%!PS-Adobe-2.0
%%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software
%%Title: manual.dvi
%%Pages: 44
%%PageOrder: Ascend
%%BoundingBox: 0 0 612 792
%%DocumentFonts: Helvetica-Bold MTSYN AvantGarde-Demi Helvetica
%%+ Times-Roman Times-Italic Times-Bold Helvetica-Narrow-Bold
%%+ Helvetica-Narrow ZapfDingbats RMTMI Courier Times-BoldItalic
%%+ Helvetica-Narrow-Oblique Courier-Oblique MTEX
%%DocumentPaperSizes: Letter
%%EndComments
%DVIPSCommandLine: dvips -o manual.ps manual
%DVIPSParameters: dpi=600, comments removed
%DVIPSSource:  TeX output 1998.09.20:1257
%%BeginProcSet: tex.pro
<< /Duplex true >> setpagedevice  % GK
/TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N
/X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72
mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1}
ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale
isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div
hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul
TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if}
forall round exch round exch]setmatrix}N /@landscape{/isls true N}B
/@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B
/FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{
/nn 8 dict N nn begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N
string /base X array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N
end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{
/sf 1 N /fntrx FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0]
N df-tail}B /E{pop nn dup definefont setfont}B /ch-width{ch-data dup
length 5 sub get}B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{
128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub
get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data
dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N
/rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup
/base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx
0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff
setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff
.1 sub]{ch-image}imagemask restore}B /D{/cc X dup type /stringtype ne{]}
if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup
length 1 sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{
cc 1 add D}B /bop{userdict /bop-hook known{bop-hook}if /SI save N @rigin
0 0 moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul
add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore userdict
/eop-hook known{eop-hook}if showpage}N /@start{userdict /start-hook
known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X
/IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for
65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0
0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V
{}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7
getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false}
ifelse}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale rulex ruley false
RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR rulex ruley scale 1 1
false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave newpath transform
round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg
rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta 0 N /tail
{dup /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: psfrag.pro
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
/tstr 8 string def
/islev2 { languagelevel } stopped { false } { 2 ge } ifelse def
[ /tM /srcM /dstM /dM /idM /srcFM /dstFM ] { matrix def } forall
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
                   globaldict exch /PSfrags exch put glob setglobal }}
                {{ 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
    7 idiv dup /S exch dict def {
        6 array astore /mtrx X tstr cvs /K X
        S K [ S K known { S K get aload pop } if mtrx ] put
    } repeat
} 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 {
            iter maxiter ne { /saver save def } if
            tM setmatrix aX aY translate
            [ exch aload pop idtransform ] concat
            cX neg cY neg translate cX cY moveto
            /proc load OE
            iter maxiter ne { saver restore /iter iter 1 add def } if
        } forall
        /noXY { CP /cY X /cX X } stopped def
        tM setmatrix noXY { newpath } { cX cY moveto } ifelse
    } {
        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 {
    aload pop MD
    CP /bY X /lX X gsave initmatrix
    str stringwidth abs exch abs add dup 0 eq
        { 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
    flattenpath pathbbox [ /uY /uX /lY /lX ] MD
    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
    debugMode { gsave 0 setgray 1 setlinewidth
        lX lY moveto lX uY lineto uX uY lineto uX lY lineto closepath
        lX bY moveto uX bY lineto lX cY moveto uX cY lineto
        cX lY moveto cX uY lineto stroke
    grestore } if
    dstFM dup invertmatrix dstM CM srcM
    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
        } forall
    temp setrepl
} B
/Rif {
    S 3 index convert known { pop replace } { exch pop OE } ifelse
} 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 }
    XA /ay /ax /c /cy /cx XC
/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 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
%%BeginFont: Helvetica-Bold
% @@psencodingfile@{
%   author = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry",
%   version = "0.6",
%   date = "22 June 1996",
%   filename = "8r.enc",
%   email = "kb@@mail.tug.org",
%   address = "135 Center Hill Rd. // Plymouth, MA 02360",
%   codetable = "ISO/ASCII",
%   checksum = "119     662    4424",
%   docstring = "Encoding for TrueType or Type 1 fonts to be used with TeX."
% @}
% 
% Idea is to have all the characters normally included in Type 1 fonts
% available for typesetting. This is effectively the characters in Adobe
% Standard Encoding + ISO Latin 1 + extra characters from Lucida.
% 
% Character code assignments were made as follows:
% 
% (1) the Windows ANSI characters are almost all in their Windows ANSI
% positions, because some Windows users cannot easily reencode the
% fonts, and it makes no difference on other systems. The only Windows
% ANSI characters not available are those that make no sense for
% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen
% (173). quotesingle and grave are moved just because it's such an
% irritation not having them in TeX positions.
% 
% (2) Remaining characters are assigned arbitrarily to the lower part
% of the range, avoiding 0, 10 and 13 in case we meet dumb software.
% 
% (3) Y&Y Lucida Bright includes some extra text characters; in the
% hopes that other PostScript fonts, perhaps created for public
% consumption, will include them, they are included starting at 0x12.
% 
% (4) Remaining positions left undefined are for use in (hopefully)
% upward-compatible revisions, if someday more characters are generally
% available.
% 
% (5) hyphen appears twice for compatibility with both ASCII and Windows.
% 
/TeXBase1Encoding [
% 0x00 (encoded characters from Adobe Standard not in Windows 3.1)
  /.notdef /dotaccent /fi /fl
  /fraction /hungarumlaut /Lslash /lslash
  /ogonek /ring /.notdef
  /breve /minus /.notdef 
% These are the only two remaining unencoded characters, so may as
% well include them.
  /Zcaron /zcaron 
% 0x10
 /caron /dotlessi 
% (unusual TeX characters available in, e.g., Lucida Bright)
 /dotlessj /ff /ffi /ffl 
 /.notdef /.notdef /.notdef /.notdef
 /.notdef /.notdef /.notdef /.notdef
 % very contentious; it's so painful not having quoteleft and quoteright
 % at 96 and 145 that we move the things normally found there down to here.
 /grave /quotesingle 
% 0x20 (ASCII begins)
 /space /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
 /.notdef % rubout; ASCII ends
% 0x80
 /.notdef /.notdef /quotesinglbase /florin
 /quotedblbase /ellipsis /dagger /daggerdbl
 /circumflex /perthousand /Scaron /guilsinglleft
 /OE /.notdef /.notdef /.notdef
% 0x90
 /.notdef /.notdef /.notdef /quotedblleft
 /quotedblright /bullet /endash /emdash
 /tilde /trademark /scaron /guilsinglright
 /oe /.notdef /.notdef /Ydieresis
% 0xA0
 /.notdef % nobreakspace
 /exclamdown /cent /sterling
 /currency /yen /brokenbar /section
 /dieresis /copyright /ordfeminine /guillemotleft
 /logicalnot
 /hyphen % Y&Y (also at 45); Windows' softhyphen
 /registered
 /macron
% 0xD0
 /degree /plusminus /twosuperior /threesuperior
 /acute /mu /paragraph /periodcentered
 /cedilla /onesuperior /ordmasculine /guillemotright
 /onequarter /onehalf /threequarters /questiondown
% 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 /multiply
 /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 /divide
 /oslash /ugrave /uacute /ucircumflex
 /udieresis /yacute /thorn /ydieresis
] def
%%EndFont
%%BeginFont: MTSYN

% MathTime fonts were designed by Michael Spivak.
% Copyright (c) 1996 Publish or Perish, Inc.
% Hinting Copyright (c) 1996 Y&Y, Inc.
% MathTime is a registered trademark of Publish or Perish, Inc.

11 dict begin
/FontInfo 9 dict dup begin
/version (1.000) readonly def
/Notice (Copyright (c) 1992-1996 Publish or Perish and Y&Y, Inc.) readonly def
/FullName (MTSYN) readonly def
/FamilyName (MathTime) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/FontName /MTSYN 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 128 /arrowleft 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 /tie put
dup 66 /openbullet1 put
dup 67 /plus put
dup 68 /equal put
dup 69 /vector put
dup 70 /triangleright put
dup 71 /triangleleft put
dup 72 /equal1 put
dup 73 /semicolon put
dup 74 /grave put
dup 75 /acute put
dup 76 /caron put
dup 77 /breve put
dup 78 /macron put
dup 79 /circumflex put
dup 80 /dotaccent put
dup 81 /tilde put
dup 82 /dieresis put
dup 83 /overbar put
dup 84 /bracketleft put
dup 85 /bracketright put
dup 86 /colon put
dup 87 /exclam put
dup 88 /setminus put
dup 89 /cupproduct put
dup 90 /capproduct 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 /club1 put
dup 121 /club2 put
dup 122 /spade1 put
dup 123 /spade2 put
dup 124 /club put
dup 125 /diamond put
dup 126 /heart put
dup 127 /spade put
dup 132 /radical1 put
dup 160 /space put
readonly def
/FontBBox{0 -954 1043 900}readonly def
/UniqueID 5087393 def
currentdict end
currentfile eexec
80347982AB3942D930E069A70D0D48311E252234D51741E18DB3A68E8AD1024229E5817A10E796
A78D2C7F7C1F50961B9A57AA604C9F821DBF5A9295197BC66631678D7D2C7E1F8F2151CE0C29EF
CE46270570F4301C5DAD1B38884732E53DAD05DFC36B020E726CA575F71F04ABF2B49E1F1D6D2A
08A477658CA9A48F1C8CCE14382F0A42201DE56E2821EE2B0E91A818B1B753D810EC2428DAE515
3B66AF66A6CBCBA4DB2BF926E909644DB41326E327493B2750168D128A100FE56C76B17C16F9CE
939588D19C6E9CDA7CB062196E66E38E537670953934FFC63663C7146A12277D8F7C13B563981D
696E0ABE4478EABEBA753024EBDF3EE17F2613DF08C9228159906A48DDEED6212332EF96023E5C
73EA55AAC6A2B938138EC26B4732C11E8FED889257E9D4F2002935585D9AA2265929948E37BAB7
ADF12F1A22B3C68D09A6B6C4E14B1470ECF0874D92D964CFBB8E2A0E4CBD1A114CC05BBDEE4699
A576AB8C0BD8499B166E9E60B21F45561279F6474BB497E3D55DD09A26264FFA6E8D9F228E894C
456756D321BB5D5932C5BBCD39EB95F5B7D4DC2DA25D6773EA6BF8B758972BEF890ED520777E90
B017BB4F0F1A7076DA33C972773E8ECFDF76B347FE529109A1EA0D91B80161C32E4DFB08EF07F2
3680182631BAF1BEA4A5B9E505311402D9263290E3CF4409B44EDFE28038A0F2101424A9AA4CE8
3A902FAAA4EE6DA88833898CD9EFB74A321458332CC9A62C93501CD1EB799C6DA44F94C61ADA58
024D0CED31CD07BA36A70D986AAAD1D3B9C04D6ACBA7ECAE982A8712BA24B26BC4BF9B042C6FCC
9BF7D3404804E72D2B93FD4F56771495070AA0FD181C35CC11CF251BE8DEA12600643F2B79D09A
A1BCF2636F70EDF1F7E0E434DF83B888598ECE0100492A48645305B4BB8BF16CC994ABDAF88EE7
CA62FA459E421580531F5BDFD3BD83467260F184AFA17ABFF39208581863ACD6632867C05EC9C1
1A910E396F09359713C5B37AE855D3A2FF8657FB89CAD579EB1BAA0979EB227202E44306B7C89D
6B32C41795F994B293A6BAF7DF640C3F68CBA7674E695121892C8DF86D2C12158D6628BA8643AF
6C51D4241FE528EEAC4653FE8A99CC319F7B1351325AA04461810D536E61F220D309E0BF6A55EB
EB2D1605B65B5550F6DF814FC3E80ADD43E595DFD4C947C4126521D740199C6F98826DE413EDA3
0F7D91CAF64987B9519B8329E91644DB1EABD71A9BFF215C4691D38024D081D4F769B5CD39ECA1
67E006B69D797D17D6B9623B7A86AFE5C6E7528FD6D2338146CFA3F34D31A526CA389AC1AF9D72
83931EA406E45980A3A56107885A74F2FFC195F0A44AA3747B7A4F2B35E7ABE1C949ABEC591E58
50B654494A5081D0752358A7D90814CE9531D9857C3B127EDD77C3ED727BD0BE7A8143701624AD
DF7C7D84D37CDC05E3E97357D51E3CA329EC76C1924D84091FD864C03D6681136DBC5A81B93FC5
81BCB2AE6BC9EAAF56BD9A4B7EBFC9A87B6828856BF2A0FD3D744755C02404518AA492077EDF15
27A71C3A07A751EA11D80E1CA421EAC1F10E29DC40327C0E0F1F6E171E2CBCA87CEE30BA697735
1361E221A57879D8E1AA7A59F69714389D2C861DF37439BC8713D1771269DA938C8712BB8D868F
D89084A7A8D843AA906C85D1F7EAFEC4DCCE5A8AB542C082B6DCD262C4CA3DA711CA55F28FFEA8
48E8CCF3BB482CE7ED0D0F1476DBC00704E58207E89AFF346B09DA6000AEA0E6DF562AEC72B822
6F1C0A9FD7D2378B0CDB7B9A6D51CD54E90051D47F382449D5D23CF6D176913E82474C08F6E4E3
4577374CE08643CC099DB37FAF73F9D768C3AD7FB7E632FB2EBC0DDDFE6233B00AB0B3E17E0C81
6093F5D0BCD6A575E587A677670BF7D7250689C7BCDEC50559B82AC0B3B0633638EC5D98AD125D
A00409EEF477825168094F02D3898DCF2C2EC2BBBD4E1BA25E5A4B8E15A6DEDE6005EB2B36EC46
5B2FEF9532ADF7D35CA2EAEB5F8780AE3D7C09AF01A444FC709E3B2954D504F53D52050F17CAFC
9F57E64535C8FE2213E72DF4A9E8A38F4D4AABAC1FFD1145F5AE667C8A01CFD78DC45DDACB09F2
7BBD5D23201AC648891138787900E880D512875E6CA58CC884933B164B53B4D288FF85B9B94B03
EDD9D577670F4842870603BD0F6DA5C01613B9A8D43CD874D4FC67DA17BD49320FED903E5B5787
9FC5795689C812D74BAE79B680544E8C6482BA00FD3581A366F61345B6936493B2BC8450AFB363
3FD514D71ED865B791F73CE883AA7A86368EBDC60FE713081D2C0AB4057260AF002E5D298EE067
1F04C33B7BA068B476BAE2DA48C383663A4921C02FFABFD5915125BAF1CBA2E26014CB589D6710
A4E722B2C642786DD2B783A4347FC66E0158F699BDB8BD2D037FDBBC89580597C87EDC84C9412F
6BB07FF97A9EAE3DA693BB8E576D3849D244FF89F24A9A5809120A76037A6085BBCC89D096EF93
DDF6B33D3969A28A0E33777774499D00595B4C4FB6BEB5DB1CB20AC0628CE23BD0211708801129
42830CC65438739442C1101F09EA0FBF2686B6317CF0269278B451B03090E9604503A6B9D3798C
5F1C925BFBFCEB527C1262B8CD9C0F18A4A254171BB0BF44FA6BF978DE049096B8B39670EF6AE5
790F6435F0C5509E1FF24334085429E3B64B48F3F91077F8CA3C21B0877ABE2EA0779736ABB492
D050CD016D127FA3EDD0FC7413E7E4439A122C37E009B8EC4F958921F0D8501F6AFBA85A2FD614
F9FF40AE81D821AAF6208C1CAD31ACE6EF57F7BB10F21D81BE5C2EC55730425770C35DE27F6630
641AF6D39FE9B2610C965C867C001ABEF1AD4D4C7D262D602719E5DBBC327E609FF1F4982006B7
C45681AE3EBAFE8AA4EF1DCCA0F37D3FF2CD55B1609B5A654B6A2890A53A9CE022BF9965720959
0D14EB79D6E380ED246B1A632D8FA7795D22184917B063B58E9E2D87DE7655EFDC207DBAA36A2B
FF92BA88C5919FF06D085FB9FD0AB19F01F4C3181D9D82B88344C63A75401862F92282E49241CA
CC5C0AC86C72A5D75BE7D819940F21C8F6477BA35C5EB5DE7E244CB12C25ADE420823E8933FCB2
407AAB99AD7A7B56DE0A21A3D7FBBD04C90C58A3504A9B5ECEAD94043A16EE8E766E550F6D0947
30699B58FF84366C47BC2D2A99AEE14499E86A236A2344DAD2263C09C6F982AA252A4180880D9F
D7E90C16FFAA55A36EBED8A1E23E4792B3C7EB8EA63F60A08075F0E4BFB0379CE0DC4B7FB5C113
CBD837F25C0B6F2CD5FE795E300F1245C99C842EE44DE3B8A352841DFA72B9CD6BECDBB51E7A95
6470E5F081105AB88CC28DFFB66A85D0C75D86F3D7F34C6AA8B0DFFC8B9FC516602116FDD4858E
7DE3AC948F05877B83B7ED7FFDB0B69DE973127B626973AF1CAB5DB213AAFD9C6CA273D5485DC3
90225252E0DA375406D26011CAC71A7B0C6B3372D2F1C9DABAA5A31C7F8D040B2E099FD7429824
36C64D34E053C3DAE86B94E16EDCA81ECA39395F8BB552CB2DB50C7F2A9ABD3710C87017248D6A
1EB7416CE5EDAE99EC4270FEFF0DF173A7C18C13A75BE389A4A5412F69C4EE52E411CFE3716425
DEAF057C40E0F9B2008E69BED121CC9EC4471A210D71823E8EBA1FAF6D88C1F8B2DB2375FF469B
E556CC6208EDF9AF791AC411E80D74BC6F395AD859BE71805E908A0047A12F958A4022FD1EBD48
37087F283BA1F1B623A584A390663DA5548E43C314D2486E3831F8494C789AB4C636B78482E830
662A15FC0CA3030C25A481740DB53C4200EF8206F0E097740F3D031544530FA10558CDABEADA04
6EB00F7C807C73AAD1E3C60D9057A03CD8DC22946E637BB60A776A65164D24BF91A0C9FBC19DBF
BF3B8A0FFA91F438F3422595161200360D3321892D0192AC05BC7A74E52506A620A810AC0C7A5A
C13FE0BBB2A4B2090D1778595191FE755C48148BAEA2AB58DD6CA75F6E4028C9C836E6216C9090
3ED51C1C33F7B5C8FFFE3E2DE23B0B25AB93FD935C408C678BDA7D623B1861B230BC8F5D21B8EB
AF6A2DC806FDFB21D662993F4DE3A85284BDE964FE7899B541BB17F4C4808BCFABC3A746A2F330
77AEC41DB37637F4B5105EF1D58C64AC52CC86BF963F875919B3FD33F12A7147B3437B6894CF91
6D6D3972830B4F849DC2E06CA9444D0EAC059C3B20705B77810C916554C94C7BB36070783A3757
4CC482215D03C436D2AB7A1B705BC5C2939172839973E4D89D5F57D71A5D1297EBCA20A2947B15
90907D172FCC7BB1488B1C663A06B91C139DA00AB40B16D933172C3EA66601AA0CA05828B35FF2
5326184555BE5D36956F04A1BCE10F90D2DF77263E1AA8D79859BEE17780C64187224E1739FA8A
4AC464D07EF68101480E0925E7EE98FD8C0CF5AAF30F771383366BAEBC03D5636C1A1A81D92921
05B67FDC74576EF3C2D4089BC68657B15733898A0B26B54D9BE19CB9990CB054E9BBB5BCD4BE87
ADD1629A0D436884CB3E5CAF84C55093278393568251B4450EA719A857379E027FD259028CA68D
313F997616D51FA918B91DBCE6213FC3ECACD4585BAD71068F27243CDF7708F46EAE16A7F67913
D201387A98776EA8B0C5E459E52B13754C191E27B3BBF8CED1D54A72DFC6D7EB1578AE9826441C
B476E54856E2F9BAC9F10E0B5FACEFBD3250F232F611666F5212CBA21862BA9060523BB0B44002
F2FB29B038332C893EE3313C62AAEB1FF0DADC860AD1F179489C06C9BB96D843CEABF5196E7C1A
57DFF4502BA71B2B711653BE32A7003D6EE97209B2FB6C4F22B8DB8094166A28B993B6246B792E
D65DD84000F0D4A547B134E46BD4E495B2763C48E93BB7008EA14C2FC7C3461460711572C70699
03BF49F11F3CE4556FCE122A015D54BD188BF6FDE4889DDF7A92CA1FD50E6604D11DE3B3380ECE
1987E9A446BF220E0C93230AB2A7C6084DD955C3ECC1CDCE0187A0E564CBCF68F6133C0F261320
8179CABDE9FC93685DBF8B845C25B7249F11EE48DD48504759C765D17D387E0CF0B20C70B57377
AD90EEB2793FC47ECFF08645BC4F47A702EA24FD69001CE5283266B371DD80882C9886F231E2F9
838D9E765093B77E19247365F559B075CE1AFF75671E60152047D44BD0B69B168B39582210A09D
224F5226715581F43A9A6BA2D46968227D071CBF3EE13801CDD7F823F3141BBDB8EBEA60B48B26
7898D5E27D431BBF528A5EF830E26E880734F6E1375ADDF92739347E128551D7E126ACC2A82FB7
C57336E5653BF97A69027C90DC7179E65F76A7C43598F000A723A7EBB299E5B2EC549859FFED96
28198C2C02A4FF2A58C0EAC12497B16A06F67CEE100BCF8AB48BA229F930C3D80752D05EE821A0
C226AB62858FDBC6CF53E9B225456FD4F8ADC62B582CE583054547E14D0EC426E1B00B5A8E3421
41C52E36C05FF715953F1BEF7AD3A36C92205198A2EE73144D89ECDE4E5B760BF5E64D09858B8A
DEA9C12FF4BE89B345F2032B7D40F1F94832BBF21E7B6FDF42A7602688D0545E1AEF166B8F78DA
BA20110D765981BCD22C6560B769B52A4B5B7A14A329BBF34E5395F218EDCA121500E3D698A705
B524A3A448C2EED6E5F17FABDC7ACC3182959C7D969A5E37E9C39C1ECFE85DC9154C84301DCFC5
8337ED83103EB593D165CF7F5339D748662AFDD55060BF1E33A0D73DCCEFAB95EBC614E23E5B0B
F9B900E92FE25E6AD98692A39B164EA46B88368F9AB8DE07953B3A9F0D889EB2B9BD06CD6FB265
15699BFDE76CADE3A9ADF56CCD694408A776682CABD4CFB8D3CA37FE900B46F4D153CC3C58C36A
D79C692B71B36FF152CF92FD8898D193D3053A16067EC47FB0A5EF1BB806C5BBD5D75B613667A8
5D1E73D8B72BA47ECD1702B524B9DDACE9ECFF9B10FB9C83E12D7C9D7220EB8C74759FB0C45F68
92E5C6B3A502F06F45608DDEDAE2D178344D938CB36B6EE82D7321106D2C948201B3D7A95DFCC7
BD3A1086A584718E3E62962E613E380CD99EFDA0DC033EB33E316BC8E9363B67EE5E04119EA06B
EFAC94C4C44448812B1A7F7FCDD0824783FFCD97707304D8275AD1746A6990C3C2D5607C72F775
4F150A3B5F6175F453EAE89CF9E3A53BADF80115B7858E113DEBD4ADC2918F3BB2454C35C3F107
7C2D97E067C98B0205613B145F340A37FD60F7176D265BF6451256269CAA16A48D998D80581F48
CBED667D690E855E235B4266E8F3461933D9645CC35214AF73C4FC5A42B978A54BAFC561FAEF93
BE0316B2E4B9927C100CEA3016DC42B8EDC939AC6AD5DA1B6FC86F21D92A5B9841B21412607402
7559CC1C3DA05536033F2A0AE7F10F8A064AA145DD79DECBE6FCEEAB4C91DB9DFAC173AD124DFF
0BBA9097A84E8D351780382F7713E15F73C5CFD3C5BB48726C45D383FC2BE2732C8FFED42C8766
6E0AAC7BF6AECC01E98A701526D642B90ADEFF9C48D5B70728EB378E93267E1ADFB7444BFEAF47
25FB5CE72D8EE7DDCD03D3165CC32429D87565E7DCEC9E21FB34C1099E4AFA0D1993D4EA3B2AD6
8D2796A5FD2CB2000DF2D8C730C7426854554D5D2D42041BE13AC3731860774B540D88806493CC
E8188C2F8BEB189A484D9F639E3D350A6776B56C2E51A56BC96E2773BDDA339098928E095207B8
B485BD0652F107B8E5ECAEB68B7136F12AE4630EC2D9BD452283C4F5499BDC4A20073E37CF77F8
68A417708EA7DEA3E7915AF3D4B3F1EBDABB60E37C3CA374D96B31BA0031D53DE839CCE388FE55
3C073C1BE5CAE06DCE8012B1A91942068BF1EC74EC261F28EC5DEE7953DFE6C4C346F5E44EC312
7610389D265A7530E18EBA2D3BEB6D0FC64F32DD4D288DE6FCED7086A0FBFC506F736279F97F05
2E4CEADA7AA92A5F23EE5120FD2DFC954E5C8DA037E52D63C723C55DBF0CCFDDEB20741D16F5DF
0C2A5A0D1275BF9D3F37B6086429FEF89F59A970D44581BA0B66213F51C4CE33F104AE08A32017
06E285C69151968DA35B2A78082E587028B405806CDF366C5D4C6E04A6F39D49C0BC23A36A4BF7
681A3BC69E93FC3063F81F277400D2B45B931BEC7D087F31BD3B47B3F17AE6A6E4B49EC5A44234
E55193D981033EEE43B79ABAD0752ED28F01BF12051B4511A43C2E8ED484D9D363FDE0129A311F
A62E3D2BCA70577AF1179DEE5137D50C011F74EEEC1230651E071BA0CC9DD9D7D4FDFD21F190A4
25E8988DD779AF006009435AABA80EA233B9A68823DAB1580742CD026EE9EE874723BE5AD6BABC
FD9DAE0CC9A3E4567E1BAB53A5774550768EB4344062525D0836827569EF9A9BD2CE53CF85D7B9
14C8AB0BF01A9743B86EDD1764BE91F100CDC9270C813D8B3895A55B46528B0B90CA2820034395
8C566F25ECAB193C2C126E594A38EC6548BD47CECBF94550CC9DDA5DA4AACBA2AFD4CA53970935
7FF3E4BA59BBCBAFAE3086F4D45C02B8592ABF94200CB8BB560645794014B384A5AB8C34478222
BB942AFF1C95477C997B0FDEE302F01F7A52E461D10B0241737574BE4545889FB58642A3672A63
CA19E8357396D54E18B6054BC91278159C22B391134A997007B04E98B8B036D8CBFCC457959A98
858B734485736A5D1C932BCE464BDC7CFFA86FF1A7DABF37959D23C9E436FF6DF665E147EFFB5F
7CC0794B01F3B87CB74020A272A798697D12B88BE43BB192BF8AB33B474AF17AA13C3CA3190C10
F6AB16C589D121738CD71EC64A610E73A2111220C2804D3C602CBD9047DDBEAEC51296203F4DDD
130D6748C819305196501904A00E0A52DC656A463DA07805852235ADD5BCD6953F07C700000DF1
FFB52C5EBE6373747117DF5587D35BE15B4854054B0CB08AB96D07FA4355E038ED868841A3B4A1
FA58FCA715CBD29D4D34FF42DAFB7F65A3990B974AF26D1BE701AE5E696EABDC7A997C4288C4C8
CF6C10028C49E763DA39F26AA17F7BE65AA155D49B7594D702AEEDDA87891CD3D32D198F0CB233
5369EBCB171287550EBC0394DBBAE9A637A789D052C7C51BC9FF6ED08791005BC6C0D730A49016
AEDDD6563730AB510EC2BFBB8890D289DFF714DD074848DB372B453844EAB8396536AA5B93B6C2
9516218F50622EA5B44B15066AC27026C40224FAE3C0A0A7B26E7271251E2CE70EFDA448B83665
29B147BE0C81E4FA0A67D40D440CD80A0D5649D4EA919FDB09D20E4FD7AF7A8BE4168045097931
7EDD65B6F16012995935C27F7318CAFE60494B2DE7B81D6B3813CD0075B5C93A3E4C907F277347
32B553689DD7E1BD92033FECD1425DEE94E68DDB2983555FABBEFC10B3EE02D5836DB9632FA5E0
6E3D18335BD999F4F2AF2222997392B905A262E87D379F3828E4225082DBD1F805FACFF2B6EB2D
A85C06DC8BC7A1B6D7FB7E33F30E57E75133246946D05A16A6D5F2BB73F46B1AAC466005BC64A7
0C4ED52EE20E31DC101B1053FAB7D4D8CD2159CB260421B3261D18AAF221A0E17DF1B84035F573
83D3FBBB1509D7744BEDDC79A21FC6E4E2CCF6EE21F7C1AA792823C4813A812A903402D36EC76A
B3840BB45D31277811B0CAFE17A7909B39B8B139A6AF831D928F751539625CF88E56353E2559B1
E8BF899677561617726941B20A123D6EE3C6EA8F5FDFCE7EDB24C47FDF560127E219C7B70E359A
2F8BF5ED5696C589BC3DC55B8067609C69022CEAACA887F4D42F5ACDCB1B7A20730739D9F64A35
9D76372939492FD3054DCD0543D608401A557058DA16E13041135E9E7A6A0DACCF3E4050E01E4A
F27531777C2EFA12F82281B7CED3A3B49FDBD0FD218CFB3407858EA0CB5401769E5583CAA61ABE
0351F66424144EC51F4C969C160FF37477F887139BFDFEE290FE77F0BE527103A6A30DE6C3494D
269386B8525B30CBEDF4D6C2BA04B5C843F76B07A11935954F48C55B9BA63F2B1DC3231B5FF9F8
75D2DD2A071B63DFA057CF9988A8646035F625F63E892C449CE2A90A2324FC7474B53ADF072F5F
6B389DE6D4243B13DEA6D5DEEBC9EA428FD35B13B3648B8084AD3034C40E683FA6AB99B322DC91
A946911A63B70B0B0A604ECE8F5E74DDE98261781218DF73B6666ED2C2E5F4E317BB6CEB2555CD
82A6A1DCCA0564AE1C7111BBEFA789880448DF720129F80F856439F261172671801EE0A690C2AD
B81434FF0A56F008A6B35CE08C8832EC2393DC62578CBA2EA45C07E61FDB658B31E80EF9EEF1F7
1C776ABD17A17EDCF9E852386C0698A55F384F4342547CB07C038CC38426457C67C1E8FEE0D424
33B7FB9E68DD533550F1E321E0221BB47658C784E1F2D81E40205F919590B71658F02DAA29CE3E
DD19A2AE8191CAB3430F61D4899DC44E7B8883A3E6384B63180F500891BF54C75A7E0B679C6CFE
9C71DCB785404DE3279F228B9389953BE4330497B00D90E0D164433FD693B3AFDD4639A669CDBF
F930558CD2A9C54031FF23EAC02FA2FC878FD29894FC2A3C181BE30D7C80FD5026B0E933B1875A
EC4A1C3B09F0AB78B686FDBC60C7CE7998EC2A610DD543C70D1E7000F3C4BA6EF15C0A0CD618FD
08A0646D582003E1BB8C4C28CDB11FFB0B764023F023C1BB8486BDBC341D865E04839820CEE2B8
F0FE22513A8AD2DFACDE078504648010888BAB29011996575E1869D1F8CA4784B8488511080E98
3EDA926D56FF4ECA3BC6A6B16B0D0C720A62F363CE48E83AB5FD243121F08AD6B47E326BDBD5D5
FFC684307F3C40BADACDCC8049118E49EFAF4F9570823A9EDBF3FE8121C94CCEEB2600347CBCDB
C08FBCA3A972B4411F7A5EA4E8F1D890779AC095FAF29103242B8C090F645AD8CBABB555D50B29
69019113712C6F058408F1080BC71302C2B9B79647FCB1CF9DBD9ABA4C5D6AD2FFB010E8C734BE
14E618AD1B735B099F0FB59B084C11CCD5579071E8655430474F7306CA9F49C46DC0BB548E5A8F
0D608E85881BD83A1EB98B4E92FE12B39E9C7ED86C46627B6CD527C4D3D92894835F47A80F1F4D
B0C73387E31A429002C4045AE770576E543B63B2A1EE2DD7F4EF11A1223E9514C9D75141101170
F2774E52201AD076FF942ED6C97FB6D1D15E7D7C8391C3D25A0A08422202F93B33F38E58F8AC97
5A41B2549E95C5268D79208143E420DDD94B97EF2ADF9E7C77A2F38BA50E03B6BF43972FC9B19C
22D071CD79F26BC6A2AE9442E57A3E0DC49F30B1A3F9A30D8985900DEB6CA9090B90656EE40CD4
4F483415C71D4BF140E3D9A1617CE38320955680F74E120F40503C712E4438EED9354969E3217C
2F297BD277D1B0C120A8DA45E2BCD0DDBCE00EE2A5553AB493918AD82EAA20AA736DC5B93BD0E8
094BEAFE5E3181D39028C1A2E30CD6B2816150A81BC3DC69C9A3B732600C45FCC2F0B485FC9B69
23338458A054C570AB6F8E3B284E07F223B843BF38122A2E816A458D6A062E2E0E1B76060082D2
DF3B4A5FF911C089698FBDA697CF2A3FA47C17A734FDBB33EE87A5AA068D21745CC4661C19AA1A
E05A8C6030739EB01685E839793CD5BD566353436380622A0D597517B684C04965DC1F13B5C611
6C549DBDB42AFA964789A223EDEFD10C57EE4B1BB1B06B6942B64EE66E1D67E82D4CEADFE47ACC
35080AFE3657BBE687E353F4C94A3788A260436FA1C114B9003DF5DA81A3A471624D73472D61E9
A616FDAB3ABABC225C845FD8F12103B8F67474D7414833074E47222BC00E86ABEB6D8630DF3A9D
84E981EFD99C9FAB64494894F6BF88045FFCE054C50945B75D2A00BBFF2F68EEEA5FA19D5F863E
128CF160182CA8B38EB1560F07F4DDB97E0E759077E70BC4C2B309020840C288951B56803394D1
D57B46DF96DDC9777224BCE81E9797549F18CCC16CA7C25202C4569EECCA6E48EC9C0D911C7D9D
A2FD831635D913E54A181E56F8808E9A8D27BCA1C4DF10CC927794F64018A4B14E003B885F0C18
DE9DB23401ED18890021623ACF1AB9C9DE1FDD33D4F6903E4CA4C668534F99F05CDE08647B3FA1
A8DE467C565D9BA0F6E1D09595B886353C8C67E5095BE53F1A841E258BF2B8FBCDBA798CE77B7D
20D39940E6F6C8DD9A004778BFDB57BCB735DB413236F0A7B864CB6CC3BBFB1B33A23EDC484920
E5582F8248933D9EEEFC1E5E5386567B576D0362FD750EA3FC631B31E61EE1C5D3D6A0AF9F4E8A
436212D359F7BBC9C69DCF4169EE4A5DB65A990AE63E4773607DE4A7DBB85CDDDEE4FA65018C23
0900CB9F868885CF80AE58907134616D78B7179130F76557557BEA8F19B62EF87F9F8AA93A5F0B
DD78C6CEB352ED458806DCE1DF7DF2E2CC34B724C61364D707EFC4EAD4A8E3DB732E8FD1B5DFCF
8C3C46D531D266113B63B7D01FA053EC28347FD23A35CF986F5C73378C8ABD12D1A02B98EA98B4
0F4ADD4F4226D773BE1ADC9841082A9C9E7A5F99534FD6846127054B2437D220A04BF83D16EEFA
7BDB4799DFDBD2DADB1276FFC40C6C24F2253245F21E230C822E323CAC694FC0B7903574CE5175
94F6C22557E231C26768C5DA5572F3D473712C85225BFBDA924766D9544ADFC177ACF94798AB07
985FBBB8A9F230702F3302B1511665B81E33EC69A61F6EE5AF160A034784C83D0BC0039E04AF3D
C8EBDE4DC0EEED8F1FA37D462EE55E63A3526E8278AF663BF5BA1902CA695E8AA7C4EE020FCA14
BA93AB5A0DEFF681E7602135A13DE7567192764DD5D26B1B5862238FF3ACF20711FE0C24DA756A
E629E477DDABF428FE4E10AF898CBB8606BAF96D29627E68A78A483D47DB135DE7FC53ECD46A12
9D64D17C3FB16BC53CEF1F1581976BEE603964EC3CFB28EC4DCABD6DAFE9FC854C69341DBCD4AA
1CBEB29789AAAE56A5C411437ACE39B035C26F77ABAAB2524B7EA71BB664815BBA7F1BD857BC69
281071E74CDDB91C28E59C3007EB2280BEE16E14110AE00324B0A72C65547E3A0509B769608FF7
4073E2BE295BB71ADAFF01E81EC86561C7095A2E5840F54C3030A83045593C43216B8B53269CF3
BFA5A16BC7F258B34F46B5B505BCA9B5349F181D9DAB84372994660A77742AEC03AB32A3A95253
7782C7F489219B19393A0C1A5D9EEAEE305A1BED8376E534163B3303AE930E816F818AC3C5314A
5E23460D8E6B08DEEF8FCCEB7F89E83A8805708CF5A6B2961455693109059C09182B7E08AA1C32
61863F6F546CBAB64E249BA5ECD7AC030973CA1C69E3A37FD5474594181F53528300070F404F5D
4C2B9D43AD4445A7CA703F67B46B2735F7EC1D01B3A2D023B11AED0891AC2BDE28F32ED40DA342
0B6F94EE07E269F4A8D07E29F13DCA62E59E14F3C84FB1836073DD34E29BAE513F9888BBBAE7FD
0F0EE251534E4D7FA6F27C64992A134E8ED6910B29FCE7AA2DA8A58113422E4798DEEEAA323035
170A1D20F6A4BD68C5F495F42648210BB8F056F5DE8420240651AEB4B03A43D18589E2F8CA7380
3864002F2709D60BC735C6CD5692DAA22D8BAD66144ECA52DB3F0910680EF1376CDD3886A37579
A1AC30E349F9EC89AC8F5D7BB880D459BDD538FD516E9780B09A907E1C047F2D5EA6D385CA7B11
32BB7FF7E81539D4D7EBD5C59C32DC82B44BC5DD698048789CD16C51B072F73E5A6E68546BDC32
306E7D197E6D4288D715C1902E58B6E93CA321D45F7E82E379D569D040BC64352060E138CA4494
61CF8E51BEA1CC4A9ADB6B5C26A72E6EE8C089E5198615A621323FC9620FA12770C36A22AF2277
823090F7D058D3434A894FFCCCE04022686AB11670DBB6E68FB6E2336D6C18569675D219E7B6F9
FCD6866FF8AD749B6CDC7EBFB573757AF230A1E9BA4F2F53E8F0F20660E105F5733B3553DC17B0
580317BF4B87376B53D6C668F169723EEDDDD1776DE62B7E0E0E966C5F2F43DAE61339596C436C
64A2369EDED778D98A65B3222148921E381BB46FC0BA1DC3DDCAC224D0B9F0816C00BE91C50376
9D969FE0BA42B89452E84B4F794B7D9688B66030C7734F63FCBDAE262E6B4FFC1AC235BA67E0E5
1331118FC59B325B630E6E22CB55321928B7D153759A11A47DF9D679CB9D10714C5FBDADDFA765
60CBE22A4D25943AA856B0B0E190FF911980914072C697C556A91B894D3B1A096E0AE9A74D2610
5CDD88630F89A00EE9BD92BDE8B806A2D1D4AF265C796D1EE519D25CF196BFAE5CD837A0BD2F76
A76B4EE2241B2CF9D89810807AC10B3BBE67179F216FC44920E28F1FEBD64C2750E1FDAABDF1AC
1DEC065CD4AC4239B3DD6A93CAEBC22BB7097FBB4122ED104DF6A7D1F4C76A1C8132FF188B2438
67B38708F8CF59563E72D5F82B302F2B0FA4EF4D877138C14E250D36032E9D53B48F6906D73DF3
A682439B8AFC64FBFA324C56D825315C8F3FEC5FB3D8F73F6292D617D29F427FE5DFC85C3F2DB0
882BEBBBB704102B3A53918441A507F6F468E4EA1B8C46A4E2DFFC654107FAF494C035C0A03359
1B83E8BF142162C7530A1BE5618206B97EC7E92B1B80EAB0061746AB3717ED65EC0ED719F2A1C7
3F105D88687FC5B00617CC7CD288CE7A938C9F9C4522B7B43ECCF67EC5F342B62085938BA3C1D6
0255A9DFFAF237D6CF752A52B252BB6C5AE4D6EC39F7DA8427D6BC715D7ADA63743E813AFCFFE0
A07F8229FE2074A82E315EB7DA0448BBFD41D06C4CBDAB1DC014A259CCE764AE969B1C6322A1BF
CB703816FABA522713B50878897A91870943B20869D52A01DD76695BFC30C39595409EB8F2FD69
97D7A3820E2DA1BB4F7555EAB7422CC31783E2A20F54D9B8759CE29F0461DD43885545FAB24357
C1013C1FF6D778A01853AD30356382830F7653BAF57E2F6C3AD79CDDB2BD9376EB94616F975D83
D85214593FF76FEB63297FA6F9A2566A1CE29811D81A03FF5C5493686DE4C5AFAB19283ED36241
BBD6BAF5573CB6EBBF8DF5EDCAD5F69E8B65580AD4D6A4FF6C02D73BD52D21B73A6E69D4857E99
BBD2AE2714A953DEA568878E338166311B45CD51A8FE1E0B6E6CF1A03193F82A8E428D9C3D2BB5
1D26E0AF099F2464E235DCA9899BB75FD54C37AC15098E1AC9F33E49FB89E0F106FE9BE1F152E4
E33DC4050C3517B5EF7BA154F0B267A7C35115F6EB6BFA3D061831BE470F5478A664DFC4E0AEE1
1300B30526F50AB8274F3D56BABFB9623B0C7D7030C67EA7088E4B1C767F8A00A01EDAE880EB13
D2E57C909556D6AF8E067AD42A1250E61D50ECCC72F67B50BEE2302AD6E670E0C940C6D3FCFD8F
426FC6B8EC86DD4461545742E2C1952AE52EBEB78FE286B72B75A3D7C0F0FB97876A85421BC38C
CAB03A436E42A09835569D741679103A52ECBE764C4E1B6FFC50738E98C154CA75C51925C5744E
A5299C85331D7BA5DFBB67E8AA8DB9C4EA559C4F6404D760EC9FCFC572B691E747FB7D6BC47D9A
43DF3F8B6873E929058A30D37087CCD0A7A7C2593E219B19B2095EE0542FC49E7B7EBC8FA6208B
96E891014B4BE49BA7510784271E2E8B4D2E4F6520BCC4EE5C7633B79150CAB9807A1B01B50E81
BFC2B7B190A3A848B3DFC15E8B47AFBBAD5C7497A564D927B680B0976C5DA2693C87F18356931D
8CF9AC134A4A496FE850E6A5091956B89776BE6D893981E0279F5D01E605CCA08F6B4C32A6D01F
1FD9E2B243EC60D5781F4B2D6FCA13CFFDAC188F4F39A155B0F64E1BAD587E8C1953723C6C59D4
7321289D9A086DC57FC08F7F2DA512C57A3B9CE4461D711F25E495C5E50740A364798E6B5B732D
6F17EAEA63ED222DEAF39D2E813601F3B2F416465776CE7154242C5CEB14F6CCBF23EEE181EB1F
92DC7C580610902C6CDA5FD15E096317549184CCD14F1AE54CD5688D5FC329114DD48AF6DB7524
414DEE65B3528674768F9DA68CA2552A770E111D3327943CEC52A7B23DC55A98CBF2C0D3A6E2EC
F15A1F093E391AC11CAA0922696275B87137473FF0EA59A1ADAD12C529D76568DF36713DC914D5
7DD5E298A6034F6D918DB3BEDAF88E74907F4B03C41B5ECB0773FEF89237C9C611F0DB6F3BF1A3
1EB60AF8343680184FBBC3136257D2777802039F57F2BCA2B1515742C64026848B669F8D0DF5A6
871858230EA9A9DBA628CD40269F33D9B8AF5DBA58D4BCA52F8A7A2A38E817B7039D6C4B40DA09
B4F2DAF8CC12E14D96BFF75D61B4166121E56DC3D0B2D89E31BABC8E1308A86D0F6E3F28B4E873
28CC47BBFA115500E22416BC153A68AC0299BD50C833E3C1AEE97EEF711449DCB33B20763E2E65
1D429B9D3EBC3429E942429A00641715E268F9E226C0FCDA7A2193C42FDBC3F6A6E668F27DA5AF
D2539C04D7CE3DC030880DB21B7958F625ABC5E6DC94FAF9B8469790DBFDE65C89955F83CA117F
8E43D8AB9E5D8664F08A7CBBDAF4C86D786F4F0FF19D9947D08317BB5E184346EA5A164D9A558C
EE77581AA92DAC056584ED36663EB708D1114D73A00A001D440C8C338E7CC7710DFFAC6E93696C
FD245663F457C5BC29B9029BF91566E8B147016F0B3104BD8863F104A6F0E431CD33BEC307FDA8
17BC5571D98C3DD1AC57A899787F2903D410941CFC818BB56C19DDEDC91295ACAC20931525182C
091AF85AC3E161FEA22F8E65B44E746F8FD40754226439FD9A660E2D02E1AEC9D9BC214F5F16A4
D5BA4E1364D8E8C80A8E57096B510B5A8FBA5FE6715046BFC52EAC796F23B4CF996F8CA9ECD236
1AF5D627A4076F02BBF615556801BC06D014A020C7A4D7BF87CDAB9EECFB90B4C8F6438E28EF59
9C08E1646D023449FE2563F481B23C5765CE24ECBFC6EDFD5E69294E7910313DA056CD9C75DCD4
722371BCF97AC6DD6D2DF99B35BC98C05932BAD200E1F5CE5F1A39BF2F14AE9BCE79157ACBDF8A
E4193C18FBA2271AAE398BB618DACE59C98424D17B4A9F152912B5AC21345C1E0C94631CAF2B51
1DCAB35876A204F0BDE78BDB5F82148131DAD9C0BA3D98EA870BDFD86DFB920006DBA5B4037B83
1255A44112C3C04BA51E3EE35B72E271640F37E6D1929615D75B8574BA58A2CF22264E1EBE3AE4
74C0CC9EF06F251D9A702469CC838F7DA8EE2FFC1EB92368E839D658DA04AD3FD83325A439043E
6489945004F7383B5B77F9D799F3CB07D8E4446A00A8C1DE81D01F48AE998A898785609A498CE2
FB0526FA2485F06F4F17E54141455D0C6E1D8D337BCE938A70FA1F9EA9B2C1FBF1166E26A0512D
E4C347254DF67369F91B82A1743F1F26794DC06C7DABA10079FAD6FD2B559DACC704EAFC12C204
CB0A6BF8C97971D1094F307953947B309DA4823059A83AFA23ECDA8FCA4870E5949DE858F036E5
0D3F193A705537E7A131256E72FC4F4949C49FB40C470480464629F987D6E4058A70D28ED1FAF4
82C3E8E402BA5D2E9A8ED50177C356160F2D38A5D18775E2F204D9767953F3FA4C0A0F05EAFA33
AA5788CEC8E64948D6DEFEC409901F7C2611110827B401F3A7A309DE2311FE4A27BC9ADEFD3B29
7E86C696C57C2C70066438FA37876F8C0275458F82E6FC15D6B55DE4CBB8646452A26FC3D8248B
CADE704766582D20946FB5EAC8739837DCFF5A1E84EEA8D9C21D137CB93DB74925250A0336839D
32C115A5FEF9ED71D4E5A505230F6AC17AD3773A5E5A094BB3900FA0BF3055897966A0BD052AD2
1E5CB6F327300D77CCD2A0283B5868023E86E50E064E850E45DFB3278799854C055CF83FE98AEF
8A5ED9059EA6C1EA5B4916F4673782335EAC2836507A3A2AB61917E24140454924863F30E5C7ED
786B5379227D4BF411FF8FFDD037FC30522BC8CBB887E860D871F59628E1FFA0BFD7FF2DC25700
8E5DF7FDE2F02DCA442646EE35238075CAFB8ED068E50EB4D6B82EA5F7EB3DEC3C9132A8ED6F15
59F530A04A4550E83A87A09CE39F699CE8B42D17EBC0EBAA6B916CD36C766160357404B227FC43
1E1AA8E34B68864C18BE49995C92581AAA084D6FC95599770D84E567C3A45745D84A9DDCC9ED17
9582B3F4BD021A28E9913D8BC40FF6178C7D0233BB2D876F91B3DB7F9B74A6EEDB70D2C363E8BA
D3D69B1C028752D95086EDC8CFCDB2DAD247ECDF88A28F245BCE710B796C554914CE83E4D967AF
C305D6BC70A004ADCAF4D354BDA1427DD0CCFFDCA32D9E5E8EAA67A37E145252D468ECED627F20
38BB4533B00475AE81BAD8A49B9C8031E3AFE5AAE493E4864D5B9AFEF5331E4AA436BD6B6FAFE4
3073C9DEDA76821B787C8C4CDD42F14DC97383648AFAC72F50E40671ABEC730DC100D4E442B762
42726C8E569AACF6E43ECF9E5376F0BF839E7EE78689EA1DFFF44E97F93D0A98D19520DAE6F4D8
8A6159B19FD2897878C26B816FA99DF3C99A5DD18A702A0E285B0256326636259700ADB9D79608
F0341F6753120DCD82D4D80DB3F3AFC0A84BECE5C6AD87F7E0BF915ABE08E7F39D92A58894AE7C
3753A68CAEB56529E899D29EFCA137553DE0CEC1E27FE7D09198237B25B33EE059424E032BFAB5
E8AE55336A9A22BD84B267B8141EEA7A0660C75C32CC9040C91694DE84E975BC52797CC4983A44
044E9EC79183C985AA9994A8547A9AD5FD9BA515A79671B7E912974B4BFB58F3C1F4218987DEF2
5753839C5A335C4EF125596A19DE6D28C10D648FFABE683D55957737AAF73E85593F5173E70A8F
9136943175FC0A1CBA166FAD4857AB9405F3CB1C96A824EE045D579436967ED9295FDD3C7D931D
9A77539F886F768FAB2D8EF6A987BC0452AE7DFC2BFB25620EC056246B7DDCD11E68BB3A2D055D
F0714AAEC08E88067B6C4DB719E49F1C310BC367B67AAC68CB72588D9A11E22DDD65215EEDB812
78813D9C09A97E219CB5E968A8882C79EC2BF4A0B55761384D585A7E48981FE624117FA09AC46D
5B6E538609292D9C63874A192C1CD25FD5EB5BF30E1602213CCC5708AA7A28775AB1D669EED45B
8AD5BB8AE72CF4C827F34228BE33A0CD40DD3C1FA757DE434485E36D09800F1C2D28323B4E7E73
C8F5F79346D87C617C5BFBF6E908322FAA26ED50BC66CBF71E0C026705E162A370822AEF8AA022
860164E7FD1E7FB81C5E14DB0A81659DA7BCFA650B72112994922D416E98D30E3169F696E843B7
B34C554DBCF8029FF5910539A66F55B7666B861BD7E2BE7A9B00D44CE2EAF55A98AAD03319380A
8F8378EBAD79823A27057276F9FE454C119C03E20241674F5896B67AD005130498711BCC8CADD0
265157093D22A1F7CBDBF2A3381AE5A4BC07F316872418AB2F6588BA21DB31D7B0CC304CC2E23D
0F810DBC488F91954F5F28A82D3D53782F399113460B0DFDEF872FA825C94262A70B1FE72933BF
40FD4BECB14BC70B3F43911BC04948231139FC4D86B2F0854F782AE4B9CE7AC33EF50275AFB769
C73435800D212094117D0DA5B694819DDA8600BBB6A098091C888E32CE9F8B3BC4E67757719B13
420F989143F2E0B85B2DA6A695AA91DCB5B69186A59CC232F2F434F2D3FC1657DE90D3698230FB
D39C19B3B62F18ED9258D1D7CC8CBD1CBF58592BDBCCDD164C8A483AB70127F4C9E660BBC673C6
3EED28CE5822C2BF20A785C0D2AEABA3F4061A585F5F48270A36F11B6C5077310BD00FA21475A4
E2E60D99C8A1DD5D74B74CA470D964157C7D4D4992566D36558E58B7E07D091D7F9AA07CABF586
F248D120917AADEFCFA4F689636185D53AE061401AEF4A3A19F8E0D9CB30B54979525D47AC3ACD
E79FE768CBB1AE7B0A2BF509D102CF924D0D859F89CD39BB99E2883C30A4E148D1918F1EDEA095
149B37774ADCB4B3FD6C0345EA23F0213DB4F29A8F167324C2A1E8CD9BEE21AE8CA621BAF73145
1AA582E9FD1EB460899A8C38B08ED183929A81ED396448BDF527F409644D17B4A005B9862F5F7F
B95F2155BB93063FDB7E545886477B5B710CD2BAE103A9CE1DEAD4F15F63F41C892CA84C62680D
D511324931D4E51831C25CB2C119DEF8E5D75A9A585B0E4C89FBF74B21A1A8E2206E6EBECB7304
CB1DAFB7D0C4000DCE1A244A29525B3872B14F29CA1C9BC17CCE10B135E0C3F530F77AC7AA7C0B
059D07AD74EA9A7C55E9FA75B381CA902F13846C90A2F7C48383D1BEFC94BBD0103B991B79C1F4
DB3EA8B83CAAE65FFF6B077ED2471AA551BAC92FFBD6100210C1CEB57225697BFDCC5C414B8EC7
59A4C3AFE8034A9EEDA112D991D078CE7522CF3990462CA35F03CC7509BA2E30F7B5BE75F0352D
6F96D914A53F9AF8975DCBF3688201102A3162F68E4EA8E249B94D0781011FD9E0CEFF944455DB
2F6517FF96E2958EA69B86D96F267251044AE073089373B7822513E0FB589769391BCF2DB62ACA
DF995F020A2BAB02E0C972BC4A7F6B5F7410CAA369022F2D1B5F861C5C5276FCF4EFC65449DCBE
10E069725ADFA61DB972476EC495B544A174ADB5177C080C5EAE6B44E6E044DF660C748A935F0E
7AD665C390C73CB698B1FD187F9085F58AA14BFEBDA9BB1730B2BA5907CE8C790438D4EB02280B
B2B611BEEF36F75B636177E6096C0E1E31F8240B38318DEA7626688B8A0CA5817D8F281AA804EF
2B41A8CD7605F02D032498D51FE3368A00336084D38B29372931C2CCF738731F9EC569E3B2D54B
24411425B6D39C891393D00FAD30A4939848B4B1D5BB9FF68B345D5901CFC4DF9DEFE9B522C000
086469D59A6BF467840C9EB5C491FE50ADFC769535E452878A8CF06968FA0E8B9DD30F35BBE61B
4C548344379489E5DC966E09588FE4F269DF0409713211C7299327BB0294D45FBA35EC304B7B07
F5A67D46A786C8247807067086142816F3ACF77F03D5EE6FF5F8A2B8369C0F1CC922B59FA31564
3271CFD550D6927E21CCE4E8FB93F7A920339D721CB2EF9F4848AE3D96F85BCEA64B4AE93F5254
D9D4B18991CD8C5BD76871B9EBC855663EF043A8230B344539D2EC6906F58372B1DDAC014C189F
E9E3F73E25790CF11DB0ACB93A64D3ED9A57E11826825926629F23F332CDEF103DB74634DDBB3E
444BF96DBE0898E440587D86F5EE18C01CA829E5D1E30D1A06F1E42CCDE92ED96A1B5AD7362F36
F0A3E12A98CC4A9E450AB2909475814D5CD4E06C6EC137D49B31716BD1CF579B668C189A49E9A0
CD2DD4224388F1457FD508DF001BF9F1F7DBF9251589282F55EFEC08995A305605AFDB7A611212
B8602A817B2B5A632888886921BC94BBF3BFB1C25A518741C8477C3E445485BE65BB0C90CEC0F4
148734EBCE7E096314163C57F1F72E083253BCF06B45580086BBD0F3A3C6626708CA8E11D9C4E5
28B6FF99B7C5FB64060C4B7C2AE76AE9C98E5A5071688AC1010FB0A81669E63745A26E027D6A21
505594325EDECABEAB4CE8C6DCB221AC9789676F23B2B05EDDDD215539604BF3F82880F505D282
F824C853442E8E39FB9C71BC55E793118BA5BC398F476930AAA980CCF7DC12D24B41D2E7589381
8405E76FA5AE74586DD032C5C8540223BD218D5622DC8A6B0587D133D0FE9F31A636C07913C27F
20BE650D79B35F1616A6846B573B0D4B6BD560B50028C02390BB52ED835984B8F6630BB7C1967F
DFD2DC734068516352AF4B0F207E0143B24B22530EA7F058FA80487D7C1DAA8E6E049CE8F5E0BE
E2BD29DB095A48DD4242EF9B7388FC24EF655A2184965166E569C4D0F1DEDDD3B6B14D1E92D400
8F8911D54E60822F4679AEA8F739E22BB7B03A5B04ECBD75A95DF15AD365068B7883264C139C4B
4BB9D7D65CB95D2D69008696443D3EA461E1543ACBDC42BF7CB9E3AE13D5EAA317F90414A3BB1B
94AF1A419845A8DD13E392F4359B4D145DE20BDC83B9559FE0A9FFAFFD71079A6F7FCE6F825085
CC3577AE98BBDDDF39BB10C19541B2D65F230CC807B71D7EE35C35250775F8FC255FFF201D681E
CF7184D3551DAF6632374E2C0066B90B3F2FBA38DEBEC7E1AAFB9E75C25E1690EF1FB008BE0827
38C42606443B9072A0C2EF27BCDCC51CC63B751D40EB50C8138680C07F213AE287E902E8E86DCD
FF44CDEA064F4F6DFE1E619165EF8CF42922A25A4716A110B92A83B4D2C439485893541FDAD9E5
638BF0578FA0497F5E7D3C666B1183B830AC1925C267C1B4FFC87469A522BBC2E07D8270FEF5BD
A7C02846F5DF4216083CB0D110809A8BD08E3BD01F3E19C096D692E481ED952D8AF6870C1FBEAB
011BF3604A950871ABB2B3489EC07CB79102C15CFAAFAEB098D0B34040CC4D3FFC34CDAB240A40
C26AA74C22C90B58B90AEDF1A4291C84B5E3AB0EF1D41EF30AF5E760518786C347B4AF86FBB861
EF38C8ECAC757E2495F358E9B71C8BFC4A5F0604CADB5689F17993523FFFA64B39E9685AC9D503
9224FCDB0EDEC24655E97530C827A587D375C9A40685CCFB532F9BC01F27B26553D8656DC07B53
6AF6690434FF8F5BFEAE26460BEF05D4CC0358102FCE94223C048C96E004CC086D440D88799A47
72C20DF93B83052131CD455A5498716EC46119EAD40F30FC1AE46019531490B4EB0919D54BDE0A
1D65304A9D9DDC4684E2E0AE546F9E54AA498403FD978D029CFA934D5D4C021C97C995A43179E9
60255181BCA8860670A701939C0B2EFF33788ED38760D6DE2B19161AC68EACC2E9EE06E8147F16
9E17F3849F9A8459439E4CE00D9FFBA40B01D0C92C5C5CC805BB825D9D03C4E8A299AAC9122E04
0A234B4F973E00A1B2524E0278A04EA00D5F7AB15347B967DC5A8226E57577761ED08EC081DDD9
E1BA28FE92A9520A9E86C14B7C40C9DD49EE603EBDA359F2C39F1E399949353FBA12E1EA1A0316
E56D615C4F6C5A481D161EA6E225994FF7419E4408C7A0778CED1FB84090BF6F774E26E2264BD8
E55CDFC33D0F970A992F683F0272ABE717F98F46AB271E68117E6339BC0AECB9E45F230FF57742
D4CA51C9D0E3EF7CC82A7FD880C3EB4A24BADDA4EA12C1B7DD77E002EF91AEF22038DC0EFEAE71
D7B86B32ABC84A6983C613EC3A5C40F180FD5E68F1CE8E6AAC0E880B35DB366408237ADE529FE2
C497CA863B61955815B9E4438087605B952CC6B2AC37F2DA0FF60B8C208DCC873ABED2E02B65D1
F107102BD0D8459A5AE4B23950A0796B610B3EA310B25709922C0537C88CB2F4770224A3A17F35
F48BA498AAB10F423B9958EB9025D5F041F31A312B32A264B07067B8D27EB167056E9CA67462B3
31AF4B55ECFE51D794493A508C09BC244B700380C01AFEC1F340149AE6544437EEE9C1222861AA
17B647D700CD75D95A51827226B1FA55D0BD6A780F31828580EB192E2E9072AD88E9A4D9C50752
11583ED95AA662D563744CC8831F92D72A72EC2CB7FC7CFB76C89119810345026F15B4E5B9FE0B
09C83EA32147D38FB50D003E8897CE50A77AAB784700F3892A399EDC3CB5F5A95ABE85617C2983
DBA02690B3789BCEAC789247547C3A39BE33AE871FF808D70B3D6D12BD51E1030A23C8356BBC76
C901868694896882C90E40C1C1940BEAFF8BFEAEC1D426A1C44B6308EF4ADAF38D88766D6FE1DE
A163B9203E33E2807AB582AC0763BFB7E730CEE12F374108C84DF65966DCF77953C2793552E7EC
526C553B2B66348888BE30DF7DCAA1F4EB4BFC852C231358ABC89A3630D794D7B7B5581041050D
093998A61446FC8651C83C36986197AEA67C8F85EFCBA6A2E90249F15974598D11461012B2044B
0C730E6525C37D1196214394EC7A6D2A92F00F9DBCF62FDB8C1D41E70C1C655A4A25D30BD009A3
FCAAE8DE1574E5359936E6680A3081D2C1648D1A5853D8EEB72E63DDE6885578D8DFBF7E90C5EE
A7D6F9F6CCED6C22C72177D58B8E05BCE2AB63D353D1C7DDB9AEC88E5E709CD645EC956CD1AF54
34007DA54B7B0590AB5013E50758AA9D3AA1486DF2B7A368070DAE49C9C83C5FF98F33012DA73C
E02827F8209AE8182282EE67E936BF65B137D85F9458DF930E668FCC2CE7B1BC157223372A425A
E92B16556CEC07891AF58192EBF36340CA66D275D26AB19F5EB2A5031040D9A2472A0D1547FE42
C302E23127C9BF7080B718192A4611888E1431B79C19BD95E8A0D1134E115D60F5CED1064D2B19
59C21A9645673653752B0CFBEB9097F7747E6D45AF059338649875C5167BC91600250A8067F8AA
9652FA4CA4F08A42B95C6279A6A5BAF6320C3FF1AB33C6D7BEDB602AA4C81E4D53C2662D9A220A
CED6982B2F6F4D14C552248185D61D07E2A585CB87A93E38870F1C1F4D007A994126B4B6D37110
5122A8C99FCDF07E4E05938EF82644DFEC40525F01BB06B958F787B3F94B4467EDC4F0515C9D69
896A442EF69E9123012121EEE3B9CB2CA3F1AD1D07AA0E45
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark

%%EndFont
%%BeginFont: RMTMI
%!PS-AdobeFont-1.1: RMTMI 1.1
%%CreationDate: 1993 May 10 16:52:31

% Copyright (c) 1992, 1993 The TeXplorators Corporation
% Hinting Copyright (c) 1992, 1993 Y&Y, Inc.

11 dict begin
/FontInfo 9 dict dup begin
/version (1.1) readonly def
/Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation) readonly def
/FullName (RMTMI) readonly def
/FamilyName (MathTime) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.036 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/FontName /RMTMI 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 /Gamma put
dup 162 /Delta put
dup 163 /Theta put
dup 164 /Lambda put
dup 165 /Xi put
dup 166 /Pi put
dup 167 /Sigma put
dup 168 /Upsilon put
dup 169 /Phi put
dup 170 /Psi put
dup 173 /Omega put
dup 174 /alpha put
dup 175 /beta put
dup 176 /gamma put
dup 177 /delta put
dup 178 /epsilon1 put
dup 179 /zeta put
dup 180 /eta put
dup 181 /theta put
dup 182 /iota put
dup 183 /kappa put
dup 184 /lambda put
dup 185 /mu put
dup 186 /nu put
dup 187 /xi put
dup 188 /pi put
dup 189 /rho put
dup 190 /sigma put
dup 191 /tau put
dup 192 /upsilon put
dup 193 /phi put
dup 194 /chi put
dup 195 /psi put
dup 196 /Omega1 put
dup 0 /Gamma put
dup 1 /Delta put
dup 2 /Theta put
dup 3 /Lambda put
dup 4 /Xi put
dup 5 /Pi put
dup 6 /Sigma put
dup 7 /Upsilon put
dup 8 /Phi put
dup 9 /Psi put
dup 10 /Omega put
dup 11 /alpha put
dup 12 /beta put
dup 13 /gamma put
dup 14 /delta put
dup 15 /epsilon1 put
dup 16 /zeta put
dup 17 /eta put
dup 18 /theta put
dup 19 /iota put
dup 20 /kappa put
dup 21 /lambda put
dup 22 /mu put
dup 23 /nu put
dup 24 /xi put
dup 25 /pi put
dup 26 /rho put
dup 27 /sigma put
dup 28 /tau put
dup 29 /upsilon put
dup 30 /phi put
dup 31 /chi put
dup 32 /psi put
dup 33 /omega put
dup 34 /epsilon put
dup 35 /theta1 put
dup 36 /pi1 put
dup 37 /rho1 put
dup 38 /sigma1 put
dup 39 /phi1 put
dup 40 /arrowlefttophalf put
dup 41 /arrowleftbothalf put
dup 42 /arrowrighttophalf put
dup 43 /arrowrightbothalf put
dup 44 /arrowhookleft put
dup 45 /arrowhookright put
dup 46 /parenleft put
dup 47 /parenright put
dup 48 /Gamma1 put
dup 49 /Delta1 put
dup 50 /Theta1 put
dup 51 /Lambda1 put
dup 52 /Xi1 put
dup 53 /Pi1 put
dup 54 /Sigma1 put
dup 55 /Upsilon1 put
dup 56 /Phi1 put
dup 57 /Psi1 put
dup 58 /period put
dup 59 /comma put
dup 60 /less put
dup 61 /slash put
dup 62 /greater put
dup 63 /star put
dup 64 /partialdiff put
dup 91 /flat put
dup 92 /natural put
dup 93 /sharp put
dup 94 /slurbelow put
dup 95 /slurabove put
dup 96 /lscript put
dup 118 /v put
dup 119 /w put
dup 124 /dotlessj put
dup 125 /weierstrass put
dup 126 /kappa1 put
dup 127 /Omega1 put
dup 160 /space put
dup 128 /psi put
readonly def
/FontBBox{0 -213 987 680}readonly def
/UniqueID 5018946 def
currentdict end
currentfile eexec
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00000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark


%%EndFont
%%BeginFont: MTEX
%!PS-AdobeFont-1.1: MTEX 1.1
%%CreationDate: 1993 Jun 26 10:30:36

% Copyright (c) 1992, 1993 The TeXplorators Corporation
% Hinting Copyright (c) 1992, 1993 Y&Y, Inc.

11 dict begin
/FontInfo 9 dict dup begin
/version (1.1) readonly def
/Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation) readonly def
/FullName (MTEX) readonly def
/FamilyName (MathTime) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/FontName /MTEX 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 /parenleftbig put
dup 162 /parenrightbig put
dup 163 /bracketleftbig put
dup 164 /bracketrightbig put
dup 165 /floorleftbig put
dup 166 /floorrightbig put
dup 167 /ceilingleftbig put
dup 168 /ceilingrightbig put
dup 169 /braceleftbig put
dup 170 /bracerightbig put
dup 173 /angbracketleftbig put
dup 174 /angbracketrightbig put
dup 175 /vextendsingle put
dup 176 /vextenddouble put
dup 177 /slashbig put
dup 178 /backslashbig put
dup 179 /parenleftBig put
dup 180 /parenrightBig put
dup 181 /parenleftbigg put
dup 182 /parenrightbigg put
dup 183 /bracketleftbigg put
dup 184 /bracketrightbigg put
dup 185 /floorleftbigg put
dup 186 /floorrightbigg put
dup 187 /ceilingleftbigg put
dup 188 /ceilingrightbigg put
dup 189 /braceleftbigg put
dup 190 /bracerightbigg put
dup 191 /angbracketleftbigg put
dup 192 /angbracketrightbigg put
dup 193 /slashbigg put
dup 194 /backslashbigg put
dup 195 /parenleftBigg put
dup 196 /arrowdblbt put
dup 128 /parenleftBigg put
dup 0 /parenleftbig put
dup 1 /parenrightbig put
dup 2 /bracketleftbig put
dup 3 /bracketrightbig put
dup 4 /floorleftbig put
dup 5 /floorrightbig put
dup 6 /ceilingleftbig put
dup 7 /ceilingrightbig put
dup 8 /braceleftbig put
dup 9 /bracerightbig put
dup 10 /angbracketleftbig put
dup 11 /angbracketrightbig put
dup 12 /vextendsingle put
dup 13 /vextenddouble put
dup 14 /slashbig put
dup 15 /backslashbig put
dup 16 /parenleftBig put
dup 17 /parenrightBig put
dup 18 /parenleftbigg put
dup 19 /parenrightbigg put
dup 20 /bracketleftbigg put
dup 21 /bracketrightbigg put
dup 22 /floorleftbigg put
dup 23 /floorrightbigg put
dup 24 /ceilingleftbigg put
dup 25 /ceilingrightbigg put
dup 26 /braceleftbigg put
dup 27 /bracerightbigg put
dup 28 /angbracketleftbigg put
dup 29 /angbracketrightbigg put
dup 30 /slashbigg put
dup 31 /backslashbigg put
dup 32 /parenleftBigg put
dup 33 /parenrightBigg put
dup 34 /bracketleftBigg put
dup 35 /bracketrightBigg put
dup 36 /floorleftBigg put
dup 37 /floorrightBigg put
dup 38 /ceilingleftBigg put
dup 39 /ceilingrightBigg put
dup 40 /braceleftBigg put
dup 41 /bracerightBigg put
dup 42 /angbracketleftBigg put
dup 43 /angbracketrightBigg put
dup 44 /slashBigg put
dup 45 /backslashBigg put
dup 46 /slashBig put
dup 47 /backslashBig put
dup 48 /parenlefttp put
dup 49 /parenrighttp put
dup 50 /bracketlefttp put
dup 51 /bracketrighttp put
dup 52 /bracketleftbt put
dup 53 /bracketrightbt put
dup 54 /bracketleftex put
dup 55 /bracketrightex put
dup 56 /bracelefttp put
dup 57 /bracerighttp put
dup 58 /braceleftbt put
dup 59 /bracerightbt put
dup 60 /braceleftmid put
dup 61 /bracerightmid put
dup 62 /braceex put
dup 63 /arrowvertex put
dup 64 /parenleftbt put
dup 65 /parenrightbt put
dup 66 /parenleftex put
dup 67 /parenrightex put
dup 68 /angbracketleftBig put
dup 69 /angbracketrightBig put
dup 70 /unionsqtext put
dup 71 /unionsqdisplay put
dup 72 /contintegraltext put
dup 73 /contintegraldisplay put
dup 74 /circledottext put
dup 75 /circledotdisplay put
dup 76 /circleplustext put
dup 77 /circleplusdisplay put
dup 78 /circlemultiplytext put
dup 79 /circlemultiplydisplay put
dup 80 /summationtext put
dup 81 /producttext put
dup 82 /integraltext put
dup 83 /uniontext put
dup 84 /intersectiontext put
dup 85 /unionmultitext put
dup 86 /logicalandtext put
dup 87 /logicalortext put
dup 88 /summationdisplay put
dup 89 /productdisplay put
dup 90 /integraldisplay put
dup 91 /uniondisplay put
dup 92 /intersectiondisplay put
dup 93 /unionmultidisplay put
dup 94 /logicalanddisplay put
dup 95 /logicalordisplay put
dup 96 /coproducttext put
dup 97 /coproductdisplay put
dup 98 /hatwide put
dup 99 /hatwider put
dup 100 /hatwidest put
dup 101 /tildewide put
dup 102 /tildewider put
dup 103 /tildewidest put
dup 104 /bracketleftBig put
dup 105 /bracketrightBig put
dup 106 /floorleftBig put
dup 107 /floorrightBig put
dup 108 /ceilingleftBig put
dup 109 /ceilingrightBig put
dup 110 /braceleftBig put
dup 111 /bracerightBig put
dup 112 /radicalbig put
dup 113 /radicalBig put
dup 114 /radicalbigg put
dup 115 /radicalBigg put
dup 116 /radicalbt put
dup 117 /radicalvertex put
dup 118 /radicaltp put
dup 119 /arrowvertexdbl put
dup 120 /arrowtp put
dup 121 /arrowbt put
dup 122 /bracehtipdownleft put
dup 123 /bracehtipdownright put
dup 124 /bracehtipupleft put
dup 125 /bracehtipupright put
dup 126 /arrowdbltp put
dup 127 /arrowdblbt put
dup 159 /radical put
dup 160 /space put
readonly def
/FontBBox{-23 -2958 1456 766}readonly def
/UniqueID 5018948 def
currentdict end
currentfile eexec
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%%EndFont
%%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}
ifelse}forall Metrics /Metrics currentdict end def[2 index currentdict
end definefont 3 -1 roll makefont /setfont load]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{/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{/hs X /CLIP 1 N}B /@vsize{/vs X /CLIP 1 N}B /@clip{
/CLIP 2 N}B /@hoffset{/ho X}B /@voffset{/vo X}B /@angle{/ang X}B /@rwi{
10 div /rwi X /rwiSeen true N}B /@rhi{10 div /rhi X /rhiSeen true N}B
/@llx{/llx X}B /@lly{/lly X}B /@urx{/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{itransform lineto}
}{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{
itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{
closepath}}pathforall newpath counttomark array astore /gc xdf pop ct 39
0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}if}N
/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1
scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get
ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip
not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0
TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{noflips{TR
pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1
-1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg
TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg
sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr
0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add
2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N /cp
{pop pop showpage pm restore}N end}if}if}N /normalscale{Resolution 72
div VResolution 72 div neg scale magscale{DVImag dup scale}if 0 setgray}
N /psfts{S 65781.76 div N}N /startTexFig{/psf$SavedState save N userdict
maxlength dict begin /magscale true def normalscale currentpoint TR
/psf$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$x psf$urx
psf$llx sub div N /psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy
scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR
/showpage{}N /erasepage{}N /copypage{}N /p 3 def @MacSetUp}N /doclip{
psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2
roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath
moveto}N /endTexFig{end psf$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 lly neg TR}if}ifelse
CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury
lineto closepath clip}if /showpage{}N /erasepage{}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 moveto}N /ellipse{/endangle X
/startangle X /yrad X /xrad X /savematrix matrix currentmatrix N TR xrad
yrad scale 0 0 1 startangle endangle arc savematrix setmatrix}N end
%%EndProcSet
TeXDict begin @defspecial

 TeXDict begin /box{newpath 2 copy moveto 3 copy pop exch lineto 4
copy pop pop lineto 4 copy exch pop exch pop lineto closepath } bind
def /min{ 2 copy gt { exch } if pop } bind def/max{ 2 copy lt { exch
} if pop } bind def/roundedbox{/radius exch store 3 2 roll 2 copy min
radius sub /miny exch store max radius add /maxy exch store 2 copy
min radius sub /minx exch store max radius add /maxx exch store newpath
minx radius add miny moveto maxx miny maxx maxy radius arcto maxx maxy
minx maxy radius arcto minx maxy minx miny radius arcto minx miny maxx
miny radius arcto 16 {pop} repeat closepath }bind def /rectcartouche{box
gsave .95 setgray fill grestore 1 setlinewidth stroke }bind def /cartouche{roundedbox
gsave .95 setgray fill grestore 1 setlinewidth stroke }bind def end
 
@fedspecial end TeXDict begin
40258431 52099146 1000 600 600 (manual.dvi) @start /Fa
157[25 98[{}1 50.000001 /Times-Italic rf /Fb 256[{}0
50.000001 /RMTMI rf /Fc 167[117 88[{}1 83.333337 /MTEX
rf /Fd 144[50 50 10[50 99[{TeXBase1Encoding ReEncodeFont}3
83.333337 /Courier-Oblique rf /Fe 205[40 1[17 48[{}2
63.333383 /MTSYN rf /Ff 144[32 32 2[28 7[28 32 11[39
86[{}6 63.333383 /Times-Italic rf /Fg 137[31 118[{}1
63.333383 /RMTMI rf /Fh 139[19 34 23 1[38 2[57 1[34 2[38
38 19 38 1[34 38 38 44[38 38 38 38 2[19 46[{
 TeXBase1Encoding ReEncodeFont }18 83.333337 /Helvetica-Narrow-Oblique
rf /Fi 4 40 df[<3FFF80000000000000000000000000000000000000007FFFFFE00000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>
173 173 294 134 332 36 D[<000000000000000000000000000000000000000000F000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>173 173 294 300 332 I[<3C0000000000000000000000000000000000000000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>173 173 128 300 332 I[<00000000000000000000000000000000000000
0FFFF00000000000000000000000000000000000001FFFFFF00000000000000000000000
0000000000000FFFFFFFF80000000000000000000000000000000001FFFFFFFFF8000000
000000000000000000000000001FFFFFFFFFF800000000000000000000000000000001FF
FFFFFFFFF00000000000000000000000000000001FFFFFFFFFFFF0000000000000000000
000000000000FFFFFFFFF80000000000000000000000000000000007FFFFFFF000000000
000000000000000000000000003FFFFFF8000000000000000000000000000000000001FF
FFFF0000000000000000000000000000000000000FFFFFF0000000000000000000000000
0000000000003FFFFF00000000000000000000000000000000000001FFFFF00000000000
0000000000000000000000000007FFFF800000000000000000000000000000000000001F
FFFC000000000000000000000000000000000000007FFFE0000000000000000000000000
00000000000001FFFF0000000000000000000000000000000000000007FFFC0000000000
00000000000000000000000000001FFFE000000000000000000000000000000000000000
7FFF8000000000000000000000000000000000000001FFFE000000000000000000000000
0000000000000007FFF8000000000000000000000000000000000000001FFFE000000000
0000000000000000000000000000003FFF80000000000000000000000000000000000000
00FFFE0000000000000000000000000000000000000001FFF80000000000000000000000
000000000000000007FFE0000000000000000000000000000000000000000FFF80000000
000000000000000000000000000000003FFE000000000000000000000000000000000000
00007FFC0000000000000000000000000000000000000001FFF000000000000000000000
00000000000000000003FFE0000000000000000000000000000000000000000FFF800000
00000000000000000000000000000000001FFF0000000000000000000000000000000000
0000003FFC00000000000000000000000000000000000000007FF8000000000000000000
0000000000000000000001FFE00000000000000000000000000000000000000003FFC000
00000000000000000000000000000000000007FF00000000000000000000000000000000
000000000FFE00000000000000000000000000000000000000001FFC0000000000000000
0000000000000000000000007FF80000000000000000000000000000000000000000FFE0
0000000000000000000000000000000000000001FFC00000000000000000000000000000
000000000003FF800000000000000000000000000000000000000007FF00000000000000
000000000000000000000000000FFE00000000000000000000000000000000000000001F
F800000000000000000000000000000000000000003FF000000000000000000000000000
000000000000007FE00000000000000000000000000000000000000000FFC00000000000
000000000000000000000000000001FF8000000000000000000000000000000000000000
03FF000000000000000000000000000000000000000007FE000000000000000000000000
00000000000000000FFC00000000000000000000000000000000000000001FF800000000
000000000000000000000000000000003FF0000000000000000000000000000000000000
00003FE000000000000000000000000000000000000000007FC000000000000000000000
00000000000000000000FF800000000000000000000000000000000000000001FF000000
000000000000000000000000000000000003FE0000000000000000000000000000000000
00000007FE000000000000000000000000000000000000000007FC000000000000000000
00000000000000000000000FF800000000000000000000000000000000000000001FF000
000000000000000000000000000000000000003FE0000000000000000000000000000000
00000000003FC000000000000000000000000000000000000000007FC000000000000000
00000000000000000000000000FF800000000000000000000000000000000000000001FF
000000000000000000000000000000000000000001FE0000000000000000000000000000
00000000000003FE000000000000000000000000000000000000000007FC000000000000
000000000000000000000000000007F80000000000000000000000000000000000000000
0FF000000000000000000000000000000000000000001FF0000000000000000000000000
00000000000000001FE000000000000000000000000000000000000000003FC000000000
000000000000000000000000000000007FC0000000000000000000000000000000000000
00007F800000000000000000000000000000000000000000FF0000000000000000000000
00000000000000000000FF000000000000000000000000000000000000000001FE000000
000000000000000000000000000000000003FE0000000000000000000000000000000000
00000003FC000000000000000000000000000000000000000007F8000000000000000000
000000000000000000000007F800000000000000000000000000000000000000000FF000
000000000000000000000000000000000000000FF0000000000000000000000000000000
00000000001FE000000000000000000000000000000000000000001FE000000000000000
000000000000000000000000003FC000000000000000000000000000000000000000003F
C000000000000000000000000000000000000000007F8000000000000000000000000000
000000000000007F800000000000000000000000000000000000000000FF000000000000
000000000000000000000000000000FF0000000000000000000000000000000000000000
01FE000000000000000000000000000000000000000001FE000000000000000000000000
000000000000000003FC000000000000000000000000000000000000000003FC00000000
0000000000000000000000000000000007F8000000000000000000000000000000000000
000007F8000000000000000000000000000000000000000007F000000000000000000000
000000000000000000000FF000000000000000000000000000000000000000000FF00000
0000000000000000000000000000000000001FE000000000000000000000000000000000
000000001FE000000000000000000000000000000000000000001FC00000000000000000
0000000000000000000000003FC000000000000000000000000000000000000000003FC0
00000000000000000000000000000000000000007F800000000000000000000000000000
0000000000007F8000000000000000000000000000000000000000007F00000000000000
0000000000000000000000000000FF000000000000000000000000000000000000000000
FF000000000000000000000000000000000000000000FE00000000000000000000000000
0000000000000001FE000000000000000000000000000000000000000001FE0000000000
00000000000000000000000000000001FC00000000000000000000000000000000000000
0001FC000000000000000000000000000000000000000003FC0000000000000000000000
00000000000000000003FC000000000000000000000000000000000000000003F8000000
000000000000000000000000000000000007F80000000000000000000000000000000000
00000007F8000000000000000000000000000000000000000007F0000000000000000000
000000000000000000000007F000000000000000000000000000000000000000000FF000
000000000000000000000000000000000000000FF0000000000000000000000000000000
00000000000FE000000000000000000000000000000000000000000FE000000000000000
000000000000000000000000000FE000000000000000000000000000000000000000001F
E000000000000000000000000000000000000000001FE000000000000000000000000000
000000000000001FC000000000000000000000000000000000000000001FC00000000000
0000000000000000000000000000001FC000000000000000000000000000000000000000
003FC000000000000000000000000000000000000000003FC00000000000000000000000
0000000000000000003F8000000000000000000000000000000000000000003F80000000
00000000000000000000000000000000003F800000000000000000000000000000000000
0000003F8000000000000000000000000000000000000000007F80000000000000000000
00000000000000000000007F8000000000000000000000000000000000000000007F0000
000000000000000000000000000000000000007F00000000000000000000000000000000
00000000007F0000000000000000000000000000000000000000007F0000000000000000
000000000000000000000000007F0000000000000000000000000000000000000000007F
0000000000000000000000000000000000000000007F0000000000000000000000000000
000000000000007F000000000000000000000000000000000000000000FF000000000000
000000000000000000000000000000FF0000000000000000000000000000000000000000
00FE000000000000000000000000000000000000000000FE000000000000000000000000
000000000000000000FE000000000000000000000000000000000000000000FE00000000
0000000000000000000000000000000000FE000000000000000000000000000000000000
000000FE000000000000000000000000000000000000000000FE00000000000000000000
0000000000000000000000FE000000000000000000000000000000000000000000FE0000
00000000000000000000000000000000000000FE00000000000000000000000000000000
0000000000FE000000000000000000000000000000000000000000FE0000000000000000
00000000000000000000000000FE0000000000000000000000000000000000000000007C
0000000000000000000000000000000000000000003C0000000000000000000000000000
00000000000000>173 173 128 134 332 I E /Fj 133[40 40
1[40 40 40 40 40 40 1[40 40 40 40 40 40 1[40 40 40 40
40 40 40 40 40 10[40 40 40 40 40 1[40 40 40 40 1[40 1[40
1[40 40 40 40 40 40 7[40 40 40 40 40 40 40 40 40 40 40
40 40 40 40 40 40 40 40 2[40 1[40 35[{TeXBase1Encoding ReEncodeFont}61
66.666667 /Courier rf /Fk 145[33 48 1[29 107[{}3 66.666667
/Times-Italic rf /Fl 194[31 61[{}1 66.666667 /RMTMI rf
/Fm 205[28 28 49[{TeXBase1Encoding ReEncodeFont}2 56.666690
/Times-Roman rf /Fn 205[32 32 49[{TeXBase1Encoding ReEncodeFont}2
63.333383 /Times-Roman rf /Fo 139[23 32 32 1[42 1[46
65 23 2[23 46 42 1[37 42 2[42 18[60 74 5[60 55 23[21
46[{TeXBase1Encoding ReEncodeFont}18 83.333337 /Times-BoldItalic
rf /Fp 133[50 50 50 50 50 50 50 50 50 1[50 50 50 50 50
50 50 50 50 50 1[50 50 50 50 50 3[50 1[50 6[50 50 4[50
1[50 2[50 7[50 14[50 50 1[50 50 50 45[{TeXBase1Encoding ReEncodeFont}37
83.333337 /Courier rf /Fq 182[22 3[53 69[{TeXBase1Encoding ReEncodeFont}
2 79.999924 /Helvetica-Bold rf /Fr 134[55 55 1[55 61
33 55 39 1[61 61 61 89 28 1[28 28 61 61 1[55 61 55 61
55 12[61 66 72 1[66 78 1[83 3[28 1[78 61 1[72 72 1[72
8[55 55 55 55 55 55 55 55 2[28 33 5[28 39[{
TeXBase1Encoding ReEncodeFont}44 100.000003 /Helvetica-Bold
rf /Fs 103[28 30[37 37 55 37 42 23 32 32 1[42 42 42 60
23 1[23 23 42 42 23 37 42 37 42 42 3[32 1[32 4[51 1[46
3[51 60 55 69 5[60 51 51 1[55 2[76 2[56 2[28 5[42 1[42
42 42 23 21 28 1[56 7[42 31[42 3[{TeXBase1Encoding ReEncodeFont}49
83.333337 /Times-Italic rf /Ft 135[37 2[42 6[42 60 1[37
23 23 3[37 42 2[42 10[51 5[51 1[55 6[60 1[51 3[51 65[{}16
83.333337 /Times-Italic rf /Fu 136[61 40 55[65 2[27 23
10[31 31 46[{}7 83.333337 /RMTMI rf /Fv 182[15 3[36 69[{
 TeXBase1Encoding ReEncodeFont }2 66.666667 /Helvetica-Narrow
rf /Fw 212[78 43[{}1 83.333337 /ZapfDingbats rf /Fx 134[34
34 49 34 38 19 34 23 38 38 38 38 57 15 2[15 38 38 19
38 38 34 38 38 12[42 45 49 2[53 1[57 9[49 1[45 10[38
38 2[38 38 38 1[19 23 3[23 23 37[34 2[{ TeXBase1Encoding ReEncodeFont }
40 83.333337 /Helvetica-Narrow rf /Fy 138[42 2[26 5[19
2[19 1[42 1[38 2[42 38 12[42 13[42 12[38 38 38 38 38
38 38 38 38 38 48[{ TeXBase1Encoding ReEncodeFont }20
83.333337 /Helvetica-Narrow-Bold rf /Fz 134[42 1[60 42
46 23 42 28 1[46 46 46 69 18 42 1[18 46 46 1[46 46 42
46 46 7[55 1[78 55 1[51 55 60 1[55 1[60 69 1[55 1[23
60 65 1[55 60 60 1[55 22[32 42[{TeXBase1Encoding ReEncodeFont}39
83.333337 /Helvetica rf /FA 182[26 3[62 69[{
TeXBase1Encoding ReEncodeFont}2 93.333301 /Helvetica-Bold
rf /FB 133[42 46 46 65 46 51 28 46 32 1[51 51 51 74 23
46 1[23 51 51 28 46 51 46 51 46 9[78 55 1[51 55 60 1[55
65 60 69 1[60 1[23 1[65 51 55 60 60 60 2[51 8[46 46 46
1[46 46 2[23 28 45[{TeXBase1Encoding ReEncodeFont}49
83.333337 /Helvetica-Bold rf /FC 133[37 42 42 60 42 46
28 32 37 46 46 42 46 69 23 1[28 23 46 42 28 37 46 37
46 42 9[83 60 1[55 46 60 1[51 1[60 1[55 2[32 5[60 1[60
8[42 1[42 42 42 42 42 42 3[28 21 4[28 5[28 29[46 46 2[{
TeXBase1Encoding ReEncodeFont}49 83.333337 /Times-Bold
rf /FD 134[65 1[90 1[71 39 65 45 71 1[71 71 103 32 2[32
71 71 39 65 71 65 71 65 9[110 78 1[71 78 84 1[78 1[84
97 71 2[32 5[84 1[84 10[65 65 65 65 65 65 3[39 5[32 39[{
TeXBase1Encoding ReEncodeFont}40 116.666669 /Helvetica-Bold
rf /FE 103[22 30[37 1[52 1[41 22 37 26 1[41 1[41 59 1[37
1[18 41 2[37 41 37 1[37 23[18 3[44 10[22 10[18 18 46[{
TeXBase1Encoding ReEncodeFont}22 66.666667 /Helvetica-Bold
rf /FF 133[29 33 1[48 33 33 18 26 22 33 33 33 33 52 18
33 1[18 33 33 22 29 33 29 33 29 9[63 1[48 41 37 44 1[37
48 1[59 41 2[22 48 48 37 1[48 44 44 48 6[18 33 33 2[33
33 33 33 33 33 18 17 22 17 6[55 33[37 37 2[{
TeXBase1Encoding ReEncodeFont}57 66.666667 /Times-Roman
rf /FG 171[41 44 5[55 3[18 3[44 69[{TeXBase1Encoding ReEncodeFont}5
66.666667 /Helvetica rf /FH 182[15 3[35 69[{
TeXBase1Encoding ReEncodeFont}2 53.333281 /Helvetica
rf /FI 252[29 3[{}1 56.666690 /MTSYN rf /FJ 134[33 33
50 33 37 21 29 29 1[37 37 37 54 21 33 1[21 37 37 21 33
37 33 37 37 25 5[42 5[42 37 2[46 2[62 42 1[33 25 1[54
1[46 54 50 1[46 6[25 11[19 6[25 36[37 2[{TeXBase1Encoding ReEncodeFont}
41 75.000000 /Times-Italic rf /FK 103[25 1[37 27[33 37
37 54 37 37 21 29 25 37 37 37 37 58 21 37 21 21 37 37
25 33 37 33 37 33 3[25 1[25 3[71 54 54 46 42 50 1[42
1[54 66 46 54 29 25 54 54 1[46 54 50 50 54 6[21 37 37
37 37 37 37 37 37 37 37 21 19 25 19 2[25 25 25 39[{
TeXBase1Encoding ReEncodeFont}68 75.000000 /Times-Roman
rf /FL 104[83 28[37 42 42 60 42 42 23 32 28 42 42 42
42 65 23 42 23 23 42 42 28 37 42 37 42 37 28 2[28 1[28
2[60 78 60 60 51 46 55 1[46 60 60 74 51 60 1[28 60 60
46 51 60 55 55 60 76 2[47 1[23 23 42 42 42 42 42 42 42
42 42 42 23 21 28 21 1[42 28 28 28 65 69 33[46 46 2[{
TeXBase1Encoding ReEncodeFont}78 83.333337 /Times-Roman
rf /FM 149[24 2[31 31 16[28 28 15[65 65 12[0 3[52 85
22[65 22[43 3[{}12 83.333337 /MTSYN rf /FN 134[50 2[50
50 28 39 33 1[50 50 50 78 28 2[28 50 1[33 44 1[44 50
44 11[72 1[55 66 1[55 1[72 89 4[72 3[72 66 1[72 7[50
50 2[50 50 1[50 50 50 28 2[25 44[{TeXBase1Encoding ReEncodeFont}37
100.000003 /Times-Roman rf /FO 134[60 3[66 1[60 40 1[66
66 66 100 3[27 1[66 1[66 66 2[66 10[80 10[80 3[93 71[{
TeXBase1Encoding ReEncodeFont}16 119.999948 /Helvetica
rf /FP 140[53 38 2[77 72 4[29 3[77 14[84 33[67 3[67 1[33
46[{TeXBase1Encoding ReEncodeFont}10 119.999948 /AvantGarde-Demi
rf /FQ 136[115 1[86 43 63 46 1[95 92 86 135 34 83 1[34
86 95 40 92 95 92 1[95 11[92 1[75 83 1[80 121 1[129 5[121
69 2[112 1[106 19[60 40 44[{TeXBase1Encoding ReEncodeFont}31
143.999997 /AvantGarde-Demi rf /FR 252[66 3[{}1 126.665747
/MTSYN rf /FS 171[126 138 5[172 77[{TeXBase1Encoding ReEncodeFont}3
207.333362 /Helvetica-Bold rf /FT 182[46 3[110 69[{
TeXBase1Encoding ReEncodeFont}2 165.866715 /Helvetica-Bold
rf end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 600dpi
TeXDict begin
%%PaperSize: Letter

