273914 5.408147 0.0 18.0 0.0 1.0 15608.0 16384.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1541642800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 0.0 512.0 4096.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.228767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.4541824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7112.0 8192.0 0.0 0.0 7416.0 8192.0 0.0 0.0 84.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.12799461 0.01209475 0.0047000814 0.0042641414 0.004865704 0.0031262364 0.0029734857 0.0031914555 0.005540209 0.0035372896 0.0045052813 0.0029846418 0.004058186 0.0031940301 0.0025375462 0.0050768084 0.0059684254 0.0046211313 0.0027297714 0.0025040784 0.0032137674 0.004954093 0.0026019074 0.0024011005 0.0031785835 0.0024817665 0.002335881 0.0026911548 0.0027804023 0.002311853 0.0024002423 0.0026019074 0.009698798 0.0023152856 0.0026250773 0.0024714686 0.0035184103 0.0031897393 0.0023959517 0.0023650583 0.0029854998 0.002474043 0.0028790894 0.002825026 0.002639666 0.0028155863 0.0042349645 0.0024774757 0.0037080613 0.002474043 0.0027168994 0.0046202736 0.002968337 0.0026413822 0.0023650583 0.002236336 0.0027529416 0.003321036 0.002386512 0.0036394093 0.0029082664 0.00281387 0.0023616257 0.0031064989 0.0071869968 0.0034737866 0.0027589486 0.0034102835 0.0035312825 0.006838588 0.0035329987 0.002836182 0.003273838 0.0031734344 0.0024525893 0.0024371427 0.003239512 0.00455248 0.0028353238 0.0027160412 0.006296238 0.0033287595 0.003112506 0.0041405684 0.0029511738 0.0038590953 0.004141426 0.0037913017 0.0033227524 0.002848196 0.0023590513 0.0026036236 0.0027546578 0.0031056406 0.0028215933 0.004272723 0.0029812092 0.0054947273 0.0033656599 0.0036814585 0.0043834243 0.008689615 0.0048219385 0.003073031 0.0053531327 0.005297353 0.004189483 0.0023530442 0.0050090146 0.0033193198 0.0049377885 0.0053119413 0.0043147723 0.002167684 0.0061941184 0.0054526776 0.008236513 0.0060448004 0.003604225 0.0036651536 0.0034068509 0.0025066528 0.0023152856 0.0023539022 0.0027546578 0.002916848 0.0024525893 0.0023856538 0.0052707503 0.0027975652 0.0024354265 0.0051763537 0.0032326467 0.0060722614 0.0025504185 0.0022500663 0.0042984677 0.0061949766 0.0028979687 0.0107671935 0.0026156376 0.005898057 0.0022869667 0.0027709627 0.0026722755 0.0022921155 0.002778686 0.0025435532 0.0023393137 0.0025967585 0.002386512 0.002283534 0.002432852 0.0026207867 0.00227152 0.002230329 0.0025692976 0.0022380522 0.0021822725 0.0022500663 0.0028739404 0.0026894384 0.002224322 0.002288683 0.0026628359 0.002421696 0.003061017 0.0030653076 0.0025066528 0.0022260381 0.0023899446 0.0023599092 0.0027469345 0.0022646547 0.0021977192 0.0022646547 0.0028276006 0.0022698038 0.0025898933 0.002329874 0.0025512765 0.0025564255 0.002634517 0.0025323972 0.0028747986 0.002335881 0.002220031 0.0023324485 0.002807863 0.0024920644 0.0023496116 0.0023616257 0.005713555 0.0031288108 0.0029503158 0.0029957977 0.0032566749 0.0023067042 0.0025384042 0.0038436488 0.0027477925 0.0029606135 0.0023453208 0.002438859 0.007267663 0.0022732364 0.002594184 0.0024019587 0.0028456217 0.0023993843 0.0024714686 0.003130527 0.0025976165 0.002277527 0.002738353 0.0024294194 0.0028413308 0.002352186 0.0023272997 0.0028001396 0.0026190702 0.0024517314 0.0023539022 0.002259506 0.0036196718 0.0023899446 0.0023504698 0.0023187182 0.0028173027 0.0022389104 0.002524674 0.0028052886 0.005067369 0.0028911035 0.0022912575 0.009943371 0.0035192685 0.0022517827 0.0023041298 0.0023444626 0.0033871136 0.0024036749 0.0022698038 0.0031270944 0.0031210873 0.0023230088 0.0031657112 0.0029511738 0.0037681316 0.002438859 0.0026267937 0.0025916095 0.0042795883 0.0027924164 0.0046322877 0.032926314 0.016725352 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00081795704 5.1579004e-06 6.0175507e-06 3.4386003e-06 3.4386003e-06 5.1579004e-06 5.5877254e-06 3.4386003e-06 2.1491253e-06 2.5789502e-06 6.4473757e-06 3.868425e-06 3.4386003e-06 3.0087754e-06 6.0175507e-06 2.5789502e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035813022 6.0605333e-05 9.370186e-05 2.6219328e-05 5.286848e-05 9.112291e-05 0.00017880721 0.00011476329 6.834218e-05 9.026326e-06 1.4614052e-05 9.885976e-06 1.2464926e-05 1.0315801e-05 1.54737e-05 6.18948e-05 0.0053710938 9.069309e-05 0.00012078084 5.4157954e-05 0.0001508686 8.338606e-05 0.00017966687 9.928959e-05 0.000113043985 2.9228104e-05 1.6333352e-05 2.5789503e-05 6.662288e-05 1.7622826e-05 0.0019647302 0.00041950925 0.003920864 7.092113e-05 0.000181816 0.00011863171 0.00017751774 8.338606e-05 0.00042294784 0.00018482476 2.9228104e-05 9.456151e-06 6.0175507e-06 1.2894751e-05 2.3210552e-05 3.4386003e-06 0.00072296575 0.0001938511 0.008284018 0.00012679839 0.0004530356 0.00019600023 0.00035116705 0.00023597394 0.0012697031 0.00075778156 0.00027852663 4.513163e-05 4.341233e-05 2.8368453e-05 0.0001388335 1.6333352e-05 0.0007754044 0.0010840187 0.019399295 0.00032150914 0.0028974507 0.00095464144 0.0015516684 0.0012903347 0.0075434297 0.004533365 0.0010573696 0.000108745735 0.00014442121 0.00019685987 0.0004702286 5.544743e-05 0.0017407915 0.00262881 0.014221622 0.00065161474 0.0026679242 0.0008828606 0.002319336 0.001169554 0.007181517 0.0041632853 0.00086609746 0.00018095634 0.00028755295 0.0002419915 0.0012374663 0.00010917556 0.0009971941 0.0024345291 0.013718726 0.00064129895 0.002454301 0.0010758521 0.0028931524 0.0018899407 0.004731944 0.0030818456 0.00075434294 0.000353746 0.0004427198 0.0003124828 0.0007857202 0.0002179213 0.0009082203 0.0018293353 0.009847722 0.0010169661 0.0014437824 0.0007165183 0.0017657212 0.0013427734 0.004002961 0.0022754937 0.00096538704 0.0003515969 0.0011308697 0.00044186015 0.0013277296 0.00064645684 0.00088973786 0.0026442837 0.009435949 0.001262826 0.0024504326 0.0013290191 0.0019406601 0.001380598 0.0050010146 0.0031390123 0.0016427913 0.00066150073 0.0024607484 0.00086136936 0.001864581 0.0011519311 0.0012082382 0.0029417225 0.04255096 0.0097918445 0.00427418 0.006488209 0.011050372 0.0119839525 0.006490788 0.007503026 0.02400315 0.0028944418 0.0024749327 0.004244952 0.010197599 0.0043498296 0.007136815 0.025902977 0.011970627 0.0026253713 0.0021826515 0.0025531608 0.0027676434 0.0036303024 0.0022024235 0.002528231 0.0049520144 0.0015129842 0.0011411855 0.00127744 0.0026859767 0.0014330366 0.0029361348 0.006417718 0.03417711 0.033171747 0.032681316 0.03262759 0.033276197 0.032572143 0.0329448 0.03235465 0.03287044 0.032584608 0.03213501 0.03245824 0.033026896 0.03294953 0.03245308 0.032364536 7530.0 12.6679945 95390.0 0.07329909 0.0021281056 0.003679631 0.002369221 0.0028724184 0.007893909 0.0023377712 0.003155467 0.003983646 0.0030506342 0.0073068454 0.0024950204 0.003417549 0.007820526 0.016437782 0.0029038684 0.0038997799 0.0028304853 0.004874725 0.0054617883 0.0028304853 0.0019603733 0.0026837194 0.002065206 0.0029248348 0.0027990355 0.0033860991 0.003270783 0.0028724184 0.0035747981 0.0030087011 0.008606772 0.0045916764 0.012097704 0.0043715276 0.010766327 0.00834469 0.017171612 0.0084914565 0.005000524 0.0055037215 0.012862983 0.002515987 0.0036167314 0.007338295 0.0074536116 0.0069189644 0.006122235 0.010556662 0.0027571025 0.005681937 0.01163644 0.0073487787 0.004665059 0.008386623 0.007694727 0.007956808 0.0028095187 0.0022329385 0.00386833 0.0032602998 0.0041933116 0.0022958382 0.020798827 0.0025998533 0.038830064 0.014152427 0.018366706 0.021406855 0.07348779 0.011971905 0.011259042 0.0128000835 0.03423839 0.0052101896 0.00386833 0.026742846 0.015274138 0.030653108 0.034856904 0.017444177 0.0023901877 0.04226858 0.03414404 0.046241745 0.01467659 0.014183877 0.011447741 0.009225286 0.0061432016 0.0032602998 0.0025474369 0.0022014887 0.0026103365 0.0019708565 0.0020127897 5.8312197 3.0 0.0 0.0 22.0 1165299.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 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 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0067024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2244086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.34107015 0.019712936 0.034202397 0.006767805 0.035519622 0.004723837 0.011264535 0.0053597386 0.0046784156 0.00390625 0.030523255 0.003997093 0.0067223837 0.003452035 0.0026344478 0.001771439 0.0025890262 0.015307049 0.0076762354 0.00481468 0.0016351744 0.0014080668 0.0044058864 0.00240734 0.0032249272 0.0014080668 0.0012718023 0.0013626453 0.0014534884 0.0010446948 0.0016351744 0.0009992733 0.008630088 0.0020893896 0.0037699854 0.0007721657 0.001771439 0.0014989099 0.0014080668 0.00068132265 0.013308503 0.0008630087 0.0036791423 0.00049963663 0.0009992733 0.001953125 0.00240734 0.0009992733 0.0052688955 0.0018168605 0.003633721 0.00095385173 0.0017260174 0.0012718023 0.00049963663 0.0008630087 0.0026798693 0.0036791423 0.002043968 0.00095385173 0.0019077035 0.0009992733 0.0027707121 0.0012718023 0.0024527616 0.004315044 0.0013172239 0.0040425146 0.002225654 0.0010901163 0.0018622819 0.0019985465 0.0014080668 0.0024527616 0.0017260174 0.00068132265 0.0015897529 0.0029523983 0.00090843026 0.0012718023 0.0027707121 0.0007267442 0.002043968 0.003633721 0.0026344478 0.0009992733 0.0021802327 0.00045421513 0.00095385173 0.0015897529 0.0017260174 0.00095385173 0.0003179506 0.00022710756 0.0003179506 0.0030432413 0.00054505817 0.016942224 0.0020893896 0.006404433 0.006994913 0.024300508 0.0028615552 0.0059956396 0.0038608285 0.015715843 0.0010901163 0.0043604653 0.010083576 0.008630088 0.017214753 0.026753271 0.008993459 0.0010446948 0.01589753 0.011491642 0.021575218 0.006767805 0.0024981832 0.0014534884 0.0019985465 0.0032703488 0.0007267442 0.02221112 0.0013172239 0.009265988 0.0003179506 0.0003633721 0.001771439 0.00059047964 0.00045421513 0.00049963663 0.00013626454 0.00027252908 0.0017260174 0.0 9.084302e-05 0.0004087936 4.542151e-05 0.00013626454 0.00018168605 0.00027252908 0.00018168605 0.0003179506 0.00018168605 0.00018168605 0.0 0.00022710756 0.00022710756 0.00013626454 0.00013626454 4.542151e-05 0.00013626454 0.00054505817 0.00045421513 0.0003633721 0.0004087936 4.542151e-05 9.084302e-05 4.542151e-05 0.0003633721 0.0003179506 0.0003179506 4.542151e-05 9.084302e-05 9.084302e-05 0.00022710756 9.084302e-05 0.00022710756 0.00027252908 0.00027252908 0.00022710756 0.00013626454 0.00022710756 9.084302e-05 0.00013626454 0.00018168605 0.00022710756 4.542151e-05 9.084302e-05 9.084302e-05 0.00013626454 0.00022710756 0.00018168605 0.00018168605 0.00022710756 0.00013626454 0.00013626454 0.00013626454 0.00022710756 0.00013626454 4.542151e-05 0.00013626454 0.00013626454 0.00013626454 0.0003633721 0.00027252908 4.542151e-05 0.0025436047 0.00013626454 0.0003179506 4.542151e-05 0.0 0.00027252908 0.00068132265 0.0008630087 4.542151e-05 4.542151e-05 0.0004087936 0.00059047964 0.0003179506 0.00022710756 0.00018168605 4.542151e-05 0.00018168605 0.00027252908 9.084302e-05 0.00013626454 9.084302e-05 0.00022710756 0.00018168605 9.084302e-05 0.0 0.00018168605 0.00027252908 0.00013626454 4.542151e-05 0.00018168605 0.00090843026 0.00022710756 9.084302e-05 0.0 0.00045421513 0.00013626454 4.542151e-05 9.084302e-05 0.00095385173 4.542151e-05 0.00018168605 0.0003633721 0.0003179506 0.00018168605 0.00013626454 0.00027252908 0.00018168605 4.542151e-05 4.542151e-05 0.00018168605 4.542151e-05 0.00022710756 0.00022710756 0.00018168605 0.00018168605 4.542151e-05 0.0016351744 0.0003179506 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17468262 0.016796876 0.017382812 0.017431641 0.01303711 0.010180664 0.08586426 0.06057129 0.0007568359 0.00034179687 0.000390625 0.0001953125 0.0005371094 0.0003173828 0.00014648438 0.0013671875 0.19277343 0.022998046 0.019921875 0.010644531 0.011376953 0.009057617 0.041967772 0.034521483 0.0016601563 0.0010253906 0.00046386718 0.00048828125 0.0012451172 0.00048828125 0.00061035156 0.0007568359 0.08632813 0.009863282 0.006787109 0.004272461 0.0036621094 0.0029296875 0.013012695 0.009033203 0.0037109375 0.0010498047 0.0010009765 0.00095214846 0.002416992 0.0009033203 0.0029052733 0.001171875 0.042456053 0.0033203126 0.0022705079 0.002001953 0.0053466796 0.0036376952 0.02055664 0.010571289 0.0010253906 0.00095214846 0.0013671875 0.00083007815 0.0021728515 0.0017089844 0.00068359374 0.0010986328 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 335.0 13.459702 4509.0 0.0035484587 0.00022177867 0.00022177867 0.0008871147 0.0017742293 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008871147 0.00044355734 0.0048791305 0.000665336 0.0015524507 0.0008871147 0.000665336 0.0008871147 0.0008871147 0.00044355734 0.00022177867 0.00044355734 0.0 0.0 0.0 0.0 0.00044355734 0.000665336 0.00022177867 0.00022177867 0.0 0.010423597 0.0028831225 0.014193835 0.0064315815 0.0031049014 0.0031049014 0.0075404746 0.0031049014 0.005988024 0.0035484587 0.0008871147 0.002661344 0.010201818 0.0017742293 0.002661344 0.007984032 0.00022177867 0.0048791305 0.014637392 0.009092925 0.0037702373 0.0035484587 0.0015524507 0.0 0.00044355734 0.00022177867 0.0 0.0 0.0 0.0 0.012419606 0.0008871147 0.06298514 0.00665336 0.025060989 0.027500555 0.106675535 0.010201818 0.024839211 0.012419606 0.06254158 0.0031049014 0.0035484587 0.04324684 0.036149923 0.06409404 0.07562652 0.030161899 0.0011088933 0.060767353 0.029496562 0.093812376 0.026835218 0.0088711465 0.005322688 0.0070969174 0.011976048 0.000665336 0.0 0.0 0.0 0.0 0.0 4.8427224 0.0 0.0 0.0 1.0 22016.0 40960.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1542192900.0 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 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 20992.0 512.0 4096.0 2.0 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 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.332435 0.0 0.0 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 -20516.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 8216.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8208.0 0.0 0.0 72.0 8292.0