Vector Calculus Theorems Green's, Stokes' and Divergence Frank Rooney, Sergio Loch and Jenny Dorrington In this worksheet we sum up the three big theorems of vector calculus. restart:with(plots):with(LinearAlgebra):

Green's theorem is just the two dimensional version of the fundamental theorem of calculus. The Fundamental Theorem is 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn whereas Greens theorem states thatLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn 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 The fundamental theorem converts integrals into functions and Greens theorem converts double integrals into line integrals. Consider the region R shown below with(plots): X := 5+4*cos(t): Y := 3+2*sin(t): p1 := plot([[X,Y,t=0..Pi], [X,Y,t=Pi..2*Pi]], linestyle=[1,2], color=[blue,red], scaling=constrained): p2 := plot({[[1,3],[1,0]],[[9,3],[9,0]]}, linestyle=2, color=blue): p21 := textplot({[1,-.5,`a`], [9,-.5,`b`], [5,5.5,`h`], [5,.6,`h`], [5.55,5.5,`(x)`], [5.55,.55,`(x)`]},font=[TIMES,ROMAN,10]): p22 := textplot({[5.25,5.28,`2`], [5.2,.35,`1`]}, font=[TIMES,ROMAN,8]): p23 := textplot([3,3,`R`], font=[TIMES,BOLD,14]): display({p1,p2,p21,p22},view=[0..10,-1..6], labels=[x,y], xtickmarks=[0], ytickmarks=[0], labelfont=[TIMES,ITALIC,12]);

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

And consider the integral 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 The last expression is derived using the one dimensional version of the fundamental theorem. Examining the last expression we see that the first term corresponds to the integral of F over the blue curve in the picture, moving from a to b, the second term is the the integral of F on the red curve. It is traditional however to traverse curves in the counterclockwise direction so the last integral comes just 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 Similarly if you consider the integral 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 referring to the picture below with(plots): X := 5+4*cos(t): Y := 3+2*sin(t): p3 := plot([[X,Y,t=-Pi/2..Pi/2], [X,Y,t=Pi/2..3*Pi/2]], linestyle=[1,2], color=[green,red], scaling=constrained): p4 := plot({[[5,5],[0,5]],[[5,1],[0,1]]}, linestyle=2, color=blue): p5 := textplot({[-.5,5,`c`], [-.5,1,`d`], [9.3,3,`k`], [.3,2,`k`], [9.9,3,`(y)`], [.9,2,`(y)`]},font=[TIMES,ROMAN,10]): p6 := textplot({[9.5,2.8,`2`], [.5,1.8,`1`]}, font=[TIMES,ROMAN,8]): p7 := textplot([3,3,`R`], font=[TIMES,BOLD,14]): display({p3,p4,p5,p6,p7},view=[-1..10,-.5..6], labels=[x,y], xtickmarks=[0], ytickmarks=[0],labelfont=[TIMES,ITALIC,12]);

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

Again the last integral is just the sum of the integral of G over the green curve moving from d to c followed by the integral of G over the red curve moving from c to d. So the integral becomes simply 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 Putting the two expressions together gives Green's Theorem 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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn

For the boundary of the square -1<x<1, -1<y<1, evaluate the line integral 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 First : Sketch the curve LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRitGK0YrRis= 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

On the curve C1 x=1, dx =0 and y varies from -1 to 1 On the curve C2 y=1, dy =0 and x varies from 1 to -1 On the curve C3 x=-1, dx =0 and y varies from 1 to -1 On the curve C4 y=-1, dy =0 and x varies from -1 to 1 So the line integral can be written as the sum of four integrals LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY+LUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2MFErJkludGVncmFsO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSVmb3JtR1EncHJlZml4RicvJSdsc3BhY2VHUSQwZW1GJy8lJ3JzcGFjZUdGUi8lKG1pbnNpemVHRi4vJShtYXhzaXplR0YuLUYjNiQtRjk2MFEqJnVtaW51czA7RidGPC9GP1EmZmFsc2VGJy9GQkZpbi9GREZpbi9GRkZpbi9GSEZpbi9GSkZpbi9GTEZpbi9GTlEmaW5maXhGJy9GUVEwbWVkaXVtbWF0aHNwYWNlRicvRlRGY28vRlZRIjFGJy9GWFEpaW5maW5pdHlGJy1JI21uR0YkNiRGZm9GPC1GIzYjRmlvLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lL3N1YnNjcmlwdHNoaWZ0R0ZgcEYrLUklbXN1cEdGJDYlLUYsNiVRInlGJ0YvRjItRiM2Iy1Gam82JFEiMkYnRjxGXnAtRjk2MFEifkYnRjxGaG5Gam5GW29GXG9GXW9GXm9GX28vRk5GLkZQRlNGZW9GZ28tRjk2MFEwJkRpZmZlcmVudGlhbEQ7RidGPEY+RkEvRkRGQEZFL0ZIRkBGSUZLRmFxL0ZRRi4vRlRGLkZVRldGZnAtRjk2MFEiK0YnRjxGaG5Gam5GW29GXG9GXW9GXm9GX29GYG9GYm9GZG9GZW9GZ28tRjY2Jy1GOTYwRjtGPEZobkZqbkZDRlxvRkdGXm9GX29GTUZQRlNGZW9GZ29GXHBGWUZecEZhcEYrLUkobWZlbmNlZEdGJDYkLUYjNiYtRmpvNiRRIjNGJ0Y8LUZkcDYlLUYsNiVRInhGJ0YvRjJGaXBGXnBGZW4tRmpvNiRRIjVGJ0Y8RjxGXnFGYnFGanJGaXFGXHJGK0ZjcEZecUZicUZmcEZpcS1GNjYnRl5yRllGXHBGXnBGYXBGKy1GYXI2JC1GIzYmRmVyRmhyRmlxRl1zRjxGXnFGYnEtRiw2J0Zcc0YvLyUrZm9yZWdyb3VuZEdRLFsyMDAsMCwyMDBdRicvJSxwbGFjZWhvbGRlckdGMUYy which are easily evaluated as 20 On the other hand if we use Green's Theorem we get 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

For the cardioid r = 1+cos\316\270 evaluate the line integral 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 First sketch the contour QyYtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiNJJnBsb3RzR0YlISIiLUklcGxvdEdGJTYnLCYiIiJGMC1JJGNvc0dGJTYjSSJ0R0YoRjBGNDssJEkjUGlHRiZGK0Y3L0knY29vcmRzR0YoSSZwb2xhckdGKC9JKHNjYWxpbmdHRihJLGNvbnN0cmFpbmVkR0YoRjA=

6%-I'CURVESG6$%*protectedGI(_syslibG6"6$7av7$$!3dkvp")\I]8!#=$"33,cb_&[[v)!#>7$$!3x^Qq+7<:f!#>$"3V1SkU%Qz?#!#>7$$!3y7*z\\r)*e*!#?$"3hwFbR:PW8!#?7$$!3FHP)=&=3o)*!#@$"3y2(R"GVN*Q%!#A7$$!323kSz!RqE"!#?$!3Da$esOd$)Q'!#A7$$!3sAHg4mHT5!#>$!3I#e$)fEIF_"!#?7$$!38p!f\8'y%y#!#>$!3_&*3SGY!e"o!#?7$$!30;9-Mz2!3*!#>$!3YvYg:]UBW!#>7$$!3;psoW"zCo"!#=$!3st,"pN)oB8!#=7$$!3M5V(*H*4r.#!#=$!3O%="o'zI5*>!#=7$$!3K<3)*zol9B!#=$!3/-M"4`Ru!G!#=7$$!3.Zdf`3>vC!#=$!3YM3"er//w$!#=7$$!3nEy3&*fj"[#!#=$!31#phXR*3G[!#=7$$!371-+>D:.B!#=$!38G_2O@Yuf!#=7$$!3H+%e+.p]">!#=$!3_xThA"*3nr!#=7$$!3St"z1=F/I"!#=$!3X)>B:&>)HO)!#=7$$!3'\!>p;bq:X!#>$!3O$)e<f'[_^*!#=7$$"3$GR3CfftU&!#>$!3[X[PR&3-0"!#<7$$"3,x"="=t`E<!#=$!3>n4!=;&3P6!#<7$$"3<#oIf;-C3$!#=$!3U2ssXIY37!#<7$$"3&=d*=!pOde%!#=$!3Q#H1gls4E"!#<7$$"3F3?8*3pXE'!#=$!3!)es4HFO#H"!#<7$$"3a,AUoBVF!)!#=$!3w4TF"ROyH"!#<7$$"3!GS)efcjG)*!#=$!38+<RtAhv7!#<7$$"3eG5c@V">;"!#<$!3Zpdn\&*yC7!#<7$$"3ICJ0*>!eS8!#<$!3UH[]QR>U6!#<7$$"3n[nn^&Hr]"!#<$!3'Hs%4EO<I5!#<7$$"3b7_Y:yDc;!#<$!3gD'Q-L8#4*)!#=7$$"3*3e/RwHJy"!#<$!3O(fCR'oPws!#=7$$"3*egO+S*H$)=!#<$!3%*[QjfOO]a!#=7$$"3icbmbt!R&>!#<$!3u'[iY"*HVZ$!#=7$$"3eb)[.D3E*>!#<$!3lDp`]5&>S"!#=7$$"3wG?(H76")*>!#<$"3)y9H_;zX4(!#>7$$"3FT6^:$\*o>!#<$"3?r*o]/+,'G!#=7$$"3;D6^kG]0>!#<$"3F:rlm2rE\!#=7$$"3fHdB[W+5=!#<$"3CvR/N[_\o!#=7$$"33&[JNJ$z&o"!#<$"3yWKC$R4Xd)!#=7$$"33?on`v+c:!#<$"3ae33?u0$*)*!#=7$$"3!ztqmq?2T"!#<$"3)3M*Qi9n*4"!#<7$$"3H?kj,gt`7!#<$"3)>&*e#fal'="!#<7$$"30%H5)3k3*3"!#<$"3p')Q-Ph1\7!#<7$$"3aEISQ(zq**)!#=$"3h^:BD6P*G"!#<7$$"39J;ux7w;r!#=$"3]))oz(e+%)H"!#<7$$"3#yaH1$4C0`!#=$"3vN:Y)G4xF"!#<7$$"3\<UA,Ps7O!#=$"3IN\b(\v)H7!#<7$$"3R;DcRSXw?!#=$"3?ty(**yD!e6!#<7$$"3rlf]'pubQ(!#>$"3KUAs-"Hl1"!#<7$$!3Z8pRzYfgP!#>$"3#e_)>e5E,'*!#=7$$!3g)H9=C0KD"!#=$"3+7'eG.[%Q%)!#=7$$!3FwyE:%p1(=!#=$"3ov)42h))=F(!#=7$$!3Zh.=5@'4F#!#=$"3Ghw/t"zY5'!#=7$$!3U.oVQn2pC!#=$"3,-T^GZKx\!#=7$$!3(flBUxZv[#!#=$"3L0!HYM%GDR!#=7$$!3P'*fluuOe@!#=$"3#*>.!*y;i'H#!#=7$$!3nn=zvP"*R:!#=$"3e3:TX$oa6"!#=7$$!3dV1jlH'f7"!#=$"3'[%y8%4*fgj!#>7$$!3:)e)e*H65K(!#>$"3y#3cVb!\3J!#>7$$!3H(y(yyF6rR!#>$"34lXG*e]+="!#>7$$!3m^H'*y=vB:!#>$"3$)3B+%QVCr#!#?7$$!31SrEV2eWK!#?$"3.*>$z6'eVi#!#@7$$!3%*Q%GFL3u3"!#@$!3*H'y-Ft%Qg"!#B7$$!3qs;08AjHg!#?$!3G@=X^B*>n'!#@7$$!3(fNf\F')H1#!#>$!38sE-Tbi.V!#?7$$!3MZ(\xsqes%!#>$!3,9V&[B>)[:!#>7$$!3%*=e*)oCu(>)!#>$!3cpuN&=cst$!#>7$$!3,$GK=]af@"!#=$!3;z'39hC'os!#>7$$!34v!*=?;pA;!#=$!3OvRd496L7!#=7$$!3YY$G%y4@d>!#=$!3DP$4;A?k"=!#=7$$!3sED_1!G`B#!#=$!3*e,2@q?h_#!#=7$$!37:W$)z//EC!#=$!3**fm`[3paL!#=7$$!3E5>1wj')*\#!#=$!3i(pr+OVzG%!#=7$$!3_/J9tn*[T#!#=$!3t:$y7]8yS&!#=7$$!3g(Qk9k8z7#!#=$!3q0M-Dw6%f'!#=7$$!3[vy'Qyssh"!#=$!3"3mKB'>G0y!#=7$$!3zF)e"4ra/()!#>$!3%*\<%\DUZ**)!#=7$$"3e`sjYAW_i!#?$!3G"fgXS%>15!#<7$$"3h?'=bf&)\?"!#=$!3n<d]E#=@5"!#<7$$"3/;iBzU=TD!#=$!3s4*y>*z-$="!#<7$$"3V_F]3C(o/%!#=$!3(Q(Qc-s+X7!#<7$$"3SM;h7#=Qw&!#=$!3vctEDlx&G"!#<7$$"3.`v;`l-'e(!#=$!3'*=k6vg+*H"!#<7$$"38'pC$ybyi%*!#=$!3.B5ZU?T#G"!#<7$$"3_4>!4e!*Q8"!#<$!3-XCp/atM7!#<7$$"3i(GqLQ&>,8!#<$!3'e'[J9UUj6!#<7$$"3ES&[)e$Q"f9!#<$!3%[&Q!)em[m5!#<7$$"3GTh!zy7Mg"!#<$!3!*>Rg!QHXX*!#=7$$"3Yf_6XO,I<!#<$!3G%RjT@#=E!)!#=7$$"3e16.m#pE%=!#<$!3Rj\(\,5dF'!#=7$$"3[pD*RM'*o#>!#<$!3m"yow)[)>N%!#=7$$"3B]ralQ))z>!#<$!32o'om!y,2B!#=7$$"37Z_:DQ&)**>!#<$!3e&o=c;yU(>!#>7$$"37O+W(>G\)>!#<$"37!o[?^'*))*>!#=7$$"3n.[#>g.U$>!#<$"3&Q2E+W$zMT!#=7$$"3.0+=Po^\=!#<$"3)3,&pBDMYh!#=7$$"3\%RbXF=Rt"!#<$"3)p-_BvAZ(z!#=7$$"3#RldMc:8h"!#<$"3Lz3M`I)pP*!#=7$$"31?db!4*or9!#<$"3)G7=lSKt0"!#<7$$"3nbI*\[I(=8!#<$"31c#**ot'>a6!#<7$$"3XBbT*H:k:"!#<$"3U^<!p%=!oA"!#<7$$"3a858$\GOv*!#=$"3t(>evn-rF"!#<7$$"3XKiZAfIMz!#=$"3_jE38IA)H"!#<7$$"3olIMAOlch!#=$"3=(H)\*GO6H"!#<7$$"3adLqF0cnW!#=$"3vY0Q"zHxD"!#<7$$"37aP[HipfG!#=$"3+*[*phLX)>"!#<7$$"3$>O2>N^!H9!#=$"3KL&RI+Bx6"!#<7$$"37-Gs/bX\?!#>$"3e#3aC,&))>5!#<7$$!3()R"\7,RB$z!#>$"3s;C_=Ly'4*!#=7$$!3lKUw#fTCa"!#=$"3Ehy=dZ7Yz!#=7$$!3%Rc]%oU*z1#!#=$"301Wb5Klpn!#=7$$!3`+$[a(**>!Q#!#=$"3a8XAxH_5c!#=7$$!39f(pQyYw\#!#=$"347"y")y%p2X!#=7$$!37%3wgoa+X#!#=$"3'f&e=>vaDN!#=7$$!3)Qh+w'4^sA!#=$"3PFMCP#35l#!#=7$$!3-in:A+)o*>!#=$"3YfzFEr(3!>!#=7$$!3'3?B64$*pl"!#=$"38!\8OVpWG"!#=7$$!3Y:3<A="eC"!#=$"3<itgsY&\e(!#>7$$!3kEx'HFKPU)!#>$"3wnpga3%y!R!#>7$$!3/OGeeN`q[!#>$"3;!*)H%G9$Ri"!#>7$$!3NnFl?ikM@!#>$"3g*)*GLxTT`%!#?7$$!31n4@rBy6e!#?$"3S$Q]grR>J'!#@7$$!3)R;=O=;s\#!#A$"3n7h)R=q[w"!#C7$$!3%H`mTUs'*R%!#?$!36YKL]?-]T!#@7$$!3UE$\gCPB'=!#>$!3H$Qj4lN9o$!#?7$$!3qk2+#*=8Pw!#>$!3U9N6TI>HL!#>7$$!3^if%G"HKS:!#=$!3oX%oL0Hg6"!#=7$$!3)Hm;T%R%>)=!#=$!3TnQTJwwm;!#=7$$!3"\ss-+I]<#!#=$!3caG@if]VB!#=7$$!3^i%[C,a))Q#!#=$!3U4,'R+B/9$!#=7$$!3[bI'>@`Q\#!#=$!3Nbkx7s5XS!#=7$$!3__sy[vG_C!#=$!3'))4/Xn`_8&!#=7$$!3UmIGW3@=A!#=$!3!zHnZ\C&*H'!#=7$$!3(*p#=_#=bo<!#=$!3ej_P@-!))\(!#=7$$!3@Sxso%p()3"!#=$!3p/:7$H%o)o)!#=7$$!3u!o?'*[?XM#!#>$!3pz`:73'pv*!#=7$$"33!ykbbl#R#)!#>$!3C'y"H\uPt5!#<7$$"3lN'QnGfS2#!#=$!3'>f*Rn)))y:"!#<7$$"3])3.)fJm&\$!#=$!3;Km=TJVD7!#<7$$"3C(z2Pu`Z8&!#=$!3^y+N%R,UF"!#<7$$"3Usk!e939*o!#=$!3?q*3%fwU(H"!#<7$$"3&\B*\/"e'>()!#=$!3Gt3+)[@EH"!#<7$$"3W$He2Xmo0"!#<$!3*[v7f+1#e7!#<7$$"3)3YIHs&[M7!#<$!3[3d&**pw`>"!#<7$$"3#z%3'\&[$QS"!#<$!3VG0%obFT5"!#<7$$"3LpN+t/"*f:!#<$!3$o(4HM[fe)*!#=7$$"3'>yFFR1!)p"!#<$!3='eTR"41H%)!#=7$$"3G.1z"o>(==!#<$!3*f%4Wjk&Gq'!#=7$$"3_&\jXG%*4">!#<$!3qG."fGBny%!#=7$$"3,\"e8,m;(>!#<$!3CTN!*R%zNt#!#=7$$"3WGprJ;k)*>!#<$!36Li4hv(p,'!#>7$$"3st`9K_)=*>!#<$"36-hH<*4(o9!#=7$$"3Hn_jMm@`>!#<$"3'HO,0I'y*\$!#=7$$"3W*zT$Hm(Q)=!#<$"3guJL;!3vV&!#=7$$"3?khtC43'y"!#<$"3%34o]AW7B(!#=7$$"3g#4.s2!))f;!#<$"3bs&[2g)Rp))!#=7$$"3ga)[+=;8^"!#<$"3!3QNHtKo-"!#<7$$"3"\#exDc?X8!#<$"3-c:)\sz&R6!#<7$$"3gfNj%4Ro;"!#<$"3?!3(QH?'HA"!#<7$$"3"ps*p\M8L)*!#=$"36.w6;8_v7!#<7$$"3*\&HNi@\')z!#=$"33#eN/c:!)H"!#<7$$"38CplO3H"='!#=$"3%)p1ycbU"H"!#<7$$"3'yhR-49mY%!#=$"3'HAkFC.xD"!#<7$$"3mccD[HE3I!#=$"30RY'>!)*>07!#<7$$"3QSi:(4q;p"!#=$"3Ov^QPB*[8"!#<7$$"3afJtkUB%R&!#>$"3"zy2w'[#*\5!#<7$$!3C]W>bK$RK%!#>$"3[%f*yAwHP&*!#=7$$!3xncY4ns78!#=$"3(zdz(R)RIM)!#=7$$!3s1T\5=ZT>!#=$"3S%=#RAzv-r!#=7$$!3Aa%z+TKvK#!#=$"3yTS&)Gpboe!#=7$$!33m,5E!*[!\#!#=$"3P$f65Z;zo%!#=7$$!3gKg(z?A1Z#!#=$"3Q.)>rK^2r$!#=7$$!3U_dQEP&4K#!#=$"3^pbA["eC$G!#=7$$!3SpNxE2oq?!#=$"3B&*emnN8q?!#=7$$!3oILA"R96v"!#=$"3L;iG"*H6M9!#=7$$!3-TU-W[gV)*!#>$"3<ggSQEwh]!#>7$$!3Ro"[TW&fPL!#>$"3`)f@/0N:,*!#?7$$!3@5(3G<?>I"!#>$"3KpA>'HCg8#!#?7$$!3qU(\cmS%))=!#?$"3Tk&\)RtJj6!#@7$$!35u+!p1R<#y!#@$!3)>W!*GNrm4$!#A7$$!3(QoJ@^O$z(*!#?$!3;95d_ku%Q"!#?7$$!3k.)yb]Xj$f!#>$!3%=h'*)>u_?A!#>7$$!3dkvp")\I]8!#=$!33,cb_&[[v)!#>-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$"#5!""$""!""!$""!""!-I(SCALINGG6"6#I,CONSTRAINEDG6$%*protectedGI(_syslibG6"-I%VIEWG6$%*protectedGI(_syslibG6"6$I(DEFAULTG6$%*protectedGI(_syslibG6";$!+aEfTJ!"*$"+aEfTJ!"*

To evaluate this we need to convert the cartesian coordinates to polars and use the equation for the cardioid and then integrate 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

Zio2I0kmdGhldGFHNiJGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSomLCYiIiJGKy1JJGNvc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjOSRGK0YrRixGK0YlRiVGJQ==

Zio2I0kmdGhldGFHNiJGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSomLCYiIiJGKy1JJGNvc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjOSRGK0YrLUkkc2luR0YuRjFGK0YlRiVGJQ==

Zio2I0kmdGhldGFHNiJGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwmKiYtSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IzkkIiIiLUkkY29zR0YtRjBGMiEiIiomLCZGMkYyRjNGMkYyRitGMkY1RiVGJUYl

Zio2I0kmdGhldGFHNiJGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwmKiQtSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IzkkIiIjISIiKiYsJiIiIkY2LUkkY29zR0YtRjBGNkY2RjdGNkY2RiVGJUYl

Zio2I0kmdGhldGFHNiJGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwmKiosJiIiIkYsLUkkY29zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiM5JEYsIiIjRi1GLC1JJHNpbkdGL0YyRiwsJiomRjVGLEYtRiwhIiIqJkYrRixGNUYsRjlGLEYsKiYsJiomRitGNEY1RjRGNComRitGLEYtRixGOUYsLCYqJEY1RjRGOUY+RixGLEYsRiVGJUYl

LCRJI1BpRyUqcHJvdGVjdGVkRyMhIzYiIiU=

Alternatively use Green's theorem, the line integral becomes 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 QyQtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1GJDYkLCYqJkkickdGKCIiIy1JJGNvc0dGJTYjSSZ0aGV0YUdGKCIiIiEiIkYuRjUvRi47IiIhLCZGNEY0RjBGNC9GMzssJEkjUGlHRiZGNUY9RjQ=

LCRJI1BpRyUqcHJvdGVjdGVkRyMhIzYiIiU=

(1) Evaluate the line integral in the first example over the boundary of the triangle formed by the lines x=1, y=1, x+y=1 (2) Using the the first quadrant section of the rose r = sin(3\316\270) evaluate 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn

The Divergence Theorem allows us to calculate a surface integral by setting up and computing a triple integral. Equivalently, we can evaluate a triple integral by setting up and evaluating a surface integral. The Divergence Theorem states that the surface integral (flux) of a vector field F over a closed oriented surface S is equal to the triple integral of the divergence of the vector field over the closed region Q bounded by S, if the component functions of F have continuous partial derivatives. That is, \342\210\253S \342\210\253 F \302\267 N dS = \342\210\253 Q \342\210\253 \342\210\253 div F dV. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn The following example verifies the Divergence Theorem.

First define a vector field F and a surface S. field := <x,y,z>; surface := <x,y,4-x^2-y^2>;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpV0xpPg==

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpbyJwJz4=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn We can visualize the interaction of the vector field and the surface by plotting them together: vfieldplot := fieldplot3d(field,x=-4..4,y=-4..4,z=-5..5, grid=[5, 5, 5]): surfaceparam := plot3d(surface,x=-2..2, y=-2..2): display({vfieldplot, surfaceparam}, axes=boxed);

6'-%+AXESLABELSG6%Q"x6"Q"y6"Q"z6"-%*AXESSTYLEG6#%$BOXG-%'CURVESG6ir7%7%$!3Eu."3t\EU$!#<$!3Eu."3t\EU$!#<$!3<oH^j@JyU!#<7%$!3<E'*=p-NxX!#<$!3<E'*=p-NxX!#<$!3$=.([Oyo@d!#<7%$!3k*)H*Qdt0:%!#<$!3rii[kp7/X!#<$!3$=.([Oy=4a!#<7%7%$!3!*\ss=8)QX$!#<$!3!*\ss=8)QX$!#<$!3(4`/U#ene@!#<7%$!34]FF"o=ha%!#<$!34]FF"o=ha%!#<$!3-pazvTKTG!#<7%$!3a*Go>xI[;%!#<$!34_P6RRXaW!#<$!3AQJ@sk_$p#!#<7%7%$!38#)R<dq=qM!#<$!38#)R<dq=qM!#<$""!""!7%$!3(y,EG%H")HX!#<$!3(y,EG%H")HX!#<$""!""!7%$!3#=&*[K(R%z;%!#<$!3))f>mW/&GV%!#<$""!""!7%7%$!3!*\ss=8)QX$!#<$!3!*\ss=8)QX$!#<$"3(4`/U#ene@!#<7%$!34]FF"o=ha%!#<$!34]FF"o=ha%!#<$"3-pazvTKTG!#<7%$!3a*Go>xI[;%!#<$!34_P6RRXaW!#<$"3AQJ@sk_$p#!#<7%7%$!3Eu."3t\EU$!#<$!3Eu."3t\EU$!#<$"3<oH^j@JyU!#<7%$!3<E'*=p-NxX!#<$!3<E'*=p-NxX!#<$"3$=.([Oyo@d!#<7%$!3k*)H*Qdt0:%!#<$!3rii[kp7/X!#<$"3$=.([Oy=4a!#<7%7%$!3g24CA6l2M!#<$!3!QX?6cDQq"!#<$!3GM6!G!RcfU!#<7%$!3Q#4fx()[Bf%!#<$!3?Y&z)QW<'H#!#<$!3sl))>(4O/u&!#<7%$!3gDz&HO9lB%!#<$!3Se'G%)*pgmB!#<$!3ZbA<iy")>a!#<7%7%$!3Efj\h$3fW$!#<$!3jz"[2=aHs"!#<$!3wC_$fs#p`@!#<7%$!3tSO]Q;4aX!#<$!3P?=D>e/xA!#<$!3BvZ1usIYG!#<7%$!3sJfo)z!HQU!#<$!3?nj<0d#)3B!#<$!3wdqjD=N'p#!#<7%7%$!38#)R<dq=qM!#<$!31"*peGN4N<!#<$""!""!7%$!3(y,EG%H")HX!#<$!3%*3ITrk!\E#!#<$""!""!7%$!3S.A5"fqTB%!#<$!3RKU=S=l#G#!#<$""!""!7%7%$!3Efj\h$3fW$!#<$!3jz"[2=aHs"!#<$"3wC_$fs#p`@!#<7%$!3tSO]Q;4aX!#<$!3P?=D>e/xA!#<$"3BvZ1usIYG!#<7%$!3sJfo)z!HQU!#<$!3?nj<0d#)3B!#<$"3wdqjD=N'p#!#<7%7%$!3g24CA6l2M!#<$!3!QX?6cDQq"!#<$"3GM6!G!RcfU!#<7%$!3Q#4fx()[Bf%!#<$!3?Y&z)QW<'H#!#<$"3sl))>(4O/u&!#<7%$!3gDz&HO9lB%!#<$!3Se'G%)*pgmB!#<$"3ZbA<iy")>a!#<7%7%$!3*RbU*oCH+M!#<$""!""!$!3g#>yhel.D%!#<7%$!3cXu0Jvq*f%!#<$""!""!$!3S2=#QTM'\d!#<7%$!3g["*o_l-SV!#<$!3)*4op4jG?@!#=$!3(oVh3>L]U&!#<7%7%$!3!=eij=z6W$!#<$""!""!$!3!Rhw9*pt]@!#<7%$!3v<uj83#)eX!#<$""!""!$!34'QB&3IE\G!#<7%$!3Or1D.V%oJ%!#<$!3Og(o"e;&>c"!#=$!3Ep;`*oF!)p#!#<7%7%$!3d#)R<dq=qM!#<$""!""!$""!""!7%$!3(y,EG%H")HX!#<$""!""!$""!""!7%$!3&eXb*3sR+V!#<$!3&Q/lqNKXK"!#=$""!""!7%7%$!3!=eij=z6W$!#<$""!""!$"3!Rhw9*pt]@!#<7%$!3v<uj83#)eX!#<$""!""!$"34'QB&3IE\G!#<7%$!3Or1D.V%oJ%!#<$!3Og(o"e;&>c"!#=$"3Ep;`*oF!)p#!#<7%7%$!3*RbU*oCH+M!#<$""!""!$"3g#>yhel.D%!#<7%$!3cXu0Jvq*f%!#<$""!""!$"3S2=#QTM'\d!#<7%$!3g["*o_l-SV!#<$!3)*4op4jG?@!#=$"3(oVh3>L]U&!#<7%7%$!3g24CA6l2M!#<$"3!QX?6cDQq"!#<$!3GM6!G!RcfU!#<7%$!3Q#4fx()[Bf%!#<$"3?Y&z)QW<'H#!#<$!3sl))>(4O/u&!#<7%$!33#o<l@%>NW!#<$"3WX"48HZ#p>!#<$!3ZbA<iy")>a!#<7%7%$!3Efj\h$3fW$!#<$"3jz"[2=aHs"!#<$!3wC_$fs#p`@!#<7%$!3tSO]Q;4aX!#<$"3P?=D>e/xA!#<$!3BvZ1usIYG!#<7%$!3:`ENV].!R%!#<$"3CDH%e@P`+#!#<$!3wdqjD=N'p#!#<7%7%$!38#)R<dq=qM!#<$"31"*peGN4N<!#<$""!""!7%$!3(y,EG%H")HX!#<$"3%*3ITrk!\E#!#<$""!""!7%$!3I3(3o#QimV!#<$"3YB7xo`u<?!#<$""!""!7%7%$!3Efj\h$3fW$!#<$"3jz"[2=aHs"!#<$"3wC_$fs#p`@!#<7%$!3tSO]Q;4aX!#<$"3P?=D>e/xA!#<$"3BvZ1usIYG!#<7%$!3:`ENV].!R%!#<$"3CDH%e@P`+#!#<$"3wdqjD=N'p#!#<7%7%$!3g24CA6l2M!#<$"3!QX?6cDQq"!#<$"3GM6!G!RcfU!#<7%$!3Q#4fx()[Bf%!#<$"3?Y&z)QW<'H#!#<$"3sl))>(4O/u&!#<7%$!33#o<l@%>NW!#<$"3WX"48HZ#p>!#<$"3ZbA<iy")>a!#<7%7%$!3Eu."3t\EU$!#<$"3Eu."3t\EU$!#<$!3<oH^j@JyU!#<7%$!3<E'*=p-NxX!#<$"3<E'*=p-NxX!#<$!3$=.([Oyo@d!#<7%$!3rii[kp7/X!#<$"3k*)H*Qdt0:%!#<$!3$=.([Oy=4a!#<7%7%$!3!*\ss=8)QX$!#<$"3!*\ss=8)QX$!#<$!3(4`/U#ene@!#<7%$!34]FF"o=ha%!#<$"34]FF"o=ha%!#<$!3-pazvTKTG!#<7%$!34_P6RRXaW!#<$"3a*Go>xI[;%!#<$!3AQJ@sk_$p#!#<7%7%$!38#)R<dq=qM!#<$"38#)R<dq=qM!#<$""!""!7%$!3(y,EG%H")HX!#<$"3(y,EG%H")HX!#<$""!""!7%$!3))f>mW/&GV%!#<$"3#=&*[K(R%z;%!#<$""!""!7%7%$!3!*\ss=8)QX$!#<$"3!*\ss=8)QX$!#<$"3(4`/U#ene@!#<7%$!34]FF"o=ha%!#<$"34]FF"o=ha%!#<$"3-pazvTKTG!#<7%$!34_P6RRXaW!#<$"3a*Go>xI[;%!#<$"3AQJ@sk_$p#!#<7%7%$!3Eu."3t\EU$!#<$"3Eu."3t\EU$!#<$"3<oH^j@JyU!#<7%$!3<E'*=p-NxX!#<$"3<E'*=p-NxX!#<$"3$=.([Oyo@d!#<7%$!3rii[kp7/X!#<$"3k*)H*Qdt0:%!#<$"3$=.([Oy=4a!#<7%7%$!3!QX?6cDQq"!#<$!3g24CA6l2M!#<$!3GM6!G!RcfU!#<7%$!3?Y&z)QW<'H#!#<$!3Q#4fx()[Bf%!#<$!3sl))>(4O/u&!#<7%$!3WX"48HZ#p>!#<$!33#o<l@%>NW!#<$!3ZbA<iy")>a!#<7%7%$!3jz"[2=aHs"!#<$!3Efj\h$3fW$!#<$!3wC_$fs#p`@!#<7%$!3P?=D>e/xA!#<$!3tSO]Q;4aX!#<$!3BvZ1usIYG!#<7%$!3CDH%e@P`+#!#<$!3:`ENV].!R%!#<$!3wdqjD=N'p#!#<7%7%$!31"*peGN4N<!#<$!38#)R<dq=qM!#<$""!""!7%$!3%*3ITrk!\E#!#<$!3(y,EG%H")HX!#<$""!""!7%$!3YB7xo`u<?!#<$!3I3(3o#QimV!#<$""!""!7%7%$!3jz"[2=aHs"!#<$!3Efj\h$3fW$!#<$"3wC_$fs#p`@!#<7%$!3P?=D>e/xA!#<$!3tSO]Q;4aX!#<$"3BvZ1usIYG!#<7%$!3CDH%e@P`+#!#<$!3:`ENV].!R%!#<$"3wdqjD=N'p#!#<7%7%$!3!QX?6cDQq"!#<$!3g24CA6l2M!#<$"3GM6!G!RcfU!#<7%$!3?Y&z)QW<'H#!#<$!3Q#4fx()[Bf%!#<$"3sl))>(4O/u&!#<7%$!3WX"48HZ#p>!#<$!33#o<l@%>NW!#<$"3ZbA<iy")>a!#<7%7%$!3<-8!zip$*o"!#<$!3<-8!zip$*o"!#<$!3CbKvpSUBU!#<7%$!3#yp)4s.j5B!#<$!3#yp)4s.j5B!#<$!3wWnCIfdwd!#<7%$!3U7UnylhT?!#<$!3#yp)4s.j5B!#<$!3CQhY)o3.W&!#<7%7%$!38(=0a'[K6<!#<$!38(=0a'[K6<!#<$!33%[c<3c"R@!#<7%$!338[fM^n)G#!#<$!338[fM^n)G#!#<$!3"f^V#=R%3'G!#<7%$!3#[\Ypy'Gv?!#<$!3NJJC#[j?D#!#<$!3#f^V#=Rf/F!#<7%7%$!31"*peGN4N<!#<$!31"*peGN4N<!#<$""!""!7%$!3%*3ITrk!\E#!#<$!3%*3ITrk!\E#!#<$""!""!7%$!3"fZCm)>(R3#!#<$!3%*z4LA_U;A!#<$""!""!7%7%$!38(=0a'[K6<!#<$!38(=0a'[K6<!#<$"33%[c<3c"R@!#<7%$!338[fM^n)G#!#<$!338[fM^n)G#!#<$"3"f^V#=R%3'G!#<7%$!3#[\Ypy'Gv?!#<$!3NJJC#[j?D#!#<$"3#f^V#=Rf/F!#<7%7%$!3<-8!zip$*o"!#<$!3<-8!zip$*o"!#<$"3CbKvpSUBU!#<7%$!3#yp)4s.j5B!#<$!3#yp)4s.j5B!#<$"3wWnCIfdwd!#<7%$!3U7UnylhT?!#<$!3#yp)4s.j5B!#<$"3CQhY)o3.W&!#<7%7%$!3p6Y*pO55o"!#<$""!""!$!3/Hl[<f_-U!#<7%$!3I)Q0Ij*)*=B!#<$""!""!$!3'4Z8D3uuz&!#<7%$!3V<@9qI'3=#!#<$!3`(R%zei?$y"!#=$!30%Hb`nd@X&!#<7%7%$!3+x7ZMi9+<!#<$""!""!$!3I'4*3$z#=D@!#<7%$!3yA(Gbw`)*H#!#<$""!""!$!3p.4"p?<[(G!#<7%$!3HuXMwK,q@!#<$!3)\S[[:V,1"!#=$!3W=2V&f;Dr#!#<7%7%$!3G"*peGN4N<!#<$""!""!$""!""!7%$!3%*3ITrk!\E#!#<$""!""!$""!""!7%$!3#zsxWg)>]@!#<$!3E>_K&yhEi'!#>$""!""!7%7%$!3+x7ZMi9+<!#<$""!""!$"3I'4*3$z#=D@!#<7%$!3yA(Gbw`)*H#!#<$""!""!$"3p.4"p?<[(G!#<7%$!3HuXMwK,q@!#<$!3)\S[[:V,1"!#=$"3W=2V&f;Dr#!#<7%7%$!3p6Y*pO55o"!#<$""!""!$"3/Hl[<f_-U!#<7%$!3I)Q0Ij*)*=B!#<$""!""!$"3'4Z8D3uuz&!#<7%$!3V<@9qI'3=#!#<$!3`(R%zei?$y"!#=$"30%Hb`nd@X&!#<7%7%$!3<-8!zip$*o"!#<$"3<-8!zip$*o"!#<$!3CbKvpSUBU!#<7%$!3#yp)4s.j5B!#<$"3#yp)4s.j5B!#<$!3wWnCIfdwd!#<7%$!3#yp)4s.j5B!#<$"3U7UnylhT?!#<$!3CQhY)o3.W&!#<7%7%$!38(=0a'[K6<!#<$"38(=0a'[K6<!#<$!33%[c<3c"R@!#<7%$!338[fM^n)G#!#<$"338[fM^n)G#!#<$!3"f^V#=R%3'G!#<7%$!3NJJC#[j?D#!#<$"3#[\Ypy'Gv?!#<$!3#f^V#=Rf/F!#<7%7%$!31"*peGN4N<!#<$"31"*peGN4N<!#<$""!""!7%$!3%*3ITrk!\E#!#<$"3%*3ITrk!\E#!#<$""!""!7%$!3%*z4LA_U;A!#<$"3"fZCm)>(R3#!#<$""!""!7%7%$!38(=0a'[K6<!#<$"38(=0a'[K6<!#<$"33%[c<3c"R@!#<7%$!338[fM^n)G#!#<$"338[fM^n)G#!#<$"3"f^V#=R%3'G!#<7%$!3NJJC#[j?D#!#<$"3#[\Ypy'Gv?!#<$"3#f^V#=Rf/F!#<7%7%$!3<-8!zip$*o"!#<$"3<-8!zip$*o"!#<$"3CbKvpSUBU!#<7%$!3#yp)4s.j5B!#<$"3#yp)4s.j5B!#<$"3wWnCIfdwd!#<7%$!3#yp)4s.j5B!#<$"3U7UnylhT?!#<$"3CQhY)o3.W&!#<7%7%$!3!QX?6cDQq"!#<$"3g24CA6l2M!#<$!3GM6!G!RcfU!#<7%$!3?Y&z)QW<'H#!#<$"3Q#4fx()[Bf%!#<$!3sl))>(4O/u&!#<7%$!3Se'G%)*pgmB!#<$"3gDz&HO9lB%!#<$!3ZbA<iy")>a!#<7%7%$!3jz"[2=aHs"!#<$"3Efj\h$3fW$!#<$!3wC_$fs#p`@!#<7%$!3P?=D>e/xA!#<$"3tSO]Q;4aX!#<$!3BvZ1usIYG!#<7%$!3?nj<0d#)3B!#<$"3sJfo)z!HQU!#<$!3wdqjD=N'p#!#<7%7%$!31"*peGN4N<!#<$"38#)R<dq=qM!#<$""!""!7%$!3%*3ITrk!\E#!#<$"3(y,EG%H")HX!#<$""!""!7%$!3RKU=S=l#G#!#<$"3S.A5"fqTB%!#<$""!""!7%7%$!3jz"[2=aHs"!#<$"3Efj\h$3fW$!#<$"3wC_$fs#p`@!#<7%$!3P?=D>e/xA!#<$"3tSO]Q;4aX!#<$"3BvZ1usIYG!#<7%$!3?nj<0d#)3B!#<$"3sJfo)z!HQU!#<$"3wdqjD=N'p#!#<7%7%$!3!QX?6cDQq"!#<$"3g24CA6l2M!#<$"3GM6!G!RcfU!#<7%$!3?Y&z)QW<'H#!#<$"3Q#4fx()[Bf%!#<$"3sl))>(4O/u&!#<7%$!3Se'G%)*pgmB!#<$"3gDz&HO9lB%!#<$"3ZbA<iy")>a!#<7%7%$""!""!$!3*RbU*oCH+M!#<$!3g#>yhel.D%!#<7%$""!""!$!3cXu0Jvq*f%!#<$!3S2=#QTM'\d!#<7%$"3)*4op4jG?@!#=$!3g["*o_l-SV!#<$!3(oVh3>L]U&!#<7%7%$""!""!$!3!=eij=z6W$!#<$!3!Rhw9*pt]@!#<7%$""!""!$!3v<uj83#)eX!#<$!34'QB&3IE\G!#<7%$"3Og(o"e;&>c"!#=$!3Or1D.V%oJ%!#<$!3Ep;`*oF!)p#!#<7%7%$""!""!$!3d#)R<dq=qM!#<$""!""!7%$""!""!$!3(y,EG%H")HX!#<$""!""!7%$"3&Q/lqNKXK"!#=$!3&eXb*3sR+V!#<$""!""!7%7%$""!""!$!3!=eij=z6W$!#<$"3!Rhw9*pt]@!#<7%$""!""!$!3v<uj83#)eX!#<$"34'QB&3IE\G!#<7%$"3Og(o"e;&>c"!#=$!3Or1D.V%oJ%!#<$"3Ep;`*oF!)p#!#<7%7%$""!""!$!3*RbU*oCH+M!#<$"3g#>yhel.D%!#<7%$""!""!$!3cXu0Jvq*f%!#<$"3S2=#QTM'\d!#<7%$"3)*4op4jG?@!#=$!3g["*o_l-SV!#<$"3(oVh3>L]U&!#<7%7%$""!""!$!3p6Y*pO55o"!#<$!3/Hl[<f_-U!#<7%$""!""!$!3I)Q0Ij*)*=B!#<$!3'4Z8D3uuz&!#<7%$"3`(R%zei?$y"!#=$!3V<@9qI'3=#!#<$!30%Hb`nd@X&!#<7%7%$""!""!$!3+x7ZMi9+<!#<$!3I'4*3$z#=D@!#<7%$""!""!$!3yA(Gbw`)*H#!#<$!3p.4"p?<[(G!#<7%$"3)\S[[:V,1"!#=$!3HuXMwK,q@!#<$!3W=2V&f;Dr#!#<7%7%$""!""!$!3G"*peGN4N<!#<$""!""!7%$""!""!$!3%*3ITrk!\E#!#<$""!""!7%$"3E>_K&yhEi'!#>$!3#zsxWg)>]@!#<$""!""!7%7%$""!""!$!3+x7ZMi9+<!#<$"3I'4*3$z#=D@!#<7%$""!""!$!3yA(Gbw`)*H#!#<$"3p.4"p?<[(G!#<7%$"3)\S[[:V,1"!#=$!3HuXMwK,q@!#<$"3W=2V&f;Dr#!#<7%7%$""!""!$!3p6Y*pO55o"!#<$"3/Hl[<f_-U!#<7%$""!""!$!3I)Q0Ij*)*=B!#<$"3'4Z8D3uuz&!#<7%$"3`(R%zei?$y"!#=$!3V<@9qI'3=#!#<$"30%Hb`nd@X&!#<7%7%$""!""!$""!""!$!3RZV$oFn@<%!#<7%$""!""!$""!""!$!3g_c;BF$y#e!#<7%$""!""!$!3u/8LYamb;!#=$!3****G**Q1Ppa!#<7%7%$""!""!$""!""!$!3qtrTQO3'3#!#<7%$""!""!$""!""!$!3IEGehj"R"H!#<7%$""!""!$!3uBllJsKy#)!#>$!3+]k\>`oMF!#<7%7%$""!""!$""!""!$""!""!7%$""!""!$""!""!$""!""!7%$""!""!$""!""!$""!""!7%7%$""!""!$""!""!$"3qtrTQO3'3#!#<7%$""!""!$""!""!$"3IEGehj"R"H!#<7%$""!""!$"3uBllJsKy#)!#>$"3+]k\>`oMF!#<7%7%$""!""!$""!""!$"3RZV$oFn@<%!#<7%$""!""!$""!""!$"3g_c;BF$y#e!#<7%$""!""!$"3u/8LYamb;!#=$"3****G**Q1Ppa!#<7%7%$""!""!$"3p6Y*pO55o"!#<$!3/Hl[<f_-U!#<7%$""!""!$"3I)Q0Ij*)*=B!#<$!3'4Z8D3uuz&!#<7%$!3`(R%zei?$y"!#=$"3V<@9qI'3=#!#<$!30%Hb`nd@X&!#<7%7%$""!""!$"3+x7ZMi9+<!#<$!3I'4*3$z#=D@!#<7%$""!""!$"3yA(Gbw`)*H#!#<$!3p.4"p?<[(G!#<7%$!3)\S[[:V,1"!#=$"3HuXMwK,q@!#<$!3W=2V&f;Dr#!#<7%7%$""!""!$"3G"*peGN4N<!#<$""!""!7%$""!""!$"3%*3ITrk!\E#!#<$""!""!7%$!3E>_K&yhEi'!#>$"3#zsxWg)>]@!#<$""!""!7%7%$""!""!$"3+x7ZMi9+<!#<$"3I'4*3$z#=D@!#<7%$""!""!$"3yA(Gbw`)*H#!#<$"3p.4"p?<[(G!#<7%$!3)\S[[:V,1"!#=$"3HuXMwK,q@!#<$"3W=2V&f;Dr#!#<7%7%$""!""!$"3p6Y*pO55o"!#<$"3/Hl[<f_-U!#<7%$""!""!$"3I)Q0Ij*)*=B!#<$"3'4Z8D3uuz&!#<7%$!3`(R%zei?$y"!#=$"3V<@9qI'3=#!#<$"30%Hb`nd@X&!#<7%7%$""!""!$"3*RbU*oCH+M!#<$!3g#>yhel.D%!#<7%$""!""!$"3cXu0Jvq*f%!#<$!3S2=#QTM'\d!#<7%$!3)*4op4jG?@!#=$"3g["*o_l-SV!#<$!3(oVh3>L]U&!#<7%7%$""!""!$"3!=eij=z6W$!#<$!3!Rhw9*pt]@!#<7%$""!""!$"3v<uj83#)eX!#<$!34'QB&3IE\G!#<7%$!3Og(o"e;&>c"!#=$"3Or1D.V%oJ%!#<$!3Ep;`*oF!)p#!#<7%7%$""!""!$"3d#)R<dq=qM!#<$""!""!7%$""!""!$"3(y,EG%H")HX!#<$""!""!7%$!3&Q/lqNKXK"!#=$"3&eXb*3sR+V!#<$""!""!7%7%$""!""!$"3!=eij=z6W$!#<$"3!Rhw9*pt]@!#<7%$""!""!$"3v<uj83#)eX!#<$"34'QB&3IE\G!#<7%$!3Og(o"e;&>c"!#=$"3Or1D.V%oJ%!#<$"3Ep;`*oF!)p#!#<7%7%$""!""!$"3*RbU*oCH+M!#<$"3g#>yhel.D%!#<7%$""!""!$"3cXu0Jvq*f%!#<$"3S2=#QTM'\d!#<7%$!3)*4op4jG?@!#=$"3g["*o_l-SV!#<$"3(oVh3>L]U&!#<7%7%$"3!QX?6cDQq"!#<$!3g24CA6l2M!#<$!3GM6!G!RcfU!#<7%$"3?Y&z)QW<'H#!#<$!3Q#4fx()[Bf%!#<$!3sl))>(4O/u&!#<7%$"3Se'G%)*pgmB!#<$!3gDz&HO9lB%!#<$!3ZbA<iy")>a!#<7%7%$"3jz"[2=aHs"!#<$!3Efj\h$3fW$!#<$!3wC_$fs#p`@!#<7%$"3P?=D>e/xA!#<$!3tSO]Q;4aX!#<$!3BvZ1usIYG!#<7%$"3?nj<0d#)3B!#<$!3sJfo)z!HQU!#<$!3wdqjD=N'p#!#<7%7%$"31"*peGN4N<!#<$!38#)R<dq=qM!#<$""!""!7%$"3%*3ITrk!\E#!#<$!3(y,EG%H")HX!#<$""!""!7%$"3RKU=S=l#G#!#<$!3S.A5"fqTB%!#<$""!""!7%7%$"3jz"[2=aHs"!#<$!3Efj\h$3fW$!#<$"3wC_$fs#p`@!#<7%$"3P?=D>e/xA!#<$!3tSO]Q;4aX!#<$"3BvZ1usIYG!#<7%$"3?nj<0d#)3B!#<$!3sJfo)z!HQU!#<$"3wdqjD=N'p#!#<7%7%$"3!QX?6cDQq"!#<$!3g24CA6l2M!#<$"3GM6!G!RcfU!#<7%$"3?Y&z)QW<'H#!#<$!3Q#4fx()[Bf%!#<$"3sl))>(4O/u&!#<7%$"3Se'G%)*pgmB!#<$!3gDz&HO9lB%!#<$"3ZbA<iy")>a!#<7%7%$"3<-8!zip$*o"!#<$!3<-8!zip$*o"!#<$!3CbKvpSUBU!#<7%$"3#yp)4s.j5B!#<$!3#yp)4s.j5B!#<$!3wWnCIfdwd!#<7%$"3#yp)4s.j5B!#<$!3U7UnylhT?!#<$!3CQhY)o3.W&!#<7%7%$"38(=0a'[K6<!#<$!38(=0a'[K6<!#<$!33%[c<3c"R@!#<7%$"338[fM^n)G#!#<$!338[fM^n)G#!#<$!3"f^V#=R%3'G!#<7%$"3NJJC#[j?D#!#<$!3#[\Ypy'Gv?!#<$!3#f^V#=Rf/F!#<7%7%$"31"*peGN4N<!#<$!31"*peGN4N<!#<$""!""!7%$"3%*3ITrk!\E#!#<$!3%*3ITrk!\E#!#<$""!""!7%$"3%*z4LA_U;A!#<$!3"fZCm)>(R3#!#<$""!""!7%7%$"38(=0a'[K6<!#<$!38(=0a'[K6<!#<$"33%[c<3c"R@!#<7%$"338[fM^n)G#!#<$!338[fM^n)G#!#<$"3"f^V#=R%3'G!#<7%$"3NJJC#[j?D#!#<$!3#[\Ypy'Gv?!#<$"3#f^V#=Rf/F!#<7%7%$"3<-8!zip$*o"!#<$!3<-8!zip$*o"!#<$"3CbKvpSUBU!#<7%$"3#yp)4s.j5B!#<$!3#yp)4s.j5B!#<$"3wWnCIfdwd!#<7%$"3#yp)4s.j5B!#<$!3U7UnylhT?!#<$"3CQhY)o3.W&!#<7%7%$"3p6Y*pO55o"!#<$""!""!$!3/Hl[<f_-U!#<7%$"3I)Q0Ij*)*=B!#<$""!""!$!3'4Z8D3uuz&!#<7%$"3V<@9qI'3=#!#<$"3`(R%zei?$y"!#=$!30%Hb`nd@X&!#<7%7%$"3+x7ZMi9+<!#<$""!""!$!3I'4*3$z#=D@!#<7%$"3yA(Gbw`)*H#!#<$""!""!$!3p.4"p?<[(G!#<7%$"3HuXMwK,q@!#<$"3)\S[[:V,1"!#=$!3W=2V&f;Dr#!#<7%7%$"3G"*peGN4N<!#<$""!""!$""!""!7%$"3%*3ITrk!\E#!#<$""!""!$""!""!7%$"3#zsxWg)>]@!#<$"3E>_K&yhEi'!#>$""!""!7%7%$"3+x7ZMi9+<!#<$""!""!$"3I'4*3$z#=D@!#<7%$"3yA(Gbw`)*H#!#<$""!""!$"3p.4"p?<[(G!#<7%$"3HuXMwK,q@!#<$"3)\S[[:V,1"!#=$"3W=2V&f;Dr#!#<7%7%$"3p6Y*pO55o"!#<$""!""!$"3/Hl[<f_-U!#<7%$"3I)Q0Ij*)*=B!#<$""!""!$"3'4Z8D3uuz&!#<7%$"3V<@9qI'3=#!#<$"3`(R%zei?$y"!#=$"30%Hb`nd@X&!#<7%7%$"3<-8!zip$*o"!#<$"3<-8!zip$*o"!#<$!3CbKvpSUBU!#<7%$"3#yp)4s.j5B!#<$"3#yp)4s.j5B!#<$!3wWnCIfdwd!#<7%$"3U7UnylhT?!#<$"3#yp)4s.j5B!#<$!3CQhY)o3.W&!#<7%7%$"38(=0a'[K6<!#<$"38(=0a'[K6<!#<$!33%[c<3c"R@!#<7%$"338[fM^n)G#!#<$"338[fM^n)G#!#<$!3"f^V#=R%3'G!#<7%$"3#[\Ypy'Gv?!#<$"3NJJC#[j?D#!#<$!3#f^V#=Rf/F!#<7%7%$"31"*peGN4N<!#<$"31"*peGN4N<!#<$""!""!7%$"3%*3ITrk!\E#!#<$"3%*3ITrk!\E#!#<$""!""!7%$"3"fZCm)>(R3#!#<$"3%*z4LA_U;A!#<$""!""!7%7%$"38(=0a'[K6<!#<$"38(=0a'[K6<!#<$"33%[c<3c"R@!#<7%$"338[fM^n)G#!#<$"338[fM^n)G#!#<$"3"f^V#=R%3'G!#<7%$"3#[\Ypy'Gv?!#<$"3NJJC#[j?D#!#<$"3#f^V#=Rf/F!#<7%7%$"3<-8!zip$*o"!#<$"3<-8!zip$*o"!#<$"3CbKvpSUBU!#<7%$"3#yp)4s.j5B!#<$"3#yp)4s.j5B!#<$"3wWnCIfdwd!#<7%$"3U7UnylhT?!#<$"3#yp)4s.j5B!#<$"3CQhY)o3.W&!#<7%7%$"3!QX?6cDQq"!#<$"3g24CA6l2M!#<$!3GM6!G!RcfU!#<7%$"3?Y&z)QW<'H#!#<$"3Q#4fx()[Bf%!#<$!3sl))>(4O/u&!#<7%$"3WX"48HZ#p>!#<$"33#o<l@%>NW!#<$!3ZbA<iy")>a!#<7%7%$"3jz"[2=aHs"!#<$"3Efj\h$3fW$!#<$!3wC_$fs#p`@!#<7%$"3P?=D>e/xA!#<$"3tSO]Q;4aX!#<$!3BvZ1usIYG!#<7%$"3CDH%e@P`+#!#<$"3:`ENV].!R%!#<$!3wdqjD=N'p#!#<7%7%$"31"*peGN4N<!#<$"38#)R<dq=qM!#<$""!""!7%$"3%*3ITrk!\E#!#<$"3(y,EG%H")HX!#<$""!""!7%$"3YB7xo`u<?!#<$"3I3(3o#QimV!#<$""!""!7%7%$"3jz"[2=aHs"!#<$"3Efj\h$3fW$!#<$"3wC_$fs#p`@!#<7%$"3P?=D>e/xA!#<$"3tSO]Q;4aX!#<$"3BvZ1usIYG!#<7%$"3CDH%e@P`+#!#<$"3:`ENV].!R%!#<$"3wdqjD=N'p#!#<7%7%$"3!QX?6cDQq"!#<$"3g24CA6l2M!#<$"3GM6!G!RcfU!#<7%$"3?Y&z)QW<'H#!#<$"3Q#4fx()[Bf%!#<$"3sl))>(4O/u&!#<7%$"3WX"48HZ#p>!#<$"33#o<l@%>NW!#<$"3ZbA<iy")>a!#<7%7%$"3Eu."3t\EU$!#<$!3Eu."3t\EU$!#<$!3<oH^j@JyU!#<7%$"3<E'*=p-NxX!#<$!3<E'*=p-NxX!#<$!3$=.([Oyo@d!#<7%$"3rii[kp7/X!#<$!3k*)H*Qdt0:%!#<$!3$=.([Oy=4a!#<7%7%$"3!*\ss=8)QX$!#<$!3!*\ss=8)QX$!#<$!3(4`/U#ene@!#<7%$"34]FF"o=ha%!#<$!34]FF"o=ha%!#<$!3-pazvTKTG!#<7%$"34_P6RRXaW!#<$!3a*Go>xI[;%!#<$!3AQJ@sk_$p#!#<7%7%$"38#)R<dq=qM!#<$!38#)R<dq=qM!#<$""!""!7%$"3(y,EG%H")HX!#<$!3(y,EG%H")HX!#<$""!""!7%$"3))f>mW/&GV%!#<$!3#=&*[K(R%z;%!#<$""!""!7%7%$"3!*\ss=8)QX$!#<$!3!*\ss=8)QX$!#<$"3(4`/U#ene@!#<7%$"34]FF"o=ha%!#<$!34]FF"o=ha%!#<$"3-pazvTKTG!#<7%$"34_P6RRXaW!#<$!3a*Go>xI[;%!#<$"3AQJ@sk_$p#!#<7%7%$"3Eu."3t\EU$!#<$!3Eu."3t\EU$!#<$"3<oH^j@JyU!#<7%$"3<E'*=p-NxX!#<$!3<E'*=p-NxX!#<$"3$=.([Oyo@d!#<7%$"3rii[kp7/X!#<$!3k*)H*Qdt0:%!#<$"3$=.([Oy=4a!#<7%7%$"3g24CA6l2M!#<$!3!QX?6cDQq"!#<$!3GM6!G!RcfU!#<7%$"3Q#4fx()[Bf%!#<$!3?Y&z)QW<'H#!#<$!3sl))>(4O/u&!#<7%$"33#o<l@%>NW!#<$!3WX"48HZ#p>!#<$!3ZbA<iy")>a!#<7%7%$"3Efj\h$3fW$!#<$!3jz"[2=aHs"!#<$!3wC_$fs#p`@!#<7%$"3tSO]Q;4aX!#<$!3P?=D>e/xA!#<$!3BvZ1usIYG!#<7%$"3:`ENV].!R%!#<$!3CDH%e@P`+#!#<$!3wdqjD=N'p#!#<7%7%$"38#)R<dq=qM!#<$!31"*peGN4N<!#<$""!""!7%$"3(y,EG%H")HX!#<$!3%*3ITrk!\E#!#<$""!""!7%$"3I3(3o#QimV!#<$!3YB7xo`u<?!#<$""!""!7%7%$"3Efj\h$3fW$!#<$!3jz"[2=aHs"!#<$"3wC_$fs#p`@!#<7%$"3tSO]Q;4aX!#<$!3P?=D>e/xA!#<$"3BvZ1usIYG!#<7%$"3:`ENV].!R%!#<$!3CDH%e@P`+#!#<$"3wdqjD=N'p#!#<7%7%$"3g24CA6l2M!#<$!3!QX?6cDQq"!#<$"3GM6!G!RcfU!#<7%$"3Q#4fx()[Bf%!#<$!3?Y&z)QW<'H#!#<$"3sl))>(4O/u&!#<7%$"33#o<l@%>NW!#<$!3WX"48HZ#p>!#<$"3ZbA<iy")>a!#<7%7%$"3*RbU*oCH+M!#<$""!""!$!3g#>yhel.D%!#<7%$"3cXu0Jvq*f%!#<$""!""!$!3S2=#QTM'\d!#<7%$"3g["*o_l-SV!#<$"3)*4op4jG?@!#=$!3(oVh3>L]U&!#<7%7%$"3!=eij=z6W$!#<$""!""!$!3!Rhw9*pt]@!#<7%$"3v<uj83#)eX!#<$""!""!$!34'QB&3IE\G!#<7%$"3Or1D.V%oJ%!#<$"3Og(o"e;&>c"!#=$!3Ep;`*oF!)p#!#<7%7%$"3d#)R<dq=qM!#<$""!""!$""!""!7%$"3(y,EG%H")HX!#<$""!""!$""!""!7%$"3&eXb*3sR+V!#<$"3&Q/lqNKXK"!#=$""!""!7%7%$"3!=eij=z6W$!#<$""!""!$"3!Rhw9*pt]@!#<7%$"3v<uj83#)eX!#<$""!""!$"34'QB&3IE\G!#<7%$"3Or1D.V%oJ%!#<$"3Og(o"e;&>c"!#=$"3Ep;`*oF!)p#!#<7%7%$"3*RbU*oCH+M!#<$""!""!$"3g#>yhel.D%!#<7%$"3cXu0Jvq*f%!#<$""!""!$"3S2=#QTM'\d!#<7%$"3g["*o_l-SV!#<$"3)*4op4jG?@!#=$"3(oVh3>L]U&!#<7%7%$"3g24CA6l2M!#<$"3!QX?6cDQq"!#<$!3GM6!G!RcfU!#<7%$"3Q#4fx()[Bf%!#<$"3?Y&z)QW<'H#!#<$!3sl))>(4O/u&!#<7%$"3gDz&HO9lB%!#<$"3Se'G%)*pgmB!#<$!3ZbA<iy")>a!#<7%7%$"3Efj\h$3fW$!#<$"3jz"[2=aHs"!#<$!3wC_$fs#p`@!#<7%$"3tSO]Q;4aX!#<$"3P?=D>e/xA!#<$!3BvZ1usIYG!#<7%$"3sJfo)z!HQU!#<$"3?nj<0d#)3B!#<$!3wdqjD=N'p#!#<7%7%$"38#)R<dq=qM!#<$"31"*peGN4N<!#<$""!""!7%$"3(y,EG%H")HX!#<$"3%*3ITrk!\E#!#<$""!""!7%$"3S.A5"fqTB%!#<$"3RKU=S=l#G#!#<$""!""!7%7%$"3Efj\h$3fW$!#<$"3jz"[2=aHs"!#<$"3wC_$fs#p`@!#<7%$"3tSO]Q;4aX!#<$"3P?=D>e/xA!#<$"3BvZ1usIYG!#<7%$"3sJfo)z!HQU!#<$"3?nj<0d#)3B!#<$"3wdqjD=N'p#!#<7%7%$"3g24CA6l2M!#<$"3!QX?6cDQq"!#<$"3GM6!G!RcfU!#<7%$"3Q#4fx()[Bf%!#<$"3?Y&z)QW<'H#!#<$"3sl))>(4O/u&!#<7%$"3gDz&HO9lB%!#<$"3Se'G%)*pgmB!#<$"3ZbA<iy")>a!#<7%7%$"3Eu."3t\EU$!#<$"3Eu."3t\EU$!#<$!3<oH^j@JyU!#<7%$"3<E'*=p-NxX!#<$"3<E'*=p-NxX!#<$!3$=.([Oyo@d!#<7%$"3k*)H*Qdt0:%!#<$"3rii[kp7/X!#<$!3$=.([Oy=4a!#<7%7%$"3!*\ss=8)QX$!#<$"3!*\ss=8)QX$!#<$!3(4`/U#ene@!#<7%$"34]FF"o=ha%!#<$"34]FF"o=ha%!#<$!3-pazvTKTG!#<7%$"3a*Go>xI[;%!#<$"34_P6RRXaW!#<$!3AQJ@sk_$p#!#<7%7%$"38#)R<dq=qM!#<$"38#)R<dq=qM!#<$""!""!7%$"3(y,EG%H")HX!#<$"3(y,EG%H")HX!#<$""!""!7%$"3#=&*[K(R%z;%!#<$"3))f>mW/&GV%!#<$""!""!7%7%$"3!*\ss=8)QX$!#<$"3!*\ss=8)QX$!#<$"3(4`/U#ene@!#<7%$"34]FF"o=ha%!#<$"34]FF"o=ha%!#<$"3-pazvTKTG!#<7%$"3a*Go>xI[;%!#<$"34_P6RRXaW!#<$"3AQJ@sk_$p#!#<7%7%$"3Eu."3t\EU$!#<$"3Eu."3t\EU$!#<$"3<oH^j@JyU!#<7%$"3<E'*=p-NxX!#<$"3<E'*=p-NxX!#<$"3$=.([Oyo@d!#<7%$"3k*)H*Qdt0:%!#<$"3rii[kp7/X!#<$"3$=.([Oy=4a!#<-%%MESHG6#X.I)anythingG%*protectedG6"6"[gl'!%"!!$^`r":":"$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%,ORIENTATIONG6$$"#N""!$"23++++++g&!#:

To verify the Divergence Theorem, we'll set up and evaluate the surface integral first, then compare the result to the result of the triple integral. We need to find the normal vector to the surface. We'll find this by taking the cross product of two tangent vectors. dx := map(diff,surface,x); dy := map(diff,surface,y); normalvector := CrossProduct(dx, dy);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpKVs9MiM=

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpMyt0Pw==

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIoX3NIKQ==

Before we set up the surface integral as a double integral, let's look at the region of integration (the intersection of the surface with the xy-plane). surface[3]=0;

LywoIiIlIiIiKiRJInhHNiIiIiMhIiIqJEkieUdGKEYpRioiIiE=

And (shamelessly stealing more code from our workshop leaders) we plot the region: topcurve := x -> sqrt(4-x^2); bottomcurve:= x -> -sqrt(4-x^2); leftend := -2; rightend := 2; print(`region for `, int(int(f(x,y), y=bottomcurve(x)..topcurve(x)), x=leftend..rightend)); lines := {}: for i from 0 to 10 do tempx := leftend + i/10*(rightend - leftend): lines := lines union {[[tempx,topcurve(tempx)], [tempx, bottomcurve(tempx)]]}; od: plots[display] ([plot({[x, topcurve(x),x=leftend..rightend], [x, bottomcurve(x),x=leftend..rightend]}), plot(lines, color=BLACK)],scaling=CONSTRAINED);

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUklc3FydEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjLCYiIiUiIiIqJDkkIiIjISIiRiVGJUYl

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQtSSVzcXJ0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMsJiIiJSIiIiokOSQiIiMhIiJGNkYlRiVGJQ==

ISIj

IiIj

NiRJLHJlZ2lvbn5mb3J+RzYiLUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiQtRiY2JC1JImZHRiQ2JEkieEdGJEkieUdGJC9GMTssJCokLCYiIiUiIiIqJEYwIiIjISIiI0Y4RjpGO0Y1L0YwOyEiI0Y6

62-I'CURVESG6$%*protectedGI(_syslibG6"6$7_o7$$!"#""!$""!""!7$$!3SL$e9r]X*>!#<$"35'GV9$*z`Z"!#=7$$!3"om;HU,"*)>!#<$"3,b^-S'y]3#!#=7$$!3@+]PM@l$)>!#<$"3'))*\c[X%>b#!#=7$$!3RLL$e%G?y>!#<$"3O7\Z=crWH!#=7$$!3(****\(oUIn>!#<$"3@pQd$z"e,O!#=7$$!3xmmm"p0k&>!#<$"3AXE1hA.`T!#=7$$!3%*****\P&3Y$>!#<$"3M"oFHEuB2&!#=7$$!3MLLL$Q6G">!#<$"3#*o0<(4F3%e!#=7$$!30++v3-)[(=!#<$"3tr&GT(=$H'p!#=7$$!3amm;M!\p$=!#<$"3\(ziTJ.'4z!#=7$$!3#)***\7Y"H%z"!#<$"3A#R\y$QpM))!#=7$$!3LLLL))Qj^<!#<$"3%*[dh&foGl*!#=7$$!3ALLL=Kvl;!#<$"3()f/[Qu"p5"!#<7$$!3wmm;C2G!e"!#<$"3]#)*f/)=&eA"!#<7$$!3OLL$3yO5]"!#<$"35aK5F"*p@8!#<7$$!3&*****\nU)*=9!#<$"3#>J$>4nU49!#<7$$!3SLL$3WDTL"!#<$"3U^t_BJ+!\"!#<7$$!35++]d(Q&\7!#<$"3)yCotn=;c"!#<7$$!3gmmmc4`i6!#<$"3uw9,jzUF;!#<7$$!3KLLLQW*e3"!#<$"35zMAYO`z;!#<7$$!3w++++()>'***!#=$"3IHh6?-FK<!#<7$$!3E++++0"*H"*!#=$"33V5?;9Xz<!#<7$$!35++++83&H)!#=$"3Kd_;+r')>=!#<7$$!3[LLL3k(p`(!#=$"3hbgOe&\D&=!#<7$$!3Anmmmj^Nm!#=$"3-Y&Q'>lr')=!#<7$$!3(zmmmYh=(e!#=$"3`[i$e)4'=">!#<7$$!3+,++v#\N)\!#=$"3d7A#Qo:p$>!#<7$$!3commmCC(>%!#=$"3s#Q#R!)>Yb>!#<7$$!39*****\FRXL$!#=$"3UD#Rk?1?(>!#<7$$!3t*****\#=/8D!#=$"3'QZCjt[T)>!#<7$$!3<mmm;a*el"!#=$"3=Op"yBLJ*>!#<7$$!3jomm;Wn(o)!#>$"3O"\**o@7")*>!#<7$$!3IqLLL$eV(>!#?$"3WbqZD!*****>!#<7$$"3)Qjmm"f`@')!#>$"3!y9kQ'39)*>!#<7$$"3%z****\nZ)H;!#=$"3M!>y)GzM$*>!#<7$$"3bkmm;$y*eC!#=$"3?x!Q:+E[)>!#<7$$"3f)******R^bJ$!#=$"3]9BTRjKs>!#<7$$"3&e*****\5a`T!#=$"3jX1Z!*[Rc>!#<7$$"3&o****\7RV'\!#=$"3w3v=K*3u$>!#<7$$"3X'*****\@fke!#=$"3!)p%Hd4%37>!#<7$$"3_ILLL&4Nn'!#=$"3;6;f6gP&)=!#<7$$"3A*******\,s`(!#=$"3%\!)*\+/a_=!#<7$$"3%[mm;zM)>$)!#=$"30mED%yO(==!#<7$$"3L*******pfa<*!#=$"3?=p6Hq5x<!#<7$$"38HLLeg`!)**!#=$"3-0Y`,J<L<!#<7$$"3v****\#G2A3"!#<$"3IP)f"G=">o"!#<7$$"3:LLL$)G[k6!#<$"31R<Wh=.E;!#<7$$"3")****\7yh]7!#<$"3BrH1`Yvg:!#<7$$"3wmmm')fdL8!#<$"3%>'oq8\\!\"!#<7$$"3bmmm,FT=9!#<$"3ww2k<>+59!#<7$$"3FLL$e#pa-:!#<$"3SIGs'4#)*>8!#<7$$"3*)******Rv&)z:!#<$"3!RdD\A(RE7!#<7$$"3HLLLGUYo;!#<$"3ECg:wo#G5"!#<7$$"3_mmm1^rZ<!#<$"3;rz`43kB(*!#=7$$"3ILLe*3k**y"!#<$"3Y:4a_K/A*)!#=7$$"34++]sI@K=!#<$"3')RF(Q])p=!)!#=7$$"33+++S2ls=!#<$"3]hzw)*=nAq!#=7$$"34++]2%)38>!#<$"3Iil>BruJe!#=7$$"31+]i0j"[$>!#<$"3<dKYSLWk]!#=7$$"3/++v.Uac>!#<$"3B]tQ%)=]YT!#=7$$"3.+D"G:3u'>!#<$"3Mn)[<n-ff$!#=7$$"3-+](=5s#y>!#<$"38e1=p$f+%H!#=7$$"38]iSwSq$)>!#<$"3a%Qe.z.za#!#=7$$"3,+v$40O"*)>!#<$"3$R())p#es<3#!#=7$$"3!*\(oa-oX*>!#<$"3.PAj)RPIZ"!#=7$$""#""!$""!""!-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$"#5!""$""!""!$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7_o7$$!"#""!$!"!""!7$$!3SL$e9r]X*>!#<$!35'GV9$*z`Z"!#=7$$!3"om;HU,"*)>!#<$!3,b^-S'y]3#!#=7$$!3@+]PM@l$)>!#<$!3'))*\c[X%>b#!#=7$$!3RLL$e%G?y>!#<$!3O7\Z=crWH!#=7$$!3(****\(oUIn>!#<$!3@pQd$z"e,O!#=7$$!3xmmm"p0k&>!#<$!3AXE1hA.`T!#=7$$!3%*****\P&3Y$>!#<$!3M"oFHEuB2&!#=7$$!3MLLL$Q6G">!#<$!3#*o0<(4F3%e!#=7$$!30++v3-)[(=!#<$!3tr&GT(=$H'p!#=7$$!3amm;M!\p$=!#<$!3\(ziTJ.'4z!#=7$$!3#)***\7Y"H%z"!#<$!3A#R\y$QpM))!#=7$$!3LLLL))Qj^<!#<$!3%*[dh&foGl*!#=7$$!3ALLL=Kvl;!#<$!3()f/[Qu"p5"!#<7$$!3wmm;C2G!e"!#<$!3]#)*f/)=&eA"!#<7$$!3OLL$3yO5]"!#<$!35aK5F"*p@8!#<7$$!3&*****\nU)*=9!#<$!3#>J$>4nU49!#<7$$!3SLL$3WDTL"!#<$!3U^t_BJ+!\"!#<7$$!35++]d(Q&\7!#<$!3)yCotn=;c"!#<7$$!3gmmmc4`i6!#<$!3uw9,jzUF;!#<7$$!3KLLLQW*e3"!#<$!35zMAYO`z;!#<7$$!3w++++()>'***!#=$!3IHh6?-FK<!#<7$$!3E++++0"*H"*!#=$!33V5?;9Xz<!#<7$$!35++++83&H)!#=$!3Kd_;+r')>=!#<7$$!3[LLL3k(p`(!#=$!3hbgOe&\D&=!#<7$$!3Anmmmj^Nm!#=$!3-Y&Q'>lr')=!#<7$$!3(zmmmYh=(e!#=$!3`[i$e)4'=">!#<7$$!3+,++v#\N)\!#=$!3d7A#Qo:p$>!#<7$$!3commmCC(>%!#=$!3s#Q#R!)>Yb>!#<7$$!39*****\FRXL$!#=$!3UD#Rk?1?(>!#<7$$!3t*****\#=/8D!#=$!3'QZCjt[T)>!#<7$$!3<mmm;a*el"!#=$!3=Op"yBLJ*>!#<7$$!3jomm;Wn(o)!#>$!3O"\**o@7")*>!#<7$$!3IqLLL$eV(>!#?$!3WbqZD!*****>!#<7$$"3)Qjmm"f`@')!#>$!3!y9kQ'39)*>!#<7$$"3%z****\nZ)H;!#=$!3M!>y)GzM$*>!#<7$$"3bkmm;$y*eC!#=$!3?x!Q:+E[)>!#<7$$"3f)******R^bJ$!#=$!3]9BTRjKs>!#<7$$"3&e*****\5a`T!#=$!3jX1Z!*[Rc>!#<7$$"3&o****\7RV'\!#=$!3w3v=K*3u$>!#<7$$"3X'*****\@fke!#=$!3!)p%Hd4%37>!#<7$$"3_ILLL&4Nn'!#=$!3;6;f6gP&)=!#<7$$"3A*******\,s`(!#=$!3%\!)*\+/a_=!#<7$$"3%[mm;zM)>$)!#=$!30mED%yO(==!#<7$$"3L*******pfa<*!#=$!3?=p6Hq5x<!#<7$$"38HLLeg`!)**!#=$!3-0Y`,J<L<!#<7$$"3v****\#G2A3"!#<$!3IP)f"G=">o"!#<7$$"3:LLL$)G[k6!#<$!31R<Wh=.E;!#<7$$"3")****\7yh]7!#<$!3BrH1`Yvg:!#<7$$"3wmmm')fdL8!#<$!3%>'oq8\\!\"!#<7$$"3bmmm,FT=9!#<$!3ww2k<>+59!#<7$$"3FLL$e#pa-:!#<$!3SIGs'4#)*>8!#<7$$"3*)******Rv&)z:!#<$!3!RdD\A(RE7!#<7$$"3HLLLGUYo;!#<$!3ECg:wo#G5"!#<7$$"3_mmm1^rZ<!#<$!3;rz`43kB(*!#=7$$"3ILLe*3k**y"!#<$!3Y:4a_K/A*)!#=7$$"34++]sI@K=!#<$!3')RF(Q])p=!)!#=7$$"33+++S2ls=!#<$!3]hzw)*=nAq!#=7$$"34++]2%)38>!#<$!3Iil>BruJe!#=7$$"31+]i0j"[$>!#<$!3<dKYSLWk]!#=7$$"3/++v.Uac>!#<$!3B]tQ%)=]YT!#=7$$"3.+D"G:3u'>!#<$!3Mn)[<n-ff$!#=7$$"3-+](=5s#y>!#<$!38e1=p$f+%H!#=7$$"38]iSwSq$)>!#<$!3a%Qe.z.za#!#=7$$"3,+v$40O"*)>!#<$!3$R())p#es<3#!#=7$$"3!*\(oa-oX*>!#<$!3.PAj)RPIZ"!#=7$$""#""!$!"!""!-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$"#5!""$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7$7$$"33+++++++;!#<$"3%**************>"!#<7$$"33+++++++;!#<$!3%**************>"!#<-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7$7$$""#""!$""!""!7$$""#""!$""!""!-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7$7$$!3A+++++++S!#=$"3RUlA%z"ff>!#<7$$!3A+++++++S!#=$!3RUlA%z"ff>!#<-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7$7$$""!""!$""#""!7$$""!""!$!"#""!-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7$7$$"3A+++++++S!#=$"3RUlA%z"ff>!#<7$$"3A+++++++S!#=$!3RUlA%z"ff>!#<-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7$7$$"3U+++++++!)!#=$"3(fL#)zFII$=!#<7$$"3U+++++++!)!#=$!3(fL#)zFII$=!#<-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7$7$$"3%**************>"!#<$"33+++++++;!#<7$$"3%**************>"!#<$!33+++++++;!#<-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7$7$$!"#""!$""!""!7$$!"#""!$""!""!-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7$7$$!33+++++++;!#<$"3%**************>"!#<7$$!33+++++++;!#<$!3%**************>"!#<-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7$7$$!3%**************>"!#<$"33+++++++;!#<7$$!3%**************>"!#<$!33+++++++;!#<-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I'CURVESG6$%*protectedGI(_syslibG6"6$7$7$$!3U+++++++!)!#=$"3(fL#)zFII$=!#<7$$!3U+++++++!)!#=$!3(fL#)zFII$=!#<-I'COLOURG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I(SCALINGG6"6#I,CONSTRAINEDG6$%*protectedGI(_syslibG6"-I+AXESLABELSG6$%*protectedGI(_syslibG6"6%Q!6"Q!6"-I%FONTG6"6#I(DEFAULTG6$%*protectedGI(_syslibG6"-I%VIEWG6$%*protectedGI(_syslibG6"6$I(DEFAULTG6$%*protectedGI(_syslibG6"I(DEFAULTG6$%*protectedGI(_syslibG6"

To compute the integrand F \302\267 N, we first substitute the components of the parametrization of the surface into the components of the vector field. newfield := <eval(field[1],{x=surface[1],y=surface[2],z=surface[3]}), eval(field[2],{x=surface[1],y=surface[2],z=surface[3]}), eval(field[3],{x=surface[1],y=surface[2],z=surface[3]})>;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpV3o9Pg==

We define the integrand of the surface integral, integrand := simplify(newfield.normalvector);

LCoqJC1JJGFic0clKnByb3RlY3RlZEc2I0kieEc2IiIiI0YqKiQtRiU2I0kieUdGKUYqRioiIiUiIiItSSpjb25qdWdhdGVHRiY2IywmKiRGKEYqISIiKiRGLkYqRjZGMA==

set up and evaluate the double integral over this region: Int(Int(integrand, y = -sqrt(4-x^2)..sqrt(4-x^2)), x = -2..2); Int(int(integrand, y = -sqrt(4-x^2)..sqrt(4-x^2)), x = -2..2); int(int(integrand, y = -sqrt(4-x^2)..sqrt(4-x^2)), x = -2..2);

LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtRiM2JCwqKiQtSSRhYnNHRiU2I0kieEdGJyIiI0YxKiQtRi42I0kieUdGJ0YxRjEiIiUiIiItSSpjb25qdWdhdGVHRiU2IywmKiRGMEYxISIiKiRGNUYxRj1GNy9GNTssJCokLCZGNkY3RjxGPSNGN0YxRj1GQi9GMDshIiNGMQ==

LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtSSRpbnRHRiQ2JCwqKiQtSSRhYnNHRiU2I0kieEdGJyIiI0YyKiQtRi82I0kieUdGJ0YyRjIiIiUiIiItSSpjb25qdWdhdGVHRiU2IywmKiRGMUYyISIiKiRGNkYyRj5GOC9GNjssJCokLCZGN0Y4Rj1GPiNGOEYyRj5GQy9GMTshIiNGMg==

LCRJI1BpRyUqcHJvdGVjdGVkRyIjQw==

Note that we can evaluate the above integral more easily by converting to polar coordinates. Since the region is the circle of radius 2 centered at the origin, the limits of integration are simple. Int(Int((4+r^2)*r,r=0..2),theta=0..2*Pi); int(int((4+r^2)*r,r=0..2),theta=0..2*Pi);

LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtRiM2JComLCYiIiUiIiIqJEkickdGJyIiI0YuRi5GMEYuL0YwOyIiIUYxL0kmdGhldGFHRic7RjQsJEkjUGlHRiVGMQ==

LCRJI1BpRyUqcHJvdGVjdGVkRyIjQw==

To verify the divergence theorem, we will compute \342\210\253 Q \342\210\253 \342\210\253 div F dV, where Q is the solid bounded by the surface S defined above, and F is the vector field defined above. (Note that the partial derivatives of the components of F are continuous.) First, we calculate the divergence of F: divergenceF := diff(field[1],x) + diff(field[2],y) + diff(field[3],z);

IiIk

Next we set up the triple integral over the solid region, using cylindrical coordinates. The surface is the paraboloid 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, which in cylindrical coordinates is 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the region in the xy-plane is still the circle of radius 2, centered at the origin. Thus we have the following triple integral: Int(Int(Int(divergenceF*r,z=0..4-r^2),r=0..2),theta=0..2*Pi);

LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtRiM2JC1GIzYkLCRJInJHRiciIiQvSSJ6R0YnOyIiISwmIiIlIiIiKiRGLiIiIyEiIi9GLjtGM0Y4L0kmdGhldGFHRic7RjMsJEkjUGlHRiVGOA==

Which evaluates to: int(int(int(divergenceF*r,z=0..4-r^2),r=0..2),theta=0..2*Pi);

LCRJI1BpRyUqcHJvdGVjdGVkRyIjQw==

Thus verifying the divergence theorem for this surface and this vector field.

1. Given the vector field 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k and the surface bounded by the coordinate planes and the plane 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 a. Use Maple to graph the surface and the vector field together by modifying the above code (pay attention to your bounds on x and y). b. Use the Divergence Theorem to find the flux of the vector field over the surface. Do this by hand first, then use Maple to verify your result. 2. Given the vector field 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k, explain why \342\210\253S \342\210\253 F \302\267 N dS = 4 times the volume of S. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn

Stokes Theorem is another form of the fundamental theorem it allows you to convert line integrals into surface integrals or vice versa. The theorem states that the surface integral of the curl of a vector field is equal to a line integral taken around a bounding curve or 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

QyxJKHJlc3RhcnRHJSpwcm90ZWN0ZWRHISIiLUkld2l0aEc2JEYkSShfc3lzbGliRzYiNiMmSShTdHVkZW50R0YpNiNJNU11bHRpdmFyaWF0ZUNhbGN1bHVzR0YqRiUtRic2I0kuTGluZWFyQWxnZWJyYUc2JEYpRiRGJS1GJzYjSSZwbG90c0dGKEYlLUYnNiMmRi02I0kvVmVjdG9yQ2FsY3VsdXNHRihGJQ== Let S be the portion of the paraboloid z =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that lies under the plane z = 1 and the vector field F(x,y,z) : = (y - KiRJInpHNiIiIiM=, z - KiRJInhHNiIiIiM=, x - 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 The bounding curve C is then r = 1, z = 1 Parametrizing the surface S by the function G := (r cos(t), r sin(t), r2 )

KiRJInpHNiIiIiM=

KiRJInhHNiIiIiM=

F := VectorField(<y - z^2, z - x^2, x - y^2>); G := <r*cos(t), r*sin(t), r^2>; rrange := r=0..1; trange := t=0..2*Pi;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCInbzt3

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCInSywkKg==

L0kickc2IjsiIiEiIiI=

L0kidEc2IjsiIiEsJEkjUGlHJSpwcm90ZWN0ZWRHIiIj

Getting a picture of what is going on vfield := fieldplot3d(F,x=-1.5..1.5,y=-1.5..1.5,z=-.5..1.5 ): paramsurf := plot3d(G,rrange, trange): curve := spacecurve([cos(t),sin(t),1],t=0..2*Pi,color=red): display({vfield,paramsurf,curve},axes=boxed);

6(-%+AXESLABELSG6%Q"x6"Q"y6"Q"z6"-%*AXESSTYLEG6#%$BOXG-%'CURVESG6\[m7%7%$!3`v!p:j!\Y9!#<$!3FZ&3'\Q"fT"!#<$!3:">![w1P`Q!#=7%$!3YC4Vo$4Nb"!#<$!3s_9R]h3%e"!#<$!3%)3)>NKHm9'!#=7%$!30)H+\97%)["!#<$!3h,xL*ecVd"!#<$!39\O2iU7]c!#=7%7%$!39)4_,4ZOX"!#<$!3!fBk!326E9!#<$!3;F%pU([X=5!#=7%$!3&=!z%)4HNY:!#<$!35kd$>H*)Qd"!#<$!3()e[W6%fsE$!#=7%$!3Y,G%)="pg["!#<$!3Ctwc(p?rc"!#<$!3.^*4r%*y.y#!#=7%7%$!3lj%Q-"p`b9!#<$!3O.%*fh:kN9!#<$"3fb(p)**[4A=!#=7%$!3MO:w*3jWa"!#<$!3i'f+%Q%eVc"!#<$!3awK)HrM_$R!#>7%$!39l6+%3Lu["!#<$!3D#pf"G#*ei:!#<$"3+@PCLx><')!#?7%7%$!3'zO#GvTL_9!#<$!3'*\ae(>kXW"!#<$"3"oLeV.&opY!#=7%$!3.KwrCemZ:!#<$!3/]XT-eVb:!#<$"340))\3@<tC!#=7%$!3]BR"RpgG\"!#<$!3TibXiz!3c"!#<$"3(\h#)o5J([H!#=7%7%$!3)H-Hu.fRW"!#<$!3Oz.W"fDHX"!#<$"3IxD'\Hup_(!#=7%$!3,x4di4/c:!#<$!3k?'f&3W2Z:!#<$"3cy-=i&o,L&!#=7%$!31Y])Q3&y-:!#<$!3`-)))z"=?h:!#<$"3YoC7b4z0e!#=7%7%$!3w%=Y(z2)*H9!#<$!33MZ*3eJ3Y"!#<$"3kUmN]]sR5!#<7%$!3B:QD?#>+d"!#<$!3#fE0">%o"R:!#<$"3SV@'y1yT<)!#=7%$!3(z*4e%4<r^"!#<$!3/w)*[C#yDc"!#<$"3'zN0)ot[b')!#=7%7%$!3^)pjqO+'49!#<$!3oAs%3%H_o9!#<$"3MDatwVDG8!#<7%$!3[,j$Hj*R!f"!#<$!3KxF:fqZJ:!#<$"3..g$=0<.5"!#<7%$!3dvz#3X[^`"!#<$!3)>"y_1^5k:!#<$"3q%R%HIpm\6!#<7%7%$!3qM9[h/'=Q"!#<$!3&oG'H#4sjZ"!#<$"3Hl&=&Q&R"=;!#<7%$!3Hl&=&Q&R"=;!#<$!398Pq2ziB:!#<$"3qM9[h/'=Q"!#<7%$!3l"3>iRxkb"!#<$!3ln^<Jy#fc"!#<$"3_ecD#Q;IV"!#<7%7%$!38M)=C"pNd9!#<$!3mP_C'[[o#)*!#=$!3SC(=rz"\XT!#=7%$!3'e;"e(3VEa"!#<$!39>EB%Hs,;"!#<$!3gv7)G?3X&e!#=7%$!3^CJVP!ex["!#<$!3]u(4$zcCR6!#<$!3U!firH&\%[&!#=7%7%$!3UZQf&p&yk9!#<$!3#)*)RUm9kP**!#=$!39$[/sOE$38!#=7%$!3e_hS/V@N:!#<$!3"Qu9i*H4\6!#<$!3)G!)4&=zQxH!#=7%$!3'oIdp;za["!#<$!35IZ`H-5J6!#<$!3:NA`#\Dgh#!#=7%7%$!3'[xiR\cnY"!#<$!3r^va)z`T+"!#<$"3"[m/:V")>`"!#=7%$!39Ds.1NCL:!#<$!33"f4VM.(Q6!#<$!3;qBLH+5M5!#>7%$!3j-\__9i'["!#<$!3Y!)f!fU(\D6!#<$"3rqV0*GEm]#!#>7%7%$!3AW5d"[8NY"!#<$!3!f)\%3XEQ,"!#<$"3/ulZ7sBxV!#=7%$!3yb*G%=l[O:!#<$!3*o:7?pI!H6!#<$"3&yc!QI*>cw#!#=7%$!3q@U8a"y8\"!#<$!37H38$R`E7"!#<$"3.h)[sIXX6$!#=7%7%$!3]HCa`e+b9!#<$!3?,7`nNsA5!#<$"3k*4G*\V/Js!#=7%$!3\qvXYT*\a"!#<$!3gTfKvN8?6!#<$"3CcZ@2&)4Ec!#=7%$!3X_6$H6v-]"!#<$!3-0T*R%pNA6!#<$"3-^n3v%zN(f!#=7%7%$!3!3=OH5*oS9!#<$!3M$4;-&o*3."!#<$"3")y%GTO"z45!#<7%$!3?>Q1(*3Jf:!#<$!3X\5k#Hg>6"!#<$"3l!yV,$\^t%)!#=7%$!3G9\hV*yO^"!#<$!3gRPgt@gB6!#<$"3a%[uvc2_#))!#=7%7%$!3Ccm"='z^>9!#<$!3Ipja"Q(oQ5!#<$"3YyBY&[$*zH"!#<7%$!3wVL=Q?[!e"!#<$!3\t2Jh(pT5"!#<$"3"*\!4J%zdI6!#<7%$!3UzG%znZ7`"!#<$!3GE`JP;ND6!#<$"3"Gjv7ZCo;"!#<7%7%$!33UEM6*Q/R"!#<$!3!o+k2(*)oY5!#<$"3)y>Sq$fM(e"!#<7%$!3#zNd')3h&4;!#<$!3)f8$4s"oh4"!#<$"37-)fH1aET"!#<7%$!3_=)e\%ph_:!#<$!3.kTLU%Rv7"!#<$"3w&)o:jfZ]9!#<7%7%$!3vpZ=^#*fp9!#<$!3CQB1l$GA\&!#=$!3b"yIDQb&[V!#=7%$!3CI_")[2SI:!#<$!3j<03#\9\O(!#=$!3)y@puhW9l&!#=7%$!3(zlf^[aU["!#<$!3$GNA[h^l1(!#=$!3TGd_B3Op`!#=7%7%$!30;l5B=5x9!#<$!348,;WbK4c!#=$!3B+Pftmz1:!#=7%$!3%R[$*o<)*G_"!#<$!3yUF)HJ<yC(!#=$!32'e?@h<*yF!#=7%$!3$))zpCk1A["!#<$!3&>t@bC%4zp!#=$!3#)*)zv\`\.D!#=7%7%$!3WRibf@'*y9!#<$!3V"fdK;O7s&!#=$"3s.5Q!z"[N8!#=7%$!3cgPWSy.@:!#<$!3Wk_)Qp1f8(!#=$"3r8C/>Q'*3$*!#?7%$!3Qe!=dtXM["!#<$!3`S5Hd^L9p!#=$"3e-H0&Ha2i$!#>7%7%$!3en5RZ)3bZ"!#<$!3-:W[i^$o#e!#=$"3$o*41gDlzT!#=7%$!3UK*3E:"\C:!#<$!3'3WeYp2..(!#=$"32Xhz#e/K'H!#=7%$!3vH#G&4<&z["!#<$!3'*eBX4OIvo!#=$"3?M&paHtlA$!#=7%7%$!3BI'o_-@oY"!#<$!3M0r+()RnBf!#=$"31)4'Q6)R'Hq!#=7%$!3xp8tu*yJ`"!#<$!3_]d8q)oM$p!#=$"3#yvcd/.v#e!#=7%$!3!fiA\6Ph\"!#<$!3%*)>l&G'[Q'o!#=$"3SC8A!Htx3'!#=7%7%$!3<r')p7:M_9!#<$!3g%=&[lg95g!#=$"3%*3579Da"*)*!#=7%$!3#)G8I([ewa"!#<$!3Frwl"z'*p%o!#=$"3!4c2t0'))z')!#=7%$!31IY@XNu3:!#<$!3@"Qb0U,S(o!#=$"39LDPvt@U*)!#=7%7%$!3+1.sxCvI9!#<$!3,q!\YeU)*3'!#=$"3PUmew(eoF"!#<7%$!3*RpzA_Z#p:!#<$!3&ey$\s-Inn!#=$"3+'y%)>l7<:"!#<7%$!3MCyB*4?f_"!#<$!3Y`Q!=/*Q$*o!#=$"3<"QdFe2)y6!#<7%7%$!3-2jc8&z3S"!#<$!3\h#p'*Q#frh!#=$"3,h4Fxebl:!#<7%$!3)HpLk[?"*f"!#<$!3Q%ftuY]bo'!#=$"3)*Q!HF7WWV"!#<7%$!3#[X%\MHHZ:!#<$!3r0]"4rNy"p!#=$"3T_5F]1$GY"!#<7%7%$!3**4VOG&pO["!#<$!3")oR(fu!fv6!#=$!39.7DJ"\iX%!#=7%$!3,!pN;ZIj^"!#<$!3(fJS(RN75J!#=$!3&oz[(o3vVb!#=7%$!3]FAPh1"yZ"!#<$!3Kq\X)yzVu#!#=$!3fQc"f$)*H3`!#=7%7%$!3A=ebh4/"\"!#<$!3o*)p'>]$Q%H"!#=$!3aj/#)e[e5;!#=7%$!3y"=W%Q!f*3:!#<$!3?&HZPyI8*H!#=$!3\AQ*oUH^n#!#=7%$!3t1z$\oGgZ"!#<$!3XU.pjegaE!#=$!37d2/n([YW#!#=7%7%$!3'eb>-UBE\"!#<$!3UNB#ehX.T"!#=$"3%)[lDms2M7!#=7%$!3:W/yzlP2:!#<$!3]\>*)p'o`(G!#=$"3$4z[JiT\%>!#>7%$!3L0'zXn3vZ"!#<$!3!4'eFII/&e#!#=$"3E-_am]q&>%!#>7%7%$!3'fn+M7)z)["!#<$!3s#3$>DTdA:!#=$"3\%*)=7!4-yS!#=7%$!3.C$*fw=?6:!#<$!3#>?@0;SJw#!#=$"3TZ#Q;CO[1$!#=7%$!3\3P4D@1#["!#<$!3/PA0AVTQD!#=$"3(*H'=^:(>%G$!#=7%7%$!3+W-)Gmw)z9!#<$!3:&>^tQ.vi"!#=$"3=,"e+m#HCp!#=7%$!3+c(>rLB,_"!#<$!3w*3j$)*3@eE!#=$"3paZ3(>]G$f!#=7%$!37%z<y@E)*["!#<$!33l@mVWL>D!#=$"3_Ph"py.v9'!#=7%7%$!344S7#oibY"!#<$!3S(G!=YJ9?<!#=$"3-2]"))pS-y*!#=7%$!3"4*f(yJPW`"!#<$!3^(*R`R6dlD!#=$"3#Gc8E(y="z)!#=7%$!3p)G:)\>o,:!#<$!3MU0`hr*y_#!#=$"3'RP244C`+*!#=7%7%$!3yW?M`@LW9!#<$!3tJCY2,X,=!#=$"3*4]'Q)\W_E"!#<7%$!3@bzlYymb:!#<$!3>`=DyTE%[#!#=$"3QF\=IpKj6!#<7%$!3%H,&[VHU=:!#<$!3?U]v)4%o]D!#=$"3Y^N(4t#R&="!#<7%7%$!3a%z1p'Ga99!#<$!3$[t^g@qF)=!#=$"3e12Ia(4Ob"!#<7%$!3Y0K4LrX&e"!#<$!34]DmpS%HS#!#=$"3U$H*pX-RY9!#<7%$!3%)*yyWN/(R:!#<$!3XR>x.AyxD!#=$"3M?oD]Rgp9!#<7%7%$!35VECpou)\"!#<$"3n_>-Eyw2J!#=$!3['3W2StvX%!#=7%$!3*oNd28`7]"!#<$"3\LBpfk%z<"!#=$!3'H"fD*fECa&!#=7%$!3$HC2)pu:p9!#<$"3clvOWsm"f"!#=$!3R,R$>**[vI&!#=7%7%$!3=Eq=VNz0:!#<$"3Qo+9">@3*H!#=$!3x#GR6a/4h"!#=7%$!3#Q(H"oX1U\"!#<$"3i<Ud%4$*[H"!#=$!3(H+vXu4[n#!#=7%$!3nZ&yv"zjn9!#<$"34Luz>(Q>o"!#=$!3"obE7^nWW#!#=7%7%$!39J\-aG.2:!#<$"3tw**ffJIvG!#=$"3oG1.!yISB"!#=7%$!3')o](f9nH\"!#<$"3I4V6E6T59!#=$"3\#*zS&[1a%>!#>7%$!3%\``$eYLp9!#<$"3)*)eKOC&=`<!#=$"3#*Q:aP'of>%!#>7%7%$!3cR'p]vLG]"!#<$"3/<t$R^#GhF!#=$"3rgJsRP]wS!#=7%$!3Wg.$\Cmr\"!#<$"3)*opxr<VC:!#=$"3>")R8.MNmI!#=7%$!3;Q>^,%fRZ"!#<$"30(\%=PRT.=!#=$"3&)))eTmt0&G$!#=7%7%$!3!31%ec&)p$\"!#<$"3L)Q)H!))>=l#!#=$"3*[C[$4^9=p!#=7%$!3>RfTV9I1:!#<$"3q(*eT0W*Qj"!#=$"3)4h%zZx**Qf!#=7%$!3+>C^F(\8["!#<$"3A37y2uwE=!#=$"3w*4$3q$*)4:'!#=7%7%$!3<W$=aN`)z9!#<$"3udbK%y@Pb#!#=$"34=LtD$yjw*!#=7%$!3#el"eWm9?:!#<$"3cG()Q,D*>t"!#=$"3u^_pX-00))!#=7%$!39R[s6XD#\"!#<$"3)[<c.W5f"=!#=$"3MBjO!)Q=8!*!#=7%7%$!3&[a:b?M+Y"!#<$"3$[8v)f4KrC!#=$"3')eWezDJj7!#<7%$!39bW[%zl*R:!#<$"3>^"ReK$R9=!#=$"3^pp)*[)e_;"!#<7%$!3YEH!*)y(Q3:!#<$"3E:#*f(=kHy"!#=$"3%[G&R/")['="!#<7%7%$!3k")eQUgnJ9!#<$"3iJ')p')pd%R#!#=$"32o$p16&)=b"!#<7%$!3N=ThdRKo:!#<$"3Sac,*HP6*=!#=$"3#>jI$*)[6[9!#<7%$!3qjWKUw_H:!#<$"3pZx;9w6]<!#=$"3u^&*G,=eq9!#<7%7%$!3c#ed#RLF8:!#<$"3,:Agw^qdt!#=$!35#z_+9rNN%!#=7%$!3W<Cugms'["!#<$"3%3kS0oP%*\&!#=$!3)y?Z*f)Gkk&!#=7%$!3W"QF-3w!f9!#<$"3rW0ytfZ\f!#=$!3Wg.s_p^m`!#=7%7%$!3HK%fEC4)>:!#<$"3)Qr'*)*fPjC(!#=$!31(Qd">b%z]"!#=7%$!3rn0Md2>!["!#<$"3*>9YsD03h&!#=$!3'*)*obm(oxx#!#=7%$!3O))pG%*3*yX"!#<$"3I[%Hd'[qRg!#=$!3c"*e"*oR%G]#!#=7%7%$!3*>(R:w7q?:!#<$"33:6*>-Fd8(!#=$"3_w[!*)*RKN8!#=7%$!3,Gg%Qs)Hz9!#<$"3zS<:NeT@d!#=$"3'[8bm'HuC$*!#?7%$!3c:+V`^wf9!#<$"3&))e$*HuY56'!#=$"3kS+o_*[;i$!#>7%7%$!3+#46v=^i^"!#<$"3@ICi*)4_Dq!#=$"3Z_`MYU"[<%!#=7%$!3+3*)[7)[P["!#<$"3mD/_n=iJe!#=$"3V*y6l*G/oH!#=7%$!3;V80c,Mk9!#<$"3yxVfVM5ih!#=$"3El0*yb;$HK!#=7%7%$!3>A`G&>!*p]"!#<$"3QuRa)4&)y"p!#=$"3so#[Bq(36q!#=7%$!3#yn9Z!)4I\"!#<$"3]")))fexDRf!#=$"3:(e%za^0Ye!#=7%$!3w9'>!H;>r9!#<$"3@bEDx'Hm='!#=$"3Y&)))R+@H)4'!#=7%7%$!3=0!ouDFN\"!#<$"3(o/_%p7W=o!#=$"3orE1Yw>])*!#=7%$!3"[*>`UFZ1:!#<$"3+43p(e,(Qg!#=$"3<)*eOD4B@()!#=7%$!3MD=8I]i!["!#<$"3')HR0a-Eph!#=$"3(>b./Rfc'*)!#=7%7%$!3PUJ;nY\v9!#<$"3k@F/V0wLn!#=$"3H7qv8Imq7!#<7%$!3jdo$GL0X_"!#<$"3AM,59BQBh!#=$"33;W"[T3z:"!#<7%$!3!o;FADHd\"!#<$"3i)Q^**\w'4h!#=$"3epQe,0K#="!#<7%7%$!3BECjI'y-X"!#<$"3@0,i&[/1m'!#=$"3uo**Q1@>f:!#<7%$!3wtvOp8s\:!#<$"3m]F_r$Ql>'!#=$"3DJ+h$*y!3W"!#<7%$!3V]I@;o:<:!#<$"3(3^2(*ec01'!#=$"3IV'Gv#)QkY"!#<7%7%$!3KUKme$)=E:!#<$"3dZftTE5f6!#<$!3bs#*[>9zbT!#=7%$!3odnLT;"QZ"!#<$"3M`>@6]aP)*!#=$!3*os50e3U%e!#=7%$!3QK">ppFxW"!#<$"3[_TrNq*G."!#<$!3F"=.@ab'ya!#=7%7%$!3U7NmZ\BK:!#<$"3sp`ap')))[6!#<$!3,Vz1F>_58!#=7%$!3e([OB0lxY"!#<$"3rIx6LZoR**!#=$!3,VjkeB>vH!#=7%$!3b$4b%oS+Z9!#<$"36XW[6!e>/"!#<$!3+=u(zj!y9E!#=7%7%$!3Wv'[;7<H`"!#<$"3c"GL%)H!oQ6!#<$"3IqG')=8qJ:!#=7%$!3cC8NyG3n9!#<$"3ChQUWo</5!#<$!3MAW"H!*)HJ5!#>7%$!3)[h6Psw!\9!#<$"3[BmPmv3\5!#<$"3&4u`@\9#3D!#>7%7%$!35iAF?'R%G:!#<$"3lU-lR:YG6!#<$"3^!QBe@v#pV!#=7%$!3!ztF(z.cr9!#<$"39+p?.cR95!#<$"3QhP.F>etF!#=7%$!3**R15A.a`9!#<$"3-\"\w5=U0"!#<$"3\)z=#e'f!>J!#=7%7%$!3?#[-[)\B>:!#<$"3'\'[O?xR=6!#<$"3:f.&H2WC?(!#=7%$!3!y^(>:]w!["!#<$"3%yF#\A%fW-"!#<$"3r'\#>%y)pac!#=7%$!37E6E5Oyf9!#<$"3GFRHm4!o0"!#<$"3S%\b)oaz*)f!#=7%7%$!3U7=4AS#f]"!#<$"3U"eZC0^)36!#<$"3;^J&*y3c.5!#<7%$!3e(=3z(f2%\"!#<$"3Ph&4/41S."!#<$"3Eeq*=y>e`)!#=7%$!3-<@1\ELn9!#<$"3vo3Uq+&[0"!#<$"3K"3HriL0'))!#=7%7%$!3N'Q>5Hs()["!#<$"3i$z@)>&z-5"!#<$"3y!R,')\Z!)G"!#<7%$!3l81)*3xA6:!#<$"3=\`.BwdU5!#<$"3gP+(*HR_S6!#<7%$!34I!3PS)fz9!#<$"3"4z;h^`Y/"!#<$"3!*fH\>PYs6!#<7%7%$!3*4]%4]?Zm9!#<$"3a_-bRXw#4"!#<$"3JgrII!H`d"!#<7%$!3,*\0*\z_L:!#<$"3D!*oI.E4]5!#<$"3oRGpp4nC9!#<7%$!3mCH)oQLH]"!#<$"3e3cKA#oS."!#<$"3"R1PmR*Gd9!#<7%7%$!3S.EepprP:!#<$"3QF<3Lt(He"!#<$!3-)*=_74\oQ!#=7%$!3g'R</.$Gi9!#<$"3hs#=pmAqT"!#<$!3(>5yu34:8'!#=7%$!3U#Gha%*oZV"!#<$"32SP]6H)GZ"!#<$!3j4OH!G^:k&!#=7%7%$!3y//&3V"[V:!#<$"3LL'4Ge*ot:!#<$!3C4))=ER\@5!#=7%$!3?&f\"p&=lX"!#<$"3mm.></JE9!#<$!31xa_f.AkK!#=7%$!33&y(RsRrM9!#<$"3^6kQ0Z>#["!#<$!3brLFVelyF!#=7%7%$!3sf%GU/ZTa"!#<$"3&*\*=+;PVc"!#<$"3E)oWEjG<#=!#=7%$!3FS:xbH&eX"!#<$"3/]5)*RGmN9!#<$!3C.EtS?dJR!#>7%$!3af81Lq8P9!#<$"3DbBk:9[*["!#<$"3#oNw'>Y'zj)!#?7%7%$!3Do6@eS$)R:!#<$"3YR7HA%Q\b"!#<$"3R2%)>x7$)fY!#=7%$!3uJ))yTf;g9!#<$"3`g(3xdh]W"!#<$"3BM(ec'e-$[#!#=7%$!31$z[rbI;W"!#<$"3S&z?6X'z%\"!#<$"3RL4.i!=V&H!#=7%7%$!3gayKb7&3`"!#<$"3]!R2f4Dca"!#<$"3;vQu**p:$\(!#=7%$!3SX@nW(["p9!#<$"3\4E4/\Pa9!#<$"3q!)*)Rde)RO&!#=7%$!3odt&e'\_Z9!#<$"3k(=c@;'y(\"!#<$"3;Ly'>$\'\#e!#=7%7%$!3&G$fFKXn<:!#<$"3yKd(3j@m`"!#<$"3E8RNyw\K5!#<7%$!3:nSsnaK#["!#<$"3AnU7p$yLY"!#<$"3AP%*)yy^kC)!#=7%$!3I-&e_)eq`9!#<$"3Y>RS;Au'\"!#<$"3+Jy/]cY'p)!#=7%7%$!3V=Uu?Up+:!#<$"3!zE:AO&=G:!#<$"3SAeojhL;8!#<7%$!3c"yb#zdI*\"!#<$"34KZyPY"=Z"!#<$"3)fg&)[ENA6"!#<7%$!3i%zIWd02Y"!#<$"3#*36p0u(\["!#<$"3)>m4dSCk:"!#<7%7%$!3X)>G!Q7dz9!#<$"3a,=(>wG/_"!#<$"3<3!f)4Q9-;!#<7%$!3a,=(>wG/_"!#<$"3X)>G!Q7dz9!#<$"3#=*49!>cyR"!#<7%$!3&)*)=%fd?S["!#<$"3KKP$)y[&3Y"!#<$"3=1'Hsv&3U9!#<7%7%$!3[$fz*Ga`>5!#<$!3'[(3w'pK6X"!#<$!3UmG>P$*3:S!#=7%$!3J\v(Qr@L7"!#<$!38D"RKIn)[:!#<$!3dLr!Gm5\)f!#=7%$!3R\2Kuuts5!#<$!3C**Qh&yhvb"!#<$!3:gDeN=Veb!#=7%7%$!3EE&>(3&*eE5!#<$!3nG@o]$)[g9!#<$!3MrlG@K[z6!#=7%$!3a;w8MwE;6!#<$!3KryJ\;^R:!#<$!3o9xUk5B1J!#=7%$!3=kE"yQ052"!#<$!3*p;[(oQt^:!#<$!3nQfr>z2*o#!#=7%7%$!3au&f!z+NG5!#<$!3M!4(zDz=p9!#<$"38tu:AJ$\m"!#=7%$!3Dovzjq]96!#<$!3m4H?u?"3`"!#<$!3d]/'e$phjB!#>7%$!36'35f))HP2"!#<$!3"flj]@,%[:!#<$"3j*RL/42Gv"!#>7%7%$!3-f5d3T'\-"!#<$!3%RWwLABuZ"!#<$"3%)Hzh*=`'>X!#=7%$!3y$3'GMI*y6"!#<$!31cNiwndA:!#<$"327#RK&R?BE!#=7%$!3;AKAS)R73"!#<$!3tzrnPx#oa"!#<$"38/@;dszLI!#=7%7%$!3uE>)4"HA;5!#<$!3(e3UcqDa["!#<$"3jy^#RpTpQ(!#=7%$!30;_(=BMm7"!#<$!389zN%HuX^"!#<$"3Cxw@j6?qa!#=7%$!3!pT+h")eG4"!#<$!3(>$f*pJ_ca"!#<$"3"ymJ7m(=&)e!#=7%7%$!3w%4R4,A:+"!#<$!3+$*Q0)f2N\"!#<$"3[^OJuL'o-"!#<7%$!3.[!=>8N89"!#<$!3,2h%>S#\1:!#<$"3&\0#HG[z-$)!#=7%$!35*oK!=%*G26!#<$!3S9-&QFJVa"!#<$"3,*)GHQ9TG()!#=7%7%$!3uF]pQn#)*z*!#=$!3FVpM-"R?]"!#<$"3si&fco(R;8!#<7%$!3,Sw)*oW(G;"!#<$!3ucIl(*3'z\"!#<$"3ml="Hut@6"!#<7%$!3CQKj.:FC6!#<$!3;!y)QKIVV:!#<$"3v'*>`B&*Qc6!#<7%7%$!3WG"pPExz]*!#=$!3(>(4JGXK6:!#<$"3XS+wiW%og"!#<7%$!3#)H-[;%f?>"!#<$!3.G!*oran)["!#<$"3af*Rs`bJR"!#<7%$!3!\Fy$e$>X9"!#<$!3Su;*>:(eV:!#<$"3A2>uY0UR9!#<7%7%$!3I*pN*yTMI5!#<$!3u751^?>?5!#<$!3e(R<&eD(*4V!#=7%$!3]V9#R'H^76!#<$!31Ihz"4lE7"!#<$!3U-E[Tu-!p&!#=7%$!3aTc;tX"32"!#<$!3=pX*45]'>6!#<$!3AXkm%zO7R&!#=7%7%$!3Ya;iKszP5!#<$!3K7/G!)fUI5!#<$!3ez?V*RP[Z"!#=7%$!3L)[N-"*f]5"!#<$!3ZIndi6V76!#<$!3W1AG')o(3"G!#=7%$!3"*>4s_Ieo5!#<$!3q2L-u4l76!#<$!3zsVE_eh@D!#=7%7%$!3'*>!Q!GJwR5!#<$!3'*>!Q!GJwR5!#<$"3.<>)p4/rO"!#=7%$!3%G7>[,%4.6!#<$!3%G7>[,%4.6!#<$"3t.6&*eJtYh!#?7%$!3:iuG[xMq5!#<$!3$zY_H?<%36!#<$"3wEqDL)f9W$!#>7%7%$!3KDuG5KXO5!#<$!3a:y?;(f$[5!#<$"3X%y\3$[%)=U!#=7%$!3Z<(pD$RS16!#<$!3CF$\mU(\%4"!#<$"3Xdt+7B,CH!#=7%$!3bLNa=2qw5!#<$!3!*)QT/z!e16!#<$"3*3H[dx^V?$!#=7%7%$!3s%3t"=OcF5!#<$!35Z9+Va]c5!#<$"3'>,Rtk%G%3(!#=7%$!32eSoCNH:6!#<$!3o&pb)*p^j3"!#<$"3!R%Q!)4#eGx&!#=7%$!3l3#R2/Xv3"!#<$!3K'\F>VAc5"!#<$"3#)Q)GBO!zcg!#=7%7%$!3XP$eXF5A,"!#<$!3[s!RG()4Z1"!#<$"3=<X)[e'Rl**!#=7%$!3M0))HookI6!#<$!3Jq!=+FZ"y5!#<$"3m_Sa')>.1')!#=7%$!3[fMM5jn,6!#<$!3e(pR<KtX5"!#<$"3tqgLbIM+*)!#=7%7%$!3GCrY(*[P$*)*!#=$!3%*GJ%o@nN2"!#<$"3?@03!3[eG"!#<7%$!3OI/6`'>N:"!#<$!3%Q,9g#**Gp5!#<$"3=24\[LsU6!#<7%$!3$*z;ACJ&)=6!#<$!3jvM28E*R5"!#<$"3w:v&=w5P<"!#<7%7%$!3w9`Z:#yUe*!#=$!3+'RM%4cS$3"!#<$"3Y!)\^8u]v:!#<7%$!3I6'48KHW="!#<$!3yYFUL:Xf5!#<$"3_>]['e#\C9!#<7%$!3g"\gs9E(R6!#<$!3&RYAw4CX5"!#<$"3JMSib#)=d9!#<7%7%$!3aB$f!y\3U5!#<$!3k6L"Q`sp)e!#=$!3q3&)ohz07X!#=7%$!3D>yzk@x+6!#<$!3BW&HLKq,(p!#=$!3%=\6$Q?%z[&!#=7%$!3'o[eGMQq1"!#<$!3B4X/X"y&\o!#=$!3lOa$z$plw_!#=7%7%$!3!*e'p(y^p\5!#<$!3Cqi?=Kt)*f!#=$!3z^s)**y"Qu;!#=7%$!3)Q[(3k>;$4"!#<$!3h&eO*Q'4%eo!#=$!3'R.Fd\K8h#!#=7%$!34%QD<4WZ1"!#<$!3e57gJsQon!#=$!3WJ4T<nZ3C!#=7%7%$!3@*e!yI)4<0"!#<$!3U;5gb3'45'!#=$"3At4xE)3h;"!#=7%$!3e`l27t9"4"!#<$!3XR=a,?=cn!#=$"3!za/!=giCE!#>7%$!3w?'*\'4Tf1"!#<$!3$H!)[4%\k9n!#=$"3***[]^[x5e%!#>7%7%$!3:`j%)4h[[5!#<$!3?LC[R$pI>'!#=$"3y*>*e^Zc8S!#=7%$!3k*y5I.rV4"!#<$!3mA/m<N2km!#=$"37UzE"R#HHJ!#=7%$!3"4iF$Q7=r5!#<$!3[ly$HaJ7p'!#=$"37,OCtHu?L!#=7%7%$!3;,;\cfnR5!#<$!3AzTE'46nF'!#=$"3'fq*)*o([\(o!#=7%$!3jTbO'="=.6!#<$!3lw'y3wJ/e'!#=$"3!*\J:)3%>#)f!#=7%$!3%z4pXjs73"!#<$!3<$p@q9x_o'!#=$"3xI6RY6[vh!#=7%7%$!3Su;oY,(R-"!#<$!3HAAlTZRfj!#=$"3F2'RD\jQv*!#=7%$!3Qoa<'*p))=6!#<$!3eL1\:"[x\'!#=$"3di*)))y]c<))!#=7%$!3yh$eP[q_4"!#<$!3kyroNQ;ym!#=$"3S%4D=jz--*!#=7%7%$!3dZQ%4[L,+"!#<$!3$e,5/$[!4X'!#=$"37+WKv"yUE"!#<7%$!3A&H8>mBF9"!#<$!3/SGtE!QiS'!#=$"3DGqC`KHk6!#<7%$!3lL)4.4iE6"!#<$!3+Hj:C,_um!#=$"39Jc(QiSf="!#<7%7%$!3&3*Q'GuEAo*!#=$!3JU^d1f;al!#=$"3y'pSf5oHb"!#<7%$!3q`2doWju6!#<$!3c8xc]p(HI'!#=$"3@.$fS*=.Z9!#<7%$!3[\]z]n*Q8"!#<$!38#3mgV"4#o'!#=$"3p(zEnvn*p9!#<7%7%$!3aC)*e'>yb0"!#<$!3"GF`g#fD!e"!#=$!3Nz.@Cfa=Y!#=7%$!3C=tEY*ys3"!#<$!3675mf$eaq#!#=$!33?'*yvSX"Q&!#=7%$!3f;/v;Jtg5!#<$!3y)3yU*oH<D!#=$!3LdTy:'zi@&!#=7%7%$!3j'["3(*e!H1"!#<$!3'R+)4u+n'p"!#=$!3sCwrzM)ox"!#=7%$!3:ccxX7&*z5!#<$!3&4G;;@W!*e#!#=$!3Ihm*f!3$)3D!#=7%$!3\.P(="Qwe5!#<$!3_z:+%zg#HC!#=$!3jD#*Hh&f.N#!#=7%7%$!3d#4TCMlX1"!#<$!3'*=8a#4!31=!#=$"3<xxri:$Q1"!#=7%$!3@]gT+=Hy5!#<$!3'f'H<$>M'zC!#=$"3e2l`e')RZO!#>7%$!3RcsJ&Qi*f5!#<$!3wP9**GG5lB!#=$"3XmU="ew4;&!#>7%7%$!39h$Gv7*=h5!#<$!3;<UY&[uf!>!#=$"3!)Rm>U371R!#=7%$!3l"yG`,o;3"!#<$!3wn+D+)R(zB!#=$"35-0m+jtOK!#=7%$!3gJ<zD0Gk5!#<$!3yz2NG*fJL#!#=$"3uD#G^Ii;Q$!#=7%7%$!3>$=f`jIG0"!#<$!334%3zVmJ*>!#=$"3#))*eC7aqfn!#=7%$!3ffz\2l-!4"!#<$!3%e(e!y%ya#H#!#=$"3/dp*[WPu4'!#=7%$!3[pCz&zML2"!#<$!3;M7j[v0NB!#=$"3%Q<cemA3C'!#=7%7%$!3**))pRm3vP5!#<$!3q`B)H&[Au?!#=$"3S[j9M,EN'*!#=7%$!3!Q:gkF1^5"!#<$!3AJ>tK%*[6A!#=$"3V@AGP%oh$*)!#=7%$!3E(zzZm$R(3"!#<$!3a0%orFY`L#!#=$"3=(*paHi_(3*!#=7%7%$!3SqzP3w"R,"!#<$!3x#)z:IXWl@!#=$"3"f(4VunL_7!#<7%$!3Rs"zW`R*G6!#<$!3:-jbb(p-7#!#=$"3Y_/9aYBw6!#<7%$!3w_(ov#=$[5"!#<$!39Rd$z]QDL#!#=$"3k:Q]Y7r#>"!#<7%7%$!3y%e)y$pey")*!#=$!3#RI&yX"=4F#!#=$"3%*fav[akS:!#<7%$!3U%GyMFr5;"!#<$!3*4)*G*Rhz9?!#=$"30SXC^XNf9!#<7%$!3?osH*R9h7"!#<$!3vq`]"*pTSB!#=$"3dj(HoaapZ"!#<7%7%$!3ej@=q"=-2"!#<$"3S;C%3'3P,F!#=$!3Me"QVK<8i%!#=7%$!3?z\ns*QE2"!#<$"3jp=([UVVe"!#=$!34T=mvEoy`!#=7%$!3eW75f>?_5!#<$"3T\r(4Zr=#=!#=$!3OKP6n#3Z@&!#=7%7%$!3E#yES&=$p2"!#<$"3T&>%*[tA")e#!#=$!3.cJq(HRwx"!#=7%$!3_g.$))GDf1"!#<$"3g!4?3b"f(p"!#=$!3rH6,))\23D!#=7%$!35E&e][R20"!#<$"3u%3Z*[967>!#=$!3wZ<5A5$*\B!#=7%7%$!3ByI@8.(z2"!#<$"3zLFu7v^zC!#=$"3Hw\Qe/rj5!#=7%$!3bkSkHo)[1"!#<$"3B_:(Hx'>1=!#=$"3p:X'=q4'[O!#>7%$!3)>&RWZxM_5!#<$"3&*Gb<YU%=)>!#=$"3z/(otAj;;&!#>7%7%$!3$\(yg)3%*R2"!#<$"3$e_*\W>xwB!#=$"3ppHB\v#>!R!#=7%$!3'yE\U0j)o5!#<$"3?gZ@TB%*3>!#=$"3@sTi$fH4C$!#=7%$!3X$phslOj0"!#<$"3OLaceu=D?!#=$"3ire(*[)RSQ$!#=7%7%$!3fzX9\_"e1"!#<$"3Mkh1q"\`G#!#=$"3)ol=X1"yVn!#=7%$!3?jDr$*=/x5!#<$"3p@"[c6l.+#!#=$"3**)>CEzhL6'!#=7%$!3YTL0V40j5!#<$"3+ZQ+b`_;?!#=$"3\r"[(o:&)\i!#=7%7%$!3Z1(\6)pm_5!#<$"3))=@]P1Q1A!#=$"3"4sJ7#4C4'*!#=7%$!3KOuqh,>!4"!#<$"39n@@[OLz?!#=$"3#*[o>]w=i*)!#=7%$!3t3V%>tjy2"!#<$"3ruugd?s#)>!#=$"3m_jx#zyA5*!#=7%7%$!3WGL,cE#4."!#<$"38:q+S#Q:7#!#=$"3Jg,,m)*>]7!#<7%$!3N9Q%o[M>6"!#<$"3!4F2d/wT;#!#=$"31o7ci:Py6!#<7%$!3_c(\y(4G&4"!#<$"3q$40B)>f')>!#=$"3]PcVYG#R>"!#<7%7%$!3e$)[R.)>_***!#=$"3;.&o))R2&=?!#=$"3es)Ru_n%R:!#<7%$!3Waw^i^LV6!#<$"3'GyXo)o?nA!#=$"3TF,csC`g9!#<7%$!35dt^.=?;6!#<$"3?(G(3!yx=)>!#=$"3+sQD8Cix9!#<7%7%$!3zgqvJ<3%3"!#<$"3&y#zLboMfp!#=$!3m6wjN"4=_%!#=7%$!3*>3+6Tv(e5!#<$"3-G\!=+'z(*e!#=$!3)))QiV'3>ya!#=7%$!3d!**)GlvLU5!#<$"3s5t!G/w)zh!#=$!3HbY;Y"G6F&!#=7%7%$!31gs4@(p,4"!#<$"3`%)o&[2ai&o!#=$!3S9fj76tw;!#=7%$!3s#))f<U(o_5!#<$"3LrfG#y))3+'!#=$!3Nr$yI<$)*3E!#=7%$!3-TR-:0bT5!#<$"3,\)39xV/F'!#=$!3#G)*48oWrS#!#=7%7%$!3U&4'4lD#34"!#<$"3%[Bz;/Ufv'!#=$"3Svc'o)yxl6!#=7%$!3OZ5wxX._5!#<$"3.@OY:3?,h!#=$"3KDv0<a$zi#!#>7%$!3t%o%[JSsV5!#<$"3%[&GN8)R>M'!#=$"3U)*yPsQ&He%!#>7%7%$!3yeZgrRU'3"!#<$"3Bmy,d))pem!#=$"3$[<t'fUZ.S!#=7%$!3+%Q_7<Lk0"!#<$"3i*)\7+SW)>'!#=$"32nR=$)GQRJ!#=7%$!3Hp!\FH$=[5!#<$"3/wnQ$*)fTR'!#=$"3uY;*R:kkK$!#=7%7%$!3Wa0!Q(>xx5!#<$"3M`]v!GE"ol!#=$"3%Q*HH:"y(Qo!#=7%$!3M)ec!p^3l5!#<$"3_-yQwl,*G'!#=$"3.i)\=uk$=g!#=7%$!3VP%GX%**R`5!#<$"3QqfR#fX]T'!#=$"35A9gZ%*)f>'!#=7%7%$!3d"oM+%y]l5!#<$"3;E.^U(yx['!#=$"39'350M'R'o*!#=7%$!3@hC#GI\t2"!#<$"3rHDj9TOpj!#=$"3r$[=4BK])))!#=7%$!3oM0%GDeS1"!#<$"3n#>uFlGxG'!#=$"3fR`1]E`e!*!#=7%7%$!3ne1g+AgZ5!#<$"3ph2`,)o&4k!#=$"3Zvf/kB#oD"!#<7%$!37%[cA%\D&4"!#<$"3<%47c0uvW'!#=$"3!HXDX1\<<"!#<7%$!3&fVn8/#H'3"!#<$"3S0h$GGZ&pi!#=$"3c'enT(z;!>"!#<7%7%$!3G"\'e%zl*>5!#<$"3uhI?TM%eJ'!#=$"3'yRoL!=aZ:!#<7%$!3^^1F[8*G7"!#<$"39%zRfT*HTl!#=$"38-;j'>eCX"!#<7%$!3iq$)ft,N06!#<$"3)eG9K$['fF'!#=$"3p!)4O,W/t9!#<7%7%$!3EnFO2)Rj4"!#<$"3Fn/ZrdS@6!#<$!3C+iDXC$pK%!#=7%$!3`vV\Nt^Y5!#<$"3_vmQr8X@5!#<$!3I+Quav1tc!#=7%$!3RiTjl(*[J5!#<$"3/d%y!*Rff0"!#<$!3T)>3Vv?;Q&!#=7%7%$!3K_n)[xG@5"!#<$"3qT)3(Q%4A6"!#<$!3:xIea(\%y9!#=7%$!3[!RqzOG2/"!#<$"34,$[TqZ1."!#<$!3))378JXE2G!#=7%$!3]@FBnvlJ5!#<$"3`lG0VC9l5!#<$!3#H]xFpn&>D!#=7%7%$!3(e2_Q2sF5"!#<$"3Y5Vn6?2.6!#<$"3*\tXwZ]mO"!#=7%$!3#p10!p]3S5!#<$"3LKG=J^yR5!#<$"39%HpD4&4#>'!#?7%$!3z>-$)R4cM5!#<$"3LslM*R-C2"!#<$"3IR\F(zJSW$!#>7%7%$!3=u!eD*4V)4"!#<$"3'35k:A_S4"!#<$"3(zrabO]j?%!#=7%$!3go!*H]hUW5!#<$"3#>/$H@\!)[5!#<$"3$RU-tx1l$H!#=7%$!3kZCxl]")R5!#<$"3&zsykBg!y5!#<$"3(>Cn)yfV6K!#=7%7%$!3%H:$yXLh*3"!#<$"3x*Q"\GVQ&3"!#<$"3q(3xe$*y</(!#=7%$!3&)*)R2(zVK0"!#<$"3-`dO9GZd5!#<$"3=odE@RO:e!#=7%$!3&oQDP))*oY5!#<$"3h,GA`hJ#3"!#<$"3H%yC3c!*33'!#=7%7%$!3'H"Qe>l.x5!#<$"375/.y+Jx5!#<$"3J&4jq!Rq!))*!#=7%$!3#)HLFB1#e1"!#<$"3nKn#[1Zb1"!#<$"3_uaOkYs!p)!#=7%$!3n9r!*=S._5!#<$"3U.w%ocaN3"!#<$"3e^N!zsi$[*)!#=7%7%$!3MZU6@*y01"!#<$"384Q$f=V'p5!#<$"3_rtofu-u7!#<7%$!3X&*Gu@#yA3"!#<$"3lLL#p&R@t5!#<$"3'o0%))oRaa6!#<7%$!3v#GK%Q^C"3"!#<$"3+e'QVAp,0"!#<$"3l&=wM!HT!="!#<7%7%$!3?AXM(H;x."!#<$"3%=\x8ne81"!#<$"3kOf\_T[j:!#<7%$!3g?E^X3906!#<$"3%4lz9Z)\"3"!#<$"3OjS]Ze^O9!#<7%$!31k'3qy1y4"!#<$"3O-'****=?G0"!#<$"3dmO!>H0SY"!#<7%7%$!3!Hn"peHq26!#<$"3'\)ypnH#ya"!#<$!3#)eh')4x8OS!#=7%$!3*)pa;%=a^."!#<$"3.:@IKq<_9!#<$!3;TQ8!HiQ'f!#=7%$!3/i18B0o>5!#<$"3%*z!*obh`'\"!#<$!3uk4jvw\Yb!#=7%7%$!3IFU7#R@M6"!#<$"3kckaU1MR:!#<$!3&Q0IAr_O="!#=7%$!3[:Ht]dVH5!#<$"3OVNXd$f1Y"!#<$!3<KU[t:1-J!#=7%$!3lM#[o7L6-"!#<$"3gfLK!)f'f]"!#<$!3f39JrQr'o#!#=7%7%$!3q[PrfG>96!#<$"30@MpDhzI:!#<$"3%eF4:1TWm"!#=7%$!33%RVJGk'G5!#<$"3&*ylIuQ?p9!#<$!3X![y$HjpeB!#>7%$!3Ek[0.@)\-"!#<$"3DIM1/gO8:!#<$"3fjw!=,(fb<!#>7%7%$!3"Qd6-"y256!#<$"3l%>xu+qA_"!#<$"3%*\2Z&))on]%!#=7%$!3)*obkK$zF."!#<$"3N0G_#**HxZ"!#<$"3'>R'Qd#)3OE!#=7%$!3Qyhp3'R6."!#<$"33v0g'Gj#>:!#<$"3&H^eR\-6/$!#=7%7%$!3kN-2#R)Q,6!#<$"3j,)eq)\#R^"!#<$"3FVQ,?[CWt!#=7%$!392py](o9/"!#<$"3P)>TH,vg["!#<$"3h7!Hr.)*G^&!#=7%$!3?)pT'QgbR5!#<$"3#f13w]JT_"!#<$"3'\I3kC'R4f!#=7%7%$!3;QvUG!H')3"!#<$"3^Ww?dp"f]"!#<$"3yZ?i39:=5!#<7%$!3i/'HW6GU0"!#<$"3[bBzUI3%\"!#<$"3-#43_[9**Q)!#=7%$!3T,#)3@"\10"!#<$"3gBl<@/qG:!#<$"3U*yzr<2yx)!#=7%7%$!3nMw7m!4@2"!#<$"3yNCy82B)\"!#<$"3FTP5Ch)GI"!#<7%$!363&Hn2[22"!#<$"3Bkv@'Gp<]"!#<$"36(onWI&oD6!#<7%$!30<m;Xk0-6!#<$"3'zZ:6^JH^"!#<$"3,\<J2/0k6!#<7%7%$!34uu#p!44^5!#<$"3U6eJ\PX!\"!#<$"3!3VL**zm+f"!#<7%$!3qo'HfBm<4"!#<$"3d)=%o]ia4:!#<$"3>pl1+K$*49!#<7%$!3/=!eP63v4"!#<$"3y8>"HI=WZ"!#<$"39IlXoK$*[9!#<7%7%$!3Fd.ld!>U"f!#=$!3.b!eUqdJZ"!#<$!3R&)f!*RSu\T!#=7%$!3g)\#\*zBH%p!#=$!3'\%>u&HUo_"!#<$!309S4gfD]e!#=7%$!3j_yA%)49el!#=$!3,j`$G_tia"!#<$!3BUP^HV3#[&!#=7%7%$!3Rk$o?y!H%)f!#=$!3,XH/X['>["!#<$!31G(>v[![68!#=7%$!3Z"\u]2_G(o!#=$!3*\0d\:N!=:!#<$!3odX>)zLU(H!#=7%$!32>B)))eQ[b'!#=$!32fcxYY<T:!#<$!3<(ywj9PUh#!#=7%7%$!3CZ^oU!y)**f!#=$!3]nw%Rdj-\"!#<$"3iF$QR$*[#Q:!#=7%$!3j3xX9[Edo!#=$!3\KB0Ekt4:!#<$!3C)**oO0vn4"!#>7%$!3cOXQ(Q,!*f'!#=$!3`tLvf4]P:!#<$"361pMY.4rC!#>7%7%$!3tz'3TPw@'f!#=$!3w2:>T<R)\"!#<$"3y0K`%)GT+W!#=7%$!39wT.$[m\*o!#=$!3D#\3)e#3;]"!#<$"37ORKeUWUF!#=7%$!3RgM<@'o:o'!#=$!3G=X$>@'4M:!#<$"3FRwc&*\S,J!#=7%7%$!3K&o`Vn&=oe!#=$!3)Gh]!HYs1:!#<$"3ua'[*)oueF(!#=7%$!3aq"*y#=d*))p!#=$!37(Q\4PvK\"!#<$"38,U>o"o7e&!#=7%$!3R*oj62Dxy'!#=$!3fE!pce02`"!#<$"3JIAHU7;[f!#=7%7%$!3tHr^LME6d!#=$!3I^pTRvk::!#<$"3#GL#*ea9k,"!#<7%$!39EdiB%ze9(!#=$!3q[IegCN%["!#<$"3jT_]7JG2%)!#=7%$!3e>!eRMYc"p!#=$!3VfVT06(z_"!#<$"3uTGCo\l(y)!#=7%7%$!3@*HgYOeN[&!#=$!3+$)3$Q*)[a_"!#<$"3M*=MG]$>18!#<7%$!3lcD[#\%ett!#=$!3+<"ph5^XZ"!#<$"3/RstDzPA6!#<7%$!3#*4Dw@**Guq!#=$!3,=![V!QQE:!#<$"34`:el^<i6!#<7%7%$!3T))=UoGjz^!#=$!3t#H-(HP>O:!#<$"3w@e#*)oYjf"!#<7%$!3Xn4s))*4vn(!#=$!3F2xHqi!QY"!#<$"3ByT26Ll.9!#<7%$!3YV7/dV)>F(!#=$!3Vd0re*fh_"!#<$"3X<V;^EPX9!#<7%7%$!3UPH:F,AAg!#=$!3<Gj$G$[MV5!#<$!3oT5w&p2$\W!#=7%$!3Y=**)*HF#\$o!#=$!3i93-5B^*4"!#<$!3()e*QUI#p]b!#=7%$!3dehA4f;Al!#=$!3d**Hk%)e926!#<$!3w&>p;aNAJ&!#=7%7%$!3[^M^Yw"y4'!#=$!3y-'["*)>&G0"!#<$!35;!>o"\u7;!#=7%$!3R/%H1@D$fn!#=$!3+S&3P:0+4"!#<$!3#*p_*)o$pHn#!#=7%$!3#QQ^Q"oC3l!#=$!3i,[z3_;,6!#<$!3i,CfTSUVC!#=7%7%$!3Y`DzVoj:h!#=$!3&*=^.'y"\h5!#<$"3*p")=2ia[B"!#=7%$!3U-.N8g]Tn!#=$!3$Q-AoNl83"!#<$"3X4h_y!or$>!#>7%$!3!z:Qs&3">a'!#=$!3#o<g!HjC(4"!#<$"3EoG[lvH">%!#>7%7%$!3R4&eXx&3xg!#=$!3>k5V>Lyp5!#<$"3;-o*p_8k4%!#=7%$!3ZYVe#3d+y'!#=$!3fygUBQ2t5!#<$"3tR.'ehVk/$!#=7%$!3'*H'G()4xxh'!#=$!3QhSQ?2!R4"!#<$"381P#*p(oPF$!#=7%7%$!3*om#pd=Wxf!#=$!3!z21>![Sy5!#<$"3)Q%p"eS<F(p!#=7%$!3(*)=]%**4qzo!#=$!3*[1^4M_W1"!#<$"3*>"fK^aU%)e!#=7%$!3/VmA)4'3?n!#=$!3OE*RT\y04"!#<$"3yun:rv/?h!#=7%7%$!3zL?c_eN3e!#=$!3Au2xVn&z3"!#<$"3Q7N#f=4,')*!#=7%$!33A3e/qy[q!#=$!3coj3*R+\0"!#<$"3Zd]]&Q>8r)!#=7%$!3P&*ea*3"R\o!#=$!33v$3!=9,)3"!#<$"3<nx>t'R+'*)!#=7%7%$!3pp1h*fESc&!#=$!3EPwF"oH')4"!#<$"3)[VBmQ)4v7!#<7%$!3='=KvD;JH(!#=$!3_0&z:YFU/"!#<$"3\$*z%>/tM:"!#<7%$!3X]4p.%R_,(!#=$!3<&*3'z>rm3"!#<$"3>Oi],d!)z6!#<7%7%$!3H\GHyqtW_!#=$!3.1)f?Ki,6"!#<$"3R1Snc)GQc"!#<7%$!3e1+&)ydS7w!#=$!3wOtz?[pK5!#<$"3g$*fKV6<O9!#<7%$!3_fbZWg#>A(!#=$!3mfdV(y&z'3"!#<$"3>'48!\)4QY"!#<7%7%$!3[tV'Q$\kPh!#=$!3iERT&=&*48'!#=$!3ep$*o<b(el%!#=7%$!3Q#[yK#z\>n!#=$!3CH*G<nZhs'!#=$!3UI1J#[CTM&!#=7%$!3/QoplR*\Z'!#=$!3K3q'RxtJr'!#=$!3AV!Q/@9^>&!#=7%7%$!3GO)*y:5S<i!#=$!3B+#["><<Oi!#=$!3yo`#*4D1>=!#=7%$!3f>INT=uRm!#=$!3kbY*z8r4i'!#=$!3D<*)yv<lmC!#=7%$!3*Q9C0?GMX'!#=$!3E*[tj!)*yTm!#=$!3MI\#peWkK#!#=7%7%$!3wBXxfQmPi!#=$!3IP?'>TcyK'!#=$"3*pjK$>+XD5!#=7%$!37K$ot**y%>m!#=$!3e=3=XkGHl!#=$"3X4zQ#497.%!#>7%$!3B&\p"3n#oZ'!#=$!3#)f'e50#Q*f'!#=$"3fQd*p0&fy`!#>7%7%$!3g$4%**o]u*>'!#=$!3PV%o'e>!>T'!#=$"3'fkvoo<^)Q!#=7%$!3Ei([")y(Rdm!#=$!3]7WZ)*3CXk!#=$"3%f\")fXRxD$!#=7%$!3OkUL9X!)[l!#=$!3&*o5k9$\&ol!#=$"3;9aTF3d$R$!#=7%7%$!3#)e4@tvi&4'!#=$!3JMGcF0&4]'!#=$"3/(*=$RG::w'!#=7%$!3/(*=$RG::w'!#=$!3c@+eHB>cj!#=$"3#)e4@tvi&4'!#=7%$!3")QYk#e`%\m!#=$!39^%eufE_`'!#=$"3%y+*f"\'zRi!#=7%7%$!3+d!=+M=k"f!#=$!3\&y%>d(=Rg'!#=$"3#z$Ry.&*3X'*!#=7%$!3)))zCr^C2%p!#=$!3Qq![**4CKD'!#=$"3#>jWw1Rj#*)!#=7%$!39U,!G>?3y'!#=$!3X%>u&p\%)4l!#=$"3bxS"=5`>3*!#=7%7%$!3"R%\W^9ric!#=$!3k!))pyS1$=n!#=$"3aPc&3W'[_7!#<7%$!3'>"zp09V%>(!#=$!3AvHF\k$)Qh!#=$"3$3z:x)\3w6!#<7%$!3N?=L=A@^p!#=$!3[)z'[v])z\'!#=$"3Ez?a(QEE>"!#<7%7%$!3#Rn+#Hq:S`!#=$!3'epG"zmWPo!#=$"3T^lyjdtR:!#<7%$!3&>=Uz#e)p^(!#=$!3-gT,yhp>g!#=$"3e[M@OUEg9!#<7%$!3e")))>:jbgr!#=$!3Xv93i!>D]'!#=$"3H9ClE.Zx9!#<7%7%$!3C=?3w'o4F'!#=$!3OO`,Lt%G$=!#=$!3C#RM)=P>mZ!#=7%$!3jP31"=uhe'!#=$!3b[*)p_p'GX#!#=$!3I3c;"G1QB&!#=7%$!3)[<>1;hyS'!#=$!3+!e_ok&euB!#=$!3/;(Q;>lD8&!#=7%7%$!3&)["H&*4ArM'!#=$!3)e<bd_?k%>!#=$!3hG_uxfDF>!#=7%$!3-2Phd2-5l!#=$!3/4"f*fPHRB!#=$!3Ud!pzIe%eB!#=7%$!32\Y^tyO&Q'!#=$!3;#*QW))fH"H#!#=$!3%p$G$\E+^E#!#=7%7%$!3u-0W/(\`O'!#=$!3VO_-v)[V/#!#=$"3]Ot.E_sF"*!#>7%$!39`Bq_Jz"\'!#=$!3[[!*o5aOTA!#=$"3>Upnf!*)z:&!#>7%$!3a-$*R*z3rR'!#=$!3A-@2+"3>C#!#=$"3gHWF^@Y<g!#>7%7%$!3C-mq)44=L'!#=$!39oF>!zqp7#!#=$"3^,o.XuRmP!#=7%$!3i`iVePLDl!#=$!3y;:_&\V(e@!#=$"3QS.#ypfkP$!#=7%$!3&*e91X7%4Z'!#=$!3Qbk%4UfzA#!#=$"35Bjc'p$)3Y$!#=7%7%$!3G;UJ-@vKi!#=$!3i70yf$)\9A!#=$"3;Q:Mz]\Vm!#=7%$!3gR'G[v!RCm!#=$!3HsP$f#f@r?!#=$"3s<8!yxZO@'!#=7%$!3.$\%o)=xDd'!#=$!3Kj0(QBzB>#!#=$"3*G#=_[Cr1j!#=7%7%$!3LS/^5#)f_g!#=$!3%*e/sl`#GK#!#=$"3%)3'H2(eEE&*!#=7%$!3a:CjYYa/o!#=$!3)f#Q**>*))G'>!#=$"3+h*)p+F;X!*!#=7%$!3N,ya29D,n!#=$!3Bw#fR,O^;#!#=$"38-4Z#fC$\"*!#=7%7%$!3U<&\'))yP)z&!#=$!31Tb-&pq<W#!#=$"3GXi&>Z))*R7!#<7%$!3XQL\o\weq!#=$!3'Qu)o!fVR%=!#=$"33$=:m&He)="!#<7%$!3F#\r>#zEro!#=$!3NQ3/h>R`@!#=$"3k!=grd7(*>"!#<7%7%$!3c"oEqFS%ya!#=$!3)=l_#z!f=c#!#=$"3whuvgkbE:!#<7%$!3Iuh6!e-(yt!#=$!3/L;Y1_&Qs"!#=$"3CQDCRNWt9!#<7%$!3*p;%eCrZzq!#=$!3Y'Rpkv)pf@!#=$"3_@y1CG%\["!#<7%7%$!3wBEOVnr;k!#=$"3pf3"*y$)*fW#!#=$!3w6f6GRPrZ!#=7%$!35K-y8hUSk!#=$"3LEM!o!frR=!#=$!3B)3%)=2E'G_!#=7%$!3`FXO5N"4K'!#=$"39zH1wp]m>!#=$!31aXxy!G'H^!#=7%7%$!3Vgre=4$3['!#=$"3]lRt9DkPB!#=$!3V3b1?$o!H>!#=7%$!3W&pb&Q>Jwj!#=$"3`?.)4xr![>!#=$!3gx([c'fkcB!#=7%$!3d!eS,0puI'!#=$"3&)pSmbv&p0#!#=$!35:u&)*osSE#!#=7%7%$!37GQywHv)['!#=$"3QS?p*f-7C#!#=$"3b`$[fqWW7*!#>7%$!3vF!f.))*Qoj!#=$"3kXA-'o6X/#!#=$"3_Efwz&p7;&!#>7%$!3ThEs-UYEj!#=$"33cVG6$*pG@!#=$"3\rg\k@K>g!#>7%7%$!3ou1-,![=X'!#=$"3o\>Wa%=z:#!#=$"3gq%y3%>FcP!#=7%$!3>"=Ah&[H0k!#=$"3MOBFJezF@!#=$"3Hr'y>?&e'Q$!#=7%$!3j%ob](*HvP'!#=$"3_o-9[O!G>#!#=$"36M5")GZimM!#=7%7%$!3U)4*=?@#HP'!#=$"3S$*fT-kky?!#=$"3vw[*)\O?@m!#=7%$!3XdP&pt?U['!#=$"3i#H)H$)y12A!#=$"37zzC2#RfB'!#=7%$!3g`nG%*R-<l!#=$"3k$=PVQ]*H@!#=$"3vXZ(eS^$>j!#=7%7%$!3)p`C*Q(*p<i!#=$"3p'oU`.c^(>!#=$"33D>SJ#p)4&*!#=7%$!3!*=$=#=JWRm!#=$"3M*fr.De0J#!#=$"3wWm-S$f:1*!#=7%$!3Q0YRA$z^h'!#=$"3gTLimdj`@!#=$"3B`8qy7ie"*!#=7%7%$!3QYW!R_u>(f!#=$"3]_;(*z:j_=!#=$"3)y$Hb:9CR7!#<7%$!3[4%QKLo^)o!#=$"3_LEu0F3LC!#=$"3\!\=I,I$*="!#<7%$!36uDaslovn!#=$"3#G"=1fGgo@!#=$"30E=l[h8+7!#<7%7%$!3KQ+bX)=Gl&!#=$"3if)*\$eL(G<!#=$"3P)eYyEZi_"!#<7%$!3a<Gf6SK/s!#=$"3TEW@-2)pb#!#=$"3j6M:KFvt9!#<7%$!3(=')oY+Z=)p!#=$"3FbfQK9<l@!#=$"3r^4_K"=^["!#<7%7%$!3U`5^=@Y]l!#=$"3KE<y2x#>r'!#=$!3KH*QN$)>Bn%!#=7%$!3X-=jQ2o1j!#=$"3cH6O\^@Xh!#=$!3oq5Ym,oF`!#=7%$!3xu?0wY>Ei!#=$"3yOTw_)Q_K'!#=$!3mq_A#\!z&=&!#=7%7%$!3)RIx</T#4m!#=$"3uOo9]h]=m!#=$!3-&G3T!4@B=!#=7%$!3*=bl`"=!zC'!#=$"38>g*pqO'Qi!#=$!3-,gg"Q.DY#!#=7%$!3I%f?%p.:Fi!#=$"3F]5#\1O]T'!#=$!3esc6+D4CB!#=7%7%$!3D1)>oKHhh'!#=$"3%)eD.iC5Hl!#=$"3]G]y$f")[-"!#=7%$!3i\IKIN,Ti!#=$"3.(H5^RS!Gj!#=$"3V%*R'yM)*o.%!#>7%$!3832wAjthi!#=$"3CV^q;,V%['!#=$"3+y)\w&z"=Q&!#>7%7%$!3&y$GC9W3ul!#=$"3uPf]x$>WW'!#=$"3URM#f:e'pQ!#=7%$!3,=+!HWeIG'!#=$"38=pjzMs7k!#=$"3[-P$p)*)>tK!#=7%$!3p!=oQ8FLL'!#=$"3+S<XyZcOl!#=$"3X>+5&=OBS$!#=7%7%$!3)eFzn:K8\'!#=$"3)*zNO+2"eO'!#=$"3$)HvKy2F<n!#=7%$!3)*zNO+2"eO'!#=$"3)eFzn:K8\'!#=$"3/E`")y?()Rh!#=7%$!3'y)*4cCJ6Z'!#=$"3!fnPqJ+Ba'!#=$"3fUxGkD)[E'!#=7%7%$!3t,,l1_7mj!#=$"3)fEU*=a*=G'!#=$"3'36oN\Fje*!#=7%$!39aF\]w,"\'!#=$"3))*e+#QuCvl!#=$"3(*e/'y2,^)*)!#=7%$!3&>'Q*)[)*)Rd'!#=$"3g9JK$)z*[Y'!#=$"32Jx@:/F:"*!#=7%7%$!3J$3"4m5)H;'!#=$"3=BBX)RdF<'!#=$"3>"*>$419![7!#<7%$!3cs<0"zhTp'!#=$"3oK0peaQ%o'!#=$"3=P%RwOd0="!#<7%$!35mi>!yMxo'!#=$"3\Q^j0$))3Y'!#=$"3/*4^,<i^>"!#<7%7%$!3R$*o\![=:'e!#=$"3M&p(eDc8Xg!#=$"30)*[WzMEP:!#<7%$!3[ifkwVi&*p!#=$"3_g^bJs+7o!#=$"3&>5b0_OFY"!#<7%$!3B&QS&z-%Q(o!#=$"3adIg&p`HY'!#=$"3OU9Z!3s)y9!#<7%7%$!3qAR7)p&=qm!#=$"3!GhJfF"H)4"!#<$!3v&e!=y3DtW!#=7%$!3;L*=!fr&p='!#=$"3**Hb#p'ecW5!#<$!3C9%>=7\n_&!#=7%$!3afJqL()3Ih!#=$"3!z_P*zGsq5!#<$!3sN5Oh+m)H&!#=7%7%$!30`UQFbFHn!#=$"3Blv-n)H)*3"!#<$!3S\T:+qu<;!#=7%$!3#Gge(Ht'y7'!#=$"3bx&HeFFI0"!#<$!3iO,c&Gnzm#!#=7%$!3doK)RIna9'!#=$"3VCvM$=(Rz5!#<$!3c/t(Q#zeSC!#=7%7%$!3%z;EWz"=Qn!#=$"3uYw!)zQN"3"!#<$"3MSW?iLDM7!#=7%$!3%zo;F1h*=h!#=$"3/'\\IE.:1"!#<$"3!f()pOm!=V>!#>7%$!3%3#*H"Qs`)='!#=$"3cQ]zzx"f3"!#<$"3Ov"))[i1Z>%!#>7%7%$!3cTj([#*3rp'!#=$"33gg'3GDI2"!#<$"3Gn3RPS#43%!#=7%$!3I9lEKR.gh!#=$"3r#3"*>'=$)p5!#<$"3huiY0J$>1$!#=7%$!3:v9S)p"Hki!#=$"3iRx!frU24"!#<$"3vVWy86b#G$!#=7%7%$!3dHaDes!4h'!#=$"3P#HI#>!o]1"!#<$"3b*>P+]%pCp!#=7%$!3IEu)))fNiC'!#=$"3T]oiB"*yx5!#<$"3Kcc5d$[C$f!#=7%$!3+`b1)H(\)Q'!#=$"3g<i:3K=$4"!#<$"3p;@v[fFZh!#=7%7%$!3FJfq@-y&['!#=$"3pKwgtcLd5!#<$"39_BSotZv(*!#=7%$!3gCpVNEOrj!#=$"345&\#p9_&3"!#<$"3o<i-.7&fz)!#=7%$!3/7g$[&z"*pl!#=$"3K!)[VIOZ'3"!#<$"3%*R![(Q[-3!*!#=7%7%$!3I#*3(R3HXJ'!#=$"3w#p1*fWw[5!#<$"3pER1h^&\E"!#<7%$!3ej><tPhUl!#=$"3-]/&Ho#4%4"!#<$"3o,v]nihj6!#<7%$!3#4NZZ5t@n'!#=$"3"[(4S"zu_2"!#<$"3R>.c"ycb="!#<7%7%$!3uqTL44Gmg!#=$"3H*)=^iD-Q5!#<$"3R\tjQ$\]b"!#<7%$!37&o3y%>'3z'!#=$"3]`_M!eM[5"!#<$"3g]EOh1&\W"!#<7%$!3a(H#yK2&pz'!#=$"3)ySeam&ps5!#<$"35*QBUs(yo9!#<7%7%$!3A*\:v:AZy'!#=$"3?(ef$33-E:!#<$!3I#HseXld<%!#=7%$!3kcti*p?C2'!#=$"3!GTS;>zRZ"!#<$!3p2x7WXBCe!#=7%$!3cgBR-0/Lg!#=$"3%o_E1eW<^"!#<$!3Tn?=<0Lna!#=7%7%$!3gvWnn3#R%o!#=$"3q:=P2c#z^"!#<$!3@E+,k.`;8!#=7%$!3F!Qo%*)>A8g!#=$"3I%=GERu?["!#<$!3#)fUq@R=pH!#=7%$!3)3c9c$ROig!#=$"3<Aoa(yA,_"!#<$!3=v(\0$RP6E!#=7%7%$!3wM.:D*eS&o!#=$"3O@ocx&H(4:!#<$"3#)H\2o$pw`"!#=7%$!35@D*>$R3.g!#=$"3kyJVA/F!\"!#<$!3Y<].&Rz44"!#>7%$!3twm_&fCV6'!#=$"3#**\]`p2k_"!#<$"3[Ul<6kPuC!#>7%7%$!3mry3on!\"o!#=$"37V&Q*4)z:]"!#<$"3*f'[?&y[dQ%!#=7%$!3@%)\0*3OA/'!#=$"3)oXh+>?%)\"!#<$"3!fF_wN3rv#!#=7%$!3-,4F&=Pk>'!#=$"3O-4Ajz5J:!#<$"3'*)*\i`$>(4J!#=7%7%$!3$G`yFye$Hn!#=$"3)Q<(eP`k$\"!#<$"3_Cve#*)e#Hs!#=7%$!3/BVOuSyFh!#=$"37EGTiYN1:!#<$"3NJ`bkR)yi&!#=7%$!3sX]dvX4Aj!#=$"3oo)R3ZFR`"!#<$"3wp,s1=fuf!#=7%7%$!3i?r6K(*H-m!#=$"3+3N2`F'f["!#<$"3-b(fqeut+"!#<7%$!3DNd-DJ%[D'!#=$"3+#\EpCPS^"!#<$"3s?5$3q#o(\)!#=7%$!3r'Qv`%*z!>l!#=$"3y>.S*H^8`"!#<$"3wIxd'Q5*Q))!#=7%7%$!3c)*o`mV^Nk!#=$"3WA%)yu"*>y9!#<$"3Y]T"3j=IH"!#<7%$!3Jdfg!\G;U'!#=$"3cx:@D3!=_"!#<$"3"zFdxz_b8"!#<7%$!3=t>F4XsCn!#=$"3!pQo/\;L^"!#<$"3t56n]^kp6!#<7%7%$!3emmAtD?=i!#=$"3hQZ=#)z^p9!#<$"3SOexsA9"e"!#<7%$!3G*=;RGS*Qm!#=$"3Qh_"y,#[I:!#<$"3fjTAFx&)=9!#<7%$!3)RL9)4)='4o!#=$"3Q))e0Pq@*\"!#<$"3(R]'*>O$*RX"!#<7%7%$!3tCTK>Ho@;!#=$!30u"f`zTP["!#<$!3"GO'f.;5mU!#=7%$!3Yg,Rm8.kE!#=$!3%f#3k/#ei^"!#<$!3=POS'R)*Qt&!#=7%$!3'="QU`J(oM#!#=$!3tw_&Q5W&Q:!#<$!3NJD')o56;a!#=7%7%$!3OBeWci&Hp"!#=$!3uzF#3TFC\"!#<$!3Fp@8.%)oD9!#=7%$!3ah%o#H!eFf#!#=$!3E?s<*esv]"!#<$!3w;@e#)e-gG!#=7%$!3^q\.fxX\B!#=$!3Bm'\X#35L:!#<$!3zn6))3F[\D!#=7%7%$!34rfZI^=2<!#=$!38H'RrUQ2]"!#<$"3"*Gu;JjgF9!#=7%$!3#QJQ_:H&yD!#=$!3)3PgGdh#*\"!#<$"3qn-**RS(4l*!#A7%$!3#RR!\'GsZR#!#=$!3GtkPN(f%G:!#<$"3W]PN])>%)4$!#>7%7%$!3dC]"R*=^l;!#=$!3`QMb=z74:!#<$"3]A+Db,=%H%!#=7%$!31g#*z"R--i#!#=$!3YhlW"3s3\"!#<$"3S>rg()pn[G!#=7%$!3!\olEv"HpC!#=$!3'Q&H1xy*R_"!#<$"3hEXr.wjhJ!#=7%7%$!30N&)=z;hk:!#=$!3lgkYe7/=:!#<$"3/&fwde^L<(!#=7%$!3')\d_1E5@F!#=$!3NRN`T(e>["!#<$"3$3Em8F"z$o&!#=7%$!3!['z"3MS`c#!#=$!3w0\>y%*4?:!#<$"3m"Q`&R0H1g!#=7%7%$!3w[a[k8;)R"!#=$!3VH4!ecDy_"!#<$"3G!*[#[$yD15!#<7%$!3VO)G7#Hb()G!#=$!3dq!*>MW<s9!#<$"3*pmzJA])3&)!#=7%$!3/L]$pdE&)o#!#=$!3%R(*e\aes^"!#<$"3E[2!*HACX))!#=7%7%$!3%e89-bM+;"!#=$!3UEl%o'[gQ:!#<$"3];I4`*4dH"!#<7%$!3A\,]N(zc7$!#=$!3dtM:L^Rh9!#<$"3(=TyaZhG8"!#<7%$!3rf61">uw%G!#=$!3$zX,$Q/o::!#<$"36zQ70#>"o6!#<7%7%$!3ggj:Jogt%)!#>$!3YeS>ONB]:!#<$"3'*)H(\CE8&e"!#<7%$!3')[')f-ONQM!#=$!3aTf!QYm(\9!#<$"3.,F]vt'[T"!#<7%$!3q4cp[>&z/$!#=$!357b5zf]::!#<$"3H_aD$)3t^9!#<7%7%$!3mN"RPM>Us"!#=$!3&Q()Hj\LT0"!#<$!3%*Q>h.8VoX!#=7%$!3E\^(>%\\hD!#=$!3$*os_YOs)3"!#<$!3hh!)Q'po:V&!#=7%$!3!f3Q5b+[I#!#=$!3Q'=#yj-\*4"!#<$!3ekH6pRpW_!#=7%7%$!3=)H<v#o6.=!#=$!3<$Qg1"o^j5!#<$!3#3)yv'>`'G<!#=7%$!3u')p>euf#[#!#=$!3ifn>K.Mz5!#<$!3\0k&*)3hqb#!#=7%$!3?:$ed`$3&H#!#=$!3MA\6bNE$4"!#<$!3([a@">bqxB!#=7%7%$!3Qn")='))f!>=!#=$!30')f]je>s5!#<$"3gF^i$o>S7"!#=7%$!3`<h_*RamY#!#=$!3tc6Nz7mq5!#<$"3g-IY\u^XI!#>7%$!3mbD!ycg0L#!#=$!3i1+4)oc$)3"!#<$"3eN)p1e<(>[!#>7%7%$!3u'=Tm[NKx"!#=$!3jq!4f+B53"!#<$"3qeV@(o"Q"*R!#=7%$!3!z4t!*zyC^#!#=$!3;s![p8M=1"!#<$"3>$yUcXv9:$!#=7%$!3ghGg&p(p)R#!#=$!3ZU`l()Q"Q3"!#<$"3JVs(*)[?LL$!#=7%7%$!3K>nv"Q!*=m"!#=$!3)*QpF5kw!4"!#<$"325;$z#3()po!#=7%$!3flv&R!R#Qi#!#=$!3!Q?!eK24_5!#<$"3zX7@H?F()f!#=7%$!3;)*Gi2'pR\#!#=$!3MB6NTj'*z5!#<$"3]6;Zu-Oyh!#=7%7%$!3NpSf_gV!["!#=$!3ih;lMdm,6!#<$"3=`O$3L!Q_(*!#=7%$!3H:-7L#y_!G!#=$!3<"[0#39>T5!#<$"3l;\fS#[!>))!#=7%$!3E"eB9`)HBE!#=$!3MXC5cgDx5!#<$"3e5Mnl07@!*!#=7%7%$!3sXz5HD"yA"!#=$!3Y@qz+;U86!#<$"3p*))p#>qCj7!#<7%$!3LRjgc<!z0$!#=$!3L@,1UbVH5!#<$"3oQ:I4WKl6!#<7%$!3_8w$4f@;z#!#=$!38g%=AvMf2"!#<$"3`04Ew__'="!#<7%7%$!3U/;C?'H>1*!#>$!3c()zaZ#ob7"!#<$"3UzR:G.s]:!#<7%$!3ZC,pB8_zL!#=$!3Bb"4`*))G<5!#<$"3d?g%=nz#\9!#<7%$!3!*3t6SMR**H!#=$!3c*3suL?i2"!#<$"37N3==ACr9!#<7%7%$!3$fk4Ox#=L=!#=$!3s(Qu8nF#Ri!#=$!3#ph9w:VBy%!#=7%$!3**QY57:`_C!#=$!3;o%od=:zh'!#=$!33$Q&QUol<_!#=7%$!3ZhtD"=rZD#!#=$!3)[ns<&e0Sm!#=$!37f(y\m3M7&!#=7%7%$!3cK/S)z"y>>!#=$!3**fbm?&)HWj!#=$!3H'p2zr5'R>!#=7%$!3O_QJ([KfO#!#=$!3)eHxkLWG^'!#=$!3u*e1yc.hM#!#=7%$!3_2XsT=9NA!#=$!3_d3+=C(oc'!#=$!3m&H*=%G&4eA!#=7%7%$!3U^geRC?Q>!#=$!3yaPN+(GmV'!#=$"37R%48+Y\7*!#>7%$!3\L#Gh%=^ZB!#=$!34,"*ycT^?k!#=$"3dR[S%Go2;&!#>7%$!3f(y!=oWWiA!#=$!3a2["G/">9l!#=$"3xMPROz.>g!#>7%7%$!3U5"z+>Ys)=!#=$!3'foUB[J=`'!#=$"3iGytm9kzP!#=7%$!3[u^j&4o%)R#!#=$!3#*p,![P6`K'!#=$"3E8$>hn:KO$!#=7%$!3"yg8<z%zEB!#=$!3u&3wMv)emk!#=$"3/xf[/XP`M!#=7%7%$!3i!)eTI@,n<!#=$!3MG#Qgc05k'!#=$"3:f)pVi**=l'!#=7%$!3e/%)Hb@q=D!#=$!3aFY5"HPh@'!#=$"3s'*HxKKC0i!#=7%$!3h"y@'fw<BC!#=$!3W3$o3t`qU'!#=$"3K!RW#yr%>I'!#=7%7%$!3F7f/rcmz:!#=$!35K^7<)\)en!#=$"3^p]g#\O0_*!#=7%$!3ls$oYh[gq#!#=$!3wBx,SIH)4'!#=$"3L+N#)y?*30*!#=7%$!3UPmZ#**)*fb#!#=$!3x+m@,*)G,k!#=$"3/sN4xId_"*!#=7%7%$!3'G6#>PzHF8!#=$!3,2h'Q*Ggyo!#=$"3e#))>+rd%Q7!#<7%$!30s@_[jTeH!#=$!3&)[nFj*R&yf!#=$"3yX:b=P6!>"!#<7%$!3M1`WS&**fs#!#=$!3Y"o#*Qs+AR'!#=$"3IDXt*\!e+7!#<7%7%$!3?@$e$Rp"3,"!#=$!3[4SnXje(*p!#=$"3E1g*e[dX_"!#<7%$!3&Q'fNYt*[F$!#=$!3PY)o9^c&fe!#=$"3u$*R59DWv9!#<7%$!3sQ4*3\`G$H!#=$!3E^#Q<lv1S'!#=$"3Q.NU<i2'["!#<7%7%$!3Yh&e]A5$p>!#=$!3)**zp7['zQ>!#=$!3qALnTut-\!#=7%$!3YBdlgSS;B!#=$!3&\[WW!y"pM#!#=$!3GxmKeDE(4&!#=7%$!3XN&z$Rb;$=#!#=$!3FwcQ<5'zI#!#=$!3-$p_^jY^0&!#=7%7%$!3hIe+'e$Rb?!#=$!3hIe+'e$Rb?!#=$!3;Je+'e$Rb?!#=7%$!3Ka%3(*p?.B#!#=$!3Ka%3(*p?.B#!#=$!3([X3(*p?.B#!#=7%$!3-gYgJJdg@!#=$!38oOn0EKCA!#=$!3kk"R'oyW#>#!#=7%7%$!3v:%[D#z0w?!#=$!3nJe0%\C1:#!#=$"3iMM7lp7Nz!#>7%$!3;pe;jjl4A!#=$!3D`%e;z*3N@!#=$"3uW3f?te]j!#>7%$!3a"****HKuY=#!#=$!3c-XWT=Os@!#=$"3UT!ep@]Op'!#>7%7%$!3w3Lz,G%H-#!#=$!3,nP@')G._A!#=$"37Z)R>l1Fm$!#=7%$!3:w4#R[rFE#!#=$!3!z^+&*R"oL?!#=$"3x%H<4\],[$!#=7%$!3VghS=zcYA!#=$!33Z*[$y->?@!#=$"3#y,$=f]n>N!#=7%7%$!3eZw8.&[Q!>!#=$!3-S:aCo?qB!#=$"3![vp=dsw_'!#=7%$!3LPmd#yl=Q#!#=$!3!\us6Y2b">!#=$"32,JF&Gq%Hj!#=7%$!3iH(=R.92M#!#=$!3.qJS;=\z?!#=$"3j<L4RBQsj!#=7%7%$!3bxX6?y'4s"!#=$!37"y'*zRm()[#!#=$"3;l#RV`(o(Q*!#=7%$!3k2(*flkukD!#=$!3!Q]<x)y%pz"!#=$"3n/$*3P5u$=*!#=7%$!3NG[J"*[(=Z#!#=$!3%)yT+6.Fc?!#=$"3>Mr**[n*yA*!#=7%7%$!3m[?3Vsyt9!#=$!3t)QAGS[dg#!#=$"3^1iFYYfC7!#<7%$!3DOAjUq#>"G!#=$!3>'*=*G)e'*z;!#=$"3(=A&H#ywR?"!#<7%$!3MIu^md+SE!#=$!3!oo"G"el10#!#=$"32[+z!oS%37!#<7%7%$!3@hk@%>h>;"!#=$!3VX$pxnY;s#!#=$"3H=UT'Gd.^"!#<7%$!3)R#y\"4`P7$!#=$!3@R\%zgnSc"!#=$"3r"y&e8Fk*["!#<7%$!3FM*Qy2]]%G!#=$!3K9#3dx&=i?!#=$"3)RFg,bFT\"!#<7%7%$!3!)**f$*>n(*H@!#=$"3l&*)3vgV(RB!#=$!3o)Q<(=p:1\!#=7%$!37&GydcPd:#!#=$"3Q!R0#y1(f%>!#=$!3w5EG"3VQ4&!#=7%$!3Yx*R+3'p*3#!#=$"3+m!oHUps-#!#=$!3oOD5Ny?`]!#=7%7%$!3M,o_z5b(>#!#=$"3Sq?*e8%QFA!#=$!3i:A#)\,Le?!#=7%$!3c$[(=1K;)3#!#=$"3i:A#)\,Le?!#=$!3Sq?*e8%QFA!#=7%$!3;?G"oZky2#!#=$"3+FK$))p>p6#!#=$!3'=>bU(Gy!>#!#=7%7%$!3_@2[YI.1A!#=$"3]ikOkF:N@!#=$"3+Rl!*[PqGz!#>7%$!3RjNBR7oz?!#=$"3_ByM@:c]@!#=$"3OSx!o`5qN'!#>7%$!3AB2'yM"46@!#=$"3E_">[Pp/=#!#=$"3i?g'*)4#H(p'!#>7%7%$!33!=\D1o7<#!#=$"3xJ)z!y?"4/#!#=$"3c$o/0Lhml$!#=7%$!3$[5lJAYW6#!#=$"3EaWj2A![C#!#=$"3MeCN7e>'[$!#=7%$!3Y"4'=(R<n;#!#=$"3_]!f#pvz6A!#=$"3WM(\'zE5BN!#=7%7%$!3Z@_Ef5lp?!#=$"3K!Q"3#*)QK#>!#=$"3Ui3'4Y-V_'!#=7%$!3Xj!\kAjg@#!#=$"3r0Hj$RvCO#!#=$"3Y$*>='RSGL'!#=7%$!3<<UIPN(*[A!#=$"3pOU%)49%eC#!#=$"3hu=<\JHuj!#=7%7%$!3')**HE96(=*=!#=$"3)oVX*)yi4!=!#=$"3?z-u]R]'Q*!#=7%$!31&G^9<VQR#!#=$"3:\)on\^Z[#!#=$"3j!H)o?Y#\=*!#=7%$!3_tbJMX!fP#!#=$"3H!>&f&>$4qA!#=$"3.3S'e#ycG#*!#=7%7%$!3I.6">;#fX;!#=$"37G_u&4I=o"!#=$"3[\?()GJbC7!#<7%$!3*==.Q7A,k#!#=$"3!z0p**=%)Qg#!#=$"3!*y$*p*H=S?"!#<7%$!3r1mVz@*Ha#!#=$"3p@dl/8xwA!#=$"3db3j?UY37!#<7%7%$!3I9p)yO-QL"!#=$"3ol7-v3'\c"!#=$"3$y&\j,8M5:!#<7%$!3hqt#y">">&H!#=$"3M?Ip5Mv?F!#=$"3<U]O)pe'*["!#<7%$!30='pGv-yu#!#=$"3:22cDk!eE#!#=$"3qxqK8m8%\"!#<7%7%$!30(zB.uGyE#!#=$"3G)H<)eKB-m!#=$!3'R@0c/q.![!#=7%$!3'y[!RXb)y,#!#=$"3fdbK)f4\D'!#=$!3[&y%Ra*H'*>&!#=7%$!3W_o%p.?t*>!#=$"3!Rs!>8*[QQ'!#=$!3YyOY[w=8^!#=7%7%$!3i5&)zI7bJB!#=$"3tvSn(pA3^'!#=$!3gX8-Nk[W>!#=7%$!3Iud"\0jT&>!#=$"39!yo%f,KYj!#=$!3VSHp]yATB!#=7%$!35D%4"efs**>!#=$"3aJ_=pY&[Y'!#=$!3w*o;X"3LbA!#=7%7%$!3E&)3+U/nVB!#=$"3nycg'*)Q0U'!#=$"3Cn:V1+')="*!#>7%$!3m*R8P%Q/U>!#=$"3?xr`gRgOk!#=$"387FGzU&o;&!#>7%$!3Mh9p/odK?!#=$"3>Ghml?eAl!#=$"3RPe==')[Ag!#>7%7%$!3&o&*z:L3LI#!#=$"3?s`3l_mJj!#=$"3(=gJS_How$!#=7%$!31GV8afS#)>!#=$"3o$[d?fxa_'!#=$"3.Sb#)=w-wL!#=7%$!3kG.u*)*\o4#!#=$"31J"e=%*ozb'!#=$"3B#\kKrQ1Y$!#=7%7%$!3?_)\H\y^@#!#=$"3C$QI$=f`Si!#=$"3M+:\&y\ii'!#=7%$!3sKWw#zN02#!#=$"3ksC")Qpg;m!#=$"3`b8lrI*3B'!#=7%$!3FUpz#4*\&=#!#=$"3*\`M')=dtc'!#=$"3#3$p36.\;j!#=7%7%$!3F5U$3Tf(o?!#=$"3[)R4uHd/8'!#=$"3Wx7Oj#ow\*!#=7%$!3ku+)[([&p@#!#=$"3QdMtfboEn!#=$"3R#Hn!3.wt!*!#=7%$!3m()4*yHG@H#!#=$"3jyF)=oQ4d'!#=$"3**=]gs!Rb;*!#=7%7%$!33UP</#R#R=!#=$"3!eNA];;?+'!#=$"3L)\#>hn>P7!#<7%$!3$GaS:3vkW#!#=$"32+07#pE^&o!#=$"3/I*ytmu8>"!#<7%$!3'oy`kMjDW#!#=$"3(4t]czF'zl!#=$"3+;KqTaH,7!#<7%7%$!3K#e\(R3()G:!#=$"3g6TZ6+1te!#=$"3#**>kKquR_"!#<7%$!3(GqkfWVov#!#=$"3EW(oc%G3%)p!#=$"32+et'HDgZ"!#<7%$!3c7wH$*3RUE!#=$"3)Rncu***=wl!#=$"3c&Htxk1k["!#<7%7%$!3cxOV?DX'Q#!#=$"3#=UT%Hyh(3"!#<$!31;D1d]-'f%!#=7%$!3O21Gl<E**=!#=$"3(4s:MJR_0"!#<$!3$R[PH%\(RS&!#=7%$!3/&=gj*Qj6>!#=$"3Qr#*HS"fi2"!#<$!3>p$*Rh'[!H_!#=7%7%$!3j*zE/i1/X#!#=$"3tibjl?Bz5!#<$!3e)fn'p7KM<!#=7%$!3H&[(GlwIN=!#=$"31!e@s2DO1"!#<$!3W(oYg,$R^D!#=7%$!3ZFP'y]^g#>!#=$"3q@17-hs$3"!#<$!3x&)px$z"\uB!#=7%7%$!3>E[`5r2jC!#=$"3it3&\\i12"!#<$"3GVjP`0PB6!#=7%$!3se%z^<PE#=!#=$"3<pi!zk%>s5!#<$"3BZ3&>v3?0$!#>7%$!3NyT&RCNa'>!#=$"3D51^CH;*3"!#<$"3u='Gn1)RB[!#>7%7%$!3g(zz!))z4BC!#=$"3x@Jh(>)=i5!#<$"3>VpxxU)e(R!#=7%$!3K([MwH;E'=!#=$"3,@SCX*o13"!#<$"3q)>!3lG(p;$!#=7%$!3a\6d'Hzn.#!#=$"3uP)ekX&o#4"!#<$"3CL=GBt5UL!#=7%7%$!3]PZ(QEf]L#!#=$"3B_R.'G'*R0"!#<$"39r,"47&QEo!#=7%$!3UZ&R=-b1&>!#=$"3b!>Bo&3'))3"!#<$"3u%oKitd2.'!#=7%$!3)=!)yW$y;V@!#=$"3#z;9>.iL4"!#<$"3"Q+-!=h,.i!#=7%7%$!3(oY@3$H7/A!#=$"3**[E[(Rxb/"!#<$"3zc!Q70*o%o*!#=7%$!3.=G*[N"f"3#!#=$"3!Q\u`uzs4"!#<$"3080>?&Rn)))!#=7%$!3$*>a^;NSnA!#=$"35k/x!yg)*3"!#<$"3dwnRh1]f!*!#=7%7%$!3BeDM)e_'=?!#=$"37][rs\UN5!#<$"3%>a#H4PEc7!#<7%$!3oE<P(phqE#!#=$"3n#HU,<Ku5"!#<$"3V'))y#>xIs6!#<7%$!3LrLycX>(Q#!#=$"3bjo\mC%e3"!#<$"316oJCZ[!>"!#<7%7%$!3K>LHv5%*[<!#=$"35\(=r`GG-"!#<$"3fv'e%e0`X:!#<7%$!3gl4U5KxOD!#=$"3p$RQdgG+7"!#<$"3SC8aT%pWX"!#<7%$!3>b_ZL.3YD!#=$"3$p;Jeg/W3"!#<$"3?x"y;v%=u9!#<7%7%$!36/&48@f.]#!#=$"3Y8EkbLh::!#<$!31,#3z?5_H%!#=7%$!3!3y/W2b`y"!#=$"3a'QdVk'Q%["!#<$!3$*)z"4#z*y/d!#=7%$!3A+@$[o1u#=!#=$"3#e^4"=V'p^"!#<$!3+t?&*fog*R&!#=7%7%$!38`D"ysWFc#!#=$"37Wg$yx8v]"!#<$!3:014$=e7V"!#=7%$!31K<!zbpHs"!#=$"3)e&R;Ai[#\"!#<$!3)3oBE5cW&G!#=7%$!3$*3E$[YmT&=!#=$"3M$Qi6HFS_"!#<$!3nz9R9ZKYD!#=7%7%$!3;*[5f0'>vD!#=$"3)>*[G?AE*\"!#<$"3eQ,3>4)pU"!#=7%$!3v&z.)H#=0r"!#=$"3-3^rzxt+:!#<$"3[@#*G"\40f"!#@7%$!33-8*RYXE!>!#=$"3'o@UDhV#H:!#<$"3`;&\u&e'>5$!#>7%7%$!3HY=;vq"o`#!#=$"3U)e2hLm5\"!#<$"3?U)*\2!*zyU!#=7%$!3jQCb5s*)[<!#=$"3d6C*QmL*3:!#<$"3p*Hd`8eS'G!#=7%$!3l/-$y#zD#)>!#=$"3kBZ]$GYF`"!#<$"3_)>>">&e.<$!#=7%7%$!3zDR.Rs[]C!#=$"3'pb,)3?5$["!#<$"3K/#*yn^:Er!#=7%$!38f.oYqAN=!#=$"3/V%)>"*z*o^"!#<$"3a^ON*o()4t&!#=7%$!3;t%R%)4u75#!#=$"3%3?WN^kP`"!#<$"3W=%o!4.0Lg!#=7%7%$!3184:ZqC@B!#=$"3>UdCP3Jv9!#<$"3j9a!f(G,v**!#=7%$!3&=Pj&QsYk>!#=$"3"yDaF;*oC:!#<$"3?bJ_&p:kf)!#=7%$!3EJd?'*G8gA!#=$"3L*G$Gu-yH:!#<$"3?8BZS2*[*))!#=7%7%$!3Z"*G:os.]@!#=$"3=qa9E]6n9!#<$"3Z[EkCdk$G"!#<7%$!3W$Rhv,xc8#!#=$"3#)HX&Q(\)G`"!#<$"3!*z(GRqD\9"!#<7%$!37q&=*\1^6C!#=$"3MWr"4$3C>:!#<$"3D3nTp%f\<"!#<7%7%$!3Ox8A(**)GB>!#=$"3[X?kl1Vd9!#<$"3wA.G>Q9s:!#<7%$!3c2H\)GDCO#!#=$"3^azNM$pDa"!#<$"3Cx'>2=cyU"!#<7%$!3IL!ebM*GID!#=$"3U5!G56u0^"!#<$"3(Q2J3P&4f9!#<7%7%$"31N?7#*\Q"o#!#=$!3:(>'=V/?$["!#<$!3=6%plB\NP%!#=7%$"3o]Af$HHVg"!#=$!3&G!Q"ob*z;:!#<$!3O*eIMw]ki&!#=7%$"3UE>K1h6>>!#=$!3tDCEj?oN:!#<$!3&o1bdi*=b`!#=7%7%$"3t8xc0(Geg#!#=$!35:0M4u?#\"!#<$!3N;Rn?:?L:!#=7%$"3Hsl9!e&))z;!#=$!3!\[f1f#z2:!#<$!3np./lF^_F!#=7%$"3x9T\WP,B>!#=$!3?JP*Gug(H:!#<$!3rG]&o8C&)[#!#=7%7%$"3=y64iAn!f#!#=$!3ynmn3!f2]"!#<$"3GjmEQY(*>8!#=7%$"3%y5BO-U]p"!#=$!3AKLK"*4C*\"!#<$"3=Xw/.z'f3"!#>7%$"3mfC&[>gY)=!#=$!3KB:O'G*)[_"!#<$"37k%Ry(yn3P!#>7%7%$"3EzF<^6#[j#!#=$!3<zzAiuS4:!#<$"3crPbL"pn=%!#=7%$"3x1:aMJ*3l"!#=$!3%3-sx`#f!\"!#<$"3MqLI4!)3cH!#=7%$"35<'Gw&)4Y"=!#=$!3k;eniFX?:!#<$"3M!3$p)GQDA$!#=7%7%$"3iC4^/3aTF!#=$!3!zfV-$*y'=:!#<$"3*=0rX%3dlq!#=7%$"3ShL?"[tTa"!#=$!35-kvp5K"["!#<$"3)R!=d7?d"z&!#=7%$"3%z22`W3$=<!#=$!3EH3Ezdo;:!#<$"3Hmvz]3Sng!#=7%7%$"3hRt0q`F;H!#=$!36%e6/y)*)G:!#<$"3Ip*)))HPA_**!#=7%$"39Ypl:*Q%p8!#=$!3*eT)e>75r9!#<$"3a+'R:%[?>')!#=7%$"3=#f0D.!)3f"!#=$!3'3j=OuzR^"!#<$"3;i$)z'*="y!*)!#=7%7%$"3X%)4x6o*H;$!#=$!3$\NSimq+a"!#<$"32'eCL;.TG"!#<7%$"3V,L%RZ<F7"!#=$!31X'fPLH*f9!#<$"3IUoCl#oW9"!#<7%$"3/<v%)e[*eU"!#=$!3,s#QUvaD^"!#<$"3d'Q%\2,qu6!#<7%7%$"3qjHG0[8#[$!#=$!3"4\lY<J>b"!#<$"3J(oJXk.Fd"!#<7%$"3CBKJ/[zN!)!#>$!344XLD)o![9!#<$"3o7$oaN'HF9!#<7%$"3%*\=."o)\?7!#=$!3D^+7DQf7:!#<$"3;!RCq&zxe9!#<7%7%$"3mp/#H?GRf#!#=$!3:60T*e$z_5!#<$!3vN!y)f&*G"o%!#=7%$"3O;Qz#3'y"p"!#=$!3jJmW`N1!4"!#<$!3Ek>7S/r=`!#=7%$"3(>m4,&)>B&>!#=$!3=d/Zz)zx4"!#<$!3Q%\B8x/2=&!#=7%7%$"3q(zv'>@43D!#=$!3IrcO*4BH1"!#<$!3[U[O#zgw$=!#=7%$"3K)[Qg;Awx"!#=$!3[r9\VS$*z5!#<$!3bV%\L\`![C!#=7%$"3Ao"ekyG$p>!#=$!3Uw&z#z+m!4"!#<$!3wF^,(f**eJ#!#=7%7%$"3!e@ckUD.\#!#=$!31jo)f&>Ds5!#<$"3ra/iiWk:5!#=7%$"3Aq!e#f))Q&z"!#=$!3sz-(o=012"!#<$"3aJ(4&f'p#HT!#>7%$"3u`'\4'*pC%>!#=$!3r.Je%*H@&3"!#<$"3*eci!=8>Ma!#>7%7%$"3"**3[v>A3a#!#=$!3udt;G(e<3"!#<$"32f@ftKL")Q!#=7%$"3S'>m")3#*[u"!#=$!30&y*o9%)4h5!#<$"3$G)\EpQ_hK!#=7%$"3...%p7N#y=!#=$!3%R(z))H()e!3"!#<$"3oTznTlr&R$!#=7%7%$"3K<TSL3OgE!#=$!3s:B%3UNA4"!#<$"3$=wgP*=,an!#=7%$"3qo,J_MND;!#=$!31F[,A<i]5!#<$"3/%4#Qj48.h!#=7%$"3U&>KdJ8.y"!#=$!3au>B"=Co2"!#<$"3=)y=&=30Wi!#=7%7%$"3rQx[d#Q%[G!#=$!3Y/y-Oej.6!#<$"3'*G*fw%QSE'*!#=7%$"3gZlAGgFP9!#=$!3LQ$HoI@#R5!#<$"3)3koPsC]%*)!#=7%$"3;6!4DGxjk"!#=$!3W9tkN;Hu5!#<$"3y+K\Jwa#4*!#=7%7%$"3)\_b*)p"=.J!#=$!3nU76y&*\:6!#<$"3)Gop'HS]\7!#<7%$"3/h(eneKD="!#=$!37+fukvNF5!#<$"3\X<!*)Rn!z6!#<7%$"3z^DY%y%=v9!#=$!3$3j'o#R#Gt5!#<$"37]A!oP<V>"!#<7%7%$"3(o!ekOX(GU$!#=$!3nXsE*>mu7"!#<$"31'4qd0#)f`"!#<7%$"3c"z%o!\(RG')!#>$!37(*)*eV4R:5!#<$"3&R!*HU%z,k9!#<7%$"3a([kJg@pE"!#=$!3:X%[TmgR2"!#<$"3')\&=9j)fz9!#<7%7%$"3GEkIdz_#\#!#=$!3[PC--Fx9i!#=$!3O-8NhL2A\!#=7%$"3ufySGj=$z"!#=$!3S=/7b,PUm!#=$!3k(p['Qm#z2&!#=7%$"3$o'z!)*=z,+#!#=$!3qb:lDgpSm!#=$!3%o/)H9M=W]!#=7%7%$"3zUSeW()R2C!#=$!3_l79!\L'Gj!#=$!30s$pM,Mk1#!#=7%$"3BV-8TbJy=!#=$!3M!f,qO4&Gl!#=$!3)R"\Cs-G>A!#=7%$"3>&G1glC)>?!#=$!3=O0Unwfcl!#=$!3pc;]'3)='=#!#=7%7%$"3P\W#>q#=*Q#!#=$!3K@wA&Gp#Qk!#=$"3#o?S?'**G**y!#>7%$"3mO)*y$eJl*=!#=$!3bM_">dt)=k!#=$"3asSnBVU'Q'!#>7%$"3"[$**RHZ_+?!#=$!3i')Q!Q?k3\'!#=$"35![3DMpRr'!#>7%7%$"3cgn(>aO6W#!#=$!3;<ZP/%o!\l!#=$"338B`@wY[O!#=7%$"3ZDvtVxdW=!#=$!3sQ"oFXu!3j!#=$"3#)G[K@&*Q%\$!#=7%$"3I"\WmoF<%>!#=$!3%HiAc8'[Rk!#=$"3Ag9c3%[x_$!#=7%7%$"3qAk0AxjeD!#=$!3#eX,H%ydjm!#=$"3dqZ,+p!p]'!#=7%$"30jyljl2F<!#=$!3/+9C9]c$>'!#=$"3I&3Gr&fB]j!#=7%$"3as>!\B6m%=!#=$!3mKtw31P-k!#=$"3en<F6i:%Q'!#=7%7%$"3%feE29W-u#!#=$!3h<,hkM!*yn!#=$"3t&Ht=(3pk$*!#=7%$"3O+x)\9qaa"!#=$!3DQF`#RR#yg!#=$"35u_b*pPn?*!#=7%$"3S\_'z7"H:<!#=$!3`'y\Rm`9Q'!#=$"306U^kb$4C*!#=7%7%$"3)>9_cRFk)H!#=$!3w?>;#ffS*o!#=$"3&Gei>C8AA"!#<7%$"3-W@1!*oG*H"!#=$!35N4)\E$3jf!#=$"3`X)3m=ej?"!#<7%$"3TR%)G3&3ta"!#=$!3?FOHn#QrP'!#=$"3(=`(y14z47!#<7%7%$"37:1j0$>vH$!#=$!3xUWwrr&*3q!#=$"3\Djp?@%z]"!#<7%$"304n$3!)\>))*!#>$!358%y`o&=[e!#=$"3]uOIzy0#\"!#<7%$"3Z<$*3>nYU8!#=$!3%eyR^c*Q*Q'!#=$"3aW^W=p\&\"!#<7%7%$"3mA>4_$=GK#!#=$!3nN$GBSa7$>!#=$!3zIRHe1El]!#=7%$"3OjBiLf*G'>!#=$!3D\fQ$))fWN#!#=$!3logqT$RZ$\!#=7%$"33%3$4Y3"p4#!#=$!3Z#3j&Ga`5B!#=$!3p)="oN!)*H'\!#=7%7%$"3#pGB!)>ZsB#!#=$!3b)*4p(3n%[?!#=$!3TCe!41LR?#!#=7%$"36**4p(3n%[?!#=$!3O'GB!)>ZsB#!#=$!3gh%3[A"y"3#!#=7%$"3$feZsdfz6#!#=$!3!yPT>]&*\A#!#=$!3()oK5tyA3@!#=7%7%$"3wT%[5%G^:A!#=$!3oIh&)zaI^@!#=$"3v;R#4!pE&e'!#>7%$"3FWemW9?q?!#=$!3Ba"ee!)3W8#!#=$"3hi.z%QZ/q(!#>7%$"3OBE4MRX)4#!#=$!3%)G2ef)ec;#!#=$"35@@eFP+fu!#>7%7%$"3;.soN#*eqA!#=$!3v)*o!3a]"fA!#=$"3g**oe\d^3N!#=7%$"3'G3F+0D^,#!#=$!3;'Q2\ujl-#!#=$"3IU-F$RTVj$!#=7%$"3:q.vbdIP?!#=$!3,&3vyv2L6#!#=$"3A;4IU$*42O!#=7%7%$"3@T(z>$=S)Q#!#=$!3;VkEUSUwB!#=$"3I"H[^e$pij!#=7%$"3#[aMPX7t*=!#=$!3wTyWV-H4>!#=$"3ckX*>F\W\'!#=7%$"3&p_fd&H"G%>!#=$!3cdu/(HqV2#!#=$"3%)z!>!HL#fY'!#=7%7%$"3'\8%36lspD!#=$!3C&y^Kc\G\#!#=$"3L8YvDF&*=#*!#=7%$"31^,jux)fr"!#=$!3m*\iCskGz"!#=$"3^cRnXeZ_$*!#=7%$"30`?RV8!>"=!#=$!3t16/=^(G0#!#=$"3#)zK@UscB$*!#=7%7%$"3P&)*R)e.q:G!#=$!3[98&[%*e$3E!#=$"3W#\:(4wd27!#<7%$"3l+V(o#R,q9!#=$!3WqH'3Mbtn"!#=$"3%f$f&)=Q*4A"!#<7%$"3uOVif86W;!#=$!3-)zBCk,%[?!#=$"3q39PC"*3=7!#<7%7%$"3)z5&4"G\m7$!#=$!3n&H>&4cNBF!#=$"3!*pq!)Q%yK\"!#<7%$"3>y">Y+l!f6!#=$!3D*)\>w'eBc"!#=$"35IH>h:s1:!#<7%$"3%e[&Ht1PR9!#=$!35*y_=5E11#!#=$"3VX)>)R5"Q]"!#<7%7%$"3ja^'zeIk:#!#=$"3EO5lYpL]B!#=$!3[SjO)4*)R1&!#=7%$"3SJ"\xp$GH@!#=$"3w\K1RtPN>!#=$!3'*eOj,4,O\!#=7%$"3M:6J97H#>#!#=$"3LS83]7[@?!#=$!3Z:*3S**=P'\!#=7%7%$"3oW3.L1V$3#!#=$"3+&p)e7")pMA!#=$!3MTMo_OG-A!#=7%$"3MTMo_OG-A!#=$"3."fDJ<;50#!#=$!3oW3.L1V$3#!#=7%$"3m"*\&*e#ph?#!#=$"3Vtvf$4\*4@!#=$!3$[v9m1j"4@!#=7%7%$"3SfxnFqAu?!#=$"3wadh;w[M@!#=$"3;:b#4To/f'!#>7%$"3iEl.es[6A!#=$"3FJ&)4pmA^@!#=$"3Ak()yueC&p(!#>7%$"3&o>^:l.&y@!#=$"3<-f%f*GQu@!#=$"3yM-[PX0cu!#>7%7%$"3U?M1w#G?6#!#=$"3eb-&\"fBK?!#=$"3`(p$f+Ve6N!#=7%$"3hl3l4got@!#=$"3XISwq$yMD#!#=$"3QWMEUGFJO!#=7%$"3;7;n"zM_7#!#=$"3PwvCy/O:A!#=$"3$eYcG^f`g$!#=7%7%$"30O!\zIN$>A!#=$"3=k9eZEU8>!#=$"3&Q8K]8fQO'!#=7%$"3)*\_wx*yj1#!#=$"3%=#G8Q;HsB!#=$"3-A26APG$\'!#=7%$"3[`C*Rs)oP?!#=$"3sB7?(\TBD#!#=$"3TH'RqZi_Y'!#=7%7%$"3A1%e;UH%)R#!#=$"3StfCx`r%z"!#=$"3'p"*G3u0$>#*!#=7%$"3!)ze0k[G()=!#=$"3i7$o%3*)*4\#!#=$"3(Gl*fIG7_$*!#=7%$"3ADcEa.j3>!#=$"30BPqA&yYF#!#=$"3a4,:(3nLK*!#=7%7%$"3hyj%>1qSk#!#=$"37tifh)p"y;!#=$"3$R^]tM*e27!#<7%$"3q2zwBUkT;!#=$"3!H,=TUWvg#!#=$"3X94A"3#)4A"!#<7%$"3xbK#y9c7u"!#=$"3Tq:g,)z'zA!#=$"3fT9GpC3=7!#<7%7%$"3r2Ne$=?]&H!#=$"3&RX&>&oSFc"!#=$"3[!=p?'GG$\"!#<7%$"3Ky28-TpI8!#=$"33K)=0gtHs#!#=$"3_>3$z8<n]"!#<7%$"3/>D:dZgO:!#=$"3HWj5XIqnA!#=$"3s7k)=`3Q]"!#<7%7%$"3!*RSwC#QI*>!#=$"3h#z8PNhnj'!#=$!3ugf$3p<T#\!#=7%$"37Y-&41wEH#!#=$"3Ej!HM]"Q?i!#=$!3ERS;4B)e2&!#=7%$"3)f)yeZZu%G#!#=$"3]5r0pu]^j!#=$!3+)4ZaICI/&!#=7%7%$"3q7k]1J%e">!#=$"3aQ%H\EEv_'!#=$!3n**oS(z&=n?!#=7%$"3Kty?z6()pB!#=$"3K<M@#f;'Hj!#=$!3O'Q2$)[G&=A!#=7%$"39,y$)HZy)H#!#=$"3C')p5"H'*[V'!#=$!3)p:eX$=w&=#!#=7%7%$"3Q=:%\bb2!>!#=$"3%G![0lt))=k!#=$"3K))Q:(49#)*y!#>7%$"3lnFxI(e\Q#!#=$"3.`!)3#\b#Qk!#=$"3/"Rg&)=+vQ'!#>7%$"3/Qs4AIXxA!#=$"3*e8u&=$y3]'!#=$"3*Q]LUMzXr'!#>7%7%$"3\k]pD5K[>!#=$"3$>@1#=$z5J'!#=$"3N7b0ykaYO!#=7%$"3a@#>+E$RPB!#=$"3%RkO*QN1Yl!#=$"3aH;![m5j\$!#=7%$"3$RC4Yhr.A#!#=$"3hw_a#Qr%\l!#=$"31\1^sw$)GN!#=7%7%$"3@Dl<NWob?!#=$"3a@=g)QA>?'!#=$"35(Hh&367/l!#=7%$"3#3wP0&)H+B#!#=$"3LM5ao/Abm!#=$"3we:e[<-`j!#=7%$"3*=N#eFVvH@!#=$"3?ewpH!G6e'!#=$"3ok5k>dt&Q'!#=7%7%$"35>$HE\E#GA!#=$"3*=4ndp3^3'!#=$"3PLRi+B9j$*!#=7%$"3$p'\3$z([d?!#=$"3(Rwv8;M?x'!#=$"3YOY!3F'G3#*!#=7%$"34g'4xx#3/?!#=$"3j&\rBF[3g'!#=$"3+9Gu%e8=C*!#=7%7%$"3peu*HQ<<Z#!#=$"3YnlQaIbmf!#=$"3Qb#z%\T:A7!#<7%$"3MFor-p*R"=!#=$"3S)GcF!)*e!*o!#=$"3+t@4zsT17!#<7%$"3WWxj&*zTQ=!#=$"3rd\+bKb1m!#=$"34#*\Z6W#)47!#<7%7%$"3>m!*H-+^#y#!#=$"3raj2*)y$)\e!#=$"3d!4$f6&>z]"!#<7%$"3$)>_T$G/K]"!#=$"3;,l1o\I2q!#=$"3W4pS)[!3#\"!#<7%$"3v]`())=LTj"!#=$"3#4ylx^$G&f'!#=$"3M+&>vt4b\"!#<7%7%$"3WXgHkQH#)=!#=$"3d9u")4bu)3"!#<$!3dvqQ,=$Qq%!#=7%$"3eS#=9U?MS#!#=$"3@G(RIj6T0"!#<$!3)\#Hh)>ohH&!#=7%$"3&>(y@g:ylB!#=$"34e:FuM#H2"!#<$!3"4*pr1O#z;&!#=7%7%$"3$*RPG2o,8=!#=$"35')*pXl(zz5!#<$!3x]GyZZbU=!#=7%$"35Y0VyupsC!#=$"3ocrG)[fI1"!#<$!3EN9$z`fJW#!#=7%$"3Rg!>(**HekB!#=$"3rEf?eMO!3"!#<$!3?6cX'yCJJ#!#=7%7%$"3EZggTVL*z"!#=$"3g&>Xlu112"!#<$"3!oE,;it],"!#=7%$"3wQ#3T%*zj[#!#=$"3=Z>J'R]A2"!#<$"367;qp!y\8%!#>7%$"3m<!>1BRUL#!#=$"3'pt=-#)og3"!#<$"3d^P89zUPa!#>7%7%$"3/y<gUG+V=!#=$"3c@/p$[T:1"!#<$"38nId.7/oQ!#=7%$"3)z]7JW6FW#!#=$"3B@n;fcJ"3"!#<$"3xuSGRf"[F$!#=7%$"3B:$\"p.;qA!#=$"35*42Xc()**3"!#<$"3!fKWl(HD.M!#=7%7%$"3wMk2#>K#Q>!#=$"3lRZEk&pG0"!#<$"34)*G\NL&)=n!#=7%$"3E^yj$4#[ZB!#=$"38.Cfyv)**3"!#<$"3yd*\;_*GQh!#=7%$"3izr^*RpA<#!#=$"3y\*[QK+:4"!#<$"3/\kZu_)RE'!#=7%7%$"3p;!z2bmv2#!#=$"3wK&yk7zQ/"!#<$"3Rsy')pK8x&*!#=7%$"3Lp_$\tZ"3A!#=$"3-5'yj,y*)4"!#<$"3Y(pg:I&H%**)!#=7%$"3]Mj*HJ$=`?!#=$"3P%f7@I^+4"!#<$"3,G<FBM[?"*!#=7%7%$"3pWRBe9ewA!#=$"3fFy4ZamK5!#<$"3q^K\fBEX7!#<7%$"3LT.[FG84?!#=$"3?:$fdp">56!#<$"3nw"y!p!4L="!#<7%$"35kQ5o)z0#>!#=$"3@F5&RJa$)3"!#<$"3?\]"*\Bs'>"!#<7%7%$"3#R:?Z?eZc#!#=$"3K,p,VeP>5!#<$"3$>'[(3LBM`"!#<7%$"3QKT*43c4s"!#=$"3[T-%)*H"[B6!#<$"32Q^7pmdm9!#<7%$"335@&*Rp6T<!#=$"3mt5u7&ox3"!#<$"3g*\LfR\5["!#<7%7%$"3"=!*=M)4Vw<!#=$"3t)4d;5.g^"!#<$!3G@x0E)[KS%!#=7%$"3@%Q&H-LG4D!#=$"3F,HM)*o*R["!#<$!3;yA%R<^nf&!#=7%$"3Y"**G.v4([C!#=$"3y:&oa8(Q8:!#<$!3!z<cdL]$Q`!#=7%7%$"3co?!R4*\6<!#=$"32v2xQ!>x]"!#<$!30R+Kue&*Q:!#=7%$"3Z<A"=>:Ud#!#=$"3%\AH7'4G#\"!#<$!3pYUR6%enu#!#=7%$"3e8*>_YX<V#!#=$"3O*)**G!*pQ?:!#<$!3xc)G9\h_[#!#=7%7%$"31j!z>Ca&)p"!#=$"3K;M#R!=C*\"!#<$"3#)\&*R$=E$>8!#=7%$"3BB_tV+;(e#!#=$"3n$ewg>e2]"!#<$"3W!y=<X_C4"!#>7%$"3;&\k`#3Y!R#!#=$"3GT-tT*)oD:!#<$"3<g*pX`aBr$!#>7%7%$"3VU*)e?!*pQ<!#=$"3?%yPg2N3\"!#<$"3y[0NXZ!4<%!#=7%$"3fV`7l_,ZD!#=$"3!e@iR#\;4:!#<$"37$f1vR_>(H!#=7%$"3*p3bQQosJ#!#=$"3i0(*)GSO$H:!#<$"3pelH&>L:B$!#=7%7%$"3$Hk!)y91%G=!#=$"3VeDrRts#["!#<$"3S<dCLMh<q!#=7%$"35VO$y83tX#!#=$"3cTuGgEF<:!#<$"3ZQr*QUH&Re!#=7%$"3!=,CPhnj?#!#=$"3yk.X)3*oI:!#<$"35h"pQ4#f%4'!#=7%7%$"3))o<,uc:h>!#=$"3H+=r;D&[Z"!#<$"3T=(oUP0d')*!#=7%$"3:<Dq6'eXK#!#=$"3r*>)G$[Z^_"!#<$"3V^)fr>Bdq)!#=7%$"3(e3wh'=re?!#=$"3#4Xi9)>yF:!#<$"3s;#)[0n'o&*)!#=7%7%$"3)R<%Gz)Hb8#!#=$"3e,e$G8TkY"!#<$"3Q2!)fxsvs7!#<7%$"307,V1W=]@!#=$"3U)>kr')eN`"!#<$"3*4Ut4:9e:"!#<7%$"3M(ys&f&*G7>!#=$"3G8q(\%*R&>:!#<$"3%*Qre!3L6="!#<7%7%$"35x;AU:2pB!#=$"3l^cC1@9c9!#<$"3&y3c70,9c"!#<7%$"3%*3E\VFk;>!#=$"3M[Vv$*y&Qa"!#<$"397Ru[*)fQ9!#<7%$"3="))z%)oOCy"!#=$"3)QvoCJ#*G^"!#<$"3NLt%QQ'=l9!#<7%7%$"3:3aVp*f0+(!#=$!3/Z-:p)\,Z"!#<$!3zltC,WquW!#=7%$"3sZuq()Gece!#=$!3'Hv\38])H:!#<$!3?MEv)f&HDb!#=7%$"386SXEC0Ai!#=$!39A<p9e\R:!#<$!3UkYCKf$yH&!#=7%7%$"3?Vs5*e%G<p!#=$!31W(G*[6;!["!#<$!3OWkm0!*yM;!#=7%$"3n7c.o#e)Rf!#=$!3%fDr5&)Q)>:!#<$!3mTy/!GD4l#!#=7%$"3*y#><^)G'Qi!#=$!3AwRfBurK:!#<$!3S]v@B`#4V#!#=7%7%$"3%>)QSIaJ(*o!#=$!38!*))y\RN*["!#<$"3y!pz/(*3[@"!#=7%$"3#R(*QnUF)ff!#=$!3()46@]gk5:!#<$"3Kst"4eCw8#!#>7%$"3-S")>l-;7i!#=$!3LoEvJ'px_"!#<$"3sD=;cQ&\I%!#>7%7%$"32#=Vj")y1%p!#=$!3]ffX7TB)\"!#<$"3#*o#\*\X6xS!#=7%$"3"Qn*zSSY;f!#=$!3]SSa()ew,:!#<$"3)H(y!HfUd1$!#=7%$"3xts*yh*4Yh!#=$!3ua,%))HsQ_"!#<$"3HJhxW5r%G$!#=7%7%$"3?"z9s[=40(!#=$!3D?Pqk"ou]"!#<$"33`=$y&HM^p!#=7%$"3ok!G*pVA1e!#=$!3wziHN=`#\"!#<$"3!G+6$**)*z0f!#=7%$"3=woXmj!e/'!#=$!35.q%G8%o?:!#<$"31(Qo;hm@8'!#=7%7%$"3(HQ>(>R>Ks!#=$!30<G$eUIv^"!#<$"3Gd5T*GbC$)*!#=7%$"3!HZBu$*[\i&!#=$!3&H=nTdpC["!#<$"3c7v,#Gt*Q()!#=7%$"3Y))f/")*Q5"f!#=$!3TCf*GBJ%=:!#<$"3p:NE"3>d(*)!#=7%7%$"3>F6l'[>c[(!#=$!3;!e6(ffYG:!#<$"3VrTbX*)Rr7!#<7%$"3nG<\qL_r`!#=$!3$)>%)GSS`r9!#<$"3%pD<I[sr:"!#<7%$"3G^E%4=s)Qd!#=$!3wu0.7mT<:!#<$"3%og-wB.>="!#<7%7%$"3q%pLVKd!4y!#=$!3ifbz<f+S:!#<$"3DapC"oj"f:!#<7%$"3<h"4G`&3[]!#=$!3PSW?#3%**f9!#<$"3uXIv=j$3W"!#<7%$"3aA*Hle4$Gb!#=$!3^7L+n!yy^"!#<$"3RzOAW\Xm9!#<7%7%$"3;CvD73")Hp!#=$!3\bbiIpyO5!#<$!37ydinlS3[!#=7%$"3sJ`)[/Kt#f!#=$!3I(eJA@qg5"!#<$!3)=AuBV$f">&!#=7%$"3(Q&)y]VH,C'!#=$!3gf!>P!\#\5"!#<$!3!e0dD/J'3^!#=7%7%$"3U7X;3$*=Uo!#=$!3o^6>yz>[5!#<$!3dmwG(>ze&>!#=7%$"3WV$y*[N&\,'!#=$!35"*fmk"fY4"!#<$!3Y>mU)3N)HB!#=7%$"3:,[=KD_hi!#=$!3-?"*>tCh'4"!#<$!3AC8-j7()[A!#=7%7%$"3o,qOJ#)Q?o!#=$!3*z0E_*p)*e5!#<$"3K1R:)HR7)*)!#>7%$"3?aexDYvOg!#=$!3![3Jw9qQ3"!#<$"31t.c()\Z/`!#>7%$"3]A,T*ypQC'!#=$!3=<l4[yF!4"!#<$"3&y'et6y^+h!#>7%7%$"3VF(\2@g'oo!#=$!3bKVQ"eo$p5!#<$"37n+Tvw#ov$!#=7%$"3VGJRYE[))f!#=$!3C5GZh&)[t5!#<$"3yuqWn%HgQ$!#=7%$"3Mx[JBo8&='!#=$!3yzTRAtg&3"!#<$"3m)\!RM'4jY$!#=7%7%$"3)Rgg7l7"))p!#=$!3,2&[2F"3!3"!#<$"3M8+h83$*=m!#=7%$"3)=D#)e?I!pe!#=$!3xN'3@(exi5!#<$"3`UG`V?@Qi!#=7%$"3#Gi!eX<4(3'!#=$!3]&)GXS$*=#3"!#<$"3bT*y^2S1K'!#=7%7%$"3ae))3-uwur!#=$!3'piB]+984"!#<$"3Jd?/74j![*!#=7%$"3L(*R0baP#o&!#=$!3#e^Ly8V:0"!#<$"3_7lQfwz!4*!#=7%$"3tx.tD/L_f!#=$!32E-T_45!3"!#<$"3P<kRM!*>v"*!#=7%7%$"3r]!3V3>eU(!#=$!3"zzw/!\!G5"!#<$"3Shn,)yqSB"!#<7%$"3;0[$GxB8V&!#=$!3)[M!QUA0S5!#<$"3'pma0k+X>"!#<7%$"3fhz0$[/;y&!#=$!3#fBo)o[bz5!#<$"3\%3)yGy1.7!#<7%7%$"3^K>j&>L2u(!#=$!3Tqz?`5O96!#<$"31"z%yLX&*>:!#<7%$"3OB4^h'4k6&!#=$!3Qs"\'*3'\G5!#<$"3%*3_@ma/!["!#<7%$"3wWB:0xwub!#=$!3@F(R1`_13"!#<$"3'4O/G.'o)["!#<7%7%$"3A]s;hd**yn!#=$!3bV[%pRP,2'!#=$!3eog49"4,4&!#=7%$"3k0c(f4Z"yg!#=$!3J7!)>ga+(y'!#=$!3TJR!f)3*)4\!#=7%$"3+/;J;UpAj!#=$!3ok-MiR`An!#=$!3M%yjoF4*[\!#=7%7%$"3#z6k-:yZp'!#=$!3HbZeEv-'='!#=$!3W1Zv;FfJA!#=7%$"3%ztyoqkB;'!#=$!3d+"e0L:6n'!#=$!3fz&f*o:7a?!#=7%$"3Qx&)en0GUj!#=$!3hX@NND/Pm!#=$!3-?pc*>XD4#!#=7%7%$"39=)[xzGWn'!#=$!35zV>Zr'))H'!#=$"33vXN%)*3<F'!#>7%$"3sPSRfSr#='!#=$!3vw%[*4dFel!#=$"3H/(f8I0S,)!#>7%$"3$\'4gIO+Dj!#=$!3c$=1"p!H+d'!#=$"3%p2)\$3(yOw!#>7%7%$"3Q-!G'QoDAn!#=$!3hxl<Fr<2k!#=$"3tI(e$Hk!R[$!#=7%$"3[`[^=g)[8'!#=$!3Dyi'*Hd'*\k!#=$"3<6%)\82&*eO!#=7%$"3aR">Lg6zE'!#=$!3#e,];i*3@l!#=$"3-b`G9D0@O!#=7%7%$"3_\<z*4W,%o!#=$!3oK>S[P/=l!#=$"3>B4u3"*4Rj!#=7%$"3M16Nd()*p,'!#=$!3>B4u3"*4Rj!#=$"3oK>S[P/=l!#=7%$"3l.G?c(Q<<'!#=$!3-$*><fA$e['!#=$"3mgvW(4,$zk!#=7%7%$"3A!3<L*y>Bq!#=$!38*)oj/a:Km!#=$"3cIR!Qb3]>*!#=7%$"3lvd#Q'\%R$e!#=$!3umf]_u)\A'!#=$"3FRYi<+Uw$*!#=7%$"3y'Q.&z3NRg!#=$!3`Rs3X=Clk!#=$"39EId$GVrL*!#=7%7%$"3t>amr-Mqs!#=$!3*Q]')ytBqu'!#=$"3.aWK+"e^?"!#<7%$"38OuZ&e-oe&!#=$!3)>Nc#>">,6'!#=$"3NupCGLTB7!#<7%$"3RD!=o8q2(e!#=$!3arb'fUw3Y'!#=$"3')zPYb4Y>7!#<7%7%$"3m'G1<>&*>e(!#=$!3()*=^h=o='o!#=$"3MB(\J%e%3\"!#<7%$"3?plVlw9v_!#=$!3+m;*4nu_*f!#=$"3lw-&o:a"4:!#<7%$"3>!G4t,+cm&!#=$!3i-BqE(QIZ'!#=$"37$**e1H!>0:!#<7%7%$"3%=)QD*)HW!f'!#=$!3Dz'plW]W#=!#=$!3r(H?!y073_!#=7%$"3/u*))y')*pmi!#=$!3n0Y9RQEhC!#=$!3%Gqz>Uz=z%!#=7%$"3Wg&>0_6DW'!#=$!3,8([e@NrP#!#=$!3MUwyv#)*>)[!#=7%7%$"3f&Rk3<MB^'!#=$!3!H/Ft6T3%>!#=$!3o"[<"G(=]L#!#=7%$"3Gg%yio3[M'!#=$!3-UsQoJ([M#!#=$!3N/ofdbp]>!#=7%$"3$p'3FM]jkk!#=$!3]^d(4%G/#H#!#=$!3kv-$['R!R.#!#=7%7%$"3'Qm@$4k-$\'!#=$!3uI+8*GFC/#!#=$"3jTWB&3#3*Q&!#>7%$"3,#>@yW;TO'!#=$!3=aUe'*pGVA!#=$"31P)z/?Km*))!#>7%$"3il*z%=I!GX'!#=$!38v88lb!)QA!#=$"3r\uEC`AP")!#>7%7%$"3'4S=hH&)o_'!#=$!3)*\b7ggrE@!#=$"3cA2,Yhu*R$!#=7%$"3"\XC5cd-L'!#=$!3%\t)eD#)**e@!#=$"3M>k%o*46VP!#=7%$"3m9]FXC,%Q'!#=$!30l)H&>!G,A#!#=$"3YF)[fKq(oO!#=7%7%$"3)***yv9c#*Hm!#=$!3??^`3L_;A!#=$"3x&o3yRRqB'!#=7%$"3)e&\QUs@Fi!#=$!3sk"zr(4>p?!#=$"35qTLfM5?m!#=7%$"3yGD$**39OG'!#=$!3EC]>hVD&=#!#=$"3G"p%>dw;Pl!#=7%7%$"3tA4HQ1y8o!#=$!3=%HCaQYsK#!#=$"3&=z1h'[6s!*!#=7%$"39L>&)=AOVg!#=$!3u!***G+zYe>!#=$"3)zx@`q8$*\*!#=7%$"3:@YJ<Y`_h!#=$!38'p@X7-(e@!#=$"3CF\^VC#oS*!#=7%7%$"35ZxbZmAoq!#=$!3@#=E4ceiW#!#=$"3?!p8\av;>"!#<7%$"3x3^e4i"*)y&!#=$!3q-")yCdXR=!#=$"3<Qxl$)e*oB"!#<7%$"3o^l@s-z")f!#=$!3X1"pF#)["[@!#=$"3Q<x7$R0rA"!#<7%7%$"3NTgEGx$oQ(!#=$!3dsy0HmWlD!#=$"3jJ>3Qtyw9!#<7%$"3_9o()G^Iqa!#=$!327klcwE?<!#=$"3Oo!=>m7K_"!#<7%$"3?Gw>$f8Rx&!#=$!3/D*eWk8d:#!#=$"31:GY%GhJ^"!#<7%7%$"3F5Q!e<i2W'!#=$"3WTB%\'>faC!#=$!39rEJK'fP?&!#=7%$"3gX!R8o!Q;k!#=$"3fW>x?B7J=!#=$!3IGton.C'z%!#=7%$"3#***Q4$Gh2`'!#=$"3jWBV04%='>!#=$!3^.;hw3Z%)[!#=7%7%$"3@OnB;([[P'!#=$"3ictPVj4VB!#=$!3t@$)\x&GLL#!#=7%$"3m>h!49%H#['!#=$"3UHpLUzhU>!#=$!3Ikf@3dQ_>!#=7%$"32-2J[wEWl!#=$"3](pH!)G#>_?!#=$!3SGKweA'[.#!#=7%7%$"3<#yulxLsO'!#=$"3C=9YU=4VA!#=$"3mFQ^++\#R&!#>7%$"3qt!o034**['!#=$"3znGDVCiU?!#=$"3s^/?&GCK*))!#>7%$"3mypX2))oCl!#=$"35$)fP"ehN7#!#=$"3%>,"fzIHN")!#>7%7%$"3_#HGOQ[_S'!#=$"3gr"z[_[z:#!#=$"3<$*pYW6"4T$!#=7%$"3NjX^tW*=X'!#=$"3U9^$3wlx7#!#=$"3t[,R)*f%>t$!#=7%$"3-))oO8Fruk!#=$"3gg`*)))G<&=#!#=$"3uG2k8*RCm$!#=7%7%$"38cy=LR'\['!#=$"3JD(*Ho))yx?!#=$"3BU@s9RRfi!#=7%$"3t**\&R#*y@P'!#=$"3sgXT<a#z?#!#=$"3k82UU*[xf'!#=7%$"3<=*)R(*3(fM'!#=$"3)eM2qbte8#!#=$"3)eU\+$H\Cl!#=7%7%$"3(f!)3<()Qbk'!#=$"3%[o&QJ#3.(>!#=$"3qXw@$*3$e3*!#=7%$"3!*\SV&)Rg6i!#=$"3>,'GV01aJ#!#=$"38C4@ywf&[*!#=7%$"3YX2r#z6?C'!#=$"3cx#eT-"zg@!#=$"3MrDOIc/*R*!#=7%7%$"3as-@#HVU*o!#=$"3=4A@'Gjo%=!#=$"3u0lPtvA#>"!#<7%$"3K$eK\c**G'f!#=$"3%o2-&**4&)QC!#=$"3iA\>bQMO7!#<7%$"3U6%o"o'e#yg!#=$"3>.GYMx$\<#!#=$"3+26++CzE7!#<7%7%$"3[dWnrl&G@(!#=$"3-!=<ygyTs"!#=$"3-ym(\;-qZ"!#<7%$"3Q)RoaG'GWc!#=$"3,1r*ynN:c#!#=$"3)>KB]$y*H_"!#<7%$"3.#H.bm=;(e!#=$"37a'p9DG*p@!#=$"3"=?U.[RI^"!#<7%7%$"3Y"oG/cYhF'!#=$"3tf(4%e(4Hy'!#=$!3F6^Ro%z!*3&!#=7%$"3TuTr'H'*4e'!#=$"38'4L()4LU2'!#=$!3t))[gJ0#4"\!#=7%$"38!4guLV(3m!#=$"3Uz/naQ*zE'!#=$!3=yx*G2$\\\!#=7%7%$"3;Bad;M)*)>'!#=$"3TcBx%=L*pm!#=$!39oSRC-;JA!#=7%$"3pKucS%f"em!#=$"3X*\qBn4s='!#=$!3*y@?81aX0#!#=7%$"3JXJ\K/oBm!#=$"3+Vym4.\`j!#=$!3kI>C</z#4#!#=7%7%$"3M\_G5B'o='!#=$"3=>G(f^F"el!#=$"3d(*o-<Vqsi!#>7%$"3^1w&oa!Gqm!#=$"3oO+<T`,*H'!#=$"3!=Q(oo*4I,)!#>7%$"3#[bG&fx[,m!#=$"3YIx/Kq.Ak!#=$"36za^UFAOw!#>7%7%$"3))yN*H=i2C'!#=$"3E%3i3!f-\k!#=$"39v\y%=^x[$!#=7%$"3+x#\Tn!Q;m!#=$"3gr2Gcp63k!#=$"3wm@2ef5bO!#=7%$"3A>5yLi>Tl!#=$"3PAEF%QWLZ'!#=$"3KVVz'es)=O!#=7%7%$"3_<z$>q(R^j!#=$"3_<z$>q(R^j!#=$"3_<z$>q(R^j!#=7%$"3NQ\?b^u0l!#=$"3NQ\?b^u0l!#=$"3NQ\?b^u0l!#=7%$"30\'[L=.UW'!#=$"3]"*=H>FX+l!#=$"3Fq-K^zKsk!#=7%7%$"3E%*zr$=y$4l!#=$"3_!>?`^p(Qi!#=$"3jq*Ro2\6?*!#=7%$"3hh[UtYwZj!#=$"3MlE#=Mt$=m!#=$"3?*f)e%\z-P*!#=7%$"3*Gy[pZ^qK'!#=$"36EJoI8Z7l!#=$"3U_y+&ohOL*!#=7%7%$"3:**)G"HLl`n!#=$"3/`C%Htba6'!#=$"3BU$*eg5J07!#<7%$"3scR,G&*[.h!#=$"3%GS+U7(oTn!#=$"39'3#)zOgKA"!#<7%$"3$GDEvfnD;'!#=$"3*ps8.v&H@l!#=$"32tk$*GUP>7!#<7%7%$"3*H>JFtxg1(!#=$"3=1s=Pd\(*f!#=$"3+KM3nF*3\"!#<7%$"3)Gm6W7l5z&!#=$"3o\c&*>rkfo!#=$"3,ol"HB2"4:!#<7%$"3.[V"Qwfw&f!#=$"3&=p7-u<6^'!#=$"35.YQ&oj^]"!#<7%7%$"3cy$>ELQh7'!#=$"3$*[eg?J006!#<$!3&o+')H#=.9[!#=7%$"3IxM_CX+Jn!#=$"3'QH^A-/y."!#<$!39$*R,x"of=&!#=7%$"3)e79.Q8))p'!#=$"33Rq(>KZ71"!#<$!3I$>>UfTa5&!#=7%7%$"32I.=L62_g!#=$"3))[NuT"oW4"!#<$!3'Gae))p;u&>!#=7%$"3!e_iRsr]!o!#=$"3!Rf86+*Q[5!#<$!3<Vd&oe(HGB!#=7%$"3&G47SAC,r'!#=$"3F<n:35\p5!#<$!3\;)f">&**zC#!#=7%7%$"3Y4a$GQ_4/'!#=$"3o86`OY&Q3"!#<$"3>N9]ft%*y*)!#>7%$"3SYuIu/>;o!#=$"35HgK1D+f5!#<$"3=WG@Epw1`!#>7%$"30-(\!)Raeo'!#=$"3V'f8SP$3w5!#<$"3Bh)R=J<=5'!#>7%7%$"3'e#4xz%oW4'!#=$"3F?D]H^Tt5!#<$"3iuR3)z=-v$!#=7%$"3+I>PxVnin!#=$"3_AYN8?Wp5!#<$"3GnJxW$QER$!#=7%$"3u4+IUwOCm!#=$"3OZa$HX053"!#<$"31Y"*)Qyc+Z$!#=7%7%$"3E)G/m5-%3i!#=$"39rOCY#[P1"!#<$"3)HBREeQvf'!#=7%$"3hn&Q0vS([m!#=$"3krMh'*)3"z5!#<$"3*Gi.XF/'fi!#=7%$"3H%fyDzX]_'!#=$"3%f-:Qv7R3"!#<$"3ehvT)>pFL'!#=7%7%$"3p,=w3Jnhj!#=$"3#yoE9u[\0"!#<$"3$4[fID\sW*!#=7%$"3=a5Q[(pa\'!#=$"3(\XI9S3z3"!#<$"3"*)3p$=$zT7*!#=7%$"3)R2YXiwoR'!#=$"3]@[M*z)f$3"!#<$"3E.$H5,ET>*!#=7%7%$"3W/Q_KU%*pl!#=$"3X"\aN'HLV5!#<$"3,g)3I0-?B"!#<7%$"3U^!>Yi)>(G'!#=$"3M^EIzT_*4"!#<$"3OoDcv$pl>"!#<7%$"346*p>$3Yci!#=$"3'[J&))Q9t#3"!#<$"3g:2Ev2C/7!#<7%7%$"3b%R)*o;Tb(o!#=$"3EZPnyW@I5!#<$"3b)HGf%e:>:!#<7%$"3IhWC!p,;)f!#=$"3_&R$=kEk76!#<$"3X,<2aT%3["!#<7%$"371!36c#=hg!#=$"3gNo5.rV#3"!#<$"32XTny)Q"*["!#<7%7%$"3rXQ0[S0Rg!#=$"3Ss1y;'e%G:!#<$!3)p`M$R>>*\%!#=7%$"3;5!*34))3=o!#=$"3fF$>KQT:Z"!#<$!3-jamg!33]&!#=7%$"3k4R;374"y'!#=$"3ufj]uf)=]"!#<$!3K3t=4=&RG&!#=7%7%$"32t1FCG\tf!#=$"31,9]M-k>:!#<$!3KhtdFb()R;!#=7%$"3z#=sG.]O)o!#=$"3$*)f)\l(f.["!#<$!3qCp8e(Qek#!#=7%$"39hhcw3-wn!#=$"3zWg>;[e4:!#<$!3f8D!*H8/GC!#=7%7%$"3\-=n]Ldjf!#=$"3z"e\=1L1^"!#<$"3vF<jB$)>97!#=7%$"3O`5Z1&pN*o!#=$"3@=/:QpO*["!#<$"3=,qR\5tV@!#>7%$"3!))RC"=quTn!#=$"3pQ5`n-j::!#<$"3;rgAYhT3V!#>7%7%$"3oNblr%z,,'!#=$"3v%4yk*3r,:!#<$"3!e^P$3rOhS!#=7%$"3>?t[&Qjp%o!#=$"3E0>_."*G)\"!#<$"36E'>X.!\"3$!#=7%$"3@8qCGTVum!#=$"3UQs=>"e,_"!#<$"3%*)oZTkROH$!#=7%7%$"3O4#4!zIc3h!#=$"3Y;0Ag#RK\"!#<$"3.t_88K#=!p!#=7%$"3^YO8y(z&[n!#=$"3b$[z(R2w1:!#<$"3%Ge2Sk>`&f!#=7%$"3<B)Gu#=ipl!#=$"3+YO,:8&H_"!#<$"3(y)o"znV-;'!#=7%7%$"3:e)4=,#yZi!#=$"35lc7:AR&["!#<$"3SRM&fh.8u*!#=7%$"3s(*HLX3O4m!#=$"3!\Lu[y2Y^"!#<$"3VI^Zb\7I))!#=7%$"3g'4'=&fiwT'!#=$"3;?t[J)=B_"!#<$"3#HD:B#4SF!*!#=7%7%$"3DycyMlN@k!#=$"3\ZF^L_Mx9!#<$"3LMf8X&R(f7!#<7%$"3ixrNAjyNk!#=$"3]_s[mZlA:!#<$"3/%\NM)=$)o6!#<7%$"3'[p\>1HJD'!#=$"3g`xOEnT8:!#<$"3z*HV&pR^)="!#<7%7%$"3p$R:U,Qcl'!#=$"3n%QT^^)4n9!#<$"3MN^\Drl[:!#<7%$"3=iu#H%[],i!#=$"3K:'e[[,H`"!#<$"3lk[]uGM^9!#<7%$"3.`O$*3RgGh!#=$"3Sm+d!)y$o]"!#<$"3-A=)y-7CZ"!#<7%7%$"35vq"G+YU8"!#<$!3Ak"*f#RX3W"!#<$!3]iVUHQ%pd%!#=7%$"3pn+/S6h35!#<$!3xN3S2Y:f:!#<$!3\Pcdqh0Ba!#=7%$"3**pHII$pT0"!#<$!3ubmYRS.`:!#<$!3Q0D5vu')R_!#=7%7%$"3(e(pPRY]D6!#<$!3%>!=T6)[BX"!#<$!3qFsd]SfI<!#=7%$"3#p;![.DN<5!#<$!30)>)e)=^wa"!#<$!3Keq8N-7bD!#=7%$"3"fG"4FZYc5!#<$!3?(R/MhI[a"!#<$!3)3\e'z]gwB!#=7%7%$"3Q8F3Z'\I7"!#<$!3m.]!p!y2j9!#<$"3)\@iY)\]=6!#=7%$"3UHWx&\2)>5!#<$!3M'*\4$>Ap`"!#<$"3$)G@4RWm+J!#>7%$"3r6Pmnf#\0"!#<$!3xVpQgCyQ:!#<$"38J%=LA&)4&[!#>7%7%$"3[$*zaTH,F6!#<$!3#*))[Z?>*HZ"!#<$"34.**=zg$R(R!#=7%$"3K\"48?We,"!#<$!336^_z!3q_"!#<$"3zQsmj5#*oJ!#=7%$"3<Z$oe[_$\5!#<$!3\M`EL/uM:!#<$"3Zw[8F>@VL!#=7%7%$"3Qr#z@cpy8"!#<$!33:=Wy&fC["!#<$"3ySdfJz%y$o!#=7%$"3Uryn!e()\+"!#<$!3#\=e:USv^"!#<$"34:raD\H>g!#=7%$"3-F#*)GeP'R5!#<$!3)>#[E;(=A`"!#<$"3[rE%*\o^'>'!#=7%7%$"3U3F9So/c6!#<$!3/>"**QGT@\"!#<$"3i#>(3D=*yq*!#=7%$"3tVV9FI5o)*!#=$!3'4)35;(ey]"!#<$"3Ax8MYn`j))!#=7%$"3w3xre7!f-"!#<$!3A)=aU'y$3`"!#<$"3]\MM$)\MY!*!#=7%7%$"3<,B?k(o9="!#<$!3D'[Dks`C]"!#<$"3@RZQXl)yD"!#<7%$"38;%[ly$)Qh*!#=$!3w8Xdtia(\"!#<$"3;*o'=$)[oq6!#<7%$"3B>LMGOK35!#<$!3)4R%o3)31`"!#<$"3JCc'ofk&*="!#<7%7%$"3W:Twyht87!#<$!3vM#o'*[fL^"!#<$"3UU(>![_sW:!#<7%$"3ct-$4k47H*!#=$!3Dl<L50k'["!#<$"3dd-)>vu_X"!#<7%$"3!)*y(et\_q)*!#=$!3e7E)o>E<`"!#<$"3#f3oCNTYZ"!#<7%7%$"3C+!fh-`U7"!#<$!3Q(G$ep4b05!#<$!3Te&\ko1%p\!#=7%$"3bU")p;Tg=5!#<$!3UbQFthIP6!#<$!3/T/b8LfI]!#=7%$"3$o6J)z9(z0"!#<$!3^fS(f$f+A6!#<$!3wG,>?gM<]!#=7%7%$"3\2%Ro')yg6"!#<$!3)>H+*4>*p,"!#<$!3@K,u[ZF7@!#=7%$"3INx,w#yn-"!#<$!3#3&o&HBle7"!#<$!3"Q:up`RM<#!#=7%$"3)fTTKW](f5!#<$!3'4(z'*4(zM6"!#<$!3E9s'=(p>g@!#=7%7%$"3SosV@2V96!#<$!3Ru)>9UE%G5!#<$"3ND12J'f&[u!#>7%$"3Ru)>9UE%G5!#<$!3SosV@2V96!#<$"3-aOkaY:Po!#>7%$"3DG@'R&z#y0"!#<$!3lTYl*H"f16!#<$"3n\,/:x_pp!#>7%7%$"3TvgI(p7$>6!#<$!3G'>tXUX)R5!#<$"3#H1&42H*>g$!#=7%$"3Qn5bXWaB5!#<$!3^YRG=<,.6!#<$"3)*y?wNU'3a$!#=7%$"3r`W.Y)*>_5!#<$!34A7o?]M,6!#<$"3Ln0L")*)4aN!#=7%7%$"3s'>'[/-uI6!#<$!3O'G')pQ]70"!#<$"33i@INW9fk!#=7%$"32Y4PQp675!#<$!3Uc3(ev1;4"!#<$"3y$pS=U)*zR'!#=7%$"3?P:mrw&G/"!#<$!3iSt2Ept(4"!#<$"3tP,4ApB6k!#=7%7%$"3M%*z3Kkr[6!#<$!3Cj'=SwfE1"!#<$"3v.@x[JI;$*!#=7%$"3]%["p2rST**!#=$!3az%Q)yt>!3"!#<$"34mklAa7b#*!#=7%$"3A9Dp[L!)H5!#<$!3!)*)ePEfv&4"!#<$"3aVp*))yq$o#*!#=7%7%$"3C60]%HGK<"!#<$!3bHCUo13u5!#<$"3G/<?EeM<7!#<7%$"3M9jc$[)G'p*!#=$!3C8ZVukxo5!#<$"35C(pBgD7@"!#<7%$"3Eo4/Cd/85!#<$!35*pewj+a4"!#<$"3^f&)pp1b77!#<7%7%$"37H`cM(oU?"!#<$!3'pw(Q/%3b3"!#<$"3-**>DL31.:!#<7%$"3pO"=H3%)eQ*!#=$!3#ePp%Q([t0"!#<$"3)4+[n;Rp\"!#<7%$"3aO?/'\ye#**!#=$!3'>*z3N^n'4"!#<$"3e!\Ckak#)\"!#<7%7%$"3Q,$pUoD\5"!#<$!3cQ#o:V5."e!#=$!3,DXlu:#pC&!#=7%$"3UTyee9$z."!#<$!3J<YdDC$o/(!#=$!3`vaMD%yIv%!#=7%$"3)f">(3t0*p5!#<$!3UC@&)zqwto!#=$!3x7@a.')**f[!#=7%7%$"3k@1womi'4"!#<$!3[C`6f!4-$f!#=$!3iWy!='*QOQ#!#=7%$"39@l4u/BY5!#<$!3SJv-)zLp#p!#=$!3TTk!RKv?!>!#=7%$"3AU$4!y#z>2"!#<$!35%4:&z'ehy'!#=$!3&y!o*)4pL1?!#=7%7%$"3CM\u'*)RW4"!#<$!3oU:b$Gdi/'!#=$"3zTgj.j[0[!#>7%$"3a3A6YsT[5!#<$!3>88ftb)3"o!#=$"3eP#y?)zA![*!#>7%$"3x)f'=[m`q5!#<$!3s-*y'e.]=n!#=$"3aDIm>n6o%)!#>7%7%$"3-47M1x<)4"!#<$!3bL?*e@%*R:'!#=$"3<&yV=Z4HM$!#=7%$"3wLf^O%zY/"!#<$!3LA3DT'[Jq'!#=$"3scL,rw%**z$!#=7%$"39t")*ytqa1"!#<$!3)=#G<tE'Rn'!#=$"3sr"o#)*f*4q$!#=7%7%$"3zPG@TV[36!#<$!3$*4rx"=[8D'!#=$"3'R,(fnTk(>'!#=7%$"3+0Vk,GPM5!#<$!3%ful`n%z0m!#=$"3!>%ea*o)\fm!#=7%$"393eo6T@c5!#<$!3lffS*QP-l'!#=$"3>T2L_U]fl!#=7%7%$"30&G&4SPYE6!#<$!3rvOCu1N[j!#=$"3EG5tA?0X!*!#=7%$"3ud=w-MR;5!#<$!3;!=**G=#z3l!#=$"3eTvp[lPE&*!#=7%$"3mQ:hr_hU5!#<$!3#)y99.`3Qm!#=$"3"emf>tm@U*!#=7%7%$"3b5u826$=:"!#<$!3EM&e]wdPX'!#=$"3t3&[)=JH*="!#<7%$"3YAt>d.E5**!#=$!3h@V3#4&Q.k!#=$"3k>Hs4$y#R7!#<7%$"3%G62fnY^-"!#<$!3'oa]'>S0Om!#=$"39c`W)>c%G7!#<7%7%$"3#R-;o\2Q="!#<$!3[-1+^)G`c'!#=$"3_K1)zIKWZ"!#<7%$"3i)=6/Y'\!f*!#=$!3Q`A91S"=H'!#=$"3[n$>?pnb_"!#<7%$"3\?$**>N,T+"!#<$!3!zw_Gyiwk'!#=$"328phcl\9:!#<7%7%$"3#)=>Ti\`(3"!#<$!3ql?gf(o6d"!#=$!3P;P4[lvb`!#=7%$"3'RAX/=A`0"!#<$!3A>A6Eba9F!#=$!3i$G1>XVUk%!#=7%$"3)z,5'Q*4:3"!#<$!3H4"=$p!G6_#!#=$!3+$>7gb!H)z%!#=7%7%$"3V*[x@;)4!3"!#<$!3&z'\No&y*)o"!#=$!3S"z\N,TX[#!#=7%$"3N`'z1)*eF1"!#<$!3'pJftrNnf#!#=$!3j%\k@Ft6!=!#=7%$"3KT)3sbeM3"!#<$!3#yvzESoDV#!#=$!305h?Gn7\>!#=7%7%$"3]WEYgpSy5!#<$!3"pMOe@H/!=!#=$"3(>l?(*)f'3)Q!#>7%$"3H)\%R#=]W1"!#<$!3,Qz()p]G&[#!#=$"3mi$*fH[[S5!#=7%$"3k#p)G57?#3"!#<$!3c`NNyk-nB!#=$"3szaA$pkB**)!#>7%7%$"3#=[V&yz"=3"!#<$!3b!p8s=0D!>!#=$"3yb7)zNY(fK!#=7%$"3'4m8V;R51"!#<$!3P%f+&)44KQ#!#=$"38')e([y5J)Q!#=7%$"3;kfieY$y2"!#<$!3#pC&HQtGKB!#=$"3`;$*\F%["[P!#=7%7%$"3m*318>%G!4"!#<$!3A3:](R#4"*>!#=$"3U;F=1IW?h!#=7%$"37`5b^Hd_5!#<$!3owF@))=i%H#!#=$"3YR,'4&)*pOn!#=7%$"3d/#\A+;*o5!#<$!3qx9&GN:0L#!#=$"3/;=DIjF.m!#=7%7%$"3/^18k8n06!#<$!3n6k^_K2t?!#=$"3$fj+/<:&f*)!#=7%$"3w"\E(yd=P5!#<$!3Dty>L5k7A!#=$"3!R$z-,M">h*!#=7%$"3ly0&z/:]0"!#<$!3YP)H.p;(HB!#=$"3[>6vS]mq%*!#=7%7%$"3;E0r6W()H6!#<$!3R'\%[-<"e;#!#=$"3886jLWzy6!#<7%$"3j;m9JF)H,"!#<$!3`)yHKe-*>@!#=$"3C:.%\*px\7!#<7%$"3LN"z#\X^P5!#<$!3'=!Q#R)oTFB!#=$"3Y^/h>)3WB"!#<7%7%$"3a*=OKjO@;"!#<$!3*pf'H)3SCF#!#=$"3Ow$*eC>Di9!#<7%$"3^K&4i40s!)*!#=$!3#zo<u>uK,#!#=$"3kB1Tv![x`"!#<7%$"3%obX'[+>;5!#<$!3>h**)=`ffL#!#=$"3;QeGzES@:!#<7%7%$"3$eS+b()eE2"!#<$"3%>\YJfa0r#!#=$!3&*\5MEIF``!#=7%$"3&ptctE)>q5!#<$"34%znDpf^d"!#=$!3/]*eO(psYY!#=7%$"3e_tw6N9!4"!#<$"3t^")[aGx;=!#=$!3MH0I"o)p*z%!#=7%7%$"3::kzC.$e1"!#<$"3iz(\&)=1ef#!#=$!3$el1fDTQ[#!#=7%$"3kF21=o-x5!#<$"3o1X;(43**o"!#=$!3?Iw!)HI(=!=!#=7%$"3iADW#p5;4"!#<$"3ve)**Q*=12>!#=$!3p@:!>[B&\>!#=7%7%$"3[NCmJrxk5!#<$"3")[eXXH;&[#!#=$"3:@&o]NH?)Q!#>7%$"3I2Z>6+3y5!#<$"3AP%e-M^0!=!#=$"3#edkI\o./"!#=7%$"3(pmIMhT**3"!#<$"3tyX0F#>u(>!#=$"3[!=])z]q"**)!#>7%7%$"3k=C&4!z#)o5!#<$"3A"yN!)4x*zB!#=$"3rivxKv$RE$!#=7%$"3:CZ!>CHS2"!#<$"3"[]yw=Pd!>!#=$"3?z&z+h>*yQ!#=7%$"3&Hn)f([2e3"!#<$"3RpR4>jcA?!#=$"3Zhci%3sdu$!#=7%7%$"3'GTq)G74x5!#<$"3,=J2C:g'G#!#=$"3C+'*zvnsOh!#=7%$"3#*Hn)R"fwl5!#<$"3-o6khF6**>!#=$"3jbKM"3;/s'!#=7%$"3*)3</!*f,z5!#<$"3w[GSR!=)=?!#=$"3IIPrRO/%f'!#=7%7%$"3WmyiZ3T!4"!#<$"3*yj*zTy72A!#=$"35`N%[8'G&)*)!#=7%$"3Nw#H_HYC0"!#<$"38[Y"RW'ey?!#=$"3t;]eOC9'e*!#=7%$"3"QV]h/?Y1"!#<$"3ZkW)=5I'*)>!#=$"3P(*>DJK0c%*!#=7%7%$"3.)pSH*Qj76!#<$"3(4(\`J,<@@!#=$"3*eN=$eUv!="!#<7%$"3wWk"*\KAI5!#<$"31:$zT:WX;#!#=$"3[sIDqr"yC"!#<7%$"3Q\X,]3@Z5!#<$"3+IHRxht#*>!#=$"3umi!Ri(HL7!#<7%7%$"34S"o(o#fV9"!#<$"3w#Rf!)QOn,#!#=$"3Z2jxv/Ej9!#<7%$"3,F+*3uy\)**!#=$"3E$*[l(*y(*oA!#=$"3`#pBU_Rn`"!#<7%$"3*y]>YtYh-"!#<$"3$fq/,K[q)>!#=$"3&oNtN%3$3_"!#<7%7%$"3nvI2)*)fo0"!#<$"3Oi>I&*))pRq!#=$!3tr?fzD2W_!#=7%$"36nSyWs*f3"!#<$"3_$*3%='RW<e!#=$!3")GzS?u#fv%!#=7%$"3iq<>#)=P(4"!#<$"3!*R!\edCU7'!#=$!3H&*[bZRhh[!#=7%7%$"3E`e"Rkp'\5!#<$"31?g$GJ@^#p!#=$!3u;`rmKw#Q#!#=7%$"3_*GT*)\(=$4"!#<$"3"e$oIW:-Kf!#=$!3Hp*)**=5&H!>!#=7%$"3Ga$))REl')4"!#<$"3\,zG$eCB@'!#=$!3m'G"*yTLo+#!#=7%7%$"3BrY!\P&z[5!#<$"3hj[*ey>1"o!#=$"3HN1fh762[!#>7%$"3crC&zwhS4"!#<$"3E#*zCrI_Yg!#=$"33WO7CIgy%*!#>7%$"3g4eIsuU'4"!#<$"3RG[V0$HSG'!#=$"3+7G9*Q&>n%)!#>7%7%$"3$*pBo!*)fS0"!#<$"3w%)z_*[?^p'!#=$"3au#ee'4f\L!#=7%$"3&Gxu@D(z)3"!#<$"35r[hnB-ih!#=$"3On))*p<mKz$!#=7%$"3O'[$*z<>44"!#<$"3mX+EH^FSj!#=$"3+t&Hgn2sp$!#=7%7%$"3Pe\j)RYW1"!#<$"3V84.I#z@e'!#=$"3.cy[3eTGi!#=7%$"3T%=AUu5%y5!#<$"3WU>6FO'\F'!#=$"3%)**\l[qsGm!#=7%$"3@"4*3.cA$3"!#<$"3L"eTq11rP'!#=$"3W*p.G7d?a'!#=7%7%$"32gbMp+gx5!#<$"3s98u2kG!\'!#=$"3gCY?[$p05*!#=7%$"3r#e6N2d_1"!#<$"3;T:S\k&oO'!#=$"3CXRAB#f3Z*!#=7%$"3lZ"[(Qb2t5!#<$"3kU5zO&=@M'!#=$"3q?7f8"*o!R*!#=7%7%$"3k>pyeBy)4"!#<$"3A(HVX_bnS'!#=$"3'Q&R!\iPE>"!#<7%$"39B-2%yuS/"!#<$"3le&*fKtQ]k!#=$"3_uum.Q$fB"!#<7%$"3YcR`NV2b5!#<$"3c761OD*\L'!#=$"3?uM*f!*flA"!#<7%7%$"3zm))Qo1"38"!#<$"3m^$R!fj\)H'!#=$"3d2`V<;ov9!#<7%$"3+w#oWZY?,"!#<$"3?/N5)\Y'el!#=$"3V#pkDQ=V_"!#<7%$"37u"4;FnR."!#<$"3G)zhK!3>Hj!#=$"3J1Z-9#)y8:!#<7%7%$"3w9FG=-gQ5!#<$"3Gb[`!=*GP6!#<$!3U>W"yd9%p\!#=7%$"3.GWdCpD/6!#<$"3^(GAB'zc05!#<$!3e!e&=AaeI]!#=7%$"3ja9%*\*Ql5"!#<$"3'=/9\Y4B/"!#<$!3%y[')eaTt,&!#=7%7%$"3-FVg89XI5!#<$"3>gSS:4'e7"!#<$!3S(eJV<xA6#!#=7%$"3y:GDHdS76!#<$"3g#3`uA'*p,"!#<$!3i)p#Q6rVt@!#=7%$"3Wrmz!*4I36!#<$"3gUx!QgL30"!#<$!3uowe'f&>g@!#=7%7%$"3KcH8gY$)G5!#<$"3El9'*z+V96!#<$"3'**4;32b&[u!#>7%$"3Z'=CF[AS6"!#<$"3axc*G1F%G5!#<$"3Sz")*[@fr$o!#>7%$"3H/e)G'*fj5"!#<$"3*o%>ubisd5!#<$"3;Tlk+.`pp!#>7%7%$"3IEjB/kvL5!#<$"3j(eN&Q<*H5"!#<$"3y:Z&=dt>g$!#=7%$"3[;3iQ2546!#<$"3;b:K/a')R5!#<$"37EC+rN)3a$!#=7%$"3(zB+(=Kr+6!#<$"3708*e`"*H1"!#<$"3#*\i;W*4Tb$!#=7%7%$"3(GQyCaM_/"!#<$"3="=Rd'4`"4"!#<$"3h@$p<gH!fk!#=7%$"3!*f(y.gAw4"!#<$"3hhz6xhK^5!#<$"3EMNPbK6)R'!#=7%$"3+K*eGt`84"!#<$"3mO?-n;km5!#<$"3ebYCJ?I6k!#=7%7%$"3CKX%fRcL1"!#<$"3To.d6X*)z5!#<$"3#\8Y]jY_J*!#=7%$"3b5E"pu+&z5!#<$"3PunGJE'H1"!#<$"3"\V#QO>=c#*!#=7%$"3)yOP3co#y5!#<$"3*4X%p&R'yo5!#<$"3gW)f(=)p*o#*!#=7%7%$"3Pfd&p'HA(3"!#<$"39"f$o$\H)o5!#<$"3'pIX,l%G<7!#<7%$"3U$Q,f<Mc0"!#<$"3k^N<\w-u5!#<$"3U@hUynG67!#<7%$"3Lj754%)zh5!#<$"3p\,*Gl+)o5!#<$"34&[XdN&e77!#<7%7%$"3'GO2^in%=6!#<$"3BO]+XzPd5!#<$"3K;^+%[aI]"!#<7%$"3$*z(\x^*QC5!#<$"3b1@&y>za3"!#<$"3o$)[*f^Xp\"!#<7%$"3SCl>/,BT5!#<$"3()pLCJUen5!#<$"3qDoOY"o#)\"!#<7%7%$"3<zgwdRnF5!#<$"36^0$Rl%od:!#<$!3xVOv*\cue%!#=7%$"3ij54&=$=:6!#<$"3))[%pgM:BW"!#<$!3AcjC+Na7a!#=7%$"3OZsncx?:6!#<$"3ab^'p?$o"["!#<$!3L3mbCp!RB&!#=7%7%$"34T-wb,(3-"!#<$"3A)[tDDlta"!#<$!39)4>!zy1L<!#=7%$"3q,p4()p)>7"!#<$"3x6lUZZj_9!#<$!3;)=&p1kk_D!#=7%$"36kfBY[#f6"!#<$"3b.+l4?/!\"!#<$!3#HDa.X-_P#!#=7%7%$"3POfi74??5!#<$"35N\(y!4*o`"!#<$"3^wXAyC;=6!#=7%$"3U17BIilA6!#<$"3!\1D@44JY"!#<$"3E9&oM]*3/J!#>7%$"3!zgK()\cK6"!#<$"3_fw8CM$o\"!#<$"3"H/:8>FH&[!#>7%7%$"30S1m*3dd-"!#<$"3?%4;8G;j_"!#<$"3iF%oU0EO'R!#=7%$"3u-l>`+5<6!#<$"3!e!Ro=Pot9!#<$"3G9()e)3J#zJ!#=7%$"3Z">"fgF=26!#<$"3r(pEh?*=-:!#<$"3=G&3.ed!\L!#=7%7%$"3'G=_6q6s."!#<$"3=lAw:O!f^"!#<$"3I9wN'zb'*z'!#=7%$"3$*f\qTak06!#<$"3#[tPUQ'4%["!#<$"3dT_ygq[dg!#=7%$"3Ee!pL%\"z4"!#<$"38pTQY"Gi]"!#<$"3%QI5bIr"=i!#=7%7%$"39%f&H)R<J0"!#<$"38WxbV!*H1:!#<$"3@1<@lZ5C'*!#=7%$"3k[:cW(R(*3"!#<$"3'eDUk&4q$\"!#<$"3ijo@1QKZ*)!#=7%$"32NEc(yGi3"!#<$"3[F,(\er#4:!#<$"3%ekQ?=^Q4*!#=7%7%$"3*)\"RvZZ22"!#<$"3E/v)e:H#)\"!#<$"3.&)p(>D_dC"!#<7%$"3*G*zJl'4@2"!#<$"3t&\7T%3x,:!#<$"3MVWfw">G="!#<7%$"31CPo:Czg5!#<$"3$=q$y-MC0:!#<$"3'QL*4(eWk>"!#<7%7%$"3K5kH%))pN4"!#<$"3/`z&)Qrg*["!#<$"3Ah%\;\$zM:!#<7%$"3YK2cesG\5!#<$"3'p/U6'GR5:!#<$"3yQ0N3l?l9!#<7%$"3!pOJB4_F0"!#<$"3%>f&pV([G\"!#<$"3UOz<KDF!["!#<7%7%$"3,Zl?.C"zc"!#<$!3uaoC40G$R"!#<$!3G80SVo%*3Z!#=7%$"3)HX$z'f(3K9!#<$!3CXJv!\>ng"!#<$!3q'[*fcJ0"H&!#=7%$"3\hn&*G(=(*["!#<$!3Un/g\%p%y:!#<$!3]$3mGWB];&!#=7%7%$"3"e_!Ga?df:!#<$!3MCHa1'Q]S"!#<$!3`^'[i?WQ&=!#=7%$"3=u%>d%zUS9!#<$!3mvqX$Rh\f"!#<$!3]McYz+(=V#!#=7%$"3[T^^qrn"\"!#<$!3/3H,'z4)p:!#<$!3!p)H!p!Qs1B!#=7%7%$"3(f2%\b<gd:!#<$!3]wYn**Qi;9!#<$"3#e^:3>=8+"!#=7%$"3-Cf]W#)RU9!#<$!3\B`K+hP$e"!#<$"3>@"fvPKDF%!#>7%$"3(z5)y0y)**["!#<$!3ClU!*H%>Hc"!#<$"3*o'*)[f%>a^&!#>7%7%$"3hVf12m)>c"!#<$!3qfh.$**3zU"!#<$"3G1o#R=sq&Q!#=7%$"3QcS$HR8!Q9!#<$!3HSQ'p+"4s:!#<$"3iN.$*e\y&G$!#=7%$"3f>#QDsAY["!#<$!3*Gs@=Esyb"!#<$"3q]kNrAZ4M!#=7%7%$"3nSz&Q7uGd"!#<$!3!*H$fft&yQ9!#<$"38bX4%*zB9n!#=7%$"3Kf?9we7F9!#<$!34q1/kU@h:!#<$"3u+$[I'[!H9'!#=7%$"3iy2USWYv9!#<$!3f/wKUwoa:!#<$"36TdU9@gmi!#=7%7%$"3?;&e!>"f0f"!#<$!3iv65f;M\9!#<$"3xGQ#*)fMKd*!#=7%$"3z$[T4)3W49!#<$!3PC))*3Me1b"!#<$"31TZ]sR>)**)!#=7%$"3())4uy0pBY"!#<$!3')G#yb0SKb"!#<$"3Q.l<?RpA"*!#=7%7%$"36'3Uk`-_h"!#<$!3v_EP&f'))f9!#<$"3i5$>@NLLC"!#<7%$"3)Q"zbjuz%Q"!#<$!3CZti/M6S:!#<$"3v<@Xw!Q_="!#<7%$"3x;kj%[I`W"!#<$!3F'3)4wkK`:!#<$"3))HSfsg"y>"!#<7%7%$"3kXf:3KnY;!#<$!3'4")o$e`mq9!#<$"3/*=J;kM$H:!#<7%$"3NaS%=zELN"!#<$!3/*=J;kM$H:!#<$"3'4")o$e`mq9!#<7%$"3Udg,`D[C9!#<$!3,9aEkV&[b"!#<$"35s0!3jnL["!#<7%7%$"3F$)=pd)QCb"!#<$!3O)*[sn0*Hi*!#=$!31X.4w>qR^!#=7%$"3s;"3B9hvW"!#<$!3&Hl%3'3e0="!#<$!3Pa'4R-)Hg[!#=7%$"3q5*z(He&z\"!#<$!3(om]:C3m9"!#<$!3C<i.a2z?\!#=7%7%$"374k]q[CW:!#<$!3?1'ym=u%Q(*!#=$!3Pe"e'*yeAG#!#=7%$"3(3f$\H^vb9!#<$!3F#G*=C(4!p6!#<$!3mFh0'\bM+#!#=7%$"3'[0+5Dp(*\"!#<$!31"))QXuD!Q6!#<$!3Hgcyz"=Q1#!#=7%7%$"3eXDJRp_U:!#<$!3haSEa%pO&)*!#=$"3DrU\id;_d!#>7%$"3TauogIZd9!#<$!3AP2V(>!\d6!#<$"373+AB&[N`)!#>7%$"3?S**))4`!z\"!#<$!3YT5/%G/68"!#<$"3Oi36"\h8$z!#>7%7%$"3'Ge\nVisa"!#<$!3#4o)*QcU"o**!#=$"345<Y7!eEV$!#=7%$"39</Djvt_9!#<$!3qusY')G/Y6!#<$"3"=V&RI"*>5P!#=7%$"3[$pc+TnB\"!#<$!3e%=-%\K(e7"!#<$"3q(49dr4,l$!#=7%7%$"3R:$*["R%[e:!#<$!3'[1r\s?"35!#<$"36QfB)4(*)*G'!#=7%$"3g%o5&3c^T9!#<$!3$z2')yTOZ8"!#<$"3v<p!*edCnl!#=7%$"3SEB@z97$["!#<$!3Zux)f@kB7"!#<$"3J`_W7!)>2l!#=7%7%$"3h+t<RdJw:!#<$!3'Hfxp7w#>5!#<$"3mKz.T`xY"*!#=7%$"3Q*pA3E%oB9!#<$!3%)\&ze,"eB6!#<$"3=P1RIKlC%*!#=7%$"3Z(>D1N&4q9!#<$!3Gir>;ib?6!#<$"3ww#eD!4\k$*!#=7%7%$"3`^:jz[%3g"!#<$!3a:c:+NSI5!#<$"3F_=$>BT.?"!#<7%$"3Y[%o.7b"*R"!#<$!3CF:qUOX76!#<$"36w&Rm>I#G7!#<7%$"3%HeNn2mKX"!#<$!3oYiSo:O?6!#<$"3,U!f'e?>A7!#<7%7%$"3;()*)\wR,K;!#<$!3!f-KQ'*=;/"!#<$"3p%y4_t2g["!#<7%$"3$G,,N-')zO"!#<$!3*o6D!z"Q75"!#<$"3J:-zkA*R^"!#<7%$"3<D+"zB"pK9!#<$!3;(p_'[#G<7"!#<$"3u7ySOM$z]"!#<7%7%$"3;*\Ry4UK`"!#<$!32c[6:[r/a!#=$!3e.zT>Qg/a!#=7%$"3%3]g@!zvm9!#<$!3!)**z-U!GCX(!#=$!3'p4#e!='R&f%!#=7%$"3%o3.UPO0^"!#<$!3HQ.&)R%)[/r!#=$!3&\:COx%fqZ!#=7%7%$"3+))y'*)=]__"!#<$!3%[VJ)yd<Db!#=$!38w$RK,\7a#!#=7%$"3+7@.6)\ZZ"!#<$!3-@9Jyq'>L(!#=$!3=5\Zs_YW<!#=7%$"3ORfMl@Y7:!#<$!3_^7@!fKc,(!#=$!3e:5o7S(p">!#=7%7%$"3g:QfF*\L_"!#<$!3mqf')f!*\Vc!#=$"3+3$4U=)oEK!#>7%$"3S%=1C2]mZ"!#<$!3?&)oF(zVO@(!#=$"32(\],h-f5"!#=7%$"3'ou"ekN"4^"!#<$!3-P=V?L`Xp!#=$"3sMWl*>vKO*!#>7%7%$"3+hDDq4HF:!#<$!3>n"44%\/ed!#=$"34f`XHKY'=$!#=7%$"3+RuuH!4FZ"!#<$!3o)oLi"z4*4(!#=$"3"Gy,M"RRcR!#=7%$"3o.OM"4pf]"!#<$!3ks74a]-'*o!#=$"3R+"R0.*p*y$!#=7%7%$"3/&RI$=B-P:!#<$!3eyOaB$)=le!#=$"3yW]]QrhZg!#=7%$"3'\gp;oxHY"!#<$!3Gx"*fLX&>*p!#=$"346yj=d_4o!#=7%$"35&)z!H^su\"!#<$!3L%3i+ON$po!#=$"3cM()>swcWm!#=7%7%$"3n<)y5"[8`:!#<$!3'\x*4*zl?'f!#=$"3:c[#z$H1-*)!#=7%$"3K#=@*)=loW"!#<$!3!43V!eq2&*o!#=$"3p8P]LcOp'*!#=7%$"3R_grp."\["!#<$!3KImnblMko!#=$"39AG"osRK]*!#=7%7%$"3r>,+l4sw:!#<$!3[uRNWdG`g!#=$"3ve@"zW3\<"!#<7%$"3G!))**\.zKU"!#<$!3R")))y7r&Q!o!#=$"3ip#f1)Hm`7!#<7%$"3t&33TS2zY"!#<$!35k0mm`buo!#=$"3oEP:C@hO7!#<7%7%$"31"pb>]9"3;!#<$!3%fE\;du#[h!#=$"3a!Qmub&Qf9!#<7%$"3%*3V/)\&)=R"!#<$!3$**e$\&Go)3n!#=$"3X>O`UWhS:!#<7%$"3jyOJJDoY9!#<$!3/P6KSkP&*o!#=$"3s!HOI(y-B:!#<7%7%$"3%[`))*z6];:!#<$!3)*\3#*e&za;"!#=$!3'G7Vu>&z;b!#=7%$"3;l9,?))\$["!#<$!3%\V$zEZB?J!#=$!3ewob-[?$[%!#=7%$"3Gw5leNm@:!#<$!3wTCRL%)Q\F!#=$!3HYmK(o$)pq%!#=7%7%$"3$o-IkOg!4:!#<$!3c#\gc9(y%G"!#=$!34%Gwutr"\E!#=7%$"3;t*pNjR4\"!#<$!3N#z`+9F4+$!#=$!3m,!Q#[DaO;!#=7%$"3916jp3WB:!#<$!3Hf(H9WZ&fE!#=$!3y*\h))>$yb=!#=7%7%$"3$)fll(zku]"!#<$!3r4icv`e,9!#=$"3uTv1'pe_>#!#>7%$"3;SMM-_`#\"!#<$!3#\2[,"*GT)G!#=$"3ptY'*eb/47!#=7%$"3@o`uU[#>_"!#<$!3AN^T#))*[*e#!#=$"3)fiC$=E3[**!#>7%7%$"3'\()z4gR8^"!#<$!3MW&oX*y%\^"!#=$"3)yLW.Ts!*3$!#=7%$"3/D,-*Rg')["!#<$!3HSd9"Rm2x#!#=$"3-/G^KZy`S!#=7%$"3q(=A[(RI<:!#<$!3G![I-aM<a#!#=$"3%=OFzQ=\%Q!#=7%7%$"3^8=RO.P?:!#<$!36IvB'zx6i"!#=$"3E@*[#Hedcf!#=7%$"3['=3OmH'z9!#<$!3![vw%*[OXm#!#=$"3hMR*y-n0!p!#=7%$"3%Hrx9Ts%4:!#<$!3w:j+K"H2_#!#=$"3Ge+:Qp='p'!#=7%7%$"3r2ycK$f[`"!#<$!3fx*Re'H'\r"!#=$"3YZ%))3[l["))!#=7%$"3H#>KumS^Y"!#<$!302V()>8vqD!#=$"3QA,a!4jlv*!#=7%$"3a'oP&[$3w\"!#<$!3)[SJ2%=+FD!#=$"3ek(ztdzEb*!#=7%7%$"3u(H^D*)\jb"!#<$!3Yz9RnrE(z"!#=$"3">uEY#pwl6!#<7%$"3E-([u5]OW"!#<$!3Y0GK=rW)[#!#=$"3Y'oWR]/GE"!#<7%$"30NC>"\+4["!#<$!37y')Q#eH$[D!#=$"3j9>u^_zT7!#<7%7%$"3&\eWo`,ke"!#<$!32F\wVf*)z=!#=$"3L6mqEx,\9!#<7%$"3/:a:j%)f89!#<$!3%yN\>M=eS#!#=$"3n)Q$HtA)4b"!#<7%$"3')[B.3cif9!#<$!3X*)>!*4-*\d#!#=$"3"4,'Q,j!*G:!#<7%7%$"3]!zC"pjE,:!#<$"3g%)e%*o8'z6$!#=$!3>LZmVJf:b!#=7%$"3]4_(3jL()\"!#<$"3c,%on"Hvn6!#=$!3!oENj&oS%[%!#=7%$"3/*[ZhF&RI:!#<$"3FBX9XZ%fe"!#=$!32O1bO_m2Z!#=7%7%$"3aU,#G"39%\"!#<$"3!pEOY3H/+$!#=$!3)[#[%Q&y()[E!#=7%$"3Xd)zr=fe]"!#<$"37>!y5?&G&G"!#=$!3:h%p=VOoj"!#=7%$"33Wy+oO#>`"!#<$"3dsI3*>mhn"!#=$!3/fw9F)\f&=!#=7%7%$"3U"zxe-$)G\"!#<$"3cf\(*fR1%)G!#=$"31g([U?#p&>#!#>7%$"3d3A7up62:!#<$"3>E$RdK];S"!#=$"3$>bY"3A+47!#=7%$"3.P!fi<'>I:!#<$"3*\]l#)p@xu"!#=$"3R\ApCo$y%**!#>7%7%$"3k)*3Nl88(\"!#<$"3/e)>#pW*)oF!#=$"3;bum4/^!4$!#=7%$"3O,"\YjoG]"!#<$"3rFW\;)>o^"!#=$"3u'o*=LnM_S!#=7%$"3!\C%*y!4\D:!#<$"3')3?`8r$))z"!#=$"3WmkdgI5WQ!#=7%7%$"3(R@Ny!zP1:!#<$"3R<Wi_e*zl#!#=$"3O)z0$[N\if!#=7%$"3-'yk@4AO\"!#<$"3jo)*3L%=xi"!#=$"3]dq$)3$\Y*o!#=7%$"30-?XFv)z^"!#<$"3Bm;duD.C=!#=$"3yQ5hm;$Gp'!#=7%7%$"3s1)QC[$Q?:!#<$"3o@%>Zy^&eD!#=$"3abS!)z'*GG))!#=7%$"3G$>hv^;'z9!#<$"3Mk[*4]irs"!#=$"3H9Xi"*)QJu*!#=7%$"3<%y+vdAq]"!#<$"3ai0#y?eg"=!#=$"3#GM2rAo]a*!#=7%7%$"3_Fk4#e^/a"!#<$"39\+NlMJvC!#=$"3Sfn'="3hn6!#<7%$"3[sN!zT[&f9!#<$"3)oBk.#3S5=!#=$"3(*oYq;1'4E"!#<7%$"3iTbIY?%4\"!#<$"3a\)\EN.by"!#=$"3o"o(4"z\2C"!#<7%7%$"3Iwr[KN9p:!#<$"3!f0tIZ'f(R#!#=$"3of"4Dw61X"!#<7%$"3pBG^nk&3V"!#<$"37I7k7y6))=!#=$"3JS3\P#)Q\:!#<7%$"3RO7b%4F)p9!#<$"3-nR"Q"pI`<!#=$"3&pBLL]-!G:!#<7%7%$"3qL\ynPW&["!#<$"3jlgi$o2vW(!#=$!3dfXi5%fES&!#=7%$"3Im]@Kib9:!#<$"3C!z;N<N'4a!#=$!3')RaP*eStf%!#=7%$"3'Q="eO&)yP:!#<$"3QH")4a3/$*e!#=$!3Q4BrGsprZ!#=7%7%$"3*RHr2oV"y9!#<$"3m]x!)>^%3L(!#=$!3&Q%z]OUvSD!#=7%$"3,1(G#>j&=_"!#<$"3?0^LPxHEb!#=$!3=Uj?\+'\u"!#=7%$"3?jk25&3#R:!#<$"3amyfNB&>)f!#=$!3&p8.[aas">!#=7%7%$"37VN&yFAqZ"!#<$"3a#R%4</\8s!#=$"3V+45*G`uA$!#>7%$"3)oXY@sxH_"!#<$"3Lj%[+W_Ok&!#=$"3#yLh'*4Ee5"!#=7%$"3?%R]RZ'=P:!#<$"3zBXwNODag!#=$"3%4=**[RTGO*!#>7%7%$"3&=E*e7I(=["!#<$"39;5XMTU%4(!#=$"3)H;(pfl9*=$!#=7%$"3:Q2T()p7=:!#<$"3rR=pA(=Fw&!#=$"3"*y*fJe5P&R!#=7%$"32os9%)4#>`"!#<$"3&RE:qFi*4h!#=$"3')o`P;w<)y$!#=7%7%$"3%>\a!\**>#\"!#<$"3\$*pv%*\dup!#=$"3'>r]r,p$fg!#=7%$"313b%40+y]"!#<$"3PieQiyc#)e!#=$"3!R9#**RQx(z'!#=7%$"3a%QIS?mP_"!#<$"3V+l8i"Gm9'!#=$"3aPxF1X!zj'!#=7%7%$"3<a<k%yvr]"!#<$"3utE?%H(ygo!#=$"3=]&yyii-$*)!#=7%$"3%eCe`@CG\"!#<$"37#=SHcbj*f!#=$"3m>+bVf;T'*!#=7%$"3d(z$[a4&H^"!#<$"3qcw![:a_:'!#=$"3a*\)zg3D([*!#=7%7%$"3'=&3sCa:F:!#<$"3WA&\[vknw'!#=$"3Il6o//!)y6!#<7%$"39["z_dWGZ"!#<$"3ULLH-"y.4'!#=$"32j-*Q-r(\7!#<7%$"3C*HZdx()z\"!#<$"3k+x\_![$Hh!#=$"3T:45MaSM7!#<7%7%$"3DHsc2._b:!#<$"33)\=s>mwo'!#=$"3^tyy'pdCY"!#<7%$"3uqFV#pzWW"!#<$"3ydV#*fmZph!#=$"3[E@@.BaP:!#<7%$"3dA&)po%=tZ"!#<$"3Mi*4T<WJ4'!#=$"3s')H14gG@:!#<7%7%$"3YG(**ocOuY"!#<$"3vBDC#GX/="!#<$!3qM(H/dd&R^!#=7%$"3ar-5LMcK:!#<$"3I!>Yhg=Ti*!#=$!3tk-dHCWg[!#=7%$"3;N!4zpuha"!#<$"3U%z`a)\*y,"!#<$!3'zb6-js3#\!#=7%7%$"3;QjCEHSf9!#<$"3xY@tLF)*o6!#<$!3(3Di=B?AG#!#=7%$"3%=m`P2(fS:!#<$"3**e*\74W(Q(*!#=$!3;N?&Q0%\.?!#=7%$"3cw\\p#zya"!#<$"3y-G>%eik-"!#<$!3$G=m:/SQ1#!#=7%7%$"3S"4i+3yyX"!#<$"3yYa)QF'[d6!#<$"3J-e/k"HAv&!#>7%$"3f3z$*>>7U:!#<$"3,fpr*o3P&)*!#=$"31x%o;7&[L&)!#>7%$"3&o5L*y4!fa"!#<$"3e/c.'47M."!#<$"3KkkBVbKJz!#>7%7%$"3,&e&z"*y&GY"!#<$"3nd)*)fb8f9"!#<$"3"esLia)*GV$!#=7%$"3*\T/#3@9P:!#<$"3O_GnoeVp**!#=$"34;Mi'fe*4P!#=7%$"3kIW&3!>DS:!#<$"3i]xhjqwQ5!#<$"3#))f?hLt*\O!#=7%7%$"3>@4YnYHu9!#<$"3H:%)p1u>M6!#<$"398*3%*yx5H'!#=7%$"3!)y!RDL0d_"!#<$"3]F(ehtf'35!#<$"3sURtn]1ml!#=7%$"3giKMuh(4`"!#<$"3WK;`vibU5!#<$"3+)=ZbdGl]'!#=7%7%$"3sTiGB/&>\"!#<$"3=+G_O$yA7"!#<$"3*\"fb*zX-:*!#=7%$"3GePrw&\!3:!#<$"3hUVL1)y0-"!#<$"3&[ls=x#=@%*!#=7%$"3w<\/U3B=:!#<$"3k#G2i(3wW5!#<$"3zp*fm>BDO*!#=7%7%$"3jR&)p9%y_^"!#<$"36'=u_H)o56!#<$"3U$HJhFT4?"!#<7%$"3Pg9I&e@Z["!#<$"3ocHeZ)o@."!#<$"3'\8SC:IwA"!#<7%$"3OVlKMQ?-:!#<$"336B;r*R\/"!#<$"3^b'>7%=&=A"!#<7%7%$"3$fYl")G&[X:!#<$"3F&f1[vt.5"!#<$"3_sJN&[8k["!#<7%$"31MX$=r9XX"!#<$"3_Z00)Q$[U5!#<$"3ZFok9le8:!#<7%$"3a*Q!fYk%>["!#<$"3!)=<*eSgG/"!#<$"3X1.B"Q.x]"!#<7%7%$"3YJY],<r^9!#<$"3o5)*ocUB1;!#<$!3E*yF!4-F5Z!#=7%$"3`o`\)H)G[:!#<$"3K*=5LulPR"!#<$!3t5A(4zH(*G&!#=7%$"3na[o[%>db"!#<$"3!QH$G:'[EX"!#<$!3glYO6JFk^!#=7%7%$"3#*Q%=P`ISW"!#<$"3oH.a;N&[f"!#<$!3i<'*HFD<a=!#=7%$"32h:Gm%pfb"!#<$"3Iq'fM[Y^S"!#<$!3ToYTe<aJC!#=7%$"3!ej-XU9sb"!#<$"3C"Q?zIa7Y"!#<$!3n(QPIlPlI#!#=7%7%$"3i7\fB')zU9!#<$"3pM(\GthLe"!#<$"3!)3V,H(o7+"!#=7%$"3P(30kP,sb"!#<$"3Il-:n#QmT"!#<$"3P">rb*p-tU!#>7%$"3JsS&3T$3b:!#<$"3](=s/lx#o9!#<$"3TD#>;!**p:b!#>7%7%$"3()Q[[Pv.[9!#<$"31$o*3,dmr:!#<$"3\Z%3(4qQbQ!#=7%$"37h^^iC'>b"!#<$"3$pJ5*)HM$G9!#<$"3S%p[J8quG$!#=7%$"3%4V?%HYM\:!#<$"3`\_8jEyt9!#<$"3beLtVxU5M!#=7%7%$"3*H&4!HQv'f9!#<$"3**3$=r*\jf:!#<$"3x.-z"3ooq'!#=7%$"3+Z!*4<YKS:!#<$"3+"p")G+l.W"!#<$"35_ENvZF]h!#=7%$"3$[#)p$Gv4S:!#<$"3S[>1p6%yZ"!#<$"3Ww/4h2yqi!#=7%7%$"3d4QG$efsZ"!#<$"3WYfVV"=ra"!#<$"3'Go'H'eTJb*!#=7%$"3U!>;nTSF_"!#<$"3b`Scc=)GX"!#<$"3)p)=8&)pG=!*!#=7%$"3r#R?v*ptF:!#<$"37in2[%[/["!#<$"3T8o6.k3M"*!#=7%7%$"3GzQtnk9*\"!#<$"3%[]/+T`Y`"!#<$"3+m'4Hcz$R7!#<7%$"3t?hEKN&3]"!#<$"3;&\&***eY`Y"!#<$"3Pi<ml=>*="!#<7%$"3?gCCwEF8:!#<$"3y>n9]pm!["!#<$"36%Hb3#y0+7!#<7%7%$"3O8O.%35__"!#<$"3O8O.%35__"!#<$"3O8O.%35__"!#<7%$"3k'Qmf"**yu9!#<$"3k'Qmf"**yu9!#<$"3k'Qmf"**yu9!#<7%$"3guFxEO*[\"!#<$"3^[YOy(=lZ"!#<$"3b6(oD?1d["!#<-%%MESHG6#X.I)anythingG%*protectedG6"6"[gl'!%"!!$^`r":":"$0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000800000000000000000000000000000008000000000000000800000000000000000000000000000008000000000000000800000000000000000000000000000008000000000000000800000000000000000000000000000008000000000000000800000000000000000000000000000008000000000000000800000000000000000000000000000000000000000000000800000000000000000000000000000000000000000000000800000000000000000000000000000000000000000000000800000000000000000000000000000000000000000000000800000000000000000000000000000000000000000000000800000000000000000000000000000000000000000000000800000000000000000000000000000003FA555555555555500000000000000003F5C71C71C71C71C3FA49B3E2F85D4B83F8615FD02195E103F5C71C71C71C71C3FA279A74590331E3F955555555555503F5C71C71C71C71C3F9E2B7DDDFEFA6C3F9E2B7DDDFEFA603F5C71C71C71C71C3F955555555555603FA279A7459033193F5C71C71C71C71C3F8615FD02195E343FA49B3E2F85D4B63F5C71C71C71C71C3C9366EC4220D92A3FA55555555555553F5C71C71C71C71CBF8615FD02195DE93FA49B3E2F85D4BB3F5C71C71C71C71CBF955555555555403FA279A7459033223F5C71C71C71C71CBF9E2B7DDDFEFA523F9E2B7DDDFEFA7A3F5C71C71C71C71CBFA279A7459033143F955555555555703F5C71C71C71C71CBFA49B3E2F85D4B43F8615FD02195E593F5C71C71C71C71CBFA55555555555553CA366EC4220D92A3F5C71C71C71C71CBFA49B3E2F85D4BEBF8615FD02195DC43F5C71C71C71C71CBFA279A745903328BF9555555555552D3F5C71C71C71C71CBF9E2B7DDDFEFA89BF9E2B7DDDFEFA423F5C71C71C71C71CBF95555555555580BFA279A7459033103F5C71C71C71C71CBF8615FD02195E79BFA49B3E2F85D4B23F5C71C71C71C71CBCABC50D0DDBF06ABFA55555555555553F5C71C71C71C71C3F8615FD02195DA4BFA49B3E2F85D4C03F5C71C71C71C71C3F9555555555551EBFA279A74590332C3F5C71C71C71C71C3F9E2B7DDDFEFA36BF9E2B7DDDFEFA953F5C71C71C71C71C3FA279A74590330ABF955555555555913F5C71C71C71C71C3FA49B3E2F85D4AEBF8615FD02195EA43F5C71C71C71C71C3FA5555555555555BCB366EC4220D92A3F5C71C71C71C71C3FB555555555555500000000000000003F7C71C71C71C71C3FB49B3E2F85D4B83F9615FD02195E103F7C71C71C71C71C3FB279A74590331E3FA55555555555503F7C71C71C71C71C3FAE2B7DDDFEFA6C3FAE2B7DDDFEFA603F7C71C71C71C71C3FA55555555555603FB279A7459033193F7C71C71C71C71C3F9615FD02195E343FB49B3E2F85D4B63F7C71C71C71C71C3CA366EC4220D92A3FB55555555555553F7C71C71C71C71CBF9615FD02195DE93FB49B3E2F85D4BB3F7C71C71C71C71CBFA55555555555403FB279A7459033223F7C71C71C71C71CBFAE2B7DDDFEFA523FAE2B7DDDFEFA7A3F7C71C71C71C71CBFB279A7459033143FA55555555555703F7C71C71C71C71CBFB49B3E2F85D4B43F9615FD02195E593F7C71C71C71C71CBFB55555555555553CB366EC4220D92A3F7C71C71C71C71CBFB49B3E2F85D4BEBF9615FD02195DC43F7C71C71C71C71CBFB279A745903328BFA555555555552D3F7C71C71C71C71CBFAE2B7DDDFEFA89BFAE2B7DDDFEFA423F7C71C71C71C71CBFA5555555555580BFB279A7459033103F7C71C71C71C71CBF9615FD02195E79BFB49B3E2F85D4B23F7C71C71C71C71CBCBBC50D0DDBF06ABFB55555555555553F7C71C71C71C71C3F9615FD02195DA4BFB49B3E2F85D4C03F7C71C71C71C71C3FA555555555551EBFB279A74590332C3F7C71C71C71C71C3FAE2B7DDDFEFA36BFAE2B7DDDFEFA953F7C71C71C71C71C3FB279A74590330ABFA55555555555913F7C71C71C71C71C3FB49B3E2F85D4AEBF9615FD02195EA43F7C71C71C71C71C3FB5555555555555BCC366EC4220D92A3F7C71C71C71C71C3FC000000000000000000000000000003F900000000000003FBEE8DD4748BF153FA0907DC193068C3F900000000000003FBBB67AE8584CAD3FAFFFFFFFFFFFF83F900000000000003FB6A09E667F3BD13FB6A09E667F3BC83F900000000000003FB00000000000083FBBB67AE8584CA63F900000000000003FA0907DC19306A73FBEE8DD4748BF123F900000000000003CAD1A62633145C03FC00000000000003F90000000000000BFA0907DC193066F3FBEE8DD4748BF193F90000000000000BFAFFFFFFFFFFFE03FBBB67AE8584CB43F90000000000000BFB6A09E667F3BBE3FB6A09E667F3BDC3F90000000000000BFBBB67AE8584C9F3FB00000000000143F90000000000000BFBEE8DD4748BF0E3FA0907DC19306C33F90000000000000BFC00000000000003CBD1A62633145C03F90000000000000BFBEE8DD4748BF1DBFA0907DC19306533F90000000000000BFBBB67AE8584CBCBFAFFFFFFFFFFFC43F90000000000000BFB6A09E667F3BE7BFB6A09E667F3BB23F90000000000000BFB0000000000020BFBBB67AE8584C983F90000000000000BFA0907DC19306DBBFBEE8DD4748BF0B3F90000000000000BCC4D3C9CA64F450BFC00000000000003F900000000000003FA0907DC193063BBFBEE8DD4748BF203F900000000000003FAFFFFFFFFFFFAEBFBBB67AE8584CC23F900000000000003FB6A09E667F3BA9BFB6A09E667F3BF03F900000000000003FBBB67AE8584C90BFB000000000002D3F900000000000003FBEE8DD4748BF06BFA0907DC19306FB3F900000000000003FC0000000000000BCCD1A62633145C03F900000000000003FC555555555555500000000000000003F9C71C71C71C71C3FC49B3E2F85D4B83FA615FD02195E103F9C71C71C71C71C3FC279A74590331E3FB55555555555503F9C71C71C71C71C3FBE2B7DDDFEFA6C3FBE2B7DDDFEFA603F9C71C71C71C71C3FB55555555555603FC279A7459033193F9C71C71C71C71C3FA615FD02195E343FC49B3E2F85D4B63F9C71C71C71C71C3CB366EC4220D92A3FC55555555555553F9C71C71C71C71CBFA615FD02195DE93FC49B3E2F85D4BB3F9C71C71C71C71CBFB55555555555403FC279A7459033223F9C71C71C71C71CBFBE2B7DDDFEFA523FBE2B7DDDFEFA7A3F9C71C71C71C71CBFC279A7459033143FB55555555555703F9C71C71C71C71CBFC49B3E2F85D4B43FA615FD02195E593F9C71C71C71C71CBFC55555555555553CC366EC4220D92A3F9C71C71C71C71CBFC49B3E2F85D4BEBFA615FD02195DC43F9C71C71C71C71CBFC279A745903328BFB555555555552D3F9C71C71C71C71CBFBE2B7DDDFEFA89BFBE2B7DDDFEFA423F9C71C71C71C71CBFB5555555555580BFC279A7459033103F9C71C71C71C71CBFA615FD02195E79BFC49B3E2F85D4B23F9C71C71C71C71CBCCBC50D0DDBF06ABFC55555555555553F9C71C71C71C71C3FA615FD02195DA4BFC49B3E2F85D4C03F9C71C71C71C71C3FB555555555551EBFC279A74590332C3F9C71C71C71C71C3FBE2B7DDDFEFA36BFBE2B7DDDFEFA953F9C71C71C71C71C3FC279A74590330ABFB55555555555913F9C71C71C71C71C3FC49B3E2F85D4AEBFA615FD02195EA43F9C71C71C71C71C3FC5555555555555BCD366EC4220D92A3F9C71C71C71C71C3FCAAAAAAAAAAAAA00000000000000003FA638E38E38E38D3FC9C20DBB6749E63FAB9B7C429FB5933FA638E38E38E38D3FC7181116F43FE53FBAAAAAAAAAAAA33FA638E38E38E38D3FC2DB2EAABF5C833FC2DB2EAABF5C7C3FA638E38E38E38D3FBAAAAAAAAAAAB73FC7181116F43FDF3FA638E38E38E38D3FAB9B7C429FB5C03FC9C20DBB6749E43FA638E38E38E38D3CB840A752A90F753FCAAAAAAAAAAAAA3FA638E38E38E38DBFAB9B7C429FB5633FC9C20DBB6749EA3FA638E38E38E38DBFBAAAAAAAAAAA8F3FC7181116F43FEB3FA638E38E38E38DBFC2DB2EAABF5C733FC2DB2EAABF5C8C3FA638E38E38E38DBFC7181116F43FD93FBAAAAAAAAAAACB3FA638E38E38E38DBFC9C20DBB6749E03FAB9B7C429FB5EF3FA638E38E38E38DBFCAAAAAAAAAAAAA3CC840A752A90F753FA638E38E38E38DBFC9C20DBB6749EDBFAB9B7C429FB5343FA638E38E38E38DBFC7181116F43FF1BFBAAAAAAAAAAA783FA638E38E38E38DBFC2DB2EAABF5C95BFC2DB2EAABF5C693FA638E38E38E38DBFBAAAAAAAAAAADFBFC7181116F43FD33FA638E38E38E38DBFAB9B7C429FB617BFC9C20DBB6749DE3FA638E38E38E38DBCD15B2828A97642BFCAAAAAAAAAAAAA3FA638E38E38E38D3FAB9B7C429FB50CBFC9C20DBB6749EF3FA638E38E38E38D3FBAAAAAAAAAAA66BFC7181116F43FF63FA638E38E38E38D3FC2DB2EAABF5C62BFC2DB2EAABF5C9D3FA638E38E38E38D3FC7181116F43FCDBFBAAAAAAAAAAAF53FA638E38E38E38D3FC9C20DBB6749DABFAB9B7C429FB64C3FA638E38E38E38D3FCAAAAAAAAAAAAABCD840A752A90F753FA638E38E38E38D3FCFFFFFFFFFFFFF00000000000000003FAFFFFFFFFFFFFE3FCEE8DD4748BF143FB0907DC193068B3FAFFFFFFFFFFFFE3FCBB67AE8584CAC3FBFFFFFFFFFFFF73FAFFFFFFFFFFFFE3FC6A09E667F3BD03FC6A09E667F3BC73FAFFFFFFFFFFFFE3FC00000000000073FCBB67AE8584CA53FAFFFFFFFFFFFFE3FB0907DC19306A63FCEE8DD4748BF113FAFFFFFFFFFFFFE3CBD1A62633145BF3FCFFFFFFFFFFFFF3FAFFFFFFFFFFFFEBFB0907DC193066E3FCEE8DD4748BF183FAFFFFFFFFFFFFEBFBFFFFFFFFFFFDF3FCBB67AE8584CB33FAFFFFFFFFFFFFEBFC6A09E667F3BBD3FC6A09E667F3BDB3FAFFFFFFFFFFFFEBFCBB67AE8584C9E3FC00000000000133FAFFFFFFFFFFFFEBFCEE8DD4748BF0D3FB0907DC19306C23FAFFFFFFFFFFFFEBFCFFFFFFFFFFFFF3CCD1A62633145BF3FAFFFFFFFFFFFFEBFCEE8DD4748BF1CBFB0907DC19306523FAFFFFFFFFFFFFEBFCBB67AE8584CBBBFBFFFFFFFFFFFC33FAFFFFFFFFFFFFEBFC6A09E667F3BE6BFC6A09E667F3BB13FAFFFFFFFFFFFFEBFC000000000001FBFCBB67AE8584C973FAFFFFFFFFFFFFEBFB0907DC19306DABFCEE8DD4748BF0A3FAFFFFFFFFFFFFEBCD4D3C9CA64F44FBFCFFFFFFFFFFFFF3FAFFFFFFFFFFFFE3FB0907DC193063ABFCEE8DD4748BF1F3FAFFFFFFFFFFFFE3FBFFFFFFFFFFFADBFCBB67AE8584CC13FAFFFFFFFFFFFFE3FC6A09E667F3BA8BFC6A09E667F3BEF3FAFFFFFFFFFFFFE3FCBB67AE8584C8FBFC000000000002C3FAFFFFFFFFFFFFE3FCEE8DD4748BF05BFB0907DC19306FA3FAFFFFFFFFFFFFE3FCFFFFFFFFFFFFFBCDD1A62633145BF3FAFFFFFFFFFFFFE3FD2AAAAAAAAAAAA00000000000000003FB5C71C71C71C703FD207D669951A213FB3533D61D6324D3FB5C71C71C71C703FD02A725CDE2CBA3FC2AAAAAAAAAAA53FB5C71C71C71C703FCA660E223F1B1E3FCA660E223F1B133FB5C71C71C71C703FC2AAAAAAAAAAB33FD02A725CDE2CB63FB5C71C71C71C703FB3533D61D6326D3FD207D669951A1F3FB5C71C71C71C703CC0FA0EB9DCBE053FD2AAAAAAAAAAAA3FB5C71C71C71C70BFB3533D61D6322B3FD207D669951A233FB5C71C71C71C70BFC2AAAAAAAAAA973FD02A725CDE2CBE3FB5C71C71C71C70BFCA660E223F1B073FCA660E223F1B2A3FB5C71C71C71C70BFD02A725CDE2CB23FC2AAAAAAAAAAC13FB5C71C71C71C70BFD207D669951A1D3FB3533D61D6328D3FB5C71C71C71C70BFD2AAAAAAAAAAAA3CD0FA0EB9DCBE053FB5C71C71C71C70BFD207D669951A26BFB3533D61D6320B3FB5C71C71C71C70BFD02A725CDE2CC2BFC2AAAAAAAAAA873FB5C71C71C71C70BFCA660E223F1B37BFCA660E223F1AF93FB5C71C71C71C70BFC2AAAAAAAAAACFBFD02A725CDE2CAD3FB5C71C71C71C70BFB3533D61D632A9BFD207D669951A1B3FB5C71C71C71C70BCD84C6B6C20725CBFD2AAAAAAAAAAAA3FB5C71C71C71C703FB3533D61D631EFBFD207D669951A273FB5C71C71C71C703FC2AAAAAAAAAA7ABFD02A725CDE2CC63FB5C71C71C71C703FCA660E223F1AEFBFCA660E223F1B423FB5C71C71C71C703FD02A725CDE2CA9BFC2AAAAAAAAAADE3FB5C71C71C71C703FD207D669951A18BFB3533D61D632CF3FB5C71C71C71C703FD2AAAAAAAAAAAABCE0FA0EB9DCBE053FB5C71C71C71C703FD555555555555500000000000000003FBC71C71C71C71C3FD49B3E2F85D4B83FB615FD02195E103FBC71C71C71C71C3FD279A74590331E3FC55555555555503FBC71C71C71C71C3FCE2B7DDDFEFA6C3FCE2B7DDDFEFA603FBC71C71C71C71C3FC55555555555603FD279A7459033193FBC71C71C71C71C3FB615FD02195E343FD49B3E2F85D4B63FBC71C71C71C71C3CC366EC4220D92A3FD55555555555553FBC71C71C71C71CBFB615FD02195DE93FD49B3E2F85D4BB3FBC71C71C71C71CBFC55555555555403FD279A7459033223FBC71C71C71C71CBFCE2B7DDDFEFA523FCE2B7DDDFEFA7A3FBC71C71C71C71CBFD279A7459033143FC55555555555703FBC71C71C71C71CBFD49B3E2F85D4B43FB615FD02195E593FBC71C71C71C71CBFD55555555555553CD366EC4220D92A3FBC71C71C71C71CBFD49B3E2F85D4BEBFB615FD02195DC43FBC71C71C71C71CBFD279A745903328BFC555555555552D3FBC71C71C71C71CBFCE2B7DDDFEFA89BFCE2B7DDDFEFA423FBC71C71C71C71CBFC5555555555580BFD279A7459033103FBC71C71C71C71CBFB615FD02195E79BFD49B3E2F85D4B23FBC71C71C71C71CBCDBC50D0DDBF06ABFD55555555555553FBC71C71C71C71C3FB615FD02195DA4BFD49B3E2F85D4C03FBC71C71C71C71C3FC555555555551EBFD279A74590332C3FBC71C71C71C71C3FCE2B7DDDFEFA36BFCE2B7DDDFEFA953FBC71C71C71C71C3FD279A74590330ABFC55555555555913FBC71C71C71C71C3FD49B3E2F85D4AEBFB615FD02195EA43FBC71C71C71C71C3FD5555555555555BCE366EC4220D92A3FBC71C71C71C71C3FD800000000000000000000000000003FC20000000000003FD72EA5F5768F503FB8D8BCA25C89D23FC20000000000003FD4C8DC2E4239823FC7FFFFFFFFFFFA3FC20000000000003FD0F876CCDF6CDD3FD0F876CCDF6CD63FC20000000000003FC800000000000C3FD4C8DC2E42397C3FC20000000000003FB8D8BCA25C89FA3FD72EA5F5768F4E3FC20000000000003CC5D3C9CA64F4503FD80000000000003FC2000000000000BFB8D8BCA25C89A63FD72EA5F5768F533FC2000000000000BFC7FFFFFFFFFFE83FD4C8DC2E4239873FC2000000000000BFD0F876CCDF6CCE3FD0F876CCDF6CE53FC2000000000000BFD4C8DC2E4239773FC800000000001E3FC2000000000000BFD72EA5F5768F4A3FB8D8BCA25C8A243FC2000000000000BFD80000000000003CD5D3C9CA64F4503FC2000000000000BFD72EA5F5768F56BFB8D8BCA25C897C3FC2000000000000BFD4C8DC2E42398DBFC7FFFFFFFFFFD33FC2000000000000BFD0F876CCDF6CEDBFD0F876CCDF6CC63FC2000000000000BFC8000000000030BFD4C8DC2E4239723FC2000000000000BFB8D8BCA25C8A48BFD72EA5F5768F483FC2000000000000BCDF3DAEAF976E78BFD80000000000003FC20000000000003FB8D8BCA25C8958BFD72EA5F5768F583FC20000000000003FC7FFFFFFFFFFC2BFD4C8DC2E4239923FC20000000000003FD0F876CCDF6CBFBFD0F876CCDF6CF43FC20000000000003FD4C8DC2E42396CBFC80000000000443FC20000000000003FD72EA5F5768F44BFB8D8BCA25C8A783FC20000000000003FD8000000000000BCE5D3C9CA64F4503FC20000000000003FDAAAAAAAAAAAAB00000000000000003FC638E38E38E38F3FD9C20DBB6749E73FBB9B7C429FB5943FC638E38E38E38F3FD7181116F43FE63FCAAAAAAAAAAAA43FC638E38E38E38F3FD2DB2EAABF5C843FD2DB2EAABF5C7C3FC638E38E38E38F3FCAAAAAAAAAAAB83FD7181116F43FE03FC638E38E38E38F3FBB9B7C429FB5C13FD9C20DBB6749E53FC638E38E38E38F3CC840A752A90F763FDAAAAAAAAAAAAB3FC638E38E38E38FBFBB9B7C429FB5643FD9C20DBB6749EA3FC638E38E38E38FBFCAAAAAAAAAAA903FD7181116F43FEC3FC638E38E38E38FBFD2DB2EAABF5C743FD2DB2EAABF5C8D3FC638E38E38E38FBFD7181116F43FDA3FCAAAAAAAAAAACC3FC638E38E38E38FBFD9C20DBB6749E13FBB9B7C429FB5F03FC638E38E38E38FBFDAAAAAAAAAAAAB3CD840A752A90F763FC638E38E38E38FBFD9C20DBB6749EEBFBB9B7C429FB5353FC638E38E38E38FBFD7181116F43FF2BFCAAAAAAAAAAA793FC638E38E38E38FBFD2DB2EAABF5C96BFD2DB2EAABF5C6A3FC638E38E38E38FBFCAAAAAAAAAAAE0BFD7181116F43FD43FC638E38E38E38FBFBB9B7C429FB618BFD9C20DBB6749DF3FC638E38E38E38FBCE15B2828A97643BFDAAAAAAAAAAAAB3FC638E38E38E38F3FBB9B7C429FB50DBFD9C20DBB6749F03FC638E38E38E38F3FCAAAAAAAAAAA67BFD7181116F43FF73FC638E38E38E38F3FD2DB2EAABF5C62BFD2DB2EAABF5C9E3FC638E38E38E38F3FD7181116F43FCEBFCAAAAAAAAAAAF63FC638E38E38E38F3FD9C20DBB6749DBBFBB9B7C429FB64D3FC638E38E38E38F3FDAAAAAAAAAAAABBCE840A752A90F763FC638E38E38E38F3FDD55555555555600000000000000003FCAE38E38E38E3A3FDC55758158047F3FBE5E3BE2E2E1573FCAE38E38E38E3A3FD96745FFA6464A3FCD55555555554F3FCAE38E38E38E3A3FD4BDE6889F4C2B3FD4BDE6889F4C223FCAE38E38E38E3A3FCD5555555555653FD96745FFA646433FCAE38E38E38E3A3FBE5E3BE2E2E1883FDC55758158047C3FCAE38E38E38E3A3CCAAD84DAED2A9B3FDD5555555555563FCAE38E38E38E3ABFBE5E3BE2E2E1223FDC5575815804823FCAE38E38E38E3ABFCD5555555555393FD96745FFA646503FCAE38E38E38E3ABFD4BDE6889F4C193FD4BDE6889F4C353FCAE38E38E38E3ABFD96745FFA6463D3FCD55555555557B3FCAE38E38E38E3ABFDC5575815804783FBE5E3BE2E2E1BC3FCAE38E38E38E3ABFDD5555555555563CDAAD84DAED2A9B3FCAE38E38E38E3ABFDC557581580486BFBE5E3BE2E2E0EE3FCAE38E38E38E3ABFD96745FFA64658BFCD55555555551F3FCAE38E38E38E3ABFD4BDE6889F4C3FBFD4BDE6889F4C0E3FCAE38E38E38E3ABFCD555555555591BFD96745FFA646373FCAE38E38E38E3ABFBE5E3BE2E2E1E8BFDC5575815804753FCAE38E38E38E3ABCE31778F987354ABFDD5555555555563FCAE38E38E38E3A3FBE5E3BE2E2E0C2BFDC5575815804893FCAE38E38E38E3A3FCD55555555550BBFD96745FFA6465D3FCAE38E38E38E3A3FD4BDE6889F4C06BFD4BDE6889F4C473FCAE38E38E38E3A3FD96745FFA6462FBFCD5555555555A93FCAE38E38E38E3A3FDC557581580471BFBE5E3BE2E2E2223FCAE38E38E38E3A3FDD555555555556BCEAAD84DAED2A9B3FCAE38E38E38E3A3FE000000000000000000000000000003FD00000000000003FDEE8DD4748BF153FC0907DC193068C3FD00000000000003FDBB67AE8584CAD3FCFFFFFFFFFFFF83FD00000000000003FD6A09E667F3BD13FD6A09E667F3BC83FD00000000000003FD00000000000083FDBB67AE8584CA63FD00000000000003FC0907DC19306A73FDEE8DD4748BF123FD00000000000003CCD1A62633145C03FE00000000000003FD0000000000000BFC0907DC193066F3FDEE8DD4748BF193FD0000000000000BFCFFFFFFFFFFFE03FDBB67AE8584CB43FD0000000000000BFD6A09E667F3BBE3FD6A09E667F3BDC3FD0000000000000BFDBB67AE8584C9F3FD00000000000143FD0000000000000BFDEE8DD4748BF0E3FC0907DC19306C33FD0000000000000BFE00000000000003CDD1A62633145C03FD0000000000000BFDEE8DD4748BF1DBFC0907DC19306533FD0000000000000BFDBB67AE8584CBCBFCFFFFFFFFFFFC43FD0000000000000BFD6A09E667F3BE7BFD6A09E667F3BB23FD0000000000000BFD0000000000020BFDBB67AE8584C983FD0000000000000BFC0907DC19306DBBFDEE8DD4748BF0B3FD0000000000000BCE4D3C9CA64F450BFE00000000000003FD00000000000003FC0907DC193063BBFDEE8DD4748BF203FD00000000000003FCFFFFFFFFFFFAEBFDBB67AE8584CC23FD00000000000003FD6A09E667F3BA9BFD6A09E667F3BF03FD00000000000003FDBB67AE8584C90BFD000000000002D3FD00000000000003FDEE8DD4748BF06BFC0907DC19306FB3FD00000000000003FE0000000000000BCED1A62633145C03FD00000000000003FE155555555555500000000000000003FD2C71C71C71C713FE0BE22869CBCD63FC1F1DD91B49C6D3FD2C71C71C71C713FDE05AFD10A53103FD15555555555513FD2C71C71C71C713FD88356445F2B773FD88356445F2B6E3FD2C71C71C71C713FD155555555555E3FDE05AFD10A53093FD2C71C71C71C713FC1F1DD91B49C8A3FE0BE22869CBCD43FD2C71C71C71C713CCF873FEB7560E53FE15555555555553FD2C71C71C71C71BFC1F1DD91B49C4D3FE0BE22869CBCD83FD2C71C71C71C71BFD15555555555443FDE05AFD10A53183FD2C71C71C71C71BFD88356445F2B633FD88356445F2B833FD2C71C71C71C71BFDE05AFD10A53013FD155555555556B3FD2C71C71C71C71BFE0BE22869CBCD23FC1F1DD91B49CA83FD2C71C71C71C71BFE15555555555553CDF873FEB7560E53FD2C71C71C71C71BFE0BE22869CBCDABFC1F1DD91B49C2F3FD2C71C71C71C71BFDE05AFD10A5320BFD15555555555353FD2C71C71C71C71BFD88356445F2B8FBFD88356445F2B563FD2C71C71C71C71BFD1555555555578BFDE05AFD10A52F93FD2C71C71C71C71BFC1F1DD91B49CC2BFE0BE22869CBCD03FD2C71C71C71C71BCE6901A9B42B356BFE15555555555553FD2C71C71C71C713FC1F1DD91B49C15BFE0BE22869CBCDC3FD2C71C71C71C713FD1555555555529BFDE05AFD10A53273FD2C71C71C71C713FD88356445F2B4CBFD88356445F2B993FD2C71C71C71C713FDE05AFD10A52F1BFD15555555555863FD2C71C71C71C713FE0BE22869CBCCEBFC1F1DD91B49CE53FD2C71C71C71C713FE1555555555555BCEF873FEB7560E53FD2C71C71C71C713FE2AAAAAAAAAAAA00000000000000003FD5C71C71C71C703FE207D669951A213FC3533D61D6324D3FD5C71C71C71C703FE02A725CDE2CBA3FD2AAAAAAAAAAA53FD5C71C71C71C703FDA660E223F1B1E3FDA660E223F1B133FD5C71C71C71C703FD2AAAAAAAAAAB33FE02A725CDE2CB63FD5C71C71C71C703FC3533D61D6326D3FE207D669951A1F3FD5C71C71C71C703CD0FA0EB9DCBE053FE2AAAAAAAAAAAA3FD5C71C71C71C70BFC3533D61D6322B3FE207D669951A233FD5C71C71C71C70BFD2AAAAAAAAAA973FE02A725CDE2CBE3FD5C71C71C71C70BFDA660E223F1B073FDA660E223F1B2A3FD5C71C71C71C70BFE02A725CDE2CB23FD2AAAAAAAAAAC13FD5C71C71C71C70BFE207D669951A1D3FC3533D61D6328D3FD5C71C71C71C70BFE2AAAAAAAAAAAA3CE0FA0EB9DCBE053FD5C71C71C71C70BFE207D669951A26BFC3533D61D6320B3FD5C71C71C71C70BFE02A725CDE2CC2BFD2AAAAAAAAAA873FD5C71C71C71C70BFDA660E223F1B37BFDA660E223F1AF93FD5C71C71C71C70BFD2AAAAAAAAAACFBFE02A725CDE2CAD3FD5C71C71C71C70BFC3533D61D632A9BFE207D669951A1B3FD5C71C71C71C70BCE84C6B6C20725CBFE2AAAAAAAAAAAA3FD5C71C71C71C703FC3533D61D631EFBFE207D669951A273FD5C71C71C71C703FD2AAAAAAAAAA7ABFE02A725CDE2CC63FD5C71C71C71C703FDA660E223F1AEFBFDA660E223F1B423FD5C71C71C71C703FE02A725CDE2CA9BFD2AAAAAAAAAADE3FD5C71C71C71C703FE207D669951A18BFC3533D61D632CF3FD5C71C71C71C703FE2AAAAAAAAAAAABCF0FA0EB9DCBE053FD5C71C71C71C703FE3FFFFFFFFFFFF00000000000000003FD8FFFFFFFFFFFE3FE3518A4C8D776C3FC4B49D31F7C82E3FD8FFFFFFFFFFFE3FE1520CD1372FEB3FD3FFFFFFFFFFFA3FD8FFFFFFFFFFFE3FDC48C6001F0AC43FDC48C6001F0AB93FD8FFFFFFFFFFFE3FD40000000000093FE1520CD1372FE73FD8FFFFFFFFFFFE3FC4B49D31F7C8503FE3518A4C8D776A3FD8FFFFFFFFFFFE3CD2307D7DFECB973FE3FFFFFFFFFFFF3FD8FFFFFFFFFFFEBFC4B49D31F7C80A3FE3518A4C8D776F3FD8FFFFFFFFFFFEBFD3FFFFFFFFFFEB3FE1520CD1372FF03FD8FFFFFFFFFFFEBFDC48C6001F0AAC3FDC48C6001F0AD23FD8FFFFFFFFFFFEBFE1520CD1372FE33FD40000000000183FD8FFFFFFFFFFFEBFE3518A4C8D77683FC4B49D31F7C8733FD8FFFFFFFFFFFEBFE3FFFFFFFFFFFF3CE2307D7DFECB973FD8FFFFFFFFFFFEBFE3518A4C8D7771BFC4B49D31F7C7E73FD8FFFFFFFFFFFEBFE1520CD1372FF5BFD3FFFFFFFFFFDA3FD8FFFFFFFFFFFEBFDC48C6001F0ADFBFDC48C6001F0A9D3FD8FFFFFFFFFFFEBFD4000000000027BFE1520CD1372FDE3FD8FFFFFFFFFFFEBFC4B49D31F7C891BFE3518A4C8D77663FD8FFFFFFFFFFFEBCEA08BC3CFE3163BFE3FFFFFFFFFFFF3FD8FFFFFFFFFFFE3FC4B49D31F7C7C9BFE3518A4C8D77733FD8FFFFFFFFFFFE3FD3FFFFFFFFFFCCBFE1520CD1372FF83FD8FFFFFFFFFFFE3FDC48C6001F0A92BFDC48C6001F0AEB3FD8FFFFFFFFFFFE3FE1520CD1372FD9BFD40000000000373FD8FFFFFFFFFFFE3FE3518A4C8D7763BFC4B49D31F7C8B93FD8FFFFFFFFFFFE3FE3FFFFFFFFFFFFBCF2307D7DFECB973FD8FFFFFFFFFFFE3FE555555555555400000000000000003FDC71C71C71C7193FE49B3E2F85D4B73FC615FD02195E0F3FDC71C71C71C7193FE279A74590331D3FD555555555554F3FDC71C71C71C7193FDE2B7DDDFEFA6A3FDE2B7DDDFEFA5E3FDC71C71C71C7193FD555555555555F3FE279A7459033183FDC71C71C71C7193FC615FD02195E333FE49B3E2F85D4B53FDC71C71C71C7193CD366EC4220D9293FE55555555555543FDC71C71C71C719BFC615FD02195DE83FE49B3E2F85D4BA3FDC71C71C71C719BFD555555555553F3FE279A7459033223FDC71C71C71C719BFDE2B7DDDFEFA513FDE2B7DDDFEFA793FDC71C71C71C719BFE279A7459033143FD555555555556F3FDC71C71C71C719BFE49B3E2F85D4B33FC615FD02195E583FDC71C71C71C719BFE55555555555543CE366EC4220D9293FDC71C71C71C719BFE49B3E2F85D4BDBFC615FD02195DC33FDC71C71C71C719BFE279A745903327BFD555555555552C3FDC71C71C71C719BFDE2B7DDDFEFA87BFDE2B7DDDFEFA413FDC71C71C71C719BFD555555555557FBFE279A74590330F3FDC71C71C71C719BFC615FD02195E78BFE49B3E2F85D4B13FDC71C71C71C719BCEBC50D0DDBF069BFE55555555555543FDC71C71C71C7193FC615FD02195DA3BFE49B3E2F85D4BF3FDC71C71C71C7193FD555555555551DBFE279A74590332B3FDC71C71C71C7193FDE2B7DDDFEFA35BFDE2B7DDDFEFA933FDC71C71C71C7193FE279A74590330ABFD55555555555903FDC71C71C71C7193FE49B3E2F85D4ADBFC615FD02195EA33FDC71C71C71C7193FE5555555555554BCF366EC4220D9293FDC71C71C71C7193FE6AAAAAAAAAAA900000000000000003FE00E38E38E38E13FE5E4F2127E32033FC7775CD23AF3EF3FE00E38E38E38E13FE3A141B9E9364E3FD6AAAAAAAAAAA33FE00E38E38E38E13FE0071ADDEF75083FE0071ADDEF75023FE00E38E38E38E13FD6AAAAAAAAAAB43FE3A141B9E936493FE00E38E38E38E13FC7775CD23AF4163FE5E4F2127E32003FE00E38E38E38E13CD49D5B0642E6BC3FE6AAAAAAAAAAA93FE00E38E38E38E1BFC7775CD23AF3C63FE5E4F2127E32053FE00E38E38E38E1BFD6AAAAAAAAAA923FE3A141B9E936533FE00E38E38E38E1BFE0071ADDEF74FB3FE0071ADDEF75103FE00E38E38E38E1BFE3A141B9E936453FD6AAAAAAAAAAC53FE00E38E38E38E1BFE5E4F2127E31FE3FC7775CD23AF43D3FE00E38E38E38E1BFE6AAAAAAAAAAA93CE49D5B0642E6BC3FE00E38E38E38E1BFE5E4F2127E3208BFC7775CD23AF39F3FE00E38E38E38E1BFE3A141B9E93659BFD6AAAAAAAAAA7F3FE00E38E38E38E1BFE0071ADDEF7518BFE0071ADDEF74F23FE00E38E38E38E1BFD6AAAAAAAAAAD6BFE3A141B9E936403FE00E38E38E38E1BFC7775CD23AF45FBFE5E4F2127E31FC3FE00E38E38E38E1BCED815DDEB9AF6FBFE6AAAAAAAAAAA93FE00E38E38E38E13FC7775CD23AF37DBFE5E4F2127E320A3FE00E38E38E38E13FD6AAAAAAAAAA6FBFE3A141B9E9365D3FE00E38E38E38E13FE0071ADDEF74ECBFE0071ADDEF751E3FE00E38E38E38E13FE3A141B9E9363ABFD6AAAAAAAAAAE93FE00E38E38E38E13FE5E4F2127E31F8BFC7775CD23AF48D3FE00E38E38E38E13FE6AAAAAAAAAAA9BCF49D5B0642E6BC3FE00E38E38E38E13FE7FFFFFFFFFFFE00000000000000003FE1FFFFFFFFFFFD3FE72EA5F5768F4E3FC8D8BCA25C89D03FE1FFFFFFFFFFFD3FE4C8DC2E4239803FD7FFFFFFFFFFF83FE1FFFFFFFFFFFD3FE0F876CCDF6CDB3FE0F876CCDF6CD53FE1FFFFFFFFFFFD3FD800000000000A3FE4C8DC2E42397B3FE1FFFFFFFFFFFD3FC8D8BCA25C89F83FE72EA5F5768F4C3FE1FFFFFFFFFFFD3CD5D3C9CA64F44E3FE7FFFFFFFFFFFE3FE1FFFFFFFFFFFDBFC8D8BCA25C89A43FE72EA5F5768F513FE1FFFFFFFFFFFDBFD7FFFFFFFFFFE63FE4C8DC2E4239853FE1FFFFFFFFFFFDBFE0F876CCDF6CCD3FE0F876CCDF6CE43FE1FFFFFFFFFFFDBFE4C8DC2E4239763FD800000000001C3FE1FFFFFFFFFFFDBFE72EA5F5768F493FC8D8BCA25C8A223FE1FFFFFFFFFFFDBFE7FFFFFFFFFFFE3CE5D3C9CA64F44E3FE1FFFFFFFFFFFDBFE72EA5F5768F54BFC8D8BCA25C897A3FE1FFFFFFFFFFFDBFE4C8DC2E42398BBFD7FFFFFFFFFFD13FE1FFFFFFFFFFFDBFE0F876CCDF6CECBFE0F876CCDF6CC43FE1FFFFFFFFFFFDBFD800000000002EBFE4C8DC2E4239703FE1FFFFFFFFFFFDBFC8D8BCA25C8A46BFE72EA5F5768F463FE1FFFFFFFFFFFDBCEF3DAEAF976E75BFE7FFFFFFFFFFFE3FE1FFFFFFFFFFFD3FC8D8BCA25C8956BFE72EA5F5768F563FE1FFFFFFFFFFFD3FD7FFFFFFFFFFC1BFE4C8DC2E4239903FE1FFFFFFFFFFFD3FE0F876CCDF6CBDBFE0F876CCDF6CF33FE1FFFFFFFFFFFD3FE4C8DC2E42396ABFD80000000000413FE1FFFFFFFFFFFD3FE72EA5F5768F43BFC8D8BCA25C8A763FE1FFFFFFFFFFFD3FE7FFFFFFFFFFFEBCF5D3C9CA64F44E3FE1FFFFFFFFFFFD3FE955555555555300000000000000003FE40E38E38E38E03FE87859D86EEC993FCA3A1C727E1FB13FE40E38E38E38E03FE5F076A29B3CB23FD955555555554D3FE40E38E38E38E03FE1E9D2BBCF64AE3FE1E9D2BBCF64A73FE40E38E38E38E03FD95555555555603FE5F076A29B3CAC3FE40E38E38E38E03FCA3A1C727E1FDB3FE87859D86EEC973FE40E38E38E38E03CD70A388E8701E13FE95555555555533FE40E38E38E38E0BFCA3A1C727E1F833FE87859D86EEC9C3FE40E38E38E38E0BFD955555555553A3FE5F076A29B3CB73FE40E38E38E38E0BFE1E9D2BBCF649F3FE1E9D2BBCF64B73FE40E38E38E38E0BFE5F076A29B3CA73FD95555555555733FE40E38E38E38E0BFE87859D86EEC933FCA3A1C727E20083FE40E38E38E38E0BFE95555555555533CE70A388E8701E13FE40E38E38E38E0BFE87859D86EEC9FBFCA3A1C727E1F563FE40E38E38E38E0BFE5F076A29B3CBDBFD95555555555243FE40E38E38E38E0BFE1E9D2BBCF64C0BFE1E9D2BBCF64963FE40E38E38E38E0BFD9555555555586BFE5F076A29B3CA13FE40E38E38E38E0BFCA3A1C727E202EBFE87859D86EEC913FE40E38E38E38E0BCF07CFFC03A96BEBFE95555555555533FE40E38E38E38E03FCA3A1C727E1F30BFE87859D86EECA23FE40E38E38E38E03FD9555555555512BFE5F076A29B3CC23FE40E38E38E38E03FE1E9D2BBCF648FBFE1E9D2BBCF64C73FE40E38E38E38E03FE5F076A29B3C9BBFD955555555559A3FE40E38E38E38E03FE87859D86EEC8DBFCA3A1C727E20603FE40E38E38E38E03FE9555555555553BCF70A388E8701E13FE40E38E38E38E03FEAAAAAAAAAAAA800000000000000003FE638E38E38E38A3FE9C20DBB6749E43FCB9B7C429FB5913FE638E38E38E38A3FE7181116F43FE33FDAAAAAAAAAAAA13FE638E38E38E38A3FE2DB2EAABF5C823FE2DB2EAABF5C7A3FE638E38E38E38A3FDAAAAAAAAAAAB53FE7181116F43FDD3FE638E38E38E38A3FCB9B7C429FB5BE3FE9C20DBB6749E23FE638E38E38E38A3CD840A752A90F733FEAAAAAAAAAAAA83FE638E38E38E38ABFCB9B7C429FB5613FE9C20DBB6749E83FE638E38E38E38ABFDAAAAAAAAAAA8D3FE7181116F43FE93FE638E38E38E38ABFE2DB2EAABF5C723FE2DB2EAABF5C8B3FE638E38E38E38ABFE7181116F43FD83FDAAAAAAAAAAAC93FE638E38E38E38ABFE9C20DBB6749DE3FCB9B7C429FB5ED3FE638E38E38E38ABFEAAAAAAAAAAAA83CE840A752A90F733FE638E38E38E38ABFE9C20DBB6749EBBFCB9B7C429FB5323FE638E38E38E38ABFE7181116F43FF0BFDAAAAAAAAAAA763FE638E38E38E38ABFE2DB2EAABF5C94BFE2DB2EAABF5C683FE638E38E38E38ABFDAAAAAAAAAAADDBFE7181116F43FD23FE638E38E38E38ABFCB9B7C429FB615BFE9C20DBB6749DC3FE638E38E38E38ABCF15B2828A97641BFEAAAAAAAAAAAA83FE638E38E38E38A3FCB9B7C429FB50ABFE9C20DBB6749ED3FE638E38E38E38A3FDAAAAAAAAAAA64BFE7181116F43FF53FE638E38E38E38A3FE2DB2EAABF5C60BFE2DB2EAABF5C9B3FE638E38E38E38A3FE7181116F43FCBBFDAAAAAAAAAAAF33FE638E38E38E38A3FE9C20DBB6749D8BFCB9B7C429FB64A3FE638E38E38E38A3FEAAAAAAAAAAAA8BCF840A752A90F733FE638E38E38E38A3FEBFFFFFFFFFFFD00000000000000003FE87FFFFFFFFFFB3FEB0BC19E5FA72F3FCCFCDC12C14B723FE87FFFFFFFFFFB3FE83FAB8B4D43153FDBFFFFFFFFFFF63FE87FFFFFFFFFFB3FE3CC8A99AF54553FE3CC8A99AF544D3FE87FFFFFFFFFFB3FDC00000000000B3FE83FAB8B4D430F3FE87FFFFFFFFFFB3FCCFCDC12C14BA13FEB0BC19E5FA72D3FE87FFFFFFFFFFB3CD9771616CB1D053FEBFFFFFFFFFFFD3FE87FFFFFFFFFFBBFCCFCDC12C14B3F3FEB0BC19E5FA7333FE87FFFFFFFFFFBBFDBFFFFFFFFFFE13FE83FAB8B4D431B3FE87FFFFFFFFFFBBFE3CC8A99AF54443FE3CC8A99AF545E3FE87FFFFFFFFFFBBFE83FAB8B4D43093FDC0000000000203FE87FFFFFFFFFFBBFEB0BC19E5FA7293FCCFCDC12C14BD23FE87FFFFFFFFFFBBFEBFFFFFFFFFFFD3CE9771616CB1D053FE87FFFFFFFFFFBBFEB0BC19E5FA736BFCCFCDC12C14B0E3FE87FFFFFFFFFFBBFE83FAB8B4D4322BFDBFFFFFFFFFFC93FE87FFFFFFFFFFBBFE3CC8A99AF5468BFE3CC8A99AF543A3FE87FFFFFFFFFFBBFDC000000000035BFE83FAB8B4D43023FE87FFFFFFFFFFBBFCCFCDC12C14BFCBFEB0BC19E5FA7273FE87FFFFFFFFFFBBCF23950911855C4BFEBFFFFFFFFFFFD3FE87FFFFFFFFFFB3FCCFCDC12C14AE4BFEB0BC19E5FA7393FE87FFFFFFFFFFB3FDBFFFFFFFFFFB5BFE83FAB8B4D43273FE87FFFFFFFFFFB3FE3CC8A99AF5432BFE3CC8A99AF54703FE87FFFFFFFFFFB3FE83FAB8B4D42FBBFDC00000000004C3FE87FFFFFFFFFFB3FEB0BC19E5FA722BFCCFCDC12C14C343FE87FFFFFFFFFFB3FEBFFFFFFFFFFFDBCF9771616CB1D053FE87FFFFFFFFFFB3FED55555555555200000000000000003FEAE38E38E38E333FEC55758158047B3FCE5E3BE2E2E1533FEAE38E38E38E333FE96745FFA646463FDD55555555554B3FEAE38E38E38E333FE4BDE6889F4C283FE4BDE6889F4C203FEAE38E38E38E333FDD5555555555613FE96745FFA646403FEAE38E38E38E333FCE5E3BE2E2E1843FEC5575815804783FEAE38E38E38E333CDAAD84DAED2A983FED5555555555523FEAE38E38E38E33BFCE5E3BE2E2E11D3FEC55758158047E3FEAE38E38E38E33BFDD5555555555353FE96745FFA6464D3FEAE38E38E38E33BFE4BDE6889F4C163FE4BDE6889F4C323FEAE38E38E38E33BFE96745FFA6463A3FDD5555555555773FEAE38E38E38E33BFEC5575815804743FCE5E3BE2E2E1B73FEAE38E38E38E33BFED5555555555523CEAAD84DAED2A983FEAE38E38E38E33BFEC557581580482BFCE5E3BE2E2E0EA3FEAE38E38E38E33BFE96745FFA64654BFDD55555555551B3FEAE38E38E38E33BFE4BDE6889F4C3CBFE4BDE6889F4C0B3FEAE38E38E38E33BFDD55555555558DBFE96745FFA646333FEAE38E38E38E33BFCE5E3BE2E2E1E3BFEC5575815804723FEAE38E38E38E33BCF31778F9873547BFED5555555555523FEAE38E38E38E333FCE5E3BE2E2E0BEBFEC5575815804853FEAE38E38E38E333FDD555555555507BFE96745FFA6465A3FEAE38E38E38E333FE4BDE6889F4C03BFE4BDE6889F4C443FEAE38E38E38E333FE96745FFA6462CBFDD5555555555A43FEAE38E38E38E333FEC55758158046DBFCE5E3BE2E2E21E3FEAE38E38E38E333FED555555555552BCFAAD84DAED2A983FEAE38E38E38E333FEEAAAAAAAAAAA700000000000000003FED638E38E38E323FED9F29645061C63FCFBF9BB30477333FED638E38E38E323FEA8EE073FF49783FDEAAAAAAAAAA9F3FED638E38E38E323FE5AF42778F43FB3FE5AF42778F43F23FED638E38E38E323FDEAAAAAAAAAAB63FEA8EE073FF49713FED638E38E38E323FCFBF9BB30477673FED9F29645061C33FED638E38E38E323CDBE3F39F0F382A3FEEAAAAAAAAAAA73FED638E38E38E32BFCFBF9BB30476FC3FED9F29645061CA3FED638E38E38E32BFDEAAAAAAAAAA883FEA8EE073FF497F3FED638E38E38E32BFE5AF42778F43E93FE5AF42778F44063FED638E38E38E32BFEA8EE073FF496B3FDEAAAAAAAAAACD3FED638E38E38E32BFED9F29645061BF3FCFBF9BB304779D3FED638E38E38E32BFEEAAAAAAAAAAA73CEBE3F39F0F382A3FED638E38E38E32BFED9F29645061CEBFCFBF9BB30476C63FED638E38E38E32BFEA8EE073FF4986BFDEAAAAAAAAAA6E3FED638E38E38E32BFE5AF42778F4410BFE5AF42778F43DD3FED638E38E38E32BFDEAAAAAAAAAAE4BFEA8EE073FF49643FED638E38E38E32BFCFBF9BB30477CBBFED9F29645061BC3FED638E38E38E32BCF3F5A161F614CABFEEAAAAAAAAAAA73FED638E38E38E323FCFBF9BB3047698BFED9F29645061D03FED638E38E38E323FDEAAAAAAAAAA58BFEA8EE073FF498C3FED638E38E38E323FE5AF42778F43D5BFE5AF42778F44193FED638E38E38E323FEA8EE073FF495CBFDEAAAAAAAAAAFD3FED638E38E38E323FED9F29645061B8BFCFBF9BB30478083FED638E38E38E323FEEAAAAAAAAAAA7BCFBE3F39F0F382A3FED638E38E38E323FEFFFFFFFFFFFFC00000000000000003FEFFFFFFFFFFFF83FEEE8DD4748BF113FD0907DC193068A3FEFFFFFFFFFFFF83FEBB67AE8584CAA3FDFFFFFFFFFFFF43FEFFFFFFFFFFFF83FE6A09E667F3BCE3FE6A09E667F3BC53FEFFFFFFFFFFFF83FE00000000000063FEBB67AE8584CA33FEFFFFFFFFFFFF83FD0907DC19306A53FEEE8DD4748BF0E3FEFFFFFFFFFFFF83CDD1A62633145BC3FEFFFFFFFFFFFFC3FEFFFFFFFFFFFF8BFD0907DC193066D3FEEE8DD4748BF153FEFFFFFFFFFFFF8BFDFFFFFFFFFFFDC3FEBB67AE8584CB13FEFFFFFFFFFFFF8BFE6A09E667F3BBB3FE6A09E667F3BD93FEFFFFFFFFFFFF8BFEBB67AE8584C9C3FE00000000000123FEFFFFFFFFFFFF8BFEEE8DD4748BF0A3FD0907DC19306C13FEFFFFFFFFFFFF8BFEFFFFFFFFFFFFC3CED1A62633145BC3FEFFFFFFFFFFFF8BFEEE8DD4748BF19BFD0907DC19306513FEFFFFFFFFFFFF8BFEBB67AE8584CB9BFDFFFFFFFFFFFC03FEFFFFFFFFFFFF8BFE6A09E667F3BE4BFE6A09E667F3BAF3FEFFFFFFFFFFFF8BFE000000000001EBFEBB67AE8584C953FEFFFFFFFFFFFF8BFD0907DC19306D9BFEEE8DD4748BF073FEFFFFFFFFFFFF8BCF4D3C9CA64F44DBFEFFFFFFFFFFFFC3FEFFFFFFFFFFFF83FD0907DC1930639BFEEE8DD4748BF1C3FEFFFFFFFFFFFF83FDFFFFFFFFFFFAABFEBB67AE8584CBF3FEFFFFFFFFFFFF83FE6A09E667F3BA6BFE6A09E667F3BED3FEFFFFFFFFFFFF83FEBB67AE8584C8DBFE000000000002B3FEFFFFFFFFFFFF83FEEE8DD4748BF02BFD0907DC19306F93FEFFFFFFFFFFFF83FEFFFFFFFFFFFFCBCFD1A62633145BC3FEFFFFFFFFFFFF8-%'CURVESG6$7T7%$"""""!$""!""!$"""""!7%$"+Q,!z"**!#5$"+<;xy7!#5$"""""!7%$"+I'[Hn*!#5$"+SeaOD!#5$"""""!7%$"+tv;p#*!#5$"+\+n_P!#5$"""""!7%$"+Tq=8()!#5$"+@b<2\!#5$"""""!7%$"+=i89!)!#5$"+1`5")f!#5$"""""!7%$"++N\$=(!#5$"+2b#o&p!#5$"""""!7%$"+<!)*[B'!#5$"+E[J=y!#5$"""""!7%$"+!oDR=&!#5$"+KwU^&)!#5$"""""!7%$"+CM$y/%!#5$"+Li7W"*!#5$"""""!7%$"+aeFXG!#5$"+M&yme*!#5$"""""!7%$"+M*)*ff"!#5$"+Py"=()*!#5$"""""!7%$"+Zv:0K!#6$"+j@'[***!#5$"""""!7%$!+UGI-'*!#6$"+F6z`**!#5$"""""!7%$!+o$4_A#!#5$"+:"z#\(*!#5$"""""!7%$!+w0l`M!#5$"+4Uo%Q*!#5$"""""!7%$!+OHQDY!#5$"+YI*f'))!#5$"""""!7%$!+Om;@d!#5$"+ADs,#)!#5$"""""!7%$!+P*3Is'!#5$"+S*zFS(!#5$"""""!7%$!+<'fWh(!#5$"+9RG#['!#5$"""""!7%$!+z5)3Q)!#5$"+m*[`X&!#5$"""""!7%$!+0()o4!*!#5$"+Qt$)QV!#5$"""""!7%$!+!\d0\*!#5$"+?@3^J!#5$"""""!7%$!+$e"f:)*!#5$"+@ie6>!#5$"""""!7%$!+KRXz**!#5$"+!G@qS'!#6$"""""!7%$!+BRXz**!#5$!+fF-2k!#6$"""""!7%$!+b:f:)*!#5$!+mje6>!#5$"""""!7%$!+Vub!\*!#5$!+hA3^J!#5$"""""!7%$!+S')o4!*!#5$!+ru$)QV!#5$"""""!7%$!+)*4)3Q)!#5$!+!4\`X&!#5$"""""!7%$!+@&fWh(!#5$!+FSG#['!#5$"""""!7%$!+F)3Is'!#5$!+R+y-u!#5$"""""!7%$!+9l;@d!#5$!+2Es,#)!#5$"""""!7%$!+0GQDY!#5$!+:J*f'))!#5$"""""!7%$!+P/l`M!#5$!+gUo%Q*!#5$"""""!7%$!+C#4_A#!#5$!+["z#\(*!#5$"""""!7%$!+n8I-'*!#6$!+T6z`**!#5$"""""!7%$"+H!f^?$!#6$!+e@'[***!#5$"""""!7%$"+!3**ff"!#5$!+8y"=()*!#5$"""""!7%$"+'*fFXG!#5$!+#\yme*!#5$"""""!7%$"+fN$y/%!#5$!+uh7W"*!#5$"""""!7%$"+1e#R=&!#5$!+bvU^&)!#5$"""""!7%$"+N")*[B'!#5$!+KZJ=y!#5$"""""!7%$"+2O\$=(!#5$!+'RDo&p!#5$"""""!7%$"+8j89!)!#5$!+z^5")f!#5$"""""!7%$"+?r=8()!#5$!+!Qvr!\!#5$"""""!7%$"+Ow;p#*!#5$!+&*)pEv$!#5$"""""!7%$"+t'[Hn*!#5$!+vcaOD!#5$"""""!7%$"+g,!z"**!#5$!+W9xy7!#5$"""""!7%$"+++++5!"*$"+M8/#y"!#<$"""""!-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%,ORIENTATIONG6$$!$q%!""$"1-++++++j!#9

The next step is to get the normal to the surface. The tangent vectors are just the derivatives in the r and t directions and the normal is their cross product. tanr := map(diff,G,r): tant := map(diff,G,t): NN :=CrossProduct(tanr,tant);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpJTMlKio9

The tangent to the curve C is T:=<cos(s),sin(s),1>;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpQ1QqKj0=

To find the integrand for the line integral we need the dot product of the vector field evaluated on C with T LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnFonC := <eval(F[1],{x=cos(s),y=sin(s),z=1}),eval(F[2],{x=cos(s),y=sin(s),z=1}),eval(F[3],{x=cos(s),y=sin(s),z=1})>; Integrand := DotProduct(FonC,T); int(Integrand,s=0..2*Pi);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpL1UqKj0=

LCoqJiwmLUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiNJInNHRioiIiIhIiJGLUYtLUkkY29zR0YnRitGLUYtKiYsJkYtRi0qJEYvIiIjRi5GLUYlRi1GLUYvRi0qJEYlRjRGLg==

LCRJI1BpRyUqcHJvdGVjdGVkRyEiIg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn The curl of F is curlF := Curl(F);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpN3Y4PQ==

Hence the integrand for the surface integral that we want is given by the curl of F evaluated on the surface curlFonG := <eval(curlF[1],{x=G[1],y=G[2],z=G[3]}),eval(curlF[2],{x=G[1],y=G[2],z=G[3]}),eval(curlF[3],{x=G[1],y=G[2],z=G[3]})>; SurfIntegrand := DotProduct(curlFonG,NN); int(int(SurfIntegrand,r=0..1),t=0..2*Pi) ;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpT15EPw==

LCgqKCwmKiZJInJHNiIiIiItSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRic2I0kidEdGJ0YoISIjISIiRihGKEYmIiIjLUkkY29zR0YrRi5GKEYwKigsJiokRiZGMkYwRjFGKEYoRiZGMkYpRihGMComLCYqJkYmRihGM0YoRjBGMUYoRigsJiomRjNGMkYmRihGKComRilGMkYmRihGKEYoRig=

LCRJI1BpRyUqcHJvdGVjdGVkRyEiIg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn And so the integrals agree. _

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn