Homework assignment 1 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2OVEhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdRJmZhbHNlRicvJSdpdGFsaWNHUSV0cnVlRicvJSp1bmRlcmxpbmVHRjcvJSpzdWJzY3JpcHRHRjcvJSxzdXBlcnNjcmlwdEdGNy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0Y3LyUrZXhlY3V0YWJsZUdGNy8lKXJlYWRvbmx5R0Y3LyUpY29tcG9zZWRHRjcvJSpjb252ZXJ0ZWRHRjcvJStpbXNlbGVjdGVkR0Y3LyUscGxhY2Vob2xkZXJHRjcvJTBmb250X3N0eWxlX25hbWVHUSgyRH5NYXRoRicvJSptYXRoY29sb3JHRkMvJS9tYXRoYmFja2dyb3VuZEdGRi8lK2ZvbnRmYW1pbHlHRjEvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUpbWF0aHNpemVHRjQ= At the end of Monday's session there were a couple of requests for coded examples. This is a first attempt at filling those requests. restart: with(LinearAlgebra): with(plots): with(plottools):

Warning, the name changecoords has been redefined

Warning, the assigned name arrow now has a global binding

eq10 := 2*x + 3*y + z = 2; eq11 := 2*x + 4*y + 7*z =6; eq12 := 3*x + 10*y + 5*z = 7; solve({eq10,eq11,eq12});

NiQtSSVtcm93RzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YoNiUtSSNtaUdGJTY5USVlcTEwRigvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GKC8lJXNpemVHUSMxMkYoLyUlYm9sZEdRJmZhbHNlRigvJSdpdGFsaWNHUSV0cnVlRigvJSp1bmRlcmxpbmVHRjgvJSpzdWJzY3JpcHRHRjgvJSxzdXBlcnNjcmlwdEdGOC8lK2ZvcmVncm91bmRHUSpbMCwwLDI1NV1GKC8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRigvJSdvcGFxdWVHRjgvJStleGVjdXRhYmxlR0Y4LyUpcmVhZG9ubHlHRjsvJSljb21wb3NlZEdGOC8lKmNvbnZlcnRlZEdGOC8lK2ltc2VsZWN0ZWRHRjgvJSxwbGFjZWhvbGRlckdGOC8lMGZvbnRfc3R5bGVfbmFtZUdRKjJEfk91dHB1dEYoLyUqbWF0aGNvbG9yR0ZELyUvbWF0aGJhY2tncm91bmRHRkcvJStmb250ZmFtaWx5R0YyLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGKC8lKW1hdGhzaXplR0Y1LUkjbW9HRiU2M1EjOj1GKC8lJWZvcm1HUSZpbmZpeEYoLyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHRjgvJSdsc3BhY2VHUS90aGlja21hdGhzcGFjZUYoLyUncnNwYWNlR0ZbcC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobWF4c2l6ZUdRKWluZmluaXR5RigvJShtaW5zaXplR1EiMUYoLyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJTBmb250X3N0eWxlX25hbWVHRlgvJSVzaXplR0Y1LyUrZm9yZWdyb3VuZEdGRC8lK2JhY2tncm91bmRHRkctRiQ2JS1GJDYnLUYkNiUtSSNtbkdGJTY5USIyRihGMEYzRjYvRjpGOEY8Rj5GQEZCRkVGSEZKRkxGTkZQRlJGVEZWRllGZW5GZ24vRmpuUSdub3JtYWxGKEZcby1GX282M1ExJkludmlzaWJsZVRpbWVzO0YoRmJvRmVvRmdvL0Zqb1EkMGVtRigvRl1wRmdyRl5wRmBwRmJwRmVwRmhwRmpwRlxxRl5xRmBxRmJxRmRxLUYtNjlRInhGKEYwRjNGNkY5RjxGPkZARkJGRUZIRkpGTEZORlBGUkZURlZGWUZlbkZnbkZpbkZcby1GX282M1EiK0YoRmJvRmVvRmdvL0Zqb1EwbWVkaXVtbWF0aHNwYWNlRigvRl1wRmBzRl5wRmBwRmJwRmVwRmhwRmpwRlxxRl5xRmBxRmJxRmRxLUYkNiUtRl1yNjlRIjNGKEYwRjNGNkZgckY8Rj5GQEZCRkVGSEZKRkxGTkZQRlJGVEZWRllGZW5GZ25GYXJGXG9GY3ItRi02OVEieUYoRjBGM0Y2RjlGPEY+RkBGQkZFRkhGSkZMRk5GUEZSRlRGVkZZRmVuRmduRmluRlxvRlxzLUYtNjlRInpGKEYwRjNGNkY5RjxGPkZARkJGRUZIRkpGTEZORlBGUkZURlZGWUZlbkZnbkZpbkZcby1GX282M1EiPUYoRmJvRmVvRmdvRmlvRlxwRl5wRmBwRmJwRmVwRmhwRmpwRlxxRl5xRmBxRmJxRmRxRlxyNyMtX0YpSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVlcTEwR0YoLywoKiYiIiMiIiJJInhHRihGXHVGXHUqJiIiJEZcdUkieUdGKEZcdUZcdUkiekdGKEZcdUZbdTcjRmh0

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 There was a request to be able to draw the line of intersection of two planes.If we are plotting in 3D a plane is a surface given as a function of two variables in one equation. The line of intersection is a space curve and is generally done in parametric form. The first trick is to turn a pair of palnes into a parameterized space curve with an identified parameter. Giving an ordered list of variables puts the equations of the solution line in standard order. sol := solve([eq10,eq11]); sol := solve([eq10,eq11],[x,y,z]);

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

sol[1,1]; rhs(sol[1,1]);

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

Next we need to identify which variable is the free variable and also relace each equation of the solution with its right hand side. 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 solToCurve := proc(sol) local i, curve1, temp: curve1 := [seq(sol[1,i], i=1..3)]: for i from 1 to 3 do: if rhs(curve1[i])=lhs(curve1[i]) then temp := rhs(curve1[i]): end if: end do: curve1 := map(x->rhs(x),curve1); [curve1, temp]; end proc: sol2 := solToCurve(sol);

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

Next we want to modify the showplanes command to add in a line of intersection. colors :=[red, green, blue, yellow, cyan, wheat, violet, gray]: showplanes := (eqnlist,xrange,yrange,zrange) -> display( {seq(plot3d(solve(op(i,eqnlist),z), x=xrange, y=yrange, color=colors[i]), i=1..nops(eqnlist))},view=zrange,axes=boxed): colors :=[red, green, blue, yellow, cyan, wheat, violet, gray]: showplanes2 := proc(eqnlist,xrange,yrange,zrange) local A, sol2: sol2 := solToCurve(solve([eqnlist[1],eqnlist[2]],[x,y,z])); A:= spacecurve(sol2[1],sol2[2]=-5..5, color=blue, thickness=2): display( {A,seq(plot3d(solve(op(i,eqnlist),z), x=xrange, y=yrange, color=colors[i]), i=1..nops(eqnlist))}, view=[xrange, yrange, zrange],axes=boxed): end proc: showplanes2({eq10, eq11},-5..5,-5..5,-5..5);

6(-I'CURVESG6$%*protectedGI(_syslibG6"6%7T7%$"++++]x!"*$!"&""!$"+++++:F.7%$"+`V)3Y(F.$!+n$=fz%F.$"+&R')fY"F.7%$"+2(o<<(F.$!+Mn$=f%F.$"+*ys>V"F.7%$"+gIl#)oF.$!+,^v(Q%F.$"+$=fzR"F.7%$"+8u`$f'F.$!+oMn$=%F.$"+yb%RO"F.7%$"+m<U/jF.$!+N=fzRF.$"+s>$*H8F.7%$"+>hI:gF.$!+--^vPF.$"+n$=fH"F.7%$"+t/>EdF.$!+p&G9d$F.$"+hZ!>E"F.7%$"+E[2PaF.$!+OpMnLF.$"+c6*yA"F.7%$"+z"fz9&F.$!+.`EjJF.$"+]v(Q>"F.7%$"+KN%)e[F.$!+qO=fHF.$"+XR')f6F.7%$"+')yspXF.$!+P?5bFF.$"+R.&e7"F.7%$"+RAh!G%F.$!+//-^DF.$"+Mn$=4"F.7%$"+#f'\"*RF.$!+r(QpM#F.$"+GJ#y0"F.7%$"+Y4Q-PF.$!+Qr&G9#F.$"+B&4Q-"F.7%$"+*HlKT$F.$!+0bxQ>F.$"+v"fz*)*!#57%$"+_'\T7$F.$!+sQpM<F.$"+?J#yb*Fgr7%$"+0S.NGF.$!+RAhI:F.$"+lqo<#*Fgr7%$"+e$=fa#F.$!+11`E8F.$"+55bx))Fgr7%$"+7F!oD#F.$!+t*[C7"F.$"+b\TP&)Fgr7%$"+lqon>F.$!+.Mn$=*Fgr$"++*ys>)Fgr7%$"+>9dy;F.$!+wq&G9(Fgr$"+YG9dyFgr7%$"+tdX*Q"F.$!+\2/-^Fgr$"+"z1q^(Fgr7%$"+E,M+6F.$!+AWAhIFgr$"+P2(o<(Fgr7%$"+,[C7")Fgr$!+&43/-"Fgr$"+#oMn$oFgr7%$"+Q$)3@_Fgr$"+K#3/-"Fgr$"+G')f'\'Fgr7%$"+v=$*HBFgr$"+fXAhIFgr$"+uDYchFgr7%$!+&)eC7c!#6$"+')3/-^Fgr$"+>lK;eFgr7%$!+_5Q_MFgr$"+8s&G9(Fgr$"+k/>waFgr7%$!+:v`VjFgr$"+SNn$=*Fgr$"+5W0O^Fgr7%$!+$)RpM#*Fgr$"+()*[C7"F.$"+b$=fz%Fgr7%$!+X]e77F.$"+?1`E8F.$"++BybWFgr7%$!+#p+<]"F.$"+`AhI:F.$"+Xik:TFgr7%$!+Rj"3z"F.$"+')QpM<F.$"+!>5bx$Fgr7%$!+&)>$*z?F.$"+>bxQ>F.$"+NTPNMFgr7%$!+Kw/pBF.$"+_r&G9#F.$"+!3Q_4$Fgr7%$!+zK;eEF.$"+&yQpM#F.$"+D?5bFFgr7%$!+E*ys%HF.$"+=/-^DF.$"+qf'\T#Fgr7%$!+sXROKF.$"+^?5bFF.$"+:*H[2#Fgr7%$!+>-^DNF.$"+%o$=fHF.$"+gQpM<Fgr7%$!+mei9QF.$"+<`EjJF.$"+0yb%R"Fgr7%$!+8:u.TF.$"+]pMnLF.$"+]<Ua5Fgr7%$!+fr&GR%F.$"+$eG9d$F.$"+]p&G9(Fhw7%$!+1G(>o%F.$"+;-^vPF.$"++k\TPFhw7%$!+`%)3r\F.$"+\=fzRF.$"++&e8S$!#77%$!++T?g_F.$"+#[tO=%F.$!++ZAhIFhw7%$!+Y(>$\bF.$"+:^v(Q%F.$!+]_eikFhw7%$!+$RN%QeF.$"+[n$=f%F.$!++e%R')*Fhw7%$!+S5bFhF.$"+"Q=fz%F.$!+N1`E8Fgr7%$!+(ommT'F.$"+9+++]F.$!+!pmmm"Fgr-I'COLOURGF%6&I$RGBGF($F1F1F\bl$"*++++"!")-I*THICKNESSGF%6#""#-I%GRIDGF%6&;F/$""&F1FgblX,F(F(I)anythingGF&[gl'!%"!!#\bm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blF]blF\blF\bl-Febl6&FgblFgblX,F(F(F[cl[gl'!%"!!#\bm":":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]cl6&F[blF\blF]blF\bl-I*AXESSTYLEGF%6#I$BOXGF%-I+AXESLABELSGF%6&I"xGF(I"yGF(Q!F(-I%FONTGF(6#I(DEFAULTGF%-I%VIEWGF%6%FgblFgblFgbl

showplanes2({eq10, eq12},-5..5,-5..5,-5..5);

6(-I%GRIDG6$%*protectedGI(_syslibG6"6&;$!"&""!$""&F-F*X,F(F(I)anythingGF&[gl'!%"!!#\bm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w!"*$!++++!3"F97%$!+n$=fz%FA$"+9dG9tFA$!+T?5N5F97%$!+Mn$=f%FA$"+G9dGqFA$!+:3/-**FA7%$!+,^v(Q%FA$"+Tr&Gu'FA$!+A71`%*FA7%$!+oMn$=%FA$"+bG9dkFA$!+I;3/!*FA7%$!+N=fzRFA$"+p&G9<'FA$!+P?5b&)FA7%$!+--^vPFA$"+$G9d)eFA$!+WC71")FA7%$!+p&G9d$FA$"+(******f&FA$!+_G9dwFA7%$!+OpMnLFA$"+5dG9`FA$!+fK;3sFA7%$!+.`EjJFA$"+C9dG]FA$!+nO=fnFA7%$!+qO=fHFA$"+Qr&Gu%FA$!+uS?5jFA7%$!+P?5bFFA$"+_G9dWFA$!+"[C7'eFA7%$!+//-^DFA$"+m&G9<%FA$!+*)[C7aFA7%$!+r(QpM#FA$"+zUr&)QFA$!+'HlK'\FA7%$!+Qr&G9#FA$"+$******f$FA$!+/dG9XFA7%$!+0bxQ>FA$"+2dG9LFA$!+6hIlSFA7%$!+sQpM<FA$"+@9dGIFA$!+=lK;OFA7%$!+RAhI:FA$"+Nr&Gu#FA$!+EpMnJFA7%$!+11`E8FA$"+[G9dCFA$!+LtO=FFA7%$!+t*[C7"FA$"+i&G9<#FA$!+TxQpAFA7%$!+.Mn$=*!#5$"+wUr&)=FA$!+\"3/#=FA7%$!+wq&G9(Ffu$"+"******f"FA$!+d&G9P"FA7%$!+\2/-^Ffu$"+0dG98FA$!+['*[C#*Ffu7%$!+AWAhIFfu$"+>9dG5FA$!+GPpMZFfu7%$!+&43/-"Ffu$"+L8dGuFfu$!+!4y*[C!#67%$"+K#3/-"Ffu$"+v%G9d%Ffu$"+5")*[C%Ffu7%$"+fXAhIFfu$"+<cG9<Ffu$"+ISpM()Ffu7%$"+')3/-^Ffu$!+Ss&G9"Ffu$"+&**[CK"FA7%$"+8s&G9(Ffu$!+)4+++%Ffu$"+(eG9x"FA7%$"+SNn$=*Ffu$!+cH9doFfu$"+z"3/A#FA7%$"+()*[C7"FA$!+=eG9(*Ffu$"+rxQpEFA7%$"+?1`E8FA$!+oG9d7FA$"+ktO=JFA7%$"+`AhI:FA$!+ar&Ga"FA$"+dpMnNFA7%$"+')QpM<FA$!+S9dG=FA$"+\lK;SFA7%$"+>bxQ>FA$!+FdG9@FA$"+UhIlWFA7%$"+_r&G9#FA$!+8+++CFA$"+MdG9\FA7%$"+&yQpM#FA$!+*H9do#FA$"+F`Ej`FA7%$"+=/-^DFA$!+&eG9(HFA$"+?\C7eFA7%$"+^?5bFFA$!+rG9dKFA$"+7XAhiFA7%$"+%o$=fHFA$!+er&Ga$FA$"+0T?5nFA7%$"+<`EjJFA$!+W9dGQFA$"+(p$=frFA7%$"+]pMnLFA$!+IdG9TFA$"+!Hj"3wFA7%$"+$eG9d$FA$!+;+++WFA$"+$)G9d!)FA7%$"+;-^vPFA$!+-Vr&o%FA$"+vC71&)FA7%$"+\=fzRFA$!+*eG9(\FA$"+o?5b*)FA7%$"+#[tO=%FA$!+vG9d_FA$"+g;3/%*FA7%$"+:^v(Q%FA$!+hr&Ga&FA$"+`71`)*FA7%$"+[n$=f%FA$!+Z9dGeFA$"+&3/-."F97%$"+"Q=fz%FA$!+LdG9hFA$"+W?5v5F97%$"+9+++]FA$!+?+++kFA$"+.++?6F9-I'COLOURGF%6&F5F6F6F7-I*THICKNESSGF%6#""#-F$6&F*F*X,F(F(F1[gl'!%"!!#\bm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xGF(I"yGF(Q!F(-I%FONTGF(6#I(DEFAULTGF%-I%VIEWGF%6%F*F*F*

A slight modification allows this same thing to be done for three planes. showplanes3 := proc(eqnlist,xrange,yrange,zrange) local A, sol2: sol2 := solToCurve(solve([eqnlist[1],eqnlist[2]],[x,y,z])); A[1]:= spacecurve(sol2[1],sol2[2]=-5..5, color=blue, thickness=3): sol2 := solToCurve(solve([eqnlist[1],eqnlist[3]],[x,y,z])); A[2]:= spacecurve(sol2[1],sol2[2]=-5..5, color=green, thickness=3): sol2 := solToCurve(solve([eqnlist[3],eqnlist[2]],[x,y,z])); A[3]:= spacecurve(sol2[1],sol2[2]=-5..5, color=red, thickness=3): display( {A[1],A[2],A[3],seq(plot3d(solve(op(i,eqnlist),z), x=xrange, y=yrange, color=colors[i]), i=1..nops(eqnlist))}, view=[xrange, yrange, zrange],axes=boxed): end proc: showplanes3({eq10, eq11,eq12},-5..5,-5..5,-5..5);

6+-I'CURVESG6$%*protectedGI(_syslibG6"6%7T7%$"++++]x!"*$!"&""!$"+++++:F.7%$"+`V)3Y(F.$!+n$=fz%F.$"+&R')fY"F.7%$"+2(o<<(F.$!+Mn$=f%F.$"+*ys>V"F.7%$"+gIl#)oF.$!+,^v(Q%F.$"+$=fzR"F.7%$"+8u`$f'F.$!+oMn$=%F.$"+yb%RO"F.7%$"+m<U/jF.$!+N=fzRF.$"+s>$*H8F.7%$"+>hI:gF.$!+--^vPF.$"+n$=fH"F.7%$"+t/>EdF.$!+p&G9d$F.$"+hZ!>E"F.7%$"+E[2PaF.$!+OpMnLF.$"+c6*yA"F.7%$"+z"fz9&F.$!+.`EjJF.$"+]v(Q>"F.7%$"+KN%)e[F.$!+qO=fHF.$"+XR')f6F.7%$"+')yspXF.$!+P?5bFF.$"+R.&e7"F.7%$"+RAh!G%F.$!+//-^DF.$"+Mn$=4"F.7%$"+#f'\"*RF.$!+r(QpM#F.$"+GJ#y0"F.7%$"+Y4Q-PF.$!+Qr&G9#F.$"+B&4Q-"F.7%$"+*HlKT$F.$!+0bxQ>F.$"+v"fz*)*!#57%$"+_'\T7$F.$!+sQpM<F.$"+?J#yb*Fgr7%$"+0S.NGF.$!+RAhI:F.$"+lqo<#*Fgr7%$"+e$=fa#F.$!+11`E8F.$"+55bx))Fgr7%$"+7F!oD#F.$!+t*[C7"F.$"+b\TP&)Fgr7%$"+lqon>F.$!+.Mn$=*Fgr$"++*ys>)Fgr7%$"+>9dy;F.$!+wq&G9(Fgr$"+YG9dyFgr7%$"+tdX*Q"F.$!+\2/-^Fgr$"+"z1q^(Fgr7%$"+E,M+6F.$!+AWAhIFgr$"+P2(o<(Fgr7%$"+,[C7")Fgr$!+&43/-"Fgr$"+#oMn$oFgr7%$"+Q$)3@_Fgr$"+K#3/-"Fgr$"+G')f'\'Fgr7%$"+v=$*HBFgr$"+fXAhIFgr$"+uDYchFgr7%$!+&)eC7c!#6$"+')3/-^Fgr$"+>lK;eFgr7%$!+_5Q_MFgr$"+8s&G9(Fgr$"+k/>waFgr7%$!+:v`VjFgr$"+SNn$=*Fgr$"+5W0O^Fgr7%$!+$)RpM#*Fgr$"+()*[C7"F.$"+b$=fz%Fgr7%$!+X]e77F.$"+?1`E8F.$"++BybWFgr7%$!+#p+<]"F.$"+`AhI:F.$"+Xik:TFgr7%$!+Rj"3z"F.$"+')QpM<F.$"+!>5bx$Fgr7%$!+&)>$*z?F.$"+>bxQ>F.$"+NTPNMFgr7%$!+Kw/pBF.$"+_r&G9#F.$"+!3Q_4$Fgr7%$!+zK;eEF.$"+&yQpM#F.$"+D?5bFFgr7%$!+E*ys%HF.$"+=/-^DF.$"+qf'\T#Fgr7%$!+sXROKF.$"+^?5bFF.$"+:*H[2#Fgr7%$!+>-^DNF.$"+%o$=fHF.$"+gQpM<Fgr7%$!+mei9QF.$"+<`EjJF.$"+0yb%R"Fgr7%$!+8:u.TF.$"+]pMnLF.$"+]<Ua5Fgr7%$!+fr&GR%F.$"+$eG9d$F.$"+]p&G9(Fhw7%$!+1G(>o%F.$"+;-^vPF.$"++k\TPFhw7%$!+`%)3r\F.$"+\=fzRF.$"++&e8S$!#77%$!++T?g_F.$"+#[tO=%F.$!++ZAhIFhw7%$!+Y(>$\bF.$"+:^v(Q%F.$!+]_eikFhw7%$!+$RN%QeF.$"+[n$=f%F.$!++e%R')*Fhw7%$!+S5bFhF.$"+"Q=fz%F.$!+N1`E8Fgr7%$!+(ommT'F.$"+9+++]F.$!+!pmmm"Fgr-I'COLOURGF%6&I$RGBGF($F1F1F\bl$"*++++"!")-I*THICKNESSGF%6#""$-F$6%7T7%F/$"+++++wF.$!++++!3"F_bl7%F7$"+9dG9tF.$!+T?5N5F_bl7%F>$"+G9dGqF.$!+:3/-**F.7%FE$"+Tr&Gu'F.$!+A71`%*F.7%FL$"+bG9dkF.$!+I;3/!*F.7%FS$"+p&G9<'F.$!+P?5b&)F.7%FZ$"+$G9d)eF.$!+WC71")F.7%F[o$"+(******f&F.$!+_G9dwF.7%Fbo$"+5dG9`F.$!+fK;3sF.7%Fio$"+C9dG]F.$!+nO=fnF.7%F`p$"+Qr&Gu%F.$!+uS?5jF.7%Fgp$"+_G9dWF.$!+"[C7'eF.7%F^q$"+m&G9<%F.$!+*)[C7aF.7%Feq$"+zUr&)QF.$!+'HlK'\F.7%F\r$"+$******f$F.$!+/dG9XF.7%Fcr$"+2dG9LF.$!+6hIlSF.7%F[s$"+@9dGIF.$!+=lK;OF.7%Fbs$"+Nr&Gu#F.$!+EpMnJF.7%Fis$"+[G9dCF.$!+LtO=FF.7%F`t$"+i&G9<#F.$!+TxQpAF.7%Fgt$"+wUr&)=F.$!+\"3/#=F.7%F^u$"+"******f"F.$!+d&G9P"F.7%Feu$"+0dG98F.$!+['*[C#*Fgr7%F\v$"+>9dG5F.$!+GPpMZFgr7%Fcv$"+L8dGuFgr$!+!4y*[CFhw7%Fjv$"+v%G9d%Fgr$"+5")*[C%Fgr7%Faw$"+<cG9<Fgr$"+ISpM()Fgr7%Fiw$!+Ss&G9"Fgr$"+&**[CK"F.7%F`x$!+)4+++%Fgr$"+(eG9x"F.7%Fgx$!+cH9doFgr$"+z"3/A#F.7%F^y$!+=eG9(*Fgr$"+rxQpEF.7%Fey$!+oG9d7F.$"+ktO=JF.7%F\z$!+ar&Ga"F.$"+dpMnNF.7%Fcz$!+S9dG=F.$"+\lK;SF.7%Fjz$!+FdG9@F.$"+UhIlWF.7%Fa[l$!+8+++CF.$"+MdG9\F.7%Fh[l$!+*H9do#F.$"+F`Ej`F.7%F_\l$!+&eG9(HF.$"+?\C7eF.7%Ff\l$!+rG9dKF.$"+7XAhiF.7%F]]l$!+er&Ga$F.$"+0T?5nF.7%Fd]l$!+W9dGQF.$"+(p$=frF.7%F[^l$!+IdG9TF.$"+!Hj"3wF.7%Fb^l$!+;+++WF.$"+$)G9d!)F.7%Fi^l$!+-Vr&o%F.$"+vC71&)F.7%F`_l$!+*eG9(\F.$"+o?5b*)F.7%Fh_l$!+vG9d_F.$"+g;3/%*F.7%F_`l$!+hr&Ga&F.$"+`71`)*F.7%Ff`l$!+Z9dGeF.$"+&3/-."F_bl7%F]al$!+LdG9hF.$"+W?5v5F_bl7%Fdal$!+?+++kF.$"+.++?6F_bl-Fial6&F[blF\blF]blF\blF`bl-I%GRIDGF%6&;F/$""&F1FfbmX,F(F(I)anythingGF&[gl'!%"!!#\bm":":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&COLORGF%Fbbm-Fdbm6&FfbmFfbmX,F(F(Fjbm[gl'!%"!!#\bm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