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/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore }
def
/NArray { aload length 2 div dup dup cvi eq not { exch pop } if /n exch
cvi def } def
/NArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop } if
f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def
/Line { NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub
def n { Lineto } repeat CP 4 2 roll ArrowB L pop pop } if } def
/Arcto { /a [ 6 -2 roll ] cvx def a r /arcto load stopped { 5 } { 4 }
ifelse { pop } repeat a } def
/CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
and { pop pop /n n 1 sub def } if } def
/Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop }
repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1
ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1
moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto
Lineto pop pop closepath } ifelse } def
/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth
def } def
/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth
def } def
/CC { /l0 l1 def /x1 x dx sub def /y1 y dy sub def /dx0 dx1 def /dy0 dy1
def CCA /dx dx0 l1 c exp mul dx1 l0 c exp mul add def /dy dy0 l1 c exp
mul dy1 l0 c exp mul add def /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos
abs b exp a mul dx dy Pyth Div 2 div def /x2 x l0 dx mul m mul sub def
/y2 y l0 dy mul m mul sub def /dx l1 dx mul m mul neg def /dy l1 dy mul
m mul neg def } def
/IC { /c c 1 add def c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if }
ifelse /a a 2 mul 3 div 45 cos b exp div def CCA /dx 0 def /dy 0 def }
def
/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
/NC { CC x1 y1 x2 y2 x y curveto } def
/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
/NAC { x2 y2 x y curveto CC x1 y1 } def
/EAC { x2 y2 x y ArrowB curveto pop pop } def
/OpenCurve { NArray n 3 lt { n { pop pop } repeat } { BOC /n n 3 sub def
n { NC } repeat EOC } ifelse } def
/AltCurve { { false NArray n 2 mul 2 roll [ n 2 mul 3 sub 1 roll ] aload
/Points ED n 2 mul -2 roll } { false NArray } ifelse n 4 lt { n { pop
pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse } def
/ClosedCurve { NArray n 3 lt { n { pop pop } repeat } { n 3 gt {
CheckClosed } if 6 copy n 2 mul 6 add 6 roll IC CC x y moveto n { NC }
repeat closepath pop pop } ifelse } def
/EndDot { { /z DS def } { /z 0 def } ifelse /b ED 0 z DS SD b { 0 z DS
CLW sub SD } if 0 DS z add CLW 4 div sub moveto } def
/Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto
x1 y1 lineto closepath } def
/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div
exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse
/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto
x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath }
ifelse } def
/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add
/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
pop pop Rect } { OvalFrame } ifelse } def
/Parab { /y0 exch def /x0 exch def /y1 exch def /x1 exch def /dx x0 x1
sub 3 div def /dy y0 y1 sub 3 div def x0 dx sub y0 dy add x1 y1 ArrowA
x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB curveto /Points [ x1 y1 x0
y0 x0 2 mul x1 sub y1 ] def } def
/Grid { /a 4 string def /b ED /d ED /n ED cvi dup 1 lt { pop 1 } if /c ED
c div dup 0 eq { pop 1 } if /cy ED c div dup 0 eq { pop 1 } if /cx ED cy
div cvi /y ED cx div cvi /x ED cy div cvi /y2 ED cx div cvi /x2 ED cy
div cvi /y1 ED cx div cvi /x1 ED /h y2 y1 sub 0 gt { 1 } { -1 } ifelse
def /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def b 0 gt { /z1 b 4 div CLW 2
div add def /Helvetica findfont b scalefont setfont /b b .95 mul CLW 2
div add def } if gsave n 0 gt { 1 setlinecap [ 0 cy n div ] 0 setdash }
{ 2 setlinecap } ifelse /c x1 def /i 500 w mul x1 add def /e y cy mul
def /f y1 cy mul def /g y2 cy mul def x1 cx mul 0 T { newpath 0 e moveto
b 0 gt { gsave d c a cvs dup stringwidth pop /z2 ED w 0 gt {z1} {z1 z2
add neg} ifelse h 0 gt {b neg} {z1} ifelse rmoveto show grestore } if 0
f moveto 0 g L stroke cx w mul 0 T c x2 eq c i eq or {exit} if /c c w
add def } loop grestore gsave n 0 gt { 1 setlinecap [ 0 cx n div ] 0
setdash } { 2 setlinecap } ifelse /c y1 def /i 500 h mul y1 add def /e x
cx mul def /f x1 cx mul def /g x2 cx mul def 0 y1 cy mul T { newpath e 0
moveto b 0 gt { gsave d c a cvs dup stringwidth pop /z2 ED w 0 gt {z1 z2
add neg} {z1} ifelse h 0 gt {z1} {b neg} ifelse rmoveto show grestore }
if f 0 moveto g 0 L stroke 0 cy h mul T c y2 eq c i eq or {exit} if /c c
h add def } loop grestore } def
/ArcArrow { /d ED /b ED /a ED gsave newpath 0 -1000 moveto clip newpath 0
1 0 0 b grestore c mul /e ED pop pop pop r a e d PtoC y add exch x add
exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
mul neg d } def
/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
/Rot { CP CP translate 3 -1 roll neg rotate NET  } def
/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def
/PutBegin { /lmtrx [ tx@Dict /lmtrx known { lmtrx aload pop } if CM ] def
CP 4 2 roll T moveto } def
/PutEnd { CP /lmtrx [ lmtrx aload pop setmatrix ] def moveto } def
/Uput { /a ED add 2 div /h ED 2 div /w ED /s a sin def /c a cos def /b s
abs c abs 2 copy gt dup /q ED { pop } { exch pop } ifelse def /w1 c b
div w mul def /h1 s b div h mul def q { w1 abs w sub dup c mul abs } {
h1 abs h sub dup s mul abs } ifelse } def
/UUput { /z ED abs /y ED /x ED q { x s div c mul abs y gt } { x c div s
mul abs y gt } ifelse { x x mul y y mul sub z z mul add sqrt z add } { q
{ x s div } { x c div } ifelse abs } ifelse a PtoC h1 add exch w1 add
exch } def
/BeginOL { dup (all) eq exch TheOL eq or { IfVisible not { CP OLUnit T
moveto /IfVisible true def } if } { IfVisible { CP OLUnit NET moveto
/IfVisible false def } if } ifelse } def
/InitOL { /OLUnit [ gsave CM STV 2890.79999 dup moveto setmatrix CP
grestore ] cvx def /BOL { BeginOL } def /IfVisible true def } def
end
%%EndProcSet
%%BeginProcSet: gradient.pro
% PostScript header file gradient.ps
% For the PSTricks gradient fillstyle.
% Version: 0.93a
% Date:    93/03/12
% For copying restrictions, see pstricks.doc or pstricks.tex.
%
% Based on some EPS files by leeweyr!bill@nuchat.sccsi.com (W. R. Lee).
%
% Syntax:
%   R0 G0 B0 R1 G1 B1 MidPoint NumLines Angle GradientFill

/tx@GradientDict 40 dict def
tx@GradientDict begin
/GradientFill {
  rotate
  /MidPoint ED
  /NumLines ED
  /LastBlue ED
  /LastGreen ED
  /LastRed ED
  /FirstBlue ED
  /FirstGreen ED
  /FirstRed ED
  clip
  pathbbox           %leave llx,lly,urx,ury on stack
  /y ED /x ED
  2 copy translate
  y sub neg /y ED
  x sub neg /x ED
  /b {
    x 0 rlineto
    0 YSizePerLine rlineto
    x neg 0 rlineto
    closepath
  } def
  /MidLine NumLines 1 MidPoint sub mul abs cvi def
  MidLine NumLines gt { /Midline NumLines def } if
  /RedIncrement LastRed FirstRed sub MidLine div def
  /GreenIncrement LastGreen FirstGreen sub MidLine div def
  /BlueIncrement LastBlue FirstBlue sub MidLine div def
  /YSizePerLine y NumLines div def
  /CurrentY 0 def
  /Red FirstRed def
  /Green FirstGreen def
  /Blue FirstBlue def
  % This avoids gaps due to rounding errors:
  gsave Red Green Blue setrgbcolor fill grestore
  MidLine {
    0 CurrentY moveto b
    Red Green Blue setrgbcolor fill
    CurrentY YSizePerLine add /CurrentY exch def
    Blue BlueIncrement add dup 1 gt { pop 1 } if
      dup 0 lt { pop 0 } if /Blue exch def
    Green GreenIncrement add dup 1 gt { pop 1 } if
      dup 0 lt { pop 0 } if /Green exch def
    Red RedIncrement add dup 1 gt { pop 1 } if
      dup 0 lt { pop 0 } if /Red exch def
  } repeat
  Blue BlueIncrement sub /Blue exch def
  Green GreenIncrement sub /Green exch def
  Red RedIncrement sub /Red exch def
  /RedIncrement LastRed FirstRed sub NumLines MidLine sub div def
  /GreenIncrement LastGreen FirstGreen sub NumLines MidLine sub div def
  /BlueIncrement LastBlue FirstBlue sub NumLines MidLine sub div def
  Blue BlueIncrement sub /Blue exch def
  Green GreenIncrement sub /Green exch def
  Red RedIncrement sub /Red exch def
  NumLines MidLine sub 1 add {
    0 CurrentY moveto b
    Red Green Blue setrgbcolor fill
    CurrentY YSizePerLine add /CurrentY exch def
    Blue BlueIncrement sub dup 1 gt { pop 1 } if
      dup 0 lt { pop 0 } if /Blue exch def
    Green GreenIncrement sub dup 1 gt { pop 1 } if
      dup 0 lt { pop 0 } if /Green exch def
    Red RedIncrement sub dup 1 gt { pop 1 } if
      dup 0 lt { pop 0 } if /Red exch def
  } repeat
} def
end
% END gradient.ps
%%EndProcSet
%%BeginFont: Times-Bold
%
%   This is the EC encoding.
%
%   These are the ligs and kerns in addition to those found in the
%   AFM file.  (The only ligs in the Times-Roman.afm file are the
%   fi and fl ligatures.)
%
% LIGKERN space l =: lslash ; space L =: Lslash ;
% LIGKERN question quoteleft =: questiondown ; exclam quoteleft =: exclamdown ;
% LIGKERN hyphen hyphen =: endash ; endash hyphen =: emdash ;
% LIGKERN quoteleft quoteleft =: quotedblleft ;
% LIGKERN quoteright quoteright =: quotedblright ;
%
%   We blow away kerns to and from spaces (TeX doesn't have a
%   space) and also remove any kerns from the numbers (although
%   the only kern pair that mentions a number in Times-Roman.afm
%   is one one.)
%
% LIGKERN space {} * ; * {} space ; 0 {} * ; * {} 0 ;
% LIGKERN 1 {} * ; * {} 1 ; 2 {} * ; * {} 2 ; 3 {} * ; * {} 3 ;
% LIGKERN 4 {} * ; * {} 4 ; 5 {} * ; * {} 5 ; 6 {} * ; * {} 6 ;
% LIGKERN 7 {} * ; * {} 7 ; 8 {} * ; * {} 8 ; 9 {} * ; * {} 9 ;
% LIGKERN comma comma =: quotedblbase ; less less =: guillemotleft ;
% LIGKERN greater greater =: guillemotright ;
%
%   0x18 should be a small zero which you can put after a percent sign
%   to make it look like perthousand, but since that character is not
%   available and perthousand is, we put perthousand into 0x18 and add
%   a ligature to achieve the same result.
% 
% LIGKERN percent perthousand =: perthousand ;
%
/ECEncoding [          % now 256 chars follow
% 0x00
  /grave /acute /circumflex /tilde /dieresis /hungarumlaut /ring /caron
  /breve /macron /dotaccent /cedilla
  /ogonek /quotesinglbase /guilsinglleft /guilsinglright
% 0x10
  /quotedblleft /quotedblright /quotedblbase /guillemotleft 
  /guillemotright /endash /emdash /compoundwordmark
  /perthousand /dotlessi /dotlessj /ff /fi /fl /ffi /ffl
% 0x20
  /visiblespace /exclam /quotedbl /numbersign
  /dollar /percent /ampersand /quoteright
  /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash
% 0x30
  /zero /one /two /three /four /five /six /seven
  /eight /nine /colon /semicolon /less /equal /greater /question
% 0x40
  /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O
% 0x50
  /P /Q /R /S /T /U /V /W
  /X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore
% 0x60
  /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o
% 0x70
  /p /q /r /s /t /u /v /w
  /x /y /z /braceleft /bar /braceright /asciitilde /hyphen
% 0x80
  /Abreve /Aogonek /Cacute /Ccaron /Dcaron /Ecaron /Eogonek /Gbreve
  /Lacute /Lquoteright /Lslash /Nacute /Ncaron /Eng /Ohungarumlaut /Racute
% 0x90
  /Rcaron /Sacute /Scaron /Scedilla /Tcaron /Tcedilla /Uhungarumlaut /Uring
  /Ydieresis /Zacute /Zcaron /Zdotaccent /IJ /Idotaccent /dbar /section
% 0xA0
  /abreve /aogonek /cacute /ccaron /dquoteright /ecaron /eogonek /gbreve
  /lacute /lquoteright /lslash /nacute /ncaron /eng /ohungarumlaut /racute
% 0xB0
  /rcaron /sacute /scaron /scedilla
  /tquoteright /tcedilla /uhungarumlaut /uring
  /ydieresis /zacute /zcaron /zdotaccent
  /ij /exclamdown /questiondown /sterling
% 0xC0
  /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla
  /Egrave /Eacute /Ecircumflex /Edieresis
  /Igrave /Iacute /Icircumflex /Idieresis
% 0xD0
  /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /OE
  /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /Germandbls
% 0xE0
  /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla
  /egrave /eacute /ecircumflex /edieresis
  /igrave /iacute /icircumflex /idieresis
% 0xF0
  /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /oe
  /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /germandbls
] def

%%EndFont
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.00A
%%CreationDate: 1991 Aug 15 07:20:57

% Copyright (C) 1988 Blue Sky Research. All rights reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 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 161 /minus put
dup 162 /periodcentered put
dup 163 /multiply put
dup 164 /asteriskmath put
dup 165 /divide put
dup 166 /diamondmath put
dup 167 /plusminus put
dup 168 /minusplus put
dup 169 /circleplus put
dup 170 /circleminus put
dup 173 /circlemultiply put
dup 174 /circledivide put
dup 175 /circledot put
dup 176 /circlecopyrt put
dup 177 /openbullet put
dup 178 /bullet put
dup 179 /equivasymptotic put
dup 180 /equivalence put
dup 181 /reflexsubset put
dup 182 /reflexsuperset put
dup 183 /lessequal put
dup 184 /greaterequal put
dup 185 /precedesequal put
dup 186 /followsequal put
dup 187 /similar put
dup 188 /approxequal put
dup 189 /propersubset put
dup 190 /propersuperset put
dup 191 /lessmuch put
dup 192 /greatermuch put
dup 193 /precedes put
dup 194 /follows put
dup 195 /arrowleft put
dup 196 /spade put
dup 0 /minus put
dup 1 /periodcentered put
dup 2 /multiply put
dup 3 /asteriskmath put
dup 4 /divide put
dup 5 /diamondmath put
dup 6 /plusminus put
dup 7 /minusplus put
dup 8 /circleplus put
dup 9 /circleminus put
dup 10 /circlemultiply put
dup 11 /circledivide put
dup 12 /circledot put
dup 13 /circlecopyrt put
dup 14 /openbullet put
dup 15 /bullet put
dup 16 /equivasymptotic put
dup 17 /equivalence put
dup 18 /reflexsubset put
dup 19 /reflexsuperset put
dup 20 /lessequal put
dup 21 /greaterequal put
dup 22 /precedesequal put
dup 23 /followsequal put
dup 24 /similar put
dup 25 /approxequal put
dup 26 /propersubset put
dup 27 /propersuperset put
dup 28 /lessmuch put
dup 29 /greatermuch put
dup 30 /precedes put
dup 31 /follows put
dup 32 /arrowleft put
dup 33 /arrowright put
dup 34 /arrowup put
dup 35 /arrowdown put
dup 36 /arrowboth put
dup 37 /arrownortheast put
dup 38 /arrowsoutheast put
dup 39 /similarequal put
dup 40 /arrowdblleft put
dup 41 /arrowdblright put
dup 42 /arrowdblup put
dup 43 /arrowdbldown put
dup 44 /arrowdblboth put
dup 45 /arrownorthwest put
dup 46 /arrowsouthwest put
dup 47 /proportional put
dup 48 /prime put
dup 49 /infinity put
dup 50 /element put
dup 51 /owner put
dup 52 /triangle put
dup 53 /triangleinv put
dup 54 /negationslash put
dup 55 /mapsto put
dup 56 /universal put
dup 57 /existential put
dup 58 /logicalnot put
dup 59 /emptyset put
dup 60 /Rfractur put
dup 61 /Ifractur put
dup 62 /latticetop put
dup 63 /perpendicular put
dup 64 /aleph put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /union put
dup 92 /intersection put
dup 93 /unionmulti put
dup 94 /logicaland put
dup 95 /logicalor put
dup 96 /turnstileleft put
dup 97 /turnstileright put
dup 98 /floorleft put
dup 99 /floorright put
dup 100 /ceilingleft put
dup 101 /ceilingright put
dup 102 /braceleft put
dup 103 /braceright put
dup 104 /angbracketleft put
dup 105 /angbracketright put
dup 106 /bar put
dup 107 /bardbl put
dup 108 /arrowbothv put
dup 109 /arrowdblbothv put
dup 110 /backslash put
dup 111 /wreathproduct put
dup 112 /radical put
dup 113 /coproduct put
dup 114 /nabla put
dup 115 /integral put
dup 116 /unionsq put
dup 117 /intersectionsq put
dup 118 /subsetsqequal put
dup 119 /supersetsqequal put
dup 120 /section put
dup 121 /dagger put
dup 122 /daggerdbl put
dup 123 /paragraph put
dup 124 /club put
dup 125 /diamond put
dup 126 /heart put
dup 127 /spade put
dup 128 /arrowleft put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5000820 def
currentdict end
currentfile eexec

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