%%EndSetup
%%Page: 1 1
1 0 bop 1700 560 a FS(M)-11 b FT(E)-42 b FS(T)g FT(I)p
FS(S)2202 499 y FR(\003)280 760 y FQ(A)40 b(Softw)l(ar)o(e)f(P)m(ac)n
(kage)g(f)m(or)i(P)m(ar)s(titioning)g(Unstr)s(uctur)o(ed)399
961 y(Gra)s(phs)s(,)e(P)m(ar)s(titioning)i(Meshes)s(,)g(and)e
(Computing)484 1162 y(Fill-Reducing)i(Or)o(der)s(ings)f(of)g(Spar)s(se)
f(Ma)q(tr)s(ices)1640 1363 y FP(V)-12 b(er)r(sion)32
b(4.0)1076 1749 y FO(George)j(Kar)t(ypis)e(and)h(Vipin)f(K)l(umar)167
1929 y FN(Uni)n(v)o(ersity)23 b(of)i(Minnesota,)e(Department)h(of)h
(Computer)g(Science)g(/)g(Army)f(HPC)i(Research)g(Center)1459
2057 y(Minneapolis,)d(MN)h(55455)1443 2214 y FM(f)p FL(karypis,)19
b(kumar)p FM(g)p FL(@cs.umn.edu)1550 2406 y FN(September)25
b(20,)g(1998)208 2756 y FK(Metis)16 b([MEE)g(tis]:)21
b FJ(`Metis')16 b(is)g(the)h(Gr)m(eek)g(wor)m(d)g(for)g(wisdom.)22
b(Metis)16 b(was)h(a)f(titaness)h(in)f(Gr)m(eek)i(mytholo)o(gy)l(.)23
b(She)17 b(was)g(the)f(consort)208 2856 y(of)i(Zeus)h(and)h(the)f
(mother)g(of)g(Athena.)24 b(She)19 b(pr)m(esided)h(o)o(ver)g(all)f
(wisdom)g(and)h(knowledg)o(e)o(.)p 0 4929 1560 4 v 86
4981 a FI(\003)122 5005 y FG(M)m FH(E)-13 b FG(T)g FH(I)q
FG(S)18 b FF(is)h(cop)o(yrighted)j(by)d(the)h(re)o(gents)g(of)f(the)h
(Uni)n(v)o(ersity)h(of)e(Minnesota.)28 b(This)19 b(w)o(ork)g(w)o(as)h
(supported)g(by)f(IST/BMDO)g(through)h(Army)f(Research)i(Of)n(\002ce)0
5084 y(contract)d(D)m(A/D)m(AAH04-93-G-0080,)g(and)d(by)h(Army)f(High)g
(Performance)i(Computing)g(Research)h(Center)f(under)f(the)g(auspices)h
(of)e(the)h(Department)h(of)f(the)g(Army)l(,)0 5163 y(Army)i(Research)i
(Laboratory)g(cooperati)n(v)o(e)i(agreement)e(number)f(D)m
(AAH04-95-2-0003/contract)24 b(number)18 b(D)m(AAH04-95-C-0008,)j(the)e
(content)h(of)e(which)h(does)0 5242 y(not)g(necessarily)i(re\003ect)f
(the)f(position)h(or)e(the)h(polic)o(y)h(of)e(the)h(go)o(v)o(ernment,)h
(and)f(no)f(of)n(\002cial)i(endorsement)h(should)e(be)f(inferred.)26
b(Access)19 b(to)g(computing)h(f)o(acilities)0 5321 y(were)14
b(pro)o(vided)h(by)e(Minnesota)i(Supercomputer)h(Institute,)f(Cray)f
(Research)h(Inc,)f(and)g(by)f(the)h(Pittsb)o(ur)o(gh)g(Supercomputing)i
(Center)l(.)22 b(Related)15 b(papers)f(are)g(a)o(v)n(ailable)0
5400 y(via)k(WWW)d(at)j(URL:)f FE(http://www)m(.cs.umn.edu/\230kar)q
(ypis)1929 5649 y FL(1)p eop
%%Page: 2 2
2 1 bop 0 85 a FD(Contents)0 277 y FC(1)83 b(Intr)o(oduction)3281
b(3)0 470 y(2)83 b(What)20 b(is)j FB(M)l FE(E)-17 b FB(T)g
FE(I)p FB(S)3237 b FC(4)0 663 y(3)83 b(What)20 b(is)h(New)f(in)h(This)h
(V)-8 b(ersion)2724 b(6)0 855 y(4)85 b FB(M)l FE(E)-17
b FB(T)g FE(I)p FB(S)r FC(')m(s)22 b(Stand-Alone)d(Pr)o(ograms)2637
b(8)125 965 y FL(4.1)85 b(Graph)20 b(P)o(artitioning)e(Programs)53
b(.)42 b(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)
f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g
(.)h(.)f(.)g(.)g(.)143 b(8)125 1074 y(4.2)85 b(Mesh)21
b(P)o(artitioning)d(Programs)76 b(.)42 b(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)
h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)143
b(9)125 1184 y(4.3)85 b(Sparse)21 b(Matrix)e(Reordering)g(Programs)58
b(.)42 b(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)
f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g
(.)102 b(11)125 1294 y(4.4)85 b(Auxiliary)19 b(Programs)43
b(.)e(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h
(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)
g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(13)315 1403
y(4.4.1)c(Mesh)20 b(T)-7 b(o)21 b(Graph)e(Con)m(v)o(ersion)75
b(.)42 b(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)
f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g
(.)102 b(13)315 1513 y(4.4.2)c(Graph)19 b(Check)o(er)56
b(.)41 b(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)
g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h
(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(14)125 1622 y(4.5)85
b(Input)19 b(File)i(F)o(ormats)h(.)41 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)
f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g
(.)102 b(15)315 1732 y(4.5.1)c(Graph)19 b(File)79 b(.)41
b(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f
(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(15)315 1842 y(4.5.2)c(Mesh)20
b(File)40 b(.)h(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h
(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(16)125
1951 y(4.6)85 b(Output)20 b(File)h(F)o(ormats)28 b(.)41
b(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f
(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(17)315 2061 y(4.6.1)c(P)o
(artition)20 b(File)63 b(.)42 b(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)
f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102
b(17)315 2170 y(4.6.2)c(Ordering)19 b(File)48 b(.)42
b(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)
f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(17)0 2363 y FC(5)85
b FB(M)l FE(E)-17 b FB(T)g FE(I)p FB(S)r FC(')m(s)22
b(Library)e(Interface)2784 b(18)125 2473 y FL(5.1)85
b(Graph)20 b(Data)g(Structure)52 b(.)42 b(.)f(.)g(.)g(.)h(.)f(.)g(.)g
(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)
g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102
b(18)125 2582 y(5.2)85 b(Mesh)21 b(Data)f(Structure)75
b(.)42 b(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)
f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(19)125 2692
y(5.3)85 b(P)o(artitioning)19 b(Objecti)n(v)o(es)62 b(.)41
b(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g
(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)
g(.)g(.)h(.)f(.)g(.)g(.)102 b(19)125 2801 y(5.4)85 b(Graph)20
b(P)o(artitioning)e(Routines)77 b(.)42 b(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)
h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102
b(21)504 2911 y(METIS)p 759 2911 25 4 v 29 w(P)o(artGraphRecursi)n(v)o
(e)60 b(.)41 b(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)
f(.)g(.)g(.)102 b(21)504 3020 y(METIS)p 759 3020 V 29
w(P)o(artGraphKw)o(ay)68 b(.)41 b(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)
f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(22)504
3130 y(METIS)p 759 3130 V 29 w(P)o(artGraphVKw)o(ay)70
b(.)41 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f
(.)g(.)g(.)102 b(23)504 3240 y(METIS)p 759 3240 V 29
w(mCP)o(artGraphRecursi)n(v)o(e)65 b(.)41 b(.)g(.)g(.)h(.)f(.)g(.)h(.)f
(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(24)504 3349 y(METIS)p
759 3349 V 29 w(mCP)o(artGraphKw)o(ay)72 b(.)41 b(.)h(.)f(.)g(.)g(.)h
(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(26)504
3459 y(METIS)p 759 3459 V 29 w(WP)o(artGraphRecursi)n(v)o(e)44
b(.)e(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f
(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)
102 b(28)504 3568 y(METIS)p 759 3568 V 29 w(WP)o(artGraphKw)o(ay)52
b(.)41 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f
(.)g(.)g(.)102 b(30)504 3678 y(METIS)p 759 3678 V 29
w(WP)o(artGraphVKw)o(ay)54 b(.)41 b(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f
(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(32)125 3788 y(5.5)85
b(Mesh)21 b(P)o(artitioning)d(Routines)38 b(.)j(.)h(.)f(.)g(.)g(.)h(.)f
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)
h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102
b(34)504 3897 y(METIS)p 759 3897 V 29 w(P)o(artMeshNodal)23
b(.)42 b(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)
f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g
(.)h(.)f(.)g(.)g(.)102 b(34)504 4007 y(METIS)p 759 4007
V 29 w(P)o(artMeshDual)65 b(.)42 b(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)
h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(35)125
4116 y(5.6)85 b(Sparse)21 b(Matrix)e(Reordering)g(Routines)h(.)41
b(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f
(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)
102 b(36)504 4226 y(METIS)p 759 4226 V 29 w(EdgeND)67
b(.)41 b(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)
g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h
(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(36)504 4336 y(METIS)p
759 4336 V 29 w(NodeND)58 b(.)41 b(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)
f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102
b(37)504 4445 y(METIS)p 759 4445 V 29 w(NodeWND)42 b(.)f(.)g(.)h(.)f(.)
g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h
(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
g(.)102 b(39)125 4555 y(5.7)85 b(Auxiliary)19 b(Routines)67
b(.)41 b(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(40)504 4664
y(METIS)p 759 4664 V 29 w(MeshT)-7 b(oNodal)70 b(.)42
b(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)
f(.)g(.)g(.)102 b(40)504 4774 y(METIS)p 759 4774 V 29
w(MeshT)-7 b(oDaul)50 b(.)41 b(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)
h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(41)504
4883 y(METIS)p 759 4883 V 29 w(EstimateMemory)29 b(.)41
b(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g
(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)
g(.)g(.)102 b(42)125 4993 y(5.8)85 b(C)22 b(and)d(F)o(ortran)g(Support)
81 b(.)41 b(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f
(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
h(.)f(.)g(.)g(.)h(.)f(.)g(.)g(.)102 b(43)0 5186 y FC(6)83
b(System)20 b(Requir)o(ements)g(and)h(Contact)e(Inf)n(ormation)2011
b(44)1929 5649 y FL(2)p eop
%%Page: 3 3
3 2 bop 0 85 a FD(1)116 b(Intr)n(oduction)0 261 y FL(Algorithms)17
b(that)h(\002nd)g(a)h(good)d(partitioning)g(of)i(highly)f(unstructured)
f(graphs)h(are)h(critical)g(for)g(de)n(v)o(eloping)d(ef)n(\002cient)j
(solutions)f(for)0 370 y(a)25 b(wide)f(range)f(of)g(problems)g(in)h
(man)o(y)f(application)g(areas)h(on)g(both)f(serial)i(and)e(parallel)h
(computers.)35 b(F)o(or)24 b(e)o(xample,)f(lar)o(ge-scale)0
480 y(numerical)f(simulations)h(on)g(parallel)h(computers,)e(such)i(as)
g(those)f(based)h(on)f(\002nite)h(element)f(methods,)g(require)f(the)i
(distrib)n(ution)0 590 y(of)e(the)h(\002nite)g(element)f(mesh)g(to)h
(the)g(processors.)31 b(This)22 b(distrib)n(ution)g(must)g(be)h(done)e
(so)i(that)g(the)g(number)d(of)j(elements)f(assigned)0
699 y(to)28 b(each)g(processor)e(is)j(the)f(same,)h(and)f(the)g(number)
e(of)h(adjacent)g(elements)h(assigned)f(to)h(dif)n(ferent)e(processors)
h(is)i(minimized.)0 809 y(The)20 b(goal)g(of)h(the)f(\002rst)h
(condition)e(is)j(to)e(balance)g(the)g(computations)f(among)g(the)i
(processors.)k(The)20 b(goal)g(of)g(the)h(second)e(condition)0
918 y(is)25 b(to)g(minimize)e(the)h(communication)e(resulting)h(from)g
(the)i(placement)e(of)h(adjacent)f(elements)h(to)h(dif)n(ferent)d
(processors.)37 b(Graph)0 1028 y(partitioning)20 b(can)h(be)g(used)h
(to)f(successfully)g(satisfy)h(these)g(conditions)e(by)h(\002rst)h
(modeling)e(the)h(\002nite)h(element)f(mesh)g(by)g(a)h(graph,)0
1138 y(and)e(then)f(partitioning)g(it)h(into)g(equal)g(parts.)100
1247 y(Graph)31 b(partitioning)g(algorithms)g(are)h(also)h(used)f(to)h
(compute)e(\002ll-reducing)f(orderings)h(of)h(sparse)g(matrices.)62
b(These)32 b(\002ll-)0 1357 y(reducing)d(orderings)f(are)j(useful)f
(when)g(direct)g(methods)g(are)g(used)h(to)f(solv)o(e)h(sparse)f
(systems)h(of)g(linear)f(equations.)55 b(A)31 b(good)0
1466 y(ordering)25 b(of)i(a)h(sparse)f(matrix)g(dramatically)f(reduces)
g(both)h(the)g(amount)f(of)h(memory)f(as)i(well)g(as)g(the)f(time)h
(required)d(to)j(solv)o(e)0 1576 y(the)23 b(system)g(of)g(equations.)32
b(Furthermore,)21 b(the)i(\002ll-reducing)e(orderings)h(produced)e(by)j
(graph)e(partitioning)g(algorithms)h(are)h(par)n(-)0
1685 y(ticularly)28 b(suited)h(for)g(parallel)g(direct)f(f)o
(actorization)g(as)i(the)o(y)e(lead)h(to)g(high)f(de)o(gree)g(of)h
(concurrenc)o(y)d(during)h(the)i(f)o(actorization)0 1795
y(phase.)100 1905 y(Graph)19 b(partitioning)f(is)j(also)g(used)e(for)h
(solving)f(optimization)g(problems)f(arising)i(in)g(numerous)e(areas)j
(such)f(as)g(design)g(of)g(v)o(ery)0 2014 y(lar)o(ge)25
b(scale)i(inte)o(grated)e(circuits)h(\(VLSI\),)f(storing)g(and)h
(accessing)g(spatial)h(databases)e(on)h(disks,)i(transportation)c
(management,)0 2124 y(and)c(data)g(mining.)1929 5649
y(3)p eop
%%Page: 4 4
4 3 bop 0 85 a FD(2)116 b(What)31 b(is)k(M)-6 b FA(E)-23
b FD(T)g FA(I)p FD(S)2 259 y Fz(M)l FG(E)-17 b Fz(T)g
FG(I)p Fz(S)34 b FL(is)d(a)f(softw)o(are)f(package)f(for)h
(partitioning)f(lar)o(ge)h(irre)o(gular)f(graphs,)i(partitioning)e(lar)
o(ge)h(meshes,)i(and)f(computing)d(\002ll-)0 369 y(reducing)21
b(orderings)g(of)i(sparse)g(matrices.)32 b(The)23 b(algorithms)f(in)j
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)27 b FL(are)c(based)f(on)h
(multile)n(v)o(el)e(graph)h(partitioning)f(described)0
478 y(in)30 b([8)o(,)f(7,)h(6)o(].)53 b(T)m(raditional)28
b(graph)g(partitioning)f(algorithms)h(compute)g(a)i(partition)e(of)h(a)
h(graph)e(by)h(operating)e(directly)i(on)g(the)0 588
y(original)17 b(graph)h(as)h(illustrated)f(in)h(Figure)f(1\(a\).)24
b(These)18 b(algorithms)g(are)g(often)g(too)g(slo)n(w)h(and/or)f
(produce)e(poor)i(quality)g(partitions.)100 698 y(Multile)n(v)o(el)23
b(partitioning)g(algorithms,)h(on)g(the)g(other)g(hand,)g(tak)o(e)g(a)h
(completely)e(dif)n(ferent)g(approach)f([5)o(,)j(8)o(,)g(7)o(].)38
b(These)24 b(algo-)0 807 y(rithms,)19 b(as)h(illustrated)f(in)g(Figure)
f(1\(b\),)g(reduce)g(the)i(size)g(of)e(the)i(graph)d(by)i(collapsing)f
(v)o(ertices)h(and)g(edges,)f(partition)g(the)i(smaller)0
917 y(graph,)25 b(and)f(then)h(uncoarsen)e(it)j(to)g(construct)e(a)h
(partition)f(for)h(the)g(original)f(graph.)40 b Fz(M)l
FG(E)-17 b Fz(T)g FG(I)p Fz(S)30 b FL(uses)c(no)o(v)o(el)d(approaches)g
(to)j(succes-)0 1026 y(si)n(v)o(ely)h(reduce)f(the)h(size)g(of)g(the)g
(graph)f(as)i(well)f(as)h(to)f(further)f(re\002ne)h(the)g(partition)f
(during)f(the)i(uncoarsening)e(phase.)45 b(During)0 1136
y(coarsening,)19 b Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)24
b FL(emplo)o(ys)19 b(algorithms)f(that)h(mak)o(e)g(it)h(easier)g(to)f
(\002nd)g(a)h(high-quality)d(partition)h(at)i(the)f(coarsest)h(graph.)j
(During)0 1246 y(re\002nement,)h Fz(M)l FG(E)-17 b Fz(T)g
FG(I)p Fz(S)28 b FL(focuses)23 b(primarily)e(on)i(the)h(portion)d(of)i
(the)g(graph)f(that)i(is)g(close)f(to)h(the)f(partition)f(boundary)-5
b(.)31 b(These)23 b(highly)0 1355 y(tuned)c(algorithms)g(allo)n(w)j
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)25 b FL(to)20 b(quickly)f(produce)
f(high-quality)g(partitions)h(for)h(a)g(lar)o(ge)g(v)n(ariety)f(of)h
(graphs.)450 2607 y @beginspecial 0 @llx 0 @lly 1129
@urx 433 @ury 3600 @rwi @setspecial
%%BeginDocument: ./figures/slide78.eps
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {} def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def

end
save
-48.0 455.0 translate
1 -1 scale

/clp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/l {lineto} bind def
/m {moveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
  4 -2 roll dup 1 exch sub 3 -1 roll mul add
  4 -2 roll dup 1 exch sub 3 -1 roll mul add
  4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
  bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
  4 -2 roll mul srgb} bind def
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def

$F2psBegin
10 setmiterlimit
 0.06000 0.06000 sc
% Polyline
%
% Begin Imported EPS File: slide7.eps
%
n gs
825 1606 tr
15.284974 -15.278970 sc
0 -233 tr
-35 -330 tr
save
/showpage {} def
% EPS file follows:















/defineresource where{pop}{userdict begin/defineresource{userdict/Resources 2

copy known{get begin}{15 dict dup begin put}ifelse exch readonly exch

currentdict 1 index known not{dup 30 dict def}if load 3 -1 roll 2 index put

end}bind readonly def/findresource{userdict/Resources get exch get exch get}

bind readonly def/resourceforall{pop pop pop pop}bind readonly def

/resourcestatus{userdict/Resources 2 copy known{get exch 2 copy known{get exch

known{0 -1 true}{pop pop false}ifelse}{pop pop pop false}ifelse}{pop pop false

}ifelse}bind readonly def end}ifelse



/Pscript_Win_Driver 200 dict dup begin


/FatalErrorIf{{initgraphics findfont exch scalefont setfont counttomark 3 div

cvi{moveto show}repeat showpage quit}{cleartomark}ifelse}bind def


/VM? {vmstatus exch sub exch pop gt { [

(This job requires more memory than is available in this printer.) 100 500

(Try one or more of the following, and then print again:) 100 485

(In the PostScript dialog box, click Optimize For Portability.) 115 470

(In the Device Options dialog box, make sure the Available Printer Memory is accurate.) 115 455

(Reduce the number of fonts in the document.) 115 440

(Print the document in parts.) 115 425

12 /Times-Roman showpage

(%%[ PrinterError: Low Printer VM ]%%) =

true FatalErrorIf}if} bind def


/|/def load def/,/load load |/~/exch , |/?/ifelse , |/!/pop , |/`/begin , |/^

/index , |/@/dup , |/+/translate , |/$/roll , |/U/userdict , |/M/moveto , |/-

/rlineto , |/&/currentdict , |/:/gsave , |/;/grestore , |/F/false , |/T/true ,

|/N/newpath , |/E/end , |/Ac/arc , |/An/arcn , |/A/ashow , |/D/awidthshow , |

/C/closepath , |/V/div , |/O/eofill , |/L/fill , |/I/lineto , |/-C/rcurveto ,

|/-M/rmoveto , |/+S/scale , |/Ji/setfont , |/Lc/setlinecap , |/Lj/setlinejoin

, |/Lw/setlinewidth , |/S/show , |/LH/showpage , |/K/stroke , |/W/widthshow ,

|/R/rotate , |/b{bind |}bind |/bd{bind |}bind |/xd{~ |}bd/ld{, |}bd/lw/Lw ld

/lc/Lc ld/lj/Lj ld/sg/setgray ld/L2? F/languagelevel where{! languagelevel 2

ge{! T}if}if |/g{@ not{U/DefIf_save save put}if U/DefIf_bool 2 ^ put}b

/DefIf_El{if U/DefIf_bool get not @{U/DefIf_save get restore}if}b/e{DefIf_El !

}b/self & |/reinitialize{[/TextInit/GraphInit/UtilsInit counttomark{@ where{

self eq}{F}?{cvx exec}{!}?}repeat cleartomark}b/initialize{`{/ADO_mxRot ~ |

/TextInitialised? F | reinitialize E}{U/Pscript_Win_Data 200 dict @ ` put

/ADO_mxRot ~ |/TextInitialised? F | reinitialize}?}b/terminate{!{& self eq{

exit}{E}?}loop E}b/suspend/terminate , |/resume{` Pscript_Win_Data `}b/snap{

transform 0.25 sub round 0.25 add ~ 0.25 sub round 0.25 add ~ itransform}b

/dsnap{dtransform round ~ round ~ idtransform}b<04>cvn{}|/setjn{{statusdict

/jobname known{statusdict/jobname 3 -1 $ put}if}stopped cleartomark}b/solid{[]

0 setdash}b/setdsh{0 setdash}b/colspRefresh{}b/rp{4 2 $ M 1 ^ 0 - 0 ~ - neg 0

-}b/rr{1 ^ 0 - 0 ~ - neg 0 - C}b



L2? not g{/rf{N rp L}b/fx{1 1 dtransform @ 0 ge{1 sub 1}{1 add -0.25}? 3 -1 $

@ 0 ge{1 sub 1}{1 add -0.25}? 3 1 $ 4 1 $ idtransform 4 -2 $ idtransform}b/BZ{

4 -2 $ snap + +S fx rf}b/rs{N rp C K}b/rc{N rp clip N}b/sg{setgray}b/sco{

setrgbcolor}b/sgco{{sg}{sco}?}b}e



L2? g{/colspA/DeviceGray |/colspABC/DeviceRGB |/setAorABC{{colspA}{colspABC}?

setcolorspace}b/rf/rectfill , |/fx{1 1 dtransform @ 0 ge{1 sub 0.5}{1 add -0.5

}? 3 -1 $ @ 0 ge{1 sub 0.5}{1 add -0.5}? 3 1 $ 4 1 $ idtransform 4 -2 $

idtransform}b/BZ{4 -2 $ snap + +S fx rf}b/rs/rectstroke , |/rc/rectclip , |/sg

{@ @ setcolor}b/sco{setcolor}b/colspRefresh{colspABC setcolorspace}b/sgco{{sg

}{sco}?}b/UtilsInit{F setglobal}b/definecolorrendering{/ColorRendering

defineresource !}b/findcolorrendering{@/ColorRendering resourcestatus{! !

/ColorRendering findresource T}{! F}?}b/selectcolorrendering{@/ColorRendering

resourcestatus{! !/ColorRendering}{!/DefaultColorRendering/ColorRendering}?

findresource setcolorrendering}b}e



/bullets{{/bullet}repeat}b/ANSIEncoding[/grave/acute/circumflex/tilde/macron

/breve/dotaccent/dieresis/ring/cedilla/hungarumlaut/ogonek/caron/dotlessi 18

bullets StandardEncoding 32 95 getinterval aload ! 3 bullets/quotesinglbase

/florin/quotedblbase/ellipsis/dagger/daggerdbl/circumflex/perthousand/Scaron

/guilsinglleft/OE 4 bullets/quoteleft/quoteright/quotedblleft/quotedblright

/bullet/endash/emdash/tilde/trademark/scaron/guilsinglright/oe 2 bullets

/Ydieresis/space/exclamdown/cent/sterling/currency/yen/brokenbar/section

/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/hyphen/registered

/macron/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph

/periodcentered/cedilla/onesuperior/ordmasculine/guillemotright/onequarter

/onehalf/threequarters/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis

/Aring/AE/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute

/Icircumflex/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis

/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls

/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute

/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde/ograve

/oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex

/udieresis/yacute/thorn/ydieresis]| ANSIEncoding @ 39/quotesingle put 96/grave

put/ANSIEncodingOld ANSIEncoding 256 array copy | ANSIEncodingOld @[138 153

154 169 172 174 177 178 179 181 185 188 189 190 208 215 221 222 240 247 253

254]{/bullet put @}forall 166/bar put 176/ring put



/TextInit{TextInitialised? not{/Pscript_Windows_Font & |/TextInitialised? T |

/fM[1 0 0 -1 0 0]|/mFM matrix |/iMat[1 0 0.212557 neg 1 0 0]|}if}b/xUP null |

/yUP null |/uW null |/xSP null |/ySP null |/sW null |/copyfont{1 ^ length add

dict `{1 ^/FID ne{|}{! !}?}forall & E}b/rF{3 copyfont @ `/Encoding

ANSIEncoding &/CharStrings known{CharStrings/Eth known not{! ANSIEncodingOld}

if}if | E}b/mF{findfont ~{@/Encoding get @ StandardEncoding eq{! T}{{

ISOLatin1Encoding}stopped{! F}{eq}?{T}{@ ` T 32 1 127{Encoding 1 ^ get

StandardEncoding 3 -1 $ get eq and}for E}?}?}{F}?{rF}{3 copyfont}? `

/OrigFontType ~ |/OrigFontName ~ | & E 2 ^ ~ definefont fM 5 4 -1 $ put fM 4 0

put fM makefont Pscript_Windows_Font 3 1 $ put}b/xF{scalefont

Pscript_Windows_Font 3 1 $ put}b/xMF{mFM astore makefont Pscript_Windows_Font

3 1 $ put}b/xF2/scalefont , |/xMF2{mFM astore makefont}b/sLT{: Lw -M

currentpoint snap M 0 - 0 Lc K ;}b/sSU{N/uW ~ |/yUP ~ |/xUP ~ |}b/sU{xUP yUP

uW sLT}b/sST{N/sW ~ |/ySP ~ |/xSP ~ |}b/sT{xSP ySP sW sLT}b/sR{: + R 0 0 M}b

/sRxy{: matrix astore concat 0 0 M}b/eR/; , |



/mBF{@ 4 copyfont `/FontName ~ |/OrigFontType ~ |/OrigFontName ~ | 0

FontMatrix idtransform ! &/PaintType known{PaintType 0 eq{/PaintType 2 |

/StrokeWidth ~ |}{PaintType 1 eq PaintType 2 eq or PaintType 3 eq or &

/StrokeWidth known and{StrokeWidth add/StrokeWidth ~ |}{!}?}?}{!}? @ & E

definefont Pscript_Windows_Font 3 1 $ put}b/xBF{Pscript_Windows_Font ` 1 ^

/FontName get 1 ^ scalefont 3 1 $ scalefont 2 copy ~ | ~ ! | E}b/xMBF{mFM

astore Pscript_Windows_Font ` 1 ^/FontName get 1 ^ makefont 3 1 $ makefont 2

copy ~ | ~ ! | E}b/xBF2{/sB0 ~ mBF/sB1 sB0 3 -1 $ xBF sB1}b/xMBF2{/sB0 ~ mBF

mFM astore/sB1 sB0 3 -1 $ xMBF sB1}b/sB{: Pscript_Windows_Font currentfont get

Ji @ S ; S}b/asB{: Pscript_Windows_Font currentfont get Ji 3 copy A ; A}b/wsB{

: Pscript_Windows_Font currentfont get Ji 4 copy W ; W}b/awsB{:

Pscript_Windows_Font currentfont get Ji 6 copy D ; D}b/sBT3{: @ S ; 1 1 -M S}b

/asBT3{: 3 copy A ; 1 1 -M A}b/wsBT3{: 4 copy W ; 1 1 -M W}b/awsBT3{: 6 copy D

; 1 1 -M D}b/mIF{iMat 4 3 -1 $ put 2 copyfont `/OrigFontType ~ |/OrigFontName

~ | @ & E definefont iMat makefont Pscript_Windows_Font 3 1 $ put}b



/SavedCTM null |/CTMsave{/SavedCTM SavedCTM currentmatrix |}b/CTMrestore{

SavedCTM setmatrix}b/mp null |/ADO_mxRot null |/GDIHMatrix null |

/GDIHPatternDict 22 dict | GDIHPatternDict `/PatternType 1 |/PaintType 2 |

/Reps L2?{1}{5}? |/XStep 8 Reps mul |/YStep XStep |/BBox[0 0 XStep YStep]|

/TilingType 1 |/PaintProc{` 1 Lw[]0 setdash PaintData , exec E}b/FGnd null |

/BGnd null |/HS_Horizontal{horiz}b/HS_Vertical{vert}b/HS_FDiagonal{fdiag}b

/HS_BDiagonal{biag}b/HS_Cross{horiz vert}b/HS_DiagCross{fdiag biag}b/MaxXYStep

XStep YStep gt{XStep}{YStep}? |/horiz{Reps{0 4 M XStep 0 - 0 8 +}repeat 0 -8

Reps mul + K}b/vert{Reps{4 0 M 0 YStep - 8 0 +}repeat 0 -8 Reps mul + K}b/biag

{Reps{0 0 M MaxXYStep @ - 0 YStep neg M MaxXYStep @ - 0 8 +}repeat 0 -8 Reps

mul + 0 YStep M 8 8 - K}b/fdiag{Reps{0 0 M MaxXYStep @ neg - 0 YStep M

MaxXYStep @ neg - 0 8 +}repeat 0 -8 Reps mul + MaxXYStep @ M 8 -8 - K}b E

/makehatch{GDIHPatternDict/PaintData 3 -1 $ put CTMsave GDIHMatrix setmatrix

GDIHPatternDict matrix mp CTMrestore ~ U ~ 2 ^ put}b/h0{/h0/HS_Horizontal

makehatch}b/h1{/h1/HS_Vertical makehatch}b/h2{/h2/HS_FDiagonal makehatch}b/h3{

/h3/HS_BDiagonal makehatch}b/h4{/h4/HS_Cross makehatch}b/h5{/h5/HS_DiagCross

makehatch}b/GDIBWPatternDict 17 dict @ `/PatternType 1 |/PaintType L2?{1}{2}?

|/RepsV L2?{1}{6}? |/RepsH L2?{1}{5}? |/BBox[0 0 RepsH 1]|/TilingType 1 |

/XStep 1 |/YStep 1 |/Height 8 RepsV mul |/Width 8 |/mx[Width 0 0 Height neg 0

Height]|/FGnd null |/BGnd null |/SetBGndFGnd L2?{{BGnd null ne{BGnd aload !

sgco BBox aload ! 2 ^ sub ~ 3 ^ sub ~ rf}if FGnd null ne{FGnd aload ! sgco}if}

}{{}}? b/PaintProc{` SetBGndFGnd RepsH{Width Height F mx PaintData imagemask

Width 0 +}repeat E}b E |/GDIBWPatternMx null |/pfprep{save 4 1 $

/PatternOfTheDay 4 1 $ GDIBWPatternDict `/PaintData ~ |/BGnd ~ |/FGnd ~ | E

CTMsave GDIBWPatternMx setmatrix GDIBWPatternDict matrix mp CTMrestore ~ !}b

/hrf null |/prf{pfprep ~ 6 1 $ 5 hrf restore}b/GraphInit{GDIHMatrix null eq{

/SavedCTM matrix | : ADO_mxRot concat 0 0 snap + : 0.48 @ GDIHPatternDict `

YStep mul ~ XStep mul ~ dsnap YStep V ~ XStep V ~ E +S/GDIHMatrix matrix

currentmatrix readonly | ; : 0.24 -0.24 +S GDIBWPatternDict ` Width Height E

dsnap +S/GDIBWPatternMx matrix currentmatrix readonly | ; ;}if}b/cirp{360 0 An

C}b/ellp{CTMsave + +S 0.5 0 M 0 0 0.5 360 0 An C CTMrestore}b/rrp{/rad ~ |/y2

~ |/x2 ~ |/y1 ~ |/x1 ~ | x2 x1 add 2 V y1 M x1 y1 x1 y2 rad arct x1 y2 x2 y2

rad arct x2 y2 x2 y1 rad arct x2 y1 x1 y1 rad arct C}b/RRp{CTMsave + +S/dyS ~

|/dxS ~ | dxS 2 V 0 M 0 0 0 dyS 0.5 arct 0 dyS dxS dyS 0.5 arct dxS dyS dxS 0

0.5 arct dxS 0 0 0 0.5 arct C CTMrestore}b



L2? not g{/arct{arcto ! ! ! !}b/GDIpattfill{@ ` BGnd null ne PaintType 2 eq

and{: BGnd aload ! sgco fEOFill{O}{L}? ; FGnd aload ! U/fGray 2 ^ put{2}{4}?

-1 $}if E @ patterncalc : 4 ^/PaintType get 2 eq{fGray{6 -1 $ sg}{8 -3 $ sco}?

}if fEOFill{eoclip}{clip}? N patternfill ; N}b/hrf{/fGray 1 ^ 6 eq | -4 $ N rp

C/fEOFill F | GDIpattfill}b/hfMain{/fEOFill ~ |/fGray ~ | GDIpattfill}b/hf{T

hfMain}b/hfW{F hfMain}b/hs{currentpoint strokepath M hfW}b/pfMain{/fEOFill ~ |

pfprep GDIpattfill restore N}b/pf{T pfMain}b/pfW{F pfMain}b/ps{currentpoint

strokepath M pfW}b/mpstr 1 string |/mp{~ @ length 12 add dict copy `

/PatternCTM matrix currentmatrix |/PatternMatrix ~ |/PatWidth XStep mpstr

length mul |/PatHeight YStep |/FontType 3 |/Encoding 256 array | 3 string 0 1

255{Encoding ~ @ 3 ^ cvs cvn put}for !/FontMatrix matrix |/FontBBox BBox |

/BuildChar{! @ ` XStep 0 FontBBox aload ! setcachedevice/PaintProc , E : exec

;}b & E ~ @ 3 -1 $ definefont}b/patterncalc{` : PatternCTM setmatrix

PatternMatrix concat BBox aload ! ! ! + pathbbox ; PatHeight V ceiling 4 1 $

PatWidth V ceiling 4 1 $ PatHeight V floor 4 1 $ PatWidth V floor 4 1 $ 2 ^

sub cvi abs ~ 3 ^ sub cvi abs ~ 4 2 $ PatHeight mul ~ PatWidth mul ~ E}b

/patternfill{5 -1 $ @ ` Ji PatternCTM setmatrix PatternMatrix concat 0 2 ^ 2 ^

M 0 1 mpstr length 1 sub{1 ^ mpstr 3 1 $ put}for ! 2 ^{currentpoint 5 ^{mpstr

S}repeat YStep add M}repeat ! ! ! ! E}b}e



L2? g{/mp/makepattern , |/hrf{6 eq setAorABC setpattern rectfill}b/hf{

setAorABC setpattern O}b/hfW{setAorABC setpattern L}b/hs{setAorABC setpattern

K}b/pf{pfprep setpattern O restore N}b/pfW{pfprep setpattern L restore N}b/ps{

pfprep setpattern K restore N}b}e



/iw 0 |/ih 0 |/im_save 0 |/s 0 |/polarity 0 |/smoothflag 0 |/mystring 0 |/bpc

0 |/setup1asciiproc{[currentfile mystring/readhexstring cvx/! cvx]cvx bind}b

/setup1binaryproc{[currentfile mystring/readstring cvx/! cvx]cvx bind}b

/setup2asciiproc{currentfile/ASCII85Decode filter/RunLengthDecode filter}b

/setup2binaryproc{currentfile/RunLengthDecode filter}b/mycolorspace{colspABC}|

/myimagedict{/myimagedict 10 dict | myimagedict @ `/ImageType 1 |

/MultipleDataSource F | E}b/imageprocarray[/setup1binaryproc/setup1asciiproc

/setup2binaryproc/setup2asciiproc/setup1binarydecodeproc/setup1asciidecodeproc

]|/L2Polarity{{[1 0]}{[0 1]}?}b/Q{/im_save save | imageprocarray ~ get/s ~ , |

L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring ~

string |/bpc ~ |/ih ~ |/iw ~ |}b/X{/im_save save | imageprocarray ~ get/s ~ ,

| L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring

~ string |/bpc ~ |/ih ~ |/iw ~ |}b/Z{im_save restore}b/Y{sgco myimagedict @ `

/Width iw |/Height ih |/Decode polarity |/ImageMatrix[iw 0 0 ih 0 0]|

/DataSource s |/BitsPerComponent 1 |/Interpolate smoothflag | E imagemask}b



L2? not g{/setup2asciiproc{[/Level2ImagesError , aload ! T FatalErrorIf}b

/setup2binaryproc/setup2asciiproc , |/L2Polarity{}|/Y{sgco iw ih polarity[iw 0

0 ih 0 0]s imagemask}b}e



L2? not g{/testsystemdict{where{systemdict eq{T}{F}?}{F}?}b/c 1 |/colorimage

where{! T}{F}?{/c 0 statusdict `/processcolors where{! ! processcolors}{

/deviceinfo where{! deviceinfo/Colors known{!{deviceinfo/Colors get}}if}if}? E

| c 0 ne{/colorimage testsystemdict/setcolortransfer testsystemdict

/currentcolortransfer testsystemdict/currentcmykcolor testsystemdict and and

and not{/c 0 |}if}if}if c @ 1 ne ~ @ 3 ne ~ 4 ne and and{/c 0 |}if c 1 eq g{

/expandbw{expandfactor mul round cvi bwclut ~ get 255 V}b/doclutimage{!/bwclut

~ | bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/expandfactor ~ |[/expandbw ,/exec , @

currenttransfer ~]cvx bind settransfer iw ih bpc[iw 0 0 ih 0 0]s image}b}e c @

3 eq ~ 4 eq or g{/nullproc{{}}|/concatutil{/exec , 7 -1 $/exec ,}b/defsubclut{

1 add getinterval |}b/spconcattransfer{/Dclut ~ |/Cclut ~ |/Bclut ~ |/Aclut ~

|/ncompute ~ , | currentcolortransfer[{Aclut ncompute}concatutil]cvx[{Bclut

ncompute}concatutil]cvx[{Cclut ncompute}concatutil]cvx[{Dclut ncompute}

concatutil]cvx setcolortransfer}b/setuprgbcluts{/bit3x rgbclut length 3 sub |

/bit1x bit3x 3 idiv |/rclut rgbclut |/gclut rclut 1 bit3x defsubclut/bclut

rclut 2 bit3x defsubclut}b}e c 3 eq g{/3compute{~ bit3x mul round cvi get 255

V}b/doclutimage{/rgbclut ~ | ! setuprgbcluts/3compute rclut gclut bclut @

spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @]cvx nullproc nullproc

T 3 colorimage}b}e c 4 eq g{/ftoint{1 ~ sub 255 mul round cvi}b/stuffclut{

cmykindex 3 -1 $ put}b/4compute{~ bit4x mul round cvi get 255 V}b

/invalidcolortable? T |/computecmykclut{setuprgbcluts/bit4x rgbclut length 3

idiv 4 mul 4 sub |/cmykclut bit4x 4 add string |/cclut cmykclut |/mclut cclut

1 bit4x defsubclut/yclut cclut 2 bit4x defsubclut/kclut cclut 3 bit4x

defsubclut/cmykindex 0 | 0 1 bit1x{@/cmykindex ~ bit1x ~ sub 4 mul | 3 mul @

rclut ~ get 255 V ~ @ gclut ~ get 255 V ~ bclut ~ get 255 V setrgbcolor

currentcmykcolor ftoint kclut stuffclut ftoint yclut stuffclut ftoint mclut

stuffclut ftoint cclut stuffclut}for}b/doclutimage{/rgbclut ~ | !

invalidcolortable?{computecmykclut}if/4compute cclut mclut yclut kclut

spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @ @]cvx nullproc

nullproc nullproc T 4 colorimage}b}e c 0 eq g{/a{3 mul 3 getinterval

putinterval ~ 3 add ~ 3 copy}b/8lookup/a , |/4lookup{/byte 1 ^ | -4 bitshift a

byte 15 and a}b/2lookup{/byte 1 ^ | -6 bitshift a byte -4 bitshift 3 and a

byte -2 bitshift 3 and a byte 3 and a}b/colorexpand{mystringexp 0 rgbclut 3

copy 7 -1 $/mylookup , forall ! ! ! ! !}b/createexpandstr{/mystringexp ~

mystring length mul string |}b/doclutimage{/rgbclut ~ | !/mylookup bpc 8 eq{3

createexpandstr/8lookup}{bpc 4 eq{6 createexpandstr/4lookup}{12

createexpandstr/2lookup}?}? , | iw ih bpc[iw 0 0 ih 0 0][s/exec ,/colorexpand

,/exec ,]cvx F 3 colorimage}b}e/colorimage where{! T}{F}? g{/do24image{iw ih 8

[iw 0 0 ih 0 0]s F 3 colorimage}b}DefIf_El{/rgbtogray{/str ~ |/len str length

|/smlen len 3 idiv |/rstr str |/gstr str 1 len 1 sub getinterval |/bstr str 2

len 2 sub getinterval | str @ 0 1 smlen 1 sub{@ 3 mul rstr 1 ^ get 0.3 mul

gstr 2 ^ get 0.59 mul add bstr 3 -1 $ get 0.11 mul add round cvi put @}for ! 0

smlen getinterval}b/do24image{iw ih 8[iw 0 0 ih 0 0][s/exec ,/rgbtogray ,/exec

,]cvx bind image}b}e/doNimage{bpc 24 eq{do24image}{iw ih bpc[iw 0 0 ih 0 0]s

image}?}b}e



L2? g{/doclutimage{/rgbclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[

/Indexed colspABC hival rgbclut]setcolorspace myimagedict @ `/Width iw |

/Height ih |/Decode[0 hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |

/BitsPerComponent bpc |/Interpolate smoothflag | E image}b/doCMYKclutimage{

/CMYKclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[/Indexed/DeviceCMYK

hival CMYKclut]setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0

hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent bpc |

/Interpolate smoothflag | E image}b/doNimage{bpc 24 eq{colspABC}{colspA}?

setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode bpc 24 eq{[0 1 0 1

0 1]}{[0 1]}? |/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent

bpc 24 eq{8}{bpc}? |/Interpolate smoothflag | E image}b/doCMYKimage{

/DeviceCMYK setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0 1 0

1 0 1 0 1]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent 8 |

/Interpolate smoothflag | E image}b}e



/GreNewFont{10 dict @ 3 1 $ | @ ` 4 1 $/FontType 3 |/FontMatrix ~ |/FontBBox ~

|/Encoding 256 array | 0 1 255{Encoding ~/.notdef put}for/CharProcs 257 dict |

CharProcs/.notdef{}put/Metrics 257 dict | Metrics/.notdef 3 -1 $ put/BuildChar

{/char ~ |/fontdict ~ |/charname fontdict/Encoding get char get | fontdict

/Metrics get charname get aload ! setcachedevice fontdict ` Encoding char get

CharProcs ~ get E exec}| E definefont !}|/AddChar{` Encoding 3 1 $ put

CharProcs 3 1 $ put Metrics 3 1 $ put E}|



/FEbuf 2 string |/FEglyph 3 string |/FE{(G00)FEglyph copy ! 1 ~{@ 16 lt{

/offset 2 store}{/offset 1 store}? @ 16 FEbuf cvrs FEglyph ~ offset ~

putinterval 1 ^ ~ FEglyph cvn put}for}bind |/Type1Hdr{11 dict `/FontName ~ |

/PaintType ~ |/FontType 1 |/FontMatrix[1 3 ^ V 0 0 1 6 ^ V 0 0]| !/Encoding

256 array 0 1 255{1 ^ ~/.notdef put}for 3 ^ 3 ^ FE | ! !/FontBBox{0 0 0 0}| &

E currentfile eexec}bind |


/pp 1 string |/ss 1 string |/rledecodebinary{/DC 0 |/BC 0 |{DC mystring length

ge{exit}if currentfile ss readstring ! 0 get/BC ~ | BC 127 le{/BC BC 1 add |

DC 1 DC BC add 1 sub{mystring ~ currentfile ss readstring ! 0 get put}for}{/BC

257 BC sub | currentfile ss readstring ! 0 get/pp ~ | DC 1 DC BC add 1 sub{

mystring ~ pp put}for}?/DC DC BC add |}loop mystring}b/rledecodeascii{/DC 0 |

/BC 0 |{DC mystring length ge{exit}if currentfile ss readhexstring ! 0 get/BC

~ | BC 127 le{/BC BC 1 add | DC 1 DC BC add 1 sub{mystring ~ currentfile ss

readhexstring ! 0 get put}for}{/BC 257 BC sub | currentfile ss readhexstring !

0 get/pp ~ | DC 1 DC BC add 1 sub{mystring ~ pp put}for}?/DC DC BC add |}loop

mystring}b/setup1asciidecodeproc{[/rledecodeascii cvx]cvx bind}b

/setup1binarydecodeproc{[/rledecodebinary cvx]cvx bind}b


userdict/Pscript_Win_Compat 13 dict dup begin/bd{bind def}bind def/ld{load def

}bd/CB{pop pop pop pop}bind def/B{pop pop pop pop}bind def/$x matrix def/SS{

/pagesave save def}bind def/RS{/pagesave where{pop pagesave restore}{$x matrix

invertmatrix concat}ifelse}bind def/ANSIVec[0/grave 1/acute 2/circumflex 3

/tilde 4/macron 5/breve 6/dotaccent 7/dieresis 8/ring 9/cedilla 10

/hungarumlaut 11/ogonek 12/caron 13/dotlessi 39/quotesingle 96/grave 124/bar

130/quotesinglbase 131/florin 132/quotedblbase 133/ellipsis 134/dagger 135

/daggerdbl 136/circumflex 137/perthousand 138/Scaron 139/guilsinglleft 140/OE

145/quoteleft 146/quoteright 147/quotedblleft 148/quotedblright 149/bullet 150

/endash 151/emdash 152/tilde 153/trademark 154/scaron 155/guilsinglright 156

/oe 159/Ydieresis 160/space 161/exclamdown 164/currency 165/yen 166/brokenbar

167/section 168/dieresis 169/copyright 170/ordfeminine 171/guillemotleft 172

/logicalnot 173/hyphen 174/registered 175/macron 176/degree 177/plusminus 178

/twosuperior 179/threesuperior 180/acute 181/mu 182/paragraph 183

/periodcentered 184/cedilla 185/onesuperior 186/ordmasculine 187

/guillemotright 188/onequarter 189/onehalf 190/threequarters 191/questiondown

192/Agrave 193/Aacute 194/Acircumflex 195/Atilde 196/Adieresis 197/Aring 198

/AE 199/Ccedilla 200/Egrave 201/Eacute 202/Ecircumflex 203/Edieresis 204

/Igrave 205/Iacute 206/Icircumflex 207/Idieresis 208/Eth 209/Ntilde 210/Ograve

211/Oacute 212/Ocircumflex 213/Otilde 214/Odieresis 215/multiply 216/Oslash

217/Ugrave 218/Uacute 219/Ucircumflex 220/Udieresis 221/Yacute 222/Thorn 223

/germandbls 224/agrave 225/aacute 226/acircumflex 227/atilde 228/adieresis 229

/aring 230/ae 231/ccedilla 232/egrave 233/eacute 234/ecircumflex 235/edieresis

236/igrave 237/iacute 238/icircumflex 239/idieresis 240/eth 241/ntilde 242

/ograve 243/oacute 244/ocircumflex 245/otilde 246/odieresis 247/divide 248

/oslash 249/ugrave 250/uacute 251/ucircumflex 252/udieresis 253/yacute 254

/thorn 255/ydieresis]def currentdict{dup type/operatortype eq{[exch]cvx def}{

pop pop}ifelse}forall/initialize{currentdict exch begin begin}bind def

/terminate{/@FL where not{pop end end}{pop}ifelse}bind def/suspend/terminate

load def/resume/initialize load def/M/moveto load def end put/Courier findfont

10 scalefont setfont


end /ProcSet defineresource pop






Pscript_Win_Compat dup /initialize get exec

[ 0 1.000 -1.000 0 0 0 ] false /Pscript_Win_Driver /ProcSet findresource dup /initialize get exec





/mysetup [ 0.240 0 0 -0.240 8.880 592.800 ] | 






userdict begin /pagesave save def end mysetup concat colspRefresh : 1.000 1.000 1.000 sco 0 0 2550 3300 rf ; 






114 70 N M 1 1 rr 

114 70 N M 3000 2250 rr : 1.000 1.000 1.000 sco O ; 

114 70 N M 1 1 rr 

114 70 N M 1 1 rr 

114 70 N M 2401 1026 rr : 0.800 1.000 0.800 sco O ; 1 Lw 0 Lc 0 Lj solid 0.800 1.000 0.800 sco K 

234 176 N M 2131 295 rr : 114 70 3000 2250 rc 0.647 0 0.129 sco %%IncludeFont: Helvetica-Bold

(F0) cvn

0.960 

 (Helvetica-Bold) cvn /Type1 

T 

(Helvetica-Bold) cvn

mF 

(F0_100) cvn

F0

100 

xF 

F0_100

Ji 

264 193 M 

-0.100 0 (T)A 

0.100 0 (r)A 

0.400 0 (a)A 

-0.100 0 (d)A 

-0.800 0 (i)A 

0.700 0 (t)A 

-0.800 0 (i)A 

-0.100 0 (on)A 

0.400 0 (a)A 

1.000 0 32 -0.800 0 (l )D 

-0.100 0 (p)A 

0.400 0 (a)A 

0.100 0 (r)A 

-0.300 0 (t)A 

0.200 0 (i)A 

-0.300 0 (t)A 

0.200 0 (i)A 

-0.100 0 (o)A 

-1.100 0 (n)A 

0.200 0 (i)A 

0.300 0 32 -0.100 0 (ng )D 

-0.600 0 (a)A 

0.200 0 (l)A 

-0.100 0 (go)A 

0.100 0 (r)A 

-0.800 0 (i)A 

0.700 0 (t)A 

-0.100 0 (h)A 

0.100 0 (m)A 

0.800 0 32 -0.600 0 (s )D 

0.400 0 (c)A 

-0.100 0 (o)A 

0.100 0 (m)A 

-0.100 0 (pu)A 

-0.300 0 (t)A 

0.400 0 (e)A 

; : 114 70 3000 2250 rc 0.647 0 0.129 sco F0_100

Ji 

339 336 M 

-1.200 0 32 0.400 0 (a )D 

-0.100 0 (p)A 

0.400 0 (a)A 

0.100 0 (r)A 

-0.300 0 (t)A 

0.200 0 (i)A 

-0.300 0 (t)A 

0.200 0 (i)A 

-0.700 0 32 -0.100 0 (on d)D 

0.200 0 (i)A 

0.100 0 (r)A 

0.400 0 (e)A 

-0.600 0 (c)A 

0.700 0 (t)A 

-0.800 0 (l)A 

-0.200 0 32 0.400 0 (y )D 

-0.700 0 32 -0.100 0 (on )D 

-0.300 0 (t)A 

-0.100 0 (h)A 

-0.200 0 32 0.400 0 (e )D 

-0.100 0 (o)A 

0.100 0 (r)A 

-0.800 0 (i)A 

-0.100 0 (g)A 

0.200 0 (i)A 

-0.100 0 (n)A 

0.400 0 (a)A 

1.000 0 32 -0.800 0 (l )D 

-0.100 0 (g)A 

0.100 0 (r)A 

-0.600 0 (a)A 

-0.100 0 (ph)A 

0.700 0 (!)A 

; 

428 664 N M -7 1 - -9 0 - -20 1 - -22 1 - -23 1 - -23 3 - -21 5 - -9 3 - -8 5 - -7 5 - -6 6 - -4 8 - -4 8 - -3 11 - -2 11 - -2 25 - 0 26 - 2 27 - 3 27 - 5 23 - 2 11 - 3 9 - 7 17 - 9 15 - 11 14 - 12 13 - 13 10 - 14 10 - 13 8 - 14 6 - 14 5 - 16 4 - 17 2 - 17 1 - 17 -1 - 16 -2 - 14 -4 - 13 -5 - 6 -3 - 5 -5 - 9 -11 - 8 -13 - 7 -14 - 6 -14 - 7 -14 - 7 -11 - 3 -4 - 4 -4 - 7 -4 - 7 -2 - 5 -1 - 6 1 - 7 2 - 8 2 - 10 1 - 12 1 - 15 0 - 18 -1 - 20 -2 - 21 -1 - 21 0 - 21 0 - 21 1 - 18 3 - 9 3 - 9 4 - 17 10 - 17 12 - 16 12 - 16 11 - 7 5 - 7 4 - 7 2 - 7 1 - 6 0 - 6 -2 - 6 -4 - 6 -5 - 5 -7 - 6 -9 - 5 -9 - 5 -11 - 10 -22 - 8 -24 - 6 -24 - 4 -22 - 1 -9 - 0 -9 - -1 -14 - -4 -13 - -5 -12 - -7 -11 - -10 -11 - -10 -10 - -12 -11 - -13 -11 - -14 -12 - -17 -14 - -17 -14 - -20 -14 - -20 -13 - -22 -11 - -22 -9 - -23 -6 - -12 -1 - -13 -1 - -29 1 - -31 4 - -31 5 - -31 6 - -27 7 - -13 3 - -11 2 - -10 3 - -9 2 - -7 2 - -5 2 - -5 3 - -3 2 - -4 4 - -1 5 - 0 4 - 0 4 - -2 3 - -4 2 - -5 1 - -6 0 - -12 -1 - -7 -1 - -9 0 - -11 0 - -12 1 - C : 0.502 0.502 0.502 sco O ; 

420 656 N M -7 1 - -9 0 - -20 1 - -22 1 - -23 1 - -23 3 - -21 5 - -9 3 - -8 5 - -7 5 - -6 6 - -4 8 - -4 8 - -3 11 - -2 11 - -3 24 - 0 27 - 2 27 - 4 26 - 4 24 - 3 11 - 3 9 - 7 17 - 9 15 - 11 13 - 12 13 - 13 11 - 13 9 - 14 8 - 14 7 - 14 5 - 16 3 - 17 3 - 17 0 - 17 0 - 16 -3 - 14 -3 - 13 -5 - 6 -3 - 5 -5 - 9 -11 - 8 -13 - 7 -15 - 6 -14 - 7 -13 - 7 -11 - 3 -5 - 4 -3 - 7 -5 - 6 -2 - 6 0 - 6 1 - 7 2 - 8 2 - 10 1 - 12 1 - 15 0 - 18 -1 - 20 -2 - 20 -1 - 22 0 - 21 0 - 20 1 - 19 3 - 9 3 - 8 3 - 17 10 - 17 12 - 17 12 - 15 12 - 8 4 - 7 4 - 7 3 - 7 1 - 6 0 - 6 -2 - 6 -4 - 6 -6 - 5 -7 - 6 -8 - 5 -10 - 5 -10 - 10 -23 - 8 -24 - 6 -24 - 4 -21 - 1 -10 - 0 -8 - -1 -14 - -4 -13 - -5 -12 - -7 -11 - -10 -11 - -10 -10 - -12 -11 - -13 -11 - -14 -12 - -17 -14 - -17 -14 - -20 -14 - -20 -13 - -22 -12 - -22 -8 - -23 -6 - -12 -1 - -13 -1 - -29 1 - -31 4 - -31 5 - -31 6 - -27 7 - -13 3 - -11 2 - -10 3 - -9 2 - -7 2 - -6 2 - -4 2 - -3 2 - -4 5 - -2 4 - 0 5 - 0 3 - -1 4 - -4 2 - -6 1 - -5 0 - -12 -1 - -8 -1 - -8 0 - -11 0 - -12 1 - C : 0.200 0.200 0.800 sco O ; 

1820 653 N M -7 1 - -9 0 - -20 1 - -22 1 - -23 1 - -23 3 - -21 5 - -9 4 - -8 4 - -7 6 - -6 6 - -4 8 - -4 9 - -3 11 - -2 11 - -2 26 - 0 27 - 2 28 - 3 28 - 5 24 - 2 11 - 3 10 - 7 17 - 9 16 - 11 14 - 12 13 - 13 11 - 14 10 - 13 8 - 14 7 - 15 5 - 16 4 - 16 2 - 17 1 - 17 -1 - 16 -2 - 14 -4 - 13 -5 - 6 -4 - 5 -4 - 9 -11 - 8 -14 - 7 -15 - 7 -15 - 6 -13 - 7 -12 - 3 -4 - 4 -4 - 7 -5 - 7 -2 - 5 0 - 6 1 - 7 2 - 8 2 - 10 1 - 12 1 - 15 0 - 18 -2 - 20 -1 - 21 -1 - 22 -1 - 21 0 - 20 2 - 18 3 - 9 3 - 9 3 - 17 11 - 17 12 - 16 13 - 16 11 - 7 5 - 7 4 - 7 3 - 7 1 - 6 0 - 6 -2 - 6 -4 - 6 -6 - 5 -7 - 6 -9 - 5 -10 - 5 -11 - 10 -23 - 8 -25 - 6 -25 - 4 -22 - 1 -10 - 0 -9 - -1 -15 - -3 -13 - -6 -12 - -7 -12 - -9 -11 - -11 -10 - -12 -11 - -13 -12 - -14 -13 - -17 -14 - -17 -15 - -20 -14 - -20 -13 - -22 -12 - -22 -9 - -23 -6 - -12 -2 - -13 0 - -29 1 - -31 3 - -31 6 - -30 6 - -28 7 - -13 3 - -11 3 - -10 3 - -9 2 - -7 2 - -5 2 - -5 3 - -3 2 - -4 5 - -1 4 - 0 5 - 0 3 - -2 4 - -4 2 - -5 1 - -6 0 - -5 0 - -7 -1 - -7 -1 - -9 0 - -10 0 - -13 1 - C : 0.502 0.502 0.502 sco O ; 

1812 645 N M -7 1 - -9 0 - -20 1 - -22 0 - -23 2 - -23 3 - -21 5 - -9 3 - -8 5 - -7 5 - -6 7 - -4 8 - -4 9 - -3 10 - -2 12 - -2 25 - 0 28 - 2 28 - 3 27 - 2 13 - 3 12 - 2 10 - 3 10 - 7 17 - 9 16 - 11 14 - 12 13 - 13 11 - 14 10 - 13 8 - 14 7 - 14 5 - 16 4 - 17 2 - 17 1 - 17 -1 - 16 -2 - 14 -4 - 13 -5 - 6 -4 - 5 -4 - 9 -11 - 8 -14 - 7 -15 - 6 -15 - 7 -13 - 7 -12 - 3 -4 - 4 -4 - 7 -5 - 7 -2 - 5 0 - 6 1 - 7 2 - 8 2 - 10 1 - 12 1 - 15 0 - 18 -1 - 20 -2 - 21 -1 - 21 0 - 21 0 - 21 1 - 18 3 - 9 3 - 9 4 - 17 10 - 17 12 - 16 13 - 16 12 - 7 4 - 7 4 - 7 3 - 7 1 - 6 0 - 6 -2 - 6 -4 - 6 -6 - 5 -7 - 6 -9 - 5 -10 - 5 -10 - 10 -24 - 8 -25 - 6 -24 - 4 -22 - 1 -10 - 0 -9 - -1 -15 - -4 -14 - -5 -12 - -7 -11 - -10 -11 - -10 -11 - -12 -10 - -13 -12 - -14 -13 - -17 -14 - -17 -15 - -20 -14 - -20 -14 - -22 -11 - -22 -9 - -11 -4 - -12 -2 - -12 -2 - -13 0 - -29 1 - -31 3 - -31 6 - -31 6 - -27 7 - -13 3 - -11 3 - -10 3 - -9 2 - -7 2 - -5 2 - -5 2 - -3 2 - -4 5 - -1 5 - 0 4 - 0 4 - -2 3 - -4 3 - -5 1 - -6 0 - -12 -1 - -7 -1 - -9 -1 - -11 1 - -12 1 - C : 0.200 0.200 0.800 sco O ; 

N 1929 615.500 M 2 1 rr : 0 0 0 sco O ; 

N 1928 616.500 M 4 1 rr : 0 0 0 sco O ; 

N 1927 617.500 M 6 1 rr : 0 0 0 sco O ; 

N 1926 618.500 M 8 1 rr : 0 0 0 sco O ; 

N 1927 619.500 M 8 1 rr : 0 0 0 sco O ; 

N 1928 620.500 M 8 1 rr : 0 0 0 sco O ; 

N 1929 621.500 M 7 1 rr : 0 0 0 sco O ; 

N 1930 622.500 M 7 1 rr : 0 0 0 sco O ; 

N 1931 623.500 M 7 1 rr : 0 0 0 sco O ; 

N 1931 624.500 M 8 1 rr : 0 0 0 sco O ; 

N 1932 625.500 M 8 1 rr : 0 0 0 sco O ; 

N 1933 626.500 M 8 1 rr : 0 0 0 sco O ; 

N 1934 627.500 M 8 1 rr : 0 0 0 sco O ; 

N 1935 628.500 M 8 1 rr : 0 0 0 sco O ; 

N 1936 629.500 M 9 1 rr : 0 0 0 sco O ; 

N 1937 630.500 M 9 1 rr : 0 0 0 sco O ; 

N 1938 631.500 M 9 1 rr : 0 0 0 sco O ; 

N 1940 632.500 M 8 1 rr : 0 0 0 sco O ; 

N 1941 633.500 M 8 1 rr : 0 0 0 sco O ; 

N 1942 634.500 M 8 1 rr : 0 0 0 sco O ; 

N 1943 635.500 M 8 1 rr : 0 0 0 sco O ; 

N 1944 636.500 M 8 1 rr : 0 0 0 sco O ; 

N 1945 637.500 M 8 1 rr : 0 0 0 sco O ; 

N 1946 638.500 M 7 1 rr : 0 0 0 sco O ; 

N 1947 639.500 M 7 1 rr : 0 0 0 sco O ; 

N 1948 640.500 M 7 1 rr : 0 0 0 sco O ; 

N 1948 641.500 M 8 1 rr : 0 0 0 sco O ; 

N 1949 642.500 M 8 1 rr : 0 0 0 sco O ; 

N 1950 643.500 M 8 1 rr : 0 0 0 sco O ; 

N 1951 644.500 M 8 1 rr : 0 0 0 sco O ; 

N 1952 645.500 M 8 1 rr : 0 0 0 sco O ; 

N 1953 646.500 M 7 1 rr : 0 0 0 sco O ; 

N 1954 647.500 M 7 1 rr : 0 0 0 sco O ; 

N 1955 648.500 M 7 1 rr : 0 0 0 sco O ; 

N 1955 649.500 M 8 1 rr : 0 0 0 sco O ; 

N 1956 650.500 M 8 1 rr : 0 0 0 sco O ; 

N 1957 651.500 M 8 1 rr : 0 0 0 sco O ; 

N 1958 652.500 M 7 1 rr : 0 0 0 sco O ; 

N 1959 653.500 M 7 1 rr : 0 0 0 sco O ; 

N 1960 654.500 M 7 1 rr : 0 0 0 sco O ; 

N 1960 655.500 M 8 1 rr : 0 0 0 sco O ; 

N 1961 656.500 M 7 1 rr : 0 0 0 sco O ; 

N 1962 657.500 M 7 1 rr : 0 0 0 sco O ; 

N 1963 658.500 M 7 1 rr : 0 0 0 sco O ; 

N 1963 659.500 M 8 1 rr : 0 0 0 sco O ; 

N 1964 660.500 M 7 1 rr : 0 0 0 sco O ; 

N 1965 661.500 M 7 1 rr : 0 0 0 sco O ; 

N 1966 662.500 M 7 1 rr : 0 0 0 sco O ; 

N 1966 663.500 M 8 1 rr : 0 0 0 sco O ; 

N 1967 664.500 M 7 1 rr : 0 0 0 sco O ; 

N 1968 665.500 M 7 1 rr : 0 0 0 sco O ; 

N 1969 666.500 M 7 1 rr : 0 0 0 sco O ; 

N 1969 667.500 M 7 1 rr : 0 0 0 sco O ; 

N 1971 668.500 M 6 1 rr : 0 0 0 sco O ; 

N 1971 669.500 M 6 1 rr : 0 0 0 sco O ; 

N 1972 670.500 M 6 1 rr : 0 0 0 sco O ; 

N 1972 671.500 M 6 1 rr : 0 0 0 sco O ; 

N 1973 672.500 M 6 1 rr : 0 0 0 sco O ; 

N 1973 673.500 M 6 1 rr : 0 0 0 sco O ; 

N 1974 674.500 M 6 1 rr : 0 0 0 sco O ; 

N 1974 675.500 M 6 1 rr : 0 0 0 sco O ; 

N 1974 676.500 M 7 1 rr : 0 0 0 sco O ; 

N 1975 677.500 M 6 1 rr : 0 0 0 sco O ; 

N 1975 678.500 M 7 1 rr : 0 0 0 sco O ; 

N 1976 679.500 M 6 1 rr : 0 0 0 sco O ; 

N 1976 680.500 M 7 1 rr : 0 0 0 sco O ; 

N 1977 681.500 M 6 1 rr : 0 0 0 sco O ; 

N 1977 682.500 M 7 1 rr : 0 0 0 sco O ; 

N 1978 683.500 M 6 1 rr : 0 0 0 sco O ; 

N 1978 684.500 M 7 1 rr : 0 0 0 sco O ; 

N 1979 685.500 M 6 1 rr : 0 0 0 sco O ; 

N 1979 686.500 M 7 1 rr : 0 0 0 sco O ; 

N 1980 687.500 M 6 1 rr : 0 0 0 sco O ; 

N 1980 688.500 M 7 1 rr : 0 0 0 sco O ; 

N 1981 689.500 M 6 1 rr : 0 0 0 sco O ; 

N 1981 690.500 M 7 1 rr : 0 0 0 sco O ; 

N 1982 691.500 M 6 1 rr : 0 0 0 sco O ; 

N 1982 692.500 M 7 1 rr : 0 0 0 sco O ; 

N 1983 693.500 M 6 1 rr : 0 0 0 sco O ; 

N 1983 694.500 M 6 1 rr : 0 0 0 sco O ; 

N 1983 695.500 M 7 1 rr : 0 0 0 sco O ; 

N 1984 696.500 M 6 1 rr : 0 0 0 sco O ; 

N 1984 697.500 M 7 1 rr : 0 0 0 sco O ; 

N 1985 698.500 M 6 1 rr : 0 0 0 sco O ; 

N 1985 699.500 M 7 1 rr : 0 0 0 sco O ; 

N 1986 700.500 M 6 1 rr : 0 0 0 sco O ; 

N 1986 701.500 M 7 1 rr : 0 0 0 sco O ; 

N 1987 702.500 M 6 1 rr : 0 0 0 sco O ; 

N 1987 703.500 M 6 1 rr : 0 0 0 sco O ; 

N 1987 704.500 M 7 1 rr : 0 0 0 sco O ; 

N 1988 705.500 M 6 1 rr : 0 0 0 sco O ; 

N 1988 706.500 M 7 1 rr : 0 0 0 sco O ; 

N 1989 707.500 M 6 1 rr : 0 0 0 sco O ; 

N 1989 708.500 M 7 1 rr : 0 0 0 sco O ; 

N 1990 709.500 M 6 1 rr : 0 0 0 sco O ; 

N 1990 710.500 M 6 1 rr : 0 0 0 sco O ; 

N 1990 711.500 M 7 1 rr : 0 0 0 sco O ; 

N 1991 712.500 M 6 1 rr : 0 0 0 sco O ; 

N 1991 713.500 M 7 1 rr : 0 0 0 sco O ; 

N 1992 714.500 M 6 1 rr : 0 0 0 sco O ; 

N 1992 715.500 M 7 1 rr : 0 0 0 sco O ; 

N 1993 716.500 M 6 1 rr : 0 0 0 sco O ; 

N 1993 717.500 M 7 1 rr : 0 0 0 sco O ; 

N 1994 718.500 M 6 1 rr : 0 0 0 sco O ; 

N 1994 719.500 M 7 1 rr : 0 0 0 sco O ; 

N 1995 720.500 M 6 1 rr : 0 0 0 sco O ; 

N 1995 721.500 M 7 1 rr : 0 0 0 sco O ; 

N 1996 722.500 M 6 1 rr : 0 0 0 sco O ; 

N 1996 723.500 M 7 1 rr : 0 0 0 sco O ; 

N 1997 724.500 M 6 1 rr : 0 0 0 sco O ; 

N 1997 725.500 M 7 1 rr : 0 0 0 sco O ; 

N 1998 726.500 M 6 1 rr : 0 0 0 sco O ; 

N 1998 727.500 M 7 1 rr : 0 0 0 sco O ; 

N 1999 728.500 M 6 1 rr : 0 0 0 sco O ; 

N 1999 729.500 M 7 1 rr : 0 0 0 sco O ; 

N 2000 730.500 M 6 1 rr : 0 0 0 sco O ; 

N 2000 731.500 M 7 1 rr : 0 0 0 sco O ; 

N 2001 732.500 M 6 1 rr : 0 0 0 sco O ; 

N 2001 733.500 M 6 1 rr : 0 0 0 sco O ; 

N 2001 734.500 M 7 1 rr : 0 0 0 sco O ; 

N 2002 735.500 M 6 1 rr : 0 0 0 sco O ; 

N 2002 736.500 M 7 1 rr : 0 0 0 sco O ; 

N 2003 737.500 M 6 1 rr : 0 0 0 sco O ; 

N 2003 738.500 M 7 1 rr : 0 0 0 sco O ; 

N 2004 739.500 M 6 1 rr : 0 0 0 sco O ; 

N 2004 740.500 M 7 1 rr : 0 0 0 sco O ; 

N 2005 741.500 M 6 1 rr : 0 0 0 sco O ; 

N 2005 742.500 M 7 1 rr : 0 0 0 sco O ; 

N 2006 743.500 M 6 1 rr : 0 0 0 sco O ; 

N 2006 744.500 M 7 1 rr : 0 0 0 sco O ; 

N 2007 745.500 M 6 1 rr : 0 0 0 sco O ; 

N 2007 746.500 M 7 1 rr : 0 0 0 sco O ; 

N 2008 747.500 M 7 1 rr : 0 0 0 sco O ; 

N 2008 748.500 M 7 1 rr : 0 0 0 sco O ; 

N 2009 749.500 M 7 1 rr : 0 0 0 sco O ; 

N 2010 750.500 M 6 1 rr : 0 0 0 sco O ; 

N 2010 751.500 M 7 1 rr : 0 0 0 sco O ; 

N 2011 752.500 M 7 1 rr : 0 0 0 sco O ; 

N 2011 753.500 M 7 1 rr : 0 0 0 sco O ; 

N 2012 754.500 M 7 1 rr : 0 0 0 sco O ; 

N 2013 755.500 M 7 1 rr : 0 0 0 sco O ; 

N 2013 756.500 M 8 1 rr : 0 0 0 sco O ; 

N 2014 757.500 M 7 1 rr : 0 0 0 sco O ; 

N 2015 758.500 M 7 1 rr : 0 0 0 sco O ; 

N 2016 759.500 M 7 1 rr : 0 0 0 sco O ; 

N 2016 760.500 M 9 1 rr : 0 0 0 sco O ; 

N 2017 761.500 M 9 1 rr : 0 0 0 sco O ; 

N 2018 762.500 M 9 1 rr : 0 0 0 sco O ; 

N 2019 763.500 M 9 1 rr : 0 0 0 sco O ; 

N 2020 764.500 M 10 1 rr : 0 0 0 sco O ; 

N 2022 765.500 M 9 1 rr : 0 0 0 sco O ; 

N 2023 766.500 M 9 1 rr : 0 0 0 sco O ; 

N 2024 767.500 M 10 1 rr : 0 0 0 sco O ; 

N 2025 768.500 M 10 1 rr : 0 0 0 sco O ; 

N 2027 769.500 M 9 1 rr : 0 0 0 sco O ; 

N 2028 770.500 M 10 1 rr : 0 0 0 sco O ; 

N 2029 771.500 M 10 1 rr : 0 0 0 sco O ; 

N 2031 772.500 M 10 1 rr : 0 0 0 sco O ; 

N 2032 773.500 M 10 1 rr : 0 0 0 sco O ; 

N 2033 774.500 M 10 1 rr : 0 0 0 sco O ; 

N 2035 775.500 M 10 1 rr : 0 0 0 sco O ; 

N 2036 776.500 M 10 1 rr : 0 0 0 sco O ; 

N 2038 777.500 M 9 1 rr : 0 0 0 sco O ; 

N 2039 778.500 M 10 1 rr : 0 0 0 sco O ; 

N 2040 779.500 M 10 1 rr : 0 0 0 sco O ; 

N 2042 780.500 M 9 1 rr : 0 0 0 sco O ; 

N 2043 781.500 M 9 1 rr : 0 0 0 sco O ; 

N 2044 782.500 M 8 1 rr : 0 0 0 sco O ; 

N 2046 783.500 M 7 1 rr : 0 0 0 sco O ; 

N 2047 784.500 M 7 1 rr : 0 0 0 sco O ; 

N 2047 785.500 M 7 1 rr : 0 0 0 sco O ; 

N 2048 786.500 M 7 1 rr : 0 0 0 sco O ; 

N 2049 787.500 M 7 1 rr : 0 0 0 sco O ; 

N 2049 788.500 M 7 1 rr : 0 0 0 sco O ; 

N 2050 789.500 M 7 1 rr : 0 0 0 sco O ; 

N 2051 790.500 M 6 1 rr : 0 0 0 sco O ; 

N 2051 791.500 M 7 1 rr : 0 0 0 sco O ; 

N 2052 792.500 M 6 1 rr : 0 0 0 sco O ; 

N 2052 793.500 M 7 1 rr : 0 0 0 sco O ; 

N 2053 794.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 795.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 796.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 797.500 M 7 1 rr : 0 0 0 sco O ; 

N 2054 798.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 799.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 800.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 801.500 M 7 1 rr : 0 0 0 sco O ; 

N 2055 802.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 803.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 804.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 805.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 806.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 807.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 808.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 809.500 M 7 1 rr : 0 0 0 sco O ; 

N 2056 810.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 811.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 812.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 813.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 814.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 815.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 816.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 817.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 818.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 819.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 820.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 821.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 822.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 823.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 824.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 825.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 826.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 827.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 828.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 829.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 830.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 831.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 832.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 833.500 M 7 1 rr : 0 0 0 sco O ; 

N 2055 834.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 835.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 836.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 837.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 838.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 839.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 840.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 841.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 842.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 843.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 844.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 845.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 846.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 847.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 848.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 849.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 850.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 851.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 852.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 853.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 854.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 855.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 856.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 857.500 M 7 1 rr : 0 0 0 sco O ; 

N 2054 858.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 859.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 860.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 861.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 862.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 863.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 864.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 865.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 866.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 867.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 868.500 M 7 1 rr : 0 0 0 sco O ; 

N 2053 869.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 870.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 871.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 872.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 873.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 874.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 875.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 876.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 877.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 878.500 M 6 1 rr : 0 0 0 sco O ; 

1394 762 N M 0 22 - -257 0 - 0 46 - 257 0 - 0 23 - 86 -46 - -86 -45 - C : 0.502 0.502 0.502 sco O ; 

1386 753 N M 0 23 - -257 0 - 0 46 - 257 0 - 0 22 - 85 -45 - -85 -46 - C : 0 0.800 0.600 sco O ; 

LH 

pagesave restore







/Pscript_Win_Driver /ProcSet findresource dup /terminate get exec

Pscript_Win_Compat dup /terminate get exec



restore gr
%
% End Imported PIC File: slide7.eps
%
% Polyline
%
% Begin Imported EPS File: slide8.eps
%
n gs
9900 389 tr
15.269291 -15.269767 sc
0 -430 tr
-35 -150 tr
save
/showpage {} def
% EPS file follows:















/defineresource where{pop}{userdict begin/defineresource{userdict/Resources 2

copy known{get begin}{15 dict dup begin put}ifelse exch readonly exch

currentdict 1 index known not{dup 30 dict def}if load 3 -1 roll 2 index put

end}bind readonly def/findresource{userdict/Resources get exch get exch get}

bind readonly def/resourceforall{pop pop pop pop}bind readonly def

/resourcestatus{userdict/Resources 2 copy known{get exch 2 copy known{get exch

known{0 -1 true}{pop pop false}ifelse}{pop pop pop false}ifelse}{pop pop false

}ifelse}bind readonly def end}ifelse



/Pscript_Win_Driver 200 dict dup begin


/FatalErrorIf{{initgraphics findfont exch scalefont setfont counttomark 3 div

cvi{moveto show}repeat showpage quit}{cleartomark}ifelse}bind def


/VM? {vmstatus exch sub exch pop gt { [

(This job requires more memory than is available in this printer.) 100 500

(Try one or more of the following, and then print again:) 100 485

(In the PostScript dialog box, click Optimize For Portability.) 115 470

(In the Device Options dialog box, make sure the Available Printer Memory is accurate.) 115 455

(Reduce the number of fonts in the document.) 115 440

(Print the document in parts.) 115 425

12 /Times-Roman showpage

(%%[ PrinterError: Low Printer VM ]%%) =

true FatalErrorIf}if} bind def


/|/def load def/,/load load |/~/exch , |/?/ifelse , |/!/pop , |/`/begin , |/^

/index , |/@/dup , |/+/translate , |/$/roll , |/U/userdict , |/M/moveto , |/-

/rlineto , |/&/currentdict , |/:/gsave , |/;/grestore , |/F/false , |/T/true ,

|/N/newpath , |/E/end , |/Ac/arc , |/An/arcn , |/A/ashow , |/D/awidthshow , |

/C/closepath , |/V/div , |/O/eofill , |/L/fill , |/I/lineto , |/-C/rcurveto ,

|/-M/rmoveto , |/+S/scale , |/Ji/setfont , |/Lc/setlinecap , |/Lj/setlinejoin

, |/Lw/setlinewidth , |/S/show , |/LH/showpage , |/K/stroke , |/W/widthshow ,

|/R/rotate , |/b{bind |}bind |/bd{bind |}bind |/xd{~ |}bd/ld{, |}bd/lw/Lw ld

/lc/Lc ld/lj/Lj ld/sg/setgray ld/L2? F/languagelevel where{! languagelevel 2

ge{! T}if}if |/g{@ not{U/DefIf_save save put}if U/DefIf_bool 2 ^ put}b

/DefIf_El{if U/DefIf_bool get not @{U/DefIf_save get restore}if}b/e{DefIf_El !

}b/self & |/reinitialize{[/TextInit/GraphInit/UtilsInit counttomark{@ where{

self eq}{F}?{cvx exec}{!}?}repeat cleartomark}b/initialize{`{/ADO_mxRot ~ |

/TextInitialised? F | reinitialize E}{U/Pscript_Win_Data 200 dict @ ` put

/ADO_mxRot ~ |/TextInitialised? F | reinitialize}?}b/terminate{!{& self eq{

exit}{E}?}loop E}b/suspend/terminate , |/resume{` Pscript_Win_Data `}b/snap{

transform 0.25 sub round 0.25 add ~ 0.25 sub round 0.25 add ~ itransform}b

/dsnap{dtransform round ~ round ~ idtransform}b<04>cvn{}|/setjn{{statusdict

/jobname known{statusdict/jobname 3 -1 $ put}if}stopped cleartomark}b/solid{[]

0 setdash}b/setdsh{0 setdash}b/colspRefresh{}b/rp{4 2 $ M 1 ^ 0 - 0 ~ - neg 0

-}b/rr{1 ^ 0 - 0 ~ - neg 0 - C}b



L2? not g{/rf{N rp L}b/fx{1 1 dtransform @ 0 ge{1 sub 1}{1 add -0.25}? 3 -1 $

@ 0 ge{1 sub 1}{1 add -0.25}? 3 1 $ 4 1 $ idtransform 4 -2 $ idtransform}b/BZ{

4 -2 $ snap + +S fx rf}b/rs{N rp C K}b/rc{N rp clip N}b/sg{setgray}b/sco{

setrgbcolor}b/sgco{{sg}{sco}?}b}e



L2? g{/colspA/DeviceGray |/colspABC/DeviceRGB |/setAorABC{{colspA}{colspABC}?

setcolorspace}b/rf/rectfill , |/fx{1 1 dtransform @ 0 ge{1 sub 0.5}{1 add -0.5

}? 3 -1 $ @ 0 ge{1 sub 0.5}{1 add -0.5}? 3 1 $ 4 1 $ idtransform 4 -2 $

idtransform}b/BZ{4 -2 $ snap + +S fx rf}b/rs/rectstroke , |/rc/rectclip , |/sg

{@ @ setcolor}b/sco{setcolor}b/colspRefresh{colspABC setcolorspace}b/sgco{{sg

}{sco}?}b/UtilsInit{F setglobal}b/definecolorrendering{/ColorRendering

defineresource !}b/findcolorrendering{@/ColorRendering resourcestatus{! !

/ColorRendering findresource T}{! F}?}b/selectcolorrendering{@/ColorRendering

resourcestatus{! !/ColorRendering}{!/DefaultColorRendering/ColorRendering}?

findresource setcolorrendering}b}e



/bullets{{/bullet}repeat}b/ANSIEncoding[/grave/acute/circumflex/tilde/macron

/breve/dotaccent/dieresis/ring/cedilla/hungarumlaut/ogonek/caron/dotlessi 18

bullets StandardEncoding 32 95 getinterval aload ! 3 bullets/quotesinglbase

/florin/quotedblbase/ellipsis/dagger/daggerdbl/circumflex/perthousand/Scaron

/guilsinglleft/OE 4 bullets/quoteleft/quoteright/quotedblleft/quotedblright

/bullet/endash/emdash/tilde/trademark/scaron/guilsinglright/oe 2 bullets

/Ydieresis/space/exclamdown/cent/sterling/currency/yen/brokenbar/section

/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/hyphen/registered

/macron/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph

/periodcentered/cedilla/onesuperior/ordmasculine/guillemotright/onequarter

/onehalf/threequarters/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis

/Aring/AE/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute

/Icircumflex/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis

/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls

/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute

/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde/ograve

/oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex

/udieresis/yacute/thorn/ydieresis]| ANSIEncoding @ 39/quotesingle put 96/grave

put/ANSIEncodingOld ANSIEncoding 256 array copy | ANSIEncodingOld @[138 153

154 169 172 174 177 178 179 181 185 188 189 190 208 215 221 222 240 247 253

254]{/bullet put @}forall 166/bar put 176/ring put



/TextInit{TextInitialised? not{/Pscript_Windows_Font & |/TextInitialised? T |

/fM[1 0 0 -1 0 0]|/mFM matrix |/iMat[1 0 0.212557 neg 1 0 0]|}if}b/xUP null |

/yUP null |/uW null |/xSP null |/ySP null |/sW null |/copyfont{1 ^ length add

dict `{1 ^/FID ne{|}{! !}?}forall & E}b/rF{3 copyfont @ `/Encoding

ANSIEncoding &/CharStrings known{CharStrings/Eth known not{! ANSIEncodingOld}

if}if | E}b/mF{findfont ~{@/Encoding get @ StandardEncoding eq{! T}{{

ISOLatin1Encoding}stopped{! F}{eq}?{T}{@ ` T 32 1 127{Encoding 1 ^ get

StandardEncoding 3 -1 $ get eq and}for E}?}?}{F}?{rF}{3 copyfont}? `

/OrigFontType ~ |/OrigFontName ~ | & E 2 ^ ~ definefont fM 5 4 -1 $ put fM 4 0

put fM makefont Pscript_Windows_Font 3 1 $ put}b/xF{scalefont

Pscript_Windows_Font 3 1 $ put}b/xMF{mFM astore makefont Pscript_Windows_Font

3 1 $ put}b/xF2/scalefont , |/xMF2{mFM astore makefont}b/sLT{: Lw -M

currentpoint snap M 0 - 0 Lc K ;}b/sSU{N/uW ~ |/yUP ~ |/xUP ~ |}b/sU{xUP yUP

uW sLT}b/sST{N/sW ~ |/ySP ~ |/xSP ~ |}b/sT{xSP ySP sW sLT}b/sR{: + R 0 0 M}b

/sRxy{: matrix astore concat 0 0 M}b/eR/; , |



/mBF{@ 4 copyfont `/FontName ~ |/OrigFontType ~ |/OrigFontName ~ | 0

FontMatrix idtransform ! &/PaintType known{PaintType 0 eq{/PaintType 2 |

/StrokeWidth ~ |}{PaintType 1 eq PaintType 2 eq or PaintType 3 eq or &

/StrokeWidth known and{StrokeWidth add/StrokeWidth ~ |}{!}?}?}{!}? @ & E

definefont Pscript_Windows_Font 3 1 $ put}b/xBF{Pscript_Windows_Font ` 1 ^

/FontName get 1 ^ scalefont 3 1 $ scalefont 2 copy ~ | ~ ! | E}b/xMBF{mFM

astore Pscript_Windows_Font ` 1 ^/FontName get 1 ^ makefont 3 1 $ makefont 2

copy ~ | ~ ! | E}b/xBF2{/sB0 ~ mBF/sB1 sB0 3 -1 $ xBF sB1}b/xMBF2{/sB0 ~ mBF

mFM astore/sB1 sB0 3 -1 $ xMBF sB1}b/sB{: Pscript_Windows_Font currentfont get

Ji @ S ; S}b/asB{: Pscript_Windows_Font currentfont get Ji 3 copy A ; A}b/wsB{

: Pscript_Windows_Font currentfont get Ji 4 copy W ; W}b/awsB{:

Pscript_Windows_Font currentfont get Ji 6 copy D ; D}b/sBT3{: @ S ; 1 1 -M S}b

/asBT3{: 3 copy A ; 1 1 -M A}b/wsBT3{: 4 copy W ; 1 1 -M W}b/awsBT3{: 6 copy D

; 1 1 -M D}b/mIF{iMat 4 3 -1 $ put 2 copyfont `/OrigFontType ~ |/OrigFontName

~ | @ & E definefont iMat makefont Pscript_Windows_Font 3 1 $ put}b



/SavedCTM null |/CTMsave{/SavedCTM SavedCTM currentmatrix |}b/CTMrestore{

SavedCTM setmatrix}b/mp null |/ADO_mxRot null |/GDIHMatrix null |

/GDIHPatternDict 22 dict | GDIHPatternDict `/PatternType 1 |/PaintType 2 |

/Reps L2?{1}{5}? |/XStep 8 Reps mul |/YStep XStep |/BBox[0 0 XStep YStep]|

/TilingType 1 |/PaintProc{` 1 Lw[]0 setdash PaintData , exec E}b/FGnd null |

/BGnd null |/HS_Horizontal{horiz}b/HS_Vertical{vert}b/HS_FDiagonal{fdiag}b

/HS_BDiagonal{biag}b/HS_Cross{horiz vert}b/HS_DiagCross{fdiag biag}b/MaxXYStep

XStep YStep gt{XStep}{YStep}? |/horiz{Reps{0 4 M XStep 0 - 0 8 +}repeat 0 -8

Reps mul + K}b/vert{Reps{4 0 M 0 YStep - 8 0 +}repeat 0 -8 Reps mul + K}b/biag

{Reps{0 0 M MaxXYStep @ - 0 YStep neg M MaxXYStep @ - 0 8 +}repeat 0 -8 Reps

mul + 0 YStep M 8 8 - K}b/fdiag{Reps{0 0 M MaxXYStep @ neg - 0 YStep M

MaxXYStep @ neg - 0 8 +}repeat 0 -8 Reps mul + MaxXYStep @ M 8 -8 - K}b E

/makehatch{GDIHPatternDict/PaintData 3 -1 $ put CTMsave GDIHMatrix setmatrix

GDIHPatternDict matrix mp CTMrestore ~ U ~ 2 ^ put}b/h0{/h0/HS_Horizontal

makehatch}b/h1{/h1/HS_Vertical makehatch}b/h2{/h2/HS_FDiagonal makehatch}b/h3{

/h3/HS_BDiagonal makehatch}b/h4{/h4/HS_Cross makehatch}b/h5{/h5/HS_DiagCross

makehatch}b/GDIBWPatternDict 17 dict @ `/PatternType 1 |/PaintType L2?{1}{2}?

|/RepsV L2?{1}{6}? |/RepsH L2?{1}{5}? |/BBox[0 0 RepsH 1]|/TilingType 1 |

/XStep 1 |/YStep 1 |/Height 8 RepsV mul |/Width 8 |/mx[Width 0 0 Height neg 0

Height]|/FGnd null |/BGnd null |/SetBGndFGnd L2?{{BGnd null ne{BGnd aload !

sgco BBox aload ! 2 ^ sub ~ 3 ^ sub ~ rf}if FGnd null ne{FGnd aload ! sgco}if}

}{{}}? b/PaintProc{` SetBGndFGnd RepsH{Width Height F mx PaintData imagemask

Width 0 +}repeat E}b E |/GDIBWPatternMx null |/pfprep{save 4 1 $

/PatternOfTheDay 4 1 $ GDIBWPatternDict `/PaintData ~ |/BGnd ~ |/FGnd ~ | E

CTMsave GDIBWPatternMx setmatrix GDIBWPatternDict matrix mp CTMrestore ~ !}b

/hrf null |/prf{pfprep ~ 6 1 $ 5 hrf restore}b/GraphInit{GDIHMatrix null eq{

/SavedCTM matrix | : ADO_mxRot concat 0 0 snap + : 0.48 @ GDIHPatternDict `

YStep mul ~ XStep mul ~ dsnap YStep V ~ XStep V ~ E +S/GDIHMatrix matrix

currentmatrix readonly | ; : 0.24 -0.24 +S GDIBWPatternDict ` Width Height E

dsnap +S/GDIBWPatternMx matrix currentmatrix readonly | ; ;}if}b/cirp{360 0 An

C}b/ellp{CTMsave + +S 0.5 0 M 0 0 0.5 360 0 An C CTMrestore}b/rrp{/rad ~ |/y2

~ |/x2 ~ |/y1 ~ |/x1 ~ | x2 x1 add 2 V y1 M x1 y1 x1 y2 rad arct x1 y2 x2 y2

rad arct x2 y2 x2 y1 rad arct x2 y1 x1 y1 rad arct C}b/RRp{CTMsave + +S/dyS ~

|/dxS ~ | dxS 2 V 0 M 0 0 0 dyS 0.5 arct 0 dyS dxS dyS 0.5 arct dxS dyS dxS 0

0.5 arct dxS 0 0 0 0.5 arct C CTMrestore}b



L2? not g{/arct{arcto ! ! ! !}b/GDIpattfill{@ ` BGnd null ne PaintType 2 eq

and{: BGnd aload ! sgco fEOFill{O}{L}? ; FGnd aload ! U/fGray 2 ^ put{2}{4}?

-1 $}if E @ patterncalc : 4 ^/PaintType get 2 eq{fGray{6 -1 $ sg}{8 -3 $ sco}?

}if fEOFill{eoclip}{clip}? N patternfill ; N}b/hrf{/fGray 1 ^ 6 eq | -4 $ N rp

C/fEOFill F | GDIpattfill}b/hfMain{/fEOFill ~ |/fGray ~ | GDIpattfill}b/hf{T

hfMain}b/hfW{F hfMain}b/hs{currentpoint strokepath M hfW}b/pfMain{/fEOFill ~ |

pfprep GDIpattfill restore N}b/pf{T pfMain}b/pfW{F pfMain}b/ps{currentpoint

strokepath M pfW}b/mpstr 1 string |/mp{~ @ length 12 add dict copy `

/PatternCTM matrix currentmatrix |/PatternMatrix ~ |/PatWidth XStep mpstr

length mul |/PatHeight YStep |/FontType 3 |/Encoding 256 array | 3 string 0 1

255{Encoding ~ @ 3 ^ cvs cvn put}for !/FontMatrix matrix |/FontBBox BBox |

/BuildChar{! @ ` XStep 0 FontBBox aload ! setcachedevice/PaintProc , E : exec

;}b & E ~ @ 3 -1 $ definefont}b/patterncalc{` : PatternCTM setmatrix

PatternMatrix concat BBox aload ! ! ! + pathbbox ; PatHeight V ceiling 4 1 $

PatWidth V ceiling 4 1 $ PatHeight V floor 4 1 $ PatWidth V floor 4 1 $ 2 ^

sub cvi abs ~ 3 ^ sub cvi abs ~ 4 2 $ PatHeight mul ~ PatWidth mul ~ E}b

/patternfill{5 -1 $ @ ` Ji PatternCTM setmatrix PatternMatrix concat 0 2 ^ 2 ^

M 0 1 mpstr length 1 sub{1 ^ mpstr 3 1 $ put}for ! 2 ^{currentpoint 5 ^{mpstr

S}repeat YStep add M}repeat ! ! ! ! E}b}e



L2? g{/mp/makepattern , |/hrf{6 eq setAorABC setpattern rectfill}b/hf{

setAorABC setpattern O}b/hfW{setAorABC setpattern L}b/hs{setAorABC setpattern

K}b/pf{pfprep setpattern O restore N}b/pfW{pfprep setpattern L restore N}b/ps{

pfprep setpattern K restore N}b}e



/iw 0 |/ih 0 |/im_save 0 |/s 0 |/polarity 0 |/smoothflag 0 |/mystring 0 |/bpc

0 |/setup1asciiproc{[currentfile mystring/readhexstring cvx/! cvx]cvx bind}b

/setup1binaryproc{[currentfile mystring/readstring cvx/! cvx]cvx bind}b

/setup2asciiproc{currentfile/ASCII85Decode filter/RunLengthDecode filter}b

/setup2binaryproc{currentfile/RunLengthDecode filter}b/mycolorspace{colspABC}|

/myimagedict{/myimagedict 10 dict | myimagedict @ `/ImageType 1 |

/MultipleDataSource F | E}b/imageprocarray[/setup1binaryproc/setup1asciiproc

/setup2binaryproc/setup2asciiproc/setup1binarydecodeproc/setup1asciidecodeproc

]|/L2Polarity{{[1 0]}{[0 1]}?}b/Q{/im_save save | imageprocarray ~ get/s ~ , |

L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring ~

string |/bpc ~ |/ih ~ |/iw ~ |}b/X{/im_save save | imageprocarray ~ get/s ~ ,

| L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring

~ string |/bpc ~ |/ih ~ |/iw ~ |}b/Z{im_save restore}b/Y{sgco myimagedict @ `

/Width iw |/Height ih |/Decode polarity |/ImageMatrix[iw 0 0 ih 0 0]|

/DataSource s |/BitsPerComponent 1 |/Interpolate smoothflag | E imagemask}b



L2? not g{/setup2asciiproc{[/Level2ImagesError , aload ! T FatalErrorIf}b

/setup2binaryproc/setup2asciiproc , |/L2Polarity{}|/Y{sgco iw ih polarity[iw 0

0 ih 0 0]s imagemask}b}e



L2? not g{/testsystemdict{where{systemdict eq{T}{F}?}{F}?}b/c 1 |/colorimage

where{! T}{F}?{/c 0 statusdict `/processcolors where{! ! processcolors}{

/deviceinfo where{! deviceinfo/Colors known{!{deviceinfo/Colors get}}if}if}? E

| c 0 ne{/colorimage testsystemdict/setcolortransfer testsystemdict

/currentcolortransfer testsystemdict/currentcmykcolor testsystemdict and and

and not{/c 0 |}if}if}if c @ 1 ne ~ @ 3 ne ~ 4 ne and and{/c 0 |}if c 1 eq g{

/expandbw{expandfactor mul round cvi bwclut ~ get 255 V}b/doclutimage{!/bwclut

~ | bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/expandfactor ~ |[/expandbw ,/exec , @

currenttransfer ~]cvx bind settransfer iw ih bpc[iw 0 0 ih 0 0]s image}b}e c @

3 eq ~ 4 eq or g{/nullproc{{}}|/concatutil{/exec , 7 -1 $/exec ,}b/defsubclut{

1 add getinterval |}b/spconcattransfer{/Dclut ~ |/Cclut ~ |/Bclut ~ |/Aclut ~

|/ncompute ~ , | currentcolortransfer[{Aclut ncompute}concatutil]cvx[{Bclut

ncompute}concatutil]cvx[{Cclut ncompute}concatutil]cvx[{Dclut ncompute}

concatutil]cvx setcolortransfer}b/setuprgbcluts{/bit3x rgbclut length 3 sub |

/bit1x bit3x 3 idiv |/rclut rgbclut |/gclut rclut 1 bit3x defsubclut/bclut

rclut 2 bit3x defsubclut}b}e c 3 eq g{/3compute{~ bit3x mul round cvi get 255

V}b/doclutimage{/rgbclut ~ | ! setuprgbcluts/3compute rclut gclut bclut @

spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @]cvx nullproc nullproc

T 3 colorimage}b}e c 4 eq g{/ftoint{1 ~ sub 255 mul round cvi}b/stuffclut{

cmykindex 3 -1 $ put}b/4compute{~ bit4x mul round cvi get 255 V}b

/invalidcolortable? T |/computecmykclut{setuprgbcluts/bit4x rgbclut length 3

idiv 4 mul 4 sub |/cmykclut bit4x 4 add string |/cclut cmykclut |/mclut cclut

1 bit4x defsubclut/yclut cclut 2 bit4x defsubclut/kclut cclut 3 bit4x

defsubclut/cmykindex 0 | 0 1 bit1x{@/cmykindex ~ bit1x ~ sub 4 mul | 3 mul @

rclut ~ get 255 V ~ @ gclut ~ get 255 V ~ bclut ~ get 255 V setrgbcolor

currentcmykcolor ftoint kclut stuffclut ftoint yclut stuffclut ftoint mclut

stuffclut ftoint cclut stuffclut}for}b/doclutimage{/rgbclut ~ | !

invalidcolortable?{computecmykclut}if/4compute cclut mclut yclut kclut

spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @ @]cvx nullproc

nullproc nullproc T 4 colorimage}b}e c 0 eq g{/a{3 mul 3 getinterval

putinterval ~ 3 add ~ 3 copy}b/8lookup/a , |/4lookup{/byte 1 ^ | -4 bitshift a

byte 15 and a}b/2lookup{/byte 1 ^ | -6 bitshift a byte -4 bitshift 3 and a

byte -2 bitshift 3 and a byte 3 and a}b/colorexpand{mystringexp 0 rgbclut 3

copy 7 -1 $/mylookup , forall ! ! ! ! !}b/createexpandstr{/mystringexp ~

mystring length mul string |}b/doclutimage{/rgbclut ~ | !/mylookup bpc 8 eq{3

createexpandstr/8lookup}{bpc 4 eq{6 createexpandstr/4lookup}{12

createexpandstr/2lookup}?}? , | iw ih bpc[iw 0 0 ih 0 0][s/exec ,/colorexpand

,/exec ,]cvx F 3 colorimage}b}e/colorimage where{! T}{F}? g{/do24image{iw ih 8

[iw 0 0 ih 0 0]s F 3 colorimage}b}DefIf_El{/rgbtogray{/str ~ |/len str length

|/smlen len 3 idiv |/rstr str |/gstr str 1 len 1 sub getinterval |/bstr str 2

len 2 sub getinterval | str @ 0 1 smlen 1 sub{@ 3 mul rstr 1 ^ get 0.3 mul

gstr 2 ^ get 0.59 mul add bstr 3 -1 $ get 0.11 mul add round cvi put @}for ! 0

smlen getinterval}b/do24image{iw ih 8[iw 0 0 ih 0 0][s/exec ,/rgbtogray ,/exec

,]cvx bind image}b}e/doNimage{bpc 24 eq{do24image}{iw ih bpc[iw 0 0 ih 0 0]s

image}?}b}e



L2? g{/doclutimage{/rgbclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[

/Indexed colspABC hival rgbclut]setcolorspace myimagedict @ `/Width iw |

/Height ih |/Decode[0 hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |

/BitsPerComponent bpc |/Interpolate smoothflag | E image}b/doCMYKclutimage{

/CMYKclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[/Indexed/DeviceCMYK

hival CMYKclut]setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0

hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent bpc |

/Interpolate smoothflag | E image}b/doNimage{bpc 24 eq{colspABC}{colspA}?

setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode bpc 24 eq{[0 1 0 1

0 1]}{[0 1]}? |/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent

bpc 24 eq{8}{bpc}? |/Interpolate smoothflag | E image}b/doCMYKimage{

/DeviceCMYK setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0 1 0

1 0 1 0 1]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent 8 |

/Interpolate smoothflag | E image}b}e



/GreNewFont{10 dict @ 3 1 $ | @ ` 4 1 $/FontType 3 |/FontMatrix ~ |/FontBBox ~

|/Encoding 256 array | 0 1 255{Encoding ~/.notdef put}for/CharProcs 257 dict |

CharProcs/.notdef{}put/Metrics 257 dict | Metrics/.notdef 3 -1 $ put/BuildChar

{/char ~ |/fontdict ~ |/charname fontdict/Encoding get char get | fontdict

/Metrics get charname get aload ! setcachedevice fontdict ` Encoding char get

CharProcs ~ get E exec}| E definefont !}|/AddChar{` Encoding 3 1 $ put

CharProcs 3 1 $ put Metrics 3 1 $ put E}|



/FEbuf 2 string |/FEglyph 3 string |/FE{(G00)FEglyph copy ! 1 ~{@ 16 lt{

/offset 2 store}{/offset 1 store}? @ 16 FEbuf cvrs FEglyph ~ offset ~

putinterval 1 ^ ~ FEglyph cvn put}for}bind |/Type1Hdr{11 dict `/FontName ~ |

/PaintType ~ |/FontType 1 |/FontMatrix[1 3 ^ V 0 0 1 6 ^ V 0 0]| !/Encoding

256 array 0 1 255{1 ^ ~/.notdef put}for 3 ^ 3 ^ FE | ! !/FontBBox{0 0 0 0}| &

E currentfile eexec}bind |


/pp 1 string |/ss 1 string |/rledecodebinary{/DC 0 |/BC 0 |{DC mystring length

ge{exit}if currentfile ss readstring ! 0 get/BC ~ | BC 127 le{/BC BC 1 add |

DC 1 DC BC add 1 sub{mystring ~ currentfile ss readstring ! 0 get put}for}{/BC

257 BC sub | currentfile ss readstring ! 0 get/pp ~ | DC 1 DC BC add 1 sub{

mystring ~ pp put}for}?/DC DC BC add |}loop mystring}b/rledecodeascii{/DC 0 |

/BC 0 |{DC mystring length ge{exit}if currentfile ss readhexstring ! 0 get/BC

~ | BC 127 le{/BC BC 1 add | DC 1 DC BC add 1 sub{mystring ~ currentfile ss

readhexstring ! 0 get put}for}{/BC 257 BC sub | currentfile ss readhexstring !

0 get/pp ~ | DC 1 DC BC add 1 sub{mystring ~ pp put}for}?/DC DC BC add |}loop

mystring}b/setup1asciidecodeproc{[/rledecodeascii cvx]cvx bind}b

/setup1binarydecodeproc{[/rledecodebinary cvx]cvx bind}b


userdict/Pscript_Win_Compat 13 dict dup begin/bd{bind def}bind def/ld{load def

}bd/CB{pop pop pop pop}bind def/B{pop pop pop pop}bind def/$x matrix def/SS{

/pagesave save def}bind def/RS{/pagesave where{pop pagesave restore}{$x matrix

invertmatrix concat}ifelse}bind def/ANSIVec[0/grave 1/acute 2/circumflex 3

/tilde 4/macron 5/breve 6/dotaccent 7/dieresis 8/ring 9/cedilla 10

/hungarumlaut 11/ogonek 12/caron 13/dotlessi 39/quotesingle 96/grave 124/bar

130/quotesinglbase 131/florin 132/quotedblbase 133/ellipsis 134/dagger 135

/daggerdbl 136/circumflex 137/perthousand 138/Scaron 139/guilsinglleft 140/OE

145/quoteleft 146/quoteright 147/quotedblleft 148/quotedblright 149/bullet 150

/endash 151/emdash 152/tilde 153/trademark 154/scaron 155/guilsinglright 156

/oe 159/Ydieresis 160/space 161/exclamdown 164/currency 165/yen 166/brokenbar

167/section 168/dieresis 169/copyright 170/ordfeminine 171/guillemotleft 172

/logicalnot 173/hyphen 174/registered 175/macron 176/degree 177/plusminus 178

/twosuperior 179/threesuperior 180/acute 181/mu 182/paragraph 183

/periodcentered 184/cedilla 185/onesuperior 186/ordmasculine 187

/guillemotright 188/onequarter 189/onehalf 190/threequarters 191/questiondown

192/Agrave 193/Aacute 194/Acircumflex 195/Atilde 196/Adieresis 197/Aring 198

/AE 199/Ccedilla 200/Egrave 201/Eacute 202/Ecircumflex 203/Edieresis 204

/Igrave 205/Iacute 206/Icircumflex 207/Idieresis 208/Eth 209/Ntilde 210/Ograve

211/Oacute 212/Ocircumflex 213/Otilde 214/Odieresis 215/multiply 216/Oslash

217/Ugrave 218/Uacute 219/Ucircumflex 220/Udieresis 221/Yacute 222/Thorn 223

/germandbls 224/agrave 225/aacute 226/acircumflex 227/atilde 228/adieresis 229

/aring 230/ae 231/ccedilla 232/egrave 233/eacute 234/ecircumflex 235/edieresis

236/igrave 237/iacute 238/icircumflex 239/idieresis 240/eth 241/ntilde 242

/ograve 243/oacute 244/ocircumflex 245/otilde 246/odieresis 247/divide 248

/oslash 249/ugrave 250/uacute 251/ucircumflex 252/udieresis 253/yacute 254

/thorn 255/ydieresis]def currentdict{dup type/operatortype eq{[exch]cvx def}{

pop pop}ifelse}forall/initialize{currentdict exch begin begin}bind def

/terminate{/@FL where not{pop end end}{pop}ifelse}bind def/suspend/terminate

load def/resume/initialize load def/M/moveto load def end put/Courier findfont

10 scalefont setfont


end /ProcSet defineresource pop






Pscript_Win_Compat dup /initialize get exec

[ 0 1.000 -1.000 0 0 0 ] false /Pscript_Win_Driver /ProcSet findresource dup /initialize get exec





/mysetup [ 0.240 0 0 -0.240 8.880 592.800 ] | 






userdict begin /pagesave save def end mysetup concat colspRefresh : 1.000 1.000 1.000 sco 0 0 2550 3300 rf ; 






114 70 N M 1 1 rr 

114 70 N M 3000 2250 rr : 1.000 1.000 1.000 sco O ; 

114 70 N M 1 1 rr 

114 70 N M 1 1 rr : 114 70 3000 2250 rc 

114 70 N M 2726 1801 rr : 0.800 1.000 0.800 sco O ; 3 Lw 0 Lc 0 Lj solid 0.800 1.000 0.800 sco K ; 

1901 491 N M -7 1 - -7 0 - -18 0 - -19 1 - -21 1 - -20 2 - -18 4 - -9 3 - -7 4 - -6 5 - -5 5 - -4 6 - -3 8 - -2 9 - -2 9 - -2 22 - 0 23 - 2 23 - 2 23 - 4 20 - 3 9 - 2 8 - 6 14 - 8 14 - 10 11 - 10 11 - 12 10 - 12 8 - 12 7 - 12 5 - 13 5 - 14 3 - 15 2 - 15 1 - 14 -1 - 15 -2 - 13 -3 - 11 -5 - 9 -7 - 8 -9 - 7 -11 - 6 -13 - 6 -12 - 6 -11 - 6 -10 - 6 -7 - 7 -4 - 5 -1 - 5 -1 - 6 1 - 6 2 - 7 1 - 8 1 - 11 1 - 13 0 - 16 -1 - 18 -1 - 18 -1 - 19 -1 - 19 0 - 18 1 - 16 3 - 8 2 - 7 3 - 16 9 - 14 11 - 15 10 - 13 10 - 13 7 - 6 3 - 6 1 - 6 0 - 5 -2 - 5 -3 - 5 -5 - 5 -6 - 5 -8 - 9 -17 - 9 -20 - 7 -20 - 5 -21 - 4 -18 - 1 -9 - 0 -7 - -1 -12 - -3 -11 - -5 -11 - -6 -9 - -9 -9 - -9 -9 - -10 -9 - -12 -10 - -13 -11 - -14 -11 - -16 -12 - -17 -12 - -18 -12 - -19 -9 - -20 -8 - -20 -5 - -11 -1 - -11 -1 - -26 1 - -27 3 - -27 5 - -27 5 - -25 6 - -11 2 - -10 3 - -8 2 - -8 2 - -6 2 - -5 2 - -4 1 - -3 2 - -3 4 - -1 4 - 0 4 - 0 3 - -2 3 - -3 2 - -5 1 - -5 0 - -11 -1 - -6 -1 - -8 -1 - -9 1 - -11 1 - C : 0.502 0.502 0.502 sco O ; 

1893 482 N M -7 1 - -7 0 - -18 1 - -19 1 - -21 1 - -20 2 - -18 4 - -9 3 - -7 4 - -6 5 - -5 5 - -4 6 - -3 8 - -3 9 - -2 9 - -2 22 - 0 23 - 2 23 - 3 23 - 4 20 - 2 9 - 3 8 - 6 14 - 8 14 - 10 11 - 10 11 - 12 10 - 12 8 - 12 7 - 12 5 - 13 4 - 14 3 - 14 2 - 15 1 - 15 -1 - 14 -2 - 13 -3 - 11 -4 - 10 -7 - 8 -9 - 7 -12 - 6 -12 - 6 -12 - 6 -12 - 6 -9 - 6 -7 - 6 -4 - 6 -1 - 5 -1 - 5 1 - 6 2 - 7 1 - 9 1 - 11 1 - 13 0 - 16 -1 - 17 -1 - 19 -1 - 18 -1 - 19 0 - 18 1 - 16 3 - 8 2 - 7 3 - 16 9 - 14 10 - 15 11 - 14 10 - 13 7 - 6 2 - 6 1 - 6 0 - 5 -2 - 5 -3 - 5 -5 - 5 -6 - 5 -7 - 9 -18 - 8 -19 - 7 -21 - 5 -20 - 4 -19 - 1 -8 - 0 -7 - -1 -13 - -3 -11 - -5 -10 - -6 -9 - -8 -9 - -9 -9 - -11 -9 - -11 -10 - -13 -11 - -14 -12 - -16 -12 - -17 -12 - -18 -11 - -19 -9 - -20 -8 - -20 -5 - -11 -1 - -11 -1 - -26 1 - -27 3 - -28 5 - -26 5 - -25 6 - -11 2 - -10 3 - -8 2 - -8 2 - -6 2 - -5 1 - -4 2 - -3 2 - -3 4 - -2 4 - 0 3 - 0 3 - -1 3 - -4 2 - -5 1 - -4 1 - -11 -2 - -6 0 - -8 -1 - -9 0 - -11 1 - C : 0.200 0.200 0.800 sco O ; 

2010 855 N M 62 -99 - 12 Lw 0 Lc 1 Lj solid 0 0.800 0.600 sco K 

2095 773 N M 5 -63 - -53 33 - 48 30 - C : 0 0.800 0.600 sco O ; 

1805 921 N M -11 1 - -14 1 - -15 0 - -16 1 - -16 2 - -14 4 - -12 5 - -4 4 - -4 4 - -3 5 - -3 6 - -3 15 - -2 17 - 0 18 - 1 19 - 3 18 - 3 16 - 4 14 - 5 12 - 6 10 - 7 9 - 8 9 - 18 14 - 19 10 - 10 4 - 11 2 - 11 2 - 12 0 - 12 0 - 10 -2 - 10 -2 - 9 -4 - 7 -5 - 6 -8 - 6 -9 - 5 -10 - 4 -10 - 5 -9 - 4 -8 - 5 -5 - 5 -3 - 4 -2 - 4 0 - 4 1 - 5 1 - 6 1 - 7 2 - 8 0 - 10 0 - 12 -1 - 14 -1 - 14 -1 - 29 0 - 14 1 - 13 2 - 12 4 - 11 7 - 12 8 - 11 9 - 10 7 - 10 6 - 5 2 - 5 1 - 4 -1 - 4 -1 - 4 -2 - 4 -4 - 4 -5 - 4 -6 - 7 -14 - 6 -15 - 6 -17 - 4 -16 - 3 -15 - 1 -12 - -1 -10 - -2 -9 - -4 -8 - -5 -8 - -6 -7 - -8 -7 - -17 -15 - -10 -9 - -11 -9 - -12 -10 - -13 -10 - -14 -8 - -15 -8 - -15 -6 - -16 -4 - -17 -1 - -20 0 - -21 3 - -21 3 - -21 4 - -19 5 - -16 4 - -7 2 - -6 1 - -5 1 - -3 2 - -6 3 - -2 3 - -1 3 - 0 5 - -1 3 - -3 1 - -4 1 - -4 0 - -8 -1 - -5 0 - -6 -1 - -7 0 - -8 1 - C : 0.502 0.502 0.502 sco O ; 

1796 913 N M -11 1 - -13 0 - -15 1 - -16 1 - -16 1 - -14 4 - -12 5 - -5 4 - -4 4 - -3 5 - -2 6 - -4 15 - -1 17 - 0 18 - 1 19 - 2 18 - 3 16 - 4 14 - 5 12 - 6 10 - 8 10 - 8 8 - 9 8 - 9 7 - 10 5 - 9 5 - 10 3 - 11 3 - 23 2 - 22 -2 - 10 -3 - 9 -3 - 7 -5 - 6 -8 - 6 -9 - 5 -10 - 4 -10 - 5 -10 - 4 -7 - 5 -6 - 5 -3 - 4 -1 - 4 0 - 4 0 - 5 1 - 5 2 - 7 1 - 8 0 - 10 0 - 13 -1 - 13 -1 - 14 -1 - 29 0 - 14 1 - 13 2 - 12 5 - 12 7 - 11 8 - 12 9 - 10 7 - 10 6 - 5 2 - 5 1 - 4 -1 - 4 -1 - 4 -3 - 4 -4 - 4 -4 - 3 -6 - 8 -14 - 6 -16 - 5 -16 - 4 -17 - 3 -14 - 1 -13 - -1 -10 - -2 -9 - -4 -8 - -5 -7 - -6 -7 - -7 -8 - -17 -15 - -10 -8 - -11 -10 - -12 -10 - -14 -9 - -14 -9 - -14 -8 - -15 -6 - -16 -4 - -17 -1 - -20 1 - -21 2 - -21 4 - -21 4 - -19 5 - -16 4 - -7 2 - -6 1 - -5 1 - -3 2 - -6 3 - -2 3 - -1 3 - 0 5 - -1 2 - -3 2 - -4 1 - -4 0 - -8 -1 - -5 -1 - -6 0 - -7 0 - -9 1 - C : 0.200 0.200 0.800 sco O ; 

1826 1255 N M 67 -96 - 0 0.800 0.600 sco K 

1915 1178 N M 8 -63 - -55 30 - 47 33 - C : 0 0.800 0.600 sco O ; 

1663 1307 N M -7 1 - -10 0 - -10 1 - -10 0 - -11 2 - -9 2 - -8 4 - -6 5 - -3 7 - -3 10 - -1 11 - 0 13 - 1 12 - 2 12 - 2 11 - 2 9 - 3 8 - 4 7 - 11 12 - 12 9 - 13 7 - 14 4 - 15 1 - 15 -1 - 6 -2 - 6 -2 - 5 -4 - 4 -5 - 4 -6 - 3 -6 - 3 -7 - 3 -6 - 3 -5 - 3 -4 - 3 -2 - 3 -1 - 6 0 - 6 2 - 5 1 - 5 0 - 7 0 - 8 -1 - 19 -1 - 19 0 - 10 1 - 8 1 - 8 3 - 8 5 - 15 11 - 7 5 - 6 4 - 6 2 - 6 -1 - 5 -5 - 5 -7 - 5 -9 - 5 -11 - 4 -11 - 2 -11 - 2 -10 - 1 -8 - -1 -7 - -1 -6 - -6 -10 - -9 -9 - -12 -10 - -14 -12 - -16 -13 - -10 -6 - -9 -5 - -11 -4 - -10 -3 - -11 -1 - -14 0 - -14 2 - -14 2 - -14 3 - -12 3 - -11 3 - -9 2 - -6 2 - -3 2 - -2 2 - 0 2 - 0 4 - -1 1 - -2 1 - -5 1 - -6 -1 - -7 0 - -4 0 - -6 0 - C : 0.502 0.502 0.502 sco O ; 

1655 1299 N M -7 1 - -10 0 - -10 0 - -10 1 - -11 1 - -9 2 - -8 4 - -6 5 - -4 8 - -2 10 - -1 11 - 0 12 - 1 13 - 1 12 - 3 11 - 2 9 - 3 8 - 4 6 - 11 12 - 12 10 - 12 7 - 14 4 - 16 1 - 15 -1 - 6 -2 - 6 -2 - 5 -4 - 4 -5 - 7 -13 - 3 -6 - 3 -6 - 3 -5 - 3 -4 - 3 -2 - 3 -1 - 5 0 - 7 2 - 5 1 - 5 0 - 7 0 - 8 -1 - 19 -1 - 19 0 - 18 2 - 8 3 - 8 5 - 15 11 - 7 5 - 6 3 - 6 2 - 6 -1 - 5 -4 - 5 -7 - 5 -9 - 4 -11 - 7 -22 - 1 -10 - 1 -8 - -1 -7 - -1 -6 - -6 -10 - -9 -10 - -11 -10 - -14 -12 - -16 -13 - -10 -6 - -9 -5 - -11 -4 - -10 -2 - -12 -1 - -13 0 - -14 2 - -14 2 - -14 3 - -13 3 - -10 3 - -9 2 - -6 2 - -3 2 - -2 2 - 0 2 - 0 4 - -1 1 - -2 1 - -5 1 - -6 -1 - -7 -1 - -4 1 - -6 0 - C : 0.200 0.200 0.800 sco O ; 

1611 1566 N M 85 -81 - 0 0.800 0.600 sco K 

1714 1508 N M 21 -59 - -60 18 - 39 41 - C : 0 0.800 0.600 sco O ; 

1410 1556 N M -4 1 - -6 0 - -13 1 - -12 2 - -5 2 - -4 3 - -2 5 - -1 6 - -1 15 - 1 15 - 2 7 - 1 6 - 5 9 - 6 7 - 8 6 - 8 4 - 8 3 - 10 1 - 9 -1 - 8 -3 - 3 -2 - 3 -3 - 4 -8 - 4 -8 - 2 -3 - 2 -2 - 3 -2 - 4 0 - 4 1 - 6 1 - 10 0 - 11 -1 - 12 0 - 11 1 - 5 2 - 5 3 - 10 7 - 4 3 - 5 2 - 3 1 - 4 -1 - 3 -3 - 3 -4 - 3 -5 - 3 -7 - 4 -14 - 1 -6 - 0 -5 - -1 -8 - -4 -7 - -5 -6 - -7 -6 - -9 -7 - -11 -8 - -11 -7 - -7 -2 - -6 -2 - -7 -1 - -9 1 - -17 2 - -9 2 - -8 2 - -7 1 - -5 1 - -4 1 - -2 2 - -1 1 - 0 1 - -1 3 - -1 1 - -3 1 - -3 -1 - -5 0 - -7 0 - C : 0.502 0.502 0.502 sco O ; 

1402 1548 N M -4 1 - -6 0 - -13 1 - -7 0 - -6 2 - -4 2 - -4 3 - -2 5 - -2 6 - -1 7 - 0 7 - 2 16 - 1 6 - 2 6 - 4 9 - 7 8 - 7 6 - 8 4 - 9 2 - 10 1 - 9 -1 - 8 -2 - 3 -2 - 2 -4 - 4 -7 - 4 -8 - 2 -4 - 2 -2 - 4 -2 - 4 1 - 4 0 - 6 1 - 4 0 - 5 0 - 12 -1 - 12 0 - 11 1 - 5 2 - 5 3 - 9 7 - 5 3 - 4 2 - 4 2 - 3 -1 - 3 -3 - 4 -4 - 3 -6 - 2 -6 - 4 -14 - 2 -6 - 0 -5 - -1 -8 - -4 -7 - -6 -6 - -7 -6 - -9 -8 - -10 -8 - -12 -7 - -6 -2 - -7 -2 - -7 -1 - -8 1 - -18 2 - -9 2 - -8 2 - -7 2 - -5 1 - -3 1 - -2 2 - -1 1 - -1 1 - 0 3 - -1 1 - -3 1 - -4 -1 - -5 0 - -6 0 - C : 0.200 0.200 0.800 sco O ; 

1190 1427 N M 83 83 - 0 0.800 0.600 sco K 

1250 1528 N M 60 20 - -19 -60 - -41 40 - C : 0 0.800 0.600 sco O ; 

693 492 N M -7 1 - -7 0 - -18 1 - -19 1 - -21 1 - -20 2 - -18 4 - -8 3 - -7 4 - -6 5 - -5 5 - -4 7 - -3 8 - -3 9 - -2 9 - -2 22 - 0 24 - 2 24 - 3 23 - 4 21 - 2 9 - 3 8 - 6 15 - 8 13 - 9 13 - 11 11 - 11 9 - 13 9 - 12 6 - 12 6 - 13 5 - 13 3 - 15 2 - 15 1 - 15 -1 - 14 -2 - 13 -3 - 11 -5 - 9 -7 - 8 -9 - 7 -12 - 7 -13 - 5 -12 - 6 -12 - 6 -10 - 7 -7 - 6 -4 - 6 -1 - 5 -1 - 5 1 - 6 2 - 7 1 - 8 1 - 11 1 - 13 0 - 16 -1 - 18 -1 - 18 -1 - 19 -1 - 19 0 - 18 1 - 16 3 - 8 2 - 7 4 - 16 8 - 14 11 - 15 11 - 13 10 - 7 4 - 6 4 - 6 2 - 6 1 - 6 0 - 5 -2 - 5 -3 - 5 -5 - 5 -7 - 5 -7 - 9 -18 - 9 -20 - 7 -21 - 5 -21 - 4 -19 - 1 -8 - 0 -8 - -1 -13 - -3 -11 - -5 -10 - -6 -10 - -9 -9 - -9 -9 - -10 -10 - -12 -10 - -13 -11 - -14 -12 - -16 -12 - -17 -12 - -18 -12 - -19 -10 - -20 -8 - -20 -5 - -11 -1 - -11 -1 - -25 1 - -27 4 - -28 4 - -27 6 - -24 6 - -11 2 - -10 3 - -9 2 - -8 2 - -6 2 - -5 2 - -4 2 - -2 1 - -4 4 - -1 4 - 0 4 - 0 3 - -1 3 - -4 2 - -5 1 - -5 1 - -11 -2 - -6 0 - -8 -1 - -9 0 - -11 1 - C : 0.502 0.502 0.502 sco O ; 

685 484 N M -7 1 - -7 0 - -18 0 - -19 1 - -21 1 - -20 2 - -18 5 - -9 3 - -7 4 - -6 4 - -5 6 - -4 7 - -3 8 - -3 9 - -1 9 - -3 22 - 1 24 - 1 24 - 3 23 - 4 21 - 3 9 - 2 8 - 6 15 - 8 13 - 10 12 - 10 11 - 12 10 - 12 8 - 12 7 - 12 6 - 13 5 - 14 3 - 15 2 - 15 1 - 14 -1 - 15 -2 - 13 -3 - 11 -5 - 9 -7 - 8 -10 - 7 -11 - 6 -13 - 6 -13 - 6 -11 - 6 -10 - 6 -7 - 6 -4 - 6 -2 - 5 0 - 5 1 - 6 1 - 7 2 - 9 1 - 11 1 - 13 0 - 16 -1 - 17 -1 - 19 -1 - 18 -1 - 19 0 - 18 1 - 16 3 - 8 2 - 7 4 - 16 8 - 14 11 - 15 11 - 14 10 - 13 7 - 6 3 - 6 1 - 6 0 - 5 -2 - 5 -3 - 5 -5 - 5 -7 - 5 -7 - 9 -18 - 8 -20 - 7 -21 - 5 -21 - 4 -19 - 1 -9 - 0 -7 - -1 -13 - -3 -11 - -5 -11 - -6 -9 - -8 -10 - -9 -9 - -10 -9 - -12 -10 - -13 -11 - -14 -12 - -16 -12 - -17 -13 - -18 -11 - -19 -10 - -20 -8 - -20 -5 - -11 -1 - -11 -1 - -26 1 - -27 3 - -28 5 - -26 5 - -25 6 - -11 2 - -10 3 - -8 2 - -8 2 - -6 2 - -5 2 - -4 2 - -3 2 - -3 4 - -1 4 - 0 4 - 0 3 - -2 3 - -3 2 - -5 1 - -5 0 - -11 -1 - -6 -1 - -8 -1 - -9 1 - -11 1 - C : 0.200 0.200 0.800 sco O ; 

873 919 N M -10 1 - -13 0 - -15 0 - -15 1 - -15 2 - -13 3 - -12 5 - -4 4 - -4 4 - -3 5 - -2 6 - -4 14 - -1 16 - 0 17 - 1 18 - 2 17 - 3 16 - 4 13 - 5 11 - 5 10 - 7 9 - 8 8 - 18 13 - 18 9 - 10 3 - 10 3 - 22 2 - 21 -2 - 10 -3 - 8 -3 - 7 -5 - 6 -7 - 5 -9 - 5 -9 - 4 -9 - 5 -9 - 4 -7 - 5 -5 - 4 -3 - 4 -2 - 4 0 - 4 1 - 4 1 - 5 1 - 7 2 - 8 0 - 10 0 - 12 -1 - 13 -1 - 13 -1 - 28 0 - 13 1 - 12 2 - 12 4 - 11 6 - 11 8 - 11 8 - 10 7 - 10 6 - 9 2 - 4 0 - 4 -1 - 4 -2 - 3 -4 - 8 -10 - 6 -13 - 7 -15 - 5 -16 - 4 -15 - 2 -14 - 1 -12 - -1 -10 - -2 -8 - -4 -8 - -4 -7 - -6 -7 - -7 -7 - -16 -14 - -10 -8 - -10 -9 - -12 -9 - -13 -9 - -13 -9 - -14 -7 - -15 -6 - -15 -4 - -16 -1 - -19 1 - -20 2 - -21 4 - -20 4 - -18 4 - -16 4 - -6 2 - -6 1 - -5 1 - -3 1 - -5 3 - -3 3 - 0 3 - 0 5 - -1 2 - -3 2 - -7 1 - -8 -1 - -5 -1 - -6 0 - -7 0 - -8 1 - C : 0.502 0.502 0.502 sco O ; 

865 910 N M -11 1 - -12 1 - -15 0 - -15 1 - -15 2 - -13 3 - -12 5 - -4 4 - -4 4 - -3 5 - -2 6 - -4 13 - -1 17 - 0 17 - 1 18 - 2 17 - 3 15 - 4 13 - 5 11 - 5 10 - 7 9 - 8 8 - 18 14 - 18 9 - 9 3 - 10 3 - 22 2 - 22 -2 - 9 -3 - 9 -3 - 7 -5 - 6 -7 - 5 -9 - 5 -9 - 4 -10 - 4 -9 - 4 -7 - 5 -5 - 5 -3 - 4 -1 - 4 0 - 4 0 - 4 1 - 5 2 - 7 1 - 8 0 - 10 0 - 11 -1 - 13 -1 - 14 -1 - 28 0 - 13 1 - 12 2 - 12 4 - 11 7 - 11 8 - 11 8 - 10 7 - 9 6 - 9 2 - 4 0 - 4 -1 - 4 -2 - 4 -4 - 4 -5 - 3 -5 - 7 -14 - 6 -15 - 6 -15 - 4 -16 - 2 -14 - 1 -12 - -1 -9 - -2 -9 - -4 -8 - -4 -7 - -6 -6 - -7 -7 - -17 -14 - -9 -8 - -11 -9 - -11 -10 - -13 -9 - -13 -8 - -15 -7 - -14 -6 - -15 -4 - -17 -1 - -19 0 - -20 2 - -20 4 - -20 4 - -18 4 - -16 4 - -6 2 - -6 1 - -5 1 - -3 2 - -5 3 - -3 3 - 0 3 - 0 5 - -1 2 - -3 1 - -4 1 - -3 0 - -8 -1 - -5 0 - -6 -1 - -7 0 - -8 1 - C : 0.200 0.200 0.800 sco O ; 

828 722 N M 72 115 - 0 0.800 0.600 sco K 

874 851 N M 54 32 - -6 -62 - -48 30 - C : 0 0.800 0.600 sco O ; 

1099 1307 N M -7 1 - -9 0 - -10 0 - -10 1 - -11 1 - -9 2 - -8 4 - -6 5 - -4 8 - -2 9 - -1 12 - 0 12 - 1 12 - 1 12 - 3 11 - 2 9 - 3 8 - 4 6 - 11 12 - 12 9 - 12 7 - 14 4 - 15 1 - 15 -1 - 13 -4 - 5 -3 - 4 -5 - 7 -13 - 5 -12 - 4 -5 - 3 -4 - 3 -2 - 3 -1 - 5 0 - 7 2 - 4 1 - 6 0 - 7 0 - 8 -1 - 18 -1 - 19 0 - 10 1 - 8 1 - 8 3 - 8 4 - 8 5 - 8 6 - 7 5 - 6 4 - 6 2 - 6 -1 - 5 -4 - 5 -7 - 5 -9 - 4 -11 - 7 -22 - 1 -10 - 1 -8 - -1 -6 - -1 -6 - -6 -10 - -9 -10 - -11 -10 - -14 -12 - -17 -12 - -9 -6 - -10 -5 - -10 -4 - -11 -3 - -11 -1 - -14 0 - -14 2 - -14 2 - -13 3 - -13 3 - -11 3 - -8 2 - -6 2 - -3 2 - -2 2 - 0 2 - 0 4 - -1 1 - -2 1 - -5 1 - -6 -1 - -7 -1 - -5 1 - -6 0 - C : 0.502 0.502 0.502 sco O ; 

1091 1299 N M -7 1 - -9 0 - -10 0 - -11 0 - -10 2 - -10 2 - -7 4 - -6 5 - -4 7 - -2 10 - -1 11 - 0 12 - 0 12 - 2 12 - 2 11 - 3 9 - 3 8 - 4 6 - 10 12 - 12 10 - 13 7 - 14 4 - 15 1 - 15 -1 - 6 -2 - 6 -2 - 5 -4 - 4 -5 - 7 -13 - 3 -6 - 3 -6 - 3 -5 - 3 -4 - 3 -2 - 3 -1 - 6 0 - 7 2 - 4 1 - 6 0 - 7 0 - 8 -1 - 18 0 - 19 -1 - 10 1 - 8 1 - 8 3 - 8 5 - 15 11 - 7 5 - 6 3 - 6 2 - 6 -1 - 6 -4 - 5 -7 - 5 -9 - 4 -10 - 4 -11 - 3 -11 - 1 -10 - 1 -8 - -1 -7 - -1 -6 - -6 -10 - -9 -9 - -12 -10 - -14 -12 - -16 -13 - -10 -6 - -9 -5 - -11 -4 - -10 -2 - -11 -1 - -14 0 - -14 2 - -14 2 - -14 3 - -12 3 - -11 3 - -9 2 - -5 2 - -4 1 - -1 2 - -1 2 - 0 4 - -1 2 - -2 1 - -5 0 - -6 0 - -7 -1 - -4 0 - -6 1 - C : 0.200 0.200 0.800 sco O ; 

988 1085 N M 73 116 - 0 0.800 0.600 sco K 

1034 1214 N M 55 32 - -7 -62 - -48 30 - C : 0 0.800 0.600 sco O ; : 114 70 3000 2250 rc 0 0.400 0 sco %%IncludeFont: Helvetica-Bold

(F0) cvn

0.964 

 (Helvetica-Bold) cvn /Type1 

T 

(Helvetica-Bold) cvn

mF 

(F0_83) cvn

F0

83 

xF 

F0_83

Ji 

-302.300 545 825 sR 

0.074 0 (C)A 

0.287 0 (o)A 

0.852 0 (a)A 

-0.287 0 (r)A 

-0.148 0 (s)A 

0.852 0 (e)A 

0.287 0 (n)A 

-0.074 0 (i)A 

-0.361 0 32 0.287 0 (ng )D 

-0.361 0 (P)A 

1.287 0 (h)A 

-0.148 0 (as)A 

0.852 0 (e)A 

eR 

; 

948 1648 N M 1227 151 rr : 114 70 3000 2250 rc 0 0.400 0 sco (F0_100) cvn

F0

100 

xF 

F0_100

Ji 

979 1664 M 

0.200 0 (I)A 

-0.100 0 (n)A 

-0.800 0 (i)A 

-0.300 0 (t)A 

0.200 0 (i)A 

0.400 0 (a)A 

1.000 0 32 -0.800 0 (l )D 

0.300 0 (P)A 

-0.600 0 (a)A 

0.100 0 (r)A 

0.700 0 (t)A 

-0.800 0 (i)A 

0.700 0 (t)A 

-0.800 0 (i)A 

-0.100 0 (on)A 

0.200 0 (i)A 

-0.700 0 32 -0.100 0 (ng )D 

0.300 0 (P)A 

-0.100 0 (h)A 

0.400 0 (a)A 

-0.600 0 (s)A 

0.400 0 (e)A 

; : 114 70 3000 2250 rc 0 0.400 0 sco F0_100

Ji 

-60.400 2049 1326 sR 

-0.200 0 (R)A 

0.400 0 (e)A 

-0.300 0 (f)A 

0.200 0 (i)A 

-0.100 0 (n)A 

0.400 0 (e)A 

0.100 0 (m)A 

-0.600 0 (e)A 

-0.100 0 (n)A 

-1.500 0 32 0.700 0 (t )D 

0.300 0 (P)A 

-0.100 0 (h)A 

0.400 0 (a)A 

-0.600 0 (s)A 

0.400 0 (e)A 

eR 

; 

N 1425 1541.500 M 3 1 rr : 1.000 0 0 sco O ; 

N 1423 1542.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1422 1543.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1423 1544.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1424 1545.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1425 1546.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1426 1547.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1427 1548.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1428 1549.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1429 1550.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1430 1551.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1431 1552.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1433 1553.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1434 1554.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1435 1555.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1436 1556.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1437 1557.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1438 1558.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1439 1559.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1441 1560.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1442 1561.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1443 1562.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1444 1563.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1445 1564.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1446 1565.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1447 1566.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1448 1567.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1449 1568.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1449 1569.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1450 1570.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1450 1571.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1450 1572.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1450 1573.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1450 1574.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1450 1575.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1449 1576.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1449 1577.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1449 1578.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1449 1579.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1449 1580.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1448 1581.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1448 1582.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1448 1583.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1448 1584.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1448 1585.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1448 1586.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1449 1587.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1450 1588.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1449 1589.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1450 1590.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1451 1591.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1451 1592.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1452 1593.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1453 1594.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1453 1595.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1454 1596.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1455 1597.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1456 1598.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1457 1599.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1458 1600.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1459 1601.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1460 1602.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1461 1603.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1462 1604.500 M 10 1 rr : 1.000 0 0 sco O ; 

N 1464 1605.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1465 1606.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1466 1607.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1467 1608.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1469 1609.500 M 3 1 rr : 1.000 0 0 sco O ; 

N 1470 1610.500 M 2 1 rr : 1.000 0 0 sco O ; 

N 1690 1287.500 M 2 1 rr : 0 0 0 sco O ; 

N 1690 1288.500 M 3 1 rr : 0 0 0 sco O ; 

N 1689 1289.500 M 5 1 rr : 0 0 0 sco O ; 

N 1689 1290.500 M 6 1 rr : 0 0 0 sco O ; 

N 1688 1291.500 M 9 1 rr : 0 0 0 sco O ; 

N 1689 1292.500 M 9 1 rr : 0 0 0 sco O ; 

N 1690 1293.500 M 9 1 rr : 0 0 0 sco O ; 

N 1691 1294.500 M 10 1 rr : 0 0 0 sco O ; 

N 1692 1295.500 M 10 1 rr : 0 0 0 sco O ; 

N 1694 1296.500 M 9 1 rr : 0 0 0 sco O ; 

N 1695 1297.500 M 10 1 rr : 0 0 0 sco O ; 

N 1696 1298.500 M 10 1 rr : 0 0 0 sco O ; 

N 1698 1299.500 M 9 1 rr : 0 0 0 sco O ; 

N 1699 1300.500 M 9 1 rr : 0 0 0 sco O ; 

N 1700 1301.500 M 10 1 rr : 0 0 0 sco O ; 

N 1702 1302.500 M 9 1 rr : 0 0 0 sco O ; 

N 1703 1303.500 M 9 1 rr : 0 0 0 sco O ; 

N 1704 1304.500 M 9 1 rr : 0 0 0 sco O ; 

N 1705 1305.500 M 9 1 rr : 0 0 0 sco O ; 

N 1707 1306.500 M 8 1 rr : 0 0 0 sco O ; 

N 1708 1307.500 M 8 1 rr : 0 0 0 sco O ; 

N 1709 1308.500 M 8 1 rr : 0 0 0 sco O ; 

N 1710 1309.500 M 8 1 rr : 0 0 0 sco O ; 

N 1711 1310.500 M 8 1 rr : 0 0 0 sco O ; 

N 1712 1311.500 M 8 1 rr : 0 0 0 sco O ; 

N 1713 1312.500 M 8 1 rr : 0 0 0 sco O ; 

N 1714 1313.500 M 9 1 rr : 0 0 0 sco O ; 

N 1715 1314.500 M 9 1 rr : 0 0 0 sco O ; 

N 1716 1315.500 M 9 1 rr : 0 0 0 sco O ; 

N 1717 1316.500 M 9 1 rr : 0 0 0 sco O ; 

N 1718 1317.500 M 9 1 rr : 0 0 0 sco O ; 

N 1720 1318.500 M 8 1 rr : 0 0 0 sco O ; 

N 1721 1319.500 M 8 1 rr : 0 0 0 sco O ; 

N 1722 1320.500 M 8 1 rr : 0 0 0 sco O ; 

N 1723 1321.500 M 7 1 rr : 0 0 0 sco O ; 

N 1724 1322.500 M 7 1 rr : 0 0 0 sco O ; 

N 1725 1323.500 M 7 1 rr : 0 0 0 sco O ; 

N 1725 1324.500 M 8 1 rr : 0 0 0 sco O ; 

N 1726 1325.500 M 7 1 rr : 0 0 0 sco O ; 

N 1727 1326.500 M 7 1 rr : 0 0 0 sco O ; 

N 1728 1327.500 M 7 1 rr : 0 0 0 sco O ; 

N 1729 1328.500 M 6 1 rr : 0 0 0 sco O ; 

N 1729 1329.500 M 7 1 rr : 0 0 0 sco O ; 

N 1730 1330.500 M 6 1 rr : 0 0 0 sco O ; 

N 1731 1331.500 M 6 1 rr : 0 0 0 sco O ; 

N 1731 1332.500 M 6 1 rr : 0 0 0 sco O ; 

N 1731 1333.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1334.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1335.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1336.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1337.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1338.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1339.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1340.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1341.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1342.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1343.500 M 6 1 rr : 0 0 0 sco O ; 

N 1731 1344.500 M 7 1 rr : 0 0 0 sco O ; 

N 1731 1345.500 M 6 1 rr : 0 0 0 sco O ; 

N 1731 1346.500 M 6 1 rr : 0 0 0 sco O ; 

N 1731 1347.500 M 6 1 rr : 0 0 0 sco O ; 

N 1731 1348.500 M 6 1 rr : 0 0 0 sco O ; 

N 1731 1349.500 M 6 1 rr : 0 0 0 sco O ; 

N 1730 1350.500 M 7 1 rr : 0 0 0 sco O ; 

N 1730 1351.500 M 6 1 rr : 0 0 0 sco O ; 

N 1730 1352.500 M 6 1 rr : 0 0 0 sco O ; 

N 1730 1353.500 M 6 1 rr : 0 0 0 sco O ; 

N 1729 1354.500 M 7 1 rr : 0 0 0 sco O ; 

N 1729 1355.500 M 6 1 rr : 0 0 0 sco O ; 

N 1729 1356.500 M 6 1 rr : 0 0 0 sco O ; 

N 1729 1357.500 M 6 1 rr : 0 0 0 sco O ; 

N 1729 1358.500 M 6 1 rr : 0 0 0 sco O ; 

N 1729 1359.500 M 6 1 rr : 0 0 0 sco O ; 

N 1729 1360.500 M 7 1 rr : 0 0 0 sco O ; 

N 1729 1361.500 M 7 1 rr : 0 0 0 sco O ; 

N 1730 1362.500 M 6 1 rr : 0 0 0 sco O ; 

N 1730 1363.500 M 7 1 rr : 0 0 0 sco O ; 

N 1731 1364.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1365.500 M 6 1 rr : 0 0 0 sco O ; 

N 1732 1366.500 M 6 1 rr : 0 0 0 sco O ; 

N 1733 1367.500 M 6 1 rr : 0 0 0 sco O ; 

N 1733 1368.500 M 7 1 rr : 0 0 0 sco O ; 

N 1733 1369.500 M 8 1 rr : 0 0 0 sco O ; 

N 1734 1370.500 M 8 1 rr : 0 0 0 sco O ; 

N 1735 1371.500 M 8 1 rr : 0 0 0 sco O ; 

N 1736 1372.500 M 8 1 rr : 0 0 0 sco O ; 

N 1737 1373.500 M 8 1 rr : 0 0 0 sco O ; 

N 1738 1374.500 M 9 1 rr : 0 0 0 sco O ; 

N 1739 1375.500 M 9 1 rr : 0 0 0 sco O ; 

N 1740 1376.500 M 9 1 rr : 0 0 0 sco O ; 

N 1741 1377.500 M 9 1 rr : 0 0 0 sco O ; 

N 1742 1378.500 M 9 1 rr : 0 0 0 sco O ; 

N 1744 1379.500 M 8 1 rr : 0 0 0 sco O ; 

N 1745 1380.500 M 8 1 rr : 0 0 0 sco O ; 

N 1746 1381.500 M 8 1 rr : 0 0 0 sco O ; 

N 1747 1382.500 M 8 1 rr : 0 0 0 sco O ; 

N 1748 1383.500 M 8 1 rr : 0 0 0 sco O ; 

N 1749 1384.500 M 8 1 rr : 0 0 0 sco O ; 

N 1750 1385.500 M 8 1 rr : 0 0 0 sco O ; 

N 1751 1386.500 M 8 1 rr : 0 0 0 sco O ; 

N 1752 1387.500 M 8 1 rr : 0 0 0 sco O ; 

N 1753 1388.500 M 8 1 rr : 0 0 0 sco O ; 

N 1754 1389.500 M 9 1 rr : 0 0 0 sco O ; 

N 1755 1390.500 M 9 1 rr : 0 0 0 sco O ; 

N 1756 1391.500 M 9 1 rr : 0 0 0 sco O ; 

N 1757 1392.500 M 9 1 rr : 0 0 0 sco O ; 

N 1758 1393.500 M 9 1 rr : 0 0 0 sco O ; 

N 1760 1394.500 M 6 1 rr : 0 0 0 sco O ; 

N 1761 1395.500 M 4 1 rr : 0 0 0 sco O ; 

N 1762 1396.500 M 2 1 rr : 0 0 0 sco O ; 

N 1726 1278.500 M 5 1 rr : 1.000 0 0 sco O ; 

N 1724 1279.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1725 1280.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1725 1281.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1726 1282.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1726 1283.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1727 1284.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1728 1285.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1729 1286.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1730 1287.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1730 1288.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1731 1289.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1732 1290.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1733 1291.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1733 1292.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1734 1293.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1735 1294.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1735 1295.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1736 1296.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1737 1297.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1737 1298.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1738 1299.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1738 1300.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1739 1301.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1739 1302.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1740 1303.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1740 1304.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1741 1305.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1741 1306.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1742 1307.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1742 1308.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1742 1309.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1743 1310.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1743 1311.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1743 1312.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1743 1313.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1743 1314.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1743 1315.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1743 1316.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1743 1317.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1743 1318.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1742 1319.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1742 1320.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1742 1321.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1742 1322.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1741 1323.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1741 1324.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1740 1325.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1740 1326.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1738 1327.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1738 1328.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1737 1329.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1736 1330.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1736 1331.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1735 1332.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1734 1333.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1734 1334.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1733 1335.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1733 1336.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1732 1337.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1732 1338.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1731 1339.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1730 1340.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1730 1341.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1729 1342.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1729 1343.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1728 1344.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1728 1345.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1727 1346.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1726 1347.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1726 1348.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1725 1349.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1724 1350.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1724 1351.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1723 1352.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1722 1353.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1722 1354.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1721 1355.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1721 1356.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1720 1357.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1720 1358.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1719 1359.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1719 1360.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1719 1361.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1719 1362.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1718 1363.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1718 1364.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1718 1365.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1718 1366.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1718 1367.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1718 1368.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1718 1369.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1718 1370.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1718 1371.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1718 1372.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1718 1373.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1719 1374.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1719 1375.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1719 1376.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1720 1377.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1720 1378.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1721 1379.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1721 1380.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1722 1381.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1722 1382.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1723 1383.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1723 1384.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1724 1385.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1724 1386.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1725 1387.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1726 1388.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1726 1389.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1727 1390.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1728 1391.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1729 1392.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1729 1393.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1730 1394.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1731 1395.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1731 1396.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1731 1397.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1732 1398.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1732 1399.500 M 3 1 rr : 1.000 0 0 sco O ; 

N 1905 881.500 M 4 1 rr : 0 0 0 sco O ; 

N 1903 882.500 M 6 1 rr : 0 0 0 sco O ; 

N 1904 883.500 M 6 1 rr : 0 0 0 sco O ; 

N 1904 884.500 M 6 1 rr : 0 0 0 sco O ; 

N 1905 885.500 M 6 1 rr : 0 0 0 sco O ; 

N 1905 886.500 M 7 1 rr : 0 0 0 sco O ; 

N 1905 887.500 M 7 1 rr : 0 0 0 sco O ; 

N 1906 888.500 M 7 1 rr : 0 0 0 sco O ; 

N 1907 889.500 M 7 1 rr : 0 0 0 sco O ; 

N 1907 890.500 M 8 1 rr : 0 0 0 sco O ; 

N 1908 891.500 M 7 1 rr : 0 0 0 sco O ; 

N 1909 892.500 M 7 1 rr : 0 0 0 sco O ; 

N 1910 893.500 M 7 1 rr : 0 0 0 sco O ; 

N 1910 894.500 M 8 1 rr : 0 0 0 sco O ; 

N 1911 895.500 M 7 1 rr : 0 0 0 sco O ; 

N 1912 896.500 M 7 1 rr : 0 0 0 sco O ; 

N 1913 897.500 M 7 1 rr : 0 0 0 sco O ; 

N 1913 898.500 M 7 1 rr : 0 0 0 sco O ; 

N 1914 899.500 M 7 1 rr : 0 0 0 sco O ; 

N 1915 900.500 M 7 1 rr : 0 0 0 sco O ; 

N 1915 901.500 M 8 1 rr : 0 0 0 sco O ; 

N 1916 902.500 M 7 1 rr : 0 0 0 sco O ; 

N 1917 903.500 M 7 1 rr : 0 0 0 sco O ; 

N 1918 904.500 M 7 1 rr : 0 0 0 sco O ; 

N 1918 905.500 M 7 1 rr : 0 0 0 sco O ; 

N 1919 906.500 M 7 1 rr : 0 0 0 sco O ; 

N 1920 907.500 M 7 1 rr : 0 0 0 sco O ; 

N 1920 908.500 M 7 1 rr : 0 0 0 sco O ; 

N 1921 909.500 M 7 1 rr : 0 0 0 sco O ; 

N 1922 910.500 M 6 1 rr : 0 0 0 sco O ; 

N 1922 911.500 M 7 1 rr : 0 0 0 sco O ; 

N 1923 912.500 M 6 1 rr : 0 0 0 sco O ; 

N 1923 913.500 M 7 1 rr : 0 0 0 sco O ; 

N 1924 914.500 M 6 1 rr : 0 0 0 sco O ; 

N 1924 915.500 M 7 1 rr : 0 0 0 sco O ; 

N 1925 916.500 M 6 1 rr : 0 0 0 sco O ; 

N 1925 917.500 M 7 1 rr : 0 0 0 sco O ; 

N 1926 918.500 M 6 1 rr : 0 0 0 sco O ; 

N 1926 919.500 M 7 1 rr : 0 0 0 sco O ; 

N 1927 920.500 M 6 1 rr : 0 0 0 sco O ; 

N 1927 921.500 M 6 1 rr : 0 0 0 sco O ; 

N 1927 922.500 M 7 1 rr : 0 0 0 sco O ; 

N 1928 923.500 M 6 1 rr : 0 0 0 sco O ; 

N 1928 924.500 M 7 1 rr : 0 0 0 sco O ; 

N 1929 925.500 M 6 1 rr : 0 0 0 sco O ; 

N 1929 926.500 M 6 1 rr : 0 0 0 sco O ; 

N 1929 927.500 M 7 1 rr : 0 0 0 sco O ; 

N 1930 928.500 M 6 1 rr : 0 0 0 sco O ; 

N 1930 929.500 M 6 1 rr : 0 0 0 sco O ; 

N 1930 930.500 M 6 1 rr : 0 0 0 sco O ; 

N 1930 931.500 M 6 1 rr : 0 0 0 sco O ; 

N 1930 932.500 M 6 1 rr : 0 0 0 sco O ; 

N 1930 933.500 M 6 1 rr : 0 0 0 sco O ; 

N 1930 934.500 M 6 1 rr : 0 0 0 sco O ; 

N 1930 935.500 M 6 1 rr : 0 0 0 sco O ; 

N 1930 936.500 M 6 1 rr : 0 0 0 sco O ; 

N 1930 937.500 M 6 1 rr : 0 0 0 sco O ; 

N 1930 938.500 M 6 1 rr : 0 0 0 sco O ; 

N 1930 939.500 M 6 1 rr : 0 0 0 sco O ; 

N 1929 940.500 M 6 1 rr : 0 0 0 sco O ; 

N 1929 941.500 M 6 1 rr : 0 0 0 sco O ; 

N 1929 942.500 M 6 1 rr : 0 0 0 sco O ; 

N 1929 943.500 M 6 1 rr : 0 0 0 sco O ; 

N 1928 944.500 M 6 1 rr : 0 0 0 sco O ; 

N 1928 945.500 M 6 1 rr : 0 0 0 sco O ; 

N 1928 946.500 M 6 1 rr : 0 0 0 sco O ; 

N 1927 947.500 M 7 1 rr : 0 0 0 sco O ; 

N 1927 948.500 M 6 1 rr : 0 0 0 sco O ; 

N 1926 949.500 M 7 1 rr : 0 0 0 sco O ; 

N 1926 950.500 M 6 1 rr : 0 0 0 sco O ; 

N 1925 951.500 M 7 1 rr : 0 0 0 sco O ; 

N 1925 952.500 M 6 1 rr : 0 0 0 sco O ; 

N 1924 953.500 M 7 1 rr : 0 0 0 sco O ; 

N 1924 954.500 M 6 1 rr : 0 0 0 sco O ; 

N 1924 955.500 M 6 1 rr : 0 0 0 sco O ; 

N 1923 956.500 M 7 1 rr : 0 0 0 sco O ; 

N 1923 957.500 M 6 1 rr : 0 0 0 sco O ; 

N 1922 958.500 M 7 1 rr : 0 0 0 sco O ; 

N 1921 959.500 M 7 1 rr : 0 0 0 sco O ; 

N 1921 960.500 M 7 1 rr : 0 0 0 sco O ; 

N 1920 961.500 M 7 1 rr : 0 0 0 sco O ; 

N 1920 962.500 M 6 1 rr : 0 0 0 sco O ; 

N 1919 963.500 M 7 1 rr : 0 0 0 sco O ; 

N 1918 964.500 M 7 1 rr : 0 0 0 sco O ; 

N 1918 965.500 M 7 1 rr : 0 0 0 sco O ; 

N 1917 966.500 M 7 1 rr : 0 0 0 sco O ; 

N 1916 967.500 M 7 1 rr : 0 0 0 sco O ; 

N 1916 968.500 M 7 1 rr : 0 0 0 sco O ; 

N 1915 969.500 M 7 1 rr : 0 0 0 sco O ; 

N 1914 970.500 M 7 1 rr : 0 0 0 sco O ; 

N 1913 971.500 M 8 1 rr : 0 0 0 sco O ; 

N 1913 972.500 M 7 1 rr : 0 0 0 sco O ; 

N 1912 973.500 M 7 1 rr : 0 0 0 sco O ; 

N 1911 974.500 M 7 1 rr : 0 0 0 sco O ; 

N 1911 975.500 M 7 1 rr : 0 0 0 sco O ; 

N 1910 976.500 M 7 1 rr : 0 0 0 sco O ; 

N 1910 977.500 M 6 1 rr : 0 0 0 sco O ; 

N 1909 978.500 M 7 1 rr : 0 0 0 sco O ; 

N 1908 979.500 M 7 1 rr : 0 0 0 sco O ; 

N 1908 980.500 M 7 1 rr : 0 0 0 sco O ; 

N 1907 981.500 M 7 1 rr : 0 0 0 sco O ; 

N 1907 982.500 M 6 1 rr : 0 0 0 sco O ; 

N 1906 983.500 M 7 1 rr : 0 0 0 sco O ; 

N 1905 984.500 M 7 1 rr : 0 0 0 sco O ; 

N 1905 985.500 M 7 1 rr : 0 0 0 sco O ; 

N 1904 986.500 M 7 1 rr : 0 0 0 sco O ; 

N 1903 987.500 M 7 1 rr : 0 0 0 sco O ; 

N 1903 988.500 M 7 1 rr : 0 0 0 sco O ; 

N 1902 989.500 M 7 1 rr : 0 0 0 sco O ; 

N 1901 990.500 M 7 1 rr : 0 0 0 sco O ; 

N 1901 991.500 M 7 1 rr : 0 0 0 sco O ; 

N 1900 992.500 M 7 1 rr : 0 0 0 sco O ; 

N 1900 993.500 M 6 1 rr : 0 0 0 sco O ; 

N 1899 994.500 M 7 1 rr : 0 0 0 sco O ; 

N 1899 995.500 M 6 1 rr : 0 0 0 sco O ; 

N 1898 996.500 M 7 1 rr : 0 0 0 sco O ; 

N 1898 997.500 M 6 1 rr : 0 0 0 sco O ; 

N 1897 998.500 M 7 1 rr : 0 0 0 sco O ; 

N 1897 999.500 M 6 1 rr : 0 0 0 sco O ; 

N 1896 1000.500 M 7 1 rr : 0 0 0 sco O ; 

N 1896 1001.500 M 6 1 rr : 0 0 0 sco O ; 

N 1895 1002.500 M 7 1 rr : 0 0 0 sco O ; 

N 1895 1003.500 M 6 1 rr : 0 0 0 sco O ; 

N 1895 1004.500 M 6 1 rr : 0 0 0 sco O ; 

N 1894 1005.500 M 7 1 rr : 0 0 0 sco O ; 

N 1894 1006.500 M 6 1 rr : 0 0 0 sco O ; 

N 1894 1007.500 M 6 1 rr : 0 0 0 sco O ; 

N 1894 1008.500 M 6 1 rr : 0 0 0 sco O ; 

N 1893 1009.500 M 7 1 rr : 0 0 0 sco O ; 

N 1893 1010.500 M 6 1 rr : 0 0 0 sco O ; 

N 1893 1011.500 M 6 1 rr : 0 0 0 sco O ; 

N 1893 1012.500 M 6 1 rr : 0 0 0 sco O ; 

N 1893 1013.500 M 6 1 rr : 0 0 0 sco O ; 

N 1893 1014.500 M 6 1 rr : 0 0 0 sco O ; 

N 1893 1015.500 M 6 1 rr : 0 0 0 sco O ; 

N 1893 1016.500 M 6 1 rr : 0 0 0 sco O ; 

N 1893 1017.500 M 6 1 rr : 0 0 0 sco O ; 

N 1893 1018.500 M 6 1 rr : 0 0 0 sco O ; 

N 1893 1019.500 M 6 1 rr : 0 0 0 sco O ; 

N 1893 1020.500 M 7 1 rr : 0 0 0 sco O ; 

N 1894 1021.500 M 6 1 rr : 0 0 0 sco O ; 

N 1894 1022.500 M 6 1 rr : 0 0 0 sco O ; 

N 1894 1023.500 M 6 1 rr : 0 0 0 sco O ; 

N 1894 1024.500 M 7 1 rr : 0 0 0 sco O ; 

N 1895 1025.500 M 6 1 rr : 0 0 0 sco O ; 

N 1895 1026.500 M 6 1 rr : 0 0 0 sco O ; 

N 1895 1027.500 M 6 1 rr : 0 0 0 sco O ; 

N 1895 1028.500 M 7 1 rr : 0 0 0 sco O ; 

N 1896 1029.500 M 6 1 rr : 0 0 0 sco O ; 

N 1896 1030.500 M 7 1 rr : 0 0 0 sco O ; 

N 1897 1031.500 M 6 1 rr : 0 0 0 sco O ; 

N 1897 1032.500 M 7 1 rr : 0 0 0 sco O ; 

N 1898 1033.500 M 7 1 rr : 0 0 0 sco O ; 

N 1898 1034.500 M 7 1 rr : 0 0 0 sco O ; 

N 1899 1035.500 M 7 1 rr : 0 0 0 sco O ; 

N 1900 1036.500 M 6 1 rr : 0 0 0 sco O ; 

N 1900 1037.500 M 7 1 rr : 0 0 0 sco O ; 

N 1901 1038.500 M 6 1 rr : 0 0 0 sco O ; 

N 1901 1039.500 M 7 1 rr : 0 0 0 sco O ; 

N 1902 1040.500 M 7 1 rr : 0 0 0 sco O ; 

N 1902 1041.500 M 7 1 rr : 0 0 0 sco O ; 

N 1903 1042.500 M 7 1 rr : 0 0 0 sco O ; 

N 1904 1043.500 M 7 1 rr : 0 0 0 sco O ; 

N 1904 1044.500 M 7 1 rr : 0 0 0 sco O ; 

N 1905 1045.500 M 7 1 rr : 0 0 0 sco O ; 

N 1906 1046.500 M 7 1 rr : 0 0 0 sco O ; 

N 1906 1047.500 M 7 1 rr : 0 0 0 sco O ; 

N 1907 1048.500 M 7 1 rr : 0 0 0 sco O ; 

N 1908 1049.500 M 7 1 rr : 0 0 0 sco O ; 

N 1908 1050.500 M 7 1 rr : 0 0 0 sco O ; 

N 1909 1051.500 M 7 1 rr : 0 0 0 sco O ; 

N 1910 1052.500 M 7 1 rr : 0 0 0 sco O ; 

N 1910 1053.500 M 7 1 rr : 0 0 0 sco O ; 

N 1911 1054.500 M 7 1 rr : 0 0 0 sco O ; 

N 1912 1055.500 M 6 1 rr : 0 0 0 sco O ; 

N 1912 1056.500 M 7 1 rr : 0 0 0 sco O ; 

N 1913 1057.500 M 7 1 rr : 0 0 0 sco O ; 

N 1913 1058.500 M 8 1 rr : 0 0 0 sco O ; 

N 1914 1059.500 M 7 1 rr : 0 0 0 sco O ; 

N 1915 1060.500 M 7 1 rr : 0 0 0 sco O ; 

N 1915 1061.500 M 7 1 rr : 0 0 0 sco O ; 

N 1916 1062.500 M 2 1 rr : 0 0 0 sco O ; 

N 1871 885.500 M 2 1 rr : 1.000 0 0 sco O ; 

N 1870 886.500 M 4 1 rr : 1.000 0 0 sco O ; 

N 1869 887.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1868 888.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1869 889.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1870 890.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1871 891.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1872 892.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1873 893.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1874 894.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1875 895.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1876 896.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1877 897.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1878 898.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1879 899.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1880 900.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1881 901.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1882 902.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1883 903.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1884 904.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1885 905.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1886 906.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1886 907.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1887 908.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1888 909.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1889 910.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1890 911.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1891 912.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1892 913.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1892 914.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1893 915.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1894 916.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1895 917.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1896 918.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1896 919.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1897 920.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1898 921.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1898 922.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1899 923.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1899 924.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1900 925.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1900 926.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1901 927.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1901 928.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1902 929.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1902 930.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1903 931.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1903 932.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1904 933.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1904 934.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1905 935.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1905 936.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1906 937.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1906 938.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1907 939.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1907 940.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1908 941.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1908 942.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1909 943.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1909 944.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1910 945.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1910 946.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1911 947.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1911 948.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1912 949.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1912 950.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1913 951.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1913 952.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1914 953.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1914 954.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1915 955.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1915 956.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1916 957.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1916 958.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1917 959.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1917 960.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1918 961.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1918 962.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1919 963.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1919 964.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1919 965.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1920 966.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1920 967.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1921 968.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1921 969.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1922 970.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1922 971.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1923 972.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1924 973.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1924 974.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1925 975.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1925 976.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1926 977.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1926 978.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1927 979.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1928 980.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1929 981.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1929 982.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1930 983.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1931 984.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 1932 985.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1933 986.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1934 987.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1935 988.500 M 10 1 rr : 1.000 0 0 sco O ; 

N 1936 989.500 M 10 1 rr : 1.000 0 0 sco O ; 

N 1938 990.500 M 10 1 rr : 1.000 0 0 sco O ; 

N 1939 991.500 M 10 1 rr : 1.000 0 0 sco O ; 

N 1940 992.500 M 10 1 rr : 1.000 0 0 sco O ; 

N 1942 993.500 M 10 1 rr : 1.000 0 0 sco O ; 

N 1943 994.500 M 10 1 rr : 1.000 0 0 sco O ; 

N 1945 995.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1946 996.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1947 997.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 1949 998.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1950 999.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1951 1000.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1951 1001.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1952 1002.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1953 1003.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1953 1004.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1954 1005.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1954 1006.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1954 1007.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1954 1008.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1955 1009.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1010.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1011.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1012.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1013.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1014.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1015.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1956 1016.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1017.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1018.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1019.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1020.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1021.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1022.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1023.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1024.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1025.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1026.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1027.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1028.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1029.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1030.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1031.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1032.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1033.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1034.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1035.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1036.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1037.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1038.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1956 1039.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1040.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1955 1041.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1042.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1043.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1044.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1045.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1046.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1047.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1048.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1049.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1050.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1051.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1052.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1955 1053.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1954 1054.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 1954 1055.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1954 1056.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1954 1057.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1954 1058.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1954 1059.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1954 1060.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1954 1061.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 1996 458.500 M 3 1 rr : 0 0 0 sco O ; 

N 1994 459.500 M 5 1 rr : 0 0 0 sco O ; 

N 1993 460.500 M 7 1 rr : 0 0 0 sco O ; 

N 1994 461.500 M 7 1 rr : 0 0 0 sco O ; 

N 1994 462.500 M 8 1 rr : 0 0 0 sco O ; 

N 1995 463.500 M 8 1 rr : 0 0 0 sco O ; 

N 1996 464.500 M 8 1 rr : 0 0 0 sco O ; 

N 1997 465.500 M 9 1 rr : 0 0 0 sco O ; 

N 1998 466.500 M 9 1 rr : 0 0 0 sco O ; 

N 1999 467.500 M 9 1 rr : 0 0 0 sco O ; 

N 2000 468.500 M 9 1 rr : 0 0 0 sco O ; 

N 2001 469.500 M 9 1 rr : 0 0 0 sco O ; 

N 2003 470.500 M 9 1 rr : 0 0 0 sco O ; 

N 2004 471.500 M 9 1 rr : 0 0 0 sco O ; 

N 2005 472.500 M 9 1 rr : 0 0 0 sco O ; 

N 2006 473.500 M 9 1 rr : 0 0 0 sco O ; 

N 2007 474.500 M 9 1 rr : 0 0 0 sco O ; 

N 2009 475.500 M 8 1 rr : 0 0 0 sco O ; 

N 2010 476.500 M 8 1 rr : 0 0 0 sco O ; 

N 2011 477.500 M 8 1 rr : 0 0 0 sco O ; 

N 2012 478.500 M 8 1 rr : 0 0 0 sco O ; 

N 2013 479.500 M 8 1 rr : 0 0 0 sco O ; 

N 2014 480.500 M 7 1 rr : 0 0 0 sco O ; 

N 2015 481.500 M 7 1 rr : 0 0 0 sco O ; 

N 2016 482.500 M 7 1 rr : 0 0 0 sco O ; 

N 2016 483.500 M 8 1 rr : 0 0 0 sco O ; 

N 2017 484.500 M 8 1 rr : 0 0 0 sco O ; 

N 2018 485.500 M 8 1 rr : 0 0 0 sco O ; 

N 2019 486.500 M 8 1 rr : 0 0 0 sco O ; 

N 2020 487.500 M 8 1 rr : 0 0 0 sco O ; 

N 2021 488.500 M 7 1 rr : 0 0 0 sco O ; 

N 2022 489.500 M 7 1 rr : 0 0 0 sco O ; 

N 2023 490.500 M 7 1 rr : 0 0 0 sco O ; 

N 2023 491.500 M 8 1 rr : 0 0 0 sco O ; 

N 2024 492.500 M 8 1 rr : 0 0 0 sco O ; 

N 2025 493.500 M 7 1 rr : 0 0 0 sco O ; 

N 2026 494.500 M 7 1 rr : 0 0 0 sco O ; 

N 2027 495.500 M 7 1 rr : 0 0 0 sco O ; 

N 2027 496.500 M 8 1 rr : 0 0 0 sco O ; 

N 2028 497.500 M 7 1 rr : 0 0 0 sco O ; 

N 2029 498.500 M 7 1 rr : 0 0 0 sco O ; 

N 2030 499.500 M 7 1 rr : 0 0 0 sco O ; 

N 2030 500.500 M 8 1 rr : 0 0 0 sco O ; 

N 2031 501.500 M 7 1 rr : 0 0 0 sco O ; 

N 2032 502.500 M 7 1 rr : 0 0 0 sco O ; 

N 2033 503.500 M 6 1 rr : 0 0 0 sco O ; 

N 2033 504.500 M 7 1 rr : 0 0 0 sco O ; 

N 2034 505.500 M 6 1 rr : 0 0 0 sco O ; 

N 2034 506.500 M 7 1 rr : 0 0 0 sco O ; 

N 2035 507.500 M 7 1 rr : 0 0 0 sco O ; 

N 2035 508.500 M 7 1 rr : 0 0 0 sco O ; 

N 2036 509.500 M 7 1 rr : 0 0 0 sco O ; 

N 2037 510.500 M 6 1 rr : 0 0 0 sco O ; 

N 2037 511.500 M 7 1 rr : 0 0 0 sco O ; 

N 2038 512.500 M 6 1 rr : 0 0 0 sco O ; 

N 2038 513.500 M 7 1 rr : 0 0 0 sco O ; 

N 2039 514.500 M 6 1 rr : 0 0 0 sco O ; 

N 2039 515.500 M 7 1 rr : 0 0 0 sco O ; 

N 2040 516.500 M 6 1 rr : 0 0 0 sco O ; 

N 2040 517.500 M 7 1 rr : 0 0 0 sco O ; 

N 2041 518.500 M 6 1 rr : 0 0 0 sco O ; 

N 2041 519.500 M 7 1 rr : 0 0 0 sco O ; 

N 2042 520.500 M 6 1 rr : 0 0 0 sco O ; 

N 2042 521.500 M 7 1 rr : 0 0 0 sco O ; 

N 2043 522.500 M 6 1 rr : 0 0 0 sco O ; 

N 2043 523.500 M 7 1 rr : 0 0 0 sco O ; 

N 2044 524.500 M 6 1 rr : 0 0 0 sco O ; 

N 2044 525.500 M 7 1 rr : 0 0 0 sco O ; 

N 2045 526.500 M 6 1 rr : 0 0 0 sco O ; 

N 2045 527.500 M 7 1 rr : 0 0 0 sco O ; 

N 2046 528.500 M 6 1 rr : 0 0 0 sco O ; 

N 2046 529.500 M 7 1 rr : 0 0 0 sco O ; 

N 2047 530.500 M 6 1 rr : 0 0 0 sco O ; 

N 2047 531.500 M 7 1 rr : 0 0 0 sco O ; 

N 2048 532.500 M 6 1 rr : 0 0 0 sco O ; 

N 2048 533.500 M 7 1 rr : 0 0 0 sco O ; 

N 2049 534.500 M 6 1 rr : 0 0 0 sco O ; 

N 2049 535.500 M 7 1 rr : 0 0 0 sco O ; 

N 2050 536.500 M 6 1 rr : 0 0 0 sco O ; 

N 2050 537.500 M 7 1 rr : 0 0 0 sco O ; 

N 2051 538.500 M 6 1 rr : 0 0 0 sco O ; 

N 2051 539.500 M 7 1 rr : 0 0 0 sco O ; 

N 2052 540.500 M 6 1 rr : 0 0 0 sco O ; 

N 2052 541.500 M 7 1 rr : 0 0 0 sco O ; 

N 2053 542.500 M 6 1 rr : 0 0 0 sco O ; 

N 2053 543.500 M 7 1 rr : 0 0 0 sco O ; 

N 2054 544.500 M 6 1 rr : 0 0 0 sco O ; 

N 2054 545.500 M 7 1 rr : 0 0 0 sco O ; 

N 2055 546.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 547.500 M 6 1 rr : 0 0 0 sco O ; 

N 2055 548.500 M 7 1 rr : 0 0 0 sco O ; 

N 2056 549.500 M 6 1 rr : 0 0 0 sco O ; 

N 2056 550.500 M 7 1 rr : 0 0 0 sco O ; 

N 2057 551.500 M 6 1 rr : 0 0 0 sco O ; 

N 2057 552.500 M 7 1 rr : 0 0 0 sco O ; 

N 2058 553.500 M 6 1 rr : 0 0 0 sco O ; 

N 2058 554.500 M 7 1 rr : 0 0 0 sco O ; 

N 2059 555.500 M 6 1 rr : 0 0 0 sco O ; 

N 2059 556.500 M 6 1 rr : 0 0 0 sco O ; 

N 2059 557.500 M 7 1 rr : 0 0 0 sco O ; 

N 2060 558.500 M 7 1 rr : 0 0 0 sco O ; 

N 2060 559.500 M 7 1 rr : 0 0 0 sco O ; 

N 2061 560.500 M 7 1 rr : 0 0 0 sco O ; 

N 2062 561.500 M 6 1 rr : 0 0 0 sco O ; 

N 2062 562.500 M 7 1 rr : 0 0 0 sco O ; 

N 2063 563.500 M 7 1 rr : 0 0 0 sco O ; 

N 2063 564.500 M 7 1 rr : 0 0 0 sco O ; 

N 2064 565.500 M 7 1 rr : 0 0 0 sco O ; 

N 2065 566.500 M 7 1 rr : 0 0 0 sco O ; 

N 2065 567.500 M 7 1 rr : 0 0 0 sco O ; 

N 2066 568.500 M 7 1 rr : 0 0 0 sco O ; 

N 2067 569.500 M 6 1 rr : 0 0 0 sco O ; 

N 2067 570.500 M 7 1 rr : 0 0 0 sco O ; 

N 2068 571.500 M 7 1 rr : 0 0 0 sco O ; 

N 2068 572.500 M 7 1 rr : 0 0 0 sco O ; 

N 2069 573.500 M 7 1 rr : 0 0 0 sco O ; 

N 2070 574.500 M 7 1 rr : 0 0 0 sco O ; 

N 2070 575.500 M 7 1 rr : 0 0 0 sco O ; 

N 2071 576.500 M 7 1 rr : 0 0 0 sco O ; 

N 2072 577.500 M 8 1 rr : 0 0 0 sco O ; 

N 2072 578.500 M 9 1 rr : 0 0 0 sco O ; 

N 2073 579.500 M 9 1 rr : 0 0 0 sco O ; 

N 2074 580.500 M 10 1 rr : 0 0 0 sco O ; 

N 2075 581.500 M 10 1 rr : 0 0 0 sco O ; 

N 2077 582.500 M 10 1 rr : 0 0 0 sco O ; 

N 2078 583.500 M 11 1 rr : 0 0 0 sco O ; 

N 2079 584.500 M 11 1 rr : 0 0 0 sco O ; 

N 2081 585.500 M 11 1 rr : 0 0 0 sco O ; 

N 2082 586.500 M 11 1 rr : 0 0 0 sco O ; 

N 2084 587.500 M 10 1 rr : 0 0 0 sco O ; 

N 2086 588.500 M 10 1 rr : 0 0 0 sco O ; 

N 2087 589.500 M 10 1 rr : 0 0 0 sco O ; 

N 2089 590.500 M 9 1 rr : 0 0 0 sco O ; 

N 2090 591.500 M 10 1 rr : 0 0 0 sco O ; 

N 2091 592.500 M 10 1 rr : 0 0 0 sco O ; 

N 2093 593.500 M 9 1 rr : 0 0 0 sco O ; 

N 2094 594.500 M 9 1 rr : 0 0 0 sco O ; 

N 2095 595.500 M 9 1 rr : 0 0 0 sco O ; 

N 2097 596.500 M 8 1 rr : 0 0 0 sco O ; 

N 2098 597.500 M 7 1 rr : 0 0 0 sco O ; 

N 2099 598.500 M 7 1 rr : 0 0 0 sco O ; 

N 2100 599.500 M 7 1 rr : 0 0 0 sco O ; 

N 2100 600.500 M 7 1 rr : 0 0 0 sco O ; 

N 2101 601.500 M 7 1 rr : 0 0 0 sco O ; 

N 2102 602.500 M 6 1 rr : 0 0 0 sco O ; 

N 2102 603.500 M 7 1 rr : 0 0 0 sco O ; 

N 2103 604.500 M 6 1 rr : 0 0 0 sco O ; 

N 2103 605.500 M 7 1 rr : 0 0 0 sco O ; 

N 2104 606.500 M 6 1 rr : 0 0 0 sco O ; 

N 2104 607.500 M 6 1 rr : 0 0 0 sco O ; 

N 2104 608.500 M 7 1 rr : 0 0 0 sco O ; 

N 2105 609.500 M 6 1 rr : 0 0 0 sco O ; 

N 2105 610.500 M 6 1 rr : 0 0 0 sco O ; 

N 2105 611.500 M 6 1 rr : 0 0 0 sco O ; 

N 2105 612.500 M 7 1 rr : 0 0 0 sco O ; 

N 2106 613.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 614.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 615.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 616.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 617.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 618.500 M 7 1 rr : 0 0 0 sco O ; 

N 2107 619.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 620.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 621.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 622.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 623.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 624.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 625.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 626.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 627.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 628.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 629.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 630.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 631.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 632.500 M 6 1 rr : 0 0 0 sco O ; 

N 2107 633.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 634.500 M 7 1 rr : 0 0 0 sco O ; 

N 2106 635.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 636.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 637.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 638.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 639.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 640.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 641.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 642.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 643.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 644.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 645.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 646.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 647.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 648.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 649.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 650.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 651.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 652.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 653.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 654.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 655.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 656.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 657.500 M 6 1 rr : 0 0 0 sco O ; 

N 2106 658.500 M 6 1 rr : 0 0 0 sco O ; 

N 2105 659.500 M 7 1 rr : 0 0 0 sco O ; 

N 2105 660.500 M 6 1 rr : 0 0 0 sco O ; 

N 2105 661.500 M 6 1 rr : 0 0 0 sco O ; 

N 2105 662.500 M 6 1 rr : 0 0 0 sco O ; 

N 2105 663.500 M 6 1 rr : 0 0 0 sco O ; 

N 2105 664.500 M 6 1 rr : 0 0 0 sco O ; 

N 2105 665.500 M 6 1 rr : 0 0 0 sco O ; 

N 2105 666.500 M 6 1 rr : 0 0 0 sco O ; 

N 2105 667.500 M 6 1 rr : 0 0 0 sco O ; 

N 2104 668.500 M 7 1 rr : 0 0 0 sco O ; 

N 2104 669.500 M 6 1 rr : 0 0 0 sco O ; 

N 2104 670.500 M 6 1 rr : 0 0 0 sco O ; 

N 2104 671.500 M 6 1 rr : 0 0 0 sco O ; 

N 2104 672.500 M 6 1 rr : 0 0 0 sco O ; 

N 2104 673.500 M 6 1 rr : 0 0 0 sco O ; 

N 2104 674.500 M 6 1 rr : 0 0 0 sco O ; 

N 2104 675.500 M 6 1 rr : 0 0 0 sco O ; 

N 2104 676.500 M 6 1 rr : 0 0 0 sco O ; 

N 2046 440.500 M 3 1 rr : 1.000 0 0 sco O ; 

N 2044 441.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2043 442.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2044 443.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2045 444.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2045 445.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2046 446.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2047 447.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2048 448.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2049 449.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2049 450.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2050 451.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2051 452.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2052 453.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2053 454.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2053 455.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2054 456.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2055 457.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2056 458.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2056 459.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2057 460.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2058 461.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2059 462.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2059 463.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2060 464.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2061 465.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2062 466.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2062 467.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2063 468.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2064 469.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2064 470.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2065 471.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2066 472.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2067 473.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2067 474.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2068 475.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2069 476.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2069 477.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2070 478.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2071 479.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2071 480.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2072 481.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2073 482.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2074 483.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2074 484.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2075 485.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2076 486.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2076 487.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2077 488.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2078 489.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2078 490.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2079 491.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2079 492.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2080 493.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2081 494.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2081 495.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2082 496.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2082 497.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2082 498.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2083 499.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2083 500.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2083 501.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2084 502.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2084 503.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2084 504.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2084 505.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2085 506.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2085 507.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2085 508.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2086 509.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2086 510.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2086 511.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2086 512.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2087 513.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 514.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 515.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 516.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 517.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 518.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 519.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 520.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 521.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 522.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 523.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 524.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 525.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 526.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 527.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 528.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 529.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 530.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 531.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 532.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 533.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 534.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 535.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2087 536.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2086 537.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2086 538.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2086 539.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2086 540.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2086 541.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2086 542.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2086 543.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2086 544.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2085 545.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2085 546.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2085 547.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2084 548.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2084 549.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2084 550.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2084 551.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2084 552.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2083 553.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2083 554.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2083 555.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2082 556.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2082 557.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2081 558.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2080 559.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2080 560.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2079 561.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2077 562.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2076 563.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 2074 564.500 M 10 1 rr : 1.000 0 0 sco O ; 

N 2072 565.500 M 11 1 rr : 1.000 0 0 sco O ; 

N 2071 566.500 M 11 1 rr : 1.000 0 0 sco O ; 

N 2069 567.500 M 11 1 rr : 1.000 0 0 sco O ; 

N 2068 568.500 M 11 1 rr : 1.000 0 0 sco O ; 

N 2066 569.500 M 11 1 rr : 1.000 0 0 sco O ; 

N 2064 570.500 M 11 1 rr : 1.000 0 0 sco O ; 

N 2063 571.500 M 11 1 rr : 1.000 0 0 sco O ; 

N 2061 572.500 M 11 1 rr : 1.000 0 0 sco O ; 

N 2060 573.500 M 11 1 rr : 1.000 0 0 sco O ; 

N 2059 574.500 M 10 1 rr : 1.000 0 0 sco O ; 

N 2058 575.500 M 9 1 rr : 1.000 0 0 sco O ; 

N 2058 576.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2057 577.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2056 578.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2055 579.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2054 580.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2053 581.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2052 582.500 M 8 1 rr : 1.000 0 0 sco O ; 

N 2052 583.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2051 584.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2051 585.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2050 586.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2049 587.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2049 588.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2049 589.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2048 590.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2048 591.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2048 592.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2048 593.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2048 594.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2047 595.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2047 596.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2047 597.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2047 598.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2047 599.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2047 600.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2048 601.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2048 602.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2048 603.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2048 604.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2048 605.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2048 606.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2049 607.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2049 608.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2049 609.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2049 610.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2050 611.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2050 612.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2050 613.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2050 614.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2051 615.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2051 616.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2051 617.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2052 618.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2052 619.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2052 620.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2053 621.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2053 622.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2053 623.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2054 624.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2054 625.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2054 626.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2055 627.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2055 628.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2055 629.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2056 630.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2056 631.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2056 632.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2057 633.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2057 634.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2058 635.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2058 636.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2059 637.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2059 638.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2060 639.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2060 640.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2060 641.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2061 642.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2061 643.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2062 644.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2062 645.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2062 646.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2063 647.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2063 648.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2064 649.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2064 650.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2064 651.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2065 652.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2065 653.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2066 654.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2066 655.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2066 656.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2067 657.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2067 658.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2068 659.500 M 6 1 rr : 1.000 0 0 sco O ; 

N 2068 660.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2068 661.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2069 662.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2069 663.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2070 664.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2070 665.500 M 7 1 rr : 1.000 0 0 sco O ; 

N 2071 666.500 M 2 1 rr : 1.000 0 0 sco O ; 

164 95 N M 2601 271 rr : 114 70 3000 2250 rc 0.647 0 0.129 sco F0_100

Ji 

201 111 M 

-0.300 0 (M)A 

-0.100 0 (u)A 

0.200 0 (l)A 

-0.300 0 (t)A 

0.200 0 (i)A 

-0.800 0 (l)A 

0.400 0 (eve)A 

1.000 0 32 -0.800 0 (l )D 

-0.100 0 (p)A 

-0.600 0 (a)A 

0.100 0 (r)A 

0.700 0 (t)A 

-0.800 0 (i)A 

0.700 0 (t)A 

-0.800 0 (i)A 

-0.100 0 (on)A 

0.200 0 (i)A 

-0.700 0 32 -0.100 0 (ng )D 

0.400 0 (a)A 

0.200 0 (l)A 

-0.100 0 (g)A 

-1.100 0 (o)A 

1.100 0 (r)A 

-0.800 0 (i)A 

-0.300 0 (t)A 

-0.100 0 (h)A 

0.100 0 (m)A 

-0.200 0 32 0.400 0 (s c)D 

-1.100 0 (o)A 

1.100 0 (m)A 

-1.100 0 (p)A 

-0.100 0 (u)A 

0.700 0 (t)A 

0.800 0 32 -0.600 0 (e )D 

-1.200 0 32 0.400 0 (a )D 

-0.100 0 (p)A 

0.400 0 (a)A 

0.100 0 (r)A 

-0.300 0 (t)A 

0.200 0 (i)A 

-0.300 0 (t)A 

0.200 0 (i)A 

-0.100 0 (on)A 

; : 114 70 3000 2250 rc 0.647 0 0.129 sco F0_100

Ji 

273 231 M 

0.400 0 (a)A 

0.500 0 32 -0.300 0 (t t)D 

-0.100 0 (h)A 

-1.200 0 32 0.400 0 (e c)D 

-0.100 0 (o)A 

0.400 0 (a)A 

0.100 0 (r)A 

-0.600 0 (s)A 

0.400 0 (es)A 

0.500 0 32 -0.300 0 (t )D 

-0.100 0 (g)A 

0.100 0 (r)A 

0.400 0 (a)A 

-1.100 0 (p)A 

0.300 0 32 -0.100 0 (h )D 

0.400 0 (a)A 

-0.700 0 32 -0.100 0 (nd )D 

0.700 0 (t)A 

-1.100 0 (h)A 

0.400 0 (e)A 

0.300 0 32 -0.100 0 (n )D 

0.100 0 (r)A 

-0.600 0 (e)A 

0.700 0 (f)A 

-0.800 0 (i)A 

-0.100 0 (n)A 

-0.200 0 32 0.400 0 (e )D 

-0.300 0 (t)A 

-0.100 0 (h)A 

-1.200 0 32 0.400 0 (e s)D 

-0.100 0 (o)A 

0.200 0 (l)A 

-1.100 0 (u)A 

0.700 0 (t)A 

-0.800 0 (i)A 

-0.100 0 (on)A 

0.700 0 (!)A 

; 

LH 

pagesave restore







/Pscript_Win_Driver /ProcSet findresource dup /terminate get exec

Pscript_Win_Compat dup /terminate get exec



restore gr
%
% End Imported PIC File: slide8.eps
%
/Helvetica-Bold findfont 300.00 scalefont setfont
14550 7514 m
gs 1 -1 sc (\(b\)) col-1 show gr
/Helvetica-Bold findfont 300.00 scalefont setfont
5100 5864 m
gs 1 -1 sc (\(a\)) col-1 show gr
$F2psEnd
restore
%%EndDocument
 @endspecial 678 2789 a Fy(Figure)e(1)p FL(:)26 b Fx(\(a\))18
b(T)-8 b(r)o(aditional)18 b(par)s(titioning)g(algor)q(ithms)o(.)k
(\(b\))c(Multile)n(v)n(el)h(par)s(titioning)f(algor)q(ithms)o(.)100
2982 y FL(The)h(adv)n(antages)g(of)j Fz(M)l FG(E)-17
b Fz(T)g FG(I)p Fz(S)24 b FL(compared)19 b(to)h(other)f(similar)i
(packages)e(are)h(the)g(follo)n(wing:)88 3167 y Fw(+)42
b FC(Pr)o(o)o(vides)19 b(high)i(quality)f(partitions!)208
3277 y FL(Experiments)j(on)i(a)h(lar)o(ge)f(number)e(of)j(graphs)e
(arising)h(in)g(v)n(arious)g(domains)f(including)g(\002nite)i(element)f
(methods,)g(linear)208 3386 y(programming,)g(VLSI,)i(and)g
(transportation)e(sho)n(w)h(that)k Fz(M)l FG(E)-17 b
Fz(T)g FG(I)p Fz(S)31 b FL(produces)26 b(partitions)g(that)i(are)f
(consistently)f(better)h(than)208 3496 y(those)g(produced)f(by)h(other)
g(widely)g(used)h(algorithms.)47 b(The)27 b(partitions)g(produced)e(by)
30 b Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)32 b FL(are)c(consistently)f
(10\045)g(to)208 3606 y(50\045)19 b(better)h(than)g(those)g(produced)e
(by)h(spectral)h(partitioning)f(algorithms)g([1)o(,)h(4].)88
3790 y Fw(+)42 b FC(It)20 b(is)h(extr)o(emely)e(fast!)208
3900 y FL(Experiments)d(on)i(a)g(wide)g(range)f(of)h(graphs)f(has)i
(sho)n(wn)e(that)j Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)23
b FL(is)c(one)e(to)i(tw)o(o)f(orders)f(of)h(magnitude)e(f)o(aster)j
(than)e(other)208 4010 y(widely)h(used)h(partitioning)e(algorithms.)24
b(Figure)18 b(2)i(sho)n(ws)f(the)g(amount)f(of)h(time)g(required)e(to)j
(partition)e(a)i(v)n(ariety)e(of)h(graphs)208 4119 y(in)h(256)g(parts)h
(for)f(tw)o(o)g(dif)n(ferent)f(architectures,)g(an)i(R10000-based)d
(SGI)j(Challenge)f(and)g(a)h(Pentium)f(Pro-based)f(personal)208
4229 y(computer)-5 b(.)30 b(Graphs)21 b(containing)g(up)h(to)g(four)f
(million)h(v)o(ertices)g(can)g(be)g(partitioned)f(in)i(256)e(parts)h
(in)h(well)g(under)e(a)h(minute)208 4338 y(on)g(today')-5
b(s)22 b(scienti\002c)h(w)o(orkstations.)33 b(The)22
b(run)g(time)h(of)i Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)27
b FL(is)d(comparable)c(to)j(\(or)g(e)n(v)o(en)f(smaller)g(than\))g(the)
h(run)f(time)208 4448 y(of)d(some)h(geometric)f(partitioning)f
(algorithms)h(that)i(often)e(produce)f(much)h(w)o(orse)i(partitions.)88
4633 y Fw(+)42 b FC(Pr)o(o)o(vides)19 b(lo)o(w)h(\002ll)i(orderings!)
208 4742 y FL(The)29 b(\002ll-reducing)f(orderings)g(produced)f(by)32
b Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)34 b FL(are)c(substantially)f
(better)g(than)h(those)f(produced)f(by)h(other)g(widely)208
4852 y(used)18 b(algorithms)g(including)g(multiple)g(minimum)g(de)o
(gree.)23 b(F)o(or)18 b(man)o(y)g(classes)j(of)d(problems)g(arising)h
(in)g(scienti\002c)g(compu-)208 4962 y(tations)k(and)g(linear)g
(programming,)f Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)27
b FL(is)e(able)e(to)g(reduce)g(the)g(storage)f(and)h(computational)e
(requirements)g(of)j(sparse)208 5071 y(matrix)e(f)o(actorization)f
(methods)g(by)h(up)h(to)g(an)f(order)g(of)g(magnitude.)31
b(Moreo)o(v)o(er)m(,)20 b(unlik)o(e)i(multiple)g(minimum)f(de)o(gree,)h
(the)208 5181 y(elimination)f(trees)h(produced)e(by)k
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)27 b FL(are)22 b(suited)g(for)g
(parallel)g(direct)f(f)o(actorization.)30 b(Furthermore,)20
b(as)j(Figure)f(2)g(illus-)208 5290 y(trates,)g Fz(M)l
FG(E)-17 b Fz(T)g FG(I)p Fz(S)24 b FL(is)d(able)e(to)h(compute)f(these)
h(ordering)e(v)o(ery)g(f)o(ast.)26 b(Matrices)20 b(with)g(o)o(v)o(er)e
(tw)o(o)i(hundred)e(thousand)g(ro)n(ws)i(can)g(be)208
5400 y(reordered)d(in)k(just)f(a)h(fe)n(w)f(seconds)g(on)g(current)e
(generation)h(w)o(orkstations)g(and)g(PCs.)1929 5649
y(4)p eop
%%Page: 5 5
5 4 bop 690 3717 a @beginspecial 0 @llx 0 @lly 716 @urx
1056 @ury 3024 @rwi @setspecial
%%BeginDocument: ./figures/slides.eps
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {0 setgray} bind def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def

end
save
-30.0 1113.0 translate
1 -1 scale

/cp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/sa {save} bind def
/rs {restore} bind def
/l {lineto} bind def
/m {moveto} bind def
/rm {rmoveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/sh {show} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/sd {setdash} bind def
/ff {findfont} bind def
/sf {setfont} bind def
/scf {scalefont} bind def
/sw {stringwidth} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
  4 -2 roll dup 1 exch sub 3 -1 roll mul add
  4 -2 roll dup 1 exch sub 3 -1 roll mul add
  4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
  bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
  4 -2 roll mul srgb} bind def
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def

$F2psBegin
10 setmiterlimit
n -1000 19537 m -1000 -1000 l 13423 -1000 l 13423 19537 l cp clip
 0.06000 0.06000 sc
% Polyline
%
% Begin Imported EPS File: slide1.eps
%
n gs
525 973 tr
16.646067 -16.638623 sc
0 -523 tr
-40 -50 tr
sa
n 40 50 m 752 50 l 752 573 l 40 573 l cp clip
countdictstack
mark
/showpage {} def
% EPS file follows:















/defineresource where{pop}{userdict begin/defineresource{userdict/Resources 2

copy known{get begin}{15 dict dup begin put}ifelse exch readonly exch

currentdict 1 index known not{dup 30 dict def}if load 3 -1 roll 2 index put

end}bind readonly def/findresource{userdict/Resources get exch get exch get}

bind readonly def/resourceforall{pop pop pop pop}bind readonly def

/resourcestatus{userdict/Resources 2 copy known{get exch 2 copy known{get exch

known{0 -1 true}{pop pop false}ifelse}{pop pop pop false}ifelse}{pop pop false

}ifelse}bind readonly def end}ifelse



/Pscript_Win_Driver 200 dict dup begin


/FatalErrorIf{{initgraphics findfont exch scalefont setfont counttomark 3 div

cvi{moveto show}repeat showpage quit}{cleartomark}ifelse}bind def


/VM? {vmstatus exch sub exch pop gt { [

(This job requires more memory than is available in this printer.) 100 500

(Try one or more of the following, and then print again:) 100 485

(In the PostScript dialog box, click Optimize For Portability.) 115 470

(In the Device Options dialog box, make sure the Available Printer Memory is accurate.) 115 455

(Reduce the number of fonts in the document.) 115 440

(Print the document in parts.) 115 425

12 /Times-Roman showpage

(%%[ PrinterError: Low Printer VM ]%%) =

true FatalErrorIf}if} bind def


/|/def load def/,/load load |/~/exch , |/?/ifelse , |/!/pop , |/`/begin , |/^

/index , |/@/dup , |/+/translate , |/$/roll , |/U/userdict , |/M/moveto , |/-

/rlineto , |/&/currentdict , |/:/gsave , |/;/grestore , |/F/false , |/T/true ,

|/N/newpath , |/E/end , |/Ac/arc , |/An/arcn , |/A/ashow , |/D/awidthshow , |

/C/closepath , |/V/div , |/O/eofill , |/L/fill , |/I/lineto , |/-C/rcurveto ,

|/-M/rmoveto , |/+S/scale , |/Ji/setfont , |/Lc/setlinecap , |/Lj/setlinejoin

, |/Lw/setlinewidth , |/S/show , |/LH/showpage , |/K/stroke , |/W/widthshow ,

|/R/rotate , |/b{bind |}bind |/bd{bind |}bind |/xd{~ |}bd/ld{, |}bd/lw/Lw ld

/lc/Lc ld/lj/Lj ld/sg/setgray ld/L2? F/languagelevel where{! languagelevel 2

ge{! T}if}if |/g{@ not{U/DefIf_save save put}if U/DefIf_bool 2 ^ put}b

/DefIf_El{if U/DefIf_bool get not @{U/DefIf_save get restore}if}b/e{DefIf_El !

}b/self & |/reinitialize{[/TextInit/GraphInit/UtilsInit counttomark{@ where{

self eq}{F}?{cvx exec}{!}?}repeat cleartomark}b/initialize{`{/ADO_mxRot ~ |

/TextInitialised? F | reinitialize E}{U/Pscript_Win_Data 200 dict @ ` put

/ADO_mxRot ~ |/TextInitialised? F | reinitialize}?}b/terminate{!{& self eq{

exit}{E}?}loop E}b/suspend/terminate , |/resume{` Pscript_Win_Data `}b/snap{

transform 0.25 sub round 0.25 add ~ 0.25 sub round 0.25 add ~ itransform}b

/dsnap{dtransform round ~ round ~ idtransform}b<04>cvn{}|/setjn{{statusdict

/jobname known{statusdict/jobname 3 -1 $ put}if}stopped cleartomark}b/solid{[]

0 setdash}b/setdsh{0 setdash}b/colspRefresh{}b/rp{4 2 $ M 1 ^ 0 - 0 ~ - neg 0

-}b/rr{1 ^ 0 - 0 ~ - neg 0 - C}b



L2? not g{/rf{N rp L}b/fx{1 1 dtransform @ 0 ge{1 sub 1}{1 add -0.25}? 3 -1 $

@ 0 ge{1 sub 1}{1 add -0.25}? 3 1 $ 4 1 $ idtransform 4 -2 $ idtransform}b/BZ{

4 -2 $ snap + +S fx rf}b/rs{N rp C K}b/rc{N rp clip N}b/sg{setgray}b/sco{

setrgbcolor}b/sgco{{sg}{sco}?}b}e



L2? g{/colspA/DeviceGray |/colspABC/DeviceRGB |/setAorABC{{colspA}{colspABC}?

setcolorspace}b/rf/rectfill , |/fx{1 1 dtransform @ 0 ge{1 sub 0.5}{1 add -0.5

}? 3 -1 $ @ 0 ge{1 sub 0.5}{1 add -0.5}? 3 1 $ 4 1 $ idtransform 4 -2 $

idtransform}b/BZ{4 -2 $ snap + +S fx rf}b/rs/rectstroke , |/rc/rectclip , |/sg

{@ @ setcolor}b/sco{setcolor}b/colspRefresh{colspABC setcolorspace}b/sgco{{sg

}{sco}?}b/UtilsInit{F setglobal}b/definecolorrendering{/ColorRendering

defineresource !}b/findcolorrendering{@/ColorRendering resourcestatus{! !

/ColorRendering findresource T}{! F}?}b/selectcolorrendering{@/ColorRendering

resourcestatus{! !/ColorRendering}{!/DefaultColorRendering/ColorRendering}?

findresource setcolorrendering}b}e



/bullets{{/bullet}repeat}b/ANSIEncoding[/grave/acute/circumflex/tilde/macron

/breve/dotaccent/dieresis/ring/cedilla/hungarumlaut/ogonek/caron/dotlessi 18

bullets StandardEncoding 32 95 getinterval aload ! 3 bullets/quotesinglbase

/florin/quotedblbase/ellipsis/dagger/daggerdbl/circumflex/perthousand/Scaron

/guilsinglleft/OE 4 bullets/quoteleft/quoteright/quotedblleft/quotedblright

/bullet/endash/emdash/tilde/trademark/scaron/guilsinglright/oe 2 bullets

/Ydieresis/space/exclamdown/cent/sterling/currency/yen/brokenbar/section

/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/hyphen/registered

/macron/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph

/periodcentered/cedilla/onesuperior/ordmasculine/guillemotright/onequarter

/onehalf/threequarters/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis

/Aring/AE/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute

/Icircumflex/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis

/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls

/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute

/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde/ograve

/oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex

/udieresis/yacute/thorn/ydieresis]| ANSIEncoding @ 39/quotesingle put 96/grave

put/ANSIEncodingOld ANSIEncoding 256 array copy | ANSIEncodingOld @[138 153

154 169 172 174 177 178 179 181 185 188 189 190 208 215 221 222 240 247 253

254]{/bullet put @}forall 166/bar put 176/ring put



/TextInit{TextInitialised? not{/Pscript_Windows_Font & |/TextInitialised? T |

/fM[1 0 0 -1 0 0]|/mFM matrix |/iMat[1 0 0.212557 neg 1 0 0]|}if}b/xUP null |

/yUP null |/uW null |/xSP null |/ySP null |/sW null |/copyfont{1 ^ length add

dict `{1 ^/FID ne{|}{! !}?}forall & E}b/rF{3 copyfont @ `/Encoding

ANSIEncoding &/CharStrings known{CharStrings/Eth known not{! ANSIEncodingOld}

if}if | E}b/mF{findfont ~{@/Encoding get @ StandardEncoding eq{! T}{{

ISOLatin1Encoding}stopped{! F}{eq}?{T}{@ ` T 32 1 127{Encoding 1 ^ get

StandardEncoding 3 -1 $ get eq and}for E}?}?}{F}?{rF}{3 copyfont}? `

/OrigFontType ~ |/OrigFontName ~ | & E 2 ^ ~ definefont fM 5 4 -1 $ put fM 4 0

put fM makefont Pscript_Windows_Font 3 1 $ put}b/xF{scalefont

Pscript_Windows_Font 3 1 $ put}b/xMF{mFM astore makefont Pscript_Windows_Font

3 1 $ put}b/xF2/scalefont , |/xMF2{mFM astore makefont}b/sLT{: Lw -M

currentpoint snap M 0 - 0 Lc K ;}b/sSU{N/uW ~ |/yUP ~ |/xUP ~ |}b/sU{xUP yUP

uW sLT}b/sST{N/sW ~ |/ySP ~ |/xSP ~ |}b/sT{xSP ySP sW sLT}b/sR{: + R 0 0 M}b

/sRxy{: matrix astore concat 0 0 M}b/eR/; , |



/mBF{@ 4 copyfont `/FontName ~ |/OrigFontType ~ |/OrigFontName ~ | 0

FontMatrix idtransform ! &/PaintType known{PaintType 0 eq{/PaintType 2 |

/StrokeWidth ~ |}{PaintType 1 eq PaintType 2 eq or PaintType 3 eq or &

/StrokeWidth known and{StrokeWidth add/StrokeWidth ~ |}{!}?}?}{!}? @ & E

definefont Pscript_Windows_Font 3 1 $ put}b/xBF{Pscript_Windows_Font ` 1 ^

/FontName get 1 ^ scalefont 3 1 $ scalefont 2 copy ~ | ~ ! | E}b/xMBF{mFM

astore Pscript_Windows_Font ` 1 ^/FontName get 1 ^ makefont 3 1 $ makefont 2

copy ~ | ~ ! | E}b/xBF2{/sB0 ~ mBF/sB1 sB0 3 -1 $ xBF sB1}b/xMBF2{/sB0 ~ mBF

mFM astore/sB1 sB0 3 -1 $ xMBF sB1}b/sB{: Pscript_Windows_Font currentfont get

Ji @ S ; S}b/asB{: Pscript_Windows_Font currentfont get Ji 3 copy A ; A}b/wsB{

: Pscript_Windows_Font currentfont get Ji 4 copy W ; W}b/awsB{:

Pscript_Windows_Font currentfont get Ji 6 copy D ; D}b/sBT3{: @ S ; 1 1 -M S}b

/asBT3{: 3 copy A ; 1 1 -M A}b/wsBT3{: 4 copy W ; 1 1 -M W}b/awsBT3{: 6 copy D

; 1 1 -M D}b/mIF{iMat 4 3 -1 $ put 2 copyfont `/OrigFontType ~ |/OrigFontName

~ | @ & E definefont iMat makefont Pscript_Windows_Font 3 1 $ put}b



/SavedCTM null |/CTMsave{/SavedCTM SavedCTM currentmatrix |}b/CTMrestore{

SavedCTM setmatrix}b/mp null |/ADO_mxRot null |/GDIHMatrix null |

/GDIHPatternDict 22 dict | GDIHPatternDict `/PatternType 1 |/PaintType 2 |

/Reps L2?{1}{5}? |/XStep 8 Reps mul |/YStep XStep |/BBox[0 0 XStep YStep]|

/TilingType 1 |/PaintProc{` 1 Lw[]0 setdash PaintData , exec E}b/FGnd null |

/BGnd null |/HS_Horizontal{horiz}b/HS_Vertical{vert}b/HS_FDiagonal{fdiag}b

/HS_BDiagonal{biag}b/HS_Cross{horiz vert}b/HS_DiagCross{fdiag biag}b/MaxXYStep

XStep YStep gt{XStep}{YStep}? |/horiz{Reps{0 4 M XStep 0 - 0 8 +}repeat 0 -8

Reps mul + K}b/vert{Reps{4 0 M 0 YStep - 8 0 +}repeat 0 -8 Reps mul + K}b/biag

{Reps{0 0 M MaxXYStep @ - 0 YStep neg M MaxXYStep @ - 0 8 +}repeat 0 -8 Reps

mul + 0 YStep M 8 8 - K}b/fdiag{Reps{0 0 M MaxXYStep @ neg - 0 YStep M

MaxXYStep @ neg - 0 8 +}repeat 0 -8 Reps mul + MaxXYStep @ M 8 -8 - K}b E

/makehatch{GDIHPatternDict/PaintData 3 -1 $ put CTMsave GDIHMatrix setmatrix

GDIHPatternDict matrix mp CTMrestore ~ U ~ 2 ^ put}b/h0{/h0/HS_Horizontal

makehatch}b/h1{/h1/HS_Vertical makehatch}b/h2{/h2/HS_FDiagonal makehatch}b/h3{

/h3/HS_BDiagonal makehatch}b/h4{/h4/HS_Cross makehatch}b/h5{/h5/HS_DiagCross

makehatch}b/GDIBWPatternDict 17 dict @ `/PatternType 1 |/PaintType L2?{1}{2}?

|/RepsV L2?{1}{6}? |/RepsH L2?{1}{5}? |/BBox[0 0 RepsH 1]|/TilingType 1 |

/XStep 1 |/YStep 1 |/Height 8 RepsV mul |/Width 8 |/mx[Width 0 0 Height neg 0

Height]|/FGnd null |/BGnd null |/SetBGndFGnd L2?{{BGnd null ne{BGnd aload !

sgco BBox aload ! 2 ^ sub ~ 3 ^ sub ~ rf}if FGnd null ne{FGnd aload ! sgco}if}

}{{}}? b/PaintProc{` SetBGndFGnd RepsH{Width Height F mx PaintData imagemask

Width 0 +}repeat E}b E |/GDIBWPatternMx null |/pfprep{save 4 1 $

/PatternOfTheDay 4 1 $ GDIBWPatternDict `/PaintData ~ |/BGnd ~ |/FGnd ~ | E

CTMsave GDIBWPatternMx setmatrix GDIBWPatternDict matrix mp CTMrestore ~ !}b

/hrf null |/prf{pfprep ~ 6 1 $ 5 hrf restore}b/GraphInit{GDIHMatrix null eq{

/SavedCTM matrix | : ADO_mxRot concat 0 0 snap + : 0.48 @ GDIHPatternDict `

YStep mul ~ XStep mul ~ dsnap YStep V ~ XStep V ~ E +S/GDIHMatrix matrix

currentmatrix readonly | ; : 0.24 -0.24 +S GDIBWPatternDict ` Width Height E

dsnap +S/GDIBWPatternMx matrix currentmatrix readonly | ; ;}if}b/cirp{360 0 An

C}b/ellp{CTMsave + +S 0.5 0 M 0 0 0.5 360 0 An C CTMrestore}b/rrp{/rad ~ |/y2

~ |/x2 ~ |/y1 ~ |/x1 ~ | x2 x1 add 2 V y1 M x1 y1 x1 y2 rad arct x1 y2 x2 y2

rad arct x2 y2 x2 y1 rad arct x2 y1 x1 y1 rad arct C}b/RRp{CTMsave + +S/dyS ~

|/dxS ~ | dxS 2 V 0 M 0 0 0 dyS 0.5 arct 0 dyS dxS dyS 0.5 arct dxS dyS dxS 0

0.5 arct dxS 0 0 0 0.5 arct C CTMrestore}b



L2? not g{/arct{arcto ! ! ! !}b/GDIpattfill{@ ` BGnd null ne PaintType 2 eq

and{: BGnd aload ! sgco fEOFill{O}{L}? ; FGnd aload ! U/fGray 2 ^ put{2}{4}?

-1 $}if E @ patterncalc : 4 ^/PaintType get 2 eq{fGray{6 -1 $ sg}{8 -3 $ sco}?

}if fEOFill{eoclip}{clip}? N patternfill ; N}b/hrf{/fGray 1 ^ 6 eq | -4 $ N rp

C/fEOFill F | GDIpattfill}b/hfMain{/fEOFill ~ |/fGray ~ | GDIpattfill}b/hf{T

hfMain}b/hfW{F hfMain}b/hs{currentpoint strokepath M hfW}b/pfMain{/fEOFill ~ |

pfprep GDIpattfill restore N}b/pf{T pfMain}b/pfW{F pfMain}b/ps{currentpoint

strokepath M pfW}b/mpstr 1 string |/mp{~ @ length 12 add dict copy `

/PatternCTM matrix currentmatrix |/PatternMatrix ~ |/PatWidth XStep mpstr

length mul |/PatHeight YStep |/FontType 3 |/Encoding 256 array | 3 string 0 1

255{Encoding ~ @ 3 ^ cvs cvn put}for !/FontMatrix matrix |/FontBBox BBox |

/BuildChar{! @ ` XStep 0 FontBBox aload ! setcachedevice/PaintProc , E : exec

;}b & E ~ @ 3 -1 $ definefont}b/patterncalc{` : PatternCTM setmatrix

PatternMatrix concat BBox aload ! ! ! + pathbbox ; PatHeight V ceiling 4 1 $

PatWidth V ceiling 4 1 $ PatHeight V floor 4 1 $ PatWidth V floor 4 1 $ 2 ^

sub cvi abs ~ 3 ^ sub cvi abs ~ 4 2 $ PatHeight mul ~ PatWidth mul ~ E}b

/patternfill{5 -1 $ @ ` Ji PatternCTM setmatrix PatternMatrix concat 0 2 ^ 2 ^

M 0 1 mpstr length 1 sub{1 ^ mpstr 3 1 $ put}for ! 2 ^{currentpoint 5 ^{mpstr

S}repeat YStep add M}repeat ! ! ! ! E}b}e



L2? g{/mp/makepattern , |/hrf{6 eq setAorABC setpattern rectfill}b/hf{

setAorABC setpattern O}b/hfW{setAorABC setpattern L}b/hs{setAorABC setpattern

K}b/pf{pfprep setpattern O restore N}b/pfW{pfprep setpattern L restore N}b/ps{

pfprep setpattern K restore N}b}e



/iw 0 |/ih 0 |/im_save 0 |/s 0 |/polarity 0 |/smoothflag 0 |/mystring 0 |/bpc

0 |/setup1asciiproc{[currentfile mystring/readhexstring cvx/! cvx]cvx bind}b

/setup1binaryproc{[currentfile mystring/readstring cvx/! cvx]cvx bind}b

/setup2asciiproc{currentfile/ASCII85Decode filter/RunLengthDecode filter}b

/setup2binaryproc{currentfile/RunLengthDecode filter}b/mycolorspace{colspABC}|

/myimagedict{/myimagedict 10 dict | myimagedict @ `/ImageType 1 |

/MultipleDataSource F | E}b/imageprocarray[/setup1binaryproc/setup1asciiproc

/setup2binaryproc/setup2asciiproc/setup1binarydecodeproc/setup1asciidecodeproc

]|/L2Polarity{{[1 0]}{[0 1]}?}b/Q{/im_save save | imageprocarray ~ get/s ~ , |

L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring ~

string |/bpc ~ |/ih ~ |/iw ~ |}b/X{/im_save save | imageprocarray ~ get/s ~ ,

| L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring

~ string |/bpc ~ |/ih ~ |/iw ~ |}b/Z{im_save restore}b/Y{sgco myimagedict @ `

/Width iw |/Height ih |/Decode polarity |/ImageMatrix[iw 0 0 ih 0 0]|

/DataSource s |/BitsPerComponent 1 |/Interpolate smoothflag | E imagemask}b



L2? not g{/setup2asciiproc{[/Level2ImagesError , aload ! T FatalErrorIf}b

/setup2binaryproc/setup2asciiproc , |/L2Polarity{}|/Y{sgco iw ih polarity[iw 0

0 ih 0 0]s imagemask}b}e



L2? not g{/testsystemdict{where{systemdict eq{T}{F}?}{F}?}b/c 1 |/colorimage

where{! T}{F}?{/c 0 statusdict `/processcolors where{! ! processcolors}{

/deviceinfo where{! deviceinfo/Colors known{!{deviceinfo/Colors get}}if}if}? E

| c 0 ne{/colorimage testsystemdict/setcolortransfer testsystemdict

/currentcolortransfer testsystemdict/currentcmykcolor testsystemdict and and

and not{/c 0 |}if}if}if c @ 1 ne ~ @ 3 ne ~ 4 ne and and{/c 0 |}if c 1 eq g{

/expandbw{expandfactor mul round cvi bwclut ~ get 255 V}b/doclutimage{!/bwclut

~ | bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/expandfactor ~ |[/expandbw ,/exec , @

currenttransfer ~]cvx bind settransfer iw ih bpc[iw 0 0 ih 0 0]s image}b}e c @

3 eq ~ 4 eq or g{/nullproc{{}}|/concatutil{/exec , 7 -1 $/exec ,}b/defsubclut{

1 add getinterval |}b/spconcattransfer{/Dclut ~ |/Cclut ~ |/Bclut ~ |/Aclut ~

|/ncompute ~ , | currentcolortransfer[{Aclut ncompute}concatutil]cvx[{Bclut

ncompute}concatutil]cvx[{Cclut ncompute}concatutil]cvx[{Dclut ncompute}

concatutil]cvx setcolortransfer}b/setuprgbcluts{/bit3x rgbclut length 3 sub |

/bit1x bit3x 3 idiv |/rclut rgbclut |/gclut rclut 1 bit3x defsubclut/bclut

rclut 2 bit3x defsubclut}b}e c 3 eq g{/3compute{~ bit3x mul round cvi get 255

V}b/doclutimage{/rgbclut ~ | ! setuprgbcluts/3compute rclut gclut bclut @

spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @]cvx nullproc nullproc

T 3 colorimage}b}e c 4 eq g{/ftoint{1 ~ sub 255 mul round cvi}b/stuffclut{

cmykindex 3 -1 $ put}b/4compute{~ bit4x mul round cvi get 255 V}b

/invalidcolortable? T |/computecmykclut{setuprgbcluts/bit4x rgbclut length 3

idiv 4 mul 4 sub |/cmykclut bit4x 4 add string |/cclut cmykclut |/mclut cclut

1 bit4x defsubclut/yclut cclut 2 bit4x defsubclut/kclut cclut 3 bit4x

defsubclut/cmykindex 0 | 0 1 bit1x{@/cmykindex ~ bit1x ~ sub 4 mul | 3 mul @

rclut ~ get 255 V ~ @ gclut ~ get 255 V ~ bclut ~ get 255 V setrgbcolor

currentcmykcolor ftoint kclut stuffclut ftoint yclut stuffclut ftoint mclut

stuffclut ftoint cclut stuffclut}for}b/doclutimage{/rgbclut ~ | !

invalidcolortable?{computecmykclut}if/4compute cclut mclut yclut kclut

spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @ @]cvx nullproc

nullproc nullproc T 4 colorimage}b}e c 0 eq g{/a{3 mul 3 getinterval

putinterval ~ 3 add ~ 3 copy}b/8lookup/a , |/4lookup{/byte 1 ^ | -4 bitshift a

byte 15 and a}b/2lookup{/byte 1 ^ | -6 bitshift a byte -4 bitshift 3 and a

byte -2 bitshift 3 and a byte 3 and a}b/colorexpand{mystringexp 0 rgbclut 3

copy 7 -1 $/mylookup , forall ! ! ! ! !}b/createexpandstr{/mystringexp ~

mystring length mul string |}b/doclutimage{/rgbclut ~ | !/mylookup bpc 8 eq{3

createexpandstr/8lookup}{bpc 4 eq{6 createexpandstr/4lookup}{12

createexpandstr/2lookup}?}? , | iw ih bpc[iw 0 0 ih 0 0][s/exec ,/colorexpand

,/exec ,]cvx F 3 colorimage}b}e/colorimage where{! T}{F}? g{/do24image{iw ih 8

[iw 0 0 ih 0 0]s F 3 colorimage}b}DefIf_El{/rgbtogray{/str ~ |/len str length

|/smlen len 3 idiv |/rstr str |/gstr str 1 len 1 sub getinterval |/bstr str 2

len 2 sub getinterval | str @ 0 1 smlen 1 sub{@ 3 mul rstr 1 ^ get 0.3 mul

gstr 2 ^ get 0.59 mul add bstr 3 -1 $ get 0.11 mul add round cvi put @}for ! 0

smlen getinterval}b/do24image{iw ih 8[iw 0 0 ih 0 0][s/exec ,/rgbtogray ,/exec

,]cvx bind image}b}e/doNimage{bpc 24 eq{do24image}{iw ih bpc[iw 0 0 ih 0 0]s

image}?}b}e



L2? g{/doclutimage{/rgbclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[

/Indexed colspABC hival rgbclut]setcolorspace myimagedict @ `/Width iw |

/Height ih |/Decode[0 hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |

/BitsPerComponent bpc |/Interpolate smoothflag | E image}b/doCMYKclutimage{

/CMYKclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[/Indexed/DeviceCMYK

hival CMYKclut]setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0

hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent bpc |

/Interpolate smoothflag | E image}b/doNimage{bpc 24 eq{colspABC}{colspA}?

setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode bpc 24 eq{[0 1 0 1

0 1]}{[0 1]}? |/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent

bpc 24 eq{8}{bpc}? |/Interpolate smoothflag | E image}b/doCMYKimage{

/DeviceCMYK setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0 1 0

1 0 1 0 1]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent 8 |

/Interpolate smoothflag | E image}b}e



/GreNewFont{10 dict @ 3 1 $ | @ ` 4 1 $/FontType 3 |/FontMatrix ~ |/FontBBox ~

|/Encoding 256 array | 0 1 255{Encoding ~/.notdef put}for/CharProcs 257 dict |

CharProcs/.notdef{}put/Metrics 257 dict | Metrics/.notdef 3 -1 $ put/BuildChar

{/char ~ |/fontdict ~ |/charname fontdict/Encoding get char get | fontdict

/Metrics get charname get aload ! setcachedevice fontdict ` Encoding char get

CharProcs ~ get E exec}| E definefont !}|/AddChar{` Encoding 3 1 $ put

CharProcs 3 1 $ put Metrics 3 1 $ put E}|



/FEbuf 2 string |/FEglyph 3 string |/FE{(G00)FEglyph copy ! 1 ~{@ 16 lt{

/offset 2 store}{/offset 1 store}? @ 16 FEbuf cvrs FEglyph ~ offset ~

putinterval 1 ^ ~ FEglyph cvn put}for}bind |/Type1Hdr{11 dict `/FontName ~ |

/PaintType ~ |/FontType 1 |/FontMatrix[1 3 ^ V 0 0 1 6 ^ V 0 0]| !/Encoding

256 array 0 1 255{1 ^ ~/.notdef put}for 3 ^ 3 ^ FE | ! !/FontBBox{0 0 0 0}| &

E currentfile eexec}bind |


/pp 1 string |/ss 1 string |/rledecodebinary{/DC 0 |/BC 0 |{DC mystring length

ge{exit}if currentfile ss readstring ! 0 get/BC ~ | BC 127 le{/BC BC 1 add |

DC 1 DC BC add 1 sub{mystring ~ currentfile ss readstring ! 0 get put}for}{/BC

257 BC sub | currentfile ss readstring ! 0 get/pp ~ | DC 1 DC BC add 1 sub{

mystring ~ pp put}for}?/DC DC BC add |}loop mystring}b/rledecodeascii{/DC 0 |

/BC 0 |{DC mystring length ge{exit}if currentfile ss readhexstring ! 0 get/BC

~ | BC 127 le{/BC BC 1 add | DC 1 DC BC add 1 sub{mystring ~ currentfile ss

readhexstring ! 0 get put}for}{/BC 257 BC sub | currentfile ss readhexstring !

0 get/pp ~ | DC 1 DC BC add 1 sub{mystring ~ pp put}for}?/DC DC BC add |}loop

mystring}b/setup1asciidecodeproc{[/rledecodeascii cvx]cvx bind}b

/setup1binarydecodeproc{[/rledecodebinary cvx]cvx bind}b


userdict/Pscript_Win_Compat 13 dict dup begin/bd{bind def}bind def/ld{load def

}bd/CB{pop pop pop pop}bind def/B{pop pop pop pop}bind def/$x matrix def/SS{

/pagesave save def}bind def/RS{/pagesave where{pop pagesave restore}{$x matrix

invertmatrix concat}ifelse}bind def/ANSIVec[0/grave 1/acute 2/circumflex 3

/tilde 4/macron 5/breve 6/dotaccent 7/dieresis 8/ring 9/cedilla 10

/hungarumlaut 11/ogonek 12/caron 13/dotlessi 39/quotesingle 96/grave 124/bar

130/quotesinglbase 131/florin 132/quotedblbase 133/ellipsis 134/dagger 135

/daggerdbl 136/circumflex 137/perthousand 138/Scaron 139/guilsinglleft 140/OE

145/quoteleft 146/quoteright 147/quotedblleft 148/quotedblright 149/bullet 150

/endash 151/emdash 152/tilde 153/trademark 154/scaron 155/guilsinglright 156

/oe 159/Ydieresis 160/space 161/exclamdown 164/currency 165/yen 166/brokenbar

167/section 168/dieresis 169/copyright 170/ordfeminine 171/guillemotleft 172

/logicalnot 173/hyphen 174/registered 175/macron 176/degree 177/plusminus 178

/twosuperior 179/threesuperior 180/acute 181/mu 182/paragraph 183

/periodcentered 184/cedilla 185/onesuperior 186/ordmasculine 187

/guillemotright 188/onequarter 189/onehalf 190/threequarters 191/questiondown

192/Agrave 193/Aacute 194/Acircumflex 195/Atilde 196/Adieresis 197/Aring 198

/AE 199/Ccedilla 200/Egrave 201/Eacute 202/Ecircumflex 203/Edieresis 204

/Igrave 205/Iacute 206/Icircumflex 207/Idieresis 208/Eth 209/Ntilde 210/Ograve

211/Oacute 212/Ocircumflex 213/Otilde 214/Odieresis 215/multiply 216/Oslash

217/Ugrave 218/Uacute 219/Ucircumflex 220/Udieresis 221/Yacute 222/Thorn 223

/germandbls 224/agrave 225/aacute 226/acircumflex 227/atilde 228/adieresis 229

/aring 230/ae 231/ccedilla 232/egrave 233/eacute 234/ecircumflex 235/edieresis

236/igrave 237/iacute 238/icircumflex 239/idieresis 240/eth 241/ntilde 242

/ograve 243/oacute 244/ocircumflex 245/otilde 246/odieresis 247/divide 248

/oslash 249/ugrave 250/uacute 251/ucircumflex 252/udieresis 253/yacute 254

/thorn 255/ydieresis]def currentdict{dup type/operatortype eq{[exch]cvx def}{

pop pop}ifelse}forall/initialize{currentdict exch begin begin}bind def

/terminate{/@FL where not{pop end end}{pop}ifelse}bind def/suspend/terminate

load def/resume/initialize load def/M/moveto load def end put/Courier findfont

10 scalefont setfont


end /ProcSet defineresource pop






Pscript_Win_Compat dup /initialize get exec

[ 0 1.000 -1.000 0 0 0 ] false /Pscript_Win_Driver /ProcSet findresource dup /initialize get exec





/mysetup [ 0.240 0 0 -0.240 7.920 592.800 ] | 






userdict begin /pagesave save def end mysetup concat colspRefresh : 1.000 1.000 1.000 sco 0 0 2550 3300 rf ; 






116 70 N M 1 1 rr 

116 70 N M 3000 2250 rr : 1.000 1.000 1.000 sco O ; 

116 70 N M 1 1 rr 

116 70 N M 1 1 rr 

134 87 N M 2960 2172 rr 11 Lw 0 Lc 0 Lj solid 0 0 0 sco K 

455 462 N M 2600 1570 rr : 1.000 0.800 0.600 sco O ; 

455 462 N M 2600 0 - 4 Lw 1 Lc 1 Lj solid 0 0 0 sco K 

3055 462 N M 0 1570 - 0 0 0 sco K 

3055 2032 N M -2600 0 - 0 0 0 sco K 

455 2032 N M 0 -1570 - 0 0 0 sco K 

455 1963 N M 40 54 rr : 1.000 1.000 0 sco O ; 0 Lc 0 Lj 0 0 0 sco K 

455 1790 N M 54 54 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

455 1613 N M 105 54 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

455 1440 N M 115 54 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

455 1267 N M 202 54 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

455 1090 N M 296 54 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

455 917 N M 411 54 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

455 744 N M 461 54 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

455 567 N M 1229 54 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

455 1877 N M 65 57 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

455 1703 N M 97 54 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

455 1527 N M 151 57 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

455 1353 N M 155 58 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

455 1180 N M 393 54 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

455 1003 N M 440 58 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

455 830 N M 505 58 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

455 657 N M 808 54 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

455 480 N M 2351 58 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

455 462 N M 0 1570 - 1 Lc 1 Lj 0 0 0 sco K 

433 2032 N M 22 0 - 0 0 0 sco K 

433 1858 N M 22 0 - 0 0 0 sco K 

433 1682 N M 22 0 - 0 0 0 sco K 

433 1509 N M 22 0 - 0 0 0 sco K 

433 1335 N M 22 0 - 0 0 0 sco K 

433 1159 N M 22 0 - 0 0 0 sco K 

433 985 N M 22 0 - 0 0 0 sco K 

433 812 N M 22 0 - 0 0 0 sco K 

433 635 N M 22 0 - 0 0 0 sco K 

433 462 N M 22 0 - 0 0 0 sco K : 560 170 2116 150 rc 0.502 0 0 sco %%IncludeFont: Helvetica-Bold

(F0) cvn

0.931 

 (Helvetica-Bold) cvn /Type1 

T 

(Helvetica-Bold) cvn

mF 

(F0_130) cvn

F0

130 

xF 

F0_130

Ji 

581 170 M 

-3.290 0 (M)A 

-0.710 0 (E)A 

3.570 0 (T)A 

-4.140 0 (I)A 

0.290 0 (S)A 

1.060 0 (')A 

3.140 0 32 -3.280 0 (s )D 

0.290 0 (P)A 

2.720 0 (a)A 

0.430 0 (r)A 

-0.290 0 (t)A 

-4.140 0 (i)A 

0.710 0 (t)A 

-4.140 0 (i)A 

0.570 0 (o)A 

-4.430 0 (n)A 

-3.140 0 (i)A 

-4.430 0 (n)A 

-0.710 0 32 0.570 0 (g )D 

-0.710 0 (P)A 

-0.280 0 (e)A 

0.430 0 (r)A 

3.710 0 (f)A 

-0.430 0 (o)A 

0.430 0 (r)A 

3.430 0 (m)A 

2.720 0 (a)A 

-3.430 0 (n)A 

0.140 0 32 -0.280 0 (ce )D 

; : 498 1959 188 55 rc 0 0 0 sco (F0_47) cvn

F0

47 

xF 

F0_47

Ji 

509 1959 M 

-1.132 0 (1)A 

1.934 0 (.)A 

-1.132 0 (57)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 513 1786 187 55 rc 0 0 0 sco F0_47

Ji 

523 1786 M 

-1.132 0 (2)A 

1.934 0 (.)A 

-1.132 0 (10)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 563 1610 188 55 rc 0 0 0 sco F0_47

Ji 

574 1610 M 

-1.132 0 (4)A 

1.934 0 (.)A 

-1.132 0 (00)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 574 1436 187 55 rc 0 0 0 sco F0_47

Ji 

585 1436 M 

-1.132 0 (4)A 

1.934 0 (.)A 

-1.132 0 (42)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 660 1263 188 55 rc 0 0 0 sco F0_47

Ji 

671 1263 M 

-1.132 0 (7)A 

1.934 0 (.)A 

-1.132 0 (79)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 754 1086 213 55 rc 0 0 0 sco F0_47

Ji 

765 1086 M 

-1.132 0 (11)A 

1.934 0 (.)A 

-1.132 0 (32)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 870 913 212 55 rc 0 0 0 sco F0_47

Ji 

880 913 M 

-1.132 0 (15)A 

1.934 0 (.)A 

-1.132 0 (76)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 920 740 213 55 rc 0 0 0 sco F0_47

Ji 

931 740 M 

-1.132 0 (17)A 

1.934 0 (.)A 

-1.132 0 (81)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 1688 563 213 55 rc 0 0 0 sco F0_47

Ji 

1699 563 M 

-1.132 0 (47)A 

1.934 0 (.)A 

-1.132 0 (34)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 523 1873 188 55 rc 0 0 0 sco F0_47

Ji 

534 1873 M 

-1.132 0 (2)A 

1.934 0 (.)A 

-1.132 0 (55)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 556 1700 187 55 rc 0 0 0 sco F0_47

Ji 

567 1700 M 

-1.132 0 (3)A 

1.934 0 (.)A 

-1.132 0 (79)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 610 1527 187 55 rc 0 0 0 sco F0_47

Ji 

621 1527 M 

-1.132 0 (5)A 

1.934 0 (.)A 

-1.132 0 (87)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 614 1353 187 55 rc 0 0 0 sco F0_47

Ji 

624 1353 M 

-1.132 0 (5)A 

1.934 0 (.)A 

-1.132 0 (96)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 852 1177 212 55 rc 0 0 0 sco F0_47

Ji 

862 1177 M 

-1.132 0 (15)A 

1.934 0 (.)A 

-1.132 0 (12)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 898 1000 213 55 rc 0 0 0 sco F0_47

Ji 

909 1000 M 

-1.132 0 (16)A 

1.934 0 (.)A 

-1.132 0 (95)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 963 827 213 55 rc 0 0 0 sco F0_47

Ji 

974 827 M 

-1.132 0 (19)A 

1.934 0 (.)A 

-1.132 0 (40)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 1266 653 213 55 rc 0 0 0 sco F0_47

Ji 

1277 653 M 

-1.132 0 (31)A 

1.934 0 (.)A 

-1.132 0 (11)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 2809 480 213 55 rc 0 0 0 sco F0_47

Ji 

2820 480 M 

-1.132 0 (90)A 

1.934 0 (.)A 

-1.132 0 (45)A 

-4.132 0 (s)A 

2.868 0 (e)A 

-1.132 0 (c)A 

; : 116 1905 3000 77 rc 0 0 0 sco %%IncludeFont: Helvetica

(F3) cvn

0.899 

 (Helvetica) cvn /Type1 

T 

(Helvetica) cvn

mF 

(F3_69) cvn

F3

69 

xF 

F3_69

Ji 

188 1905 M 

0.977 0 (B)A 

-0.977 0 (r)A 

-2.364 0 (a)A 

1.500 0 (c)A 

-2.500 0 (k)A 

1.636 0 (2)A 

; : 116 1729 3000 77 rc 0 0 0 sco F3_69

Ji 

199 1729 M 

0.318 0 (O)A 

1.500 0 (c)A 

1.636 0 (e)A 

-2.364 0 (an)A 

; : 159 1555 2957 77 rc 0 0 0 sco F3_69

Ji 

282 1555 M 

1.636 0 (1)A 

0.636 0 (4)A 

1.636 0 (4)A 

; : 116 1382 3000 77 rc 0 0 0 sco F3_69

Ji 

181 1382 M 

-3.477 0 (M)A 

1.636 0 (d)A 

-2.364 0 (ua)A 

-1.318 0 (l)A 

1.636 0 (1)A 

; : 144 1205 2972 77 rc 0 0 0 sco F3_69

Ji 

267 1205 M 

0.841 0 (T)A 

-0.977 0 (r)A 

1.636 0 (o)A 

-1.318 0 (ll)A 

; : 137 1032 2979 77 rc 0 0 0 sco F3_69

Ji 

260 1032 M 

0.977 0 (A)A 

-2.364 0 (u)A 

-1.182 0 (t)A 

1.636 0 (o)A 

; : 116 859 3000 77 rc 0 0 0 sco F3_69

Ji 

181 859 M 

-3.477 0 (M)A 

1.636 0 (d)A 

-2.364 0 (ua)A 

-1.318 0 (l)A 

1.636 0 (2)A 

; : 177 682 2939 77 rc 0 0 0 sco F3_69

Ji 

300 682 M 

0.977 0 (B)A 

-1.318 0 (i)A 

1.636 0 (g)A 

; : 116 509 3000 77 rc 0 0 0 sco F3_69

Ji 

181 509 M 

-3.477 0 (M)A 

1.636 0 (d)A 

-2.364 0 (ua)A 

-1.318 0 (l)A 

1.636 0 (3)A 

; 

729 2075 N M 2044 133 rr : 1.000 1.000 1.000 sco O ; 0 Lc 0 Lj 0 0 0 sco K 

758 2118 N M 54 54 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K : 729 2097 2048 100 rc 0 0 0 sco (F0_87) cvn

F0

87 

xF 

F0_87

Ji 

837 2097 M 

3.529 0 (M)A 

0.814 0 (I)A 

-0.029 0 (P)A 

2.843 0 32 -1.029 0 (S )D 

-1.814 0 (R)A 

-1.372 0 (100)A 

-2.372 0 (0)A 

-1.372 0 (0)A 

-1.825 0 (@)A 

-1.372 0 (200)A 

3.529 0 (M)A 

-1.814 0 (H)A 

-0.500 0 (z)A 

; 

1818 2118 N M 54 54 rr : 0 0 1.000 sco O ; 0 0 0 sco K : 1789 2097 988 100 rc 0 0 0 sco F0_87

Ji 

1897 2097 M 

0.814 0 (I)A 

0.843 0 (n)A 

0.029 0 (t)A 

-1.372 0 (e)A 

1.000 0 32 0.814 0 (l )D 

-1.029 0 (P)A 

-0.029 0 (P)A 

-1.814 0 (R)A 

-2.686 0 (O)A 

-1.825 0 (@)A 

-1.372 0 (200)A 

2.529 0 (M)A 

-0.814 0 (H)A 

-0.500 0 (z)A 

; 

1721 889 N M 350 42 rr : 0.502 0 0 sco O ; 

1721 931 N M 350 69 rr : 0.502 0 0 sco O ; 

1721 1000 N M 350 43 rr : 0.502 0 0 sco O ; 

2071 889 N M 430 77 rr : 0.502 0 0 sco O ; : 1697 889 1319 1131 rc 1.000 1.000 1.000 sco %%IncludeFont: Helvetica-BoldOblique

(F6) cvn

0.909 

 (Helvetica-BoldOblique) cvn /Type1 

T 

(Helvetica-BoldOblique) cvn

mF 

(F6_66) cvn

F6

66 

xF 

F6_66

Ji 

2121 891 M 

0.348 0 (N)A 

-0.326 0 (u)A 

-0.674 0 (m)A 

0.674 0 (b)A 

-0.696 0 (e)A 

-0.674 0 32 0.326 0 (r )D 

-0.326 0 (o)A 

0.022 0 (f)A 

; 

2071 966 N M 430 77 rr : 0.502 0 0 sco O ; : 1697 889 1319 1131 rc 1.000 1.000 1.000 sco F6_66

Ji 

2159 967 M 

-0.022 0 (V)A 

-0.696 0 (e)A 

-0.674 0 (r)A 

0.022 0 (t)A 

0.652 0 (i)A 

0.304 0 (c)A 

-0.696 0 (e)A 

0.304 0 (s)A 

; 

2501 889 N M 431 77 rr : 0.502 0 0 sco O ; : 1697 889 1319 1131 rc 1.000 1.000 1.000 sco F6_66

Ji 

2551 891 M 

0.348 0 (N)A 

-0.326 0 (u)A 

-0.674 0 (m)A 

0.674 0 (b)A 

-0.696 0 (e)A 

-0.674 0 32 0.326 0 (r )D 

-0.326 0 (o)A 

0.022 0 (f)A 

; 

2501 966 N M 431 77 rr : 0.502 0 0 sco O ; : 1697 889 1319 1131 rc 1.000 1.000 1.000 sco F6_66

Ji 

2618 967 M 

-0.022 0 (E)A 

-0.326 0 (dg)A 

0.304 0 (e)A 

-0.696 0 (s)A 

; 

1721 1047 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1063 N M 350 68 rr : 1.000 1.000 0.800 sco O ; : 1697 889 1319 1131 rc 0.004 0 0 sco (F0_60) cvn

F0

60 

xF 

F0_60

Ji 

1738 1061 M 

0.020 0 (M)A 

-0.660 0 (d)A 

0.340 0 (u)A 

-0.360 0 (a)A 

-0.680 0 (l)A 

-0.360 0 (3)A 

; 

1721 1131 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1047 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1063 N M 430 68 rr : 1.000 1.000 0.800 sco O ; : 2071 1043 430 88 rc 0.004 0 0 sco (F3_60) cvn

F3

60 

xF 

F3_60

Ji 

2219 1065 M 

-0.360 0 (4)A 

0.320 0 (,)A 

-0.360 0 (039)A 

-0.680 0 (,)A 

0.640 0 (1)A 

-0.360 0 (60)A 

; 

2071 1131 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1047 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1063 N M 431 68 rr : 1.000 1.000 0.800 sco O ; : 2501 1043 431 88 rc 0.004 0 0 sco F3_60

Ji 

2649 1065 M 

-0.360 0 (8)A 

0.320 0 (,)A 

-0.360 0 (016)A 

-0.680 0 (,)A 

0.640 0 (8)A 

-0.360 0 (48)A 

; 

2501 1131 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1043 N M 350 4 rr : 0 0 0 sco O ; : 1697 889 1319 1131 rc 

1721 1043 N M 350 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2071 1043 N M 4 4 rr : 0 0 0 sco O ; : 1697 889 1319 1131 rc 

2071 1043 N M 4 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; : 1697 889 1319 1131 rc 

2071 1043 N M 0 4 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2075 1043 N M 426 4 rr : 0 0 0 sco O ; : 1697 889 1319 1131 rc 

2075 1043 N M 426 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2501 1043 N M 5 4 rr : 0 0 0 sco O ; : 1697 889 1319 1131 rc 

2501 1043 N M 5 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; : 1697 889 1319 1131 rc 

2501 1043 N M 0 4 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2506 1043 N M 426 4 rr : 0 0 0 sco O ; : 1697 889 1319 1131 rc 

2506 1043 N M 426 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

1721 1147 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1163 N M 350 68 rr : 1.000 1.000 0.800 sco O ; : 1697 889 1319 1131 rc 0.004 0 0 sco F0_60

Ji 

1738 1161 M 

-0.320 0 (B)A 

-0.680 0 (i)A 

0.340 0 (g)A 

; 

1721 1231 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1147 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1163 N M 430 68 rr : 1.000 1.000 0.800 sco O ; : 2071 1147 430 84 rc 0.004 0 0 sco F3_60

Ji 

2269 1165 M 

-0.360 0 (2)A 

0.640 0 (9)A 

-0.360 0 (5)A 

-0.680 0 (,)A 

-0.360 0 (433)A 

; 

2071 1231 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1147 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1163 N M 431 68 rr : 1.000 1.000 0.800 sco O ; : 2501 1147 431 84 rc 0.004 0 0 sco F3_60

Ji 

2649 1165 M 

-0.360 0 (7)A 

0.320 0 (,)A 

-0.360 0 (953)A 

-0.680 0 (,)A 

0.640 0 (4)A 

-0.360 0 (53)A 

; 

2501 1231 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1247 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1263 N M 350 68 rr : 1.000 1.000 0.800 sco O ; : 1697 889 1319 1131 rc 0.004 0 0 sco F0_60

Ji 

1738 1261 M 

0.020 0 (M)A 

-0.660 0 (d)A 

0.340 0 (u)A 

-0.360 0 (a)A 

-0.680 0 (l)A 

-0.360 0 (2)A 

; 

1721 1331 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1247 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1263 N M 430 68 rr : 1.000 1.000 0.800 sco O ; : 2071 1247 430 84 rc 0.004 0 0 sco F3_60

Ji 

2219 1265 M 

-0.360 0 (1)A 

0.320 0 (,)A 

-0.360 0 (017)A 

-0.680 0 (,)A 

0.640 0 (2)A 

-0.360 0 (53)A 

; 

2071 1331 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1247 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1263 N M 431 68 rr : 1.000 1.000 0.800 sco O ; : 2501 1247 431 84 rc 0.004 0 0 sco F3_60

Ji 

2649 1265 M 

-0.360 0 (2)A 

0.320 0 (,)A 

-0.360 0 (015)A 

-0.680 0 (,)A 

0.640 0 (7)A 

-0.360 0 (14)A 

; 

2501 1331 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1347 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1363 N M 350 68 rr : 1.000 1.000 0.800 sco O ; : 1697 889 1319 1131 rc 0.004 0 0 sco F0_60

Ji 

1738 1361 M 

-1.320 0 (A)A 

-0.660 0 (u)A 

0.020 0 (t)A 

0.340 0 (o)A 

; 

1721 1431 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1347 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1363 N M 430 68 rr : 1.000 1.000 0.800 sco O ; : 2071 1347 430 84 rc 0.004 0 0 sco F3_60

Ji 

2269 1365 M 

-0.360 0 (4)A 

0.640 0 (4)A 

-0.360 0 (8)A 

-0.680 0 (,)A 

-0.360 0 (695)A 

; 

2071 1431 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1347 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1363 N M 431 68 rr : 1.000 1.000 0.800 sco O ; : 2501 1347 431 84 rc 0.004 0 0 sco F3_60

Ji 

2649 1365 M 

-0.360 0 (3)A 

0.320 0 (,)A 

-0.360 0 (314)A 

-0.680 0 (,)A 

0.640 0 (6)A 

-0.360 0 (11)A 

; 

2501 1431 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1447 N M 350 15 rr : 1.000 1.000 0.800 sco O ; 

1721 1462 N M 350 69 rr : 1.000 1.000 0.800 sco O ; : 1697 889 1319 1131 rc 0.004 0 0 sco F0_60

Ji 

1738 1461 M 

-0.660 0 (T)A 

-0.340 0 (r)A 

0.340 0 (o)A 

-0.680 0 (l)A 

0.320 0 (l)A 

; 

1721 1531 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1447 N M 430 15 rr : 1.000 1.000 0.800 sco O ; 

2071 1462 N M 430 69 rr : 1.000 1.000 0.800 sco O ; : 2071 1447 430 84 rc 0.004 0 0 sco F3_60

Ji 

2269 1465 M 

-0.360 0 (2)A 

0.640 0 (1)A 

-0.360 0 (3)A 

-0.680 0 (,)A 

-0.360 0 (453)A 

; 

2071 1531 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1447 N M 431 15 rr : 1.000 1.000 0.800 sco O ; 

2501 1462 N M 431 69 rr : 1.000 1.000 0.800 sco O ; : 2501 1447 431 84 rc 0.004 0 0 sco F3_60

Ji 

2649 1465 M 

-0.360 0 (5)A 

0.320 0 (,)A 

-0.360 0 (885)A 

-0.680 0 (,)A 

0.640 0 (8)A 

-0.360 0 (29)A 

; 

2501 1531 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1547 N M 350 15 rr : 1.000 1.000 0.800 sco O ; 

1721 1562 N M 350 69 rr : 1.000 1.000 0.800 sco O ; : 1697 889 1319 1131 rc 0.004 0 0 sco F0_60

Ji 

1738 1561 M 

0.020 0 (M)A 

-0.660 0 (d)A 

0.340 0 (u)A 

-0.360 0 (a)A 

-0.680 0 (l)A 

-0.360 0 (1)A 

; 

1721 1631 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1547 N M 430 15 rr : 1.000 1.000 0.800 sco O ; 

2071 1562 N M 430 69 rr : 1.000 1.000 0.800 sco O ; : 2071 1547 430 84 rc 0.004 0 0 sco F3_60

Ji 

2269 1565 M 

-0.360 0 (2)A 

0.640 0 (5)A 

-0.360 0 (7)A 

-0.680 0 (,)A 

-0.360 0 (000)A 

; 

2071 1631 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1547 N M 431 15 rr : 1.000 1.000 0.800 sco O ; 

2501 1562 N M 431 69 rr : 1.000 1.000 0.800 sco O ; : 2501 1547 431 84 rc 0.004 0 0 sco F3_60

Ji 

2699 1565 M 

-0.360 0 (5)A 

0.640 0 (0)A 

-0.360 0 (5)A 

-0.680 0 (,)A 

-0.360 0 (048)A 

; 

2501 1631 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1647 N M 350 15 rr : 1.000 1.000 0.800 sco O ; 

1721 1662 N M 350 69 rr : 1.000 1.000 0.800 sco O ; : 1697 889 1319 1131 rc 0.004 0 0 sco F0_60

Ji 

1738 1661 M 

-0.360 0 (1)A 

0.640 0 (4)A 

-0.360 0 (4)A 

; 

1721 1731 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1647 N M 430 15 rr : 1.000 1.000 0.800 sco O ; 

2071 1662 N M 430 69 rr : 1.000 1.000 0.800 sco O ; : 2071 1647 430 84 rc 0.004 0 0 sco F3_60

Ji 

2269 1665 M 

-0.360 0 (1)A 

0.640 0 (4)A 

-0.360 0 (4)A 

-0.680 0 (,)A 

-0.360 0 (649)A 

; 

2071 1731 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1647 N M 431 15 rr : 1.000 1.000 0.800 sco O ; 

2501 1662 N M 431 69 rr : 1.000 1.000 0.800 sco O ; : 2501 1647 431 84 rc 0.004 0 0 sco F3_60

Ji 

2649 1665 M 

-0.360 0 (1)A 

0.320 0 (,)A 

-0.360 0 (074)A 

-0.680 0 (,)A 

0.640 0 (3)A 

-0.360 0 (93)A 

; 

2501 1731 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1747 N M 350 15 rr : 1.000 1.000 0.800 sco O ; 

1721 1762 N M 350 69 rr : 1.000 1.000 0.800 sco O ; : 1697 889 1319 1131 rc 0.004 0 0 sco F0_60

Ji 

1738 1761 M 

-0.680 0 (O)A 

-0.360 0 (ce)A 

0.640 0 (a)A 

-0.660 0 (n)A 

; 

1721 1831 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1747 N M 430 15 rr : 1.000 1.000 0.800 sco O ; 

2071 1762 N M 430 69 rr : 1.000 1.000 0.800 sco O ; : 2071 1747 430 84 rc 0.004 0 0 sco F3_60

Ji 

2269 1765 M 

-0.360 0 (1)A 

0.640 0 (4)A 

-0.360 0 (3)A 

-0.680 0 (,)A 

-0.360 0 (437)A 

; 

2071 1831 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1747 N M 431 15 rr : 1.000 1.000 0.800 sco O ; 

2501 1762 N M 431 69 rr : 1.000 1.000 0.800 sco O ; : 2501 1747 431 84 rc 0.004 0 0 sco F3_60

Ji 

2699 1765 M 

-0.360 0 (4)A 

0.640 0 (0)A 

-0.360 0 (9)A 

-0.680 0 (,)A 

-0.360 0 (593)A 

; 

2501 1831 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1847 N M 350 15 rr : 1.000 1.000 0.800 sco O ; 

1721 1862 N M 350 69 rr : 1.000 1.000 0.800 sco O ; : 1697 889 1319 1131 rc 0.004 0 0 sco F0_60

Ji 

1738 1861 M 

-0.320 0 (B)A 

-0.340 0 (r)A 

-0.360 0 (ack)A 

0.640 0 (2)A 

; 

1721 1931 N M 350 16 rr : 1.000 1.000 0.800 sco O ; 

2071 1847 N M 430 15 rr : 1.000 1.000 0.800 sco O ; 

2071 1862 N M 430 69 rr : 1.000 1.000 0.800 sco O ; : 2071 1847 430 84 rc 0.004 0 0 sco F3_60

Ji 

2302 1865 M 

-0.360 0 (6)A 

0.640 0 (2)A 

-0.680 0 (,)A 

-0.360 0 (631)A 

; 

2071 1931 N M 430 16 rr : 1.000 1.000 0.800 sco O ; 

2501 1847 N M 431 15 rr : 1.000 1.000 0.800 sco O ; 

2501 1862 N M 431 69 rr : 1.000 1.000 0.800 sco O ; : 2501 1847 431 84 rc 0.004 0 0 sco F3_60

Ji 

2699 1865 M 

-0.360 0 (3)A 

0.640 0 (6)A 

-0.360 0 (6)A 

-0.680 0 (,)A 

-0.360 0 (559)A 

; 

2501 1931 N M 431 16 rr : 1.000 1.000 0.800 sco O ; 

1721 1947 N M 350 5 rr : 0 0 0 sco O ; : 1697 889 1319 1131 rc 

1721 1947 N M 350 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2071 1947 N M 4 5 rr : 0 0 0 sco O ; : 1697 889 1319 1131 rc 

2071 1947 N M 4 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; : 1697 889 1319 1131 rc 

2071 1947 N M 0 5 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2075 1947 N M 426 5 rr : 0 0 0 sco O ; : 1697 889 1319 1131 rc 

2075 1947 N M 426 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2501 1947 N M 5 5 rr : 0 0 0 sco O ; : 1697 889 1319 1131 rc 

2501 1947 N M 5 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; : 1697 889 1319 1131 rc 

2501 1947 N M 0 5 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2506 1947 N M 426 5 rr : 0 0 0 sco O ; : 1697 889 1319 1131 rc 

2506 1947 N M 426 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

LH 

pagesave restore







/Pscript_Win_Driver /ProcSet findresource dup /terminate get exec

Pscript_Win_Compat dup /terminate get exec


cleartomark
countdictstack exch sub { end } repeat
restore grestore
%
% End Imported PIC File: slide1.eps
%
% Polyline
%
% Begin Imported EPS File: slide2.eps
%
n gs
525 9750 tr
16.980000 -16.972921 sc
0 -517 tr
-39 -55 tr
sa
n 39 55 m 739 55 l 739 572 l 39 572 l cp clip
countdictstack
mark
/showpage {} def
% EPS file follows:














/defineresource where{pop}{userdict begin/defineresource{userdict/Resources 2

copy known{get begin}{15 dict dup begin put}ifelse exch readonly exch

currentdict 1 index known not{dup 30 dict def}if load 3 -1 roll 2 index put

end}bind readonly def/findresource{userdict/Resources get exch get exch get}

bind readonly def/resourceforall{pop pop pop pop}bind readonly def

/resourcestatus{userdict/Resources 2 copy known{get exch 2 copy known{get exch

known{0 -1 true}{pop pop false}ifelse}{pop pop pop false}ifelse}{pop pop false

}ifelse}bind readonly def end}ifelse



/Pscript_Win_Driver 200 dict dup begin


/FatalErrorIf{{initgraphics findfont exch scalefont setfont counttomark 3 div

cvi{moveto show}repeat showpage quit}{cleartomark}ifelse}bind def


/VM? {vmstatus exch sub exch pop gt { [

(This job requires more memory than is available in this printer.) 100 500

(Try one or more of the following, and then print again:) 100 485

(In the PostScript dialog box, click Optimize For Portability.) 115 470

(In the Device Options dialog box, make sure the Available Printer Memory is accurate.) 115 455

(Reduce the number of fonts in the document.) 115 440

(Print the document in parts.) 115 425

12 /Times-Roman showpage

(%%[ PrinterError: Low Printer VM ]%%) =

true FatalErrorIf}if} bind def


/|/def load def/,/load load |/~/exch , |/?/ifelse , |/!/pop , |/`/begin , |/^

/index , |/@/dup , |/+/translate , |/$/roll , |/U/userdict , |/M/moveto , |/-

/rlineto , |/&/currentdict , |/:/gsave , |/;/grestore , |/F/false , |/T/true ,

|/N/newpath , |/E/end , |/Ac/arc , |/An/arcn , |/A/ashow , |/D/awidthshow , |

/C/closepath , |/V/div , |/O/eofill , |/L/fill , |/I/lineto , |/-C/rcurveto ,

|/-M/rmoveto , |/+S/scale , |/Ji/setfont , |/Lc/setlinecap , |/Lj/setlinejoin

, |/Lw/setlinewidth , |/S/show , |/LH/showpage , |/K/stroke , |/W/widthshow ,

|/R/rotate , |/b{bind |}bind |/bd{bind |}bind |/xd{~ |}bd/ld{, |}bd/lw/Lw ld

/lc/Lc ld/lj/Lj ld/sg/setgray ld/L2? F/languagelevel where{! languagelevel 2

ge{! T}if}if |/g{@ not{U/DefIf_save save put}if U/DefIf_bool 2 ^ put}b

/DefIf_El{if U/DefIf_bool get not @{U/DefIf_save get restore}if}b/e{DefIf_El !

}b/self & |/reinitialize{[/TextInit/GraphInit/UtilsInit counttomark{@ where{

self eq}{F}?{cvx exec}{!}?}repeat cleartomark}b/initialize{`{/ADO_mxRot ~ |

/TextInitialised? F | reinitialize E}{U/Pscript_Win_Data 200 dict @ ` put

/ADO_mxRot ~ |/TextInitialised? F | reinitialize}?}b/terminate{!{& self eq{

exit}{E}?}loop E}b/suspend/terminate , |/resume{` Pscript_Win_Data `}b/snap{

transform 0.25 sub round 0.25 add ~ 0.25 sub round 0.25 add ~ itransform}b

/dsnap{dtransform round ~ round ~ idtransform}b<04>cvn{}|/setjn{{statusdict

/jobname known{statusdict/jobname 3 -1 $ put}if}stopped cleartomark}b/solid{[]

0 setdash}b/setdsh{0 setdash}b/colspRefresh{}b/rp{4 2 $ M 1 ^ 0 - 0 ~ - neg 0

-}b/rr{1 ^ 0 - 0 ~ - neg 0 - C}b



L2? not g{/rf{N rp L}b/fx{1 1 dtransform @ 0 ge{1 sub 1}{1 add -0.25}? 3 -1 $

@ 0 ge{1 sub 1}{1 add -0.25}? 3 1 $ 4 1 $ idtransform 4 -2 $ idtransform}b/BZ{

4 -2 $ snap + +S fx rf}b/rs{N rp C K}b/rc{N rp clip N}b/sg{setgray}b/sco{

setrgbcolor}b/sgco{{sg}{sco}?}b}e



L2? g{/colspA/DeviceGray |/colspABC/DeviceRGB |/setAorABC{{colspA}{colspABC}?

setcolorspace}b/rf/rectfill , |/fx{1 1 dtransform @ 0 ge{1 sub 0.5}{1 add -0.5

}? 3 -1 $ @ 0 ge{1 sub 0.5}{1 add -0.5}? 3 1 $ 4 1 $ idtransform 4 -2 $

idtransform}b/BZ{4 -2 $ snap + +S fx rf}b/rs/rectstroke , |/rc/rectclip , |/sg

{@ @ setcolor}b/sco{setcolor}b/colspRefresh{colspABC setcolorspace}b/sgco{{sg

}{sco}?}b/UtilsInit{F setglobal}b/definecolorrendering{/ColorRendering

defineresource !}b/findcolorrendering{@/ColorRendering resourcestatus{! !

/ColorRendering findresource T}{! F}?}b/selectcolorrendering{@/ColorRendering

resourcestatus{! !/ColorRendering}{!/DefaultColorRendering/ColorRendering}?

findresource setcolorrendering}b}e



/bullets{{/bullet}repeat}b/ANSIEncoding[/grave/acute/circumflex/tilde/macron

/breve/dotaccent/dieresis/ring/cedilla/hungarumlaut/ogonek/caron/dotlessi 18

bullets StandardEncoding 32 95 getinterval aload ! 3 bullets/quotesinglbase

/florin/quotedblbase/ellipsis/dagger/daggerdbl/circumflex/perthousand/Scaron

/guilsinglleft/OE 4 bullets/quoteleft/quoteright/quotedblleft/quotedblright

/bullet/endash/emdash/tilde/trademark/scaron/guilsinglright/oe 2 bullets

/Ydieresis/space/exclamdown/cent/sterling/currency/yen/brokenbar/section

/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/hyphen/registered

/macron/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph

/periodcentered/cedilla/onesuperior/ordmasculine/guillemotright/onequarter

/onehalf/threequarters/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis

/Aring/AE/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute

/Icircumflex/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis

/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls

/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute

/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde/ograve

/oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex

/udieresis/yacute/thorn/ydieresis]| ANSIEncoding @ 39/quotesingle put 96/grave

put/ANSIEncodingOld ANSIEncoding 256 array copy | ANSIEncodingOld @[138 153

154 169 172 174 177 178 179 181 185 188 189 190 208 215 221 222 240 247 253

254]{/bullet put @}forall 166/bar put 176/ring put



/TextInit{TextInitialised? not{/Pscript_Windows_Font & |/TextInitialised? T |

/fM[1 0 0 -1 0 0]|/mFM matrix |/iMat[1 0 0.212557 neg 1 0 0]|}if}b/xUP null |

/yUP null |/uW null |/xSP null |/ySP null |/sW null |/copyfont{1 ^ length add

dict `{1 ^/FID ne{|}{! !}?}forall & E}b/rF{3 copyfont @ `/Encoding

ANSIEncoding &/CharStrings known{CharStrings/Eth known not{! ANSIEncodingOld}

if}if | E}b/mF{findfont ~{@/Encoding get @ StandardEncoding eq{! T}{{

ISOLatin1Encoding}stopped{! F}{eq}?{T}{@ ` T 32 1 127{Encoding 1 ^ get

StandardEncoding 3 -1 $ get eq and}for E}?}?}{F}?{rF}{3 copyfont}? `

/OrigFontType ~ |/OrigFontName ~ | & E 2 ^ ~ definefont fM 5 4 -1 $ put fM 4 0

put fM makefont Pscript_Windows_Font 3 1 $ put}b/xF{scalefont

Pscript_Windows_Font 3 1 $ put}b/xMF{mFM astore makefont Pscript_Windows_Font

3 1 $ put}b/xF2/scalefont , |/xMF2{mFM astore makefont}b/sLT{: Lw -M

currentpoint snap M 0 - 0 Lc K ;}b/sSU{N/uW ~ |/yUP ~ |/xUP ~ |}b/sU{xUP yUP

uW sLT}b/sST{N/sW ~ |/ySP ~ |/xSP ~ |}b/sT{xSP ySP sW sLT}b/sR{: + R 0 0 M}b

/sRxy{: matrix astore concat 0 0 M}b/eR/; , |



/mBF{@ 4 copyfont `/FontName ~ |/OrigFontType ~ |/OrigFontName ~ | 0

FontMatrix idtransform ! &/PaintType known{PaintType 0 eq{/PaintType 2 |

/StrokeWidth ~ |}{PaintType 1 eq PaintType 2 eq or PaintType 3 eq or &

/StrokeWidth known and{StrokeWidth add/StrokeWidth ~ |}{!}?}?}{!}? @ & E

definefont Pscript_Windows_Font 3 1 $ put}b/xBF{Pscript_Windows_Font ` 1 ^

/FontName get 1 ^ scalefont 3 1 $ scalefont 2 copy ~ | ~ ! | E}b/xMBF{mFM

astore Pscript_Windows_Font ` 1 ^/FontName get 1 ^ makefont 3 1 $ makefont 2

copy ~ | ~ ! | E}b/xBF2{/sB0 ~ mBF/sB1 sB0 3 -1 $ xBF sB1}b/xMBF2{/sB0 ~ mBF

mFM astore/sB1 sB0 3 -1 $ xMBF sB1}b/sB{: Pscript_Windows_Font currentfont get

Ji @ S ; S}b/asB{: Pscript_Windows_Font currentfont get Ji 3 copy A ; A}b/wsB{

: Pscript_Windows_Font currentfont get Ji 4 copy W ; W}b/awsB{:

Pscript_Windows_Font currentfont get Ji 6 copy D ; D}b/sBT3{: @ S ; 1 1 -M S}b

/asBT3{: 3 copy A ; 1 1 -M A}b/wsBT3{: 4 copy W ; 1 1 -M W}b/awsBT3{: 6 copy D

; 1 1 -M D}b/mIF{iMat 4 3 -1 $ put 2 copyfont `/OrigFontType ~ |/OrigFontName

~ | @ & E definefont iMat makefont Pscript_Windows_Font 3 1 $ put}b



/SavedCTM null |/CTMsave{/SavedCTM SavedCTM currentmatrix |}b/CTMrestore{

SavedCTM setmatrix}b/mp null |/ADO_mxRot null |/GDIHMatrix null |

/GDIHPatternDict 22 dict | GDIHPatternDict `/PatternType 1 |/PaintType 2 |

/Reps L2?{1}{5}? |/XStep 8 Reps mul |/YStep XStep |/BBox[0 0 XStep YStep]|

/TilingType 1 |/PaintProc{` 1 Lw[]0 setdash PaintData , exec E}b/FGnd null |

/BGnd null |/HS_Horizontal{horiz}b/HS_Vertical{vert}b/HS_FDiagonal{fdiag}b

/HS_BDiagonal{biag}b/HS_Cross{horiz vert}b/HS_DiagCross{fdiag biag}b/MaxXYStep

XStep YStep gt{XStep}{YStep}? |/horiz{Reps{0 4 M XStep 0 - 0 8 +}repeat 0 -8

Reps mul + K}b/vert{Reps{4 0 M 0 YStep - 8 0 +}repeat 0 -8 Reps mul + K}b/biag

{Reps{0 0 M MaxXYStep @ - 0 YStep neg M MaxXYStep @ - 0 8 +}repeat 0 -8 Reps

mul + 0 YStep M 8 8 - K}b/fdiag{Reps{0 0 M MaxXYStep @ neg - 0 YStep M

MaxXYStep @ neg - 0 8 +}repeat 0 -8 Reps mul + MaxXYStep @ M 8 -8 - K}b E

/makehatch{GDIHPatternDict/PaintData 3 -1 $ put CTMsave GDIHMatrix setmatrix

GDIHPatternDict matrix mp CTMrestore ~ U ~ 2 ^ put}b/h0{/h0/HS_Horizontal

makehatch}b/h1{/h1/HS_Vertical makehatch}b/h2{/h2/HS_FDiagonal makehatch}b/h3{

/h3/HS_BDiagonal makehatch}b/h4{/h4/HS_Cross makehatch}b/h5{/h5/HS_DiagCross

makehatch}b/GDIBWPatternDict 17 dict @ `/PatternType 1 |/PaintType L2?{1}{2}?

|/RepsV L2?{1}{6}? |/RepsH L2?{1}{5}? |/BBox[0 0 RepsH 1]|/TilingType 1 |

/XStep 1 |/YStep 1 |/Height 8 RepsV mul |/Width 8 |/mx[Width 0 0 Height neg 0

Height]|/FGnd null |/BGnd null |/SetBGndFGnd L2?{{BGnd null ne{BGnd aload !

sgco BBox aload ! 2 ^ sub ~ 3 ^ sub ~ rf}if FGnd null ne{FGnd aload ! sgco}if}

}{{}}? b/PaintProc{` SetBGndFGnd RepsH{Width Height F mx PaintData imagemask

Width 0 +}repeat E}b E |/GDIBWPatternMx null |/pfprep{save 4 1 $

/PatternOfTheDay 4 1 $ GDIBWPatternDict `/PaintData ~ |/BGnd ~ |/FGnd ~ | E

CTMsave GDIBWPatternMx setmatrix GDIBWPatternDict matrix mp CTMrestore ~ !}b

/hrf null |/prf{pfprep ~ 6 1 $ 5 hrf restore}b/GraphInit{GDIHMatrix null eq{

/SavedCTM matrix | : ADO_mxRot concat 0 0 snap + : 0.48 @ GDIHPatternDict `

YStep mul ~ XStep mul ~ dsnap YStep V ~ XStep V ~ E +S/GDIHMatrix matrix

currentmatrix readonly | ; : 0.24 -0.24 +S GDIBWPatternDict ` Width Height E

dsnap +S/GDIBWPatternMx matrix currentmatrix readonly | ; ;}if}b/cirp{360 0 An

C}b/ellp{CTMsave + +S 0.5 0 M 0 0 0.5 360 0 An C CTMrestore}b/rrp{/rad ~ |/y2

~ |/x2 ~ |/y1 ~ |/x1 ~ | x2 x1 add 2 V y1 M x1 y1 x1 y2 rad arct x1 y2 x2 y2

rad arct x2 y2 x2 y1 rad arct x2 y1 x1 y1 rad arct C}b/RRp{CTMsave + +S/dyS ~

|/dxS ~ | dxS 2 V 0 M 0 0 0 dyS 0.5 arct 0 dyS dxS dyS 0.5 arct dxS dyS dxS 0

0.5 arct dxS 0 0 0 0.5 arct C CTMrestore}b



L2? not g{/arct{arcto ! ! ! !}b/GDIpattfill{@ ` BGnd null ne PaintType 2 eq

and{: BGnd aload ! sgco fEOFill{O}{L}? ; FGnd aload ! U/fGray 2 ^ put{2}{4}?

-1 $}if E @ patterncalc : 4 ^/PaintType get 2 eq{fGray{6 -1 $ sg}{8 -3 $ sco}?

}if fEOFill{eoclip}{clip}? N patternfill ; N}b/hrf{/fGray 1 ^ 6 eq | -4 $ N rp

C/fEOFill F | GDIpattfill}b/hfMain{/fEOFill ~ |/fGray ~ | GDIpattfill}b/hf{T

hfMain}b/hfW{F hfMain}b/hs{currentpoint strokepath M hfW}b/pfMain{/fEOFill ~ |

pfprep GDIpattfill restore N}b/pf{T pfMain}b/pfW{F pfMain}b/ps{currentpoint

strokepath M pfW}b/mpstr 1 string |/mp{~ @ length 12 add dict copy `

/PatternCTM matrix currentmatrix |/PatternMatrix ~ |/PatWidth XStep mpstr

length mul |/PatHeight YStep |/FontType 3 |/Encoding 256 array | 3 string 0 1

255{Encoding ~ @ 3 ^ cvs cvn put}for !/FontMatrix matrix |/FontBBox BBox |

/BuildChar{! @ ` XStep 0 FontBBox aload ! setcachedevice/PaintProc , E : exec

;}b & E ~ @ 3 -1 $ definefont}b/patterncalc{` : PatternCTM setmatrix

PatternMatrix concat BBox aload ! ! ! + pathbbox ; PatHeight V ceiling 4 1 $

PatWidth V ceiling 4 1 $ PatHeight V floor 4 1 $ PatWidth V floor 4 1 $ 2 ^

sub cvi abs ~ 3 ^ sub cvi abs ~ 4 2 $ PatHeight mul ~ PatWidth mul ~ E}b

/patternfill{5 -1 $ @ ` Ji PatternCTM setmatrix PatternMatrix concat 0 2 ^ 2 ^

M 0 1 mpstr length 1 sub{1 ^ mpstr 3 1 $ put}for ! 2 ^{currentpoint 5 ^{mpstr

S}repeat YStep add M}repeat ! ! ! ! E}b}e



L2? g{/mp/makepattern , |/hrf{6 eq setAorABC setpattern rectfill}b/hf{

setAorABC setpattern O}b/hfW{setAorABC setpattern L}b/hs{setAorABC setpattern

K}b/pf{pfprep setpattern O restore N}b/pfW{pfprep setpattern L restore N}b/ps{

pfprep setpattern K restore N}b}e



/iw 0 |/ih 0 |/im_save 0 |/s 0 |/polarity 0 |/smoothflag 0 |/mystring 0 |/bpc

0 |/setup1asciiproc{[currentfile mystring/readhexstring cvx/! cvx]cvx bind}b

/setup1binaryproc{[currentfile mystring/readstring cvx/! cvx]cvx bind}b

/setup2asciiproc{currentfile/ASCII85Decode filter/RunLengthDecode filter}b

/setup2binaryproc{currentfile/RunLengthDecode filter}b/mycolorspace{colspABC}|

/myimagedict{/myimagedict 10 dict | myimagedict @ `/ImageType 1 |

/MultipleDataSource F | E}b/imageprocarray[/setup1binaryproc/setup1asciiproc

/setup2binaryproc/setup2asciiproc/setup1binarydecodeproc/setup1asciidecodeproc

]|/L2Polarity{{[1 0]}{[0 1]}?}b/Q{/im_save save | imageprocarray ~ get/s ~ , |

L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring ~

string |/bpc ~ |/ih ~ |/iw ~ |}b/X{/im_save save | imageprocarray ~ get/s ~ ,

| L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring

~ string |/bpc ~ |/ih ~ |/iw ~ |}b/Z{im_save restore}b/Y{sgco myimagedict @ `

/Width iw |/Height ih |/Decode polarity |/ImageMatrix[iw 0 0 ih 0 0]|

/DataSource s |/BitsPerComponent 1 |/Interpolate smoothflag | E imagemask}b



L2? not g{/setup2asciiproc{[/Level2ImagesError , aload ! T FatalErrorIf}b

/setup2binaryproc/setup2asciiproc , |/L2Polarity{}|/Y{sgco iw ih polarity[iw 0

0 ih 0 0]s imagemask}b}e



L2? not g{/testsystemdict{where{systemdict eq{T}{F}?}{F}?}b/c 1 |/colorimage

where{! T}{F}?{/c 0 statusdict `/processcolors where{! ! processcolors}{

/deviceinfo where{! deviceinfo/Colors known{!{deviceinfo/Colors get}}if}if}? E

| c 0 ne{/colorimage testsystemdict/setcolortransfer testsystemdict

/currentcolortransfer testsystemdict/currentcmykcolor testsystemdict and and

and not{/c 0 |}if}if}if c @ 1 ne ~ @ 3 ne ~ 4 ne and and{/c 0 |}if c 1 eq g{

/expandbw{expandfactor mul round cvi bwclut ~ get 255 V}b/doclutimage{!/bwclut

~ | bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/expandfactor ~ |[/expandbw ,/exec , @

currenttransfer ~]cvx bind settransfer iw ih bpc[iw 0 0 ih 0 0]s image}b}e c @

3 eq ~ 4 eq or g{/nullproc{{}}|/concatutil{/exec , 7 -1 $/exec ,}b/defsubclut{

1 add getinterval |}b/spconcattransfer{/Dclut ~ |/Cclut ~ |/Bclut ~ |/Aclut ~

|/ncompute ~ , | currentcolortransfer[{Aclut ncompute}concatutil]cvx[{Bclut

ncompute}concatutil]cvx[{Cclut ncompute}concatutil]cvx[{Dclut ncompute}

concatutil]cvx setcolortransfer}b/setuprgbcluts{/bit3x rgbclut length 3 sub |

/bit1x bit3x 3 idiv |/rclut rgbclut |/gclut rclut 1 bit3x defsubclut/bclut

rclut 2 bit3x defsubclut}b}e c 3 eq g{/3compute{~ bit3x mul round cvi get 255

V}b/doclutimage{/rgbclut ~ | ! setuprgbcluts/3compute rclut gclut bclut @

spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @]cvx nullproc nullproc

T 3 colorimage}b}e c 4 eq g{/ftoint{1 ~ sub 255 mul round cvi}b/stuffclut{

cmykindex 3 -1 $ put}b/4compute{~ bit4x mul round cvi get 255 V}b

/invalidcolortable? T |/computecmykclut{setuprgbcluts/bit4x rgbclut length 3

idiv 4 mul 4 sub |/cmykclut bit4x 4 add string |/cclut cmykclut |/mclut cclut

1 bit4x defsubclut/yclut cclut 2 bit4x defsubclut/kclut cclut 3 bit4x

defsubclut/cmykindex 0 | 0 1 bit1x{@/cmykindex ~ bit1x ~ sub 4 mul | 3 mul @

rclut ~ get 255 V ~ @ gclut ~ get 255 V ~ bclut ~ get 255 V setrgbcolor

currentcmykcolor ftoint kclut stuffclut ftoint yclut stuffclut ftoint mclut

stuffclut ftoint cclut stuffclut}for}b/doclutimage{/rgbclut ~ | !

invalidcolortable?{computecmykclut}if/4compute cclut mclut yclut kclut

spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @ @]cvx nullproc

nullproc nullproc T 4 colorimage}b}e c 0 eq g{/a{3 mul 3 getinterval

putinterval ~ 3 add ~ 3 copy}b/8lookup/a , |/4lookup{/byte 1 ^ | -4 bitshift a

byte 15 and a}b/2lookup{/byte 1 ^ | -6 bitshift a byte -4 bitshift 3 and a

byte -2 bitshift 3 and a byte 3 and a}b/colorexpand{mystringexp 0 rgbclut 3

copy 7 -1 $/mylookup , forall ! ! ! ! !}b/createexpandstr{/mystringexp ~

mystring length mul string |}b/doclutimage{/rgbclut ~ | !/mylookup bpc 8 eq{3

createexpandstr/8lookup}{bpc 4 eq{6 createexpandstr/4lookup}{12

createexpandstr/2lookup}?}? , | iw ih bpc[iw 0 0 ih 0 0][s/exec ,/colorexpand

,/exec ,]cvx F 3 colorimage}b}e/colorimage where{! T}{F}? g{/do24image{iw ih 8

[iw 0 0 ih 0 0]s F 3 colorimage}b}DefIf_El{/rgbtogray{/str ~ |/len str length

|/smlen len 3 idiv |/rstr str |/gstr str 1 len 1 sub getinterval |/bstr str 2

len 2 sub getinterval | str @ 0 1 smlen 1 sub{@ 3 mul rstr 1 ^ get 0.3 mul

gstr 2 ^ get 0.59 mul add bstr 3 -1 $ get 0.11 mul add round cvi put @}for ! 0

smlen getinterval}b/do24image{iw ih 8[iw 0 0 ih 0 0][s/exec ,/rgbtogray ,/exec

,]cvx bind image}b}e/doNimage{bpc 24 eq{do24image}{iw ih bpc[iw 0 0 ih 0 0]s

image}?}b}e



L2? g{/doclutimage{/rgbclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[

/Indexed colspABC hival rgbclut]setcolorspace myimagedict @ `/Width iw |

/Height ih |/Decode[0 hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |

/BitsPerComponent bpc |/Interpolate smoothflag | E image}b/doCMYKclutimage{

/CMYKclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[/Indexed/DeviceCMYK

hival CMYKclut]setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0

hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent bpc |

/Interpolate smoothflag | E image}b/doNimage{bpc 24 eq{colspABC}{colspA}?

setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode bpc 24 eq{[0 1 0 1

0 1]}{[0 1]}? |/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent

bpc 24 eq{8}{bpc}? |/Interpolate smoothflag | E image}b/doCMYKimage{

/DeviceCMYK setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0 1 0

1 0 1 0 1]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent 8 |

/Interpolate smoothflag | E image}b}e



/GreNewFont{10 dict @ 3 1 $ | @ ` 4 1 $/FontType 3 |/FontMatrix ~ |/FontBBox ~

|/Encoding 256 array | 0 1 255{Encoding ~/.notdef put}for/CharProcs 257 dict |

CharProcs/.notdef{}put/Metrics 257 dict | Metrics/.notdef 3 -1 $ put/BuildChar

{/char ~ |/fontdict ~ |/charname fontdict/Encoding get char get | fontdict

/Metrics get charname get aload ! setcachedevice fontdict ` Encoding char get

CharProcs ~ get E exec}| E definefont !}|/AddChar{` Encoding 3 1 $ put

CharProcs 3 1 $ put Metrics 3 1 $ put E}|



/FEbuf 2 string |/FEglyph 3 string |/FE{(G00)FEglyph copy ! 1 ~{@ 16 lt{

/offset 2 store}{/offset 1 store}? @ 16 FEbuf cvrs FEglyph ~ offset ~

putinterval 1 ^ ~ FEglyph cvn put}for}bind |/Type1Hdr{11 dict `/FontName ~ |

/PaintType ~ |/FontType 1 |/FontMatrix[1 3 ^ V 0 0 1 6 ^ V 0 0]| !/Encoding

256 array 0 1 255{1 ^ ~/.notdef put}for 3 ^ 3 ^ FE | ! !/FontBBox{0 0 0 0}| &

E currentfile eexec}bind |


/pp 1 string |/ss 1 string |/rledecodebinary{/DC 0 |/BC 0 |{DC mystring length

ge{exit}if currentfile ss readstring ! 0 get/BC ~ | BC 127 le{/BC BC 1 add |

DC 1 DC BC add 1 sub{mystring ~ currentfile ss readstring ! 0 get put}for}{/BC

257 BC sub | currentfile ss readstring ! 0 get/pp ~ | DC 1 DC BC add 1 sub{

mystring ~ pp put}for}?/DC DC BC add |}loop mystring}b/rledecodeascii{/DC 0 |

/BC 0 |{DC mystring length ge{exit}if currentfile ss readhexstring ! 0 get/BC

~ | BC 127 le{/BC BC 1 add | DC 1 DC BC add 1 sub{mystring ~ currentfile ss

readhexstring ! 0 get put}for}{/BC 257 BC sub | currentfile ss readhexstring !

0 get/pp ~ | DC 1 DC BC add 1 sub{mystring ~ pp put}for}?/DC DC BC add |}loop

mystring}b/setup1asciidecodeproc{[/rledecodeascii cvx]cvx bind}b

/setup1binarydecodeproc{[/rledecodebinary cvx]cvx bind}b


userdict/Pscript_Win_Compat 13 dict dup begin/bd{bind def}bind def/ld{load def

}bd/CB{pop pop pop pop}bind def/B{pop pop pop pop}bind def/$x matrix def/SS{

/pagesave save def}bind def/RS{/pagesave where{pop pagesave restore}{$x matrix

invertmatrix concat}ifelse}bind def/ANSIVec[0/grave 1/acute 2/circumflex 3

/tilde 4/macron 5/breve 6/dotaccent 7/dieresis 8/ring 9/cedilla 10

/hungarumlaut 11/ogonek 12/caron 13/dotlessi 39/quotesingle 96/grave 124/bar

130/quotesinglbase 131/florin 132/quotedblbase 133/ellipsis 134/dagger 135

/daggerdbl 136/circumflex 137/perthousand 138/Scaron 139/guilsinglleft 140/OE

145/quoteleft 146/quoteright 147/quotedblleft 148/quotedblright 149/bullet 150

/endash 151/emdash 152/tilde 153/trademark 154/scaron 155/guilsinglright 156

/oe 159/Ydieresis 160/space 161/exclamdown 164/currency 165/yen 166/brokenbar

167/section 168/dieresis 169/copyright 170/ordfeminine 171/guillemotleft 172

/logicalnot 173/hyphen 174/registered 175/macron 176/degree 177/plusminus 178

/twosuperior 179/threesuperior 180/acute 181/mu 182/paragraph 183

/periodcentered 184/cedilla 185/onesuperior 186/ordmasculine 187

/guillemotright 188/onequarter 189/onehalf 190/threequarters 191/questiondown

192/Agrave 193/Aacute 194/Acircumflex 195/Atilde 196/Adieresis 197/Aring 198

/AE 199/Ccedilla 200/Egrave 201/Eacute 202/Ecircumflex 203/Edieresis 204

/Igrave 205/Iacute 206/Icircumflex 207/Idieresis 208/Eth 209/Ntilde 210/Ograve

211/Oacute 212/Ocircumflex 213/Otilde 214/Odieresis 215/multiply 216/Oslash

217/Ugrave 218/Uacute 219/Ucircumflex 220/Udieresis 221/Yacute 222/Thorn 223

/germandbls 224/agrave 225/aacute 226/acircumflex 227/atilde 228/adieresis 229

/aring 230/ae 231/ccedilla 232/egrave 233/eacute 234/ecircumflex 235/edieresis

236/igrave 237/iacute 238/icircumflex 239/idieresis 240/eth 241/ntilde 242

/ograve 243/oacute 244/ocircumflex 245/otilde 246/odieresis 247/divide 248

/oslash 249/ugrave 250/uacute 251/ucircumflex 252/udieresis 253/yacute 254

/thorn 255/ydieresis]def currentdict{dup type/operatortype eq{[exch]cvx def}{

pop pop}ifelse}forall/initialize{currentdict exch begin begin}bind def

/terminate{/@FL where not{pop end end}{pop}ifelse}bind def/suspend/terminate

load def/resume/initialize load def/M/moveto load def end put/Courier findfont

10 scalefont setfont


end /ProcSet defineresource pop






Pscript_Win_Compat dup /initialize get exec

[ 0 1.000 -1.000 0 0 0 ] false /Pscript_Win_Driver /ProcSet findresource dup /initialize get exec





/mysetup [ 0.240 0 0 -0.240 7.920 592.800 ] | 






userdict begin /pagesave save def end mysetup concat colspRefresh : 1.000 1.000 1.000 sco 0 0 2550 3300 rf ; 






116 70 N M 1 1 rr 

116 70 N M 3000 2250 rr : 1.000 1.000 1.000 sco O ; 

116 70 N M 1 1 rr 

116 70 N M 1 1 rr 

133 87 N M 2904 2146 rr 10 Lw 0 Lc 0 Lj solid 0 0 0 sco K 

579 456 N M 2416 1561 rr : 1.000 0.800 0.600 sco O ; 

579 456 N M 2416 0 - 3 Lw 1 Lc 1 Lj solid 0 0 0 sco K 

2995 456 N M 0 1561 - 0 0 0 sco K 

2995 2017 N M -2416 0 - 0 0 0 sco K 

579 2017 N M 0 -1561 - 0 0 0 sco K 

579 1947 N M 73 56 rr : 1.000 1.000 0 sco O ; 0 Lc 0 Lj 0 0 0 sco K 

579 1774 N M 177 55 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

579 1600 N M 215 55 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

579 1426 N M 274 56 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

579 1252 N M 285 56 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

579 1082 N M 319 55 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

579 908 N M 476 56 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

579 734 N M 845 56 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

579 560 N M 1074 56 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K 

579 1864 N M 121 52 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

579 1690 N M 319 52 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

579 1516 N M 274 53 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

579 1343 N M 330 52 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

579 1169 N M 532 55 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

579 998 N M 528 52 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

579 824 N M 911 53 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

579 651 N M 1617 52 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

579 477 N M 1968 52 rr : 0 0 1.000 sco O ; 0 0 0 sco K 

579 456 N M 0 1561 - 1 Lc 1 Lj 0 0 0 sco K 

558 2017 N M 21 0 - 0 0 0 sco K 

558 1843 N M 21 0 - 0 0 0 sco K 

558 1669 N M 21 0 - 0 0 0 sco K 

558 1495 N M 21 0 - 0 0 0 sco K 

558 1322 N M 21 0 - 0 0 0 sco K 

558 1151 N M 21 0 - 0 0 0 sco K 

558 977 N M 21 0 - 0 0 0 sco K 

558 804 N M 21 0 - 0 0 0 sco K 

558 630 N M 21 0 - 0 0 0 sco K 

558 456 N M 21 0 - 0 0 0 sco K : 610 167 1954 149 rc 0.502 0 0 sco %%IncludeFont: Helvetica-Bold

(F0) cvn

0.930 

 (Helvetica-Bold) cvn /Type1 

T 

(Helvetica-Bold) cvn

mF 

(F0_129) cvn

F0

129 

xF 

F0_129

Ji 

634 167 M 

0.543 0 (M)A 

0.957 0 (E)A 

1.181 0 (T)A 

-4.862 0 (I)A 

0.957 0 (S)A 

0.298 0 (')A 

-2.138 0 32 1.276 0 (s )D 

0.638 0 (O)A 

-1.181 0 (r)A 

1.181 0 (d)A 

1.276 0 (e)A 

-2.181 0 (r)A 

-0.862 0 (i)A 

-2.043 0 32 1.181 0 (ng )D 

0.957 0 (P)A 

1.276 0 (e)A 

-2.181 0 (r)A 

-0.957 0 (f)A 

1.181 0 (o)A 

-1.181 0 (r)A 

0.319 0 (m)A 

1.276 0 (a)A 

1.181 0 (n)A 

-3.138 0 32 1.276 0 (ce )D 

; : 655 1947 181 53 rc 0 0 0 sco (F0_45) cvn

F0

45 

xF 

F0_45

Ji 

665 1947 M 

-1.020 0 (0)A 

1.490 0 (.)A 

-0.020 0 (9)A 

-1.020 0 (0)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 759 1774 181 53 rc 0 0 0 sco F0_45

Ji 

770 1774 M 

-1.020 0 (2)A 

1.490 0 (.)A 

-0.020 0 (1)A 

-1.020 0 (9)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 798 1600 180 53 rc 0 0 0 sco F0_45

Ji 

808 1600 M 

-1.020 0 (2)A 

1.490 0 (.)A 

-0.020 0 (6)A 

-1.020 0 (7)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 857 1426 181 53 rc 0 0 0 sco F0_45

Ji 

867 1426 M 

-1.020 0 (3)A 

1.490 0 (.)A 

-0.020 0 (4)A 

-1.020 0 (3)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 867 1252 181 53 rc 0 0 0 sco F0_45

Ji 

878 1252 M 

-1.020 0 (3)A 

1.490 0 (.)A 

-0.020 0 (5)A 

-1.020 0 (5)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 902 1078 181 53 rc 0 0 0 sco F0_45

Ji 

912 1078 M 

-1.020 0 (3)A 

1.490 0 (.)A 

-0.020 0 (9)A 

-1.020 0 (6)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 1058 904 181 53 rc 0 0 0 sco F0_45

Ji 

1069 904 M 

-1.020 0 (5)A 

1.490 0 (.)A 

-0.020 0 (9)A 

-1.020 0 (0)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 1427 731 205 53 rc 0 0 0 sco F0_45

Ji 

1437 731 M 

-1.020 0 (1)A 

-0.020 0 (0)A 

1.490 0 (.)A 

-1.020 0 (51)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 1657 557 205 53 rc 0 0 0 sco F0_45

Ji 

1667 557 M 

-1.020 0 (1)A 

-0.020 0 (3)A 

1.490 0 (.)A 

-1.020 0 (34)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 704 1861 181 53 rc 0 0 0 sco F0_45

Ji 

714 1861 M 

-1.020 0 (1)A 

1.490 0 (.)A 

-0.020 0 (5)A 

-1.020 0 (2)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 902 1687 181 53 rc 0 0 0 sco F0_45

Ji 

912 1687 M 

-1.020 0 (3)A 

1.490 0 (.)A 

-0.020 0 (9)A 

-1.020 0 (5)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 857 1513 181 53 rc 0 0 0 sco F0_45

Ji 

867 1513 M 

-1.020 0 (3)A 

1.490 0 (.)A 

-0.020 0 (4)A 

-1.020 0 (2)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 912 1339 181 53 rc 0 0 0 sco F0_45

Ji 

923 1339 M 

-1.020 0 (4)A 

1.490 0 (.)A 

-0.020 0 (1)A 

-1.020 0 (0)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 1114 1169 181 53 rc 0 0 0 sco F0_45

Ji 

1124 1169 M 

-1.020 0 (6)A 

1.490 0 (.)A 

-0.020 0 (5)A 

-1.020 0 (9)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 1111 995 180 53 rc 0 0 0 sco F0_45

Ji 

1121 995 M 

-1.020 0 (6)A 

1.490 0 (.)A 

-0.020 0 (5)A 

-1.020 0 (5)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 1493 821 205 53 rc 0 0 0 sco F0_45

Ji 

1504 821 M 

-1.020 0 (1)A 

-0.020 0 (1)A 

1.490 0 (.)A 

-1.020 0 (32)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 2199 647 205 53 rc 0 0 0 sco F0_45

Ji 

2209 647 M 

-1.020 0 (2)A 

-0.020 0 (0)A 

1.490 0 (.)A 

-1.020 0 (07)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 2550 473 205 53 rc 0 0 0 sco F0_45

Ji 

2561 473 M 

-1.020 0 (2)A 

-0.020 0 (4)A 

1.490 0 (.)A 

-1.020 0 (43)A 

-4.020 0 (s)A 

2.980 0 (e)A 

-1.020 0 (c)A 

; : 217 1892 2841 74 rc 0 0 0 sco %%IncludeFont: Helvetica

(F3) cvn

0.909 

 (Helvetica) cvn /Type1 

T 

(Helvetica) cvn

mF 

(F3_66) cvn

F3

66 

xF 

F3_66

Ji 

335 1892 M 

2.652 0 (I)A 

-1.696 0 (n)A 

1.304 0 (p)A 

-0.978 0 (r)A 

1.304 0 (o1)A 

; : 116 1718 2942 74 rc 0 0 0 sco F3_66

Ji 

179 1718 M 

0.978 0 (B)A 

1.348 0 (C)A 

0.978 0 (SS)A 

1.674 0 (T)A 

0.978 0 (K)A 

2.304 0 (3)A 

1.304 0 (0)A 

; : 116 1544 2942 74 rc 0 0 0 sco F3_66

Ji 

179 1544 M 

0.978 0 (B)A 

1.348 0 (C)A 

0.978 0 (SS)A 

1.674 0 (T)A 

0.978 0 (K)A 

2.304 0 (3)A 

1.304 0 (2)A 

; : 116 1370 2942 74 rc 0 0 0 sco F3_66

Ji 

179 1370 M 

0.978 0 (B)A 

1.348 0 (C)A 

0.978 0 (SS)A 

1.674 0 (T)A 

0.978 0 (K)A 

2.304 0 (3)A 

1.304 0 (1)A 

; : 172 1196 2886 74 rc 0 0 0 sco F3_66

Ji 

290 1196 M 

0.978 0 (P)A 

1.348 0 (D)A 

0.978 0 (S)A 

-0.978 0 (-)A 

1.304 0 (20)A 

; : 196 1026 2862 74 rc 0 0 0 sco F3_66

Ji 

314 1026 M 

0.978 0 (KE)A 

-1.652 0 (N)A 

1.304 0 (18)A 

; : 148 852 2910 74 rc 0 0 0 sco F3_66

Ji 

266 852 M 

1.674 0 (F)A 

0.652 0 (O)A 

1.348 0 (R)A 

0.674 0 (T)A 

2.304 0 (1)A 

1.304 0 (7)A 

; : 280 678 2778 74 rc 0 0 0 sco F3_66

Ji 

398 678 M 

1.674 0 (T)A 

-0.978 0 (r)A 

1.304 0 (o)A 

-0.652 0 (ll)A 

; : 214 505 2844 74 rc 0 0 0 sco F3_66

Ji 

332 505 M 

0.652 0 (O)A 

2.000 0 (c)A 

1.304 0 (e)A 

-1.696 0 (an)A 

; 

784 2059 N M 1971 128 rr : 1.000 1.000 1.000 sco O ; 0 Lc 0 Lj 0 0 0 sco K 

812 2100 N M 52 53 rr : 1.000 1.000 0 sco O ; 0 0 0 sco K : 785 2080 1974 96 rc 0 0 0 sco (F0_83) cvn

F0

83 

xF 

F0_83

Ji 

888 2080 M 

3.861 0 (M)A 

0.926 0 (I)A 

0.287 0 32 0.639 0 (PS )D 

-0.926 0 (R)A 

-1.148 0 (1)A 

-0.148 0 (0)A 

-1.148 0 (000)A 

-0.925 0 (@)A 

-1.148 0 (2)A 

-0.148 0 (0)A 

-1.148 0 (0)A 

3.861 0 (M)A 

-0.926 0 (H)A 

0.500 0 (z)A 

; 

1834 2100 N M 52 53 rr : 0 0 1.000 sco O ; 0 0 0 sco K : 1807 2080 952 96 rc 0 0 0 sco F0_83

Ji 

1910 2080 M 

0.926 0 (I)A 

2.287 0 (n)A 

-0.639 0 (t)A 

-0.148 0 (e)A 

0.926 0 (l )A 

0.639 0 (PP)A 

-0.926 0 (R)A 

-2.574 0 (O)A 

-0.925 0 (@)A 

-1.148 0 (2)A 

-0.148 0 (0)A 

-1.148 0 (0)A 

3.861 0 (M)A 

-0.926 0 (H)A 

0.500 0 (z)A 

; 

1538 1010 N M 320 38 rr : 0.502 0 0 sco O ; 

1538 1048 N M 320 61 rr : 0.502 0 0 sco O ; 

1538 1109 N M 320 37 rr : 0.502 0 0 sco O ; 

1858 1010 N M 361 68 rr : 0.502 0 0 sco O ; : 1516 1010 1425 985 rc 1.000 1.000 1.000 sco %%IncludeFont: Helvetica-BoldOblique

(F6) cvn

0.915 

 (Helvetica-BoldOblique) cvn /Type1 

T 

(Helvetica-BoldOblique) cvn

mF 

(F6_59) cvn

F6

59 

xF 

F6_59

Ji 

1888 1011 M 

0.402 0 (N)A 

0.951 0 (u)A 

1.549 0 (m)A 

0.951 0 (b)A 

0.196 0 (e)A 

0.549 0 32 0.049 0 (r )D 

0.951 0 (o)A 

0.353 0 (f)A 

; 

1858 1078 N M 361 68 rr : 0.502 0 0 sco O ; : 1516 1010 1425 985 rc 1.000 1.000 1.000 sco F6_59

Ji 

1922 1080 M 

0.647 0 (V)A 

0.196 0 (e)A 

0.049 0 (r)A 

1.353 0 (t)A 

0.598 0 (i)A 

0.196 0 (ce)A 

1.196 0 (s)A 

; 

2219 1010 N M 362 68 rr : 0.502 0 0 sco O ; : 1516 1010 1425 985 rc 1.000 1.000 1.000 sco F6_59

Ji 

2250 1011 M 

0.402 0 (N)A 

0.951 0 (u)A 

1.549 0 (m)A 

0.951 0 (b)A 

0.196 0 (e)A 

0.549 0 32 0.049 0 (r )D 

0.951 0 (o)A 

0.353 0 (f)A 

; 

2219 1078 N M 362 68 rr : 0.502 0 0 sco O ; : 1516 1010 1425 985 rc 1.000 1.000 1.000 sco F6_59

Ji 

2311 1080 M 

0.647 0 (E)A 

0.951 0 (dg)A 

0.196 0 (es)A 

; 

2581 1010 N M 360 68 rr : 0.502 0 0 sco O ; : 1516 1010 1425 985 rc 1.000 1.000 1.000 sco F6_59

Ji 

2620 1011 M 

1.098 0 (O)A 

0.951 0 (p)A 

0.196 0 (e)A 

0.049 0 (r)A 

1.196 0 (a)A 

0.353 0 (t)A 

0.598 0 (i)A 

0.951 0 (o)A 

-0.049 0 (n)A 

; 

2581 1078 N M 360 68 rr : 0.502 0 0 sco O ; : 1516 1010 1425 985 rc 1.000 1.000 1.000 sco F6_59

Ji 

2675 1080 M 

0.402 0 (C)A 

0.951 0 (oun)A 

0.353 0 (t)A 

; 

1538 1151 N M 320 13 rr : 1.000 1.000 0.800 sco O ; 

1538 1164 N M 320 61 rr : 1.000 1.000 0.800 sco O ; : 1516 1010 1425 985 rc 0.004 0 0 sco (F0_53) cvn

F0

53 

xF 

F0_53

Ji 

1554 1163 M 

0.766 0 (O)A 

0.532 0 (c)A 

1.532 0 (e)A 

0.532 0 (a)A 

0.617 0 (n)A 

; 

1538 1225 N M 320 14 rr : 1.000 1.000 0.800 sco O ; 

1858 1151 N M 361 13 rr : 1.000 1.000 0.800 sco O ; 

1858 1164 N M 361 61 rr : 1.000 1.000 0.800 sco O ; : 1858 1146 361 79 rc 0.004 0 0 sco (F3_53) cvn

F3

53 

xF 

F3_53

Ji 

2007 1166 M 

0.532 0 (1)A 

1.532 0 (4)A 

0.532 0 (3)A 

0.266 0 (,)A 

0.532 0 (43)A 

1.532 0 (7)A 

; 

1858 1225 N M 361 14 rr : 1.000 1.000 0.800 sco O ; 

2219 1151 N M 362 13 rr : 1.000 1.000 0.800 sco O ; 

2219 1164 N M 362 61 rr : 1.000 1.000 0.800 sco O ; : 2219 1146 362 79 rc 0.004 0 0 sco F3_53

Ji 

2369 1166 M 

0.532 0 (4)A 

1.532 0 (0)A 

0.532 0 (9)A 

0.266 0 (,)A 

0.532 0 (59)A 

1.532 0 (3)A 

; 

2219 1225 N M 362 14 rr : 1.000 1.000 0.800 sco O ; 

2581 1151 N M 360 13 rr : 1.000 1.000 0.800 sco O ; 

2581 1164 N M 360 61 rr : 1.000 1.000 0.800 sco O ; : 2581 1146 360 79 rc 0.004 0 0 sco F3_53

Ji 

2699 1166 M 

0.532 0 (1)A 

1.266 0 (.)A 

0.532 0 (26e)A 

1.048 0 (+)A 

0.532 0 (0)A 

1.532 0 (8)A 

; 

2581 1225 N M 360 14 rr : 1.000 1.000 0.800 sco O ; 

1538 1146 N M 320 5 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

1538 1146 N M 320 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

1858 1146 N M 4 5 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

1858 1146 N M 4 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; : 1516 1010 1425 985 rc 

1858 1146 N M 0 5 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

1862 1146 N M 357 5 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

1862 1146 N M 357 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2219 1146 N M 5 5 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

2219 1146 N M 5 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; : 1516 1010 1425 985 rc 

2219 1146 N M 0 5 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2224 1146 N M 357 5 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

2224 1146 N M 357 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2581 1146 N M 5 5 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

2581 1146 N M 5 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; : 1516 1010 1425 985 rc 

2581 1146 N M 0 5 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2586 1146 N M 355 5 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

2586 1146 N M 355 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

1538 1239 N M 320 14 rr : 1.000 1.000 0.800 sco O ; 

1538 1253 N M 320 61 rr : 1.000 1.000 0.800 sco O ; : 1516 1010 1425 985 rc 0.004 0 0 sco F0_53

Ji 

1554 1251 M 

0.617 0 (T)A 

0.383 0 (r)A 

1.617 0 (o)A 

0.266 0 (ll)A 

; 

1538 1314 N M 320 14 rr : 1.000 1.000 0.800 sco O ; 

1858 1239 N M 361 14 rr : 1.000 1.000 0.800 sco O ; 

1858 1253 N M 361 61 rr : 1.000 1.000 0.800 sco O ; : 1858 1239 361 75 rc 0.004 0 0 sco F3_53

Ji 

2007 1255 M 

0.532 0 (2)A 

1.532 0 (1)A 

0.532 0 (3)A 

0.266 0 (,)A 

0.532 0 (45)A 

1.532 0 (3)A 

; 

1858 1314 N M 361 14 rr : 1.000 1.000 0.800 sco O ; 

2219 1239 N M 362 14 rr : 1.000 1.000 0.800 sco O ; 

2219 1253 N M 362 61 rr : 1.000 1.000 0.800 sco O ; : 2219 1239 362 75 rc 0.004 0 0 sco F3_53

Ji 

2323 1255 M 

0.532 0 (5)A 

1.266 0 (,)A 

0.532 0 (885)A 

0.266 0 (,)A 

1.532 0 (8)A 

0.532 0 (29)A 

; 

2219 1314 N M 362 14 rr : 1.000 1.000 0.800 sco O ; 

2581 1239 N M 360 14 rr : 1.000 1.000 0.800 sco O ; 

2581 1253 N M 360 61 rr : 1.000 1.000 0.800 sco O ; : 2581 1239 360 75 rc 0.004 0 0 sco F3_53

Ji 

2699 1255 M 

0.532 0 (5)A 

1.266 0 (.)A 

0.532 0 (53e)A 

1.048 0 (+)A 

0.532 0 (1)A 

1.532 0 (0)A 

; 

2581 1314 N M 360 14 rr : 1.000 1.000 0.800 sco O ; 

1538 1328 N M 320 13 rr : 1.000 1.000 0.800 sco O ; 

1538 1341 N M 320 61 rr : 1.000 1.000 0.800 sco O ; : 1516 1010 1425 985 rc 0.004 0 0 sco F0_53

Ji 

1554 1340 M 

0.617 0 (F)A 

1.617 0 (o)A 

0.383 0 (r)A 

0.351 0 (t)A 

0.532 0 (17)A 

; 

1538 1402 N M 320 15 rr : 1.000 1.000 0.800 sco O ; 

1858 1328 N M 361 13 rr : 1.000 1.000 0.800 sco O ; 

1858 1341 N M 361 61 rr : 1.000 1.000 0.800 sco O ; : 1858 1328 361 74 rc 0.004 0 0 sco F3_53

Ji 

2037 1344 M 

0.532 0 (8)A 

1.532 0 (6)A 

0.266 0 (,)A 

0.532 0 (650)A 

; 

1858 1402 N M 361 15 rr : 1.000 1.000 0.800 sco O ; 

2219 1328 N M 362 13 rr : 1.000 1.000 0.800 sco O ; 

2219 1341 N M 362 61 rr : 1.000 1.000 0.800 sco O ; : 2219 1328 362 74 rc 0.004 0 0 sco F3_53

Ji 

2369 1344 M 

0.532 0 (2)A 

1.532 0 (4)A 

0.532 0 (7)A 

0.266 0 (,)A 

0.532 0 (42)A 

1.532 0 (4)A 

; 

2219 1402 N M 362 15 rr : 1.000 1.000 0.800 sco O ; 

2581 1328 N M 360 13 rr : 1.000 1.000 0.800 sco O ; 

2581 1341 N M 360 61 rr : 1.000 1.000 0.800 sco O ; : 2581 1328 360 74 rc 0.004 0 0 sco F3_53

Ji 

2699 1344 M 

0.532 0 (8)A 

1.266 0 (.)A 

0.532 0 (05e)A 

1.048 0 (+)A 

0.532 0 (0)A 

1.532 0 (6)A 

; 

2581 1402 N M 360 15 rr : 1.000 1.000 0.800 sco O ; 

1538 1417 N M 320 13 rr : 1.000 1.000 0.800 sco O ; 

1538 1430 N M 320 61 rr : 1.000 1.000 0.800 sco O ; : 1516 1010 1425 985 rc 0.004 0 0 sco F0_53

Ji 

1554 1429 M 

0.734 0 (K)A 

0.532 0 (e)A 

1.617 0 (n)A 

0.532 0 (1)A 

1.532 0 (8)A 

; 

1538 1491 N M 320 14 rr : 1.000 1.000 0.800 sco O ; 

1858 1417 N M 361 13 rr : 1.000 1.000 0.800 sco O ; 

1858 1430 N M 361 61 rr : 1.000 1.000 0.800 sco O ; : 1858 1417 361 74 rc 0.004 0 0 sco F3_53

Ji 

2007 1432 M 

0.532 0 (1)A 

1.532 0 (0)A 

0.532 0 (5)A 

0.266 0 (,)A 

0.532 0 (12)A 

1.532 0 (7)A 

; 

1858 1491 N M 361 14 rr : 1.000 1.000 0.800 sco O ; 

2219 1417 N M 362 13 rr : 1.000 1.000 0.800 sco O ; 

2219 1430 N M 362 61 rr : 1.000 1.000 0.800 sco O ; : 2219 1417 362 74 rc 0.004 0 0 sco F3_53

Ji 

2369 1432 M 

0.532 0 (2)A 

1.532 0 (5)A 

0.532 0 (2)A 

0.266 0 (,)A 

0.532 0 (07)A 

1.532 0 (2)A 

; 

2219 1491 N M 362 14 rr : 1.000 1.000 0.800 sco O ; 

2581 1417 N M 360 13 rr : 1.000 1.000 0.800 sco O ; 

2581 1430 N M 360 61 rr : 1.000 1.000 0.800 sco O ; : 2581 1417 360 74 rc 0.004 0 0 sco F3_53

Ji 

2699 1432 M 

0.532 0 (2)A 

1.266 0 (.)A 

0.532 0 (85e)A 

1.048 0 (+)A 

0.532 0 (0)A 

1.532 0 (8)A 

; 

2581 1491 N M 360 14 rr : 1.000 1.000 0.800 sco O ; 

1538 1505 N M 320 14 rr : 1.000 1.000 0.800 sco O ; 

1538 1519 N M 320 61 rr : 1.000 1.000 0.800 sco O ; : 1516 1010 1425 985 rc 0.004 0 0 sco F0_53

Ji 

1554 1517 M 

0.649 0 (P)A 

0.734 0 (D)A 

0.649 0 (S)A 

1.351 0 (-)A 

0.532 0 (20)A 

; 

1538 1580 N M 320 14 rr : 1.000 1.000 0.800 sco O ; 

1858 1505 N M 361 14 rr : 1.000 1.000 0.800 sco O ; 

1858 1519 N M 361 61 rr : 1.000 1.000 0.800 sco O ; : 1858 1505 361 75 rc 0.004 0 0 sco F3_53

Ji 

2037 1521 M 

0.532 0 (3)A 

1.532 0 (3)A 

0.266 0 (,)A 

0.532 0 (798)A 

; 

1858 1580 N M 361 14 rr : 1.000 1.000 0.800 sco O ; 

2219 1505 N M 362 14 rr : 1.000 1.000 0.800 sco O ; 

2219 1519 N M 362 61 rr : 1.000 1.000 0.800 sco O ; : 2219 1505 362 75 rc 0.004 0 0 sco F3_53

Ji 

2369 1521 M 

0.532 0 (1)A 

1.532 0 (4)A 

0.532 0 (3)A 

0.266 0 (,)A 

0.532 0 (16)A 

1.532 0 (1)A 

; 

2219 1580 N M 362 14 rr : 1.000 1.000 0.800 sco O ; 

2581 1505 N M 360 14 rr : 1.000 1.000 0.800 sco O ; 

2581 1519 N M 360 61 rr : 1.000 1.000 0.800 sco O ; : 2581 1505 360 75 rc 0.004 0 0 sco F3_53

Ji 

2699 1521 M 

0.532 0 (3)A 

1.266 0 (.)A 

0.532 0 (82e)A 

1.048 0 (+)A 

0.532 0 (0)A 

1.532 0 (9)A 

; 

2581 1580 N M 360 14 rr : 1.000 1.000 0.800 sco O ; 

1538 1594 N M 320 14 rr : 1.000 1.000 0.800 sco O ; 

1538 1608 N M 320 61 rr : 1.000 1.000 0.800 sco O ; : 1538 1594 320 75 rc 0.004 0 0 sco F0_53

Ji 

1554 1606 M 

0.734 0 (BC)A 

0.649 0 (S)A 

1.649 0 (S)A 

0.617 0 (T)A 

0.734 0 (K)A 

0.532 0 (3)A 

1.532 0 (1)A 

; 

1538 1669 N M 320 14 rr : 1.000 1.000 0.800 sco O ; 

1858 1594 N M 361 14 rr : 1.000 1.000 0.800 sco O ; 

1858 1608 N M 361 61 rr : 1.000 1.000 0.800 sco O ; : 1858 1594 361 75 rc 0.004 0 0 sco F3_53

Ji 

2037 1610 M 

0.532 0 (3)A 

1.532 0 (5)A 

0.266 0 (,)A 

0.532 0 (588)A 

; 

1858 1669 N M 361 14 rr : 1.000 1.000 0.800 sco O ; 

2219 1594 N M 362 14 rr : 1.000 1.000 0.800 sco O ; 

2219 1608 N M 362 61 rr : 1.000 1.000 0.800 sco O ; : 2219 1594 362 75 rc 0.004 0 0 sco F3_53

Ji 

2369 1610 M 

0.532 0 (5)A 

1.532 0 (7)A 

0.532 0 (2)A 

0.266 0 (,)A 

0.532 0 (91)A 

1.532 0 (4)A 

; 

2219 1669 N M 362 14 rr : 1.000 1.000 0.800 sco O ; 

2581 1594 N M 360 14 rr : 1.000 1.000 0.800 sco O ; 

2581 1608 N M 360 61 rr : 1.000 1.000 0.800 sco O ; : 2581 1594 360 75 rc 0.004 0 0 sco F3_53

Ji 

2699 1610 M 

0.532 0 (1)A 

1.266 0 (.)A 

0.532 0 (16e)A 

1.048 0 (+)A 

0.532 0 (0)A 

1.532 0 (9)A 

; 

2581 1669 N M 360 14 rr : 1.000 1.000 0.800 sco O ; 

1538 1683 N M 320 13 rr : 1.000 1.000 0.800 sco O ; 

1538 1696 N M 320 61 rr : 1.000 1.000 0.800 sco O ; : 1538 1683 320 74 rc 0.004 0 0 sco F0_53

Ji 

1554 1695 M 

0.734 0 (BC)A 

0.649 0 (S)A 

1.649 0 (S)A 

0.617 0 (T)A 

0.734 0 (K)A 

0.532 0 (3)A 

1.532 0 (2)A 

; 

1538 1757 N M 320 14 rr : 1.000 1.000 0.800 sco O ; 

1858 1683 N M 361 13 rr : 1.000 1.000 0.800 sco O ; 

1858 1696 N M 361 61 rr : 1.000 1.000 0.800 sco O ; : 1858 1683 361 74 rc 0.004 0 0 sco F3_53

Ji 

2037 1698 M 

0.532 0 (4)A 

1.532 0 (4)A 

0.266 0 (,)A 

0.532 0 (609)A 

; 

1858 1757 N M 361 14 rr : 1.000 1.000 0.800 sco O ; 

2219 1683 N M 362 13 rr : 1.000 1.000 0.800 sco O ; 

2219 1696 N M 362 61 rr : 1.000 1.000 0.800 sco O ; : 2219 1683 362 74 rc 0.004 0 0 sco F3_53

Ji 

2369 1698 M 

0.532 0 (9)A 

1.532 0 (8)A 

0.532 0 (5)A 

0.266 0 (,)A 

0.532 0 (04)A 

1.532 0 (6)A 

; 

2219 1757 N M 362 14 rr : 1.000 1.000 0.800 sco O ; 

2581 1683 N M 360 13 rr : 1.000 1.000 0.800 sco O ; 

2581 1696 N M 360 61 rr : 1.000 1.000 0.800 sco O ; : 2581 1683 360 74 rc 0.004 0 0 sco F3_53

Ji 

2699 1698 M 

0.532 0 (1)A 

1.266 0 (.)A 

0.532 0 (32e)A 

1.048 0 (+)A 

0.532 0 (0)A 

1.532 0 (9)A 

; 

2581 1757 N M 360 14 rr : 1.000 1.000 0.800 sco O ; 

1538 1771 N M 320 14 rr : 1.000 1.000 0.800 sco O ; 

1538 1785 N M 320 61 rr : 1.000 1.000 0.800 sco O ; : 1538 1771 320 75 rc 0.004 0 0 sco F0_53

Ji 

1554 1784 M 

0.734 0 (BC)A 

0.649 0 (S)A 

1.649 0 (S)A 

0.617 0 (T)A 

0.734 0 (K)A 

0.532 0 (3)A 

1.532 0 (0)A 

; 

1538 1846 N M 320 14 rr : 1.000 1.000 0.800 sco O ; 

1858 1771 N M 361 14 rr : 1.000 1.000 0.800 sco O ; 

1858 1785 N M 361 61 rr : 1.000 1.000 0.800 sco O ; : 1858 1771 361 75 rc 0.004 0 0 sco F3_53

Ji 

2037 1787 M 

0.532 0 (2)A 

1.532 0 (8)A 

0.266 0 (,)A 

0.532 0 (294)A 

; 

1858 1846 N M 361 14 rr : 1.000 1.000 0.800 sco O ; 

2219 1771 N M 362 14 rr : 1.000 1.000 0.800 sco O ; 

2219 1785 N M 362 61 rr : 1.000 1.000 0.800 sco O ; : 2219 1771 362 75 rc 0.004 0 0 sco F3_53

Ji 

2323 1787 M 

0.532 0 (1)A 

1.266 0 (,)A 

0.532 0 (007)A 

0.266 0 (,)A 

1.532 0 (2)A 

0.532 0 (84)A 

; 

2219 1846 N M 362 14 rr : 1.000 1.000 0.800 sco O ; 

2581 1771 N M 360 14 rr : 1.000 1.000 0.800 sco O ; 

2581 1785 N M 360 61 rr : 1.000 1.000 0.800 sco O ; : 2581 1771 360 75 rc 0.004 0 0 sco F3_53

Ji 

2699 1787 M 

0.532 0 (1)A 

1.266 0 (.)A 

0.532 0 (17e)A 

1.048 0 (+)A 

0.532 0 (0)A 

1.532 0 (9)A 

; 

2581 1846 N M 360 14 rr : 1.000 1.000 0.800 sco O ; 

1538 1860 N M 320 16 rr : 1.000 1.000 0.800 sco O ; 

1538 1876 N M 320 61 rr : 1.000 1.000 0.800 sco O ; : 1516 1010 1425 985 rc 0.004 0 0 sco F0_53

Ji 

1554 1874 M 

0.266 0 (I)A 

0.617 0 (n)A 

1.617 0 (p)A 

0.383 0 (r)A 

0.617 0 (o)A 

0.532 0 (1)A 

; 

1538 1937 N M 320 17 rr : 1.000 1.000 0.800 sco O ; 

1858 1860 N M 361 16 rr : 1.000 1.000 0.800 sco O ; 

1858 1876 N M 361 61 rr : 1.000 1.000 0.800 sco O ; : 1858 1860 361 77 rc 0.004 0 0 sco F3_53

Ji 

2037 1878 M 

0.532 0 (4)A 

1.532 0 (6)A 

0.266 0 (,)A 

0.532 0 (949)A 

; 

1858 1937 N M 361 17 rr : 1.000 1.000 0.800 sco O ; 

2219 1860 N M 362 16 rr : 1.000 1.000 0.800 sco O ; 

2219 1876 N M 362 61 rr : 1.000 1.000 0.800 sco O ; : 2219 1860 362 77 rc 0.004 0 0 sco F3_53

Ji 

2323 1878 M 

0.532 0 (1)A 

1.266 0 (,)A 

0.532 0 (117)A 

0.266 0 (,)A 

1.532 0 (8)A 

0.532 0 (09)A 

; 

2219 1937 N M 362 17 rr : 1.000 1.000 0.800 sco O ; 

2581 1860 N M 360 16 rr : 1.000 1.000 0.800 sco O ; 

2581 1876 N M 360 61 rr : 1.000 1.000 0.800 sco O ; : 2581 1860 360 77 rc 0.004 0 0 sco F3_53

Ji 

2699 1878 M 

0.532 0 (1)A 

1.266 0 (.)A 

0.532 0 (24e)A 

1.048 0 (+)A 

0.532 0 (0)A 

1.532 0 (9)A 

; 

2581 1937 N M 360 17 rr : 1.000 1.000 0.800 sco O ; 

1538 1954 N M 320 4 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

1538 1954 N M 320 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

1858 1954 N M 4 4 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

1858 1954 N M 4 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; : 1516 1010 1425 985 rc 

1858 1954 N M 0 4 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

1862 1954 N M 357 4 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

1862 1954 N M 357 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2219 1954 N M 5 4 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

2219 1954 N M 5 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; : 1516 1010 1425 985 rc 

2219 1954 N M 0 4 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2224 1954 N M 357 4 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

2224 1954 N M 357 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2581 1954 N M 5 4 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

2581 1954 N M 5 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; : 1516 1010 1425 985 rc 

2581 1954 N M 0 4 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

2586 1954 N M 355 4 rr : 0 0 0 sco O ; : 1516 1010 1425 985 rc 

2586 1954 N M 355 0 - 1 Lw 1 Lc 1 Lj solid 0 0 0 sco K ; 

LH 

pagesave restore







/Pscript_Win_Driver /ProcSet findresource dup /terminate get exec

Pscript_Win_Compat dup /terminate get exec


cleartomark
countdictstack exch sub { end } repeat
restore grestore
%
% End Imported PIC File: slide2.eps
%
$F2psEnd
rs
%%EndDocument
 @endspecial 0 3899 a Fy(Figure)19 b(2)p FL(:)28 b Fx(The)19
b(amount)g(of)h(time)g(required)f(b)o(y)i(M)l Fv(E)-17
b Fx(T)g Fv(I)p Fx(S)23 b(to)d(par)s(tition)f(v)n(ar)q(ious)h(g)o(r)o
(aphs)f(in)h(256)g(par)s(ts)f(and)h(the)f(amount)g(of)h(time)g
(required)e(b)o(y)k(M)l Fv(E)-17 b Fx(T)g Fv(I)p Fx(S)0
3999 y(to)19 b(compute)f(\002ll-reducing)g(order)q(ings)f(f)n(or)i(v)n
(ar)q(ious)f(sparse)h(matr)q(ices)o(.)100 4183 y FL(The)i(rest)h(of)f
(this)i(manual)d(is)j(or)o(ganized)c(as)j(follo)n(ws:)28
b(Section)21 b(4)h(describes)f(the)h(user)f(interf)o(ace)g(to)h(the)f
(stand-alone)f(programs)0 4292 y(pro)o(vided)i(by)k Fz(M)l
FG(E)-17 b Fz(T)g FG(I)p Fz(S)r FL(.)26 b(Section)e(5)g(describes)g
(the)g(stand-alone)f(library)g(that)i(implements)e(the)h(v)n(arious)f
(algorithms)g(implemented)0 4402 y(in)f Fz(M)l FG(E)-17
b Fz(T)g FG(I)p Fz(S)r FL(.)23 b(Finally)-5 b(,)19 b(Section)h(6)g
(describes)g(the)g(system)g(requirements)f(for)g(the)j
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)25 b FL(package.)1929
5649 y(5)p eop
%%Page: 6 6
6 5 bop 0 85 a FD(3)116 b(What)31 b(is)h(Ne)n(w)h(in)g(This)f(V)-6
b(er)n(sion)0 261 y FL(The)19 b(latest)i(v)o(ersion)d(of)j
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)24 b FL(contains)19
b(a)h(number)d(of)i(changes)g(o)o(v)o(er)f(the)i(pre)n(vious)e(major)g
(release)i(\(v)o(ersion)e(3.0\).)23 b(Most)d(of)f(these)0
370 y(changes)h(are)g(concentrated)e(on)i(the)h(graph)e(and)h(mesh)g
(partitioning)f(routines)h(and)g(the)o(y)f(mar)o(ginally)g(af)n(fect)h
(the)g(sparse)h(matrix)f(re-)0 480 y(ordering)c(routines.)23
b(T)-7 b(able)18 b(1)h(describes)e(which)h(programs)e(and)i(routines)f
(of)j Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)21 b
FL(ha)n(v)o(e)d(been)f(changed)g(and)g(the)i(ne)n(w)f(routines)0
590 y(in)k Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)p
FL(.)29 b(In)20 b(the)g(rest)g(of)g(this)h(section)f(we)g(brie\003y)g
(describe)f(some)h(of)g(the)h(major)e(changes.)0 799
y FB(Multi-Constraint)24 b(P)n(ar)r(titioning)100 b Fz(M)l
FG(E)-17 b Fz(T)g FG(I)p Fz(S)26 b FL(no)n(w)c(includes)f(partitioning)
f(routines)h(that)h(can)g(be)g(used)g(to)g(partition)f(a)i(graph)d(in)0
908 y(the)e(presence)e(of)h(multiple)g(balancing)f(constraints.)24
b(The)17 b(idea)g(is)i(that)e(each)g(v)o(erte)o(x)g(has)g(a)h(v)o
(ector)f(of)g(weights)g(of)h(size)g Ft(m)23 b FL(associated)0
1018 y(with)g(it,)i(and)d(the)h(objecti)n(v)o(e)f(of)h(the)g
(partitioning)e(algorithm)h(is)i(to)f(minimize)g(the)g(edgecut)f
(subject)h(to)g(the)g(constraints)g(that)g(each)0 1128
y(one)i(of)g(the)h Ft(m)31 b FL(weights)25 b(is)i(equally)e(distrib)n
(uted)f(among)g(the)i(domains.)40 b(F)o(or)25 b(e)o(xample,)h(if)f(the)
h(\002rst)g(weight)f(corresponds)f(to)i(the)0 1237 y(amount)c(of)i
(computation)d(and)i(the)g(second)g(weight)g(corresponds)f(to)h(the)h
(amount)e(of)i(storage)e(required)g(for)h(each)g(element,)h(then)0
1347 y(the)19 b(partitioning)f(computed)f(by)i(the)g(ne)n(w)g
(algorithms)f(will)i(balance)e(both)h(the)g(computation)e(performed)g
(in)i(each)g(domain)f(as)i(well)0 1456 y(as)f(the)e(amount)g(of)g
(memory)f(that)i(it)h(requires.)k(Also,)18 b(multi-phase)f
(\(multi-physics\))e(computations)h(can)h(use)h(the)g(ne)n(w)g
(partitioning)0 1566 y(algorithm)28 b(to)i(simultaneously)e(balance)h
(the)h(computations)e(performed)f(in)j(each)f(phase.)53
b(The)30 b(multi-constraint)e(partitioning)0 1675 y(algorithms)19
b(and)h(their)f(applications)g(are)i(further)d(described)h(in)i([6)o
(].)100 1785 y(The)46 b(multi-constraint)f(partitioning)g(algorithm)h
(is)i(implemented)d(by)h(the)h Fz(METIS)p 2781 1785 25
4 v 31 w(mCP)m(ar)s(tGr)o(aphRecursiv)n(e)g FL(and)0
1895 y Fz(METIS)p 258 1895 V 31 w(mCP)m(ar)s(tGr)o(aphKw)o(a)n(y)25
b FL(routines)g(that)h(are)g(based)g(on)f(the)h(multile)n(v)o(el)f
(recursi)n(v)o(e)f(bisection)h(and)g(the)h(multile)n(v)o(el)f
Ft(k)5 b FL(-w)o(ay)0 2004 y(partitioning)21 b(paradigms,)i(respecti)n
(v)o(ely)-5 b(.)32 b(Also,)24 b(the)g Fz(pmetis)g FL(and)f(the)g
Fz(kmetis)h FL(programs)d(ha)n(v)o(e)i(been)g(o)o(v)o(erloaded)d(to)j
(in)m(v)n(ok)o(e)g(the)0 2114 y(multi-constraint)h(partitioner)g(when)i
(the)g(input)f(graph)g(contains)g(multiple)g(v)o(erte)o(x)g(weights)h
(\(Section)f(4.5.1)g(describes)g(ho)n(w)h(the)0 2223
y(format)19 b(of)h(the)g(input)g(graph)e(\002le)j(has)g(been)e(e)o
(xtended)f(to)j(allo)n(w)f(you)f(to)i(specify)e(multiple)h(v)o(erte)o
(x)e(weights\).)0 2433 y FB(Minimizing)25 b(the)g(T)-7
b(otal)25 b(Comm)n(unication)f(V)-7 b(olume)99 b FL(The)22
b(objecti)n(v)o(e)f(of)i(the)f(traditional)f(graph)g(partitioning)g
(problem)g(is)0 2542 y(to)f(compute)e(a)i(balanced)e
Ft(k)5 b FL(-w)o(ay)19 b(partitioning)f(such)h(that)h(the)g(number)d
(of)j(edges)f(\(or)g(in)h(the)f(case)h(of)g(weighted)e(graphs)h(the)g
(sum)h(of)0 2652 y(their)f(weights\))g(that)h(straddle)f(dif)n(ferent)f
(partitions)h(is)i(minimized.)i(When)d(partitioning)d(is)k(used)e(to)h
(distrib)n(ute)f(a)h(graph)e(or)i(a)g(mesh)0 2761 y(among)f(the)i
(processors)f(of)h(a)g(parallel)f(computer)m(,)f(the)i(objecti)n(v)o(e)
e(of)i(minimizing)e(the)i(edgecut)f(is)h(only)f(an)h(approximation)d
(of)j(the)0 2871 y(true)j(communication)e(cost)i(resulting)g(from)f
(the)i(partitioning.)36 b(Despite)24 b(that,)i(for)d(a)i(wide)g(range)e
(of)h(problems,)g(by)g(minimizing)0 2981 y(the)c(edgecut,)f(the)h
(partitioning)e(algorithms)h(also)i(minimize)e(the)h(communication)e
(cost)i(reasonably)f(well.)100 3090 y(Ho)n(we)n(v)o(er)m(,)29
b(there)f(are)h(cases)h(in)f(which)f(a)i(partitioning)d(algorithm)g
(can)i(signi\002cantly)f(reduce)g(the)h(communication)d(cost)j(by)0
3200 y(directly)24 b(minimizing)f(this)j(objecti)n(v)o(e)d(\(as)i
(opposed)e(to)i(the)g(edgecut\).)39 b Fz(M)l FG(E)-17
b Fz(T)g FG(I)p Fz(S)29 b FL(no)n(w)c(pro)o(vides)e(the)i
Fz(METIS)p 3238 3200 V 30 w(P)m(ar)s(tGr)o(aphVKw)o(a)n(y)0
3309 y FL(and)32 b Fz(METIS)p 411 3309 V 30 w(WP)m(ar)s(tGr)o(aphVKw)o
(a)n(y)h FL(routines)e(that)h(directly)g(minimize)f(the)h
(communication)d(cost)k(as)g(de\002ned)e(by)g(the)h(total)0
3419 y(communication)16 b(v)n(olume)i(resulted)g(by)h(the)g
(partitioning)e(\(see)i(Section)g(5.3)f(for)g(a)i(precise)e
(de\002nition)g(of)h(this)g(objecti)n(v)o(e)f(function\).)0
3529 y(Note)24 b(that)g(for)f(these)h(routines)f(to)g(pro)o(vide)f
(meaningful)g(partitionings,)g(the)i(connecti)n(vity)e(of)h(the)h
(graph)f(should)f(re\003ect)i(the)g(true)0 3638 y(information)18
b(e)o(xchange)g(requirements)g(of)i(the)g(underlying)e(computation.)0
3847 y FB(Minimizing)28 b(the)g(Maxim)n(um)h(Connectivity)f(of)g(the)h
(Subdomains)99 b FL(The)25 b(communication)d(cost)k(resulting)e(from)h
(a)h Ft(k)5 b FL(-)0 3957 y(w)o(ay)23 b(partitioning)e(in)j(general)e
(depends)g(on)g(the)i(follo)n(wing)d(f)o(actors:)31 b(\(i\))23
b(the)g(total)h(communication)c(v)n(olume,)j(\(ii\))g(the)g(maximum)0
4067 y(amount)e(of)i(data)f(that)h(an)o(y)f(particular)f(processor)g
(needs)h(to)h(send)g(and)f(recei)n(v)o(e;)h(and)f(\(iii\))g(the)h
(number)e(of)h(messages)h(a)g(processor)0 4176 y(needs)f(to)h(send)g
(and)f(recei)n(v)o(e.)31 b(The)23 b(partitioning)d(routines)i(in)h
(earlier)f(v)o(ersions)g(of)i Fz(M)l FG(E)-17 b Fz(T)g
FG(I)p Fz(S)27 b FL(concentrated)21 b(only)h(on)g(the)h(\002rst)g(f)o
(actor)0 4286 y(\(by)30 b(minimizing)f(the)h(edgecut\).)54
b(In)30 b(this)h(release,)k Fz(M)l FG(E)-17 b Fz(T)g
FG(I)p Fz(S)35 b FL(also)c(pro)o(vides)d(support)i(for)f(minimizing)g
(the)i(third)f(f)o(actor)f(\(which)0 4395 y(essentially)21
b(reduces)f(the)h(number)e(of)h(startups\))g(and)h(indirectly)e(\(up)h
(to)h(a)g(point\))f(reduces)g(the)h(second)f(f)o(actor)-5
b(.)26 b(Experiments)19 b(ha)n(v)o(e)0 4505 y(sho)n(wn)26
b(that)h(for)f(most)h(graphs)e(corresponding)e(to)k(\002nite)g(element)
f(meshes,)i(the)f(ne)n(w)g(release)f(of)j Fz(M)l FG(E)-17
b Fz(T)g FG(I)p Fz(S)31 b FL(is)d(able)e(to)h(reduce)f(the)0
4614 y(maximum)i(\(and)g(total\))h(number)f(of)h(adjacent)f(subdomains)
g(considerably\227especially)e(when)j(the)g(graph)f(is)i(partitioned)e
(in)h(a)0 4724 y(relati)n(v)o(ely)18 b(lar)o(ge)g(number)f(of)i
(partitions)f(\()p Fs(e)o(.g)o FL(.,)h(greater)f(than)h(30\).)24
b(F)o(or)19 b(most)g(3D)g(\002nite)g(elements)g(graphs,)f(the)h
(maximum)e(number)0 4834 y(of)j(subdomains)e(for)i(a)h(50-w)o(ay)d
(partition)i(has)g(been)f(reduced)g(from)g(around)f(25)i(to)h(around)d
(16.)100 4943 y(This)66 b(enhancement)d(is)j(pro)o(vided)e(as)i(a)g
(re\002nement)e(option)h(for)g(both)g(the)h Fz(METIS)p
3041 4943 V 30 w(P)m(ar)s(tGr)o(aphKw)o(a)n(y)g FL(and)0
5053 y Fz(METIS)p 258 5053 V 31 w(P)m(ar)s(tGr)o(aphVKw)o(a)n(y)20
b FL(routines,)f(and)h(is)h(the)f(def)o(ault)g(option)f(of)g
Fz(kmetis)i FL(and)f Fz(METIS)p 2822 5053 V 30 w(P)m(ar)s(tGr)o(aphKw)o
(a)n(y)p FL(.)0 5262 y FB(Reducing)28 b(the)h(Number)g(of)f
(Non-Contiguous)e(Subdomains)99 b FL(A)26 b Ft(k)5 b
FL(-w)o(ay)25 b(partitioning)f(of)h(a)h(contiguous)e(graph)g(can)0
5372 y(often)h(lead)g(to)h(some)f(subdomains)f(being)g(assigned)h
(non-contiguous)d(portions)i(of)i(the)f(graph.)40 b(F)o(or)25
b(man)o(y)f(problems,)h(the)h(non-)1929 5649 y(6)p eop
%%Page: 7 7
7 6 bop 120 100 3661 17 v 120 199 a Fr(Chang)q(es)28
b(in)i(M)-6 b Fq(E)-21 b Fr(T)g Fq(I)o Fr(S)r(')-6 b(s)33
b(stand-alone)c(pr)n(ograms)p 120 257 V 120 357 a Fz(pmetis)1016
b FL(It)24 b(has)f(been)g(o)o(v)o(er)n(-loaded)d(to)j(in)m(v)n(ok)o(e)f
(the)i(multi-constraint)d(partitioning)g(algo-)1380 457
y(rithm)f(when)f(the)h(graph)f(contains)h(multiple)f(v)o(erte)o(x)g
(weights.)120 643 y Fz(kmetis)1020 b FL(It)24 b(has)f(been)g(o)o(v)o
(er)n(-loaded)d(to)j(in)m(v)n(ok)o(e)f(the)i(multi-constraint)d
(partitioning)g(algo-)1380 742 y(rithm)f(when)f(the)h(graph)f(contains)
h(multiple)f(v)o(erte)o(x)g(weights.)1380 842 y(The)k(partitioning)e
(algorithm)h(has)h(been)f(modi\002ed)g(to)i(also)f(minimize)f(the)h
(con-)1380 941 y(necti)n(vity)c(of)h(the)g(subdomains.)1380
1041 y(A)f(pre-)e(and)g(post-re\002nement)f(step)i(is)h(applied)e(that)
i(tries)f(to)g(reduce)f(the)h(number)1380 1141 y(of)i(non-contiguous)c
(subdomains.)120 1327 y Fz(par)s(tnmesh)120 1426 y(par)s(tdmesh)1380
1327 y FL(The)23 b(partitioning)e(algorithm)h(has)h(been)f(modi\002ed)g
(to)i(also)f(minimize)f(the)h(con-)1380 1426 y(necti)n(vity)c(of)h(the)
g(subdomains.)p 120 1469 V 120 1768 V 120 1868 a Fr(Chang)q(es)28
b(in)i(M)-6 b Fq(E)-21 b Fr(T)g Fq(I)o Fr(S)r(lib')-6
b(s)32 b(r)n(outines)p 120 1926 V 120 2025 a Fz(METIS)p
378 2025 25 4 v 31 w(P)m(ar)s(tGr)o(aphKw)o(a)n(y)120
2125 y(METIS)p 378 2125 V 31 w(WP)m(ar)s(tGr)o(aphKw)o(a)n(y)1380
2025 y FL(A)19 b(ne)n(w)f(re\002nement)f(algorithm)f(has)j(been)e
(added)h(that)g(also)g(minimizes)g(the)g(con-)1380 2125
y(necti)n(vity)j(of)i(the)f(subdomains.)30 b(This)22
b(ne)n(w)h(algorithm)d(has)j(been)f(made)g(the)g(de-)1380
2225 y(f)o(ault)e(option.)1380 2324 y(A)f(pre-)e(and)g
(post-re\002nement)f(step)i(is)h(applied)e(that)i(tries)f(to)g(reduce)f
(the)h(number)1380 2424 y(of)i(non-contiguous)c(subdomains.)120
2611 y Fz(METIS)p 378 2611 V 31 w(P)m(ar)s(tGr)o(aphVKw)o(a)n(y)120
2710 y(METIS)p 378 2710 V 31 w(WP)m(ar)s(tGr)o(aphVKw)o(a)n(y)1380
2611 y FL(This)28 b(is)h(a)f(ne)n(w)g(set)g(of)g(routines)f(that)h
(compute)e(a)j Ft(k)5 b FL(-w)o(ay)27 b(partitioning)f(whose)1380
2710 y(objecti)n(v)o(e)19 b(is)i(to)f(minimize)g(the)g(total)g
(communication)e(v)n(olume.)120 2898 y Fz(METIS)p 378
2898 V 31 w(mCP)m(ar)s(tGr)o(aphRecursiv)n(e)120 2997
y(METIS)p 378 2997 V 31 w(mCP)m(ar)s(tGr)o(aphKw)o(a)n(y)1380
2898 y FL(This)h(is)h(a)f(ne)n(w)g(set)h(of)e(routines)g(that)h
(compute)f(a)h Ft(k)5 b FL(-w)o(ay)19 b(partitioning)e(subject)h(to)
1380 2997 y(multiple)i(balancing)e(constraints.)p 120
3040 3661 17 v 1105 3276 a Fy(T)-5 b(ab)o(le)18 b(1)p
FL(:)26 b Fx(Summar)r(y)18 b(of)h(the)f(changes)h(in)h(M)l
Fv(E)-17 b Fx(T)g Fv(I)p Fx(S)22 b(and)f(M)l Fv(E)-17
b Fx(T)g Fv(I)p Fx(S)r(lib.)0 3459 y FL(contiguity)23
b(is)j(a)f(result)g(of)g(the)g(underlying)d(geometry)h(and)i(often)f
(leads)h(to)g(better)g(quality)f(partitions.)38 b(Ne)n(v)o(ertheless,)
25 b(there)g(are)0 3569 y(cases)32 b(in)g(which)e(the)i(partitioning)d
(algorithm)h(is)i(fooled)e(and)h(breaks)f(certain)h(domains.)59
b Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)36 b FL(no)n(w)31
b(pro)o(vides)e(support)h(for)0 3678 y(eliminating)19
b(such)h(spurious)f(non-contiguous)d(subdomains.)100
3788 y(This)j(support)f(is)i(pro)o(vided)c(as)k(a)f(def)o(ault)g
(option)f(for)g(both)g(the)h Fz(METIS)p 2213 3788 25
4 v 31 w(P)m(ar)s(tGr)o(aphKw)o(a)n(y)g FL(and)g Fz(METIS)p
3238 3788 V 30 w(P)m(ar)s(tGr)o(aphVKw)o(a)n(y)0 3898
y FL(routines,)g(and)h(the)g Fz(kmetis)g FL(program.)1929
5649 y(7)p eop
%%Page: 8 8
8 7 bop 0 85 a FD(4)119 b(M)-6 b FA(E)-23 b FD(T)g FA(I)p
FD(S)s(')-7 b(s)31 b(Stand-Alone)g(Pr)n(ograms)2 261
y Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)32 b FL(pro)o(vides)27
b(a)h(v)n(ariety)f(of)h(programs)e(that)i(can)g(be)g(used)g(to)g
(partition)f(graphs,)h(partition)f(meshes,)j(compute)d(\002ll-reducing)
0 370 y(orderings)21 b(of)i(sparse)h(matrices,)f(as)h(well)g(as)g
(programs)d(to)j(con)m(v)o(ert)d(meshes)i(into)g(graphs)f(appropriate)f
(for)j Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r FL(')-5
b(s)26 b(graph)c(parti-)0 480 y(tioning)d(programs.)100
590 y(The)j(rest)h(of)f(this)h(section)f(pro)o(vides)e(detailed)i
(descriptions)f(about)h(the)g(functionality)f(of)h(these)g(programs,)f
(ho)n(w)h(to)h(use)f(them,)0 699 y(the)e(format)f(of)h(the)g(input)g
(\002les)h(required)d(by)i(them,)g(and)f(the)i(format)e(of)h(the)g
(produced)d(output)i(\002les.)0 927 y Fr(4.1)100 b(Graph)27
b(P)m(ar)r(titioning)g(Pr)n(ograms)2 1086 y Fz(M)l FG(E)-17
b Fz(T)g FG(I)p Fz(S)30 b FL(pro)o(vides)25 b(tw)o(o)h(programs)e
Fp(pmetis)i FL(and)g Fp(kmetis)f FL(for)h(partitioning)e(an)i
(unstructured)d(graph)i(into)h Ft(k)32 b FL(equal)25
b(size)i(parts.)0 1196 y(The)c(partitioning)f(algorithm)h(used)g(by)h
Fp(pmetis)f FL(is)i(based)e(on)g(multile)n(v)o(el)g(recursi)n(v)o(e)g
(bisection)g(described)f(in)i([8)o(],)h(whereas)f(the)0
1305 y(partitioning)j(algorithm)h(used)h(by)f Fp(kmetis)h
FL(is)h(based)f(on)g(multile)n(v)o(el)f Ft(k)5 b FL(-w)o(ay)29
b(partitioning)e(described)h(in)h([7)o(].)52 b(Both)29
b(of)g(these)0 1415 y(programs)24 b(are)i(able)g(to)g(produce)e(high)h
(quality)g(partitions.)41 b(Ho)n(we)n(v)o(er)m(,)26 b(depending)d(on)i
(the)h(application,)g(one)f(program)f(may)i(be)0 1524
y(preferable)16 b(than)i(the)g(other)-5 b(.)23 b(In)18
b(general,)f Fp(kmetis)h FL(is)h(preferred)c(when)j(it)g(is)h
(necessary)f(to)g(partition)f(graphs)g(into)g(more)g(than)h(eight)0
1634 y(partitions.)37 b(F)o(or)25 b(such)f(cases,)i Fp(kmetis)e
FL(is)i(considerably)c(f)o(aster)j(than)f Fp(pmetis)p
FL(.)38 b(On)24 b(the)h(other)f(hand,)g Fp(pmetis)g FL(is)i(preferable)
0 1744 y(for)20 b(partitioning)e(a)i(graph)f(into)h(a)h(small)f(number)
f(of)h(partitions.)100 1853 y(Both)g Fp(pmetis)f FL(and)h
Fp(kmetis)g FL(are)g(in)m(v)n(ok)o(ed)e(by)i(pro)o(viding)d(tw)o(o)k
(ar)o(guments)d(at)j(the)f(command)e(line)i(as)h(follo)n(ws:)257
2046 y FB(pmetis)124 b Fs(Gr)o(aphF)l(ile)f(Nparts)257
2155 y FB(kmetis)129 b Fs(Gr)o(aphF)l(ile)123 b(Nparts)100
2348 y FL(The)30 b(\002rst)h(ar)o(gument)e Fs(Gr)o(aphF)l(ile)p
FL(,)j(is)f(the)g(name)f(of)g(the)h(\002le)g(that)g(stores)g(the)f
(graph)f(\(whose)h(format)g(is)h(described)f(in)g(Sec-)0
2458 y(tion)19 b(4.5.1\),)f(while)i(the)f(second)g(ar)o(gument)e
Fs(Nparts)p FL(,)j(is)h(the)e(number)f(of)h(partitions)g(that)h(is)g
(desired.)k(Both)c Fp(pmetis)f FL(and)g Fp(kmetis)0 2567
y FL(can)i(partition)g(a)h(graph)e(into)h(an)g(arbitrary)f(number)g(of)
h(partitions.)28 b(Upon)21 b(successful)g(e)o(x)o(ecution,)e(both)i
(programs)f(display)h(statis-)0 2677 y(tics)i(re)o(garding)c(the)j
(quality)f(of)h(the)g(computed)e(partitioning)f(and)j(the)g(amount)e
(of)i(time)g(tak)o(en)g(to)g(perform)e(the)i(partitioning.)28
b(The)0 2786 y(actual)20 b(partitioning)e(is)j(stored)f(in)g(a)h
(\002le)g(named)e Fo(GraphF)m(ile.part.Nparts)p FL(,)f(whose)i(format)f
(is)j(described)c(in)j(Section)f(4.6.1.)100 2896 y(Figure)k(3)h(sho)n
(ws)g(the)g(output)f(of)g Fp(pmetis)h FL(and)f Fp(kmetis)h
FL(for)f(partitioning)f(a)i(graph)f(into)h(100)f(parts.)39
b(From)24 b(this)i(\002gure)e(we)0 3006 y(see)19 b(that)g(both)e
(programs)g(initially)h(print)g(information)e(about)i(the)g(graph,)f
(such)i(as)g(its)g(name,)f(the)h(number)d(of)j(v)o(ertices)f(\()p
Fs(#V)-9 b(ertices)p FL(\),)0 3115 y(the)22 b(number)f(of)h(edges)g(\()
p Fs(#Edg)o(es)p FL(\),)f(and)g(also)i(the)f(number)f(of)h(desired)f
(partitions)h(\()p Fs(#P)-7 b(arts)p FL(\).)30 b(Ne)o(xt,)23
b(the)o(y)e(print)h(some)g(information)0 3225 y(re)o(garding)h(the)j
(quality)f(of)h(the)g(partitioning.)40 b(Speci\002cally)-5
b(,)26 b(the)o(y)g(report)e(the)i(number)f(of)g(edges)h(being)f(cut)h
(\()p Fs(Edg)o(e-Cut)p FL(\))e(by)i(the)0 3334 y(partitioning,)j(as)g
(well)g(as)h(the)e(balance)g(of)h(the)f(partitioning)1841
3304 y Fn(1)1875 3334 y FL(.)51 b(Finally)-5 b(,)30 b(both)d
Fp(pmetis)i FL(and)f Fp(kmetis)g FL(sho)n(w)g(the)h(time)g(tak)o(en)0
3444 y(by)e(the)g(v)n(arious)f(phases)h(of)g(the)g(algorithm.)44
b(All)27 b(times)h(are)f(in)g(seconds.)45 b(F)o(or)27
b(this)g(particular)f(e)o(xample,)h Fp(pmetis)g FL(required)e(a)0
3553 y(total)g(of)g(17.070)d(seconds,)j(of)g(which)f(13.850)f(seconds)h
(w)o(as)i(tak)o(en)e(by)h(the)g(partitioning)e(algorithm)g(itself,)j
(and)f(the)f(rest)i(w)o(as)f(to)0 3663 y(read)d(the)g(graph)f(itself.)
31 b(Similarly)-5 b(,)22 b Fp(kmetis)g FL(required)e(a)j(total)f(of)g
(6.790)e(seconds,)i(of)g(which)g(3.570)e(seconds)i(w)o(as)h(tak)o(en)f
(by)g(the)0 3773 y(partitioning)e(algorithm)g(itself.)31
b(As)23 b(you)e(can)h(see)g(from)f(this)i(e)o(xample,)d
Fp(kmetis)i FL(is)h(considerably)c(f)o(aster)j(than)g
Fp(pmetis)p FL(,)f(and)h(it)0 3882 y(produces)c(a)j(partitioning)d
(that)j(is)g(slightly)f(better)f(than)h(that)g(produced)e(by)i
Fp(pmetis)p FL(.)100 3992 y(Figure)e(4)g(sho)n(ws)h(the)f(output)g(of)g
Fp(pmetis)g FL(and)g Fp(kmetis)g FL(for)g(partitioning)f(a)i(graph)e
(into)h(16)g(parts)h(subject)f(to)h(three)f(balancing)0
4101 y(constraints.)41 b(Both)26 b Fp(pmetis)f FL(and)h
Fp(kmetis)f FL(ha)n(v)o(e)g(been)g Fs(o)o(ver)n(-loaded)f
FL(to)i(in)m(v)n(ok)o(e)f(the)h(multi-constraint)e(partitioning)g
(routines)0 4211 y(whene)n(v)o(er)c(the)i(input)g(graph)e(\002le)j
(speci\002es)g(more)e(that)h(one)g(set)h(of)f(v)o(erte)o(x)f(weights.)
30 b(Comparing)21 b(the)h(output)f(of)g(Figure)h(4)g(to)g(that)0
4321 y(of)c(Figure)f(3)h(we)g(see)h(that)f(when)f Fp(pmetis)h
FL(and)f Fp(kmetis)h FL(operate)e(in)j(the)f(multi-constraint)d(mode)i
(the)o(y)h(display)f(some)h(additional)0 4430 y(information)d(re)o
(garding)g(the)j(number)e(of)i(constraints)f(and)h(also)g(the)g
(balance)f(of)g(the)h(computed)e(partitioning)g(with)i(respect)g(to)g
(each)0 4540 y(one)j(of)h(these)g(constraints.)28 b(In)22
b(this)g(e)o(xample,)f Fp(pmetis)g FL(w)o(as)h(able)g(to)g(balance)f
(the)g(three)h(constraints)f(within)g(1\045,)h(3\045,)g(and)g(2\045,)0
4649 y(respecti)n(v)o(ely)-5 b(.)22 b(Note)c(that)g(for)g
(multi-constraint)e(partitioning,)g(for)h(small)i(number)d(of)i
(partitions)f Fp(pmetis)h FL(outperforms)d Fp(kmetis)0
4759 y FL(in)20 b(terms)h(of)f(partitioning)e(quality)-5
b(.)24 b(Ho)n(we)n(v)o(er)m(,)18 b(for)i(lar)o(ger)f(number)f(of)i
(partitions)g Fp(kmetis)g FL(achie)n(v)o(es)f(better)h(quality)f(and)h
(is)h(more)0 4869 y(rob)n(ust)f(in)g(simultaneously)f(balancing)f(the)i
(v)n(arious)f(constraints.)p 0 5031 1560 4 v 87 5091
a Fm(1)120 5115 y FF(F)o(or)d(a)h Fk(k)k FF(w)o(ay)c(partition)j(of)c
(a)h(graph)h(with)f Fk(n)j FF(v)o(ertices,)f(let)e Fk(m)k
FF(be)c(the)g(size)h(of)f(the)g(lar)o(gest)h(part)g(produced)g(by)f
(the)h Fk(k)5 b FF(-w)o(ay)17 b(partitioning)j(algorithm.)j(The)16
b(balance)0 5194 y(of)i(the)h(partitioning)i(is)d(de\002ned)h(as)f
Fk(k)5 b(m)t Fl(=)t Fk(n)s FF(,)17 b(and)i(is)f(essentially)j(the)d
(load)h(imbalance)i(induced)f(by)e(non-equal)i(partitions.)26
b Fj(pmetis)17 b FF(produces)i(partitions)i(that)e(are)0
5273 y(perfectly)h(balanced)g(at)d(each)i(bisection)g(le)n(v)o(el,)g
(ho)n(we)n(v)o(er)m(,)g(some)e(small)h(load)g(imbalance)i(may)d(result)
h(due)g(to)g(the)f(log)12 b Fk(k)22 b FF(le)n(v)o(els)d(of)e(recursi)n
(v)o(e)i(bisection.)24 b(In)17 b(general,)0 5352 y(the)g(load)g
(imbalance)h(is)e(less)h(than)f(1\045.)21 b Fj(kmetis)15
b FF(produces)i(partitions)i(that)e(are)f(not)h(perfectly)i(balanced,)f
(b)o(ut)e(the)h(algorithm)h(limits)f(the)g(load)g(imbalance)h(to)f
(3\045.)1929 5649 y FL(8)p eop
%%Page: 9 9
9 8 bop 478 90 a Fi(')p 478 2466 7 2214 v 478 2635 a(&)3415
90 y($)p 3415 2466 V 3415 2635 a(\045)p 648 2635 2605
7 v 648 90 V 590 159 a Fj(prompt\045)39 b(pmetis)f(brack2.graph)h(100)
590 237 y(******************************************)o(*******)o
(******)o(*******)o(*******)o(*)669 316 y(METIS)h(4.0)119
b(Copyright)38 b(1998,)h(Regents)g(of)h(the)f(University)f(of)i
(Minnesota)590 474 y(Graph)f(Information)f
(--------------------------------------------)o(-------)669
553 y(Name:)i(brack2.graph,)d(#Vertices:)i(62631,)g(#Edges:)g(366559,)f
(#Parts:)h(100)590 711 y(Recursive)f(Partitioning...)g
(-------------------------------------------)669 790
y(100-way)h(Edge-Cut:)118 b(37494,)39 b(Balance:)79 b(1.00)590
947 y(Timing)39 b(Information)f
(-------------------------------------------)o(-------)669
1026 y(I/O:)1155 b(0.820)669 1105 y(Partitioning:)795
b(6.110)119 b(\(PMETIS)39 b(time\))669 1184 y(Total:)1075
b(6.940)590 1263 y(******************************************)o
(*******)o(******)o(*******)o(*******)o(*)590 1421 y(prompt\045)39
b(kmetis)f(brack2.graph)h(100)590 1499 y
(******************************************)o(*******)o(******)o
(*******)o(*******)o(*)669 1578 y(METIS)h(4.0)119 b(Copyright)38
b(1998,)h(Regents)g(of)h(the)f(University)f(of)i(Minnesota)590
1736 y(Graph)f(Information)f
(--------------------------------------------)o(-------)669
1815 y(Name:)i(brack2.graph,)d(#Vertices:)i(62631,)g(#Edges:)g(366559,)
f(#Parts:)h(100)590 1973 y(K-way)g(Partitioning...)e
(-----------------------------------------------)669
2052 y(100-way)i(Edge-Cut:)118 b(37310,)39 b(Balance:)79
b(1.03)590 2209 y(Timing)39 b(Information)f
(-------------------------------------------)o(-------)669
2288 y(I/O:)1155 b(0.820)669 2367 y(Partitioning:)795
b(1.750)119 b(\(KMETIS)39 b(time\))669 2446 y(Total:)1075
b(2.570)590 2525 y(******************************************)o
(*******)o(******)o(*******)o(*******)o(*)546 2871 y
Fy(Figure)18 b(3)p FL(:)25 b Fx(Output)19 b(of)f Fp(pmetis)g
Fx(and)h Fp(kmetis)e Fx(f)n(or)i(g)o(r)o(aph)g Fh(br)o(ac)n(k2.g)o(r)o
(aph)g Fx(and)f(a)h(100-w)o(a)n(y)g(par)s(tition.)0 3055
y Fr(4.2)100 b(Mesh)28 b(P)m(ar)r(titioning)g(Pr)n(ograms)2
3214 y Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)34 b FL(pro)o(vides)28
b(tw)o(o)i(programs)d Fp(partnmesh)i FL(and)g Fp(partdmesh)f
FL(for)h(partitioning)f(meshes)h(\()p Fs(e)o(.g)o FL(.,)j(those)d
(arising)h(in)f(\002nite)0 3324 y(element)20 b(or)g(\002nite)g(v)n
(olume)g(methods\))e(into)j Ft(k)k FL(equal)20 b(size)h(parts.)k(These)
20 b(programs)f(tak)o(e)h(as)h(input)f(the)g(element)g(node)f(array)h
(of)g(the)0 3434 y(mesh)i(and)f(compute)f(a)j(partitioning)c(for)j
(both)f(its)h(elements)g(and)f(its)i(nodes.)31 b Fz(M)l
FG(E)-17 b Fz(T)g FG(I)p Fz(S)26 b FL(currently)21 b(supports)f(four)h
(dif)n(ferent)f(types)i(of)0 3543 y(mesh)e(elements)g(which)g(are)g
(triangles,)f(tetrahedra,)g(he)o(xahedra)e(\(bricks\),)i(and)h
(quadrilaterals.)100 3653 y(These)j(programs)f(\002rst)j(con)m(v)o(ert)
c(the)j(mesh)g(into)f(a)h(graph,)f(and)h(then)f(use)h
Fp(kmetis)f FL(to)h(partition)f(this)h(graph.)34 b(The)24
b(dif)n(ference)0 3762 y(between)g(these)h(tw)o(o)g(programs)e(is)j
(that)f Fp(partnmesh)f FL(con)m(v)o(erts)f(the)i(mesh)g(into)f(a)i
(nodal)e(graph)f(\()p Fs(i.e)p FL(.,)j(each)e(node)g(of)h(the)g(mesh)0
3872 y(becomes)17 b(a)h(v)o(erte)o(x)f(of)g(the)h(graph\),)e(whereas)i
Fp(partdmesh)f FL(con)m(v)o(erts)f(the)i(mesh)f(into)h(a)g(dual)g
(graph)e(\()p Fs(i.e)o FL(.,)j(each)e(element)h(becomes)0
3981 y(a)f(v)o(erte)o(x)f(of)h(the)g(graph\).)22 b(In)17
b(the)g(case)g(of)g Fp(partnmesh)p FL(,)g(the)g(partitioning)e(of)i
(the)g(nodal)f(graph)f(is)j(used)f(to)g(deri)n(v)o(e)f(a)i
(partitioning)d(of)0 4091 y(the)h(elements.)23 b(In)16
b(the)g(case)g(of)f Fp(partdmesh)p FL(,)h(the)g(partitioning)e(of)h
(the)h(dual)f(graph)g(is)i(used)e(to)h(deri)n(v)o(e)f(a)h(partitioning)
e(of)i(the)g(nodes.)0 4201 y(Both)21 b(of)f(these)h(programs)e(produce)
f(partitioning)h(of)h(comparable)f(quality)-5 b(,)19
b(with)i Fp(partnmesh)e FL(being)h(considerably)e(f)o(aster)j(than)0
4310 y Fp(partdmesh)p FL(.)41 b(Ho)n(we)n(v)o(er)m(,)25
b(in)h(some)g(cases,)h Fp(partnmesh)e FL(may)g(produce)f(partitions)h
(that)h(ha)n(v)o(e)g(higher)e(load)h(imbalance)g(than)0
4420 y Fp(partdmesh)p FL(.)100 4529 y(Both)20 b Fp(partnmesh)f
FL(and)h Fp(partdmesh)f FL(are)h(in)m(v)n(ok)o(ed)e(by)i(pro)o(viding)d
(tw)o(o)k(ar)o(guments)d(at)j(the)f(command)e(line)i(as)h(follo)n(ws:)
257 4722 y FB(par)r(tnmesh)124 b Fs(MeshF)l(ile)g(Nparts)257
4832 y FB(par)r(tdmesh)g Fs(MeshF)l(ile)g(Nparts)100
5024 y FL(The)15 b(\002rst)i(ar)o(gument)c Fs(MeshF)l(ile)p
FL(,)k(is)g(the)f(name)f(of)g(the)h(\002le)h(that)e(stores)i(the)e
(mesh)h(\(whose)f(format)g(is)i(described)d(in)i(Section)g(4.5.2\),)0
5134 y(while)h(the)f(second)g(ar)o(gument)e Fs(Nparts)p
FL(,)j(is)h(the)e(number)f(of)h(partitions)g(that)g(is)i(desired.)23
b(Both)16 b Fp(partnmesh)g FL(and)f Fp(partdmesh)h FL(can)0
5243 y(partition)24 b(a)i(mesh)f(into)g(an)g(arbitrary)e(number)h(of)h
(partitions.)39 b(Upon)24 b(successful)h(e)o(x)o(ecution,)f(both)g
(programs)f(display)i(statistics)0 5353 y(re)o(garding)h(the)j(quality)
g(of)g(the)g(computed)e(partitioning)g(and)i(the)g(amount)f(of)h(time)g
(tak)o(en)g(to)h(perform)d(the)i(partitioning.)50 b(The)1929
5649 y(9)p eop
%%Page: 10 10
10 9 bop 478 90 a Fi(')p 478 2624 7 2372 v 478 2793 a(&)3415
90 y($)p 3415 2624 V 3415 2793 a(\045)p 648 2793 2605
7 v 648 90 V 590 159 a Fj(prompt\045)39 b(pmetis)f(m14.graph3)h(16)590
237 y(******************************************)o(*******)o(******)o
(*******)o(*******)o(*)669 316 y(METIS)h(4.0)119 b(Copyright)38
b(1998,)h(Regents)g(of)h(the)f(University)f(of)i(Minnesota)590
474 y(Graph)f(Information)f
(--------------------------------------------)o(-------)669
553 y(Name:)i(m14.graph3,)e(#Vertices:)g(214765,)h(#Edges:)g(1679018,)f
(#Parts:)h(16)669 632 y(Balancing)g(Constraints:)f(3)590
790 y(Recursive)g(Partitioning...)g
(-------------------------------------------)669 868
y(16-way)h(Edge-Cut:)119 b(74454,)39 b(Balance:)78 b(1.01)h(1.03)g
(1.02)590 1026 y(Timing)39 b(Information)f
(-------------------------------------------)o(-------)669
1105 y(I/O:)1155 b(4.310)669 1184 y(Partitioning:)756
b(28.410)118 b(\(PMETIS)39 b(time\))669 1263 y(Total:)1036
b(32.830)590 1342 y(******************************************)o
(*******)o(******)o(*******)o(*******)o(*)590 1499 y(prompt\045)39
b(kmetis)f(m14.graph3)h(16)590 1578 y
(******************************************)o(*******)o(******)o
(*******)o(*******)o(*)669 1657 y(METIS)h(4.0)119 b(Copyright)38
b(1998,)h(Regents)g(of)h(the)f(University)f(of)i(Minnesota)590
1815 y(Graph)f(Information)f
(--------------------------------------------)o(-------)669
1894 y(Name:)i(m14.graph3,)e(#Vertices:)g(214765,)h(#Edges:)g(1679018,)
f(#Parts:)h(16)669 1973 y(Balancing)g(Constraints:)f(3)590
2130 y(K-way)h(Partitioning...)e
(-----------------------------------------------)669
2209 y(16-way)i(Edge-Cut:)119 b(71410,)39 b(Balance:)78
b(1.04)h(1.04)g(1.04)590 2367 y(Timing)39 b(Information)f
(-------------------------------------------)o(-------)669
2446 y(I/O:)1155 b(4.020)669 2525 y(Partitioning:)795
b(7.430)119 b(\(KMETIS)39 b(time\))669 2604 y(Total:)1036
b(11.550)590 2682 y(******************************************)o
(*******)o(******)o(*******)o(*******)o(*)172 3028 y
Fy(Figure)18 b(4)p FL(:)26 b Fx(Output)18 b(of)h Fp(pmetis)f
Fx(and)g Fp(kmetis)g Fx(f)n(or)h(a)f(m)o(ulti-constr)o(aint)h(g)o(r)o
(aph)f(with)h(three)g(constr)o(aints)f(and)h(a)f(16-w)o(a)n(y)h(par)s
(tition.)0 3213 y FL(actual)f(partitioning)f(is)j(stored)e(in)h(tw)o(o)
g(\002les)g(named:)24 b Fo(MeshF)m(ile.npart.Nparts)18
b FL(which)g(stores)h(the)f(partitioning)f(of)h(the)h(nodes,)f(and)0
3322 y Fo(MeshF)m(ile.epart.Nparts)j FL(which)f(stores)i(the)f
(partitioning)f(of)h(the)g(elements.)28 b(The)21 b(format)f(of)i(the)f
(partitioning)e(\002les)k(is)f(described)0 3432 y(in)e(Section)g
(4.6.1.)100 3541 y(Figure)d(5)g(sho)n(ws)h(the)g(output)e(of)h
Fp(partnmesh)g FL(and)g Fp(partdmesh)f FL(for)h(partitioning)f(a)i
(mesh)f(with)h(tetrahedron)d(elements)j(into)0 3651 y(100)h(parts.)25
b(From)20 b(this)h(\002gure)e(we)i(see)f(that)h(both)e(programs)f
(initially)j(print)e(information)f(about)h(the)h(mesh,)g(such)g(as)h
(its)g(name,)f(the)0 3761 y(number)d(of)i(elements)f(\()p
Fs(#Elements)p FL(\),)g(the)h(number)e(of)h(nodes)g(\()p
Fs(#Nodes)p FL(\),)g(and)g(the)h(type)g(of)f(elements)h(\()p
Fs(e)o(.g)n FL(.,)h Fs(TET)p FL(\).)e(Ne)o(xt,)h(the)o(y)f(print)0
3870 y(some)27 b(information)d(re)o(garding)g(the)j(quality)f(of)h(the)
f(partitioning.)43 b(Speci\002cally)-5 b(,)28 b(the)o(y)e(report)g(the)
h(number)e(of)h(edges)h(being)f(cut)0 3980 y(\()p Fs(Edg)o(e-Cut)p
FL(\))21 b(by)h(the)h(partitioning)1017 3950 y Fn(2)1050
3980 y FL(,)h(as)g(well)f(as)h(the)e(balance)g(of)h(the)g
(partitioning.)31 b(F)o(or)22 b(both)g Fp(partnmesh)g
FL(and)g Fp(partdmesh)p FL(,)0 4089 y(the)h(balance)e(is)j(computed)c
(with)j(respect)f(to)h(the)f(number)f(of)h(elements.)32
b(The)22 b(balance)g(with)g(respect)h(to)f(the)h(number)e(of)h(nodes)g
(is)0 4199 y(not)e(sho)n(wn,)f(b)n(ut)h(it)h(is)g(in)g(general)e
(similar)h(to)g(the)h(element)e(balance.)100 4309 y(Finally)-5
b(,)20 b(both)h Fp(partnmesh)f FL(and)g Fp(partdmesh)g
FL(sho)n(w)h(the)g(time)h(that)f(w)o(as)h(tak)o(en)e(by)h(the)g(v)n
(arious)f(phases)h(of)g(the)g(algorithm.)0 4418 y(All)k(times)h(are)e
(in)h(seconds.)38 b(In)25 b(this)g(particular)f(e)o(xample,)g(it)h
(took)f Fp(partnmesh)g FL(23.370)f(seconds)h(to)h(partition)e(the)i
(mesh)g(into)0 4528 y(100)17 b(parts.)25 b(Note)18 b(that)g(this)h
(time)f(includes)g(the)g(time)g(required)f(both)g(to)i(construct)e(the)
h(nodal)f(graph)g(and)h(to)g(partition)g(it.)25 b(Similarly)-5
b(,)0 4637 y(it)24 b(took)f Fp(partdmesh)g FL(74.560)e(seconds)i(to)h
(partition)e(the)i(same)g(mesh.)35 b(Again,)23 b(this)h(time)g
(includes)f(the)g(time)h(required)e(both)g(to)0 4747
y(construct)j(the)h(dual)g(graph)e(and)i(to)g(partition)f(it.)43
b(As)27 b(you)f(can)f(see)i(from)e(this)i(e)o(xample,)f
Fp(partnmesh)f FL(is)i(considerably)c(f)o(aster)0 4857
y(than)g Fp(partdmesh)p FL(.)32 b(This)23 b(is)h(because)e(of)h(tw)o(o)
g(reasons:)31 b(\(i\))23 b(the)g(time)g(required)e(to)i(construct)f
(the)h(nodal)f(graph)g(is)i(smaller)f(than)0 4966 y(the)d(time)h
(required)d(to)i(construct)f(the)i(dual)e(graph;)g(\(ii\))h(the)h
(nodal)e(graph)g(is)i(smaller)f(than)g(the)g(dual)g(graph.)p
0 5129 1560 4 v 87 5189 a Fm(2)120 5213 y FF(The)15 b(edgecut)j(that)f
(is)f(reported)i(by)e Fj(partnmesh)e FF(is)h(that)i(of)f(the)h(nodal)g
(graph,)f(whereas)h(the)g(edgecut)h(reported)f(by)f Fj(partdmesh)e
FF(is)i(that)h(of)f(the)g(dual)h(graph.)0 5292 y(These)g(tw)o(o)h
(edgecuts)h(cannot)f(be)g(compared)g(with)g(each)g(other)m(,)g(as)f
(the)o(y)h(correspond)h(to)e(partitionings)k(of)16 b(tw)o(o)i(totally)h
(dif)n(ferent)h(graphs.)1908 5649 y FL(10)p eop
%%Page: 11 11
11 10 bop -18 83 a FB(Note)41 b FL(If)23 b(you)g(need)h(to)g(compute)e
(multiple)h(partitionings)g(of)g(the)h(same)g(mesh,)h(it)g(may)e(be)h
(preferable)e(to)i(\002rst)h(use)f(one)f(of)208 193 y(the)18
b(mesh)f(con)m(v)o(ersion)f(programs)g(described)h(in)h(Section)f(4.4)h
(to)g(\002rst)h(con)m(v)o(ert)d(the)i(mesh)g(into)f(a)i(graph,)e(and)g
(then)h(use)208 302 y Fp(kmetis)h FL(to)i(partition)e(it.)25
b(By)c(doing)e(this,)h(you)g(pay)f(the)h(cost)h(of)f(con)m(v)o(erting)d
(the)j(mesh)g(into)g(a)h(graph)e(only)g(once.)478 555
y Fi(')p 478 2772 7 2054 v 478 2941 a(&)3415 555 y($)p
3415 2772 V 3415 2941 a(\045)p 648 2941 2605 7 v 648
555 V 590 622 a Fj(prompt\045)39 b(partnmesh)f(144.mesh)h(100)590
701 y(******************************************)o(*******)o(******)o
(*******)o(*******)o(*)669 780 y(METIS)h(4.0)119 b(Copyright)38
b(1998,)h(Regents)g(of)h(the)f(University)f(of)i(Minnesota)590
938 y(Mesh)f(Information)f
(---------------------------------------------)o(-------)669
1016 y(Name:)i(144.mesh,)e(#Elements:)g(905410,)h(#Nodes:)g(144649,)g
(Etype:)g(TET)590 1174 y(Partitioning)f(Nodal)h(Graph...)g
(-----------------------------------------)669 1253 y(100-way)g
(Edge-Cut:)79 b(105207,)38 b(Balance:)79 b(1.03)590 1411
y(Timing)39 b(Information)f
(-------------------------------------------)o(-------)669
1490 y(I/O:)1116 b(13.210)669 1569 y(Partitioning:)795
b(7.950)590 1647 y(******************************************)o
(*******)o(******)o(*******)o(*******)o(*)590 1805 y(prompt\045)39
b(partdmesh)f(144.mesh)h(100)590 1884 y
(******************************************)o(*******)o(******)o
(*******)o(*******)o(*)669 1963 y(METIS)h(4.0)119 b(Copyright)38
b(1998,)h(Regents)g(of)h(the)f(University)f(of)i(Minnesota)590
2121 y(Mesh)f(Information)f
(---------------------------------------------)o(-------)669
2199 y(Name:)i(144.mesh,)e(#Elements:)g(905410,)h(#Nodes:)g(144649,)g
(Etype:)g(TET)590 2357 y(Partitioning)f(Dual)h(Graph...)g
(------------------------------------------)669 2436
y(100-way)g(Edge-Cut:)118 b(52474,)39 b(Balance:)79 b(1.03)590
2594 y(Timing)39 b(Information)f
(-------------------------------------------)o(-------)669
2673 y(I/O:)1116 b(11.540)669 2752 y(Partitioning:)756
b(28.220)590 2830 y(******************************************)o
(*******)o(******)o(*******)o(*******)o(*)447 3176 y
Fy(Figure)18 b(5)p FL(:)25 b Fx(Output)19 b(of)f Fp(partnmesh)f
Fx(and)i Fp(partdmesh)e Fx(f)n(or)i(mesh)f Fh(144.mesh)h
Fx(and)g(a)f(100-w)o(a)n(y)h(par)s(tition.)0 3491 y Fr(4.3)100
b(Spar)o(se)29 b(Matrix)f(Reor)n(dering)f(Pr)n(ograms)102
3647 y Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)27 b FL(pro)o(vides)20
b(tw)o(o)j(programs)e Fp(oemetis)h FL(and)g Fp(onmetis)g
FL(for)g(computing)e(\002ll-reducing)h(orderings)g(of)h(sparse)h
(matrices.)0 3756 y(Both)d(of)f(these)h(programs)d(use)j(multile)n(v)o
(el)e(nested)i(dissection)f(to)h(compute)e(a)i(\002ll-reducing)d
(ordering)g([8].)25 b(The)19 b(nested)g(dissection)0
3866 y(paradigm)k(is)j(based)f(on)f(computing)f(a)i(v)o(erte)o
(x-separator)d(for)i(the)h(the)g(graph)e(corresponding)f(to)j(the)g
(matrix.)39 b(The)24 b(nodes)g(in)i(the)0 3975 y(separator)18
b(are)i(mo)o(v)o(ed)d(to)j(the)f(end)g(of)h(the)f(matrix,)g(and)g(a)h
(similar)f(process)g(is)i(applied)d(recursi)n(v)o(ely)g(for)h(each)g
(one)g(of)g(the)h(other)e(tw)o(o)0 4085 y(parts.)100
4195 y(Ev)o(en)j(though)f(both)h(programs)f(are)i(based)g(on)g(multile)
n(v)o(el)f(nested)h(dissection,)f(the)o(y)h(dif)n(fer)f(on)g(ho)n(w)h
(the)o(y)f(compute)g(the)h(v)o(erte)o(x)0 4304 y(separators.)38
b(The)24 b Fp(oemetis)g FL(program)f(\002nds)i(a)g(v)o(erte)o(x)e
(separator)h(by)g(\002rst)h(computing)e(an)i(edge)f(separator)f(using)h
(a)i(multile)n(v)o(el)0 4414 y(algorithm,)f(whereas)f(the)h
Fp(onmetis)g FL(program)e(uses)j(the)f(multile)n(v)o(el)f(paradigm)f
(to)i(directly)g(\002nd)g(a)g(v)o(erte)o(x)f(separator)-5
b(.)39 b(The)25 b(or)n(-)0 4523 y(derings)20 b(produced)f(by)i
Fp(onmetis)f FL(generally)g(incur)g(less)j(\002ll)f(than)f(those)g
(produced)d(by)j Fp(oemetis)p FL(.)28 b(In)20 b(particular)m(,)g(for)h
(matrices)0 4633 y(arising)g(in)g(linear)g(programming)d(problems)i
(the)h(orderings)f(computed)f(by)i Fp(onmetis)f FL(are)h
(signi\002cantly)g(better)g(than)g(those)g(pro-)0 4742
y(duced)f(by)g Fp(oemetis)p FL(.)26 b(Furthermore,)18
b Fp(onmetis)i FL(utilizes)i(compression)d(techniques)g(to)i(reduce)f
(the)g(size)i(of)e(the)h(graph)f(prior)f(to)0 4852 y(computing)f(the)j
(ordering.)j(Sparse)c(matrices)g(arising)g(in)h(man)o(y)e(application)g
(domains)h(are)g(such)g(that)h(certain)f(ro)n(ws)g(of)h(the)f(matrix)0
4962 y(ha)n(v)o(e)27 b(the)g(same)g(sparsity)g(pattern.)45
b(Such)27 b(matrices)g(can)g(be)g(represented)e(by)i(a)h(much)e
(smaller)h(graph)f(in)h(which)g(all)g(ro)n(ws)g(with)0
5071 y(identical)d(sparsity)g(pattern)g(are)g(represented)f(by)h(just)h
(a)g(single)g(v)o(erte)o(x)e(whose)h(weight)g(is)h(equal)f(to)h(the)f
(number)f(of)h(ro)n(ws.)38 b(Such)0 5181 y(compression)21
b(techniques)g(can)h(signi\002cantly)g(reduce)f(the)i(size)g(of)g(the)f
(graph,)g(whene)n(v)o(er)e(applicable,)i(and)g(substantially)g(reduce)0
5290 y(the)k(amount)f(of)g(time)i(required)d(by)h Fp(onmetis)p
FL(.)42 b(Ho)n(we)n(v)o(er)m(,)25 b(when)h(there)f(is)i(no)f(reduction)
e(in)i(graph)e(size,)k Fp(oemetis)e FL(is)h(about)0 5400
y(20\045)19 b(to)h(30\045)f(f)o(aster)g(than)g Fp(onmetis)p
FL(.)24 b(Furthermore,)17 b(for)i(lar)o(ge)f(matrices)h(arising)g(in)h
(three-dimensional)c(problems,)i(the)h(quality)1908 5649
y(11)p eop
%%Page: 12 12
12 11 bop 478 7 a Fi(')p 478 2541 7 2372 v 478 2710 a(&)3415
7 y($)p 3415 2541 V 3415 2710 a(\045)p 648 2710 2605
7 v 648 7 V 590 76 a Fj(prompt\045)39 b(oemetis)f(bcsstk31.graph)590
154 y(******************************************)o(*******)o(******)o
(*******)o(*******)o(*)669 233 y(METIS)i(4.0)119 b(Copyright)38
b(1998,)h(Regents)g(of)h(the)f(University)f(of)i(Minnesota)590
391 y(Graph)f(Information)f
(--------------------------------------------)o(-------)669
470 y(Name:)i(bcsstk31.graph,)d(#Vertices:)h(35588,)h(#Edges:)g(572914)
590 628 y(Edge-Based)f(Ordering...)g
(----------------------------------------------)669 707
y(Nonzeros:)h(4693428,)158 b(Operation)39 b(Count:)g(1.4356e+09)590
864 y(Timing)g(Information)f
(-------------------------------------------)o(-------)669
943 y(I/O:)1155 b(1.160)669 1022 y(Ordering:)955 b(7.380)119
b(\(OEMETIS)39 b(time\))669 1101 y(Symbolic)g(Factorization:)396
b(0.440)669 1180 y(Total:)1075 b(8.980)590 1259 y
(******************************************)o(*******)o(******)o
(*******)o(*******)o(*)590 1416 y(prompt\045)39 b(onmetis)f
(bcsstk31.graph)590 1495 y(******************************************)o
(*******)o(******)o(*******)o(*******)o(*)669 1574 y(METIS)i(4.0)119
b(Copyright)38 b(1998,)h(Regents)g(of)h(the)f(University)f(of)i
(Minnesota)590 1732 y(Graph)f(Information)f
(--------------------------------------------)o(-------)669
1811 y(Name:)i(bcsstk31.graph,)d(#Vertices:)h(35588,)h(#Edges:)g
(572914)590 1968 y(Node-Based)f(Ordering...)g
(----------------------------------------------)669 2047
y(Nonzeros:)h(4330669,)158 b(Operation)39 b(Count:)g(1.1564e+09)590
2205 y(Timing)g(Information)f
(-------------------------------------------)o(-------)669
2284 y(I/O:)1155 b(1.080)669 2363 y(Ordering:)955 b(4.540)119
b(\(ONMETIS)39 b(time\))669 2442 y(Symbolic)g(Factorization:)396
b(0.440)669 2521 y(Total:)1075 b(6.060)590 2599 y
(******************************************)o(*******)o(******)o
(*******)o(*******)o(*)826 2945 y Fy(Figure)18 b(6)p
FL(:)25 b Fx(Output)19 b(of)f Fp(oemetis)g Fx(and)g Fp(onmetis)g
Fx(f)n(or)g(g)o(r)o(aph)h Fh(bcsstk31.g)o(r)o(aph)q Fx(.)0
3130 y FL(of)h(orderings)e(produced)g(by)i(the)g(tw)o(o)g(algorithms)f
(is)i(quite)f(similar)-5 b(.)100 3239 y(Both)20 b Fp(oemetis)f
FL(and)h Fp(onmetis)f FL(are)i(in)m(v)n(ok)o(ed)d(by)i(pro)o(viding)d
(one)j(ar)o(gument)e(at)i(the)g(command)f(line)h(as)h(follo)n(ws:)257
3432 y FB(oemetis)124 b Fs(Gr)o(aphF)l(ile)257 3541 y
FB(onmetis)119 b Fs(Gr)o(aphF)l(ile)100 3734 y FL(The)23
b(only)f(ar)o(gument)f(of)i(these)h(programs)d Fs(Gr)o(aphF)l(ile)p
FL(,)i(is)i(the)e(name)g(of)g(the)g(\002le)h(that)g(stores)g(the)f
(sparse)g(matrix)g(in)h(the)f(graph)0 3844 y(format)g(described)g(in)h
(Section)f(4.5.1.)35 b(Upon)24 b(successful)f(e)o(x)o(ecution,)g(both)g
(programs)f(display)i(statistics)h(re)o(garding)c(the)j(quality)0
3953 y(of)19 b(the)f(computed)f(orderings)g(and)h(the)h(amount)e(of)i
(time)g(tak)o(en)f(to)h(perform)e(the)i(ordering.)j(The)d(actual)f
(ordering)f(is)i(stored)g(in)g(a)g(\002le)0 4063 y(named)g
Fo(GraphF)m(ile.iperm)p FL(,)g(whose)h(format)f(is)i(described)e(in)i
(Section)e(4.6.2.)100 4172 y(Figure)i(6)g(sho)n(ws)h(the)g(output)e(of)
h Fp(oemetis)g FL(and)g Fp(onmetis)g FL(for)g(computing)f(a)i
(\002ll-reducing)d(ordering)h(of)h(a)h(sample)f(matrix.)0
4282 y(From)i(this)h(\002gure)f(we)h(see)g(that)f(both)g(programs)f
(initially)h(print)g(information)e(about)i(the)g(graph,)g(such)h(as)g
(its)g(name,)g(the)f(number)0 4392 y(of)e(v)o(ertices)g(\()p
Fs(#V)-9 b(ertices)p FL(\),)20 b(and)g(the)i(number)d(of)i(edges)g(\()p
Fs(#Edg)o(es)p FL(\).)26 b(Ne)o(xt,)21 b(the)o(y)f(print)g(some)h
(information)e(re)o(garding)f(the)k(quality)e(of)0 4501
y(the)f(ordering.)k(Speci\002cally)-5 b(,)18 b(the)o(y)g(report)g(the)h
(number)f(of)g(non-zeros)f(that)j(are)f(required)e(in)i(the)g(lo)n(wer)
g(triangular)f(matrix,)g(and)h(the)0 4611 y(number)e(of)i(operations)e
(\()p Fs(OPC)p FL(\))i(required)e(to)i(f)o(actor)f(the)h(matrix)g
(using)f(Cholesk)o(y)g(f)o(actorization.)23 b(Note)c(that)g(number)e
(of)h(nonzeros)0 4720 y(includes)26 b(both)g(the)i(original)d
(non-zeros)g(and)i(the)g(ne)n(w)g(non-zeros)e(due)h(to)h(the)g(\002ll.)
46 b(Finally)-5 b(,)28 b(both)f Fp(oemetis)f FL(and)g
Fp(onmetis)0 4830 y FL(sho)n(w)h(the)g(time)h(that)f(w)o(as)h(tak)o(en)
f(by)g(the)g(v)n(arious)g(phases)g(of)g(the)g(algorithm.)45
b(All)28 b(times)g(are)f(in)g(seconds.)46 b(F)o(or)27
b(this)h(particular)0 4940 y(e)o(xample,)e Fp(oemetis)f
FL(tak)o(es)i(a)f(total)g(of)g(23.290)e(seconds,)j(of)f(which)f(17.760)
f(seconds)i(w)o(as)h(tak)o(en)e(by)h(the)g(ordering)e(algorithm)0
5049 y(itself.)41 b(F)o(or)25 b(the)g(same)h(e)o(xample)e
Fp(onmetis)g FL(tak)o(es)i(a)f(total)h(of)f(17.340)e(seconds,)j(of)f
(which)g(11.810)e(seconds)i(w)o(as)h(tak)o(en)f(by)g(the)0
5159 y(partitioning)d(algorithm)h(itself.)38 b(Note)24
b(that)g(in)h(this)g(case)f Fp(onmetis)g FL(is)h(f)o(aster)f(than)g
Fp(oemetis)p FL(,)g(because)g Fp(onmetis)g FL(w)o(as)h(able)0
5268 y(to)20 b(compress)g(the)g(matrix.)k(Also)d(note)e(that)i(the)f
(quality)f(of)h(the)g(\002ll-reducing)e(ordering)g(produced)g(by)i
Fp(onmetis)f FL(is)i(signi\002cantly)0 5378 y(better)j(than)g(that)g
(produced)e(by)i Fp(oemetis)p FL(.)37 b(In)24 b(f)o(act,)i(the)e
(ordering)e(produced)g(by)i Fp(onmetis)g FL(results)h(in)f(8\045)h(fe)n
(wer)f(non-zeros)1908 5649 y(12)p eop
%%Page: 13 13
13 12 bop 0 83 a FL(and)20 b(20\045)g(fe)n(wer)f(operations.)0
314 y Fr(4.4)100 b(A)m(uxiliar)q(y)28 b(Pr)n(ograms)0
470 y FB(4.4.1)84 b(Mesh)23 b(T)-7 b(o)23 b(Graph)f(Con)m(ver)o(sion)
478 593 y Fi(')p 478 2809 7 2054 v 478 2979 a(&)3415
593 y($)p 3415 2809 V 3415 2979 a(\045)p 648 2979 2605
7 v 648 593 V 590 660 a Fj(prompt\045)39 b(mesh2nodal)f(144.mesh)590
739 y(******************************************)o(*******)o(******)o
(*******)o(*******)o(*)669 818 y(METIS)i(4.0)119 b(Copyright)38
b(1998,)h(Regents)g(of)h(the)f(University)f(of)i(Minnesota)590
975 y(Mesh)f(Information)f
(---------------------------------------------)o(-------)669
1054 y(Name:)i(144.mesh,)e(#Elements:)g(905410,)h(#Nodes:)g(144649,)g
(Etype:)g(TET)590 1212 y(Forming)g(Nodal)g(Graph...)f
(----------------------------------------------)669 1291
y(Nodal)i(Information:)e(#Vertices:)g(144649,)h(#Edges:)g(1074393)590
1449 y(Timing)g(Information)f
(-------------------------------------------)o(-------)669
1527 y(I/O:)1116 b(15.290)669 1606 y(Nodal)40 b(Creation:)715
b(3.030)590 1685 y(******************************************)o
(*******)o(******)o(*******)o(*******)o(*)590 1843 y(prompt\045)39
b(mesh2dual)f(144.mesh)590 1922 y
(******************************************)o(*******)o(******)o
(*******)o(*******)o(*)669 2001 y(METIS)i(4.0)119 b(Copyright)38
b(1998,)h(Regents)g(of)h(the)f(University)f(of)i(Minnesota)590
2158 y(Mesh)f(Information)f
(---------------------------------------------)o(-------)669
2237 y(Name:)i(144.mesh,)e(#Elements:)g(905410,)h(#Nodes:)g(144649,)g
(Etype:)g(TET)590 2395 y(Forming)g(Dual)g(Graph...)f
(-----------------------------------------------)669
2474 y(Dual)i(Information:)e(#Vertices:)g(905410,)h(#Edges:)g(1786484)
590 2632 y(Timing)g(Information)f
(-------------------------------------------)o(-------)669
2710 y(I/O:)1116 b(19.200)669 2789 y(Dual)40 b(Creation:)716
b(10.880)590 2868 y(******************************************)o
(*******)o(******)o(*******)o(*******)o(*)785 3214 y
Fy(Figure)18 b(7)p FL(:)25 b Fx(Output)19 b(of)g Fp(mesh2nodal)e
Fx(and)h Fp(mesh2dual)f Fx(f)n(or)i(mesh)f Fh(144.mesh)q
Fx(.)102 3408 y Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)27
b FL(pro)o(vides)21 b(tw)o(o)j(programs)d Fp(mesh2nodal)h
FL(and)g Fp(mesh2dual)g FL(for)h(con)m(v)o(erting)d(a)j(mesh)g(into)g
(the)g(graph)f(format)g(used)0 3518 y(by)i Fz(M)l FG(E)-17
b Fz(T)g FG(I)p Fz(S)r FL(.)24 b(In)e(particular)m(,)f
Fp(mesh2nodal)g FL(con)m(v)o(erts)g(the)h(element)g(node)f(array)g(of)h
(a)h(mesh)f(into)g(a)h(nodal)e(graph;)h Fs(i.e)p FL(.,)h(each)f(node)0
3627 y(of)30 b(the)f(mesh)h(corresponds)e(to)i(a)g(v)o(erte)o(x)e(in)i
(the)g(graph)e(and)i(tw)o(o)g(v)o(ertices)f(are)h(connected)e(by)h(an)h
(edge)f(if)h(the)g(corresponding)0 3737 y(nodes)c(are)h(connected)d(by)
j(lines)g(in)g(the)f(mesh.)45 b(Similarly)-5 b(,)27 b
Fp(mesh2dual)f FL(con)m(v)o(erts)e(the)j(element)f(node)g(array)g(of)g
(a)h(mesh)g(into)0 3847 y(a)g(dual)f(graph;)i Fs(i.e)p
FL(.,)g(each)e(element)g(of)g(the)h(mesh)f(corresponds)f(to)h(a)h(v)o
(erte)o(x)e(in)i(the)f(graph)f(and)h(tw)o(o)h(v)o(ertices)f(are)h
(connected)d(if)0 3956 y(the)c(corresponding)d(elements)j(in)h(the)f
(mesh)h(share)f(a)h(f)o(ace.)k(These)c(mesh-to-graph)c(con)m(v)o
(ersion)g(programs)i(support)g(meshes)h(with)0 4066 y(triangular)m(,)e
(tetrahedra,)g(and)i(he)o(xahedra)e(\(bricks\))h(elements.)100
4175 y(Both)h Fp(mesh2nodal)f FL(and)g Fp(mesh2dual)g
FL(are)i(in)m(v)n(ok)o(ed)d(by)i(pro)o(viding)d(one)j(ar)o(gument)e(at)
i(the)h(command)d(line)i(as)h(follo)n(ws:)257 4349 y
FB(mesh2nodal)124 b Fs(MeshF)l(ile)257 4459 y FB(mesh2dual)175
b Fs(MeshF)l(ile)100 4633 y FL(The)30 b(only)h(ar)o(gument)d(of)j
(these)g(programs)e Fs(MeshF)l(ile)p FL(,)34 b(is)e(the)f(name)g(of)f
(the)h(\002le)h(that)f(stores)g(the)h(mesh)e(\(whose)h(format)f(is)0
4742 y(described)15 b(in)h(Section)g(4.5.2\).)22 b(Upon)15
b(successful)h(e)o(x)o(ecution,)f(both)g(programs)g(display)g
(information)f(about)h(the)h(generated)f(graphs,)0 4852
y(and)k(the)h(amount)f(of)g(time)h(tak)o(en)g(to)g(perform)e(the)i(con)
m(v)o(ersion.)i(The)e(actual)f(graph)g(is)i(stored)e(in)h(a)g(\002le)h
(named:)j Fo(MeshF)m(ile.ngraph)0 4962 y FL(in)g(the)g(case)g(of)f
Fp(mesh2nodal)f FL(and)i Fo(MeshF)m(ile.dgraph)e FL(in)i(the)g(case)g
(of)f Fp(mesh2dual)p FL(.)35 b(The)23 b(format)f(of)i(these)g(graph)e
(\002les)j(are)0 5071 y(compatible)19 b(with)j Fz(M)l
FG(E)-17 b Fz(T)g FG(I)p Fz(S)25 b FL(and)19 b(is)i(described)e(in)i
(Section)e(4.5.1.)100 5181 y(Figure)e(7)g(sho)n(ws)h(the)g(output)e(of)
i Fp(mesh2nodal)e FL(and)h Fp(mesh2dual)g FL(for)g(generating)f(the)h
(nodal)g(and)g(dual)h(graphs)e(of)i(a)g(sample)0 5290
y(mesh.)30 b(Note)22 b(that)g(the)g(sizes)h(of)e(the)h(generated)e
(graphs)h(are)h(dif)n(ferent,)e(as)j(the)f(dual)f(graph)g(is)i(lar)o
(ger)d(than)i(the)g(nodal)f(graph.)28 b(Also)0 5400 y(note)20
b(that)g(generating)e(the)i(nodal)g(graph)e(is)k(considerably)c(f)o
(aster)i(than)g(generating)e(the)i(dual)g(graph.)1908
5649 y(13)p eop
%%Page: 14 14
14 13 bop 0 83 a FB(4.4.2)84 b(Graph)22 b(Chec)n(ker)2
209 y Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)25 b FL(pro)o(vide)18
b(a)j(program)d(called)j Fp(graphchk)e FL(to)i(check)f(whether)f(or)h
(not)g(the)h(format)e(of)h(a)h(graph)e(is)j(appropriate)c(for)i(use)g
(with)2 319 y Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r
FL(.)24 b(This)e(program)e(should)h(be)h(used)g(whene)n(v)o(er)e(there)
i(is)h(an)o(y)e(doubt)f(about)i(the)g(format)f(of)g(an)o(y)h(graph)e
(\002le.)31 b(It)23 b(is)g(in)m(v)n(ok)o(ed)d(by)0 428
y(pro)o(viding)d(one)j(ar)o(gument)e(at)j(the)f(command)e(line)i(as)h
(follo)n(ws:)257 621 y FB(graphc)o(hk)124 b Fs(Gr)o(aphF)l(ile)0
814 y FL(where)20 b Fs(Gr)o(aphF)l(ile)f FL(is)i(the)f(name)g(of)g(the)
g(\002le)h(that)f(stores)g(the)h(graph.)1908 5649 y(14)p
eop
%%Page: 15 15
15 14 bop 0 83 a Fr(4.5)100 b(Input)27 b(File)h(Formats)0
242 y FL(The)d(v)n(arious)f(programs)g(in)k Fz(M)l FG(E)-17
b Fz(T)g FG(I)p Fz(S)29 b FL(require)24 b(as)i(input)f(either)g(a)h
(\002le)g(storing)f(a)h(graph)e(or)h(a)h(\002le)g(storing)e(a)i(mesh.)
40 b(The)26 b(format)e(of)0 352 y(these)c(\002les)i(are)e(described)f
(in)h(the)g(follo)n(wing)f(sections.)0 561 y FB(4.5.1)84
b(Graph)22 b(File)0 687 y FL(The)j(primary)f(input)g(of)i(the)f
(partitioning)e(and)i(\002ll-reducing)f(ordering)f(programs)g(in)28
b Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)30 b FL(is)c(the)f(graph)f(to)i
(be)f(partitioned)f(or)0 797 y(ordered.)f(This)d(graph)f(is)i(stored)f
(in)g(a)h(\002le)g(and)e(is)j(supplied)d(to)h(the)g(v)n(arious)f
(programs)g(as)i(one)e(of)h(the)g(command)f(line)h(parameters.)100
907 y(A)i(graph)h Ft(G)32 b FM(D)26 b Fu(.)r Ft(V)8 b
Fu(;)20 b Ft(E)7 b Fu(/)24 b FL(with)e Ft(n)k FL(v)o(ertices)c(and)f
Ft(m)28 b FL(edges)22 b(is)h(stored)f(in)g(a)h(plain)f(te)o(xt)g
(\002le)h(that)f(contains)f Ft(n)j FM(C)19 b FL(1)k(lines)f(\(e)o
(xcluding)0 1016 y(comment)i(lines\).)40 b(The)25 b(\002rst)h(line)f
(contains)g(information)e(about)h(the)h(size)h(and)f(the)g(type)g(of)g
(the)g(graph,)g(while)g(the)g(remaining)f Ft(n)0 1126
y FL(lines)d(contain)e(information)f(for)h(each)h(v)o(erte)o(x)f(of)j
Ft(G)5 b FL(.)25 b(An)o(y)19 b(line)i(that)f(starts)h(with)f(`\045')h
(is)g(a)f(comment)f(line)h(and)g(is)h(skipped.)100 1235
y(The)g(\002rst)h(line)f(contains)g(either)g(tw)o(o)h(\()p
Ft(n)s FL(,)g Ft(m)5 b FL(\),)21 b(three)g(\()p Ft(n)s
FL(,)h Ft(m)5 b FL(,)22 b Fs(fmt)p FL(\),)g(or)f(four)f(\()p
Ft(n)s FL(,)i Ft(m)5 b FL(,)22 b Fs(fmt)p FL(,)g Fs(ncon)p
FL(\))e(inte)o(gers.)28 b(The)21 b(\002rst)h(tw)o(o)f(inte)o(gers)0
1345 y(\()p Ft(n)s FL(,)f Ft(m)5 b FL(\))19 b(are)g(the)g(number)e(of)i
(v)o(ertices)f(and)h(the)g(number)e(of)i(edges,)g(respecti)n(v)o(ely)-5
b(.)22 b(Note)d(that)h(in)f(determining)e(the)i(number)e(of)i(edges)0
1455 y Ft(m)5 b FL(,)26 b(an)e(edge)g(between)g(an)o(y)f(pair)h(of)h(v)
o(ertices)f Fu(v)k FL(and)c Ft(u)29 b FL(is)d(counted)d
FC(only)h(once)g FL(and)g(not)g(twice)h(\()p Fs(i.e)p
FL(.,)g(we)g(do)f(not)g(count)g(the)g(edge)0 1564 y Fu(.v)s(;)14
b Ft(u)t Fu(/)22 b FL(separately)e(from)g Fu(.)p Ft(u)t
Fu(;)14 b(v)s(/)p FL(\).)28 b(F)o(or)20 b(e)o(xample,)f(the)i(graph)f
(in)h(Figure)f(8)g(contains)h(11)f(v)o(ertices.)26 b(The)21
b(third)f(inte)o(ger)f(\()p Fs(fmt)p FL(\))i(is)h(used)0
1674 y(to)h(specify)g(whether)f(or)h(not)g(the)g(graph)f(has)i(weights)
f(associated)g(with)g(its)h(v)o(ertices,)g(its)g(edges,)f(or)g(both.)33
b(T)-7 b(able)24 b(2)f(describes)g(the)0 1783 y(possible)i(v)n(alues)g
(of)h Fs(fmt)g FL(and)f(their)g(meaning.)40 b(Note)25
b(that)h(if)g(the)g(graph)e(is)i(unweighted)e(\()p Fs(i.e)o
FL(.,)j(all)f(v)o(ertices)f(and)g(edges)h(ha)n(v)o(e)f(the)0
1893 y(same)d(weight\),)f(then)h(the)f Fs(fmt)j FL(parameter)d(can)g
(be)h(omitted.)29 b(Finally)-5 b(,)22 b(the)g(fourth)e(inte)o(ger)h(\()
p Fs(ncon)p FL(\))f(is)j(used)e(to)h(specify)g(the)f(number)0
2003 y(of)e(weights)g(associated)f(with)i(each)e(v)o(erte)o(x)g(of)g
(the)h(graph.)24 b(The)18 b(v)n(alue)h(of)f(this)i(parameter)d
(determines)h(whether)g(or)h(not)i Fz(M)l FG(E)-17 b
Fz(T)g FG(I)p Fz(S)23 b FL(will)0 2112 y(use)e(the)f(multi-constraint)e
(partitioning)h(algorithms)g(described)g(in)i(Section)f(3.)26
b(If)20 b(the)g(v)o(ertices)g(of)g(the)h(graph)e(ha)n(v)o(e)h(no)g
(weights)g(or)0 2222 y(only)h(a)h(single)f(weight,)g(then)g(the)h
Fs(ncon)f FL(parameter)f(can)h(be)g(omitted.)29 b(Ho)n(we)n(v)o(er)m(,)
19 b(if)j Fs(ncon)f FL(is)h(greater)f(than)g(0,)h(then)f(the)g(\002le)i
(should)0 2331 y(contain)18 b(the)h(required)f(v)o(erte)o(x)g(weights)h
(and)f(the)h Fs(fmt)h FL(parameter)e(should)g(be)h(set)h(appropriately)
d(\()p Fs(i.e)o FL(.,)j(it)f(should)g(be)g(set)h(to)f(either)g(10)0
2441 y(or)h(11\).)p 590 2625 2721 4 v 588 2725 4 100
v 640 2695 a Fs(fmt)p 794 2725 V 99 w FL(Meaning)p 3309
2725 V 590 2728 2721 4 v 588 2828 4 100 v 672 2798 a(0)p
794 2828 V 131 w(The)g(graph)f(has)h(no)g(weights)g(associated)g(with)h
(either)e(the)i(edges)e(or)h(the)g(v)o(ertices)p 3309
2828 V 590 2831 2721 4 v 588 2930 4 100 v 672 2901 a(1)p
794 2930 V 131 w(The)g(graph)f(has)h(weights)g(associated)g(with)h(the)
f(edges)p 3309 2930 V 590 2934 2721 4 v 588 3033 4 100
v 651 3004 a(10)p 794 3033 V 110 w(The)g(graph)f(has)h(weights)g
(associated)g(with)h(the)f(v)o(ertices)p 3309 3033 V
590 3037 2721 4 v 588 3136 4 100 v 651 3106 a(11)p 794
3136 V 110 w(The)g(graph)f(has)h(weights)g(associated)g(with)h(both)e
(the)h(edges)g(&)g(v)o(ertices)p 3309 3136 V 590 3140
2721 4 v 776 3292 a Fy(T)-5 b(ab)o(le)17 b(2)p FL(:)26
b Fx(The)18 b(v)n(ar)q(ious)h(possib)o(le)f(v)n(alues)h(f)n(or)g(the)f
Fh(fmt)h Fx(par)o(ameter)e(and)i(their)f(meaning.)100
3571 y FL(The)f(remaining)g Ft(n)22 b FL(lines)c(store)h(information)c
(about)j(the)g(actual)g(structure)f(of)h(the)g(graph.)23
b(In)18 b(particular)m(,)f(the)g Ft(i)9 b FL(th)18 b(line)g(\(e)o
(xcluding)0 3680 y(comment)25 b(lines\))h(contains)f(information)f
(that)i(is)h(rele)n(v)n(ant)e(to)h(the)f Ft(i)9 b FL(th)26
b(v)o(erte)o(x.)41 b(Depending)24 b(on)i(the)g(v)n(alue)f(of)h(the)g
Fs(fmt)h FL(and)f Fs(ncon)0 3790 y FL(parameters,)d(the)h(information)e
(stored)h(at)h(each)g(line)g(is)h(some)n(what)e(dif)n(ferent.)34
b(In)23 b(the)h(most)g(general)f(form)g(\(when)g Fs(fmt)h(=)h(11)e
FL(and)0 3899 y Fs(ncon)c Fu(>)i Fs(1)p FL(\))f(each)f(line)i(will)g
(ha)n(v)o(e)e(the)h(follo)n(wing)f(structure:)1225 4100
y Fu(w)1286 4112 y Fn(1)1322 4100 y Fu(;)14 b(w)1424
4112 y Fn(2)1460 4100 y Fu(;)g(:)g(:)g(:)f(w)1672 4112
y Ff(n)r(c)q(o)q(n)1806 4100 y Fu(;)38 b(v)1911 4112
y Fn(1)1947 4100 y Fu(;)14 b Ft(e)2025 4112 y Fn(1)2061
4100 y Fu(;)g(v)2142 4112 y Fn(2)2178 4100 y Fu(;)g Ft(e)2256
4112 y Fn(2)2292 4100 y Fu(;)g(:)g(:)g(:)f(;)h(v)2524
4112 y Ff(k)2561 4100 y Fu(;)g Ft(e)2639 4112 y Ff(k)0
4301 y FL(where)20 b Fu(w)285 4313 y Fn(1)321 4301 y
Fu(;)14 b(w)423 4313 y Fn(2)459 4301 y Fu(;)g(:)g(:)g(:)f(;)h(w)712
4313 y Ff(n)r(c)q(o)q(n)869 4301 y FL(are)21 b(the)g
Fs(ncon)f FL(v)o(erte)o(x)f(weights)i(associated)g(with)g(this)h(v)o
(erte)o(x,)d Fu(v)2765 4313 y Fn(1)2801 4301 y Fu(;)14
b(v)2882 4313 y Fn(2)2919 4301 y Fu(;)g(:)g(:)g(:)f(;)h(v)3151
4313 y Ff(k)3210 4301 y FL(are)20 b(the)i(v)o(ertices)e(adja-)0
4411 y(cent)h(to)f(this)h(v)o(erte)o(x,)f(and)g Ft(e)812
4423 y Fn(1)847 4411 y Fu(;)14 b Ft(e)925 4423 y Fn(2)961
4411 y Fu(;)g(:)g(:)g(:)f(;)h Ft(e)1190 4423 y Ff(k)1248
4411 y FL(are)20 b(the)h(weights)f(of)h(these)g(edges.)k(In)c(the)f
(remaining)f(of)i(this)g(section)f(we)h(illustrate)g(this)0
4520 y(format)e(by)h(a)h(sequence)e(of)h(e)o(xamples.)k(Note)d(that)f
(the)g(v)o(ertices)g(are)g(numbered)e(starting)i(from)g(1)g(\(not)g
(from)f(0)h(as)h(is)h(often)d(done)g(in)0 4630 y(C\).)j(Furthermore,)d
(the)i(v)o(erte)o(x-weights)e(must)i(be)h(inte)o(gers)e(greater)h(or)g
(equal)g(to)g(0,)h(whereas)f(the)g(edge-weights)f(must)h(be)g(strictly)
0 4740 y(greater)e(than)h(0.)100 4849 y(The)k(simplest)g(format)g(for)f
(a)i(graph)g Ft(G)30 b FL(is)25 b(when)f(the)h(weight)e(of)i(all)f(v)o
(ertices)g(and)g(the)h(weight)f(of)g(all)h(the)f(edges)g(is)h(the)g
(same.)0 4959 y(This)20 b(format)f(is)j(illustrated)d(in)i(Figure)e
(8\(a\).)24 b(Note,)c(the)h(optional)d Fs(fmt)23 b FL(parameter)18
b(is)k(skipped)d(in)h(this)h(case.)100 5068 y(Ho)n(we)n(v)o(er)m(,)30
b(there)g(are)g(cases)h(in)f(which)g(the)g(edges)g(in)i
Ft(G)k FL(ha)n(v)o(e)30 b(dif)n(ferent)e(weights.)55
b(This)30 b(is)i(accommodated)27 b(as)k(sho)n(wn)e(in)0
5178 y(Figure)21 b(8\(b\).)30 b(No)n(w)-5 b(,)22 b(the)g(adjacenc)o(y)f
(list)i(of)f(each)f(v)o(erte)o(x)g(contains)h(the)g(weight)f(of)h(the)g
(edges)g(in)g(addition)f(to)i(the)f(v)o(ertices)f(that)i(is)0
5288 y(connected)18 b(with.)25 b(If)20 b Fu(v)25 b FL(has)20
b Ft(k)26 b FL(v)o(ertices)19 b(adjacent)g(to)i(it,)f(then)g(the)g
(line)g(for)g Fu(v)k FL(in)c(the)g(graph)f(\002le)i(contains)e(2)f
FM(\003)g Ft(k)26 b FL(numbers,)18 b(each)i(pair)0 5397
y(of)j(numbers)f(stores)i(the)f(v)o(erte)o(x)f(that)i
Fu(v)k FL(is)c(connected)e(to,)i(and)f(the)h(weight)f(of)g(the)g(edge.)
35 b(Note)23 b(that)h(the)f Fs(fmt)j FL(parameter)c(is)i(equal)1908
5649 y(15)p eop
%%Page: 16 16
16 15 bop 600 3819 a @beginspecial 0 @llx 0 @lly 673
@urx 952 @ury 3240 @rwi @setspecial
%%BeginDocument: ./figures/graph00.eps
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {0 setgray} bind def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def

end
save
-8.0 955.0 translate
1 -1 scale

/cp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/sa {save} bind def
/rs {restore} bind def
/l {lineto} bind def
/m {moveto} bind def
/rm {rmoveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/sh {show} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/sd {setdash} bind def
/ff {findfont} bind def
/sf {setfont} bind def
/scf {scalefont} bind def
/sw {stringwidth} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
  4 -2 roll dup 1 exch sub 3 -1 roll mul add
  4 -2 roll dup 1 exch sub 3 -1 roll mul add
  4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
  bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
  4 -2 roll mul srgb} bind def
/reencdict 12 dict def /ReEncode { reencdict begin
/newcodesandnames exch def /newfontname exch def /basefontname exch def
/basefontdict basefontname findfont def /newfont basefontdict maxlength dict def
basefontdict { exch dup /FID ne { dup /Encoding eq
{ exch dup length array copy newfont 3 1 roll put }
{ exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall
newfont /FontName newfontname put newcodesandnames aload pop
128 1 255 { newfont /Encoding get exch /.notdef put } for
newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat
newfontname newfont definefont pop end } def
/isovec [
8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde
8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis
8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron
8#220 /dotlessi 8#230 /oe 8#231 /OE
8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling
8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis
8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot
8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus
8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph
8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine
8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf
8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute
8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring
8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute
8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute
8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve
8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply
8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex
8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave
8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring
8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute
8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute
8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve
8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide
8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex
8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def
/Times-BoldItalic /Times-BoldItalic-iso isovec ReEncode
/Times-Roman /Times-Roman-iso isovec ReEncode
/Helvetica-Bold /Helvetica-Bold-iso isovec ReEncode
/Courier /Courier-iso isovec ReEncode
/Helvetica /Helvetica-iso isovec ReEncode
/Times-Bold /Times-Bold-iso isovec ReEncode
/Helvetica-BoldOblique /Helvetica-BoldOblique-iso isovec ReEncode
 /DrawEllipse {
	/endangle exch def
	/startangle exch def
	/yrad exch def
	/xrad exch def
	/y exch def
	/x exch def
	/savematrix mtrx currentmatrix def
	x y tr xrad yrad sc 0 0 1 startangle endangle arc
	closepath
	savematrix setmatrix
	} def

/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def

$F2psBegin
10 setmiterlimit
n -1000 16912 m -1000 -1000 l 12337 -1000 l 12337 16912 l cp clip
 0.06000 0.06000 sc
% Polyline
7.500 slw
n 826 3151 m 2026 2026 l gs col-1 s gr 
% Polyline
n 901 3151 m 2926 2926 l gs col-1 s gr 
% Polyline
n 2926 2926 m 2026 2026 l gs col-1 s gr 
% Polyline
n 901 1276 m 1951 526 l gs col-1 s gr 
% Polyline
n 1951 526 m 3226 1126 l gs col-1 s gr 
% Polyline
n 1951 526 m 2026 2026 l gs col-1 s gr 
% Polyline
n 2026 2026 m 976 1276 l gs col-1 s gr 
% Polyline
n 3226 1126 m 2926 2926 l gs col-1 s gr 
% Polyline
n 2926 2926 m 3976 2401 l gs col-1 s gr 
% Polyline
n 3976 2401 m 3226 1126 l gs col-1 s gr 
% Polyline
n 901 1276 m 826 3151 l gs col-1 s gr 
% Polyline
n 7352 11402 m 8552 10277 l gs col-1 s gr 
% Polyline
n 7427 11402 m 9452 11177 l gs col-1 s gr 
% Polyline
n 9452 11177 m 8552 10277 l gs col-1 s gr 
% Polyline
n 7427 9527 m 8477 8777 l gs col-1 s gr 
% Polyline
n 8477 8777 m 9752 9377 l gs col-1 s gr 
% Polyline
n 8477 8777 m 8552 10277 l gs col-1 s gr 
% Polyline
n 8552 10277 m 7502 9527 l gs col-1 s gr 
% Polyline
n 9752 9377 m 9452 11177 l gs col-1 s gr 
% Polyline
n 9452 11177 m 10502 10652 l gs col-1 s gr 
% Polyline
n 10502 10652 m 9752 9377 l gs col-1 s gr 
% Polyline
n 7427 9527 m 7352 11402 l gs col-1 s gr 
% Polyline
n 7126 3152 m 8326 2027 l gs col-1 s gr 
% Polyline
n 7201 3152 m 9226 2927 l gs col-1 s gr 
% Polyline
n 9226 2927 m 8326 2027 l gs col-1 s gr 
% Polyline
n 7201 1277 m 8251 527 l gs col-1 s gr 
% Polyline
n 8251 527 m 9526 1127 l gs col-1 s gr 
% Polyline
n 8251 527 m 8326 2027 l gs col-1 s gr 
% Polyline
n 8326 2027 m 7276 1277 l gs col-1 s gr 
% Polyline
n 9526 1127 m 9226 2927 l gs col-1 s gr 
% Polyline
n 9226 2927 m 10276 2402 l gs col-1 s gr 
% Polyline
n 10276 2402 m 9526 1127 l gs col-1 s gr 
% Polyline
n 7201 1277 m 7126 3152 l gs col-1 s gr 
% Polyline
n 977 11252 m 2177 10127 l gs col-1 s gr 
% Polyline
n 1052 11252 m 3077 11027 l gs col-1 s gr 
% Polyline
n 3077 11027 m 2177 10127 l gs col-1 s gr 
% Polyline
n 1052 9377 m 2102 8627 l gs col-1 s gr 
% Polyline
n 2102 8627 m 3377 9227 l gs col-1 s gr 
% Polyline
n 2102 8627 m 2177 10127 l gs col-1 s gr 
% Polyline
n 2177 10127 m 1127 9377 l gs col-1 s gr 
% Polyline
n 3377 9227 m 3077 11027 l gs col-1 s gr 
% Polyline
n 3077 11027 m 4127 10502 l gs col-1 s gr 
% Polyline
n 4127 10502 m 3377 9227 l gs col-1 s gr 
% Polyline
n 1052 9377 m 977 11252 l gs col-1 s gr 
% Ellipse
n 2008 2008 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 901 1276 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 1933 508 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 3208 1108 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 2908 2908 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 3958 2383 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 808 3133 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 8534 10259 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 7427 9527 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 8459 8759 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 9734 9359 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 9434 11159 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 10484 10634 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 7334 11384 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 8308 2009 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 7201 1277 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 8233 509 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 9508 1109 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 9208 2909 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 10258 2384 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 7108 3134 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 2159 10109 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 1052 9377 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 2084 8609 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 3359 9209 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 3059 11009 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 4109 10484 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

% Ellipse
n 959 11234 168 168 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr

/Helvetica-iso ff 210.00 scf sf
1951 2101 m
gs 1 -1 sc (3) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
2851 3001 m
gs 1 -1 sc (4) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
1876 601 m
gs 1 -1 sc (5) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
3151 1201 m
gs 1 -1 sc (6) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
751 3226 m
gs 1 -1 sc (2) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
3901 2476 m
gs 1 -1 sc (7) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
863 1351 m
gs 1 -1 sc (1) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1202 4727 m
gs 1 -1 sc (7 11) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1202 4997 m
gs 1 -1 sc (5 3 2) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1202 5267 m
gs 1 -1 sc (1 3 4) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1202 5807 m
gs 1 -1 sc (2 3 6 7) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1202 6077 m
gs 1 -1 sc (1 3 6) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1202 6347 m
gs 1 -1 sc (5 4 7) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1202 6617 m
gs 1 -1 sc (6 4) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1202 5537 m
gs 1 -1 sc (5 4 2 1) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
8477 10352 m
gs 1 -1 sc (3) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
9377 11252 m
gs 1 -1 sc (4) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
8402 8852 m
gs 1 -1 sc (5) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
9677 9452 m
gs 1 -1 sc (6) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
7277 11477 m
gs 1 -1 sc (2) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
10427 10727 m
gs 1 -1 sc (7) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
7389 9602 m
gs 1 -1 sc (1) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
8251 2102 m
gs 1 -1 sc (3) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
9151 3002 m
gs 1 -1 sc (4) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
8176 602 m
gs 1 -1 sc (5) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
9451 1202 m
gs 1 -1 sc (6) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
7051 3227 m
gs 1 -1 sc (2) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
10201 2477 m
gs 1 -1 sc (7) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
7163 1352 m
gs 1 -1 sc (1) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
7651 827 m
gs 1 -1 sc (1) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
8926 752 m
gs 1 -1 sc (2) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
8401 1352 m
gs 1 -1 sc (3) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
7801 1577 m
gs 1 -1 sc (2) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
7726 2477 m
gs 1 -1 sc (2) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
8176 3002 m
gs 1 -1 sc (1) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
8776 2402 m
gs 1 -1 sc (2) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
9226 2027 m
gs 1 -1 sc (2) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
9676 2627 m
gs 1 -1 sc (5) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
9976 1727 m
gs 1 -1 sc (6) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
6976 2177 m
gs 1 -1 sc (1) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7502 4728 m
gs 1 -1 sc (7 11 1) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7502 4998 m
gs 1 -1 sc (5 1 3 2 2 1) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7502 5268 m
gs 1 -1 sc (1 1 3 2 4 1) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7502 5538 m
gs 1 -1 sc (5 3 4 2 2 2 1 2) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7502 5808 m
gs 1 -1 sc (2 1 3 2 6 2 7 5) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7502 6078 m
gs 1 -1 sc (1 1 3 3 6 2) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7502 6348 m
gs 1 -1 sc (5 2 4 2 7 6) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7502 6618 m
gs 1 -1 sc (6 6 4 5) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
2102 10202 m
gs 1 -1 sc (3) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
3002 11102 m
gs 1 -1 sc (4) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
2027 8702 m
gs 1 -1 sc (5) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
3302 9302 m
gs 1 -1 sc (6) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
902 11327 m
gs 1 -1 sc (2) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
4052 10577 m
gs 1 -1 sc (7) col-1 sh gr
/Helvetica-iso ff 210.00 scf sf
1014 9452 m
gs 1 -1 sc (1) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
1502 8927 m
gs 1 -1 sc (1) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
2777 8852 m
gs 1 -1 sc (2) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
2252 9452 m
gs 1 -1 sc (3) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
1652 9677 m
gs 1 -1 sc (2) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
1577 10577 m
gs 1 -1 sc (2) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
2027 11102 m
gs 1 -1 sc (1) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
2627 10502 m
gs 1 -1 sc (2) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
3077 10127 m
gs 1 -1 sc (2) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
3527 10727 m
gs 1 -1 sc (5) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
3827 9827 m
gs 1 -1 sc (6) col-1 sh gr
/Times-Bold-iso ff 210.00 scf sf
827 10277 m
gs 1 -1 sc (1) col-1 sh gr
/Helvetica-BoldOblique-iso ff 210.00 scf sf
750 9150 m
gs 1 -1 sc ([4]) col-1 sh gr
/Helvetica-BoldOblique-iso ff 210.00 scf sf
600 11025 m
gs 1 -1 sc ([2]) col-1 sh gr
/Helvetica-BoldOblique-iso ff 210.00 scf sf
1950 8325 m
gs 1 -1 sc ([1]) col-1 sh gr
/Helvetica-BoldOblique-iso ff 210.00 scf sf
3300 8925 m
gs 1 -1 sc ([6]) col-1 sh gr
/Helvetica-BoldOblique-iso ff 210.00 scf sf
2325 9900 m
gs 1 -1 sc ([5]) col-1 sh gr
/Helvetica-BoldOblique-iso ff 210.00 scf sf
2925 11400 m
gs 1 -1 sc ([3]) col-1 sh gr
/Helvetica-BoldOblique-iso ff 210.00 scf sf
4350 10500 m
gs 1 -1 sc ([2]) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1353 12828 m
gs 1 -1 sc (7 11 11) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1353 13098 m
gs 1 -1 sc (4 5 1 3 2 2 1) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1353 13368 m
gs 1 -1 sc (2 1 1 3 2 4 1) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1353 13638 m
gs 1 -1 sc (5 5 3 4 2 2 2 1 2) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1353 13908 m
gs 1 -1 sc (3 2 1 3 2 6 2 7 5) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1353 14178 m
gs 1 -1 sc (1 1 1 3 3 6 2) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1353 14448 m
gs 1 -1 sc (6 5 2 4 2 7 6) col-1 sh gr
/Courier-iso ff 210.00 scf sf
1353 14718 m
gs 1 -1 sc (2 6 6 4 5) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7728 12978 m
gs 1 -1 sc (7 11 10 3) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7728 13248 m
gs 1 -1 sc (1 2 0 5 3 2) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7728 13518 m
gs 1 -1 sc (0 2 2 1 3 4) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7728 14058 m
gs 1 -1 sc (2 2 3 2 3 6 7) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7728 14328 m
gs 1 -1 sc (1 1 1 1 3 6) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7728 14598 m
gs 1 -1 sc (2 2 1 5 4 7) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7728 14868 m
gs 1 -1 sc (1 2 1 6 4) col-1 sh gr
/Courier-iso ff 210.00 scf sf
7728 13788 m
gs 1 -1 sc (4 1 1 5 4 2 1) col-1 sh gr
/Helvetica-Bold-iso ff 180.00 scf sf
1501 7351 m
gs 1 -1 sc (\(a\)) dup sw pop neg 0 rm  col-1 sh gr
/Helvetica-Bold-iso ff 180.00 scf sf
1801 7351 m
gs 1 -1 sc (Unweighted Graph) col-1 sh gr
% Polyline
n 301 3826 m 4351 3826 l gs col-1 s gr 
/Times-Roman-iso ff 180.00 scf sf
600 4350 m
gs 1 -1 sc (Graph File:) col-1 sh gr
/Helvetica-Bold-iso ff 180.00 scf sf
1052 15377 m
gs 1 -1 sc (\(c\)) dup sw pop neg 0 rm  col-1 sh gr
/Helvetica-Bold-iso ff 180.00 scf sf
1352 15377 m
gs 1 -1 sc (Weighted Graph) col-1 sh gr
/Helvetica-Bold-iso ff 180.00 scf sf
1352 15647 m
gs 1 -1 sc (Weights both on vertices and edges) col-1 sh gr
% Polyline
n 452 11927 m 4652 11927 l gs col-1 s gr 
/Times-Roman-iso ff 180.00 scf sf
751 12451 m
gs 1 -1 sc (Graph File:) col-1 sh gr
/Helvetica-Bold-iso ff 180.00 scf sf
8026 7276 m
gs 1 -1 sc (\(b\)) dup sw pop neg 0 rm  col-1 sh gr
/Helvetica-Bold-iso ff 180.00 scf sf
8326 7276 m
gs 1 -1 sc (Weighted Graph) col-1 sh gr
/Helvetica-Bold-iso ff 180.00 scf sf
8326 7546 m
gs 1 -1 sc (Weights on edges) col-1 sh gr
% Polyline
n 6827 12077 m 10877 12077 l gs col-1 s gr 
% Polyline
n 6601 3827 m 10726 3827 l gs col-1 s gr 
% Polyline
n 6450 8100 m 11325 8100 l 11325 15900 l 6450 15900 l cp gs col0 s gr 
% Polyline
n 150 8100 m 5025 8100 l 5025 15900 l 150 15900 l cp gs col0 s gr 
% Polyline
n 150 75 m 5025 75 l 5025 7875 l 150 7875 l cp gs col0 s gr 
% Polyline
n 6450 75 m 11325 75 l 11325 7875 l 6450 7875 l cp gs col0 s gr 
/Times-BoldItalic-iso ff 210.00 scf sf
6600 11100 m
gs 1 -1 sc ([0, 2, 2]) col0 sh gr
/Times-BoldItalic-iso ff 210.00 scf sf
7050 9225 m
gs 1 -1 sc ([1, 2, 0]) col0 sh gr
/Times-BoldItalic-iso ff 210.00 scf sf
8175 8475 m
gs 1 -1 sc ([1, 1, 1]) col0 sh gr
/Times-BoldItalic-iso ff 210.00 scf sf
9525 9075 m
gs 1 -1 sc ([2, 2, 1]) col0 sh gr
/Times-BoldItalic-iso ff 210.00 scf sf
8700 10050 m
gs 1 -1 sc ([4, 1, 1]) col0 sh gr
/Times-BoldItalic-iso ff 210.00 scf sf
10425 10350 m
gs 1 -1 sc ([1, 2, 1]) col0 sh gr
/Times-BoldItalic-iso ff 210.00 scf sf
9225 11550 m
gs 1 -1 sc ([2, 2, 3]) col0 sh gr
/Times-Roman-iso ff 180.00 scf sf
7126 12601 m
gs 1 -1 sc (Graph File:) col-1 sh gr
/Helvetica-Bold-iso ff 180.00 scf sf
8027 15602 m
gs 1 -1 sc (\(d\)) dup sw pop neg 0 rm  col-1 sh gr
/Helvetica-Bold-iso ff 180.00 scf sf
8327 15602 m
gs 1 -1 sc (Multi-Constraint Graph) col-1 sh gr
/Times-Roman-iso ff 180.00 scf sf
6900 4351 m
gs 1 -1 sc (Graph File:) col-1 sh gr
$F2psEnd
rs
%%EndDocument
 @endspecial 1168 4002 a Fy(Figure)18 b(8)p FL(:)25 b
Fx(Stor)o(age)19 b(f)n(or)r(mat)f(f)n(or)g(v)n(ar)q(ious)h(type)g(of)f
(g)o(r)o(aphs)o(.)0 4186 y FL(to)i(1,)g(indicating)f(the)h(f)o(act)h
(that)h Ft(G)k FL(has)20 b(weights)g(on)g(the)g(edges.)100
4296 y(In)e(addition)g(to)h(ha)n(ving)f(weights)g(on)h(the)g(edges,)f
(weights)h(on)f(the)h(v)o(ertices)g(are)f(also)i(allo)n(wed,)e(as)h
(illustrated)g(in)g(Figure)f(8\(c\).)24 b(In)0 4406 y(this)f(case,)h
(the)f(v)n(alue)f(of)g Fs(fmt)j FL(is)f(equal)e(to)h(11,)g(and)f(each)g
(line)h(of)g(the)f(graph)g(\002le)h(\002rst)h(stores)f(the)g(weight)f
(of)g(the)h(v)o(erte)o(x,)f(and)g(then)0 4515 y(the)e(weighted)f
(adjacenc)o(y)g(list.)100 4625 y(Finally)-5 b(,)22 b(Figure)h(8\(d\))f
(illustrates)h(the)g(format)f(of)h(the)g(input)f(\002le)h(when)g(the)g
(v)o(ertices)f(of)h(the)g(graph)e(contain)h(multiple)h(weights)0
4734 y(\(3)h(in)g(this)g(e)o(xample\).)34 b(In)24 b(this)g(case,)h(the)
f(v)n(alue)f(of)g Fs(fmt)i FL(is)g(equal)e(to)h(10)f(\(we)h(do)g(not)f
(ha)n(v)o(e)g(weights)h(associated)g(with)g(the)g(edges\),)0
4844 y(and)e(the)g(v)n(alue)f(of)h Fs(ncon)f FL(is)i(equal)e(to)i(3)f
(\(since)g(we)g(ha)n(v)o(e)g(three)f(sets)i(of)f(v)o(erte)o
(x-weights\).)28 b(Each)22 b(line)g(of)g(the)g(graph)e(\002le)j(stores)
g(the)0 4954 y(three)d(weights)g(of)g(the)g(v)o(ertices)g(follo)n(wed)e
(by)i(the)g(adjacenc)o(y)f(list.)0 5163 y FB(4.5.2)84
b(Mesh)23 b(File)0 5289 y FL(The)h(primary)g(input)g(of)g(the)h(mesh)f
(partitioning)f(programs)g(in)k Fz(M)l FG(E)-17 b Fz(T)g
FG(I)p Fz(S)29 b FL(is)c(the)g(mesh)g(to)g(be)f(partitioned.)37
b(This)25 b(mesh)g(is)g(stored)f(in)0 5399 y(a)f(\002le)h(in)f(the)g
(form)f(of)h(the)g(element)g(node)f(array)-5 b(.)32 b(A)23
b(mesh)g(with)g Ft(n)k FL(elements)c(is)h(stored)e(in)h(a)h(plain)e(te)
o(xt)h(\002le)h(that)f(contains)f Ft(n)i FM(C)c FL(1)1908
5649 y(16)p eop
%%Page: 17 17
17 16 bop 0 83 a FL(lines.)30 b(The)22 b(\002rst)g(line)g(contains)f
(information)f(about)g(the)i(size)h(and)e(the)h(type)f(of)h(the)f
(mesh,)h(while)g(the)g(remaining)e Ft(n)25 b FL(lines)e(contain)0
193 y(the)d(nodes)g(that)g(mak)o(e)g(up)f(each)h(element.)100
302 y(The)i(\002rst)h(line)f(contains)g(tw)o(o)g(inte)o(gers.)31
b(The)22 b(\002rst)h(inte)o(ger)e(is)i(the)g(number)d(of)i(elements)g
Ft(n)k FL(in)d(the)f(mesh.)31 b(The)22 b(second)g(inte)o(ger)0
412 y Fs(etype)e FL(is)h(used)f(to)g(denote)f(the)h(type)f(of)h
(elements)g(that)g(the)g(mesh)g(is)h(made)e(of)n(f.)25
b Fs(Etype)19 b FL(can)h(either)g(tak)o(e)g(the)g(v)n(alues)f(of)h(1,)g
(2,)g(3,)g(or)g(4,)0 521 y(indicating)f(that)h(the)g(mesh)g(consists)h
(of)f(either)g(triangles,)f(tetrahedra,)g(he)o(xahedra)e(\(bricks\),)i
(or)h(quadrilaterals,)e(respecti)n(v)o(ely)-5 b(.)100
631 y(After)21 b(the)g(\002rst)h(line,)f(the)h(remaining)d
Ft(n)25 b FL(lines)d(store)f(the)g(element)g(node)f(array)-5
b(.)27 b(In)21 b(particular)f(for)h(element)e Ft(i)9
b FL(,)22 b(line)e Ft(i)28 b FM(C)19 b FL(1)i(stores)0
741 y(the)j(nodes)g(that)g(this)h(element)f(is)h(made)e(of)n(f.)37
b(Depending)22 b(on)i Fs(etype)p FL(,)h(each)f(line)g(can)g(either)g
(ha)n(v)o(e)g(three)f(inte)o(gers)h(\(in)g(the)g(case)h(of)0
850 y(triangles\),)e(four)g(inte)o(gers)g(\(in)g(the)g(case)h(of)g
(tetrahedra)e(and)h(quadrilaterals\),)f(or)h(eight)h(inte)o(gers)e
(\(in)i(the)f(case)h(of)g(he)o(xahedra\).)32 b(In)0 960
y(the)22 b(case)g(of)g(triangles)f(and)g(tetrahedra,)g(the)h(ordering)d
(of)j(the)g(nodes)f(for)g(each)h(element)f(does)h(not)f(matter)-5
b(.)30 b(Ho)n(we)n(v)o(er)m(,)20 b(in)i(the)g(case)0
1069 y(of)f(he)o(xahedra)e(and)i(quadrilaterals,)f(the)i(nodes)e(for)h
(each)g(element)g(should)g(be)g(ordered)f(according)f(to)j(the)f
(numbering)e(illustrated)0 1179 y(in)h(Figure)g(9\(b\).)k(Note)c(that)g
(the)g(node)f(numbering)f(starts)j(from)e(1.)100 1289
y(Figure)h(9)h(illustrates)h(this)g(format)e(for)g(a)i(small)f(mesh)g
(with)g(triangular)f(elements.)27 b(Note)21 b(that)h(the)f
Fs(etype)g FL(\002eld)g(of)g(the)g(mesh)g(\002le)0 1398
y(is)g(set)g(to)f(1)h(indicating)e(that)h(the)g(mesh)g(consists)h(of)f
(triangular)e(elements.)750 2599 y @beginspecial 0 @llx
0 @lly 469 @urx 215 @ury 2880 @rwi @setspecial
%%BeginDocument: ./figures/meshformat.eps
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {} def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def

end
save
-32.0 264.0 translate
1 -1 scale

/clp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/l {lineto} bind def
/m {moveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
  4 -2 roll dup 1 exch sub 3 -1 roll mul add
  4 -2 roll dup 1 exch sub 3 -1 roll mul add
  4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
  bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
  4 -2 roll mul srgb} bind def
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def

$F2psBegin
10 setmiterlimit
 0.06000 0.06000 sc
/Times-Roman findfont 180.00 scalefont setfont
750 2850 m
gs 1 -1 sc (Mesh File:) col-1 show gr
/Helvetica-Bold findfont 210.00 scalefont setfont
1650 4350 m
gs 1 -1 sc (\(a\) Sample Mesh File) dup stringwidth pop 2 div neg 0 rmoveto  col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
4350 2566 m
gs 1 -1 sc (2) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
5430 2700 m
gs 1 -1 sc (3) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
1605 2288 m
gs 1 -1 sc (1) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
1597 1268 m
gs 1 -1 sc (6) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
2183 1860 m
gs 1 -1 sc (3) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
2145 952 m
gs 1 -1 sc (5) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
1043 930 m
gs 1 -1 sc (4) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
6053 2310 m
gs 1 -1 sc (4) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
8228 2385 m
gs 1 -1 sc (4) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
7050 1441 m
gs 1 -1 sc (2) col-1 show gr
/Helvetica-Bold findfont 210.00 scalefont setfont
6450 3375 m
gs 1 -1 sc (\(b\) Ordering of nodes) dup stringwidth pop 2 div neg 0 rmoveto  col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
7043 2378 m
gs 1 -1 sc (1) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
8205 1425 m
gs 1 -1 sc (3) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
4958 1312 m
gs 1 -1 sc (5) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
4350 1650 m
gs 1 -1 sc (6) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
5468 1800 m
gs 1 -1 sc (7) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
6030 1379 m
gs 1 -1 sc (8) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
4943 2228 m
gs 1 -1 sc (1) col-1 show gr
/Helvetica findfont 180.00 scalefont setfont
1050 1875 m
gs 1 -1 sc (2) col-1 show gr
/Courier findfont 180.00 scalefont setfont
1725 3900 m
gs 1 -1 sc (5 6 3) col-1 show gr
7.500 slw
% Polyline
n 1200 900 m 1200 1800 l  2100 1800 l  2100 900 l  1200 900 l  gs col-1 s gr 
% Polyline
n 1200 900 m 2100 1800 l  gs col-1 s gr 
% Polyline
n 1650 1350 m 1200 1800 l  gs col-1 s gr 
/Courier findfont 180.00 scalefont setfont
1725 3690 m
gs 1 -1 sc (4 5 6) col-1 show gr
/Courier findfont 180.00 scalefont setfont
1725 2850 m
gs 1 -1 sc (5 1) col-1 show gr
/Courier findfont 180.00 scalefont setfont
1725 3060 m
gs 1 -1 sc (1 2 3) col-1 show gr
/Courier findfont 180.00 scalefont setfont
1725 3270 m
gs 1 -1 sc (2 4 6) col-1 show gr
/Courier findfont 180.00 scalefont setfont
1725 3480 m
gs 1 -1 sc (2 6 3) col-1 show gr
% Polyline
n 2100 900 m 1650 1350 l  gs col-1 s gr 
% Polyline
n 5100 1335 m 4500 1635 l  gs col-1 s gr 
% Polyline
n 6000 1335 m 5400 1635 l  gs col-1 s gr 
% Polyline
n 5100 2235 m 4500 2535 l  gs col-1 s gr 
% Polyline
n 6000 2235 m 5400 2535 l  gs col-1 s gr 
% Polyline
n 4500 1635 m 5400 1635 l  5400 2535 l  4500 2535 l  clp  gs col-1 s gr 
% Polyline
n 1200 1800 m 1650 2400 l  gs col-1 s gr 
% Polyline
n 2100 1800 m 1650 2400 l  gs col-1 s gr 
% Polyline
n 600 2550 m 2550 2550 l  gs col-1 s gr 
% Polyline
n 7200 1500 m 8100 1500 l  8100 2400 l  7200 2400 l  clp  gs col-1 s gr 
% Polyline
n 5100 1335 m 6000 1335 l  6000 2235 l  5100 2235 l  clp  gs col-1 s gr 
$F2psEnd
restore
%%EndDocument
 @endspecial 180 2782 a Fy(Figure)g(9)p FL(:)25 b Fx(\(a\))19
b(The)f(\002le)h(that)f(stores)h(the)f(mesh.)23 b(\(b\))18
b(The)g(order)q(ing)g(of)h(the)f(nodes)h(in)g(the)f(case)h(of)g(he)n
(xahedr)o(a)f(and)g(quadr)q(ilater)o(als)o(.)0 3093 y
Fr(4.6)100 b(Output)27 b(File)h(Formats)0 3252 y FL(The)h(output)f(of)k
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)33 b FL(is)e(either)e(a)h
(partition)e(or)i(an)f(ordering)e(\002le,)33 b(depending)27
b(on)i(whether)h Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)34
b FL(is)c(used)g(for)f(graph/mesh)0 3362 y(partitioning)18
b(or)i(for)g(sparse)g(matrix)f(ordering.)k(The)d(format)f(of)h(these)g
(\002les)i(are)e(described)f(in)h(the)g(follo)n(wing)f(sections.)0
3571 y FB(4.6.1)84 b(P)n(ar)r(tition)22 b(File)0 3697
y FL(The)28 b(partition)g(\002le)i(of)e(a)h(graph)f(with)h
Ft(n)j FL(v)o(ertices)d(consists)g(of)f Ft(n)33 b FL(lines)c(with)g(a)g
(single)g(number)e(per)h(line.)51 b(The)28 b Ft(i)9 b
FL(th)28 b(line)h(of)g(the)0 3807 y(\002le)d(contains)e(the)h
(partition)e(number)g(that)i(the)f Ft(i)9 b FL(th)25
b(v)o(erte)o(x)e(belongs)h(to.)39 b(P)o(artition)24 b(numbers)f(start)j
(from)e(0)g(up)h(to)g(the)g(number)e(of)0 3916 y(partitions)c(minus)h
(one.)0 4126 y FB(4.6.2)84 b(Or)n(dering)23 b(File)0
4252 y FL(The)28 b(ordering)f(\002le)j(of)e(a)h(graph)f(with)h
Ft(n)j FL(v)o(ertices)d(consists)g(of)f Ft(n)33 b FL(lines)c(with)g(a)g
(single)g(number)e(per)h(line.)51 b(The)28 b Ft(i)9 b
FL(th)28 b(line)h(of)g(the)0 4361 y(ordering)18 b(\002le)j(contains)e
(the)i(ne)n(w)f(order)e(of)i(the)g Ft(i)9 b FL(th)20
b(v)o(erte)o(x)e(of)i(the)g(graph.)k(The)c(numbering)d(in)k(the)f
(ordering)e(\002le)j(starts)g(from)e(0.)100 4471 y(Note)g(that)g(the)g
(ordering)d(\002le)k(stores)f(what)g(is)h(referred)d(to)i(as)h(the)f
(the)g(in)m(v)o(erse)f(permutation)e(v)o(ector)i Fs(iperm)h
FL(of)g(the)g(ordering.)j(Let)8 4581 y Ft(A)g FL(be)e(a)g(matrix)f(and)
g(let)29 b Ft(A)779 4550 y Fe(0)820 4581 y FL(be)20 b(the)f(reordered)f
(matrix.)24 b(The)19 b(in)m(v)o(erse)g(permutation)f(v)o(ector)g(maps)i
(the)f Ft(i)9 b FL(th)19 b(ro)n(w)h(\(column\))d(of)28
b Ft(A)22 b FL(into)0 4690 y(the)e Fs(iperm)p FM(T)o
Ft(i)9 b FM(U)19 b FL(ro)n(w)h(\(column\))e(of)28 b Ft(A)1046
4660 y Fe(0)1067 4690 y FL(.)1908 5649 y(17)p eop
%%Page: 18 18
18 17 bop 0 85 a FD(5)119 b(M)-6 b FA(E)-23 b FD(T)g
FA(I)p FD(S)s(')-7 b(s)31 b(Librar)q(y)h(Interface)0
261 y FL(The)17 b(v)n(arious)g(programs)f(pro)o(vided)f(in)20
b Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)22 b FL(can)c(also)g(be)f
(directly)g(accessed)h(from)f(a)h(C)g(or)g(F)o(ortran)e(program)g(by)h
(using)g(the)h(stand-)0 370 y(alone)27 b(library)h Fz(M)l
FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)p FL(.)49 b(Furthermore,)29
b Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)30 b FL(e)o(xtends)d(the)g
(functionality)e(pro)o(vided)g(by)k Fz(M)l FG(E)-17 b
Fz(T)g FG(I)p Fz(S)r FL(')-5 b(s)30 b(stand-alone)25
b(programs)0 480 y(in)h(tw)o(o)h(dif)n(ferent)d(w)o(ays.)43
b(First,)29 b(it)d(allo)n(ws)h(the)f(user)g(to)g(alter)h(the)f(beha)n
(vior)e(of)i(the)g(v)n(arious)f(algorithms)g(in)k Fz(M)l
FG(E)-17 b Fz(T)g FG(I)p Fz(S)r FL(,)28 b(and)d(second)2
590 y Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)31 b
FL(pro)o(vides)26 b(additional)g(routines)h(that)g(can)h(be)f(used)g
(to)h(partition)f(graphs)f(into)i(unequal-size)d(partitions)i(and)g
(compute)0 699 y(partitionings)19 b(that)h(directly)f(minimize)h(the)g
(total)g(communication)d(v)n(olume.)100 809 y(In)24 b(the)g(rest)g(of)g
(this)h(section)f(we)h(describe)e(the)h(interf)o(ace)f(to)i(the)f
(routines)f(in)k Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)27
b FL(by)d(\002rst)h(describing)d(the)j(v)n(arious)e(data)0
918 y(structures)e(used)h(to)g(pass)g(information)e(into)h(and)h(get)f
(information)f(out)h(of)h(the)g(routines,)f(follo)n(wed)f(by)i(a)g
(detailed)f(description)g(of)0 1028 y(the)f(calling)g(sequence)f(of)h
(the)g(v)n(arious)f(routines.)0 1255 y Fr(5.1)100 b(Graph)27
b(Data)i(Structure)0 1415 y FL(All)24 b(of)f(the)h(graph)e
(partitioning)f(and)i(sparse)h(matrix)f(ordering)e(routines)h(in)k
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)27 b FL(tak)o(e)c(as)h
(input)f(the)h(adjacenc)o(y)d(structure)i(of)0 1524 y(the)d(graph)f
(and)h(the)g(weights)g(of)g(the)g(v)o(ertices)g(and)f(edges)h(\(if)g
(an)o(y\).)100 1634 y(The)25 b(adjacenc)o(y)e(structure)h(of)h(the)h
(graph)e(is)i(stored)f(using)f(the)i(compressed)d(storage)i(format)f
(\(CSR\).)i(The)f(CSR)i(format)d(is)i(a)0 1744 y(widely)e(used)h
(scheme)g(for)f(storing)g(sparse)h(graphs.)38 b(In)24
b(this)i(format)e(the)g(adjacenc)o(y)g(structure)g(of)g(a)h(graph)f
(with)h Ft(n)k FL(v)o(ertices)24 b(and)0 1853 y Ft(m)k
FL(edges)22 b(is)h(represented)e(using)h(tw)o(o)g(arrays)g
Fp(xadj)h FL(and)e Fp(adjncy)p FL(.)32 b(The)22 b Fp(xadj)g
FL(array)f(is)j(of)e(size)h Ft(n)g FM(C)d FL(1)j(whereas)f(the)g
Fp(adjncy)0 1963 y FL(array)d(is)i(of)f(size)h(2)p Ft(m)k
FL(\(this)c(is)g(because)e(for)h(each)g(edge)f(between)h(v)o(ertices)f
Fu(v)25 b FL(and)19 b Ft(u)25 b FL(we)c(actually)e(store)h(both)g
Fu(.v)s(;)14 b Ft(u)t Fu(/)21 b FL(and)f Fu(.)p Ft(u)t
Fu(;)14 b(v)s(/)p FL(\).)100 2072 y(The)21 b(adjacenc)o(y)e(structure)i
(of)g(the)g(graph)f(is)j(stored)e(as)h(follo)n(ws.)28
b(Assuming)21 b(that)g(v)o(erte)o(x)f(numbering)f(starts)j(from)e(0)i
(\(C)g(style\),)0 2182 y(then)32 b(the)g(adjacenc)o(y)f(list)j(of)e(v)o
(erte)o(x)e Ft(i)42 b FL(is)33 b(stored)f(in)h(array)e
Fp(adjncy)h FL(starting)g(at)h(inde)o(x)e Fp(xadj[)o
Ft(i)9 b Fp(])32 b FL(and)g(ending)f(at)i(\(b)n(ut)f(not)0
2292 y(including\))17 b(inde)o(x)g Fp(xadj[)o Ft(i)22
b FM(C)14 b FL(1)p Fp(])k FL(\()p Fs(i.e)o FL(.,)h Fp(adjncy[xadj[)o
Ft(i)9 b Fp(]])17 b FL(through)g(and)h(including)f Fp(adjncy[xadj[)o
Ft(i)j FM(C)14 b FL(1)p Fp(]-1])p FL(\).)23 b(That)0
2401 y(is,)h(for)e(each)h(v)o(erte)o(x)d Ft(i)9 b FL(,)24
b(its)g(adjacenc)o(y)d(list)j(is)g(stored)e(in)h(consecuti)n(v)o(e)e
(locations)h(in)h(the)g(array)f Fp(adjncy)p FL(,)h(and)f(the)h(array)f
Fp(xadj)h FL(is)0 2511 y(used)i(to)h(point)f(to)h(where)f(it)h(be)o
(gins)f(and)g(where)g(it)h(ends.)41 b(Figure)25 b(10\(b\))f
(illustrates)i(the)g(CSR)h(format)d(for)h(the)h(15-v)o(erte)o(x)d
(graph)0 2620 y(sho)n(wn)c(in)i(Figure)e(10\(a\).)450
3789 y @beginspecial 0 @llx 0 @lly 506 @urx 180 @ury
3600 @rwi @setspecial
%%BeginDocument: ./figures/csr.eps
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {} def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def

end
save
-8.0 206.0 translate
1 -1 scale

/clp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/l {lineto} bind def
/m {moveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
  4 -2 roll dup 1 exch sub 3 -1 roll mul add
  4 -2 roll dup 1 exch sub 3 -1 roll mul add
  4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
  bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
  4 -2 roll mul srgb} bind def
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def

$F2psBegin
10 setmiterlimit
 0.06000 0.06000 sc
/Times-Roman findfont 150.00 scalefont setfont
4725 2850 m
gs 1 -1 sc (3) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
4500 2850 m
gs 1 -1 sc (12) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
4350 2850 m
gs 1 -1 sc (8) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
4200 2850 m
gs 1 -1 sc (6) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
4875 2850 m
gs 1 -1 sc (7) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
5550 2850 m
gs 1 -1 sc (8) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
5400 2850 m
gs 1 -1 sc (4) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
5175 2850 m
gs 1 -1 sc (13) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
5025 2850 m
gs 1 -1 sc (9) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
4050 2850 m
gs 1 -1 sc (2) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
2700 2850 m
gs 1 -1 sc (9) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
2250 2850 m
gs 1 -1 sc (4) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
2100 2850 m
gs 1 -1 sc (2) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1050 2850 m
gs 1 -1 sc (5) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
2550 2850 m
gs 1 -1 sc (3) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3825 2850 m
gs 1 -1 sc (11) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3675 2850 m
gs 1 -1 sc (7) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3525 2850 m
gs 1 -1 sc (5) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3375 2850 m
gs 1 -1 sc (1) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
2400 2850 m
gs 1 -1 sc (8) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
5700 2850 m
gs 1 -1 sc (14) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
8100 2850 m
gs 1 -1 sc (9) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
7875 2850 m
gs 1 -1 sc (14) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
7650 2850 m
gs 1 -1 sc (12) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
7500 2850 m
gs 1 -1 sc (8) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
8250 2850 m
gs 1 -1 sc (13) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
600 2850 m
gs 1 -1 sc (adjncy) dup stringwidth pop neg 0 rmoveto  col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
600 2550 m
gs 1 -1 sc (xadj) dup stringwidth pop neg 0 rmoveto  col-1 show gr
/Helvetica-Bold findfont 210.00 scalefont setfont
3900 3375 m
gs 1 -1 sc (\(b CSR format) dup stringwidth pop 2 div neg 0 rmoveto  col-1 show gr
/Helvetica-Bold findfont 210.00 scalefont setfont
3900 1500 m
gs 1 -1 sc (\(a\) A sample graph) dup stringwidth pop 2 div neg 0 rmoveto  col-1 show gr
7.500 slw
% Polyline
n 150 2250 m 8550 2250 l  8550 3000 l  150 3000 l  clp  gs col-1 s gr 
/Times-Roman findfont 150.00 scalefont setfont
7275 2850 m
gs 1 -1 sc (13) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
5925 2850 m
gs 1 -1 sc (5) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3150 2850 m
gs 1 -1 sc (10) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3000 2850 m
gs 1 -1 sc (6) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
2850 2850 m
gs 1 -1 sc (0) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
6075 2850 m
gs 1 -1 sc (11) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
7050 2850 m
gs 1 -1 sc (11) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
6900 2850 m
gs 1 -1 sc (7) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
6675 2850 m
gs 1 -1 sc (12) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
6450 2850 m
gs 1 -1 sc (10) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
6300 2850 m
gs 1 -1 sc (6) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1950 2850 m
gs 1 -1 sc (7) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
4350 1125 m
gs 1 -1 sc (14) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
4050 1125 m
gs 1 -1 sc (13) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3750 1125 m
gs 1 -1 sc (12) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3450 1125 m
gs 1 -1 sc (11) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3225 525 m
gs 1 -1 sc (0) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
4425 525 m
gs 1 -1 sc (4) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
4125 525 m
gs 1 -1 sc (3) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3825 525 m
gs 1 -1 sc (2) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3525 525 m
gs 1 -1 sc (1) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3150 1125 m
gs 1 -1 sc (10) col-1 show gr
% Polyline
n 4200 525 m 4200 1125 l  gs col-1 s gr 
% Polyline
n 3900 525 m 3900 1125 l  gs col-1 s gr 
% Polyline
n 3600 525 m 3600 1125 l  gs col-1 s gr 
% Polyline
n 3300 525 m 4500 525 l  4500 1125 l  3300 1125 l  3300 525 l  gs col-1 s gr 
% Polyline
n 3300 825 m 4500 825 l  gs col-1 s gr 
/Times-Roman findfont 150.00 scalefont setfont
4425 825 m
gs 1 -1 sc (9) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
4125 825 m
gs 1 -1 sc (8) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3825 825 m
gs 1 -1 sc (7) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3525 825 m
gs 1 -1 sc (6) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3225 825 m
gs 1 -1 sc (5) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
900 2550 m
gs 1 -1 sc (0) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3975 2550 m
gs 1 -1 sc (44) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3750 2550 m
gs 1 -1 sc (42) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3525 2550 m
gs 1 -1 sc (39) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3300 2550 m
gs 1 -1 sc (36) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
900 2850 m
gs 1 -1 sc (1) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1800 2850 m
gs 1 -1 sc (3) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1650 2850 m
gs 1 -1 sc (1) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1500 2850 m
gs 1 -1 sc (6) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1350 2850 m
gs 1 -1 sc (2) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1200 2850 m
gs 1 -1 sc (0) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
3075 2550 m
gs 1 -1 sc (33) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1500 2550 m
gs 1 -1 sc (11) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1350 2550 m
gs 1 -1 sc (8) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1200 2550 m
gs 1 -1 sc (5) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1050 2550 m
gs 1 -1 sc (2) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1725 2550 m
gs 1 -1 sc (13) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
2850 2550 m
gs 1 -1 sc (31) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
2625 2550 m
gs 1 -1 sc (28) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
2400 2550 m
gs 1 -1 sc (24) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
2175 2550 m
gs 1 -1 sc (20) col-1 show gr
/Times-Roman findfont 150.00 scalefont setfont
1950 2550 m
gs 1 -1 sc (16) col-1 show gr
$F2psEnd
restore
%%EndDocument
 @endspecial 920 3971 a Fy(Figure)f(10)p FL(:)25 b Fx(An)20
b(e)n(xample)e(of)g(the)h(CSR)h(f)n(or)r(mat)d(f)n(or)i(stor)q(ing)f
(sparse)g(g)o(r)o(aphs)o(.)100 4164 y FL(The)h(weights)h(of)g(the)g(v)o
(ertices)g(\(if)g(an)o(y\))f(are)h(stored)f(in)h(an)g(additional)f
(array)g(called)h Fp(vwgt)p FL(.)25 b(If)20 b Fs(ncon)f
FL(is)i(the)f(number)e(of)i(weights)0 4274 y(associated)h(with)h(each)f
(v)o(erte)o(x,)f(the)i(array)f Fp(vwgt)g FL(contains)g
Ft(n)h FM(\003)e Fs(ncon)h FL(elements)g(\(recall)g(that)g
Ft(n)26 b FL(is)c(the)g(number)e(of)h(v)o(ertices\).)28
b(The)0 4383 y(weights)e(of)h(the)e Ft(i)9 b FL(th)26
b(v)o(erte)o(x)g(are)g(stored)g(in)h Fs(ncon)e FL(consecuti)n(v)o(e)g
(entries)h(starting)h(at)g(location)e Fp(vwgt[)o Ft(i)31
b FM(\003)23 b Fd(ncon)p Fp(])p FL(.)44 b(Note)27 b(that)f(if)0
4493 y(each)d(v)o(erte)o(x)g(has)h(only)f(a)h(single)f(weight,)h(then)g
Fp(vwgt)f FL(will)i(contain)d Ft(n)28 b FL(elements,)c(and)f
Fp(vwgt[)o Ft(i)9 b Fp(])23 b FL(will)h(store)g(the)g(weight)f(of)h
(the)-1 4603 y Ft(i)9 b FL(th)21 b(v)o(erte)o(x.)26 b(The)21
b(v)o(erte)o(x-weights)d(must)j(be)g(inte)o(gers)f(greater)h(or)f
(equal)h(to)g(zero.)27 b(If)21 b(all)h(the)f(v)o(ertices)f(of)h(the)g
(graph)f(ha)n(v)o(e)g(the)h(same)0 4712 y(weight)f(\()p
Fs(i.e)o FL(.,)g(the)h(graph)d(is)j(unweighted\),)d(then)i(the)g
Fp(vwgt)g FL(can)g(be)g(set)h(to)f(NULL.)100 4822 y(The)c(weights)h(of)
g(the)h(edges)e(\(if)h(an)o(y\))f(are)i(stored)e(in)h(an)h(additional)d
(array)i(called)g Fp(adjwgt)p FL(.)23 b(This)17 b(array)g(contains)f(2)
p Ft(m)22 b FL(elements,)0 4931 y(and)j(the)g(weight)g(of)g(edge)g
Fp(adjncy[)14 b Ft(j)9 b Fp(])23 b FL(is)j(stored)f(at)h(location)e
Fp(adjwgt[)14 b Ft(j)9 b Fp(])p FL(.)39 b(The)25 b(edge-weights)e(must)
j(be)f(inte)o(gers)g(greater)0 5041 y(than)c(zero.)27
b(If)21 b(all)h(the)f(edges)f(of)h(the)g(graph)f(ha)n(v)o(e)h(the)g
(same)g(weight)g(\()p Fs(i.e)o FL(.,)h(the)f(graph)f(is)i
(unweighted\),)c(then)j(the)g Fp(adjwgt)g FL(can)g(be)0
5150 y(set)g(to)f(NULL.)100 5260 y(All)26 b(of)f(these)h(four)e(arrays)
h(\()p Fs(xadj)p FL(,)g Fs(adjncy)p FL(,)h Fs(vwgt)p
FL(,)h(and)e Fs(adjwgt)p FL(\))f(are)i(de\002ned)e(in)k
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)29 b FL(to)c(be)h(of)f(of)g
(type)g Fp(idxtype)p FL(.)40 b(By)0 5370 y(def)o(ault)27
b Fp(idxtype)g FL(is)h(set)h(to)e(be)h(equi)n(v)n(alent)e(to)i(type)f
Fp(int)g FL(\()p Fs(i.e)p FL(.,)i(the)f(inte)o(ger)e(datatype)h(of)g
(C\).)h(Ho)n(we)n(v)o(er)m(,)f Fp(idxtype)g FL(can)h(be)1908
5649 y(18)p eop
%%Page: 19 19
19 18 bop 0 83 a FL(made)18 b(to)h(be)f(equi)n(v)n(alent)f(to)i(a)g
Fp(short)49 b(int)19 b FL(for)f(certain)g(architectures)f(that)i(use)g
(64-bit)f(inte)o(gers)g(by)g(def)o(ault.)24 b(The)18
b(con)m(v)o(ersion)e(of)0 193 y Fp(idxtype)j FL(from)f
Fp(int)i FL(to)f Fp(short)g FL(can)h(be)f(done)g(by)g(modifying)e(the)i
(\002le)h Fp(Lib/struct.h)e FL(\(instructions)g(are)i(included)e
(there\).)0 302 y(The)i(same)g Fp(idxtype)g FL(is)h(used)f(for)f(the)h
(arrays)g(that)g(are)g(used)g(to)h(store)f(the)g(computed)e(partition)h
(and)h(permutation)e(v)o(ector)-5 b(.)0 530 y Fr(5.2)100
b(Mesh)28 b(Data)h(Structure)0 689 y FL(All)21 b(of)e(the)h(mesh)g
(partitioning)e(and)h(mesh)h(con)m(v)o(ersion)d(routines)i(in)k
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)23 b FL(tak)o(e)d(as)g
(input)g(the)g(element)f(node)g(array)g(of)h(a)g(mesh.)0
799 y(This)e(element)f(node)g(array)g(is)i(stored)e(using)h(an)f(array)
g(called)h Fp(elmnts)p FL(.)24 b(F)o(or)17 b(a)h(mesh)g(with)g
Ft(n)k FL(elements)17 b(and)h Ft(k)23 b FL(nodes)17 b(per)g(element,)0
908 y(the)k(size)i(of)e(the)g Fp(elmnts)g FL(array)g(is)h
Ft(n)h FM(\003)c Ft(k)5 b FL(.)29 b(Note)22 b(that)f(since)h(the)f
(supported)f(elements)h(in)j Fz(M)l FG(E)-17 b Fz(T)g
FG(I)p Fz(S)25 b FL(are)d(only)e(triangles,)h(tetrahedra,)0
1018 y(he)o(xahedra,)c(and)j(quadrilaterals,)e(the)j(possible)f(v)n
(alues)f(for)h Ft(k)25 b FL(are)c(3,)f(4,)g(8,)g(and)f(4,)h(respecti)n
(v)o(ely)-5 b(.)100 1127 y(The)21 b(element)g(node)g(array)g(of)h(the)f
(mesh)h(is)h(stored)e(in)h Fp(elmnts)f FL(as)i(follo)n(ws.)29
b(Assuming)22 b(that)g(the)f(element)h(numbering)d(starts)0
1237 y(from)e(0)i(\(C)f(style\),)h(then)f(the)g Ft(k)24
b FL(nodes)17 b(that)i(mak)o(e)f(up)f(element)g Ft(i)28
b FL(are)18 b(stored)g(in)g(array)f Fp(elmnts)h FL(starting)g(at)h
(inde)o(x)d Ft(i)k FM(\003)11 b Ft(k)24 b FL(and)18 b(ending)0
1347 y(\(b)n(ut)23 b(not)h(including\))d(inde)o(x)i Fu(.)o
Ft(i)29 b FM(C)21 b FL(1)p Fu(/)f FM(\003)i Ft(k)5 b
FL(.)36 b(As)24 b(it)g(w)o(as)h(the)f(case)g(with)g(the)f(format)g(of)g
(the)h(mesh)f(\002le)i(described)d(in)i(Section)f(4.5.2,)0
1456 y(the)d(ordering)e(of)h(the)h(nodes)f(is)i(not)f(important)e(for)h
(triangle)g(and)h(tetrahedra)e(elements.)25 b(Ho)n(we)n(v)o(er)m(,)17
b(in)k(the)e(case)i(of)e(he)o(xahedra,)f(the)0 1566 y(nodes)h(for)h
(each)g(element)f(must)i(be)f(ordered)e(according)g(to)j(the)f
(numbering)d(illustrated)j(in)g(Figure)g(9\(b\).)100
1675 y(The)h(array)g(that)h(describes)f(the)g(element)h(node)e(array)h
(of)g(the)h(mesh)g(is)g(de\002ned)f(in)j Fz(M)l FG(E)-17
b Fz(T)g FG(I)p Fz(S)r(lib)25 b FL(to)d(be)f(of)h(type)f
Fp(idxtype)p FL(,)g(which)0 1785 y(by)f(def)o(ault)f(is)i(equi)n(v)n
(alent)e(to)h Fp(int)g FL(\()p Fs(i.e)p FL(.,)g(inte)o(gers\).)0
2012 y Fr(5.3)100 b(P)m(ar)r(titioning)27 b(Objectives)0
2172 y FL(The)d(partitioning)e(algorithms)h(in)j Fz(M)l
FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)27 b FL(can)d(be)g(used)g(to)g
(compute)e(a)j(balanced)e Ft(k)5 b FL(-w)o(ay)23 b(partitioning)f(that)
i(minimizes)g(either)0 2281 y(the)g(number)d(of)j(edges)f(that)g
(straddle)g(partitions)g(\()p Fs(edg)o(ecut)p FL(\))f(or)h(the)h(total)
g(communication)c(v)n(olume)j(\()p Fs(totalv)p FL(\).)34
b(In)23 b(the)h(rest)g(of)f(this)0 2391 y(section)d(we)h(brie\003y)e
(describe)g(these)i(tw)o(o)f(objecti)n(v)o(es)f(and)h(pro)o(vide)e
(some)i(suggestions)f(on)h(when)g(the)o(y)f(should)g(be)h(used.)0
2600 y FB(Minimizing)j(the)h(Edg)q(e-Cut)99 b FL(Consider)20
b(a)i(graph)g Ft(G)30 b FM(D)25 b Fu(.)r Ft(V)8 b Fu(;)20
b Ft(E)7 b Fu(/)p FL(,)22 b(and)f(let)29 b Ft(P)f FL(be)21
b(a)h(v)o(ector)e(of)h(size)h FM(j)r Ft(V)13 b FM(j)21
b FL(such)g(that)29 b Ft(P)6 b FM(T)o Ft(i)j FM(U)21
b FL(stores)0 2710 y(the)f(number)f(of)h(the)g(partition)g(that)g(v)o
(erte)o(x)e Ft(i)29 b FL(belongs)19 b(to.)26 b(The)20
b Fs(edg)o(ecut)f FL(of)h(this)h(partitioning)d(is)k(de\002ned)d(as)i
(the)f(number)f(of)h(edges)0 2819 y(that)d(straddle)f(partitions.)23
b(That)16 b(is,)i(the)e(number)f(of)i(edges)f Fu(.v)s(;)e
Ft(u)t Fu(/)k FL(for)e(which)23 b Ft(P)6 b FM(T)p Fu(v)s
FM(U)24 b(6)r(D)30 b Ft(P)6 b FM(T)p Ft(u)t FM(U)p FL(.)24
b(If)17 b(the)f(graph)g(has)g(weights)h(associated)0
2929 y(with)j(the)h(edges,)e(then)h(the)g(edgecut)f(is)i(de\002ned)e
(as)i(the)f(sum)h(of)e(the)i(weight)e(of)h(these)h(straddling)e(edges.)
0 3138 y FB(Minimizing)26 b(the)h(T)-7 b(otal)28 b(Comm)n(unication)e
(V)-7 b(olume)99 b FL(Consider)23 b(a)i(graph)f Ft(G)36
b FM(D)30 b Fu(.)r Ft(V)8 b Fu(;)20 b Ft(E)7 b Fu(/)p
FL(,)26 b(and)d(let)32 b Ft(P)f FL(be)25 b(a)f(v)o(ector)f(of)h(size)0
3248 y FM(j)r Ft(V)12 b FM(j)20 b FL(such)f(that)26 b
Ft(P)6 b FM(T)o Ft(i)j FM(U)19 b FL(stores)g(the)g(number)f(of)g(the)h
(partition)f(that)i(v)o(erte)o(x)c Ft(i)28 b FL(belongs)18
b(to.)25 b(Let)c Ft(V)2726 3260 y Ff(b)2786 3248 y FM(\032)k
Ft(V)32 b FL(be)19 b(the)g(subset)g(of)g(interf)o(ace)f(\(or)0
3357 y(boarder\))i(v)o(ertices.)32 b(That)23 b(is,)h(each)e(v)o(erte)o
(x)g Fu(v)31 b FM(2)f Ft(V)1497 3369 y Ff(b)1557 3357
y FL(is)24 b(connected)d(to)h(at)i(least)f(one)f(v)o(erte)o(x)f(that)i
(belongs)f(to)h(a)g(dif)n(ferent)e(partition.)0 3467
y(F)o(or)h(each)g(v)o(erte)o(x)e Fu(v)31 b FM(2)e Ft(V)740
3479 y Ff(b)799 3467 y FL(let)g Ft(N)8 b(a)t(d)k(j)d
FM(T)p Fu(v)s FM(U)22 b FL(be)g(the)g(number)e(of)i(domains)f(other)h
(than)28 b Ft(P)6 b FM(T)p Fu(v)s FM(U)24 b FL(that)e(the)g(v)o
(ertices)g(adjacent)f(to)i Fu(v)j FL(belong)0 3577 y(to.)f(The)20
b Fs(totalv)g FL(of)g(this)g(partitioning)f(is)i(de\002ned)e(as:)1561
3778 y Fs(totalv)j FM(D)1873 3699 y Fc(X)1861 3872 y
Fg(v)s Fe(2)r Ff(V)1974 3882 y Fa(b)2023 3778 y Ft(N)8
b(a)t(d)k(j)d FM(T)p Fu(v)s FM(U)p Fu(:)1463 b FL(\(1\))0
4048 y(Equation)19 b(1)i(corresponds)e(to)i(the)g(total)g
(communication)d(v)n(olume)i(incurred)f(by)h(the)h(partitioning)e
(because)h(each)h(interf)o(ace)f(v)o(erte)o(x)0 4158
y Fu(v)25 b FL(needs)19 b(to)i(be)f(sent)g(to)h(all)f(of)g(its)28
b Ft(N)8 b(a)t(d)k(j)d FM(T)p Fu(v)s FM(U)19 b FL(partitions.)100
4267 y(The)k(abo)o(v)o(e)e(model)i(can)g(be)g(e)o(xtended)e(to)j
(instances)f(in)h(which)e(the)i(amount)e(of)h(data)g(that)g(needs)g(to)
h(be)f(sent)h(for)e(each)h(node)g(is)0 4377 y(dif)n(ferent.)g(In)c
(particular)m(,)f(if)i Fu(w)907 4389 y Fg(v)964 4377
y FL(is)h(the)e(amount)f(of)h(data)h(that)f(needs)g(to)h(be)f(sent)h
(for)f(v)o(erte)o(x)f Fu(v)s FL(,)j(then)e(Equation)e(1)j(can)f(be)h
(re-written)0 4487 y(as:)1512 4596 y Fs(totalv)i FM(D)1824
4517 y Fc(X)1812 4691 y Fg(v)s Fe(2)r Ff(V)1925 4701
y Fa(b)1967 4596 y Fu(w)2028 4608 y Fg(v)2072 4596 y
Ft(N)8 b(a)t(d)k(j)d FM(T)p Fu(v)s FM(U)p Fu(:)1414 b
FL(\(2\))2 4835 y Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)24
b FL(supports)19 b(this)j(weighted)d(totalv)h(model)g(by)g(using)h(an)f
(array)g(called)g Fp(vsize)g FL(such)h(that)g(the)f(amount)f(of)i(data)
f(that)h(needs)0 4944 y(to)h(be)f(sent)h(due)f(to)h(the)f
Ft(i)9 b FL(th)21 b(v)o(erte)o(x)f(is)j(stored)e(in)h
Fp(vsize[)o Ft(i)9 b Fp(])p FL(.)28 b(Note)22 b(that)f(the)h(amount)e
(of)i(data)f(that)h(needs)f(to)h(be)g(sent)g(is)g(dif)n(ferent)0
5054 y(from)j(the)g Fs(weight)h FL(of)f(the)h(v)o(erte)o(x.)39
b(The)25 b(former)g(corresponds)e(to)j(communication)c(cost)k(whereas)f
(the)h(later)g(corresponds)d(to)j(the)0 5164 y(computational)18
b(cost.)100 5273 y(Note)j(that)h(for)f(partitioning)e(algorithms)h(to)i
(correctly)e(minimize)h(the)h(totalv)-5 b(,)20 b(the)i(graph)e(should)h
(re\003ect)g(the)h(true)f(information)0 5383 y(e)o(xchange)c
(requirements)g(of)i(the)g(underlying)e(computations.)23
b(F)o(or)18 b(instance,)h(the)h(dual)e(graph)g(of)h(a)h(\002nite)f
(element)g(mesh)g(does)g(not)1908 5649 y(19)p eop
%%Page: 20 20
20 19 bop 0 83 a FL(correctly)19 b(model)g(the)h(underlying)e
(communication,)f(whereas)j(the)g(nodal)f(graph)g(does.)0
292 y FB(Whic)o(h)h(one)e(is)i(Better?)99 b FL(When)17
b(partitioning)d(is)k(used)f(to)g(distrib)n(ute)f(a)h(graph)e(or)i(a)g
(mesh)g(among)e(the)i(processors)e(of)i(a)g(parallel)0
402 y(computer)m(,)24 b(the)i(edgecut)e(is)i(only)e(an)i(approximation)
c(of)j(the)g(true)g(communication)e(cost)i(resulting)g(from)f(the)h
(partitioning.)39 b(On)0 511 y(the)25 b(other)e(hand,)i(by)f
(minimizing)f(the)h(totalv)g(we)h(can)g(directly)e(minimize)h(the)h(o)o
(v)o(erall)e(communication)e(cost.)39 b(Despite)24 b(of)h(that,)0
621 y(for)i(man)o(y)f(graphs)h(the)g(solutions)g(obtained)f(by)h
(minimizing)f(the)i(edgecut)e(or)h(minimizing)f(the)i(totalv)-5
b(,)28 b(are)g(comparable.)44 b(This)0 731 y(is)27 b(especially)g(true)
f(for)g(graphs)f(corresponding)e(to)k(well-shaped)e(\002nite)i(element)
f(meshes.)43 b(This)27 b(is)h(because)d(for)h(these)h(graphs,)0
840 y(the)e(de)o(grees)f(of)g(the)h(v)n(arious)f(v)o(ertices)h(are)g
(similar)g(and)f(the)h(objecti)n(v)o(es)f(of)h(minimizing)e(the)i
(edgecut)f(or)g(the)h(totalv)g(beha)n(v)o(e)f(the)0 950
y(same.)38 b(On)25 b(the)g(other)e(hand,)i(if)g(the)f(v)o(erte)o(x)f
(de)o(grees)h(v)n(ary)f(signi\002cantly)h(\()p Fs(e)o(.g)o
FL(.,)h(graphs)f(corresponding)d(to)k(linear)f(programming)0
1059 y(matrices\),)19 b(then)h(by)g(minimizing)f(the)h(totalv)g(we)g
(can)g(obtain)g(a)g(signi\002cant)g(reduction)e(in)j(the)f(total)g
(communication)d(v)n(olume.)100 1169 y(In)j(terms)i(of)e(the)i(amount)d
(of)i(time)g(required)f(by)g(these)i(tw)o(o)f(partitioning)e(objecti)n
(v)o(es,)h(minimizing)g(the)h(edgecut)f(is)i(f)o(aster)f(than)0
1279 y(minimizing)28 b(the)h(totalv)-5 b(.)52 b(F)o(or)29
b(this)h(reason,)h(the)f(totalv)f(objecti)n(v)o(e)f(should)g(be)i(used)
f(only)g(for)f(problems)g(in)i(which)f(it)h(actually)0
1388 y(reduces)19 b(the)i(o)o(v)o(erall)d(communication)g(v)n(olume.)
1908 5649 y(20)p eop
%%Page: 21 21
21 20 bop 0 83 a Fr(5.4)100 b(Graph)27 b(P)m(ar)r(titioning)g(Routines)
0 240 y FB(METIS)p 258 240 25 4 v 31 w(P)n(ar)r(tGraphRecur)o(sive)20
b FL(\(int)g(*n,)g(idxtype)f(*xadj,)g(idxtype)f(*adjnc)o(y)-5
b(,)18 b(idxtype)h(*vwgt,)g(idxtype)g(*adjwgt,)g(int)h(*wgt\003ag,)1105
350 y(int)h(*num\003ag,)d(int)i(*nparts,)f(int)h(*options,)f(int)h
(*edgecut,)f(idxtype)f(*part\))0 587 y FB(Description)208
697 y FL(It)23 b(is)i(used)e(to)h(partition)f(a)h(graph)e(into)h
Ft(k)29 b FL(equal-size)23 b(parts)g(using)g(multile)n(v)o(el)g
(recursi)n(v)o(e)f(bisection.)35 b(It)23 b(pro)o(vides)f(the)i(func-)
208 806 y(tionality)c(of)i(the)f Fp(pmetis)g FL(program.)27
b(The)21 b(objecti)n(v)o(e)f(of)i(the)f(partitioning)f(is)i(to)g
(minimize)e(the)i(edgecut)e(\(as)i(described)e(in)208
916 y(Section)f(5.3\).)0 1087 y FB(P)n(arameter)o(s)208
1202 y FC(n)327 b FL(The)20 b(number)e(of)i(v)o(ertices)g(in)g(the)h
(graph.)208 1314 y FC(xadj,)e(adjncy)581 1423 y FL(The)h(adjacenc)o(y)e
(structure)i(of)g(the)g(graph)f(as)i(described)d(in)j(Section)f(5.1.)
208 1535 y FC(vwgt,)f(adjwgt)581 1645 y FL(Information)f(about)h(the)h
(weights)g(of)g(the)g(v)o(ertices)g(and)f(edges)h(as)h(described)e(in)h
(Section)g(5.1.)208 1783 y FC(wgt\003ag)113 b FL(Used)21
b(to)f(indicate)f(if)i(the)f(graph)f(is)i(weighted.)j
Fs(wgt\003a)o(g)19 b FL(can)h(tak)o(e)h(the)f(follo)n(wing)e(v)n
(alues:)581 1921 y(0)83 b(No)20 b(weights)g(\(vwgts)g(and)f(adjwgt)h
(are)g(NULL\))581 2045 y(1)83 b(W)-7 b(eights)21 b(on)e(the)h(edges)g
(only)g(\(vwgts)f(=)i(NULL\))581 2168 y(2)83 b(W)-7 b(eights)21
b(on)e(the)h(v)o(ertices)g(only)g(\(adjwgt)f(=)i(NULL\))581
2292 y(3)83 b(W)-7 b(eights)21 b(both)e(on)h(v)o(ertices)f(and)h
(edges.)208 2430 y FC(num\003ag)82 b FL(Used)22 b(to)f(indicate)g
(which)g(numbering)d(scheme)j(is)h(used)f(for)g(the)g(adjacenc)o(y)f
(structure)g(of)h(the)g(graph.)27 b Fs(num\003a)o(g)581
2540 y FL(can)20 b(tak)o(e)g(the)h(follo)n(wing)d(tw)o(o)j(v)n(alues:)
581 2678 y(0)83 b(C-style)20 b(numbering)e(is)j(assumed)f(that)g
(starts)h(from)e(0)581 2802 y(1)83 b(F)o(ortran-style)18
b(numbering)g(is)j(assumed)e(that)i(starts)g(from)e(1)208
2940 y FC(nparts)142 b FL(The)20 b(number)e(of)i(parts)g(to)h
(partition)e(the)h(graph.)208 3078 y FC(options)114 b
FL(This)22 b(is)g(an)f(array)f(of)h(5)h(inte)o(gers)e(that)h(is)i(used)
e(to)g(pass)h(parameters)e(for)h(the)g(v)n(arious)f(phases)h(of)g(the)g
(algorithm.)581 3187 y(If)j Fs(options[0]=0)e FL(then)h(def)o(ault)g(v)
n(alues)g(are)h(used.)34 b(If)24 b Fs(options[0]=1)p
FL(,)f(then)g(the)g(remaining)f(four)h(elements)g(of)581
3297 y Fs(options)c FL(are)i(interpreted)d(as)j(follo)n(ws:)581
3435 y(options[1])108 b(Determines)20 b(matching)e(type.)25
b(Possible)20 b(v)n(alues)g(are:)1033 3559 y(1)83 b(Random)19
b(Matching)g(\(RM\))1033 3683 y(2)83 b(Hea)n(vy-Edge)18
b(Matching)h(\(HEM\))1033 3806 y(3)83 b(Sorted)19 b(Hea)n(vy-Edge)f
(Matching)h(\(SHEM\))h(\(Def)o(ault\))1033 3930 y(Experiments)f(has)h
(sho)n(wn)g(that)g(both)f(HEM)h(and)g(SHEM)g(perform)f(quite)g(well.)
581 4054 y(options[2])108 b(Determines)20 b(the)g(algorithm)f(used)g
(during)g(initial)i(partitioning.)h(Possible)f(v)n(alues)f(are:)1033
4178 y(1)83 b(Re)o(gion)19 b(Gro)n(wing)g(\(Def)o(ault\))581
4302 y(options[3])108 b(Determines)20 b(the)g(algorithm)f(used)g(for)h
(re\002nement.)k(Possible)c(v)n(alues)g(are:)1033 4425
y(1)83 b(Early-Exit)18 b(Boundary)h(FM)h(re\002nement)f(\(Def)o(ault\))
581 4549 y(options[4])108 b(Used)21 b(for)e(deb)n(ugging)f(purposes.)23
b(Al)o(w)o(ays)e(set)g(it)g(to)f(0)h(\(Def)o(ault\).)208
4687 y FC(edgecut)100 b FL(Upon)19 b(successful)h(completion,)e(this)j
(v)n(ariable)e(stores)i(the)f(number)e(of)i(edges)g(that)g(are)g(cut)h
(by)e(the)i(partition.)208 4825 y FC(part)220 b FL(This)18
b(is)h(a)f(v)o(ector)e(of)i(size)g Fs(n)g FL(that)g(upon)e(successful)h
(completion)f(stores)i(the)g(partition)f(v)o(ector)f(of)h(the)h(graph.)
23 b(The)581 4935 y(numbering)18 b(of)i(this)g(v)o(ector)f(starts)i
(from)e(either)h(0)g(or)g(1,)g(depending)e(on)i(the)g(v)n(alue)g(of)f
Fs(num\003a)o(g)p FL(.)0 5106 y FB(Note)208 5216 y FL(This)d(function)f
(should)h(be)g(used)g(to)h(partition)f(a)g(graph)g(into)g(a)h(small)g
(number)e(of)h(partitions)g(\(less)h(than)f(8\).)23 b(If)17
b(a)g(lar)o(ge)e(number)208 5325 y(of)k(partitions)h(is)h(desired,)e
(the)h Fz(METIS)p 1369 5325 V 31 w(P)m(ar)s(tGr)o(aphKw)o(a)n(y)g
FL(should)f(be)i(used)e(instead,)h(as)h(it)g(is)g(signi\002cantly)e(f)o
(aster)-5 b(.)1908 5649 y(21)p eop
%%Page: 22 22
22 21 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(P)n(ar)r(tGraphKwa)n(y)
20 b FL(\(int)g(*n,)f(idxtype)g(*xadj,)g(idxtype)g(*adjnc)o(y)-5
b(,)18 b(idxtype)g(*vwgt,)i(idxtype)e(*adjwgt,)h(int)i(*wgt\003ag,)925
193 y(int)f(*num\003ag,)e(int)j(*nparts,)e(int)h(*options,)f(int)h
(*edgecut,)e(idxtype)h(*part\))0 380 y FB(Description)208
490 y FL(It)32 b(is)i(used)e(to)g(partition)g(a)g(graph)f(into)i
Ft(k)k FL(equal-size)32 b(parts)g(using)g(the)h(multile)n(v)o(el)e
Ft(k)5 b FL(-w)o(ay)32 b(partitioning)e(algorithm.)60
b(It)208 600 y(pro)o(vides)17 b(the)j(functionality)e(of)h(the)h
Fp(kmetis)f FL(program.)j(The)e(objecti)n(v)o(e)e(of)h(the)h
(partitioning)e(is)i(to)g(minimize)f(the)h(edgecut)208
709 y(\(as)g(described)f(in)h(Section)g(5.3\).)0 869
y FB(P)n(arameter)o(s)208 973 y FC(n)327 b FL(The)20
b(number)e(of)i(v)o(ertices)g(in)g(the)h(graph.)208 1074
y FC(xadj,)e(adjncy)581 1183 y FL(The)h(adjacenc)o(y)e(structure)i(of)g
(the)g(graph)f(as)i(described)d(in)j(Section)f(5.1.)208
1284 y FC(vwgt,)f(adjwgt)581 1394 y FL(Information)f(about)h(the)h
(weights)g(of)g(the)g(v)o(ertices)g(and)f(edges)h(as)h(described)e(in)h
(Section)g(5.1.)208 1521 y FC(wgt\003ag)113 b FL(Used)21
b(to)f(indicate)f(if)i(the)f(graph)f(is)i(weighted.)j
Fs(wgt\003a)o(g)19 b FL(can)h(tak)o(e)h(the)f(follo)n(wing)e(v)n
(alues:)581 1648 y(0)83 b(No)20 b(weights)g(\(vwgts)g(and)f(adjwgt)h
(are)g(NULL\))581 1766 y(1)83 b(W)-7 b(eights)21 b(on)e(the)h(edges)g
(only)g(\(vwgts)f(=)i(NULL\))581 1884 y(2)83 b(W)-7 b(eights)21
b(on)e(the)h(v)o(ertices)g(only)g(\(adjwgt)f(=)i(NULL\))581
2003 y(3)83 b(W)-7 b(eights)21 b(both)e(on)h(v)o(ertices)f(and)h
(edges.)208 2129 y FC(num\003ag)82 b FL(Used)22 b(to)f(indicate)g
(which)g(numbering)d(scheme)j(is)h(used)f(for)g(the)g(adjacenc)o(y)f
(structure)g(of)h(the)g(graph.)27 b Fs(num\003a)o(g)581
2239 y FL(can)20 b(tak)o(e)g(the)h(follo)n(wing)d(tw)o(o)j(v)n(alues:)
581 2366 y(0)83 b(C-style)20 b(numbering)e(is)j(assumed)f(that)g
(starts)h(from)e(0)581 2484 y(1)83 b(F)o(ortran-style)18
b(numbering)g(is)j(assumed)e(that)i(starts)g(from)e(1)208
2611 y FC(nparts)142 b FL(The)20 b(number)e(of)i(parts)g(to)h
(partition)e(the)h(graph.)208 2738 y FC(options)114 b
FL(This)22 b(is)g(an)f(array)f(of)h(5)h(inte)o(gers)e(that)h(is)i(used)
e(to)g(pass)h(parameters)e(for)h(the)g(v)n(arious)f(phases)h(of)g(the)g
(algorithm.)581 2848 y(If)j Fs(options[0]=0)e FL(then)h(def)o(ault)g(v)
n(alues)g(are)h(used.)34 b(If)24 b Fs(options[0]=1)p
FL(,)f(then)g(the)g(remaining)f(four)h(elements)g(of)581
2957 y Fs(options)c FL(are)i(interpreted)d(as)j(follo)n(ws:)581
3084 y(options[1])108 b(Determines)20 b(the)g(matching)f(type.)24
b(Possible)d(v)n(alues)e(are:)1033 3203 y(1)83 b(Random)19
b(Matching)g(\(RM\))1033 3321 y(2)83 b(Hea)n(vy-Edge)18
b(Matching)h(\(HEM\))1033 3439 y(3)83 b(Sorted)19 b(Hea)n(vy-Edge)f
(Matching)h(\(SHEM\))h(\(Def)o(ault\))1033 3557 y(Experiments)f(has)h
(sho)n(wn)g(that)g(both)f(HEM)h(and)g(SHEM)g(perform)f(quite)g(well.)
581 3676 y(options[2])108 b(Determines)20 b(the)g(algorithm)f(used)g
(during)g(initial)i(partitioning.)h(Possible)f(v)n(alues)f(are:)1033
3794 y(1)83 b(Multile)n(v)o(el)19 b(recursi)n(v)o(e)g(bisection)g
(\(Def)o(ault\))581 3912 y(options[3])108 b(Determines)20
b(the)g(algorithm)f(used)g(for)h(re\002nement.)k(Possible)c(v)n(alues)g
(are:)1033 4030 y(1)83 b(Random)19 b(boundary)e(re\002nement)1033
4149 y(2)83 b(Greedy)19 b(boundary)e(re\002nement)1033
4267 y(3)83 b(Random)19 b(boundary)e(re\002nement)i(that)h(also)h
(minimizes)f(the)g(connecti)n(vity)e(among)h(the)h(sub-)1158
4377 y(domains)f(\(Def)o(ault\))581 4495 y(options[4])108
b(Used)21 b(for)e(deb)n(ugging)f(purposes.)23 b(Al)o(w)o(ays)e(set)g
(it)g(to)f(0)h(\(Def)o(ault\).)208 4622 y FC(edgecut)100
b FL(Upon)19 b(successful)h(completion,)e(this)j(v)n(ariable)e(stores)i
(the)f(number)e(of)i(edges)g(that)g(are)g(cut)h(by)e(the)i(partition.)
208 4749 y FC(part)220 b FL(This)18 b(is)h(a)f(v)o(ector)e(of)i(size)g
Fs(n)g FL(that)g(upon)e(successful)h(completion)f(stores)i(the)g
(partition)f(v)o(ector)f(of)h(the)h(graph.)23 b(The)581
4858 y(numbering)18 b(of)i(this)g(v)o(ector)f(starts)i(from)e(either)h
(0)g(or)g(1,)g(depending)e(on)i(the)g(v)n(alue)g(of)f
Fs(num\003a)o(g)p FL(.)0 5019 y FB(Note)208 5128 y FL(This)24
b(function)f(should)g(be)i(used)f(to)h(partition)e(a)i(graph)e(into)h
(a)h(lar)o(ge)f(number)e(of)j(partitions)e(\(greater)g(than)h(8\).)38
b(If)24 b(a)h(small)208 5238 y(number)17 b(of)i(partitions)g(is)h
(desired,)f(the)g Fz(METIS)p 1639 5238 V 31 w(P)m(ar)s(tGr)o
(aphRecursiv)n(e)g FL(should)g(be)g(used)g(instead,)g(as)h(it)g
(produces)e(some-)208 5347 y(what)i(better)f(partitions.)1908
5649 y(22)p eop
%%Page: 23 23
23 22 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(P)n(ar)r(tGraphVKwa)n(y)
20 b FL(\(int)g(*n,)g(idxtype)e(*xadj,)h(idxtype)g(*adjnc)o(y)-5
b(,)18 b(idxtype)h(*vwgt,)g(idxtype)g(*vsize,)g(int)i(*wgt\003ag,)980
193 y(int)f(*num\003ag,)f(int)h(*nparts,)f(int)h(*options,)f(int)h(*v)n
(olume,)f(idxtype)g(*part\))0 452 y FB(Description)208
561 y FL(It)28 b(is)h(used)f(to)h(partition)e(a)i(graph)e(into)h
Ft(k)33 b FL(equal-size)28 b(parts)g(using)g(the)g(multile)n(v)o(el)f
Ft(k)5 b FL(-w)o(ay)28 b(partitioning)e(algorithm.)48
b(The)208 671 y(objecti)n(v)o(e)18 b(of)i(the)g(partitioning)f(is)i(to)
f(minimize)g(the)g(total)g(communication)d(v)n(olume)j(\(as)g
(described)f(in)h(Section)g(5.3\).)0 847 y FB(P)n(arameter)o(s)208
966 y FC(n)327 b FL(The)20 b(number)e(of)i(v)o(ertices)g(in)g(the)h
(graph.)208 1083 y FC(xadj,)e(adjncy)581 1193 y FL(The)h(adjacenc)o(y)e
(structure)i(of)g(the)g(graph)f(as)i(described)d(in)j(Sections)f(5.1)f
(and)h(5.3.)208 1309 y FC(vwgt,)f(vsize)581 1419 y FL(Information)h
(about)j(the)g(weights)g(of)g(the)g(v)o(ertices)f(related)h(to)g(the)g
(computation)e(and)i(communication)d(as)k(de-)581 1529
y(scribed)c(in)g(Section)g(5.1.)208 1671 y FC(wgt\003ag)113
b FL(Used)21 b(to)f(indicate)f(if)i(the)f(graph)f(is)i(weighted.)j
Fs(wgt\003a)o(g)19 b FL(can)h(tak)o(e)h(the)f(follo)n(wing)e(v)n
(alues:)581 1814 y(0)83 b(No)20 b(weights)g(\(vwgts)g(and)f(vsize)i
(are)f(NULL\))581 1940 y(1)83 b(Communication)18 b(weights)i(only)f
(\(vwgts)h(=)g(NULL\))581 2067 y(2)83 b(Computation)18
b(weights)i(only)f(\(vsize)h(=)h(NULL\))581 2193 y(3)83
b(Both)20 b(communication)d(and)j(computation)e(weights.)208
2335 y FC(num\003ag)82 b FL(Used)22 b(to)f(indicate)g(which)g
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(adjacenc)o(y)f(structure)
g(of)h(the)g(graph.)27 b Fs(num\003a)o(g)581 2445 y FL(can)20
b(tak)o(e)g(the)h(follo)n(wing)d(tw)o(o)j(v)n(alues:)581
2588 y(0)83 b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h
(from)e(0)581 2714 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j
(assumed)e(that)i(starts)g(from)e(1)208 2857 y FC(nparts)142
b FL(The)20 b(number)e(of)i(parts)g(to)h(partition)e(the)h(graph.)208
3000 y FC(options)114 b FL(This)22 b(is)g(an)f(array)f(of)h(5)h(inte)o
(gers)e(that)h(is)i(used)e(to)g(pass)h(parameters)e(for)h(the)g(v)n
(arious)f(phases)h(of)g(the)g(algorithm.)581 3109 y(If)j
Fs(options[0]=0)e FL(then)h(def)o(ault)g(v)n(alues)g(are)h(used.)34
b(If)24 b Fs(options[0]=1)p FL(,)f(then)g(the)g(remaining)f(four)h
(elements)g(of)581 3219 y Fs(options)c FL(are)i(interpreted)d(as)j
(follo)n(ws:)581 3362 y(options[1])108 b(Determines)20
b(the)g(matching)f(type.)24 b(Possible)d(v)n(alues)e(are:)1033
3488 y(1)83 b(Random)19 b(Matching)g(\(RM\))1033 3614
y(2)83 b(Hea)n(vy-Edge)18 b(Matching)h(\(HEM\))1033 3740
y(3)83 b(Sorted)19 b(Hea)n(vy-Edge)f(Matching)h(\(SHEM\))h(\(Def)o
(ault\))1033 3866 y(Experiments)f(has)h(sho)n(wn)g(that)g(both)f(HEM)h
(and)g(SHEM)g(perform)f(quite)g(well.)581 3993 y(options[2])108
b(Determines)20 b(the)g(algorithm)f(used)g(during)g(initial)i
(partitioning.)h(Possible)f(v)n(alues)f(are:)1033 4119
y(1)83 b(Multile)n(v)o(el)19 b(recursi)n(v)o(e)g(bisection)g(\(Def)o
(ault\))581 4245 y(options[3])108 b(Determines)20 b(the)g(algorithm)f
(used)g(for)h(re\002nement.)k(Possible)c(v)n(alues)g(are:)1033
4371 y(1)83 b(Random)19 b(boundary)e(re\002nement)i(\(Def)o(ault\))1033
4497 y(3)83 b(Random)19 b(boundary)e(re\002nement)i(that)h(also)h
(minimizes)f(the)g(connecti)n(vity)e(among)h(the)h(sub-)1158
4607 y(domains)581 4733 y(options[4])108 b(Used)21 b(for)e(deb)n
(ugging)f(purposes.)23 b(Al)o(w)o(ays)e(set)g(it)g(to)f(0)h(\(Def)o
(ault\).)208 4876 y FC(v)o(olume)115 b FL(Upon)28 b(successful)h
(completion,)g(this)g(v)n(ariable)f(stores)h(the)g(total)g
(communication)d(v)n(olume)h(requires)h(by)h(the)581
4986 y(partition.)208 5128 y FC(part)220 b FL(This)18
b(is)h(a)f(v)o(ector)e(of)i(size)g Fs(n)g FL(that)g(upon)e(successful)h
(completion)f(stores)i(the)g(partition)f(v)o(ector)f(of)h(the)h(graph.)
23 b(The)581 5238 y(numbering)18 b(of)i(this)g(v)o(ector)f(starts)i
(from)e(either)h(0)g(or)g(1,)g(depending)e(on)i(the)g(v)n(alue)g(of)f
Fs(num\003a)o(g)p FL(.)1908 5649 y(23)p eop
%%Page: 24 24
24 23 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(mCP)n(ar)r(tGraphRecur)o
(sive)20 b FL(\(int)g(*n,)f(int)i(*ncon,)d(idxtype)h(*xadj,)g(idxtype)g
(*adjnc)o(y)-5 b(,)18 b(idxtype)g(*vwgt,)i(idxtype)e(*adjwgt,)1239
193 y(int)i(*wgt\003ag,)f(int)i(*num\003ag,)d(int)i(*nparts,)f(int)i
(*options,)d(int)j(*edgecut,)d(idxtype)h(*part\))0 447
y FB(Description)208 557 y FL(It)g(is)h(used)f(to)h(partition)e(a)h
(graph)f(into)h Ft(k)25 b FL(parts)19 b(such)g(that)g(multiple)g
(balancing)e(constraints)i(are)g(satis\002ed.)25 b(It)20
b(uses)g(the)f(multi-)208 666 y(constraint)h(multile)n(v)o(el)h
(recursi)n(v)o(e)f(bisection)h(algorithm.)27 b(It)22
b(pro)o(vides)e(the)h(functionality)f(of)h(the)h Fp(pmetis)f
FL(program)e(when)208 776 y(it)g(is)g(used)g(to)f(compute)f(a)i
(multi-constraint)e(partitioning.)22 b(The)d(objecti)n(v)o(e)e(of)h
(the)h(partitioning)d(is)k(to)e(minimize)g(the)h(edgecut)208
885 y(\(as)h(described)f(in)h(Section)g(5.3\).)0 1060
y FB(P)n(arameter)o(s)208 1179 y FC(n)327 b FL(The)20
b(number)e(of)i(v)o(ertices)g(in)g(the)h(graph.)208 1321
y FC(ncon)202 b FL(The)20 b(number)e(of)i(constraints.)25
b(This)20 b(should)f(be)h(greater)f(than)h(one)g(and)f(smaller)i(than)e
(15.)208 1436 y FC(xadj,)g(adjncy)581 1546 y FL(The)h(adjacenc)o(y)e
(structure)i(of)g(the)g(graph)f(as)i(described)d(in)j(Section)f(5.1.)
208 1662 y FC(vwgt,)f(adjwgt)581 1771 y FL(Information)k(about)h(the)h
(weights)g(of)g(the)h(v)o(ertices)e(and)h(edges)g(as)h(described)e(in)h
(Section)g(5.1.)40 b(Note)25 b(that)h(the)581 1881 y(weight)20
b(v)o(ector)f(must)h(be)g(supplied)f(and)h(it)h(should)e(be)h(of)g
(size)h Fz(n*ncon)p FL(.)208 2023 y FC(wgt\003ag)113
b FL(Used)21 b(to)f(indicate)f(if)i(the)f(graph)f(is)i(weighted.)j
Fs(wgt\003a)o(g)19 b FL(can)h(tak)o(e)h(the)f(follo)n(wing)e(v)n
(alues:)581 2164 y(0)83 b(No)20 b(weights)g(\(adjwgt)f(is)i(NULL\))581
2290 y(1)83 b(W)-7 b(eights)21 b(on)e(the)h(edges.)208
2432 y FC(num\003ag)82 b FL(Used)22 b(to)f(indicate)g(which)g
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(adjacenc)o(y)f(structure)
g(of)h(the)g(graph.)27 b Fs(num\003a)o(g)581 2541 y FL(can)20
b(tak)o(e)g(the)h(follo)n(wing)d(tw)o(o)j(v)n(alues:)581
2683 y(0)83 b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h
(from)e(0)581 2809 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j
(assumed)e(that)i(starts)g(from)e(1)208 2951 y FC(nparts)142
b FL(The)20 b(number)e(of)i(parts)g(to)h(partition)e(the)h(graph.)208
3092 y FC(options)114 b FL(This)22 b(is)g(an)f(array)f(of)h(5)h(inte)o
(gers)e(that)h(is)i(used)e(to)g(pass)h(parameters)e(for)h(the)g(v)n
(arious)f(phases)h(of)g(the)g(algorithm.)581 3202 y(If)j
Fs(options[0]=0)e FL(then)h(def)o(ault)g(v)n(alues)g(are)h(used.)34
b(If)24 b Fs(options[0]=1)p FL(,)f(then)g(the)g(remaining)f(four)h
(elements)g(of)581 3312 y Fs(options)c FL(are)i(interpreted)d(as)j
(follo)n(ws:)581 3453 y(options[1])108 b(Determines)20
b(the)g(matching)f(type.)24 b(Possible)d(v)n(alues)e(are:)1033
3579 y(1)83 b(Random)19 b(Matching)g(\(RM\))1033 3705
y(2)83 b(Hea)n(vy-Edge)18 b(Matching)h(\(HEM\))1033 3830
y(3)83 b(Sorted)19 b(Hea)n(vy-Edge)f(Matching)h(\(SHEM\))h(\(Def)o
(ault\))1033 3956 y(5)83 b(Sorted)19 b(Hea)n(vy-Edge)f(Matching)h
(follo)n(wed)g(by)h(1-norm)e(Balanced-edge)g(\(SHEBM1N\))1033
4082 y(6)83 b(Sorted)28 b(Hea)n(vy-Edge)f(Matching)h(follo)n(wed)g(by)h
FM(1)p FL(-norm)e(Balanced-edge)g(\(SHEBMIN\))1158 4191
y(\(Def)o(ault\))1033 4317 y(7)83 b(1-norm)18 b(Balanced-edge)g(follo)n
(wed)h(by)h(Hea)n(vy-Edge)e(Matching)h(\(SBHEM1N\))1033
4443 y(8)83 b FM(1)p FL(-norm)18 b(Balanced-edge)g(follo)n(wed)h(by)h
(Hea)n(vy-Edge)e(Matching)h(\(SBHEMIN\))1033 4568 y(Experiments)g(has)j
(sho)n(wn)e(that)h(for)g(simple)g(balancing)e(problems,)h(the)h
(schemes)g(that)g(gi)n(v)o(e)f(pri-)1033 4678 y(ority)15
b(to)h(hea)n(vy)e(edges)h(\()p Fs(e)o(.g)o FL(.,)h(SHEM,)g(SHEBM1N,)f
(SHEBMIN\))g(perform)e(better)m(,)j(and)f(for)f(hard)1033
4788 y(balancing)i(problems,)f(the)i(schemes)g(that)g(gi)n(v)o(e)g
(priority)e(to)i(balanced)f(edges)h(\()p Fs(e)o(.g)n
FL(.,)h(SBHEM1N,)1033 4897 y(SBHEMIN\))i(perform)e(better)-5
b(.)581 5023 y(options[2])108 b(Determines)20 b(the)g(algorithm)f(used)
g(during)g(initial)i(partitioning.)h(Possible)f(v)n(alues)f(are:)1033
5149 y(1)83 b(Multi-constraint)18 b(Greedy)h(Graph)g(Gro)n(wing)1033
5274 y(2)83 b(Random)19 b(\(Def)o(ault\))581 5400 y(options[3])108
b(Determines)20 b(the)g(algorithm)f(used)g(for)h(re\002nement.)k
(Possible)c(v)n(alues)g(are:)1908 5649 y(24)p eop
%%Page: 25 25
25 24 bop 1033 83 a FL(1)83 b(Early-Exit)18 b(Boundary)h(FM)h
(re\002nement)f(\(Def)o(ault\))581 209 y(options[4])108
b(Used)21 b(for)e(deb)n(ugging)f(purposes.)23 b(Al)o(w)o(ays)e(set)g
(it)g(to)f(0)h(\(Def)o(ault\).)208 352 y FC(edgecut)100
b FL(Upon)19 b(successful)h(completion,)e(this)j(v)n(ariable)e(stores)i
(the)f(number)e(of)i(edges)g(that)g(are)g(cut)h(by)e(the)i(partition.)
208 495 y FC(part)220 b FL(This)18 b(is)h(a)f(v)o(ector)e(of)i(size)g
Fs(n)g FL(that)g(upon)e(successful)h(completion)f(stores)i(the)g
(partition)f(v)o(ector)f(of)h(the)h(graph.)23 b(The)581
604 y(numbering)18 b(of)i(this)g(v)o(ector)f(starts)i(from)e(either)h
(0)g(or)g(1,)g(depending)e(on)i(the)g(v)n(alue)g(of)f
Fs(num\003a)o(g)p FL(.)0 780 y FB(Note)208 890 y FL(This)d(function)f
(should)g(be)i(used)f(to)h(partition)e(a)i(graph)e(into)h(a)h(small)g
(number)e(of)h(partitions.)23 b(If)16 b(a)h(lar)o(ge)e(number)g(of)h
(partitions)208 1000 y(is)24 b(desired,)g(the)g Fz(METIS)p
957 1000 25 4 v 31 w(mCP)m(ar)s(tGr)o(aphKw)o(a)n(y)g
FL(should)f(be)h(used)g(instead,)g(as)h(it)f(produces)f(some)n(what)g
(better)g(partitions)208 1109 y(\(both)c(in)h(terms)g(of)g(quality)f
(and)h(balance\).)1908 5649 y(25)p eop
%%Page: 26 26
26 25 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(mCP)n(ar)r(tGraphKwa)n
(y)19 b FL(\(int)i(*n,)e(int)h(*ncon,)f(idxtype)g(*xadj,)g(idxtype)g
(*adjnc)o(y)-5 b(,)17 b(idxtype)i(*vwgt,)g(idxtype)g(*adjwgt,)1058
193 y(int)i(*wgt\003ag,)e(int)h(*num\003ag,)f(int)h(*nparts,)f(\003oat)
h(*ub)o(v)o(ec,)e(int)i(*options,)f(int)h(*edgecut,)1058
302 y(idxtype)f(*part\))0 560 y FB(Description)208 669
y FL(It)g(is)h(used)f(to)h(partition)e(a)h(graph)f(into)h
Ft(k)25 b FL(parts)19 b(such)g(that)g(multiple)g(balancing)e
(constraints)i(are)g(satis\002ed.)25 b(It)20 b(uses)g(the)f(multi-)208
779 y(constraint)i(multile)n(v)o(el)g Ft(k)5 b FL(-w)o(ay)21
b(partitioning)f(algorithm.)29 b(It)22 b(pro)o(vides)e(the)i
(functionality)e(of)i(the)g Fp(kmetis)f FL(program)f(when)208
889 y(it)f(is)g(used)g(to)f(compute)f(a)i(multi-constraint)e
(partitioning.)22 b(The)d(objecti)n(v)o(e)e(of)h(the)h(partitioning)d
(is)k(to)e(minimize)g(the)h(edgecut)208 998 y(\(as)h(described)f(in)h
(Section)g(5.3\).)0 1174 y FB(P)n(arameter)o(s)208 1293
y FC(n)327 b FL(The)20 b(number)e(of)i(v)o(ertices)g(in)g(the)h(graph.)
208 1436 y FC(ncon)202 b FL(The)20 b(number)e(of)i(constraints.)25
b(This)20 b(should)f(be)h(greater)f(than)h(one)g(and)f(smaller)i(than)e
(15.)208 1552 y FC(xadj,)g(adjncy)581 1662 y FL(The)h(adjacenc)o(y)e
(structure)i(of)g(the)g(graph)f(as)i(described)d(in)j(Section)f(5.1.)
208 1778 y FC(vwgt,)f(adjwgt)581 1887 y FL(Information)k(about)h(the)h
(weights)g(of)g(the)h(v)o(ertices)e(and)h(edges)g(as)h(described)e(in)h
(Section)g(5.1.)40 b(Note)25 b(that)h(the)581 1997 y(weight)20
b(v)o(ector)f(must)h(be)g(supplied)f(and)h(it)h(should)e(be)h(of)g
(size)h Fz(n*ncon)p FL(.)208 2140 y FC(wgt\003ag)113
b FL(Used)21 b(to)f(indicate)f(if)i(the)f(graph)f(is)i(weighted.)j
Fs(wgt\003a)o(g)19 b FL(can)h(tak)o(e)h(the)f(follo)n(wing)e(v)n
(alues:)581 2282 y(0)83 b(No)20 b(weights)g(\(adjwgt)f(is)i(NULL\))581
2408 y(1)83 b(W)-7 b(eights)21 b(on)e(the)h(edges.)208
2551 y FC(num\003ag)82 b FL(Used)22 b(to)f(indicate)g(which)g
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(adjacenc)o(y)f(structure)
g(of)h(the)g(graph.)27 b Fs(num\003a)o(g)581 2660 y FL(can)20
b(tak)o(e)g(the)h(follo)n(wing)d(tw)o(o)j(v)n(alues:)581
2803 y(0)83 b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h
(from)e(0)581 2929 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j
(assumed)e(that)i(starts)g(from)e(1)208 3071 y FC(nparts)142
b FL(The)20 b(number)e(of)i(parts)g(to)h(partition)e(the)h(graph.)208
3214 y FC(ub)o(v)o(ec)167 b FL(This)24 b(is)h(a)g(v)o(ector)e(of)g
(size)i Fz(ncon)g FL(that)f(speci\002es)g(the)g(load)g(imbalance)f
(tolerances)g(for)g(each)h(one)f(of)h(the)g Fz(ncon)581
3323 y FL(constraints.)g(Each)c(tolerance)f(should)g(be)h(greater)g
(than)f(1.0)h(\(preferably)d(greater)j(than)f(1.03\).)208
3466 y FC(options)114 b FL(This)22 b(is)g(an)f(array)f(of)h(5)h(inte)o
(gers)e(that)h(is)i(used)e(to)g(pass)h(parameters)e(for)h(the)g(v)n
(arious)f(phases)h(of)g(the)g(algorithm.)581 3575 y(If)j
Fs(options[0]=0)e FL(then)h(def)o(ault)g(v)n(alues)g(are)h(used.)34
b(If)24 b Fs(options[0]=1)p FL(,)f(then)g(the)g(remaining)f(four)h
(elements)g(of)581 3685 y Fs(options)c FL(are)i(interpreted)d(as)j
(follo)n(ws:)581 3827 y(options[1])108 b(Determines)20
b(the)g(matching)f(type.)24 b(Possible)d(v)n(alues)e(are:)1033
3953 y(1)83 b(Random)19 b(Matching)g(\(RM\))1033 4079
y(2)83 b(Hea)n(vy-Edge)18 b(Matching)h(\(HEM\))1033 4205
y(3)83 b(Sorted)19 b(Hea)n(vy-Edge)f(Matching)h(\(SHEM\))h(\(Def)o
(ault\))1033 4331 y(5)83 b(Sorted)19 b(Hea)n(vy-Edge)f(Matching)h
(follo)n(wed)g(by)h(1-norm)e(Balanced-edge)g(\(SHEBM1N\))1033
4458 y(6)83 b(Sorted)28 b(Hea)n(vy-Edge)f(Matching)h(follo)n(wed)g(by)h
FM(1)p FL(-norm)e(Balanced-edge)g(\(SHEBMIN\))1158 4567
y(\(Def)o(ault\))1033 4693 y(7)83 b(1-norm)18 b(Balanced-edge)g(follo)n
(wed)h(by)h(Hea)n(vy-Edge)e(Matching)h(\(SBHEM1N\))1033
4819 y(8)83 b FM(1)p FL(-norm)18 b(Balanced-edge)g(follo)n(wed)h(by)h
(Hea)n(vy-Edge)e(Matching)h(\(SBHEMIN\))1033 4945 y(Experiments)g(has)j
(sho)n(wn)e(that)h(for)g(simple)g(balancing)e(problems,)h(the)h
(schemes)g(that)g(gi)n(v)o(e)f(pri-)1033 5055 y(ority)15
b(to)h(hea)n(vy)e(edges)h(\()p Fs(e)o(.g)o FL(.,)h(SHEM,)g(SHEBM1N,)f
(SHEBMIN\))g(perform)e(better)m(,)j(and)f(for)f(hard)1033
5164 y(balancing)i(problems,)f(the)i(schemes)g(that)g(gi)n(v)o(e)g
(priority)e(to)i(balanced)f(edges)h(\()p Fs(e)o(.g)n
FL(.,)h(SBHEM1N,)1033 5274 y(SBHEMIN\))i(perform)e(better)-5
b(.)581 5400 y(options[2])108 b(Determines)20 b(the)g(algorithm)f(used)
g(during)g(initial)i(partitioning.)h(Possible)f(v)n(alues)f(are:)1908
5649 y(26)p eop
%%Page: 27 27
27 26 bop 1033 83 a FL(1)83 b(Multile)n(v)o(el)19 b(recursi)n(v)o(e)g
(bisection)1033 209 y(2)83 b(Relax)o(ed)19 b(Multile)n(v)o(el)h
(recursi)n(v)o(e)e(bisection)i(\(Def)o(ault\))581 335
y(options[3])108 b(Determines)20 b(the)g(algorithm)f(used)g(for)h
(re\002nement.)k(Possible)c(v)n(alues)g(are:)1033 462
y(1)83 b(Random)19 b(boundary)e(re\002nement)i(\(Def)o(ault\))581
588 y(options[4])108 b(Used)21 b(for)e(deb)n(ugging)f(purposes.)23
b(Al)o(w)o(ays)e(set)g(it)g(to)f(0)h(\(Def)o(ault\).)208
731 y FC(edgecut)100 b FL(Upon)19 b(successful)h(completion,)e(this)j
(v)n(ariable)e(stores)i(the)f(number)e(of)i(edges)g(that)g(are)g(cut)h
(by)e(the)i(partition.)208 873 y FC(part)220 b FL(This)18
b(is)h(a)f(v)o(ector)e(of)i(size)g Fs(n)g FL(that)g(upon)e(successful)h
(completion)f(stores)i(the)g(partition)f(v)o(ector)f(of)h(the)h(graph.)
23 b(The)581 983 y(numbering)18 b(of)i(this)g(v)o(ector)f(starts)i
(from)e(either)h(0)g(or)g(1,)g(depending)e(on)i(the)g(v)n(alue)g(of)f
Fs(num\003a)o(g)p FL(.)0 1159 y FB(Note)208 1269 y FL(This)24
b(function)f(should)g(be)i(used)f(to)h(partition)e(a)i(graph)e(into)h
(a)h(lar)o(ge)f(number)e(of)j(partitions)e(\(greater)g(than)h(8\).)38
b(If)24 b(a)h(small)208 1378 y(number)f(of)i(partitions)g(is)h
(desired,)g(the)g Fz(METIS)p 1683 1378 25 4 v 30 w(mCP)m(ar)s(tGr)o
(aphRecursiv)n(e)g FL(should)e(be)h(used)h(instead,)g(as)g(it)g
(produces)208 1488 y(some)n(what)19 b(better)h(partitions.)1908
5649 y(27)p eop
%%Page: 28 28
28 27 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(WP)n(ar)r(tGraphRecur)o
(sive)20 b FL(\(int)h(*n,)e(idxtype)g(*xadj,)g(idxtype)g(*adjnc)o(y)-5
b(,)17 b(idxtype)i(*vwgt,)g(idxtype)g(*adjwgt,)g(int)i(*wgt\003ag,)1183
193 y(int)g(*num\003ag,)d(int)i(*nparts,)f(\003oat)i(*tpwgts,)e(int)i
(*options,)d(int)j(*edgecut,)d(idxtype)h(*part\))0 452
y FB(Description)208 561 y FL(It)29 b(is)h(used)f(to)g(partition)f(a)i
(graph)e(into)h Ft(k)34 b FL(parts)29 b(using)g(multile)n(v)o(el)f
(recursi)n(v)o(e)g(bisection.)51 b(The)29 b(underlying)d(algorithm)i
(is)208 671 y(similar)g(to)h(the)g(one)f(used)g(by)g
Fz(METIS)p 1392 671 V 31 w(P)m(ar)s(tGr)o(aphRecursiv)n(e)p
FL(,)i(b)n(ut)e(it)i(can)e(be)h(used)f(to)h(compute)e(a)i(partitioning)
d(with)208 780 y(prescribed)19 b(partition)h(weights.)27
b(F)o(or)20 b(e)o(xample,)g(it)h(can)g(be)g(used)g(to)g(compute)e(a)j
(3-w)o(ay)e(partition)g(such)g(that)h(partition)f(1)h(has)208
890 y(50\045)h(of)g(the)h(weight,)f(partition)g(2)h(has)f(20\045)h(of)f
(the)h(weight,)f(and)g(partition)g(3)h(has)f(30\045)h(of)f(the)h
(weight.)31 b(The)23 b(objecti)n(v)o(e)e(of)208 1000
y(the)f(partitioning)e(is)j(to)f(minimize)g(the)g(edgecut)f(\(as)i
(described)d(in)j(Section)f(5.3\).)0 1176 y FB(P)n(arameter)o(s)208
1295 y FC(n)327 b FL(The)20 b(number)e(of)i(v)o(ertices)g(in)g(the)h
(graph.)208 1412 y FC(xadj,)e(adjncy)581 1521 y FL(The)h(adjacenc)o(y)e
(structure)i(of)g(the)g(graph)f(as)i(described)d(in)j(Section)f(5.1.)
208 1638 y FC(vwgt,)f(adjwgt)581 1748 y FL(Information)f(about)h(the)h
(weights)g(of)g(the)g(v)o(ertices)g(and)f(edges)h(as)h(described)e(in)h
(Section)g(5.1.)208 1890 y FC(wgt\003ag)113 b FL(Used)21
b(to)f(indicate)f(if)i(the)f(graph)f(is)i(weighted.)j
Fs(wgt\003a)o(g)19 b FL(can)h(tak)o(e)h(the)f(follo)n(wing)e(v)n
(alues:)581 2033 y(0)83 b(No)20 b(weights)g(\(vwgts)g(and)f(adjwgt)h
(are)g(NULL\))581 2159 y(1)83 b(W)-7 b(eights)21 b(on)e(the)h(edges)g
(only)g(\(vwgts)f(=)i(NULL\))581 2286 y(2)83 b(W)-7 b(eights)21
b(on)e(the)h(v)o(ertices)g(only)g(\(adjwgt)f(=)i(NULL\))581
2412 y(3)83 b(W)-7 b(eights)21 b(both)e(on)h(v)o(ertices)f(and)h
(edges.)208 2555 y FC(num\003ag)82 b FL(Used)22 b(to)f(indicate)g
(which)g(numbering)d(scheme)j(is)h(used)f(for)g(the)g(adjacenc)o(y)f
(structure)g(of)h(the)g(graph.)27 b Fs(num\003a)o(g)581
2664 y FL(can)20 b(tak)o(e)g(the)h(follo)n(wing)d(tw)o(o)j(v)n(alues:)
581 2807 y(0)83 b(C-style)20 b(numbering)e(is)j(assumed)f(that)g
(starts)h(from)e(0)581 2933 y(1)83 b(F)o(ortran-style)18
b(numbering)g(is)j(assumed)e(that)i(starts)g(from)e(1)208
3076 y FC(nparts)142 b FL(The)20 b(number)e(of)i(parts)g(to)h
(partition)e(the)h(graph.)208 3219 y FC(tpwgts)137 b
FL(This)17 b(is)g(an)f(array)f(containing)g Fs(nparts)h
FL(\003oating)f(point)h(numbers.)22 b(F)o(or)16 b(partition)e
Ft(i)9 b FL(,)17 b Fs(tpwgts[)o Ft(i)9 b Fs(])17 b FL(stores)g(the)f
(fraction)581 3328 y(of)g(the)g(total)g(weight)g(that)g(should)f(be)h
(assigned)f(to)i(it.)24 b(F)o(or)15 b(e)o(xample,)h(for)f(a)i(4-w)o(ay)
e(partition)g(the)h(v)o(ector)f Fs(tpwgts[])581 3438
y(=)j FM(f)p Fs(0.2)e(0.2)g(0.4)g(0.2)p FM(g)g FL(will)i(result)f(in)g
(partitions)f(0,)h(1,)h(and)e(3)h(ha)n(ving)f(20\045)g(of)h(the)g
(weight)g(and)f(partition)g(2)h(ha)n(ving)581 3548 y(40\045)j(of)g(the)
g(weight.)25 b(Note)20 b(that)g(the)g(numbers)f(in)h
Fs(tpwgts)h FL(should)e(add)h(up)g(to)g(1.0.)208 3690
y FC(options)114 b FL(This)22 b(is)g(an)f(array)f(of)h(5)h(inte)o(gers)
e(that)h(is)i(used)e(to)g(pass)h(parameters)e(for)h(the)g(v)n(arious)f
(phases)h(of)g(the)g(algorithm.)581 3800 y(If)j Fs(options[0]=0)e
FL(then)h(def)o(ault)g(v)n(alues)g(are)h(used.)34 b(If)24
b Fs(options[0]=1)p FL(,)f(then)g(the)g(remaining)f(four)h(elements)g
(of)581 3910 y Fs(options)c FL(are)i(interpreted)d(as)j(follo)n(ws:)581
4052 y(options[1])108 b(Determines)20 b(the)g(matching)f(type.)24
b(Possible)d(v)n(alues)e(are:)1033 4179 y(1)83 b(Random)19
b(Matching)g(\(RM\))1033 4305 y(2)83 b(Hea)n(vy-Edge)18
b(Matching)h(\(HEM\))1033 4431 y(3)83 b(Sorted)19 b(Hea)n(vy-Edge)f
(Matching)h(\(SHEM\))h(\(Def)o(ault\))1033 4557 y(Experiments)f(has)h
(sho)n(wn)g(that)g(both)f(HEM)h(and)g(SHEM)g(perform)f(quite)g(well.)
581 4683 y(options[2])108 b(Determines)20 b(the)g(algorithm)f(used)g
(during)g(initial)i(partitioning.)h(Possible)f(v)n(alues)f(are:)1033
4810 y(1)83 b(Re)o(gion)19 b(Gro)n(wing)g(\(Def)o(ault\))581
4936 y(options[3])108 b(Determines)20 b(the)g(algorithm)f(used)g(for)h
(re\002nement.)k(Possible)c(v)n(alues)g(are:)1033 5062
y(1)83 b(Early-Exit)18 b(Boundary)h(FM)h(re\002nement)f(\(Def)o(ault\))
581 5188 y(options[4])108 b(Used)21 b(for)e(deb)n(ugging)f(purposes.)23
b(Al)o(w)o(ays)e(set)g(it)g(to)f(0)h(\(Def)o(ault\).)208
5331 y FC(edgecut)100 b FL(Upon)19 b(successful)h(completion,)e(this)j
(v)n(ariable)e(stores)i(the)f(number)e(of)i(edges)g(that)g(are)g(cut)h
(by)e(the)i(partition.)1908 5649 y(28)p eop
%%Page: 29 29
29 28 bop 208 83 a FC(part)220 b FL(This)18 b(is)h(a)f(v)o(ector)e(of)i
(size)g Fs(n)g FL(that)g(upon)e(successful)h(completion)f(stores)i(the)
g(partition)f(v)o(ector)f(of)h(the)h(graph.)23 b(The)581
193 y(numbering)18 b(of)i(this)g(v)o(ector)f(starts)i(from)e(either)h
(0)g(or)g(1,)g(depending)e(on)i(the)g(v)n(alue)g(of)f
Fs(num\003a)o(g)p FL(.)0 369 y FB(Note)208 478 y FL(This)d(function)f
(should)h(be)g(used)g(to)h(partition)f(a)g(graph)g(into)g(a)h(small)g
(number)e(of)h(partitions)g(\(less)h(than)f(8\).)23 b(If)17
b(a)g(lar)o(ge)e(number)208 588 y(of)k(partitions)h(is)h(desired,)e
(the)h Fz(METIS)p 1369 588 25 4 v 31 w(WP)m(ar)s(tGr)o(aphKw)o(a)n(y)h
FL(should)e(be)h(used)g(instead,)g(as)g(it)h(is)h(signi\002cantly)d(f)o
(aster)-5 b(.)1908 5649 y(29)p eop
%%Page: 30 30
30 29 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(WP)n(ar)r(tGraphKwa)n(y)
20 b FL(\(int)g(*n,)g(idxtype)e(*xadj,)h(idxtype)g(*adjnc)o(y)-5
b(,)18 b(idxtype)h(*vwgt,)g(idxtype)g(*adjwgt,)g(int)h(*wgt\003ag,)1003
193 y(int)g(*num\003ag,)f(int)h(*nparts,)f(\003oat)h(*tpwgts,)g(int)g
(*options,)f(int)h(*edgecut,)e(idxtype)h(*part\))0 444
y FB(Description)208 554 y FL(It)29 b(is)h(used)f(to)g(partition)f(a)i
(graph)e(into)h Ft(k)34 b FL(parts)29 b(using)g(multile)n(v)o(el)f
(recursi)n(v)o(e)g(bisection.)51 b(The)29 b(underlying)d(algorithm)i
(is)208 663 y(similar)16 b(to)h(the)f(one)g(used)g(by)h
Fz(METIS)p 1320 663 V 30 w(P)m(ar)s(tGr)o(aphKw)o(a)n(y)p
FL(,)g(b)n(ut)g(it)g(can)f(be)g(used)h(to)f(compute)f(a)i(partitioning)
e(with)h(prescribed)208 773 y(partition)24 b(weights.)42
b(F)o(or)25 b(e)o(xample,)h(it)g(can)g(be)g(used)f(to)h(compute)e(a)j
(3-w)o(ay)e(partition)f(such)i(that)g(partition)e(1)i(has)g(50\045)g
(of)208 883 y(the)j(weight,)h(partition)e(2)h(has)g(20\045)g(of)g(the)f
(weight,)j(and)d(partition)g(3)h(has)g(30\045)g(of)g(the)g(weight.)51
b(The)28 b(objecti)n(v)o(e)g(of)h(the)208 992 y(partitioning)18
b(is)j(to)f(minimize)g(the)g(edgecut)f(\(as)h(described)f(in)i(Section)
e(5.3\).)0 1167 y FB(P)n(arameter)o(s)208 1284 y FC(n)327
b FL(The)20 b(number)e(of)i(v)o(ertices)g(in)g(the)h(graph.)208
1399 y FC(xadj,)e(adjncy)581 1509 y FL(The)h(adjacenc)o(y)e(structure)i
(of)g(the)g(graph)f(as)i(described)d(in)j(Section)f(5.1.)208
1624 y FC(vwgt,)f(adjwgt)581 1734 y FL(Information)f(about)h(the)h
(weights)g(of)g(the)g(v)o(ertices)g(and)f(edges)h(as)h(described)e(in)h
(Section)g(5.1.)208 1875 y FC(wgt\003ag)113 b FL(Used)21
b(to)f(indicate)f(if)i(the)f(graph)f(is)i(weighted.)j
Fs(wgt\003a)o(g)19 b FL(can)h(tak)o(e)h(the)f(follo)n(wing)e(v)n
(alues:)581 2016 y(0)83 b(No)20 b(weights)g(\(vwgts)g(and)f(adjwgt)h
(are)g(NULL\))581 2141 y(1)83 b(W)-7 b(eights)21 b(on)e(the)h(edges)g
(only)g(\(vwgts)f(=)i(NULL\))581 2267 y(2)83 b(W)-7 b(eights)21
b(on)e(the)h(v)o(ertices)g(only)g(\(adjwgt)f(=)i(NULL\))581
2392 y(3)83 b(W)-7 b(eights)21 b(both)e(on)h(v)o(ertices)f(and)h
(edges.)208 2533 y FC(num\003ag)82 b FL(Used)22 b(to)f(indicate)g
(which)g(numbering)d(scheme)j(is)h(used)f(for)g(the)g(adjacenc)o(y)f
(structure)g(of)h(the)g(graph.)27 b Fs(num\003a)o(g)581
2643 y FL(can)20 b(tak)o(e)g(the)h(follo)n(wing)d(tw)o(o)j(v)n(alues:)
581 2784 y(0)83 b(C-style)20 b(numbering)e(is)j(assumed)f(that)g
(starts)h(from)e(0)581 2909 y(1)83 b(F)o(ortran-style)18
b(numbering)g(is)j(assumed)e(that)i(starts)g(from)e(1)208
3051 y FC(nparts)142 b FL(The)20 b(number)e(of)i(parts)g(to)h
(partition)e(the)h(graph.)208 3192 y FC(tpwgts)137 b
FL(This)17 b(is)g(an)f(array)f(containing)g Fs(nparts)h
FL(\003oating)f(point)h(numbers.)22 b(F)o(or)16 b(partition)e
Ft(i)9 b FL(,)17 b Fs(tpwgts[)o Ft(i)9 b Fs(])17 b FL(stores)g(the)f
(fraction)581 3301 y(of)g(the)g(total)g(weight)g(that)g(should)f(be)h
(assigned)f(to)i(it.)24 b(F)o(or)15 b(e)o(xample,)h(for)f(a)i(4-w)o(ay)
e(partition)g(the)h(v)o(ector)f Fs(tpwgts[])581 3411
y(=)j FM(f)p Fs(0.2)e(0.2)g(0.4)g(0.2)p FM(g)g FL(will)i(result)f(in)g
(partitions)f(0,)h(1,)h(and)e(3)h(ha)n(ving)f(20\045)g(of)h(the)g
(weight)g(and)f(partition)g(2)h(ha)n(ving)581 3520 y(40\045)j(of)g(the)
g(weight.)25 b(Note)20 b(that)g(the)g(numbers)f(in)h
Fs(tpwgts)h FL(should)e(add)h(up)g(to)g(1.0.)208 3662
y FC(options)114 b FL(This)22 b(is)g(an)f(array)f(of)h(5)h(inte)o(gers)
e(that)h(is)i(used)e(to)g(pass)h(parameters)e(for)h(the)g(v)n(arious)f
(phases)h(of)g(the)g(algorithm.)581 3771 y(If)j Fs(options[0]=0)e
FL(then)h(def)o(ault)g(v)n(alues)g(are)h(used.)34 b(If)24
b Fs(options[0]=1)p FL(,)f(then)g(the)g(remaining)f(four)h(elements)g
(of)581 3881 y Fs(options)c FL(are)i(interpreted)d(as)j(follo)n(ws:)581
4022 y(options[1])108 b(Determines)20 b(the)g(matching)f(type.)24
b(Possible)d(v)n(alues)e(are:)1033 4147 y(1)83 b(Random)19
b(Matching)g(\(RM\))1033 4273 y(2)83 b(Hea)n(vy-Edge)18
b(Matching)h(\(HEM\))1033 4398 y(3)83 b(Sorted)19 b(Hea)n(vy-Edge)f
(Matching)h(\(SHEM\))h(\(Def)o(ault\))1033 4523 y(Experiments)f(has)h
(sho)n(wn)g(that)g(both)f(HEM)h(and)g(SHEM)g(perform)f(quite)g(well.)
581 4649 y(options[2])108 b(Determines)20 b(the)g(algorithm)f(used)g
(during)g(initial)i(partitioning.)h(Possible)f(v)n(alues)f(are:)1033
4774 y(1)83 b(Multile)n(v)o(el)19 b(recursi)n(v)o(e)g(bisection)g
(\(Def)o(ault\))581 4900 y(options[3])108 b(Determines)20
b(the)g(algorithm)f(used)g(for)h(re\002nement.)k(Possible)c(v)n(alues)g
(are:)1033 5025 y(1)83 b(Random)19 b(boundary)e(re\002nement)1033
5150 y(2)83 b(Greedy)19 b(boundary)e(re\002nement)1033
5276 y(3)83 b(Random)19 b(boundary)e(re\002nement)i(that)h(also)h
(minimizes)f(the)g(connecti)n(vity)e(among)h(the)h(sub-)1158
5385 y(domains)f(\(Def)o(ault\))1908 5649 y(30)p eop
%%Page: 31 31
31 30 bop 581 83 a FL(options[4])108 b(Used)21 b(for)e(deb)n(ugging)f
(purposes.)23 b(Al)o(w)o(ays)e(set)g(it)g(to)f(0)h(\(Def)o(ault\).)208
226 y FC(edgecut)100 b FL(Upon)19 b(successful)h(completion,)e(this)j
(v)n(ariable)e(stores)i(the)f(number)e(of)i(edges)g(that)g(are)g(cut)h
(by)e(the)i(partition.)208 369 y FC(part)220 b FL(This)18
b(is)h(a)f(v)o(ector)e(of)i(size)g Fs(n)g FL(that)g(upon)e(successful)h
(completion)f(stores)i(the)g(partition)f(v)o(ector)f(of)h(the)h(graph.)
23 b(The)581 478 y(numbering)18 b(of)i(this)g(v)o(ector)f(starts)i
(from)e(either)h(0)g(or)g(1,)g(depending)e(on)i(the)g(v)n(alue)g(of)f
Fs(num\003a)o(g)p FL(.)0 654 y FB(Note)208 764 y FL(This)24
b(function)f(should)g(be)i(used)f(to)h(partition)e(a)i(graph)e(into)h
(a)h(lar)o(ge)f(number)e(of)j(partitions)e(\(greater)g(than)h(8\).)38
b(If)24 b(a)h(small)208 873 y(number)j(of)i(partitions)f(is)i(desired,)
h(the)e Fz(METIS)p 1706 873 25 4 v 31 w(WP)m(ar)s(tGr)o(aphRecursiv)n
(e)g FL(should)f(be)h(used)g(instead,)i(as)f(it)g(produces)208
983 y(some)n(what)19 b(better)h(partitions.)1908 5649
y(31)p eop
%%Page: 32 32
32 31 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(WP)n(ar)r(tGraphVKwa)n
(y)20 b FL(\(int)h(*n,)e(idxtype)g(*xadj,)g(idxtype)g(*adjnc)o(y)-5
b(,)17 b(idxtype)i(*vwgt,)g(idxtype)g(*vsize,)h(int)g(*wgt\003ag,)1058
193 y(int)h(*num\003ag,)d(int)i(*nparts,)f(\003oat)i(*tpwgts,)e(int)i
(*options,)d(int)j(*v)n(olume,)d(idxtype)h(*part\))0
450 y FB(Description)208 560 y FL(It)29 b(is)h(used)f(to)g(partition)f
(a)i(graph)e(into)h Ft(k)34 b FL(parts)29 b(using)g(multile)n(v)o(el)f
(recursi)n(v)o(e)g(bisection.)51 b(The)29 b(underlying)d(algorithm)i
(is)208 669 y(similar)16 b(to)h(the)f(one)g(used)g(by)h
Fz(METIS)p 1320 669 V 30 w(P)m(ar)s(tGr)o(aphKw)o(a)n(y)p
FL(,)g(b)n(ut)g(it)g(can)f(be)g(used)h(to)f(compute)f(a)i(partitioning)
e(with)h(prescribed)208 779 y(partition)24 b(weights.)42
b(F)o(or)25 b(e)o(xample,)h(it)g(can)g(be)g(used)f(to)h(compute)e(a)j
(3-w)o(ay)e(partition)f(such)i(that)g(partition)e(1)i(has)g(50\045)g
(of)208 888 y(the)j(weight,)h(partition)e(2)h(has)g(20\045)g(of)g(the)f
(weight,)j(and)d(partition)g(3)h(has)g(30\045)g(of)g(the)g(weight.)51
b(The)28 b(objecti)n(v)o(e)g(of)h(the)208 998 y(partitioning)18
b(is)j(to)f(minimize)g(the)g(total)g(communication)e(v)n(olume)h(\(as)h
(described)f(in)h(Section)g(5.3\).)0 1174 y FB(P)n(arameter)o(s)208
1293 y FC(n)327 b FL(The)20 b(number)e(of)i(v)o(ertices)g(in)g(the)h
(graph.)208 1409 y FC(xadj,)e(adjncy)581 1519 y FL(The)h(adjacenc)o(y)e
(structure)i(of)g(the)g(graph)f(as)i(described)d(in)j(Sections)f(5.1)f
(and)h(5.3.)208 1635 y FC(vwgt,)f(vsize)581 1745 y FL(Information)h
(about)j(the)g(weights)g(of)g(the)g(v)o(ertices)f(related)h(to)g(the)g
(computation)e(and)i(communication)d(as)k(de-)581 1854
y(scribed)c(in)g(Section)g(5.1.)208 1997 y FC(wgt\003ag)113
b FL(Used)21 b(to)f(indicate)f(if)i(the)f(graph)f(is)i(weighted.)j
Fs(wgt\003a)o(g)19 b FL(can)h(tak)o(e)h(the)f(follo)n(wing)e(v)n
(alues:)581 2139 y(0)83 b(No)20 b(weights)g(\(vwgts)g(and)f(vsize)i
(are)f(NULL\))581 2265 y(1)83 b(Communication)18 b(weights)i(only)f
(\(vwgts)h(=)g(NULL\))581 2391 y(2)83 b(Computation)18
b(weights)i(only)f(\(vsize)h(=)h(NULL\))581 2517 y(3)83
b(Both)20 b(communication)d(and)j(computation)e(weights.)208
2660 y FC(num\003ag)82 b FL(Used)22 b(to)f(indicate)g(which)g
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(adjacenc)o(y)f(structure)
g(of)h(the)g(graph.)27 b Fs(num\003a)o(g)581 2769 y FL(can)20
b(tak)o(e)g(the)h(follo)n(wing)d(tw)o(o)j(v)n(alues:)581
2912 y(0)83 b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h
(from)e(0)581 3038 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j
(assumed)e(that)i(starts)g(from)e(1)208 3180 y FC(nparts)142
b FL(The)20 b(number)e(of)i(parts)g(to)h(partition)e(the)h(graph.)208
3322 y FC(tpwgts)137 b FL(This)17 b(is)g(an)f(array)f(containing)g
Fs(nparts)h FL(\003oating)f(point)h(numbers.)22 b(F)o(or)16
b(partition)e Ft(i)9 b FL(,)17 b Fs(tpwgts[)o Ft(i)9
b Fs(])17 b FL(stores)g(the)f(fraction)581 3432 y(of)g(the)g(total)g
(weight)g(that)g(should)f(be)h(assigned)f(to)i(it.)24
b(F)o(or)15 b(e)o(xample,)h(for)f(a)i(4-w)o(ay)e(partition)g(the)h(v)o
(ector)f Fs(tpwgts[])581 3542 y(=)j FM(f)p Fs(0.2)e(0.2)g(0.4)g(0.2)p
FM(g)g FL(will)i(result)f(in)g(partitions)f(0,)h(1,)h(and)e(3)h(ha)n
(ving)f(20\045)g(of)h(the)g(weight)g(and)f(partition)g(2)h(ha)n(ving)
581 3651 y(40\045)j(of)g(the)g(weight.)25 b(Note)20 b(that)g(the)g
(numbers)f(in)h Fs(tpwgts)h FL(should)e(add)h(up)g(to)g(1.0.)208
3794 y FC(options)114 b FL(This)22 b(is)g(an)f(array)f(of)h(5)h(inte)o
(gers)e(that)h(is)i(used)e(to)g(pass)h(parameters)e(for)h(the)g(v)n
(arious)f(phases)h(of)g(the)g(algorithm.)581 3903 y(If)j
Fs(options[0]=0)e FL(then)h(def)o(ault)g(v)n(alues)g(are)h(used.)34
b(If)24 b Fs(options[0]=1)p FL(,)f(then)g(the)g(remaining)f(four)h
(elements)g(of)581 4013 y Fs(options)c FL(are)i(interpreted)d(as)j
(follo)n(ws:)581 4155 y(options[1])108 b(Determines)20
b(the)g(matching)f(type.)24 b(Possible)d(v)n(alues)e(are:)1033
4281 y(1)83 b(Random)19 b(Matching)g(\(RM\))1033 4407
y(2)83 b(Hea)n(vy-Edge)18 b(Matching)h(\(HEM\))1033 4533
y(3)83 b(Sorted)19 b(Hea)n(vy-Edge)f(Matching)h(\(SHEM\))h(\(Def)o
(ault\))1033 4659 y(Experiments)f(has)h(sho)n(wn)g(that)g(both)f(HEM)h
(and)g(SHEM)g(perform)f(quite)g(well.)581 4785 y(options[2])108
b(Determines)20 b(the)g(algorithm)f(used)g(during)g(initial)i
(partitioning.)h(Possible)f(v)n(alues)f(are:)1033 4911
y(1)83 b(Multile)n(v)o(el)19 b(recursi)n(v)o(e)g(bisection)g(\(Def)o
(ault\))581 5037 y(options[3])108 b(Determines)20 b(the)g(algorithm)f
(used)g(for)h(re\002nement.)k(Possible)c(v)n(alues)g(are:)1033
5163 y(1)83 b(Random)19 b(boundary)e(re\002nement)i(\(Def)o(ault\))1033
5289 y(3)83 b(Random)19 b(boundary)e(re\002nement)i(that)h(also)h
(minimizes)f(the)g(connecti)n(vity)e(among)h(the)h(sub-)1158
5399 y(domains)1908 5649 y(32)p eop
%%Page: 33 33
33 32 bop 581 83 a FL(options[4])108 b(Used)21 b(for)e(deb)n(ugging)f
(purposes.)23 b(Al)o(w)o(ays)e(set)g(it)g(to)f(0)h(\(Def)o(ault\).)208
226 y FC(v)o(olume)115 b FL(Upon)27 b(successful)h(completion,)g(this)h
(v)n(ariable)e(stores)h(the)g(total)g(communication)e(v)n(olume)h
(required)f(by)i(the)581 335 y(partition.)208 478 y FC(part)220
b FL(This)18 b(is)h(a)f(v)o(ector)e(of)i(size)g Fs(n)g
FL(that)g(upon)e(successful)h(completion)f(stores)i(the)g(partition)f
(v)o(ector)f(of)h(the)h(graph.)23 b(The)581 588 y(numbering)18
b(of)i(this)g(v)o(ector)f(starts)i(from)e(either)h(0)g(or)g(1,)g
(depending)e(on)i(the)g(v)n(alue)g(of)f Fs(num\003a)o(g)p
FL(.)1908 5649 y(33)p eop
%%Page: 34 34
34 33 bop 0 83 a Fr(5.5)100 b(Mesh)28 b(P)m(ar)r(titioning)g(Routines)0
242 y FB(METIS)p 258 242 25 4 v 31 w(P)n(ar)r(tMeshNodal)20
b FL(\(int)g(*ne,)f(int)i(*nn,)e(idxtype)g(*elmnts,)g(int)h(*etype,)f
(int)i(*num\003ag,)d(int)i(*nparts,)f(int)i(*edgecut,)908
352 y(idxtype)e(*epart,)g(idxtype)f(*npart\))0 611 y
FB(Description)208 721 y FL(This)f(function)f(is)j(used)e(to)h
(partition)e(a)i(mesh)f(into)h Ft(k)23 b FL(equal-size)16
b(parts.)24 b(It)18 b(pro)o(vides)e(the)h(functionality)f(of)h(the)h
Fp(partnmesh)208 830 y FL(program.)0 1006 y FB(P)n(arameter)o(s)208
1126 y FC(ne)290 b FL(The)20 b(number)e(of)i(elements)g(in)h(the)f
(mesh.)208 1269 y FC(nn)281 b FL(The)20 b(number)e(of)i(nodes)g(in)g
(the)g(mesh.)208 1411 y FC(elmnts)138 b FL(The)20 b(element)g(node)f
(array)g(storing)g(the)i(mesh)f(as)h(described)d(in)j(Section)f(5.2.)
208 1554 y FC(etype)183 b FL(Indicates)20 b(the)g(type)g(of)f(the)i
(elements)f(in)g(the)g(mesh.)25 b Fs(etype)20 b FL(can)g(tak)o(e)g(the)
g(follo)n(wing)f(v)n(alues:)581 1697 y(1)83 b(The)20
b(elements)f(are)i(triangles.)581 1823 y(2)83 b(The)20
b(elements)f(are)i(tetrahedra.)581 1949 y(3)83 b(The)20
b(elements)f(are)i(he)o(xahedra)c(\(bricks\).)581 2076
y(4)83 b(The)20 b(elements)f(are)i(quadrilaterals.)208
2218 y FC(num\003ag)82 b FL(Used)22 b(to)h(indicate)e(which)h
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(element)f(node)g(array)-5
b(.)30 b Fs(num\003a)o(g)20 b FL(can)i(tak)o(e)h(the)581
2328 y(follo)n(wing)c(tw)o(o)h(v)n(alues:)581 2471 y(0)83
b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h(from)e(0)581
2597 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j(assumed)e(that)i
(starts)g(from)e(1)208 2740 y FC(nparts)142 b FL(The)20
b(number)e(of)i(parts)g(to)h(partition)e(the)h(mesh.)208
2883 y FC(edgecut)100 b FL(Upon)20 b(successful)h(completion,)f(this)i
(v)n(ariable)e(stores)h(the)g(number)f(of)h(edges)g(that)g(are)g(cut)g
(by)g(the)g(partition)f(in)581 2992 y(the)g(nodal)g(graph.)208
3135 y FC(epart)183 b FL(This)18 b(is)h(a)g(v)o(ector)d(of)i(size)h
Fs(ne)e FL(that)h(upon)f(successful)h(completion)e(stores)i(the)g
(partition)f(v)o(ector)g(for)g(the)h(elements)581 3245
y(of)31 b(the)f(mesh.)57 b(The)30 b(numbering)e(of)j(this)g(v)o(ector)e
(starts)j(from)e(either)g(0)h(or)f(1,)k(depending)28
b(on)i(the)h(v)n(alue)f(of)581 3354 y Fs(num\003a)o(g)p
FL(.)208 3497 y FC(npart)174 b FL(This)19 b(is)g(a)g(v)o(ector)e(of)h
(size)i Fs(nn)e FL(that)g(upon)f(successful)h(completion)f(stores)i
(the)f(partition)g(v)o(ector)f(for)h(the)g(nodes)g(of)581
3606 y(the)i(mesh.)25 b(The)19 b(numbering)f(of)h(this)i(v)o(ector)d
(starts)j(from)e(either)g(0)h(or)g(1,)g(depending)d(on)j(the)g(v)n
(alue)f(of)h Fs(num\003a)o(g)p FL(.)0 3782 y FB(Note)208
3892 y FL(This)g(function)f(con)m(v)o(erts)g(the)h(mesh)h(into)f(a)h
(nodal)e(graph)g(and)h(then)g(uses)i Fz(METIS)p 2642
3892 V 30 w(P)m(ar)s(tGr)o(aphKw)o(a)n(y)f FL(to)f(compute)f(a)i
(parti-)208 4002 y(tioning)f(of)h(the)g(nodes.)28 b(This)22
b(partitioning)d(of)i(nodes)g(is)h(then)f(used)g(to)h(compute)e(a)h
(partitioning)f(for)g(the)i(elements.)28 b(This)22 b(is)208
4111 y(done)d(by)i(assigning)f(each)h(element)f(to)h(the)g(partition)f
(in)h(which)g(the)g(majority)f(of)g(its)i(nodes)e(belong)g(to)h
(\(subject)f(to)h(balance)208 4221 y(constraints\).)1908
5649 y(34)p eop
%%Page: 35 35
35 34 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(P)n(ar)r(tMeshDual)20
b FL(\(int)g(*ne,)g(int)g(*nn,)f(idxtype)g(*elmnts,)g(int)i(*etype,)e
(int)h(*num\003ag,)e(int)j(*nparts,)e(int)h(*edgecut,)857
193 y(idxtype)f(*epart,)g(idxtype)g(*npart\))0 452 y
FB(Description)208 561 y FL(This)e(function)f(is)j(used)e(to)h
(partition)e(a)i(mesh)f(into)h Ft(k)23 b FL(equal-size)16
b(parts.)24 b(It)18 b(pro)o(vides)e(the)h(functionality)f(of)h(the)h
Fp(partdmesh)208 671 y FL(program.)0 847 y FB(P)n(arameter)o(s)208
966 y FC(ne)290 b FL(The)20 b(number)e(of)i(elements)g(in)h(the)f
(mesh.)208 1109 y FC(nn)281 b FL(The)20 b(number)e(of)i(nodes)g(in)g
(the)g(mesh.)208 1252 y FC(elmnts)138 b FL(The)20 b(element)g(node)f
(array)g(storing)g(the)i(mesh)f(as)h(described)d(in)j(Section)f(5.2.)
208 1395 y FC(etype)183 b FL(Indicates)20 b(the)g(type)g(of)f(the)i
(elements)f(in)g(the)g(mesh.)25 b Fs(etype)20 b FL(can)g(tak)o(e)g(the)
g(follo)n(wing)f(v)n(alues:)581 1538 y(1)83 b(The)20
b(elements)f(are)i(triangles.)581 1664 y(2)83 b(The)20
b(elements)f(are)i(tetrahedra.)581 1790 y(3)83 b(The)20
b(elements)f(are)i(he)o(xahedra)c(\(bricks\).)581 1916
y(4)83 b(The)20 b(elements)f(are)i(quadrilaterals.)208
2059 y FC(num\003ag)82 b FL(Used)22 b(to)h(indicate)e(which)h
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(element)f(node)g(array)-5
b(.)30 b Fs(num\003a)o(g)20 b FL(can)i(tak)o(e)h(the)581
2169 y(follo)n(wing)c(tw)o(o)h(v)n(alues:)581 2311 y(0)83
b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h(from)e(0)581
2438 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j(assumed)e(that)i
(starts)g(from)e(1)208 2580 y FC(nparts)142 b FL(The)20
b(number)e(of)i(parts)g(to)h(partition)e(the)h(mesh.)208
2723 y FC(edgecut)100 b FL(Upon)20 b(successful)h(completion,)f(this)i
(v)n(ariable)e(stores)h(the)g(number)f(of)h(edges)g(that)g(are)g(cut)g
(by)g(the)g(partition)f(in)581 2833 y(the)g(dual)g(graph.)208
2976 y FC(epart)183 b FL(This)18 b(is)h(a)g(v)o(ector)d(of)i(size)h
Fs(ne)e FL(that)h(upon)f(successful)h(completion)e(stores)i(the)g
(partition)f(v)o(ector)g(for)g(the)h(elements)581 3085
y(of)31 b(the)f(mesh.)57 b(The)30 b(numbering)e(of)j(this)g(v)o(ector)e
(starts)j(from)e(either)g(0)h(or)f(1,)k(depending)28
b(on)i(the)h(v)n(alue)f(of)581 3195 y Fs(num\003a)o(g)p
FL(.)208 3337 y FC(npart)174 b FL(This)19 b(is)g(a)g(v)o(ector)e(of)h
(size)i Fs(nn)e FL(that)g(upon)f(successful)h(completion)f(stores)i
(the)f(partition)g(v)o(ector)f(for)h(the)g(nodes)g(of)581
3447 y(the)i(mesh.)25 b(The)19 b(numbering)f(of)h(this)i(v)o(ector)d
(starts)j(from)e(either)g(0)h(or)g(1,)g(depending)d(on)j(the)g(v)n
(alue)f(of)h Fs(num\003a)o(g)p FL(.)0 3623 y FB(Note)208
3733 y FL(This)j(function)e(con)m(v)o(erts)h(the)h(mesh)g(into)f(a)i
(dual)f(graph)e(and)i(then)g(uses)g Fz(METIS)p 2631 3733
V 31 w(P)m(ar)s(tGr)o(aphKw)o(a)n(y)g FL(to)g(compute)f(a)h(parti-)208
3842 y(tioning)c(of)h(the)g(elements.)25 b(This)20 b(partitioning)f(of)
h(elements)g(is)h(then)f(used)g(to)g(compute)f(a)i(partitioning)d(for)i
(the)g(nodes.)k(This)208 3952 y(is)d(done)f(by)g(assigning)g(each)g
(node)g(to)h(the)g(partition)e(in)i(which)f(the)h(majority)f(of)g(its)i
(incident)e(elements)g(belong)f(to)i(\(subject)208 4061
y(to)f(balance)f(constraints\).)1908 5649 y(35)p eop
%%Page: 36 36
36 35 bop 0 83 a Fr(5.6)100 b(Spar)o(se)29 b(Matrix)f(Reor)n(dering)f
(Routines)0 242 y FB(METIS)p 258 242 25 4 v 31 w(Edg)q(eND)20
b FL(\(int)g(*n,)g(idxtype)e(*xadj,)h(idxtype)g(*adjnc)o(y)-5
b(,)18 b(int)i(*num\003ag,)f(int)h(*options,)f(idxtype)f(*perm,)h
(idxtype)g(*iperm\))0 501 y FB(Description)208 611 y
FL(This)25 b(function)f(computes)h(\002ll)h(reducing)e(orderings)f(of)j
(sparse)f(matrices)h(using)f(the)g(multile)n(v)o(el)g(nested)g
(dissection)g(algo-)208 721 y(rithm.)f(It)c(pro)o(vides)f(the)h
(functionality)e(of)i(the)g Fp(oemetis)g FL(program.)0
897 y FB(P)n(arameter)o(s)208 1016 y FC(n)327 b FL(The)20
b(number)e(of)i(v)o(ertices)g(in)g(the)h(graph.)208 1133
y FC(xadj,)e(adjncy)581 1242 y FL(The)h(adjacenc)o(y)e(structure)i(of)g
(the)g(graph)f(as)i(described)d(in)j(Section)f(5.1.)208
1385 y FC(num\003ag)82 b FL(Used)22 b(to)f(indicate)g(which)g
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(adjacenc)o(y)f(structure)
g(of)h(the)g(graph.)27 b Fs(num\003a)o(g)581 1495 y FL(can)20
b(tak)o(e)g(the)h(follo)n(wing)d(tw)o(o)j(v)n(alues:)581
1638 y(0)83 b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h
(from)e(0)581 1764 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j
(assumed)e(that)i(starts)g(from)e(1)208 1907 y FC(options)114
b FL(This)22 b(is)g(an)f(array)f(of)h(5)h(inte)o(gers)e(that)h(is)i
(used)e(to)g(pass)h(parameters)e(for)h(the)g(v)n(arious)f(phases)h(of)g
(the)g(algorithm.)581 2016 y(If)j Fs(options[0]=0)e FL(then)h(def)o
(ault)g(v)n(alues)g(are)h(used.)34 b(If)24 b Fs(options[0]=1)p
FL(,)f(then)g(the)g(remaining)f(four)h(elements)g(of)581
2126 y Fs(options)c FL(are)i(interpreted)d(as)j(follo)n(ws:)581
2269 y(options[1])108 b(Determined)19 b(the)h(matching)f(type.)24
b(Possible)d(v)n(alues)f(are:)1033 2395 y(1)83 b(Random)19
b(Matching)g(\(RM\))1033 2521 y(2)83 b(Hea)n(vy-Edge)18
b(Matching)h(\(HEM\))1033 2647 y(3)83 b(Sorted)19 b(Hea)n(vy-Edge)f
(Matching)h(\(SHEM\))h(\(Def)o(ault\))1033 2773 y(Experiments)f(has)h
(sho)n(wn)g(that)g(both)f(HEM)h(and)g(SHEM)g(perform)f(quite)g(well.)
581 2900 y(options[2])108 b(Determines)20 b(the)g(algorithm)f(used)g
(during)g(initial)i(partitioning.)h(Possible)f(v)n(alues)f(are:)1033
3026 y(1)83 b(Re)o(gion)19 b(Gro)n(wing)g(\(Def)o(ault\))581
3152 y(options[3])108 b(Determines)20 b(the)g(algorithm)f(used)g(for)h
(re\002nement.)k(Possible)c(v)n(alues)g(are:)1033 3278
y(1)83 b(Early-Exit)18 b(Boundary)h(FM)h(re\002nement)f(\(Def)o(ault\))
581 3404 y(options[4])108 b(Used)21 b(for)e(deb)n(ugging)f(purposes.)23
b(Al)o(w)o(ays)e(set)g(it)g(to)f(0)h(\(Def)o(ault\).)208
3521 y FC(perm,)f(iperm)581 3631 y FL(These)25 b(are)g(v)o(ectors,)f
(each)h(of)g(size)g Fs(n)p FL(.)39 b(Upon)24 b(successful)h
(completion,)f(the)o(y)g(store)g(the)h(\002ll-reducing)e(permu-)581
3740 y(tation)j(and)g(in)m(v)o(erse-permutation.)39 b(Let)34
b Ft(A)29 b FL(be)d(the)g(original)f(matrix)h(and)34
b Ft(A)2868 3710 y Fe(0)2915 3740 y FL(be)27 b(the)f(permuted)e
(matrix.)43 b(The)581 3850 y(arrays)21 b Fs(perm)g FL(and)f
Fs(iperm)h FL(are)g(de\002ned)f(as)i(follo)n(ws.)27 b(Ro)n(w)21
b(\(column\))d Ft(i)30 b FL(of)f Ft(A)2836 3820 y Fe(0)2878
3850 y FL(is)22 b(the)f(perm)o FM(T)o Ft(i)9 b FM(U)20
b FL(ro)n(w)h(\(column\))e(of)589 3959 y Ft(A)r FL(,)j(and)f(ro)n(w)g
(\(column\))d Ft(i)31 b FL(of)e Ft(A)24 b FL(is)e(the)g(iperm)n
FM(T)o Ft(i)9 b FM(U)21 b FL(ro)n(w)g(\(column\))f(of)29
b Ft(A)2659 3929 y Fe(0)2680 3959 y FL(.)g(The)21 b(numbering)e(of)i
(this)h(v)o(ector)f(starts)581 4069 y(from)e(either)h(0)g(or)g(1,)g
(depending)e(on)i(the)g(v)n(alue)f(of)h Fs(num\003a)o(g)p
FL(.)0 4245 y FB(Note)208 4355 y FL(This)25 b(function)f(computes)g
(the)h(v)o(erte)o(x)f(separator)g(from)g(the)h(edge)g(separator)f
(using)h(a)g(minimum)f(co)o(v)o(er)g(algorithm.)38 b(This)208
4464 y(function)21 b(should)i(be)g(used)h(only)f(in)g(ordering)f(lar)o
(ge)g(graphs)h(arising)g(in)h(3D)f(\002nite)h(element)f(applications.)
34 b(In)23 b(general)g(the)208 4574 y Fz(METIS)p 466
4574 V 30 w(NodeND)e FL(routine)e(should)g(be)h(preferred,)e(as)j(it)g
(produces)d(better)i(orderings.)1908 5649 y(36)p eop
%%Page: 37 37
37 36 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(NodeND)20
b FL(\(int)g(*n,)f(idxtype)g(*xadj,)g(idxtype)g(*adjnc)o(y)-5
b(,)18 b(int)i(*num\003ag,)e(int)j(*options,)d(idxtype)h(*perm,)g
(idxtype)g(*iperm\))0 342 y FB(Description)208 452 y
FL(This)25 b(function)f(computes)h(\002ll)h(reducing)e(orderings)f(of)j
(sparse)f(matrices)h(using)f(the)g(multile)n(v)o(el)g(nested)g
(dissection)g(algo-)208 561 y(rithm.)f(It)c(pro)o(vides)f(the)h
(functionality)e(of)i(the)g Fp(onmetis)g FL(program.)0
737 y FB(P)n(arameter)o(s)208 857 y FC(n)327 b FL(The)20
b(number)e(of)i(v)o(ertices)g(in)g(the)h(graph.)208 973
y FC(xadj,)e(adjncy)581 1083 y FL(The)h(adjacenc)o(y)e(structure)i(of)g
(the)g(graph)f(as)i(described)d(in)j(Section)f(5.1.)208
1226 y FC(num\003ag)82 b FL(Used)22 b(to)f(indicate)g(which)g
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(adjacenc)o(y)f(structure)
g(of)h(the)g(graph.)27 b Fs(num\003a)o(g)581 1335 y FL(can)20
b(tak)o(e)g(the)h(follo)n(wing)d(tw)o(o)j(v)n(alues:)581
1478 y(0)83 b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h
(from)e(0)581 1604 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j
(assumed)e(that)i(starts)g(from)e(1)208 1747 y FC(options)114
b FL(This)22 b(is)g(an)f(array)f(of)h(8)h(inte)o(gers)e(that)h(is)i
(used)e(to)g(pass)h(parameters)e(for)h(the)g(v)n(arious)f(phases)h(of)g
(the)g(algorithm.)581 1857 y(If)g Fs(options[0]=0)e FL(then)h(def)o
(ault)g(v)n(alues)g(are)h(used.)26 b(If)21 b Fs(options[0]=1)p
FL(,)e(then)h(the)h(remaining)e(se)n(v)o(en)g(elements)i(of)581
1966 y Fs(options)e FL(are)i(interpreted)d(as)j(follo)n(ws:)581
2109 y(options[1])108 b(Determines)20 b(the)g(matching)f(type.)24
b(Possible)d(v)n(alues)e(are:)1033 2235 y(1)83 b(Random)19
b(Matching)g(\(RM\))1033 2362 y(2)83 b(Hea)n(vy-Edge)18
b(Matching)h(\(HEM\))1033 2488 y(3)83 b(Sorted)19 b(Hea)n(vy-Edge)f
(Matching)h(\(SHEM\))h(\(Def)o(ault\))1033 2614 y(Experiments)14
b(ha)n(v)o(e)h(sho)n(wn)g(that)h(all)h(three)e(matching)f(schemes)i
(perform)e(quite)h(well.)24 b(In)16 b(general)1033 2724
y(SHEM)22 b(is)h(f)o(aster)e(and)g(RM)i(is)f(slo)n(wer)m(,)f(b)n(ut)h
(feel)g(free)f(to)g(e)o(xperiment)f(with)i(the)f(other)g(matching)1033
2833 y(schemes.)581 2959 y(options[2])108 b(Determines)20
b(the)g(algorithm)f(used)g(during)g(initial)i(partitioning.)h(Possible)
f(v)n(alues)f(are:)1033 3086 y(1)83 b(Edge-based)18 b(re)o(gion)g(gro)n
(wing)h(\(Def)o(ault\))1033 3212 y(2)83 b(Node-based)18
b(re)o(gion)h(gro)n(wing)581 3338 y(options[3])108 b(Determines)20
b(the)g(algorithm)f(used)g(for)h(re\002nement.)k(Possible)c(v)n(alues)g
(are:)1033 3464 y(1)83 b(T)-7 b(w)o(o-sided)19 b(node)g(FM)i
(re\002nement)1033 3590 y(2)83 b(One-sided)19 b(node)g(FM)i
(re\002nement)d(\(Def)o(ault\))1033 3717 y(One-sided)i(FM)h
(re\002nement)f(is)i(f)o(aster)f(than)g(tw)o(o-sided,)f(b)n(ut)h(in)g
(some)f(cases)i(tw)o(o-sided)e(re\002ne-)1033 3826 y(ment)g(may)g
(produce)e(better)i(orderings.)j(Feel)d(free)g(to)h(e)o(xperiment)d
(with)i(this)h(option.)581 3952 y(options[4])108 b(Used)21
b(for)e(deb)n(ugging)f(purposes.)23 b(Al)o(w)o(ays)e(set)g(it)g(to)f(0)
h(\(Def)o(ault\).)581 4079 y(options[5])108 b(Used)17
b(to)f(select)h(whether)e(or)h(not)f(to)i(compress)e(the)h(graph)f(and)
g(to)i(order)d(connected)h(components)1033 4188 y(separately)-5
b(.)24 b(The)c(possible)g(v)n(alues)f(and)h(their)g(meaning)f(are)h(as)
h(follo)n(ws.)1033 4314 y(0)83 b(Do)32 b(not)h(try)f(to)h(compress)f
(the)h(graph)e(and)h(do)g(not)h(order)e(each)h(connected)f(component)
1158 4424 y(separately)-5 b(.)1033 4550 y(1)83 b(T)m(ry)23
b(to)i(compress)e(the)h(graph.)36 b(\(A)24 b(compressed)f(graph)f(is)j
(actually)f(formed)e(if)j(the)f(size)h(of)1158 4660 y(the)20
b(graph)f(can)h(be)g(reduced)e(by)i(at)h(least)g(15\045\))e(\(Def)o
(ault\).)1033 4786 y(2)83 b(Order)28 b(each)h(connected)e(component)f
(of)j(the)g(graph)e(separately)-5 b(.)50 b(This)30 b(option)d(is)j
(partic-)1158 4895 y(ularly)25 b(useful)h(when)f(after)h(a)h(fe)n(w)f
(le)n(v)o(els)g(of)g(nested)f(dissection,)i(the)g(graph)d(breaks)i(up)f
(in)1158 5005 y(man)o(y)16 b(smaller)i(disconnected)e(subgraphs.)22
b(This)c(is)g(true)g(for)f(certain)g(types)g(of)h(LP)g(matrices.)1033
5131 y(3)83 b(T)m(ry)19 b(to)i(compress)e(the)h(graph)f(and)h(also)g
(order)f(each)h(connected)e(component)g(separately)-5
b(.)1908 5649 y(37)p eop
%%Page: 38 38
38 37 bop 581 83 a FL(options[6])108 b(Used)20 b(to)f(control)f
(whether)g(or)h(not)g(the)g(ordering)e(algorithm)h(should)g(remo)o(v)o
(e)f(an)o(y)i(v)o(ertices)f(with)1033 193 y(high)j(de)o(gree)e(\()p
Fs(i.e)p FL(.,)i(dense)g(columns\).)27 b(This)21 b(is)h(particularly)e
(helpful)g(for)g(certain)h(classes)h(of)f(LP)1033 302
y(matrices,)k(in)f(which)g(there)f(a)i(fe)n(w)f(v)o(ertices)g(that)g
(are)g(connected)e(to)j(man)o(y)e(other)g(v)o(ertices.)36
b(By)1033 412 y(remo)o(ving)20 b(these)j(v)o(ertices)e(prior)h(to)g
(ordering,)f(the)h(quality)g(and)f(the)i(amount)e(of)h(time)g(required)
1033 521 y(to)f(do)e(the)i(ordering)d(impro)o(v)o(es.)23
b(The)c(possible)h(v)n(alues)g(are)g(as)h(follo)n(ws:)1033
648 y(0)83 b(Do)20 b(not)g(remo)o(v)o(e)e(an)o(y)h(v)o(ertices)h(\(Def)
o(ault\))1035 774 y Ft(x)91 b FL(Where)34 b Ft(x)54 b
Fu(>)46 b FL(0,)36 b(instructs)d(the)g(algorithm)e(to)i(remo)o(v)o(e)e
(an)o(y)h(v)o(ertices)g(whose)g(de)o(gree)g(is)1158 883
y(greater)25 b(than)h(0)p Fu(:)p FL(1)21 b FM(\003)k
Ft(x)31 b FM(\003)23 b Fu(.)p FL(a)n(v)o(erage)c(de)o(gree\))m(.)44
b(F)o(or)26 b(e)o(xample)e(if)29 b Ft(x)41 b FM(D)34
b FL(40,)27 b(and)f(the)g(a)n(v)o(erage)1158 993 y(de)o(gree)18
b(is)i(5,)f(then)g(the)g(algorithm)e(will)j(remo)o(v)o(e)e(all)h(v)o
(ertices)g(with)h(de)o(gree)d(greater)h(than)h(20.)1158
1103 y(The)f(v)o(ertices)g(that)g(are)g(remo)o(v)o(ed)e(are)i(ordered)f
(last)i(\()p Fs(i.e)o FL(.,)g(the)o(y)f(are)g(automatically)f(placed)g
(in)1158 1212 y(the)22 b(top-le)n(v)o(el)f(separator\).)31
b(Good)22 b(v)n(alues)g(are)h(often)f(in)g(the)h(range)f(of)g(60)g(to)h
(200)f(\()p Fs(i.e)o FL(.,)i(6)e(to)1158 1322 y(20)e(times)g(more)g
(than)f(the)h(a)n(v)o(erage\).)581 1448 y(options[7])108
b(Used)23 b(to)g(determine)e(ho)n(w)h(man)o(y)g(separators)g(to)h
(\002nd)f(at)h(each)g(step)g(of)f(nested)h(dissection.)32
b(The)1033 1558 y(lar)o(ger)16 b(the)i(number)d(of)i(separators)g
(found)f(at)h(each)h(step,)g(the)f(higher)f(the)h(runtime)g(and)g
(better)g(the)1033 1667 y(quality)i(is)h(\(in)f(general\).)k(The)18
b(def)o(ault)h(v)n(alue)f(is)i(1,)f(unless)h(the)f(graph)f(has)h(been)f
(compressed)g(by)1033 1777 y(more)g(than)h(a)g(f)o(actor)g(of)f(2,)h
(in)g(which)g(case)g(it)h(becomes)e(2.)25 b(Reasonable)18
b(v)n(alues)h(are)f(in)i(the)f(range)1033 1886 y(of)h(1)g(to)h(5.)k(F)o
(or)20 b(most)g(problems,)e(a)j(v)n(alue)e(of)h(5)h(increases)f(the)g
(runtime)f(by)h(a)g(f)o(actor)g(of)g(3.)208 2003 y FC(perm,)g(iperm)581
2113 y FL(These)25 b(are)g(v)o(ectors,)f(each)h(of)g(size)g
Fs(n)p FL(.)39 b(Upon)24 b(successful)h(completion,)f(the)o(y)g(store)g
(the)h(\002ll-reducing)e(permu-)581 2222 y(tation)j(and)g(in)m(v)o
(erse-permutation.)39 b(Let)34 b Ft(A)29 b FL(be)d(the)g(original)f
(matrix)h(and)34 b Ft(A)2868 2192 y Fe(0)2915 2222 y
FL(be)27 b(the)f(permuted)e(matrix.)43 b(The)581 2332
y(arrays)21 b Fs(perm)g FL(and)f Fs(iperm)h FL(are)g(de\002ned)f(as)i
(follo)n(ws.)27 b(Ro)n(w)21 b(\(column\))d Ft(i)30 b
FL(of)f Ft(A)2836 2302 y Fe(0)2878 2332 y FL(is)22 b(the)f(perm)o
FM(T)o Ft(i)9 b FM(U)20 b FL(ro)n(w)h(\(column\))e(of)589
2441 y Ft(A)r FL(,)j(and)f(ro)n(w)g(\(column\))d Ft(i)31
b FL(of)e Ft(A)24 b FL(is)e(the)g(iperm)n FM(T)o Ft(i)9
b FM(U)21 b FL(ro)n(w)g(\(column\))f(of)29 b Ft(A)2659
2411 y Fe(0)2680 2441 y FL(.)g(The)21 b(numbering)e(of)i(this)h(v)o
(ector)f(starts)581 2551 y(from)e(either)h(0)g(or)g(1,)g(depending)e
(on)i(the)g(v)n(alue)f(of)h Fs(num\003a)o(g)p FL(.)0
2727 y FB(Note)208 2837 y FL(This)25 b(function)g(computes)f(the)i(v)o
(erte)o(x)e(separator)h(directly)g(by)g(using)g(a)h(multile)n(v)o(el)f
(algorithm.)40 b(This)26 b(function)e(produces)208 2946
y(high)19 b(quality)g(orderings)g(and)g(should)g(be)i(preferred)d(o)o
(v)o(er)g Fz(METIS)p 2192 2946 25 4 v 31 w(EdgeND)p FL(.)1908
5649 y(38)p eop
%%Page: 39 39
39 38 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(NodeWND)20
b FL(\(int)g(*n,)g(idxtype)f(*xadj,)g(idxtype)f(*adjnc)o(y)-5
b(,)18 b(idxtype)h(*vwgt,)g(int)h(*num\003ag,)f(int)h(*options,)710
193 y(idxtype)f(*perm,)g(idxtype)f(*iperm\))0 452 y FB(Description)208
561 y FL(This)25 b(function)f(computes)h(\002ll)h(reducing)e(orderings)
f(of)j(sparse)f(matrices)h(using)f(the)g(multile)n(v)o(el)g(nested)g
(dissection)g(algo-)208 671 y(rithm.)f(It)19 b(is)h(similar)f(to)g
Fz(METIS)p 1171 671 V 31 w(NodeWND)h FL(b)n(ut)f(it)g(assumes)h(that)f
(the)g(compression)e(has)i(been)f(already)g(performed)f(prior)208
780 y(to)22 b(calling)f(this)i(routine.)29 b(It)22 b(is)h(particularly)
d(suited)i(for)f(ordering)f(v)o(ery)h(lar)o(ge)g(matrices)g(in)h(which)
g(the)g(compressed)e(matrix)208 890 y(is)h(kno)n(wn)d(a)j(priori.)0
1066 y FB(P)n(arameter)o(s)208 1186 y FC(n)327 b FL(The)20
b(number)e(of)i(v)o(ertices)g(in)g(the)h(graph.)208 1302
y FC(xadj,)e(adjncy)581 1412 y FL(The)h(adjacenc)o(y)e(structure)i(of)g
(the)g(graph)f(as)i(described)d(in)j(Section)f(5.1.)208
1555 y FC(vwgt)201 b FL(The)20 b(weight)g(of)g(the)g(v)o(ertices.)208
1697 y FC(num\003ag)82 b FL(Used)22 b(to)f(indicate)g(which)g
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(adjacenc)o(y)f(structure)
g(of)h(the)g(graph.)27 b Fs(num\003a)o(g)581 1807 y FL(can)20
b(tak)o(e)g(the)h(follo)n(wing)d(tw)o(o)j(v)n(alues:)581
1950 y(0)83 b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h
(from)e(0)581 2076 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j
(assumed)e(that)i(starts)g(from)e(1)208 2219 y FC(options)114
b FL(This)22 b(is)g(an)f(array)f(of)h(5)h(inte)o(gers)e(that)h(is)i
(used)e(to)g(pass)h(parameters)e(for)h(the)g(v)n(arious)f(phases)h(of)g
(the)g(algorithm.)581 2328 y(If)j Fs(options[0]=0)e FL(then)h(def)o
(ault)g(v)n(alues)g(are)h(used.)34 b(If)24 b Fs(options[0]=1)p
FL(,)f(then)g(the)g(remaining)f(four)h(elements)g(of)581
2438 y Fs(options)c FL(are)i(interpreted)d(as)j(follo)n(ws:)581
2581 y(options[1])108 b(Determines)20 b(the)g(matching)f(type.)24
b(Possible)d(v)n(alues)e(are:)1033 2707 y(1)83 b(Random)19
b(Matching)g(\(RM\))1033 2833 y(2)83 b(Hea)n(vy-Edge)18
b(Matching)h(\(HEM\))1033 2959 y(3)83 b(Sorted)19 b(Hea)n(vy-Edge)f
(Matching)h(\(SHEM\))h(\(Def)o(ault\))1033 3086 y(Experiments)14
b(ha)n(v)o(e)h(sho)n(wn)g(that)h(all)h(three)e(matching)f(schemes)i
(perform)e(quite)h(well.)24 b(In)16 b(general)1033 3195
y(SHEM)22 b(is)h(f)o(aster)e(and)g(RM)i(is)f(slo)n(wer)m(,)f(b)n(ut)h
(feel)g(free)f(to)g(e)o(xperiment)f(with)i(the)f(other)g(matching)1033
3305 y(schemes.)581 3431 y(options[2])108 b(Determines)20
b(the)g(algorithm)f(used)g(during)g(initial)i(partitioning.)h(Possible)
f(v)n(alues)f(are:)1033 3557 y(1)83 b(Edge-based)18 b(re)o(gion)g(gro)n
(wing)h(\(Def)o(ault\))1033 3683 y(2)83 b(Node-based)18
b(re)o(gion)h(gro)n(wing)581 3810 y(options[3])108 b(Determines)20
b(the)g(algorithm)f(used)g(for)h(re\002nement.)k(Possible)c(v)n(alues)g
(are:)1033 3936 y(1)83 b(T)-7 b(w)o(o-sided)19 b(node)g(FM)i
(re\002nement)1033 4062 y(2)83 b(One-sided)19 b(node)g(FM)i
(re\002nement)d(\(Def)o(ault\))1033 4188 y(One-sided)i(FM)h
(re\002nement)f(is)i(f)o(aster)f(than)g(tw)o(o-sided,)f(b)n(ut)h(in)g
(some)f(cases)i(tw)o(o-sided)e(re\002ne-)1033 4298 y(ment)g(may)g
(produce)e(better)i(orderings.)j(Feel)d(free)g(to)h(e)o(xperiment)d
(with)i(this)h(option.)581 4424 y(options[4])108 b(Used)21
b(for)e(deb)n(ugging)f(purposes.)23 b(Al)o(w)o(ays)e(set)g(it)g(to)f(0)
h(\(Def)o(ault\).)208 4541 y FC(perm,)f(iperm)581 4650
y FL(These)25 b(are)g(v)o(ectors,)f(each)h(of)g(size)g
Fs(n)p FL(.)39 b(Upon)24 b(successful)h(completion,)f(the)o(y)g(store)g
(the)h(\002ll-reducing)e(permu-)581 4760 y(tation)j(and)g(in)m(v)o
(erse-permutation.)39 b(Let)34 b Ft(A)29 b FL(be)d(the)g(original)f
(matrix)h(and)34 b Ft(A)2868 4730 y Fe(0)2915 4760 y
FL(be)27 b(the)f(permuted)e(matrix.)43 b(The)581 4869
y(arrays)21 b Fs(perm)g FL(and)f Fs(iperm)h FL(are)g(de\002ned)f(as)i
(follo)n(ws.)27 b(Ro)n(w)21 b(\(column\))d Ft(i)30 b
FL(of)f Ft(A)2836 4839 y Fe(0)2878 4869 y FL(is)22 b(the)f(perm)o
FM(T)o Ft(i)9 b FM(U)20 b FL(ro)n(w)h(\(column\))e(of)589
4979 y Ft(A)r FL(,)j(and)f(ro)n(w)g(\(column\))d Ft(i)31
b FL(of)e Ft(A)24 b FL(is)e(the)g(iperm)n FM(T)o Ft(i)9
b FM(U)21 b FL(ro)n(w)g(\(column\))f(of)29 b Ft(A)2659
4949 y Fe(0)2680 4979 y FL(.)g(The)21 b(numbering)e(of)i(this)h(v)o
(ector)f(starts)581 5089 y(from)e(either)h(0)g(or)g(1,)g(depending)e
(on)i(the)g(v)n(alue)f(of)h Fs(num\003a)o(g)p FL(.)1908
5649 y(39)p eop
%%Page: 40 40
40 39 bop 0 83 a Fr(5.7)100 b(A)m(uxiliar)q(y)28 b(Routines)0
242 y FB(METIS)p 258 242 25 4 v 31 w(MeshT)-7 b(oNodal)20
b FL(\(int)g(*ne,)f(int)i(*nn,)e(idxtype)g(*elmnts,)g(int)i(*etype,)d
(int)j(*num\003ag,)d(idxtype)h(*nxadj,)f(idxtype)h(*nadjnc)o(y\))0
501 y FB(Description)208 611 y FL(This)26 b(function)f(is)i(used)f(to)g
(con)m(v)o(ert)f(a)h(mesh)g(into)g(a)h(nodal)f(graph,)g(in)g(a)h
(format)e(suitable)h(for)i Fz(M)l FG(E)-17 b Fz(T)g FG(I)p
Fz(S)r(lib)p FL(.)46 b(It)27 b(pro)o(vides)e(the)208
721 y(function)18 b(of)i(the)g Fp(mesh2nodal)f FL(program.)0
897 y FB(P)n(arameter)o(s)208 1016 y FC(ne)290 b FL(The)20
b(number)e(of)i(elements)g(in)h(the)f(mesh.)208 1159
y FC(nn)281 b FL(The)20 b(number)e(of)i(nodes)g(in)g(the)g(mesh.)208
1302 y FC(elmnts)138 b FL(The)20 b(element)g(node)f(array)g(storing)g
(the)i(mesh)f(as)h(described)d(in)j(Section)f(5.2.)208
1445 y FC(etype)183 b FL(Indicates)20 b(the)g(type)g(of)f(the)i
(elements)f(in)g(the)g(mesh.)25 b Fs(etype)20 b FL(can)g(tak)o(e)g(the)
g(follo)n(wing)f(v)n(alues:)581 1587 y(1)83 b(The)20
b(elements)f(are)i(triangles.)581 1714 y(2)83 b(The)20
b(elements)f(are)i(tetrahedra.)581 1840 y(3)83 b(The)20
b(elements)f(are)i(he)o(xahedra)c(\(bricks\).)581 1966
y(4)83 b(The)20 b(elements)f(are)i(quadrilaterals.)208
2109 y FC(num\003ag)82 b FL(Used)22 b(to)h(indicate)e(which)h
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(element)f(node)g(array)-5
b(.)30 b Fs(num\003a)o(g)20 b FL(can)i(tak)o(e)h(the)581
2218 y(follo)n(wing)c(tw)o(o)h(v)n(alues:)581 2361 y(0)83
b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h(from)e(0)581
2487 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j(assumed)e(that)i
(starts)g(from)e(1)208 2604 y FC(nxadj,)g(nadjncy)581
2714 y FL(These)29 b(arrays)f(store)g(the)h(adjacenc)o(y)e(structure)h
(of)g(the)h(nodal)e(graph.)49 b(The)29 b(user)f(must)h(pro)o(vide)d
(arrays)i(that)581 2823 y(are)c(suf)n(\002ciently)g(lar)o(ge)f(to)i
(store)f(the)g(graph.)36 b(The)24 b(size)h(of)f(array)f
Fs(nxadj)h FL(is)h Fs(nn+1)e FL(where)h(the)g(size)h(of)f
Fs(nadjncy)581 2933 y FL(depends)i(on)g(the)h(type)f(of)h(the)g(mesh.)
44 b(F)o(or)27 b(triangular)n(-element)d(and)i(he)o(xahedra-element)d
(meshes,)28 b Fs(nadjncy)581 3042 y FL(should)19 b(be)g(at)h(least)h(6)
15 b FM(\003)h Fs(nn)o FL(,)k(for)f(quadrilateral-element)e(meshes,)i
Fs(nadjncy)f FL(should)g(be)i(at)g(least)g(4)c FM(\003)g
Fs(nn)o FL(,)k(and)f(for)581 3152 y(tetrahedra-element)e(meshes,)j
Fs(nadjncy)f FL(should)g(be)h(at)h(least)g(15)c FM(\003)i
Fs(nn)o FL(.)0 3328 y FB(Note)208 3438 y FL(The)k(nodal)h(graph)e(is)k
(de\002ned)d(as)i(the)f(graph)f(in)h(which)g(each)g(v)o(erte)o(x)e(of)i
(the)h(graph)d(corresponds)g(to)j(a)f(node)f(in)i(the)f(mesh,)208
3547 y(and)19 b(tw)o(o)i(v)o(ertices)e(are)h(connected)f(by)h(an)g
(edge)f(if)i(the)f(corresponding)d(nodes)i(a)i(connected)d(by)i(an)g
(element.)1908 5649 y(40)p eop
%%Page: 41 41
41 40 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(MeshT)-7
b(oDual)20 b FL(\(int)g(*ne,)g(int)g(*nn,)f(idxtype)g(*elmnts,)g(int)i
(*etype,)e(int)h(*num\003ag,)e(idxtype)h(*dxadj,)g(idxtype)f(*dadjnc)o
(y\))0 342 y FB(Description)208 452 y FL(This)28 b(function)e(is)j
(used)f(to)h(con)m(v)o(ert)d(a)i(mesh)g(into)g(a)h(dual)f(graph,)g(in)g
(a)h(format)e(suitable)h(for)i Fz(M)l FG(E)-17 b Fz(T)g
FG(I)p Fz(S)r(lib)p FL(.)52 b(It)28 b(pro)o(vides)f(the)208
561 y(function)18 b(of)i(the)g Fp(mesh2nodal)f FL(program.)0
737 y FB(P)n(arameter)o(s)208 857 y FC(ne)290 b FL(The)20
b(number)e(of)i(elements)g(in)h(the)f(mesh.)208 1000
y FC(nn)281 b FL(The)20 b(number)e(of)i(nodes)g(in)g(the)g(mesh.)208
1142 y FC(elmnts)138 b FL(The)20 b(element)g(node)f(array)g(storing)g
(the)i(mesh)f(as)h(described)d(in)j(Section)f(5.2.)208
1285 y FC(etype)183 b FL(Indicates)20 b(the)g(type)g(of)f(the)i
(elements)f(in)g(the)g(mesh.)25 b Fs(etype)20 b FL(can)g(tak)o(e)g(the)
g(follo)n(wing)f(v)n(alues:)581 1428 y(1)83 b(The)20
b(elements)f(are)i(triangles.)581 1554 y(2)83 b(The)20
b(elements)f(are)i(tetrahedra.)581 1680 y(3)83 b(The)20
b(elements)f(are)i(he)o(xahedra)c(\(bricks\).)581 1807
y(4)83 b(The)20 b(elements)f(are)i(quadrilaterals.)208
1949 y FC(num\003ag)82 b FL(Used)22 b(to)h(indicate)e(which)h
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(element)f(node)g(array)-5
b(.)30 b Fs(num\003a)o(g)20 b FL(can)i(tak)o(e)h(the)581
2059 y(follo)n(wing)c(tw)o(o)h(v)n(alues:)581 2202 y(0)83
b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h(from)e(0)581
2328 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j(assumed)e(that)i
(starts)g(from)e(1)208 2445 y FC(dxadj,)g(dadjncy)581
2554 y FL(These)31 b(arrays)g(store)g(the)g(adjacenc)o(y)e(structure)h
(of)h(the)g(dual)g(graph.)56 b(The)31 b(user)g(must)g(pro)o(vide)e
(arrays)h(that)581 2664 y(are)25 b(suf)n(\002ciently)e(lar)o(ge)h(to)g
(store)h(the)f(graph.)37 b(The)24 b(size)h(of)g(array)e
Fs(dxadj)h FL(is)h Fs(ne+1)f FL(where)g(the)h(size)g(of)f
Fs(dadjncy)581 2773 y FL(depends)e(on)g(the)h(type)f(of)h(the)g(mesh.)
33 b(F)o(or)22 b(triangular)n(-element)e(meshes,)j Fs(dadjncy)f
FL(should)f(be)i(at)h(least)f(3)d FM(\003)h Fs(ne)o FL(,)581
2883 y(for)i(tetrahedra-element)d(and)j(quadrilateral-element)d
(meshes,)j Fs(dadjncy)f FL(should)g(be)i(at)f(least)h(4)d
FM(\003)g Fs(ne)o FL(,)j(and)f(for)581 2993 y(he)o(xahedra-element)16
b(meshes,)k Fs(dadjncy)f FL(should)g(be)h(at)h(least)g(6)d
FM(\003)g Fs(ne)p FL(.)0 3169 y FB(Note)208 3278 y FL(The)h(dual)f
(graph)g(is)j(de\002ned)d(as)i(the)g(graph)e(in)h(which)g(each)g(v)o
(erte)o(x)f(of)h(the)g(graph)f(corresponds)f(to)j(an)f(element)g(in)h
(the)f(mesh,)208 3388 y(and)g(tw)o(o)i(v)o(ertices)e(are)h(connected)f
(by)h(an)g(edge)f(if)i(the)f(corresponding)d(elements)j(share)f(a)i(f)o
(ace.)1908 5649 y(41)p eop
%%Page: 42 42
42 41 bop 0 83 a FB(METIS)p 258 83 25 4 v 31 w(EstimateMemor)q(y)21
b FL(\(int)f(*n,)f(idxtype)g(*xadj,)g(int)h(*adjnc)o(y)-5
b(,)18 b(int)i(*num\003ag,)f(int)h(*optype,)e(int)j(*nbytes\))0
342 y FB(Description)208 452 y FL(This)d(function)e(is)j(used)e(to)h
(estimate)g(the)g(amount)f(of)g(memory)g(that)h(will)g(be)g(used)g(by)h
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r FL(.)20 b(Ev)o(en)d(though,)h
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)22 b FL(dynam-)208
561 y(ically)f(allocates)g(the)g(amount)f(of)g(memory)g(that)h(it)h
(needs,)e(this)i(function)d(can)i(be)g(useful)g(in)g(determining)e(if)i
(the)g(amount)f(of)208 671 y(memory)e(in)i(the)h(system)f(is)h(suf)n
(\002cient)f(for)h Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r
FL(.)0 847 y FB(P)n(arameter)o(s)208 966 y FC(n)327 b
FL(The)20 b(number)e(of)i(v)o(ertices)g(in)g(the)h(graph.)208
1083 y FC(xadj,)e(adjncy)581 1193 y FL(The)h(adjacenc)o(y)e(structure)i
(of)g(the)g(graph)f(as)i(described)d(in)j(Section)f(5.1.)208
1335 y FC(num\003ag)82 b FL(Used)22 b(to)h(indicate)e(which)h
(numbering)d(scheme)j(is)h(used)f(for)g(the)g(element)f(node)g(array)-5
b(.)30 b Fs(num\003a)o(g)20 b FL(can)i(tak)o(e)h(the)581
1445 y(follo)n(wing)c(tw)o(o)h(v)n(alues:)581 1588 y(0)83
b(C-style)20 b(numbering)e(is)j(assumed)f(that)g(starts)h(from)e(0)581
1714 y(1)83 b(F)o(ortran-style)18 b(numbering)g(is)j(assumed)e(that)i
(starts)g(from)e(1)208 1857 y FC(optype)132 b FL(Indicates)15
b(the)h(operation)d(for)i(which)g(the)h(memory)e(will)i(be)g
(estimated.)23 b Fs(optype)14 b FL(can)i(tak)o(e)f(the)h(follo)n(wing)e
(v)n(alues:)581 2000 y(1)83 b(Estimates)15 b(the)h(memory)d(needed)h
(for)h Fz(METIS)p 2076 2000 V 30 w(P)m(ar)s(tGr)o(aphRecursiv)n(e)g
FL(and)g Fz(METIS)p 3260 2000 V 30 w(WP)m(ar)s(tGr)o(aphRecursiv)n(e)p
FL(.)581 2126 y(2)83 b(Estimates)20 b(the)h(memory)d(needed)h(for)g
Fz(METIS)p 2100 2126 V 31 w(P)m(ar)s(tGr)o(aphKw)o(a)n(y)h
FL(and)g Fz(METIS)p 3127 2126 V 30 w(WP)m(ar)s(tGr)o(aphKw)o(a)n(y)p
FL(.)581 2252 y(3)83 b(Estimates)20 b(the)h(memory)d(needed)h(for)g
Fz(METIS)p 2100 2252 V 31 w(EdgeND)p FL(.)581 2378 y(4)83
b(Estimates)25 b(the)g(memory)d(needed)i(for)g Fz(METIS)p
2123 2378 V 30 w(NodeND)p FL(,)i(b)n(ut)e(it)i(does)e(not)h(tak)o(e)f
(into)h(account)e(memory)706 2488 y(sa)n(v)o(ed)d(due)f(to)i
(compression.)208 2631 y FC(nbytes)142 b FL(Upon)19 b(return,)g
Fs(nbytes)h FL(stores)g(an)h(estimate)f(on)g(the)g(number)e(of)i(bytes)
g(that)j Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)24 b FL(requires.)1908
5649 y(42)p eop
%%Page: 43 43
43 42 bop 0 83 a Fr(5.8)100 b(C)28 b(and)g(For)r(tran)f(Suppor)r(t)0
242 y FL(The)g(v)n(arious)g(routines)f(in)k Fz(M)l FG(E)-17
b Fz(T)g FG(I)p Fz(S)r(lib)31 b FL(can)c(be)h(called)f(from)g(either)g
(C)h(or)f(F)o(ortran)g(programs.)45 b(Using)27 b(C)i(with)h
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)30 b FL(is)f(quite)0
352 y(straightforw)o(ard)24 b(\(as)30 b Fz(M)l FG(E)-17
b Fz(T)g FG(I)p Fz(S)31 b FL(is)d(written)f(entirely)f(in)h(C\).)g(Ho)n
(we)n(v)o(er)m(,)h Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)31
b FL(fully)26 b(supports)g(F)o(ortran)g(as)h(well.)46
b(This)27 b(support)0 462 y(comes)20 b(in)g(three)g(forms.)104
638 y(1.)41 b(All)20 b(the)h(scalar)f(ar)o(guments)e(in)i(the)h
(routines)e(are)h(passed)g(by)g(reference)e(to)j(f)o(acilitate)f(F)o
(ortran)f(programs.)104 814 y(2.)41 b(All)22 b(the)g(routines)f(tak)o
(e)h(a)h(parameter)d(called)i Fs(num\003a)o(g)e FL(indicating)h
(whether)g(or)h(not)f(the)h(numbering)e(of)h(the)h(graph)f(or)h(mesh)
208 923 y(starts)28 b(from)e(0)h(or)g(1.)46 b(In)27 b(C)h(programs)e
(numbering)e(usually)j(starts)h(from)e(0,)j(whereas)e(in)g(F)o(ortran)f
(programs)f(numbering)208 1033 y(starts)c(from)e(1.)104
1209 y(3.)43 b Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)21
b FL(incorporates)c(alternati)n(v)o(e)g(names)i(for)f(each)g(of)g(the)h
(routines)e(to)i(f)o(acilitate)g(linking)e(the)i(library)f(with)g(F)o
(ortran)g(pro-)208 1318 y(grams.)29 b(In)22 b(particular)m(,)f(for)g(e)
n(v)o(ery)g(function)h Fz(M)l FG(E)-17 b Fz(T)g FG(I)p
Fz(S)r(lib)25 b FL(pro)o(vides)c(three)g(additional)g(names,)h(one)f
(all)i(capital,)f(one)f(all)i(lo)n(wer)208 1428 y(case,)f(and)g(one)f
(all)i(lo)n(wer)e(case)h(with)h(`)p 1363 1428 25 4 v
29 w(')f(appended)e(to)i(it.)31 b(F)o(or)22 b(e)o(xample,)e(for)i
Fz(METIS)p 2801 1428 V 30 w(P)m(ar)s(tGr)o(aphKw)o(a)n(y)p
FL(,)i Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)r(lib)26
b FL(pro-)208 1538 y(vides)c Fz(METIS)p 664 1538 V 30
w(P)-10 b(AR)n(TGRAPHKW)l(A)i(Y)p FL(,)24 b Fz(metis)p
1672 1538 V 30 w(par)s(tg)o(r)o(aphkw)o(a)n(y)p FL(,)f(and)e
Fz(metis)p 2629 1538 V 31 w(par)s(tg)o(r)o(aphkw)o(a)n(y)p
3203 1538 V 29 w FL(.)31 b(These)22 b(e)o(xtra)g(names)208
1647 y(allo)n(w)j(the)h(library)f(to)h(be)g(directly)f(link)o(ed)g
(into)g(F)o(ortran)g(programs)f(on)h(a)i(wide)e(range)g(of)h
(architectures)e(including)g(Cray)-5 b(,)208 1757 y(SGI,)20
b(and)h(HP)-9 b(.)21 b(If)f(you)g(still)i(encounter)d(problems)g
(linking)h(with)h(the)g(library)f(let)h(us)g(kno)n(w)f(so)h(we)g(can)g
(include)f(appropriate)208 1866 y(support.)1908 5649
y(43)p eop
%%Page: 44 44
44 43 bop 0 85 a FD(6)116 b(System)31 b(Requirements)g(and)h(Contact)f
(Inf)n(ormation)0 261 y FL(The)24 b(distrib)n(ution)g(of)i
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)30 b FL(contains)24
b(a)h(number)e(of)h(\002les,)j(that)e(total)g(to)g(o)o(v)o(er)e(22,000)
g(lines)i(of)f(code.)38 b(It)25 b(is)h(written)e(entirely)g(in)0
370 y(ANSI)f(C,)h(and)e(is)i(portable)e(on)g(most)h(Unix)g(systems)g
(that)g(ha)n(v)o(e)f(an)h(ANSI)g(C)h(compiler)e(\(the)g(GNU)i(C)g
(compiler)d(will)j(do\).)32 b(It)23 b(has)0 480 y(been)17
b(e)o(xtensi)n(v)o(ely)g(tested)h(on)g(AIX,)g(SunOS,)f(Solaris,)i
(IRIX,)f(Linux,)f(HP-UX,)h(BSD,)h(and)f(Unicos.)24 b(Instructions)16
b(on)i(ho)n(w)g(to)g(b)n(uild)0 590 y(and)i(install)i
Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)25 b FL(can)20 b(be)g(found)e(in)j
(the)f(\002le)h Fp(INSTALL)e FL(of)h(the)g(distrib)n(ution.)100
699 y(Ev)o(en)d(though,)i Fz(M)l FG(E)-17 b Fz(T)g FG(I)p
Fz(S)23 b FL(contains)18 b(no)h(kno)n(wn)e(b)n(ugs,)h(it)i(does)e(not)h
(mean)f(that)h(all)g(of)f(its)i(b)n(ugs)f(ha)n(v)o(e)f(been)g(found)f
(and)h(\002x)o(ed.)24 b(If)18 b(you)0 809 y(\002nd)24
b(an)o(y)f(problems,)g(please)h(send)f(email)h(to)g Fs
(metis@cs.umn.edu)p FL(,)g(with)g(a)g(brief)f(description)g(of)g(the)h
(problem)e(you)h(ha)n(v)o(e)h(found.)0 918 y(Also,)c(an)o(y)g(future)f
(updates)g(to)j Fz(M)l FG(E)-17 b Fz(T)g FG(I)p Fz(S)25
b FL(will)c(be)f(made)g(a)n(v)n(ailable)f(on)h(WWW)i(at)f
Fs(http://www)-6 b(.cs.umn.edu/\230metis)p FL(.)0 1164
y FD(Ref)o(erences)37 1331 y FK([1])42 b(Stephen)26 b(T)-6
b(.)26 b(Barnard)g(and)g(Horst)g(D.)f(Simon.)49 b(A)25
b(f)o(ast)h(multile)n(v)o(el)g(implementation)g(of)g(recursi)n(v)o(e)g
(spectral)g(bisection)h(for)e(partitioning)166 1431 y(unstructured)d
(problems.)34 b(In)21 b FJ(Pr)m(oceedings)h(of)e(the)h(sixth)g(SIAM)g
(confer)m(ence)i(on)e(P)-6 b(ar)o(allel)20 b(Pr)m(ocessing)i(for)e
(Scienti\002c)i(Computing)p FK(,)g(pages)166 1532 y(711\226718,)f
(1993.)37 1649 y([2])42 b(A.)19 b(Geor)o(ge)h(and)h(J.)e(W)-7
b(.-H.)18 b(Liu.)29 b FJ(Computer)21 b(Solution)f(of)g(Lar)m(g)o(e)h
(Spar)o(se)g(P)-6 b(ositive)19 b(De\002nite)h(Systems)p
FK(.)30 b(Prentice-Hall,)19 b(Engle)n(w)o(ood)i(Clif)n(fs,)166
1749 y(NJ,)d(1981.)37 1866 y([3])42 b(Anshul)d(Gupta,)44
b(Geor)o(ge)39 b(Karypis,)44 b(and)c(V)l(ipin)e(K)o(umar)l(.)91
b(Highly)39 b(scalable)g(parallel)g(algorithms)g(for)g(sparse)g(matrix)
f(f)o(actoriza-)166 1967 y(tion.)64 b FJ(IEEE)30 b(T)l(r)o(ansactions)h
(on)g(P)-6 b(ar)o(allel)30 b(and)i(Distrib)o(uted)e(Systems)p
FK(,)k(8\(5\):502\226520,)i(May)31 b(1997.)66 b(A)-6
b(v)n(ailable)31 b(on)g(WWW)e(at)i(URL)166 2067 y(http://www)-5
b(.cs.umn.edu/\230karypis.)37 2184 y([4])42 b(Bruce)15
b(Hendrickson)i(and)f(Robert)f(Leland.)k(The)c(chaco)h(user')l(s)f
(guide,)h(v)o(ersion)g(1.0.)i(T)-5 b(echnical)16 b(Report)f
(SAND93-2339,)h(Sandia)g(National)166 2285 y(Laboratories,)j(1993.)37
2402 y([5])42 b(Bruce)26 b(Hendrickson)h(and)f(Robert)g(Leland.)48
b(A)25 b(multile)n(v)o(el)g(algorithm)h(for)g(partitioning)g(graphs.)49
b(T)-5 b(echnical)25 b(Report)h(SAND93-1301,)166 2502
y(Sandia)19 b(National)g(Laboratories,)g(1993.)37 2619
y([6])42 b(G.)30 b(Karypis)g(and)h(V)-10 b(.)30 b(K)o(umar)l(.)62
b(Multile)n(v)o(el)31 b(algorithms)f(for)g(multi-constraint)g(graph)i
(partitioning.)63 b(T)-5 b(echnical)30 b(Report)g(TR)g(98-019,)166
2720 y(Department)19 b(of)g(Computer)h(Science,)f(Uni)n(v)o(ersity)g
(of)g(Minnesota,)h(1998.)37 2837 y([7])42 b(G.)24 b(Karypis)h(and)g(V)
-10 b(.)24 b(K)o(umar)l(.)44 b(Multile)n(v)o(el)25 b(k-w)o(ay)g
(partitioning)g(scheme)g(for)f(irre)o(gular)g(graphs.)46
b FJ(J)n(ournal)26 b(of)e(P)-6 b(ar)o(allel)24 b(and)h(Distrib)o(uted)
166 2937 y(Computing)p FK(,)19 b(48\(1\):96\226129,)j(1998.)28
b(Also)18 b(a)o(v)n(ailable)i(on)f(WWW)e(at)i(URL)f(http://www)-5
b(.cs.umn.edu/\230karypis.)37 3055 y([8])42 b(G.)23 b(Karypis)h(and)g
(V)-10 b(.)23 b(K)o(umar)l(.)42 b(A)23 b(f)o(ast)h(and)g(highly)g
(quality)g(multile)n(v)o(el)f(scheme)i(for)e(partitioning)h(irre)o
(gular)f(graphs.)43 b FJ(SIAM)23 b(J)n(ournal)i(on)166
3155 y(Scienti\002c)f(Computing)p FK(,)g(1998)g(\(to)f(appear\).)40
b(Also)23 b(a)o(v)n(ailable)g(on)h(WWW)d(at)i(URL)f(http://www)-5
b(.cs.umn.edu/\230karypis.)23 b(A)g(short)g(v)o(ersion)166
3255 y(appears)d(in)f(Intl.)f(Conf.)h(on)g(P)o(arallel)f(Processing)h
(1995.)37 3372 y([9])42 b(Geor)o(ge)21 b(Karypis,)f(Rajat)g(Aggarw)o
(al,)h(V)l(ipin)f(K)o(umar)m(,)g(and)i(Shashi)e(Shekhar)l(.)32
b(Multile)n(v)o(el)20 b(hyper)o(graph)i(partitioning:)27
b(Application)21 b(in)f(vlsi)166 3473 y(domain.)28 b(In)19
b FJ(Pr)m(oceedings)g(of)g(the)g(Design)h(and)f(A)o(utomation)g(Confer)
m(ence)p FK(,)h(1997.)0 3590 y([10])42 b(V)l(ipin)19
b(K)o(umar)m(,)h(Ananth)g(Grama,)f(Anshul)i(Gupta,)e(and)i(Geor)o(ge)e
(Karypis.)30 b FJ(Intr)m(oduction)20 b(to)g(P)-6 b(ar)o(allel)19
b(Computing:)25 b(Design)20 b(and)h(Analysis)166 3690
y(of)e(Algorithms)p FK(.)27 b(Benjamin/Cummings)20 b(Publishing)f
(Compan)o(y)-5 b(,)20 b(Redw)o(ood)g(City)-5 b(,)19 b(CA,)f(1994.)1908
5649 y FL(44)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF