%!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 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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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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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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 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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 - 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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 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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 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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 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(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 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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 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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 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/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 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(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 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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 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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