{VERSION 5 0 "IBM INTEL NT" "5.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 
0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 
2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warning" -1 7 1 
{CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 
0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 
-1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 
0 1 }{PSTYLE "Maple Output" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 
0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple P
lot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 
1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "# MAPLE\n\n# KNUDSEN
 02.20 (Elastic Collision in 1D)\n" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 50 "restart; #(use SHIFT-ENTER to get a soft-newline)\n" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 113 "#define the SET of equat
ions\neqns:= \{ m1*v1i+m2*v2i=m1*v1f+m2*v2f, m1*v1i^2/2+m2*v2i^2/2=m1*
v1f^2/2+m2*v2f^2/2 \};" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqnsG<$/,
&*&%#m1G\"\"\"%$v1iGF*F**&%#m2GF*%$v2iGF*F*,&*&F)F*%$v1fGF*F**&F-F*%$v
2fGF*F*/,&*(\"\"#!\"\"F)F*F+F7F**(F7F8F-F*F.F7F*,&*(F7F8F)F*F1F7F**(F7
F8F-F*F3F7F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 102 "KE_transfe
r_ratio:=-(m1*v1f^2/2-m1*v1i^2/2)/(m1*v1i^2/2);\nP_transfer_ratio:=-(m
1*v1f-m1*v1i)/(m1*v1i);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%2KE_trans
fer_ratioG,$**\"\"#\"\"\",&*&#F(F'F(*&%#m1GF()%$v1fGF'F(F(F(*&#F(F'F(*
&F-F()%$v1iGF'F(F(!\"\"F(F-F5F4!\"#F5" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%1P_transfer_ratioG,$*(,&*&%#m1G\"\"\"%$v1fGF*F**&F)F*%$v1iGF*!\"
\"F*F)F.F-F.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "#use Map
le's solve function, and assign the result to sols\nsols:=solve(eqns,
\{v2f,v1f\});\n \n#note the two SETs of solutions" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%%solsG6$<$/%$v2fG%$v2iG/%$v1fG%$v1iG<$/F(*&,(*&%#m2G
\"\"\"F)F3F3*&F)F3%#m1GF3!\"\"*(\"\"#F3F5F3F,F3F3F3,&F2F3F5F3F6/F+*&,(
*&F,F3F2F3F6*&F5F3F,F3F3*(F8F3F2F3F)F3F3F3F9F6" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 76 "###### use special Maple functions to do symbo
lic algebra with the solutions" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 25 "sol_interesting:=sols[2];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>
%0sol_interestingG<$/%$v2fG*&,(*&%#m2G\"\"\"%$v2iGF,F,*&F-F,%#m1GF,!\"
\"*(\"\"#F,F/F,%$v1iGF,F,F,,&F+F,F/F,F0/%$v1fG*&,(*&F3F,F+F,F0*&F/F,F3
F,F,*(F2F,F+F,F-F,F,F,F4F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
70 "v2i:=0; #impose the special case when the target was initially at \+
rest" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$v2iG\"\"!" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 25 "assign (sol_interesting);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "v1f;factor(v1f);" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#*&,&*&%$v1iG\"\"\"%#m2GF'!\"\"*&%#m1GF'F&F'F'F',&F(F'
F+F'F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*(%$v1iG\"\"\",&%#m2G!\"\"%#
m1GF%F%,&F'F%F)F%F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "v2f;
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$**\"\"#\"\"\"%#m1GF&%$v1iGF&,&%#
m2GF&F'F&!\"\"F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 109 "plot3d
( subs(v1i=1,v1f), m1=0..10, m2=0..10 ,axes=normal,style=patch, title=
\"v1 final\",orientation=[140,50]);" }}{PARA 13 "" 1 "" {GLPLOT3D 604 
604 604 {PLOTDATA 3 "6(-%%GRIDG6%;$\"\"!F($\"#5F(F&7;7;%*undefinedG$!
\"\"F(F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.7;$\"+++++5!\"*F'$
!+MLLLL!#5$!+********\\F6$!+)*******fF6$!+lmmmmF6$!+Ur&G9(F6$!+*******
\\(F6$!+xxxxxF6$!+++++!)F6$!+\"====)F6$!+LLLL$)F6$!+h%Q:Y)F6$!+r&G9d)F
6$!+mmmm')F6$!++++]()F6$!+7%HN#))F6$!+*)))))))))F6$!+@%ot%*)F6$!+++++!
*F6$!+[!>w/*F6$!+\"4444*F6$!+$yM/8*F6$!+kmmm\"*F6$!+)******>*F67;F1$\"
+MLLLLF6F'$!+++++?F6F4$!+*G9dG%F6$!+.+++]F6$!+fbbbbF6$!+.+++gF6$!+mjjj
jF6$!+pmmmmF6$!+Ep2BpF6$!+Xr&G9(F6$!+OLLLtF6$!+-+++vF6$!+E)eqk(F6$!+!y
xxx(F6$!+Wot%*yF6$!+-+++!)F6$!+(4Q_4)F6$!+%====)F6$!+n&p3E)F6$!+KLLL$)
F6$!+/+++%)F6$!+m%Q:Y)F67;F1$\"+********\\F6$\"+++++?F6F'$!+I9dG9F6$!+
,+++DF6$!+NLLLLF6$!+-+++SF6$!+ZXXXXF6$!+-+++]F6$!+(Q:YQ&F6$!+;dG9dF6$!
+-+++gF6$!+-++]iF6$!+P#)eqkF6$!+ommmmF6$!+l_5UoF6$!+-+++qF6$!+Wr&G9(F6
$!+ussssF6$!+\\VI\"R(F6$!+)******\\(F6$!+/+++wF6$!+%p2Bp(F6Fhp7;F1$\"+
)*******fF6F^o$\"+I9dG9F6F'$!+76666F6$!+,+++?F6$!+GFFFFF6Fcr$!+[Q:YQF6
$!+(G9dG%F6$!+ommmYF6$!+,+++]F6$!+\\w6%H&F6$!+dbbbbF6$!+'ot%*y&F6$!+,+
++gF6$!+#>w/>'F6$!+ljjjjF6$!+K\"R<_'F6F;$!+.+++oF6$!+Cp2BpF6$!+Oq.PqF6
$!+Vr&G9(F67;F1$\"+lmmmmF6$\"+*G9dG%F6$\"+,+++DF6$\"+76666F6F'$!+&4444
*!#6$!+nmmm;F6$!+4Bp2BF6$!+eG9dGF6F4$!+,++]PF6$!+gqk<TF6$!+YWWWWF6$!+1
@%ot%F6Fhu$!+R_4Q_F6$!+caaaaF6$!+9R<_cF6$!+KLLLeF6Fho$!+bh%Q:'F6$!+'H'
H'H'F6$!+K9dGkF6$!+UTs^lF67;F1$\"+Ur&G9(F6$\"+.+++]F6$\"+NLLLLF6$\"+,+
++?F6$\"+&4444*F[xF'$!+&p2Bp(F[x$!+H9dG9F6F^uFar$!+rk<THF6F4$!+F0@%o$F
6$!+,+++SF6Fdu$!+YXXXXF6$!+(p3Ey%F6F7$!+-+++_F6$!+'Q:YQ&F6$!+bbbbbF6$!
+<dG9dF6$!+n*o?'eF6F_s7;F1$\"+*******\\(F6$\"+fbbbbF6$\"+-+++SF6$\"+GF
FFFF6$\"+nmmm;F6$\"+&p2Bp(F[xF'$F]pF[x$!++++]7F6$!+$)eqk<F6$!+BAAAAF6$
!+[*y:j#F6$!+,+++IF6F4$!+POOOOF6$!+zM/8RF6$!+mmmmTF6$!+-+++WF6$!+;YQ:Y
F6$!+9[\"[\"[F6Fdo$!+%z8C<&F6$!+LLLL`F6$!+p4(Q[&F67;F1$\"+xxxxxF6$\"+.
+++gF6$\"+ZXXXXF6F_z$\"+4Bp2BF6$\"+H9dG9F6$\"+pmmmmF[xF'$!+VHN#)eF[x$!
+66666F6$!+pt%*y:F6F`o$!+\"Q_4Q#F6F`u$!+i#yM/$F6$!+LLLLLF6$!+-+++OF6$!
+ZQ:YQF6$!+uS2uSF6$!+)G9dG%F6$!+A'eF[%F6$!+nmmmYF6$!+w'4(Q[F6$!+/+++]F
67;F1$\"+++++!)F6$\"+mjjjjF6$\"+-+++]F6$\"+[Q:YQF6$\"+eG9dGF6Faz$\"+++
+]7F6$\"+VHN#)eF[xF'$!+'*y:j_F[x$!+++++5F6Fgz$!+>====F6$!+WI\"R<#F6$!+
++++DF6$!+,+++GF6$!+xI#p2$F6F^`l$!+t&G9d$F6$!+\\M5$z$F6$!+++++SF6$!+'Q
[N>%F6$!+,++vVF6$!+[XXXXF67;F1$\"+\"====)F6$Fc_lF6$\"+(Q:YQ&F6$\"+(G9d
G%F6F^oFew$\"+$)eqk<F6$\"+66666F6$\"+'*y:j_F[xF'$!+jZ!>w%F[x$!+$4444*F
[x$!+EyM/8F6$!+mmmm;F6F^u$!+3Bp2BF6$!+#f#f#f#F6$!+fG9dGF6$!+x#[M5$F6F^
`l$!+'4(Q[NF6Fbx$!+SRRRRF6Fdx7;F1$\"+LLLL$)F6$\"+Ep2BpF6$\"+;dG9dF6$\"
+ommmYF6$\"+,++]PF6$\"+rk<THF6$\"+BAAAAF6$\"+pt%*y:F6$F2F6$\"+jZ!>w%F[
xF'$!+)3EyM%F[x$FeqF[x$!+,+++7F6$!+R:YQ:F6$!+_=&=&=F6$!+Wr&G9#F6$!+/Jz
8CF6$!+nmmmEF6$!+1eA.HF6$!+,++DJF6F4$!+k<THNF6$!+:dG9PF67;F1$\"+h%Q:Y)
F6$\"+Xr&G9(F6$\"+-+++gF6$\"+,+++]F6$\"+gqk<TF6F^o$\"+[*y:j#F6F]rF`_l$
\"+$4444*F[x$\"+)3EyM%F[xF'$FfrF[x$FftF[xFf_lFgz$!+Jz8C<F6F`o$!+;X1eAF
6Far$!+FFFFFF6$!+qk<THF6$!+Wr&G9$F6$!+OLLLLF67;F1$\"+r&G9d)F6$\"+OLLLt
F6$\"+-++]iF6$\"+\\w6%H&F6$\"+YWWWWF6$\"+F0@%o$F6$\"+,+++IF6$\"+\"Q_4Q
#F6$\"+>====F6$\"+EyM/8F6$\"+KLLL$)F[x$Fc\\lF[xF'$!+.Pq.PF[x$!+Zr&G9(F
[x$!+fF[M5F6$!+LLLL8F6$!+DK!Hh\"F6$!+,++v=F6$!+@@@@@F6$!+w6%HN#F6$!+s&
G9d#F6$!+yxxxFF6$!+vH(H(HF67;F1$\"+mmmm')F6$\"+-+++vF6$\"+P#)eqkF6$\"+
dbbbbF6$\"+1@%ot%F6$\"+,+++SF6F^oFd\\l$\"+WI\"R<#F6$\"+mmmm;F6$\"+,+++
7F6$\"+%p2Bp(F[x$\"+.Pq.PF[xF'$!+jeF[MF[x$!+nmmmmF[x$!+`$>un*F[xF[]l$!
+:::::F6$!+#)eqk<F6F^uF_]l$!+KCVKCF6$!+\\*y:j#F67;F1$\"++++]()F6$\"+E)
eqk(F6$\"+ommmmF6$\"+'ot%*y&F6F]ilF_dl$\"+POOOOF6$\"+i#yM/$F6$\"+++++D
F6Faz$\"+R:YQ:F6Fcdl$\"+Zr&G9(F[x$\"+jeF[MF[xF'$!+^k!eA$F[x$FbsF[x$!+#
4444*F[x$!+)eqk<\"F6FgzF\\x$!+#*=*=*=F6$!+fJE0@F6$!+5Bp2BF67;F1$\"+7%H
N#))F6$\"+!yxxx(F6$\"+l_5UoF6$\"+,+++gF6$\"+R_4Q_F6$\"+YXXXXF6$\"+zM/8
RF6$\"+LLLLLF6$\"+,+++GF6$\"+3Bp2BF6$\"+_=&=&=F6F`_l$\"+fF[M5F6$\"+nmm
mmF[x$\"+^k!eA$F[xF'$!+JIIIIF[x$!+SHN#)eF[x$!+u&G9d)F[xFf_l$!+^8N^8F6F
h_l$!+&zr[z\"F6$!+-+++?F67;F1$\"+*)))))))))F6$\"+Wot%*yF6$\"+-+++qF6$
\"+#>w/>'F6$\"+caaaaF6$\"+(p3Ey%F6$\"+mmmmTF6$\"+-+++OF6$\"+xI#p2$F6$
\"+#f#f#f#F6$\"+Wr&G9#F6$\"+Jz8C<F6$\"+LLLL8F6$\"+`$>un*F[x$F[[mF[x$\"
+JIIIIF[xF'$FaxF[x$!+cbbbbF[x$!+3\"3\"3\")F[x$!+z:j_5F6$!+#G^?G\"F6$!+
++++:F6$!+vqJ2<F67;F1$\"+@%ot%*)F6$\"+-+++!)F6$\"+Wr&G9(F6$\"+ljjjjF6$
\"+9R<_cF6F[r$\"+-+++WF6$\"+ZQ:YQF6Fibm$\"+fG9dGF6$\"+/Jz8CF6F]r$\"+DK
!Hh\"F6F[bl$\"+#4444*F[x$\"+SHN#)eF[x$FjalF[xF'$!+.Fq-FF[x$!+(*y:j_F[x
FhilFabl$!+'>7&>7F6F_r7;F1$\"+++++!*F6$\"+(4Q_4)F6$\"+ussssF6$\"+K\"R<
_'F6$\"+KLLLeF6$\"+-+++_F6$\"+;YQ:YF6$\"+uS2uSF6$\"+t&G9d$F6$\"+x#[M5$
F6$\"+nmmmEF6$\"+;X1eAF6$\"+,++v=F6$\"+:::::F6$\"+)eqk<\"F6$\"+u&G9d)F
[x$\"+cbbbbF[x$\"+.Fq-FF[xF'$!+lD5kDF[x$!+++++]F[x$!+uJ2<tF[x$!+E&4Q_*
F[x$!+*p!zi6F67;F1$\"+[!>w/*F6$\"+%====)F6$\"+\\VI\"R(F6FawFj^l$\"+'Q:
YQ&F6$\"+9[\"[\"[F6$\"+)G9dG%F6$\"+\\M5$z$F6Fibm$\"+1eA.HF6Few$\"+@@@@
@F6$\"+#)eqk<F6F`_lFcdl$\"+3\"3\"3\")F[x$\"+(*y:j_F[x$\"+lD5kDF[xF'$!+
\"RC!RCF[xFgdl$!+'=Wn(pF[x$!+1\"444*F[x7;F1$\"+\"4444*F6$\"+n&p3E)F6$
\"+)******\\(F6$\"+.+++oF6$\"+bh%Q:'F6$\"+bbbbbF6F]z$\"+A'eF[%F6$\"+++
++SF6$\"+'4(Q[NF6$\"+,++DJF6$\"+FFFFFF6$\"+w6%HN#F6FazFf\\l$\"+^8N^8F6
$\"+z:j_5F6Ff^m$\"+++++]F[x$\"+\"RC!RCF[xF'$!+&R\"eDBF[x$!+XXXXXF[x$!+
\"ommm'F[x7;F1$\"+$yM/8*F6$F[\\mF6$\"+/+++wF6$\"+Cp2BpF6$\"+'H'H'H'F6$
\"+<dG9dF6$\"+%z8C<&F6$\"+nmmmYF6$\"+'Q[N>%F6FdflF^o$\"+qk<THF6$\"+s&G
9d#F6Fhfl$\"+#*=*=*=F6Fjfl$\"+#G^?G\"F6F\\gl$\"+uJ2<tF[xF]gl$\"+&R\"eD
BF[xF'$F`]lF[x$!+.h#yM%F[x7;F1$\"+kmmm\"*F6$\"+/+++%)F6$Fg^mF6$\"+Oq.P
qF6$\"+K9dGkF6$\"+n*o?'eF6$\"+LLLL`F6$\"+w'4(Q[F6$\"+,++vVF6$\"+SRRRRF
6$\"+k<THNF6$\"+Wr&G9$F6$\"+yxxxFF6$\"+KCVKCF6$\"+fJE0@F6$\"+&zr[z\"F6
$\"+++++:F6$\"+'>7&>7F6$\"+E&4Q_*F[x$\"+'=Wn(pF[x$\"+XXXXXF[x$FiflF[xF
'$!+!ffw7#F[x7;F1$\"+)******>*F6$\"+m%Q:Y)F6F]bm$\"+Vr&G9(F6$\"+UTs^lF
6F[il$\"+p4(Q[&F6$\"+/+++]F6$\"+[XXXXF6F_il$\"+:dG9PF6$\"+OLLLLF6$\"+v
H(H(HF6$\"+\\*y:j#F6$\"+5Bp2BF6$\"+-+++?F6$\"+vqJ2<F6Fjt$\"+*p!zi6F6$
\"+1\"444*F[x$\"+\"ommm'F[x$\"+.h#yM%F[x$\"+!ffw7#F[xF'-%&TITLEG6#Q)v1
~final6\"-%*AXESSTYLEG6#%'NORMALG-%&STYLEG6#%&PATCHG-%+AXESLABELSG6%%#
m1G%#m2GQ!F`hn-%+PROJECTIONG6%$\"$S\"F($\"#]F(\"\"\"" 1 2 0 1 10 0 2 
1 1 4 2 1.000000 50.000000 140.000000 1 0 "Curve 1" }}}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 235 "plot3d( subs(v1i=1,v1f), m1=0..10, m2=0.
.10 ,axes=normal,style=patchcontour, title=\"v1 final\",orientation=[1
40,50]);\nplot3d( subs(v1i=1,v2f), m1=0..10, m2=0..10 ,axes=normal,sty
le=patchcontour, title=\"v2 final\",orientation=[140,50]);  " }}{PARA 
13 "" 1 "" {GLPLOT3D 604 604 604 {PLOTDATA 3 "6(-%%GRIDG6%;$\"\"!F($\"
#5F(F&7;7;%*undefinedG$!\"\"F(F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.
F.F.F.7;$\"+++++5!\"*F'$!+MLLLL!#5$!+********\\F6$!+)*******fF6$!+lmmm
mF6$!+Ur&G9(F6$!+*******\\(F6$!+xxxxxF6$!+++++!)F6$!+\"====)F6$!+LLLL$
)F6$!+h%Q:Y)F6$!+r&G9d)F6$!+mmmm')F6$!++++]()F6$!+7%HN#))F6$!+*)))))))
))F6$!+@%ot%*)F6$!+++++!*F6$!+[!>w/*F6$!+\"4444*F6$!+$yM/8*F6$!+kmmm\"
*F6$!+)******>*F67;F1$\"+MLLLLF6F'$!+++++?F6F4$!+*G9dG%F6$!+.+++]F6$!+
fbbbbF6$!+.+++gF6$!+mjjjjF6$!+pmmmmF6$!+Ep2BpF6$!+Xr&G9(F6$!+OLLLtF6$!
+-+++vF6$!+E)eqk(F6$!+!yxxx(F6$!+Wot%*yF6$!+-+++!)F6$!+(4Q_4)F6$!+%===
=)F6$!+n&p3E)F6$!+KLLL$)F6$!+/+++%)F6$!+m%Q:Y)F67;F1$\"+********\\F6$
\"+++++?F6F'$!+I9dG9F6$!+,+++DF6$!+NLLLLF6$!+-+++SF6$!+ZXXXXF6$!+-+++]
F6$!+(Q:YQ&F6$!+;dG9dF6$!+-+++gF6$!+-++]iF6$!+P#)eqkF6$!+ommmmF6$!+l_5
UoF6$!+-+++qF6$!+Wr&G9(F6$!+ussssF6$!+\\VI\"R(F6$!+)******\\(F6$!+/+++
wF6$!+%p2Bp(F6Fhp7;F1$\"+)*******fF6F^o$\"+I9dG9F6F'$!+76666F6$!+,+++?
F6$!+GFFFFF6Fcr$!+[Q:YQF6$!+(G9dG%F6$!+ommmYF6$!+,+++]F6$!+\\w6%H&F6$!
+dbbbbF6$!+'ot%*y&F6$!+,+++gF6$!+#>w/>'F6$!+ljjjjF6$!+K\"R<_'F6F;$!+.+
++oF6$!+Cp2BpF6$!+Oq.PqF6$!+Vr&G9(F67;F1$\"+lmmmmF6$\"+*G9dG%F6$\"+,++
+DF6$\"+76666F6F'$!+&4444*!#6$!+nmmm;F6$!+4Bp2BF6$!+eG9dGF6F4$!+,++]PF
6$!+gqk<TF6$!+YWWWWF6$!+1@%ot%F6Fhu$!+R_4Q_F6$!+caaaaF6$!+9R<_cF6$!+KL
LLeF6Fho$!+bh%Q:'F6$!+'H'H'H'F6$!+K9dGkF6$!+UTs^lF67;F1$\"+Ur&G9(F6$\"
+.+++]F6$\"+NLLLLF6$\"+,+++?F6$\"+&4444*F[xF'$!+&p2Bp(F[x$!+H9dG9F6F^u
Far$!+rk<THF6F4$!+F0@%o$F6$!+,+++SF6Fdu$!+YXXXXF6$!+(p3Ey%F6F7$!+-+++_
F6$!+'Q:YQ&F6$!+bbbbbF6$!+<dG9dF6$!+n*o?'eF6F_s7;F1$\"+*******\\(F6$\"
+fbbbbF6$\"+-+++SF6$\"+GFFFFF6$\"+nmmm;F6$\"+&p2Bp(F[xF'$F]pF[x$!++++]
7F6$!+$)eqk<F6$!+BAAAAF6$!+[*y:j#F6$!+,+++IF6F4$!+POOOOF6$!+zM/8RF6$!+
mmmmTF6$!+-+++WF6$!+;YQ:YF6$!+9[\"[\"[F6Fdo$!+%z8C<&F6$!+LLLL`F6$!+p4(
Q[&F67;F1$\"+xxxxxF6$\"+.+++gF6$\"+ZXXXXF6F_z$\"+4Bp2BF6$\"+H9dG9F6$\"
+pmmmmF[xF'$!+VHN#)eF[x$!+66666F6$!+pt%*y:F6F`o$!+\"Q_4Q#F6F`u$!+i#yM/
$F6$!+LLLLLF6$!+-+++OF6$!+ZQ:YQF6$!+uS2uSF6$!+)G9dG%F6$!+A'eF[%F6$!+nm
mmYF6$!+w'4(Q[F6$!+/+++]F67;F1$\"+++++!)F6$\"+mjjjjF6$\"+-+++]F6$\"+[Q
:YQF6$\"+eG9dGF6Faz$\"++++]7F6$\"+VHN#)eF[xF'$!+'*y:j_F[x$!+++++5F6Fgz
$!+>====F6$!+WI\"R<#F6$!+++++DF6$!+,+++GF6$!+xI#p2$F6F^`l$!+t&G9d$F6$!
+\\M5$z$F6$!+++++SF6$!+'Q[N>%F6$!+,++vVF6$!+[XXXXF67;F1$\"+\"====)F6$F
c_lF6$\"+(Q:YQ&F6$\"+(G9dG%F6F^oFew$\"+$)eqk<F6$\"+66666F6$\"+'*y:j_F[
xF'$!+jZ!>w%F[x$!+$4444*F[x$!+EyM/8F6$!+mmmm;F6F^u$!+3Bp2BF6$!+#f#f#f#
F6$!+fG9dGF6$!+x#[M5$F6F^`l$!+'4(Q[NF6Fbx$!+SRRRRF6Fdx7;F1$\"+LLLL$)F6
$\"+Ep2BpF6$\"+;dG9dF6$\"+ommmYF6$\"+,++]PF6$\"+rk<THF6$\"+BAAAAF6$\"+
pt%*y:F6$F2F6$\"+jZ!>w%F[xF'$!+)3EyM%F[x$FeqF[x$!+,+++7F6$!+R:YQ:F6$!+
_=&=&=F6$!+Wr&G9#F6$!+/Jz8CF6$!+nmmmEF6$!+1eA.HF6$!+,++DJF6F4$!+k<THNF
6$!+:dG9PF67;F1$\"+h%Q:Y)F6$\"+Xr&G9(F6$\"+-+++gF6$\"+,+++]F6$\"+gqk<T
F6F^o$\"+[*y:j#F6F]rF`_l$\"+$4444*F[x$\"+)3EyM%F[xF'$FfrF[x$FftF[xFf_l
Fgz$!+Jz8C<F6F`o$!+;X1eAF6Far$!+FFFFFF6$!+qk<THF6$!+Wr&G9$F6$!+OLLLLF6
7;F1$\"+r&G9d)F6$\"+OLLLtF6$\"+-++]iF6$\"+\\w6%H&F6$\"+YWWWWF6$\"+F0@%
o$F6$\"+,+++IF6$\"+\"Q_4Q#F6$\"+>====F6$\"+EyM/8F6$\"+KLLL$)F[x$Fc\\lF
[xF'$!+.Pq.PF[x$!+Zr&G9(F[x$!+fF[M5F6$!+LLLL8F6$!+DK!Hh\"F6$!+,++v=F6$
!+@@@@@F6$!+w6%HN#F6$!+s&G9d#F6$!+yxxxFF6$!+vH(H(HF67;F1$\"+mmmm')F6$
\"+-+++vF6$\"+P#)eqkF6$\"+dbbbbF6$\"+1@%ot%F6$\"+,+++SF6F^oFd\\l$\"+WI
\"R<#F6$\"+mmmm;F6$\"+,+++7F6$\"+%p2Bp(F[x$\"+.Pq.PF[xF'$!+jeF[MF[x$!+
nmmmmF[x$!+`$>un*F[xF[]l$!+:::::F6$!+#)eqk<F6F^uF_]l$!+KCVKCF6$!+\\*y:
j#F67;F1$\"++++]()F6$\"+E)eqk(F6$\"+ommmmF6$\"+'ot%*y&F6F]ilF_dl$\"+PO
OOOF6$\"+i#yM/$F6$\"+++++DF6Faz$\"+R:YQ:F6Fcdl$\"+Zr&G9(F[x$\"+jeF[MF[
xF'$!+^k!eA$F[x$FbsF[x$!+#4444*F[x$!+)eqk<\"F6FgzF\\x$!+#*=*=*=F6$!+fJ
E0@F6$!+5Bp2BF67;F1$\"+7%HN#))F6$\"+!yxxx(F6$\"+l_5UoF6$\"+,+++gF6$\"+
R_4Q_F6$\"+YXXXXF6$\"+zM/8RF6$\"+LLLLLF6$\"+,+++GF6$\"+3Bp2BF6$\"+_=&=
&=F6F`_l$\"+fF[M5F6$\"+nmmmmF[x$\"+^k!eA$F[xF'$!+JIIIIF[x$!+SHN#)eF[x$
!+u&G9d)F[xFf_l$!+^8N^8F6Fh_l$!+&zr[z\"F6$!+-+++?F67;F1$\"+*)))))))))F
6$\"+Wot%*yF6$\"+-+++qF6$\"+#>w/>'F6$\"+caaaaF6$\"+(p3Ey%F6$\"+mmmmTF6
$\"+-+++OF6$\"+xI#p2$F6$\"+#f#f#f#F6$\"+Wr&G9#F6$\"+Jz8C<F6$\"+LLLL8F6
$\"+`$>un*F[x$F[[mF[x$\"+JIIIIF[xF'$FaxF[x$!+cbbbbF[x$!+3\"3\"3\")F[x$
!+z:j_5F6$!+#G^?G\"F6$!+++++:F6$!+vqJ2<F67;F1$\"+@%ot%*)F6$\"+-+++!)F6
$\"+Wr&G9(F6$\"+ljjjjF6$\"+9R<_cF6F[r$\"+-+++WF6$\"+ZQ:YQF6Fibm$\"+fG9
dGF6$\"+/Jz8CF6F]r$\"+DK!Hh\"F6F[bl$\"+#4444*F[x$\"+SHN#)eF[x$FjalF[xF
'$!+.Fq-FF[x$!+(*y:j_F[xFhilFabl$!+'>7&>7F6F_r7;F1$\"+++++!*F6$\"+(4Q_
4)F6$\"+ussssF6$\"+K\"R<_'F6$\"+KLLLeF6$\"+-+++_F6$\"+;YQ:YF6$\"+uS2uS
F6$\"+t&G9d$F6$\"+x#[M5$F6$\"+nmmmEF6$\"+;X1eAF6$\"+,++v=F6$\"+:::::F6
$\"+)eqk<\"F6$\"+u&G9d)F[x$\"+cbbbbF[x$\"+.Fq-FF[xF'$!+lD5kDF[x$!+++++
]F[x$!+uJ2<tF[x$!+E&4Q_*F[x$!+*p!zi6F67;F1$\"+[!>w/*F6$\"+%====)F6$\"+
\\VI\"R(F6FawFj^l$\"+'Q:YQ&F6$\"+9[\"[\"[F6$\"+)G9dG%F6$\"+\\M5$z$F6Fi
bm$\"+1eA.HF6Few$\"+@@@@@F6$\"+#)eqk<F6F`_lFcdl$\"+3\"3\"3\")F[x$\"+(*
y:j_F[x$\"+lD5kDF[xF'$!+\"RC!RCF[xFgdl$!+'=Wn(pF[x$!+1\"444*F[x7;F1$\"
+\"4444*F6$\"+n&p3E)F6$\"+)******\\(F6$\"+.+++oF6$\"+bh%Q:'F6$\"+bbbbb
F6F]z$\"+A'eF[%F6$\"+++++SF6$\"+'4(Q[NF6$\"+,++DJF6$\"+FFFFFF6$\"+w6%H
N#F6FazFf\\l$\"+^8N^8F6$\"+z:j_5F6Ff^m$\"+++++]F[x$\"+\"RC!RCF[xF'$!+&
R\"eDBF[x$!+XXXXXF[x$!+\"ommm'F[x7;F1$\"+$yM/8*F6$F[\\mF6$\"+/+++wF6$
\"+Cp2BpF6$\"+'H'H'H'F6$\"+<dG9dF6$\"+%z8C<&F6$\"+nmmmYF6$\"+'Q[N>%F6F
dflF^o$\"+qk<THF6$\"+s&G9d#F6Fhfl$\"+#*=*=*=F6Fjfl$\"+#G^?G\"F6F\\gl$
\"+uJ2<tF[xF]gl$\"+&R\"eDBF[xF'$F`]lF[x$!+.h#yM%F[x7;F1$\"+kmmm\"*F6$
\"+/+++%)F6$Fg^mF6$\"+Oq.PqF6$\"+K9dGkF6$\"+n*o?'eF6$\"+LLLL`F6$\"+w'4
(Q[F6$\"+,++vVF6$\"+SRRRRF6$\"+k<THNF6$\"+Wr&G9$F6$\"+yxxxFF6$\"+KCVKC
F6$\"+fJE0@F6$\"+&zr[z\"F6$\"+++++:F6$\"+'>7&>7F6$\"+E&4Q_*F[x$\"+'=Wn
(pF[x$\"+XXXXXF[x$FiflF[xF'$!+!ffw7#F[x7;F1$\"+)******>*F6$\"+m%Q:Y)F6
F]bm$\"+Vr&G9(F6$\"+UTs^lF6F[il$\"+p4(Q[&F6$\"+/+++]F6$\"+[XXXXF6F_il$
\"+:dG9PF6$\"+OLLLLF6$\"+vH(H(HF6$\"+\\*y:j#F6$\"+5Bp2BF6$\"+-+++?F6$
\"+vqJ2<F6Fjt$\"+*p!zi6F6$\"+1\"444*F[x$\"+\"ommm'F[x$\"+.h#yM%F[x$\"+
!ffw7#F[xF'-%&TITLEG6#Q)v1~final6\"-%*AXESSTYLEG6#%'NORMALG-%&STYLEG6#
%-PATCHCONTOURG-%+AXESLABELSG6%%#m1G%#m2GQ!F`hn-%+PROJECTIONG6%$\"$S\"
F($\"#]F(\"\"\"" 1 4 0 1 10 0 2 1 1 4 2 1.000000 50.000000 140.000000 
1 0 "Curve 1" }}}{PARA 13 "" 1 "" {GLPLOT3D 604 604 604 {PLOTDATA 3 "6
(-%%GRIDG6%;$\"\"!F($\"#5F(F&7;7;%*undefinedGF'F'F'F'F'F'F'F'F'F'F'F'F
'F'F'F'F'F'F'F'F'F'F'F'7;$\"+++++?!\"*$\"+++++5F1$\"+ommmm!#5$\"+++++]
F6$\"+++++SF6$\"+KLLLLF6$\"+cG9dGF6$\"+)******\\#F6$\"+AAAAAF6$\"+****
****>F6$\"+<====F6$\"+mmmm;F6$\"+Q:YQ:F6$\"+G9dG9F6$\"+LLLL8F6$\"+****
**\\7F6$\"+)eqk<\"F6$\"+56666F6$\"+y:j_5F6$\"+%*********!#6$\"+=&4Q_*F
Y$\"+'3444*FY$\"+o@l&p)FY$\"+ELLL$)FY$\"+!*******zFY7;F/$FNF1$\"+)****
*****F6$\"+-+++!)F6F4$\"+9dG9dF6F7$\"+WWWWWF6F9$\"+OOOOOF6F;$\"+wI#p2$
F6F=$\"+mmmmEF6F?$\"+w6%HN#F6FA$\"+cJE0@F6FC$\"+/>w/>F6FE$\"+M/8R<F6$
\"+lmmm;F6$\"+++++;F6FI7;F/$\"+++++:F1$\"+++++7F1F2$\"+q&G9d)F6$\"+)**
****\\(F6$\"+kmmmmF6$\"+)*******fF6$\"+_aaaaF6$\"+)*******\\F6$\"+9YQ:
YF6$\"+%G9dG%F6$\"+)*******RF6$\"+)*****\\PF6$\"+i<THNF6F;$\"+OZ*y:$F6
$\"+)*******HF6F=$\"+EFFFFF6$\"+]cp3EF6F?$\"+++++CF6$\"+1Bp2BF6$\"+?AA
AAF67;F/$FipF1$\"+MLLL8F1$\"+Vr&G9\"F1F2$\"+))))))))))F6$\"+++++!)F6$
\"+sssssF6$\"+mmmmmF6$\"+_h%Q:'F6$\"+7dG9dF6$\"+KLLL`F6Fiq$\"+_B)eq%F6
$\"+UWWWWF6$\"+9j_5UF6F_r$\"+3Q_4QF6$\"+MOOOOF6$\"+o3EyMF6$\"+ILLLLF6$
\"+++++KF6Fjo$\"+gH'H'HF6$\"+aG9dGF67;F/$\"+nmmm;F1$\"+H9dG9F1$\"++++]
7F1$\"+66666F1F2$\"+!4444*F6$\"+KLLL$)F6$\"+#p2Bp(F6$\"+Ur&G9(F6F_t$\"
+)*****\\iF6$\"+SHN#)eF6$\"+abbbbF6$\"+%*y:j_F6Fiq$\"+gZ!>w%F6$\"+WXXX
XF6$\"+'3EyM%F6$\"+kmmmTF6F9$\"+YQ:YQF6$\"+-Pq.PF6$\"+s&G9d$F6$\"+ieF[
MF67;F/$\"+9dG9<F1F[qFesF]q$\"+\"4444\"F1F2$\"+I#p2B*F6F_qF[t$\"+++++v
F6$\"+GN#)eqF6F_t$\"+s%*y:jF6$\"+++++gF6Fdo$\"+aaaaaF6$\"+/8R<_F6$\"+'
*******\\F6$\"+++++[F6F[rFit$\"+'G9dG%F6$\"+M5$z8%F6F_r7;F/$\"++++]<F1
$\"+cbbb:F1$\"+++++9F1$\"+tsss7F1$\"+nmmm6F1$\"+xI#p2\"F1F2$\"+MLLL$*F
6$\"++++]()F6$\"+=THN#)F6$\"+yxxxxF6$\"+_5UotF6$\"+++++qF6F_t$\"+ijjjj
F6$\"+?l&p3'F6$\"+ILLLeF6$\"+++++cF6$\"+%Q:YQ&F6$\"+#=&=&=&F6F7$\"+1ie
F[F6$\"+mmmmYF6$\"+I!Hh^%F67;F/$\"+yxxx<F1Fds$\"+baaa9F1F_o$\"+J#p2B\"
F1Fgs$\"+nmmm5F1F2$\"+1Zw6%*F6Fis$\"+KE0@%)F6F[t$\"+=w/>wF6F]t$\"+Q<_c
pF6Fcq$\"+-+++kF6$\"+ah%Q:'F6$\"+Cf#f#fF6$\"+;dG9dF6$\"+!QTs^&F6Fet$\"
+?.Hh^F6F77;F/$\"+++++=F1$\"+POOO;F1F[q$\"+&Q:YQ\"F1$\"+'G9dG\"F1F]q$
\"++++D6F1$\"+HN#)e5F1F2$\"+5Uot%*F6$\"+++++!*F6$\"+s&G9d)F6$\"+#====)
F6$\"+cp3EyF6$\"+'******\\(F6$\"+-+++sF6$\"+Ap2BpF6Fcq$\"+I9dGkF6$\"+_
l*o?'F6Feq$\"+5;X1eF6$\"++++DcF6Fcy7;F/$\"+=====F1F\\v$\"+R:YQ:F1F^vF_
oF`v$FRF1Fbv$\"+z:j_5F1F2$\"+C&4Q_*F6Fdv$\"+u@l&p)F6$\"+ILLL$)F6FboFhv
$\"+/uS2uF6$\"+Wr&G9(F6$\"+C<b'*oF6F_t$\"++Hh^kF6$\"++++]iF6$\"+gggggF
6$\"+QHN#)eF67;F/$\"+LLLL=F1$\"+$p2Bp\"F1$\"+s&G9d\"F1$\"+nmmm9F1$\"++
++v8F1$\"+Zw6%H\"F1$\"+AAAA7F1$\"+PZ*y:\"F1$\"+++++6F1$\"+[!>w/\"F1F2$
\"+#R<_c*F6$\"+immm\"*F6$\"+-+++))F6$\"+i%Q:Y)F6$\"+Y\"[\"[\")F6$\"+gG
9dyF6$\"+'*o?'e(F6$\"+KLLLtF6$\"+!>un4(F6$\"++++voF6F_t$\"+K#)eqkF6$\"
+#G9dG'F67;F/$\"+YQ:Y=F1$\"+:dG9<F1FdsF[q$\"+1Zw69F1F_o$\"+&*y:j7F1F]q
FgsFgx$\"+h#yM/\"F1$\"+'*********F6$\"+-+++'*F6Fix$\"+')))))))))F6$\"+
u&G9d)F6$\"+q?'eF)F6$\"+)*******zF6$\"+![N>u(F6F[yF]tF]y$\"+eG9doF6F_t
7;F/$\"+dG9d=F1$\"+MLLL<F1$\"++++D;F1$\"+l<TH:F1$\"+XWWW9F1$\"+`5Uo8F1
$\"+++++8F1$\"+Q_4Q7F1$\"+#====\"F1$\"+$yM/8\"F1$\"+LLL$3\"F1$\"++++S5
F1F2$\"+E'H'H'*F6$\"+)G9dG*F6$\"+Us^l*)F6$\"+mmmm')F6$\"+qn4(Q)F6$\"++
++D\")F6$\"+yyyyyF6$\"+A)eqk(F6$\"+I9dGuF6$\"+AAAAsF6$\"+Eq-FqF67;F/$
\"+nmmm=F1F`z$\"+C)eqk\"F1Fbz$\"+6Uot9F1FdzF_oFfz$\"+/8R<7F1$\"+mmmm6F
1$\"++++?6F1Fjz$\"+Pq.P5F1F2$\"+9C<b'*F6$\"+KLLL$*F6$\"+g!eA.*F6$\"+-+
+]()F6$\"+%[[[[)F6$\"+;THN#)F6FboFb[l$\"+mvcnvF6$\"+]5UotF67;F/$\"++++
v=F1$\"+$)eqk<F1F\\v$\"+pt%*y:F1F[qF^v$\"+kjjj8F1$\"+EyM/8F1F`vF]q$\"+
ah%Q:\"F1Fbv$\"+s&G92\"F1$\"+fF[M5F1F`o$\"+_$>un*F6$\"+-++v$*F6Fdv$\"+
5%HN#))F6Fh_l$\"+MLLL$)F6$\"+1\"3\"3\")F6$\"+Wot%*yF6Fhv7;F/$\"+THN#)=
F1F[]l$\"+E0@%o\"F1Fds$\"+C&4Q_\"F1F]]l$\"+[VI\"R\"F1F_o$\"++++!G\"F1F
_]l$\"+&=&=&=\"F1Fgs$\"+w#[M5\"F1Fa]l$\"+k!eA.\"F1F2$\"+'pppp*F6$\"+/Z
w6%*F6$\"+Wr&G9*F6Fis$\"+Y'['[')F6$\"+ME0@%)F6$\"+1#G^?)F6Fjfl7;F/$\"+
*)))))))=F1$\"+%ot%*y\"F1$\"+++++<F1$\"+>w/>;F1$\"+YXXX:F1$\"+q3Ey9F1$
\"+mmm;9F1$\"++++g8F1$\"+3Bp28F1$\"+f#f#f7F1$\"+:dG97F1$\"+$z8C<\"F1$
\"+LLLL6F1$\"+$>un4\"F1$\"+++]i5F1$\"+IIII5F1F`o$\"+;dG9(*F6$\"+WWWW%*
F6$\"+)=*=*=*F6$\"+C%ot%*)F6$\"+=([zr)F6$\"+)******\\)F6$\"+CHo#H)F67;
F/$\"+Uot%*=F1Fh^lFexFj^l$\"+\"R<_c\"F1F[q$\"++++S9F1F\\_lF_oF^_l$\"+5
$z8C\"F1F]q$\"+A.Hh6F1F`_lFgxFb_l$\"+H9dG5F1F2$\"+G(H(H(*F6$\"+7Uot%*F
6$\"+K#p2B*F6$\"+)********)F6$\"+3y[!y)F6$\"+o&G9d)F67;F/$\"+++++>F1$
\"+5Q_4=F1$\"+FFFF<F1$\"+8R<_;F1$\"+LLL$e\"F1$\"+,++?:F1$\"+i%Q:Y\"F1$
\"+2uS29F1$\"+eG9d8F1$\"+G[M58F1$\"+nmmm7F1$\"+^k!eA\"F1$\"+++](=\"F1$
\"+^^^^6F1$\"+fqk<6F1$\"+'G9d3\"F1$\"+cbbb5F1$\"+Fq-F5F1F2$\"+W(*eV(*F
6$\"+)******\\*F6$\"+'o#Ho#*F6$\"+[!>w/*F6$\"+-$4s$))F67;F/$\"+0>w/>F1
F]al$\"+N/8R<F1$FHF1$\"+,+++;F1F_al$\"+\"[\"[\"[\"F1F^v$\"+X.Jz8F1F_o$
\"+!eA.H\"F1F`v$\"+77777F1FaalFgsFbv$\"+\"3\"3\"3\"F1Fbal$\"+E5kD5F1F`
o$\"+kv4c(*F6Fdal$\"+!eDBI*F6$\"+)3444*F67;F/$\"+4444>F1$\"+dp3E=F1$\"
+******\\<F1$\"+,++!o\"F1$\"+:YQ:;F1$\"+bbbb:F1$\"+,+++:F1$\"+ieF[9F1F
dz$\"+4(Q[N\"F1$\"+++]78F1Ffz$\"+<THN7F1F]qFhz$\"+N^8N6F1$\"+eJE06F1Fj
z$\"++++]5F1$\"+W-RC5F1F2$\"+g=Wn(*F6$\"+WXXX&*F6$\"+ILLL$*F67;F/$\"+y
M/8>F1Fibl$\"+,++g<F1$\"+#p2Bp\"F1$\"+H'H'H;F1F]cl$\"+!QTs^\"F1F_cl$\"
+Q[N>9F1FaclF_oFccl$\"+dG9d7F1Fecl$\"+*=*=*=\"F1Fgcl$\"+G^?G6F1Ficl$\"
+K2<t5F1F[dl$\"+9eDB5F1F`o$\"+!yxxx*F6F]dl7;F/$\"+mmm;>F1$\"+,++S=F1$
\"+p2Bp<F1$\"+.Pq.<F1$\"+Wr&Gk\"F1$\"+(*o?'e\"F1$\"+LLLL:F1$\"+n4(Q[\"
F1$\"+++]P9F1$\"+%RRRR\"F1$\"+w6%HN\"F1$\"+:dG98F1$\"+yxxx7F1$\"+VKCV7
F1$\"+;j_57F1$\"+!=([z6F1$\"++++]6F1$\"+?7&>7\"F1$\"+&4Q_4\"F1$\"+Uuwp
5F1$\"+XXXX5F1$\"+AAAA5F1F2$\"+USB(y*F67;F/$\"+******>>F1$\"+ZQ:Y=F1F[
]lFex$\"+:C<b;F1Fds$\"+(4(Q[:F1FfimF]]lFjel$\"+r&G9P\"F1Fes$\"+(H(H(H
\"F1F\\flF_]lF]q$\"+2<tq6F1Fgs$\"+q!zi6\"F1FgxFa]lF^fl$\"+'fw7-\"F1F2-
%&TITLEG6#Q)v2~final6\"-%*AXESSTYLEG6#%'NORMALG-%&STYLEG6#%-PATCHCONTO
URG-%+AXESLABELSG6%%#m1G%#m2GQ!F]an-%+PROJECTIONG6%$\"$S\"F($\"#]F(\"
\"\"" 1 4 0 1 10 0 2 1 1 4 2 1.000000 50.000000 140.000000 1 0 "Curve \+
1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 428 "#to use some special
 Maple plotting features, load the plots library\nwith(plots):\n\n#ass
ign names to the plots (for now, suppress output... note the : instead
 of ; )\nP1:=plot3d( subs(v1i=1,v1f), m1=0..10, m2=0..10 ,axes=normal,
style=patchcontour, title=\"v1 final\"):\nP2:=plot3d( subs(v1i=1,v2f),
 m1=0..10, m2=0..10 ,axes=normal,style=patchcontour, title=\"v2 final
\"):\n\ndisplay([P1,P2],title=\"final velocities\",orientation=[50,85]
);" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has \+
been redefined\n" }}{PARA 13 "" 1 "" {GLPLOT3D 604 604 604 {PLOTDATA 
3 "6(-%%GRIDG6&;$\"\"!F($\"#5F(F&7;7;%*undefinedG$!\"\"F(F.F.F.F.F.F.F
.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.F.7;$\"+++++5!\"*F'$!+MLLLL!#5$!+******
**\\F6$!+)*******fF6$!+lmmmmF6$!+Ur&G9(F6$!+*******\\(F6$!+xxxxxF6$!++
+++!)F6$!+\"====)F6$!+LLLL$)F6$!+h%Q:Y)F6$!+r&G9d)F6$!+mmmm')F6$!++++]
()F6$!+7%HN#))F6$!+*)))))))))F6$!+@%ot%*)F6$!+++++!*F6$!+[!>w/*F6$!+\"
4444*F6$!+$yM/8*F6$!+kmmm\"*F6$!+)******>*F67;F1$\"+MLLLLF6F'$!+++++?F
6F4$!+*G9dG%F6$!+.+++]F6$!+fbbbbF6$!+.+++gF6$!+mjjjjF6$!+pmmmmF6$!+Ep2
BpF6$!+Xr&G9(F6$!+OLLLtF6$!+-+++vF6$!+E)eqk(F6$!+!yxxx(F6$!+Wot%*yF6$!
+-+++!)F6$!+(4Q_4)F6$!+%====)F6$!+n&p3E)F6$!+KLLL$)F6$!+/+++%)F6$!+m%Q
:Y)F67;F1$\"+********\\F6$\"+++++?F6F'$!+I9dG9F6$!+,+++DF6$!+NLLLLF6$!
+-+++SF6$!+ZXXXXF6$!+-+++]F6$!+(Q:YQ&F6$!+;dG9dF6$!+-+++gF6$!+-++]iF6$
!+P#)eqkF6$!+ommmmF6$!+l_5UoF6$!+-+++qF6$!+Wr&G9(F6$!+ussssF6$!+\\VI\"
R(F6$!+)******\\(F6$!+/+++wF6$!+%p2Bp(F6Fhp7;F1$\"+)*******fF6F^o$\"+I
9dG9F6F'$!+76666F6$!+,+++?F6$!+GFFFFF6Fcr$!+[Q:YQF6$!+(G9dG%F6$!+ommmY
F6$!+,+++]F6$!+\\w6%H&F6$!+dbbbbF6$!+'ot%*y&F6$!+,+++gF6$!+#>w/>'F6$!+
ljjjjF6$!+K\"R<_'F6F;$!+.+++oF6$!+Cp2BpF6$!+Oq.PqF6$!+Vr&G9(F67;F1$\"+
lmmmmF6$\"+*G9dG%F6$\"+,+++DF6$\"+76666F6F'$!+&4444*!#6$!+nmmm;F6$!+4B
p2BF6$!+eG9dGF6F4$!+,++]PF6$!+gqk<TF6$!+YWWWWF6$!+1@%ot%F6Fhu$!+R_4Q_F
6$!+caaaaF6$!+9R<_cF6$!+KLLLeF6Fho$!+bh%Q:'F6$!+'H'H'H'F6$!+K9dGkF6$!+
UTs^lF67;F1$\"+Ur&G9(F6$\"+.+++]F6$\"+NLLLLF6$\"+,+++?F6$\"+&4444*F[xF
'$!+&p2Bp(F[x$!+H9dG9F6F^uFar$!+rk<THF6F4$!+F0@%o$F6$!+,+++SF6Fdu$!+YX
XXXF6$!+(p3Ey%F6F7$!+-+++_F6$!+'Q:YQ&F6$!+bbbbbF6$!+<dG9dF6$!+n*o?'eF6
F_s7;F1$\"+*******\\(F6$\"+fbbbbF6$\"+-+++SF6$\"+GFFFFF6$\"+nmmm;F6$\"
+&p2Bp(F[xF'$F]pF[x$!++++]7F6$!+$)eqk<F6$!+BAAAAF6$!+[*y:j#F6$!+,+++IF
6F4$!+POOOOF6$!+zM/8RF6$!+mmmmTF6$!+-+++WF6$!+;YQ:YF6$!+9[\"[\"[F6Fdo$
!+%z8C<&F6$!+LLLL`F6$!+p4(Q[&F67;F1$\"+xxxxxF6$\"+.+++gF6$\"+ZXXXXF6F_
z$\"+4Bp2BF6$\"+H9dG9F6$\"+pmmmmF[xF'$!+VHN#)eF[x$!+66666F6$!+pt%*y:F6
F`o$!+\"Q_4Q#F6F`u$!+i#yM/$F6$!+LLLLLF6$!+-+++OF6$!+ZQ:YQF6$!+uS2uSF6$
!+)G9dG%F6$!+A'eF[%F6$!+nmmmYF6$!+w'4(Q[F6$!+/+++]F67;F1$\"+++++!)F6$
\"+mjjjjF6$\"+-+++]F6$\"+[Q:YQF6$\"+eG9dGF6Faz$\"++++]7F6$\"+VHN#)eF[x
F'$!+'*y:j_F[x$!+++++5F6Fgz$!+>====F6$!+WI\"R<#F6$!+++++DF6$!+,+++GF6$
!+xI#p2$F6F^`l$!+t&G9d$F6$!+\\M5$z$F6$!+++++SF6$!+'Q[N>%F6$!+,++vVF6$!
+[XXXXF67;F1$\"+\"====)F6$Fc_lF6$\"+(Q:YQ&F6$\"+(G9dG%F6F^oFew$\"+$)eq
k<F6$\"+66666F6$\"+'*y:j_F[xF'$!+jZ!>w%F[x$!+$4444*F[x$!+EyM/8F6$!+mmm
m;F6F^u$!+3Bp2BF6$!+#f#f#f#F6$!+fG9dGF6$!+x#[M5$F6F^`l$!+'4(Q[NF6Fbx$!
+SRRRRF6Fdx7;F1$\"+LLLL$)F6$\"+Ep2BpF6$\"+;dG9dF6$\"+ommmYF6$\"+,++]PF
6$\"+rk<THF6$\"+BAAAAF6$\"+pt%*y:F6$F2F6$\"+jZ!>w%F[xF'$!+)3EyM%F[x$Fe
qF[x$!+,+++7F6$!+R:YQ:F6$!+_=&=&=F6$!+Wr&G9#F6$!+/Jz8CF6$!+nmmmEF6$!+1
eA.HF6$!+,++DJF6F4$!+k<THNF6$!+:dG9PF67;F1$\"+h%Q:Y)F6$\"+Xr&G9(F6$\"+
-+++gF6$\"+,+++]F6$\"+gqk<TF6F^o$\"+[*y:j#F6F]rF`_l$\"+$4444*F[x$\"+)3
EyM%F[xF'$FfrF[x$FftF[xFf_lFgz$!+Jz8C<F6F`o$!+;X1eAF6Far$!+FFFFFF6$!+q
k<THF6$!+Wr&G9$F6$!+OLLLLF67;F1$\"+r&G9d)F6$\"+OLLLtF6$\"+-++]iF6$\"+
\\w6%H&F6$\"+YWWWWF6$\"+F0@%o$F6$\"+,+++IF6$\"+\"Q_4Q#F6$\"+>====F6$\"
+EyM/8F6$\"+KLLL$)F[x$Fc\\lF[xF'$!+.Pq.PF[x$!+Zr&G9(F[x$!+fF[M5F6$!+LL
LL8F6$!+DK!Hh\"F6$!+,++v=F6$!+@@@@@F6$!+w6%HN#F6$!+s&G9d#F6$!+yxxxFF6$
!+vH(H(HF67;F1$\"+mmmm')F6$\"+-+++vF6$\"+P#)eqkF6$\"+dbbbbF6$\"+1@%ot%
F6$\"+,+++SF6F^oFd\\l$\"+WI\"R<#F6$\"+mmmm;F6$\"+,+++7F6$\"+%p2Bp(F[x$
\"+.Pq.PF[xF'$!+jeF[MF[x$!+nmmmmF[x$!+`$>un*F[xF[]l$!+:::::F6$!+#)eqk<
F6F^uF_]l$!+KCVKCF6$!+\\*y:j#F67;F1$\"++++]()F6$\"+E)eqk(F6$\"+ommmmF6
$\"+'ot%*y&F6F]ilF_dl$\"+POOOOF6$\"+i#yM/$F6$\"+++++DF6Faz$\"+R:YQ:F6F
cdl$\"+Zr&G9(F[x$\"+jeF[MF[xF'$!+^k!eA$F[x$FbsF[x$!+#4444*F[x$!+)eqk<
\"F6FgzF\\x$!+#*=*=*=F6$!+fJE0@F6$!+5Bp2BF67;F1$\"+7%HN#))F6$\"+!yxxx(
F6$\"+l_5UoF6$\"+,+++gF6$\"+R_4Q_F6$\"+YXXXXF6$\"+zM/8RF6$\"+LLLLLF6$
\"+,+++GF6$\"+3Bp2BF6$\"+_=&=&=F6F`_l$\"+fF[M5F6$\"+nmmmmF[x$\"+^k!eA$
F[xF'$!+JIIIIF[x$!+SHN#)eF[x$!+u&G9d)F[xFf_l$!+^8N^8F6Fh_l$!+&zr[z\"F6
$!+-+++?F67;F1$\"+*)))))))))F6$\"+Wot%*yF6$\"+-+++qF6$\"+#>w/>'F6$\"+c
aaaaF6$\"+(p3Ey%F6$\"+mmmmTF6$\"+-+++OF6$\"+xI#p2$F6$\"+#f#f#f#F6$\"+W
r&G9#F6$\"+Jz8C<F6$\"+LLLL8F6$\"+`$>un*F[x$F[[mF[x$\"+JIIIIF[xF'$FaxF[
x$!+cbbbbF[x$!+3\"3\"3\")F[x$!+z:j_5F6$!+#G^?G\"F6$!+++++:F6$!+vqJ2<F6
7;F1$\"+@%ot%*)F6$\"+-+++!)F6$\"+Wr&G9(F6$\"+ljjjjF6$\"+9R<_cF6F[r$\"+
-+++WF6$\"+ZQ:YQF6Fibm$\"+fG9dGF6$\"+/Jz8CF6F]r$\"+DK!Hh\"F6F[bl$\"+#4
444*F[x$\"+SHN#)eF[x$FjalF[xF'$!+.Fq-FF[x$!+(*y:j_F[xFhilFabl$!+'>7&>7
F6F_r7;F1$\"+++++!*F6$\"+(4Q_4)F6$\"+ussssF6$\"+K\"R<_'F6$\"+KLLLeF6$
\"+-+++_F6$\"+;YQ:YF6$\"+uS2uSF6$\"+t&G9d$F6$\"+x#[M5$F6$\"+nmmmEF6$\"
+;X1eAF6$\"+,++v=F6$\"+:::::F6$\"+)eqk<\"F6$\"+u&G9d)F[x$\"+cbbbbF[x$
\"+.Fq-FF[xF'$!+lD5kDF[x$!+++++]F[x$!+uJ2<tF[x$!+E&4Q_*F[x$!+*p!zi6F67
;F1$\"+[!>w/*F6$\"+%====)F6$\"+\\VI\"R(F6FawFj^l$\"+'Q:YQ&F6$\"+9[\"[
\"[F6$\"+)G9dG%F6$\"+\\M5$z$F6Fibm$\"+1eA.HF6Few$\"+@@@@@F6$\"+#)eqk<F
6F`_lFcdl$\"+3\"3\"3\")F[x$\"+(*y:j_F[x$\"+lD5kDF[xF'$!+\"RC!RCF[xFgdl
$!+'=Wn(pF[x$!+1\"444*F[x7;F1$\"+\"4444*F6$\"+n&p3E)F6$\"+)******\\(F6
$\"+.+++oF6$\"+bh%Q:'F6$\"+bbbbbF6F]z$\"+A'eF[%F6$\"+++++SF6$\"+'4(Q[N
F6$\"+,++DJF6$\"+FFFFFF6$\"+w6%HN#F6FazFf\\l$\"+^8N^8F6$\"+z:j_5F6Ff^m
$\"+++++]F[x$\"+\"RC!RCF[xF'$!+&R\"eDBF[x$!+XXXXXF[x$!+\"ommm'F[x7;F1$
\"+$yM/8*F6$F[\\mF6$\"+/+++wF6$\"+Cp2BpF6$\"+'H'H'H'F6$\"+<dG9dF6$\"+%
z8C<&F6$\"+nmmmYF6$\"+'Q[N>%F6FdflF^o$\"+qk<THF6$\"+s&G9d#F6Fhfl$\"+#*
=*=*=F6Fjfl$\"+#G^?G\"F6F\\gl$\"+uJ2<tF[xF]gl$\"+&R\"eDBF[xF'$F`]lF[x$
!+.h#yM%F[x7;F1$\"+kmmm\"*F6$\"+/+++%)F6$Fg^mF6$\"+Oq.PqF6$\"+K9dGkF6$
\"+n*o?'eF6$\"+LLLL`F6$\"+w'4(Q[F6$\"+,++vVF6$\"+SRRRRF6$\"+k<THNF6$\"
+Wr&G9$F6$\"+yxxxFF6$\"+KCVKCF6$\"+fJE0@F6$\"+&zr[z\"F6$\"+++++:F6$\"+
'>7&>7F6$\"+E&4Q_*F[x$\"+'=Wn(pF[x$\"+XXXXXF[x$FiflF[xF'$!+!ffw7#F[x7;
F1$\"+)******>*F6$\"+m%Q:Y)F6F]bm$\"+Vr&G9(F6$\"+UTs^lF6F[il$\"+p4(Q[&
F6$\"+/+++]F6$\"+[XXXXF6F_il$\"+:dG9PF6$\"+OLLLLF6$\"+vH(H(HF6$\"+\\*y
:j#F6$\"+5Bp2BF6$\"+-+++?F6$\"+vqJ2<F6Fjt$\"+*p!zi6F6$\"+1\"444*F[x$\"
+\"ommm'F[x$\"+.h#yM%F[x$\"+!ffw7#F[xF'-%&STYLEG6#%-PATCHCONTOURG-F$6&
F&F&7;7;F-F'F'F'F'F'F'F'F'F'F'F'F'F'F'F'F'F'F'F'F'F'F'F'F'7;$F^rF3F1F]
`m$F^`nF6F__n$\"+KLLLLF6$\"+cG9dGF6$\"+)******\\#F6$\"+AAAAAF6$\"+****
****>F6$\"+<====F6Fb^m$\"+Q:YQ:F6$\"+G9dG9F6F\\fm$\"+******\\7F6F][n$
\"+56666F6$\"+y:j_5F6$\"+%*********F[x$\"+=&4Q_*F[x$\"+'3444*F[x$\"+o@
l&p)F[x$\"+ELLL$)F[x$\"+!*******zF[x7;Fehn$F]fmF3$\"+)*********F6FcgmF
]`m$\"+9dG9dF6Ffhn$\"+WWWWWF6F__n$\"+OOOOOF6Fghn$\"+wI#p2$F6Fihn$\"+mm
mmEF6F[inFg_nF]in$\"+cJE0@F6F_in$\"+/>w/>F6Fain$\"+M/8R<F6$\"+lmmm;F6$
\"+++++;F6Fcin7;Fehn$FidnF3$\"+++++7F3F1$\"+q&G9d)F6Fe^n$\"+kmmmmF6Fht
$\"+_aaaaF6$\"+)*******\\F6$\"+9YQ:YF6$\"+%G9dG%F6$\"+)*******RF6$\"+)
*****\\PF6$\"+i<THNF6Fghn$\"+OZ*y:$F6$\"+)*******HF6Fihn$\"+EFFFFF6$\"
+]cp3EF6F[in$\"+++++CF6$\"+1Bp2BF6$\"+?AAAAF67;Fehn$F`\\oF3$\"+MLLL8F3
$\"+Vr&G9\"F3F1$\"+))))))))))F6Faal$\"+sssssF6$\"+mmmmmF6$\"+_h%Q:'F6$
\"+7dG9dF6$\"+KLLL`F6F[]o$\"+_B)eq%F6$\"+UWWWWF6$\"+9j_5UF6Fa]o$\"+3Q_
4QF6$\"+MOOOOF6$\"+o3EyMF6$\"+ILLLLF6$\"+++++KF6Fc[o$\"+gH'H'HF6$\"+aG
9dGF67;Fehn$Fg\\lF3$Fa_lF3$F\\blF3$FddlF3F1$\"+!4444*F6Fj`n$\"+#p2Bp(F
6F[zF__o$\"+)*****\\iF6$FhhmF6$\"+abbbbF6$\"+%*y:j_F6F[]o$\"+gZ!>w%F6$
\"+WXXXXF6$\"+'3EyM%F6$\"+kmmmTF6F__n$\"+YQ:YQF6$\"+-Pq.PF6$\"+s&G9d$F
6$\"+ieF[MF67;Fehn$\"+9dG9<F3Fb\\oFg^oFc\\o$\"+\"4444\"F3F1$\"+I#p2B*F
6Fe\\oFaal$\"+++++vF6$\"+GN#)eqF6F__o$\"+s%*y:jF6$\"+++++gF6F][o$\"+aa
aaaF6$\"+/8R<_F6$\"+'*******\\F6$\"+++++[F6F]]oFi_o$\"+'G9dG%F6$\"+M5$
z8%F6Fa]o7;Fehn$\"++++]<F3$\"+cbbb:F3$\"+++++9F3$\"+tsss7F3$\"+nmmm6F3
$\"+xI#p2\"F3F1$\"+MLLL$*F6Fi_m$\"+=THN#)F6$\"+yxxxxF6$\"+_5UotF6$\"++
+++qF6F__o$\"+ijjjjF6$\"+?l&p3'F6$\"+ILLLeF6$\"+++++cF6$\"+%Q:YQ&F6$\"
+#=&=&=&F6Ffhn$\"+1ieF[F6$\"+mmmmYF6$\"+I!Hh^%F67;Fehn$\"+yxxx<F3Ff^o$
\"+baaa9F3Fjjn$\"+J#p2B\"F3Fi^o$\"+nmmm5F3F1$\"+1Zw6%*F6F[_o$\"+KE0@%)
F6Faal$\"+=w/>wF6F]_o$\"+Q<_cpF6Fg\\o$\"+-+++kF6$\"+ah%Q:'F6$\"+Cf#f#f
F6F`fl$\"+!QTs^&F6Fe_o$\"+?.Hh^F6Ffhn7;Fehn$\"+++++=F3$\"+POOO;F3Fb\\o
$\"+&Q:YQ\"F3$\"+'G9dG\"F3Fc\\o$\"++++D6F3$\"+HN#)e5F3F1$\"+5Uot%*F6Fa
im$\"+s&G9d)F6$\"+#====)F6$\"+cp3EyF6$\"+'******\\(F6$\"+-+++sF6$\"+Ap
2BpF6Fg\\o$\"+I9dGkF6$\"+_l*o?'F6Fht$\"+5;X1eF6$\"++++DcF6Fjco7;Fehn$
\"+=====F3F\\ao$Fh`mF3F]aoFjjnF^ao$F^[nF3F_ao$F\\`nF3F1$\"+C&4Q_*F6F`a
o$\"+u@l&p)F6$\"+ILLL$)F6FcgmFbao$\"+/uS2uF6Fegm$\"+C<b'*oF6F__o$\"++H
h^kF6$\"++++]iF6$\"+gggggF6$\"+QHN#)eF67;Fehn$\"+LLLL=F3$\"+$p2Bp\"F3$
\"+s&G9d\"F3$\"+nmmm9F3$\"++++v8F3$\"+Zw6%H\"F3$\"+AAAA7F3$\"+PZ*y:\"F
3$\"+++++6F3$\"+[!>w/\"F3F1$\"+#R<_c*F6$\"+immm\"*F6$\"+-+++))F6$\"+i%
Q:Y)F6$\"+Y\"[\"[\")F6$\"+gG9dyF6$\"+'*o?'e(F6$\"+KLLLtF6$\"+!>un4(F6$
\"++++voF6F__o$\"+K#)eqkF6$\"+#G9dG'F67;Fehn$\"+YQ:Y=F3$\"+:dG9<F3Ff^o
Fb\\o$\"+1Zw69F3Fjjn$\"+&*y:j7F3Fc\\oFi^oF^co$\"+h#yM/\"F3$\"+'*******
**F6$\"+-+++'*F6F`co$\"+')))))))))F6$F`[nF6$\"+q?'eF)F6$\"+)*******zF6
$\"+![N>u(F6FbcoF]_oFdco$\"+eG9doF6F__o7;Fehn$\"+dG9d=F3$\"+MLLL<F3$\"
++++D;F3$\"+l<TH:F3$\"+XWWW9F3$\"+`5Uo8F3$\"+++++8F3$\"+Q_4Q7F3$\"+#==
==\"F3$\"+$yM/8\"F3$\"+LLL$3\"F3$\"++++S5F3F1$\"+E'H'H'*F6$\"+)G9dG*F6
$\"+Us^l*)F6Fd]m$\"+qn4(Q)F6$\"++++D\")F6$\"+yyyyyF6$\"+A)eqk(F6$\"+I9
dGuF6$\"+AAAAsF6$\"+Eq-FqF67;Fehn$\"+nmmm=F3Fgdo$\"+C)eqk\"F3Fido$\"+6
Uot9F3F[eoFjjnF]eo$\"+/8R<7F3$\"+mmmm6F3$\"++++?6F3Faeo$\"+Pq.P5F3F1$
\"+9C<b'*F6$\"+KLLL$*F6$\"+g!eA.*F6$\"+-++]()F6$\"+%[[[[)F6$\"+;THN#)F
6FcgmFgeo$\"+mvcnvF6$\"+]5UotF67;Fehn$\"++++v=F3$FbdlF3F\\ao$F[glF3Fb
\\oF]ao$\"+kjjj8F3$Fi[mF3F^aoFc\\o$\"+ah%Q:\"F3F_ao$\"+s&G92\"F3$FbcmF
3F[[o$\"+_$>un*F6$\"+-++v$*F6F`ao$\"+5%HN#))F6Fiio$\"+MLLL$)F6$\"+1\"3
\"3\")F6FfdmFbao7;Fehn$\"+THN#)=F3F`go$\"+E0@%o\"F3Ff^o$\"+C&4Q_\"F3Fb
go$\"+[VI\"R\"F3Fjjn$\"++++!G\"F3Fdgo$\"+&=&=&=\"F3Fi^o$\"+w#[M5\"F3Ff
go$\"+k!eA.\"F3F1$\"+'pppp*F6$\"+/Zw6%*F6$\"+Wr&G9*F6F[_o$\"+Y'['[')F6
$\"+ME0@%)F6$\"+1#G^?)F6Ff`p7;Fehn$\"+*)))))))=F3$\"+%ot%*y\"F3$\"++++
+<F3$\"+>w/>;F3$\"+YXXX:F3$\"+q3Ey9F3$\"+mmm;9F3$\"++++g8F3$\"+3Bp28F3
$\"+f#f#f7F3$\"+:dG97F3$\"+$z8C<\"F3$\"+LLLL6F3$\"+$>un4\"F3$\"+++]i5F
3$\"+IIII5F3F[[o$\"+;dG9(*F6$\"+WWWW%*F6$\"+)=*=*=*F6$\"+C%ot%*)F6$\"+
=([zr)F6$\"+)******\\)F6$\"+CHo#H)F67;Fehn$\"+Uot%*=F3F[ioF\\coF]io$\"
+\"R<_c\"F3Fb\\o$\"++++S9F3F_ioFjjnFaio$\"+5$z8C\"F3Fc\\o$\"+A.Hh6F3Fc
ioF^coFeio$\"+H9dG5F3F1$\"+G(H(H(*F6$\"+7Uot%*F6$\"+K#p2B*F6$\"+)*****
***)F6$\"+3y[!y)F6$\"+o&G9d)F67;Fehn$\"+++++>F3$\"+5Q_4=F3$\"+FFFF<F3$
\"+8R<_;F3$\"+LLL$e\"F3$\"+,++?:F3$\"+i%Q:Y\"F3$\"+2uS29F3$\"+eG9d8F3$
\"+G[M58F3$\"+nmmm7F3$\"+^k!eA\"F3$\"+++](=\"F3$\"+^^^^6F3$\"+fqk<6F3$
\"+'G9d3\"F3$\"+cbbb5F3$\"+Fq-F5F3F1$\"+W(*eV(*F6$\"+)******\\*F6$\"+'
o#Ho#*F6F`\\n$\"+-$4s$))F67;Fehn$\"+0>w/>F3F^[p$\"+N/8R<F3$Fc^mF3$\"+,
+++;F3F`[p$\"+\"[\"[\"[\"F3F]ao$\"+X.Jz8F3Fjjn$\"+!eA.H\"F3F^ao$\"+777
77F3Fa[pFi^oF_ao$\"+\"3\"3\"3\"F3Fb[p$\"+E5kD5F3F[[o$\"+kv4c(*F6Fc[p$
\"+!eDBI*F6$\"+)3444*F67;Fehn$\"+4444>F3$\"+dp3E=F3$\"+******\\<F3$\"+
,++!o\"F3$\"+:YQ:;F3$\"+bbbb:F3$\"+,+++:F3$\"+ieF[9F3F[eo$\"+4(Q[N\"F3
$\"+++]78F3F]eo$\"+<THN7F3Fc\\oF_eo$\"+N^8N6F3$\"+eJE06F3Faeo$\"++++]5
F3$\"+W-RC5F3F1$\"+g=Wn(*F6$\"+WXXX&*F6$\"+ILLL$*F67;Fehn$\"+yM/8>F3Ff
\\p$\"+,++g<F3$\"+#p2Bp\"F3$\"+H'H'H;F3Fj\\p$\"+!QTs^\"F3F\\]p$\"+Q[N>
9F3F^]pFjjnF`]p$\"+dG9d7F3Fb]p$\"+*=*=*=\"F3Fd]p$\"+G^?G6F3Ff]p$\"+K2<
t5F3Fh]p$\"+9eDB5F3F[[o$\"+!yxxx*F6Fj]p7;Fehn$\"+mmm;>F3$\"+,++S=F3$\"
+p2Bp<F3$\"+.Pq.<F3$\"+Wr&Gk\"F3$\"+(*o?'e\"F3$\"+LLLL:F3$\"+n4(Q[\"F3
$\"+++]P9F3$\"+%RRRR\"F3$\"+w6%HN\"F3$\"+:dG98F3$\"+yxxx7F3$\"+VKCV7F3
$\"+;j_57F3$\"+!=([z6F3$\"++++]6F3$\"+?7&>7\"F3$\"+&4Q_4\"F3$\"+Uuwp5F
3$\"+XXXX5F3$\"+AAAA5F3F1$\"+USB(y*F67;Fehn$\"+******>>F3$\"+ZQ:Y=F3F`
goF\\co$\"+:C<b;F3Ff^o$\"+(4(Q[:F3FhbqFbgoFg_p$\"+r&G9P\"F3Fg^o$\"+(H(
H(H\"F3Fi_pFdgoFc\\o$\"+2<tq6F3Fi^o$\"+q!zi6\"F3F^coFfgoF[`p$\"+'fw7-
\"F3F1F\\hn-%&TITLEG6#Q1final~velocities6\"-%*AXESSTYLEG6#%'NORMALG-%+
AXESLABELSG6&%#m1G%#m2GQ!F_jq-%%FONTG6#%(DEFAULTG-%+PROJECTIONG6%$\"#]
F($\"#&)F(\"\"\"" 1 2 0 1 10 0 2 1 1 4 2 1.000000 85.000000 50.000000 
1 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 110 
"KE_transfer_ratio;simplify(%);\nplot3d(KE_transfer_ratio,m1=1e-6..5,m
2=1e-6..5,axes=boxed,orientation=[20,80]);" }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#,$**\"\"#\"\"\",&**F%!\"\"%#m1GF&,&*&%$v1iGF&%#m2GF&F)*&F*F&F-F&
F&F%,&F.F&F*F&!\"#F&*(F%F)F*F&F-F%F)F&F*F)F-F1F)" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,$**\"\"%\"\"\"%#m1GF&%#m2GF&,&F(F&F'F&!\"#F&" }}{PARA 
13 "" 1 "" {GLPLOT3D 604 604 604 {PLOTDATA 3 "6&-%%GRIDG6%;$\"\"\"!\"'
$\"\"&\"\"!F&7;7;$\"+++++5!\"*$\"+++)*>>!#9$\"+++++'*!#:$\"+++++kF7$\"
+++++[F7$\"+++SRQF7$\"+++++KF7$\"+++?VFF7$\"+++++CF7$\"+++?L@F7$\"+++?
?>F7$\"+++gX<F7$\"+++++;F7$\"+++!oZ\"F7$\"+++gr8F7$\"++++!G\"F7$\"+++g
*>\"F7$\"+++!)G6F7$\"+++!o1\"F7$\"++++65F7$\"++++'f*!#;$\"++++W\"*Ffn$
\"++++E()Ffn$\"++++[$)Ffn$\"+++++!)Ffn7;$\"+o6**>>F4$\"+'*********!#5$
\"+'*f*)))))Fdo$\"+'*>,+vFdo$\"+9Q,+kFdo$\"+w(pbb&Fdo$\"+yJ(z*[Fdo$\"+
-N,vVFdo$\"+#>I1&RFdo$\"+)G7+g$Fdo$\"+1oz0LFdo$\"+mmcbIFdo$\"+asCSGFdo
$\"++82`EFdo$\"++&)*))[#Fdo$\"+#=fPM#Fdo$\"+g;a9AFdo$\"+_Qx)4#Fdo$\"+=
zY%*>Fdo$\"+vx++>Fdo$\"+Tk19=Fdo$\"+%RWbt\"Fdo$\"+?I_j;Fdo$\"+S*Gsf\"F
do$\"+*\\1g`\"Fdo7;$\"+y)y**f*F7$\"+-g*)))))FdoF/$\"+M:++'*Fdo$\"+WC*)
))))Fdo$\"+Y.Fj\")Fdo$\"+-g++vFdo$\"+Goe8pFdo$\"+3p++kFdo$\"+%G?/&fFdo
$\"+gEcbbFdo$\"+mw52_Fdo$\"+wh'z*[Fdo$\"+-\"HAi%Fdo$\"+Yn+vVFdo$\"+MdD
_TFdo$\"+GPi]RFdo$\"+7$>tw$Fdo$\"+Mh++OFdo$\"+1!=nW$Fdo$\"+e4z0LFdo$\"
+)44e<$Fdo$\"+16cbIFdo$\"+;a+WHFdo$\"+q>CSGFdo7;$\"+Q5***R'F7$\"+-?,+v
Fdo$\"+Q:++'*FdoF/$\"+G*=fz*Fdo$\"+/:+v$*Fdo$\"+g7*)))))Fdo$\"+uI++%)F
do$\"+1z)Q$zFdo$\"+)*R++vFdo$\"+)*ff+rFdo$\"+_$)pMnFdo$\"+1Y++kFdo$\"+
'oaP4'Fdo$\"+=N:8eFdo$\"+%Hgbb&Fdo$\"+%Gk&=`Fdo$\"++Z++^Fdo$\"+YQ'z*[F
do$\"+7%[2r%Fdo$\"+il'o`%Fdo$\"+)\\/]P%Fdo$\"+MW+CUFdo$\"+1Y%G3%Fdo$\"
+'e@1&RFdo7;$\"++_***z%F7$\"+?Q,+kFdoFjrF[vF/$\"+uMaw)*Fdo$\"+o2++'*Fd
o$\"+Y'*>c#*Fdo$\"+k1*)))))Fdo$\"+WAr?&)Fdo$\"+EyEj\")Fdo$\"+3]AAyFdo$
\"+)*H++vFdo$\"++]B(>(Fdo$\"+ONe8pFdo$\"+KG?[mFdo$\"+_M++kFdo$\"+cR!y;
'Fdo$\"+anT]fFdo$\"+?apYdFdo$\"+3\"fbb&Fdo$\"+[N+w`Fdo$\"+IT52_Fdo$\"+
%\\9![]Fdo$\"+yE'z*[Fdo7;$\"+#3(**RQF7$\"+#ypbb&FdoF\\s$\"++:+v$*FdoFj
xF/$\"+;bN<**Fdo$\"+mEAA(*Fdo$\"+1kXn%*Fdo$\"+'euO=*Fdo$\"+3.*)))))Fdo
$\"+%o^Pf)Fdo$\"+#=+XI)Fdo$\"+gMpC!)Fdo$\"+]\\BcxFdo$\"+)R-+](Fdo$\"+I
$QiD(Fdo$\"+!)fzCqFdo$\"+mcH0oFdo$\"+Q\\A(f'Fdo$\"+iF++kFdo$\"+W0-8iFd
o$\"+3\"oc.'Fdo$\"+m(\\t'eFdo$\"+;R\\2dFdo7;$\"+!3)***>$F7$\"+#=tz*[Fd
o$\"++g++vFdo$\"+e7*)))))FdoF\\yFi[lF/$\"+!\\G3%**Fdo$\"+['=fz*Fdo$\"+
50++'*Fdo$\"+[2+v$*Fdo$\"+s!\\\\8*Fdo$\"+s+*)))))Fdo$\"+[1mU')Fdo$\"+K
:++%)Fdo$\"+#)pEj\")Fdo$\"+)4')Q$zFdo$\"+7tm7xFdo$\"+'*>++vFdo$\"+u?+'
H(Fdo$\"+_Qf+rFdo$\"+QCe8pFdo$\"+7hpMnFdo$\"+;qhjlFdo$\"++B++kFdo7;$\"
+C:aVFF7$\"+1N,vVFdo$\"+Eoe8pFdo$\"+sI++%)FdoF^yF[\\lFh^lF/$\"+7cbb**F
do$\"+'=]P%)*Fdo$\"+m;e)o*Fdo$\"+mL<1&*Fdo$\"+A*zuI*Fdo$\"+i3++\"*Fdo$
\"+-**))))))Fdo$\"+-rox')Fdo$\"+].\")o%)Fdo$\"+w-*QE)Fdo$\"+%[,S1)Fdo$
\"+cS#)pyFdo$\"+uuv\"o(Fdo$\"+7<++vFdo$\"+A`hCtFdo$\"+utbbrFdo$\"+!y<F
*pFdo7;$\"+S!****R#F7Fap$\"+1p++kFdo$\"+/z)Q$zFdo$\"+m1*)))))FdoF]\\l$
\"+Y'=fz*FdoFealF/$\"+kzRl**Fdo$\"+ULaw)*Fdo$\"+sFp](*Fdo$\"+#Q++g*Fdo
$\"+#42JV*Fdo$\"+'**)>c#*Fdo$\"+!yCP2*Fdo$\"+w(*))))))Fdo$\"+%*4+/()Fd
o$\"+]6r?&)Fdo$\"+AK>S$)Fdo$\"+klEj\")Fdo$\"+W))[!*zFdo$\"+9OAAyFdo$\"
+7.pewFdo$\"+'\\,+](Fdo7;$\"+AELL@F7$\"+#H7+g$Fdo$\"+)G?/&fFdoFevFby$
\"+)euO=*Fdo$\"+70++'*Fdo$\"+)=]P%)*Fdo$\"+izRl**FdoF/$\"+'>*Hs**Fdo$
\"+'4++!**Fdo$\"+a&=fz*Fdo$\"+w<Up'*Fdo$\"+-1TF&*Fdo$\"+)\\+]P*Fdo$\"+
+1+;#*Fdo$\"+O^D`!*Fdo$\"+y'*))))))Fdo$\"+o1\\C()Fdo$\"+uvBh&)Fdo$\"+A
5++%)Fdo$\"+!G;9C)Fdo$\"+Y'Qf3)Fdo$\"+)\\&)Q$zFdo7;$\"+h%***>>F7$\"+5o
z0LFdo$\"+iEcbbFdo$\"+'*ff+rFdo$\"+CyEj\")FdoFa\\lF^_l$\"+k;e)o*Fdo$\"
+WLaw)*Fdo$\"+)>*Hs**FdoF/$\"+)GCt(**Fdo$\"+[aN<**Fdo$\"+?y')H)*Fdo$\"
+YCAA(*Fdo$\"+5.++'*Fdo$\"+9gXn%*Fdo$\"+Uo%yK*Fdo$\"+GSn$=*Fdo$\"+;:'o
.*Fdo$\"+)f*))))))Fdo$\"+!o&*3u)Fdo$\"+U3v$f)Fdo$\"+S%=\"[%)Fdo$\"+E#*
\\/$)Fdo7;$\"+foKY<F7$\"+omcbIFdo$\"+ow52_FdoFivFfyFc\\l$\"+u!\\\\8*Fd
o$\"+oL<1&*FdoFfdlFcgl$\"+#GCt(**FdoF/$\"+Ek4\")**Fdo$\"+;cbI**Fdo$\"+
7,+c)*Fdo$\"+%y8Lw*Fdo$\"+=Z1d'*Fdo$\"+Wm\"3a*Fdo$\"+u1O<%*Fdo$\"+S$*)
))G*Fdo$\"+;&Gr:*Fdo$\"+%3QM-*Fdo$\"+M&*))))))Fdo$\"+mfKa()Fdo$\"+=*3/
i)Fdo7;$\"+z'****f\"F7$\"+isCSGFdo$\"+sh'z*[FdoF[w$\"++I++vFdo$\"+!=+X
I)FdoFb_l$\"+C*zuI*Fdo$\"+%Q++g*Fdo$\"+_&=fz*Fdo$\"+SaN<**Fdo$\"+Gk4\"
)**FdoF/$\"+7++%)**Fdo$\"+W%G3%**Fdo$\"+'HVl()*Fdo$\"+/&=fz*Fdo$\"+O]t
-(*Fdo$\"+c-++'*Fdo$\"+#y9,\\*Fdo$\"+u.+v$*Fdo$\"+#y)>c#*Fdo$\"+#e[\\8
*Fdo$\"+QaC7!*Fdo$\"+![*))))))Fdo7;$\"+kV=w9F7F[qF\\tF]w$\"+)*\\B(>(Fd
o$\"+eMpC!)Fdo$\"+Y1mU')FdoF_blFjdl$\"+u<Up'*Fdo$\"+=y')H)*Fdo$\"+9cbI
**Fdo$\"+;++%)**FdoF/$\"+#f#G')**Fdo$\"+G'z*[**Fdo$\"+;Y)H*)*Fdo$\"+MB
AA)*Fdo$\"+#[a)R(*Fdo$\"+9xV['*Fdo$\"+yh/]&*Fdo$\"+)4njW*Fdo$\"+oexQ$*
Fdo$\"+saRG#*Fdo$\"+GO9;\"*Fdo7;$\"+)39@P\"F7$\"+-&)*))[#FdoF^t$\"+9N:
8eFdo$\"+SNe8pFdo$\"+Y\\BcxFdo$\"+O:++%)Fdo$\"+1**))))))Fdo$\"+)**)>c#
*FdoFigl$\"+UCAA(*Fdo$\"+5,+c)*Fdo$\"+[%G3%**Fdo$\"+!f#G')**FdoF/$\"++
%4\"))**Fdo$\"+'ebb&**Fdo$\"+7wM1**Fdo$\"+%4]P%)*Fdo$\"+A<Vq(*Fdo$\"+!
\\\"e)o*Fdo$\"+=-++'*Fdo$\"+-J<1&*Fdo$\"+]vK3%*Fdo$\"+s&zuI*Fdo7;$\"+X
)***z7F7$\"+'=fPM#Fdo$\"+QdD_TFdoFawF^z$\"+'R-+](Fdo$\"+!)pEj\")Fdo$\"
+/rox')Fdo$\"+yZst!*FdoF[hl$\"+/.++'*Fdo$\"+#y8Lw*Fdo$\"+)HVl()*FdoFcb
m$\"+/%4\"))**FdoF/$\"+yTf*)**Fdo$\"+Av$4'**Fdo$\"+AaN<**Fdo$\"+u<fh)*
Fdo$\"+#[=fz*Fdo$\"+qBAA(*Fdo$\"+#pu?k*Fdo$\"+Gpyc&*Fdo$\"+')eXn%*Fdo7
;$\"+z)*R*>\"F7$\"+m;a9AFdo$\"+IPi]RFdo$\"+#Gk&=`Fdo$\"+aM++kFdoF]]l$
\"+'4')Q$zFdo$\"+[.\")o%)FdoF`elF]hlFjjl$\"+7Z1d'*FdoF^`m$\"+5Y)H*)*Fd
oFbemF[hmF/$\"+qs\"3***Fdo$\"+WzRl**Fdo$\"+c1`E**Fdo$\"+uKaw)*Fdo$\"+W
]Q<)*Fdo$\"+YEp](*Fdo$\"+#oVyn*Fdo$\"+%>++g*Fdo7;$\"+lp%)G6F7$\"+aQx)4
#FdoFdtFew$\"+]R!y;'FdoF_]l$\"+5tm7xFdo$\"+u-*QE)FdoFbel$\"+Q^D`!*Fdo$
\"+So%yK*Fdo$\"+Qm\"3a*FdoF``m$\"+OBAA)*Fdo$\"+9wM1**Fdo$\"+Cv$4'**Fdo
$\"+os\"3***FdoF/$\"+On$=***Fdo$\"+;e8p**Fdo$\"+='eU$**Fdo$\"+In>*))*F
do$\"+MXjN)*Fdo$\"+5,+v(*Fdo$\"+!)p]3(*Fdo7;$\"+%fmm1\"F7$\"+CzY%*>Fdo
Fft$\"+WQ'z*[FdoFdz$\"+ocH0oFdo$\"+%*>++vFdo$\"+'[,S1)FdoFdel$\"+w'*))
))))FdoF^[m$\"+o1O<%*FdoFb`mFibm$\"+'4]P%)*Fdo$\"+=aN<**FdoFbjmFi\\nF/
$\"+/ap#***Fdo$\"+!=*Hs**Fdo$\"+I%G3%**Fdo$\"+]+++**Fdo$\"+s!z7&)*Fdo$
\"+i%=fz*Fdo7;$\"+D:.65F7$\"+#y2+!>Fdo$\"+/!=nW$Fdo$\"+5%[2r%FdoFfz$\"
+U\\A(f'FdoF``lF[cl$\"+CK>S$)FdoFchl$\"+=:'o.*Fdo$\"+Y$*)))G*Fdo$\"+yZ
6!\\*Fdo$\"+7xV['*Fdo$\"+?<Vq(*Fdo$\"+w<fh)*Fdo$\"+a1`E**Fdo$\"+?e8p**
Fdo$\"++ap#***FdoF/$\"+!QDM***Fdo$\"+5++v**Fdo$\"+k/YY**Fdo$\"+#4(H4**
Fdo$\"+Q=zk)*Fdo7;$\"+1'*>&f*Ffn$\"+Xk19=Fdo$\"+k4z0LFdo$\"+kl'o`%FdoF
hz$\"+gF++kFdo$\"+aQf+rFdo$\"+suv\"o(FdoFhel$\"+wvBh&)Fdo$\"++'*))))))
Fdo$\"+7&Gr:*Fdo$\"+s.+v$*Fdo$\"+wh/]&*FdoFjem$\"+![=fz*Fdo$\"+wKaw)*F
doF]]n$\"+#=*Hs**Fdo$\"+#QDM***FdoF/$\"+k60%***Fdo$\"+sUKx**Fdo$\"+k]K
^**Fdo$\"+3aN<**Fdo7;$\"+so&G9*Ffn$\"+,WaN<Fdo$\"+%44e<$Fdo$\"+'\\/]P%
FdoFjz$\"+U0-8iFdo$\"+OCe8pFdo$\"+5<++vFdo$\"+U))[!*zFdoFghlFd[m$\"+'3
QM-*Fdo$\"+y()>c#*Fdo$\"+%4njW*FdoF\\fm$\"+sBAA(*Fdo$\"+[]Q<)*FdoF_]n$
\"+K%G3%**FdoFianFbdnF/$\"+w;f%***Fdo$\"+a)Q$z**Fdo$\"+wbbb**Fdo7;$\"+
A*3Hs)Ffn$\"+II_j;FdoF^uF_x$\"+GT52_FdoFi]lFf`l$\"+?`hCtFdoF\\flFihl$
\"+W3v$f)Fdo$\"+K&*))))))Fdo$\"+'e[\\8*Fdo$\"+uexQ$*Fdo$\"+/J<1&*Fdo$
\"+%pu?k*Fdo$\"+[Ep](*Fdo$\"+KXjN)*Fdo$\"+[+++**Fdo$\"+m/YY**FdoFddn$
\"+u;f%***FdoF/$\"+I<1&***Fdo$\"+=k4\")**Fdo7;$\"+=***>N)Ffn$\"+Z*Gsf
\"Fdo$\"+7a+WHFdo$\"+-Y%G3%FdoF^[l$\"+o(\\t'eFdoFh`l$\"+stbbrFdoF^flF[
il$\"+Q%=\"[%)Fdo$\"+ifKa()FdoF\\am$\"+qaRG#*FdoF`fmFihm$\"+%oVyn*Fdo$
\"+1,+v(*FdoFd_n$\"+%4(H4**Fdo$\"+i]K^**Fdo$\"+])Q$z**FdoF\\inF/$\"+mI
Z&***Fdo7;$\"+!****R+)Ffn$\"+-l+O:Fdo$\"+o>CSGFdo$\"+%e@1&RFdoF`[l$\"+
=R\\2dFdoFj`lFecl$\"+%\\,+](Fdo$\"+%\\&)Q$zFdoFj[mFa^m$\"+#[*))))))Fdo
$\"+IO9;\"*FdoFbfm$\"+%)eXn%*Fdo$\"+#>++g*Fdo$\"+wp]3(*Fdo$\"+g%=fz*Fd
o$\"+S=zk)*FdoFhdnF[gn$\"+;k4\")**Fdo$\"+oIZ&***FdoF/-%*AXESSTYLEG6#%$
BOXG-%+AXESLABELSG6%%#m1G%#m2GQ!6\"-%+PROJECTIONG6%$\"#?F,$\"#!)F,F(" 
1 2 0 1 10 0 2 1 1 2 2 1.000000 80.000000 20.000000 1 0 "Curve 1" }}}}
{PARA 11 "" 1 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 130 "P_transfer_ratio;simplify(%);\nplot3d(P_transfer_ratio,m1=1e-6.
.5,m2=1e-6..5,axes=boxed,orientation=[-15,70],style=patchcontour);\n\n
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(,&*(%#m1G\"\"\",&*&%$v1iGF(%#m
2GF(!\"\"*&F'F(F+F(F(F(,&F,F(F'F(F-F(F.F-F(F'F-F+F-F-" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#,$*(\"\"#\"\"\"%#m2GF&,&F'F&%#m1GF&!\"\"F&" }}
{PARA 13 "" 1 "" {GLPLOT3D 604 604 604 {PLOTDATA 3 "6'-%%GRIDG6%;$\"\"
\"!\"'$\"\"&\"\"!F&7;7;$\"+++++5!\"*$\"++/****>F1$\"++_****>F1$\"++o**
**>F1$\"++w****>F1$\"+!3)****>F1$\"++%)****>F1$\"+H')****>F1$\"++))***
*>F1$\"+L*)****>F1$\"+S!*****>F1$\"+F\"*****>F1$\"++#*****>F1$\"+i#***
**>F1$\"+9$*****>F1$\"+g$*****>F1$\"++%*****>F1$\"+N%*****>F1$\"+n%***
**>F1$\"+&\\*****>F1$\"+?&*****>F1$\"+V&*****>F1$\"+k&*****>F1$\"+$e**
***>F1$\"++'*****>F17;$\"+Re&**f*!#:F/$\"+nALL8F1$\"++))***\\\"F1$\"+[
))***f\"F1$\"++cmm;F1$\"+MZG9<F1$\"++\"***\\<F1$\"+[pxx<F1$\"+K#****z
\"F1$\"+/6===F1$\"+mELL=F1$\"+@K:Y=F1$\"+pA9d=F1$\"+7hmm=F1$\"+v%**\\(
=F1$\"+VCN#)=F1$\"+:%)))))=F1$\"+!ROZ*=F1$\"+o&*****=F1$\"+\"\\hZ!>F1$
\"+7044>F1$\"+(4VI\">F1$\"++jm;>F1$\"+Z'***>>F17;$\"+R%*)**z%F_o$\"+Mt
nmm!#5F/$\"+;'****>\"F1$\"++GLL8F1$\"+T3dG9F1$\"++%****\\\"F1$\"+j\\bb
:F1$\"+C%****f\"F1$\"+\"3jjj\"F1$\"+Mhmm;F1$\"+#=2Bp\"F1$\"+D_G9<F1$\"
+kGLL<F1$\"+]&***\\<F1$\"+^aqk<F1$\"+jtxx<F1$\"+&Gt%*y\"F1$\"+;'****z
\"F1$\"+SM_4=F1$\"+h9===F1$\"+7m3E=F1$\"++ILL=F1$\"+y'***R=F1$\"+MN:Y=
F17;$\"+>b***>$F_o$\"+,?,+]Fcr$\"+RQ++!)FcrF/$\"+Zp&G9\"F1$\"++(***\\7
F1$\"+yHLL8F1$\"+;'****R\"F1$\"+e]aa9F1$\"++'****\\\"F1$\"+T6YQ:F1$\"+
!=G9d\"F1$\"+;'****f\"F1$\"+E'**\\i\"F1$\"+f%eqk\"F1$\"+6jmm;F1$\"+\"=
5Uo\"F1$\"+l'****p\"F1$\"+*Q&G9<F1$\"+5CFF<F1$\"+F,8R<F1$\"++(***\\<F1
$\"+4(***f<F1$\"+'[I#p<F1$\"+,vxx<F17;$\"++w***R#F_o$\"+;:,+SFcr$\"+**
>nmmFcr$\"+I0Vr&)FcrF/$\"+#*4666F1$\"+3)****>\"F1$\"+Nqss7F1$\"+mILL8F
1$\"++^h%Q\"F1$\"+M6dG9F1$\"+ojmm9F1$\"++(****\\\"F1$\"+m9TH:F1$\"+f_b
b:F1$\"+wq%*y:F1$\"+7(****f\"F1$\"+Ot/>;F1$\"+fLOO;F1$\"+UO<_;F1$\"++k
mm;F1$\"+R(***z;F1$\"+PuI#p\"F1$\"+aMq.<F1$\"+paG9<F17;$\"+T&)**>>F_o$
\"+.SMLLFcr$\"+$f\"H9dFcr$\"+-I++vFcr$\"+w+*)))))FcrF/$\"+7!444\"F1$\"
+Llmm6F1$\"+h!p2B\"F1$\"+!49dG\"F1$\"+?JLL8F1$\"+w(**\\P\"F1$\"+uWw69F
1$\"+3UWW9F1$\"+sRot9F1$\"+h(****\\\"F1$\"+&G4Q_\"F1$\"+3VXX:F1$\"+cr@
l:F1$\"+,JL$e\"F1$\"+q(****f\"F1$\"+*Q%Q:;F1$\"+1%H'H;F1$\"+Bp&Gk\"F1$
\"+(>s^l\"F17;$\"+S!****f\"F_o$\"+bE:dGFcr$\"+,g++]Fcr$\"+A-nmmFcr$\"+
?>++!)Fcr$\"+\"))444*FcrF/$\"+?I#p2\"F1$\"+Xq&G9\"F1$\"+s)****>\"F1$\"
+])***\\7F1$\"+\"[<TH\"F1$\"+cJLL8F1$\"+n3Uo8F1$\"+3)****R\"F1$\"+L7dG
9F1$\"+d_aa9F1$\"+r1Ey9F1$\"+,)****\\\"F1$\"+,)***>:F1$\"+S8YQ:F1$\"+f
`bb:F1$\"+w$G9d\"F1$\"+.n?'e\"F1$\"+3)****f\"F17;$\"+0zUr8F_o$\"++!4+]
#Fcr$\"+m.XWWFcr$\"+QQ++gFcr$\"+_'HFF(Fcr$\"+hYLL$)Fcr$\"+)zp2B*FcrF/$
\"+Cmmm5F1$\"+D***\\7\"F1$\"+*[qk<\"F1$\"+/@AA7F1$\"+ix:j7F1$\"+c)****
H\"F1$\"+#=LLL\"F1$\"+0ijj8F1$\"+&=/8R\"F1$\"+,lm;9F1$\"+K)***R9F1$\"+
\"HQ:Y\"F1$\"+68[\"[\"F1$\"+H)****\\\"F1$\"+37C<:F1$\"+jJLL:F1$\"+FpQ[
:F17;$\"+?&****>\"F_o$\"+A0BAAFcr$\"+ed++SFcr$\"+?%\\XX&Fcr$\"+J$pmm'F
cr$\"+%R4Bp(Fcr$\"+_&H9d)Fcr$\"+dPLL$*FcrF/$\"+'\\B)e5F1$\"+_5666F1$\"
+dY*y:\"F1$\"+/*****>\"F1$\"+I^4Q7F1$\"+arss7F1$\"++xM/8F1$\"++KLL8F1$
\"+i)***f8F1$\"+V_h%Q\"F1$\"+jsS29F1$\"+#Gr&G9F1$\"+9dF[9F1$\"+=lmm9F1
$\"+=3(Q[\"F1$\"+^)****\\\"F17;$\"+6jmm5F_o$\"+zw++?Fcr$\"+'=pjj$Fcr$
\"+(*R++]Fcr$\"+\"**[Q:'Fcr$\"+)4fG9(Fcr$\"+w7++!)Fcr$\"+[2+]()Fcr$\"+
R]w6%*FcrF/$\"+`:j_5F1$\"+_*****4\"F1$\"+yq&G9\"F1$\"+-\"===\"F1$\"+97
R<7F1$\"++****\\7F1$\"+$*)***z7F1$\"+%>#p28F1$\"+:KLL8F1$\"+NF9d8F1$\"
+>-Jz8F1$\"+s)****R\"F1$\"+4ZN>9F1$\"+p)*\\P9F1$\"+A`aa9F17;$\"+1t***f
*!#;$\"+g*)===Fcr$\"+g'QLL$Fcr$\"+)e)Q:YFcr$\"+\\')G9dFcr$\"+&zomm'Fcr
$\"+&\\,+](Fcr$\"+6^HN#)Fcr$\"+\"[*))))))Fcr$\"+xWot%*FcrF/$\"+E!>w/\"
F1$\"+^!444\"F1$\"+GZVI6F1$\"++mmm6F1$\"+B*****>\"F1$\"+Y\"p2B\"F1$\"+
n\"f#f7F1$\"+)=9dG\"F1$\"+DZM58F1$\"+FKLL8F1$\"++'Q[N\"F1$\"+)))**\\P
\"F1$\"+!GRRR\"F1$\"+!fk<T\"F17;$\"+e1FF()Fjjl$\"+MLnm;Fcr$\"+&=Gp2$Fc
r$\"++#=dG%Fcr$\"+=jLL`Fcr$\"+YA+]iFcr$\"+'=D)eqFcr$\"+g*yxx(Fcr$\"+EM
0@%)Fcr$\"+![+++*Fcr$\"+U(4Q_*FcrF/$\"+V#yM/\"F1$\"++LL$3\"F1$\"+a****
>6F1$\"+(4YQ:\"F1$\"+>^=&=\"F1$\"+TcG97F1$\"+J#z8C\"F1$\"+#emmE\"F1$\"
+\"\\A.H\"F1$\"+2**\\78F1$\"+OKLL8F1$\"+x5%HN\"F1$\"+q%G9P\"F17;$\"+%R
)****zFjjl$\"+(yn%Q:Fcr$\"+]x9dGFcr$\"+PQ++SFcr$\"++I++]Fcr$\"+j_N#)eF
cr$\"+T%omm'Fcr$\"+!QA%otFcr$\"+e4++!)Fcr$\"+B#H9d)Fcr$\"+([444*Fcr$\"
+rv@l&*FcrF/$\"+&)****R5F1$\"+\\I#p2\"F1$\"+s5666F1$\"+%4dG9\"F1$\"+OP
Ts6F1$\"+O*****>\"F1$\"+#Q1eA\"F1$\"+D****\\7F1$\"+%>FFF\"F1$\"+kv6%H
\"F1$\"+GcG98F1$\"+XKLL8F17;$\"+HTh%Q(Fjjl$\"+3tdG9Fcr$\"+c8nmEFcr$\"+
\\P+]PFcr$\"+T`)eq%Fcr$\"+?zbbbFcr$\"+K8z:jFcr$\"+P9++qFcr$\"+2([!>wFc
r$\"+t*===)Fcr$\"+>Fl&p)Fcr$\"+)*pmm\"*Fcr$\"+a,++'*FcrF/$\"+Cq.P5F1$
\"+Z&G92\"F1$\"+U#[M5\"F1$\"+\"HLL8\"F1$\"+t-Hh6F1$\"+W**\\(=\"F1$\"+]
6777F1$\"+^SHN7F1$\"+(yUrD\"F1$\"+/xxx7F1$\"+?sH(H\"F17;$\"+r=9doFjjl$
\"+\"))QLL\"Fcr$\"+(\\/+]#Fcr$\"+<aTHNFcr$\"+/uWWWFcr$\"+%GgJE&Fcr$\"+
:>++gFcr$\"+*=omm'Fcr$\"+i%GFF(Fcr$\"+iy3EyFcr$\"+)*RLL$)Fcr$\"+h/++))
Fcr$\"+9&p2B*Fcr$\"+g(H'H'*FcrF/$\"+ZF[M5F1$\"+Xmmm5F1$\"+kTx'4\"F1$\"
+j***\\7\"F1$\"+2^^^6F1$\"+Q0Zw6F1$\"+X*****>\"F1$\"+j@AA7F1$\"+!=VKC
\"F1$\"+Gy:j7F17;$\"+E#****R'Fjjl$\"+]_+]7Fcr$\"+\"\\XHN#Fcr$\"+')oLLL
Fcr$\"+Q#H0@%Fcr$\"+(R-++&Fcr$\"+qwG9dFcr$\"+ZzjjjFcr$\"+3I_cpFcr$\"++
5++vFcr$\"+n2++!)Fcr$\"+G!R:Y)Fcr$\"+$G*))))))Fcr$\"+JXr&G*Fcr$\"+GD<b
'*FcrF/$\"+b!eA.\"F1$\"+\")**\\i5F1$\"+l!444\"F1$\"+Eqk<6F1$\"+/r&G9\"
F1$\"+Ammm6F1$\"+S\"*=*=\"F1$\"+ji_57F1$\"+u\"p2B\"F17;$\"+%R**H+'Fjjl
$\"+nbZw6Fcr$\"+njAAAFcr$\"+#>)*y:$Fcr$\"+xG++SFcr$\"+^r!>w%Fcr$\"+Nua
aaFcr$\"+`\"ep3'Fcr$\"+(*zmmmFcr$\"+t5++sFcr$\"+T&3Bp(Fcr$\"+0)[\"[\")
Fcr$\"+h!H9d)Fcr$\"+$e<b'*)Fcr$\"+XNLL$*Fcr$\"+c%>un*FcrF/$\"+AIII5F1$
\"+8N#)e5F1$\"+iUr&3\"F1$\"+\"3666\"F1$\"++^8N6F1$\"+(p%*y:\"F1$\"+Nr[
z6F1$\"+_*****>\"F17;$\"+B[BWcFjjl$\"+ae666Fcr$\"+TrE0@Fcr$\"+eL++IFcr
$\"+Pm_4QFcr$\"+?pXXXFcr$\"+)H$R<_Fcr$\"+)*\\LLeFcr$\"+z8++kFcr$\"+d!y
I#pFcr$\"+G$3uS(Fcr$\"+!fVr&yFcr$\"+RE'eF)Fcr$\"+#4nmm)Fcr$\"+k$eA.*Fc
r$\"+(=+]P*Fcr$\"+&yppp*FcrF/$\"+@9dG5F1$\"+Tbbb5F1$\"+g53\"3\"F1$\"+J
JE06F1$\"+(40#G6F1$\"+k****\\6F1$\"+n;tq6F17;$\"+R'**fL&Fjjl$\"+*4OE0
\"Fcr$\"+QQ++?Fcr$\"+Ch9dGFcr$\"+5kOOOFcr$\"+W%GyM%Fcr$\"+(*>++]Fcr$\"
+(o,+g&Fcr$\"+tv%Q:'Fcr$\"+]ymmmFcr$\"+A\"eG9(Fcr$\"+%p2ie(Fcr$\"+R1++
!)Fcr$\"+ss4(Q)Fcr$\"+t.+]()Fcr$\"+b$444*Fcr$\"+s[w6%*Fcr$\"+$z&G9(*Fc
rF/$\"+?q-F5F1$\"+m:j_5F1$\"+eI#p2\"F1$\"+w*****4\"F1$\"+\">^>7\"F1$\"
+5r&G9\"F17;$\"+Bw:b]Fjjl$\"+CV++5Fcr$\"+-cw/>Fcr$\"+**eFFFFcr$\"+#fj#
yMFcr$\"+'**om;%Fcr$\"+$*>++[Fcr$\"+&3<YQ&Fcr$\"+tt#f#fFcr$\"+_EdGkFcr
$\"+\\Fb'*oFcr$\"+&=MLL(Fcr$\"+#=O>u(Fcr$\"+h0+D\")Fcr$\"+C*[[[)Fcr$\"
+W(HN#))Fcr$\"+xt&G9*Fcr$\"+#fWWW*Fcr$\"++)H(H(*FcrF/$\"+>5kD5F1$\"+))
****\\5F1$\"+:2<t5F1$\"+t!Q_4\"F1$\"+W!zi6\"F17;$\"+.)*R-[Fjjl$\"+'*3&
Q_*!#6$\"+&Q&===Fcr$\"+N()p3EFcr$\"+(*fLLLFcr$\"+'H-++%Fcr$\"+(f'Q:YFc
r$\"+#*o=&=&Fcr$\"+\"=(G9dFcr$\"+0y*o?'Fcr$\"+KxmmmFcr$\"+\"4vn4(Fcr$
\"+[2++vFcr$\"+%\\)yyyFcr$\"+9YHN#)Fcr$\"+i*G9d)Fcr$\"+%=*))))))Fcr$\"
++%*=*=*Fcr$\"+WVot%*Fcr$\"+2)*eV(*FcrF/$\"+Q-RC5F1$\"+P!>w/\"F1$\"+Eu
wp5F1$\"+r!444\"F17;$\"+]TrtXFjjl$\"+\"y[44*Fgin$\"+!)Q8R<Fcr$\"+)*H++
DFcr$\"+4E++KFcr$\"+9h:YQFcr$\"+;kWWWFcr$\"+7<++]Fcr$\"+iGC<bFcr$\"+!G
,++'Fcr$\"+)*Rh^kFcr$\"+O4+voFcr$\"+l!GFF(Fcr$\"+([fqk(Fcr$\"+\\0++!)F
cr$\"+yPLL$)Fcr$\"+)**['[')Fcr$\"+(oot%*)Fcr$\"+>%p2B*Fcr$\"+?,++&*Fcr
$\"+>w4c(*FcrF/$\"+4eDB5F1$\"+OXXX5F1$\"+_mmm5F17;$\"+(4=eO%Fjjl$\"+/.
p&p)Fgin$\"+(**pmm\"Fcr$\"+9H++CFcr$\"+Jc#p2$Fcr$\"+Qfq.PFcr$\"+Uir&G%
Fcr$\"+=zeF[Fcr$\"+C[LL`Fcr$\"+4HX1eFcr$\"+C6+]iFcr$\"+MwmmmFcr$\"+eV#
)eqFcr$\"+K@dGuFcr$\"+q$yxx(Fcr$\"+*f3\"3\")Fcr$\"+II0@%)Fcr$\"+K!\\zr
)Fcr$\"+S-++!*Fcr$\"+`GHo#*Fcr$\"+K'4Q_*Fcr$\"+6>Wn(*FcrF/$\"+<AAA5F1$
\"+_#yM/\"F17;$\"+Yg#=<%Fjjl$\"+\"**pLL)Fgin$\"+AK++;Fcr$\"+W^p2BFcr$
\"+ia'H'HFcr$\"+s2VrNFcr$\"+tH$z8%Fcr$\"+r$omm%Fcr$\"+>=Hh^Fcr$\"+48+D
cFcr$\"+0sgggFcr$\"+H#*eqkFcr$\"+<P9doFcr$\"+iHAAsFcr$\"+)>ovc(Fcr$\"+
stt%*yFcr$\"+Z'G^?)Fcr$\"+f.++&)Fcr$\"+*3)[!y)Fcr$\"+k#>w/*Fcr$\"+QdK-
$*Fcr$\"+WYXX&*Fcr$\"+Dyxx(*FcrF/$\"+\"fw7-\"F17;$\"+&*******RFjjl$\"+
I`.+!)Fgin$\"+gYYQ:Fcr$\"+&)\\AAAFcr$\"+0`9dGFcr$\"+G!y#[MFcr$\"+<>++S
Fcr$\"+F28;XFcr$\"+)\\,++&Fcr$\"+tnaaaFcr$\"+,TN#)eFcr$\"++`r&G'Fcr$\"
+cvmmmFcr$\"+)zFq-(Fcr$\"+<<UotFcr$\"+f#3Bp(Fcr$\"+y/++!)Fcr$\"+ELo#H)
Fcr$\"+)*)G9d)Fcr$\"+h&4s$))Fcr$\"+*G444*Fcr$\"+vMLL$*Fcr$\"+$[<_c*Fcr
$\"+'3Msy*FcrF/-%*AXESSTYLEG6#%$BOXG-%&STYLEG6#%-PATCHCONTOURG-%+AXESL
ABELSG6%%#m1G%#m2GQ!6\"-%+PROJECTIONG6%$F_oF,$\"#qF,F(" 1 4 0 1 10 0 
2 1 1 2 2 1.000000 70.000000 -15.000000 1 0 "Curve 1" }}}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "17 0 0" 0 }{VIEWOPTS 1 
1 0 3 2 1804 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }