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fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p
delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M}
B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{
p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S
rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end

%%EndProcSet
%%BeginProcSet: alt-rule.pro
%!
% Patch by TVZ
% Makes dvips files draw rules with stroke rather than fill.
% Makes narrow rules more predictable at low resolutions
% after distilling to PDF.
% May have unknown consequences for very thick rules.
% Tested only with dvips 5.85(k).
TeXDict begin
/QV {
  gsave newpath /ruleY X /ruleX X
  Rx Ry gt
  { ruleX ruleY Ry 2 div sub moveto Rx 0 rlineto Ry }
  { ruleX Rx 2 div add ruleY moveto 0 Ry neg rlineto Rx }
  ifelse
  setlinewidth 0 setlinecap stroke grestore
} bind def
end

%%EndProcSet
%%BeginProcSet: texc.pro
%!
/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
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mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0
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%%EndProcSet
%%BeginProcSet: psfrag.pro
%%
%% This is file `psfrag.pro',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% psfrag.dtx  (with options: `filepro')
%% 
%% Copyright (c) 1996 Craig Barratt, Michael C. Grant, and David Carlisle.
%% All rights reserved.
%% 
%% This file is part of the PSfrag package.
%% 
userdict begin
/PSfragLib 90 dict def
/PSfragDict 6 dict def
/PSfrag { PSfragLib begin load exec end } bind def
end
PSfragLib begin
/RO /readonly      load def
/CP /currentpoint  load def
/CM /currentmatrix load def
/B { bind RO def } bind def
/X { exch def } B
/MD { { X } forall } B
/OE { end exec PSfragLib begin } B
/S false def
/tstr 8 string def
/islev2 { languagelevel } stopped { false } { 2 ge } ifelse def
[ /sM /tM /srcM /dstM /dM /idM /srcFM /dstFM ] { matrix def } forall
sM currentmatrix RO pop
dM defaultmatrix RO idM invertmatrix RO pop
srcFM identmatrix pop
/Hide { gsave { CP } stopped not newpath clip { moveto } if } B
/Unhide { { CP } stopped not grestore { moveto } if } B
/setrepl islev2 {{ /glob currentglobal def true setglobal array astore
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                {{ array astore /PSfrags X }} ifelse B
/getrepl islev2 {{ globaldict /PSfrags get aload length }}
                {{ PSfrags aload length }} ifelse B
/convert {
   /src X src length string
   /c 0 def src length {
      dup c src c get dup 32 lt { pop 32 } if put /c c 1 add def
   } repeat
} B
/Begin {
    /saver save def
    srcFM exch 3 exch put
    0 ne /debugMode X 0 setrepl
    dup /S exch dict def { S 3 1 roll exch convert exch put } repeat
    srcM CM dup invertmatrix pop
    mark { currentdict { end } stopped { pop exit } if } loop
    PSfragDict counttomark { begin } repeat pop
} B
/End {
    mark { currentdict end dup PSfragDict eq { pop exit } if } loop
    counttomark { begin } repeat pop
    getrepl saver restore
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        6 array astore /mtrx X tstr cvs /K X
        S K [ S K known { S K get aload pop } if mtrx ] put
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} B
/Place {
    tstr cvs /K X
    S K known {
        bind /proc X tM CM pop
        CP /cY X /cX X
        0 0 transform idtransform neg /aY X neg /aX X
        S K get dup length /maxiter X
        /iter 1 def {
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    } {
        Hide OE Unhide
    } ifelse
} B
/normalize {
    2 index dup mul 2 index dup mul add sqrt div
    dup 4 -1 roll exch mul 3 1 roll mul
} B
/replace {
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    CP /bY X /lX X gsave sM setmatrix
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        { pop } { 360 exch div dup scale } ifelse
    lX neg bY neg translate newpath lX bY moveto
    str { /ch X ( ) dup 0 ch put false charpath ch Kproc } forall
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    CP grestore moveto
    currentfont /FontMatrix get dstFM copy dup
    0 get 0 lt { uX lX /uX X /lX X } if
    3 get 0 lt { uY lY /uY X /lY X } if
    /cX uX lX add 0.5 mul def
    /cY uY lY add 0.5 mul def
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        lX bY moveto uX bY lineto lX cY moveto uX cY lineto
        cX lY moveto cX uY lineto stroke
    grestore } if
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    2 { dstM concatmatrix } repeat pop
    getrepl /temp X
        S str convert get {
            aload pop [ /rot /scl /loc /K ] MD
            /aX cX def /aY cY def
            loc {
                dup 66  eq { /aY bY def } { % B
                dup 98  eq { /aY lY def } { % b
                dup 108 eq { /aX lX def } { % l
                dup 114 eq { /aX uX def } { % r
                dup 116 eq { /aY uY def }   % t
                if } ifelse } ifelse } ifelse } ifelse pop
            } forall
            K srcFM rot tM rotate dstM
            2 { tM concatmatrix } repeat aload pop pop pop
            2 { scl normalize 4 2 roll } repeat
            aX aY transform
            /temp temp 7 add def
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    temp setrepl
} B
/Rif {
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} B
/XA { bind [ /Kproc /str } B /XC { ] 2 array astore def } B
/xs   { pop } XA XC
/xks  { /kern load OE } XA /kern XC
/xas  { pop ax ay rmoveto } XA /ay /ax XC
/xws  { c eq { cx cy rmoveto } if } XA /c /cy /cx XC
/xaws { ax ay rmoveto c eq { cx cy rmoveto } if }
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/raws { xaws { awidthshow } Rif } B
/rws  { xws { widthshow } Rif } B
/rks  { xks { kshow } Rif } B
/ras  { xas { ashow } Rif } B
/rs   { xs { show } Rif } B
/rrs { getrepl dup 2 add -1 roll //restore exec setrepl } B
PSfragDict begin
islev2 not { /restore { /rrs PSfrag } B } if
/show       { /rs   PSfrag } B
/kshow      { /rks  PSfrag } B
/ashow      { /ras  PSfrag } B
/widthshow  { /rws  PSfrag } B
/awidthshow { /raws PSfrag } B
end PSfragDict RO pop
end

%%EndProcSet
%%BeginProcSet: texps.pro
%!
TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2
index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll
exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]/Metrics
exch def dict begin Encoding{exch dup type/integertype ne{pop pop 1 sub
dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def}
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end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{
dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1
roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def
dup[exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}
if}forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}
def end

%%EndProcSet
%%BeginProcSet: special.pro
%!
TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
/vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N
/rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
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/urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known
{userdict/md get type/dicttype eq{userdict begin md length 10 add md
maxlength ge{/md md dup length 20 add dict copy def}if end md begin
/letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S
atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{
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transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll
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90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get
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1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr
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currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts
/psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x
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TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def
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newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto
closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N
/@beginspecial{SDict begin/SpecialSave save N gsave normalscale
currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N}
N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs
neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate
rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse
scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg
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ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N
/setpagedevice{pop}N/copypage{}N newpath}N/@endspecial{count ocount sub{
pop}repeat countdictstack dcount sub{end}repeat grestore SpecialSave
restore end}N/@defspecial{SDict begin}N/@fedspecial{end}B/li{lineto}B
/rl{rlineto}B/rc{rcurveto}B/np{/SaveX currentpoint/SaveY X N 1
setlinecap newpath}N/st{stroke SaveX SaveY moveto}N/fil{fill SaveX SaveY
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matrix currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc
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%%EndProcSet
%%BeginProcSet: color.pro
%!
TeXDict begin/setcmykcolor where{pop}{/setcmykcolor{dup 10 eq{pop
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/TeXcolorrgb{setrgbcolor}def/TeXcolorgrey{setgray}def/TeXcolorgray{
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known{pop pop}{X}ifelse}B/GreenYellow{0.15 0 0.69 0 setcmykcolor}DC
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setcmykcolor}DC/Peach{0 0.50 0.70 0 setcmykcolor}DC/Melon{0 0.46 0.50 0
setcmykcolor}DC/YellowOrange{0 0.42 1 0 setcmykcolor}DC/Orange{0 0.61
0.87 0 setcmykcolor}DC/BurntOrange{0 0.51 1 0 setcmykcolor}DC
/Bittersweet{0 0.75 1 0.24 setcmykcolor}DC/RedOrange{0 0.77 0.87 0
setcmykcolor}DC/Mahogany{0 0.85 0.87 0.35 setcmykcolor}DC/Maroon{0 0.87
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0 1 1 0 setcmykcolor}DC/OrangeRed{0 1 0.50 0 setcmykcolor}DC/RubineRed{
0 1 0.13 0 setcmykcolor}DC/WildStrawberry{0 0.96 0.39 0 setcmykcolor}DC
/Salmon{0 0.53 0.38 0 setcmykcolor}DC/CarnationPink{0 0.63 0 0
setcmykcolor}DC/Magenta{0 1 0 0 setcmykcolor}DC/VioletRed{0 0.81 0 0
setcmykcolor}DC/Rhodamine{0 0.82 0 0 setcmykcolor}DC/Mulberry{0.34 0.90
0 0.02 setcmykcolor}DC/RedViolet{0.07 0.90 0 0.34 setcmykcolor}DC
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0.79 0.88 0 0 setcmykcolor}DC/RoyalPurple{0.75 0.90 0 0 setcmykcolor}DC
/BlueViolet{0.86 0.91 0 0.04 setcmykcolor}DC/Periwinkle{0.57 0.55 0 0
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0 0 setcmykcolor}DC/Cyan{1 0 0 0 setcmykcolor}DC/ProcessBlue{0.96 0 0 0
setcmykcolor}DC/SkyBlue{0.62 0 0.12 0 setcmykcolor}DC/Turquoise{0.85 0
0.20 0 setcmykcolor}DC/TealBlue{0.86 0 0.34 0.02 setcmykcolor}DC
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setcmykcolor}DC/Emerald{1 0 0.50 0 setcmykcolor}DC/JungleGreen{0.99 0
0.52 0 setcmykcolor}DC/SeaGreen{0.69 0 0.50 0 setcmykcolor}DC/Green{1 0
1 0 setcmykcolor}DC/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}DC
/PineGreen{0.92 0 0.59 0.25 setcmykcolor}DC/LimeGreen{0.50 0 1 0
setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{
0.26 0 0.76 0 setcmykcolor}DC/OliveGreen{0.64 0 0.95 0.40 setcmykcolor}
DC/RawSienna{0 0.72 1 0.45 setcmykcolor}DC/Sepia{0 0.83 1 0.70
setcmykcolor}DC/Brown{0 0.81 1 0.60 setcmykcolor}DC/Tan{0.14 0.42 0.56 0
setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1
setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end

%%EndProcSet
TeXDict begin @defspecial

 TeXDict begin /landplus90{true}store end
 
@fedspecial end
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 50 /two put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
/UniqueID 5000791 def
currentdict end
currentfile eexec
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%%EndFont 
%%BeginFont: CMMI12
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%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
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readonly def
/FontBBox{-30 -250 1026 750}readonly def
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currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
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dup 61 /equal put
dup 80 /P put
dup 83 /S put
dup 97 /a put
dup 99 /c put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 112 /p put
dup 114 /r put
dup 115 /s put
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readonly def
/FontBBox{-34 -251 988 750}readonly def
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currentdict end
currentfile eexec
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%%Trailer
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%%EndDocument
 @endspecial 35 5023 a(The)h(do)r(cumen)n(t)h(can)f(b)r(e)h(pro)r
(cessed)f(b)r(oth)h(b)n(y)g Fc(latex)e Fd(and)h Fc(pdflatex)p
Fd(.)1929 5723 y(1)p eop
%%Trailer
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%%EOF