MAT2705-01/02 13F Test 1 Print Name (Last, First) _________________________________|__Show all work, including mental steps, in a clearly organized way that speaks for itself. Use proper mathematical notation, identifying expressions by their proper symbols (introducing them if necessary), and use arrows and equal signs when appropriate. Always simplify expressions. BOX final short answers. LABEL parts of problem. Keep answers EXACT (but give decimal approximations for interpretation). Indicate where technology is used and what type (Maple, GC). [Recall you need 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 instead of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIidGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRictRjY2LVEiLEYnRjlGOy9GP0YxRkBGQkZERkZGSC9GS0ZPL0ZOUSwwLjMzMzMzMzNlbUYnRitGOQ== in your differential equation for an unknown variable LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= for Maple to interpret the prime as a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= derivative.]
1. 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 [combine any exponentials that occur in this problem!]
a) Find the general solution using the separable technique.b) Find the solution satisfying the stated initial condition and evaluate it at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRJDAuNUYnRjlGOQ== to 4 decimal place accuracy.c) Draw the corresponding solution curve on the slope field for all values of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= in the plot window and estimate the value of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRJDAuNUYnRjlGOQ==. Compare your graphical and numerical values.d) What is the limiting value of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= for your IVP solution as LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKCZzcmFycjtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSgmaW5maW47RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUY5?e) What is the value of the characteristic time LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NjQ7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy for the exponential function in this differential equation? Make a rough sketch of your choice of technology plot of your IVP solution from LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= to LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjVGJ0Y5LUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVy1GLDYlUScmIzk2NDtGJy9GMEY9RjlGOQ==, including the horizontal asymptote corresponding to part d) as well as the time axis.-%%PLOTG6&-%'CURVESG6gfl7%7$$!%D_!"%$""!!""7$$!%vZ!"%$""!!""7$$!1\d#z&yU<\!#;$"%D6!"$7%7$$!1&ylf@7!3^!#;$"2b(Q%R\DC0'!#;7$$!1:U.%y()>*[!#;$"2Ch01XdZR"!#:7$$!1%yD+d0(4]!#;$"2=c)=yq())>"!#:7%7$$!1Gs,^5Qf]!#;$"2pVhFUafc"!#:7$$!1sF)*[*=1%\!#;$"1j&QsdXSV#!#97$$!12Ko0OYK]!#;$"2k-b"R(z*)=#!#:7%7$$!/L**fiPS]!#9$"2vCG3"[IdD!#:7$$!/n+SPif\!#9$"1_<<*=&pUM!#97$$!1JQ3C$>0/&!#;$"2Q5c8k^E=$!#:7%7$$!1t9L"z(\I]!#;$"1Pua4I:aN!#97$$!2k_o'3A]p\!#<$"1jDX!*p%eW%!#97$$!1yvwr&QX/&!#;$"1391y!p)yT!#97%7$$!1FXOA$zW-&!#;$"1\!)p/7n_X!#97$$!2FZNwn?b(\!#<$"1^>I&zGtW&!#97$$!1x'Q!*\Kp/&!#;$"2a$f8ZOSw^!#:7%7$$!11e'fUO/-&!#;$"2:xn`0g=b&!#:7$$!1%>MSdj&z\!#;$"1HAjW*R"[k!#97$$!1e3L%e<&[]!#;$"1bwV!))zY<'!#97%7$$!1xu)z8Ov,&!#;$"0LM-#)o8b'!#87$$!1AD,iQY#)\!#;$"0nl(z6j[u!#87$$!0WrvNV'\]!#:$"1[G]8+Ttr!#97%7$$!1l">]0b`,&!#;$"121"R7\5b(!#97$$!1N3)\%\k%)\!#;$"1$R*3w3&*[%)!#97$$!1%Rd$\P[]]!#;$"0v3lzOC<)!#87%7$$!0yuLhbO,&!#:$"18l$eaH3b)!#97$$!0ADmQWj)\!#:$"1([jTXq"\%*!#97$$!1@S6q[8^]!#;$"1$p]!ewmr"*!#97%7$$!12@&\N%H7]!#;$"1>c8&Gs1b*!#97$$!2C*y/Xcq()\!#<$"2"Qk[rF$\/"!#97$$!1'>_A4a;0&!#;$"2x!>:uW5<5!#97%7$$!1#)=@$ez6,&!#;$"2KciBeb]0"!#97$$!2%=")y;/#)))\!#<$"2oVPwTW\9"!#97$$!1'*)4qvx?0&!#;$"2YQa&4I0<6!#97%7$$!1nSPs*\-,&!#;$"2v*RW=n/b6!#97$$!2F$fiF+v*)\!#<$"2D+c:G`\C"!#97$$!1lxF#**HC0&!#;$"2">!e>y4q@"!#97%7$$!1>;ilHY4]!#;$"2i1,m")R]D"!#97$$!0QyV.P0*\!#:$"2P$*)R$=g\M"!#97$$!1-J1Tus_]!#;$"1'34X'H(pJ"!#87%7$$!1)Re-6)y3]!#;$"0XPzLM]N"!#77$$!1-;u*)=@"*\!#;$"0bi?ml\W"!#77$$!1%)*QF&>)H0&!#;$"2F)3MK7%pT"!#97%7$$!1xuuUI?3]!#;$"2cErl"*H]X"!#97$$!1CDDdpz"*\!#;$"2WtGM3q\a"!#97$$!1f<z">-K0&!#;$"2mc]:g8p^"!#97%7$$!1ARbr4p2]!#;$"1aj.(HE]b"!#87$$!1ygWG!4B*\!#;$"1YO'Hqt\k"!#87$$!0;M)RYR`]!#:$"2jA9jK*)oh"!#97%7$$!1tpQW!Rs+&!#;$"2G'>f'HB]l"!#97$$!1FIhb4w#*\!#;$"2s.3Mqw\u"!#97$$!1*e>>CkN0&!#;$"2$f33Jy'or"!#97%7$$!0*p`ds$o+&!#:$"2l$ys"y?]v"!#97$$!0,jCuiJ*\!#:$"2N;s#=#z\%=!#97$$!1P-<O[r`]!#;$"24bhYm[o"=!#97%7$$!1:FU3xZ1]!#;$"1:)oIl=]&=!#87$$!2`Gx:HAN*\!#<$"1&=JpM")\%>!#87$$!1**>&pW\Q0&!#;$"0m'Ro9$o">!#77%7$$!1`<nrS:1]!#;$"2i2:a$o,b>!#97$$!2mCG$Gf%Q*\!#<$"2Q#\ekJ)\/#!#97$$!1xff*[qR0&!#;$"2j%\h`f"o,#!#97%7$$!2.+++++]s%!#<$""!!""7$$!%vU!"%$""!!""7$$!1\d#z&yU<W!#;$"%D6!"$7%7$$!1$4yHmd$HY!#;$"1yaw&*f1=j!#:7$$!12>-PBkqV!#;$"2AXB/S$>o8!#:7$$!2X1Feb^&)\%!#<$"2ac"pK6!)*>"!#:7%7$$!2/_#)eX!euX!#<$"2X()=;?Sad"!#:7$$!0[<Ta>aU%!#:$"2b7"Q)zfXU#!#:7$$!1o;![*)*pDX!#;$"2MLM7G)4$>#!#:7%7$$!1"z1G'4J^X!#;$"1d>WDw&=c#!#97$$!14K>P!*o[W!#;$"2N/eXPU"QM!#:7$$!2C)f@Dt$f`%!#<$"2#z*Gw;[k=$!#:7%7$$!2N[!\O'G*QX!#<$"1(R5mX'ycN!#97$$!2n^4NOr5Y%!#<$"1.'*QVN@VW!#97$$!1Q!*zx`6TX!#;$"2wc=!f!=@=%!#:7%7$$!2N6)z#378`%!#<$"1uz)[%)yVb%!#97$$!1()=?<zooW!#;$"1E?6b6iXa!#97$$!2jzCx]6Ua%!#<$"1(G$4XL>z^!#97%7$$!21!4Y_4<EX!#<$"2M9P'\W0`b!#:7$$!2'*4Rv/HQZ%!#<$"1dGO]b%pW'!#97$$!1CGm'yjia%!#;$"0Tfh")3r<'!#87%7$$!2$*ooFhsC_%!#<$"1$fX;:]Ab'!#97$$!168B(QFvZ%!#;$"12WN[)\xW(!#97$$!1(*Ggn:sZX!#;$"1(4gM"[bvr!#97%7$$!2'=Qqjlo>X!#<$"1igs,es^v!#97$$!2;='HOMJ![%!#<$"1QRF)>u#[%)!#97$$!2;bhfb4)[X!#<$"1%*yo=UNu")!#97%7$$!0w#yUK^<X!#:$"1Fd'GCl8b)!#97$$!0C<sv'[#[%!#:$"1tU8dZj[%*!#97$$!1M=*p?_'\X!#;$"1G$\(y)*Rt"*!#97%7$$!1KqH)*4x:X!#;$"16j%G!o5^&*!#97$$!2&oHq,!HU[%!#<$"2*o`r>$*)[/"!#97$$!1@2f$*QK]X!#;$"264r+Ois,"!#97%7$$!20yfwQVV^%!#<$"22As)H:4b5!#97$$!0ASBhcc[%!#:$"2$zx7q%3\9"!#97$$!1\ndY<(3b%!#;$"2oL(\2!)><6!#97%7$$!2m!RduB:8X!#<$"2s*=*z%p2b6!#97$$!2O4EaiZo[%!#<$"2G53?0B\C"!#97$$!2$\:ggqK^X!#<$"2U!z?3Q9<7!#97%7$$!1MK*HsV@^%!#;$"29TE+fl]D"!#97$$!2lw1qFcy[%!#<$"2()et*4W$\M"!#97$$!0tw.U6<b%!#:$"2k$z&Qa(4<8!#97%7$$!19GOx&y7^%!#;$"216'prl0b8!#97$$!2j=PEU@()[%!#<$"2%*)QIGM%\W"!#97$$!1$)pu!>S?b%!#;$"1'3*='fdqT"!#87%7$$!2/X5sPG0^%!#<$"2'p(3AH\]X"!#97$$!0b*yA;Z*[%!#:$"2/B"z22&\a"!#97$$!2c6LSgCBb%!#<$"2&e3mdF-<:!#97%7$$!1T3Ui;()4X!#;$"2'o*[=LV]b"!#97$$!1f"zvLG,\%!#;$"29.^"om&\k"!#97$$!1L"p/1tDb%!#;$"1<xH4@*ph"!#87%7$$!2'p?l(*>H4X!#<$"20S^-RQ]l"!#97$$!22$zM-!32\%!#<$"2&*f[(4;'\u"!#97$$!1$Rtq'>z_X!#;$"2%=GcR\'pr"!#97%7$$!1R?3%ew(3X!#;$"2lP*)yCM]v"!#97$$!2:'z"fTB7\%!#<$"2Ni5@vl\%=!#97$$!2kRf_H')Hb%!#<$"2Qcy!*oSp"=!#97%7$$!1H"3qI:$3X!#;$"2G$RJT2.b=!#97$$!28(=*Hp%o"\%!#<$"2s1'oe#p\%>!#97$$!1MdIh*fJb%!#;$"1;N47*=p">!#87%7$$!2`$))on+!z]%!#<$"2sQ2ouF]&>!#97$$!1l6JK**4#\%!#;$"2Gh#>`A(\/#!#97$$!1sZ*>4;Lb%!#;$"2yTt!\#**o,#!#97%7$$!2/+++++]A%!#<$""!!""7$$!%vP!"%$""!!""7$$!2$\d#z&yU<R!#<$"%D6!"$7%7$$!2xeV;DB2:%!#<$"0(od9B*)em!#97$$!18kN[nF\Q!#;$"2HJU&o26M8!#:7$$!2/4&=F.X')R!#<$"27&y.Mg(z>"!#:7%7$$!2lhe/jAD4%!#<$"2PRse02)*e"!#:7$$!1%QT&ptZ2R!#;$"2jgFT%H>5C!#:7$$!2%=,&y[>t,%!#<$"1uv\:pz'>#!#97%7$$!2.?kAa+[1%!#<$"1H=<Um1pD!#97$$!/etd%*>NR!#9$"1r"GyNL4V$!#97$$!1kq!Qp&3IS!#;$"2P(fyRta!>$!#:7%7$$!2&y='o(p]\S!#<$"1X\"[?G5c$!#97$$!1A"QJ-$\]R!#;$"1b]=&zr*QW!#97$$!12@sUIqOS!#;$"1C9\h0&e=%!#97%7$$!1M]q+`&*RS!#;$"1*HhC1_rb%!#97$$!2n'\H*pW+'R!#<$"1,(Qv$z%GW&!#97$$!2N^TV!HpSS!#<$"1[CU=s\#=&!#97%7$$!2LzUYmdM.%!#<$"1[tA!*H+bb!#97$$!12sNNBamR!#;$"1_Ex4q*\W'!#97$$!1FLF)3YL/%!#;$"1/Rg#3P+='!#97%7$$!1Jh%))[i(GS!#;$"1c#z$[>p`l!#97$$!2&pQ:6vBrR!#<$"1W2i^!3jW(!#97$$!1'4%QQIBXS!#;$"066/jq"yr!#87%7$$!2nV9=^:_-%!#<$"1<dt/[$Gb(!#97$$!1kb=)[%yuR!#;$"1$Gk_>lrW)!#97$$!1^o&o(=kYS!#;$"1'4DFq6n<)!#97%7$$!1%eNuQVC-%!#;$"1x(3#)GWAb)!#97$$!2jTkDhcv(R!#<$"1B7z6dvZ%*!#97$$!1K&ee-Lx/%!#;$"1y.g_Bav"*!#97%7$$!1o)e%o"=--%!#;$"1'Q>rX?=b*!#97$$!2E8T:$=yzR!#<$"291)Gaz"[/"!#97$$!2%pY%=j-'[S!#<$"2r$QPG&eu,"!#97%7$$!1AYQXIR=S!#;$"1T:U41:b5!#87$$!1y`hapg")R!#;$"1f%y0R\[9"!#87$$!1)R$>C<J\S!#;$"2.SR*3)yt6"!#97%7$$!1nLu'Hpo,%!#;$"23&\?bm7b6!#97$$!1LmD.28$)R!#;$"2#\]zWL([C"!#97$$!1&)4Oj3!*\S!#;$"2Bc+CT6t@"!#97%7$$!1OvyO"yb,%!#;$"1K/h')z5b7!#87$$!2XY7K'=U%)R!#<$"1o&*Q8?*[M"!#87$$!1\xSQ!)R]S!#;$"2G$)Rbq`sJ"!#97%7$$!2b;57>qW,%!#<$"210iq:$4b8!#97$$!1N)*y3)Hb)R!#;$"2%\z$H%o!\W"!#97$$!2a6(HxJ#30%!#<$"1do^]P?<9!#87%7$$!1K)\I64N,%!#;$"2$*fAE="3b9!#97$$!2'o,&p)3\')R!#<$"22Sxt")=\a"!#97$$!1hP#)[3>^S!#;$"23-w54gr^"!#97%7$$!1_pkevm7S!#;$"2m;!Hv82b:!#97$$!2([INTCL()R!#<$"2M$)4ZiG\k"!#97$$!1DewZ>^^S!#;$"13B_7;7<;!#87%7$$!2m*RKmX#>,%!#<$"230VBCj]l"!#97$$!1/gnLa2))R!#;$"2#\pldn$\u"!#97$$!2k$[p#y%z^S!#<$"2yW%fZu3<<!#97%7$$!1VPP*zj7,%!#;$"2)o<XBk0b<!#97$$!1dii+it))R!#;$"27B[ldV\%=!#97$$!2:p'Q*zX?0%!#<$"2EU$p6p0<=!#97%7$$!08t&QBn5S!#:$"2l_)>]10b=!#97$$!0(oUhwK*)R!#:$"2NZ,)\$\\%>!#97$$!2xRaX2qA0%!#<$"22+ktXHq">!#97%7$$!1be%Q$)R,,%!#;$"2j[F$>d/b>!#97$$!2b9ah;g)*)R!#<$"2P^s1Ga\/#!#97$$!0H91mrC0%!#:$"2sn%pTY+<?!#97%7$$!%DP!"%$""!!""7$$!2'***********\F$!#<$""!!""7$$!1\d#z&yU<M!#;$"%D6!"$7%7$$!0%)QauA.n$!#:$"2b-R*>3efq!#;7$$!2(f6casnHL!#<$"2u41!=>/%H"!#:7$$!1jefb*[UZ$!#;$"2t!*Q<-rI>"!#:7%7$$!2mUgTxwFh$!#<$"2y1vTo31h"!#:7$$!1t&ReABsQ$!#;$"2A$\#eJ"R*Q#!#:7$$!0nR3F'G2N!#:$"1R9)R0!H*>#!#97%7$$!1B2-NM0"e$!#;$"2=EPtr7-e#!#:7$$!2mFz\cY*=M!#<$"1QFm#G(y>M!#97$$!1KA@HysAN!#;$"1nZ:=Le%>$!#97%7$$!1vC>*)GfiN!#;$"1f[#3Njxc$!#97$$!2W_2362uV$!#<$"1T^<\mBKW!#97$$!1'Qheye5`$!#;$"1%=?Y!=#**=%!#97%7$$!1'e"**yny]N!#;$"1iRc)R8;c%!#97$$!2PT35A8#\M!#<$"1QgV,mQQa!#97$$!1&yxBAgh`$!#;$"1dM)Qqvi=&!#97%7$$!1r%4\kbEa$!#;$"1vH)4og"eb!#97$$!2'G04bVMdM!#<$"1Dq,>$R=W'!#97$$!1cF+NedRN!#;$"1v&Q.CxM='!#97%7$$!2.3WIbPn`$!#<$"1E&zd&*Qgb'!#97$$!1>f&pWiKY$!#;$"1u/AW5'RW(!#97$$!20#o>:H,UN!#<$"1@cgSoH"=(!#97%7$$!1C20giCKN!#;$"1F-\0akav!#97$$!1w#\*RPvnM!#;$"1t(4Xfa`W)!#97$$!2bijkNNQa$!#<$"0Rk$4Ecz")!#87%7$$!2B/cOKD(GN!#<$"1zM<uBo`&)!#97$$!1dRMwYFrM!#;$"1@l#ei<jW*!#97$$!17DJuyCXN!#;$"1vzUhb:y"*!#97%7$$!2Mjba"H*e_$!#<$"1k#)Gy'*)Hb*!#97$$!1mVa%32TZ$!#;$"2O<r@.,Z/"!#97$$!0xI">RPYN!#:$"2(4>zc$*p<5!#97%7$$!1o%H@6mN_$!#;$"2\Jl!3vCb5!#97$$!29`qy)QVwM!#<$"2^oM>\_Z9"!#97$$!2u0,6:#HZN!#<$"2Q<0<!>g<6!#97%7$$!1>2y>7i@N!#;$"27*[[\#3_:"!#97$$!21G>-yy$yM!#<$"2)3^^]<zW7!#97$$!2bw9^(\0[N!#<$"2N4)[k!>v@"!#97%7$$!22k#H%pr*>N!#<$"2)))e[Dw<b7!#97$$!1ftq0$G+[$!#;$"2769XPA[M"!#97$$!2wa:+h)p[N!#<$"21MKo#yW<8!#97%7$$!1-#[p@b&=N!#;$"2UKO:G`^N"!#97$$!2vz^IyW9[$!#<$"2enj%=n%[W"!#97$$!0(f9p)[#\N!#:$"2[R&)o$fQ<9!#97%7$$!2Od:xzDt^$!#<$"27"f98O8b9!#97$$!1EWG-Un#[$!#;$"2))3aoQm[a"!#97$$!21TwejC(\N!#<$"2#>K(RoJt^"!#97%7$$!1ce'*p([i^$!#;$"2m))Qn\<^b"!#97$$!2L9M+B^P[$!#<$"2M6hK]#)[k"!#97$$!2t/*)o.S,b$!#<$"2DS-ru$G<;!#97%7$$!0C*e:vH:N!#:$"2s\&oET5b;!#97$$!2%f2T%[-Z[$!#<$"2G]9L(e*[u"!#97$$!1r#Hx%e]]N!#;$"22MB54Tsr"!#97%7$$!0(y8i7X9N!#:$"1nSC8H4b<!#87$$!2(H@'yt[b[$!#<$"1Lfv'32\%=!#87$$!1#p)zG/$3b$!#;$"1X8a$*G?<=!#87%7$$!2L!)fXc$p8N!#<$"2_&=u;M3b=!#97$$!1'>SaV1j[$!#;$"2[9eKe;\%>!#97$$!2VT8[O?6b$!#<$"2)H"eP\or">!#97%7$$!2womfB6I^$!#<$"1tF,/`2b>!#87$$!17L.k())p[$!#;$"1Fs)fpC\/#!#87$$!1w:l64Q^N!#;$"2-+(fat8<?!#97%7$$!%DK!"%$""!!""7$$!2(***********\x#!#<$""!!""7$$!1\d#z&yU<H!#;$"%D6!"$7%7$$!2/F,([%Gn=$!#<$"1**H+dMU*[(!#:7$$!2%H()H^:F8G!#<$"/(*Haw0^7!#77$$!1E(=zBbG'H!#;$"2&f8d%>*\&="!#:7%7$$!2ZX"=_(yU8$!#<$"2Z%=QIE#*Q;!#:7$$!1X&=yC@d'G!#;$"2`:='pt2hB!#:7$$!18fuug&e*H!#;$"2)eZP%=]'*>#!#:7%7$$!2%Rv#pT_**4$!#<$"2[x^4"*Rof#!#:7$$!2/YsIeZ+!H!#<$"1D#[!*3gJS$!#97$$!1[MqVPr8I!#;$"0Z[-%3$z>$!#87%7$$!1#pS**GE%yI!#;$"2DwaUI@#yN!#:7$$!2vIf+rt:#H!#<$"2vBXdpy<U%!#:7$$!2F?AZ)3%R-$!#<$"2XJ@*o0+%>%!#:7%7$$!1XD'p$)fT1$!#;$"2MV&*)RLooX!#:7$$!1bu.j,%e$H!#;$"2mc/,m;8V&!#:7$$!21:*HP(o..$!#<$"1>>?awO!>&!#97%7$$!1QV7xL9aI!#;$"1*=>L>BKc&!#97$$!2;mvGice%H!#<$"163o1oxOk!#97$$!2(4Q:prsMI!#<$"1/@sGKO(='!#97%7$$!1wE#\Dpn/$!#;$"1'*)3p&*G)fl!#97$$!1Ct2X2B`H!#;$"1/64V5<Su!#97$$!1,y)yldy.$!#;$"1D1F4=#\=(!#97%7$$!2v#4z#*=8TI!#<$"1)zF&\Jedv!#97$$!1s!4s5o)eH!#;$"1-AZ]oTU%)!#97$$!1Cw5Cs?SI!#;$"16w)4JFH=)!#97%7$$!1DI%*z0pOI!#;$"1U%*)zTBgb)!#97$$!1vp0?%4L'H!#;$"1e0,#ewRW*!#97$$!29-_f4K?/$!#<$"1%pEi0z7=*!#97%7$$!2d._$e_5LI!#<$"1)))=kd(*[b*!#97$$!1kzkTZ*o'H!#;$"276eBC5X/"!#97$$!1l=j$f)[VI!#;$"2vs)\c**)z,"!#97%7$$!2w")*z'Q_,.$!#<$"2XV>Y!fSb5!#97$$!1#=+KhZ)pH!#;$"2bc!Q&4%fW6!#97$$!1TDEwqnWI!#;$"2_E:f3ty6"!#97%7$$!2xC*e9%zw-$!#<$"2YKe#4=Mb6!#97$$!1_2T&e?B(H!#;$"2anT2>eYC"!#97$$!1"y`[ukc/$!#;$"2=8)[fHx<7!#97%7$$!1Ys,x)yb-$!#;$"2Br6jt"Hb7!#97$$!1aF)H7@W(H!#;$"2xG)oj#3ZM"!#97$$!1p^k1#)\YI!#;$"2s"\u3jo<8!#97%7$$!2wzGf)HxBI!#<$"2ZJ$*[)=Db8!#97$$!1-729qAwH!#;$"2`o1^6[ZW"!#97$$!1$R4+w5s/$!#;$"2$e[:R1h<9!#97%7$$!1.KA+T?AI!#;$"1T3-d'>_X"!#87$$!2nzw(**ezxH!#<$"1f"zHM!yW:!#87$$!1@h(f!o#y/$!#;$"29U*3ASa<:!#97%7$$!1n"["H'G3-$!#;$"2xL!**GK>b:!#97$$!1L=&3Pr"zH!#;$"2Bm45x1[k"!#97$$!1.xU@YO[I!#;$"2#yrGZ\[<;!#97%7$$!1")4%R,8'>I!#;$"1-+f!Hr^l"!#87$$!1>!fg)pQ!)H!#;$"1)**4%4(G[u"!#87$$!1Y&o(f"Q)[I!#;$"1$3Tw@Kur"!#87%7$$!1))f!*35`=I!#;$"2jze6)G:b<!#97$$!17S4"**o9)H!#;$"2P?T)=r%[%=!#97$$!2X)=m`#e#\I!#<$"27v;M([Q<=!#97%7$$!1m7W)zhv,$!#;$"2)og_$GP^&=!#97$$!2Ote:?QC)H!#<$"27$RZ;F'[%>!#97$$!0aK'QMj\I!#:$"2ngEq8Ut">!#97%7$$!1-xol')o;I!#;$"21MLO&R7b>!#97$$!1)H7VL6L)H!#;$"2%fmOYg([/#!#97$$!21dG'H0(*\I!#<$"2\C!HsLI<?!#97%7$$!%DF!"%$""!!""7$$!%vA!"%$""!!""7$$!2%\d#z&yU<C!#<$"%D6!"$7%7$$!14^YOKL*p#!#;$"1$zZd#fx7z!#:7$$!1"*[`jnm+B!#;$"22ADuSA(37!#:7$$!2Gua]`PHX#!#<$"2v3)e!4li<"!#:7%7$$!2Og`)*4(RbE!#<$"2we\h\mXn"!#:7$$!1'RY,!HgWB!#;$"2CT]Q]LaK#!#:7$$!2DCshU]O[#!#<$"2Gh=A^Gr>#!#:7%7$$!1"oO$f$R3i#!#;$"2P^RQF1/i#!#:7$$!2#>LmS1;zB!#<$"1'[ghs$fzL!#97$$!1<?y0F5.D!#;$"1U1hbds*>$!#97%7$$!1ESLhI&pf#!#;$"/@?y1#Rf$!#77$$!2U(fmQp/.C!#<$"/zz@$zgS%!#77$$!1'[-KPz^^#!#;$"1k5z$[-v>%!#97%7$$!28qtwP#H!e#!#<$"1'4tv4G'zX!#97$$!2()HEBi2(>C!#<$"1/pU->P?a!#97$$!1UA10-3BD!#;$"1G*3vL<W>&!#97%7$$!17e4e8DoD!#;$"1O&z_$G?rb!#97$$!2y=/>k[<V#!#<$"1k/skrzGk!#97$$!1*G!4kAbGD!#;$"2m%\'>z)[">'!#:7%7$$!1pGRx&G#fD!#;$"1iUB*4rec'!#97$$!1JrgA9xSC!#;$"1Qdw+*GTV(!#97$$!20a2q(*HD`#!#<$"1a*=53M*)=(!#97%7$$!2NqsG/^Ab#!#<$"1KT<dAIiv!#97$$!2iHFr&*[xW#!#<$"1oe#Gu(pP%)!#97$$!1mg!)[n`ND!#;$"1#*QYL]v'=)!#97%7$$!2Y@#))p/rYD!#<$"1s&)4*)R!)f&)!#97$$!1&y<,`*G`C!#;$"1G9!4,'>S%*!#97$$!0EFAN#)y`#!#:$"1X'>'z:!\=*!#97%7$$!2;S3Ah7Aa#!#<$"19qy=0*zb*!#97$$!2%)f"z(Q(ydC!#<$"2')H@"[4?W5!#97$$!0>^Epf(RD!#:$"2wDNr"=L=5!#97%7$$!1MC*R&G\QD!#;$"2u6"fBMmb5!#97$$!1mv+Yr]hC!#;$"2E))3kdOV9"!#97$$!2C'z-KVHTD!#<$"2mE$3.c>=6!#97%7$$!1.)49)yOND!#;$"2:M7rUfb:"!#97$$!1(>!f=@jkC!#;$"2&ew)GdSWC"!#97$$!1$>rG:rDa#!#;$"2Q*3%)>v2=7!#97%7$$!2X3:Z52F`#!#<$"2y]&3&)zZb7!#97$$!2b"\G&*GHnC!#<$"2A\9\,AXM"!#97$$!1)zamU\Oa#!#;$"1Qb>pV(zJ"!#87%7$$!1>f%H=:/`#!#;$"2W,qP/8aN"!#97$$!203aq"[epC!#<$"2c)*Hi&peW9!#97$$!10nZ4<dWD!#;$"2#))\u0O)yT"!#97%7$$!1&oWE*4UGD!#;$"2wM:[Wg`X"!#97$$!2aJbt+z:Z#!#<$"2Cl%=b&RYa"!#97$$!2;g!o+$p`a#!#<$"1$=y$*>.y^"!#87%7$$!1K!*Qe/nED!#;$"2/*pidsJb:!#97$$!1o4hT&HLZ#!#;$"2'4IPUFoW;!#97$$!2bx-&3d1YD!#<$"2%o\"=_Jxh"!#97%7$$!2tsQ'o<7DD!#<$"2V%R**p8Gb;!#97$$!2FFh8By[Z#!#<$"2d01+j=Zu"!#97$$!1a6^<*yma#!#;$"2.%Hjdsm<<!#97%7$$!2;l+l5UP_#!#<$"2nF@"H7Db<!#97$$!2%[$*\$*yDwC!#<$"2Lsy3x[Z%=!#97$$!2DM#37HAZD!#<$"2$fM%eL4w"=!#97%7$$!1J/On`]AD!#;$"2Y?JKnD_&=!#97$$!2"p&REj%\xC!#<$"2azonKuZ%>!#97$$!1n/]C(3xa#!#;$"2l\tv(ob<>!#97%7$$!1="*RM0R@D!#;$"1;AM>Q?b>!#87$$!2A)3gl%4'yC!#<$"1%yd1='zW?!#87$$!2j,)Rr^9[D!#<$"2U5Dg:4v,#!#97%7$$!%DA!"%$""!!""7$$!2-+++++]x"!#<$""!!""7$$!2&\d#z&yU<>!#<$"%D6!"$7%7$$!2bu!\%RY$3A!#<$"1TD\Xt'4I)!#:7$$!2ZD4bg`;z"!#<$"2fu]aE.*p6!#:7$$!1(o'zFuxW>!#;$"24$GdPb_m6!#:7%7$$!2cE.,nqV<#!#<$"0CDc#og:<!#87$$!2Zt'*)H$Hc#=!#<$"0wuV<$R%G#!#87$$!2XS1dKd:(>!#<$"23s:x,a:>#!#:7%7$$!28mgfP3C9#!#<$"1%>l%4Xg^E!#97$$!1R$RSi"fd=!#;$"11[`!\&R[L!#97$$!228&>rtG"*>!#<$"2PjCx!41*>$!#:7%7$$!1jF*oT3w6#!#;$"2%zQ)Hhojh$!#:7$$!2rB2Je"R#)=!#<$"217;qQJOQ%!#:7$$!2n!oAGJz/?!#<$"2&onja?f*>%!#:7%7$$!2YS[^$e3*4#!#<$"10wGi^)ff%!#97$$!2cf^[;94!>!#<$"1&R7x$[,/a!#97$$!2O=#z6'QT,#!#<$"1G<EJ7"y>&!#97%7$$!2vg+UWK^3#!#<$"2W$40V[X$e&!#:7$$!2FR*zbv'[">!#<$"1m!\p:XlT'!#97$$!1T,%*=c#3-#!#;$"1A*)y.IV&>'!#97%7$$!2WWOG?(Ru?!#<$"1wrU9;Jvl!#97$$!1cN;(z-c#>!#;$"1CGd&Q)oCu!#97$$!2)z3u>KyD?!#<$"1[tdWQ0$>(!#97%7$$!2(z)ee)z%f1#!#<$"/#*>#\j(pv!#77$$!207TT,_S$>!#<$"/3!y]O-V)!#77$$!2(*4H.\x&H?!#<$"1#eukKl3>)!#97%7$$!2Q0s!eh:f?!#<$"0ZsUgJec)!#87$$!2k%z#>%Q%3%>!#<$"0`FdRoTV*!#87$$!2<k[3\hD.#!#<$"1iy]lB"*)=*!#97%7$$!27$[2[Of`?!#<$"1r?&43_Hc*!#97$$!1p^#>N1k%>!#;$"2Hz/>z/P/"!#97$$!2)p#y<!G'\.#!#<$"2WC**ey=(=5!#97%7$$!2Err+;j*[?!#<$"2PLl%H%yg0"!#97$$!2wGG*Ro.^>!#<$"2jmM0d@R9"!#97$$!2lzY`5Lp.#!#<$"1`F];oc=6!#87%7$$!2Zrd!3O0X?!#<$"28nFXP6f:"!#97$$!2bGU>RY\&>!#<$"2(GBZD')3W7!#97$$!2NI\*zmdQ?!#<$"2;EUfkK%=7!#97%7$$!2`Zj=$=rT?!#<$"2HP6$R+yb7!#97$$!1Dl8o")Ge>!#;$"1F')og*>UM"!#87$$!273'QQs'*R?!#<$"2`s)[bPJ=8!#97%7$$!2$R"G(GW#)Q?!#<$"2%eHd*)\nb8!#97$$!1h=Frb<h>!#;$"2;/F/,DVW"!#97$$!1%GM3>e6/#!#;$"2ii^s$z?=9!#97%7$$!1F$yU'eIO?!#;$"2bd*)Hp*eb9!#97$$!2Ln@d8%pj>!#<$"2XU5qI5Wa"!#97$$!2(fgs#4*=U?!#<$"14=z6L6=:!#87%7$$!28-:A`!4M?!#<$"1dNO;&>bb"!#87$$!1z\yn%4f'>!#;$"1Vkj$[![W;!#87$$!2o!pB7)*3V?!#<$"2l,>"*HG!=;!#97%7$$!2&[jIUt7K?!#<$"2Y5)*G5hal"!#97$$!2<l$pdE(y'>!#<$"2a*=5(*)QXu"!#97$$!2(y*G[H$)Q/#!#<$"2DWBmd^zr"!#97%7$$!2_Jz#ffPI?!#<$"1u#4U(>Tb<!#87$$!1&o?2/C'p>!#;$"1E2zD!)eW=!#87$$!01:5W(eW?!#:$"2U'o2P?)y"=!#97%7$$!2P'f+TT!)G?!#<$"2k*QMp-Pb=!#97$$!2l.%**ee>r>!#<$"2O5c1tHY%>!#97$$!2a.Q%4k@X?!#<$"2'f!>8v=y">!#97%7$$!2/*zfAeQF?!#<$"2xoW'pXLb>!#97$$!2)4?SxThs>!#<$"2BJb.VlY/#!#97$$!1XC!*Q:yX?!#;$"2o"[tO4w<?!#97%7$$!%D<!"%$""!!""7$$!%v7!"%$""!!""7$$!2$\d#z&yU<9!#<$"%D6!"$7%7$$!2'fZw7uW9<!#<$"1wL%3ZW!Q')!#:7$$!2-CNse_bG"!#<$"2Cm:Hb&>O6!#:7$$!2Xr<v'\KQ9!#<$"2T>hVu0s:"!#:7%7$$!2'H4&eYK**o"!#<$"2u(H)*zxue<!#:7$$!2.2\T`n+J"!#<$"2E-<+A_7C#!#:7$$!2oaO]s`/Y"!#<$"1;?JLF]$=#!#97%7$$!2eI`J94Hm"!#<$"2`G9r?4'*o#!#:7$$!1%pYo&34P8!#;$"1:d)Gz!R5L!#97$$!1Hy#GE8!z9!#;$"18`,]SO&>$!#97%7$$!2x@fTm!=R;!#<$"2vK&*zVDkk$!#:7$$!2AySeL>3O"!#<$"2Dn/?cuNN%!#:7$$!2i%>O%G>J\"!#<$"1Y$p_qZ$*>%!#97%7$$!1z:P@#4*>;!#;$"1Jlak#G#>Y!#97$$!23UG'y24!Q"!#<$"1pMXN<x!Q&!#97$$!2,KidI"f.:!#<$"2&oc2,Ip*>&!#:7%7$$!2(y"o!pWc/;!#<$"1E?/Jma,c!#97$$!27#=$4`NaR"!#<$"1uz&*oLX)R'!#97$$!1T$Q"RGV6:!#;$"1>*H)f&4&)>'!#97%7$$!2t%=1l.J#f"!#<$"1\T#o!eh*e'!#97$$!2E:Q\j*o29!#<$"1^e<$>%Q5u!#97$$!1"f&o#H@u^"!#;$"1r1xo4w'>(!#97%7$$!1Jb(Q`8Ce"!#;$"1R$*z8LF"e(!#97$$!1pW7mke<9!#;$"1h1?'oE(=%)!#97$$!2ue]c6'4A:!#<$"0<_@9u[>)!#87%7$$!2#4T4V,Ju:!#<$"1c_v\1Dv&)!#97$$!22*e!p&)*oD9!#<$"1WZC]$\ZU*!#97$$!2K[W,zAe_"!#<$"0TmzoKI>*!#87%7$$!2XS,&4Jen:!#<$"0P)=o'z2d*!#87$$!2af)\!*oTK9!#<$"1j6=L?#H/"!#87$$!23"Gs)R])G:!#<$"2y^hk*48>5!#97%7$$!2M$pXJf#>c"!#<$"2CQ&oCztc5!#97$$!2l1V&oS2Q9!#<$"2wh9`2iK9"!#97$$!2W3vQc^8`"!#<$"2O4.(GH(*=6!#97%7$$!1caF%)>6d:!#;$"2vU-U"QZc6!#97$$!2QaCd,))GW"!#<$"2Dd(z&=ENC"!#97$$!2=9[%f$[M`"!#<$"26cOl:H)=7!#97%7$$!2#z.r)zrHb"!#<$"2%[v[$*[Ec7!#97$$!22i*G,#GqW"!#<$"2<X7l5NPM"!#97$$!1Lf&e!*G_`"!#;$"2'zp]=))p=8!#97%7$$!2kx!fmpP\:!#<$"1e4ejp4c8!#87$$!2NA4M.B1X"!#<$"1U!>k..RW"!#87$$!2`*e'f2en`"!#<$"22pV]q!e=9!#97%7$$!2svT#p)Gia"!#<$"2nCrt1gfX"!#97$$!2FCe28rPX"!#<$"2LvGE$*RSa"!#97$$!29Loz]%3Q:!#<$"2EOY$RNZ=:!#97%7$$!1yzTl2XV:!#;$"2uQm)pq%eb"!#97$$!1A?eM#\lX"!#;$"2EhL,$H:W;!#97$$!2oblOGX#R:!#<$"1vT!G5w$=;!#87%7$$!1ZzI!>#)4a"!#;$"2()*HCeFvb;!#97$$!2G0#p4y,f9!#<$"28+d<CZUu"!#97$$!2#*f/*3"p-a"!#<$"1@l@&G(G=<!#87%7$$!2<pxe%\xQ:!#<$"2jpBqDtcv"!#97$$!2#3B7a]Ah9!#<$"2PIwHuEV%=!#97$$!2)\%)4;&y6a"!#<$"2jnK*)41#==!#97%7$$!2wLe\>!zO:!#<$"2)[tHRcgb=!#97$$!2BmT]!)4KY"!#<$"27l-2O%RW>!#97$$!1&pLmT"*>a"!#;$"2_SLinJ"=>!#97%7$$!212v(Gj*\`"!#<$"2c2TGmZb&>!#97$$!2#H\ArO+l9!#<$"2W#*erL_W/#!#97$$!21!yI8AsU:!#<$"2KGZ&fK1=?!#97%7$$!%D7!"%$""!!""7$$!1,+++++]x!#<$""!!""7$$!1%\d#z&yU<*!#<$"%D6!"$7%7$$!2#zJ%4q>%=7!#<$"1f]Mz.m>*)!#:7$$!14#o0*H!e"y!#<$"2T\l?'R.36!#:7$$!/ab$*)pML*!#:$"2Q)QJUp&)[6!#:7%7$$!26">hZ&y;?"!#<$".DK(H\+=!#67$$!0*3)Q_9K)z!#;$".vn-2&*>#!#67$$!1%yC28\#4&*!#<$"2#Hc^=e0u@!#:7%7$$!2EP%*)**zp!="!#<$"211,wUr=t#!#:7$$!1vi0,+-$>)!#<$"0%*)Rs&G"oK!#87$$!1<:&z+A?n*!#<$"0Px-y[()=$!#87%7$$!2ny^s%y&*f6!#<$"1$p%y8*GNo$!#97$$!1M@[F:U+%)!#<$"12`@'3rkJ%!#97$$!1J%Gg(Qc3)*!#<$"1$G&[#z>h>%!#97%7$$!2&fXC9L[T6!#<$"1nP`v,5]Y!#97$$!11Wbdo;&e)!#<$"1LiYC)**)\`!#97$$!1VLO))*["=**!#<$"1H:J[/:*>&!#97%7$$!0mZ2IVd7"!#:$"1Ant@=$oi&!#97$$!1,M_#*pcU()!#<$"1yKEy"oJP'!#97$$!2@P'3G)*\+5!#<$"1tW&=j>)*>'!#97%7$$!2**GK'QNa76!#<$"1t=Nb)Q.h'!#97$$!1-rn8Ycu))!#<$"1F"[Y9h'*Q(!#97$$!2M')=Rf0u+"!#<$"1Z"o*fCF*>(!#97%7$$!/$fzP'\,6!#9$"1fFiIeQ)f(!#97$$!1,qS?i.&)*)!#<$"1TsPpTh,%)!#97$$!2c9d'*)Q&H,"!#<$"1/7)y[N")>)!#97%7$$!2%*QJd[4A4"!#<$"19()o+^_*e)!#97$$!12hoU^!z2*!#<$"1'G6$**[Z5%*!#97$$!2/W&Q_'pu,"!#<$"11]5<Qu'>*!#97%7$$!29:Ci@XV3"!#<$"0K)yVZ"Ge*!#87$$!1([ex$yac"*!#<$"1o6iD&=</"!#87$$!2A/;S`%>@5!#<$"2-'*4)Hu_>5!#97%7$$!12_5i*Hw2"!#;$"2_0xRCjx0"!#97$$!1Jz%*y.qB#*!#<$"2[%H-cnBU6!#97$$!2=[$)\t1V-"!#<$"2$e*y5&=Q>6!#97%7$$!1&*o@/r%=2"!#;$"2F=uV*eNd6!#97$$!00Jy&*G:G*!#;$"2t"ei0TkU7!#97$$!2`%)yt:Qp-"!#<$"2io9.?U#>7!#97%7$$!2VkS;JEo1"!#<$"2tpO]fIqD"!#97$$!1eNf$)otJ$*!#<$"2GIj\SpHM"!#97$$!2)>El[t=H5!#<$"193TT06>8!#87%7$$!2e8G-]LC1"!#<$"2nBr_6nnN"!#97$$!1V'=x*\mv$*!#<$"2LwGZ)GBV9!#97$$!1>3N/)G6."!#;$"23UnXf()*=9!#97%7$$!2Q40$yDce5!#<$"2wgmT)4bc9!#97$$!1j!\p@uVT*!#<$"2CRLe,\Ma"!#97$$!2"H$4ua>G."!#<$"2NRTeOt)=:!#97%7$$!2%Q'Gr+H^0"!#<$"2)G4*Rmrjb"!#97$$!1<OrG*4([%*!#<$"2724gLGOk"!#97$$!2c$yjuPIM5!#<$"2%R$4b\n(=;!#97%7$$!2y5__)[1_5!#<$"2sUwKN@il"!#97$$!1B*yu9^$z%*!#<$"2GdBnkyPu"!#97$$!2N]Ro:;c."!#<$"2U]Q:Xp'=<!#97%7$$!2O.?XA:$\5!#<$"2G"oz(=%4c<!#97$$!1l'*zax%o]*!#<$"2s=.A"e!R%=!#97$$!2%)z^U?%yO5!#<$"1xwhO'y&==!#87%7$$!2nv5(H^$o/"!#<$"2$H]\(p&)f&=!#97$$!1MC*Gq[;`*!#<$"22(\]-V,W>!#97$$!2`8A/)*Hy."!#<$"2c$*RkW%\=>!#97%7$$!2(GO&[l(eW5!#<$"17$>5V#*e&>!#87$$!19PY^M7a&*!#<$"1)o!)*ov5W?!#87$$!2X;U#e8xQ5!#<$"2m+4.I;%=?!#97%7$$!1,+++++]s!#<$""!!""7$$!2/++++++v#!#=$""!!""7$$!1%\d#z&yU<%!#<$"%D6!"$7%7$$!1Z_9'3$R4s!#<$"/1eO\#*["*!#87$$!2PvaQ"pg!z#!#=$"0%>M1v5&3"!#87$$!2/(\y$=lbH%!#=$"2;Q3"GIqT6!#:7%7$$!1%f0mq5'*4(!#<$"2B7a#*yU#Q=!#:7$$!2dS%R$H*Q+H!#=$"2x(eu5svh@!#:7$$!1#*p8`gmJW!#<$"2.O^qPVV;#!#:7%7$$!1(H[*3!o"[p!#<$"1>zW[_'[x#!#97$$!2Nq^5*>$=0$!#=$"213_:vM^A$!#:7$$!1^hdDbYmX!#<$"2$z'HY**H+=$!#:7%7$$!1CQQ+KQ#y'!#<$"29f6-'\ODP!#:7$$!1whh*z;w@$!#<$"2'3%)yR]juU!#:7$$!1_R$[!==*o%!#<$"1ioBJn!**=%!#97%7$$!1t>X_]n?m!#<$"1*)*og!=&yo%!#97$$!1G![v%\KzL!#<$"165$R>[@J&!#97$$!2%GP!Q3=az%!#=$"1kD#\<)e&>&!#97%7$$!1*e!pI')Hsk!#<$"21(Hq/crfc!#:7$$!18%4$p8qFN!#<$"2%HqH&R%GSj!#:7$$!1jjj(fS])[!#<$"1EGN#)\\)>'!#97%7$$!1-jt:')RSj!#<$"0KpGwn&Qm!#87$$!2&)pjUQ,'fO!#=$"0oIrBK9O(!#87$$!1wo.I5))f\!#<$"1a/%4(4m*>(!#97%7$$!2%R&[7c(*[A'!#=$"1JVk&4GDi(!#97$$!1h9vQC5vP!#<$"1pcN/>Zx$)!#97$$!1vJ)R.=B-&!#<$"17NNsAx*>)!#97%7$$!1)G;nPEV7'!#<$"0%Q-;3@5')!#87$$!2Dr$GBOnvQ!#=$"0;wR=*y*Q*!#87$$!2'zxy!)Hiu]!#=$"1i[H)*RE*>*!#97%7$$!1,&*Q%y'yOg!#<$"1yt9D=i+'*!#97$$!/0h:K@jR!#:$"2AE&[<y$*R5!#97$$!20#)[y8N(=^!#=$"2c=`cgS)>5!#97%7$$!1JzzU_Rgf!#<$"2#))*RsK0$f5!#97$$!1p??dZgRS!#<$"2=,gFn%pS6!#97$$!1o,Ba0Bc^!#<$"2nc<USO(>6!#97%7$$!1sJ5A$eM*e!#<$"201/]'**pe6!#97$$!2'Go*ynTl5%!#=$"2&Rf*\.+8C"!#97$$!21p[=ei$)=&!#=$"2DVl)zQi>7!#97%7$$!0Ab98@X$e!#;$"1"\,Ep4#e7!#87$$!1"yW&o)ya;%!#<$"14&)R2.zT8!#87$$!1kZB(=?h@&!#<$"2%[ll<"4&>8!#97%7$$!11xFW4O#y&!#<$"27*f#Q+3yN"!#97$$!1%HAd0Rw@%!#<$"2)3S<'*>>U9!#97$$!20e*3BMGS_!#=$"1i!*RJdR>9!#87%7$$!2vy$G"[gft&!#=$"2V#fjh`Zd9!#97$$!18ir=&RSE%!#<$"2d2k$QY_U:!#97$$!120,J)p9E&!#<$"2:mUX!eG>:!#97%7$$!1*z?7QwWp&!#<$"2Ar5W=(>d:!#97$$!2:?z(=O_0V!#=$"2yG*e:G!Gk"!#97$$!2'3A7%=r,G&!#=$"2Bi]:Z!=>;!#97%7$$!1&=paI4sl&!#<$"2uQKRXipl"!#97$$!1:3`%p!zUV!#<$"2EhngaPIu"!#97$$!29tR&e=y'H&!#=$"2#))eFz-3><!#97%7$$!13E2GzdBc!#<$"2<u<\uinv"!#97$$!2DRF>2AkP%!#=$"2$eA3bsBV=!#97$$!2Y@X&40i6`!#=$"1)fgIT&)*==!#87%7$$!1d3s>s4$f&!#<$"21wK9a"fc=!#97$$!2M9z-y-pS%!#=$"2%Rsce%3M%>!#97$$!1,*4feY\K&!#<$"1>K-Re*)=>!#87%7$$!1sT_$pg`c&!#<$"2a7&**\PWc>!#97$$!1HeZ1$RYV%!#<$"2Y([+]ibV?!#97$$!2u:)oJH(pL&!#=$"2ohsRR6)=?!#97%7$$!$D#!"%$""!!""7$$"$D#!"%$""!!""7$$"1k]U2U@d#)!#=$"%D6!"$7%7$$!2%pO&Rz1^A#!#=$"1**Q"='zYK$*!#:7$$"2%pO&Rz1^A#!#=$"2,h=Q?`n1"!#:7$$"121TbUWJt!#=$"2K62w"HvN6!#:7%7$$!21fZ<94^:#!#=$"2X9&\^Mpq=!#:7$$"21fZ<94^:#!#=$"2b&[][lIH@!#:7$$"0diU&\k#H'!#<$"1>3&zJ4_:#!#97%7$$!2'*)Rk'QB=0#!#=$"23/-_*eL:G!#:7$$"2'*)Rk'QB=0#!#=$"2#fzz/Tm%=$!#:7$$"2&[Qh)*)H;A&!#>$"2X\4-bg.<$!#:7%7$$!2YA`G3f$H>!#=$"18w05pZoP!#97$$"2YA`G3f$H>!#=$"1(QU**3B:B%!#97$$"0F!oWTY'=%!#<$"2E=qt)RV"=%!#:7%7$$!#=!"$$"$t%!""7$$"#=!"$$"$F&!""7$$"1^+%fOr2B$!#=$"1,"*[ql3*=&!#97%7$$!1Ch0H=Ts;!#<$"1)*)p2(e'*)p&!#97$$"1Ch0H=Ts;!#<$"1-,BHT.,j!#97$$"11<JpBhuB!#=$"0>xJH'4%>'!#87%7$$!2X.Jz8C<b"!#=$"1$[M5$z8um!#97$$"2X.Jz8C<b"!#=$"1<b'*o?'eK(!#97$$"1)Q5eia8i"!#=$"1=?9ZM<(>(!#97%7$$!2(z]C**[TS9!#=$"1"="=C/Iaw!#97$$"2(z]C**[TS9!#=$"1>)=ed*pX$)!#97$$"1#*=YD-&*['*!#>$"12!\#)4))))>)!#97%7$$!2(4z!*))>ER8!#=$"1l[*HE*RQ')!#97$$"2(4z!*))>ER8!#=$"1N^+P2gh$*!#97$$"28mM6v@"\R!#?$"1#p7p(fm*>*!#97%7$$!2cw1:Wv![7!#=$"0(zantdD'*!#87$$"2cw1:Wv![7!#=$"1._CjAWP5!#87$$!2OQz^kX++"!#?$"26$4B77)*>5!#97%7$$!2X-57')yh;"!#=$"2"p+e(4;:1"!#97$$"2X-57')yh;"!#=$"24$*>C!R[Q6!#97$$!1lfK'3&f2`!#>$"1%yvw*R&*>6!#87%7$$!2@#>:&f'p#4"!#=$"24`uD#Hmg6!#97$$"2@#>:&f'p#4"!#=$"2"paUxqLR7!#97$$!0'*)>r'p22*!#=$"2"*eN2p**)>7!#97%7$$!2(>;4dCrE5!#=$"2oUtT@e*f7!#97$$"2(>;4dCrE5!#=$"2KdEeyT+M"!#97$$!2W50F#*=tB"!#>$"2FOx!*QG)>8!#97%7$$!1Dy#)eb]t'*!#=$"1BHlw7Pf8!#87$$"1Dy#)eb]t'*!#=$"1xqMB(G1W"!#87$$!1)y>,vO&G:!#=$"1Eh=ypu>9!#87%7$$!1sD?'[:"Q"*!#=$"2&)37.[y)e9!#97$$"1sD?'[:"Q"*!#=$"2:"zo>:7T:!#97$$!2zf5*[wh'y"!#>$"2PXZJ8g'>:!#97%7$$!1ah%Q:YQl)!#=$"2%Q:YQ:Ye:!#97$$"1ah%Q:YQl)!#=$"2;YQ:YQ:k"!#97$$!2MGnS2ck,#!#>$"2rZW3,r&>;!#97%7$$!1l_T)RpW@)!#=$"2@3og?1"e;!#97$$"1l_T)RpW@)!#=$"2z">$Rz$*=u"!#97$$!1nid6$=@A#!#=$"2iwT\s"[><!#97%7$$!1l3.1Id9y!#=$"2NVndI,yv"!#97$$"1l3.1Id9y!#=$"2lcKUp)>U=!#97$$!1p:sXx)pS#!#=$"275$GrOR>=!#97%7$$!1AV:VNZ\u!#=$"2/-/3+Qv&=!#97$$"1AV:VNZ\u!#=$"2'zf>**>YU>!#97$$!2P&)p:t()Qd#!#>$"2VwG6v2$>>!#97%7$$!1`)y`tC^6(!#=$"1Fxe^#4t&>!#87$$"1`)y`tC^6(!#=$"1tAT[2pU?!#87$$!2xh(>\J=DF!#>$"2%3<yCXA>?!#97%7$$"2/++++++v#!#=$""!!""7$$"1,+++++]s!#<$""!!""7$$"12Du?9sDe!#<$"%D6!"$7%7$$"1N=<Mu>lF!#<$"16p^.-'yZ*!#:7$$"1m"Gec-[B(!#<$"2*3$['zR@_5!#:7$$"2'Gs(3ow[v&!#=$"2e*fg&*>!48"!#:7%7$$"2[%Ggnh+4G!#=$"2'ouDP">w*=!#:7$$"1brRKQ*4>(!#<$"29`UF'3Q-@!#:7$$"1zSHG34wc!#<$"1$o:y;Ar9#!#97%7$$"1>-clOiwG!#<$"1r%=j:o6&G!#97$$"1#yRWLwL7(!#<$"1H:oV=$)[J!#97$$"1[,CRB@$f&!#<$"1tq!H@)ygJ!#97%7$$"2%[_*omn:'H!#=$"2OzGj2'\4Q!#:7$$"1_Z5LBVQq!#<$"2k?rO#R]!>%!#:7$$"1XErp)[*4b!#<$"1lA)o8M=<%!#97%7$$"2(*\_ndYr0$!#=$"1$G()[jNIx%!#97$$"1,vCBM&G%p!#<$"1<F6lV'pA&!#97$$"1dh-sqHHa!#<$"2'Q=G5dV!=&!#:7%7$$"1%ei^[Dv:$!#<$"2C**4HH9<u&!#:7$$"1;u$[^uC%o!#<$"2w+!42dGei!#:7$$"2u6q,h2LN&!#=$"0pE&*H6p='!#87%7$$"1E"oOo>#eK!#<$"1*\(RE]8:n!#97$$"1v=L;.yTn!#<$"1,Dgt\'[G(!#97$$"1C[=N+8$G&!#<$"0_/G%3j">(!#87%7$$"1hrN9E8cL!#<$"1'*4F]6u#p(!#97$$"0%Gk&QnQk'!#;$"1/!H(\)esI)!#97$$"17L9))[?>_!#<$"1%*QOkM&\>)!#97%7$$"2:yiUpX$\M!#=$"1zIN(GMRn)!#97$$"1>st0Vl]l!#<$"1@pk7d1E$*!#97$$"2l/`JH)[h^!#=$"1Un<!p%>(>*!#97%7$$"1bn"[8Ho`$!#<$"12%G`TW"e'*!#97$$"1XK=l3<jk!#<$"2$frYeb=M5!#97$$"1JTkTck4^!#<$"2Y3i+_h)>5!#97%7$$"2M%f?*fp"=O!#=$"221f-P'[k5!#97$$"1dSz+/$=Q'!#<$"2$R4uHO^N6!#97$$"20')oM$Q>j]!#=$"2xfGI?U*>6!#97%7$$"1E"zWK_Lp$!#<$"2G"ehVdOj6!#97$$"1u3_vwk1j!#<$"2s=%QcUjO7!#97$$"1ye@&*[f@]!#<$"2\AY^ax*>7!#97%7$$"2k&R4.DgiP!#=$"2,7d0C;CE"!#97$$"1Wg!p\(RPi!#<$"0)GWfPeP8!#77$$"1#))Q5<7V)\!#<$"2a?:)\(z*>8!#97%7$$"2kH(H+pFEQ!#=$"2kQ&H[zgh8!#97$$"1/Fq*4BP<'!#<$"2Oh/<0#RQ9!#97$$"2m"*yF#3%3&\!#=$"1/C#3,e*>9!#87%7$$"1*o'RELz%)Q!#<$"2x+>wU;4Y"!#97$$"29J.On1_6'!#=$"2B*4QsN3R:!#97$$"2D/:#H?s?\!#=$"1<l*z?>*>:!#87%7$$"1l&**ft'eQR!#<$"2i./\y@.c"!#97$$"2cV+SE891'!#=$"2Q'f4:#y'R;!#97$$"1K<B(\ZN*[!#<$"2$4=Fn%o)>;!#97%7$$"1-+n?K3))R!#<$"2)*e7%Ry!)f;!#97$$"1)**H$zn">,'!#<$"2-T(eg@>S<!#97$$"2vh8ufe*o[!#=$"2xt:jf4)><!#97%7$$"1#ynKi&oLS!#<$"23AiZTh$f<!#97$$"1>AtwVJmf!#<$"2#zxB&eQ1%=!#97$$"0UnnyUm%[!#;$"2m**ykTX(>=!#97%7$$"1eu"=[md2%!#<$"0-,Tvr*e=!#77$$"1UD==NBCf!#<$"0)*)*eCG5%>!#77$$"147#z))Gj#[!#<$"1"[*p7!y'>>!#87%7$$"1\O:eam9T!#<$"1%zJf/I'e>!#87$$"2:NY=aM`)e!#=$"11#oS&*p8/#!#87$$"116e0@y2[!#<$"2ccv.#*3'>?!#97%7$$"1,+++++]x!#<$""!!""7$$"%D7!"%$""!!""7$$"22Du?9sD3"!#<$"%D6!"$7%7$$"1W&zf`a#fx!#<$"1vyj_dF#f*!#:7$$"2d/-kauSA"!#<$"2D@OZUs2/"!#:7$$"2nym#ff8x5!#<$"2$oA>N-+F6!#:7%7$$"1Ed;jwM'y(!#<$"2&HfE>6W>>!#:7$$"2wU$oL_O@7!#<$"202M2))e03#!#:7$$"2)>F"*o$o62"!#<$"2u*3#GqY-9#!#:7%7$$"0QmQ*zRHy!#;$"1f@***p6:)G!#97$$"2@O81?gq@"!#<$"1Ty++$)[=J!#97$$"21&)[!*HZ[1"!#<$"1VRQ,Q,_J!#97%7$$"1LGJzjl&)y!#<$"0DmAH5h%Q!#87$$"2oro?OM9@"!#<$"0vLxq*)Q:%!#87$$"2<-'z6vNe5!#<$"1j@3\F>iT!#97%7$$"1rWH2v%>&z!#<$"1#)4d0!pO"[!#97$$"1`0F\_![?"!#;$"1=!HW*4L'=&!#97$$"2OYk2bp=0"!#<$"1=X$Gt$yq^!#97%7$$"1j.T)G'3D!)!#<$"1AT0rxQ%y&!#97$$"2Q'*e6P"\(>"!#<$"1ye%*GAh:i!#97$$"2V*H3'HDb/"!#<$"2cK>\jsy<'!#:7%7$$"1bQwHg=-")!#<$"1t.`/FFen!#97$$"2YhBqR"y*="!#<$"1F'paHF<C(!#97$$"2G6">]9VR5!#<$"11^bX:g$=(!#97%7$$"0LY"Q?$3=)!#;$"19DVD&)=Nx!#97$$"2sO&='z;>="!#<$"1'[nXZ6[E)!#97$$"1c:>>(fO."!#;$"1V@lX39)=)!#97%7$$"1;/];w8f#)!#<$"19"=$p1"\r)!#97$$"2&e*\$Qi3u6!#<$"1')=oI$*3&G*!#97$$"2Fc9>F^#G5!#<$"0GhBGn;>*!#87%7$$"1m(o*H!>dL)!#<$"1K**ep(orp*!#97$$"2N7.q4Gk;"!#<$"2o+TI7$GI5!#97$$"2t8ZQ4BK-"!#<$"23C`j#\V>5!#97%7$$"1w"[&*fE'4%)!#<$"2%RP[iy;o5!#97$$"2E=X+MP!f6!#<$"21E;v8K=8"!#97$$"2V5E=^u&=5!#<$"2pMUr&Qj>6!#97%7$$"1^XR'>g-[)!#<$"1&z:PK;o;"!#87$$"1X0O!)R(>:"!#;$"10UGwO=L7!#87$$"2^%*z]#HH95!#<$"1^)=now(>7!#87%7$$"0wu:m'GZ&)!#;$"2AR)*z]OcE"!#97$$"2T_UQLr_9"!#<$"2yg,?\jVL"!#97$$"2<P(Hp$e.,"!#<$"2YMv<`u)>8!#97%7$$"1GV8+zc5')!#<$"2xQPp?0YO"!#97$$"2tc')*4K%*Q6!#<$"2BhiIz%RN9!#97$$"2r7&*=!pu15!#<$"21Ys**fO*>9!#97%7$$"1$)[U!f-,n)!#<$"2G"p5S>qj9!#97$$"2=^d4u*)H8"!#<$"2s3$*)f!)HO:!#97$$"2=pV3(HV.5!#<$"2QfuRTq*>:!#97%7$$"0pyh?")fs)!#;$"2)oQ%**))3Hc"!#97$$"268#Qz=SF6!#<$"278c+6"4P;!#97$$"2x8=R)4R+5!#<$"2YUK-1#)*>;!#97%7$$"1-4[pDNy()!#<$"29ezAq5Am"!#97$$"0">0VZ;A6!#:$"2'=/s(H*yP<!#97$$"1'Gh#oG'f(**!#<$"2CS?%Hk(*><!#97%7$$"1U%QPr*RF))!#<$"2e!*QmA%fh<!#97$$"1chiG+E<6!#;$"2U4hLx0%Q=!#97$$"1l=!QCd-&**!#<$"2b$)GCVd*>=!#97%7$$"0^Wo#HKt))!#;$"2lad7C[5'=!#97$$"2"\bJ2xm76!#<$"2NXU(e<&*Q>!#97$$"1Zmj!>zl#**!#<$"2m@jg=G*>>!#97%7$$"1"o"*e:Gj"*)!#<$"2'e))3)=j0'>!#97$$"1K3T%=n$36!#;$"2996>"oVR?!#97$$"1@b@`Ot/**!#<$"1'zp#o6*)>?!#87%7$$"%v7!"%$""!!""7$$"%D<!"%$""!!""7$$"21Du?9sDe"!#<$"%D6!"$7%7$$"2KNH/oibF"!#<$"0%R9^*\>o*!#97$$"2nkq&>tVC<!#<$"11c)[+0=."!#97$$"2M3$*)>+Ry:!#<$"2nf%f#p!*Q7"!#:7%7$$"1#y;hsDsF"!#;$"1TQ_I8'o$>!#97$$"1=K)QFuFs"!#;$"1fhZp'QJ1#!#97$$"2\!e<&*H'Qd"!#<$"1&yemAeX8#!#97%7$$"238H_;<*z7!#<$"2Gj>q?Ok!H!#:7$$"1p3xMG3?<!#;$"2sO!)HzjN4$!#:7$$"2j"*p28s!p:!#<$"2_,s49yV9$!#:7%7$$"2K42SSENG"!#<$"1b;WOTHxQ!#97$$"2n!H*fftkr"!#<$"1X$eN'eqAT!#97$$"1>.;F[5k:!#;$"2ErD8HoK:%!#:7%7$$"2&))e$**4;zG"!#<$"2%oA&)))zs\[!#:7$$"296k+!R37<!#<$"2;tZ6,s-:&!#:7$$"2DAjg4[!f:!#<$"1%Q%Qp)*=h^!#97%7$$"2bu=qANHH"!#<$"1Rpe[6%R#e!#97$$"2WD")Hxkqq"!#<$"1hIT^)eg<'!#97$$"2)eI9&y#)Rb"!#<$"2cmy'[P9oh!#:7%7$$"2'QuR%>J%)H"!#<$"1G08S)\+!o!#97$$"28c-c!)o:q"!#<$"1s%p)f,&**>(!#97$$"2E@n8Uz*[:!#<$"1)*zsrN;ur!#97%7$$"1,jL^&fUI"!#;$"1)fy;-$4yx!#97$$"1*pj'[/u&p"!#;$"1-9Kyp!>A)!#97$$"2-K&4')e4W:!#<$"1$GPnE2$z")!#97%7$$"19lZP1H58!#;$"0j&[Mm/e()!#87$$"1'[BDO4(*o"!#;$"0P9bO`>C*!#87$$"2t%*)obnPR:!#<$"1X*RJ\[O=*!#97%7$$"1G>zSKT;8!#;$"1k>Fm#R)R(*!#97$$"1s!3#fne$o"!#;$"2O!GPtg,E5!#97$$"2&HT,<R&[`"!#<$"2F'[V1ps=5!#97%7$$"2-[S-xNDK"!#<$"2mqs]qOB2"!#97$$"2'>&f(HUYx;!#<$"2MHF\Hjw7"!#97$$"2y5J&**zaI:!#<$"2@5]$*GD!>6!#97%7$$"2FX%*3j&eG8!#<$"287N2l]3<"!#97$$"2sa0"pVTr;!#<$"2(y[E\$\"H7!#97$$"1'z$f4-ZE:!#;$"2_f$Qf"o#>7!#97%7$$"2LhjkZ2XL"!#<$"2_b*=yC^p7!#97$$"2lQON_#\l;!#<$"2[W5=_([I8!#97$$"23g1=DCE_"!#<$"2k.K%fJY>8!#97%7$$"1WqR&*3ES8!#;$"28sCxs3$o8!#97$$"2e&Hg/"R(f;!#<$"2(y_Fs7pJ9!#97$$"2oHc?83!>:!#<$"2.0;'\sh>9!#97%7$$"2xy1M$z"eM"!#<$"2c**=pHEsY"!#97$$"2A@$fm?=a;!#<$"2W+"3.PxK:!#97$$"1hW=Jdh::!#;$"1XB2Omt>:!#87%7$$"2au<7rg6N"!#<$"1Ty:$y_ic"!#87$$"2XD#y)GR)[;!#<$"1f@%o@ZPj"!#87$$"2Wy*Q2"QC^"!#<$"1umOkn#)>;!#87%7$$"2Ys;:GziN"!#<$"2F#GA"ow`m"!#97$$"2`F$[=2sV;!#<$"2t<x(=LiM<!#97$$"2U"ooHXY4:!#<$"2VsLTN#*)><!#97%7$$"2ezCvyp6O"!#<$"1kIgvuek<!#87$$"1/_Z7-$)Q;!#;$"1OpRCDTN=!#87$$"2U$e2pKo1:!#<$"2xOrsXP*>=!#97%7$$"1/jGLH$eO"!#;$"2U*o;gc(Q'=!#97$$"1'p8n1nTj"!#;$"2e5L)RV7O>!#97$$"2O#p^%=#3/:!#<$"2P'p?Fb'*>>!#97%7$$"2mzGdus-P"!#<$"2G,i/rKK'>!#97$$"2K?rUDF(H;!#<$"2s)z`*Gnn.#!#97$$"1YMhU"\;]"!#;$"2E&)f4\z*>?!#97%7$$"2-+++++]x"!#<$""!!""7$$"%DA!"%$""!!""7$$"22Du?9sD3#!#<$"%D6!"$7%7$$"2a+mqyT`x"!#<$"1,Q^'ee?v*!#:7$$"2[*R$H@eYA#!#<$"2*>'[89%zC5!#:7$$"2;z$*GWZ$z?!#<$"0V49CG97"!#87%7$$"2(*Hky(yNw<!#<$"2Pz^m*fj]>!#:7$$"21qN@7UOA#!#<$"2j?[L+k$\?!#:7$$"2_9FxJ.f2#!#<$"1#R!GBq$*H@!#97%7$$"2$z/(*\6-y<!#<$"2YLH-p/l#H!#:7$$"1@&H+&)y>A#!#;$"2amq(4`\tI!#:7$$"1t!)o/lFs?!#;$"1"4r,Fhz8$!#97%7$$"2sH/pf)G!y"!#<$"2;>s,B2I!R!#:7$$"1.d4.9r>A!#;$"2%3y#)pF*p4%!#:7$$"2a3dz>2&o?!#<$"2%[H3;3XXT!#:7%7$$"2[*>(GI/Jy"!#<$"2')3A#)z7.)[!#:7$$"2a+Grp&*o@#!#<$"29"zx,so>^!#:7$$"29(zjlqjk?!#<$"1fDOJ:P_^!#97%7$$"2nmt"QIS'y"!#<$"1R`GC(f&ee!#97$$"2NLE='pf8A!#<$"1hYrv-WTh!#97$$"2UMSuL221#!#<$"2'48al_qeh!#:7%7$$"1MWJaS6!z"!#;$"1a?uyK&y$o!#97$$"2jc&oXf))4A!#<$"1YzD@n9ir!#97$$"1*pgf8dn0#!#;$"1sU(*f([W;(!#97%7$$"1LFc(pkTz"!#;$"1c%=v"eE=y!#97$$"2tEPCINe?#!#<$"1W:[#=M<=)!#97$$"2yX'oo@#G0#!#<$"1j8#yy6'p")!#97%7$$"2a`#3_N[)z"!#<$"1EQt_)Q)*z)!#97$$"2[Y<zW;:?#!#<$"1uhEZ6;+#*!#97$$"2iBPL$Q$*[?!#<$"1*4!eA[@u"*!#97%7$$"2;***RRH+.=!#<$"1c@I%\'e#y*!#97$$"2'3+ggq*p>#!#<$"2Wyp0NT<-"!#97$$"29a#zI(=^/#!#<$"2(>G`_'Gy,"!#97%7$$"1hd#Grgw!=!#;$"1z72p*\m2"!#87$$"2#RU<(GRB>#!#<$"1@(G4.]L7"!#87$$"2%\"fm`)RT?!#<$"2l(*>"Hh==6!#97%7$$"2299_P,C"=!#<$"2*G(*=w]:v6!#97$$"2&feyC')f(=#!#<$"26F5Q#\%[A"!#97$$"2$fgnd,zP?!#<$"1=,q-x\=7!#87%7$$"1#GL"3m<<=!#;$"2<8zFypPF"!#97$$"1=n'=RBG=#!#;$"2$o3A<-BE8!#97$$"29)f3"41V.#!#<$"2D+ShKn(=8!#97%7$$"2nSG2LX>#=!#<$"2"oN1')))[s8!#97$$"2Nfr#pY0y@!#<$"2>VOR66vU"!#97$$"2n"4d4\&4.#!#<$"1Y]$G'*)**=9!#87%7$$"0jZITtm#=!#:$"19LU?lIr9!#87$$"2-P_peEL<#!#<$"1'ow&zMpG:!#87$$"2j.lj!=uF?!#<$"2sx!*=Z'>>:!#97%7$$"2e$R/fJLJ=!#<$"2nOm'\k@q:!#97$$"2W1c4%omo@!#<$"2LjL.b$yH;!#97$$"2%*zD.:pY-#!#<$"20!GrENO>;!#97%7$$"23"o8cE!f$=!#<$"2[OH+I7#p;!#97$$"2%*=jQM(4k@!#<$"2_jq**p(yI<!#97$$"28s()e,P<-#!#<$"1O.-iN]><!#87%7$$"2$4Tym]OS=!#<$"2Fj(eQxGo<!#97$$"1"*e@L\jf@!#;$"2tO79E7<$=!#97$$"2o0fgmV*=?!#<$"12MzV(>'>=!#87%7$$"2nIWn"zqW=!#<$"2:KgSgOu'=!#97$$"2NpbK3#Hb@!#<$"2&y'RfRjD$>!#97$$"2w$p7xfG;?!#<$"28!f&o&\r>>!#97%7$$"2`O!o;C#*[=!#<$"2V!\%y*Hlm>!#97$$"1N'>Lex5:#!#;$"2d4b@+ZL.#!#97$$"2jD89!)fP,#!#<$"2Z(oQ0=z>?!#97%7$$"%vA!"%$""!!""7$$"%DF!"%$""!!""7$$"1^U2U@d#e#!#;$"%D6!"$7%7$$"2em%G!\2_F#!#<$"1Z\+.wy1)*!#:7$$"1M`r4DzCF!#;$"2`]*pR7K>5!#:7$$"2&fG"3%33!e#!#<$"2836W!p[>6!#:7%7$$"23E8Q`EeF#!#<$"1M_'f$RYh>!#97$$"1Rn=mM<CF!#;$"1mZ.kg`Q?!#97$$"28)*em!=XxD!#<$"1(>8"z*Gi7#!#97%7$$"2VyJX+ZoF#!#<$"2C<Gn.fC%H!#:7$$"1;#oa*H:BF!#;$"2w#=Fj4adI!#:7$$"0ciWp,Zd#!#:$"1bdP+LpKJ!#97%7$$"2#ovoJDDyA!#<$"1iU'R%>wBR!#97$$"2:V7$ouu@F!#<$"1Qd.c!Qi2%!#97$$"2Fv`su[=d#!#<$"1hPNK@&)QT!#97%7$$"23qEF@@+G#!#<$"1p!eL`ia!\!#97$$"2%*Htsyy*>F!#<$"1J>kmu`%4&!#97$$"2L@_uB7*oD!#<$"2l_*3VMoW^!#:7%7$$"2me5e_E@G#!#<$"1\];o2k()e!#97$$"2MT*=uM(yr#!#<$"1^\$=BfB6'!#97$$"2%fFk$*="fc#!#<$"1"G.![6<]h!#97%7$$"2sk#fq$QXG#!#<$"0^M-Ml.(o!#87$$"2DN2%H;Y:F!#<$"0\l(fYjHr!#87$$"2vT^([t'Gc#!#<$"1O@B)30`:(!#97%7$$"2['[ciTA(G#!#<$"1O`g%)Gp`y!#97$$"1N^VPex7F!#;$"1kYR:rIY")!#97$$"2wge-k(zfD!#<$"1)>!pr23g")!#97%7$$"2d_!46*\,H#!#<$"1Ef%eunw$))!#97$$"1u%4*)3])4F!#;$"1uS:aALi"*!#97$$"11tO&y?nb#!#;$"1'[-)>*)\k"*!#97%7$$"1C3OA7G$H#!#;$"1.f"eBAB#)*!#97$$"1w"Rwx=nq#!#;$"2(4%=kxnx,"!#97$$"2C$4:XMl`D!#<$"1MJ9([co,"!#87%7$$"2#)e&[$=%e'H#!#<$"2$exiHxw!3"!#97$$"17W^;eT.F!#;$"2<Cs.FK#>6!#97$$"0rHHo51b#!#:$"2z5m(*yGs6"!#97%7$$"29o;-5E+I#!#<$"2l[ZmMu$z6!#97$$"2%=Ly**Q(**p#!#<$"2N^_LlD1A"!#97$$"19H[9egZD!#;$"2Dr%yZ!ov@"!#97%7$$"2c_]i2wNI#!#<$"2Mz9a?_!y7!#97$$"2ZZ\P#RU'p#!#<$"2m?&e%zZ>K"!#97$$"0/H=M]Ya#!#:$"1B<-ed(yJ"!#87%7$$"1;'[^V0sI#!#;$"2A$=fT1!oP"!#97$$"1%Q^[c%z#p#!#;$"2y;3%e$*>B9!#97$$"1lWVeRvTD!#;$"2nh-")f`"=9!#97%7$$"2nRWe*z)3J#!#<$"2)3&\mK=cZ"!#97$$"1.c:/?6*o#!#;$"27\]Ln"QC:!#97$$"1)pc<hC*QD!#;$"2M-MYO.%=:!#97%7$$"2/g*G>-g9B!#<$"2)G]F&R.Xd"!#97$$"2'*R52y*R&o#!#<$"27(\s/m\D;!#97$$"2/Z'o3'oh`#!#<$"2#fW6>pi=;!#97%7$$"2xH6tC@$=B!#<$"2kA#fkNXt;!#97$$"1-()o_(y;o#!#;$"2Ox2aVYls"!#97$$"2;58.v!\LD!#<$"2n7RA9E)=<!#97%7$$"28H`d&G.AB!#<$"2m\C@CmCx"!#97$$"14nCWr'zn#!#;$"2M]vyvLv#=!#97$$"2$yY2%[%*3`#!#<$"2-#=i'*G+>=!#97%7$$"17*>JM>dK#!#;$"2&G#33iQ:(=!#97$$"1)3!)ol!GuE!#;$"2:x">z8YG>!#97$$"2'e6Rj?QGD!#<$"2Q,%\(**e">>!#97%7$$"2o4pQPn$HB!#<$"1(en/wn1(>!#87$$"1.48EEjqE!#;$"18C`RALH?!#87$$"1*H<qqaf_#!#;$"2b**R1>'H>?!#97%7$$"2(***********\x#!#<$""!!""7$$"%DK!"%$""!!""7$$"1^U2U@d#3$!#;$"%D6!"$7%7$$"2m.Ox"f7vF!#<$"1JO.I9Z\)*!#:7$$"1jRE#3u[A$!#;$"2pj'*p&G0:5!#:7$$"1R*RZKW13$!#;$"2.)*\%[7'z6"!#:7%7$$"2([gH1C]vF!#<$"2.My&*oW*p>!#:7$$"1^Rq$f(\CK!#;$"2(f;U5`0I?!#:7$$"1/Ca^3jyI!#;$"16u,9(yK7#!#97%7$$"1OZ$oqDhx#!#;$"2li,Q?U]&H!#:7$$"2OElJHuQA$!#<$"2NP)>'zd\/$!#:7$$"2FrRuHRl2$!#<$"1`$Qn3O%GJ!#97%7$$"2XI6(p'*)px#!#<$"1:b9.wGSR!#97$$"2`p)GI.,BK!#<$"1&[aoR7(fS!#97$$"29'f&*3zPuI!#<$"1:&Hj&)=M8%!#97%7$$"2wfv1#f3yF!#<$"1K<"RTEd#\!#97$$"1-WKzS">A$!#;$"1o#)3'etU2&!#97$$"10B7]a:sI!#;$"21^TB]9#Q^!#:7%7$$"2<Ey63/%zF!#<$"1)Q\^6,9"f!#97$$"1Q<#)=ff?K!#;$"171&[)))f)3'!#97$$"1mchR5))pI!#;$"1evxCE"G9'!#97%7$$"2N![tJ?$4y#!#<$"0&4B"f]t*o!#87$$"1'>l#oz1>K!#;$"00p(3%\E5(!#87$$"1u%zc)RcnI!#;$"18"4L,0s9(!#97%7$$"2Z3dd?cEy#!#<$"1Z*>lq4O)y!#97$$"1:HC%zVt@$!#;$"1`+[$H!R;")!#97$$"2OpC^i8_1$!#<$"1u;XccQ^")!#97%7$$"2/W*p+>c%y#!#<$"0o#[3!4-())!#87$$"2$f0I*4Qa@$!#<$"0K<:*4zH"*!#87$$"1B@.s"RG1$!#;$"0&f%\p]`:*!#87%7$$"1_aq$fLmy#!#;$"12'z(eX<d)*!#97$$"1[XH1kO8K!#;$"2$R?7WDG95!#97$$"1a/!3e\/1$!#;$"2)z@fK)4f,"!#97%7$$"1uf0]_&))y#!#;$"291$e)y_W3"!#97$$"1ES%*\Z96K!#;$"2'QpT6sa:6!#97$$"1G/-FM0eI!#;$"19#3m'GE;6!#87%7$$"2'H=U91@"z#!#<$"2U6XZgGK="!#97$$"0<ybQ*y3K!#:$"2e)[D&Rrn@"!#97$$"14$=%3)ec0$!#;$"2o**3$eVf;7!#97%7$$"2ES+qZ$o$z#!#<$"2["4')yh/#G"!#97$$"1(f**H_;j?$!#;$"2_3R6#Q&zJ"!#97$$"2vv1pEtK0$!#<$"1B0Y]Y!pJ"!#87%7$$"1v)\)3zD'z#!#;$"2F`?xP14Q"!#97$$"2Y7]64UP?$!#<$"2tYzAi$4>9!#97$$"1zEpJP!40$!#;$"2%Q*39A%><9!#97%7$$"2D7QHY=*)z#!#<$"23i%***o4)z9!#97$$"1x=1P:3,K!#;$"2#z`+5.>?:!#97$$"1u*yC[c&[I!#;$"2m#*pTmju^"!#97%7$$"1CXWR.l,G!#;$"2x$z1givy:!#97$$"2cZb0m\$)>$!#<$"2B1K*RPC@;!#97$$"2;x#4JrBYI!#<$"2c9Zdm8xh"!#97%7$$"1a")e:&RW!G!#;$"1&=vW#fux;!#87$$"2d%=T%[gb>$!#<$"1:[_vSDA<!#87$$"1L\Q>1&R/$!#;$"21Lps)\%zr"!#97%7$$"2%4qkTGF2G!#<$"2Eax%\#ynx"!#97$$"2/*HNers#>$!#<$"2uXA0v@K#=!#97$$"1#)G'4B,</$!#;$"1>#*RX%e"==!#87%7$$"1[J'e5Q,"G!#;$"28WQ&oD&e(=!#97$$"1_o8%*=')*=$!#;$"2(e:YJu9C>!#97$$"0'f@9E\RI!#:$"2F;N`*[N=>!#97%7$$"2u!HhrS-8G!#<$"1_Ip=!o\(>!#87$$"2C4(QGf(p=$!#<$"1[pI")>.D?!#87$$"1)GOT"yKPI!#;$"2iZ0c@N&=?!#97%7$$"2'***********\F$!#<$""!!""7$$"%DP!"%$""!!""7$$"22Du?9sDe$!#<$"%D6!"$7%7$$"2D$z>)Rw]F$!#<$"1J$>iTUF))*!#:7$$"1n?!=gB\s$!#;$"2p1y$eds65!#:7$$"2Cv3^Qy5e$!#<$"1lkG0]w;6!#97%7$$"0$4qE^IvK!#:$"2LBw9Lsl(>!#:7$$"02*Ht[pCP!#:$"2nwB&owUB?!#:7$$"1D_)eqJ&zN!#;$"1P?U$4X47#!#97%7$$"2uP5^z%ovK!#<$"2BRVg(y"\'H!#:7$$"1A'*)[?:Vs$!#;$"2xgcR7#3NI!#:7$$"2%fBZlb$zd$!#<$"2)GvK'HK]7$!#:7%7$$"0p"37J@wK!#:$"1>F*R+ML&R!#97$$"2&4$=z)oyBP!#<$"1"G2g*fmYS!#97$$"1z"[ep$HwN!#;$"1wtur#>!HT!#97%7$$"1T'4M#p)oF$!#;$"2&)Ho79V=%\!#:7$$"2'e.fwI6BP!#<$"2:qJ(eo:e]!#:7$$"2u%*3y05Yd$!#<$"1ivum$**G8&!#97%7$$"2<m3OE-xF$!#<$"11*3B!oYIf!#97$$"1Q8ROxHAP!#;$"1%4"p(>L&pg!#97$$"1YB%fz))Gd$!#;$"1=^aommOh!#97%7$$"2nRg$>WlyK!#<$"1[Dt,aA>p!#97$$"1.'R1eX8s$!#;$"1_uE)fu23(!#97$$"2Wf.=>M6d$!#<$"1:P*=/;.9(!#97%7$$"2.3&)G+Q(zK!#<$"1od+!4Q"3z!#97$$"1>\6(*>E?P!#;$"1KU**4>'=4)!#97$$"2%[xW;1NpN!#<$"1j_q_J%Q9)!#97%7$$"2ZWtI.Z4G$!#<$"1iTq:EA(*))!#97$$"1bl#p'H0>P!#;$"1QeH%QxF5*!#97$$"2%*)yV$[Uvc$!#<$"1$fK!yWCZ"*!#97%7$$"1tu4A]F#G$!#;$"1^m+;_\'))*!#97$$"1FD!z(\s<P!#;$"2\L*Ry/N65!#97$$"1c=P.UrlN!#;$"1H^HI<0:5!#87%7$$"01+_1:PG$!#:$"2WR5O0(f(3"!#97$$"2%R**zM\G;P!#<$"2cg*QYHS76!#97$$"0kc39qQc$!#:$"1%4C0(fO:6!#87%7$$"2CGQ9$*f_G$!#<$"2h"*Gx:ml="!#97$$"1<<co+u9P!#;$"2R3rA%QV87!#97$$"1*3=Zd9?c$!#;$"1dj!H0nc@"!#87%7$$"1(35L:-pG$!#;$"2"fvEnzb&G"!#97$$"18**oYy48P!#;$"24WKF.UWJ"!#97$$"1mP2i;:gN!#;$"2%eh!\$\&fJ"!#97%7$$"2u*RT8Tj)G$!#<$"29Oy)[Md%Q"!#97$$"1-ge')eO6P!#;$"2'Q;7^lU:9!#97$$"2VIGnS&GeN!#<$"2;bWEkHiT"!#97%7$$"1="el7[/H$!#;$"1fv10Mh$["!#87$$"29)=Wt=b4P!#<$"1TC$\f'Q;:!#87$$"13B=K'>kb$!#;$"2s`reE"\;:!#97%7$$"21&*Hg^OBH$!#<$"2eL!zy%yEe"!#97$$"1\+(R[jwq$!#;$"2Um47_@th"!#97$$"1OdQfzbaN!#;$"2PNmC&*Rnh"!#97%7$$"2C7XIo"H%H$!#<$"2.sE)f"p<o"!#97$$"1x[&pJ3dq$!#;$"2(zK<S3B=<!#97$$"2&p4A*y.Fb$!#<$"20<DE!f(pr"!#97%7$$"2(=apohI'H$!#<$"2N%fi#z&)3y"!#97$$"1"e/8$Qp.P!#;$"2l0ut?9">=!#97$$"1>Td*Gg3b$!#;$"11\)GO*><=!#87%7$$"0*=+3FP)H$!#:$"2Z[1`eG+)=!#97$$"2(4")*>HF;q$!#<$"2`^$p99(*>>!#97$$"1"G[nQI!\N!#;$"2(ow6?1T<>!#97%7$$"1&HPfF%[+L!#;$"2=b4&>w>z>!#97$$"2ZqiSs:&*p$!#<$"2#[/\!Q-3-#!#97$$"1H2*3w;sa$!#;$"1NNh&**4w,#!#87%7$$"%vP!"%$""!!""7$$"2/+++++]A%!#<$""!!""7$$"1^U2U@d#3%!#;$"%D6!"$7%7$$"1Bm8Zj/vP!#;$"1tQ-,vm3**!#:7$$"2uPjGl`\A%!#<$"2Fh(*)\K845!#:7$$"10m-xMT"3%!#;$"2obMJhGe6"!#:7%7$$"1%\!*o@&=vP!#;$"2$e7fwZu")>!#:7$$"11&4Jy9[A%!#;$"2<u3MAb#=?!#:7$$"2<&>!pEA-3%!#<$"1"))pm#o5>@!#97%7$$"1\i0'4;ax$!#;$"2&\WP'GXE(H!#:7$$"2;vVR!ReCU!#<$"20bDOrat-$!#:7$$"29i.45+!zS!#<$"2&GeT%yIB7$!#:7%7$$"1V;8N"Qdx$!#;$"1W')R[$zN'R!#97$$"1d$o['=ECU!#;$"1c8g^1UOS!#97$$"1"[1Wn[x2%!#;$"2Yog*[o\DT!#:7%7$$"0&\&p:]hx$!#:$"0aLr#yba\!#87$$"200XI%)\QA%!#<$"0YmG<Ua/&!#87$$"2mksuxpk2%!#<$"1MHw@;gG^!#97%7$$"1hhbo1lwP!#;$"17I%*=8fXf!#97$$"1RQWJ$\LA%!#;$"1))p0"o3W0'!#97$$"21j[DGl^2%!#<$"1Jmdg>kJh!#97%7$$"2ZL!*f(yBxP!#<$"1,3>#4!pOp!#97$$"1m'4S7iFA%!#;$"1*>4y!*4L1(!#97$$"2w!\`Jr$Q2%!#<$"1$=:S*\hMr!#97%7$$"2XCo=q4zx$!#<$"1ld$=.ky#z!#97$$"1c<8)H!4AU!#;$"1NU;of8s!)!#97$$"2bzECK([sS!#<$"0')=J8=v8)!#87%7$$"1s_D0QmyP!#;$"18I;*eA">*)!#97$$"2(GZu%>O8A%!#<$"1()p$3Tx33*!#97$$"2C?Gd*y6rS!#<$"1#Q`)z!\.9*!#97%7$$"1m^d.w\zP!#;$"0[wrtu/"**!#87$$"2X$[U'R-0A%!#<$"1_BGED&*35!#87$$"21IP3#4tpS!#<$"1TGD$e5V,"!#87%7$$"1/<8'H3/y$!#;$"2%*)\?$*G>!4"!#97$$"1'HoQq"f>U!#;$"21,&z1r!)46!#97$$"2mu&f#[G$oS!#<$"2-P=)o'yX6"!#97%7$$"1n%[)))GR"y$!#;$"1<,43$\$*="!#87$$"2L`^662'=U!#<$"1$))4>p]1@"!#87$$"1&H"=oE"p1%!#;$"1jX?C!R[@"!#87%7$$"1=Z#)>#[Cy$!#;$"2hU-;X<&)G"!#97$$"2EGv,y^v@%!#<$"2Rd(R[D[68!#97$$"2w43Xb&[lS!#<$"29e?%Q:4:8!#97%7$$"1pJJ&)4d$y$!#;$"2&H'ev*zp(Q"!#97$$"2;$oo9!Hk@%!#<$"20PTC+-BT"!#97$$"1O.G'>\S1%!#;$"2ahr$HhL:9!#97%7$$"2L:UdwdZy$!#<$"10!o!f:*o["!#87$$"1ZyDMAC:U!#;$"1&*>$4W3J^"!#87$$"2`(R#[h0E1%!#<$"22$H.VFd::!#97%7$$"1V$H900gy$!#;$"2K^^yo)4'e"!#97$$"2ulq&[\*R@%!#<$"2o[[@J,Rh"!#97$$"210*z(yc61%!#<$"2)eST_8!eh"!#97%7$$"1,^mn#4ty$!#;$"2N!Q9u)>`o"!#97$$"2%**[LK2p7U!#<$"2l>ce7!o9<!#97$$"2W!>()RYqfS!#<$"2EfSj&>-;<!#97%7$$"14&z))zm')y$!#;$"2;HRrabXy"!#97$$"1"\?6?L8@%!#;$"2%32'GXWa"=!#97$$"1#z.W.^#eS!#;$"1H@3yXB;=!#87%7$$"2FRY;,u+z$!#<$"0CPf21Q)=!#77$$"13ON))f#*4U!#;$"0wiS#R>;>!#77$$"1Y+>mxzcS!#;$"2aBbQERk">!#97%7$$"1;*=jFF:z$!#;$"2t5O4xrI)>!#97$$"1%3"oBFZ3U!#;$"2F*Q1H#Gp,#!#97$$"1EIEblMbS!#;$"2='*H73Om,#!#97%7$$"%vU!"%$""!!""7$$"2.+++++]s%!#<$""!!""7$$"1^U2U@d#e%!#;$"%D6!"$7%7$$"2Y:xV6G]F%!#<$"1'R@JTk)G**!#:7$$"2c%Gi&)=(\s%!#<$"2/'yoeN625!#:7$$"2'e*='HEn"e%!#<$"2<@%\Gl4:6!#:7%7$$"2DF<VR7^F%!#<$"2'z%[C@yd)>!#:7$$"2xs#o0w)[s%!#<$"2/_^vy@U,#!#:7$$"2C\V8<`2e%!#<$"1f"H#=Im<@!#97%7$$"2/RS1l__F%!#<$"2jk*GB1oyH!#:7$$"0hf$\tuCZ!#:$"2PN5nP>8-$!#:7$$"2Zd4/]9)zX!#<$"2'zg8:w>?J!#:7%7$$"22Mb$p&[aF%!#<$"2Y&H+W*)frR!#:7$$"2&fYkI9bCZ!#<$"2a/(*f0,%GS!#:7$$"0*)=3Rd)yX!#:$"2N4E@a)pAT!#:7%7$$"29=1Or*pvU!#<$"1Jwh&QQX'\!#97$$"1>QR'G+Vs%!#;$"1pBQ9;YN]!#97$$"1t1FaE)yd%!#;$"1NcC0T;D^!#97%7$$"1mSOEb+wU!#;$"2Ot563/v&f!#:7$$"1MfjtW*Rs%!#;$"2kE*))=f\Ug!#:7$$"2xc4o8"*od%!#<$"1Y<F*p#fFh!#97%7$$"1TA$QLljF%!#;$"0hhr1,0&p!#87$$"1fx;mYjBZ!#;$"0RQG$*)\\q!#87$$"2CM&H:P)ed%!#<$"1eaq7G)*Hr!#97%7$$"20rB&\$ynF%!#<$"16DsmU`Vz!#97$$"0Hw/l@Ks%!#:$"1*[xKtlk0)!#97$$"2mwFPHh[d%!#<$"1C$H@.LB8)!#97%7$$"1zP'*yOCxU!#;$"1F1as%3m$*)!#97$$"1@i.@jvAZ!#;$"1t$fu_"Rj!*!#97$$"1"4h%*zCQd%!#;$"1^L!f/UY8*!#97%7$$"1eK'\KgxF%!#;$"0u_<LG(H**!#87$$"2CuO]nRAs%!#<$"1EZ#o;Fq+"!#87$$"1yJMz^xsX!#;$"2f>=Z'3p85!#97%7$$"2cq-M>F$yU!#<$"2P!e;L)*G#4"!#97$$"2YH(f1Gn@Z!#<$"2j>Mo;5x5"!#97$$"2YO9eR8<d%!#<$"2nICO<8R6"!#97%7$$"2Xwj%*4V*yU!#<$"2azv'yAh">"!#97$$"1Oi`+p0@Z!#;$"2Y?C8s(Q37!#97$$"1=1+B/kqX!#;$"2E'G@K5897!#97%7$$"29XSUx1'zU!#<$"2)RMr#eS4H"!#97$$"1\&fdA$R?Z!#;$"2-c'G<%f!48!#97$$"1bX$GCd&pX!#;$"1./O_VM98!#87%7$$"1K7mroJ!G%!#;$"2K)>#)Q^F!R"!#97$$"1o(Q$GJo>Z!#;$"2o,y6'[s49!#97$$"1)QO7%[YoX!#;$"2>8Xp0`XT"!#97%7$$"1,=lv>2"G%!#;$"2wZ*>?jh*["!#97$$"1*>[V-G*=Z!#;$"2C_+)zOQ5:!#97$$"1n\Q/UOnX!#;$"2)>=")zqv9:!#97%7$$"1z'ougq=G%!#;$"1jI'*yW'*)e"!#87$$"1@8`#RH"=Z!#;$"1Pp.@b.6;!#87$$"2.z1^Jcic%!#<$"2K7vcOc\h"!#97%7$$"1r\8L7r#G%!#;$"2`(ybX*>$)o"!#97$$"2$H]'ow)G<Z!#<$"2Z7UW0!o6<!#97$$"18$3%\@9lX!#;$"2(=Z'*p3::<!#97%7$$"2d!="4F#f$G%!#<$"2;04$GIo(y"!#97$$"2X>)3HxS;Z!#<$"2%[4prpJ7=!#97$$"28.uJnASc%!#<$"1Thhe0M:=!#87%7$$"2m,U()47XG%!#<$"2&=Q68S0()=!#97$$"2P)zD,z[:Z!#<$"2:=')o)f%H">!#97$$"1d)\!R))*Gc%!#;$"1)f6ySDb">!#87%7$$"1*Q1;1paG%!#;$"20FpK;Lk)>!#97$$"16ORQ4`9Z!#;$"2&H2tOoc8?!#97$$"2j=GNer<c%!#<$"2/OvOS0d,#!#97%7$$"%vZ!"%$""!!""7$$"%D_!"%$""!!""7$$"0Du?9sD3&!#:$"%D6!"$7%7$$"2bL*[`q,vZ!#<$"1:eVDofW**!#:7$$"1l1^YH)\A&!#;$"2&=kX<.a05!#:7$$"1C#yRMt=3&!#;$"2FK*Q*pCX6"!#:7%7$$"1B5q!>o]x%!#;$"2N$fk$)=#*))>!#:7$$"1x*)H4=$\A&!#;$"2l1aj6y5,#!#:7$$"1o)3CNi63&!#;$"1"RQEVJl6#!#97%7$$"2.9a>M`^x%!#<$"2bMXh6*Q$)H!#:7$$"0'e/em%[A&!#:$"2XlaQ)3h;I!#:7$$"1#)H/2&R/3&!#;$"1KzS7$>&=J!#97%7$$"1=mS"Rs_x%!#;$"2DVp9)Q'y(R!#:7$$"1"Q$f3wsC_!#;$"2vcI&=h8AS!#:7$$"1'erI;0(z]!#;$"1<oiyu[?T!#97%7$$"1k@\x^UvZ!#;$"1B_+k'[B(\!#97$$"1Oy]A[dC_!#;$"1xZ*fL^w-&!#97$$"1QeL!pf*y]!#;$"17(R.5NC7&!#97%7$$"2CVFN\6cx%!#<$"1l*eb#f%o'f!#97$$"1oDZ1&)QC_!#;$"1N5WuS:Lg!#97$$"1z;TsM?y]!#;$"1jmVx8OCh!#97%7$$"1&)\[)3Jex%!#;$"1:U$**4e8'p!#97$$"1:]^6*oTA&!#;$"1&yl+!>kQq!#97$$"1N%[c!pVx]!#;$"1,kDUbEEr!#97%7$$"2uSEzm$3wZ!#<$"0pbwe()e&z!#87$$"1$ft?L;RA&!#;$"0JWBT7T/)!#87$$"1`o;)Rgm2&!#;$"1^g0ho9G")!#97%7$$"21#))3&*)ojx%!#<$"1%)\'3vO/&*)!#97$$"1z6"\5JOA&!#;$"1;]8\Kc\!*!#97$$"1MB#)oV(e2&!#;$"1#4T`j/+8*!#97%7$$"20-<@R'owZ!#<$"1$o7%3z+X**!#97$$"1zH)yg8LA&!#;$"2<te"4#*\05!#97$$"0ERhCz]2&!#:$"2:/0.#Q=85!#97%7$$"1:DVTd.xZ!#;$"2@'p6L.'R4"!#97$$"1&[n&eU'HA&!#;$"2z.$)omRg5"!#97$$"1*[AsYvU2&!#;$"29DfRpkL6"!#97%7$$"1())Hs[;ux%!#;$"2E!yvBDU$>"!#97$$"19,x7NeA_!#;$"2u>UiZxl?"!#97$$"1'4_mZjM2&!#;$"2x*H(e-VN@"!#97%7$$"1.-4P"Gyx%!#;$"2W7Y*yv)GH"!#97$$"1(z4H'=<A_!#;$"2c(Q0@C628!#97$$"1%\n`sVE2&!#;$"2k0J8w=PJ"!#97%7$$"2Ea+P;q#yZ!#<$"2C%3")3dN#R"!#97$$"1d%*HO)H<A&!#;$"2w:*="HWwS"!#97$$"1rpapm"=2&!#;$"23V%e\=*QT"!#97%7$$"1P#om+U(yZ!#;$"1E[1<r#=\"!#87$$"1j<L$*zD@_!#;$"1u^$H)G<3:!#87$$"11')[pF)42&!#;$"1>F*QCiS^"!#87%7$$"2..=W2V#zZ!#<$"2jMs1+-8f"!#97$$"0(>eDpv?_!#:$"2PlF$**zp3;!#97$$"0M)\)[U,2&!#:$"2sH^:!*HUh"!#97%7$$"1;,;YFxzZ!#;$"2-_Z&\0y!p"!#97$$"1%))RQDF-A&!#;$"2)zCX]%>#4<!#97$$"1'z!z"H'Hp]!#;$"2$)e.Ry%R9<!#97%7$$"1ho"RPI.y%!#;$"2oV%GYHE!z"!#97$$"1RJ3E'p'>_!#;$"2Kc:P0P(4=!#97$$"1V"3akW%o]!#;$"1i(Qj&ob9=!#87%7$$"2B-'f%G:4y%!#<$"2=S>fO\(*)=!#97$$"1yRS:Z3>_!#;$"2#)f!3M1D5>!#97$$"02i^,)en]!#:$"2#H`F)3;Z">!#97%7$$"2EL)4#yE:y%!#<$"2(4bsv*R#*)>!#97$$"1o;!z@t%=_!#;$"2.\uU-g2,#!#97$$"1KNglosm]!#;$"2F:JJXs[,#!#9-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*THICKNESSG6#""!-&%&_AXISG6#"""6'-%+_GRIDLINESG6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6'-%+_GRIDLINESG6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%%ROOTG6'-%)BOUNDS_XG6#$"#]!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%+R!""-%.BOUNDS_HEIGHTG6#$"%!o$!""-%)CHILDRENG6"
f) Show by hand that your IVP solution satisfies the differential equation.g) Does your IVP solution agree with Maple's exact result? If not show how they can be made to agree.2. 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 a constant.
a) Put this equation into the standard form for a first order linear differential equation. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=b) Evaluate the integrating factor.c) Proceed to solve the differential equation to state the general solution for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInRGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ==, leaving your indefinite integral unevaluated (it requires a special function!).d) If you set LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiUUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHRj0tSSNtb0dGJDYtUSI9RidGPi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGSC8lKXN0cmV0Y2h5R0ZILyUqc3ltbWV0cmljR0ZILyUobGFyZ2VvcEdGSC8lLm1vdmFibGVsaW1pdHNHRkgvJSdhY2NlbnRHRkgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZXRjpGPg==, does it reduce to your result in Problem 1?e) Optional. Use Maple to solve this differential equation with LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiUUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHRj0tSSNtb0dGJDYtUSI9RidGPi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGSC8lKXN0cmV0Y2h5R0ZILyUqc3ltbWV0cmljR0ZILyUobGFyZ2VvcEdGSC8lLm1vdmFibGVsaW1pdHNHRkgvJSdhY2NlbnRHRkgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZXLUY7NiRRIjFGJ0Y+Rj4= and write down the solution. Be sure to sign and date the pledge before handing in this test.solution1 a) general 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b) IVP 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c)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For 4 decimal places: 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d) The exponential goes to zero as LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKCZzcmFycjtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSgmaW5maW47RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUY5:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=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) The characteristic time is the reciprocal of the coefficient 5: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plot with asymptote for 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) one must first combine exponentials as requested by bob since this is a simpler form.hand 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 field plots.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEkZGVxRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiM2LC1GLDYlUSJQRidGL0YyLUY2Ni1RIidGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMTExMTExMWVtRicvRk5RJjAuMGVtRictSShtZmVuY2VkR0YkNiQtRiM2Iy1GLDYlUSJ0RidGL0YyRjktRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSEZKRk0tSSNtbkdGJDYkUSIzRidGOS1GNjYtUSJ+RidGOUY7Rj5GQEZCRkRGRkZIL0ZLRlpGWS1JJW1zdXBHRiQ2JS1GNjYtUS8mRXhwb25lbnRpYWxFO0YnRjkvRjxRJnVuc2V0RicvRj9GX3AvRkFGX3AvRkNGX3AvRkVGX3AvRkdGX3AvRklGX3BGZ28vRk5GWC1GIzYmLUY2Ni1RKiZ1bWludXMwO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZdcS1GYW82JFEiNUYnRjlGZG9Gam4vJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRmRvRlFGZW4tRiw2I1EhRic=Here is the directionfield with and without the initial condition, pretty easy to trace by hand.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRKERFdG9vbHNGJ0YvRjIvRjNRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiOkYnRj0vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkUvJSlzdHJldGNoeUdGRS8lKnN5bW1ldHJpY0dGRS8lKGxhcmdlb3BHRkUvJS5tb3ZhYmxlbGltaXRzR0ZFLyUnYWNjZW50R0ZFLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVA==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) linear approachhandworkstandard linear form: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integrating factor: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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=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setting 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 gives same result obviously. Now for a specific formula: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Ei stands for exponential integral, how logical. See the helppledgeWhen you have completed the exam, please read and sign the dr bob integrity pledge and hand this test sheet in on top of your answer sheets as a cover page, with the first test page facing up:"During this examination, all work has been my own. I give my word that I have not resorted to any ethically questionable means of improving my grade or anyone else's on this examination and that I have not discussed this exam with anyone other than my instructor, nor will I until after the exam period is terminated for all participants."
Signature: Date: