RetroSearch Browse

Home - News ( United States | United Kingdom | Italy | Germany ) - Football scores

Showing content from https://tromp.github.io/go/gostate.ps below:

%!PS-Adobe-2.0 %%Creator: dvips(k) 5.993 Copyright 2013 Radical Eye Software %%Title: gostate.dvi %%CreationDate: Tue May 26 15:12:25 2015 %%Pages: 38 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentFonts: CMR17 CMR12 CMBX9 CMR9 CMMI9 CMSY9 CMR6 CMMI6 CMTI9 %%+ CMSY6 CMMI5 CMEX9 CMR5 CMSY5 CMBX12 CMR10 CMTI10 CMTT10 CMMI7 CMMI10 %%+ CMSY10 CMR7 CMCSC10 CMR8 CMEX10 CMBX10 CMSY7 CMBX7 Helvetica %%DocumentPaperSizes: Letter %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips gostate.dvi -o %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2015.05.26:1512 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3 def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90 rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse} forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{ BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat {BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B /M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M} B/g{0 M}B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{ 0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: groff.enc 0 0 %!PS-Adobe-3.0 Resource-Encoding % % @psencodingfile{ % author = "Werner Lemberg, Michail Vidiassov", % version = "1.0", % date = "2006-Feb-03", % filename = "groff.enc", % license = "public domain", % email = "groff@gnu.org", % docstring = "Groff default text encoding. Used with MetaPost." % } %%BeginResource: encoding groffEncoding /groffEncoding [ % 0x00 | 0 /asciicircum /asciitilde /Scaron /Zcaron /scaron /zcaron /Ydieresis /trademark /quotesingle /Euro /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef % 0x10 | 16 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef % 0x20 | 32 /space /exclam /quotedbl /numbersign /dollar /percent /ampersand /quoteright /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash % 0x30 | 48 /zero /one /two /three /four /five /six /seven /eight /nine /colon /semicolon /less /equal /greater /question % 0x40 | 64 /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O % 0x50 | 80 /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /backslash /bracketright /circumflex /underscore % 0x60 | 96 /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o % 0x70 | 112 /p /q /r /s /t /u /v /w /x /y /z /braceleft /bar /braceright /tilde /.notdef % 0x80 | 128 /quotesinglbase /guillemotleft /guillemotright /bullet /florin /fraction /perthousand /dagger /daggerdbl /endash /emdash /ff /fi /fl /ffi /ffl % 0x90 | 144 /dotlessi /dotlessj /grave /hungarumlaut /dotaccent /breve /caron /ring /ogonek /quotedblleft /quotedblright /oe /lslash /quotedblbase /OE /Lslash % 0xA0 | 160 /.notdef /exclamdown /cent /sterling /currency /yen /brokenbar /section /dieresis /copyright /ordfeminine /guilsinglleft /logicalnot /minus /registered /macron % 0xB0 | 176 /degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered /cedilla /onesuperior /ordmasculine /guilsinglright /onequarter /onehalf /threequarters /questiondown % 0xC0 | 192 /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis % 0xD0 | 208 /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls % 0xE0 | 224 /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis % 0xF0 | 240 /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis ] def %%EndResource % eof %%EndProcSet %%BeginProcSet: texps.pro 0 0 %! TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0 ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{ pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type /nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[ exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if} forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def end %%EndProcSet %%BeginProcSet: special.pro 0 0 %! TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N /vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N /rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N /@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{ /hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B /@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{ /urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known {userdict/md get type/dicttype eq{userdict begin md length 10 add md maxlength ge{/md md dup length 20 add dict copy def}if end md begin /letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{ itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack} if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{ noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{ Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale }if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState save N userdict maxlength dict begin/magscale true def normalscale currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts /psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def @MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N /@beginspecial{SDict begin/SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N} N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N /setpagedevice{pop}N/copypage{}N newpath}N/@endspecial{count ocount sub{ pop}repeat countdictstack dcount sub{end}repeat grestore SpecialSave restore end}N/@defspecial{SDict begin}N/@fedspecial{end}B/li{lineto}B /rl{rlineto}B/rc{rcurveto}B/np{/SaveX currentpoint/SaveY X N 1 setlinecap newpath}N/st{stroke SaveX SaveY moveto}N/fil{fill SaveX SaveY moveto}N/ellipse{/endangle X/startangle X/yrad X/xrad X/savematrix matrix currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc savematrix setmatrix}N end %%EndProcSet %%BeginFont: CMBX7 %!PS-AdobeFont-1.0: CMBX7 003.002 %%Title: CMBX7 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMBX7. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMBX7 known{/CMBX7 findfont dup/UniqueID known{dup /UniqueID get 5000765 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMBX7 def /FontBBox {-55 -250 1289 751 }readonly def /UniqueID 5000765 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMBX7.) readonly def /FullName (CMBX7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 76 /L put dup 101 /e put dup 102 /f put dup 108 /l put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMSY7 %!PS-AdobeFont-1.0: CMSY7 003.002 %%Title: CMSY7 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMSY7. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMSY7 known{/CMSY7 findfont dup/UniqueID known{dup /UniqueID get 5096648 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMSY7 def /FontBBox {-15 -951 1251 782 }readonly def /UniqueID 5096648 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMSY7.) readonly def /FullName (CMSY7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 20 /lessequal put dup 21 /greaterequal put dup 24 /similar put dup 33 /arrowright put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 106 /bar put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.0: CMBX10 003.002 %%Title: CMBX10 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMBX10. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMBX10 known{/CMBX10 findfont dup/UniqueID known{dup /UniqueID get 5000768 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMBX10 def /FontBBox {-56 -250 1164 750 }readonly def /UniqueID 5000768 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMBX10.) readonly def /FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 55 /seven put dup 66 /B put dup 67 /C put dup 73 /I put dup 74 /J put dup 76 /L put dup 77 /M put dup 80 /P put dup 84 /T put dup 86 /V put dup 97 /a put dup 98 /b put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 123 /endash put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMEX10 %!PS-AdobeFont-1.0: CMEX10 003.002 %%Title: CMEX10 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMEX10. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMEX10 known{/CMEX10 findfont dup/UniqueID known{dup /UniqueID get 5092766 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMEX10 def /FontBBox {-24 -2960 1454 772 }readonly def /UniqueID 5092766 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMEX10.) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /parenleftbig put dup 1 /parenrightbig put dup 16 /parenleftBig put dup 17 /parenrightBig put dup 48 /parenlefttp put dup 49 /parenrighttp put dup 64 /parenleftbt put dup 65 /parenrightbt put dup 66 /parenleftex put dup 67 /parenrightex put dup 80 /summationtext put dup 81 /producttext put dup 88 /summationdisplay put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.0: CMBX12 003.002 %%Title: CMBX12 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMBX12. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMBX12 known{/CMBX12 findfont dup/UniqueID known{dup /UniqueID get 5000769 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMBX12 def /FontBBox {-53 -251 1139 750 }readonly def /UniqueID 5000769 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMBX12.) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 72 /H put dup 73 /I put dup 76 /L put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.0: CMR8 003.002 %%Title: CMR8 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMR8. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMR8 known{/CMR8 findfont dup/UniqueID known{dup /UniqueID get 5000791 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMR8 def /FontBBox {-36 -250 1070 750 }readonly def /UniqueID 5000791 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMR8.) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 73 /I put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMCSC10 %!PS-AdobeFont-1.0: CMCSC10 003.002 %%Title: CMCSC10 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMCSC10. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMCSC10 known{/CMCSC10 findfont dup/UniqueID known{dup /UniqueID get 5087402 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMCSC10 def /FontBBox {14 -250 1077 750 }readonly def /UniqueID 5087402 def /PaintType 0 def /FontInfo 10 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMCSC10.) readonly def /FullName (CMCSC10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /ascent 750 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 67 /C put dup 68 /D put dup 76 /L put dup 80 /P put dup 82 /R put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.0: CMR7 003.002 %%Title: CMR7 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMR7. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMR7 known{/CMR7 findfont dup/UniqueID known{dup /UniqueID get 5000790 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMR7 def /FontBBox {-27 -250 1122 750 }readonly def /UniqueID 5000790 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMR7.) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 91 /bracketleft put dup 93 /bracketright put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.0: CMSY10 003.002 %%Title: CMSY10 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMSY10. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMSY10 known{/CMSY10 findfont dup/UniqueID known{dup /UniqueID get 5096651 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMSY10 def /FontBBox {-29 -960 1116 775 }readonly def /UniqueID 5096651 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMSY10.) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 15 /bullet put dup 17 /equivalence put dup 20 /lessequal put dup 21 /greaterequal put dup 24 /similar put dup 25 /approxequal put dup 33 /arrowright put dup 50 /element put dup 54 /negationslash put dup 91 /union put dup 100 /ceilingleft put dup 101 /ceilingright put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 110 /backslash put dup 112 /radical put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.0: CMMI10 003.002 %%Title: CMMI10 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMMI10. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMMI10 known{/CMMI10 findfont dup/UniqueID known{dup /UniqueID get 5087385 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMMI10 def /FontBBox {-32 -250 1048 750 }readonly def /UniqueID 5087385 def /PaintType 0 def /FontInfo 10 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMMI10.) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /ascent 750 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 12 /beta put dup 13 /gamma put dup 21 /lambda put dup 30 /phi put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 65 /A put dup 66 /B put dup 69 /E put dup 71 /G put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 84 /T put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMMI7 %!PS-AdobeFont-1.0: CMMI7 003.002 %%Title: CMMI7 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMMI7. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMMI7 known{/CMMI7 findfont dup/UniqueID known{dup /UniqueID get 5087382 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMMI7 def /FontBBox {-1 -250 1171 750 }readonly def /UniqueID 5087382 def /PaintType 0 def /FontInfo 10 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMMI7.) readonly def /FullName (CMMI7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /ascent 750 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 30 /phi put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 76 /L put dup 77 /M put dup 78 /N put dup 84 /T put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 113 /q put dup 114 /r put dup 115 /s put dup 118 /v put dup 121 /y put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMTT10 %!PS-AdobeFont-1.0: CMTT10 003.002 %%Title: CMTT10 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMTT10. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMTT10 known{/CMTT10 findfont dup/UniqueID known{dup /UniqueID get 5000832 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMTT10 def /FontBBox {-4 -233 537 696 }readonly def /UniqueID 5000832 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMTT10.) readonly def /FullName (CMTT10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 58 /colon put dup 71 /G put dup 79 /O put dup 80 /P put dup 83 /S put dup 84 /T put dup 88 /X put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.0: CMTI10 003.002 %%Title: CMTI10 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMTI10. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMTI10 known{/CMTI10 findfont dup/UniqueID known{dup /UniqueID get 5000828 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMTI10 def /FontBBox {-35 -250 1124 750 }readonly def /UniqueID 5000828 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMTI10.) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 14 /ffi put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 57 /nine put dup 58 /colon put dup 65 /A put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 76 /L put dup 77 /M put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.0: CMR10 003.002 %%Title: CMR10 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMR10. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMR10 known{/CMR10 findfont dup/UniqueID known{dup /UniqueID get 5000793 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMR10 def /FontBBox {-40 -250 1009 750 }readonly def /UniqueID 5000793 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMR10.) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 1 /Delta put dup 2 /Theta put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 19 /acute put dup 24 /cedilla put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 37 /percent put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 94 /circumflex put dup 96 /quoteleft put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 124 /emdash put dup 127 /dieresis put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMSY5 %!PS-AdobeFont-1.0: CMSY5 003.002 %%Title: CMSY5 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMSY5. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMSY5 known{/CMSY5 findfont dup/UniqueID known{dup /UniqueID get 5096646 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMSY5 def /FontBBox {21 -944 1448 791 }readonly def /UniqueID 5096646 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMSY5.) readonly def /FullName (CMSY5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 48 /prime put readonly def currentdict end currentfile eexec D9D66F633B846AB284BCF8B0411B772DE5CD06DFE1BE899059C588357426D7A0 7B684C079A47D271426064AD18CB9750D8A986D1D67C1B2AEEF8CE785CC19C81 DE96489F740045C5E342F02DA1C9F9F3C167651E646F1A67CF379789E311EF91 511D0F605B045B279357D6FC8537C233E7AEE6A4FDBE73E75A39EB206D20A6F6 1021961B748D419EBEEB028B592124E174CA595C108E12725B9875544955CFFD 028B698EF742BC8C19F979E35B8E99CADDDDC89CC6C59733F2A24BC3AF36AD86 1319147A4A219ECB92D0D9F6228B51A97C29547000FCC8A4D77D0DAC26A1FA54 D2471EE9BE33D2E87853491D634A3F05B7672519E09291AC2D08D95BFB80CABC FA89042E94FED8DC9929ECEFAF741D273687B2127F5B80ED7D16F146894841D5 1A80D8085E27114AC35CD5E578760D8982CF4D8587FD3385FE50E21A253A37E2 AB628DF3500FD2C21BCCBC8C0B6AD3AE21DE63AE6586DB06B3FB1966625EBF52 90FEBA873F819AB480FF994D80C01DE1E2F28C665E74FACFF98B2972CCCAD279 96F2EFF1113CDA922985E095249765989A4C6A92A76340DCFA07AFF34AC5E177 09B739A72D0D1EAE1A6164F3AA0DF1651EFED335B68C8465E1A61025235D4A5A C3661B9C0456C35C770242149B3B98A29784BF71030C7DBB2C13958E5CC263AE FEAEB9FBA84E06D772E94A494B60E32AB8FF862E57175DB17F6162DFFED60EF2 D46FB78237E778C7321ED79FAC137945A46B2D90B778DA46308899577BC7844E 3E09303AB2DD1F64D58756DAD62ADE22C62DE6C9BDA77CB12B1FCE3374CFA442 E0CABC7C9AE699CD955077A7268FA0FD3FF5EEDE605990F0DF0078799F5CED44 6ABDB2E7D9214BECB8B2CBCF328F7F5B8F346B55C9BA5C785A252DA59602B6DF 186D23D5D90556EB52D7C0B44E4A9A189C180FA213E12E9838F0B2902779E289 3E2B7DF45A01F36D88C9CB814AE5D41064030D37393DDD7D5974C1A27EBEC064 B0403898996140AB14E6EF1B48D555A1C4DE29AD0C5D284988B92917442D2C61 3B15E55CD91837B0496FEBB51486CEA7DFD9787AEB484BE887111903124340C0 EB034A75292E59CC038E75E1DDB0027407492EEF92D70E0303BD7B2703E131FE BA91B289003B7E5BF85D2E5E130CB37949AEE51EA57FD424402B0BEEDEDEB5C3 E23643F3100312F94C157C98939EA2312B11DE0A683D4018FFBA2864626C9449 0D656EB0C79246A7F5ACDF442A55C9188D8F3FA64A9B6BFACD8F81D7546E0CD4 3C5CC653CE9514306439AA2BD2FF2B965EA69A30331E8D65056D919476867463 97DAFADD16BF9366E95C7C4276093B639541F7AFC9AF745260685D84DD3095D4 1B925540372ABFB68CEF211D65756FE0E99733B5DB40D5A42016E8715208D4B0 7A120EEB34147BD179FAFA94D0880121D1C6B27F94965ECC1A93D1B73AC1B3B7 191B7B3CD4F2E0E52A3893255C4B3F1A70A0ED36DAD262538E02E8A227F6D6A1 8A047A91ED6409F1E0D9B40698C817918AA47B95A082E3394AC42DE93BF9CB28 68E63F3363FDCDB014E89990C50210750E8442D9555B0A796B243AB03190B2BD 57C39F233318B6474F1B3CCE31C21BEF68FF5E3F866789041910B1B11ACEB75F 146BB1A162AEFB268700C2DFBD9752BCF6F136ACAE815C0AA4147AA2CE61D282 1BA716B693E2F713D0653B17C9381DA86E1CFCDD1B1FB9A72ABDA1AB2BCAD30E A4EAB601BE3F8EB95B32DCF5DD114683AA64E14F9A958D16CC6DAC7DC3ED651D 603959B0265FD36F8DA41F3173A708D88C73EEA1533CE48C2AB26B4DB7CFA662 A8A463CC178C31D342EF907B3B44751859F2BD510F1CA93D61AD39E8E5D7785D D465C47F3EDFAC22DC2B5DD93B2F752EB5482E138A0A1E5CD62747E0F524E29C A56E58A6BA543CB3AE051F4D90891B65712B63DB197E60275EAF5975007D09B7 95F916615F97C50D8FDCFB67F1B677DC5139E6F46ABA079AC552F27F507CAE8E E5C04D31ECDD6CF5E8A447846375C1748651245EB9C780D87FFF162AEBCC9E0B 155B318CBF420DF0CFBAA5669C2DBC81B55B5042514B05B7B82FCC827E21462B BC8F8FA96E2CC4441E07E0901EA72495013400453E49B7D243FEF528E4078AB6 49277EE77C81B9167D2EE1961AE265A8C01F7562ECDC47D9FEC391097474EF8E 54A5A7FE6C98A81ED29D42A3D54326219F638C92AF8A087607CA2A2A80CB1183 8571CD40199FBDB9D70AD83979C739F533359FB2DF0AC4AE3A0E9DFE735ADE9D 6E29B3F6DB9A5B11418E9C860EFDBCB0E49BB900BBCC85860100F1FFA5AC07B5 14F37C5AE5E1A35168BC48BA7012A297C7771789302AF44765A6DBCFDD418172 62DF3A4785385CC9D055A9B4FFF373041D9F5E9DA83BC1C5F3265E49BA624B82 F15BC17B135D8723324865A9CCDD2EF3A0F64C17914F9B238C946FBCABD92B30 AF90191996ABF2E4972AA9D0EF7B64AD0126D07714D4059CE032905BDF877D7C 3440C374D7B5D0073E13ECDF3DEF2938EAC1908CC60D0E5EF5F52AE8A1B0BD34 8A454CDA66E7340783A7152CCD74EAAD4112C7D70F3C867E140988BB610CCA20 F1BF5E3DA8097509CAB419E01CA47D449C50EB8FC6DBB75AE2C5312BBCC5CA91 86B221536517CAA6870429B65069FE3CBF3FFFB5631B57597E5C0C3E39199FF6 4DC35B155A759CBFAA96409BAFC7EDFF03D2671F0396641446605843CA4AA36A 15070DE52DDBFF487C5398CF7604DE843F32CAB26A96F8A9DCD03F3DCAA57E47 6F0D36CDA34B96B7F4986275D79A1BC1954D2BC0BE1509709E40FF23B84F8D65 3DE1D1D8A2AD94AE3DE202D62993EC4BC5AF66CE512EFFE7CF39028BCEC1667D 8782111D9D503BFA45E4960E6197D8CB5697B1662BD2D991532074AF5491DDC3 2EC52B4E5AF9B2DAA5D5E4CB644BED25DACC3F445E4C7D58A1E9737F4EC04A79 238E3578311D88EE6D067725C580A146FF150871FAB2B366B5AFE5CE3B386EF2 EFB540348505A1749BB34586851FB2FEDA92ECC395B618911E1D00B427251B05 15B9E42AC1F0F239827B938EAB8CD20FF9705F4D7FB5F5F911CED9EE8FDABE8B 3C3442DC3B716C3686E1B0573EAE3905C3964ACB336FA3C38B17F229EA10F036 ADDE7FA5CFC01FAAD33F75A125F52AD395C7DBD3AB6F2321D7B5B55F0ED237CC 61FA8278FFF9956C64B8ACBE357D4603CC4599BFA198AEC01E4F4AE047754C16 E155C8FD09C996D9B5EECDB243FA48B0CED1F0882103729EAECDDB9523D6BC22 0AA1545814579043F0DDA2D7F015E56C399EA3C644A15BA6B144361449609C40 A4986E00918A7B44BB06E7090F73FFBE4EE3E051121939EAB0349EE84715DE36 FB187C50AFD74C44C25BE4B7037466CD60F211FFD7044245159505196B0E181C 0177F14D0B486CDFB767708C171FE513AAFA2B60665CA55B1E5F9E0304B63666 3BF44EC4F5B7DA58891081F78B37BE8453E86AF3557B97D8B4969CCDE2DFD255 91FB4D9CD41E5F931751BDF7FC8C700C633470064C0BB00FE5745918A69CE430 D86FE46DEC014C019C06621B2EC6C3F196A8A5E1E613AD8B28A9D0B981C11A29 4AD11CD3A46D089F8EF7D8298971A5F9F6F139CA794AB4BF0AAB2D4D428A8E4D B80EC134CC7CD74D3F08E7BC8AC5B1846E1E5DBFA97AE4DB885286C7D06B4CF8 948E889ED85E8703CB97D7AE19E1201EEA205157BEEFAA3E17B8BDDFD01BDB17 691010A662280C279942158F68BD351B235EA4EBE24D54C0055A19A3F230F353 77202A1D7BE371010624CB741D4BA2E690B33FE582D666E9788A3E3348A0E100 2843E0B2FDEE05DF75F4D49DFE2B69BE79E97DA1B3638289395444F1CF6CDAB5 5E6EEBB6F907807B913290C25D8AA546B121EA90DD113588011DBF01B7F88AA9 B9CA9731532478D3BA57786817C1D31D8C51C307D7F500F1B58C2CEC9594E5C4 E5E7239D90C8B5B4A81F95C048272A2C05EF0613463E4094E922F7326815EF3E 6E82D5A36840A76B1BB25185CD66B05FF2D140E0F22CFF73EB3F57732E935BA6 8C64BB6809E1B45089273527834789637621793414B6853A1C301612920E3F91 458D043CC1B6CDA271864FD4CCE585FDF025FAD217F975FC36FAF8B79A6551DE AC3863E25DE972E2A4AD997E77A2C05A1A14152BCFDEAF40072A0AD952A3944B AB12D66ED3C408DD104B8638D67417D2A95A87E226A03C28181047CF5BE58409 7D07D2529BF867BB61ACFD68F817BCA73815F787162614EB926563EE2F8629FA 6BEBC05465458A03C2A8673A3CFF7552855E082A7B5C2D4101A1B96449071485 279C1EC56610507DF786427B4E4D949BDC9127C2802451F3B21D60D5827E5B7D 0A683F4402725547EEBE27C38839876A3B1B7FE0D7107D6E2292631D1B9EFC79 87D05342972EEE2C413568BA971AF56A2D4D89C7C0D0120AD504D444655CFF3C 957D5EF19169401CAAA2C4C144FF87AC7DD3451A63CE796B8F6C600F913F55A5 A74B928AD676ED097740BDA578DA299F42CB7B7334BD2281E403129866031EEA 1219E7F9BBA230D049EEF401CEB412BF7FB58FB2F9B7D1E47F0D774956B803E2 872A7A5A38E5B7EC4A225C73522EFCE6E98E3EDA3BB402BC5BBBA209074BD2A8 C856290D01A092160E8FB0D9EF324776AD39D7016C63A500D0839E670009F4C0 20F033554B6B7CCAB7BF60494431E4F2755E4CD966ADC7A078D434FA59E5E49B 9903F4E722ED169CC3D0FADE874E3141CD47C69BAFA3183BEA4F37B388F4F48B 7D143D4B79CC5E701EEB350447D9600D39A7C03A25B5B8B6A5A7284A8DB4969C CDE2C99C39EC07BD8559A45CB5AF23B849C1826713828F43DF265068950DDADF 3B584B90748657609A89008187BDE4286F95694D01760260274A23A41FA66A78 773902ADDAD18F98F045FF7D20AD20EB685C145D44237EDA272619EA9AB71497 DC8BBE9EEED31EA77C9410FE650C65A6CA71F0E72E7D83BBCC0A59DCEDA6399D 64A8F4865811A637838445D84D97204CA7A918DD476471A598D7536276C0F0D1 F0A88D8BCCA56409342C1FF678CFF90FC7B287C36CE682E1B200B54B2CCB12DB D1DC9BB4E1CDE2B9B6BD4B80DC226E10FCF20A9E7878A16EDFF37FB874E4868B A9F1C452EAA7126E81763A2DE2B502132046322BE26140F04FEB0E7167920679 FE8618E1AC5C03360AD3D8B5E913E1CF0C1BE9E446DFB050C3978165838278DD 23D17DFDC85DC7B168F173D0945D110976084CB27B6F8AB2D22410DB05BD345D E4E38CC7EDCBAE36CCBAC590DA5C12D969D51B847A1460F4FAEE7D648818D26F 20FFE485D842C2088258F4F0B1FDCA46A7110645C25E3A31C4E6986C220985A5 DECCA30BAA3A4B5CE0152B8A9D68B1FD67F21050A87BDAE6B665036B9C73953A 11B16AA3285456220D09A03DCD8402C06A2BB18717B1AEA7594F748817176E12 87E685FE70E28C0382EAE8948A6E9FC2F46E2B70DAB208611DFD5A5D97D39CCA 8F9AD9A171DF53CAA6E3E5AE87257561BE15E3BB21779397A30AD4B22A1A1EBA 4B7235F59EEEC1FAB7294D521EC1E36723A4D7BA007DA4239C05F0E6DE546D5C 7A58CCD00F6AC96C20B7182CCCE3E5937D7A64F7CCD52A107BB8092D5F95A8A0 589B2DC542511DC89A0EEEF23E711C7444BDF95F64CF486F158CA162138A36DF 5400A5D03AE62A945373E95840F6D6C7BCCC4FE65382584A4DB36D23FBA6562E 1F3AFCDEF27AED61245EF880426B14B3DB5D9731039FB98F2F51094CD7D5EC78 1F8B03F07064CED40D139BD04C868B1E51A994731EDBA98E7D678A07F7AF6E56 92586848C58ABFEF378F5C1B4C3E20BA860BC7310B9AC48F2143B5495F9B3A35 85C9AD5AFEB23DF6376EE78BCCE054C8FAA925965E38EEA6F68CE1B5329D9DD4 DAB3F3342C6E6D9E0C70E63989DE8DD2D3C4C671233888ABF56C58F69D29A742 B5AF39EBF1092C2C4A906B872310DE0E83372B1C7F6E295D8DFFEFF960DC0F4D 83D7878BD8918B9BDFA17889D52AAF362B6162C07810672E23F66F8CF3BDBD6F 0E016C4FBC8CBAA796057A6B9BDE3233909694110279F81259A5E628FBDF6159 CA0CD6997EBD34C3038A02FA4B422A98AAF4297B998685D7080EAEBC22E27900 8B0178A75E5E52363A2E56507B3E44A6F9A9DD81886317A07B4823558D3690C9 8C722915FEFFED7F6CFF4E94DA744562835E29C97333CFE50D49A5EDB886F4D5 279DD9CD35C15656F9329CA06A0CE1BD5986784A910EC3DC7AB1A068C8ED4829 DDBC83091AAF21092234F614A6CA2C4A854B5049B5622BEBBA68AFC0AF9C6686 74555347CD055BB13B5CD7B5B6954A5794AFCFAF9AAA3682C7333564660E7C1A 8FB3DACF1ABACC3D68C26D07060C7D5B9AE9C9377A771C3BCD317F0ECE3CED11 C0438A29708D99A1F3C02E67AA1D7BB57AA7D8C64A2028349BDDD4BF6DB3139E C1BB6D7D906699484EE2A5D83296BEE09644B62EB10658E06E4176C1E5E7BC4F 36F3454F2DE69F0C5B51FD5874F67287294399923B19A40CBCA4B580BCDA347A 9AFB7AE64C8E9070D5586086E6F42EDB8C0E9729649CDAF7C0337BE5E670DB9B D5C038262B65603C1CB1BD00D4ECE2BDAE5B77A8A129DDD79DC7D080AA89B7D7 439A03568C2C826EF23C2ED7160B2F8F14C05F444E364DDE247748541CE7E265 1414B5A15E7152C6E9056B0CD43421D4AA5EBF1EC2CC70516F920F08B0CDC38C DF480EEAF04D7F12638C9CF8DC4F827DB07256F4432345FCDA86CFCB637D04D8 931A81D2DC47674AB435738871A65422D3FD46DFAE9049F27DF0DE33A0E3207F A6832153135BBE5A283CDFF46ABC74C78B3320EAB1E881E59E07C3134F3830B0 8216AAD3995D3F8F6CC988C73B2B7A5B79E81C6E8377FFBDAB29B4CB6317B118 84A437E14B0B213BE7ED610E9469405AB950965B2CFBD4CF0B3415BC9638771D C2D8265D4FF0018FCD3851E645A82C179FB4995A337C0A854999E0D91EE8C98A A9EB781A0DEAFAE1D666D2F5813BB2E79C232E5C96C686D414921DCF8EAD4C7D 06F79EF5078C77556346283940EAEE347B06F756A800FEB7656DC02597A674DB 6F8BAC8751BA046D7040B5BA0AC766522FF9657F71C7C89DC93E92000A00120F 301DE3ADB5D7D62B57E0824B9BBED388A5CF1B39B034AE2E44BE27CC0F5F0223 2A219166697692167403DC2083384A698551FBE48BEC89629820596FD569543E 75174901415C56DCBCA012694D671655AA84A8D8307B34066F1AC149C8B4BE3F 578F57A39B93DC454580C44B12D6D1BC653CCEACE809E5F3F7406B9F4A868D68 ED4C5C23D7B2497668D718621A94AF4938A16FDACFC6E3B216BB615324375050 24A7466E820435B11E93E91F673D609932BE884AA1CDB9D433A40D189A668498 A1B708DA358F56A1F2CE297C61D9AC19ABF79539914749E5DEE0FD0DC998F4D8 1A4CD93D0A06E68CC764308BCE69D4D53FB2F0AB742D7E9618321EE87EB1DEBF 14561A916C8D58B9C6AFE80D586F5FCAC3C6489038178E77B515108E48C7AF9A AC9C3F93598A28CD03864C6A65659E8E6C782F50ECFBE2C27678ABF0978877FF C685386DF9D9D8F51EB5AA618D2B3F63FC6A0D6107469DA479D540447D785235 2FBD6C4054C30D02DF3D2732031297F53AFC937F6CEEE01B2EF34D59FD0EBD21 854C5CAD32C59F6D8F843795472ABE1F73107C0F5A5B9274CFF2346E7627355D 5E7B3B3451C89DF5572F4E9BDCAF526425B34D71875B5109EE341F55C551DA50 31E2EC3BCB7A79CA3F737D3CC23200160C76E29B9A5740BCFA0355AFE7930076 1F621C801268E18B83A108068B8DB4ACF7079069AD73E37ACB779490900CB770 326BA14A6CB1E7FF537AB11F432809968CC441F418AD1A36075D948D487C55B3 C6FC12080681BC9685764E9348B28A29E6FA025EBE0C175AAA6CD60CE6E244F8 B975C570A5D4B964B9A39EBC6D3327272589C6F61D91A7197B050F17C83BA988 AA2C67FAC8D9E2AA0F906C839FAA8B50BBA0F69C642343D7FA1E55427D0A015D A9043C0A36BC4E02A6EAE35220C779D22FCA7F7DB374E0E3D066CCAE3C09162E 8A4FC6CD4741B38836CB599DF98A21D0C90AE79806808157F97F850FE90EC0DB 9F2D8036BFB4D379696E73B84B015B308EFB52EB7278A37676B96C607DC49759 734D8F1EBBF10A7E363AFFEAC9E499BF4794FA3293666AF2774FCABCE014DB9E 00021831DDAB3D794484C4A85B8F0097DEE9B526B4B344E16C267512E5FC9BBC 0AD4559EA5F6B15BB495A284664053525980E3F4A5260951C57BA8503D129CBE 58B1CACF6720EAAF7DEB7CB0D8252145CA0652F434C9F44193F87A6DEC10B069 7673C1CA15028A34D62CB118D966EEC9D5B0D1C9641ED9ED5231A1C316CE1DB5 502BA7A60B34AAF38A83E4045F3CC8D773667DA3CE22CBBB5C5BEFEF7E7ED2E7 393DBA35E409E8B4965B24A623E7F316FF27EF198E85BA6F0370498F168B361B 3597F26FE2ED8E0D1852566EF42F61D261A4E242EDB5795B31FBB0372F39D9A0 5193CD9E16B10B8799A53D3BBCD28CB92DA2AE8AE8B71CE96B65E5AC20B8975F 4AC6740C23957F1CDC88741428F75BFF9A320C5455F42F737640F3ADCD97ED48 6460346845C0DD5DCB5546D39F3067F77F812CB6EC1E8C0D876BD5BB0D7AA0BA D91BC52B551B378E03987FA331E346E59677D9F0B2A0205E 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark {restore}if %%EndFont %%BeginFont: CMR5 %!PS-AdobeFont-1.0: CMR5 003.002 %%Title: CMR5 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMR5. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMR5 known{/CMR5 findfont dup/UniqueID known{dup /UniqueID get 5000788 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMR5 def /FontBBox {-10 -250 1304 750 }readonly def /UniqueID 5000788 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMR5.) readonly def /FullName (CMR5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 103 /g put dup 108 /l put dup 111 /o put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMEX9 %!PS-AdobeFont-1.0: CMEX9 003.002 %%Title: CMEX9 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMEX9. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMEX9 known{/CMEX9 findfont dup/UniqueID known{dup /UniqueID get 5092765 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMEX9 def /FontBBox {-25 -2958 1495 772 }readonly def /UniqueID 5092765 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMEX9.) readonly def /FullName (CMEX9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 112 /radicalbig put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMMI5 %!PS-AdobeFont-1.0: CMMI5 003.002 %%Title: CMMI5 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMMI5. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMMI5 known{/CMMI5 findfont dup/UniqueID known{dup /UniqueID get 5087380 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMMI5 def /FontBBox {37 -250 1349 750 }readonly def /UniqueID 5087380 def /PaintType 0 def /FontInfo 10 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMMI5.) readonly def /FullName (CMMI5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /ascent 750 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 61 /slash put dup 79 /O put dup 84 /T put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put readonly def currentdict end currentfile eexec D9D66F633B846AB284BCF8B0411B772DE5CE3C05EF98F858322DCEA45E0874C5 45D25FE192539D9CDA4BAA46D9C431465E6ABF4E4271F89EDED7F37BE4B31FB4 7934F62D1F46E8671F6290D6FFF601D4937BF71C22D60FB800A15796421E3AA7 72C500501D8B10C0093F6467C553250F7C27B2C3D893772614A846374A85BC4E BEC0B0A89C4C161C3956ECE25274B962C854E535F418279FE26D8F83E38C5C89 974E9A224B3CBEF90A9277AF10E0C7CAC8DC11C41DC18B814A7682E5F0248674 11453BC81C443407AF41AF8A831A85A700CFC65E2181BCBFB9CDB3B91E19AA95 B6070999687CD39CE05B0501BC0F19F4FCE5E19BCAB1989C541A47F00C4947E1 FD7D566D95445A20A22834570ECFD7F17970BBB274C172956BD6458D36A306AA 51AA40FA84AB99AB3D1C47256A2DC605467A7F2C77963B2D31C2CD1971FF9627 23D5B9CE163D84AD3071314F555A564CC82CFB80B05E31708542DAC587837E6A 8708B83AA4527ED523623419123FB743F544A691FF62C172E6FC42F1EA9D96F2 023DE87858FDA38BF3FD9E2AAC5F05FEBD28A5DE1E97FB1B03F6D7BCF64ACBD5 20083E062A50A1B86CD28E5DA789361A19511275636562527DA0CB8A62C0CF8D 8A46EA3505E7C597428C86B3B05FFFCDA0492897AC6C6F689ECDF468F49463DC F193DE83E34D73E48D23ED37CC1BAC6D1CF6BFF1C6A0165B21B844326B418575 18E1D044C1864B27AF65AB4A031C767FB91D2CFAA1729386A7C1621D859572FC B604B35455D870D5A757DB7BF44D9D079F4F70FC669A96A0A1080F3297B6353C 6161E0E815C054EB6709752A8C104D177FDB4962B988270E9538E944E2FF6717 6389DBFE95B71E95EC57335EEF4F3E8E7B041690F54039D546937028BD0E8740 A9F8719E08AD387878420EBF7D8D1807B6A594E98E27BE8C6314BACE9CEC94C7 D57CB34AA7DFD06477D62C981D9D686255817A22E3F49DDD47B28FE7CEBCDA0B 30515EE8EC56542A3E3E68B990E5BE8FD65B953A0EEE2B066FEA586C75E4978F 0A0357C0C37397AA22B9EC8D9081B44C71CDE7991903DD5E071B87D081A57064 A143042086EEBF8640F36E61D8A0052C726C25F1B3CCCC6A58868E00C30D5CD2 034835FBF999CCCCE1CA0ADCE3A4EE4A36475FF6D00E1D7A8ED65CB0213FCC76 AB7DA81B9A97FEF3A51754A48C76E80198A2475DB6047623FCBF2CDC827229A5 C1DD7E79197C29CFF591EAE9547A1B21D381FA04D80E87F41C9A00A71B5424CC D7550DFE38CC7BF2B11B810FF09DDC48046BEAF8EDE7CBF8847DA0BD5FAC93DE 09EA6AE97B193E9A31F1174C337C72F4CE28CD59ACDE969712C57701EF3C48E1 38C650DA766470DBA252DD9FA657F7738D31A864E26A89C0618EB611B36B321D C48CD0F10C4157E210657C6CEA4BE0DA047F414C16F18B8A49E4E783164A83F5 E59040752152EC549ABC2F840ED955F90188E8F91E4F4533CB5F42478029B90D 76A996EB3D99BDF9E1B3019AFC030536449C04275DD78343702CC302461DDAE0 9CE2AAB36414A34066ED793CA7313767AA897AFFF6676E1AD5D4E3CB3C3A66B8 C5E91C170C41B7233D544D8EC3FB6E7E6EBF4E1CFBE49E3F00732256EB2495AA 9D206A20E902CFC57ECA3CD1DF324C834C75DE927C473650E4FFB299509557C5 9313ED07F343B6B4FD9F3DBDA9B3242756575AF54DEAA7C6DB9F1B9E1128989B 312A505411EE636BEBE0823610CFCC7D347185E09CC8A1A78CAF7F20C9668C91 0DAC60D889D17BFF3B7AD694F587ADCBD4E48F36DFA34FE98CB2E8A17929A683 0B66E005FAC311AAFA9814DC9CB2DE3059E0966106CFDDB18035EB255906F843 C8473B5E66E8FB4582FB72BDA4F4EE7A8F3A178F02EF1264C0692D7CBA2B1906 DC27331F86B6D88D3233FD74CA88D7041B4A2025A7024F467B64222ACAA24DBE 112C83886821994044EE5800F1F81F7F58ACEB07D15E22D38EBEA6F5C4F7896C BA2EC301F8FD150832966A0C46EB35ED3EFD0192351AFD1FB9C394454BB1FB79 2BB86FFF5B846F412C1D28C560C00B1FE876684EC864EA6F88E7B095CBAB2B26 29EB6928961BC58633B7D5A5746996C3DAA6FCBBD2D42D59C1273B786511AF00 B60B0E04C7365E4AAC4AC20288ABDBF0A704B6F7CA2D9FC65CE4AF36A5CC463F F97844B79F772F1E0C6F4A6DCD7AAEEF16A4ED9CAB55E692586C5C9DE8701A3B 111D15F99AD44A3F375E7C4A531020E9AD5CD77212BAF0F9516B7E865F5F5042 50524EE6502209FA562C94AEA4555F868C9FF68368EC6C2E52253E0C882132CD DDBB83AF15DF29B2DCF516A004DB97AA9487EC2CB1B772E8C84DB1B82841CE64 D4D10FDAB7E162E079FCBB9D4670AB4D2F9128E48183A3884EB8C74DEF7F0E70 A587A300CE834A739244A237936A78D31617E4F8D298EEF7A783BC573BF464E2 9FD1F0592DBA4400AC25327DEC2F28F8EE0CBD17F012E9E15FFA98CF1F1F9265 C2E4B8F3ACEC102196B4F9F973D747979E38DA36558D6CEFF3538CA7E1427352 CFCFA0DDE3C02A42FA39CEA5DEEEC5F3F7FE7C1B1AD98D51446772195F08FBBC D8CF46DFAF7D78A43B70F9B660406BC43FBD32374C022C3A58CB24CC43ADBD80 4E7AD6C418FE43DE31176B9128496C331085DBF6FA883042168C0FAFAA9DC403 7ABBACC2B18922C4458B49FCF241C0399E969937A2779184DEC8AD5AC3266E40 3E81D9B9AC5A06F9DE81785668B2CCB9BAA20F89120C9EB9A5F4CDADE6F67C61 C5E89C6014F4772FC208723146587687F8E14F4E63F2FC952D2F9143275F168D B51AE0A66333D957C9D5D7253A2362C30A0219219BCBC770D9FCBAF0F7F45FBF E85CAFD899BBC1EDDC416ACD9A7F83711BDEE28A683900E672453F4527F44816 1F284A4C488DE221333EC9249D1C70C3FA41F37924B813A3C54BE3206349D955 8FBC6AA9115F9061C9674958D40EA2426CBCA704E0AB35190F473C72086A2B2E DCD7E6C1CA9BD9D7C0C2879E414EA6C61923A60FDDB53957680DD30951CD3B0A 6B743B1E7952601F61D4413C3A7BDA4CC1C65DA9D453704A1333512560B2EF09 C2D6D34B5AD4AFECB4A07A7DE5122ECEAF0CACFCF48E78F440071570E3F171D9 96E2C6169DDC77A3B9A61D5188428B035F8128BA909C26B448B6C95FEB52707F AE0687C3987F75F1BF90A7F61D0C492C49457B59271BCE48F3FEE78E12D3271A F5A91389DF2ED566990BEA84AB699B3651B2E81975620CEB607E2882F7D29ED3 A4279439107AF9AEBEE47CE85DE5CE9595A96A118ACF1EB1E935E2251E0E7F1E D675E5D89D501C9CC98EB274B6B00B718D3EC50EFA7E170F2DEA2A2D2C8B5760 E85A1AD504660A93140BBAC19A48B456B3FA48E05776CE9DC05426520692922C 4AE3FBFBBBA2C4EA2B92663E8D316B9D5E733E0F2FA092F24AFC98B5D69063E9 8AC28D6EF97D3674C04176197050E49709D7558F7A32843A2278160DFAF9CEA3 9A0A8907B19379083365EF866E2272A9ED2B662614C57F81DDB145E9D460A572 C573296761CF028B0CC562B5C73B1933F0F78935DB0771D1780C698A874290CF 4F3D2D0C000B9A4077156A0B15F6FA23CF70586D3E341796ED8BD13BE5CE69DA D169579BE16C6BB5D74224F380490855229FA64A762AC6BBD0D06ECC13E57E56 FCE574D51744431CBC8A369698B3F9BE35B7C1BFC59FCF08C04E3554703230F1 2ED2DC4459A256FCA63A759407CFC0B4D8950852BD11D9D631DD0B1EA09178EC B5C85FE885F3E048355859AE345B73EA0C9FF89DDC31A7839C86CE36FB7C9C65 33257339FE7DE8F9826AAD599B41B8AF40F47BEA4399B65B7E114FAF14B9347E 4627B501AE9905A4EF4483551D8D5B5F291CCC25506E38A5DA92E127FECFAFBB F6BE02A63DC1B5090A11CE8700402A53B9DB788ABD4910DCB8F1D0C9FAD68668 0045C5EF2F0F5205F4A4CC2DCF43479DF053E2DCBAD3AD3EE779129E7CF4DE95 34D03F05FBC72CC02C5E1BF394AC39530D93C70739799B7E2FC84D99EF7E636B 900185158DA3427B30E7EBA29CE9657D3103060934EB58A514F6CC06CA0EF378 2447416AD37A066B63F2BBD53B06BAC2C915AD28CAD86AB1725BDCBC12D0368B 0F0DB1885ADA0B4214F59DFD86F15210763091E3E5E7925A39F7C58DEA801563 198D8146DCEEB18EDE7EFEBC5610208CDF7D42B23E15AA911BDE63C0EBB78D9A DA13B882064E1861DA9B4688A242559ABB1BA404A516A4C7357D18E4C7AC7D41 878E2D8682B032DCAC20FC72BC0D18F9783E9094F59D3A35A977CAE583B5E517 4E8A8C991E5311533BFD4FD0B9B7DC8F129705509D194DA9F18135E7B87DDADD D06929F6D65C8AB18895447C4E542CAC2FA8DA064681418E49807CE61DB77720 4D7538917F5D113CFABEB51A0E633DA5ADE4D3A09462D2E4C11125A31C3ABCB8 D2905C09E4E91D11B92F405696A4F1996282F44F34A19748121C0E86C3DB2CF9 30073205E35702C191BCC6005822AFAE9EB440CC7739C51D391807AA5FC768E3 928AE0860D52535397395FC31BAD93D8887146E6BAC26891DF852FC5E277C3CC 45A9784386BE5A1926AF84E7F3BF380A5ADF32D73CA695FF1B78215F2D2349D2 B1C3AEB04DB8B11A611682E7F4FEDF08716A801D84D47FCBB5FD4E9AF027635A 74E8C12F7AC159840DD60728DF43615BBCDF8EF80B1D761D34ACCD561F5AA2B3 15BC21A4856032E4F9005F93F7FB3CA7613C32E67D74796C5C819457378FD94B 89E45341CC2B774F16C035079A741B0D2D54B43FDCF69DBC30DE45BB3695AEB9 CDA1C7EDEDBDEAE0079C5FF03BC855E5F5235CDD99A915CFC78373A4604E8E66 3426FE7AD92B8FA0FB0CFCD773434B5C624CF3DA9F77315F0C58D42CE9180BB5 2D2B7DA554300CD38C592CE35966B1EA45638CF064AAB4CCDB2CF3ACE7A816B8 360F2F5D7EF9A36DFF363B87541744CF36ACA31F9B17872C96B8214740C7C0F0 0E251B4B3306C443487F71ED324B4896231B91F909CF28AEB3409DE1094E6483 E851326B4CE4E56DF03A929913926A8D4C52C7DF7A6F7EA62BD9343AAABE9BA5 403678ADBD2C125B5DAA08EC695F6448373355FF5B91A4FF16596A5D172BB3FF 7CF9AF0B6A744A2451C7399E969E6E5A9784B9195A497B43304111165973EE28 3EDA3949E5D891E1EA363F8A8EF4ACDC82CD14BB931480409A5EBEED54CF8284 55FD70C98822BD9A31523A3C6A6F26B0216C07B6D63D3CFFAD15A1B83BE55D9B 4008654433D80F11754E4B4B09FB22569164A8DE5669629E07ED1ECBFE365287 690C6F21274ED9DE2156D06AEA66A323450B29E4AA42CCC9C9261DD499FD33E4 A974570C690D2C0A1367A7487D57427C01203D2939E89A1F18A4ADE84313A2DA B12EE671E3B42F44F6B32E12F4F2E51479FA3420A3A13087D9BA76BB1756AFBE C4654792600D79BF52A32EC8E02587753351AE7F192D08B7EA9314FE4CEA31BD 8646E59F96765073ED1E3788C8DC7C0AA2892CA25E5641B338F5F207D37B2757 C7FE8E52649C38062566E420F8F0A6B83043F758DE906CF91413718028C9675F 5E0F7D09633361EE152116C675BC3A90D807D3A19B848DD34BE3BEF950287C7F 021E231262ED6A134208AE2FCB90B7436614D8BD33226D8D519F8F3F494ACBCE 32527307BA114CF02BC765387DF54BC1E231CE3F51D09F7A9178FE80A62D8371 533508ACF5C454CC72400B444D177A36B9A096489CA2761F1CF1F7C788A9F7BD 334A5C24AE6A648EDC740E36B28D6752EEDB64ACAD640CDD66CB98448C7CE7B9 8EA7CEF9E2A80EB270A22ECE1EAD0FA85EF5E0C83AF23F0B4E4669AB41A6B427 3928CA4421E216A4346FDCAE5D1349809C97D059A2CB6BEBED01CE0BA1754863 100D49634FB84A06CEE283104046A90396245601756BC39A63460C2660F54589 5A690DDE53BFEEEB398355E0FCBCFE9CFC664195CFE5BC9C4905700FB9FECB7C 6E644861E81E0C0581130D253D861801958F04A543EF20C99B52E246139B8D7F B7C78E1E658701FFDAE6ACD2A7E79FD434B1CE834DC7F98D16048A2964EBCEF4 BDACEA4E6FB6EAB3A270FDA758BE633995D1A39EE148ADF8A169173F877089E9 1A560D068ED72051FE7FE1D6C3BAC81EF265950598475B84AF1486CFC55D5903 3BE1479996B48A6E9ED904C66700DF63029ECD9BF1794BA67A7C0A005B00DF52 8A6A0374F4E65CEBC1CFDDFCE3EE53B57D78203D72A0FD5F9699277126B4A5E0 70B9CF50FB9A46D0685B563CDAA61EE9903F0079B22ECC56F0BDA3F1930FC6E4 637DF29BA68C83DE60EC2AAADF31CB46F337126706EEFFA0E8DDC29E5488C2C3 E89CE98157CF908EB04C55ADC7FE853E152E0D963915F5104834A9F73E0EFFF0 BA20972EDA0F691CBFFF3B0D379B0FC55B77E4891B7B8372F5F79662E610AC3A 7A02E99A18D5E87E519C45CB8CA3AFB38A74AC99214C1A182437C15F57963CA1 60709AE4D7A9527518FC6EB1ACB5220932C53F8C1A0DEA53B1716A105922A90F 10E116FDEBCB7491DA52872EA22B8280595120AF86B49759E5D61FF3B39D310A 68685F464915FD4B9A19F7F797BE424748C94F4636B2AA06C07C4A4CBC634CF3 04E5B400E7E4F0419B112DDFAA0C4758560F83D80A525C09B67B5906D65FAF7F 6E5D42E5D0AA0EAB4C189E34CD1AF532F27AFF45FB1B954B3DCBCF75EE60A9F5 018F023784C394FFB581FBCFF4DAD820EC8C64F08360B26A89657FD7F50AFDEE FE8179573A3CF350FB4D216AD4BBF496AD7A9191941040560854A5A22F2DD997 0B6DD21DD3EA8EB09C49CBEC6CDCEEB0BBB1B88271093BDE64DDA024D67F098D 6C1998506DDFF7907AF00E4A13A0E7C93046411CF6B38DB4AC2A8A0B67A027E7 96725D60A0A50B983A1541C18EC1999A99D7AEE5688407D62BAD5B13725AD3CD 0243D3EF4FDD9E409795D8022D4063BA844909C67ACF82AA9CED304D5F84A9BD 1EA3C7F5D2A7BF70766158BFA2BF63B3078593F3EEEDD0B6083B6858AB0E3925 8588CCB7BBA9438DBD430AD29F127063AF4B9F05EE48507ED3CA9D232187D3F3 ECF6B44F723CA243C91BFA6CBAC2D055A7DE56C0038114145FAA7D6D35070A07 5B65B916EBDF3A8A76849653DFAE3CAF9561D85CCEC1974DCDECC6592040CC64 5745DFBA8D9BADBD4EE85AE9662F32185133FF9A7E44D66410BDE8B1BB1873F5 DEC1D8341D039537358F7EC07365A462A58013C7072979A427CDC52AFFFCE7E5 4D922702976973206C0EE5806C33706C59C7361AD626D6CE7D73B3F566F01F27 AA275388FCE7FD284B031E6E262C2511B3FB2D6B93E53332C2ECF4BF165C03C3 1E16D2FD363B562B17AF600E4EFFAE42CACA979C6CBD4B624732090878288562 D28DA255FF658D7B2BF12E71C704E590188B62B57234540987FAAA373A4E6266 1D72C99948D78EE0BA5F56079E2B75EF5612495DB6ECBE036E13DCC1B79D14C9 5F085D1CBCF29D52C7CCB0AAE0CBC720E909CF719DE6804AB3A2164CC5D2621F DED2AD5EDC14F9CCECA26EFB9D9803197435588CB476680F7FAE7B8634DB18F3 061C5289F14D2E2136783C42F2AB2ED12973BC60AFBA29150C76C118E72CB788 E61E561574114577F8D14ABC37C23445297753EB71A3C330F984885006154BA3 E1A07EAA256B8E5F5EB5139762EB0F4A641B648B0D781DB48A55B5D15489BAE4 7835562F4B0158AA1C2FD39A76A40238DAC16668DEC357DA709888966E72E933 1F68EA16A3221BE420EBD5CD48F491BEAEFC0E9A77A1670363452518416CB3FF BAD590D0A3E461EAD5BEBE6EE7B2A42697CFFEB22C6BF46BBD3EA9155A30AA89 7FD1F319335E45B9E6977E4D6AE67993F7BD617356C8476B612AC5F8103603CE A940D6978F7FB59FF1123D8C3C49A4D94B1EBA8D4E5B67E7177754972FB08325 0C82B96F55FF0EC9BF7AB97EFE710E44DD0703345EC71B63A4288A69ED6EDE22 BCF5412CD96BC9190FF432669A8DD62EFDA8975940951468791FB4FC74A1DBA9 ADC234024300F1ACFD7036E2C5B7BF664E6175E9B3AF676603DD8C5F5B037022 B38CB7D8E5BE6AE2FE2C9B92279B960EA3D630838F6E008EF55CD5CA984E3974 776725AE1BB7E5593DC6B1B995E957EE45E70BB821363368D41EF321F1FD6691 EE3683B75A88D3BBB2778FD9FFF367226E73CA97A31F59584455FCA7617F2744 370D43F5E2B9EE537375003217387C6B3A697710F2DA0E90D6BF73075CFCE95D 433C28E3CEA99289DC204351D1D0E34900462652DEA232417FA03530BC737046 FCAC1D95A24B99D0C2547DFE4A186D38FCD0083FC6355CC19F74FBE385387B05 5863882D59AEC22EDC096BB4349E4BB6B8682DC2477EFB735B351F0B84B0738B 55992180D53CA3FE6F6393B8520D4D72630B75A2486D14982F4D4155E934F6A0 C80C8D5F41CE5B6D4CE27ECA5ECD30EC992105CF23953A34336F136246C9C347 CAD4933F48827D14AAC0DAE022C74B24C033F1925CD2C6D8D1E8CBE0D3257113 69CEDDA424A91D11E343E87334CDA80F83F1DAA659F2EB50317AF95B1FA88C37 0B13042F4E3E91BF6A657B34AF5AE0F844D5E6965646B51A2B29E27031BA1DB9 B4E51473F8971B38BF60597A9A3F9793FC494D4B2D3D2C4B5B3ECD3D1DD83DCE D5B0D144E128ABFA398328BA5476C26F560D13E52C87D8E401391AD5218F5F5A 79A7829F6B2DF22153FE7615B6A2270B8A4A7DA98CE43B904576BAFD5EDFB515 CBE023AD8CBE98267161CBC1ADD520053A3A23B4F810EAB89CA1DB322702FA62 A3B3D2315451FC5AC79AD0E463437FC79F081C41EF7C13A5ADA68F8DEB2DFBB6 CC6CD90944B622AA0864A2CDC80C653C209A32624AD0C0B81FAE78696F71DE82 FF8181D00C4535C0199E4B3C524209334C7287E2B26CD3658699CEF0F6E89CDD 2B5C571282226F82999814CFFAF4BF172D54C25771A4954D293B34E03207C460 A2EF6B663C21B38CA0E08F2979909FF9441A1A8126D32F0C5FE92464817DDADB 40BB10AE56305E00760FA6EC22C046AC5C4E4E8BFC4E29B8F26D903FEEEAA1C6 3EB0EF667743C28ECBAA3D7D6EE131140D854DE4F68466B2EF6A51FE91B22D28 815AF608A667A5A0D80A2EC66830C1B3B13FD57C40FCB033F070885158F0F301 79F8D214B5A56B98C0D2A247876A68E7BCAF766341BE3FE849A6E80E10AD8555 667FFD4444C0CA13680F3E1D96625FFBED3A87C26630003813ECAA079257C668 612F5108875A3CF3E79D5EA082B63D8BC6CF0CBF062D184216AB1F8ACC3D5732 5187CE8C297F4793AA2F791255E3E7E019283C13BF0BB153EB3216AD1048CA38 3AF347BC19E44464B5F80815BBF4B2451BA98EBD6AD5CB082DEBDEF70DBCF936 1301576C74469AE63B467D8077AE9D45E93E44F906E4781C268C114658FBB0D4 9C924FA15F593E0B2FEA765B68E59EA34FE6994AE68F982B9BD74B84C6F412B1 8348FE236DBDE95ECBABED6331D4E665A39D54AD0A493232A56C30B9FB4B6735 D38519CC83BE1CC25F497C7D237DEA02E5524AEF75BA5CC3D1685DFAFD1F8DF1 5EFB38C22CC42B74C2513813D2A33A080EDDE87D3B4BB637ADA8E195C4DBF82B 1299D6CF09FED05EC649421ACC2E147A6F892455200CF26785D4F496968303D6 A6AD7618A93DC445E8293F5BCD70C8C96D0B768F7BD65F35FB922DFD3E6C867B BFCF83BF707DDE68E812FCCA8730C1FC9B0D879EA49EB604551C7C18D1A0158E 777FFE40EA6BC915F9F44A56454E019A6B31B29E1B554C13F4F5AB979AEA598B 3A362C7FF4FFA182C8620C1BEE447F0BB76D5F3691D98F00EABE01854AF3B940 193F3DC830FD8881E22E0DA1F51E27C667CD0D097399435D06EB2FCFBD8780EA 44951C6B5E5C5CE8096146B9BE1F31C0A943601FC2B7A63CDF771A880A43DE9D D6621A651893FE69016FABCD99C975827806AB96F502AE8702FF5D452469038C BAA94A5B4D1266484A86942A63590C0060F9D468DEA93109170C519A134A5AB3 FDFB39EBD27A37FE95945479044B33FBE21A63B0A692E649B5FC9E4274A73B71 E86582CC17B5384326A0000DE1EF0916F6B88A82F3433AE036B8F0EA46F9DAE6 A689051FF585685AF98CA34D8A48627B38845BC29D3AC9C25A304689F992246D AE67D3E84395B8AC9C4CF8FBF148860141669F7E384657E9F827CF267B1516C0 C1193222E326895C71CD12B52C8078370401E0A6CA253C70F520563F9B9ACC1D 6B95F6F9E1D95E7EED18DFBBE14C2210CF23DE6B443D5AA27AE4BC491B811C97 7191D5BF52B8CB3C61FC990F1FA4F3C868F19090776E5B331EE72B5755DCAC4E 75E25F196CA58B3FD9F628290CA1FBE9A7DD99FC8C8B689542859FE25C914B3B 87A6674A87886301A6A51BBC4E96B6B1873BCA6CFBAC6BCA23CFF57C89305278 770C538481186087F8F0FC954BFDA8CEF492C871D45BE12D4FECF1B54AE8A4B7 0A87355824EE7268005161DC45703D31BB7E24B7A55F8490CED732 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark {restore}if %%EndFont %%BeginFont: CMSY6 %!PS-AdobeFont-1.0: CMSY6 003.002 %%Title: CMSY6 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMSY6. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMSY6 known{/CMSY6 findfont dup/UniqueID known{dup /UniqueID get 5096647 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMSY6 def /FontBBox {-4 -948 1329 786 }readonly def /UniqueID 5096647 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMSY6.) readonly def /FullName (CMSY6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 33 /arrowright put dup 49 /infinity put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMTI9 %!PS-AdobeFont-1.0: CMTI9 003.002 %%Title: CMTI9 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMTI9. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMTI9 known{/CMTI9 findfont dup/UniqueID known{dup /UniqueID get 5000827 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMTI9 def /FontBBox {-35 -250 1148 750 }readonly def /UniqueID 5000827 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMTI9.) readonly def /FullName (CMTI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 97 /a put dup 98 /b put dup 101 /e put dup 102 /f put dup 105 /i put dup 108 /l put dup 111 /o put dup 114 /r put dup 115 /s put dup 116 /t put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMMI6 %!PS-AdobeFont-1.0: CMMI6 003.002 %%Title: CMMI6 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMMI6. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMMI6 known{/CMMI6 findfont dup/UniqueID known{dup /UniqueID get 5087381 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMMI6 def /FontBBox {11 -250 1241 750 }readonly def /UniqueID 5087381 def /PaintType 0 def /FontInfo 10 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMMI6.) readonly def /FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /ascent 750 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 59 /comma put dup 76 /L put dup 109 /m put dup 110 /n put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.0: CMR6 003.002 %%Title: CMR6 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMR6. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMR6 known{/CMR6 findfont dup/UniqueID known{dup /UniqueID get 5000789 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMR6 def /FontBBox {-20 -250 1193 750 }readonly def /UniqueID 5000789 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMR6.) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 49 /one put dup 50 /two put dup 51 /three put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMSY9 %!PS-AdobeFont-1.0: CMSY9 003.002 %%Title: CMSY9 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMSY9. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMSY9 known{/CMSY9 findfont dup/UniqueID known{dup /UniqueID get 5096650 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMSY9 def /FontBBox {-29 -958 1146 777 }readonly def /UniqueID 5096650 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMSY9.) readonly def /FullName (CMSY9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 2 /multiply put dup 20 /lessequal put readonly def currentdict end currentfile eexec D9D66F633B846AB284BCF8B0411B772DE5CD06DFE1BE899059C588357426D7A0 7B684C079A47D271426064AD18CB9750D8A986D1D67C1B2AEEF8CE785CC19C81 DE96489F740045C5E342F02DA1C9F9F3C167651E646F1A67CF379789E311EF91 511D0F605B045B279357D6FC8537C233E7AEE6A4FDBE73E75A39EB206D20A6F6 1021961B748D419EBEEB028B592124E174CA595C108E12725B9875544955CFFD 028B698EF742BC8C19F979E35B8E99CADDDDC89CC6C59733F2A24BC3AF36AD86 1319147A4A219ECB92D0D9F6228B51A97C29547000FCC8A580F0834F28818EBF F29D3B2C7C9AFD969BA6D3B7429E222AF78F6DE00CE2C8008A5966422936DC5A DE549B458EB41026E123FE75E703E046F665B7DC78298A145548DEF8D579E008 39279A5208EAF898A357DF3FD9CE4450811F20B454D86B2947BEBB11EABFC62B 187B12458E022CDBAA6EDF4A89D79300F635D8CD973E35FA8D9B1240B3D30D72 4F30444BDF0B51ABA15A181A3196A6CDF9CD1D38D64C83E745A767446641991E 23EAE067609DC2E84B44D923CC98407812813D5AEF0EA21E560B31BD77D735BD E35EAA564A570DD3294C703E16BB9F251D54407269C8B23DEAD063018D6EB748 4204A415AAC8384025FA922E7074FA7B8A6C31FD3761E7B2737D4D9C9992B7B6 DBD0CFDBD87D42E1A451FC5C7EFAAEC65D10D278470DDF42DFABC836CF15D042 6900E0DCDD36E7153BA186B8358E74F91A1D43D62EB0B821C0E97FE63F1586D0 98F01E8F6B6F2A435343A25CDD80D3AEB42DC8E5AE02F8837B84EE5EB508B02B 6980D2349984FE1A0D3ED12355D556BA483CA078B7921FB336EDAFC22AE05C1C 5614F5025B890009272DA8C838B81913C872A54F7E932237FB1BC2CE5D64CD04 2D320C8E2E610E9EE36EAC7C28C833F8A14048E751B61D0CEB342CBAAB34D104 311B421B8CE4D903D2E2518BA8B734E2637E2CA55426C4A87EEBCE637F8D71F1 54626C52083262A5A9A3B49142948BC1AC0B7698811AE81FC3D3B1C14E6C274E CFD6C480514F3649D7725A0A14C82C9D537B1C5A9ADC816340B8B4E484AF55AA 905EA936A83FE2BE788D084469008F407447E0077417096333F163CE94CD3098 4B9712EE23120829AE2695EA63975492DB2615214B11C87ED0ADB776ED4BA0B1 40D09D1A617D4F57EE1A9B05C8D5F42AECB9C6AE67757DE6307B1A9C467123DA 773239976AB0EA052B23F263031ACABEC9EEC7A43ACD0DC2D7AD66664FB0D937 6A0F463A173E8B90B2596DD323D2350435D9D31B638112D70492F44769FC0C6B 40A291FE78AA598CAFC19E5AD195BE7264F0EC29305D36C7AB8F2A733797D75D 94C8F7AAFC49C13C108F514745A394F460294C6F3F44162BBFA878F773A5115F 062E934253B786DA2B9A6E8E843E06B97075BE99F21B330D6684998C5C340B72 09D69B655097354CB682D42120ABF5109E5522ABEC94D05E7211DACE8737A1A9 0BD3EC16F48798E67C7C85560D79366504BBFE5F7F5EC1B05B9F68F98149A02E E53F321C213456D802C01871E9024F965258F71215F40EA71057C15E349F06A3 A016BF1B7E44DC4766FC92EE500EBF7C47D36B1EA34981EE6FE38FF4903466A8 C9020B91CFC731642003AAEB145EC0F13D6281B0838BB4236C220F6F467F7DCB C79BB9CD5B6A180DD2ED7F94DA6B5CB833E62E898BE832DF601BFBC8148F9430 C8AC459F23EA2536E301C9DFD3FFBAF4D01E7853B60A69B5D012DCC0054C0BA2 1293D3B4EEDF7C5C78118138544A60FB1A500F72BA39E63EF5D97D68369850E6 9B6336DA577128DE68FEB71877360D97204B5F3C06E808BF95AA6D6013524BCC 85CBA9FD2CFEF383645E7E960E7AD471A6A3B8B8C3A0A0B8464836499309D82F 52004FCDB68997BAD9E4B5B881634FE1213283B6B19308BB67F2364F7ECD5534 467EF07CBE71989FFCBC6224417C0710EB3EF2676B9DE846E7FFB1AA6608EC9A 76C31724A19ABB2AD08CC102F5DE8E4E513F90A53F06D440A66B000CCAF6AD12 6F4B161B56FA5FAED65A24FA183B84F4B45407AA69624068EE0E3E47BBE973CA C72137823F1D676131C8CD5070092CD73FC2A93E0480310E21CFB14C031206AB 411694AFE7B639ACF35C28705A115E98BC69C66F6C58E9E79902453798D76267 29B780AFB6B895B34CBEA51530E8300569EE4D500527BA294282FED81F730A46 6ED19AA5AD45852739882216EE937FC45D75116BBDBA6FF4B4423B398E383CCD A7D705B8BA85076133E823300C3EFC9EB9399575F5F6BBF868265304B299AD77 B6B4EEA04C83E163E8CE2BFACA65F9DAAE3AD2B0F8DA1F986E6A12DDB2AFACD2 217E37B093F46FF3E20E587A9490401C2833F5844763FE2C528E151214E8CA95 018E1D8D47C9EB5FB4F0EA2A6D064680DEFD2C5489298F83B58EA7FA8CB019E0 671028C59C3E007DD86CD247889ECFA6AD6DA2433B02180DCE6ECF9E495D0976 D063A61B007233DED5E3F351D790F26D4011582735A69F37E7CCBB0AF254B925 B378522B748BD9BF152E2187DEA12BB168C42AD8D67D18567393B35DB2AD8403 5A7093EB59FC276525B8796FE81944F7F03349BB077110E182A61754ADECECD8 A5255DBADB523F3DC251A7D97F17DC76281CC632FAEB382A972D60A15FDDA57E 2F42AA338D889B47F6A3C1FADAFA8D11D63EF8D0C8C0FCE61FBD8AD34EB8DB3B 722BD86CE5B1268F704ACE82A39466DC2D96C9849B9422567FA5E728B17FAF61 59A77E9B3289DB807DF54D076139E3DFE176C3131FA4540C1542AE5AD6200FCD B92D5DAA77DD4D3022049B6EA2A037FE96E0CEBB1608C663F1373246FA74D70A BAE7BD37F3AC23E003204FA8270B4514DE1FDC5401B69CBC98A67A5CAB5505F2 87C242B6ECC86E88EEF44B9C79DA5F88CFADAE8B4CF437A7CBD5E0C01A9BC479 E92EA48C808820C567E74D62ED7597FCEC53DE9A0B3EBB9A3FB50AEACAB82BF9 2AA56D029357AAE016582592972ED01C0ADE565E87607F17BCF4983E3321F606 ED664B9516D404B277C2C1B0F873D469D64A9744D9C1897125FD471E71BE060B A3A617DC8D812E184664BD83EC74EEB5197611380F2D859E1A61A14404493D04 B5537C04541E557CB5039905F37E72B762EBD2321633E12C38C409338AD5AAD3 1A507BB2B8F5235F0614D0CEC2BE44CAD504C9B2CD3E45437A493A33B9BF8A1C 3FE66B1E673449A54E8E3C3470688E94EE4404C888583F7C96B43A592D586D25 8AC1F206EE5FBF3AFF7EDF9BA91EEC6BABD573D455E0AD6802E7E23A662D4F12 FDDA00EA054CD331DF86C099C4BE8AB4EAF5D8EC1BFEFCF50302BE61E6FF26D8 1E88C544570E8D6F7D875466C70AA91D6CCD4DF4BBA34FC67191D1692D3FB76A 66F114152956A5E38345E7495BEB1A389B7D0A59624ABA784F77C1BF7728E556 F9D97D71858D61624C22C6914A3A995BD75922A2C37EF2CA91F923A4561CD3D5 2DCEACD9C3A65A9FAFFFA4822E79D6D89D6366DA6362DB16FF061840582DA35D E4EE8308040C2DA5F298944EED470D6E4E1FF58DFDDA96C20C85E2DF2652E12B 2EFB8F890D301E8CE777678FA786E552A62A60DFC369AF4BDC069F5457FC86F5 1FB1A38A2222EEE86FE1AC9A8227663AE33217C1F381115CCD04D2F381A27E97 36D356DC64615AD63E1952B37AD4F967317D76A6DEF039CE8446AA634086BFB7 7B0B34F595B61ACEB346F51ED10ADDB7B852B5B2BCFE416D0435A7CAA4C9D9A6 152D9AD938F39E9756AC752F1604D884992BAD768C720C45479F5AD8E53A4832 1B44D6109DE4460A662DA6081465E2BE02ACBEB52259E046767DA24E1416FF44 D5AA1D303CC4249510D703CC6CD0FD7DDB078A91089FD86ACE1721F875F019B9 82D7C5B2530567F2306F47DE90EADDCD12AA1C693B1982827DC36A74C86474B7 0A8A2E084CA403AF654E2F8488806B943E38ABF544ECD45FECDC441DD970B180 FF3FFF1A50D5E22216B240A527F95DA1E43770A3867F225DD2A8AF01A965E06E A063997C4CDC0B16B52F9B9C8B0DBA94F88F26A7A01E596DCF8F33DA3DA5B02D 2ACF771F25A1372F521A80B93DB0337886FCAC0A2E8FAE0D7E1E0C31EB43AE3D B4C2020F322A9857A9EADFA7782CA70DE7421B9A83DE1873EED8D096701370B7 7EC33B9C104E9CC16DF8C80ED24D1F91677E355DF037621ABBB75E09ACDBEB82 30F1AFB82FAEC4D9E2DA93303F72C1078679EDDA35ABF2AB38DFF091AEB273CC 5A7B29C0164977160CA75F62BC20474C7C1F127AE7E4DE865FBCEF852698AB80 B61340CAB6F86017FEF570104E46B6FB3320E78D387CC58DF1C4FAD8570C0126 B6F54AB5BCD47904A9255366AC9C88576456D3CF605822269CC65979EC3CC740 AE3D09257BA3AC7A364A7F5EECA3E658AA20B53423553C416D98FD8100D80A30 A1B19F029B7473070D7C60CDE51BBEEFD2B45B1C82F4FE32A5BB6BB5BC32BBB8 F600ABE893B83B806A5435AE2B40E5CEA9068C6ABBCE73C9B3533520439F28F5 E171DB1DD90B2EC04A1F36767B2B97D4EC0FBF217D4E80ADA5383BADCD7E066F 5F4B23738A14F19AC7D765119AAC9AB6CD0A8AD4EAF8955CB9F5BDB0156CACFF 236D24E8A12AEBA549FAA9D7053D10AB7094B5D9B86FC7375E245EA8D7FC64B9 859A1A37C006E0449AA8DB8B89730348C71C7E014A2EF8D871AAA856407C33C9 392720173DA60850938D0537564455C3957631AC8F8C0B3B29BF6163828796E6 0944C3000B990715188203B32BC4E3FCDF173A4A9C78753AB7D76BB9A4C2DA4E 3EC638753D6FF6356EBB07D0A9E8D3F50EA5451FB6C836B9E5EBB8F1331C8CA0 B0CD271AF316502CBE87F652B5ACCD43176AAA32C6530C69E77E3C85DA496F3C 06980ACA739DECB5D986622AD81F204579218660EA791774C2D11878DE23F858 BBC4ABC7EBA01B7FEBB32BC914FEA8E5720731FD43F8A5CC53954D13455827EE 9C7BADAE8322E77EE7413D6C86E6D378FF8044F50F529E765A1CAC29E8B1D91E CD40F70F2D4890E0FD04502933212D5AB176DB143831958605C1667B8841E770 CB4D513DF0C3182C23CA653A7A714B2A8DE29D6B203F5A9481E0CF3FF073FC6F 476B0B205136DA43650A940035A970584DD7D06B7CDA8E960186158B75FE3917 9B1D0FFE45EE1606C875DF635B80F5A9E5B67A6ED748F52A53A710A45AC20BCF FC96755E685A3B0712D5E09D860986C61C631A8D2A505C57D57C1D4AE78C552C DC5C9EE15B82A4C3020331B78FDEFDE53974C391F375E8118EB7B2D23DFA3F15 389043EB6F33842C82B896073760197B13D3DAC172D77779DF517AE31BAC43BF 5BD6F75B59AAA59C7EB81B776FADB720282DC06BBC9C33AF5AC0BC59F6A0044E 3898A4B5868EF32BC4F980DD863E8EDF6DE3E753A7B3E39F8E8BCB3D3BF14EDE 3395E73BD07440FCE88FB28A96878E823C1E5519650F2054EC2CF733EB8AEB0D 510E5659A3179C3FA8E31EED621BE0EA648D76C370C3CBD8043BE206F28699D7 5871DA483AA5D3580CD55902C85DB9EF5CF5D3191738FE64DB42410F5AB8ACFC CE07E524BECA5633B082F4793002A4A7215AD1BA31159A30D72AC60EDD0B2BAF 73C9934C85C5372B47BCD3ECEE463CADC05CE8352EC1399ABE2465AA53E5965E 79400336B1F5D1401EE2DA5807F9701D1086DE505F6AD4E64DD4F3E5E90CD64D FDD25E6FA03B679597CFB8C5C1F03641CEB7B9B40787E70BC6B063621382E3D5 1287365426E44A2EA208C26155CDF782F404CA7B3C6D379103EF4A51CA3F1343 22B04A0B55CE5A7633175838B9E50480E9B80446CD3B541362E7A10BB3C58A42 88C0FF580B4A0296073F5B6505E4FCCA5D4BA2F7E8D59BB04EC9ED4E664BC2BB 8754777594DB26DA0985663D321CCD13FB261BE8A771470DDDA783493E452A87 D0AD01AFF8EDCB7BB159F1408FBCC52F126C46234CE6BEF241B49472102598D6 91FF2DCBA2CD0E6658A61DB3591EA02E4DF202954B655C5A3C34B14CB60CF9C9 2A6683AB282DFD79B33FF3A6AA524582F174F11A5568159083496B242ACD2770 0ACE8473D363AC11250E5DCDCD3CB2281B71FCEB8AAC1367D0714796AF3BF01E 80BD4B05A0A45E6CFA6C672850B9DF113F5EB15923ED885A0E4488D4914B62A2 FAFB6A63F8AF0CF0DA498E1BA68C4150B6E59CBA80BD17026FA09920006D2075 BC6F1010D0A10648A20D8ABF8137BFCD6A5DB3606F6B3CA51E8A4645D32E5966 6DFF7537F65DA4268A86BCA5791C21F5FA9F4C2F1F6C1AFC4D4BADFA63609C4F 5F5158608E6FFD9C5BF00646C3AAB983DDA5E37A9C2EA81796B161A06201FB6F 8EACE87008EE7A008BFBA69AAC04D73A8C0447FADA0249D8861ED405537E23E7 BE68C4349FD64A14E3A53D6C6484E704BE4AD5FA0269F56D3B752A070D9872FD A5CEE543B413F13CC4CFABCE885BA4533EA0969FDADC14DE6846B330552CFD60 A75BC8C9DDA76102E48DB6B81975A1F3FBE182CEF410841CC6164AFA0CE51FD6 8E8E6F0971277052E21126909B5EE51508306B886E945C11DFFE1C91BD0D79E4 554CC7D6A774C9B98610A1E49C3326D62F157CA9D89B56699F32DBB9D49C716D CBDEC052133F8E18E8F3D7A59008398AF3E4E1192CFFE4D0B7D2ECC8DE2ABC1D 4DF7F2EA5EC0DD756CB2FF9F95FF10E506463D3037BABD221C08506FA603DE1C DC45A5998921C4023E501DBA494C1F41C0955A761AC3D5B13A88EC4F0BF40756 BAE8645EA76027B8AF74726521DC129B9AED4BAE67A511EA56EE9D0D8D30C7F6 FA8BB890375A263A0BC4E9CBBBB8F8F8613A43B10E964F8CBD6BAA2B0BAA70C4 4CFAF6EBF4882B610AE13689823D37B046FD26DA85BD96B896CBDAB6662573D0 2CB87D45A86A016146513441BF7A748F1E9C2AC7172460EA628BFB22F9797905 F6DF6749F13C7F234A2CE4829D41E0F53EF3C5F52165297AAC4B5AF4747A9F53 60370B4C0110DBB42C25308F489A856B6664371FC2126BAF4710790021255653 CACDE1B9ED6AF5C696C3D8BEA4698DD9045B3004A5C4C03EA994A5445C9D4EB9 865266850047E28F2D82A08617E9283FE637CFAE4F7F261CC2D616A8C746EF23 7360553A6B434201944C04B1522533C61F615A20BA3678AF8D4BAD1FB548D82C 72D41699FB96EF40ABBABDEE633F05B4445BFC4E6E661DCBC8EC473BD2BBAF7F 75F7FC86CC7B1F3A2343EDEDF6B5F7E98A0BC4443E21611F4D807FE7F597A37A A4DAF8A8E6D04FEFB320E0E25C61E156A72A3E4A69EDA04B0E3B72B69FC19E63 AA33A682663A8F37F4FFC1533CCA2A80DAA675DD723A7E13D9DAE3BB0F5F3E07 99BAB9B9BCFB29B73FC76EFA02F4F632690651DAAEC2B3688B636F0FCB156047 F8EF7239716BE5D3DB2FD1DAEEC11DC2D65CFBEDC1C950CA737A04FCCCA509C4 7E47664E160322366F70CCC641B9B49192AB839E0AC609AB2FDD3783095293C3 11C56740FB50D23AE9FEAF66DB13F35367B562F15161AA270EE44713881B2387 7889FD10198AD4D750390811714DAE7A8DC6F5770224E93408F8CCD4F8712A9B 3C583C983D98CCA7FF9DDDEF8AFA292781B1D7089336CA631413EA0728353E8B 3650EDED7ABB6E5DB5B85014A3A9C4C76EBB664A5B3E0F3CB2ECFBB6294F5C4F 69EA3AC8C071B122B129A28E04FE989DA9670EB6246806A516517DDBC52DC001 4C027D51EF1F98506F21E63D57FEF267B913F1ED4770D892239222F3A9035C35 FFA38D1AF3ED9A8C02235D7422695D30A2F801389DADF34CDC489EEB38089B6B 026D884EE1C24FE5785C383B988FFFEB5459A1644CA44D353503AE117E87F956 393DEF6C47D4E1C5B1A33835C9B8E1B98809DFEE43C4D6DBEF1C2B1ADE4B8F13 3B5D224C25927433D5738B0FE019CB88B1F373E4AC2BDB5BD86887FCFC55D65B 467B57C65B8040D2A098AB773CD92E7209B2CCDFC5C794347FCEBD668B69D6CA 3DF8BC572DD635CA720B6FF85C88DEB19A25ADF9EA03487D125544B2F519FB38 55614947308A8A510FF245BE47E1F593095639E91B97483486C2A0775CE1A080 9D5C2979D409E4D68BB6DFCA0130C086846BA1B1B2BFE36AF9E311D31CB4D124 C5AA3DE9B5E2972A4DA72A6BCFEC4E47AFC480BE37CA7D4588DB4957DD1E286D 45676C9FCC9C894CFD8D21F45A072A6D5CF9F29154154A7FDD41ACAE124DA8A4 942074E5E6B2DE3B1299F0A1E6B43480FB520E08468693268E4DF9E0CCAE59FC 2A788EDB101F05D6C63C6B1A85CD6A38288D1C1A551889A3D80A0C931C81895D AD7D74B8182DB648FC01DE11C0F21F60C1A85E43C6E5A4F99F0133D4148F48AB F20439F9996801A12BE2CCC2232674924EF1EE2D6FBAD5F9FD38236F49B39B30 E8B70A96584216607216B9FF63B820EB1CD748FF4094C7189F5693B4A3B1F394 65498576165163018356A9CBE39701486E3BAFFA979425B76657F1A2A0214F06 63D47324B47C81CE0D98FF7248E897E15B090EF41CF1EE612C11F476A412E7CF 740BE6D85F8F6F7AE8F1E8D005BC47384EAA5288B0E52C23C0C542C9A888B4D5 E345D1EB8F9352E54150E7D123983CF88848480E32A56E5AE13131502A767073 80F1E3D6E34408B6BD79A6932AA2E0B9148D10B6F5B00445CE40F65FDD737A96 207C099C2980DF664E529D806C005025600ED08292559D8C0DB32502FAC04367 760F66E861DB67E12F9B3881FAABFEDCB0A6CE7A6C5832083042CA7AB0E752F3 3B21A576C09617B1CEE6A25E5BD217C2DF794602938BCEB265BF8711E3EDC859 07B4A012B7501421BE3215856DC79E852F904E7C6D98EDDC679FBAA9339DC61E 2792970875806D48AF3222C6264FA7B471FDDF55B9942A590A5FB8788670E4F6 63862F78EA99A16F36821414B2251E6D0358845424AFAE2D2797F603FF3C8034 9EAA3A22C0436D354E0ABF8EEA34F54B1A70147C51D4B3E2AB5A93ED42EEE935 B35CF0E2144BFBE9834998EC66214E8D7EC2639A78CB451ED4FA16656E9F13B8 E47F1E6B759E17CA2BF9C025 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark {restore}if %%EndFont %%BeginFont: CMMI9 %!PS-AdobeFont-1.0: CMMI9 003.002 %%Title: CMMI9 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMMI9. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMMI9 known{/CMMI9 findfont dup/UniqueID known{dup /UniqueID get 5087384 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMMI9 def /FontBBox {-29 -250 1075 750 }readonly def /UniqueID 5087384 def /PaintType 0 def /FontInfo 10 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMMI9.) readonly def /FullName (CMMI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /ascent 750 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 21 /lambda put dup 58 /period put dup 59 /comma put dup 60 /less put dup 76 /L put dup 79 /O put dup 109 /m put dup 110 /n put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMR9 %!PS-AdobeFont-1.0: CMR9 003.002 %%Title: CMR9 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMR9. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMR9 known{/CMR9 findfont dup/UniqueID known{dup /UniqueID get 5000792 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMR9 def /FontBBox {-39 -250 1036 750 }readonly def /UniqueID 5000792 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMR9.) readonly def /FullName (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 61 /equal put dup 65 /A put dup 66 /B put dup 70 /F put dup 71 /G put dup 84 /T put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMBX9 %!PS-AdobeFont-1.0: CMBX9 003.002 %%Title: CMBX9 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMBX9. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMBX9 known{/CMBX9 findfont dup/UniqueID known{dup /UniqueID get 5000767 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMBX9 def /FontBBox {-58 -250 1195 750 }readonly def /UniqueID 5000767 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMBX9.) readonly def /FullName (CMBX9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 97 /a put dup 98 /b put dup 99 /c put dup 114 /r put dup 115 /s put dup 116 /t put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.0: CMR12 003.002 %%Title: CMR12 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMR12. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMR12 known{/CMR12 findfont dup/UniqueID known{dup /UniqueID get 5000794 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMR12 def /FontBBox {-34 -251 988 750 }readonly def /UniqueID 5000794 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMR12.) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 44 /comma put dup 48 /zero put dup 49 /one put dup 50 /two put dup 53 /five put dup 54 /six put dup 70 /F put dup 71 /G put dup 74 /J put dup 77 /M put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 101 /e put dup 104 /h put dup 107 /k put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 117 /u put dup 121 /y put dup 127 /dieresis put readonly def currentdict end currentfile eexec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cleartomark {restore}if %%EndFont %%BeginFont: CMR17 %!PS-AdobeFont-1.0: CMR17 003.002 %%Title: CMR17 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: ( ), with Reserved Font Name CMR17. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMR17 known{/CMR17 findfont dup/UniqueID known{dup /UniqueID get 5000795 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMR17 def /FontBBox {-33 -250 945 749 }readonly def /UniqueID 5000795 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050 \051, with Reserved Font Name CMR17.) readonly def /FullName (CMR17) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 67 /C put dup 71 /G put dup 97 /a put dup 98 /b put dup 99 /c put dup 102 /f put dup 105 /i put dup 109 /m put dup 110 /n put dup 111 /o put dup 114 /r put dup 115 /s put dup 116 /t put readonly def currentdict end currentfile eexec D9D66F633B846AB284BCF8B0411B772DE5CE3DD325E55798292D7BD972BD75FA 0E079529AF9C82DF72F64195C9C210DCE34528F540DA1FFD7BEBB9B40787BA93 51BBFB7CFC5F9152D1E5BB0AD8D016C6CFA4EB41B3C51D091C2D5440E67CFD71 7C56816B03B901BF4A25A07175380E50A213F877C44778B3C5AADBCC86D6E551 E6AF364B0BFCAAD22D8D558C5C81A7D425A1629DD5182206742D1D082A12F078 0FD4F5F6D3129FCFFF1F4A912B0A7DEC8D33A57B5AE0328EF9D57ADDAC543273 C01924195A181D03F5054A93B71E5065F8D92FE23794D2DB9D6295729076BD8E CBC0F4C1BE246922D2482233846A96D867B66D9CF25A1DB661141D36B8506E61 A022F9EF8BC1F2F674EDF1533E67A78CA29A612AA9268E113C5EB84DA56CEDFC D7A111403E6E2A8682DB04368889747E003A124395ECF0C7FC81218552EE7C6F 60BCFB4120893528670D0E8A4117EA5676915E3591AE5652D003EEF67818A41A 8882E102AEEEBECBD15DCF632ED246A6A58B6A7780DB6F1F9AE3FDAC8344585D E104F2BA2DF06D68945889A2A3B6C262FB53FC670BC5EB7C56887FBFB7AA7026 84115872CFB0652C6BB330447AFF8F0F665EFD6A41D6DB6877B08052F402448F CB21C26BDC900636C99CA347B79AA73AFCDE9762A992CA3DDF7279E5C50F453F 52098529850AFB1F501A442D6A02E0A2896F81C8AC735AF1E7EE47208B4CC944 649DF6802EEE813F1456205C6126D7D0B1821AB62DD65468F3A30575E491623E 0054E2E680E4402E1C8C538DA389B81603BE88D6DC287A076F92B224CD58A0AC 44B8D490197341808DEF243660971F444A560C747BC6F52707ED42A99736ECCF EBCB694A561C3A70A319D204CD40D402FBF937A00BBCBE85DD26C9E3F91B7D10 D85B9D314BC3AAD5A58B107F5F341BE2C53490924142566417D6BE03BB4977FA 6635EA58DEB9508E40B9FFAC75FF44C683680CF242FE210519C9BF92483B0A54 83F48341318BE16D2F8C988FE3DB2E7914581F579D5E323148A31E4ED03BC24B C990372DF5F3B0C5FA32EB2CA4FA0EA33316569133C87697BAA2292E685C26CC F8CD40A2366E60B47D47CC9D0FA29D2836011376A07F78BA7664DE96E775CF45 9BC91559A063073A4C2FAAD0893C517C5C46A1425D07EDCC2B57162E3A45103E FF26A2D2F98B194256A4B052AAFCC08965A50EECD7B9E8F35AFDF7B6568B3983 8030655E7C2BEC961A2F20539D617626E8454E3FE9EBD3EFCEF7F63498441DAE 16CB509BF239FBBE25EFEF07A3E16C9C71EB8D9DCB8403916FB40FD7F4E1A52F 72F2DFF94FD14D7D49FE775390C17C37C1BA0CAF35CF75D682B7833A83224158 D54CE962CFBAFB1B2CA50B60CBEB1F8F58DDB2F5470C355ED9632342D9382AE4 5D33BCA3A0A25EE9E5B39BE5370E7F20684C664EDB48E7973FEDAD9676F9EE8F 701CD4D8CC9B9EBC06E8C86EB88AD56E15CEBB8E1930E8F711CB6E01D5D14967 D7E6C1BDDDE2C4D00384EF4CB02877DECC27AD53FC981338977BA0CC0257CF7D B42E9BC91AF45D9722461EC3CD9DEAA8011FB855FE14B74BE0A102008EACA2B6 0E287BB4F466FBFDD6E65A5262B9322F95E20DAB875A10A84572D982E6FC7ACA 23C0C37E5EB47B8E69C07507B53CDD98CD1B6445E1699CF35B3DA3E0DC56BB76 F997C40E2ECE47DBDDB707EB527055960113F2DABC87FD9EC7D0AB36B400CE33 0D54D4F197B2830B43DF0AA802DFB2BF747A4C44B31FB708B2C8BBE1955A6A28 379C91AA4CC065A50098AEC0B837E180B76801865A43C74859DF18FE1DA1483B C17843BF1C7E1B11A8C6D8BB8CDB1D552FE6A1FD0A696A8F7405F2320F8621EA 17C1A32056C45A9ED35D2BD12D02D8B26489CAAEBF4EF33B66FF4BD9B46E4823 6395831A8F3366EEA0D0EA88D612DEBF63DA7FAA24DA979ACC1A52544BCAA007 6C39946BEA6076ACF45722B2B8E4D0823EA2D12B14A98367BB0433A21FBD9F94 18DF298C56F67ABC9DB1868D431A854DBEDF8E1F49E359A545C75A7AA1FA4D5A 50F1EE6B45FC68ABF65FFF257964E4E50D8B0C1FAF498DFC554073697C2F219D 4A68DA9E873B270B9C56F0DDBC9927ADAF9203FD684DE615F68C24ACFFB44690 89C0D5322049FA69E7FD00EFC9C9B2BD177B5B339907F81C31496662847BEC1E 56B5DCDF4FE618970F4268F475B2EF7E0F28CC986DDF098E59DDAD818649CC35 4080C0867A884B8177A6880F06F1E5CC130AB4243EF8DD8032FCF390765BAB1C 1F0C9728EEE261A09F8C1D7ABC7A6B1550551BE2A7D19D45B656650DB00B3A5E B3E1186043E173BB4DD5EFFB379654F88146382AE3F7196F099BDCD6D245FB6B AA2FA9B6CFBC9F0CD52798DDF2F13874BDE5B124DFFE0DD93E24C9DAEAE4C3BB 71A9A13AE2860F620B4EC789F95221015D9C510CB4AC775EF69DB9E32E59C896 1AF82C9F0DCDB4812A37761859A3D3BA0CA57F244489C78065346FFA78F5F7C8 0B2E8CBA9EE62FF5C27369D0BCD52857D40F1FB8F8A1441B83565A4150AB1945 0B54D6E49F66389E43096269EF5CDD39526A288C0CB81E324E75D326EC9A182F 2CD966368CE300B41873B08E17C3E6BB51804460D2562AF5A12339966F44CD09 114C6809AF246B5BA6937631842CB9417781A58944B6BA4FCF961465C208957C 81A662D560D0F81BD3CB53C06B6D979F04F6121CCFD5D52702CBF6C70C01EDBF 2040AAB9CB144321E68C4010E0E98CCA2603EB55DD62E881DB621C37EA4108D1 528ECC7A0121B57C6BB1E26F8AE7161ABA7E88256D2D6A8B7CDE2E730D137493 3FF628EF6030DD2330D747FABBA03B44CF600418C245C388F33EC5559E7313BC 4B530C4FC12530D38B27D6408548F25FC084DD0523B27D29D6518D3115AE7755 37162CFD4CF528214466FE525B13782F9C3CD78F3D6C7423E63A134C0A371F15 10F4ECE1D482C647B563D3D15586F80BD9DF7381BD53927825D5AEAF762E1CDC 3BD184F345029A95B3AD4D1B66E79AB4F0809418C0CFD4D503457A190D02F134 3F57FC04FF655AEEB783D6791E4EC300755861837D3D50649F6B7F60766211B3 8148F8E575E28D6C2DE75B15E722ABFC6DAADAE53D89FD295352781DCC2CFF6D 982F6DB778D6FCBF1B7BDCB53F3A23AE6EB499BBFA96E8BE04C3C8E5B660EF24 01EB842DAEBE979F2C2DB72AAB4D21627063B1D3C6CD40944E4CB81655698FBA A343766CB22E392E5DAE01DB33A00918D6DAA07F2F38B336A3C5DF3708865E75 0DE04D3AFBCA27A249E97377D5785B4E28EE0E93F7D353619C200DB967372ED2 153BF8BE945474266EB2FD30F80042A11B7E3586DE4AB1FBD4A741D36DE583E9 1CA25DA345520AA60634EC819E7EB493CDB128BBADEC3890F055455F060A1100 D5A41D7B180027E08AD6EE7E393DB9F83799544404FE397F557773BE6A130541 157C0EB37E036C94825B5090EF85F8B4E3DB72895D86687758C20EDEBD6D1079 196E9949DC6ED0113571C70B150B37E446E319EC54D44CC0CF6A14760953DF4A D0E1F33A54D240E236AB63B35BA8E071D77776BE5B9312245F2C6E4FDB4312A0 0D9CF723E7D9A3D8546C4739C00C301A89ABA60A02757AB1A0AC40B24CE6CF12 5850485B11E16646D7150795EABAEB08364A53161111F46A7BC3423A0D3BEB69 BF15726C1F8363914945DEEB29CB8766328318AF3B344FD6D77BBB92BD7FD161 93356493D4D8252AD125708D47C124E44232FB2BF7DD75F87889496DCDB75D03 F58A57D4122CFC194B75A9E9C4789C9A33C0435FB4ADA16AD4A6191928D1663D 05FB8152C0AA176FBA4755205F8A66713404787070757D3721ED6E6D55A59DF0 C92BA8F05EC7BE05D0A2E66DE85E75373483EA3BBEE0F0DFC7E2FA5FBAFAB118 058D095AA71FDFC8AF37E5A98406B64E58BF476C6926725D7EF3C2346CE3F662 1E5A4A18D966479A37070859014719456EA2C7F23E68E1AB2F25ED3A0C00A18C DD403506923BC983F89CCA125780DC76A411472E38173BC0DD4CDA7B43E13419 B5AB0B9A35E77C58BBA12AA4F5C7EBF8A29996B059E4FAE6809565570442AEE5 D56CBF4407E1CD9A4398B1F3ADFF023F64B230E3D29F526B62D964F5C8DF801F E94295AD85BD9E1C18E6327977260A871E921C0745CA06A263E335E344686E7D D6FE3ADB4EE0A7E462F3C00873C3E95D183CCEC71C0E5DC1D2FB310B28FC3611 67C23DE336C374F72368F4973052B48E39969305791C986E6EE35D0350571860 3A8ED849712CF21AEF444BA390644E8646CCA16559BA4642A5800827A0DDC453 7CA0818BC47DF6348A5209A2F0A10CA39840CE6346E89CA0E842BE8692DEF25C 4623A5A0E0B98708B9492E9F564324BB3872D6B953CA59E9F393C477E2AB85EC C557D333E88C111CF995FB79D9432DC94C2BDB3BFEE13C0D7D1BB920DAFA6158 8548447AFC65CD5515D5021E0ED7D213B0C08C35BB424AA91885CA023D7AF767 B83E619B15DFEF5588D2F0564296E14B5A6ACE03751E1016105C51BE76EA5ADB 4167BAED2A8899031FD7BA05C410ADA25ADD94A787EED1A7AE133B0568B1DBA5 44B41BE013782CFCA3D81E8E8210DD506ADFCE7DC7E792EFEF438221164A7D1B 5E7089F476240C5F94988F081943F24DBF7CC3D1E58CB89E1C0C1624682CC3D8 C95815ECC9183A4B3E353C7F920B7E64086E01672DAA7C8A81319BAA03C1FBB7 8E5E84CC5BAE0E107754794C755B7AF00953504094E1A9DF357D51B578259613 8D26F0BA26AAC459BBEEB90BCC98B865EDD26AA4DF533D6624EDAC762C446B6F CF9F86DD2D8989D4655775E662B93BF51805EE3CBA0AE2293D95F166E80973CC 82C53042D0249C598B0821E9E7F218BA6114EEC86C158F277934F2651490B723 7F0D0288560DA5BEBAFDDF243048E590871AD18B3B220EC56549004DF122AA03 BAAD6971D790BC644369FDBEE74A324083CFA9496C2A333774F06E35299242BC F4B26578907CC5AD1893613F2B8622CFBB7B55810162EEBFAAEAB2A6D69CB72B D7859C73843E665125FF450631F32E64F13A6207F368103C7A7318DBAF2560D0 F1CDD83C3E48CB30C62AF1E0896E1962C655D9ED98E1BB38477C1C60ECDB6B95 067D3A638AD43EE886338F7AD2D2A574CE6FD2E21F6FCB4220EFEC85ABF8272A 82081CE70E4390A74EC717F1DDD168F4A4A080A79EE2ECE0F98A96871DA4B52F 78441601AF47763C2219F5A167604C32F478D498835EF3A6167936994F7C7139 3019FF43C97E7978D3CDA641C1E391FEA572D308E759F28DDE2B40B5BC207A4B C5EB6A93EEE26782016F8B6534420BE4D790A2E1A65B6CDBE9468152230384FD 14E9AE84418A44F94E6825DD7D77D0BB5486DE26A692B3DA96C81FA4440C5D44 8E7F3CAA9B8DF38F87E09C4D78841F629F78F4E7CC8580CC44E59E5D9AE8B2DE C0682F793AE7AEC12A8AE688636197E8A08FEB70EFDB6203681A60223B9B0D39 2DA656E5E99B82130D4BE38D7AFE18568DD30B0CC3C73C1E2914ACE11A65334D A9F18135E7B86157122CD221C33C62012FFB16D2D2F3473A53BE3E7B9FD4303F 66ADF0B07155C7B9B002EA68C6AC7247EB3CE7D2670A60138049DAA964F86A05 22983EDA7242E6BEEB90DF61C937399B2CE1061DF1E551CEED4A80D86C2D4649 C9FF9A1F93E96773CD392478D5B70D5336A03A274E0A6EF44BE8CB2274324142 706BC2E340DC944339D647961FD7BF29944503B4AFCDC69A706AA6B0F6AB2CB5 D220A96ACC1EE5E7826F6F75F044224E5260D581AE761AD0C752A06AA03FD935 FAD65C9EDD4E5505396E331D45DE88F0D1A4303D766ABE0702C17E2A7F53C0EA 96A4DEC5A6B6186F5DBAAB05DD78E38AFE630465BEF0EC66ABA9C1C9232214A9 795D105C33CF069F6BE20B179F4CC9F484AB63ED25C1212C457DF62CA0D56E20 608572216F2D4C09010B03A8AA6D287C8F514BEEDC1C912552CC2489858BF4D3 084882CE4F4B6FB9EE27C0168671E6DA154018ABEAD013C88E1D3EC918371251 63D95BA0FE20212C20AD3F4DB614EE36B488A3F55D94C1EDFCA8E68E54A1EED4 7DD168DCCF07C3DDB5E2B499DB5635C5C5056A7438120DB4839427D07F96AB8E F842E285243E40259F6DF029E27779CCF3D3BD7206B2C341045A5A4AABACC2A5 91C6830FE05ACDCFDE99046F16F2AC183426ACA4A89FE5F09B7EB2F811BB5FB5 AF073BDA2886070B2327D582DCBA66B47E8948C3BE05E837BE4B81402A583403 74FF9E938F0E9DC3B1CB81B93DFD4070F9EBAED40BA570DE8F9A5C2C0A097311 22A6065139A6580E332473E9410D9F4C734794F79E41D0D437CEC7381919DF6F A24B170E2BC97A6396A4E3AC3D844AD6E2B8FCE1C6AE97DFC5319F49130C3D6F AF2541EB2384D5D4CCBEB976846EF8C2165DBF706112BDDDEC9A57D157F5996D 95229FD5C71B885D16B177BAB06B9DF5740A45C2A005778EE879193290419C0A A4A339029E37E685B8A05B111DDF94AC19B1D85C8E6026E57E3D3B373C08557A F96E6FE3916695ADFC1F0BF5D558565F42A71C61ACFEFC9026424397F0646642 7EDAA05794BCCD164A645860B57EAD53CB6899B18C6E9496EA4DAB0A0C272639 DEBC4FCBA94B3BF123F7771F602E7667C8F56E12429669F2219C7D8E294BE07B 71E88EA62F5616CAAB7C0198E6FF12A348E36B306FE2684A401399431B6A84CF B46EE4BAA0F4099E65E9AF3B70274EDD6B6524F4FA38C23F9CD5273EEDC8C6C3 E7312B6E0497C05AD3F3C246638F01387CC11DBCBD287ACF54D8E24759F51415 35ED64132EF4158F54AB9F4D567482B3057880490F805822F71E7E2C52F7BC38 8B1F803AC3731064B90E5E97AA3351D17E73DC2FE526CD6C91158636E395867D C1150FD3BD12493FFFB813AF0D08C8ED0B7418A2CF90BD5B783364358605D075 5DEA95A9299C0654EFB28E2FE8A41358A0DD124D0314A27558E42ED5F2D74BB7 056DE04D2CF13B9B804A3CBBA29BC155A3F18B8B48283194C33CE8291677E1EF 0721138F8E0409D49BB99F217607586D2DF00C29A25536E21924B4CF6702CF85 C02DFBFD2AA4DE3DBED1D2C02E21052A8D10F96629D0D18154923638FE0C48BD E2DEAF11663E20717EA77A5453686AAA39D6FF7919AF09B1AD956FDBF734F49E 262F3076F62E77BD45122B55A5913902D9F91C4246FC235BA9C0FA4A96994291 830638949BED423387DA2D455A3C9122484EFF27F5367D1D3DD27D207D973815 965E1CFF36F43C653ED406F65348671D9FFAF55BA3FC266D438AF473181B7801 164EA3F04FEC870743195B3F467DE36B3719BAD9BF15A18637A314C887D46673 445BA3C212749B0A33136FEE9FE2C9A13D62E7ACC96378D257FBE0EB06AD4D4E D41976AB92AC720DFD33B0677062C32E6F5C992A0324FD26E984B5341A58C190 D20EC3F1144697D514D9157340A6C9F82E62AD8CFDEE59F6FF86C6250CE33D6B BB82DDB4F65BEFC6F6D0E4044F7BF307CC346E2FFD191846E3CA288C6F91CB71 5FDE855FEC5E38816CC635C470BF15263A10A409F0BC4877F7E6D4C223E3564E E7BB5B320AAA5AAF4F32528F7413BFB97C70FF5E6843E1FE501472129BC9758D 7531BE576C75840CBC4CD3E6D9E5FF52559B68DE6E7827128BB2ED1BAD43F36E A0CB68C1A147A7093EB02062AC5492DB7EEE08B1BDB187E15339A66269E459BC 67495937B4317AF66A498923322B087ECF47B601C26E253D223A784DB2D204FD 0668BD403A73723848018B7C86B627B9AE0BD9038F567CD5F670CAFC5C4D86FC ECA211B713ACF8C1370191161CBB6C2592E8B9DBF3471133F2D9A60F15D72F9C 5E5539D59A6A7E124D9A38A6FF6EB7C71990716F88E1888295584F17D49144B2 B57252D7D87CFB7BE009E0E1AF68C57E2041CB837A1F9DA290FC07240D616876 CBA29ED23952F977F27ED97503F6C6CB48DA6611E0ED9D90FA865D099740C6CE 8A5DDBB1D6550B208321C365A5104F9ABD66A9238B8A2106AA74CAC58D1163F1 DC4A62013C0F6DD8A3E8E1A6CC6E553746D570A744863FD8EA705890890AC5BC 2F0A068C740572F045B32289A2AE66CC44A1C13FB8BBD4E1834995731D19B47E 7C2FE360AE79DACB95856B01EE39EB3C7C9EAEB3D47348C47D928BC883B8E760 6724D80DABC4D736411942BBA8CF08157F21D63C18924282193C5C8E44E09048 FDCB8DB2E01C8A496FEE2CFC19A3A0EACA508237C8BD988ED6D33D01EB548B14 61A546886AACDAFB7C8CA69056B1F428D725429A5540F57E3CC590A42542431F 82220D59B3D6309952F77FE43566F4893C6475A474569BB1CA0B1F4D1C8F6587 FFE8FC5BEC217581860729E94F373E3571D38FB3E7773149763AD3400B0D1FFA E0C30EB26F23ABA7D54984B4CFC4321F5B87D49109D8C187697867034CCD41AB AAFDC20CD7DB4E1FBD3D5ABD4CDEF7807136BDA57A2DBBA01382AAEF0F595F94 D82D681D53EC62DD9CBA186509D0465E642DC8431E8D5D25D8F34649675A644B B1EBCB8E35143A9B85BB0A69CECC9EE9CDC9139CBBC3C99BC5E735F069C3B10D F1604F686AF9693B5B78A8A5A838454B66D6927F89E3E79BBAA8A75DC60737D5 A6B2DD89D2FAFD03CBC565D34358FA0E6F3511DD495463C062E2D3290B914DC8 1BC60F32E0F01EF3B35191CC634212777A60B20A83D5580312D28FF304603F55 A895D13FD6067CBB89408D77A54EDF927681D14D0E11F6652020E23018431A81 D62A19D0FF4694561159785A28C18AD20B1F06D23BF50A7585707400FB855044 86CADCDD12BCDC0DFC3E186F7118F5CA8B1A393D64D56EC09D31721A4F219772 C9480F488CF8202A30A057C3F2A41E1070870F50E2DDB26945A0F8EB377F4CEF F1414AD4D8051509F0938285EEE5081A6DB75F25AF8EC72B09D7D48114A189D6 AF9F0D9B02FED162AFC5A83A68D987D8869335EAC16D6BB537F186AE4AC69ABB 319511C19C1D8F086A984CA09937E9A43E0B3936320867BC7B14924C9A33A5C7 26A3C64F0B39642188FDF5A5C188705AC2CCC8D9602E0C350B48962FD2B53F4D BAE6AA71BA4C4BED295A6FC192E3501391C6E157C6BB31C255602D2E764EFE2B BFE6DD3A1809AAA63440D82CBE7A03BF1C3904DF76714EE58B726225B8CBDE50 ACF77071E995EC000BEBB72B9A6DF129384278A9DA2AD0834D4800D4F55D37D0 C093A991FA3ADDE3388C59F8EE37FA35E6DDE128F4D6B897017FABA3127790E4 C9C524C91FDF66E4F7FA871FED4332748F0DB942C6C78CE926E0D50D119547C2 BE176089AD2AED23BE7ADAA826B2B2D5D7F43E7BA807DCB7D6E5072511EAF92F A50EFE38C44DB2E1FE3B6DEFB779CDE68BC414674B935F9DF28B77368ABA2E4F A5F763B0B363090CA049A343D116A192C113F90C43258B75E93770DFEDEE44E8 411D2FC70E764244F59E3CA7F89C961B497DFE8EDA67E72EF6330CDC835042F6 FA3F9BA263F3D972978653EB2A8FEE119C190480E9DFA13A5448A29D88988833 FED9F7EF7E3F7AEA1E84FE2321EA643031E3E54B6788A7D56D2939D35F40ECA4 D48D8F1C3CD72CEA25F85EA951DE419DCC37EF780CC59EFB966F15C3580AE452 F5E7FB3276AA6954A7755A052585BE287F562F8D13C5976C515DEFCCF34A260D 6588EA7D9CAF57CE8A30D58FEDBEDC692FD1E3DC983E0ADA691614087FF22F47 F0B6BF2893D1D98BF9161B2995EE88B3F9CFCE473CAE89A51E7F3BBF6D00C44C 6FF0D374184669B272BBF9A0FB0B21B6ADE05D1BD8EBD1E0681D7C0DF27874C9 3769BAE86A533D5F83163868203117C2FE89AEA385557FC1FA96E2D786798D97 CFF3FB19BDFC7143CFA87F2E334499969E3A355131831BCD2B1F07FF1AE858F4 CD84DB166832E3D38D711B66F378FA350DFA244E24F4739C650A8EF87588CAB9 2D0E4648D8347794F904BA81C732F455627AACD9545FF377BAC23EDFD93A0218 C2F3A7BE0022F84586DDFE57B131C43B40F114F2EDFEE0145A53CD9D8ED26A97 B7D77E04A37B1CBEF667A64A5D11719213D95C775E29F81311668F9D817737FB 4FDC54843BCE60C3E609CBD8CCBEF4F7617D136D3E77B0B07D21F8F2A9B55FD6 F9EC5B62887B8F4754761F04EF497F0DA39C4BB1E33632DA6257F1D05DCC790E 109480A2B68E80EA1C80CC4115D3AF109AD92BB069BED73158B12B8A0473B73C 5AFA527E23B75DC97E88AA2DBC7EC3876D1D3D1D4538082696D2F7066BA848CE 02D9411673E03692B31CE2A2CF5B2388290295FC586959EB483AC8A751BE6C00 845CC2D2975A0C449539C4A06A7EE49D8E490DE03ABAA6DF2A968D14AEEF629B EFFD52396E194C7A59DE05B08C7E390D8813CEF7A7B5CB71B8C81A18CD186452 DEEBE34D69EDA26F0FA05FC6BAF7B8CD62B7A37722489CD656E944FE12BBB077 3692DE4FB1E735BBE830D3D59A67390975B5754F5C3933895C111CAE30E7119A ABB480F3B071F0A9A36C16A9333A0E7B4F2465B32A99AA83C7E0A1C10920177D F599CDD8BCAEDDE0BC84465387CBF9D620F1F51FA66C4513DCF3CB123D04DD3A 25B9EF06AF1FDA4C39A063AB608624064DA74432F976D99268A58F0BC98828D6 D2FC9691FDCE3C4F2C3D97BFA325CE803BDE0B6C21F082E5B40D45922DACC6DB 7454876B5EDE8D353AC5542B5AF579E54ACF13A17D7690A8B607B9E6744A3677 AA268D4ABF1E0BCA578D6D24E19049015E1D966DD9BCD74AD9DAA20F812E9107 104A4DA21166F15D27B0A80DFCE0C5302971A5B3B10C100BCC7170B4EB8F7DA9 2FA00DADD82A0CA5866D103535DDA062E9154DAB0A37AAEBB6CE4B858CDD3D31 F41AC9B9EC407E057255771FD02B4DD4F90FBF17BB66D52E18F485650FB3B348 38CA339DB56D01D8161C4BC8AD4AF517A7EC1D3100AD78C9656992BD99332648 0C59E774257A7CB7C705E632CC0AED9693E7024463EF624B0C4BDE03A2B390D4 3E72F49420C5B93F720DD73336908873FBD8401978893E7E0F0FAB496B1C125F 79EB15AC532B9705E4BC676E334934D97ABEBD8AE5FCD0C7F2A64B8D5BD9A687 1286E402632F9F83CE8122787C448FCCBCAEB5AA3D1CBCE43B3B61B4FB5D765B 9E3A3338F276DAC00B31AA0211BA067DB9610F5B02BCE36D69F87CC6D377F690 B95DB34ADCEAB4AEF7DC6F37806A9F038465C404FF4F3D68A532E2423EEADC53 9A7383C55A4ECEC6DB7EB24B6B870F31849CC827FB89332E775CCDF47803BCCA F99E7F079559E850F67A2CCFD3E5E7551EE2CA378FBE9CEAAF89F462A5F61AFD 885E8E762CA64FECBB9523CC07D53DB60DADFD140853F2198AE64A7AF8E5B89F 72C633F214F057BFA21D1A17A9111A79C866BC844D6EFCA131879D727062A3F4 10EC667A97679C2252CE93E3E5DD59411CC754A01F9CCDEC2B018D4971693323 AA36F93E6564091E5E2E1FC154D716A78EF26878D403DAE6EACA22AFA1906856 CB4EB66D52421825014FA1593352A9621C1F7106E82B4A8DFBA464BF4C47E084 4763FE4FDB1AB8A04412FA0C0FBB994AF9A17AB5DC1FC9F0348CB74BFCD4E838 C888F83F2CCC88DC718C 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark {restore}if %%EndFont TeXDict begin 40258431 52099146 1000 600 600 (gostate.dvi) @start /Fa 147[21 5[23 34 24[45 76[{}4 58.1154 /CMBX7 rf /Fb 149[20 55[45 66 19 14[66 8[52 2[52 52 18[20 52{}10 58.1154 /CMSY7 rf /Fc 132[48 4[50 53 37 38 39 1[53 48 53 1[27 50 1[27 53 48 29 44 53 1[53 46 10[72 1[66 3[65 2[91 57 1[49 36 5[69 68 10[48 2[48 48 48 48 48 1[27 46[{}35 83.022 /CMBX10 rf /Fd 167[120 6[78 88 12[73 73 73 73 14[73 73 30[50 50 14[38 38{}13 83.022 /CMEX10 rf /Fe 134[59 59 81 59 62 44 44 46 1[62 56 62 93 31 2[31 62 56 34 51 62 50 62 54 11[86 78 62 84 1[77 3[67 3[88 1[70 74 86 81 80 85 7[56 56 56 56 56 56 56 56 56 56 1[31 46[{}46 99.6264 /CMBX12 rf /Ff 135[37 51 37 39 27 28 28 1[39 35 39 59 20 1[22 20 39 35 22 31 39 31 1[35 23[25 24[35 35 20 24 20 44[{}27 66.4176 /CMR8 rf /Fg 134[51 51 69 51 51 49 38 50 1[46 53 51 62 43 1[35 25 51 53 44 46 52 49 48 51 12[65 1[66 1[62 3[57 7[69 65 9[46 46 46 46 46 46 46 46 46 46 1[27 31 3[36 36 40[{}43 83.022 /CMCSC10 rf /Fh 145[37 55 19 2[19 11[19 1[19 33[33 33 33 33 33 33 33 33 33 33 4[51 1[26 26 40[{}19 58.1154 /CMR7 rf /Fi 143[69 1[42 3[23 2[42 42 37 37 8[55 36[0 3[55 16[83 7[65 65 2[65 65 2[65 1[42 12[65 23 65{}20 83.022 /CMSY10 rf /Fj 134[41 47 59 40 48 1[39 37 37 42 1[50 73 25 43 34 29 1[40 41 39 43 36 36 44 9[78 2[49 4[63 67 81 57 71 46 2[65 1[61 2[63 62 2[65 42 65 23 23 27[49 8[48 7[43 47 53 11[{}44 83.022 /CMMI10 rf /Fk 134[34 2[33 2[31 31 30 2[41 59 21 35 27 23 20[39 5[53 63 46 13[52 34 52 20 20 27[40 30[{}21 58.1154 /CMMI7 rf /Fl 136[44 44 44 44 44 44 1[44 44 44 44 44 44 1[44 44 44 1[44 44 44 44 44 8[44 3[44 44 2[44 44 7[44 12[44 10[44 44 44 3[44 44 40[{}32 83.022 /CMTT10 rf /Fm 133[34 40 39 55 38 45 28 34 35 38 42 42 47 68 21 38 25 25 42 38 25 38 42 38 38 42 9[83 1[62 59 47 61 1[56 64 1[74 52 2[32 62 64 54 56 63 59 1[62 6[25 42 3[42 42 42 42 42 1[42 25 30 25 2[34 34 25 24[73 1[47 51 11[{}60 83.022 /CMTI10 rf /Fn 128[42 2[83 42 37 44 44 60 44 46 32 33 33 44 46 42 46 69 23 44 25 23 46 42 25 37 46 37 46 42 23 1[42 23 42 23 51 62 62 85 62 62 60 46 61 1[57 65 62 76 52 65 43 30 62 65 54 57 63 60 59 62 3[65 1[23 23 42 42 42 42 42 42 42 42 42 42 42 23 28 23 65 42 32 32 23 1[69 1[69 42 23 8[37 4[42 4[69 46 46 48 60 7[65 69 1[{}94 83.022 /CMR10 rf /Fo 136[97 71 75 52 53 55 1[75 67 75 112 37 71 1[37 75 67 41 61 75 60 75 65 14[100 1[92 101 5[50 105 4[97 1[102 7[67 67 67 67 67 67 67 67 67 49[{}37 119.552 /CMBX12 rf /Fp 207[18 47[45{}2 41.511 /CMSY5 rf /Fq 144[28 2[17 4[28 45[28 28 28 28 28 28 28 28 28 5[43 1[22 22 40[{}15 41.511 /CMR5 rf /Fr 143[77 112[{}1 74.7198 /CMEX9 rf /Fs 145[37 51 20 31 22[35 4[43 17[31 61[{}7 41.511 /CMMI5 rf /Ft 206[61 15[61 33[{}2 49.8132 /CMSY6 rf /Fu 139[25 31 32 2[39 2[20 2[24 2[24 35 2[35 39 97[{}10 74.7198 /CMTI9 rf /Fv 145[38 54 32[42 16[19 59[{}4 49.8132 /CMMI6 rf /Fw 204[30 30 30 7[24 24 40[{}5 49.8132 /CMR6 rf /Fx 235[60 17[60 2[{}2 74.7198 /CMSY9 rf /Fy 145[46 68 29[58 2[52 15[60 21 21 36[45 21[{}8 74.7198 /CMMI9 rf /Fz 134[41 41 55 41 43 30 30 30 1[43 38 43 64 21 1[23 21 43 38 23 34 43 34 43 38 9[79 2[55 12[60 50 3[54 58 3[60 3[38 38 38 1[38 38 38 38 38 38 1[21 26 21 2[30 30 40[{}44 74.7198 /CMR9 rf /FA 139[34 35 36 14[39 49 43 31[67 65[{}7 74.7198 /CMBX9 rf /FB 128[49 5[51 3[54 2[38 1[54 49 54 81 1[51 2[54 2[43 1[43 54 49 12[70 6[89 2[50 2[77 64 15[49 49 2[49 49 49 3[27 44[{}25 99.6264 /CMR12 rf /FC 139[51 52 51 2[66 73 111 3[36 2[40 2[58 73 66 25[104 3[96 67[{}13 143.462 /CMR17 rf end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%BeginPaperSize: Letter /setpagedevice where { pop << /PageSize [612 792] >> setpagedevice } { /letter where { pop letter } if } ifelse %%EndPaperSize end %%EndSetup %%Page: 1 1 TeXDict begin 1 0 bop 1351 872 a FC(Com)l(binatorics)42 b(of)h(Go)1141 1112 y FB(John)32 b(T)-8 b(romp)296 b(Gunnar)32 b(F)-8 b(arneb\177)-49 b(ac)m(k)1661 1307 y(Ma)m(y)33 b(26,)g(2015)1778 1606 y FA(Abstract)837 1736 y Fz(W)-6 b(e)38 b(presen)n(t)f(sev)n(eral)h(results)g(concerning)h(the)e(n)n(um) n(b)r(er)f(of)j(p)r(ositions)g(and)722 1827 y(games)f(of)e(Go.)67 b(W)-6 b(e)36 b(deriv)n(e)g(recurrences)g(for)h Fy(L)p Fz($)p Fy(m;)13 b(n)p Fz($,)39 b(the)d(n)n(um)n(b)r(er)f(of)i(legal) 722 1918 y(p)r(ositions)27 b(on)f(an)g Fy(m)17 b Fx(\002)g Fy(n)26 b Fz(b)r(oard,)g(and)g(dev)n(elop)g(a)g(dynamic)f(programming)i (algo-)722 2010 y(rithm)h(whic)n(h)h(computes)f Fy(L)p Fz($)p Fy(m;)13 b(n)p Fz($)29 b(in)f(time)h Fy(O)r Fz($)p Fy(m)2222 1978 y Fw(3)2256 2010 y Fy(n)2302 1978 y Fw(2)2337 2010 y Fy(\025)2382 1978 y Fv(m)2441 2010 y Fz($)f(and)g(space)h Fy(O)r Fz($)p Fy(m\025)3062 1978 y Fv(m)3120 2010 y Fz($,)722 2101 y(for)h(some)g(constan)n(t)f Fy(\025)e(<)g Fz(5)p Fy(:)p Fz(4.)46 b(An)28 b(implemen)n(tation)i(of)g (this)f(algorithm)i(lets)e(us)722 2192 y(list)d Fy(L)p Fz($)p Fy(n;)14 b(n)p Fz($)25 b(for)h Fy(n)21 b Fx(\024)g Fz(18.)35 b(F)-6 b(or)25 b(bigger)h(b)r(oards,)g(w)n(e)g(pro)n(v)n(e)e (existence)i(of)f(a)h Fu(b)l(ase)i(of)722 2284 y(lib)l(erties)22 b Fz(lim)1108 2292 y Fv(m;n)p Ft(!1)1379 2255 y Fs(mn)1424 2220 y Fr(p)p 1501 2220 261 4 v 64 x Fy(L)p Fz($)p Fy(m;)13 b(n)p Fz($)21 b(of)h(2)p Fy(:)p Fz(9757341920433572)q(49)q(3)d Fy(:)13 b(:)g(:)p Fz(.)33 b(Based)22 b(on)f(a)722 2375 y(conjecture)27 b(ab)r(out)e(v)l(anishing)h(error-terms,)g(w)n(e)g (deriv)n(e)g(an)f(asymptotic)h(form)n(ula)722 2466 y(for)h Fy(L)p Fz($)p Fy(m;)13 b(n)p Fz($,)26 b(whic)n(h)g(is)g(sho)n(wn)g (to)g(b)r(e)f(highly)h(accurate.)837 2558 y(W)-6 b(e)35 b(also)i(study)d(the)h(Game)g(T)-6 b(ree)36 b(complexit)n(y)f(of)h(Go,) i(pro)n(ving)d(an)g(upp)r(er)722 2649 y(b)r(ound)22 b(on)i(the)e(n)n (um)n(b)r(er)g(of)i(p)r(ossible)g(games)h(of)e($)p Fy(mn)p Fz($)2325 2617 y Fv(L)p Fw($)p Fv(m;n)p Fw($)2554 2649 y Fz(and)g(a)g(lo)n(w)n(er)h(b)r(ound)722 2772 y(of)k(2)849 2740 y Fw(2)879 2720 y Fs(n)916 2703 y Fq(2)949 2720 y Fs(=)p Fq(2)10 b Fp(\000)p Fs(O)q Fq($)p Fs(n)p Fq($)1225 2772 y Fz(on)27 b Fy(n)19 b Fx(\002)e Fy(n)28 b Fz(and)f(2)1738 2740 y Fw(2)1768 2720 y Fs(n)p Fp(\000)p Fq(1)1914 2772 y Fz(on)g(1)19 b Fx(\002)e Fy(n)28 b Fz(b)r(oards,)g(in)f(addition)h (to)f(exact)722 2863 y(coun)n(ts)19 b(for)h Fy(mn)h Fx(\024)g Fz(4)e(and)g(estimates)h(up)e(to)h Fy(mn)j Fz(=)f(9.)32 b(W)-6 b(e)19 b(end)f(with)h(in)n(v)n(estigating)722 2955 y(whether)26 b(one)g(game)g(can)g(encompass)h(all)f(legal)i(p)r (ositions.)515 3229 y Fo(1)134 b(In)l(tro)t(duction)515 3411 y Fn(Originating)17 b(o)n(v)n(er)h(3000)f(y)n(ears)h(ago)f(in)j (China,)h(Go)e([2)o(])h(is)f(p)r(erhaps)f(the)i(oldest)f(b)r(oardgame) 515 3511 y(in)32 b(the)h(w)n(orld,)f(enjo)n(y)n(ed)g(b)n(y)g(millions)g (of)g(pla)n(y)n(ers)f(w)n(orldwide.)50 b(Its)32 b(deceptiv)n(ely)g (simple)515 3610 y(rules)27 b([3)o(])h(giv)n(e)e(rise)h(to)g(amazing)f (strategic)h(depth.)37 b(Results)28 b(ab)r(out)f(the)h(computational) 515 3710 y(complexit)n(y)e(of)h(Go)f(date)h(bac)n(k)e(some)h(25)g(y)n (ears.)35 b(In)27 b(1980,)e(Lic)n(h)n(tenstein)i(and)f(Sipser)g([8])515 3810 y(pro)n(v)n(ed)f(Go)i(PSP)-7 b(A)n(CE-hard,)24 b(while)k(3)e(y)n (ears)f(later,)i(Robson)f([10)o(])h(sho)n(w)n(ed)f(Go)g(with)i(the)515 3909 y(basic)34 b(k)n(o)g(rule)g(to)h(b)r(e)g(EXPTIME-complete.)58 b(More)34 b(recen)n(tly)-7 b(,)36 b(certain)e(subproblems)515 4009 y(of)i(the)g(game)f(ha)n(v)n(e)g(b)r(een)i(sho)n(wn)e(PSP)-7 b(A)n(CE-complete,)36 b(lik)n(e)g(endgames)f([7])h(and)g(lad-)515 4109 y(ders)e([14)o(].)60 b(This)36 b(pap)r(er)e(fo)r(cuses)h(instead)g (on)g(the)h Fm(state)g(c)l(omplexity)h Fn(of)e(Go.)59 b(W)-7 b(e)36 b(are)515 4208 y(motiv)-5 b(ated)25 b(b)n(y)f(the)h(fact) g(that)g(the)h(n)n(um)n(b)r(er)e(of)h(legal)f(p)r(ositions)g(is)h(a)f (fundamen)n(tal)h(prop-)515 4308 y(ert)n(y)h(of)h(a)f(game,)h(the)g (notion)f(of)h(legal)f(p)r(osition)h(b)r(eing)g(unam)n(bigiously)f (de\014ned)h(for)f(Go)515 4407 y(despite)33 b(man)n(y)f(v)-5 b(ariations)31 b(in)i(rulesets,)g(and)f(that)h(its)g(computation)f (turns)h(out)f(to)h(b)r(e)515 4507 y(almost,)c(but)h(not)f(quite,)i (imp)r(ossible.)42 b(In)29 b(particular,)g(w)n(e)g(demonstrate)f(ho)n (w)h(comput-)515 4607 y(ing)d(the)g(n)n(um)n(b)r(er)g(of)g(legal)f (19x19)f(p)r(ositions,)i(a)g(n)n(um)n(b)r(er)g(of)g(171)e(digits,)j (will)f(b)r(e)g(feasible)515 4706 y(b)n(y)h(2015.)1926 5255 y(1)p eop end %%Page: 2 2 TeXDict begin 2 1 bop 515 523 a Fo(2)134 b(Previous)46 b(w)l(ork)515 705 y Fn(Results)19 b(ab)r(out)g(the)h(state)f(complexit) n(y)f(of)h(Go)g(ha)n(v)n(e)f(b)r(een)i(mostly)f(con\014ned)g(to)g(the)g (online)515 805 y(newsgroup)40 b Fl(rec.games.go)c Fn(and)41 b(the)h Fl(computer-go)37 b Fn(mailing)k(list.)78 b(In)42 b(Septem)n(b)r(er)515 904 y(1992,)37 b(a)f Fl(rec.games.go)31 b Fn(thread)37 b(\\complexit)n(y)e(of)h(go")g(raised)f(the)i(question)f (of)h(ho)n(w)515 1004 y(man)n(y)27 b(p)r(ositions)g(are)f(legal.)36 b(It)28 b(w)n(as)f(noted)g(that)h(a)f(trivial)g(upp)r(er)h(b)r(ound)g (is)f(3)3049 974 y Fk(mn)3153 1004 y Fn(,)g(since)515 1103 y(ev)n(ery)h(p)r(oin)n(t)i(on)g(the)g(b)r(oard)f(ma)n(y)g(b)r(e)h (empt)n(y)-7 b(,)30 b(blac)n(k,)g(or)f(white.)43 b(A)31 b(p)r(osition)e(is)h(legal)f(if)515 1203 y(and)21 b(only)f(if)i(ev)n (ery)e(string)g(of)h(connected)g(stones)g(of)g(the)g(same)g(color)e (has)i(an)g(empt)n(y)g(p)r(oin)n(t)515 1303 y(adjacen)n(t)32 b(to)h(it.)52 b(Ac)n(him)33 b(Flammenk)-5 b(amp)34 b(w)n(as)d(the)i (\014rst)g(to)g(p)r(ost)f(sim)n(ulation)h(results,)515 1402 y(sho)n(wing)22 b(that)h Fj(L)p Fn($19)p Fj(;)14 b Fn(19$)21 b Fi(\030)i Fn(0)p Fj(:)p Fn(012)9 b Fi(\002)g Fn(3)1753 1372 y Fh(361)1877 1402 y Fi(\030)23 b Fn(2)p Fj(:)p Fn(089)9 b Fi(\002)g Fn(10)2323 1372 y Fh(170)2424 1402 y Fn(.)35 b(In)23 b(August)h(1994,)e(a)h(thread)515 1502 y(\\Complexit)n(y)35 b(of)g(Chess)h(and)g(Go")f(revisited)g(the)h (problem.)62 b(Jac)n(k)34 b(Hahn,)k(Jonathan)515 1602 y(Cano,)f(and)e(John)g(T)-7 b(romp)35 b(all)h(p)r(osted)f(programs)f (to)h(compute)h(the)g(n)n(um)n(b)r(er)f(of)h(legal)515 1701 y(p)r(ositions)28 b(b)n(y)h(brute)h(force)e(en)n(umeration.)41 b(The)29 b(largest)e(coun)n(t)i(published)h(at)f(the)h(time)515 1801 y(w)n(as)h Fj(L)p Fn($4)p Fj(;)14 b Fn(5$)31 b(=)g(1840058693.) 48 b(A)33 b(w)n(eek's)f(w)n(orth)g(of)g(computation)h(w)n(ould)f(ha)n (v)n(e)g(found)515 1900 y Fj(L)p Fn($5)p Fj(;)14 b Fn(5$)26 b(as)h(w)n(ell,)h(but)g(en)n(umerating)e Fj(L)p Fn($6)p Fj(;)14 b Fn(6$)27 b(tak)n(es)g(o)n(v)n(er)e(10000)h(times)h(longer,)g (sev)n(erely)515 2000 y(limiting)h(this)g(approac)n(h.)639 2100 y(In)20 b(a)f(Jan)n(uary)f(2000)g(thread)h(\\Num)n(b)r(er)g(of)h (Legal)e(P)n(ositions)g(on)i(Almost)f(Rectangular)515 2199 y(Boards",)k(inspired)i(b)n(y)f(earlier)g(remarks)f(b)n(y)h(John)h (T)-7 b(romp)24 b(and)h(Hans)f(Zsc)n(hin)n(tzsc)n(h,)g(Les)515 2299 y(F)-7 b(ables)29 b(\014rst)g(explained)g(in)g(detail)g(ho)n(w)g (to)g(coun)n(t)g(using)g(dynamic)g(programming.)40 b(His)515 2399 y(remark)22 b(\\)p Fm(Calculation)k(for)h(9x9)f(should)h(b)l(e)f (p)l(ossible)h(on)f(any)g(PC,)h(and)f(a)g(sup)l(er)l(c)l(omputer)515 2498 y(should)35 b(e)l(asily)h(b)l(e)f(able)g(to)g(hand)t(le)h(13x13.)p Fn(")54 b(pro)n(v)n(es)31 b(to)h(b)r(e)i(sp)r(ot)f(on.)52 b(Muc)n(h)33 b(later,)g(on)515 2598 y(Jan)n(uary)i(23,)40 b(2005,)e(Eric)f(Bo)r(esc)n(h)f(indep)r(enden)n(tly)j(disco)n(v)n(ered) c(this)j(metho)r(d)g(on)g(the)515 2697 y Fl(computer-go)24 b Fn(mailing)k(list.)41 b(His)29 b(metho)r(d)g(is)g(implemen)n(ted)g (the)g(next)g(da)n(y)f(b)n(y)h(T)-7 b(apani)515 2797 y(Raik)n(o,)30 b(but)i(a)e(bug)h(leads)f(him)i(to)f(p)r(ost)g(a)f (wrong)g(coun)n(t)g(for)h Fj(L)p Fn($5)p Fj(;)14 b Fn(5$.)46 b(Later)30 b(that)h(da)n(y)515 2897 y(Je\013rey)36 b(Rain)n(y)-7 b(,)38 b(based)e(on)g(his)h(o)n(wn)f(implemen)n(tation,)j(giv)n(es)c (the)i(correct)e(v)-5 b(alues)37 b(for)515 2996 y Fj(L)p Fn($5)p Fj(;)14 b Fn(5$)30 b(and)i Fj(L)p Fn($6)p Fj(;)14 b Fn(6$)31 b(but)h(wrong)e(v)-5 b(alues)32 b(for)f Fj(L)p Fn($7)p Fj(;)14 b Fn(7$)30 b(and)i Fj(L)p Fn($8)p Fj(;)14 b Fn(8$.)48 b(Finally)-7 b(,)33 b(the)f(next)515 3096 y(da)n(y)-7 b(,)26 b(Gunnar)f(F)-7 b(arneb\177)-42 b(ac)n(k)25 b(p)r(osts)h(the)h(\014rst)f(bugfree)g(program,)e(pro)n (viding)h(coun)n(ts)h(up)g(to)515 3196 y Fj(L)p Fn($10)p Fj(;)14 b Fn(10$.)639 3295 y(In)33 b(June)g(1999,)f(a)g(thread)g (\\Math)h(and)f(Go")g(discussed)g(the)h(n)n(um)n(b)r(er)g(of)f(games)g (of)515 3395 y(Go.)70 b(Rob)r(ert)38 b(Jasiek)g(claimed)g(an)h(upp)r (er)g(b)r(ound)g(of)f Fj(n)2379 3365 y Fh(3)2412 3340 y Fs(n)2457 3395 y Fn(,)k(whic)n(h)c(still)h(needs)g(to)g(b)r(e)515 3494 y(corrected)d(for)h(in)n(termediate)g(passes.)66 b(John)37 b(T)-7 b(romp)37 b(sho)n(w)n(ed)f(ho)n(w)h(to)h(get)f(a)g (double)515 3594 y(exp)r(onen)n(tial)24 b(lo)n(w)n(er)g(b)r(ound,)i (whic)n(h)f(w)n(e)g(mak)n(e)f(more)h(formal)f(while)h(\014xing)g(a)g (sligh)n(t)g(\015a)n(w,)515 3694 y(in)f(this)g(pap)r(er.)35 b(In)24 b(the)g(same)f(mon)n(th,)i(John)e(T)-7 b(romp)24 b(started)f(a)g(thread)h(\\n)n(um)n(b)r(er)f(of)g(2*2)515 3793 y(games",)f(noting)g(that)g(the)h(n)n(um)n(b)r(er)f(is)g (386356909593,)c(as)j(w)n(as)h(recen)n(tly)f(indep)r(enden)n(tly)515 3893 y(v)n(eri\014ed.)515 4167 y Fo(3)134 b(Preliminaries)515 4349 y Fn(A)22 b(p)r(osition)g(on)f(an)h Fj(m)7 b Fi(\002)g Fj(n)21 b Fn(Go)h(b)r(oard)f(is)h(a)f(mapping)h(from)g(the)g(set)g(of)g Fm(p)l(oints)g Fi(f)p Fn(0)p Fj(;)14 b(:)g(:)g(:)f(;)h(m)7 b Fi(\000)515 4449 y Fn(1)p Fi(g)i(\002)g(f)p Fn(0)p Fj(;)14 b(:)g(:)g(:)d(;)j(n)9 b Fi(\000)g Fn(1)p Fi(g)21 b Fn(to)i(the)g(set)g(of)g(colors)e Fi(f)p Fn(empt)n(y)o Fj(;)14 b Fn(blac)n(k)o Fj(;)g Fn(white)q Fi(g)p Fn(.)34 b(P)n(oin)n(ts)22 b(are)g Fm(adjac)l(ent)515 4549 y Fn(in)d(the)h (usual)f(grid)g(sense|equal)f(in)i(one)f(co)r(ordinate)f(and)h (di\013ering)g(b)n(y)g(one)g(in)h(the)g(other.)515 4648 y(A)32 b(p)r(oin)n(t)g(colored)f(blac)n(k)g(or)g(white)h(is)g(called)g (a)f Fm(stone)p Fn(.)50 b(Adjacen)n(t)32 b(stones)f(of)h(the)h(same)515 4748 y(color)26 b(form)i(connected)f(comp)r(onen)n(ts)h(called)f Fm(strings)p Fn(.)37 b(An)29 b(empt)n(y)f(p)r(oin)n(t)g(adjacen)n(t)f (to)g(a)515 4847 y(string)19 b(is)i(called)f(a)g Fm(lib)l(erty)h Fn(of)f(that)h(string.)34 b(A)21 b(game)e(of)i(Go)f(starts)f(with)i(an) f(empt)n(y)h(b)r(oard.)515 4947 y(The)e(pla)n(y)n(ers,)h(blac)n(k)e (and)i(white,)h(alternate)e(turns,)i(starting)e(with)h(blac)n(k.)33 b(On)20 b(his)f(turn,)i(a)1926 5255 y(2)p eop end %%Page: 3 3 TeXDict begin 3 2 bop 884 2607 a @beginspecial 0 @llx 0 @lly 466 @urx 475 @ury 2551 @rwi @setspecial %%BeginDocument: ALL2.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: ALL2.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Wed Sep 6 17:49:02 2006 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 466 475 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 475 moveto 0 0 lineto 466 0 lineto 466 475 lineto closepath clip newpath -53.3 554.8 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Polyline 7.500 slw n 2475 7575 m 3225 8325 l gs col0 s gr % Polyline n 3225 7575 m 2475 8325 l gs col0 s gr % Polyline n 3375 7575 m 4125 8325 l gs col0 s gr % Polyline n 4125 7575 m 3375 8325 l gs col0 s gr % Polyline n 6975 3075 m 7725 3825 l gs col0 s gr % Polyline n 7725 3075 m 6975 3825 l gs col0 s gr % Polyline n 6975 3975 m 7725 4725 l gs col0 s gr % Polyline n 7725 3975 m 6975 4725 l gs col0 s gr % Polyline 15.000 slw n 8625 7575 m 6975 9225 l gs col0 s gr % Polyline n 6975 7575 m 8625 9225 l gs col0 s gr % Polyline 7.500 slw n 6075 2175 m 6825 2925 l gs col0 s gr % Polyline n 6825 2175 m 6075 2925 l gs col0 s gr % Polyline 15.000 slw n 6825 7575 m 5175 9225 l gs col0 s gr % Polyline n 5175 7575 m 6825 9225 l gs col0 s gr % Polyline 7.500 slw n 6075 4875 m 6825 5625 l gs col0 s gr % Polyline n 6825 4875 m 6075 5625 l gs col0 s gr % Polyline n 1575 6675 m 2325 7425 l gs col0 s gr % Polyline n 2325 6675 m 1575 7425 l gs col0 s gr % Polyline 15.000 slw n 8625 5775 m 6975 7425 l gs col0 s gr % Polyline n 6975 5775 m 8625 7425 l gs col0 s gr % Polyline 7.500 slw n 4275 6675 m 5025 7425 l gs col0 s gr % Polyline n 5025 6675 m 4275 7425 l gs col0 s gr % Polyline 15.000 slw n 6825 5775 m 5175 7425 l gs col0 s gr % Polyline n 5175 5775 m 6825 7425 l gs col0 s gr % Ellipse 7.500 slw n 1800 8700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 9000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7200 8700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 8100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7200 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7500 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 4200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7200 4200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7200 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 2700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7200 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 1800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7200 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7500 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7500 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 9000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 9000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 8700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 8100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 8100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6600 7800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 4200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 2700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 2700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 1800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 1800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6600 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6600 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 5400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7200 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 5400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 5400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7200 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7200 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7500 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7500 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7500 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6600 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6600 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6600 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 900 8700 m 1200 8700 l 1200 9000 l 900 9000 l cp gs col0 s gr % Polyline n 1800 8700 m 2100 8700 l 2100 9000 l 1800 9000 l cp gs col0 s gr % Polyline n 2700 8700 m 3000 8700 l 3000 9000 l 2700 9000 l cp gs col0 s gr % Polyline n 3600 8700 m 3900 8700 l 3900 9000 l 3600 9000 l cp gs col0 s gr % Polyline n 7200 8700 m 7500 8700 l 7500 9000 l 7200 9000 l cp gs col0 s gr % Polyline n 8100 8700 m 8400 8700 l 8400 9000 l 8100 9000 l cp gs col0 s gr % Polyline n 900 7800 m 1200 7800 l 1200 8100 l 900 8100 l cp gs col0 s gr % Polyline n 1800 7800 m 2100 7800 l 2100 8100 l 1800 8100 l cp gs col0 s gr % Polyline n 2700 7800 m 3000 7800 l 3000 8100 l 2700 8100 l cp gs col0 s gr % Polyline n 3600 7800 m 3900 7800 l 3900 8100 l 3600 8100 l cp gs col0 s gr % Polyline n 7200 7800 m 7500 7800 l 7500 8100 l 7200 8100 l cp gs col0 s gr % Polyline n 8100 7800 m 8400 7800 l 8400 8100 l 8100 8100 l cp gs col0 s gr % Polyline n 900 4200 m 1200 4200 l 1200 4500 l 900 4500 l cp gs col0 s gr % Polyline n 1800 4200 m 2100 4200 l 2100 4500 l 1800 4500 l cp gs col0 s gr % Polyline n 2700 4200 m 3000 4200 l 3000 4500 l 2700 4500 l cp gs col0 s gr % Polyline n 3600 4200 m 3900 4200 l 3900 4500 l 3600 4500 l cp gs col0 s gr % Polyline n 7200 4200 m 7500 4200 l 7500 4500 l 7200 4500 l cp gs col0 s gr % Polyline n 8100 4200 m 8400 4200 l 8400 4500 l 8100 4500 l cp gs col0 s gr % Polyline n 900 3300 m 1200 3300 l 1200 3600 l 900 3600 l cp gs col0 s gr % Polyline n 1800 3300 m 2100 3300 l 2100 3600 l 1800 3600 l cp gs col0 s gr % Polyline n 2700 3300 m 3000 3300 l 3000 3600 l 2700 3600 l cp gs col0 s gr % Polyline n 3600 3300 m 3900 3300 l 3900 3600 l 3600 3600 l cp gs col0 s gr % Polyline n 7200 3300 m 7500 3300 l 7500 3600 l 7200 3600 l cp gs col0 s gr % Polyline n 8100 3300 m 8400 3300 l 8400 3600 l 8100 3600 l cp gs col0 s gr % Polyline n 900 2400 m 1200 2400 l 1200 2700 l 900 2700 l cp gs col0 s gr % Polyline n 1800 2400 m 2100 2400 l 2100 2700 l 1800 2700 l cp gs col0 s gr % Polyline n 2700 2400 m 3000 2400 l 3000 2700 l 2700 2700 l cp gs col0 s gr % Polyline n 3600 2400 m 3900 2400 l 3900 2700 l 3600 2700 l cp gs col0 s gr % Polyline n 7200 2400 m 7500 2400 l 7500 2700 l 7200 2700 l cp gs col0 s gr % Polyline n 8100 2400 m 8400 2400 l 8400 2700 l 8100 2700 l cp gs col0 s gr % Polyline n 900 1500 m 1200 1500 l 1200 1800 l 900 1800 l cp gs col0 s gr % Polyline n 1800 1500 m 2100 1500 l 2100 1800 l 1800 1800 l cp gs col0 s gr % Polyline n 2700 1500 m 3000 1500 l 3000 1800 l 2700 1800 l cp gs col0 s gr % Polyline n 3600 1500 m 3900 1500 l 3900 1800 l 3600 1800 l cp gs col0 s gr % Polyline n 7200 1500 m 7500 1500 l 7500 1800 l 7200 1800 l cp gs col0 s gr % Polyline n 8100 1500 m 8400 1500 l 8400 1800 l 8100 1800 l cp gs col0 s gr % Polyline n 4500 8700 m 4800 8700 l 4800 9000 l 4500 9000 l cp gs col0 s gr % Polyline n 4500 7800 m 4800 7800 l 4800 8100 l 4500 8100 l cp gs col0 s gr % Polyline n 4500 4200 m 4800 4200 l 4800 4500 l 4500 4500 l cp gs col0 s gr % Polyline n 4500 3300 m 4800 3300 l 4800 3600 l 4500 3600 l cp gs col0 s gr % Polyline n 4500 2400 m 4800 2400 l 4800 2700 l 4500 2700 l cp gs col0 s gr % Polyline n 4500 1500 m 4800 1500 l 4800 1800 l 4500 1800 l cp gs col0 s gr % Polyline n 5400 8700 m 5700 8700 l 5700 9000 l 5400 9000 l cp gs col0 s gr % Polyline n 6300 8700 m 6600 8700 l 6600 9000 l 6300 9000 l cp gs col0 s gr % Polyline n 5400 7800 m 5700 7800 l 5700 8100 l 5400 8100 l cp gs col0 s gr % Polyline n 6300 7800 m 6600 7800 l 6600 8100 l 6300 8100 l cp gs col0 s gr % Polyline n 5400 4200 m 5700 4200 l 5700 4500 l 5400 4500 l cp gs col0 s gr % Polyline n 6300 4200 m 6600 4200 l 6600 4500 l 6300 4500 l cp gs col0 s gr % Polyline n 5400 3300 m 5700 3300 l 5700 3600 l 5400 3600 l cp gs col0 s gr % Polyline n 6300 3300 m 6600 3300 l 6600 3600 l 6300 3600 l cp gs col0 s gr % Polyline n 5400 2400 m 5700 2400 l 5700 2700 l 5400 2700 l cp gs col0 s gr % Polyline n 6300 2400 m 6600 2400 l 6600 2700 l 6300 2700 l cp gs col0 s gr % Polyline n 5400 1500 m 5700 1500 l 5700 1800 l 5400 1800 l cp gs col0 s gr % Polyline n 6300 1500 m 6600 1500 l 6600 1800 l 6300 1800 l cp gs col0 s gr % Polyline n 900 5100 m 1200 5100 l 1200 5400 l 900 5400 l cp gs col0 s gr % Polyline n 1800 5100 m 2100 5100 l 2100 5400 l 1800 5400 l cp gs col0 s gr % Polyline n 2700 5100 m 3000 5100 l 3000 5400 l 2700 5400 l cp gs col0 s gr % Polyline n 3600 5100 m 3900 5100 l 3900 5400 l 3600 5400 l cp gs col0 s gr % Polyline n 7200 5100 m 7500 5100 l 7500 5400 l 7200 5400 l cp gs col0 s gr % Polyline n 8100 5100 m 8400 5100 l 8400 5400 l 8100 5400 l cp gs col0 s gr % Polyline n 4500 5100 m 4800 5100 l 4800 5400 l 4500 5400 l cp gs col0 s gr % Polyline n 5400 5100 m 5700 5100 l 5700 5400 l 5400 5400 l cp gs col0 s gr % Polyline n 6300 5100 m 6600 5100 l 6600 5400 l 6300 5400 l cp gs col0 s gr % Polyline n 900 6900 m 1200 6900 l 1200 7200 l 900 7200 l cp gs col0 s gr % Polyline n 1800 6900 m 2100 6900 l 2100 7200 l 1800 7200 l cp gs col0 s gr % Polyline n 2700 6900 m 3000 6900 l 3000 7200 l 2700 7200 l cp gs col0 s gr % Polyline n 3600 6900 m 3900 6900 l 3900 7200 l 3600 7200 l cp gs col0 s gr % Polyline n 7200 6900 m 7500 6900 l 7500 7200 l 7200 7200 l cp gs col0 s gr % Polyline n 8100 6900 m 8400 6900 l 8400 7200 l 8100 7200 l cp gs col0 s gr % Polyline n 900 6000 m 1200 6000 l 1200 6300 l 900 6300 l cp gs col0 s gr % Polyline n 1800 6000 m 2100 6000 l 2100 6300 l 1800 6300 l cp gs col0 s gr % Polyline n 2700 6000 m 3000 6000 l 3000 6300 l 2700 6300 l cp gs col0 s gr % Polyline n 3600 6000 m 3900 6000 l 3900 6300 l 3600 6300 l cp gs col0 s gr % Polyline n 7200 6000 m 7500 6000 l 7500 6300 l 7200 6300 l cp gs col0 s gr % Polyline n 8100 6000 m 8400 6000 l 8400 6300 l 8100 6300 l cp gs col0 s gr % Polyline n 4500 6900 m 4800 6900 l 4800 7200 l 4500 7200 l cp gs col0 s gr % Polyline n 4500 6000 m 4800 6000 l 4800 6300 l 4500 6300 l cp gs col0 s gr % Polyline n 5400 6900 m 5700 6900 l 5700 7200 l 5400 7200 l cp gs col0 s gr % Polyline n 6300 6900 m 6600 6900 l 6600 7200 l 6300 7200 l cp gs col0 s gr % Polyline n 5400 6000 m 5700 6000 l 5700 6300 l 5400 6300 l cp gs col0 s gr % Polyline n 6300 6000 m 6600 6000 l 6600 6300 l 6300 6300 l cp gs col0 s gr % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 2700 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 7800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 7800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3000 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8400 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 4500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 4500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 3600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 3600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 2400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 2400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3000 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8400 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8400 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3000 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3000 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8400 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4800 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 4500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 3600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4800 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4800 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4800 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 7800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6600 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 2400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6600 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6600 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6600 8100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 5100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 5100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3000 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8400 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4800 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 5100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6600 5400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 7200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 7200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 6000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8100 6000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3000 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8400 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 7200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4800 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 6000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6600 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 903 2873 a Fn(Figure)27 b(1:)37 b(All)28 b(3)1445 2843 y Fh(4)1509 2873 y Fn(2)18 b Fi(\002)g Fn(2)28 b(p)r(ositions,)f(with)h(illegal)f(ones)g(crossed.)515 3138 y(pla)n(y)n(er)c(can)h(either)h Fm(p)l(ass)p Fn(,)h(or)e(mak)n(e)g (a)g(mo)n(v)n(e)g(whic)n(h)h(do)r(esn't)g(rep)r(eat)f(an)h(earlier)e(p) r(osition.)515 3238 y(This)36 b(is)g(the)g(so-called)e(P)n(ositional)h (Sup)r(erKo)g($PSK$)h(rule.)61 b(Some)36 b(rulesets,)i(notably)515 3337 y(the)28 b(American)e(Go)i(Asso)r(ciation's)e(A)n(GA)i(rules,)f (use)g(the)h(Situational)f(Sup)r(erKo)g($SSK$)515 3437 y(rule,)j(whic)n(h)f(only)g(forbids)g(rep)r(eating)g(a)g(p)r(osition)h (with)g(the)g(same)f(pla)n(y)n(er)f(to)h(mo)n(v)n(e.)42 b(A)515 3536 y(mo)n(v)n(e)30 b(consists)h(of)g(coloring)f(an)h(empt)n (y)g(p)r(oin)n(t)h(y)n(our)e(color,)h(follo)n(w)n(ed)f(b)n(y)h(empt)n (ying)g(all)515 3636 y(opp)r(onen)n(t)24 b(strings)f(without)i(lib)r (erties)f($capture$,)h(follo)n(w)n(ed)f(b)n(y)g(empt)n(ying)g(all)g (y)n(our)f(o)n(wn)515 3736 y(strings)31 b(whic)n(h)i(then)g(ha)n(v)n(e) e(no)h(lib)r(erties)g($suicide$.)52 b(Finally)-7 b(,)34 b(t)n(w)n(o)e(consecutiv)n(e)f(passes)515 3835 y(end)g(the)h(game)1043 3805 y Fh(1)1080 3835 y Fn(.)49 b(Th)n(us,)32 b(in)g(p)r(ositions)f (arising)f(in)i(a)f(Go)g(game,)h(strings)f(alw)n(a)n(ys)e(ha)n(v)n(e) 515 3935 y(lib)r(erties.)44 b(Suc)n(h)30 b(p)r(ositions)g(are)f(called) g Fm(le)l(gal)p Fn(.)46 b(The)30 b(n)n(um)n(b)r(er)g(of)g(legal)f Fj(m)20 b Fi(\002)g Fj(n)30 b Fn(p)r(ositions)515 4035 y(is)d(denoted)h Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($.)639 4134 y(Figure)21 b(1)h(sho)n(ws)f(all)g(p)r(ositions)h(on)f(a)h(2)7 b Fi(\002)g Fn(2)20 b(b)r(oard.)34 b(Ob)n(viously)-7 b(,)22 b(the)g(16)f(b)r(ottom-righ)n(t)515 4234 y(p)r(ositions)30 b(with)h(4)f(stones)g(are)g(illegal.)45 b(Additionally)-7 b(,)31 b(the)g(other)f(8)g(crossed)f(p)r(ositions,)515 4333 y(with)42 b(a)f(stone)g(of)g(one)g(color)f(neigh)n(b)r(oured)h(b)n (y)g(t)n(w)n(o)f(stones)h(of)h(the)f(opp)r(osite)g(color,)515 4433 y(are)36 b(illegal.)63 b(Since)37 b(all)g(p)r(ositions)f(with)h(2) g(or)f(few)n(er)g(stones)g(are)g(legal,)i(w)n(e)f(\014nd)g(that)515 4533 y Fj(L)p Fn($2)p Fj(;)14 b Fn(2$)22 b(=)g(3)908 4503 y Fh(4)964 4533 y Fi(\000)c Fn(16)f Fi(\000)h Fn(8)23 b(=)f(57.)515 4715 y Fg(Definition)32 b(1)f($game)h(graph$)42 b Fm(L)l(et)24 b Fj(G)p Fn($)p Fj(m;)14 b(n)p Fn($)25 b Fm(b)l(e)f(the)h(dir)l(e)l(cte)l(d)g(gr)l(aph)h(whose)f(vertic)l(es)p 515 4789 1146 4 v 607 4843 a Fw(1)642 4866 y Ff(since)i(none)h(of)e (our)h(results)f(is)g(concerned)j(with)e(the)g(outcome)i(of)d(a)h (game,)h(w)n(e)f(refrain)f(from)g(dis-)515 4945 y(cussing)e(scoring)f (rules,)g(except)i(to)g(note)f(that)h(these)g(accoun)n(t)h(for)d(the)h (ma)t(jor)f(v)l(ariation)h(in)f(rulesets)1926 5255 y Fn(3)p eop end %%Page: 4 4 TeXDict begin 4 3 bop 1474 1033 a @beginspecial 0 @llx 0 @lly 145 @urx 91 @ury 1133 @rwi @setspecial %%BeginDocument: G21.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: G21.fig %%Creator: fig2dev Version 3.2 Patchlevel 5-alpha5 %%CreationDate: Sat Nov 11 19:28:37 2006 %%For: tromp@amiga (John Tromp,,,) %%BoundingBox: 0 0 145 91 %Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 91 moveto 0 0 lineto 145 0 lineto 145 91 lineto closepath clip newpath -8.5 117.4 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Ellipse 7.500 slw n 1200 1200 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1500 1200 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline 0 slj 0 slc n 1200 1200 m 1500 1200 l gs col0 s gr % Ellipse n 2100 600 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 600 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 2100 600 m 2400 600 l gs col0 s gr % Ellipse n 300 600 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 600 600 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 300 600 m 600 600 l gs col0 s gr % Ellipse n 300 1800 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 600 1800 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 300 1800 m 600 1800 l gs col0 s gr % Ellipse n 2100 1800 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 1800 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 2100 1800 m 2400 1800 l gs col0 s gr % Ellipse n 600 600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 300 1800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline gs clippath 1053 645 m 885 645 l 885 705 l 1053 705 l 1053 705 l 933 675 l 1053 645 l cp eoclip n 900 675 m 1800 675 l gs col0 s gr gr % arrowhead n 1053 645 m 933 675 l 1053 705 l col0 s % Polyline gs clippath 1647 555 m 1815 555 l 1815 495 l 1647 495 l 1647 495 l 1767 525 l 1647 555 l cp eoclip n 900 525 m 1800 525 l gs col0 s gr gr % arrowhead n 1647 555 m 1767 525 l 1647 495 l col0 s % Polyline gs clippath 1647 1755 m 1815 1755 l 1815 1695 l 1647 1695 l 1647 1695 l 1767 1725 l 1647 1755 l cp eoclip n 900 1725 m 1800 1725 l gs col0 s gr gr % arrowhead n 1647 1755 m 1767 1725 l 1647 1695 l col0 s % Polyline gs clippath 1053 1845 m 885 1845 l 885 1905 l 1053 1905 l 1053 1905 l 933 1875 l 1053 1845 l cp eoclip n 900 1875 m 1800 1875 l gs col0 s gr gr % arrowhead n 1053 1845 m 933 1875 l 1053 1905 l col0 s % Polyline gs clippath 1788 879 m 1906 760 l 1864 718 l 1745 836 l 1745 836 l 1852 773 l 1788 879 l cp eoclip n 1575 1050 m 1875 750 l gs col0 s gr gr % arrowhead n 1788 879 m 1852 773 l 1745 836 l col0 s % Polyline gs clippath 1736 995 m 1618 1114 l 1660 1156 l 1779 1038 l 1779 1038 l 1673 1102 l 1736 995 l cp eoclip n 1650 1125 m 1950 825 l gs col0 s gr gr % arrowhead n 1736 995 m 1673 1102 l 1779 1038 l col0 s % Polyline gs clippath 995 963 m 1114 1081 l 1156 1039 l 1038 920 l 1038 920 l 1102 1027 l 995 963 l cp eoclip n 825 750 m 1125 1050 l gs col0 s gr gr % arrowhead n 995 963 m 1102 1027 l 1038 920 l col0 s % Polyline gs clippath 879 911 m 760 793 l 718 835 l 836 954 l 836 954 l 773 848 l 879 911 l cp eoclip n 750 825 m 1050 1125 l gs col0 s gr gr % arrowhead n 879 911 m 773 848 l 836 954 l col0 s % Polyline gs clippath 1820 1488 m 1939 1606 l 1981 1564 l 1863 1445 l 1863 1445 l 1927 1552 l 1820 1488 l cp eoclip n 1650 1275 m 1950 1575 l gs col0 s gr gr % arrowhead n 1820 1488 m 1927 1552 l 1863 1445 l col0 s % Polyline gs clippath 1704 1436 m 1585 1318 l 1543 1360 l 1661 1479 l 1661 1479 l 1598 1373 l 1704 1436 l cp eoclip n 1575 1350 m 1875 1650 l gs col0 s gr gr % arrowhead n 1704 1436 m 1598 1373 l 1661 1479 l col0 s % Polyline gs clippath 911 1520 m 793 1639 l 835 1681 l 954 1563 l 954 1563 l 848 1627 l 911 1520 l cp eoclip n 825 1650 m 1125 1350 l gs col0 s gr gr % arrowhead n 911 1520 m 848 1627 l 954 1563 l col0 s % Polyline gs clippath 963 1404 m 1081 1285 l 1039 1243 l 920 1361 l 920 1361 l 1027 1298 l 963 1404 l cp eoclip n 750 1575 m 1050 1275 l gs col0 s gr gr % arrowhead n 963 1404 m 1027 1298 l 920 1361 l col0 s % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 2400 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%Trailer %EOF %%EndDocument @endspecial 1403 1299 a Fn(Figure)27 b(2:)36 b(game)27 b(graph)f Fj(G)p Fn($1)p Fj(;)14 b Fn(2$.)515 3023 y @beginspecial 0 @llx 0 @lly 415 @urx 235 @ury 3401 @rwi @setspecial %%BeginDocument: G31.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: G31.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Wed Sep 14 13:31:33 2005 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 415 235 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 235 moveto 0 0 lineto 415 0 lineto 415 235 lineto closepath clip newpath -44.5 279.4 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Ellipse 7.500 slw n 3000 900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 1800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 1800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4500 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 3900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1500 2700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 900 2700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 2700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 900 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 900 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 900 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 900 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 1800 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 1800 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 2700 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 2700 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 2700 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 3600 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 4500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 4500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 4500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 4500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 2700 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 2700 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7200 2700 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 2700 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 2700 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4500 2700 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 3900 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 1500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 3600 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 3900 2700 m 4500 2700 l gs col0 s gr % Polyline n 2400 2700 m 3000 2700 l gs col0 s gr % Polyline n 2400 1800 m 3000 1800 l gs col0 s gr % Polyline n 2400 900 m 3000 900 l gs col0 s gr % Polyline n 2400 3600 m 3000 3600 l gs col0 s gr % Polyline n 2400 4500 m 3000 4500 l gs col0 s gr % Polyline n 900 2700 m 1500 2700 l gs col0 s gr % Polyline n 5400 2700 m 6000 2700 l gs col0 s gr % Polyline n 5400 1800 m 6000 1800 l gs col0 s gr % Polyline n 5400 900 m 6000 900 l gs col0 s gr % Polyline n 5400 3600 m 6000 3600 l gs col0 s gr % Polyline n 5400 4500 m 6000 4500 l gs col0 s gr % Polyline n 3900 1500 m 4500 1500 l gs col0 s gr % Polyline n 3900 3900 m 4500 3900 l gs col0 s gr % Polyline n 6900 2700 m 7500 2700 l gs col0 s gr % Polyline gs clippath 3285 2670 m 3285 2730 l 3437 2730 l 3317 2700 l 3437 2670 l cp eoclip n 3600 2700 m 3300 2700 l gs col0 s gr gr % arrowhead n 3437 2670 m 3317 2700 l 3437 2730 l col0 s % Polyline gs clippath 3170 1173 m 3116 1200 l 3183 1335 l 3157 1215 l 3237 1308 l cp eoclip n 3750 2400 m 3150 1200 l gs col0 s gr gr % arrowhead n 3237 1308 m 3157 1215 l 3183 1335 l col0 s % Polyline gs clippath 5283 1200 m 5229 1173 l 5162 1308 l 5243 1215 l 5216 1335 l cp eoclip n 4650 2400 m 5250 1200 l gs col0 s gr gr % arrowhead n 5216 1335 m 5243 1215 l 5162 1308 l col0 s % Polyline gs clippath 5229 4226 m 5283 4200 l 5216 4064 l 5243 4185 l 5162 4091 l cp eoclip n 4650 3000 m 5250 4200 l gs col0 s gr gr % arrowhead n 5162 4091 m 5243 4185 l 5216 4064 l col0 s % Polyline gs clippath 3116 4200 m 3170 4226 l 3237 4091 l 3157 4185 l 3183 4064 l cp eoclip n 3750 3000 m 3150 4200 l gs col0 s gr gr % arrowhead n 3183 4064 m 3157 4185 l 3237 4091 l col0 s % Polyline gs clippath 2670 3315 m 2730 3315 l 2730 3163 l 2700 3283 l 2670 3163 l cp eoclip n 2700 2925 m 2700 3300 l gs col0 s gr gr % arrowhead n 2670 3163 m 2700 3283 l 2730 3163 l col0 s % Polyline gs clippath 2730 2085 m 2670 2085 l 2670 2237 l 2700 2117 l 2730 2237 l cp eoclip n 2700 2475 m 2700 2100 l gs col0 s gr gr % arrowhead n 2730 2237 m 2700 2117 l 2670 2237 l col0 s % Polyline gs clippath 5730 2085 m 5670 2085 l 5670 2237 l 5700 2117 l 5730 2237 l cp eoclip n 5700 2475 m 5700 2100 l gs col0 s gr gr % arrowhead n 5730 2237 m 5700 2117 l 5670 2237 l col0 s % Polyline gs clippath 5670 3315 m 5730 3315 l 5730 3163 l 5700 3283 l 5670 3163 l cp eoclip n 5700 2925 m 5700 3300 l gs col0 s gr gr % arrowhead n 5670 3163 m 5700 3283 l 5730 3163 l col0 s % Polyline gs clippath 5670 4215 m 5730 4215 l 5730 4063 l 5700 4183 l 5670 4063 l cp eoclip n 5700 3900 m 5700 4200 l gs col0 s gr gr % arrowhead n 5670 4063 m 5700 4183 l 5730 4063 l col0 s % Polyline gs clippath 5730 1185 m 5670 1185 l 5670 1337 l 5700 1217 l 5730 1337 l cp eoclip n 5700 1500 m 5700 1200 l gs col0 s gr gr % arrowhead n 5730 1337 m 5700 1217 l 5670 1337 l col0 s % Polyline gs clippath 2730 1185 m 2670 1185 l 2670 1337 l 2700 1217 l 2730 1337 l cp eoclip n 2700 1500 m 2700 1200 l gs col0 s gr gr % arrowhead n 2730 1337 m 2700 1217 l 2670 1337 l col0 s % Polyline gs clippath 2670 4215 m 2730 4215 l 2730 4063 l 2700 4183 l 2670 4063 l cp eoclip n 2700 3900 m 2700 4200 l gs col0 s gr gr % arrowhead n 2670 4063 m 2700 4183 l 2730 4063 l col0 s % Polyline gs clippath 1520 2973 m 1466 3000 l 1533 3135 l 1507 3015 l 1587 3108 l cp eoclip n 2100 4200 m 1500 3000 l gs col0 s gr gr % arrowhead n 1587 3108 m 1507 3015 l 1533 3135 l col0 s % Polyline gs clippath 1466 2400 m 1520 2426 l 1587 2291 l 1507 2385 l 1533 2264 l cp eoclip n 2100 1200 m 1500 2400 l gs col0 s gr gr % arrowhead n 1533 2264 m 1507 2385 l 1587 2291 l col0 s % Polyline gs clippath 6933 3000 m 6879 2973 l 6812 3108 l 6893 3015 l 6866 3135 l cp eoclip n 6300 4200 m 6900 3000 l gs col0 s gr gr % arrowhead n 6866 3135 m 6893 3015 l 6812 3108 l col0 s % Polyline gs clippath 6879 2426 m 6933 2400 l 6866 2264 l 6893 2385 l 6812 2291 l cp eoclip n 6300 1200 m 6900 2400 l gs col0 s gr gr % arrowhead n 6812 2291 m 6893 2385 l 6866 2264 l col0 s % Polyline gs clippath 3589 1381 m 3631 1339 l 3524 1231 l 3588 1338 l 3481 1274 l cp eoclip n 3300 1050 m 3600 1350 l gs col0 s gr gr % arrowhead n 3481 1274 m 3588 1338 l 3524 1231 l col0 s % Polyline gs clippath 4768 1339 m 4810 1381 l 4918 1274 l 4812 1338 l 4875 1231 l cp eoclip n 5100 1050 m 4800 1350 l gs col0 s gr gr % arrowhead n 4875 1231 m 4812 1338 l 4918 1274 l col0 s % Polyline gs clippath 3631 4060 m 3589 4018 l 3481 4125 l 3588 4062 l 3524 4168 l cp eoclip n 3300 4350 m 3600 4050 l gs col0 s gr gr % arrowhead n 3524 4168 m 3588 4062 l 3481 4125 l col0 s % Polyline gs clippath 4810 4018 m 4768 4060 l 4875 4168 l 4812 4062 l 4918 4125 l cp eoclip n 5100 4350 m 4800 4050 l gs col0 s gr gr % arrowhead n 4918 4125 m 4812 4062 l 4875 4168 l col0 s % Polyline gs clippath 3126 1776 m 3145 1833 l 3289 1785 l 3166 1795 l 3270 1728 l cp eoclip n 3600 1650 m 3150 1800 l gs col0 s gr gr % arrowhead n 3270 1728 m 3166 1795 l 3289 1785 l col0 s % Polyline gs clippath 5254 1833 m 5273 1776 l 5129 1728 l 5234 1795 l 5110 1785 l cp eoclip n 4800 1650 m 5250 1800 l gs col0 s gr gr % arrowhead n 5110 1785 m 5234 1795 l 5129 1728 l col0 s % Polyline gs clippath 3145 3566 m 3126 3623 l 3270 3671 l 3166 3605 l 3289 3614 l cp eoclip n 3600 3750 m 3150 3600 l gs col0 s gr gr % arrowhead n 3289 3614 m 3166 3605 l 3270 3671 l col0 s % Polyline gs clippath 5273 3623 m 5254 3566 l 5110 3614 l 5234 3605 l 5129 3671 l cp eoclip n 4800 3750 m 5250 3600 l gs col0 s gr gr % arrowhead n 5129 3671 m 5234 3605 l 5110 3614 l col0 s % Polyline gs clippath 2115 2730 m 2115 2670 l 1963 2670 l 2083 2700 l 1963 2730 l cp eoclip n 1800 2700 m 2100 2700 l gs col0 s gr gr % arrowhead n 1963 2730 m 2083 2700 l 1963 2670 l col0 s % Polyline gs clippath 6285 2670 m 6285 2730 l 6437 2730 l 6317 2700 l 6437 2670 l cp eoclip n 6600 2700 m 6300 2700 l gs col0 s gr gr % arrowhead n 6437 2670 m 6317 2700 l 6437 2730 l col0 s % Polyline gs clippath 5115 2730 m 5115 2670 l 4963 2670 l 5083 2700 l 4963 2730 l cp eoclip n 4800 2700 m 5100 2700 l gs col0 s gr gr % arrowhead n 4963 2730 m 5083 2700 l 4963 2670 l col0 s % Polyline gs clippath 2433 3000 m 2379 2973 l 2312 3108 l 2393 3015 l 2366 3135 l cp eoclip n 2400 4200 m 2100 3600 l 2400 3000 l gs col0 s gr gr % arrowhead n 2366 3135 m 2393 3015 l 2312 3108 l col0 s % Polyline gs clippath 2379 2426 m 2433 2400 l 2366 2264 l 2393 2385 l 2312 2291 l cp eoclip n 2400 1200 m 2100 1800 l 2400 2400 l gs col0 s gr gr % arrowhead n 2312 2291 m 2393 2385 l 2366 2264 l col0 s % Polyline gs clippath 6020 2973 m 5966 3000 l 6033 3135 l 6007 3015 l 6087 3108 l cp eoclip n 6000 4200 m 6300 3600 l 6000 3000 l gs col0 s gr gr % arrowhead n 6087 3108 m 6007 3015 l 6033 3135 l col0 s % Polyline gs clippath 5966 2400 m 6020 2426 l 6087 2291 l 6007 2385 l 6033 2264 l cp eoclip n 6000 1200 m 6300 1800 l 6000 2400 l gs col0 s gr gr % arrowhead n 6033 2264 m 6007 2385 l 6087 2291 l col0 s % Polyline gs clippath 5406 1532 m 5422 1475 l 5276 1433 l 5384 1495 l 5260 1490 l cp eoclip n 3300 900 m 5400 1500 l gs col0 s gr gr % arrowhead n 5260 1490 m 5384 1495 l 5276 1433 l col0 s % Polyline gs clippath 2977 1475 m 2993 1532 l 3139 1490 l 3016 1495 l 3123 1433 l cp eoclip n 5100 900 m 3000 1500 l gs col0 s gr gr % arrowhead n 3123 1433 m 3016 1495 l 3139 1490 l col0 s % Polyline gs clippath 5422 3924 m 5406 3867 l 5260 3909 l 5384 3905 l 5276 3966 l cp eoclip n 3300 4500 m 5400 3900 l gs col0 s gr gr % arrowhead n 5276 3966 m 5384 3905 l 5260 3909 l col0 s % Polyline gs clippath 2993 3867 m 2977 3924 l 3123 3966 l 3016 3905 l 3139 3909 l cp eoclip n 5100 4500 m 3000 3900 l gs col0 s gr gr % arrowhead n 3139 3909 m 3016 3905 l 3123 3966 l col0 s % Polyline gs clippath 3600 2433 m 3626 2379 l 3491 2312 l 3585 2393 l 3464 2366 l cp eoclip n 3000 2100 m 3600 2400 l gs col0 s gr gr % arrowhead n 3464 2366 m 3585 2393 l 3491 2312 l col0 s % Polyline gs clippath 4773 2379 m 4800 2433 l 4935 2366 l 4815 2393 l 4908 2312 l cp eoclip n 5400 2100 m 4800 2400 l gs col0 s gr gr % arrowhead n 4908 2312 m 4815 2393 l 4935 2366 l col0 s % Polyline gs clippath 4800 2966 m 4773 3020 l 4908 3087 l 4815 3007 l 4935 3033 l cp eoclip n 5400 3300 m 4800 3000 l gs col0 s gr gr % arrowhead n 4935 3033 m 4815 3007 l 4908 3087 l col0 s % Polyline gs clippath 3626 3020 m 3600 2966 l 3464 3033 l 3585 3007 l 3491 3087 l cp eoclip n 3000 3300 m 3600 3000 l gs col0 s gr gr % arrowhead n 3491 3087 m 3585 3007 l 3464 3033 l col0 s % Polyline gs clippath 3609 2582 m 3619 2522 l 3470 2497 l 3584 2547 l 3460 2556 l cp eoclip n 1800 2550 m 2700 2400 l 3600 2550 l gs col0 s gr gr % arrowhead n 3460 2556 m 3584 2547 l 3470 2497 l col0 s % Polyline gs clippath 4790 2817 m 4780 2877 l 4929 2902 l 4816 2853 l 4939 2843 l cp eoclip n 6600 2850 m 5700 3000 l 4800 2850 l gs col0 s gr gr % arrowhead n 4939 2843 m 4816 2853 l 4929 2902 l col0 s % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 2400 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 3600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3000 3600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6000 4500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6900 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 1403 3205 a(Figure)27 b(3:)36 b(game)27 b(graph)f Fj(G)p Fn($1)p Fj(;)14 b Fn(3$.)515 3472 y Fm(ar)l(e)31 b(the)h(le)l(gal)g Fj(m)19 b Fi(\002)g Fj(n)31 b Fm(p)l(ositions,)i(and)f(which)h(has)f(a)f(dir)l(e)l(cte)l(d) h(e)l(dge)g Fj(p)26 b Fi(!)f Fj(q)34 b Fm(whenever)f(a)515 3572 y(white)d(or)g(black)h(move)g(fr)l(om)f(p)l(osition)h Fj(p)e Fm(r)l(esults)g(in)h(p)l(osition)h Fj(q)26 b Fi(6)p Fn(=)d Fj(p)p Fm(.)639 3751 y Fn(Note)d(that)g(w)n(e)g(exclude)g (self-lo)r(ops,)g(corresp)r(onding)e(to)i(single-stone)f(suicides,)i (whic)n(h)515 3851 y(are)26 b(prohibited)i(b)n(y)f(the)h(PSK)f(rule.)37 b(This)27 b(will)h(pro)n(v)n(e)e(useful)i(in)g(Lemma)f(1)g(b)r(elo)n (w.)639 3951 y(Figure)i(2)h(sho)n(ws)f Fj(G)p Fn($1)p Fj(;)14 b Fn(2$,)30 b(consisting)f(of)g(5)h(no)r(des)f(and)h(12)f (edges,)h(Figure)f(3)g(sho)n(ws)515 4050 y Fj(G)p Fn($1)p Fj(;)14 b Fn(3$,)30 b(consisting)f(of)h(15)e(no)r(des)i(and)f(42)g (edges,)h(while)g(Figure)f(4)g(sho)n(ws)g Fj(G)p Fn($2)p Fj(;)14 b Fn(2$)30 b(fac-)515 4150 y(tored)40 b(in)n(to)i (rotation/mirror)c(symmetry)j(classes.)76 b(Piet)42 b(Hut)g(observ)n (ed)d(that)j(these)515 4249 y(latter)33 b(t)n(w)n(o)g(graphs)f(are)h (the)h(only)f(ones)g(with)h(no)g(2-lo)r(ops.)53 b(W)-7 b(e)34 b(next)g(establish)g(some)515 4349 y(basic)27 b(prop)r(erties)f(of)i(Go)f(game)g(graphs.)515 4528 y Fg(Lemma)k(1)41 b Fm(Outgoing)25 b(e)l(dges)h(fr)l(om)g(a)g(p)l (osition)g(ar)l(e)g(in)f(1-1)h(c)l(orr)l(esp)l(ondenc)l(e)g(with)g (moves)515 4628 y(that)j(ar)l(e)i(not)e(single-stone)h(suicides.)639 4807 y Fg(Pr)n(oof.)75 b Fn(Giv)n(en)40 b(a)g(p)r(osition)g Fj(p)p Fn(,)j(eac)n(h)d(mo)n(v)n(e)f(uniquely)i(determines)f(a)g (resulting)515 4907 y(p)r(osition)35 b Fj(q)40 b Fn(and)35 b(hence)h(an)g(edge)f Fj(p)i Fi(!)g Fj(q)s Fn(.)62 b(It)36 b(remains)g(to)f(sho)n(w)g(the)i(con)n(v)n(erse;)h(that)515 5006 y(a)h(resulting)g(p)r(osition)h Fj(q)47 b Fi(6)p Fn(=)c Fj(p)c Fn(uniquely)h(determines)g(a)f(mo)n(v)n(e.)73 b(If)40 b Fj(q)j Fn(has)c(one)h(more)1926 5255 y(4)p eop end %%Page: 5 5 TeXDict begin 5 4 bop 515 3825 a @beginspecial 0 @llx 0 @lly 614 @urx 542 @ury 3401 @rwi @setspecial %%BeginDocument: G22.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: G22.fig %%Creator: fig2dev Version 3.2 Patchlevel 5-alpha5 %%CreationDate: Wed Nov 2 17:26:51 2005 %%For: tromp@amiga (John Tromp,,,) %%BoundingBox: 0 0 614 542 %Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 542 moveto 0 0 lineto 614 0 lineto 614 542 lineto closepath clip newpath -35.3 594.7 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Ellipse 7.500 slw n 4200 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 3900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 3900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline 0 slj 0 slc n 4200 4500 m 4500 4500 l 4500 4800 l 4200 4800 l cp gs col0 s gr % Polyline n 4200 3600 m 4500 3600 l 4500 3900 l 4200 3900 l cp gs col0 s gr % Polyline n 3300 3600 m 3600 3600 l 3600 3900 l 3300 3900 l cp gs col0 s gr % Polyline n 3300 4500 m 3600 4500 l 3600 4800 l 3300 4800 l cp gs col0 s gr % Polyline n 3105 3300 m 3000 3300 3000 4995 105 arcto 4 {pop} repeat 3000 5100 4695 5100 105 arcto 4 {pop} repeat 4800 5100 4800 3405 105 arcto 4 {pop} repeat 4800 3300 3105 3300 105 arcto 4 {pop} repeat cp gs col0 s gr % Ellipse n 1800 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 900 3900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 3900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 3900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 1800 3600 m 2100 3600 l 2100 3900 l 1800 3900 l cp gs col0 s gr % Polyline n 900 3600 m 1200 3600 l 1200 3900 l 900 3900 l cp gs col0 s gr % Polyline n 1800 4500 m 2100 4500 l 2100 4800 l 1800 4800 l cp gs col0 s gr % Polyline n 900 4500 m 1200 4500 l 1200 4800 l 900 4800 l cp gs col0 s gr % Polyline n 705 3300 m 600 3300 600 4995 105 arcto 4 {pop} repeat 600 5100 2295 5100 105 arcto 4 {pop} repeat 2400 5100 2400 3405 105 arcto 4 {pop} repeat 2400 3300 705 3300 105 arcto 4 {pop} repeat cp gs col0 s gr % Ellipse n 5100 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 5100 6000 m 5400 6000 l 5400 6300 l 5100 6300 l cp gs col0 s gr % Polyline n 6000 6000 m 6300 6000 l 6300 6300 l 6000 6300 l cp gs col0 s gr % Polyline n 5100 6900 m 5400 6900 l 5400 7200 l 5100 7200 l cp gs col0 s gr % Polyline n 6000 6900 m 6300 6900 l 6300 7200 l 6000 7200 l cp gs col0 s gr % Polyline n 4905 5700 m 4800 5700 4800 7395 105 arcto 4 {pop} repeat 4800 7500 6495 7500 105 arcto 4 {pop} repeat 6600 7500 6600 5805 105 arcto 4 {pop} repeat 6600 5700 4905 5700 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 7800 3600 m 8100 3600 l 8100 3900 l 7800 3900 l cp gs col0 s gr % Polyline n 6900 3600 m 7200 3600 l 7200 3900 l 6900 3900 l cp gs col0 s gr % Polyline n 6900 4500 m 7200 4500 l 7200 4800 l 6900 4800 l cp gs col0 s gr % Polyline n 7800 4500 m 8100 4500 l 8100 4800 l 7800 4800 l cp gs col0 s gr % Polyline n 6705 3300 m 6600 3300 6600 4995 105 arcto 4 {pop} repeat 6600 5100 8295 5100 105 arcto 4 {pop} repeat 8400 5100 8400 3405 105 arcto 4 {pop} repeat 8400 3300 6705 3300 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 9105 3300 m 9000 3300 9000 4995 105 arcto 4 {pop} repeat 9000 5100 10695 5100 105 arcto 4 {pop} repeat 10800 5100 10800 3405 105 arcto 4 {pop} repeat 10800 3300 9105 3300 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 9300 4500 m 9600 4500 l 9600 4800 l 9300 4800 l cp gs col0 s gr % Polyline n 10200 4500 m 10500 4500 l 10500 4800 l 10200 4800 l cp gs col0 s gr % Polyline n 9300 3600 m 9600 3600 l 9600 3900 l 9300 3900 l cp gs col0 s gr % Polyline n 10200 3600 m 10500 3600 l 10500 3900 l 10200 3900 l cp gs col0 s gr % Ellipse n 7500 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8700 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7800 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 9600 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 10500 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 10200 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 9300 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 7500 6000 m 7800 6000 l 7800 6300 l 7500 6300 l cp gs col0 s gr % Polyline n 8400 6000 m 8700 6000 l 8700 6300 l 8400 6300 l cp gs col0 s gr % Polyline n 8400 6900 m 8700 6900 l 8700 7200 l 8400 7200 l cp gs col0 s gr % Polyline n 7500 6900 m 7800 6900 l 7800 7200 l 7500 7200 l cp gs col0 s gr % Polyline n 9300 6000 m 9600 6000 l 9600 6300 l 9300 6300 l cp gs col0 s gr % Polyline n 10200 6000 m 10500 6000 l 10500 6300 l 10200 6300 l cp gs col0 s gr % Polyline n 9300 6900 m 9600 6900 l 9600 7200 l 9300 7200 l cp gs col0 s gr % Polyline n 10200 6900 m 10500 6900 l 10500 7200 l 10200 7200 l cp gs col0 s gr % Polyline n 7305 5700 m 7200 5700 7200 7395 105 arcto 4 {pop} repeat 7200 7500 10695 7500 105 arcto 4 {pop} repeat 10800 7500 10800 5805 105 arcto 4 {pop} repeat 10800 5700 7305 5700 105 arcto 4 {pop} repeat cp gs col0 s gr % Ellipse n 3600 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 900 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 7200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 3600 6000 m 3900 6000 l 3900 6300 l 3600 6300 l cp gs col0 s gr % Polyline n 2700 6000 m 3000 6000 l 3000 6300 l 2700 6300 l cp gs col0 s gr % Polyline n 3600 6900 m 3900 6900 l 3900 7200 l 3600 7200 l cp gs col0 s gr % Polyline n 2700 6900 m 3000 6900 l 3000 7200 l 2700 7200 l cp gs col0 s gr % Polyline n 1800 6000 m 2100 6000 l 2100 6300 l 1800 6300 l cp gs col0 s gr % Polyline n 1800 6900 m 2100 6900 l 2100 7200 l 1800 7200 l cp gs col0 s gr % Polyline n 900 6900 m 1200 6900 l 1200 7200 l 900 7200 l cp gs col0 s gr % Polyline n 900 6000 m 1200 6000 l 1200 6300 l 900 6300 l cp gs col0 s gr % Polyline n 705 5700 m 600 5700 600 7395 105 arcto 4 {pop} repeat 600 7500 4095 7500 105 arcto 4 {pop} repeat 4200 7500 4200 5805 105 arcto 4 {pop} repeat 4200 5700 705 5700 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 9600 1200 m 9900 1200 l 9900 1500 l 9600 1500 l cp gs col0 s gr % Polyline n 8700 1200 m 9000 1200 l 9000 1500 l 8700 1500 l cp gs col0 s gr % Polyline n 8700 2100 m 9000 2100 l 9000 2400 l 8700 2400 l cp gs col0 s gr % Polyline n 9600 2100 m 9900 2100 l 9900 2400 l 9600 2400 l cp gs col0 s gr % Polyline n 8505 900 m 8400 900 8400 2595 105 arcto 4 {pop} repeat 8400 2700 10095 2700 105 arcto 4 {pop} repeat 10200 2700 10200 1005 105 arcto 4 {pop} repeat 10200 900 8505 900 105 arcto 4 {pop} repeat cp gs col0 s gr % Ellipse n 1800 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1500 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 2100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1500 2100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 2100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1800 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 2100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 2400 1200 m 2700 1200 l 2700 1500 l 2400 1500 l cp gs col0 s gr % Polyline n 1500 1200 m 1800 1200 l 1800 1500 l 1500 1500 l cp gs col0 s gr % Polyline n 1500 2100 m 1800 2100 l 1800 2400 l 1500 2400 l cp gs col0 s gr % Polyline n 2400 2100 m 2700 2100 l 2700 2400 l 2400 2400 l cp gs col0 s gr % Polyline n 1305 900 m 1200 900 1200 2595 105 arcto 4 {pop} repeat 1200 2700 2895 2700 105 arcto 4 {pop} repeat 3000 2700 3000 1005 105 arcto 4 {pop} repeat 3000 900 1305 900 105 arcto 4 {pop} repeat cp gs col0 s gr % Ellipse n 3900 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 3900 1200 m 4200 1200 l 4200 1500 l 3900 1500 l cp gs col0 s gr % Polyline n 4800 1200 m 5100 1200 l 5100 1500 l 4800 1500 l cp gs col0 s gr % Polyline n 3705 900 m 3600 900 3600 1695 105 arcto 4 {pop} repeat 3600 1800 5295 1800 105 arcto 4 {pop} repeat 5400 1800 5400 1005 105 arcto 4 {pop} repeat 5400 900 3705 900 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 6300 1200 m 6600 1200 l 6600 1500 l 6300 1500 l cp gs col0 s gr % Polyline n 7200 1200 m 7500 1200 l 7500 1500 l 7200 1500 l cp gs col0 s gr % Polyline n 6105 900 m 6000 900 6000 1695 105 arcto 4 {pop} repeat 6000 1800 7695 1800 105 arcto 4 {pop} repeat 7800 1800 7800 1005 105 arcto 4 {pop} repeat 7800 900 6105 900 105 arcto 4 {pop} repeat cp gs col0 s gr % Ellipse n 4500 8700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 8700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 9300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4500 9300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 9300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 8700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6900 8700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6900 9300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline gs clippath 2553 4170 m 2385 4170 l 2385 4230 l 2553 4230 l 2553 4230 l 2433 4200 l 2553 4170 l cp eoclip n 3000 4200 m 2400 4200 l gs col0 s gr gr % arrowhead n 2553 4170 m 2433 4200 l 2553 4230 l col0 s % Polyline gs clippath 8847 4230 m 9015 4230 l 9015 4170 l 8847 4170 l 8847 4170 l 8967 4200 l 8847 4230 l cp eoclip n 8400 4200 m 9000 4200 l gs col0 s gr gr % arrowhead n 8847 4230 m 8967 4200 l 8847 4170 l col0 s % Polyline gs clippath 9870 5547 m 9870 5715 l 9930 5715 l 9930 5547 l 9930 5547 l 9900 5667 l 9870 5547 l cp eoclip n 9900 5100 m 9900 5700 l gs col0 s gr gr % arrowhead n 9870 5547 m 9900 5667 l 9930 5547 l col0 s % Polyline gs clippath 1470 5547 m 1470 5715 l 1530 5715 l 1530 5547 l 1530 5547 l 1500 5667 l 1470 5547 l cp eoclip n 1500 5100 m 1500 5700 l gs col0 s gr gr % arrowhead n 1470 5547 m 1500 5667 l 1530 5547 l col0 s % Polyline gs clippath 4230 1953 m 4230 1785 l 4170 1785 l 4170 1953 l 4170 1953 l 4200 1833 l 4230 1953 l cp eoclip n 4200 3300 m 4200 1800 l gs col0 s gr gr % arrowhead n 4230 1953 m 4200 1833 l 4170 1953 l col0 s % Polyline gs clippath 7230 1953 m 7230 1785 l 7170 1785 l 7170 1953 l 7170 1953 l 7200 1833 l 7230 1953 l cp eoclip n 7200 3300 m 7200 1800 l gs col0 s gr gr % arrowhead n 7230 1953 m 7200 1833 l 7170 1953 l col0 s % Polyline gs clippath 9630 2853 m 9630 2685 l 9570 2685 l 9570 2853 l 9570 2853 l 9600 2733 l 9630 2853 l cp eoclip n 9600 3300 m 9600 2700 l gs col0 s gr gr % arrowhead n 9630 2853 m 9600 2733 l 9570 2853 l col0 s % Polyline gs clippath 1830 2853 m 1830 2685 l 1770 2685 l 1770 2853 l 1770 2853 l 1800 2733 l 1830 2853 l cp eoclip n 1800 3300 m 1800 2700 l gs col0 s gr gr % arrowhead n 1830 2853 m 1800 2733 l 1770 2853 l col0 s % Polyline gs clippath 4932 3217 m 4775 3277 l 4796 3333 l 4953 3273 l 4953 3273 l 4831 3288 l 4932 3217 l cp eoclip n 8400 1950 m 4800 3300 l gs col0 s gr gr % arrowhead n 4932 3217 m 4831 3288 l 4953 3273 l col0 s % Polyline gs clippath 6446 3273 m 6603 3333 l 6624 3277 l 6467 3217 l 6467 3217 l 6569 3288 l 6446 3273 l cp eoclip n 3000 1950 m 6600 3300 l gs col0 s gr gr % arrowhead n 6446 3273 m 6569 3288 l 6467 3217 l col0 s % Polyline gs clippath 6086 5570 m 5968 5689 l 6010 5731 l 6129 5613 l 6129 5613 l 6023 5677 l 6086 5570 l cp eoclip n 6600 5100 m 6000 5700 l gs col0 s gr gr % arrowhead n 6086 5570 m 6023 5677 l 6129 5613 l col0 s % Polyline gs clippath 5270 5613 m 5389 5731 l 5431 5689 l 5313 5570 l 5313 5570 l 5377 5677 l 5270 5613 l cp eoclip n 4800 5100 m 5400 5700 l gs col0 s gr gr % arrowhead n 5270 5613 m 5377 5677 l 5313 5570 l col0 s % Polyline gs clippath 4353 6570 m 4185 6570 l 4185 6630 l 4353 6630 l 4353 6630 l 4233 6600 l 4353 6570 l cp eoclip n 4800 6600 m 4200 6600 l gs col0 s gr gr % arrowhead n 4353 6570 m 4233 6600 l 4353 6630 l col0 s % Polyline gs clippath 7047 6630 m 7215 6630 l 7215 6570 l 7047 6570 l 7047 6570 l 7167 6600 l 7047 6630 l cp eoclip n 6600 6600 m 7200 6600 l gs col0 s gr gr % arrowhead n 7047 6630 m 7167 6600 l 7047 6570 l col0 s % Polyline gs clippath 7380 7653 m 7380 7485 l 7320 7485 l 7320 7653 l 7320 7653 l 7350 7533 l 7380 7653 l cp eoclip n 7350 8100 m 7350 7500 l gs col0 s gr gr % arrowhead n 7380 7653 m 7350 7533 l 7320 7653 l col0 s % Polyline gs clippath 4080 7653 m 4080 7485 l 4020 7485 l 4020 7653 l 4020 7653 l 4050 7533 l 4080 7653 l cp eoclip n 4050 8100 m 4050 7500 l gs col0 s gr gr % arrowhead n 4080 7653 m 4050 7533 l 4020 7653 l col0 s % Polyline gs clippath 8730 2853 m 8730 2685 l 8670 2685 l 8670 2853 l 8670 2853 l 8700 2733 l 8730 2853 l cp eoclip n 8700 5700 m 8700 2700 l gs col0 s gr gr % arrowhead n 8730 2853 m 8700 2733 l 8670 2853 l col0 s % Polyline gs clippath 2730 2853 m 2730 2685 l 2670 2685 l 2670 2853 l 2670 2853 l 2700 2733 l 2730 2853 l cp eoclip n 2700 5700 m 2700 2700 l gs col0 s gr gr % arrowhead n 2730 2853 m 2700 2733 l 2670 2853 l col0 s % Polyline gs clippath 2555 5089 m 2388 5068 l 2381 5127 l 2548 5148 l 2548 5148 l 2433 5104 l 2555 5089 l cp eoclip n 7200 5700 m 2400 5100 l gs col0 s gr gr % arrowhead n 2555 5089 m 2433 5104 l 2548 5148 l col0 s % Polyline gs clippath 8851 5148 m 9018 5127 l 9011 5068 l 8844 5089 l 8844 5089 l 8967 5104 l 8851 5148 l cp eoclip n 4200 5700 m 9000 5100 l gs col0 s gr gr % arrowhead n 8851 5148 m 8967 5104 l 8844 5089 l col0 s % Polyline gs clippath 5130 1953 m 5130 1785 l 5070 1785 l 5070 1953 l 5070 1953 l 5100 1833 l 5130 1953 l cp eoclip n 4575 8100 m 4575 5850 l 5100 4950 l 5100 1800 l gs col0 s gr gr % arrowhead n 5130 1953 m 5100 1833 l 5070 1953 l col0 s % Polyline gs clippath 4395 7947 m 4395 8115 l 4455 8115 l 4455 7947 l 4455 7947 l 4425 8067 l 4395 7947 l cp eoclip n 4425 5100 m 4425 8100 l gs col0 s gr gr % arrowhead n 4395 7947 m 4425 8067 l 4455 7947 l col0 s % Polyline gs clippath 6945 7947 m 6945 8115 l 7005 8115 l 7005 7947 l 7005 7947 l 6975 8067 l 6945 7947 l cp eoclip n 6975 5100 m 6975 8100 l gs col0 s gr gr % arrowhead n 6945 7947 m 6975 8067 l 7005 7947 l col0 s % Polyline gs clippath 6330 1953 m 6330 1785 l 6270 1785 l 6270 1953 l 6270 1953 l 6300 1833 l 6330 1953 l cp eoclip n 6825 8100 m 6825 5850 l 6300 4950 l 6300 1800 l gs col0 s gr gr % arrowhead n 6330 1953 m 6300 1833 l 6270 1953 l col0 s % Polyline n 6000 8400 m 6300 8400 l 6300 8700 l 6000 8700 l cp gs col0 s gr % Polyline n 6900 8400 m 7200 8400 l 7200 8700 l 6900 8700 l cp gs col0 s gr % Polyline n 6900 9300 m 7200 9300 l 7200 9600 l 6900 9600 l cp gs col0 s gr % Polyline n 6000 9300 m 6300 9300 l 6300 9600 l 6000 9600 l cp gs col0 s gr % Polyline n 5100 8400 m 5400 8400 l 5400 8700 l 5100 8700 l cp gs col0 s gr % Polyline n 4200 8400 m 4500 8400 l 4500 8700 l 4200 8700 l cp gs col0 s gr % Polyline n 5100 9300 m 5400 9300 l 5400 9600 l 5100 9600 l cp gs col0 s gr % Polyline n 4200 9300 m 4500 9300 l 4500 9600 l 4200 9600 l cp gs col0 s gr % Polyline n 4005 8100 m 3900 8100 3900 9795 105 arcto 4 {pop} repeat 3900 9900 7395 9900 105 arcto 4 {pop} repeat 7500 9900 7500 8205 105 arcto 4 {pop} repeat 7500 8100 4005 8100 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline gs clippath 5246 3273 m 5403 3333 l 5424 3277 l 5267 3217 l 5267 3217 l 5369 3288 l 5246 3273 l cp eoclip n 3000 2400 m 5400 3300 l gs col0 s gr gr % arrowhead n 5246 3273 m 5369 3288 l 5267 3217 l col0 s % Polyline gs clippath 6132 3217 m 5975 3277 l 5996 3333 l 6153 3273 l 6153 3273 l 6031 3288 l 6132 3217 l cp eoclip n 8400 2400 m 6000 3300 l gs col0 s gr gr % arrowhead n 6132 3217 m 6031 3288 l 6153 3273 l col0 s % Polyline gs clippath 3153 1320 m 2985 1320 l 2985 1380 l 3153 1380 l 3153 1380 l 3033 1350 l 3153 1320 l cp eoclip n 3600 1350 m 3000 1350 l gs col0 s gr gr % arrowhead n 3153 1320 m 3033 1350 l 3153 1380 l col0 s % Polyline gs clippath 8247 1380 m 8415 1380 l 8415 1320 l 8247 1320 l 8247 1320 l 8367 1350 l 8247 1380 l cp eoclip n 7800 1350 m 8400 1350 l gs col0 s gr gr % arrowhead n 8247 1380 m 8367 1350 l 8247 1320 l col0 s % Polyline n 5505 3300 m 5400 3300 5400 3795 105 arcto 4 {pop} repeat 5400 3900 5895 3900 105 arcto 4 {pop} repeat 6000 3900 6000 3405 105 arcto 4 {pop} repeat 6000 3300 5505 3300 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 5550 3450 m 5850 3450 l 5850 3750 l 5550 3750 l cp gs col0 s gr % Polyline gs clippath 4953 3570 m 4785 3570 l 4785 3630 l 4953 3630 l 4953 3630 l 4833 3600 l 4953 3570 l cp eoclip n 5400 3600 m 4800 3600 l gs col0 s gr gr % arrowhead n 4953 3570 m 4833 3600 l 4953 3630 l col0 s % Polyline gs clippath 6447 3630 m 6615 3630 l 6615 3570 l 6447 3570 l 6447 3570 l 6567 3600 l 6447 3630 l cp eoclip n 6000 3600 m 6600 3600 l gs col0 s gr gr % arrowhead n 6447 3630 m 6567 3600 l 6447 3570 l col0 s % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 5400 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6000 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6000 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 4500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7800 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7800 4500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9300 4500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 10500 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 10200 4800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9600 3600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9600 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 10200 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 10200 4500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9600 4500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7800 6000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8400 7200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7800 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8400 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8400 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7800 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8700 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 10500 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 10200 6000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9300 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9600 7200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9600 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 10200 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 10200 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9600 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3600 7200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3000 6000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1800 6000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 7200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 900 6300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9000 1200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8700 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9600 1200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9900 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9900 2100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9600 2400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8700 2100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9000 2400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9000 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9600 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9600 2100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9000 2100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 1200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6600 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 1200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 8400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5100 9600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4200 9300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 9600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6000 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6900 8400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 9300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%Trailer %EOF %%EndDocument @endspecial 183 x Fn(Figure)33 b(4:)48 b(game)33 b(graph)g Fj(G)p Fn($2)p Fj(;)14 b Fn(2$)33 b(with)h(no)r(des/edges)e(group)r (ed)h(in)n(to)g(rotation/mirror)515 4107 y(symmetry)27 b(classes.)1926 5255 y(5)p eop end %%Page: 6 6 TeXDict begin 6 5 bop 515 523 a Fn(stone)26 b(of)g(color)f Fj(c)p Fn(,)h(sa)n(y)f(at)h(p)r(osition)g($)p Fj(x;)14 b(y)s Fn($,)27 b(and)g(the)f(same)g(or)f(few)n(er)h(stones)f(of)h(opp) r(osite)515 623 y(color,)33 b(then)h(that)g(w)n(as)f(the)h(mo)n(v)n(e.) 53 b(If)34 b Fj(q)j Fn(has)c(few)n(er)f(stones)h(of)h(color)e Fj(c)h Fn(and)h(the)g(same)515 722 y(n)n(um)n(b)r(er)28 b(of)g(stones)g(of)g(opp)r(osite)g(color,)f(then)i(the)f(missing)g (stones)g(m)n(ust)g(form)g(a)g(string)515 822 y(with)h(1)g(lib)r(ert)n (y)-7 b(,)29 b(and)g(the)g(mo)n(v)n(e)f(w)n(as)g(a)g(suicide.)41 b(It)29 b(can)g(b)r(e)g(seen)g(that)g(these)g(cases)f(are)515 922 y(exhaustiv)n(e,)k(the)h(former)f(co)n(v)n(ering)e(all)i (non-suicide)g(mo)n(v)n(es,)g(and)g(the)h(latter)f(co)n(v)n(ering)515 1021 y(all)27 b(m)n(ultiple-stone)g(suicides.)1864 b Fi(\017)515 1233 y Fg(Cor)n(ollar)-6 b(y)31 b(1)41 b Fm(A)29 b(no)l(de)i(with)f Fj(k)i Fm(empty)f(p)l(oints)f(has)g(outde)l (gr)l(e)l(e)g(at)g(most)f Fn(2)p Fj(k)s Fm(.)515 1409 y Fg(Cor)n(ollar)-6 b(y)31 b(2)41 b Fm(Each)31 b(e)l(dge)g(has)f(an)g (implie)l(d)h(black)g(or)f(white)h(c)l(olor.)639 1586 y Fn(Recall)c(that)h(a)g Fm(simple)g Fn(path)g(is)g(one)f(that)h(has)f (no)g(rep)r(eated)g(v)n(ertices.)515 1762 y Fg(Lemma)k(2)41 b Fm(Go)27 b(games)f(ar)l(e)g(in)g(1-1)g(c)l(orr)l(esp)l(ondenc)l(e)h (with)f(simple)g(p)l(aths)h(starting)e(at)h(the)515 1862 y(empty)k(p)l(osition)h(in)f(the)f(game)i(gr)l(aph.)639 2038 y Fg(Pr)n(oof.)i Fn(The)19 b(previous)f(Lemma)g(sho)n(ws)g(that)g (an)n(y)g(path)h(corresp)r(onds)e(to)h(a)h(sequence)515 2138 y(of)g(mo)n(v)n(es,)h(not)g(necessarily)d(alternating)i(in)h (color.)32 b(Inserting)19 b(a)g(single)g(pass)g(b)r(efore)g(ev)n(ery) 515 2237 y(out-of-turn)25 b(mo)n(v)n(e,)h(and)g(2)g(passes)f(at)h(the)h (end,)g(pro)r(duces)f(a)g(prop)r(erly)f(alternating)g(and)515 2337 y(ending)32 b(game.)50 b(The)33 b(starting)e(no)r(de)h(ensures)g (that)g(the)h(game)f(starts)f(from)h(an)g(empt)n(y)515 2436 y(b)r(oard,)21 b(while)f(simplicit)n(y)g(of)g(the)h(path)f (ensures)g(that)g(eac)n(h)f(mo)n(v)n(e)g(is)i(legal.)33 b(F)-7 b(urthermore,)515 2536 y(since)23 b(an)n(y)h(game)f(can)g(b)r(e) h(stripp)r(ed)h(of)f(its)g(passes)e(to)i(pro)r(duce)g(the)g(corresp)r (onding)e(path,)515 2636 y(this)28 b(is)f(a)g(bijection.)2174 b Fi(\017)639 2771 y Fn(The)39 b(ab)r(o)n(v)n(e)f(Lemma)h(applies)g (only)g(to)g(rules)f(with)i(P)n(ositional)d(Sup)r(erKo.)71 b(With)515 2871 y(Situational)26 b(Sup)r(erKo,)f(the)i(corresp)r (onding)d(paths)i(are)f(not)h(necessarily)e(simple,)j(and)e(a)515 2970 y(p)r(osition)i(can)g(b)r(e)h(visited)g(t)n(wice)f($once)h(b)n(y) f(eac)n(h)g(pla)n(y)n(er$.)515 3147 y Fg(Lemma)k(3)41 b Fm(The)31 b(game)g(gr)l(aph)g(is)f(str)l(ongly)f(c)l(onne)l(cte)l(d.) 639 3323 y Fg(Pr)n(oof.)47 b Fn(Ob)n(viously)29 b(w)n(e)i(can)f(reac)n (h)g(an)n(y)g(p)r(osition)h(from)g(the)g(empt)n(y)g(b)r(oard,)g(so)g (it)515 3422 y(su\016ces)h(to)g(sho)n(w)f(that)i(w)n(e)f(can)g(reac)n (h)f(the)i(empt)n(y)f(p)r(osition)g(from)g(an)n(y)g(p)r(osition.)51 b(W)-7 b(e)515 3522 y(eliminate)32 b(strings)g(one)g(b)n(y)g(one,)h (without)g(ev)n(er)f(creating)f(new)h(strings.)51 b(T)-7 b(o)32 b(eliminate)515 3622 y(a)f(string,)i(its)f(o)n(wner)f(rep)r (eatedly)h(pla)n(ys)f(on)h(its)g(lib)r(erties)g(while)g(his)g(opp)r (onen)n(t)g(passes.)515 3721 y(Some)37 b(opp)r(onen)n(t)g(strings)f(ma) n(y)g(get)h(captured)g(in)h(the)f(pro)r(cess,)i(but)f(ultimately)-7 b(,)40 b(the)515 3821 y(string)27 b(itself)h(will)g(commit)f(suicide.) 1661 b Fi(\017)639 3956 y Fn(Note)29 b(that)f(this)h(result)e(dep)r (ends)i(on)f(the)h(p)r(ossibilit)n(y)e(of)i(suicide,)f(and)g(fails)g (to)g(hold)515 4056 y(for)g(alternativ)n(e)f(rulesets,)i(suc)n(h)f(as)h (the)g(Japanese)e(rules)h(of)h(Go,)g(whic)n(h)f(forbid)h(suicide.)515 4156 y(Under)e(suc)n(h)h(rules,)f(a)g(sligh)n(tly)g(w)n(eak)n(er)f (prop)r(ert)n(y)g(can)h(b)r(e)h(sho)n(wn.)515 4332 y Fg(Lemma)j(4)41 b Fm(On)24 b(al)t(l)h(b)l(o)l(ar)l(ds)f(exc)l(ept)g Fn(1)6 b Fi(\002)g Fn(1)p Fm(,)24 b Fn(1)6 b Fi(\002)g Fn(2)22 b Fm(and)i Fn(2)6 b Fi(\002)g Fn(1)p Fm(,)24 b(the)g(game)g(sub)l(gr)l(aph)h(obtaine)l(d)515 4431 y(by)30 b(r)l(emoving)g(the)g(empty)g(p)l(osition)h(and)g(al)t(l)f (suicide)h(e)l(dges)g(is)f(str)l(ongly)g(c)l(onne)l(cte)l(d.)639 4608 y Fg(Pr)n(oof.)k Fn(First)22 b(note)f(that)h Fj(G)p Fn($1)p Fj(;)14 b Fn(1$)22 b(has)f(no)g(suicide-edges)g(to)g(remo)n (v)n(e,)g(while)h Fj(G)p Fn($1)p Fj(;)14 b Fn(2$)515 4707 y(breaks)19 b(in)n(to)i(2)g(comp)r(onen)n(ts)f(when)h(remo)n(ving) f(the)h(empt)n(y)g(p)r(osition.)35 b(Ob)n(viously)-7 b(,)21 b(w)n(e)f(can)515 4807 y(reac)n(h)31 b(an)n(y)h(p)r(osition)h (from)f(a)g(suitable)h(single-stone)e(p)r(osition,)j(so)e(it)h (su\016ces)f(to)h(sho)n(w)515 4907 y(that)39 b(w)n(e)g(can)g(reac)n(h)f (ev)n(ery)g(single-stone)g(p)r(osition)h(from)g(an)n(y)g(p)r(osition.) 71 b(First,)42 b(one)515 5006 y(pla)n(y)n(er,)35 b(sa)n(y)f(blac)n(k,)i (rep)r(eatedly)e(pla)n(ys)g(on)h(a)f(lib)r(ert)n(y)h(of)g(its)g (strings.)58 b(When)36 b(all)e(suc)n(h)1926 5255 y(6)p eop end %%Page: 7 7 TeXDict begin 7 6 bop 515 1449 a @beginspecial 0 @llx 0 @lly 370 @urx 158 @ury 2834 @rwi @setspecial %%BeginDocument: partial.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: partial.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Wed Sep 6 15:22:53 2006 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 370 158 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 158 moveto 0 0 lineto 370 0 lineto 370 158 lineto closepath clip newpath -18.0 279.4 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Ellipse 7.500 slw n 1800 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1500 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 900 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1500 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 900 4200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1500 3900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 4500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 4200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 2700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 3900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 3900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 4500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 900 2700 m 1500 2700 l 1500 4500 l 900 4500 l cp gs col0 s gr % Polyline n 1200 2700 m 1200 4500 l gs col0 s gr % Polyline n 900 3000 m 1800 3000 l gs col0 s gr % Polyline n 900 3300 m 1800 3300 l gs col0 s gr % Polyline n 3300 2700 m 3900 2700 l 3900 4500 l 3300 4500 l cp gs col0 s gr % Polyline n 3600 2700 m 3600 4500 l gs col0 s gr % Polyline n 3300 3000 m 4200 3000 l gs col0 s gr % Polyline n 3300 3300 m 4200 3300 l gs col0 s gr % Polyline n 6150 2700 m 5400 3000 l 6150 3300 l gs col0 s gr % Polyline n 6150 3000 m 5850 3000 l gs col0 s gr % Polyline n 6300 2700 m 6300 3300 l 6000 3600 l 6000 4500 l gs col0 s gr % Polyline n 5850 3600 m 5400 3750 l 5850 3900 l gs col0 s gr /Times-Roman ff 180.00 scf sf 300 2775 m gs 1 -1 sc (0) col0 sh gr /Times-Roman ff 180.00 scf sf 300 3075 m gs 1 -1 sc (1) col0 sh gr /Times-Roman ff 180.00 scf sf 300 3375 m gs 1 -1 sc (2) col0 sh gr /Times-Roman ff 180.00 scf sf 300 3675 m gs 1 -1 sc (3) col0 sh gr /Times-Roman ff 180.00 scf sf 300 4575 m gs 1 -1 sc (6) col0 sh gr /Times-Roman ff 180.00 scf sf 300 4275 m gs 1 -1 sc (5) col0 sh gr /Times-Roman ff 180.00 scf sf 300 3975 m gs 1 -1 sc (4) col0 sh gr /Times-Roman ff 180.00 scf sf 825 2175 m gs 1 -1 sc (0) col0 sh gr /Times-Roman ff 180.00 scf sf 1125 2175 m gs 1 -1 sc (1) col0 sh gr /Times-Roman ff 180.00 scf sf 1425 2175 m gs 1 -1 sc (2) col0 sh gr /Times-Roman ff 180.00 scf sf 1725 2175 m gs 1 -1 sc (3) col0 sh gr /Times-Roman ff 180.00 scf sf 3225 2175 m gs 1 -1 sc (0) col0 sh gr /Times-Roman ff 180.00 scf sf 3525 2175 m gs 1 -1 sc (1) col0 sh gr /Times-Roman ff 180.00 scf sf 3825 2175 m gs 1 -1 sc (2) col0 sh gr /Times-Roman ff 180.00 scf sf 4125 2175 m gs 1 -1 sc (3) col0 sh gr % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 900 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1500 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1800 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 900 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 900 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1500 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1800 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4200 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4200 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1500 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 4500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3600 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3600 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3300 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3300 3600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3300 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3600 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 900 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6000 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 568 1631 a Fn(Figure)27 b(5:)37 b(Tw)n(o)26 b(partial)h(p)r(ositions)g(up)h(to)g($3)p Fj(;)14 b Fn(3$)27 b(and)g(their)h(common)f(b)r(order)g(state.)515 1901 y(pla)n(ys)22 b(result)i(in)g(suicides,)g(the)g(other)f(pla)n(y)n (er,)g(white,)i(can)e(pro)r(ceed)g(to)g(capture)h(all)f(blac)n(k)515 2001 y(strings.)56 b(Next,)37 b(white)e(can)f(pla)n(y)g(un)n(til)h(she) f(has)g Fj(mn)23 b Fi(\000)g Fn(1)34 b(stones,)h(whic)n(h)g(blac)n(k)f (then)515 2100 y(captures.)h(Giv)n(en)23 b(that)i Fj(mn)d Fi(\025)h Fn(3,)h(w)n(e)g(can)g(rep)r(eat)f(this)i(last)e(phase)h(to)g (lead)f(to)h(a)g(capture)515 2200 y(b)n(y)j(the)h(desired)f(color)f(on) i(the)g(desired)f(p)r(oin)n(t.)1326 b Fi(\017)515 2510 y Fo(4)134 b(Coun)l(ting)46 b(legal)h(p)t(ositions)515 2692 y Fn(The)28 b(simplest)h(w)n(a)n(y)e(to)h(coun)n(t)g Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($,)29 b(the)f(n)n(um)n(b)r(er)g(of)h (legal)e Fj(m)19 b Fi(\002)g Fj(n)28 b Fn(p)r(ositions,)g(is)g(b)n(y) 515 2792 y(brute)c(force,)h(just)g(trying)f(all)h(3)1515 2762 y Fk(mn)1643 2792 y Fn(p)r(ositions)f(and)h(testing)g(eac)n(h)e (one)i(for)f(legalit)n(y)-7 b(.)35 b(Ho)n(w-)515 2891 y(ev)n(er,)24 b(a)h(5)13 b Fi(\002)g Fn(5)23 b(b)r(oard)h(already)f (has)i(o)n(v)n(er)e(400)g(billion)i(p)r(ossible)g(p)r(ositions,)g(and)f (9)13 b Fi(\002)g Fn(9)24 b(has)515 2991 y(o)n(v)n(er)29 b(10)780 2961 y Fh(38)850 2991 y Fn(.)48 b(Instead,)32 b(w)n(e)f(establish)g(a)g(corresp)r(ondence)f(b)r(et)n(w)n(een)h(legal) f(p)r(ositions)h(and)515 3091 y(paths)c(in)h(the)g(so)f(called)g Fm(b)l(or)l(der)k(state)e(gr)l(aph)p Fn(,)g(whose)e(size)g(is)g(m)n(uc) n(h)h(more)f(manageable.)515 3190 y(The)36 b(problem)f(th)n(us)h (reduces)g(to)g(that)g(of)g(coun)n(ting)f(paths)h(of)g(a)g(certain)f (length)h(in)g(a)515 3290 y(graph,)27 b(whic)n(h)h(can)g(b)r(e)g(done)g (e\016cien)n(tly)g(b)n(y)g(the)h(metho)r(d)f(of)h(Dynamic)f (Programming.)515 3390 y(First)k(w)n(e)h(in)n(tro)r(duce)f(the)h (notion)f(of)h(partial)f(b)r(oards,)h(from)f(whic)n(h)h(the)g(b)r (order)f(states)515 3489 y(naturally)26 b(arise.)515 3722 y Fe(4.1)112 b(P)m(artial)37 b(Boards)515 3875 y Fn(Recall)28 b(that)h(w)n(e)g(n)n(um)n(b)r(er)f(the)h(p)r(oin)n(ts)g ($)p Fj(x;)14 b(y)s Fn($)26 b Fi(2)f(f)p Fn(0)p Fj(;)14 b(:)g(:)g(:)f(;)h(n)19 b Fi(\000)g Fn(1)p Fi(g)f(\002)h(f)p Fn(0)p Fj(;)14 b(:)g(:)g(:)e(;)i(m)19 b Fi(\000)g Fn(1)p Fi(g)p Fn(.)40 b(W)-7 b(e)515 3975 y(picture)25 b(a)g(go)f(b)r(oard)g (with)i(the)g(p)r(oin)n(t)f($0)p Fj(;)14 b Fn(0$)25 b(in)g(the)h(top-left,)g Fj(x)p Fn(-co)r(ordinates)e(increasing)515 4074 y(to)40 b(the)i(righ)n(t,)h(and)e Fj(y)s Fn(-co)r(ordinates)d (increasing)i(do)n(wn)n(w)n(ard.)74 b(F)-7 b(or)40 b(0)45 b Fi(\024)f Fj(x)i(<)f(n)40 b Fn(and)515 4174 y(0)26 b Fi(\024)g Fj(y)k(<)c(m)p Fn(,)31 b(let)f(a)f(partial)g(go)g(b)r(oard) g(up)h(to)g(column)g Fj(x)g Fn(and)g(ro)n(w)e Fj(y)33 b Fn(consist)c(of)h(all)g(the)515 4273 y(p)r(oin)n(ts)g(to)h(the)g (left)g(of)g(and)g(ab)r(o)n(v)n(e)e($)p Fj(x;)14 b(y)s Fn($.)47 b(It)31 b(has)f Fj(x)h Fn(full)h(columns)e(and,)h(if)h Fj(y)f(>)c Fn(0,)k(one)515 4373 y(partial)26 b(column)i(of)f Fj(y)j Fn(p)r(oin)n(ts.)37 b(Figure)27 b(5)g(sho)n(ws)f(t)n(w)n(o)h (example)g(partial)f(7)18 b Fi(\002)f Fj(n)28 b Fn(p)r(ositions)515 4473 y(up)g(to)f($3)p Fj(;)14 b Fn(3$.)639 4572 y(What)24 b(these)g(p)r(ositions)f(ha)n(v)n(e)g(in)g(common)h(is)f(that)h(the)g (set)g(of)f(p)r(ossible)h(completions)515 4672 y(in)n(to)30 b(legal)f(full-b)r(oard)h(p)r(ositions)f(is)h(iden)n(tical.)45 b(In)30 b(either)g(case,)g(the)h(remainder)e(of)h(the)515 4772 y(p)r(osition)g(has)f(to)h(pro)n(vide)f(a)h(lib)r(ert)n(y)g(to)g (the)h(top)f(white)h(group,)f(to)g(the)g(blac)n(k)g(group)f(it)515 4871 y(surrounds,)d(and)i(to)g(the)g(middle)g(blac)n(k)f(group.)37 b(W)-7 b(e)28 b(sa)n(y)e(that)i(the)h(p)r(ositions)e(share)g(the)515 4971 y(same)g Fm(b)l(or)l(der)j(state)p Fn(.)1926 5255 y(7)p eop end %%Page: 8 8 TeXDict begin 8 7 bop 515 523 a Fe(4.2)112 b(Border)37 b(States)515 676 y Fg(Definition)32 b(2)f($border)h(st)-6 b(a)g(te$)43 b Fm(A)33 b Fn(b)r(order)d(state)p Fm(,)35 b(or)e Fn(state)g Fm(for)i(short,)g(c)l(omprises)515 776 y(the)30 b(fol)t(lowing)i(data:)639 942 y Fi(\017)41 b Fm(the)30 b(b)l(o)l(ar)l(d)h(height)g Fj(m)p Fm(,)639 1108 y Fi(\017)41 b Fm(the)30 b(size)g Fn(0)23 b Fi(\024)g Fj(y)i(<)e(m)30 b Fm(of)g(the)g(p)l(artial)h(c)l(olumn,)639 1274 y Fi(\017)41 b Fm(the)28 b(c)l(olor)g(of)g(b)l(or)l(der)g(p)l (oints)g Fn($)p Fj(x;)14 b Fn(0$)p Fj(;)g(:)g(:)g(:)g(;)g Fn($)p Fj(x;)g(y)i Fi(\000)d Fn(1$)p Fj(;)h Fn($)p Fj(x)f Fi(\000)g Fn(1)p Fj(;)h(y)s Fn($)p Fj(;)g(:)g(:)g(:)f(;)h Fn($)p Fj(x)f Fi(\000)g Fn(1)p Fj(;)h(m)f Fi(\000)g Fn(1$)722 1374 y Fm($)p Fj(x)30 b Fm(is)h(only)f(a)g(symb)l(ol)g (whose)h(value)g(is)f(immaterial)h(to)f(the)g(state$,)639 1540 y Fi(\017)41 b Fm(for)31 b(e)l(ach)g(stone)e(on)h(the)g(b)l(or)l (der,)h(whether)f(it)g(has)h(lib)l(erties,)639 1706 y Fi(\017)41 b Fm(c)l(onne)l(ctions)30 b(among)g(lib)l(ertyless)h (stones.)639 1872 y(A)k(state)f(with)i(height)g Fj(m)f Fm(and)g(p)l(artial)h(c)l(olumn)f(size)g Fj(y)j Fm(is)d(c)l(al)t(le)l (d)i(an)2905 1805 y Fd(\000)2944 1835 y Fk(m)2955 1900 y(y)3002 1805 y Fd(\001)3041 1872 y Fm(-state,)f(or)515 1971 y(simply)i Fj(y)s Fm(-state)e(if)i Fj(m)e Fm(is)h(cle)l(ar)h(fr)l (om)f(c)l(ontext.)59 b(A)37 b(p)l(artial)h(p)l(osition)g(is)f(pseudole) l(gal)i(if)515 2071 y(al)t(l)33 b(lib)l(ertyless)g(stones)e(ar)l(e)h (on,)h(or)g(c)l(onne)l(cte)l(d)e(to,)i(the)f(b)l(or)l(der.)46 b(A)32 b(state)f(is)i(c)l(al)t(le)l(d)g Fn(con-)515 2171 y(structible)23 b Fm(if)i(it)f(is)g(the)f(b)l(or)l(der)i(state)e(of)i (some)f(pseudole)l(gal)i(p)l(artial)e(p)l(osition)h(of)g(arbitr)l(ary) 515 2270 y(width.)639 2453 y Fn(Information)k(of)g(lib)r(erties)g(and)g (connections)f(is)h(assumed)f(to)h(b)r(e)h(consisten)n(t)e(within)515 2553 y(the)g(b)r(order.)639 2652 y(A)19 b(partial)e(p)r(osition)i(up)f (to)h($0)p Fj(;)14 b(y)s Fn($)k(has)g(a)g(b)r(order)f(state)h(where)g (p)r(oin)n(ts)g($)p Fj(x)p Fi(\000)p Fn(1)p Fj(;)c(y)s Fn($)p Fj(;)g(:)g(:)g(:)g(;)g Fn($)p Fj(x)p Fi(\000)515 2752 y Fn(1)p Fj(;)g(m)20 b Fi(\000)h Fn(1$)32 b(are)f(o\013)h(the)h (b)r(oard.)49 b(W)-7 b(e)32 b(accomo)r(date)f(these)h(zero-width)f(p)r (ositions)h(b)n(y)g(al-)515 2851 y(lo)n(wing)e(the)h(non-color)e (`edge')h(for)g(all)h($)p Fj(x)21 b Fi(\000)f Fn(1)p Fj(;)14 b Fi(\001)p Fn($)31 b(p)r(oin)n(ts,)h(and)e(call)h(the)g (result)g(an)f Fm(e)l(dge)515 2951 y(state)d Fn(instead.)639 3051 y(In)33 b(\014gures,)g(lib)r(ert)n(yless)f(stones)g(and)g(their)h (connections)f(are)f(indicated)i(with)g(lines)515 3150 y(emanating)27 b(to)g(the)h(left.)639 3250 y(The)22 b(set)f(of)g (constructible)g(states)g(is)g(di\016cult)h(to)f(c)n(haracterize,)g (and)g(hence)g(to)g(coun)n(t.)515 3350 y(W)-7 b(e)28 b(therefore)e(in)n(tro)r(duce)i(a)f(sligh)n(tly)g(larger)f(class.)515 3532 y Fg(Definition)32 b(3)41 b Fm(Cal)t(l)31 b(a)f Fj(y)s Fm(-state)f Fj(s)h Fn(v)-5 b(alid)30 b Fm(if)g(it)g(satis\014es) g(al)t(l)h(the)f(fol)t(lowing:)639 3698 y Fi(\017)41 b Fm(c)l(onne)l(ctions)32 b(don)-8 b('t)31 b(cr)l(oss,)h(i.e.)45 b(if)32 b(4)g(stones)f(ar)l(e)g(or)l(der)l(e)l(d)h(vertic)l(al)t(ly)i (as)d Fj(a;)14 b(b;)g(c;)g(d)p Fm(,)722 3798 y(with)41 b Fj(a)g Fm(and)g Fj(c)f Fm(c)l(onne)l(cte)l(d,)j(and)e Fj(b)g Fm(and)g Fj(d)f Fm(c)l(onne)l(cte)l(d,)k(then)c(they)h(must)e (al)t(l)j(b)l(e)722 3898 y(c)l(onne)l(cte)l(d.)639 4064 y Fi(\017)f Fm(if)31 b(a)f(stone)g(at)f Fn($)p Fj(x;)14 b(y)22 b Fi(\000)c Fn(1$)30 b Fm(either)816 4230 y Fc({)41 b Fm(has)30 b(c)l(onne)l(ctions,)h(but)e($if)h Fj(y)c(>)d Fn(1)p Fm($)29 b(not)g(to)h Fn($)p Fj(x;)14 b(y)22 b Fi(\000)c Fn(2$)p Fm(,)30 b(or)816 4362 y Fc({)41 b Fm(has)30 b(lib)l(erties,)i(but)d($if)h Fj(y)c(>)d Fn(1)p Fm($)29 b Fn($)p Fj(x;)14 b(y)22 b Fi(\000)c Fn(2$)29 b Fm(is)h(opp)l(osite-c)l(olor)l(e)l(d,)722 4529 y(then)g(p)l(oints)g Fn($)p Fj(x;)14 b(y)22 b Fi(\000)c Fn(1$)29 b Fm(and)h Fn($)p Fj(x)20 b Fi(\000)e Fn(1)p Fj(;)c(y)s Fn($)29 b Fm(ar)l(e)h(c)l(onsider)l(e)l(d)h(adjac)l(ent.) 515 4711 y Fg(Lemma)g(5)41 b Fm(Every)31 b(c)l(onstructible)f(state)f (is)h(valid.)1926 5255 y Fn(8)p eop end %%Page: 9 9 TeXDict begin 9 8 bop 974 912 a @beginspecial 0 @llx 0 @lly 65 @urx 55 @ury 566 @rwi @setspecial %%BeginDocument: unrealizable.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: unrealizable.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Fri Sep 2 15:52:07 2005 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 65 55 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 55 moveto 0 0 lineto 65 0 lineto 65 55 lineto closepath clip newpath -323.3 279.4 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Ellipse 7.500 slw n 6300 4200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 6300 3900 m 6300 4200 l 6000 4500 l gs col0 s gr % Polyline n 6150 3900 m 5400 4200 l 5850 4500 l gs col0 s gr % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 6000 4500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 1473 w @beginspecial 0 @llx 0 @lly 74 @urx 74 @ury 566 @rwi @setspecial %%BeginDocument: shape.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: shape.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Thu Dec 22 13:16:12 2005 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 74 74 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 74 moveto 0 0 lineto 74 0 lineto 74 74 lineto closepath clip newpath -35.3 108.7 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Polyline 7.500 slw n 600 600 m 600 1800 l 1200 1800 l 1200 1500 l 1800 1500 l 1800 900 l 1200 900 l 1200 600 l 600 600 l cp gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 515 1178 a Fn(Figure)27 b(6:)37 b($a$)27 b(a)h(v)-5 b(alid)27 b(but)h(unconstructible)g(state)f($b$)i (non-rectangular)c(b)r(oardshap)r(e)639 1448 y Fg(Pr)n(oof.)36 b Fn(The)25 b(non-crossing)e(prop)r(ert)n(y)h(can)h(b)r(e)h(seen)f(to)g (follo)n(w)g(from)g(the)g(planarit)n(y)515 1548 y(of)20 b(t)n(w)n(o-dimensional)f(b)r(oards.)33 b(If)21 b(b)r(order)f(p)r(oin)n (t)h($)p Fj(x;)14 b(y)7 b Fi(\000)t Fn(1$)21 b(has)f(a)g(connection)g (necessarily)515 1647 y(going)d(through)i(non-b)r(order)e(p)r(oin)n(t)i ($)p Fj(x)q Fi(\000)q Fn(1)p Fj(;)14 b(y)t Fi(\000)q Fn(1$,)19 b(then)h(the)f(latter's)f(neigh)n(b)r(our)g($)p Fj(x)q Fi(\000)q Fn(1)p Fj(;)c(y)s Fn($)515 1747 y(is)33 b(e\013ectiv)n(ely)g(also)f(the)h(former's)f(neigh)n(b)r(our.)53 b(This)33 b(virtual)f(adjacency)g(implies)i(that)515 1846 y($)p Fj(x)24 b Fi(\000)e Fn(1)p Fj(;)14 b(y)s Fn($)34 b(m)n(ust)h(b)r(e)g(either)g(opp)r(osite)f(colored,)h(or)f (same)g(colored)f(and)i(connected)f(to)515 1946 y($)p Fj(x;)14 b(y)28 b Fi(\000)d Fn(1$.)66 b(Similarly)-7 b(,)39 b(if)f($)p Fj(x;)14 b(y)28 b Fi(\000)d Fn(1$)37 b(has)g(a)g(lib)r(ert)n(y)g(necessarily)f(obtained)h(through)515 2046 y($)p Fj(x)16 b Fi(\000)g Fn(1)p Fj(;)e(y)k Fi(\000)d Fn(1$,)27 b(then)f($)p Fj(x;)14 b(y)20 b Fi(\000)15 b Fn(1$)26 b(is)g(e\013ectiv)n(ely)h(adjacen)n(t)e(to)h($)p Fj(x)17 b Fi(\000)e Fn(1)p Fj(;)f(y)s Fn($,)27 b(prev)n(en)n(ting)e (the)515 2145 y(latter)i(from)g(b)r(eing)h(a)f(same)g(colored-stone)f (without)i(lib)r(erties.)774 b Fi(\017)639 2281 y Fn(The)26 b(smallest)g(example)f(of)h(a)g(v)-5 b(alid)25 b(but)i(not)f (constructible)f(state)h(o)r(ccurs)f(at)h Fj(m)d Fn(=)f(3)515 2380 y(as)k(sho)n(wn)h(in)g(Figure)g(6$a$.)36 b(An)n(y)28 b(partial)e(b)r(oard)h(that)g(connects)g(the)h(t)n(w)n(o)e(white)i (stones)515 2480 y(and)23 b(pro)n(vides)g(a)g(lib)r(ert)n(y)h(to)f(the) i(blac)n(k)e(stone,)h(will)g(inevitably)f(pro)n(vide)g(a)g(lib)r(ert)n (y)h(to)g(the)515 2580 y(white)30 b(stones)f(as)f(w)n(ell.)43 b(In)30 b(other)f(w)n(ords,)f(the)i(\014xed)g(b)r(oard)f(heigh)n(t)g (of)g(3)h(do)r(esn't)f(allo)n(w)515 2679 y(the)35 b(white)g(string)f (to)h(distance)g(itself)g(from)f(the)i(blac)n(k)e(one.)58 b(If)35 b(w)n(e)g(allo)n(w)n(ed)e(v)-5 b(ariable)515 2779 y(heigh)n(t)25 b(b)r(oard)g(shap)r(es)g(suc)n(h)g(as)g(the)g(one)h (sho)n(wn)e(in)i(Figure)f(6$b$,)h(then)g(the)g(ab)r(o)n(v)n(e)e(v)-5 b(alid)515 2878 y(state)34 b(w)n(ould)h(b)r(ecome)f(constructible.)58 b(It)35 b(can)f(b)r(e)i(sho)n(wn)e(that)h(non-constructabilit)n(y)515 2978 y(of)f(v)-5 b(alid)35 b(states)f(is)g(due)h(en)n(tirely)f(to)g (the)h(`lac)n(k)e(of)i(ro)r(om')e(to)i(sim)n(ultaneously)e(pro)n(vide) 515 3078 y(lib)r(erties)27 b(and)h(connections.)639 3177 y(W)-7 b(e)32 b(can)f(somewhat)g(e\016cien)n(tly)h(compute)f(the)h(n)n (um)n(b)r(er)g(of)f(v)-5 b(alid)32 b(0-b)r(order)d(states,)515 3277 y(eac)n(h)k(of)i(whic)n(h)f(corresp)r(onds)f(to)h(a)g(balanced)g (path)h(of)f(length)g Fj(m)h Fn(through)f(the)h(\014nite)515 3377 y(automaton)27 b(sho)n(wn)h(later)f(in)i(Figure)e(10.)38 b(In)28 b(a)g Fm(b)l(alanc)l(e)l(d)i Fn(path)e(the)g(up)h(and)f(do)n (wn)g(con-)515 3476 y(nections)i(of)g(lib)r(ert)n(yless)f(blac)n(k)g (and)h(white)g(stones)g(matc)n(h)g(up)g(prop)r(erly)f(lik)n(e)h (balanced)515 3576 y(paren)n(theses)g(of)h(t)n(w)n(o)g(t)n(yp)r(es,)i (e.g.)48 b(`$[]\([]$\)'.)i(Using)32 b(Dynamic)f(Programming,)f(w)n(e) h(can)515 3675 y(compute)g(the)g(n)n(um)n(b)r(er)g(of)f(suc)n(h)h (paths)g(ending)f(in)i(a)e(giv)n(en)g(v)n(ertex)g(of)h(the)g(automaton) 515 3775 y(with)c(a)g(giv)n(en)f(stac)n(k)h(of)g(p)r(ending)g (connections.)36 b(With)28 b(at)f(most)g Fj(m=)p Fn(2)f(p)r(ending)i (connec-)515 3875 y(tions,)e(there)g(are)g(at)g(most)g(2)1433 3845 y Fk(m=)p Fh(2)1589 3875 y Fn(suc)n(h)g(stac)n(ks.)35 b(Ha)n(ving)26 b(all)g(coun)n(ts)g(for)f(paths)i(of)f(length)515 3974 y Fj(l)r Fn(,)35 b(w)n(e)f(can)g(in)h(time)g Fj(O)r Fn($2)1327 3944 y Fk(m=)p Fh(2)1457 3974 y Fn($)g(compute)g(all)f (coun)n(ts)g(for)f(paths)i(of)f(length)g Fj(l)25 b Fn(+)d(1,)36 b(th)n(us)515 4074 y(taking)27 b(time)h Fj(O)r Fn($)p Fj(m)p Fn(2)1172 4044 y Fk(m=)p Fh(2)1302 4074 y Fn($)g(o)n(v)n (erall.)35 b(It)28 b(to)r(ok)f(only)g(0.005)f(sec)h(to)h(determine)f (the)h(n)n(um)n(b)r(er)515 4174 y(of)608 4106 y Fd(\000)646 4137 y Fh(19)663 4202 y(0)713 4106 y Fd(\001)778 4174 y Fn(b)r(order)d(states)i(in)g(this)g(manner.)36 b(Computing)26 b(n)n(um)n(b)r(ers)h(of)f Fj(y)s Fn(-states)g(for)g Fj(y)g(>)c Fn(0,)515 4273 y(n)n(um)n(b)r(ers)32 b(of)h(edge)f(states,)i(and)f(of)g (state)f(classes)g(is)h(only)f(sligh)n(tly)g(more)g(complicated)515 4373 y(and)27 b(can)g(b)r(e)h(done)g(within)g(the)g(same)f(time)h (complexit)n(y)-7 b(.)639 4472 y(T)g(able)25 b(1)g(sho)n(ws)e(for)i (eac)n(h)f Fj(m)h Fn(the)g(minim)n(um)h(and)f(maxim)n(um)g(n)n(um)n(b)r (er)f(of)h(v)-5 b(alid)3216 4405 y Fd(\000)3254 4436 y Fk(m)3266 4501 y(y)3313 4405 y Fd(\001)3351 4472 y Fn(-)515 4572 y(b)r(order)32 b(state)h(classes,)g(whic)n(h)g(turn)g (out)g(to)g(b)r(e)g(ac)n(hiev)n(ed)f(at)h Fj(y)h Fn(=)e(0)h(and)f Fj(y)j Fn(=)d Fj(m)22 b Fi(\000)f Fn(1,)515 4672 y(resp)r(ectiv)n(ely) -7 b(.)36 b(The)27 b(maxim)n(um)h(is)f(alw)n(a)n(ys)f(ab)r(out)i (45\045)e(larger)g(than)i(the)g(minim)n(um.)639 4771 y(Only)23 b(a)g(tin)n(y)g(p)r(ercen)n(tage)g(of)g(the)g(listed)h(v)-5 b(alid)23 b(states)g(fails)g(to)h(b)r(e)f(constructible)g($e.g.)515 4871 y(only)k(337)f(of)i(the)g(109736)c(v)-5 b(alid)1564 4804 y Fd(\000)1602 4834 y Fh(9)1602 4900 y(0)1635 4804 y Fd(\001)1673 4871 y Fn(-classes$.)1926 5255 y(9)p eop end %%Page: 10 10 TeXDict begin 10 9 bop 1044 443 1806 4 v 1043 549 4 107 v 1104 514 a Fj(m)p 1225 549 V 100 w Fn(#v)-5 b(alid)1547 447 y Fd(\000)1585 477 y Fk(m)1598 543 y Fh(0)1644 447 y Fd(\001)1682 514 y Fn(-classes)p 1994 549 V 98 w(#v)g(alid)2315 447 y Fd(\000)2396 477 y Fk(m)2353 543 y(m)p Fb(\000)p Fh(1)2497 447 y Fd(\001)2535 514 y Fn(-classes)p 2848 549 V 1044 553 1806 4 v 1043 652 4 100 v 1136 623 a(1)p 1225 652 V 99 w(3)p 1994 652 V 727 w(3)p 2848 652 V 1043 752 V 1136 722 a(2)p 1225 752 V 99 w(9)p 1994 752 V 727 w(13)p 2848 752 V 1043 852 V 1136 822 a(3)p 1225 852 V 99 w(32)p 1994 852 V 685 w(46)p 2848 852 V 1043 951 V 1136 921 a(4)p 1225 951 V 99 w(117)p 1994 951 V 643 w(168)p 2848 951 V 1043 1051 V 1136 1021 a(5)p 1225 1051 V 99 w(444)p 1994 1051 V 643 w(642)p 2848 1051 V 1043 1151 V 1136 1121 a(6)p 1225 1151 V 99 w(1712)p 1994 1151 V 601 w(2482)p 2848 1151 V 1043 1250 V 1136 1220 a(7)p 1225 1250 V 99 w(6742)p 1994 1250 V 601 w(9808)p 2848 1250 V 1043 1350 V 1136 1320 a(8)p 1225 1350 V 99 w(26973)p 1994 1350 V 559 w(39324)p 2848 1350 V 1043 1449 V 1136 1420 a(9)p 1225 1449 V 99 w(109736)p 1994 1449 V 517 w(160286)p 2848 1449 V 1043 1549 V 1094 1519 a(10)p 1225 1549 V 99 w(452863)p 1994 1549 V 517 w(662265)p 2848 1549 V 1043 1649 V 1094 1619 a(11)p 1225 1649 V 99 w(1894494)p 1994 1649 V 475 w(2772774)p 2848 1649 V 1043 1748 V 1094 1718 a(12)p 1225 1748 V 99 w(8020098)p 1994 1748 V 475 w(11742926)p 2848 1748 V 1043 1848 V 1094 1818 a(13)p 1225 1848 V 99 w(34320647)p 1994 1848 V 433 w(50258461)p 2848 1848 V 1043 1948 V 1094 1918 a(14)p 1225 1948 V 99 w(148266922)p 1994 1948 V 391 w(217096273)p 2848 1948 V 1043 2047 V 1094 2017 a(15)p 1225 2047 V 99 w(645949499)p 1994 2047 V 391 w(945567689)p 2848 2047 V 1043 2147 V 1094 2117 a(16)p 1225 2147 V 99 w(2835158927)p 1994 2147 V 349 w(4148642993)p 2848 2147 V 1043 2246 V 1094 2217 a(17)p 1225 2246 V 99 w(12526125303)p 1994 2246 V 307 w(18320946269)p 2848 2246 V 1043 2346 V 1094 2316 a(18)p 1225 2346 V 99 w(55665579032)p 1994 2346 V 307 w(81376671503)p 2848 2346 V 1043 2446 V 1094 2416 a(19)p 1225 2446 V 99 w(248661924718)p 1994 2446 V 265 w(363324268018)p 2848 2446 V 1044 2449 1806 4 v 1110 2681 a(T)e(able)27 b(1:)36 b(Num)n(b)r(er)28 b(of)g(v)-5 b(alid)27 b(b)r(order)g(state)g (classes.)515 2930 y Fe(4.3)112 b(The)38 b(b)s(order)f(state)h(graph) 515 3083 y Fn(Let's)f(see)g(ho)n(w)g(the)h(b)r(order)f(state)g(of)h(a)f (partial)g(b)r(oard)g(up)g(to)h($)p Fj(x;)14 b(y)s Fn($)38 b(and)g(the)f(color)515 3183 y(of)27 b($)p Fj(x;)14 b(y)s Fn($)28 b(uniquely)g(determine)g(the)f(b)r(order)g(state)g(up)h (to)f($)p Fj(x;)14 b(y)22 b Fn(+)c(1$,)27 b(as)g(exempli\014ed)h(in) 515 3283 y(Figure)22 b(7.)34 b(If)23 b($)p Fj(x;)14 b(y)s Fn($)23 b(is)g(empt)n(y)-7 b(,)23 b(then)g(an)n(y)f(lib)r(ert)n (yless)f(stones)h(at)h($)p Fj(x;)14 b(y)d Fi(\000)d Fn(1$)22 b(and)g($)p Fj(x)8 b Fi(\000)g Fn(1)p Fj(;)14 b(y)s Fn($)515 3382 y(as)20 b(w)n(ell)h(as)g(all)g(stones)f(connected) h(to)g(them,)j(b)r(ecome)d(stones)f(with)i(lib)r(erties.)35 b(Otherwise,)515 3482 y(supp)r(ose)27 b($)p Fj(x;)14 b(y)s Fn($)28 b(is)g(blac)n(k.)639 3581 y(If)k($)p Fj(x)22 b Fi(\000)f Fn(1)p Fj(;)14 b(y)s Fn($)31 b(is)h(a)f(lib)r(ert) n(yless)g(white)h(stone)g(without)g(connections,)g(then)g(the)g(new)515 3681 y(partial)26 b(b)r(oard)h(is)h(no)f(longer)f(pseudolegal;)h(a)g (case)g(w)n(e)g(m)n(ust)g(a)n(v)n(oid.)639 3781 y(If)d(either)e($)p Fj(x;)14 b(y)e Fi(\000)d Fn(1$)23 b(or)f($)p Fj(x)9 b Fi(\000)g Fn(1)p Fj(;)14 b(y)s Fn($)23 b(is)g(empt)n(y)g(or)f(blac)n (k)g(with)i(lib)r(erties)f(then)g($)p Fj(x;)14 b(y)s Fn($)24 b(has)515 3880 y(lib)r(erties,)k(whic)n(h)h(it)f(ma)n(y)g(pro) n(vide)f(to)h(the)h(other)f(neigh)n(b)r(our)f($if)i(that)g(is)f(blac)n (k)g(without)515 3980 y(lib)r(erties$.)639 4080 y(Finally)-7 b(,)35 b(if)f(neither)f($)p Fj(x;)14 b(y)26 b Fi(\000)c Fn(1$)33 b(nor)g($)p Fj(x)23 b Fi(\000)f Fn(1)p Fj(;)14 b(y)s Fn($)32 b(pro)n(vides)g(lib)r(erties,)j(then)f($)p Fj(x;)14 b(y)s Fn($)34 b(is)515 4179 y(without)28 b(lib)r(erties)f (and)h(connects)f(an)n(y)g(blac)n(k)g(neigh)n(b)r(ours.)639 4279 y(The)h(case)f(for)g($)p Fj(x;)14 b(y)s Fn($)28 b(b)r(eing)g(white)g(is)f(iden)n(tical)h(with)g(all)f(colors)f(rev)n (ersed.)639 4378 y(Similarly)-7 b(,)24 b(the)g(edge)f(state)h(of)f(a)h (partial)e(b)r(oard)h(up)h(to)g($0)p Fj(;)14 b(y)s Fn($)23 b(and)h(the)g(color)e(of)h($0)p Fj(;)14 b(y)s Fn($)515 4478 y(uniquely)25 b(determine)g(the)h(edge)e(state)h(up)h(to)f($0)p Fj(;)14 b(y)i Fn(+)e(1$)24 b($in)i(case)e Fj(y)i(<)c(m)14 b Fi(\000)g Fn(1$)24 b(or)g(b)r(order)515 4578 y(state)j(up)h(to)g ($1)p Fj(;)14 b Fn(0$)27 b($in)h(case)f Fj(y)e Fn(=)e Fj(m)18 b Fi(\000)g Fn(1$.)515 4760 y Fg(Definition)32 b(4)f($\(a)n(ugmented$)i(border)e(st)-6 b(a)g(te)33 b(graph\))42 b Fm(L)l(et)21 b Fj(B)t Fn($)p Fj(m)p Fn($)g Fm(b)l(e)h(the)f(dir)l(e)l(cte)l(d)515 4860 y(gr)l(aph)32 b(whose)g(vertic)l(es)f(ar)l(e)g(the)h(c)l(onstructible)e(b)l(or)l(der) i(states)f(of)g(height)h Fj(m)p Fm(,)g(and)f(which)515 4960 y(has)e(e)l(dges)h(fr)l(om)f(e)l(ach)h Fj(y)s Fm(-state)e(to)h (its)g(2)g(or)g(3)g(suc)l(c)l(essor)g Fn($\()p Fj(y)20 b Fn(+)c(1$)23 b(mo)r(d)g Fj(m)p Fn(\))29 b Fm(states.)38 b(The)1905 5255 y Fn(10)p eop end %%Page: 11 11 TeXDict begin 11 10 bop 515 1452 a @beginspecial 0 @llx 0 @lly 465 @urx 166 @ury 3401 @rwi @setspecial %%BeginDocument: expandborder.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: expandborder.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Thu Sep 29 11:41:00 2005 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 465 166 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 166 moveto 0 0 lineto 465 0 lineto 465 166 lineto closepath clip newpath -26.3 182.7 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Ellipse 7.500 slw n 1500 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 1800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 2100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 2100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7800 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7500 2100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 2100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 1800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 2700 24 24 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3300 2700 24 24 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 5400 2700 24 24 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 7500 2700 24 24 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3600 1800 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 1350 900 m 600 1200 l 1350 1500 l gs col0 s gr % Polyline n 1350 1200 m 1050 1200 l gs col0 s gr % Polyline n 1500 900 m 1500 1500 l 1200 1800 l 1200 2700 l gs col0 s gr % Polyline n 1050 2100 m 600 1950 l 1050 1800 l gs col0 s gr % Polyline n 3450 1200 m 3150 1200 l gs col0 s gr % Polyline n 3600 900 m 3600 1800 l 3300 2100 l 3300 2700 l gs col0 s gr % Polyline n 5550 900 m 4800 1200 l 5550 1500 l gs col0 s gr % Polyline n 5550 1200 m 5250 1200 l gs col0 s gr % Polyline n 5700 900 m 5700 1800 l 5400 2100 l 5400 2700 l gs col0 s gr % Polyline n 5250 2100 m 4800 1950 l 5550 1800 l gs col0 s gr % Polyline n 7650 900 m 6900 1200 l 7650 1500 l gs col0 s gr % Polyline n 7650 1200 m 7350 1200 l gs col0 s gr % Polyline n 7800 900 m 7800 1800 l 7500 2100 l 7500 2700 l gs col0 s gr % Polyline n 7050 2100 m 7350 2100 l gs col0 s gr % Polyline n 7650 1800 m 6900 1200 l gs col0 s gr % Polyline n 555 600 m 450 600 450 2745 105 arcto 4 {pop} repeat 450 2850 1695 2850 105 arcto 4 {pop} repeat 1800 2850 1800 705 105 arcto 4 {pop} repeat 1800 600 555 600 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 4755 600 m 4650 600 4650 2745 105 arcto 4 {pop} repeat 4650 2850 5895 2850 105 arcto 4 {pop} repeat 6000 2850 6000 705 105 arcto 4 {pop} repeat 6000 600 4755 600 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 6855 600 m 6750 600 6750 2745 105 arcto 4 {pop} repeat 6750 2850 7995 2850 105 arcto 4 {pop} repeat 8100 2850 8100 705 105 arcto 4 {pop} repeat 8100 600 6855 600 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 2655 600 m 2550 600 2550 2745 105 arcto 4 {pop} repeat 2550 2850 3795 2850 105 arcto 4 {pop} repeat 3900 2850 3900 705 105 arcto 4 {pop} repeat 3900 600 2655 600 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline gs clippath 2565 1230 m 2565 1170 l 2413 1170 l 2533 1200 l 2413 1230 l cp eoclip n 1800 1200 m 2550 1200 l gs col0 s gr gr % arrowhead n 2413 1230 m 2533 1200 l 2413 1170 l col0 s % Polyline gs clippath 6750 633 m 6776 579 l 6641 512 l 6735 593 l 6614 566 l cp eoclip n 1800 600 m 2400 300 l 6150 300 l 6750 600 l gs col0 s gr gr % arrowhead n 6614 566 m 6735 593 l 6641 512 l col0 s % Polyline gs clippath 4650 933 m 4676 879 l 4541 812 l 4635 893 l 4514 866 l cp eoclip n 1800 900 m 2700 450 l 3750 450 l 4650 900 l gs col0 s gr gr % arrowhead n 4514 866 m 4635 893 l 4541 812 l col0 s /Times-Roman ff 180.00 scf sf 600 3000 m gs 1 -1 sc (a border state) col0 sh gr /Times-Roman ff 180.00 scf sf 2700 3000 m gs 1 -1 sc (empty successor) col0 sh gr /Times-Roman ff 180.00 scf sf 4800 3000 m gs 1 -1 sc (black successor) col0 sh gr /Times-Roman ff 180.00 scf sf 6900 3000 m gs 1 -1 sc (white successor) col0 sh gr % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 1500 900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1200 2400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1500 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3600 900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3300 2400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 2400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7800 900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 2400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3600 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7800 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7800 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 1120 1635 a Fn(Figure)27 b(7:)36 b(A)28 b(b)r(order)f(state)g(and)h(its)g(3)f(successors.)1356 2849 y @beginspecial 0 @llx 0 @lly 205 @urx 191 @ury 1417 @rwi @setspecial %%BeginDocument: B1.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: B1.fig %%Creator: fig2dev Version 3.2 Patchlevel 5-alpha7 %%CreationDate: Sat Oct 20 21:17:50 2007 %%BoundingBox: 0 0 205 191 %Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 191 moveto 0 0 lineto 205 0 lineto 205 191 lineto closepath clip newpath -30.4 221.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Arc 7.500 slw 0 slc gs clippath 3755 1204 m 3592 1167 l 3578 1225 l 3742 1262 l 3742 1262 l 3632 1207 l 3755 1204 l cp eoclip n 3600.0 1500.0 300.0 180.0000 -90.0000 arcn gs col0 s gr gr % arrowhead 0 slj n 3755 1204 m 3632 1207 l 3742 1262 l col0 s % Arc gs clippath 3742 2937 m 3578 2974 l 3592 3032 l 3755 2995 l 3755 2995 l 3632 2993 l 3742 2937 l cp eoclip n 3600.0 2700.0 300.0 180.0000 90.0000 arc gs col0 s gr gr % arrowhead n 3742 2937 m 3632 2993 l 3755 2995 l col0 s % Arc gs clippath 2097 2134 m 2265 2129 l 2264 2069 l 2096 2074 l 2096 2074 l 2217 2101 l 2097 2134 l cp eoclip n 2175.0 1875.0 237.2 18.4349 71.5651 arcn gs col0 s gr gr % arrowhead n 2097 2134 m 2217 2101 l 2096 2074 l col0 s % Arc gs clippath 1942 1062 m 1778 1099 l 1792 1157 l 1955 1120 l 1955 1120 l 1832 1118 l 1942 1062 l cp eoclip n 1800.0 825.0 300.0 90.0000 180.0000 arcn gs col0 s gr gr % arrowhead n 1942 1062 m 1832 1118 l 1955 1120 l col0 s % Arc gs clippath 1955 3079 m 1792 3042 l 1778 3100 l 1942 3137 l 1942 3137 l 1832 3082 l 1955 3079 l cp eoclip n 1800.0 3375.0 300.0 -90.0000 180.0000 arc gs col0 s gr gr % arrowhead n 1955 3079 m 1832 3082 l 1942 3137 l col0 s % Ellipse n 2400 2100 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1500 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline gs clippath 2120 1863 m 2239 1981 l 2281 1939 l 2163 1820 l 2163 1820 l 2227 1927 l 2120 1863 l cp eoclip n 1800 1500 m 2250 1950 l gs col7 0.00 shd ef gr gs col0 s gr gr % arrowhead n 2120 1863 m 2227 1927 l 2163 1820 l col0 s % Polyline gs clippath 2163 2379 m 2281 2260 l 2239 2218 l 2120 2336 l 2120 2336 l 2227 2273 l 2163 2379 l cp eoclip n 1800 2700 m 2250 2250 l gs col7 0.00 shd ef gr gs col0 s gr gr % arrowhead n 2163 2379 m 2227 2273 l 2120 2336 l col0 s % Polyline gs clippath 2679 2336 m 2560 2218 l 2518 2260 l 2636 2379 l 2636 2379 l 2573 2273 l 2679 2336 l cp 2870 2613 m 2989 2731 l 3031 2689 l 2913 2570 l 2913 2570 l 2977 2677 l 2870 2613 l cp eoclip n 3000 2700 m 2550 2250 l gs col7 0.00 shd ef gr gs col0 s gr gr % arrowhead n 2870 2613 m 2977 2677 l 2913 2570 l col0 s % arrowhead n 2679 2336 m 2573 2273 l 2636 2379 l col0 s % Polyline gs clippath 2636 1820 m 2518 1939 l 2560 1981 l 2679 1863 l 2679 1863 l 2573 1927 l 2636 1820 l cp 2913 1629 m 3031 1510 l 2989 1468 l 2870 1586 l 2870 1586 l 2977 1523 l 2913 1629 l cp eoclip n 3000 1500 m 2550 1950 l gs col7 0.00 shd ef gr gs col0 s gr gr % arrowhead n 2913 1629 m 2977 1523 l 2870 1586 l col0 s % arrowhead n 2636 1820 m 2573 1927 l 2679 1863 l col0 s % Polyline gs clippath 1113 1629 m 1231 1510 l 1189 1468 l 1070 1586 l 1070 1586 l 1177 1523 l 1113 1629 l cp eoclip n 750 1950 m 1200 1500 l gs col0 s gr gr % arrowhead n 1113 1629 m 1177 1523 l 1070 1586 l col0 s % Polyline gs clippath 1070 2613 m 1189 2731 l 1231 2689 l 1113 2570 l 1113 2570 l 1177 2677 l 1070 2613 l cp eoclip n 750 2250 m 1200 2700 l gs col0 s gr gr % arrowhead n 1070 2613 m 1177 2677 l 1113 2570 l col0 s % Polyline gs clippath 1647 2130 m 1815 2130 l 1815 2070 l 1647 2070 l 1647 2070 l 1767 2100 l 1647 2130 l cp eoclip n 900 2100 m 1800 2100 l gs col7 0.00 shd ef gr gs col0 s gr gr % arrowhead n 1647 2130 m 1767 2100 l 1647 2070 l col0 s % Polyline n 1050 3000 m 1350 3000 l gs col0 s gr % Polyline n 1050 1200 m 1350 1200 l gs col0 s gr % Polyline gs clippath 2103 1170 m 1935 1170 l 1935 1230 l 2103 1230 l 2103 1230 l 1983 1200 l 2103 1170 l cp eoclip n 2850 1200 m 1950 1200 l gs col7 0.00 shd ef gr gs col0 s gr gr % arrowhead n 2103 1170 m 1983 1200 l 2103 1230 l col0 s % Polyline gs clippath 2103 2970 m 1935 2970 l 1935 3030 l 2103 3030 l 2103 3030 l 1983 3000 l 2103 2970 l cp eoclip n 2850 3000 m 1950 3000 l gs col7 0.00 shd ef gr gs col0 s gr gr % arrowhead n 2103 2970 m 1983 3000 l 2103 3030 l col0 s /Times-Roman ff 250.00 scf sf 675 2175 m gs 1 -1 sc (E) dup sw pop neg 0 rm col0 sh gr % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 3300 1200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1500 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%Trailer %EOF %%EndDocument @endspecial 1062 3114 a(Figure)g(8:)37 b(Augmen)n(ted)27 b(b)r(order)g(state)h(graph)e Fj(AB)t Fn($1$.)515 3379 y Fm(augmente)l(d)f(b)l(or)l(der)h(state)g(gr)l(aph)g Fj(AB)t Fn($)p Fj(m)p Fn($)h Fm(has)f(additional)i(vertic)l(es)e(and) g(outgoing)g(e)l(dges)515 3479 y(for)k(al)t(l)h(e)l(dge)g(states.)639 3656 y Fn(Figure)d(7)g(sho)n(ws)f(the)i(3)f(successors)e(of)i(a)g(b)r (order)g(state,)g(while)h(Figure)f(8)f(sho)n(ws)h(the)515 3756 y(augmen)n(ted)g(b)r(order)g(state)h(graph)f Fj(AB)t Fn($1$.)42 b(Border)28 b(state)h(graph)e Fj(B)t Fn($2$)j(is)f(to)r (o)g(large)e(to)515 3855 y(sho)n(w)f(in)i(full)h(detail,)e(so)g (instead)h(of)f(b)r(order)g(states)g(w)n(e)g(sho)n(w)g(b)r(order)g (state)g Fm(classes)p Fn(.)639 3955 y(F)-7 b(or)31 b(further)g(clarit)n (y)-7 b(,)30 b(Figure)h(9)f(sho)n(ws)g(edges)h(b)r(et)n(w)n(een)g(the)g (9)g(0-state)f(classes)f(and)515 4055 y(13)23 b(1-state)h(classes)f (separately)g(for)h(eac)n(h)g(direction,)h(with)g(the)g(state)g (classes)e(ordered)g(to)515 4154 y(minimize)31 b(edge)e(crossings.)43 b(Thic)n(k)30 b(edges)g(represen)n(t)f(the)i(case)e(where)h(adding)g(a) g(blac)n(k)515 4254 y(stone)d(and)g(adding)h(a)f(white)h(stone)f(lead)g (to)h(equiv)-5 b(alen)n(t)27 b(states)g(in)h Fj(B)t Fn($2$.)515 4431 y Fg(Lemma)j(6)41 b Fm(The)31 b(b)l(or)l(der)g(state)e(gr)l(aph)i (is)f(str)l(ongly)g(c)l(onne)l(cte)l(d.)639 4608 y Fg(Pr)n(oof.)j Fn(Ev)n(ery)18 b Fj(y)s Fn(-state)g(reac)n(hes)f(the)i(stoneless)f Fj(y)s Fn(-state)g(after)g Fj(m)h Fn(empt)n(y)g(successors,)515 4707 y(and)35 b(th)n(us)g(reac)n(hes)f(the)i(stoneless)e(0-state)h (after)g(another)f Fj(m)23 b Fi(\000)h Fj(y)38 b Fn(empt)n(y)d (successors.)515 4807 y(F)-7 b(rom)35 b(the)h(latter,)h(w)n(e)f(can)f (reac)n(h)f(an)n(y)h(p)r(ossible)h(column)f(0)g(state)h Fj(s)p Fn(,)i(and)d(hence)h(an)n(y)515 4907 y(constructible)c(state,)h (as)f(follo)n(ws.)50 b(Note)33 b(that)g Fj(s)f Fn(can)g(b)r(e)h(reac)n (hed)e(in)i Fj(m)f Fn(steps)g(from)g(a)515 5006 y(0-state)26 b Fj(s)826 4976 y Fb(0)876 5006 y Fn(that)i(replaces)d(eac)n(h)i(stone) f(in)i Fj(s)f Fn(b)n(y)g(a)f(stone)h(with)h(lib)r(erties)f(of)g(the)g (opp)r(osite)1905 5255 y(11)p eop end %%Page: 12 12 TeXDict begin 12 11 bop 530 2079 a @beginspecial 0 @llx 0 @lly 678 @urx 392 @ury 3401 @rwi @setspecial %%BeginDocument: B2.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: B2.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Thu Dec 22 16:20:22 2005 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 678 392 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 392 moveto 0 0 lineto 678 0 lineto 678 392 lineto closepath clip newpath -70.1 454.6 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#055 /minus 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /hyphen 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Ellipse 7.500 slw n 1500 3000 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 3300 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 11400 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 12300 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6600 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 1200 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 1500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6600 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7500 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 9300 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 10200 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6600 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 1500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 1200 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 9600 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 3300 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 3300 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6900 3000 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7800 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8700 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 10200 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 10500 3000 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 12000 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 6900 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 6600 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1500 4800 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 5100 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 4800 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 4800 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6900 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 6600 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 12300 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 11400 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 10500 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 9600 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8700 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7800 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 12000 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 5100 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7500 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 5100 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 10200 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 6600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 6600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 8400 6600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 9300 6600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 10200 6600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 10200 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7500 6600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 7500 6900 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6600 6600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6600 6900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 1500 3000 m 1200 3300 l gs col0 s gr % Polyline n 2400 3000 m 2100 3300 l gs col0 s gr % Polyline n 3300 3000 m 3000 3300 l gs col0 s gr % Polyline n 4200 3000 m 3900 3300 l gs col0 s gr % Polyline n 5100 3000 m 4800 3300 l gs col0 s gr % Polyline n 6000 3000 m 5700 3300 l gs col0 s gr % Polyline n 6900 3000 m 6600 3300 l gs col0 s gr % Polyline n 7800 3000 m 7500 3300 l gs col0 s gr % Polyline n 8700 3000 m 8400 3300 l gs col0 s gr % Polyline n 9600 3000 m 9300 3300 l gs col0 s gr % Polyline n 10500 3000 m 10200 3300 l gs col0 s gr % Polyline n 11400 3000 m 11100 3300 l gs col0 s gr % Polyline n 12300 3000 m 12000 3300 l gs col0 s gr % Polyline n 11850 3000 m 12150 3000 l gs col0 s gr % Polyline n 9750 3300 m 10050 3300 l gs col0 s gr % Polyline n 6600 1200 m 6600 1500 l gs col0 s gr % Polyline n 5700 1200 m 5700 1500 l gs col0 s gr % Polyline n 4800 1200 m 4800 1500 l gs col0 s gr % Polyline n 3900 1200 m 3900 1500 l gs col0 s gr % Polyline n 9300 1200 m 9300 1500 l gs col0 s gr % Polyline n 10200 1200 m 10200 1500 l gs col0 s gr % Polyline n 8400 1200 m 8400 1500 l gs col0 s gr % Polyline n 3000 1200 m 3000 1500 l gs col0 s gr % Polyline n 7050 1200 m 7350 1200 l gs col0 s gr % Polyline n 7500 1200 m 7500 1500 l gs col0 s gr % Polyline n 8250 1200 m 7950 1350 l 8250 1500 l gs col0 s gr % Polyline n 8850 1200 m 9150 1200 l gs col0 s gr % Polyline n 8850 1500 m 9150 1500 l gs col0 s gr % Polyline n 9750 1500 m 10050 1500 l gs col0 s gr % Polyline n 2850 3000 m 3150 3000 l gs col0 s gr % Polyline n 3750 3000 m 4050 3000 l gs col0 s gr % Polyline n 7350 3000 m 7650 3000 l gs col0 s gr % Polyline n 8550 3000 m 8100 3150 l 8250 3300 l gs col0 s gr % Polyline n 8850 3300 m 9150 3300 l gs col0 s gr % Polyline n 9150 3000 m 9450 3000 l gs col0 s gr % Polyline n 10650 3300 m 10950 3300 l gs col0 s gr % Polyline n 11550 3300 m 11850 3300 l gs col0 s gr % Polyline gs clippath 4017 2692 m 4063 2730 l 4160 2614 l 4061 2687 l 4114 2575 l cp eoclip n 4800 1800 m 4050 2700 l gs col0 s gr gr % arrowhead n 4114 2575 m 4061 2687 l 4160 2614 l col0 s % Polyline gs clippath 4922 2719 m 4982 2709 l 4956 2560 l 4947 2684 l 4897 2570 l cp eoclip n 4800 1800 m 4950 2700 l gs col0 s gr gr % arrowhead n 4897 2570 m 4947 2684 l 4956 2560 l col0 s % Polyline gs clippath 6751 2733 m 6776 2679 l 6638 2615 l 6735 2693 l 6613 2669 l cp eoclip n 4800 1800 m 6750 2700 l gs col0 s gr gr % arrowhead n 6613 2669 m 6735 2693 l 6638 2615 l col0 s % Polyline gs clippath 2222 2680 m 2251 2733 l 2384 2660 l 2265 2692 l 2355 2608 l cp eoclip n 3900 1800 m 2250 2700 l gs col0 s gr gr % arrowhead n 2355 2608 m 2265 2692 l 2384 2660 l col0 s % Polyline gs clippath 3117 2692 m 3163 2730 l 3260 2614 l 3161 2687 l 3214 2575 l cp eoclip n 3900 1800 m 3150 2700 l gs col0 s gr gr % arrowhead n 3214 2575 m 3161 2687 l 3260 2614 l col0 s % Polyline gs clippath 1325 2676 m 1345 2733 l 1489 2682 l 1366 2694 l 1469 2625 l cp eoclip n 3900 1800 m 1350 2700 l gs col0 s gr gr % arrowhead n 1469 2625 m 1366 2694 l 1489 2682 l col0 s % Polyline gs clippath 4917 2692 m 4963 2730 l 5060 2614 l 4961 2687 l 5014 2575 l cp eoclip n 5700 1800 m 4950 2700 l gs col0 s gr gr % arrowhead n 5014 2575 m 4961 2687 l 5060 2614 l col0 s % Polyline gs clippath 5822 2719 m 5882 2709 l 5856 2560 l 5847 2684 l 5797 2570 l cp eoclip n 5700 1800 m 5850 2700 l gs col0 s gr gr % arrowhead n 5797 2570 m 5847 2684 l 5856 2560 l col0 s % Polyline gs clippath 5817 2692 m 5863 2730 l 5960 2614 l 5861 2687 l 5914 2575 l cp eoclip n 6600 1800 m 5850 2700 l gs col0 s gr gr % arrowhead n 5914 2575 m 5861 2687 l 5960 2614 l col0 s % Polyline gs clippath 6741 2732 m 6780 2686 l 6665 2588 l 6737 2689 l 6626 2633 l cp eoclip n 5700 1800 m 6750 2700 l gs col0 s gr gr % arrowhead n 6626 2633 m 6737 2689 l 6665 2588 l col0 s % Polyline gs clippath 8522 2719 m 8582 2709 l 8556 2560 l 8547 2684 l 8497 2570 l cp eoclip n 8400 1800 m 8550 2700 l gs col0 s gr gr % arrowhead n 8497 2570 m 8547 2684 l 8556 2560 l col0 s % Polyline gs clippath 9441 2732 m 9480 2686 l 9365 2588 l 9437 2689 l 9326 2633 l cp eoclip n 8400 1800 m 9450 2700 l gs col0 s gr gr % arrowhead n 9326 2633 m 9437 2689 l 9365 2588 l col0 s % Polyline gs clippath 6722 2680 m 6751 2733 l 6884 2660 l 6765 2692 l 6855 2608 l cp eoclip n 8400 1800 m 6750 2700 l gs col0 s gr gr % arrowhead n 6855 2608 m 6765 2692 l 6884 2660 l col0 s % Polyline gs clippath 7622 2719 m 7682 2709 l 7656 2560 l 7647 2684 l 7597 2570 l cp eoclip n 7500 1800 m 7650 2700 l gs col0 s gr gr % arrowhead n 7597 2570 m 7647 2684 l 7656 2560 l col0 s % Polyline gs clippath 6717 2692 m 6763 2730 l 6860 2614 l 6761 2687 l 6814 2575 l cp eoclip n 7500 1800 m 6750 2700 l gs col0 s gr gr % arrowhead n 6814 2575 m 6761 2687 l 6860 2614 l col0 s % Polyline gs clippath 7641 2732 m 7680 2686 l 7565 2588 l 7637 2689 l 7526 2633 l cp eoclip n 6600 1800 m 7650 2700 l gs col0 s gr gr % arrowhead n 7526 2633 m 7637 2689 l 7565 2588 l col0 s % Polyline gs clippath 6722 2719 m 6782 2709 l 6756 2560 l 6747 2684 l 6697 2570 l cp eoclip n 6600 1800 m 6750 2700 l gs col0 s gr gr % arrowhead n 6697 2570 m 6747 2684 l 6756 2560 l col0 s % Polyline gs clippath 12151 2733 m 12176 2679 l 12038 2615 l 12135 2693 l 12013 2669 l cp eoclip n 10200 1800 m 12150 2700 l gs col0 s gr gr % arrowhead n 12013 2669 m 12135 2693 l 12038 2615 l col0 s % Polyline gs clippath 11241 2732 m 11280 2686 l 11165 2588 l 11237 2689 l 11126 2633 l cp eoclip n 10200 1800 m 11250 2700 l gs col0 s gr gr % arrowhead n 11126 2633 m 11237 2689 l 11165 2588 l col0 s % Polyline gs clippath 10322 2719 m 10382 2709 l 10356 2560 l 10347 2684 l 10297 2570 l cp eoclip n 10200 1800 m 10350 2700 l gs col0 s gr gr % arrowhead n 10297 2570 m 10347 2684 l 10356 2560 l col0 s % Polyline gs clippath 9422 2719 m 9482 2709 l 9456 2560 l 9447 2684 l 9397 2570 l cp eoclip n 9300 1800 m 9450 2700 l gs col0 s gr gr % arrowhead n 9397 2570 m 9447 2684 l 9456 2560 l col0 s % Polyline gs clippath 10341 2732 m 10380 2686 l 10265 2588 l 10337 2689 l 10226 2633 l cp eoclip n 9300 1800 m 10350 2700 l gs col0 s gr gr % arrowhead n 10226 2633 m 10337 2689 l 10265 2588 l col0 s % Polyline n 3000 6600 m 3000 6900 l gs col0 s gr % Polyline n 3900 6600 m 3900 6900 l gs col0 s gr % Polyline n 1500 4800 m 1200 5100 l gs col0 s gr % Polyline n 2400 4800 m 2100 5100 l gs col0 s gr % Polyline n 3300 4800 m 3000 5100 l gs col0 s gr % Polyline n 2550 5100 m 2850 5100 l gs col0 s gr % Polyline n 4200 4800 m 3900 5100 l gs col0 s gr % Polyline n 5100 4800 m 4800 5100 l gs col0 s gr % Polyline n 6000 4800 m 5700 5100 l gs col0 s gr % Polyline n 6900 4800 m 6600 5100 l gs col0 s gr % Polyline gs clippath 2998 6333 m 3027 6280 l 2894 6208 l 2985 6292 l 2865 6260 l cp eoclip n 1350 5400 m 3000 6300 l gs col0 s gr gr % arrowhead n 2865 6260 m 2985 6292 l 2894 6208 l col0 s % Polyline gs clippath 2986 6330 m 3032 6292 l 2935 6175 l 2989 6287 l 2889 6214 l cp eoclip n 2250 5400 m 3000 6300 l gs col0 s gr gr % arrowhead n 2889 6214 m 2989 6287 l 2935 6175 l col0 s % Polyline gs clippath 2967 6309 m 3027 6319 l 3052 6170 l 3003 6284 l 2993 6160 l cp eoclip n 3150 5400 m 3000 6300 l gs col0 s gr gr % arrowhead n 2993 6160 m 3003 6284 l 3052 6170 l col0 s % Polyline gs clippath 3886 6330 m 3932 6292 l 3835 6175 l 3889 6287 l 3789 6214 l cp eoclip n 3150 5400 m 3900 6300 l gs col0 s gr gr % arrowhead n 3789 6214 m 3889 6287 l 3835 6175 l col0 s % Polyline gs clippath 6586 6330 m 6632 6292 l 6535 6175 l 6589 6287 l 6489 6214 l cp eoclip n 5850 5400 m 6600 6300 l gs col0 s gr gr % arrowhead n 6489 6214 m 6589 6287 l 6535 6175 l col0 s % Polyline gs clippath 5667 6309 m 5727 6319 l 5752 6170 l 5703 6284 l 5693 6160 l cp eoclip n 5850 5400 m 5700 6300 l gs col0 s gr gr % arrowhead n 5693 6160 m 5703 6284 l 5752 6170 l col0 s % Polyline n 12300 4800 m 12000 5100 l gs col0 s gr % Polyline n 11550 5100 m 11850 5100 l gs col0 s gr % Polyline n 11850 4800 m 12150 4800 l gs col0 s gr % Polyline n 11400 4800 m 11100 5100 l gs col0 s gr % Polyline n 10500 4800 m 10200 5100 l gs col0 s gr % Polyline n 9600 4800 m 9300 5100 l gs col0 s gr % Polyline n 9150 4800 m 9450 4800 l gs col0 s gr % Polyline n 8850 5100 m 9150 5100 l gs col0 s gr % Polyline n 8700 4800 m 8400 5100 l gs col0 s gr % Polyline n 7800 4800 m 7500 5100 l gs col0 s gr % Polyline gs clippath 8369 6286 m 8408 6332 l 8523 6233 l 8413 6289 l 8484 6188 l cp eoclip n 9450 5400 m 8400 6300 l gs col0 s gr gr % arrowhead n 8484 6188 m 8413 6289 l 8523 6233 l col0 s % Polyline gs clippath 9273 6279 m 9300 6333 l 9435 6266 l 9315 6293 l 9408 6212 l cp eoclip n 11100 5400 m 9300 6300 l gs col0 s gr gr % arrowhead n 9408 6212 m 9315 6293 l 9435 6266 l col0 s % Polyline gs clippath 10167 6309 m 10227 6319 l 10252 6170 l 10203 6284 l 10193 6160 l cp eoclip n 10350 5400 m 10200 6300 l gs col0 s gr gr % arrowhead n 10193 6160 m 10203 6284 l 10252 6170 l col0 s % Polyline gs clippath 10168 6289 m 10210 6331 l 10318 6224 l 10212 6288 l 10275 6181 l cp eoclip n 11100 5400 m 10200 6300 l gs col0 s gr gr % arrowhead n 10275 6181 m 10212 6288 l 10318 6224 l col0 s % Polyline gs clippath 10173 6279 m 10198 6333 l 10336 6269 l 10215 6293 l 10311 6215 l cp eoclip n 12150 5400 m 10200 6300 l gs col0 s gr gr % arrowhead n 10311 6215 m 10215 6293 l 10336 6269 l col0 s % Polyline gs clippath 6573 6279 m 6598 6333 l 6736 6269 l 6615 6293 l 6711 6215 l cp eoclip n 8550 5400 m 6600 6300 l gs col0 s gr gr % arrowhead n 6711 6215 m 6615 6293 l 6736 6269 l col0 s % Polyline gs clippath 9286 6330 m 9332 6292 l 9235 6175 l 9289 6287 l 9189 6214 l cp eoclip n 8550 5400 m 9300 6300 l gs col0 s gr gr % arrowhead n 9189 6214 m 9289 6287 l 9235 6175 l col0 s % Polyline gs clippath 6598 6333 m 6627 6280 l 6494 6208 l 6585 6292 l 6465 6260 l cp eoclip n 4950 5400 m 6600 6300 l gs col0 s gr gr % arrowhead n 6465 6260 m 6585 6292 l 6494 6208 l col0 s % Polyline gs clippath 6569 6286 m 6608 6332 l 6723 6233 l 6613 6289 l 6684 6188 l cp eoclip n 7650 5400 m 6600 6300 l gs col0 s gr gr % arrowhead n 6684 6188 m 6613 6289 l 6723 6233 l col0 s % Polyline gs clippath 6567 6309 m 6627 6319 l 6652 6170 l 6603 6284 l 6593 6160 l cp eoclip n 6750 5400 m 6600 6300 l gs col0 s gr gr % arrowhead n 6593 6160 m 6603 6284 l 6652 6170 l col0 s % Polyline gs clippath 4767 6309 m 4827 6319 l 4852 6170 l 4803 6284 l 4793 6160 l cp eoclip n 4950 5400 m 4800 6300 l gs col0 s gr gr % arrowhead n 4793 6160 m 4803 6284 l 4852 6170 l col0 s % Polyline gs clippath 8386 6330 m 8432 6292 l 8335 6175 l 8389 6287 l 8289 6214 l cp eoclip n 7650 5400 m 8400 6300 l gs col0 s gr gr % arrowhead n 8289 6214 m 8389 6287 l 8335 6175 l col0 s % Polyline gs clippath 8373 6279 m 8398 6333 l 8536 6269 l 8415 6293 l 8511 6215 l cp eoclip n 10350 5400 m 8400 6300 l gs col0 s gr gr % arrowhead n 8511 6215 m 8415 6293 l 8536 6269 l col0 s % Polyline gs clippath 5669 6286 m 5708 6332 l 5823 6233 l 5713 6289 l 5784 6188 l cp eoclip n 6750 5400 m 5700 6300 l gs col0 s gr gr % arrowhead n 5784 6188 m 5713 6289 l 5823 6233 l col0 s % Polyline gs clippath 4786 6330 m 4832 6292 l 4735 6175 l 4789 6287 l 4689 6214 l cp eoclip n 4050 5400 m 4800 6300 l gs col0 s gr gr % arrowhead n 4689 6214 m 4789 6287 l 4735 6175 l col0 s % Polyline n 8250 4800 m 8550 4800 l gs col0 s gr % Polyline n 7350 4800 m 7650 4800 l gs col0 s gr % Polyline n 3450 5100 m 3750 5100 l gs col0 s gr % Polyline n 10950 4800 m 11250 4800 l gs col0 s gr % Polyline n 10350 4800 m 9900 4950 l 10050 5100 l gs col0 s gr % Polyline n 4800 6600 m 4800 6900 l gs col0 s gr % Polyline n 4350 6900 m 4650 6900 l gs col0 s gr % Polyline n 5700 6600 m 5700 6900 l gs col0 s gr % Polyline n 8400 6600 m 8400 6900 l gs col0 s gr % Polyline n 9300 6600 m 9300 6900 l gs col0 s gr % Polyline n 7950 6600 m 8250 6600 l gs col0 s gr % Polyline n 8850 6600 m 9150 6600 l gs col0 s gr % Polyline n 10200 6600 m 10200 6900 l gs col0 s gr % Polyline n 10050 6600 m 9750 6750 l 10050 6900 l gs col0 s gr % Polyline n 7950 6900 m 8250 6900 l gs col0 s gr % Polyline n 7500 6600 m 7500 6900 l gs col0 s gr % Polyline n 6600 6600 m 6600 6900 l gs col0 s gr % Polyline gs clippath 7506 6332 m 7522 6274 l 7375 6236 l 7484 6296 l 7360 6294 l cp eoclip n 4050 5400 m 7500 6300 l gs col0 s gr gr % arrowhead n 7360 6294 m 7484 6296 l 7375 6236 l col0 s % Polyline gs clippath 7504 6333 m 7524 6276 l 7380 6225 l 7484 6294 l 7360 6282 l cp eoclip n 4950 5400 m 7500 6300 l gs col0 s gr gr % arrowhead n 7360 6282 m 7484 6294 l 7380 6225 l col0 s % Polyline gs clippath 7498 6333 m 7527 6280 l 7394 6208 l 7485 6292 l 7365 6260 l cp eoclip n 5850 5400 m 7500 6300 l gs col0 s gr gr % arrowhead n 7365 6260 m 7485 6292 l 7394 6208 l col0 s % Polyline gs clippath 7486 6330 m 7532 6292 l 7435 6175 l 7489 6287 l 7389 6214 l cp eoclip n 6750 5400 m 7500 6300 l gs col0 s gr gr % arrowhead n 7389 6214 m 7489 6287 l 7435 6175 l col0 s % Polyline gs clippath 7467 6309 m 7527 6319 l 7552 6170 l 7503 6284 l 7493 6160 l cp eoclip n 7650 5400 m 7500 6300 l gs col0 s gr gr % arrowhead n 7493 6160 m 7503 6284 l 7552 6170 l col0 s % Polyline gs clippath 7469 6286 m 7508 6332 l 7623 6233 l 7513 6289 l 7584 6188 l cp eoclip n 8550 5400 m 7500 6300 l gs col0 s gr gr % arrowhead n 7584 6188 m 7513 6289 l 7623 6233 l col0 s % Polyline gs clippath 7473 6279 m 7498 6333 l 7636 6269 l 7515 6293 l 7611 6215 l cp eoclip n 9450 5400 m 7500 6300 l gs col0 s gr gr % arrowhead n 7611 6215 m 7515 6293 l 7636 6269 l col0 s % Polyline gs clippath 7476 6275 m 7494 6333 l 7639 6287 l 7516 6295 l 7621 6230 l cp eoclip n 10350 5400 m 7500 6300 l gs col0 s gr gr % arrowhead n 7621 6230 m 7516 6295 l 7639 6287 l col0 s % Polyline gs clippath 7478 6274 m 7492 6332 l 7639 6296 l 7516 6296 l 7625 6237 l cp eoclip n 11100 5400 m 7500 6300 l gs col0 s gr gr % arrowhead n 7625 6237 m 7516 6296 l 7639 6296 l col0 s % Polyline gs clippath 7479 6273 m 7490 6332 l 7639 6303 l 7516 6297 l 7628 6244 l cp eoclip n 12150 5400 m 7500 6300 l gs col0 s gr gr % arrowhead n 7628 6244 m 7516 6297 l 7639 6303 l col0 s % Polyline gs clippath 1322 2680 m 1351 2733 l 1484 2660 l 1365 2692 l 1455 2608 l cp eoclip n 3000 1800 m 1350 2700 l gs col0 s gr gr % arrowhead n 1455 2608 m 1365 2692 l 1484 2660 l col0 s % Polyline 30.000 slw gs clippath 2217 2692 m 2263 2730 l 2360 2614 l 2261 2687 l 2314 2575 l cp eoclip n 3000 1800 m 2250 2700 l gs col0 s gr gr % arrowhead 7.500 slw n 2314 2575 m 2261 2687 l 2360 2614 l col0 s % Polyline 30.000 slw gs clippath 3904 6333 m 3924 6276 l 3780 6225 l 3884 6294 l 3760 6282 l cp eoclip n 1350 5400 m 3900 6300 l gs col0 s gr gr % arrowhead 7.500 slw n 3760 6282 m 3884 6294 l 3780 6225 l col0 s % Polyline 30.000 slw gs clippath 3898 6333 m 3927 6280 l 3794 6208 l 3885 6292 l 3765 6260 l cp eoclip n 2250 5400 m 3900 6300 l gs col0 s gr gr % arrowhead 7.500 slw n 3765 6260 m 3885 6292 l 3794 6208 l col0 s /Times-Roman-iso ff 270.00 scf sf 4950 3900 m gs 1 -1 sc (Edges from 0-states to 1-states) col0 sh gr /Times-Roman-iso ff 270.00 scf sf 4950 7500 m gs 1 -1 sc (Edges from 1-states to 0-states) col0 sh gr % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 4800 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9300 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 10200 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4800 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7500 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9300 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 11100 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9300 5100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6600 5100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 5100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 11100 5100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4800 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 9300 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 8400 6900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 1105 2345 a Fn(Figure)27 b(9:)36 b(Edges)27 b(b)r(et)n(w)n(een)g(state)h(classes)e(of)i Fj(B)t Fn($2$.)515 2598 y(color,)21 b(e\013ectiv)n(ely)f(forming)g(a)h(virtual)f(edge.)34 b(An)n(y)21 b(suc)n(h)f(state)h Fj(s)2548 2568 y Fb(0)2592 2598 y Fn(can)f(clearly)g(b)n(y)g(reac)n(hed)515 2698 y(from)27 b(the)h(stoneless)f(0-state)f(in)i Fj(m)g Fn(steps.)1466 b Fi(\017)515 2896 y Fg(Lemma)31 b(7)41 b Fm(Ther)l(e)36 b(is)f(a)h(1-1)f(c)l(orr)l(esp)l(ondenc)l(e)h(b)l(etwe)l(en)e(pseudole) l(gal)j(p)l(artial)f(p)l(ositions)515 2995 y(up)24 b(to)h Fn($)p Fj(n;)14 b(y)s Fn($)25 b Fm(and)g(p)l(aths)g(of)h(length)f Fj(mn)8 b Fn(+)g Fj(y)25 b Fm(thr)l(ough)g(the)g(augmente)l(d)g(b)l(or) l(der)g(state)g(gr)l(aph)515 3095 y(that)k(start)h(at)f(the)h(al)t(l-e) l(dge)i(state.)639 3257 y Fg(Pr)n(oof.)44 b Fn(By)30 b(induction)h(on)f Fj(mn)20 b Fn(+)g Fj(y)s Fn(.)44 b(The)31 b(unique)f(partial)g(p)r(osition)g(up)g(to)h($0)p Fj(;)14 b Fn(0$)515 3357 y(corresp)r(onds)31 b(to)j(the)g(length)f(0)g(path)h (starting)e(at)i(the)f(all-edge)g(state.)54 b(F)-7 b(urthermore,)515 3456 y(for)32 b(a)g(path)g(ending)g(at)g(state)h Fj(s)f Fn(corresp)r(onding)e(to)j(a)f(pseudolegal)f(partial)g(p)r(osition)h Fj(p)515 3556 y Fn(up)h(to)g($)p Fj(n;)14 b(y)s Fn($,)35 b(the)e(successors)e(of)i Fj(s)g Fn(corresp)r(ond)e(exactly)i(to)g(the) g(pseudolegal)f(partial)515 3655 y(p)r(ositions)c Fj(p)907 3625 y Fb(0)959 3655 y Fn(up)h(to)f($)p Fj(n;)14 b(y)22 b Fn(+)d(1$)28 b($or)g(\()p Fj(n)20 b Fn(+)e(1)p Fj(;)c Fn(0$)28 b(for)h Fj(y)e Fn(=)d Fj(m)19 b Fi(\000)g Fn(1\))29 b(that)g(extend)g Fj(p)f Fn(b)n(y)g(one)515 3755 y(p)r(oin)n(t.)2610 b Fi(\017)515 4020 y Fe(4.4)112 b(Recurrences)515 4173 y Fg(Definition)32 b(5)f($st)-6 b(a)g(te)33 b(counts$)41 b Fm(F)-6 b(or)27 b(an)1988 4106 y Fd(\000)2026 4136 y Fk(m)2037 4202 y(y)2085 4106 y Fd(\001)2123 4173 y Fm(-state)f Fj(s)p Fm(,)h(denote)g(by)g Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g(s)p Fn($)26 b Fm(the)515 4283 y(numb)l(er)k(of)i(pseudole)l(gal)h(p)l(artial)f(p)l(ositions)g(up)f (to)g Fn($)p Fj(n;)14 b(y)s Fn($)30 b Fm(that)h(have)h(b)l(or)l (der/e)l(dge)h(state)515 4383 y Fj(s)25 b Fm($or)g(e)l(quivalently,)j (the)d(numb)l(er)g(of)h(p)l(aths)g(of)g(length)f Fj(mn)9 b Fn(+)g Fj(y)26 b Fm(in)g(the)f(augmente)l(d)g(b)l(or)l(der)515 4483 y(state)33 b(gr)l(aph)h(fr)l(om)g(the)f(al)t(l-e)l(dge)i(state)d (to)i Fj(s)p Fm($.)48 b(Cal)t(l)35 b(a)f Fj(y)s Fm(-state)e Fj(s)h Fn(legal)f Fm(if)i Fj(y)e Fn(=)d(0)j Fm(and)i Fj(s)515 4582 y Fm(has)c(no)g(lib)l(ertyless)h(stones.)639 4744 y Fn(Ob)n(viously)-7 b(,)27 b(w)n(e)g(ha)n(v)n(e)515 4907 y Fg(Lemma)k(8)g($color)g(symmetr)-6 b(y$)42 b Fm(L)l(et)26 b(state)f Fj(s)2071 4876 y Fb(0)2120 4907 y Fm(b)l(e)g(derive)l(d)j(fr)l(om)e(state)f Fj(s)g Fm(by)h(r)l (eversing)515 5006 y(the)k(c)l(olors)g(of)h(al)t(l)g(stones.)38 b(Then)31 b Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g(s)p Fn($)22 b(=)g Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g(s)2564 4976 y Fb(0)2586 5006 y Fn($)p Fm(.)1905 5255 y Fn(12)p eop end %%Page: 13 13 TeXDict begin 13 12 bop 515 523 a Fg(Definition)32 b(6)f($st)-6 b(a)g(te)33 b(classes$)41 b Fm(We)h(de\014ne)f(a)h Fn(state)d(class)p Fm(,)44 b(denote)l(d)e Fn([)p Fj(s)p Fn(])p Fm(,)i(as)e(the)515 623 y(e)l(quivalenc)l(e)34 b(class)h(of)f(state)f Fj(s)h Fm(under)f(c)l(olor)i(r)l(eversal.)51 b(Cal)t(l)35 b(a)f(state)g(class) g Fn(legal)f Fm(when)515 722 y(its)c(memb)l(ers)h(ar)l(e,)h(and)f (de\014ne)g Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g Fn([)p Fj(s)p Fn(]$)22 b(=)2140 660 y Fd(P)2227 747 y Fk(s)2258 731 y Fp(0)2281 747 y Fb(2)p Fh([)p Fk(s)p Fh(])2413 722 y Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g(s)2819 692 y Fb(0)2841 722 y Fn($)p Fm(.)639 902 y Fn(Note)19 b(that)f(all)h (equiv)-5 b(alence)18 b(classes,)h(except)f(for)g(stoneless)g(states,)h (consist)f(of)h(exactly)515 1001 y(2)27 b(states.)36 b(These)28 b(de\014nitions)f(immediately)h(imply)515 1181 y Fg(Lemma)j(9)41 b Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b(=)1303 1118 y Fd(P)1390 1210 y Fm(le)l(gal)31 b Fk(s)1626 1181 y Fj(L)p Fn($)p Fj(m;)14 b(n;)g Fn(0)p Fj(;)g(s)p Fn($)22 b(=)2172 1118 y Fd(P)2260 1210 y Fm(le)l(gal)30 b Fh([)p Fk(s)p Fh(])2533 1181 y Fj(L)p Fn($)p Fj(m;)14 b(n;)g Fn(0)p Fj(;)g Fn([)p Fj(s)p Fn(]$)p Fm(.)639 1372 y Fn(Another)28 b(form)f(of)g(symmetry)h(o)r(ccurs)e(in)i (0-states)e(only:)515 1551 y Fg(Lemma)31 b(10)g($up-do)n(wn)h(symmetr) -6 b(y$)43 b Fm(L)l(et)25 b(state)h Fj(s)2222 1521 y Fb(0)2271 1551 y Fm(b)l(e)h(derive)l(d)g(fr)l(om)g Fn(0)p Fm(-state)e Fj(s)h Fm(by)g(r)l(e-)515 1651 y(versing)c(the)f(or)l(der)h (of)g(p)l(oints)g(fr)l(om)f(top)h(to)f(b)l(ottom.)36 b(Then)22 b Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g(s)p Fn($)22 b(=)h Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g(s)3333 1620 y Fb(0)3355 1651 y Fn($)515 1750 y Fm(and)30 b Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g Fn([)p Fj(s)p Fn(]$)22 b(=)h Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g Fn([)p Fj(s)1699 1720 y Fb(0)1721 1750 y Fn(]$)p Fm(.)639 1929 y Fn(W)-7 b(e)28 b(refer)f(to)g(state)g(classes)g(resulting)f (from)i(including)f(up-do)n(wn)g(symmetry)g(in)h(ad-)515 2029 y(dition)g(to)f(color)f(symmetry)h(as)g(up/do)n(wn)g(classes.)515 2208 y Fg(Definition)32 b(7)f($st)-6 b(a)g(te)33 b(count)e(vector$)42 b Fm(Denote)23 b(by)i Fc(L)p Fn($)p Fj(m;)14 b(n;)g(y)s Fn($)24 b Fm(the)g(state-indexe)l(d)515 2308 y(ve)l(ctor)j(with)g (elements)g Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g(s)p Fn($)26 b Fm(for)i(al)t(l)g(c)l(onstructible)e Fj(y)s Fm(-states)g Fj(s)h Fm($e)l(dge)h(states)e(for)515 2408 y Fj(n)d Fn(=)f(0)p Fm(,)27 b(b)l(or)l(der)f(states)f(for)i Fj(n)c(>)f Fn(0)p Fm($)j(and)i(by)f Fc(l)1925 2420 y Fk(m)2013 2408 y Fm(the)g(char)l(acteristic)h(ve)l(ctor)f(of)h(le)l (gal)f(states)515 2507 y(of)k(height)h Fj(m)p Fm(.)639 2687 y Fn(No)n(w)c(Lemma)h(9)f(can)g(b)r(e)h(expressed)f(as)1515 2866 y Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b(=)f Fc(l)1933 2832 y Fk(T)1933 2887 y(m)1996 2866 y Fc(L)p Fn($)p Fj(m;)14 b(n;)g Fn(0$)p Fj(:)515 3045 y Fn(The)27 b(follo)n(wing)e (crucial)h(observ)-5 b(ation)26 b(forms)g(the)h(basis)f(for)g(the)i (recurrences)c(w)n(e)j(deriv)n(e.)515 3145 y(Since)d Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)g Fn(+)d(1)p Fj(;)j(s)p Fn($)21 b(equals)i(the)h(sum)g(of)f Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g(s)2371 3115 y Fb(0)2393 3145 y Fn($)25 b(o)n(v)n(er)c(all)j(predecessor)e(states)515 3245 y Fj(s)554 3215 y Fb(0)612 3245 y Fn(of)35 b Fj(s)g Fn(in)g(the)g(augmen) n(ted)f(b)r(order)g(state)h(graph,)h(it)f(follo)n(ws)f(that)h(the)g(b)r (order)f(state)515 3344 y(v)n(ectors)27 b Fc(L)p Fn($)p Fj(m;)14 b(n;)g(y)s Fn($)p Fj(;)g(n)26 b(>)f Fn(0)j(are)g(related)h(b) n(y)f(linear)h(transformations)e Fc(T)2867 3356 y Fk(m;y)2986 3344 y Fn(,)i(suc)n(h)g(that)515 3444 y Fc(L)p Fn($)p Fj(m;)14 b(n;)g(y)19 b Fn(+)c(1$)23 b(=)g Fc(T)1192 3456 y Fk(m;y)1311 3444 y Fc(L)p Fn($)p Fj(m;)14 b(n;)g(y)s Fn($)26 b($and)h Fc(L)p Fn(\()p Fj(m;)14 b(n)i Fn(+)g(1)p Fj(;)e Fn(0$)22 b(=)h Fc(T)2567 3456 y Fk(m;m)p Fb(\000)p Fh(1)2794 3444 y Fc(L)p Fn($)p Fj(m;)14 b(n;)g(m)i Fi(\000)g Fn(1$\).)515 3544 y(Indeed,)28 b(the)h Fc(T)1018 3556 y Fk(m;y)1165 3544 y Fn(app)r(ear)e(as)g(submatrices)h(of)g(the)g (transp)r(osed)f(adjacency)h(matrix)f(of)515 3643 y(the)e(b)r(order)f (state)h(graph.)35 b(As)25 b(a)g(consequence,)f(successiv)n(e)g (0-state)g(v)n(ectors)g(are)g(related)515 3743 y(as)911 3942 y Fc(L)p Fn($)p Fj(m;)14 b(n)19 b Fn(+)f(1)p Fj(;)c Fn(0$)22 b(=)h Fc(T)1591 3954 y Fk(m;m)p Fb(\000)p Fh(1)1818 3942 y Fc(T)1884 3954 y Fk(m;m)p Fb(\000)p Fh(2)2125 3942 y Fj(:)14 b(:)g(:)f Fc(T)2301 3954 y Fk(m;)p Fh(1)2418 3942 y Fc(T)2484 3954 y Fk(m;)p Fh(0)2600 3942 y Fc(L)p Fn($)p Fj(m;)h(n;)g Fn(0$)p Fj(:)639 4090 y Fn(Th)n(us)28 b(w)n(e)f(are)f(led)i(to)g(de\014ne)515 4269 y Fg(Definition)k(8)f ($Recurrence)i(ma)-6 b(trix$)42 b Fm(L)l(et)29 b Fc(T)2204 4281 y Fk(m)2291 4269 y Fn(=)22 b Fc(T)2444 4281 y Fk(m;m)p Fb(\000)p Fh(1)2685 4269 y Fj(:)14 b(:)g(:)g Fc(T)2862 4281 y Fk(m;)p Fh(0)2978 4269 y Fm(.)639 4448 y Fn(This)28 b(leads)f(to)g(a)h(matrix)f(p)r(o)n(w)n(er)f(expression)g(for)h Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($:)1421 4628 y Fj(L)p Fn($)p Fj(m;)g(n)p Fn($)22 b(=)h Fc(l)1839 4593 y Fk(T)1839 4648 y(m)1902 4628 y Fc(T)1968 4593 y Fk(n)p Fb(\000)p Fh(1)1968 4648 y Fk(m)2098 4628 y Fc(L)p Fn($)p Fj(m;)14 b Fn(1)p Fj(;)g Fn(0$)p Fj(:)639 4807 y Fn(F)-7 b(urthermore,)24 b Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)24 b(can)f(b)r(e)h(sho)n(wn)f(to) h(satisfy)g(a)f(recurrence)f(not)i(in)n(v)n(olving)f(the)515 4907 y(b)r(order)29 b(state)h(coun)n(ts.)44 b(T)-7 b(o)30 b(simplify)h(the)f(follo)n(wing)f(deriv)-5 b(ations,)30 b Fj(m)g Fn(is)g(understo)r(o)r(d)g(to)515 5006 y(b)r(e)e(\014xed)f (and)h(is)f(dropp)r(ed)h(from)f(the)h(notation,)f(so)g(that)h Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b(=)f Fc(l)2793 4976 y Fk(T)2845 5006 y Fc(T)2911 4976 y Fk(n)p Fb(\000)p Fh(1)3042 5006 y Fc(L)p Fn($1)p Fj(;)14 b Fn(0$.)1905 5255 y(13)p eop end %%Page: 14 14 TeXDict begin 14 13 bop 515 523 a Fg(Theorem)32 b(1)41 b Fm(F)-6 b(or)35 b(\014xe)l(d)f Fj(m)p Fm(,)i Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)34 b Fm(satis\014es)h(a)g(line)l(ar)g(r)l (e)l(curr)l(enc)l(e)f(whose)h(or)l(der)h(is)515 623 y(at)29 b(most)h(the)g(numb)l(er)f(of)h(valid)i Fn(0)p Fm(-states.)639 799 y Fg(Pr)n(oof.)k Fn(Let)28 b Fj(p)p Fn($)p Fj(\025)p Fn($)h(b)r(e)f(the)g(c)n(haracteristic)d(p)r(olynomial)i(of)h(the)g Fj(r)21 b Fi(\002)d Fj(r)30 b Fn(matrix)d Fc(T)p Fn(,)964 975 y Fj(p)p Fn($)p Fj(\025)p Fn($)d(=)e(det)q($)p Fj(\025)p Fc(I)d Fi(\000)f Fc(T)p Fn($)24 b(=)e Fj(\025)1820 941 y Fk(r)1876 975 y Fn(+)c Fj(a)2003 987 y Fk(r)r Fb(\000)p Fh(1)2125 975 y Fj(\025)2173 941 y Fk(r)r Fb(\000)p Fh(1)2313 975 y Fn(+)g Fi(\001)c(\001)g(\001)19 b Fn(+)f Fj(a)2639 987 y Fh(1)2676 975 y Fj(\025)h Fn(+)f Fj(a)2870 987 y Fh(0)2907 975 y Fj(:)515 1151 y Fn(By)27 b(the)h(Ca)n(yley-Hamilton)e (theorem,)h Fj(p)p Fn($)p Fc(T)p Fn($)d(=)f Fc(0)p Fn(.)36 b(It)28 b(follo)n(ws)f(that)1265 1328 y Fc(T)1331 1293 y Fk(r)1392 1328 y Fn(=)22 b Fi(\000)p Fn($)p Fj(a)1620 1340 y Fk(r)r Fb(\000)p Fh(1)1742 1328 y Fc(T)1808 1293 y Fk(r)r Fb(\000)p Fh(1)1948 1328 y Fn(+)c Fi(\001)c(\001)g(\001)19 b Fn(+)f Fj(a)2274 1340 y Fh(1)2311 1328 y Fc(T)h Fn(+)f Fj(a)2523 1340 y Fh(0)2560 1328 y Fc(I)p Fn($)515 1504 y(and)27 b(b)n(y)g(m)n(ultiplication)h(b)n(y)g Fc(T)1506 1474 y Fk(k)q Fb(\000)p Fh(1)1659 1504 y Fn(that)1037 1680 y Fc(T)1103 1646 y Fk(r)r Fh(+)p Fk(k)q Fb(\000)p Fh(1)1336 1680 y Fn(=)22 b Fi(\000)p Fn($)p Fj(a)1564 1692 y Fk(r)r Fb(\000)p Fh(1)1686 1680 y Fc(T)1752 1646 y Fk(r)r Fh(+)p Fk(k)q Fb(\000)p Fh(2)1980 1680 y Fn(+)c Fi(\001)c(\001)g(\001)k Fn(+)g Fj(a)2305 1692 y Fh(1)2343 1680 y Fc(T)2409 1646 y Fk(k)2468 1680 y Fn(+)g Fj(a)2595 1692 y Fh(0)2632 1680 y Fc(T)2698 1646 y Fk(k)q Fb(\000)p Fh(1)2825 1680 y Fn($)515 1857 y(for)27 b(all)g Fj(k)f Fi(\025)d Fn(1.)36 b(Multiplying)28 b(b)n(y)f Fc(l)1609 1826 y Fk(T)1689 1857 y Fn(on)g(the)h(left)h(and)e Fc(L)p Fn($1$)h(on)f(the)h(righ)n(t)f(yields)625 2037 y Fj(L)p Fn($)p Fj(m;)14 b(k)21 b Fn(+)d Fj(r)r Fn($)24 b(=)e Fc(l)1180 2003 y Fk(T)1232 2037 y Fc(T)1298 2003 y Fk(r)r Fh(+)p Fk(k)q Fb(\000)p Fh(1)1508 2037 y Fc(L)p Fn($1)p Fj(;)14 b Fn(0$)1066 2161 y(=)22 b Fi(\000)p Fn($)p Fj(a)1294 2173 y Fk(r)r Fb(\000)p Fh(1)1416 2161 y Fj(L)p Fn(\()p Fj(m;)14 b(k)21 b Fn(+)d Fj(r)j Fi(\000)d Fn(1$)g(+)g Fi(\001)c(\001)g(\001)19 b Fn(+)f Fj(a)2321 2173 y Fh(1)2358 2161 y Fj(L)p Fn($)p Fj(m;)c(k)21 b Fn(+)d(1$)g(+)g Fj(a)2923 2173 y Fh(0)2960 2161 y Fj(L)p Fn($)p Fj(m;)c(k)s Fn($\))515 2334 y(for)27 b(all)g Fj(k)f Fi(\025)d Fn(1,)k(pro)n(ving)f (the)i(theorem.)1569 b Fi(\017)639 2469 y Fn(By)27 b(expressing)f Fc(T)i Fn(in)g(terms)f(of)h(state)f(classes)f(rather)h(than)g(states,)h (and)f(mo)r(difying)515 2569 y Fc(l)542 2539 y Fk(T)620 2569 y Fn(and)e Fc(L)p Fn($1)p Fj(;)14 b Fn(0$)26 b(accordingly)e ($as)i(illustrated)g(in)g(section)g(4.4.1$,)f(w)n(e)h(obtain)f(a)h (stronger)515 2669 y(upp)r(erb)r(ound)31 b(on)g(the)h(order,)e(namely)h (the)h(n)n(um)n(b)r(er)e(of)h(v)-5 b(alid)32 b(0-state)e(classes)f(as)i (giv)n(en)515 2768 y(in)e(T)-7 b(able)28 b(1.)40 b(Finally)-7 b(,)29 b(that)g(b)r(ound)g(ma)n(y)f(b)r(e)h(nearly)f(halv)n(ed)g(again) f(b)n(y)h(using)h(up/do)n(wn)515 2868 y(classes.)639 2967 y(The)24 b(structure)e(of)h(solutions)g(to)g(linear)f(recurrences) g(is)h(w)n(ell)g(kno)n(wn)f([1].)35 b(Theorem)22 b(1)515 3067 y(implies)515 3243 y Fg(Cor)n(ollar)-6 b(y)31 b(3)41 b Fm(F)-6 b(or)30 b(\014xe)l(d)f Fj(m)p Fm(,)h Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)30 b Fm(c)l(an)f(b)l(e)h(written)g(in)f (the)h(form)1541 3436 y Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b(=)1932 3357 y Fd(X)1974 3536 y Fk(k)2066 3436 y Fj(q)2103 3448 y Fk(k)2144 3436 y Fn($)p Fj(n)p Fn($)p Fj(l)2285 3402 y Fk(n)2283 3457 y(k)2330 3436 y Fj(;)515 3687 y Fm(wher)l(e)32 b Fj(l)776 3699 y Fk(k)848 3687 y Fm(ar)l(e)g(the)g(distinct)g(eigenvalues)h(of)g Fc(T)p Fm(,)g(and)f Fj(q)2291 3699 y Fk(k)2363 3687 y Fm(ar)l(e)g(p)l (olynomials)i(of)f(de)l(gr)l(e)l(e)f(at)515 3787 y(most)d(multiplicity) r Fn($)p Fj(l)1181 3799 y Fk(k)1222 3787 y Fn($)18 b Fi(\000)g Fn(1)p Fm(.)639 3963 y Fn(Notice)35 b(that)g(some)f(of)g (the)h(terms)f(ma)n(y)g(v)-5 b(anish)34 b(but)h(not)g(the)g(largest)e (eigen)n(v)-5 b(alue,)515 4063 y(whic)n(h)23 b(w)n(e)g(ha)n(v)n(e)g (additional)g(information)g(ab)r(out.)35 b(First)24 b(a)f(tec)n(hnical) g(lemma)g(is)h(needed.)515 4239 y Fg(Lemma)31 b(11)41 b Fm(If)31 b Fj(l)1070 4251 y Fk(k)1134 4239 y Fi(6)p Fn(=)23 b(0)29 b Fm(is)h(an)g(eigenvalue)i(of)e Fc(T)h Fm(of)g(multiplicity)g(1)f(with)h(c)l(orr)l(esp)l(onding)515 4357 y(left)f(and)g(right)h(eigenve)l(ctors)f Fc(e)1526 4327 y Fk(T)1608 4357 y Fm(and)g Fc(f)39 b Fm(then)30 b Fj(q)2059 4369 y Fk(k)2129 4357 y Fm(is)g(the)g(c)l(onstant)2697 4317 y Fa(l)2718 4292 y Fs(T)2764 4317 y Fa(fe)2821 4292 y Fs(T)2868 4317 y Fa(L)p Fh($1)p Fk(;)p Fh(0$)p 2697 4338 354 4 v 2845 4386 a Fk(l)2866 4395 y Fs(k)3061 4357 y Fm(.)639 4547 y Fg(Pr)n(oof.)k Fn(Let)19 b Fc(T)24 b Fn(=)e Fc(VJV)1471 4517 y Fb(\000)p Fh(1)1581 4547 y Fn(b)r(e)e(the)g(Jordan)e(canonical)g(decomp)r(osition)h(of)h Fc(T)p Fn(.)34 b(Th)n(us)515 4647 y Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)45 b(=)h Fc(l)979 4616 y Fk(T)1031 4647 y Fc(T)1097 4616 y Fk(n)p Fb(\000)p Fh(1)1227 4647 y Fc(L)p Fn($1)p Fj(;)14 b Fn(0$)46 b(=)g Fc(l)1653 4616 y Fk(T)1705 4647 y Fc(VJ)1826 4616 y Fk(n)p Fb(\000)p Fh(1)1956 4647 y Fc(V)2029 4616 y Fb(\000)p Fh(1)2119 4647 y Fc(L)p Fn($1)p Fj(;)14 b Fn(0$.)78 b(Since)42 b Fj(l)2718 4659 y Fk(k)2800 4647 y Fn(has)f(m)n(ultiplicit)n(y)515 4746 y(one,)c(it)g(m)n(ust)e(ha)n(v)n(e)g(a)g(single)h(corresp)r (onding)e(Jordan)g(blo)r(c)n(k)h(of)h(size)g(1.)61 b(Due)36 b(to)g(the)515 4846 y(structure)30 b(of)g Fj(J)39 b Fn(only)30 b(this)g(blo)r(c)n(k)g(can)g(pro)n(vide)g Fj(l)2108 4816 y Fk(n)2106 4869 y(k)2183 4846 y Fn(terms)g(to)g Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($,)31 b(more)f(precisely)515 4945 y Fc(l)542 4915 y Fk(T)594 4945 y Fj(el)660 4910 y Fk(n)p Fb(\000)p Fh(1)658 4970 y Fk(k)789 4945 y Fj(f)839 4915 y Fk(T)891 4945 y Fc(L)p Fn($1)p Fj(;)14 b Fn(0$)2204 b Fi(\017)1905 5255 y Fn(14)p eop end %%Page: 15 15 TeXDict begin 15 14 bop 515 523 a Fg(Theorem)32 b(2)41 b Fm(Ther)l(e)31 b(exist)e Fj(a)1483 535 y Fk(m)1569 523 y Fj(>)23 b Fn(0)p Fm(,)29 b Fn(0)23 b Fj(<)g(\025)1954 535 y Fk(m)2040 523 y Fi(\024)g Fn(3)2170 493 y Fk(m)2232 523 y Fm(,)31 b(and)f Fn(0)22 b Fj(<)h(\036)2650 535 y Fk(m)2737 523 y Fj(<)f Fn(1)29 b Fm(such)h(that)1406 706 y Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b(=)g Fj(a)1842 718 y Fk(m)1905 706 y Fj(\025)1953 671 y Fk(n)1953 726 y(m)2016 706 y Fn($1)18 b(+)g Fj(r)r Fn(\()p Fj(m;)c(n)p Fn($\))515 888 y Fm(with)30 b Fj(r)r Fn($)p Fj(m;)14 b(n)p Fn($)24 b(=)f Fj(O)r Fn($)p Fj(\036)1216 858 y Fk(n)1216 909 y(m)1280 888 y Fn($)p Fm(.)639 1071 y Fg(Pr)n(oof.)53 b Fn(By)33 b(lemma)g(6)g(it)h(follo)n(ws)e(that)h Fc(T)h Fn(is)f(regular,)g(i.e.)g Fc(T)2721 1041 y Fk(k)2796 1071 y Fn(is)g($elemen)n(t)n(wise$)515 1171 y(p)r(ositiv)n(e)26 b(for)g(some)h Fj(k)s Fn(.)36 b(Since,)27 b(b)n(y)g(construction,)f Fc(T)i Fn(is)e(also)g(non-negativ)n(e,)f(the)j(P)n(erron-)515 1270 y(F)-7 b(rob)r(enius)24 b(theorem)g(guaran)n(tees)f(the)i (existence)g(of)f(a)h(real)f(p)r(ositiv)n(e)g(eigen)n(v)-5 b(alue)24 b Fj(l)3156 1282 y Fh(1)3218 1270 y Fn(with)515 1370 y(the)i(prop)r(erties)e(that)i(it)g(has)f(m)n(ultiplicit)n(y)h (one,)g(is)g(larger)d(in)j(magnitude)g(than)f(all)h(other)515 1469 y(eigen)n(v)-5 b(alues,)43 b(and)e(has)f(left)i(and)e(righ)n(t)h (eigen)n(v)n(ectors)d Fc(e)2389 1439 y Fk(T)2482 1469 y Fn(and)j Fc(f)50 b Fn(with)42 b(all)e(elemen)n(ts)515 1588 y(p)r(ositiv)n(e.)33 b(F)-7 b(rom)19 b(Lemma)f(11)g(it)i(follo)n (ws)e(that)h Fj(q)1997 1600 y Fh(1)2034 1588 y Fn($)p Fj(n)p Fn($)24 b(=)2269 1547 y Fa(l)2290 1522 y Fs(T)2336 1547 y Fa(fe)2393 1522 y Fs(T)2440 1547 y Fa(L)p Fh($1)p Fk(;)p Fh(0$)p 2269 1569 354 4 v 2417 1616 a Fk(l)2438 1625 y Fs(k)2632 1588 y Fn(,)d(whic)n(h)e(is)g(guaran)n(teed)515 1703 y(to)27 b(b)r(e)h(a)f(p)r(ositiv)n(e)g(constan)n(t)g(since)g Fc(l)1670 1673 y Fk(T)1749 1703 y Fn(and)h Fc(L)p Fn($1)p Fj(;)14 b Fn(0$)27 b(are)g(non-negativ)n(e)e(and)j(not)f(all)g(zero) 515 1816 y(whereas)f Fc(e)i Fn(and)g Fc(f)37 b Fn(are)27 b(p)r(ositiv)n(e.)38 b(No)n(w)27 b Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b(=)h Fj(q)2228 1828 y Fh(1)2265 1816 y Fj(l)2292 1786 y Fk(n)2290 1837 y Fh(1)2337 1816 y Fn($1)18 b(+)2512 1754 y Fd(P)2600 1841 y Fk(k)q(>)p Fh(1)2750 1776 y Fk(q)2780 1785 y Fs(k)2816 1776 y Fh(\()p Fk(n)p Fh($)p 2750 1797 160 4 v 2798 1845 a Fk(q)2828 1853 y Fq(1)2929 1782 y Fk(l)2950 1791 y Fs(k)p 2929 1797 58 4 v 2931 1845 a Fk(l)2952 1853 y Fq(1)2996 1762 y Fk(n)3042 1816 y Fn(\))28 b(and)g(the)515 1948 y(claimed)c(result)g (follo)n(ws)f($for)i(an)n(y)e(max)1778 1960 y Fk(k)q(>)p Fh(1)1927 1908 y Fb(j)p Fk(l)1968 1917 y Fs(k)2004 1908 y Fb(j)p 1927 1929 97 4 v 1949 1977 a Fk(l)1970 1985 y Fq(1)2057 1948 y Fj(<)g(\036)2194 1960 y Fk(m)2280 1948 y Fj(<)g Fn(1$.)36 b(The)24 b(upp)r(er)h(b)r(ound)f(on)h Fj(\025)3316 1960 y Fk(m)515 2048 y Fn(follo)n(ws)h(necessarily)g(from) i(the)g(trivial)f(upp)r(er)g(b)r(ound)h Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b Fi(\024)g Fn(3)2715 2018 y Fk(mn)2818 2048 y Fn(.)496 b Fi(\017)639 2183 y Fn(The)36 b(recursion)e(co)r(e\016cien)n(ts)i(are)f(most)g(easily)g(obtained)h(b) n(y)g(computing)f Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)515 2283 y(for)29 b Fj(n)d Fn(=)g(1)p Fj(;)14 b(:)g(:)g(:)f(;)h Fn(2)p Fj(s)29 b Fn(b)n(y)g(the)h(dynamic)f(programming)f(algorithm)g (in)i(section)f(4.5.)42 b(Since)515 2382 y(w)n(e)27 b(kno)n(w)g(that)g (the)h(sequence)f(m)n(ust)h(satisfy)f Fm(some)34 b Fn(linear)27 b(recurrence,)f(the)i(problem)f(is)515 2482 y(reduced)33 b(to)h(determining)f(the)i(minimal)f(order)e(and)h(the)i(corresp)r (onding)c(co)r(e\016cien)n(ts.)515 2582 y(Moreo)n(v)n(er,)24 b(w)n(e)i(kno)n(w)f(that)i(the)g(minimal)g(order)e(is)h(upp)r(er-b)r (ounded)h(b)n(y)f(the)h(n)n(um)n(b)r(er)f(of)515 2681 y(v)-5 b(alid)27 b(state)h(classes)e Fj(s)i Fn(giv)n(en)e(in)i(T)-7 b(able)28 b(1.)515 2864 y Fg(Lemma)j(12)41 b Fm(Assume)35 b(that)h(the)g(se)l(quenc)l(e)g Fj(x)p Fn($1$)p Fj(;)14 b(x)p Fn($2$)p Fj(;)g(:)g(:)g(:)50 b Fm(satis\014es)36 b(the)g(line)l(ar)h(r)l(e)l(cur-)515 2964 y(r)l(enc)l(e)927 3063 y Fj(x)p Fn($)p Fj(k)22 b Fn(+)c Fj(r)r Fn($)25 b(=)d Fj(c)1373 3075 y Fk(r)r Fb(\000)p Fh(1)1495 3063 y Fj(x)p Fn($)p Fj(k)g Fn(+)c Fj(r)j Fi(\000)d Fn(1$)g(+)g Fi(\001)c(\001)g(\001)19 b Fn(+)f Fj(c)2273 3075 y Fh(1)2310 3063 y Fj(x)p Fn($)p Fj(k)k Fn(+)c(1$)g(+)g Fj(c)2748 3075 y Fh(0)2785 3063 y Fj(x)p Fn($)p Fj(k)s Fn($)p Fj(:)515 3213 y Fm(Then)30 b(the)g(c)l(o)l(e\016cients)g Fj(c)1328 3225 y Fk(i)1386 3213 y Fm(satisfy)g(the)g(e)l(quation)g (system)850 3326 y Fd(0)850 3472 y(B)850 3522 y(B)850 3572 y(B)850 3625 y(@)922 3390 y Fj(x)p Fn($1$)155 b Fj(x)p Fn($2$)f Fj(:)14 b(:)g(:)189 b(x)p Fn($)p Fj(r)r Fn($)922 3489 y Fj(x)p Fn($2$)155 b Fj(x)p Fn($3$)f Fj(:)14 b(:)g(:)117 b(x)p Fn($)p Fj(r)22 b Fn(+)c(1$)987 3578 y Fm(.)987 3611 y(.)987 3644 y(.)1294 3578 y(.)1294 3611 y(.)1294 3644 y(.)1545 3586 y(.)1579 3611 y(.)1614 3636 y(.)1886 3578 y(.)1886 3611 y(.)1886 3644 y(.)923 3744 y Fj(x)p Fn($)p Fj(r)r Fn($)86 b Fj(x)p Fn($)p Fj(r)22 b Fn(+)c(1$)83 b Fj(:)14 b(:)g(:)97 b(x)p Fn($2)p Fj(r)21 b Fi(\000)d Fn(1$)2067 3326 y Fd(1)2067 3472 y(C)2067 3522 y(C)2067 3572 y(C)2067 3625 y(A)2153 3326 y(0)2153 3472 y(B)2153 3522 y(B)2153 3572 y(B)2153 3625 y(@)2268 3390 y Fj(c)2304 3402 y Fh(0)2268 3489 y Fj(c)2304 3501 y Fh(1)2292 3578 y Fm(.)2292 3611 y(.)2292 3644 y(.)2226 3744 y Fj(c)2262 3756 y Fk(r)r Fb(\000)p Fh(1)2384 3326 y Fd(1)2384 3472 y(C)2384 3522 y(C)2384 3572 y(C)2384 3625 y(A)2479 3568 y Fn(=)2567 3326 y Fd(0)2567 3472 y(B)2567 3522 y(B)2567 3572 y(B)2567 3625 y(@)2640 3390 y Fj(x)p Fn($)p Fj(r)k Fn(+)c(1$)2640 3489 y Fj(x)p Fn($)p Fj(r)k Fn(+)c(2$)2774 3578 y Fm(.)2774 3611 y(.)2774 3644 y(.)2690 3744 y Fj(x)p Fn($2)p Fj(r)r Fn($)2934 3326 y Fd(1)2934 3472 y(C)2934 3522 y(C)2934 3572 y(C)2934 3625 y(A)3021 3568 y Fj(:)515 3923 y Fm(F)-6 b(urthermor)l(e,)33 b Fj(r)h Fm(is)f(the)f(minimal)h(or)l(der)g(of)f(r) l(e)l(curr)l(enc)l(e)g(i\013)g(the)g(ab)l(ove)h(matrix)f(is)h(non-)515 4023 y(singular,)d(in)g(which)i(c)l(ase)e(the)g(c)l(o)l(e\016cients)g (ar)l(e)g(uniquely)g(determine)l(d.)639 4205 y Fn(As)j(w)n(e)f(do)f (not)i(kno)n(w)e(the)i(minimal)f(order)f(of)h(recurrence,)g(w)n(e)g (form)g(matrices)g(for)515 4305 y(increasing)40 b Fj(r)r Fn(.)80 b(F)-7 b(or)40 b(eac)n(h)h(non-singular)f(one,)45 b(w)n(e)c(compute)h(the)g(recurrence)e(co)r(e\016-)515 4404 y(cien)n(ts)24 b(and)h(v)n(erify)f(the)h(recurrence)e(for)h(all)g Fj(s)h Fn(elemen)n(ts)g Fj(L)p Fn($)p Fj(m;)14 b(s)f Fn(+)g(1$)23 b(through)h Fj(L)p Fn($)p Fj(m;)14 b Fn(2)p Fj(s)p Fn($.)515 4504 y(The)31 b(smallest)f(v)n(eri\014able)f Fj(r)34 b Fn(is)d(the)g(minimal)g(order.)45 b(F)-7 b(or)30 b(e\016cien)n(t)h(computations,)g(the)515 4604 y(Berlek)-5 b(amp-Massey)20 b(algorithm)g([11])i(can)f(b)r(e)i(used)f(together)f (with)i(mo)r(dular)e(arithmetic)515 4703 y(and)27 b(the)h(Chinese)g (Remainder)f(Theorem.)1905 5255 y(15)p eop end %%Page: 16 16 TeXDict begin 16 15 bop 515 523 a Fc(4.4.1)93 b Fn(1)18 b Fi(\002)g Fj(n)32 b Fc(Boards)515 676 y Fn(F)-7 b(or)28 b(one-dimensional)g(b)r(oards,)g(with)h Fj(m)d Fn(=)f(1,)k(Figure)f(8)g (sho)n(ws)g(the)i(\014v)n(e)e(p)r(ossible)h(b)r(or-)515 776 y(der)38 b(states)f(\\empt)n(y",)j(\\blac)n(k)d(with)i(lib)r(ert)n (y",)h(\\white)e(with)h(lib)r(ert)n(y",)h(\\blac)n(k)d(with-)515 876 y(out)i(lib)r(ert)n(y",)i(and)e(\\white)g(without)g(lib)r(ert)n (y".)70 b(The)39 b(\014rst)g(three)g(are)f(legal,)j(so)d Fc(l)j Fn(=)515 975 y($1)p Fj(;)14 b Fn(1)p Fj(;)g Fn(1)p Fj(;)g Fn(0)p Fj(;)g Fn(0$)937 945 y Fk(T)987 975 y Fn(.)38 b(The)28 b(state)g(coun)n(t)f(transformation)g(is)h(giv)n(en)f (b)n(y)g(the)i(transp)r(osed)e(adja-)515 1075 y(cency)g(matrix)1516 1369 y Fc(T)c Fn(=)1693 1103 y Fd(0)1693 1249 y(B)1693 1298 y(B)1693 1348 y(B)1693 1398 y(B)1693 1451 y(@)1766 1169 y Fn(1)82 b(1)h(1)f(1)h(1)1766 1269 y(1)f(1)h(0)f(0)h(0)1766 1368 y(1)f(0)h(1)f(0)h(0)1766 1468 y(0)f(0)h(1)f(1)h(0)1766 1567 y(0)f(1)h(0)f(0)h(1)2305 1103 y Fd(1)2305 1249 y(C)2305 1298 y(C)2305 1348 y(C)2305 1398 y(C)2305 1451 y(A)515 1712 y Fn(and)20 b(the)i(initial)f(state)f(coun)n(t)h(with)g(one)g (column)g(giv)n(es)e Fc(L)p Fn($1)p Fj(;)14 b Fn(0$)23 b(=)g($1)p Fj(;)14 b Fn(0)p Fj(;)g Fn(0)p Fj(;)g Fn(1)p Fj(;)g Fn(1$)3040 1682 y Fk(T)3090 1712 y Fn(.)35 b(In)21 b(this)515 1812 y(case)33 b Fc(T)i Fn(is)f(in)n(v)n(ertible)g(and)g(w)n (e)g(can)g(write)g Fc(L)p Fn($0)p Fj(;)14 b Fn(0$)34 b(=)g Fc(T)2378 1782 y Fb(\000)p Fh(1)2467 1812 y Fc(L)p Fn($1)p Fj(;)14 b Fn(0$)35 b(=)e($)p Fi(\000)p Fn(1)p Fj(;)14 b Fn(1)p Fj(;)g Fn(1)p Fj(;)g Fn(0)p Fj(;)g Fn(0$)3329 1782 y Fk(T)515 1911 y Fn(and)1193 2011 y Fj(L)p Fn($1)p Fj(;)g(n)p Fn($)22 b(=)h Fc(l)1580 1977 y Fk(T)1632 2011 y Fc(T)1698 1977 y Fk(n)p Fb(\000)p Fh(1)1828 2011 y Fc(L)p Fn($1)p Fj(;)14 b Fn(0$)23 b(=)g Fc(l)2208 1977 y Fk(T)2260 2011 y Fc(T)2326 1977 y Fk(n)2371 2011 y Fc(L)p Fn($0)p Fj(;)14 b Fn(0$)23 b(=)1116 2284 y Fd(\000)1154 2350 y Fn(1)83 b(1)f(1)h(0)f(0)1694 2284 y Fd(\001)1746 2084 y(0)1746 2230 y(B)1746 2280 y(B)1746 2330 y(B)1746 2380 y(B)1746 2433 y(@)1818 2151 y Fn(1)h(1)f(1)h(1)f(1) 1818 2250 y(1)h(1)f(0)h(0)f(0)1818 2350 y(1)h(0)f(1)h(0)f(0)1818 2450 y(0)h(0)f(1)h(1)f(0)1818 2549 y(0)h(1)f(0)h(0)f(1)2358 2084 y Fd(1)2358 2230 y(C)2358 2280 y(C)2358 2330 y(C)2358 2380 y(C)2358 2433 y(A)2430 2101 y Fk(n)2490 2084 y Fd(0)2490 2230 y(B)2490 2280 y(B)2490 2330 y(B)2490 2380 y(B)2490 2433 y(@)2562 2151 y Fi(\000)p Fn(1)2594 2250 y(1)2594 2350 y(1)2594 2450 y(0)2594 2549 y(0)2668 2084 y Fd(1)2668 2230 y(C)2668 2280 y(C)2668 2330 y(C)2668 2380 y(C)2668 2433 y(A)2755 2351 y Fj(;)515 2682 y Fn(whic)n(h)27 b(giv)n(es)g(the)h (sequence)f(1)p Fj(;)14 b Fn(5)p Fj(;)g Fn(15)p Fj(;)g Fn(41)p Fj(;)g Fn(113)p Fj(;)g Fn(313)o Fj(;)g Fn(86)o(7)p Fj(;)g Fn(2)o(40)o(1)p Fj(;)g Fn(6)o(64)o(9)p Fj(;)g Fn(1)o(84)o(13)o Fj(;)g(:)g(:)g(:)639 2781 y Fn(The)24 b(c)n(haracteristic)e(p)r(olynomial)h(of)h Fc(T)g Fn(is)f Fj(p)p Fn($)p Fj(\025)p Fn($)h(=)f(det$)p Fj(\025)p Fc(I)11 b Fi(\000)g Fc(T)p Fn($)24 b(=)f Fj(\025)2840 2751 y Fh(5)2888 2781 y Fi(\000)11 b Fn(5)p Fj(\025)3054 2751 y Fh(4)3101 2781 y Fn(+)g(8)p Fj(\025)3267 2751 y Fh(3)3314 2781 y Fi(\000)515 2881 y Fn(6)p Fj(\025)605 2851 y Fh(2)660 2881 y Fn(+)18 b(3)p Fj(\025)h Fi(\000)f Fn(1.)36 b(It)28 b(follo)n(ws)f(that)h Fj(L)p Fn($1)p Fj(;)14 b(n)p Fn($)27 b(satis\014es)f(the)i(recurrence)515 3041 y Fj(L)p Fn($1)p Fj(;)14 b(k)19 b Fn(+)d(5$)23 b(=)g(5)p Fj(L)p Fn($1)p Fj(;)14 b(k)k Fn(+)e(4$)h Fi(\000)g Fn(8)p Fj(L)p Fn($1)p Fj(;)d(k)k Fn(+)e(3$)h(+)g(6)p Fj(L)p Fn($1)p Fj(;)d(k)k Fn(+)e(2$)h Fi(\000)g Fn(3)p Fj(L)p Fn($1)p Fj(;)d(k)k Fn(+)e(1$)h(+)g Fj(L)p Fn($1)p Fj(;)d(k)s Fn($)p Fj(:)515 3202 y Fn(This)35 b(is)g(not)g(a)f(minimal) i(order)d(recurrence,)j(ho)n(w)n(ev)n(er.)57 b(Using)35 b(state)g(classes)e(instead)515 3301 y($empt)n(y)-7 b(,)28 b(stone)f(with)h(lib)r(ert)n(y)-7 b(,)28 b(or)e(stone)i(without) g(lib)r(ert)n(y$)f(yields)1750 3481 y Fc(l)22 b Fn(=)1887 3414 y Fd(\000)1925 3480 y Fn(1)82 b(1)h(0)2215 3414 y Fd(\001)2253 3431 y Fk(T)2320 3481 y Fj(;)1710 3714 y Fc(T)23 b Fn(=)1887 3547 y Fd(0)1887 3697 y(@)1959 3614 y Fn(1)83 b(1)g(1)1959 3713 y(2)g(1)g(0)1959 3813 y(0)g(1)g(1)2250 3547 y Fd(1)2250 3697 y(A)2336 3714 y Fj(;)1534 3966 y Fc(L)p Fn($1)p Fj(;)14 b Fn(0$)23 b(=)1887 3899 y Fd(\000)1925 3965 y Fn(1)82 b(0)h(2)2215 3899 y Fd(\001)2253 3916 y Fk(T)515 4126 y Fn(and)24 b(a)h(c)n(haracteristic)e(p)r(olynomial)h Fj(p)p Fn($)p Fj(\025)p Fn($)g(=)e Fj(\025)1987 4096 y Fh(3)2038 4126 y Fi(\000)13 b Fn(3)p Fj(\025)2206 4096 y Fh(2)2255 4126 y Fn(+)g Fj(\025)g Fi(\000)g Fn(1,)25 b(leading)f(to)h(the)g(minimal) 515 4226 y(recurrence)1053 4387 y Fj(L)p Fn($1)p Fj(;)14 b(k)20 b Fn(+)e(3$)23 b(=)g(3)p Fj(L)p Fn($1)p Fj(;)14 b(k)20 b Fn(+)e(2$)g Fi(\000)g Fj(L)p Fn($1)p Fj(;)c(k)20 b Fn(+)e(1$)h(+)f Fj(L)p Fn($1)p Fj(;)c(k)s Fn($)p Fj(:)639 4547 y Fn(These)40 b(co)r(e\016cien)n(ts)g(can)f(also)g(b)r(e) i(computed)f(directly)g(from)g Fj(L)p Fn($1)p Fj(;)14 b Fn(1$)p Fj(;)g(:)g(:)g(:)e(;)i(L)p Fn($1)p Fj(;)g Fn(6$)515 4647 y(according)26 b(to)h(Lemma)g(12)g(as)1260 4752 y Fd(0)1260 4902 y(@)1353 4819 y Fn(1)124 b(5)h(15)1353 4918 y(5)104 b(15)f(41)1333 5018 y(15)82 b(41)g(113)1789 4752 y Fd(1)1789 4902 y(A)1862 4769 y Fb(\000)p Fh(1)1965 4752 y Fd(0)1965 4902 y(@)2058 4819 y Fn(41)2038 4918 y(113)2038 5018 y(313)2162 4752 y Fd(1)2162 4902 y(A)2258 4919 y Fn(=)2345 4752 y Fd(0)2345 4902 y(@)2450 4819 y Fn(1)2418 4918 y Fi(\000)p Fn(1)2450 5018 y(3)2524 4752 y Fd(1)2524 4902 y(A)2611 4919 y Fj(:)1905 5255 y Fn(16)p eop end %%Page: 17 17 TeXDict begin 17 16 bop 639 523 a Fj(L)p Fn($1)p Fj(;)14 b(n)p Fn($)27 b(can)g(b)r(e)h(written)g(in)g(the)g(form)f(of)h (Corollary)d(3)i(as)817 700 y Fj(L)p Fn($1)p Fj(;)14 b(n)p Fn($)22 b Fi(\030)h Fn(0)p Fj(:)p Fn(694)16 b Fi(\001)j Fn(2)p Fj(:)p Fn(769)1617 665 y Fk(n)1679 700 y Fn(+)f($0)p Fj(:)p Fn(153)e Fi(\000)i Fn(0)p Fj(:)p Fn(812)p Fj(i)p Fn($)f Fi(\001)h Fn($0)p Fj(:)p Fn(115)f(+)h(0)p Fj(:)p Fn(590)p Fj(i)p Fn($)2969 665 y Fk(n)3012 700 y Fn(+)1084 824 y(+)h($0)p Fj(:)p Fn(153)d(+)i(0)p Fj(:)p Fn(812)p Fj(i)p Fn($)f Fi(\001)h Fn($0)p Fj(:)p Fn(115)f Fi(\000)h Fn(0)p Fj(:)p Fn(590)p Fj(i)p Fn($)2375 790 y Fk(n)2418 824 y Fj(;)515 998 y Fn(where)25 b(the)h(constan)n(ts)e(in) n(v)n(olv)n(ed)g(are)h(solutions)f(to)i(cubic)f(equations.)36 b(In)25 b(particular)g(the)515 1097 y(largest)h(eigen)n(v)-5 b(alue)27 b(can)g(b)r(e)h(written)g(in)f(closed)g(form)h(as)858 1309 y Fj(\025)906 1321 y Fh(1)967 1309 y Fn(=)23 b(1)17 b(+)1207 1253 y(1)p 1207 1290 42 4 v 1207 1366 a(3)1273 1217 y Fd(\020)1322 1309 y Fn($27)h(+)g(3)1581 1237 y Fi(p)p 1650 1237 84 4 v 72 x Fn(57)o($)1775 1253 y Fq(1)p 1775 1262 29 3 v 1775 1295 a(3)1836 1309 y Fn(+)g($27)g Fi(\000)g Fn(3)2178 1237 y Fi(p)p 2246 1237 84 4 v 2246 1309 a Fn(57)o($)2371 1253 y Fq(1)p 2372 1262 29 3 v 2372 1295 a(3)2414 1217 y Fd(\021)2487 1309 y Fi(\030)k Fn(2)p Fj(:)p Fn(769292354)p Fj(:)515 1547 y Fc(4.4.2)93 b Fn(2)18 b Fi(\002)g Fj(n)32 b Fc(up)g(to)g Fn(9)18 b Fi(\002)g Fj(n)31 b Fc(Boards)515 1701 y Fn(F)-7 b(or)24 b(2)13 b Fi(\002)g Fj(n)24 b Fn(b)r(oards,)g(T)-7 b(able)25 b(1)f(sho)n(ws)g(9)h(state)f(classes,)h(but)g(up-do)n(wn)f(symmetry)h (reduces)515 1800 y(this)j(to)f(7)g(up/do)n(wn)g(classes,)f(matc)n (hing)i(the)g(recurrence)d(order:)560 1977 y Fj(L)p Fn($2)p Fj(;)14 b(n)k Fn(+)g(7$)23 b(=)f(10)p Fj(L)p Fn($2)p Fj(;)14 b(n)j Fn(+)h(6$)g Fi(\000)g Fn(16)p Fj(L)p Fn($2)p Fj(;)c(n)j Fn(+)h(5$)g(+)g(31)p Fj(L)p Fn($2)p Fj(;)c(n)i Fn(+)i(4$)h Fi(\000)f Fn(13)p Fj(L)p Fn($2)p Fj(;)c(n)i Fn(+)i(3$+)971 2101 y(+)g(20)p Fj(L)p Fn($2)p Fj(;)c(n)j Fn(+)h(2$)g(+)g(2)p Fj(L)p Fn($2)p Fj(;)c(n)j Fn(+)h(1$)g Fi(\000)g Fj(L)p Fn($2)p Fj(;)c(n)p Fn($)p Fj(:)515 2275 y Fn(This)27 b(sequence)g(starts)g(1)p Fj(;)14 b Fn(5)p Fj(;)g Fn(57)p Fj(;)g Fn(489)p Fj(;)g Fn(4125)p Fj(;)g Fn(35)o(11)o(7)p Fj(;)g Fn(2)o(99)o(68)o(1)p Fj(;)g(:)g(:)f(:)-5 b Fn(.)639 2375 y(F)e(or)22 b(3)7 b Fi(\002)g Fj(n)21 b Fn(the)h(n)n(um)n(b)r(er)g(of)g(constructible)g(up/do)n(wn)f(classes) g(is)h(21,)g(but)g(the)h(minimal)515 2474 y(recurrence)j(order)g(is)h (only)h(19:)595 2646 y Fj(L)p Fn($3)p Fj(;)14 b(n)j Fn(+)h(19$)23 b(=)f(33)p Fj(L)p Fn($3)p Fj(;)14 b(n)j Fn(+)h(18$)g Fi(\000)g Fn(233)p Fj(L)p Fn($3)p Fj(;)c(n)i Fn(+)i(17$)f(+)h(1171)p Fj(L)p Fn($3)p Fj(;)c(n)i Fn(+)i(16$)p Fi(\000)1047 2771 y(\000)g Fn(3750)p Fj(L)p Fn($3)p Fj(;)c(n)i Fn(+)i(15$)f(+)h(9426)p Fj(L)p Fn($3)p Fj(;)c(n)i Fn(+)i(14$)g Fi(\000)g Fn(16646)p Fj(L)p Fn($3)p Fj(;)c(n)h Fn(+)j(13$+)1047 2895 y(+)g(22072)p Fj(L)p Fn($3)p Fj(;)c(n)h Fn(+)j(12$)g Fi(\000)g Fn(19993)p Fj(L)p Fn($3)p Fj(;)c(n)h Fn(+)j(11$)g(+)g(9083)p Fj(L)p Fn($3)p Fj(;)c(n)h Fn(+)j(10$+)1047 3020 y(+)g(1766)p Fj(L)p Fn($3)p Fj(;)c(n)i Fn(+)i(9$)g Fi(\000)g Fn(4020)p Fj(L)p Fn($3)p Fj(;)c(n)h Fn(+)j(8$)h(+)f(6018)p Fj(L)p Fn($3)p Fj(;)c(n)h Fn(+)j(7$)p Fi(\000)1047 3144 y(\000)g Fn(2490)p Fj(L)p Fn($3)p Fj(;)c(n)i Fn(+)i(6$)g Fi(\000)g Fn(5352)p Fj(L)p Fn($3)p Fj(;)c(n)h Fn(+)j(5$)h(+)f(1014)p Fj(L)p Fn($3)p Fj(;)c(n)h Fn(+)j(4$)p Fi(\000)1047 3269 y(\000)g Fn(1402)p Fj(L)p Fn($3)p Fj(;)c(n)i Fn(+)i(3$)g(+)g (100)p Fj(L)p Fn($3)p Fj(;)c(n)i Fn(+)i(2$)g(+)g(73)p Fj(L)p Fn($3)p Fj(;)c(n)j Fn(+)h(1$)g Fi(\000)g Fn(5)p Fj(L)p Fn($3)p Fj(;)c(n)p Fn($)p Fj(:)639 3443 y Fn(The)41 b(recurrences)e(for)i Fj(m)k Fi(\025)g Fn(4)40 b(are)g(to)r(o)h(long)f (to)h(sho)n(w)f(here.)76 b(The)41 b(n)n(um)n(b)r(er)g(of)515 3542 y(constructible)36 b(up/do)n(wn)g(classes,)i(minim)n(um)f (recurrence)e(order,)i(and)g(the)g Fj(\025)3092 3554 y Fk(m)3192 3542 y Fn(v)-5 b(alue)515 3642 y(from)27 b(theorem)g(2)g(are)g(listed)h(in)g(T)-7 b(able)27 b(2)g(for)g(1)c Fi(\024)f Fj(m)h Fi(\024)g Fn(9.)515 3857 y Fc(4.4.3)93 b(Legal)32 b(Probabilities)e(and)j(Mark)m(o)m(v)g(Chains)515 4010 y Fn(Dividing)24 b(the)h(n)n(um)n(b)r(er)f(of)g(legal)g(p)r (ositions)f Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)25 b(b)n(y)f(the)g (total)g(n)n(um)n(b)r(er)g(of)h(p)r(ositions)515 4110 y(3)557 4079 y Fk(mn)692 4110 y Fn(giv)n(es)30 b(the)i(probabilit)n(y)f (that)h(a)f(random)g(p)r(osition)g(on)g(an)h Fj(m)21 b Fi(\002)f Fj(n)32 b Fn(b)r(oard)e(is)i(legal.)515 4209 y(With)39 b(this)g(in)n(terpretation,)i(it)e(is)g(natural)f(to)h (consider)e(the)i(distribution)g(of)g(b)r(order)515 4309 y(states)28 b(as)h(a)g(Mark)n(o)n(v)e(Chain.)41 b(First,)30 b(ho)n(w)n(ev)n(er,)d(it)j(is)f(necessary)e(to)i(extend)g(the)h(b)r (order)515 4408 y(state)d(space)f(with)i(\\illegal")d(states)i($one)g (for)f(eac)n(h)h(partial)f(column)h(size$)g(whic)n(h)g(repre-)515 4508 y(sen)n(t)g(partial)f(b)r(oards)g(that)h(aren't)g(pseudolegal,)f (and)h(mak)n(e)f(all)h(states)f(ha)n(v)n(e)g(outdegree)515 4608 y(3.)37 b(With)29 b(this)f(mo)r(di\014cation,)g(the)h(v)n(ectors)d Fc(p)p Fn($)p Fj(m;)14 b(n)p Fn($)24 b(=)2366 4575 y Fh(1)p 2320 4589 125 4 v 2320 4636 a(3)2353 4620 y Fs(mn)2455 4608 y Fc(L)p Fn($)p Fj(m;)14 b(n;)g Fn(0$)28 b(are)f(probabilit)n(y)515 4707 y(distributions)c(o)n(v)n(er)f(the)j(b) r(order)d(states)i(and)f Fc(P)2026 4719 y Fk(m)2113 4707 y Fn(=)2238 4675 y Fh(1)p 2210 4689 89 4 v 2210 4736 a(3)2243 4719 y Fs(m)2309 4707 y Fc(T)2375 4719 y Fk(m)2462 4707 y Fn(is)h(a)f(probabilit)n(y)g(transition)515 4807 y(matrix,)30 b(so)f(that)i Fc(p)p Fn($)p Fj(m;)14 b(n)20 b Fn(+)f(1$)27 b(=)g Fc(P)1705 4819 y Fk(m)1768 4807 y Fc(p)p Fn($)p Fj(m;)14 b(n)p Fn($)31 b(describ)r(es)e(the)i(c)n (hange)e(in)h(distribution)515 4907 y(of)g(b)r(order)f(states)g(when)i (a)e(new)h(random)f(column)h(is)g(added.)44 b(Since)31 b Fc(P)2837 4919 y Fk(m)2930 4907 y Fn(is)f(a)f(sto)r(c)n(has-)515 5006 y(tic)j(matrix,)g(i.e.)49 b(the)32 b(sum)f(of)h(all)f(columns)g (is)h(one,)g(it)g(has)f(a)g(largest)f(eigen)n(v)-5 b(alue)31 b(of)g(1.)1905 5255 y(17)p eop end %%Page: 18 18 TeXDict begin 18 17 bop 568 443 2759 4 v 566 544 4 102 v 617 515 a Fn(size)p 858 544 V 163 w(classes)p 1195 544 V 98 w(order)p 1502 544 V 116 w Fj(a)1597 527 y Fk(m)p 2496 544 V 2571 481 a Fs(m)2576 450 y Fi(p)p 2645 450 112 4 v 65 x Fj(\025)2693 527 y Fk(m)p 3325 544 4 102 v 568 548 2759 4 v 566 647 4 100 v 617 617 a Fn(1)18 b Fi(\002)g Fj(n)p 858 647 V 100 w Fn(3)p 1195 647 V 294 w(3)p 1502 647 V 265 w(0.6941234090908)o(07)o(71)o(80)o(9)p 2496 647 V 94 w(2.769292354238)o(63)o(14)p 3325 647 V 568 651 2759 4 v 566 750 4 100 v 617 720 a(2)g Fi(\002)g Fj(n)p 858 750 V 100 w Fn(7)p 1195 750 V 294 w(7)p 1502 750 V 265 w(0.7760592064844)o(32)o(17)o(56)o(4)p 2496 750 V 94 w(2.921241604535)o(94)o(86)p 3325 750 V 568 754 2759 4 v 566 853 4 100 v 617 823 a(3)g Fi(\002)g Fj(n)p 858 853 V 100 w Fn(21)p 1195 853 V 252 w(19)p 1502 853 V 223 w(0.7669246237262)o(51)o(58)o(68)o(8)p 2496 853 V 94 w(2.941265544348)o(69)o(72)p 3325 853 V 568 857 2759 4 v 566 956 4 100 v 617 926 a(4)g Fi(\002)g Fj(n)p 858 956 V 100 w Fn(64)p 1195 956 V 252 w(57)p 1502 956 V 223 w(0.7397259146560)o(93)o(92)o(16)o(7)p 2496 956 V 94 w(2.949764649676)o(88)o(97)p 3325 956 V 568 960 2759 4 v 566 1059 4 100 v 617 1029 a(5)g Fi(\002)g Fj(n)p 858 1059 V 100 w Fn(242)p 1195 1059 V 210 w(217)p 1502 1059 V 181 w(0.7138405798600)o(25)o(04)o(20)o(5)p 2496 1059 V 94 w(2.954933728838)o(20)o(67)p 3325 1059 V 568 1062 2759 4 v 566 1162 4 100 v 617 1132 a(6)g Fi(\002)g Fj(n)p 858 1162 V 100 w Fn(880)p 1195 1162 V 210 w(791)p 1502 1162 V 181 w(0.6892115004008)o(34)o(74)o(62)o(9)p 2496 1162 V 94 w(2.958390334214)o(09)o(07)p 3325 1162 V 568 1165 2759 4 v 566 1265 4 100 v 617 1235 a(7)g Fi(\002)g Fj(n)p 858 1265 V 100 w Fn(3453)p 1195 1265 V 168 w(3107)p 1502 1265 V 139 w(0.6654597934018)o(84)o(79)o(81)o(6)p 2496 1265 V 94 w(2.960861834904)o(01)o(66)p 3325 1265 V 568 1268 2759 4 v 566 1368 4 100 v 617 1338 a(8)g Fi(\002)g Fj(n)p 858 1368 V 100 w Fn(13556)p 1195 1368 V 126 w(12110)p 1502 1368 V 97 w(0.6425251647451)o(50)o(96)o(18)o(5)p 2496 1368 V 94 w(2.962716807025)o(24)o(08)p 3325 1368 V 568 1371 2759 4 v 566 1471 4 100 v 617 1441 a(9)g Fi(\002)g Fj(n)p 858 1471 V 100 w Fn(55193)p 1195 1471 V 126 w(49361)p 1502 1471 V 97 w(0.6203805838020)o(08)o(67)o(94)o(9)p 2496 1471 V 94 w(2.964160366472)o(3)p 3325 1471 V 568 1474 2759 4 v 1333 1706 a(T)-7 b(able)27 b(2:)37 b(Small)27 b(b)r(oard)g(recurrences.)515 1955 y(The)35 b(corresp)r(onding)e(eigen) n(v)n(ector)f(has)j(a)f(1)g(for)h(the)g(\\illegal")e(state)i(and)f (zero)g(for)g(all)515 2055 y(others,)c(i.e.)h(the)g(illegal)e(state)i (is)f(an)g(absorbing)f(state,)i(whic)n(h)f(is)h(not)f(surprising)f (since)515 2155 y(pseudolegalit)n(y)d(can)h(only)g(get)h(lost)f(under)g (b)r(oard)g(extension,)g(not)h(regained.)515 2387 y Fe(4.5)112 b(The)38 b(Dynamic)g(Programming)h(algorithm)515 2540 y Fn(The)34 b(algorithm)e(starts)h(from)h(the)g(unit)h(state)e(v)n (ector)g Fc(L)p Fn($)p Fj(m;)14 b Fn(0)p Fj(;)g Fn(0$)33 b($whic)n(h)h(has)g(a)f(1)h(for)515 2640 y(the)26 b(all-edge)e(state)i (only$,)g(and)f(then)i(p)r(erforms)e Fj(mn)g Fn(linear)g (transformations)f($the)i(\014rst)515 2739 y Fj(m)f Fn(of)h(whic)n(h)f(op)r(erate)g(on)g(edge)g(states,)h(while)g(the)f (rest,)h(of)g(the)f(form)h Fc(T)2828 2751 y Fk(m;y)2947 2739 y Fn(,)g(op)r(erate)e(on)515 2839 y(b)r(order)d(states$)g(to)h (obtain)f Fc(L)p Fn($)p Fj(m;)14 b(n;)g Fn(0$.)35 b(Instead)22 b(of)f(k)n(eeping)g(exact)h(coun)n(ts)f Fj(L)p Fn($)p Fj(m;)14 b(n;)g(y)s(;)g(s)p Fn($)515 2939 y(as)29 b(v)n(ector)f (elemen)n(ts,)i(w)n(e)g(use)f(state)h(class)f(coun)n(ts)g(mo)r(dulo)g (some)g(n)n(um)n(b)r(er)h Fj(M)38 b Fn(close)29 b(to)515 3038 y(2)557 3008 y Fh(64)627 3038 y Fn(.)73 b(Running)40 b(the)g(algorithm)e Fi(d)p Fj(mn)14 b Fn(log)1899 3059 y Fh(2)1936 3038 y Fn($3$)p Fj(=)p Fn(64)p Fi(e)38 b Fn(times)i(with)h(di\013eren)n(t,)h(relativ)n(ely)515 3138 y(prime,)27 b(mo)r(duli)h(giv)n(es)f(us)g(a)g(set)h(of)g (equations)1547 3321 y Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b(=)g Fj(a)1983 3333 y Fk(i)2033 3321 y Fn(mo)r(d)g Fj(M)2296 3333 y Fk(i)2324 3321 y Fj(;)515 3503 y Fn(whic)n(h)d(is)g (readily)g(solv)n(ed)f(using)h(the)h(Chinese)f(Remainder)g(Theorem)g ($CR)-7 b(T$.)21 b(This)f(tec)n(h-)515 3603 y(nique)29 b(trades)g(o\013)g(memory)g(and)g(diskspace)f($whic)n(h)i(are)e(more)h (constrained$)g(for)g(time.)515 3703 y(There)35 b(is)g(an)h(in)n (teresting)e(side-b)r(ene\014t)i(of)g(using)f(c)n(hinese)g (remaindering:)52 b(automatic)515 3802 y(error)21 b(detection.)36 b(If,)24 b(for)f(instance,)h(a)f(single)g(bit\015ip)h(in)f(memory)g (should)g(corrupt)f(one)h(of)515 3902 y(the)31 b(remainders,)f(then)h (reconstruction)e(of)i(the)g(full)g(coun)n(t)f(from)h(the)g(remainders) e(will)515 4001 y(yield)35 b(a)g(v)-5 b(alue)35 b(that's)g(w)n(a)n(y)f (o\013,)j(whic)n(h)e(will)h(b)r(e)f(ob)n(vious)f(when)h(comparing)f (with)i(the)515 4101 y(appro)n(ximation)25 b(form)n(ula)i(w)n(e'll)h (deriv)n(e)e(in)i(a)f(later)g(section.)639 4201 y(The)42 b(heart)f(of)g(the)h(algorithm)e(is)h(an)g(e\016cien)n(t)h(represen)n (tation)d(of)j(b)r(order)e(state)515 4300 y(classes,)c(using)f(just)h (3)f(bits)g(p)r(er)g(p)r(oin)n(t,)j(or)c(3)p Fj(m)h Fn(bits)h(for)f(a)g (state)g(class.)59 b(This)35 b(mak)n(es)515 4400 y(the)i(standard)g (heigh)n(t)g(of)g Fj(m)i Fn(=)g(19)d(\014t)i(comfortably)e(in)i(64-bit) e(in)n(tegers.)65 b(The)38 b(non-)515 4500 y(crossing)g(connections)h (can)g(b)r(e)h(represen)n(ted)f(with)h(just)h(2)e(b)r(o)r(oleans)g(p)r (er)h(lib)r(ert)n(yless)515 4599 y(stone:)46 b(whether)33 b(it)g(has)f(a)g(connection)g(ab)r(o)n(v)n(e)g(it,)i(and)f(whether)f (it)h(has)f(a)h(connection)515 4699 y(b)r(elo)n(w)28 b(it.)39 b(The)28 b(represen)n(tation)e(further)i(exploits)g(the)g (fact)h(that)f(neigh)n(b)r(ouring)f(p)r(oin)n(ts)515 4798 y(in)39 b(the)h(b)r(order)e(highly)h(constrain)f(eac)n(h)h(other.) 71 b(Figure)39 b(10)f(sho)n(ws)g(p)r(ossible)h(transi-)515 4898 y(tions)29 b(from)g(one)f(p)r(oin)n(t)i(to)f(the)g(next)h(in)f(a)g (\\bump-free")f(0-state.)41 b(Up)n(w)n(ard)28 b(and)h(do)n(wn-)515 4998 y(w)n(ard)24 b(p)r(oin)n(ting)h(arro)n(ws)d(from)j(the)g(line)h (indicating)e(lac)n(k)h(of)g(lib)r(erties)g(represen)n(t)e(the)j(t)n(w) n(o)1905 5255 y(18)p eop end %%Page: 19 19 TeXDict begin 19 18 bop 766 2182 a @beginspecial 0 @llx 0 @lly 362 @urx 267 @ury 2834 @rwi @setspecial %%BeginDocument: borderdfa.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: borderdfa.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Tue Sep 13 16:59:09 2005 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 362 267 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 267 moveto 0 0 lineto 362 0 lineto 362 267 lineto closepath clip newpath -35.3 378.7 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Arc 7.500 slw gs clippath 3716 2250 m 3770 2276 l 3837 2140 l 3757 2235 l 3783 2114 l cp eoclip n 3600.0 2100.0 212.1 135.0 45.0 arc gs col0 s gr gr % arrowhead n 3783 2114 m 3757 2235 l 3837 2140 l col0 s % Arc gs clippath 2383 2729 m 2433 2695 l 2347 2570 l 2391 2686 l 2297 2604 l cp eoclip n 2175.0 2775.0 237.2 108.4 -18.4 arc gs col0 s gr gr % arrowhead n 2297 2604 m 2391 2686 l 2347 2570 l col0 s % Arc gs clippath 4766 2695 m 4816 2729 l 4902 2604 l 4809 2686 l 4852 2570 l cp eoclip n 5025.0 2775.0 237.2 71.6 -161.6 arcn gs col0 s gr gr % arrowhead n 4852 2570 m 4809 2686 l 4902 2604 l col0 s % Ellipse n 2400 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 5550 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 4350 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 4350 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 5550 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 2400 30 30 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Polyline gs clippath 2523 2829 m 2550 2883 l 2685 2816 l 2565 2843 l 2658 2762 l cp 3476 2420 m 3450 2366 l 3314 2433 l 3435 2407 l 3341 2487 l cp eoclip n 3450 2400 m 2550 2850 l gs col0 s gr gr % arrowhead n 3341 2487 m 3435 2407 l 3314 2433 l col0 s % arrowhead n 2658 2762 m 2565 2843 l 2685 2816 l col0 s % Polyline gs clippath 4650 2883 m 4676 2829 l 4541 2762 l 4635 2843 l 4514 2816 l cp 3750 2366 m 3723 2420 l 3858 2487 l 3765 2407 l 3885 2433 l cp eoclip n 3750 2400 m 4650 2850 l gs col0 s gr gr % arrowhead n 3885 2433 m 3765 2407 l 3858 2487 l col0 s % arrowhead n 4514 2816 m 4635 2843 l 4541 2762 l col0 s % Polyline gs clippath 1918 3589 m 1960 3631 l 2068 3524 l 1962 3588 l 2025 3481 l cp 2431 3160 m 2389 3118 l 2281 3225 l 2388 3162 l 2324 3268 l cp eoclip n 2400 3150 m 1950 3600 l gs col0 s gr gr % arrowhead n 2324 3268 m 2388 3162 l 2281 3225 l col0 s % arrowhead n 2025 3481 m 1962 3588 l 2068 3524 l col0 s % Polyline gs clippath 5239 3631 m 5281 3589 l 5174 3481 l 5238 3588 l 5131 3524 l cp 4810 3118 m 4768 3160 l 4875 3268 l 4812 3162 l 4918 3225 l cp eoclip n 4800 3150 m 5250 3600 l gs col0 s gr gr % arrowhead n 4918 3225 m 4812 3162 l 4875 3268 l col0 s % arrowhead n 5131 3524 m 5238 3588 l 5174 3481 l col0 s % Polyline gs clippath 4515 3030 m 4515 2970 l 4363 2970 l 4483 3000 l 4363 3030 l cp 2685 2970 m 2685 3030 l 2837 3030 l 2717 3000 l 2837 2970 l cp eoclip n 2700 3000 m 4500 3000 l gs col0 s gr gr % arrowhead n 2837 2970 m 2717 3000 l 2837 3030 l col0 s % arrowhead n 4363 3030 m 4483 3000 l 4363 2970 l col0 s % Polyline n 5850 5550 m 5550 5550 l gs col0 s gr % Polyline gs clippath 5520 5865 m 5580 5865 l 5580 5713 l 5550 5833 l 5520 5713 l cp eoclip n 5550 5550 m 5550 5850 l gs col0 s gr gr % arrowhead n 5520 5713 m 5550 5833 l 5580 5713 l col0 s % Polyline gs clippath 5580 5235 m 5520 5235 l 5520 5387 l 5550 5267 l 5580 5387 l cp eoclip n 5550 5550 m 5550 5250 l gs col0 s gr gr % arrowhead n 5580 5387 m 5550 5267 l 5520 5387 l col0 s % Polyline n 5850 4350 m 5550 4350 l gs col0 s gr % Polyline gs clippath 5580 4035 m 5520 4035 l 5520 4187 l 5550 4067 l 5580 4187 l cp eoclip n 5550 4350 m 5550 4050 l gs col0 s gr gr % arrowhead n 5580 4187 m 5550 4067 l 5520 4187 l col0 s % Polyline n 705 3600 m 600 3600 600 6195 105 arcto 4 {pop} repeat 600 6300 3195 6300 105 arcto 4 {pop} repeat 3300 6300 3300 3705 105 arcto 4 {pop} repeat 3300 3600 705 3600 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 2550 4350 m 2250 4350 l gs col0 s gr % Polyline gs clippath 2280 4035 m 2220 4035 l 2220 4187 l 2250 4067 l 2280 4187 l cp eoclip n 2250 4350 m 2250 4050 l gs col0 s gr gr % arrowhead n 2280 4187 m 2250 4067 l 2220 4187 l col0 s % Polyline n 855 3900 m 750 3900 750 4695 105 arcto 4 {pop} repeat 750 4800 3045 4800 105 arcto 4 {pop} repeat 3150 4800 3150 4005 105 arcto 4 {pop} repeat 3150 3900 855 3900 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 1350 4350 m 1050 4350 l gs col0 s gr % Polyline gs clippath 1020 5865 m 1080 5865 l 1080 5713 l 1050 5833 l 1020 5713 l cp eoclip n 1050 5550 m 1050 5850 l gs col0 s gr gr % arrowhead n 1020 5713 m 1050 5833 l 1080 5713 l col0 s % Polyline n 1350 5550 m 1050 5550 l gs col0 s gr % Polyline gs clippath 2220 5865 m 2280 5865 l 2280 5713 l 2250 5833 l 2220 5713 l cp eoclip n 2250 5550 m 2250 5850 l gs col0 s gr gr % arrowhead n 2220 5713 m 2250 5833 l 2280 5713 l col0 s % Polyline n 2550 5550 m 2250 5550 l gs col0 s gr % Polyline gs clippath 2280 5235 m 2220 5235 l 2220 5387 l 2250 5267 l 2280 5387 l cp eoclip n 2250 5550 m 2250 5400 l 2250 5250 l 2250 5400 l 2250 5250 l gs col0 s gr gr % arrowhead n 2280 5387 m 2250 5267 l 2220 5387 l col0 s % Polyline n 855 5100 m 750 5100 750 5895 105 arcto 4 {pop} repeat 750 6000 3045 6000 105 arcto 4 {pop} repeat 3150 6000 3150 5205 105 arcto 4 {pop} repeat 3150 5100 855 5100 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 2205 3750 m 2100 3750 2100 6045 105 arcto 4 {pop} repeat 2100 6150 2895 6150 105 arcto 4 {pop} repeat 3000 6150 3000 3855 105 arcto 4 {pop} repeat 3000 3750 2205 3750 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 1005 3750 m 900 3750 900 6045 105 arcto 4 {pop} repeat 900 6150 1695 6150 105 arcto 4 {pop} repeat 1800 6150 1800 3855 105 arcto 4 {pop} repeat 1800 3750 1005 3750 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 5505 3750 m 5400 3750 5400 6045 105 arcto 4 {pop} repeat 5400 6150 6195 6150 105 arcto 4 {pop} repeat 6300 6150 6300 3855 105 arcto 4 {pop} repeat 6300 3750 5505 3750 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 4155 3900 m 4050 3900 4050 4695 105 arcto 4 {pop} repeat 4050 4800 6345 4800 105 arcto 4 {pop} repeat 6450 4800 6450 4005 105 arcto 4 {pop} repeat 6450 3900 4155 3900 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 4005 3600 m 3900 3600 3900 6195 105 arcto 4 {pop} repeat 3900 6300 6495 6300 105 arcto 4 {pop} repeat 6600 6300 6600 3705 105 arcto 4 {pop} repeat 6600 3600 4005 3600 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 4155 5100 m 4050 5100 4050 5895 105 arcto 4 {pop} repeat 4050 6000 6345 6000 105 arcto 4 {pop} repeat 6450 6000 6450 5205 105 arcto 4 {pop} repeat 6450 5100 4155 5100 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline n 4650 4350 m 4350 4350 l gs col0 s gr % Polyline n 4650 5550 m 4350 5550 l gs col0 s gr % Polyline gs clippath 4320 5865 m 4380 5865 l 4380 5713 l 4350 5833 l 4320 5713 l cp eoclip n 4350 5550 m 4350 5850 l gs col0 s gr gr % arrowhead n 4320 5713 m 4350 5833 l 4380 5713 l col0 s % Polyline n 4305 3750 m 4200 3750 4200 6045 105 arcto 4 {pop} repeat 4200 6150 4995 6150 105 arcto 4 {pop} repeat 5100 6150 5100 3855 105 arcto 4 {pop} repeat 5100 3750 4305 3750 105 arcto 4 {pop} repeat cp gs col0 s gr % Polyline gs clippath 3892 4982 m 3930 4935 l 3812 4841 l 3887 4940 l 3774 4888 l cp eoclip n 3150 4350 m 3900 4950 l gs col0 s gr gr % arrowhead n 3774 4888 m 3887 4940 l 3812 4841 l col0 s % Polyline gs clippath 3269 4935 m 3307 4982 l 3425 4888 l 3313 4940 l 3387 4841 l cp eoclip n 4050 4350 m 3300 4950 l gs col0 s gr gr % arrowhead n 3387 4841 m 3313 4940 l 3425 4888 l col0 s % Polyline gs clippath 4227 4968 m 4198 4916 l 4066 4991 l 4186 4958 l 4096 5043 l cp eoclip n 3150 5550 m 4200 4950 l gs col0 s gr gr % arrowhead n 4096 5043 m 4186 4958 l 4066 4991 l col0 s % Polyline gs clippath 1793 4917 m 1777 4975 l 1924 5013 l 1816 4954 l 1939 4955 l cp eoclip n 4050 5550 m 1800 4950 l gs col0 s gr gr % arrowhead n 1939 4955 m 1816 4954 l 1924 5013 l col0 s % Polyline gs clippath 3026 4970 m 3000 4916 l 2864 4983 l 2985 4957 l 2891 5037 l cp eoclip n 2700 5100 m 3000 4950 l gs col0 s gr gr % arrowhead n 2891 5037 m 2985 4957 l 2864 4983 l col0 s % Polyline gs clippath 5400 4916 m 5373 4970 l 5508 5037 l 5415 4957 l 5535 4983 l cp eoclip n 5700 5100 m 5400 4950 l gs col0 s gr gr % arrowhead n 5535 4983 m 5415 4957 l 5508 5037 l col0 s /Times-Roman ff 180.00 scf sf 2400 4200 m gs 1 -1 sc (5) col0 sh gr /Times-Roman ff 180.00 scf sf 1200 5400 m gs 1 -1 sc (6) col0 sh gr /Times-Roman ff 180.00 scf sf 2400 5400 m gs 1 -1 sc (7) col0 sh gr /Times-Roman ff 180.00 scf sf 5700 5400 m gs 1 -1 sc (7) col0 sh gr /Times-Roman ff 180.00 scf sf 4500 5400 m gs 1 -1 sc (6) col0 sh gr /Times-Roman ff 180.00 scf sf 4500 4200 m gs 1 -1 sc (4) col0 sh gr /Times-Roman ff 180.00 scf sf 5700 4200 m gs 1 -1 sc (5) col0 sh gr /Times-Roman ff 180.00 scf sf 1200 4200 m gs 1 -1 sc (4) col0 sh gr /Times-Roman ff 180.00 scf sf 3600 2700 m gs 1 -1 sc (1) col0 sh gr /Times-Roman ff 180.00 scf sf 4650 2700 m gs 1 -1 sc (3) col0 sh gr /Times-Roman ff 180.00 scf sf 2550 2700 m gs 1 -1 sc (2) col0 sh gr % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 4800 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 4350 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1500 4350 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 1500 5550 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 5550 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 1304 2448 a Fn(Figure)27 b(10:)36 b(In)n(tra-b)r(order)26 b(transitions.)515 2713 y(b)r(o)r(olean)h(\015ags.)639 2813 y(Edges)j(b)r(et)n(w)n(een)h(b)r(o)n(xed)f(sets)h(of)g(p)r(oin)n (ts)g(indicate)g(the)g(presence)f(of)h(edges)f(from)g(all)515 2912 y(p)r(oin)n(ts)24 b(in)h(one)f(set)h(to)f(all)h(p)r(oin)n(ts)f(in) h(the)g(other.)35 b(Next)25 b(to)g(eac)n(h)f(p)r(oin)n(t)g(is)h(sho)n (wn)f(its)g(3-bit)515 3012 y(co)r(de.)35 b(Note)22 b(that)h(no)g(p)r (oin)n(t)g(has)f(t)n(w)n(o)g(di\013eren)n(t)g(transitions)g(to)h(same)f (n)n(um)n(b)r(ered)g(p)r(oin)n(ts.)515 3112 y(This)32 b(re\015ects)g(the)h(fact)g(that)f(t)n(w)n(o)g(lib)r(ert)n(yless)g (adjacen)n(t)g(stones)f(ha)n(v)n(e)h(the)h(same)e(color)515 3211 y(if)c(and)g(only)f(if)h(they)h(are)d(connected,)i(and)g(a)f (stone)h(with)g(lib)r(erties)g(cannot)f(b)r(e)i(adjacen)n(t)515 3311 y(to)k(a)h(lib)r(ert)n(yless)f(stone)h(of)f(the)i(same)e(color.)51 b(The)33 b(algorithm)f(uses)g(co)r(de)h(0)f(for)g(`edge')515 3411 y(p)r(oin)n(ts)g(in)g(edge)g(states.)50 b(Tw)n(o)31 b(pieces)h(of)g(information)g(are)f(still)i(lac)n(king;)g(the)f(color)f (of)515 3510 y(a)i(lib)r(ert)n(yless)g(stone)h(at)f($)p Fj(x;)14 b Fn(0$,)36 b(and)e(the)g(color)f(of)g(a)h(lib)r(ert)n(yless) f(stone)g(on)h($)p Fj(x)23 b Fi(\000)g Fn(1)p Fj(;)14 b(y)s Fn($,)515 3610 y(whic)n(h)26 b(is)g(not)g(adjacen)n(t)f(to)h (the)g(previous)f(b)r(order)g(p)r(oin)n(t)h(at)g($)p Fj(x;)14 b(y)19 b Fi(\000)c Fn(1$.)36 b(Ho)n(w)n(ev)n(er,)24 b(since)515 3709 y(w)n(e)30 b(represen)n(t)f(state)h(classes)f(rather)g (than)i(states,)f(w)n(e)g(can)g(assume)g(that)g($)p Fj(x)21 b Fi(\000)f Fn(1)p Fj(;)14 b(y)s Fn($,)31 b(if)515 3809 y(non-empt)n(y)-7 b(,)24 b(is)g(alw)n(a)n(ys)e(white.)36 b(In)24 b(this)g(case,)f(the)i(color)d(of)i(a)f(lib)r(ert)n(yless)g (stone)h(at)g($)p Fj(x;)14 b Fn(0$)515 3909 y(can)33 b(b)r(e)i(stored)e(in)h(the)h(b)r(o)r(olean)e(indicating)h(connections) f(ab)r(o)n(v)n(e,)h(since)g(the)h(latter)e(is)515 4008 y(alw)n(a)n(ys)c(false.)48 b(If)32 b($)p Fj(x)21 b Fi(\000)g Fn(1)p Fj(;)14 b(y)s Fn($)31 b(is)g(empt)n(y)-7 b(,)32 b(then)g(w)n(e)f(can)g(assume)g(an)n(y)f(stone)h(on)g($)p Fj(x;)14 b Fn(0$)32 b(is)515 4108 y(white.)43 b(If)30 b(b)r(oth)g($)p Fj(x)20 b Fi(\000)f Fn(1)p Fj(;)14 b(y)s Fn($)29 b(and)h($)p Fj(x;)14 b Fn(0$)30 b(are)e(empt)n(y)i(then)g(w) n(e)f(can)g(normalize)g(the)g(color)515 4208 y(of)e(e.g.)37 b(the)28 b(b)r(ottom-most)f(stone)g(on)h(the)g(b)r(order.)639 4307 y(Note)g(that)g(this)g(is)f(the)h(lo)n(w)n(est)f(of)h(3)f(lev)n (els)g(of)g(graphs)f(considered)h(in)h(this)g(pap)r(er:)36 b(a)515 4407 y(game)28 b(of)h(Go)g(is)g(a)f(path)i(in)f(the)g(game)g (graph.)40 b(whose)28 b(no)r(des)h(are)f(paths)h(in)h(the)f(b)r(order) 515 4506 y(state)e(graph,)g(whose)g(no)r(des)g(are)g(paths)g(in)h(the)g (11-no)r(de)e(in)n(tra-b)r(order)g(graph)3047 4476 y Fh(2)3083 4506 y Fn(.)639 4606 y(In)33 b(order)e(to)h(compute)h Fc(L)p Fn($)p Fj(m;)14 b(n;)g(y)25 b Fn(+)c(1$)31 b(=)g Fc(T)2123 4618 y Fk(m;y)2242 4606 y Fc(L)p Fn($)p Fj(m;)14 b(n;)g(y)s Fn($,)34 b(the)e(algorithm)g(lo)r(ops)515 4706 y(o)n(v)n(er)21 b(all)h(state-coun)n(t)f(pairs)h($)p Fj(s;)14 b(i)p Fn($)23 b(in)g Fc(L)p Fn($)p Fj(m;)14 b(n;)g(y)s Fn($,)23 b(computes)g(the)g(2)f(or)g(3)g(successors)e Fj(s)3266 4676 y Fb(0)3312 4706 y Fn(of)p 515 4780 1146 4 v 607 4833 a Fw(2)642 4857 y Ff(Ignoring)35 b(suc)n(h)g(details)g(as) g(edge)g(states/p)r(oin)n(ts)i(and)e(the)g(cross-column)g(transition)g (for)e(non-0)515 4936 y(states.)1905 5255 y Fn(19)p eop end %%Page: 20 20 TeXDict begin 20 19 bop 515 523 a Fj(s)p Fn(,)27 b(and)g(stores)e(the)j (new)f(pairs)f($)p Fj(s)1587 493 y Fb(0)1610 523 y Fj(;)14 b(i)p Fn($)27 b(in)g(some)g(data)f(structure.)36 b(Matc)n(hing)27 b(pairs)f($)p Fj(s)3258 493 y Fb(0)3281 523 y Fj(;)14 b(i)p Fn($)515 623 y(and)33 b($)p Fj(s)753 593 y Fb(0)777 623 y Fj(;)14 b(j)5 b Fn($)34 b(need)f(to)h(b)r(e)g(com)n(bined)f(in)n (to)h(a)f(single)g(pair)g($)p Fj(s)2457 593 y Fb(0)2480 623 y Fj(;)14 b(i)22 b Fn(+)g Fj(j)28 b Fn(mo)r(d)23 b Fj(M)9 b Fn($,)36 b(whic)n(h)d(is)515 722 y(easy)28 b(if)h(all)g(states)g(can)f(b)r(e)i(k)n(ept)f(in)g(memory)-7 b(.)41 b(F)-7 b(or)28 b(large)g(computations,)h(lik)n(e)f Fj(m)e Fn(=)f(19,)515 822 y(this)e(is)g(not)f(p)r(ossible)h(and)f(the)i (state-coun)n(t)e(pairs)f(need)i(to)g(b)r(e)g(stored)f(on)h(disk.)35 b(T)-7 b(o)22 b(allo)n(w)515 922 y(for)h(e\016cien)n(t)g(com)n(bining)g (of)g(states,)h(w)n(e)f(collect)g(as)f(man)n(y)h(pairs)g(as)f(p)r (ossible)h(in)h(memory)-7 b(,)515 1021 y(b)r(efore)23 b(\015ushing)g(them)h(all)f(to)g(disk)g(in)g(sorted)g(order.)34 b(T)-7 b(o)23 b(sa)n(v)n(e)e(space,)j(w)n(e)f(store)f(only)h(the)515 1121 y(di\013erences)31 b(b)r(et)n(w)n(een)h(consecutiv)n(e)e(states)i ($using)f(7)g(bits)h(p)r(er)g(b)n(yte,)h(with)f(the)g(8th)g(bit)515 1220 y(indicating)24 b(the)h(last)f(b)n(yte$.)36 b(Note)24 b(that)h(a)f(state)g(can)g(app)r(ear)g(in)g(as)g(man)n(y)g(\014les)g (as)g(it)h(has)515 1320 y(predecessors)h(in)j Fc(L)p Fn($)p Fj(m;)14 b(n;)g(y)s Fn($.)41 b(The)29 b(total)g(n)n(um)n(b)r (er)f(of)h(state-coun)n(t-pairs)e(in)i(all)g(output)515 1420 y(\014les)20 b(is)h(th)n(us)g(larger)e(than)i(the)g(n)n(um)n(b)r (er)f(of)h($)p Fj(y)8 b Fn(+)d(1$-states)19 b(b)n(y)h(a)g(factor)g (in)h(the)h(range)d([1)p Fj(;)14 b Fn(3].)515 1519 y(This)28 b Fm(r)l(e)l(dundancy)h Fn(is)g(the)g(a)n(v)n(erage)c(n)n(um)n(b)r(er)k (of)f(\014les)h(in)g(whic)n(h)f(a)g($)p Fj(y)22 b Fn(+)d(1$-state)28 b(o)r(ccurs.)515 1619 y(Merging)22 b(all)h(output)g(\014les)g(while)h (com)n(bining)e(lik)n(e)h(pairs)f(remo)n(v)n(es)f(this)j(redundancy)e (and)515 1719 y(pro)r(duces)30 b(the)g(required)g Fc(L)p Fn($)p Fj(m;)14 b(n;)g(y)23 b Fn(+)d(1$.)46 b(T)-7 b(o)30 b(k)n(eep)g(redundancy)g(small,)h(w)n(e)f(w)n(an)n(t)g(the)515 1818 y(di\013eren)n(t)j(predecessors)d(of)j(a)g(state)f(to)h(b)r(e)g (close)f(together)g(in)h(the)h(input)f(ordering,)g(so)515 1918 y(that)26 b(com)n(bination)g(can)g(tak)n(e)f(place)h(b)r(efore)g (a)g(memory)f(\015ush.)37 b(This)26 b(ordering)f(dep)r(ends)515 2017 y(on)c(ho)n(w)g(the)h Fj(m)g Fn(3-bit)f(\014elds)h(are)f(joined)h (in)n(to)f(a)g(3)p Fj(m)g Fn(bit)i(in)n(teger.)34 b(W)-7 b(e)22 b(do)f(this)h(in)g(di\013eren)n(t)515 2117 y(w)n(a)n(ys,)i(suc)n (h)i(that)g(the)g(most)g(v)-5 b(ariable)24 b(\014elds,)j(namely)-7 b(,)26 b(those)f(close)g(to)h Fj(y)s Fn(,)g(end)g(in)g(up)g(the)515 2217 y(less)h(signi\014can)n(t)g(bits)h(of)f(the)h(3)p Fj(m)f Fn(bit)h(in)n(teger.)639 2316 y(It)g(turns)g(out)f(that)h(the)g (computation)f(of)h Fc(T)2062 2328 y Fk(m;y)2208 2316 y Fn(as)f(describ)r(ed)g(ab)r(o)n(v)n(e,)g Fm(pr)l(e)l(cisely)i Fn(\014ts)515 2416 y(the)34 b(Go)r(ogle)f Fm(MapR)l(e)l(duc)l(e)h Fn(framew)n(ork)e(describ)r(ed)h(in)h([13)o(].)56 b(Our)33 b(map)g(function)h(maps)515 2516 y(a)h(state-coun)n(t)g(pair)g($)p Fj(s;)14 b(i)p Fn($)36 b(to)g(a)f(list)i(of)e(2)h(or)f(3)g(new)h (pairs)f($)p Fj(s)2580 2485 y Fb(0)2604 2516 y Fj(;)14 b(i)p Fn($,)37 b(while)f(our)g(reduce)515 2615 y(function)28 b(merely)f(sums)g(mo)r(dulo)h Fj(M)9 b Fn(.)639 2715 y(Ha)n(ving)28 b(completed)h(all)f Fj(mn)h Fn(linear)f (transformations,)f(whic)n(h)i(giv)n(es)e(us)i Fc(L)p Fn($)p Fj(m;)14 b(n;)g Fn(0$,)515 2814 y(w)n(e)20 b(then)i(sum)f(all) f(coun)n(ters)g(of)h(legal)f(states)g(to)h(get)f(the)i(desired)e Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b(mo)r(d)g Fj(M)29 b Fn(result.)515 3047 y Fe(4.6)112 b(Complexit)m(y)515 3200 y Fn(The)40 b(main)g(factor)f(in)h(b)r(oth)h(time)f(and)g(space)g (complexit)n(y)f(is)h(the)g(n)n(um)n(b)r(er)g(of)g(state)515 3300 y(classes)32 b Fj(s)p Fn(.)57 b(This)34 b(ma)n(y)f(b)r(e)i(upp)r (erb)r(ounded)f(b)n(y)g(ignoring)e(the)j(connection)e(constrain)n(ts) 515 3399 y($equiv)-5 b(alen)n(t)32 b(to)f(balancing)g(paren)n (theses$)g(and)g(computing)h(the)g(largest)e(eigen)n(v)-5 b(alue)31 b(of)515 3499 y(the)25 b(in)n(tra-b)r(order)e(transition)i (matrix,)g(whic)n(h)g(turns)g(out)g(to)h(b)r(e)f Fj(\025)f Fi(\030)e Fn(5)p Fj(:)p Fn(372)i($the)h(largest)515 3599 y(ro)r(ot)32 b(of)g(\()p Fj(\025)23 b Fi(\000)e Fn(2$$)p Fj(\025)1140 3568 y Fh(2)1200 3599 y Fi(\000)g Fn(5)p Fj(\025)h Fi(\000)g Fn(2$\).)52 b(The)33 b(n)n(um)n(b)r(er)f (of)h(paths)g(of)f(length)h Fj(m)g Fn(through)f(the)515 3698 y(in)n(tra-b)r(order)23 b(transition)h(graph,)h(and)g(hence)g Fj(s)p Fn(,)g(is)g(therefore)g(b)r(ounded)g(b)n(y)g Fj(O)r Fn($)p Fj(\025)3108 3668 y Fk(m)3172 3698 y Fn($.)37 b(W)-7 b(e)515 3798 y(th)n(us)35 b(need)g(at)g(most)g Fj(\025)1274 3768 y Fk(m)1337 3798 y Fn($3)p Fj(m)23 b Fn(+)g(64$)35 b(bits)g(plus)g(the)g(o)n(v)n(erhead)e(for)i(the)g (datastructure)515 3897 y(whic)n(h)27 b(is)h(at)f(most)h(linear,)f(for) g(a)g(space)g(complexit)n(y)g(of)g Fj(O)r Fn($)p Fj(m\025)2547 3867 y Fk(m)2612 3897 y Fn($.)639 3997 y(F)-7 b(or)31 b(time)h(complexit)n(y)-7 b(,)32 b(w)n(e)f(ha)n(v)n(e)g(the)h(pro)r (duct)f(of)h(the)f(n)n(um)n(b)r(er)h(of)f(mo)r(duli,)i(whic)n(h)515 4097 y(is)25 b Fi(d)p Fj(mn)14 b Fn(log)877 4117 y Fh(2)914 4097 y Fn($3$)p Fj(=)p Fn(64)p Fi(e)p Fn(,)25 b(the)h(n)n(um)n(b)r (er)g Fj(mn)f Fn(of)h(passes,)f(the)h(n)n(um)n(b)r(er)f Fj(O)r Fn($)p Fj(\025)2772 4067 y Fk(m)2837 4097 y Fn($)h(of)g (states,)f(and)515 4196 y(the)j(amoun)n(t)f(of)g(w)n(ork)g Fj(O)r Fn($)p Fj(m)p Fn($)h(p)r(er)g(state,)f(whic)n(h)h(results)f (in)h(time)g Fj(O)r Fn($)p Fj(m)2818 4166 y Fh(3)2856 4196 y Fj(n)2906 4166 y Fh(2)2943 4196 y Fj(\025)2991 4166 y Fk(m)3055 4196 y Fn($.)515 4429 y Fe(4.7)112 b(Results)515 4582 y Fn(T)-7 b(able)28 b(4.7)f(sho)n(ws)g(the)i(n)n(um) n(b)r(er)f(of)g(legal)g(p)r(ositions.)38 b(As)29 b(the)f(computational) g(complex-)515 4682 y(it)n(y)d(suggests,)g(the)h Fj(L)p Fn($17)p Fj(;)14 b Fn(17$)24 b(result)h(to)r(ok)g(more)g(e\013ort)g (than)h(previous)e(com)n(bined.)36 b(The)515 4781 y(computation)24 b(to)r(ok)g(o)n(v)n(er)f(8000)g(CPU-hours)g(and)h(3TB)g(of)g(disk)h (space,)f(generously)f(pro-)515 4881 y(vided)30 b(b)n(y)h(the)g (Opteron)f(based)g(Lin)n(ux)g(Cluster)h(of)f(the)h(INS)g(group)f(at)g (the)h(Cen)n(ter)g(for)515 4981 y(Mathematics)c(and)g(Computer)h (Science)f($CWI$)i(in)f(Amsterdam.)1905 5255 y(20)p eop end %%Page: 21 21 TeXDict begin 21 20 bop 515 1207 3183 4 v 513 1306 4 100 v 598 1277 a Fj(n)p 696 1306 V 99 w Fn(#digits)p 1063 1306 V 100 w Fj(L)p Fn($)p Fj(n;)14 b(n)p Fn($)p 3695 1306 V 515 1310 3183 4 v 513 1409 4 100 v 606 1379 a(1)p 696 1409 V 99 w(1)p 1063 1409 V 326 w(1)p 3695 1409 V 513 1509 V 606 1479 a(2)p 696 1509 V 99 w(2)p 1063 1509 V 326 w(57)p 3695 1509 V 513 1609 V 606 1579 a(3)p 696 1609 V 99 w(5)p 1063 1609 V 326 w(12675)p 3695 1609 V 513 1708 V 606 1678 a(4)p 696 1708 V 99 w(8)p 1063 1708 V 326 w(24318165)p 3695 1708 V 513 1808 V 606 1778 a(5)p 696 1808 V 99 w(12)p 1063 1808 V 284 w(414295148741)p 3695 1808 V 513 1907 V 606 1878 a(6)p 696 1907 V 99 w(17)p 1063 1907 V 284 w(6256738650208)o(48)o(77)p 3695 1907 V 513 2007 V 606 1977 a(7)p 696 2007 V 99 w(23)p 1063 2007 V 284 w(8367784784798)o(42)o(87)o(628)o(59)o(5)p 3695 2007 V 513 2107 V 606 2077 a(8)p 696 2107 V 99 w(30)p 1063 2107 V 284 w(9909669536181)o(70)o(26)o(028)o(19)o(35)o(46)o(33)o (85)p 3695 2107 V 513 2206 V 606 2176 a(9)p 696 2206 V 99 w(39)p 1063 2206 V 284 w(1039191487912)o(93)o(83)o(431)o(89)o(83)o (09)o(04)o(38)o(79)o(87)o(93)o(46)o(9)p 3695 2206 V 513 2306 V 565 2276 a(10)p 696 2306 V 98 w(47)p 1063 2306 V 284 w(9649842850190)o(96)o(54)o(589)o(63)o(08)o(87)o(97)o(88)o(35)o (09)o(80)o(88)o(14)o(81)o(77)o(85)o(7)p 3695 2306 V 513 2406 V 565 2376 a(11)p 696 2406 V 98 w(57)p 1063 2406 V 284 w(7934748668165)o(82)o(26)o(682)o(09)o(36)o(67)o(17)o(90)o(18)o (91)o(32)o(32)o(16)o(73)o(38)o(31)o(12)o(18)o(51)o(51)o(89)o(9)p 3695 2406 V 513 2505 V 565 2475 a(12)p 696 2505 V 98 w(68)p 1063 2505 V 284 w(5777425848951)o(32)o(38)o(998)o(23)o(79)o(70)o (30)o(74)o(83)o(99)o(93)o(27)o(28)o(72)o(10)o(75)o(69)o(91)o(18)o(96)o (55)o(94)o(26)o(5)p 3695 2505 V 513 2605 V 696 2605 V 1063 2605 V 1115 2575 a(1331169)p 3695 2605 V 513 2704 V 565 2675 a(13)p 696 2704 V 98 w(80)p 1063 2704 V 284 w(3724979230768)o(63)o(96)o(442)o(29)o(49)o(04)o(76)o(70)o(24)o(51)o (76)o(74)o(24)o(91)o(57)o(94)o(82)o(08)o(71)o(75)o(33)o(25)o(47)o(9)p 3695 2704 V 513 2804 V 696 2804 V 1063 2804 V 1115 2774 a(9550970595875)o(23)o(77)o(05)p 3695 2804 V 513 2904 V 565 2874 a(14)p 696 2904 V 98 w(93)p 1063 2904 V 284 w(2126677329003)o(66)o(22)o(424)o(97)o(89)o(35)o(76)o(50)o(44)o(05)o (98)o(09)o(88)o(05)o(86)o(10)o(83)o(26)o(91)o(27)o(19)o(66)o(23)o(8)p 3695 2904 V 513 3003 V 696 3003 V 1063 3003 V 1115 2973 a(7221322819635)o(24)o(55)o(447)o(57)o(50)o(29)o(70)o(13)o(25)p 3695 3003 V 513 3103 V 565 3073 a(15)p 696 3103 V 98 w(107)p 1063 3103 V 242 w(1075146430836)o(13)o(83)o(118)o(76)o(84)o(13) o(75)o(48)o(66)o(12)o(38)o(09)o(73)o(37)o(88)o(82)o(03)o(27)o(84)o(44)o (02)o(76)o(46)o(0)p 3695 3103 V 513 3203 V 696 3203 V 1063 3203 V 1115 3173 a(1662870883601)o(71)o(12)o(983)o(09)o(33)o(92)o (39)o(86)o(89)o(98)o(33)o(78)o(01)o(50)o(94)o(91)p 3695 3203 V 513 3302 V 565 3272 a(16)p 696 3302 V 98 w(121)p 1063 3302 V 242 w(4813066963822)o(75)o(54)o(164)o(29)o(05)o(60)o(22)o (48)o(42)o(99)o(64)o(64)o(86)o(87)o(41)o(00)o(96)o(72)o(49)o(26)o(39)o (44)o(71)o(9)p 3695 3302 V 513 3402 V 696 3402 V 1063 3402 V 1115 3372 a(5999756074598)o(50)o(50)o(222)o(20)o(39)o(59)o(11)o (49)o(33)o(14)o(31)o(80)o(55)o(24)o(65)o(54)o(67)o(45)o(30)o(67)o(04)o (23)o(77)p 3695 3402 V 513 3501 V 565 3472 a(17)p 696 3501 V 98 w(137)p 1063 3501 V 242 w(1907938891962)o(81)o(99)o(204)o(60) o(57)o(26)o(18)o(18)o(50)o(46)o(52)o(20)o(15)o(10)o(58)o(33)o(81)o(47)o (92)o(22)o(43)o(96)o(72)o(6)p 3695 3501 V 513 3601 V 696 3601 V 1063 3601 V 1115 3571 a(9231944059187)o(21)o(47)o(679)o(97)o (10)o(59)o(92)o(34)o(17)o(35)o(20)o(92)o(30)o(66)o(72)o(88)o(46)o(21)o (79)o(09)o(00)o(73)o(65)o(9)p 3695 3601 V 513 3701 V 696 3701 V 1063 3701 V 1115 3671 a(7125832620874)o(37)p 3695 3701 V 513 3800 V 565 3770 a(18)p 696 3800 V 98 w(153)p 1063 3800 V 242 w(6697231142888)o(29)o(21)o(289)o(27)o(40)o(18) o(88)o(41)o(70)o(65)o(43)o(50)o(99)o(37)o(78)o(06)o(40)o(17)o(87)o(32)o (81)o(03)o(18)o(3)p 3695 3800 V 513 3900 V 696 3900 V 1063 3900 V 1115 3870 a(3769694562442)o(85)o(47)o(218)o(10)o(52)o(14)o (32)o(60)o(12)o(77)o(43)o(71)o(39)o(71)o(84)o(84)o(88)o(90)o(97)o(01)o (11)o(83)o(62)o(8)p 3695 3900 V 513 4000 V 696 4000 V 1063 4000 V 1115 3970 a(3470468812827)o(90)o(71)o(499)o(26)o(50)o(23)o (47)o(63)o(3)p 3695 4000 V 515 4003 3183 4 v 1191 4235 a(T)-7 b(able)27 b(3:)37 b(Num)n(b)r(er)27 b(of)h(legal)f Fj(n)18 b Fi(\002)g Fj(n)27 b Fn(p)r(ositions.)1905 5255 y(21)p eop end %%Page: 22 22 TeXDict begin 22 21 bop 1241 443 1411 4 v 1240 543 4 100 v 1324 513 a Fj(n)p 1422 543 V 100 w(L)p Fn($)p Fj(n;)14 b(n)p Fn($)p 2651 543 V 1241 546 1411 4 v 1240 646 4 100 v 1291 616 a(18)p 1422 646 V 99 w Fi(\030)23 b Fn(0)p Fj(:)p Fn(0173)16 b Fi(\001)i Fn(3)1894 586 y Fh(324)2020 616 y Fi(\030)23 b Fn(6)p Fj(:)p Fn(6)17 b Fi(\001)i Fn(10)2358 586 y Fh(152)p 2651 646 V 1240 746 V 1291 716 a Fn(19)p 1422 746 V 99 w Fi(\030)k Fn(0)p Fj(:)p Fn(01196)15 b Fi(\001)k Fn(3)1936 686 y Fh(361)2062 716 y Fi(\030)j Fn(2)p Fj(:)p Fn(082)17 b Fi(\001)h Fn(10)2482 686 y Fh(170)p 2651 746 V 1240 845 V 1291 815 a Fn(29)p 1422 845 V 99 w Fi(\030)23 b Fn(1)p Fj(:)p Fn(2)17 b Fi(\001)i Fn(10)1812 785 y Fb(\000)p Fh(4)1918 815 y Fi(\001)g Fn(3)2002 785 y Fh(841)2128 815 y Fi(\030)j Fn(2)p Fj(:)p Fn(2)c Fi(\001)g Fn(10)2465 785 y Fh(397)p 2651 845 V 1240 945 V 1291 915 a Fn(39)p 1422 945 V 99 w Fi(\030)23 b Fn(2)p Fj(:)p Fn(4)17 b Fi(\001)i Fn(10)1812 885 y Fb(\000)p Fh(7)1918 915 y Fi(\001)g Fn(3)2002 885 y Fh(1521)2161 915 y Fi(\030)j Fn(1)p Fj(:)p Fn(2)c Fi(\001)g Fn(10)2498 885 y Fh(719)p 2651 945 V 1240 1044 V 1291 1015 a Fn(49)p 1422 1044 V 99 w Fi(\030)23 b Fn(9)17 b Fi(\001)i Fn(10)1747 984 y Fb(\000)p Fh(11)1887 1015 y Fi(\001)f Fn(3)1970 984 y Fh(2401)2129 1015 y Fi(\030)23 b Fn(3)p Fj(:)p Fn(5)17 b Fi(\001)i Fn(10)2467 984 y Fh(1135)p 2651 1044 V 1240 1144 V 1291 1114 a Fn(59)p 1422 1144 V 99 w Fi(\030)k Fn(7)17 b Fi(\001)i Fn(10)1747 1084 y Fb(\000)p Fh(15)1887 1114 y Fi(\001)f Fn(3)1970 1084 y Fh(3481)2129 1114 y Fi(\030)23 b Fn(5)18 b Fi(\001)g Fn(10)2402 1084 y Fh(1646)p 2651 1144 V 1240 1244 V 1291 1214 a Fn(69)p 1422 1244 V 99 w Fi(\030)23 b Fn(1)p Fj(:)p Fn(1)17 b Fi(\001)i Fn(10)1812 1184 y Fb(\000)p Fh(19)1951 1214 y Fi(\001)g Fn(3)2035 1184 y Fh(4761)2194 1214 y Fi(\030)j Fn(4)c Fi(\001)h Fn(10)2467 1184 y Fh(2252)p 2651 1244 V 1240 1343 V 1291 1313 a Fn(79)p 1422 1343 V 99 w Fi(\030)k Fn(3)17 b Fi(\001)i Fn(10)1747 1283 y Fb(\000)p Fh(25)1887 1313 y Fi(\001)f Fn(3)1970 1283 y Fh(6241)2129 1313 y Fi(\030)23 b Fn(2)18 b Fi(\001)g Fn(10)2402 1283 y Fh(2953)p 2651 1343 V 1240 1443 V 1291 1413 a Fn(89)p 1422 1443 V 99 w Fi(\030)23 b Fn(2)17 b Fi(\001)i Fn(10)1747 1383 y Fb(\000)p Fh(31)1887 1413 y Fi(\001)f Fn(3)1970 1383 y Fh(7921)2129 1413 y Fi(\030)23 b Fn(4)18 b Fi(\001)g Fn(10)2402 1383 y Fh(3748)p 2651 1443 V 1240 1543 V 1291 1513 a Fn(99)p 1422 1543 V 99 w Fi(\030)23 b Fn(2)17 b Fi(\001)i Fn(10)1747 1483 y Fb(\000)p Fh(38)1887 1513 y Fi(\001)f Fn(3)1970 1483 y Fh(9801)2129 1513 y Fi(\030)23 b Fn(4)18 b Fi(\001)g Fn(10)2402 1483 y Fh(4638)p 2651 1543 V 1241 1546 1411 4 v 992 1778 a Fn(T)-7 b(able)27 b(4:)36 b(Estimated)28 b(Num)n(b)r(er)f(of)h(legal)f Fj(n)18 b Fi(\002)g Fj(n)28 b Fn(p)r(ositions.)639 2043 y(A)42 b(few)g(more)f(mon)n(ths)g(of)g (computing)h(w)n(ere)e(sp)r(en)n(t)i(b)n(y)f(other)g(p)r(eople)g (trying)g(to)515 2143 y(factor)f(the)h(n)n(um)n(b)r(er)g(follo)n(wing)f (its)i(announcemen)n(t)e(on)h Fl(rec.games.go)36 b Fn(on)41 b(August)515 2242 y(18,)i(2006.)73 b(The)41 b(smallest)f(factor)f(of)i (46542825577)35 b(w)n(as)k(easy)h(to)g(\014nd)h(but)g(the)g(re-)515 2342 y(maining)i(126)e(digit)j(comp)r(osite)f(n)n(um)n(b)r(er)g(pro)n (v)n(ed)e(a)i(hard)g(n)n(ut)g(to)g(crac)n(k.)83 b(Thanks)515 2442 y(to)40 b(P)n(aul)f(Leyland)g(and)h(the)g(General)g(Num)n(b)r(er)g (Field)g(Siev)n(e,)j(the)d(middle)h(factor)e(of)515 2541 y(2518026579235)o(04)o(57)o(82)o(50)o(46)o(049)o(34)o(90)o(71)o(61)o (58)o(95)o(29)14 b(w)n(as)19 b(found)i(b)n(y)f(Decem)n(b)r(er)h(23,)g (2006.)515 2774 y Fe(4.8)112 b(Heuristic)37 b(Sampling)i(Results)515 2927 y Fn(P)n(ang)26 b(Chen)i([9)o(],)g(impro)n(ving)f(on)g(earlier)f (w)n(ork)g(of)i(Kn)n(uth)g(and)f(Purdom,)g(dev)n(elop)r(ed)g(an)515 3026 y(elegan)n(t)h(un)n(biased)h(estimator)g(of)h(treesize)f(that)h (tak)n(es)e(adv)-5 b(an)n(tage)28 b(of)i(heuristic)f(kno)n(wl-)515 3126 y(edge)k(in)h(the)h(form)e(of)h(a)g(strati\014er.)54 b(This)34 b(is)g(a)g(function)g(on)g(tree)f(no)r(des)h(whic)n(h)g(m)n (ust)515 3226 y(decrease)19 b(when)h(follo)n(wing)f(tree)h(edges,)h (and)f(whic)n(h)g(should)g(correlate)f(with)h(subtree)g(size,)515 3325 y(since)29 b(this)h(determines)f(the)h(estimator)f(v)-5 b(ariance.)41 b(P)n(ang)28 b(demonstrated)h(the)h(p)r(o)n(w)n(er)e(of) 515 3425 y(his)23 b(Heuristic)g(Sampling)h(algorithm)e(on)h(the)h (problem)e(of)i(coun)n(ting)e(uncrossed)h(knigh)n(t's)515 3525 y(tours)31 b(on)g(a)h(c)n(hess)f(b)r(oard.)49 b(As)32 b(strati\014er)e(he)i(used)g(the)g(n)n(um)n(b)r(er)g(of)g(un)n(visited) g(squares)515 3624 y(reac)n(hable)26 b(b)n(y)h Fm(curr)l(ently)i(valid) h Fn(knigh)n(t)d(mo)n(v)n(es.)639 3724 y(W)-7 b(e)28 b(applied)e(his)h(tec)n(hnique)g(to)g(the)g(problem)f(of)h(coun)n(ting) f(legal)g(p)r(ositions)h(b)n(y)f(esti-)515 3823 y(mating)g(the)g(size)g (of)g(the)h(tree)f(of)g(successiv)n(e)f(b)r(order)g(states)h(to)g (depth)h Fj(n)2851 3793 y Fh(2)2888 3823 y Fn(.)37 b(As)26 b(strati\014er)515 3923 y(w)n(e)k(use)g(the)h(pair)f($remaining)g (depth,)i Fj(m)f Fn(min)n(us)f(the)h(n)n(um)n(b)r(er)f(of)h(lib)r(ert)n (yless)f(strings$.)515 4023 y(F)-7 b(or)24 b(eac)n(h)g(b)r(oardsize)g (of)h(in)n(terest,)g(w)n(e)g(to)r(ok)f(the)h(a)n(v)n(erage)d(of)j(b)r (et)n(w)n(een)g(10)2856 3993 y Fh(5)2917 4023 y Fn(and)g(10)3160 3993 y Fh(7)3221 4023 y Fn(runs)515 4122 y(of)i(the)h(Heuristic)g (Sampling)f(algorithm,)g(with)h(the)g(results)f(sho)n(wn)g(in)h(T)-7 b(able)27 b(4.)515 4355 y Fe(4.9)112 b(Asymptotic)37 b(Bounds)515 4508 y Fn(Let)d Fj(K)39 b Fn(denote)34 b(the)g(set)g(of)g (p)r(oin)n(ts)g(on)f(an)h Fj(m)22 b Fi(\002)h Fj(n)33 b Fn(b)r(oard,)i(reac)n(hable)d(from)i(one)f($3,3$)515 4608 y(p)r(oin)n(t)i(with)g(`orthogonal')e(knigh)n(t)i(mo)n(v)n(es,)g (as)f(sho)n(wn)g(in)h(Figure)g(11.)58 b(F)-7 b(or)34 b(simplicit)n(y)-7 b(,)515 4707 y(assume)26 b(that)h Fj(m)f Fn(and)h Fj(n)f Fn(are)g(divisible)g(b)n(y)h(5,)f(so)g(that)h (set)f Fj(K)33 b Fn(has)26 b(size)g Fj(mn=)p Fn(5)f($for)i(other)515 4807 y Fj(m;)14 b(n)p Fn(,)32 b Fi(j)p Fj(K)6 b Fi(j)32 b Fn(equals)f Fj(mn=)p Fn(5)f(rounded)i(up)g(or)f(do)n(wn$.)49 b(W)-7 b(e)32 b(use)g Fj(K)37 b Fn(to)32 b(deriv)n(e)e(b)r(oth)j(lo)n (w)n(er)515 4907 y(and)27 b(upp)r(er)h(b)r(ounds)g(on)f Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($.)1905 5255 y(22)p eop end %%Page: 23 23 TeXDict begin 23 22 bop 884 1705 a @beginspecial 0 @llx 0 @lly 289 @urx 172 @ury 2551 @rwi @setspecial %%BeginDocument: knight.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: knight.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Mon Jul 18 17:45:49 2005 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 289 172 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 172 moveto 0 0 lineto 289 0 lineto 289 172 lineto closepath clip newpath -31.0 176.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Ellipse 7.500 slw n 2550 1950 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 2850 1350 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 2550 450 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 2850 2850 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3150 2250 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3750 2550 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3450 1650 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3150 750 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3450 150 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 3750 1050 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4050 450 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4350 1350 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4950 1650 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4650 2250 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4050 1950 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 5250 2550 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4650 750 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4950 150 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 5250 1050 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 4350 2850 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 1200 1500 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 600 1200 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 1500 900 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 1800 1800 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Ellipse n 900 2100 75 75 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr % Polyline n 600 900 m 1800 900 l 1800 2100 l 600 2100 l cp gs col0 s gr % Polyline n 900 900 m 900 2100 l gs col0 s gr % Polyline n 1200 900 m 1200 2100 l gs col0 s gr % Polyline n 1500 900 m 1500 2100 l gs col0 s gr % Polyline n 600 1200 m 1800 1200 l gs col0 s gr % Polyline n 600 1500 m 1800 1500 l gs col0 s gr % Polyline n 600 1800 m 1800 1800 l gs col0 s gr % Polyline n 2850 150 m 2850 2850 l gs col0 s gr % Polyline n 3450 150 m 3450 2850 l gs col0 s gr % Polyline n 3750 150 m 3750 2850 l gs col0 s gr % Polyline n 4050 150 m 4050 2850 l gs col0 s gr % Polyline n 4350 150 m 4350 2850 l gs col0 s gr % Polyline n 4650 150 m 4650 2850 l gs col0 s gr % Polyline n 2550 450 m 5250 450 l gs col0 s gr % Polyline n 2550 750 m 5250 750 l gs col0 s gr % Polyline n 2550 1050 m 5250 1050 l gs col0 s gr % Polyline n 2550 1350 m 5250 1350 l gs col0 s gr % Polyline n 2550 1950 m 5250 1950 l gs col0 s gr % Polyline n 2550 2250 m 5250 2250 l gs col0 s gr % Polyline n 4950 150 m 4950 2850 l gs 0.00 setgray ef gr gs col0 s gr % Polyline n 2550 2550 m 5250 2550 l gs 0.00 setgray ef gr gs col0 s gr % Polyline n 3150 150 m 3150 2850 l gs col0 s gr % Polyline n 2550 1650 m 5250 1650 l gs col0 s gr % Polyline n 2550 150 m 5250 150 l 5250 2850 l 2550 2850 l cp gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 781 1971 a Fn(Figure)27 b(11:)35 b(Knigh)n(t)28 b(subset)f(of)h(p)r(oin)n(ts)f(on)h(5)17 b Fi(\002)i Fn(5)27 b(and)g(10)18 b Fi(\002)g Fn(10)26 b(b)r(oards.)515 2231 y Fg(Theorem)32 b(3)41 b Fm(F)-6 b(or)30 b Fj(m;)14 b(n)29 b Fm(divisible)k(by)d(5,)627 2441 y Fn(3)679 2385 y Fq(4)p Fs(mn)p 678 2394 116 3 v 722 2427 a Fq(5)808 2441 y Fn($1)18 b Fi(\000)1014 2385 y Fn(2)p 993 2422 84 4 v 993 2498 a(81)1086 2441 y($)1128 2378 y Fq(2$)p Fs(m)p Fq(+)p Fs(n)p Fq($)p 1129 2394 204 3 v 1216 2427 a(5)1369 2441 y Fi(\024)23 b Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b Fi(\024)f Fn(3)1890 2407 y Fk(mn)1994 2441 y Fn($1)c Fi(\000)2200 2385 y Fn(2)p 2179 2422 84 4 v 2179 2498 a(81)2272 2441 y($)2314 2378 y Fq(2$)p Fs(m)p Fq(+)p Fs(n)p Fq($)p 2314 2394 204 3 v 2402 2427 a(5)2532 2441 y Fn($1)g Fi(\000)2759 2385 y Fn(2)p 2717 2422 125 4 v 2717 2498 a(243)2852 2441 y($)2894 2378 y Fs(mn)p Fp(\000)p Fq(2$)p Fs(m)p Fq(+)p Fs(n)p Fq($)p 2894 2394 336 3 v 3048 2427 a(5)3244 2441 y Fj(:)639 2640 y Fg(Pr)n(oof.)55 b Fn(F)-7 b(or)33 b(the)h(lo)n(w)n(er)f(b)r (ound,)i(color)e(the)h(p)r(oin)n(ts)g(in)g Fj(K)39 b Fn(empt)n(y)-7 b(,)36 b(and)d(all)h(other)515 2740 y(p)r(oin)n(ts)h (randomly)-7 b(.)60 b(Then)35 b(illegalit)n(y)g(can)g(only)g(arise)f (at)i(the)g(2$)p Fj(m)23 b Fn(+)g Fj(n)p Fn($)p Fj(=)p Fn(5)35 b(p)r(oin)n(ts)g(on)515 2840 y(the)c(edge)f(that)h(neither)g(b) r(elong)f(to)g Fj(K)37 b Fn(nor)29 b(neigh)n(b)r(our)h Fj(K)6 b Fn(.)46 b(F)-7 b(or)30 b(eac)n(h)g(suc)n(h)g(p)r(oin)n(t,)i (the)515 2939 y(probabilit)n(y)e(of)i(b)r(eing)g(a)f(lib)r(ert)n(yless) g(stone)g(is)h(2)20 b Fi(\001)h Fn(3)2195 2909 y Fb(\000)p Fh(4)2314 2939 y Fn(=)29 b(2)p Fj(=)p Fn(81,)i(and)h(these)f(ev)n(en)n (ts)g(are)515 3039 y(indep)r(enden)n(t,)c(so)e(the)i(whole)e(p)r (osition)h(is)g(legal)f(with)i(probabilit)n(y)e($1)15 b Fi(\000)f Fn(2)p Fj(=)p Fn(81$)3050 3009 y Fh(2$)p Fk(m)p Fh(+)p Fk(n)p Fh($)p Fk(=)p Fh(5)3356 3039 y Fn(.)639 3138 y(F)-7 b(or)35 b(the)g(upp)r(er)g(b)r(ound,)i(w)n(e)e (color)e(all)i(p)r(oin)n(ts)f(randomly)g(and)h(only)f(c)n(hec)n(k)g(if) i(an)n(y)515 3238 y(p)r(oin)n(t)30 b(in)h Fj(K)36 b Fn(is)30 b(a)g(one-stone)f(string)g(without)i(lib)r(erties.)45 b(F)-7 b(or)30 b(eac)n(h)f(of)h(the)h(2$)p Fj(m)20 b Fn(+)g Fj(n)p Fn($)p Fj(=)p Fn(5)515 3338 y(edge)i(p)r(oin)n(ts)i(of)f Fj(K)29 b Fn(this)23 b(happ)r(ens)g(with)h(probabilit)n(y)e(2)p Fj(=)p Fn(81)g(and)h(for)g(eac)n(h)f(of)h(the)h Fj(mn=)p Fn(5)10 b Fi(\000)515 3437 y Fn(2$)p Fj(m)18 b Fn(+)h Fj(n)p Fn($)p Fj(=)p Fn(5)27 b(in)n(terior)g(p)r(oin)n(ts)h(of)g Fj(K)33 b Fn(this)c(happ)r(ens)f(with)g(probabilit)n(y)f(2)19 b Fi(\001)f Fn(3)2947 3407 y Fb(\000)p Fh(5)3060 3437 y Fn(=)23 b(2)p Fj(=)p Fn(243.)515 3537 y(Again,)k(these)h(ev)n(en)n (ts)e(are)h(all)g(indep)r(enden)n(t.)1374 b Fi(\017)515 3804 y Fe(4.10)112 b(The)38 b(base)g(of)g(lib)s(erties)515 3957 y Fn(The)f(previous)f(section)h(sho)n(ws)f(that)i Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)2041 3927 y Fh(1)p Fk(=mn)2249 3957 y Fn(is)37 b(roughly)f(b)r(et)n(w)n(een)h(3)3026 3927 y Fh(4)p Fk(=)p Fh(5)3169 3957 y Fi(\030)i Fn(2)p Fj(:)p Fn(4)515 4057 y(and)33 b(3$1)21 b Fi(\000)948 4024 y Fh(2)p 915 4038 100 4 v 915 4085 a(243)1025 4057 y Fn($)1057 4027 y Fh(1)p Fk(=)p Fh(5)1193 4057 y Fi(\030)32 b Fn(2)p Fj(:)p Fn(995.)51 b(In)33 b(this)g(section)g(w)n(e)f(pro)n(v)n (e)g(that)h Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)2937 4027 y Fh(1)p Fk(=mn)3141 4057 y Fn(in)33 b(fact)515 4156 y(con)n(v)n(erges)28 b(to)i(a)h(sp)r(eci\014c)g(v)-5 b(alue)30 b Fj(L)p Fn(,)h(whic)n(h)g(w)n(e)f(call)h(the)g Fm(b)l(ase)i(of)g(lib)l(erties)p Fn(.)47 b(This)31 b(is)g(the)515 4256 y(2-dimensional)g(analogue)h(of)g(the)i(1-dimensional)d(gro)n(wth) h(rate)g Fj(\025)2686 4268 y Fh(1)2756 4256 y Fi(\030)f Fn(2)p Fj(:)p Fn(7693)g(deriv)n(ed)515 4356 y(in)d(Section)f(4.4.1.)639 4455 y(Fix)41 b Fj(m)f Fn(and)g Fj(n)p Fn(.)75 b(Consider)40 b(an)n(y)f Fj(M)53 b Fn(=)44 b Fj(q)2045 4467 y Fk(m)2108 4455 y Fj(m)27 b Fn(+)g Fj(r)2337 4467 y Fk(m)2441 4455 y Fn(and)40 b Fj(N)53 b Fn(=)44 b Fj(q)2881 4467 y Fk(n)2926 4455 y Fj(n)27 b Fn(+)f Fj(r)3131 4467 y Fk(n)3218 4455 y Fn(with)515 4555 y(0)c Fi(\024)h Fj(r)704 4567 y Fk(m)791 4555 y Fj(<)f(m;)14 b Fn(0)23 b Fi(\024)f Fj(r)1177 4567 y Fk(n)1246 4555 y Fj(<)g(n)p Fn(.)37 b(Since)27 b(tiling)g(legal)f(p)r (ositions)h(together)f(preserv)n(es)f(legalit)n(y)-7 b(,)515 4654 y(w)n(e)27 b(ha)n(v)n(e)936 4830 y Fj(L)p Fn($)p Fj(M)t(;)14 b(N)9 b Fn($)23 b Fi(\025)f Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)1646 4796 y Fk(q)1676 4804 y Fs(m)1732 4796 y Fk(q)1762 4804 y Fs(n)1807 4830 y Fj(L)p Fn($)p Fj(m;)g(r)2043 4842 y Fk(n)2088 4830 y Fn($)2120 4796 y Fk(q)2150 4804 y Fs(m)2210 4830 y Fj(L)p Fn($)p Fj(r)2336 4842 y Fk(m)2399 4830 y Fj(;)g(n)p Fn($)2518 4796 y Fk(q)2548 4804 y Fs(n)2594 4830 y Fj(L)p Fn($)p Fj(r)2720 4842 y Fk(m)2783 4830 y Fj(;)g(r)2857 4842 y Fk(n)2903 4830 y Fn($)p Fj(:)515 5006 y Fn(This)27 b(pro)n(v)n(es)1905 5255 y(23)p eop end %%Page: 24 24 TeXDict begin 24 23 bop 515 523 a Fg(Theorem)32 b(4)41 b Fn(ln)14 b Fj(L)p Fn($)p Fj(m;)g(n)p Fn($)29 b Fm(is)i(sup)l(er)l (additive)g(in)f(b)l(oth)g(ar)l(guments.)515 706 y Fg(Theorem)i(5)41 b Fn(lim)1122 721 y Fh(min)o($)p Fk(m;n)p Fh($)p Fb(!1)1554 706 y Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)1835 676 y Fh(1)p Fk(=mn)2036 706 y Fm(c)l(onver)l(ges)30 b(to)g(some)g(value)g Fj(L)p Fm(.)639 888 y Fg(Pr)n(oof.)36 b Fn(W)-7 b(e)28 b(extend)g(the)g(pro)r(of)f(of)h(F)-7 b(ek)n(ete's)27 b(theorem)g(to)h(2)f(dimensions:)743 1114 y(lim)14 b(inf)719 1168 y Fk(M)s(;N)6 b Fb(!1)1020 1058 y Fn(ln)14 b Fj(L)p Fn($)p Fj(M)t(;)g(N)9 b Fn($)p 1020 1095 402 4 v 1138 1171 a Fj(M)g(N)1455 1114 y Fi(\025)46 b Fn(lim)14 b(inf)1542 1168 y Fk(M)s(;N)6 b Fb(!1)1843 1058 y Fj(q)1880 1070 y Fk(m)1943 1058 y Fj(q)1980 1070 y Fk(n)p 1843 1095 183 4 v 1852 1171 a Fj(M)j(N)2049 1114 y Fn(ln)14 b Fj(L)p Fn($)p Fj(m;)g(n)p Fn($)k(+)2557 1058 y Fj(q)2594 1070 y Fk(m)p 2524 1095 166 4 v 2524 1171 a Fj(M)9 b(N)2713 1114 y Fn(ln)14 b Fj(L)p Fn($)p Fj(m;)g(r)3032 1126 y Fk(n)3078 1114 y Fn($+)998 1397 y(+)1114 1341 y Fj(q)1151 1353 y Fk(n)p 1073 1378 V 1073 1454 a Fj(M)9 b(N)1262 1397 y Fn(ln)14 b Fj(L)p Fn($)p Fj(r)1471 1409 y Fk(m)1534 1397 y Fj(;)g(n)p Fn($)19 b(+)1827 1341 y(1)p 1765 1378 V 1765 1454 a Fj(M)9 b(N)1954 1397 y Fn(ln)14 b Fj(L)p Fn($)p Fj(r)2163 1409 y Fk(m)2226 1397 y Fj(;)g(r)2300 1409 y Fk(n)2346 1397 y Fn($)23 b(=)2499 1341 y(ln)14 b Fj(L)p Fn($)p Fj(m;)g(n)p Fn($)p 2499 1378 364 4 v 2619 1454 a Fj(mn)2872 1397 y(:)515 1570 y Fn(Since)28 b Fj(m)f Fn(and)h Fj(n)f Fn(w)n(ere)g(arbitrary)-7 b(,)25 b(w)n(e)j(get)1246 1796 y(lim)14 b(inf)1223 1849 y Fk(M)s(;N)6 b Fb(!1)1523 1740 y Fn(ln)14 b Fj(L)p Fn($)p Fj(M)t(;)g(N)9 b Fn($)p 1523 1777 402 4 v 1642 1853 a Fj(M)g(N)1958 1796 y Fi(\025)63 b Fn(sup)2046 1866 y Fk(m;n)p Fb(\025)p Fh(1)2274 1740 y Fn(ln)14 b Fj(L)p Fn($)p Fj(m;)g(n)p Fn($)p 2274 1777 364 4 v 2395 1853 a Fj(mn)2648 1796 y(;)515 2060 y Fn(hence)755 2020 y Fh(ln)d Fk(L)p Fh($)p Fk(m;n)p Fh($)p 755 2041 284 4 v 847 2089 a Fk(mn)1077 2060 y Fn(con)n(v)n(erges)25 b(to)i(some)g(v)-5 b(alue)28 b(ln)14 b Fj(L)p Fn(.)1201 b Fi(\017)515 2329 y Fe(4.11)112 b(An)37 b(Asymptotic)h(F)-9 b(orm)m(ula)515 2497 y Fn(Theorems)35 b(5)i(and)f(2)h(together)f(imply)h(that)g Fj(a)2047 2453 y Fh(1)p Fk(=mn)2047 2506 y(m)2218 2497 y Fj(\025)2266 2453 y Fh(1)p Fk(=m)2266 2506 y(m)2396 2497 y Fn(,)j(and)c(hence)h Fj(\025)2917 2453 y Fh(1)p Fk(=m)2917 2506 y(m)3084 2497 y Fn($since)g Fj(n)515 2596 y Fn(can)32 b(go)g(to)g(in\014nit)n(y)h (arbitrarily)e(faster)h(than)g Fj(m)p Fn($,)i(con)n(v)n(erge)d(to)h Fj(L)p Fn(.)51 b(T)-7 b(able)33 b(2)f(con\014rms)515 2696 y(that)25 b(the)h Fj(\025)881 2708 y Fk(m)970 2696 y Fn(v)-5 b(alues)25 b(b)r(eha)n(v)n(e)g(roughly)f(as)g Fj(L)1946 2666 y Fk(m)2034 2696 y Fn(for)h(some)g Fj(L)p Fn(.)36 b(In)25 b(this)h(section)f(w)n(e)g(extend)515 2795 y(Theorem)k(2)h(to)h(deriv)n(e)e(a)h(m)n(uc)n(h)g(stronger)f (result,)i(alb)r(eit)g(con)n(tingen)n(t)e(on)h(a)g(conjecture)515 2895 y(ab)r(out)23 b(ho)n(w)g(fast)g(the)h(sub)r(dominan)n(t)g(terms)f (disapp)r(ear.)34 b(The)24 b(cen)n(tral)e(idea)h(is)h(that)f(since)515 2995 y(ln$)p Fj(L)p Fn(\()p Fj(m;)14 b(n)p Fn($\))30 b(is)g(asymptotically)e(linear)h(in)h Fj(n)g Fn(for)f(eac)n(h)g Fj(m)p Fn(,)h(and)f(symmetric,)h(it)g(can)g(b)r(e)515 3094 y(exp)r(ected)e(to)f(b)r(e)h(asymptotically)f(bilinear)g(in)h Fj(m)f Fn(and)h Fj(n)p Fn(.)639 3194 y(The)39 b(parameters)e(guaran)n (teed)g(b)n(y)i(Theorem)f(2)g(ma)n(y)g(b)r(e)i(obtained)e(from)h Fj(L)p Fn()g(as)515 3294 y(follo)n(ws:)515 3476 y Fg(Cor)n(ollar)-6 b(y)31 b(4)1585 3686 y Fj(\025)1633 3698 y Fk(m)1720 3686 y Fn(=)51 b(lim)1807 3736 y Fk(n)p Fb(!1)2004 3630 y Fj(L)p Fn($)p Fj(m;)14 b(n)k Fn(+)g(1$)p 2004 3667 424 4 v 2076 3743 a Fj(L)p Fn($)p Fj(m;)c(n)p Fn($)2438 3686 y Fj(;)1590 3915 y(a)1634 3927 y Fk(m)1720 3915 y Fn(=)51 b(lim)1807 3965 y Fk(n)p Fb(!1)2004 3859 y Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)p 2004 3896 281 4 v 2089 3972 a Fj(\025)2137 3948 y Fk(n)2137 3993 y(m)2295 3915 y Fj(;)1433 4144 y(r)r Fn($)p Fj(m;)g(n)p Fn($)24 b(=)1817 4088 y Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)p 1817 4125 V 1848 4201 a Fj(a)1892 4222 y Fk(m)1955 4201 y Fj(\025)2003 4177 y Fk(n)2003 4222 y(m)2126 4144 y Fi(\000)k Fn(1)p Fj(:)639 4371 y Fn(In)32 b(practice)e(the)h Fj(\036)1259 4383 y Fk(m)1354 4371 y Fn(v)-5 b(alues)31 b(are)f(small)g(enough)h(that)g(a)g(n)n(um)n(b)r(er)g(of)g Fj(a)2961 4383 y Fk(m)3024 4371 y Fn(,)h Fj(\025)3127 4383 y Fk(m)3190 4371 y Fn(,)g(and)515 4470 y Fj(r)r Fn($)p Fj(m;)14 b(n)p Fn($)29 b(can)e(b)r(e)h(computed)g(with)h(go)r (o)r(d)e(accuracy)f(from)i(the)g Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)27 b(v)-5 b(alues)28 b(that)g(are)515 4570 y(practical)i(to)i(compute)g(b)n(y)g(the)g(dynamic)f(programming)f (algorithm.)48 b(Before)31 b(lo)r(oking)515 4670 y(further)i(at)h (these)g(w)n(e)f(deriv)n(e)g(a)g(n)n(um)n(b)r(er)g(of)h(lemmas)f(ab)r (out)h(symmetric)f(and)h(asymp-)515 4769 y(totically)h(linear)g (functions.)61 b(Recall)36 b(that)g(the)g(discrete)f(deriv)-5 b(ativ)n(e)35 b(\001)h(is)f(de\014ned)h(b)n(y)515 4869 y(\001)p Fj(f)9 b Fn($)p Fj(n)p Fn($)23 b(=)g Fj(f)9 b Fn($)p Fj(n)18 b Fn(+)g(1$)g Fi(\000)g Fj(f)9 b Fn($)p Fj(n)p Fn($.)639 4969 y(First)28 b(a)f(discrete)g(in)n(tegration)f (result)i(needed)f(in)h(Lemma)g(15;)1905 5255 y(24)p eop end %%Page: 25 25 TeXDict begin 25 24 bop 515 523 a Fg(Lemma)31 b(13)41 b Fm(If)33 b Fn(\001)p Fj(g)s Fn($)p Fj(n)p Fn($)28 b(=)f Fj(O)r Fn($)p Fj(\036)1539 493 y Fk(n)1585 523 y Fn($)33 b Fm(for)g(some)f Fn(0)27 b Fi(\024)g Fj(\036)h(<)f Fn(1)32 b Fm(then)g Fj(g)s Fn($)p Fj(n)p Fn($)27 b(=)g Fj(\015)e Fn(+)20 b Fj(O)r Fn($)p Fj(\036)3165 493 y Fk(n)3212 523 y Fn($)32 b Fm(for)515 623 y(some)e Fj(\015)5 b Fm(.)38 b(Likewise)32 b Fn(\001)p Fj(g)s Fn($)p Fj(n)p Fn($)23 b(=)f Fj(O)r Fn($)p Fj(n\036)1707 593 y Fk(n)1754 623 y Fn($)30 b Fm(implies)h Fj(g)s Fn($)p Fj(n)p Fn($)23 b(=)g Fj(\015)g Fn(+)18 b Fj(O)r Fn($)p Fj(n\036)2713 593 y Fk(n)2759 623 y Fn($)30 b Fm(for)h(some)f Fj(\015)5 b Fm(.)639 795 y Fg(Pr)n(oof.)34 b Fn(Since)1168 733 y Fd(P)1255 820 y Fk(i)p Fb(\025)p Fk(n)1390 795 y Fn(\001)p Fj(g)s Fn($)p Fj(i)p Fn($)23 b(=)f Fj(O)r Fn($)1802 733 y Fd(P)1891 820 y Fk(i)p Fb(\025)p Fk(n)2025 795 y Fj(\036)2074 765 y Fk(i)2103 795 y Fn($)h(=)g Fj(O)r Fn($)p Fj(\036)2392 765 y Fk(n)2438 795 y Fn($,)e(lim)2630 807 y Fk(n)p Fb(\000)p Fk(>)p Fb(1)2859 795 y Fj(g)s Fn($)p Fj(n)p Fn($)e(con)n(v)n(erges)515 895 y(to)35 b(some)h(v)-5 b(alue)35 b Fj(\015)5 b Fn(,)38 b(and)d(the)i(conclusion) d(follo)n(ws.)61 b(The)36 b(other)f(case)g(is)g(similar,)j(with)515 1009 y(con)n(v)n(ergence)25 b(implied)j(b)n(y)1384 947 y Fd(P)1472 1034 y Fk(i)p Fb(\025)p Fk(n)1606 1009 y Fj(i\036)1684 979 y Fk(i)1735 1009 y Fn(=)1834 972 y Fk(n\036)1915 947 y Fs(n)p 1833 990 125 4 v 1833 1038 a Fh(1)p Fb(\000)p Fk(\036)1986 1009 y Fn(+)2108 972 y Fk(\036)2148 947 y Fs(n)p Fq(+1)p 2079 990 210 4 v 2079 1038 a Fh($1)p Fb(\000)p Fk(\036)p Fh($)2256 1021 y Fq(2)2321 1009 y Fn(=)23 b Fj(O)r Fn($)p Fj(n\036)2605 979 y Fk(n)2651 1009 y Fn($.)631 b Fi(\017)515 1232 y Fg(Lemma)31 b(14)41 b Fm(L)l(et)30 b Fj(x)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b(=)g Fj(u)p Fn($)p Fj(m)p Fn($)18 b(+)g Fj(nv)s Fn($)p Fj(m)p Fn($)h(+)f Fj(w)r Fn($)p Fj(m;)c(n)p Fn($)31 b Fm(b)l(e)f(symmetric.)39 b(Then)603 1405 y Fn(\001)672 1370 y Fh(2)709 1405 y Fj(v)s Fn($)p Fj(n)p Fn($)24 b(=)f Fj(v)s Fn($)p Fj(n)c Fn(+)f(2$)g Fi(\000)g Fn(2)p Fj(v)s Fn($)p Fj(n)g Fn(+)g(1$)g(+)g Fj(v)s Fn($)p Fj(n)p Fn($)24 b(=)f Fj(w)r Fn($)p Fj(n)c Fn(+)f(1)p Fj(;)c(n)k Fn(+)g(2$)g Fi(\000)g Fj(w)r Fn($)p Fj(n)h Fn(+)f(2)p Fj(;)c(n)k Fn(+)g(1$)951 1577 y(+)p Fj(w)r Fn($)p Fj(n;)c(n)k Fn(+)g(1$)h Fi(\000)f Fj(w)r Fn($)p Fj(n)h Fn(+)f(1)p Fj(;)c(n)p Fn($)k Fi(\000)g Fj(w)r Fn($)p Fj(n;)c(n)19 b Fn(+)f(2$)g(+)g Fj(w)r Fn($)p Fj(n)h Fn(+)f(2)p Fj(;)c(n)p Fn($)515 1721 y Fm(and)791 1893 y Fn(\001)p Fj(u)p Fn($)p Fj(n)p Fn($)24 b(=)e Fi(\000)p Fj(nv)s Fn($)p Fj(n)c Fn(+)g(1$)h(+)f($)p Fj(n)g Fn(+)g(1$)p Fj(v)s Fn($)p Fj(n)p Fn($)h Fi(\000)f Fj(w)r Fn($)p Fj(n)h Fn(+)f(1)p Fj(;)c(n)p Fn($)k(+)g Fj(w)r Fn($)p Fj(n;)c(n)19 b Fn(+)f(1$)p Fj(:)639 2066 y Fg(Pr)n(oof.)567 2217 y Fn(0)23 b(=)g Fj(x)p Fn($)p Fj(n)c Fn(+)f(2)p Fj(;)c(n)j Fn(+)h(1$)h Fi(\000)f Fj(x)p Fn($)p Fj(n)h Fn(+)f(1)p Fj(;)c(n)j Fn(+)h(2$)692 2342 y(+)g Fj(x)p Fn($)p Fj(n)h Fn(+)f(1)p Fj(;)c(n)p Fn($)k Fi(\000)g Fj(x)p Fn($)p Fj(n;)c(n)19 b Fn(+)f(1$)g(+)g Fj(x)p Fn($)p Fj(n;)c(n)19 b Fn(+)f(2$)g Fi(\000)g Fj(x)p Fn($)p Fj(n)h Fn(+)f(2)p Fj(;)c(n)p Fn($)632 2466 y(=)23 b Fj(u)p Fn($)p Fj(n)18 b Fn(+)g(2$)g(+)g($)p Fj(n)h Fn(+)f(1$)p Fj(v)s Fn($)p Fj(n)g Fn(+)g(2$)h(+)f Fj(w)r Fn($)p Fj(n)h Fn(+)f(2)p Fj(;)c(n)j Fn(+)i(1$)692 2591 y Fi(\000)f Fj(u)p Fn($)p Fj(n)g Fn(+)g(1$)g Fi(\000)g Fn($)p Fj(n)h Fn(+)f(2$)p Fj(v)s Fn($)p Fj(n)h Fn(+)f(1$)g Fi(\000)g Fj(w)r Fn($)p Fj(n)h Fn(+)f(1)p Fj(;)c(n)k Fn(+)g(2$)692 2715 y(+)g Fj(u)p Fn($)p Fj(n)g Fn(+)g(1$)g(+)g Fj(nv)s Fn($)p Fj(n)h Fn(+)f(1$)g(+)g Fj(w)r Fn($)p Fj(n)i Fn(+)e(1)p Fj(;)c(n)p Fn($)k Fi(\000)g Fj(u)p Fn($)p Fj(n)p Fn($)g Fi(\000)g Fn($)p Fj(n)h Fn(+)f(1$)p Fj(v)s Fn($)p Fj(n)p Fn($)g Fi(\000)g Fj(w)r Fn($)p Fj(n;)c(n)19 b Fn(+)f(1$)692 2840 y(+)g Fj(u)p Fn($)p Fj(n)p Fn($)g(+)g($)p Fj(n)h Fn(+)f(2$)p Fj(v)s Fn($)p Fj(n)p Fn($)h(+)f Fj(w)r Fn($)p Fj(n;)c(n)19 b Fn(+)f(2$)g Fi(\000)g Fj(u)p Fn($)p Fj(n)g Fn(+)g(2$)h Fi(\000)f Fj(nv)s Fn($)p Fj(n)g Fn(+)g(2$)g Fi(\000)g Fj(w)r Fn($)p Fj(n)i Fn(+)e(2)p Fj(;)c(n)p Fn($)632 2965 y(=)23 b Fj(v)s Fn($)p Fj(n)18 b Fn(+)g(2$)h Fi(\000)f Fn(2)p Fj(v)s Fn($)p Fj(n)g Fn(+)g(1$)g(+)g Fj(v)s Fn($)p Fj(n)p Fn($)h Fi(\000)f Fj(w)r Fn($)p Fj(n)i Fn(+)e(1)p Fj(;)c(n)j Fn(+)h(2$)h(+)f Fj(w)r Fn($)p Fj(n)h Fn(+)f(2)p Fj(;)c(n)k Fn(+)g(1$)692 3089 y Fi(\000)g Fj(w)r Fn($)p Fj(n;)c(n)19 b Fn(+)f(1$)g(+)g Fj(w)r Fn($)p Fj(n)i Fn(+)e(1)p Fj(;)c(n)p Fn($)k(+)g Fj(w)r Fn($)p Fj(n;)c(n)19 b Fn(+)f(2$)g Fi(\000)g Fj(w)r Fn($)p Fj(n)h Fn(+)f(2)p Fj(;)c(n)p Fn($)p Fj(;)584 3270 y Fn(0)22 b(=)h Fj(x)p Fn($)p Fj(n)c Fn(+)f(1)p Fj(;)c(n)p Fn($)k Fi(\000)g Fj(x)p Fn($)p Fj(n;)c(n)19 b Fn(+)f(1$)648 3395 y(=)23 b Fj(u)p Fn($)p Fj(n)18 b Fn(+)g(1$)g(+)g Fj(nv)s Fn($)p Fj(n)h Fn(+)f(1$)g(+)g Fj(w)r Fn($)p Fj(n)h Fn(+)f(1)p Fj(;)c(n)p Fn($)k Fi(\000)g Fj(u)p Fn($)p Fj(n)p Fn($)h Fi(\000)f Fn($)p Fj(n)g Fn(+)g(1$)p Fj(v)s Fn($)p Fj(n)p Fn($)h Fi(\000)f Fj(w)r Fn($)p Fj(n;)c(n)19 b Fn(+)f(1$)p Fj(:)3337 3514 y Fi(\017)515 3722 y Fg(Lemma)31 b(15)41 b Fm(If)26 b(additional)t(ly)i(al)t(l)e Fj(w)r Fn()g Fm(terms)e(in)h(the)g(ab)l(ove)h(ar)l(e)f Fj(O)r Fn($)p Fj(\036)2713 3692 y Fk(n)2760 3722 y Fn($)g Fm(for)h(some)f Fj(\036)e(<)g Fn(1)p Fm(,)515 3822 y(then)29 b(ther)l(e)h(exist)g Fj(\013)p Fm(,)g Fj(\014)k Fm(and)c Fj(\025)h Fm(such)e(that)1444 3989 y Fj(v)s Fn($)p Fj(m)p Fn($)23 b(=)g Fj(\014)g Fn(+)18 b Fj(\025m)h Fn(+)f Fj(O)r Fn($)p Fj(\036)2257 3955 y Fk(m)2321 3989 y Fn($)p Fj(;)1439 4113 y(u)p Fn($)p Fj(m)p Fn($)23 b(=)g Fj(\013)c Fn(+)f Fj(\014)t(m)h Fn(+)f Fj(O)r Fn($)p Fj(m\036)2335 4079 y Fk(m)2399 4113 y Fn($)p Fj(:)639 4292 y Fg(Pr)n(oof.)63 b Fn(Lemma)36 b(14)f(together)h(with)h(the)g(assumption)f(giv)n(e)f (\001)2796 4262 y Fh(2)2833 4292 y Fj(v)s Fn($)p Fj(n)p Fn($)k(=)e Fj(O)r Fn($)p Fj(\036)3277 4262 y Fk(n)3324 4292 y Fn($.)515 4392 y(Applying)j(Lemma)h(13)e(once)i(to)f Fj(g)s Fn($)p Fj(n)p Fn($)45 b(=)f(\001)p Fj(v)s Fn($)p Fj(n)p Fn($)d(giv)n(es)f(\001)p Fj(v)s Fn($)p Fj(n)p Fn($)45 b(=)g Fj(\025)27 b Fn(+)g Fj(O)r Fn($)p Fj(\036)3126 4362 y Fk(n)3172 4392 y Fn($)41 b(and)515 4492 y(applying)27 b(it)h(again)e(to)i Fj(g)s Fn($)p Fj(n)p Fn($)23 b(=)f Fj(v)s Fn($)p Fj(n)p Fn($)d Fi(\000)f Fj(\025n)28 b Fn(giv)n(es)f Fj(v)s Fn($)p Fj(n)p Fn($)c(=)g Fj(\014)g Fn(+)18 b Fj(\025n)h Fn(+)f Fj(O)r Fn($)p Fj(\036)2883 4461 y Fk(n)2929 4492 y Fn($.)639 4591 y(Lemma)28 b(14)e(also)h(giv)n (es)588 4758 y(\001)p Fj(u)p Fn($)p Fj(n)p Fn($)d(=)e Fi(\000)p Fj(nv)s Fn($)p Fj(n)c Fn(+)g(1$)h(+)f($)p Fj(n)g Fn(+)g(1$)p Fj(v)s Fn($)p Fj(n)p Fn($)h Fi(\000)f Fj(w)r Fn($)p Fj(n)h Fn(+)f(1)p Fj(;)c(n)p Fn($)k(+)g Fj(w)r Fn($)p Fj(n;)c(n)19 b Fn(+)f(1$)843 4893 y(=)k Fi(\000)p Fj(n)p Fn($)p Fj(\014)h Fn(+)18 b Fj(\025)p Fn(\()p Fj(n)h Fn(+)f(1$)g(+)g Fj(O)r Fn($)p Fj(\036)1783 4859 y Fk(n)p Fh(+1)1914 4893 y Fn($\))h(+)f($)p Fj(n)g Fn(+)g(1$$)p Fj(\014)23 b Fn(+)18 b Fj(\025n)h Fn(+)f Fj(O)r Fn(\()p Fj(\036)2868 4859 y Fk(n)2914 4893 y Fn($\))h(+)f Fj(O)r Fn($)p Fj(\036)3226 4859 y Fk(n)3273 4893 y Fn($)843 5018 y(=)k Fj(\014)h Fn(+)18 b Fj(O)r Fn($)p Fj(n\036)1279 4984 y Fk(n)1325 5018 y Fn($)p Fj(:)1905 5255 y Fn(25)p eop end %%Page: 26 26 TeXDict begin 26 25 bop 766 2306 a @beginspecial 73 @llx 213 @lly 549 @urx 589 @ury 2834 @rwi @setspecial %%BeginDocument: logrdiag.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: logrdiag.eps %%CreationDate: 12/07/2005 09:12:08 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 73 213 549 589 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 73 213 549 589 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 661 274 5721 4514 MR c np 128 dict begin %Colortable dictionary /c0 { 0.000000 0.000000 0.000000 sr} bdef /c1 { 1.000000 1.000000 1.000000 sr} bdef /c2 { 0.900000 0.000000 0.000000 sr} bdef /c3 { 0.000000 0.820000 0.000000 sr} bdef /c4 { 0.000000 0.000000 0.800000 sr} bdef /c5 { 0.910000 0.820000 0.320000 sr} bdef /c6 { 1.000000 0.260000 0.820000 sr} bdef /c7 { 0.000000 0.820000 0.820000 sr} bdef c0 1 j 1 sg 0 0 6918 5186 PR 6 w 0 4226 5361 0 0 -4226 899 4615 4 MP PP -5361 0 0 4226 5361 0 0 -4226 899 4615 5 MP stroke 4 w DO 0 sg 899 4615 mt 899 389 L 899 389 mt 899 389 L 1345 4615 mt 1345 389 L 1345 389 mt 1345 389 L 1792 4615 mt 1792 389 L 1792 389 mt 1792 389 L 2239 4615 mt 2239 389 L 2239 389 mt 2239 389 L 2686 4615 mt 2686 389 L 2686 389 mt 2686 389 L 3132 4615 mt 3132 389 L 3132 389 mt 3132 389 L 3579 4615 mt 3579 389 L 3579 389 mt 3579 389 L 4026 4615 mt 4026 389 L 4026 389 mt 4026 389 L 4473 4615 mt 4473 389 L 4473 389 mt 4473 389 L 4919 4615 mt 4919 389 L 4919 389 mt 4919 389 L 5366 4615 mt 5366 389 L 5366 389 mt 5366 389 L 5813 4615 mt 5813 389 L 5813 389 mt 5813 389 L 6260 4615 mt 6260 389 L 6260 389 mt 6260 389 L 899 4386 mt 6260 4386 L 6260 4386 mt 6260 4386 L 899 3815 mt 6260 3815 L 6260 3815 mt 6260 3815 L 899 3244 mt 6260 3244 L 6260 3244 mt 6260 3244 L 899 2673 mt 6260 2673 L 6260 2673 mt 6260 2673 L 899 2102 mt 6260 2102 L 6260 2102 mt 6260 2102 L 899 1531 mt 6260 1531 L 6260 1531 mt 6260 1531 L 899 960 mt 6260 960 L 6260 960 mt 6260 960 L 899 389 mt 6260 389 L 6260 389 mt 6260 389 L SO 6 w 899 4615 mt 6260 4615 L 899 4615 mt 899 389 L 899 4615 mt 899 4561 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 4760 mt (1) s 1345 4615 mt 1345 4561 L 1312 4760 mt (2) s 1792 4615 mt 1792 4561 L 1759 4760 mt (3) s 2239 4615 mt 2239 4561 L 2206 4760 mt (4) s 2686 4615 mt 2686 4561 L 2653 4760 mt (5) s 3132 4615 mt 3132 4561 L 3099 4760 mt (6) s 3579 4615 mt 3579 4561 L 3546 4760 mt (7) s 4026 4615 mt 4026 4561 L 3993 4760 mt (8) s 4473 4615 mt 4473 4561 L 4440 4760 mt (9) s 4919 4615 mt 4919 4561 L 4853 4760 mt (10) s 5366 4615 mt 5366 4561 L 5300 4760 mt (11) s 5813 4615 mt 5813 4561 L 5747 4760 mt (12) s 6260 4615 mt 6260 4561 L 6194 4760 mt (13) s 899 4386 mt 952 4386 L 661 4430 mt (-35) s 899 3815 mt 952 3815 L 661 3859 mt (-30) s 899 3244 mt 952 3244 L 661 3288 mt (-25) s 899 2673 mt 952 2673 L 661 2717 mt (-20) s 899 2102 mt 952 2102 L 661 2146 mt (-15) s 899 1531 mt 952 1531 L 661 1575 mt (-10) s 899 960 mt 952 960 L 728 1004 mt (-5) s 899 389 mt 952 389 L 798 433 mt (0) s gs 899 389 5362 4227 MR c np /c8 { 1.000000 0.000000 1.000000 sr} bdef c8 446 280 447 86 447 460 447 201 446 256 447 335 447 144 447 297 446 262 899 522 10 MP stroke /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 447 344 446 280 447 86 447 460 447 200 446 257 447 333 447 139 447 289 446 258 899 541 11 MP stroke 0 sg 447 155 447 344 446 280 447 87 447 459 447 200 446 257 447 331 447 137 447 226 446 333 899 533 12 MP stroke /c10 { 0.000000 0.000000 1.000000 sr} bdef c10 447 453 447 155 447 344 446 280 447 87 447 459 447 199 446 256 447 327 447 190 447 113 446 495 899 437 13 MP stroke /c11 { 0.000000 1.000000 1.000000 sr} bdef c11 447 86 447 453 447 155 446 344 447 280 447 87 447 459 446 199 447 244 447 343 447 354 446 172 899 705 13 MP stroke /c12 { 0.000000 1.000000 0.000000 sr} bdef c12 447 293 447 86 447 453 446 155 447 344 447 280 447 87 446 458 447 206 447 131 447 598 446 232 899 851 13 MP stroke /c13 { 1.000000 1.000000 0.000000 sr} bdef c13 447 289 447 293 447 86 446 453 447 155 447 344 447 280 446 81 447 462 447 300 447 301 446 408 899 1011 13 MP stroke gr c13 gs 826 449 4167 2468 MR c np c8 36 36 899 522 FO 36 36 1345 784 FO 36 36 1792 1081 FO 36 36 2239 1225 FO 36 36 2686 1560 FO 36 36 3132 1816 FO 36 36 3579 2017 FO 36 36 4026 2477 FO 36 36 4473 2563 FO 36 36 4919 2843 FO gr c8 gs 899 389 5362 4227 MR c np gr gs 826 468 4614 2793 MR c np c9 36 36 899 541 FO 36 36 1345 799 FO 36 36 1792 1088 FO 36 36 2239 1227 FO 36 36 2686 1560 FO 36 36 3132 1817 FO 36 36 3579 2017 FO 36 36 4026 2477 FO 36 36 4473 2563 FO 36 36 4919 2843 FO 36 36 5366 3187 FO gr c9 gs 899 389 5362 4227 MR c np gr gs 826 460 5061 2956 MR c np 0 sg 36 36 899 533 FO 36 36 1345 866 FO 36 36 1792 1092 FO 36 36 2239 1229 FO 36 36 2686 1560 FO 36 36 3132 1817 FO 36 36 3579 2017 FO 36 36 4026 2476 FO 36 36 4473 2563 FO 36 36 4919 2843 FO 36 36 5366 3187 FO 36 36 5813 3342 FO gr 0 sg gs 899 389 5362 4227 MR c np gr gs 826 364 5508 3505 MR c np c10 36 36 899 437 FO 36 36 1345 932 FO 36 36 1792 1045 FO 36 36 2239 1235 FO 36 36 2686 1562 FO 36 36 3132 1818 FO 36 36 3579 2017 FO 36 36 4026 2476 FO 36 36 4473 2563 FO 36 36 4919 2843 FO 36 36 5366 3187 FO 36 36 5813 3342 FO 36 36 6260 3795 FO gr c10 gs 899 389 5362 4227 MR c np gr gs 826 632 5508 3323 MR c np c11 36 36 899 705 FO 36 36 1345 877 FO 36 36 1792 1231 FO 36 36 2239 1574 FO 36 36 2686 1818 FO 36 36 3132 2017 FO 36 36 3579 2476 FO 36 36 4026 2563 FO 36 36 4473 2843 FO 36 36 4919 3187 FO 36 36 5366 3342 FO 36 36 5813 3795 FO 36 36 6260 3881 FO gr c11 gs 899 389 5362 4227 MR c np gr gs 826 778 5508 3470 MR c np c12 36 36 899 851 FO 36 36 1345 1083 FO 36 36 1792 1681 FO 36 36 2239 1812 FO 36 36 2686 2018 FO 36 36 3132 2476 FO 36 36 3579 2563 FO 36 36 4026 2843 FO 36 36 4473 3187 FO 36 36 4919 3342 FO 36 36 5366 3795 FO 36 36 5813 3881 FO 36 36 6260 4174 FO gr c12 gs 899 389 5362 4227 MR c np gr gs 826 938 5508 3599 MR c np c13 36 36 899 1011 FO 36 36 1345 1419 FO 36 36 1792 1720 FO 36 36 2239 2020 FO 36 36 2686 2482 FO 36 36 3132 2563 FO 36 36 3579 2843 FO 36 36 4026 3187 FO 36 36 4473 3342 FO 36 36 4919 3795 FO 36 36 5366 3881 FO 36 36 5813 4174 FO 36 36 6260 4463 FO gr c13 gs 899 389 5362 4227 MR c np gr 1 sg 0 1035 741 0 0 -1035 5402 1510 4 MP PP -741 0 0 1035 741 0 0 -1035 5402 1510 5 MP stroke 4 w DO SO 6 w 0 sg 5402 1510 mt 6143 1510 L 5402 475 mt 6143 475 L 5402 1510 mt 5402 475 L 6143 1510 mt 6143 475 L 5402 1510 mt 6143 1510 L 5402 1510 mt 5402 475 L 5402 1510 mt 6143 1510 L 5402 475 mt 6143 475 L 5402 1510 mt 5402 475 L 6143 1510 mt 6143 475 L 5854 605 mt (d=-3) s gs 5402 475 742 1036 MR c np c8 347 0 5471 563 2 MP stroke gr c8 0 sg 5854 749 mt (d=-2) s gs 5402 475 742 1036 MR c np c9 347 0 5471 706 2 MP stroke gr c9 0 sg 5854 892 mt (d=-1) s gs 5402 475 742 1036 MR c np 347 0 5471 849 2 MP stroke gr 5854 1035 mt (d= 0) s gs 5402 475 742 1036 MR c np c10 347 0 5471 992 2 MP stroke gr c10 0 sg 5854 1178 mt (d= 1) s gs 5402 475 742 1036 MR c np c11 347 0 5471 1135 2 MP stroke gr c11 0 sg 5854 1321 mt (d= 2) s gs 5402 475 742 1036 MR c np c12 347 0 5471 1278 2 MP stroke gr c12 0 sg 5854 1465 mt (d= 3) s gs 5402 475 742 1036 MR c np c13 347 0 5471 1421 2 MP stroke gr c13 end %%Color Dict eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1270 2572 a Fn(Figure)27 b(12:)36 b(ln$1)18 b(+)g Fj(r)r Fn(\()p Fj(n;)c(n)p Fn($\))29 b(and)e(friends)639 2841 y(A)e(third)f(application)g(of)g(Lemma)g(13)f(to)h Fj(g)s Fn($)p Fj(n)p Fn($)f(=)g Fj(u)p Fn($)p Fj(n)p Fn($)12 b Fi(\000)g Fj(\014)t(n)23 b Fn(giv)n(es)g Fj(u)p Fn($)p Fj(n)p Fn($)g(=)f Fj(\013)12 b Fn(+)g Fj(\014)t(n)g Fn(+)515 2941 y Fj(O)r Fn($)p Fj(n\036)711 2911 y Fk(n)757 2941 y Fn($.)2525 b Fi(\017)515 3159 y Fg(Cor)n(ollar)-6 b(y)31 b(5)41 b Fm(Under)30 b(the)g(assumptions)g(ab)l(ove,)h(for)g Fj(n)22 b Fn(=)h(\002$)p Fj(m)p Fn($)p Fm(,)1152 3342 y Fj(x)p Fn($)p Fj(m;)14 b(n)p Fn($)24 b(=)e Fj(\013)d Fn(+)f Fj(\014)t Fn($)p Fj(m)h Fn(+)f Fj(n)p Fn($)h(+)f Fj(\025mn)g Fn(+)g Fj(O)r Fn($)p Fj(m\036)2622 3308 y Fk(m)2687 3342 y Fn($)p Fj(:)639 3525 y Fn(T)-7 b(aking)34 b(natural)g(logarithms)f(of)h(the)h(expression)e(for)h Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)35 b(in)g(Theorem)e(2)h(w)n(e)515 3624 y(ha)n(v)n(e)1026 3724 y(ln$)p Fj(L)p Fn(\()p Fj(m;)14 b(n)p Fn($\))24 b(=)e(ln$)p Fj(a)1696 3736 y Fk(m)1760 3724 y Fn($)c(+)g Fj(n)c Fn(ln$)p Fj(\025)2106 3736 y Fk(m)2170 3724 y Fn($)19 b(+)f(ln$1)g(+)g Fj(r)r Fn(\()p Fj(m;)c(n)p Fn($\))p Fj(;)515 3873 y Fn(whic)n(h)38 b(is)h(in)g(the)g(exp)r(ected)g(form)f(with)h Fj(x)p Fn($)p Fj(m;)14 b(n)p Fn($)43 b(=)e(ln$)p Fj(L)p Fn(\()p Fj(m;)14 b(n)p Fn($\),)42 b Fj(u)p Fn($)p Fj(m)p Fn($)f(=)g(ln$)p Fj(a)3260 3885 y Fk(m)3324 3873 y Fn($,)515 3973 y Fj(v)s Fn($)p Fj(m)p Fn($)23 b(=)g(ln$)p Fj(\025)955 3985 y Fk(m)1019 3973 y Fn($,)k(and)g Fj(w)r Fn($)p Fj(m;)14 b(n)p Fn($)24 b(=)f(ln$1)16 b(+)g Fj(r)r Fn(\()p Fj(m;)e(n)p Fn($\).)38 b(The)27 b(question)g(is)f(whether)h(ln$1)16 b(+)515 4073 y Fj(r)r Fn(\()p Fj(m;)e(n)p Fn($\))29 b(satis\014es)d(the)i(conditions)g(on)f Fj(w)r Fn()i(in)f(the)g (lemmas.)639 4172 y(Although)22 b(one)f(can)h(sho)n(w)f(that)h(for)f (\014xed)h Fj(m)p Fn(,)h(ln$)p Fj(L)p Fn(\()p Fj(m;)14 b(n)p Fn($\))7 b Fi(\000)g Fj(\013)g Fi(\000)g Fj(\014)t Fn($)p Fj(m)g Fn(+)g Fj(n)p Fn($)g Fi(\000)g Fj(\025mn)20 b Fn(=)515 4272 y(\012$)p Fj(n)p Fn($,)28 b(w)n(e)f(do)g(exp)r(ect)h (this)g(quan)n(tit)n(y)f(to)h(v)-5 b(anish)27 b(for)g(prop)r(ortional)f Fj(n)p Fn(:)515 4455 y Fg(Conjecture)32 b(1)41 b Fj(r)r Fn($)p Fj(m;)14 b(n)p Fn($)24 b(=)f Fj(O)r Fn($)p Fj(\036)1650 4424 y Fk(m)1714 4455 y Fn($)30 b Fm(for)h(some)f Fj(\036)24 b(<)e Fn(1)30 b Fm(and)g Fj(n)23 b Fn(=)f(\002$)p Fj(m)p Fn($)p Fm(.)639 4637 y Fn($This)31 b(should)g(b)r(e)g(read)f (as:)42 b(for)30 b(an)n(y)g(constan)n(t)g Fj(c)e Fi(\025)g Fn(1,)j(there)g(exists)f(a)h Fj(\036)d(<)g Fn(1)i(suc)n(h)515 4737 y(that)23 b Fj(r)r Fn(\()p Fj(m;)14 b(n)p Fn($)24 b(=)f Fj(O)r Fn($)p Fj(\036)1211 4707 y Fk(m)1275 4737 y Fn($)g(for)g(all)f Fj(m=c)h Fi(\024)f Fj(n)h Fi(\024)g Fj(cm)p Fn(.\))36 b(This)22 b(assumption)h(su\016ces)g(to)f(apply)515 4837 y(Corollary)j(5)i(to)h(ln)14 b Fj(L)p Fn($)p Fj(m;)g Fn(\002\()p Fj(m)p Fn($\),)27 b(whic)n(h,)h(after)f(exp)r(onen)n (tiation,)g(giv)n(es)1905 5255 y(26)p eop end %%Page: 27 27 TeXDict begin 27 26 bop 515 523 a Fg(Theorem)32 b(6)41 b Fm(Conje)l(ctur)l(e)30 b(1)g(implies)1253 706 y Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b(=)g Fj(A)28 b(B)1802 671 y Fk(m)p Fh(+)p Fk(n)1957 706 y Fj(L)2014 671 y Fk(mn)2117 706 y Fn($1)19 b(+)f Fj(O)r Fn(\()p Fj(m\036)2512 671 y Fk(m)2576 706 y Fn($\))515 888 y Fm(for)30 b(some)h(c)l(onstants)d Fj(A)p Fm(,)j Fj(B)t Fm(,)f Fj(\036)24 b(<)e Fn(1)p Fm(,)30 b(and)g Fj(n)23 b Fn(=)g(\002$)p Fj(m)p Fn($)p Fm(.)639 1071 y Fn(The)37 b(constan)n(ts)g Fj(A)p Fn(,)j Fj(B)t Fn(,)f(and)e Fj(L)g Fn(can)g(all)g(b)r(e)g(computed)h(as)e(limits)i(of) f(expressions)515 1171 y(in)n(v)n(olving)26 b(legal)h(coun)n(ts)g(of)g (square)g(and)g(almost-square)e(b)r(oards.)515 1353 y Fg(Cor)n(ollar)-6 b(y)31 b(6)g($contingent)h(on)f(Conjecture)h(1$) 1143 1584 y Fj(L)23 b Fn(=)51 b(lim)1310 1634 y Fk(n)p Fb(!1)1507 1528 y Fj(L)p Fn($)p Fj(n;)14 b(n)p Fn($)p Fj(L)p Fn($)p Fj(n)k Fn(+)g(1)p Fj(;)c(n)k Fn(+)g(1$)p 1507 1565 802 4 v 1689 1641 a Fj(L)p Fn($)p Fj(n;)c(n)k Fn(+)g(1$)2090 1617 y Fh(2)2319 1584 y Fj(;)1132 1813 y(B)28 b Fn(=)51 b(lim)1310 1863 y Fk(n)p Fb(!1)1507 1757 y Fj(L)p Fn($)p Fj(n;)14 b(n)k Fn(+)g(1$)p 1507 1794 401 4 v 1528 1870 a Fj(L)p Fn($)p Fj(n;)c(n)p Fn($)p Fj(L)1843 1846 y Fk(n)1941 1813 y Fn(=)52 b(lim)2029 1863 y Fk(n)p Fb(!1)2348 1757 y Fj(L)p Fn($)p Fj(n;)14 b(n)p Fn($)p 2226 1794 503 4 v 2226 1870 a Fj(L)p Fn($)p Fj(n;)g(n)k Fi(\000)g Fn(1$)p Fj(L)2684 1846 y Fk(n)2738 1813 y Fj(;)1137 2042 y(A)24 b Fn(=)51 b(lim)1310 2092 y Fk(n)p Fb(!1)1518 1986 y Fj(L)p Fn($)p Fj(n;)14 b(n)p Fn($)p 1507 2023 280 4 v 1507 2101 a Fj(B)1574 2077 y Fh(2)p Fk(n)1653 2101 y Fj(L)1710 2077 y Fk(n)1751 2060 y Fq(2)1797 2042 y Fj(:)639 2275 y Fn(Of)19 b(course)e Fj(L)h Fn(could)g(also)f(b)r(e)i(appro)n(ximated)e(according)f(to)j (its)f(de\014nition)h(as)f Fj(L)p Fn($)p Fj(n;)c(n)p Fn($)3332 2245 y Fk(n)3373 2220 y Fp(\000)p Fq(2)515 2374 y Fn(but)25 b(the)g(ab)r(o)n(v)n(e)e(form)n(ula)h(o\013ers)f(m)n (uc)n(h)i(b)r(etter)g(con)n(v)n(ergence.)33 b(Using)24 b(the)h(almost-square)515 2474 y(legal)32 b(coun)n(ts)h(in)h(T)-7 b(able)33 b(4.11,)h(as)e(computed)i(b)n(y)f(our)g(algorithm,)h(our)e(b) r(est)i(estimates)515 2574 y(using)27 b Fj(L)p Fn($18)p Fj(;)14 b Fn(18$,)26 b Fj(L)p Fn($18)p Fj(;)14 b Fn(17$,)25 b(and)j Fj(L)p Fn($17)p Fj(;)14 b Fn(17$)26 b(are)1410 2756 y Fj(L)c Fi(\031)h Fn(2)p Fj(:)p Fn(9757341920433)o(57)o(24)o(93)o (8)p Fj(;)1399 2880 y(B)k Fi(\031)c Fn(0)p Fj(:)p Fn(9655350593383)o (73)o(87)o Fj(;)1404 3005 y(A)g Fi(\031)g Fn(0)p Fj(:)p Fn(8506399258457)o(14)o(53)o(8)p Fj(:)515 3193 y Fn(T)-7 b(able)27 b(6)g(sho)n(ws)g(the)h(rapid)f(con)n(v)n(ergence)e(of)i Fj(L)p Fn($)p Fj(n;)14 b(n)p Fn($)p Fj(L)p Fn($)p Fj(n)k Fn(+)g(1)p Fj(;)c(n)k Fn(+)g(1$)p Fj(=L)p Fn($)p Fj(n;)c(n)j Fn(+)h(1$)3208 3163 y Fh(2)3245 3193 y Fn(.)639 3293 y(Although)26 b(the)g(form)n(ula)f(for)g Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)26 b(is)g(only)f(asymptotic,)h(the)g(con)n (v)n(ergence)d(turns)515 3393 y(out)34 b(to)h(b)r(e)g(quite)f(fast.)58 b(Compared)34 b(to)g(the)h(exact)f(results)g(in)h(T)-7 b(able)34 b(4.7,)i(it)f(ac)n(hiev)n(es)515 3492 y(relativ)n(e)24 b(accuracy)h(0)p Fj(:)p Fn(99993)e(at)i Fj(n)e Fn(=)g(5,)j(0)p Fj(:)p Fn(99999999)21 b(at)26 b Fj(n)d Fn(=)g(9,)j(and)f(1)p Fj(:)p Fn(0000000000002)o(5)515 3592 y(at)f Fj(n)f Fn(=)f(13.)35 b(It)25 b(is)f(consisten)n(t)g(with)h(all)e(the)i(sim)n(ulated)f (results.)35 b(F)-7 b(or)24 b Fj(n)f Fn(=)g(99)g(it)i(giv)n(es)e(the) 515 3692 y(same)j(result)h(of)g(4)17 b Fi(\001)h Fn(10)1231 3661 y Fh(4638)1366 3692 y Fn(.)37 b(Accuracy)26 b(is)h(also)f (excellen)n(t)h(far)f(a)n(w)n(a)n(y)f(from)i(the)h(diagonal.)515 3791 y(E.g.,)k(at)f Fj(L)p Fn($7)p Fj(;)14 b Fn(268$,)31 b(the)h(relativ)n(e)f(accuracy)f(is)h(still)h(1.0000007,)e(witnessing)h (the)h(wide)515 3891 y(range)26 b(of)i(application)e(of)i(Theorem)f(6.) 639 3990 y(F)-7 b(or)25 b(19)13 b Fi(\002)h Fn(19,)25 b(the)h(form)n(ula)e(giv)n(es)g(2)p Fj(:)p Fn(08168199382)8 b Fi(\001)15 b Fn(10)2395 3960 y Fh(170)2497 3990 y Fn(,)26 b(of)f(whic)n(h)h(w)n(e)f(can)g(exp)r(ect)515 4090 y(all)i(digits)h(to) f(b)r(e)h(correct.)515 4365 y Fo(5)134 b(Comparison)46 b(with)g(other)f(games)515 4546 y Fn(In)30 b(Go,)f(the)h(question)g(of) f(what)h(constitutes)f(a)h(legal)e(p)r(osition)i(is)f(v)n(ery)g(easy)f (to)i(decide.)515 4646 y(Not)36 b(so)g(in)h(some)e(other)h(p)r(opular)g (games.)62 b(In)37 b(Chess)f(there)g(are)f(so)h(called)g(problems)515 4746 y(of)j Fm(r)l(etr)l(o)l(gr)l(ade)j(analysis)p Fn(,)i(whic)n(h)c (ask)f(ho)n(w)g(a)g(p)r(osition)h(could)f(ha)n(v)n(e)g(p)r(ossibly)g (arisen.)515 4845 y(An)n(y)n(one)27 b(ha)n(ving)g(tried)h(these)g (problems)f(can)g(appreciate)g(their)h(complexit)n(y)-7 b(.)37 b(But)29 b(ev)n(en)515 4945 y(in)i(as)g(simple)h(a)f(game)g(as)g (Connect-4,)g(the)h(problem)f(of)h(deciding)f(if)h(a)f(p)r(osition)g (could)1905 5255 y(27)p eop end %%Page: 28 28 TeXDict begin 28 27 bop 515 1207 2981 4 v 513 1306 4 100 v 598 1277 a Fj(n)p 696 1306 V 99 w(L)p Fn($)p Fj(n;)14 b(n)k Fn(+)g(1$)p 3494 1306 V 515 1310 2981 4 v 513 1409 4 100 v 606 1379 a(1)p 696 1409 V 99 w(5)p 3494 1409 V 513 1509 V 606 1479 a(2)p 696 1509 V 99 w(489)p 3494 1509 V 513 1609 V 606 1579 a(3)p 696 1609 V 99 w(321689)p 3494 1609 V 513 1708 V 606 1678 a(4)p 696 1708 V 99 w(1840058693)p 3494 1708 V 513 1808 V 606 1778 a(5)p 696 1808 V 99 w(93332304864173)p 3494 1808 V 513 1907 V 606 1878 a(6)p 696 1907 V 99 w(41945191530093)o (64)o(69)o(65)p 3494 1907 V 513 2007 V 606 1977 a(7)p 696 2007 V 99 w(16693129760966)o(79)o(12)o(72)o(78)o(98)o(52)o(1)p 3494 2007 V 513 2107 V 606 2077 a(8)p 696 2107 V 99 w(58827488664323)o (70)o(65)o(56)o(74)o(37)o(27)o(521)o(23)o(19)o(3)p 3494 2107 V 513 2206 V 606 2176 a(9)p 696 2206 V 99 w(18357386138998)o(45)o (42)o(11)o(40)o(26)o(23)o(648)o(53)o(64)o(47)o(06)o(89)o(11)o(09)p 3494 2206 V 513 2306 V 565 2276 a(10)p 696 2306 V 98 w(50725885886473)o(27)o(65)o(84)o(57)o(86)o(25)o(182)o(16)o(69)o(68)o (54)o(88)o(51)o(69)o(49)o(09)o(87)o(14)o(9)p 3494 2306 V 513 2406 V 565 2376 a(11)p 696 2406 V 98 w(12411855477430)o(71)o(29)o (69)o(47)o(83)o(55)o(689)o(08)o(46)o(96)o(68)o(15)o(00)o(98)o(79)o(09)o (28)o(63)o(57)o(96)o(79)o(25)o(93)o(93)p 3494 2406 V 513 2505 V 565 2475 a(12)p 696 2505 V 98 w(26892554058860)o(27)o(21)o (16)o(97)o(25)o(62)o(366)o(41)o(59)o(20)o(13)o(80)o(07)o(09)o(59)o(80)o (55)o(15)o(58)o(90)o(80)o(00)o(98)o(23)o(32)p 3494 2505 V 513 2605 V 696 2605 V 747 2575 a(405743333)p 3494 2605 V 513 2704 V 565 2675 a(13)p 696 2704 V 98 w(51595955665685)o(68)o(11)o (66)o(59)o(75)o(66)o(866)o(80)o(51)o(81)o(43)o(55)o(96)o(33)o(95)o(02)o (69)o(56)o(99)o(29)o(38)o(23)o(42)o(22)o(73)p 3494 2704 V 513 2804 V 696 2804 V 747 2774 a(65697047737341)o(52)o(00)o(37)o(3)p 3494 2804 V 513 2904 V 565 2874 a(14)p 696 2904 V 98 w(87657189470474)o(04)o(35)o(77)o(62)o(53)o(86)o(556)o(16)o(51)o(59)o (46)o(78)o(57)o(79)o(03)o(16)o(61)o(88)o(25)o(84)o(72)o(95)o(56)o(81)o (12)p 3494 2904 V 513 3003 V 696 3003 V 747 2973 a(52894958689536)o(13) o(35)o(94)o(54)o(40)o(30)o(191)o(45)o(87)o(7)p 3494 3003 V 513 3103 V 565 3073 a(15)p 696 3103 V 98 w(13187051224464)o(57)o(59)o (29)o(78)o(88)o(47)o(232)o(99)o(47)o(87)o(05)o(80)o(26)o(62)o(56)o(92)o (44)o(85)o(68)o(17)o(28)o(45)o(80)o(86)o(57)p 3494 3103 V 513 3203 V 696 3203 V 747 3173 a(86875389594729)o(21)o(55)o(08)o(47)o (03)o(57)o(338)o(90)o(18)o(26)o(62)o(51)o(31)o(80)o(74)o(35)o(13)p 3494 3203 V 513 3302 V 565 3272 a(16)p 696 3302 V 98 w(17566939874522)o(76)o(75)o(07)o(49)o(20)o(43)o(332)o(77)o(87)o(36)o (63)o(74)o(55)o(18)o(86)o(09)o(84)o(34)o(47)o(38)o(36)o(51)o(06)o(47)o (15)p 3494 3302 V 513 3402 V 696 3402 V 747 3372 a(94508210395633)o(78) o(37)o(45)o(69)o(81)o(12)o(402)o(52)o(76)o(37)o(76)o(40)o(67)o(12)o(98) o(83)o(79)o(27)o(86)o(44)o(25)o(04)o(56)o(67)o(7)p 3494 3402 V 513 3501 V 565 3472 a(17)p 696 3501 V 98 w(20722054276190)o(23)o (30)o(30)o(39)o(58)o(75)o(202)o(36)o(39)o(01)o(21)o(75)o(42)o(74)o(07)o (27)o(18)o(78)o(46)o(09)o(43)o(39)o(98)o(19)o(69)p 3494 3501 V 513 3601 V 696 3601 V 747 3571 a(33282608067036)o(31)o(44)o(03)o (46)o(52)o(02)o(963)o(70)o(02)o(97)o(34)o(11)o(52)o(21)o(62)o(86)o(75)o (05)o(76)o(59)o(36)o(27)o(45)o(93)o(92)p 3494 3601 V 513 3701 V 696 3701 V 747 3671 a(97939748796407)o(7)p 3494 3701 V 513 3800 V 565 3770 a(18)p 696 3800 V 98 w(21645008927907)o(82)o(75)o(31)o(43)o(95)o(45)o(348)o(04)o(68)o(42)o (44)o(69)o(69)o(48)o(73)o(57)o(64)o(69)o(89)o(37)o(09)o(51)o(77)o(50)o (56)p 3494 3800 V 513 3900 V 696 3900 V 747 3870 a(32614907511229)o(22) o(46)o(33)o(39)o(74)o(51)o(785)o(77)o(95)o(40)o(08)o(32)o(45)o(86)o(41) o(95)o(48)o(07)o(19)o(95)o(01)o(97)o(79)o(45)o(45)p 3494 3900 V 513 4000 V 696 4000 V 747 3970 a(84564790800309)o(66)o(09)o(50)o (83)o(15)o(80)o(481)o(39)o(3)p 3494 4000 V 515 4003 2981 4 v 1095 4235 a(T)-7 b(able)28 b(5:)36 b(Legal)27 b(coun)n(ts)g(of)g (almost)g(square)g(b)r(oards.)1905 5255 y(28)p eop end %%Page: 29 29 TeXDict begin 29 28 bop 1165 443 1563 4 v 1164 543 4 100 v 1248 513 a Fj(n)p 1346 543 V 100 w(L)p Fn($)p Fj(n;)14 b(n)p Fn($)p Fj(L)p Fn($)p Fj(n)k Fn(+)g(1)p Fj(;)c(n)j Fn(+)h(1$)p Fj(=L)p Fn($)p Fj(n;)c(n)j Fn(+)h(1$)2641 483 y Fh(2)p 2727 543 V 1165 546 1563 4 v 1164 646 4 100 v 1257 616 a Fn(1)p 1346 646 V 99 w(2.28)p 2727 646 V 1164 746 V 1257 716 a(2)p 1346 746 V 99 w(3.0)p 2727 746 V 1164 845 V 1257 815 a(3)p 1346 845 V 99 w(2.979)p 2727 845 V 1164 945 V 1257 915 a(4)p 1346 945 V 99 w(2.9756)p 2727 945 V 1164 1044 V 1257 1015 a(5)p 1346 1044 V 99 w(2.975732)p 2727 1044 V 1164 1144 V 1257 1114 a(6)p 1346 1144 V 99 w(2.9757343)p 2727 1144 V 1164 1244 V 1257 1214 a(7)p 1346 1244 V 99 w(2.9757341927)p 2727 1244 V 1164 1343 V 1257 1313 a(8)p 1346 1343 V 99 w(2.9757341918)p 2727 1343 V 1164 1443 V 1257 1413 a(9)p 1346 1443 V 99 w(2.975734192044)p 2727 1443 V 1164 1543 V 1215 1513 a(10)p 1346 1543 V 99 w(2.975734192044)p 2727 1543 V 1164 1642 V 1215 1612 a(11)p 1346 1642 V 99 w(2.9757341920433)o(50)p 2727 1642 V 1164 1742 V 1215 1712 a(12)p 1346 1742 V 99 w(2.9757341920433)o(55)p 2727 1742 V 1164 1841 V 1215 1812 a(13)p 1346 1841 V 99 w(2.9757341920433)o(57)o(27)p 2727 1841 V 1164 1941 V 1215 1911 a(14)p 1346 1941 V 99 w(2.9757341920433)o(57)o(25)o(5)p 2727 1941 V 1164 2041 V 1215 2011 a(15)p 1346 2041 V 99 w(2.9757341920433)o(57)o(24)o (93)o(2)p 2727 2041 V 1164 2140 V 1215 2110 a(16)p 1346 2140 V 99 w(2.9757341920433)o(57)o(24)o(93)o(62)p 2727 2140 V 1164 2240 V 1215 2210 a(17)p 1346 2240 V 99 w(2.9757341920433)o (57)o(24)o(93)o(81)o(1)p 2727 2240 V 1165 2243 1563 4 v 1081 2475 a(T)-7 b(able)27 b(6:)37 b(Con)n(v)n(ergence)25 b(to)i(the)h(base)f(of)h(lib)r(erties)f Fj(L)p Fn(.)515 2740 y(ha)n(v)n(e)g(legally)h(arisen,)h(can)f(b)r(e)h(sho)n(wn)g(to)f (b)r(e)i(NP-hard)d([12].)41 b(In)29 b(suc)n(h)f(cases)g(w)n(e)h(cannot) 515 2840 y(hop)r(e)e(to)h(\014nd)g(exact)f(coun)n(ts)g(and)g(need)h(to) g(settle)g(for)f(upp)r(er)g(b)r(ounds.)639 2940 y(F)-7 b(or)27 b(Chess,)g(a)g(straigh)n(tforw)n(ard)d(Hu\013man)k(enco)r(ding) f($ignoring)f(history)g(attributes)515 3039 y(suc)n(h)36 b(as)h(castling)f(righ)n(ts$)g(giv)n(es)g(an)g(upp)r(erb)r(ound)i(of)f (2)2371 3009 y Fh(32)p Fb(\001)p Fh(1+2$8)p Fb(\001)p Fh(3+6)p Fb(\001)p Fh(5+2)p Fb(\001)p Fh(6$)3028 3039 y Fn(=)h(2)3173 3009 y Fh(164)3314 3039 y Fi(\030)515 3139 y Fn(2)p Fj(:)p Fn(3)p Fi(\001)p Fn(10)729 3109 y Fh(49)816 3139 y Fn(p)r(ositions,)20 b(while)f(a)f(more)g(re\014ned)g (coun)n(ting)g(metho)r(d)h([4)o(])g(giv)n(es)e(an)i(upp)r(erb)r(ound) 515 3239 y(of)27 b(4)p Fj(:)p Fn(5)18 b Fi(\001)g Fn(10)859 3208 y Fh(46)929 3239 y Fn(,)27 b(less)h(than)f(half)h(of)g Fj(L)p Fn($10)p Fj(;)14 b Fn(10$.)639 3338 y(F)-7 b(or)27 b(Connect-4)g(pla)n(y)n(ed)g(on)g(a)h(b)r(oard)f(with)h Fj(n)g Fn(columns)f(of)h(heigh)n(t)f Fj(m)p Fn(,)h(eac)n(h)f(column)515 3438 y(can)h(b)r(e)h(enco)r(ded)g(in)g Fj(m)19 b Fn(+)g(1)28 b(bits,)i(giving)e(an)g(upp)r(erb)r(ound)i(of)e(2)2604 3408 y Fk(n)p Fh($)p Fk(m)p Fh(+1$)2873 3438 y Fn(p)r(ositions.)40 b(F)-7 b(or)515 3537 y(the)37 b(standard)e(b)r(oard)h(size)g(of)h(7x6,) g(Edelk)-5 b(amp)36 b(and)h(Kissmann)e(obtained)i(the)g(exact)515 3637 y(coun)n(t)27 b(of)h(4531985219092)21 b([15)o(],)28 b(ab)r(out)f(11)g(times)h Fj(L)p Fn($5)p Fj(;)14 b Fn(5$.)639 3737 y(Gomoku,)33 b(also)f(kno)n(wn)f(as)h(Go-bang,)g(is)h(more)e (closely)h(related)g(to)g(Go.)51 b(The)32 b(goal)515 3836 y(in)c(Gomoku)f(is)g(to)h(obtain)f(5)h(consecutiv)n(e)e(stones)h (of)h(one's)f(color)f(along)h(an)g(orthogonal)515 3936 y(or)34 b(diagonal)g(line.)60 b(W)-7 b(e)35 b(could)g(th)n(us)h (de\014ne)f(a)g(legal)f(p)r(osition)h(as)g(one)g(in)g(whic)n(h)h(no)e (5)515 4036 y(same)k(colored)g(stones)h(app)r(ear)f(in)i(a)f(ro)n(w)f ($ignoring)g(the)h(required)g(near-equalit)n(y)e(of)515 4135 y(n)n(um)n(b)r(ers)e(of)h(blac)n(k)f(and)g(white)i(stones,)g(or)e (allo)n(wing)f(the)i(option)g(of)f(passing$.)61 b(This)515 4235 y(could)20 b(b)r(e)h(computed)f(exactly)g(with)h(a)f(Dynamic)g (Programming)e(algorithm,)j(with)g(states)515 4334 y(comprising)26 b(a)g(4)h(ro)n(w)f(thic)n(k)h(b)r(order.)36 b(The)27 b(resulting)g(state)g(space)f(size)h(of)g(3)2965 4304 y Fh(4)p Fk(m)3088 4334 y Fn(ho)n(w)n(ev)n(er)515 4434 y(limits)37 b(the)g(approac)n(h)d(to)j Fj(m)h Fn(=)f(6)f(or)g(so.)63 b(The)37 b(alternativ)n(e)e(of)h(using)h(the)g(inclusion-)515 4534 y(exclusion)28 b(form)n(ula)g(to)g(coun)n(t)h(the)g(illegal)f(p)r (ositions)g(is)h(similarly)f(limited,)i(since)e(a)h(6)18 b Fi(\002)515 4633 y Fn(6)37 b(b)r(oard)f(already)g(has)h(32)g(p)r (ossible)g(5-in-a-ro)n(ws,)f(all)h(subsets)h(of)f(whic)n(h)g(ha)n(v)n (e)f(to)i(b)r(e)515 4733 y(considered.)639 4833 y(W)-7 b(e)26 b(note)f(that)h(in)g(con)n(trast)e(to)h(Theorem)f(4,)i(the)f (function)h(ln)14 b Fj(L)p Fn($)p Fj(m;)g(n)p Fn($)26 b(for)e(Gom)n(uku)515 4932 y(is)30 b Fm(sub)l(additive)p Fn(,)j(from)e(whic)n(h)f(Theorem)g(5)h(can)f(b)r(e)h(similarly)f(deriv) n(ed.)45 b(Under)31 b(a)f(naiv)n(e)1905 5255 y(29)p eop end %%Page: 30 30 TeXDict begin 30 29 bop 583 443 2729 4 v 581 543 4 100 v 633 513 a Fj(m)18 b Fi(n)g Fj(n)p 882 543 V 898 543 V 116 w Fn(1)p 1040 543 V 327 w(2)p 1637 543 V 479 w(3)p 2080 543 V 437 w(4)p 2595 543 V 385 w(5)p 2936 543 V 315 w(6)p 3309 543 V 583 546 2729 4 v 581 646 4 100 v 712 616 a(1)p 882 646 V 898 646 V 196 w(1)p 1040 646 V 327 w(9)p 1637 646 V 437 w(907)p 2080 646 V 208 w(2098407841)p 2595 646 V 94 w Fi(\030)23 b Fn(10)2818 586 y Fh(31)p 2936 646 V 2987 616 a Fi(\030)g Fn(10)3159 586 y Fh(100)p 3309 646 V 581 758 4 112 v 712 728 a Fn(2)p 882 758 V 898 758 V 1040 758 V 337 w(386356909593)p 1637 758 V 145 w Fi(\030)g Fn(10)1912 698 y Fh(86)p 2080 758 V 2168 728 a Fn(10)2252 698 y Fb(\030)p Fh(5)p Fk(:)p Fh(3)p Fb(\001)p Fh(10)2476 673 y Fq(2)p 2595 758 V 2936 758 V 3309 758 V 581 870 V 712 840 a Fn(3)p 882 870 V 898 870 V 1040 870 V 1637 870 V 935 w(10)1773 810 y Fb(\030)p Fh(1)p Fk(:)p Fh(1)p Fb(\001)p Fh(10)1997 784 y Fq(3)p 2080 870 V 2595 870 V 2936 870 V 3309 870 V 583 873 2729 4 v 770 1105 a Fn(T)-7 b(able)27 b(7:)37 b(Exact)27 b(and)g(estimated)h (n)n(um)n(b)r(er)f(of)h(games)e(on)h(small)h(b)r(oards.)515 1370 y(assumption)22 b(of)g(indep)r(endence)i(of)e(ev)n(en)n(ts,)h(the) g(\\base)e(of)i(gomoku")e(w)n(ould)h(ha)n(v)n(e)f(a)h(v)-5 b(alue)515 1482 y(of)27 b(1)18 b(+)g(2$1)g Fi(\000)979 1449 y Fh(1)p 979 1463 34 4 v 979 1510 a(3)1022 1432 y(4)1059 1482 y Fn($)1091 1451 y Fh(4)1152 1482 y Fi(\030)23 b Fn(2)p Fj(:)p Fn(90,)j(m)n(uc)n(h)h(less)g(than)h(for)f(Go.)515 1756 y Fo(6)134 b(Coun)l(ting)46 b(games)515 1955 y Fe(6.1)112 b(Exact)37 b(v)-6 b(alues)515 2108 y Fn(By)32 b(Lemma)g(2,)h(the)g(n)n (um)n(b)r(er)f(of)g(games)f(equals)h(the)g(n)n(um)n(b)r(er)g(of)h (simple)f(paths)g(in)h(the)515 2207 y(game)c(graph.)44 b(F)-7 b(or)29 b(v)n(ery)g(small)h(b)r(oards,)g(w)n(e)f(can)h(\014nd)h (these)f(n)n(um)n(b)r(ers)g(b)n(y)g(brute)g(force)515 2307 y(en)n(umeration,)c(as)h(sho)n(wn)g(in)h(T)-7 b(able)27 b(7.)515 2539 y Fe(6.2)112 b(Appro)m(ximation)515 2693 y Fn(Just)37 b(as)g(with)g(legal)g(p)r(ositions,)i(w)n(e)e(can)g (estimate)g(the)h(size)f(of)h(the)f(game)g(tree,)i(and)515 2792 y(hence)g(the)g(n)n(um)n(b)r(er)g(of)g(games,)i(using)d(Heuristic) h(Sampling.)71 b(A)40 b(natural)e(strati\014er,)515 2892 y(similar)24 b(to)g(the)h(one)g(used)f(b)n(y)h(P)n(ang)e(Chen)i(for)f (uncrossed)g(knigh)n(t)g(tours,)h(is)f(the)h(n)n(um)n(b)r(er)515 2992 y(of)19 b(p)r(ositions)g(reac)n(hable)f(through)g Fm(curr)l(ently)k(unvisite)l(d)e Fn(p)r(ositions.)33 b(Using)19 b(this)h(strati\014er,)515 3091 y(w)n(e)26 b(obtained)h(the)g(estimates)f(sho)n(wn)g(in)h(T)-7 b(able)27 b(7,)f(with)h(the)g(lo)r(cation)f(of)h(the)g Fi(\030)p Fn(-sym)n(b)r(ol)515 3191 y(indicating)g($un$certain)n(t)n(y)g(ab)r (out)h(the)g(order)e(of)i(magnitude.)515 3423 y Fe(6.3)112 b(Upp)s(er)38 b(b)s(ounds)515 3577 y Fn(W)-7 b(e)31 b(can)f(relate)g (the)h(n)n(um)n(b)r(er)f(of)g(simple)h(paths)f(to)h(the)g(pro)r(duct)f (of)h(outdegrees.)44 b(First)515 3676 y(w)n(e)27 b(need)h(a)f(tec)n (hnical)g(lemma.)515 3859 y Fg(Lemma)k(16)41 b Fm(On)g(b)l(o)l(ar)l(ds) h(lar)l(ger)h(than)f Fn(1)26 b Fi(\002)h Fn(1)p Fm(,)44 b(every)f(no)l(de)f(in)f(the)h(game)g(gr)l(aph)h(has)515 3958 y(outde)l(gr)l(e)l(e)29 b(at)h(le)l(ast)g(2.)639 4141 y Fg(Pr)n(oof.)36 b Fn(F)-7 b(or)27 b(the)g(empt)n(y)g(p)r (osition,)h(the)f(Lemma)g(holds)g(b)n(y)f(assumption)h(on)g(b)r(oard) 515 4241 y(size.)64 b(F)-7 b(or)36 b(other)g(no)r(des,)j(consider)d (one)h(of)f(its)h(strings.)64 b(If)37 b(this)g(string)g(has)f(at)g (least)515 4340 y(t)n(w)n(o)c(lib)r(erties,)i(then)g(these)f(pro)n (vide)e(t)n(w)n(o)i(legal)f(mo)n(v)n(es)f(for)i(its)g(o)n(wner.)51 b(If)34 b(it)f(has)f(only)515 4440 y(one)27 b(lib)r(ert)n(y)-7 b(,)27 b(then)h(the)g(opp)r(onen)n(t)g(can)f(mo)n(v)n(e)f(there)i(to)f (capture,)g(while)h(a)f(mo)n(v)n(e)f(b)n(y)i(the)515 4540 y(o)n(wner)e(there)i(cannot)f(result)g(in)h(a)f(single-stone)f (suicide.)982 b Fi(\017)639 4675 y Fn(No)n(w)21 b(consider)g(the)h (game)f(tree,)i(consisting)d(of)i(all)f(simple)h(paths.)35 b(W)-7 b(e)22 b(w)n(an)n(t)f(to)h(a)n(v)n(oid)515 4775 y(in)n(ternal)38 b(no)r(des)h(with)h(only)f(one)f(c)n(hild,)43 b(so)38 b(w)n(e)h(mak)n(e)f(them)i(binary)e(b)n(y)h(duplicating)515 4874 y(their)d(c)n(hild)g(subtree.)62 b(By)36 b(Lemma)g(16,)i(the)e (resulting)g(tree)g(still)g(has)g(no)g(more)f(than)515 4974 y($)547 4912 y Fd(Q)625 4999 y Fk(v)679 4974 y Fn(outdeg)o(\()p Fj(v)s Fn($\))p Fj(=)p Fn(mindeg)g(lea)n(v)n(es,)f (where)f(mindeg)h Fi(\025)f Fn(2)h(is)g(the)g(minim)n(um)h(outdegree.) 1905 5255 y(30)p eop end %%Page: 31 31 TeXDict begin 31 30 bop 1264 443 1367 4 v 1262 543 4 100 v 1314 513 a Fj(m)18 b Fi(n)g Fj(n)p 1563 543 V 1579 543 V 116 w Fn(1)p 1721 543 V 173 w(2)p 2009 543 V 247 w(3)p 2298 543 V 267 w(4)p 2628 543 V 1264 546 1367 4 v 1262 646 4 100 v 1393 616 a(1)p 1563 646 V 1579 646 V 196 w(0)p 1721 646 V 141 w(2.4)p 2009 646 V 181 w(2.8)p 2298 646 V 161 w(3.512)p 2628 646 V 1262 746 V 1393 716 a(2)p 1563 746 V 1579 746 V 1721 746 V 337 w(3.368)p 2009 746 V 98 w(4.728)p 2298 746 V 118 w(6.208)p 2628 746 V 1262 845 V 1393 815 a(3)p 1563 845 V 1579 845 V 1721 845 V 2009 845 V 626 w(6.801)p 2298 845 V 118 w(8.933)p 2628 845 V 1262 945 V 1393 915 a(4)p 1563 945 V 1579 945 V 1721 945 V 2009 945 V 2298 945 V 915 w(11.741)p 2628 945 V 1264 948 1367 4 v 1133 1180 a(T)-7 b(able)27 b(8:)37 b(Av)n(erage)26 b(outdegree)g(on)h(small)h(b)r(oards.)515 1437 y(F)-7 b(urthermore,)25 b(since)h(the)h(tree)e(is)h(at)g(least)g (binary)-7 b(,)26 b(it)g(m)n(ust)g(ha)n(v)n(e)f(few)n(er)h(in)n(ternal) f(no)r(des)515 1536 y(than)i(lea)n(v)n(es.)36 b(This)27 b(pro)n(v)n(es)515 1708 y Fg(Lemma)k(17)41 b Fm(The)31 b(numb)l(er)e(of)i(games)g(on)e(an)h Fj(m)19 b Fi(\002)f Fj(n)30 b Fm(b)l(o)l(ar)l(d)g(with,)h Fj(mn)23 b(>)g Fn(1)p Fm(,)30 b(is)g(at)g(most)515 1745 y Fd(Q)593 1832 y Fk(v)646 1808 y Fm(outde)l(g)q Fn($)p Fj(v)s Fn($)p Fm(.)639 1979 y Fn(By)22 b(Corollary)d(1,)k(this)f(is)g(in)g(turn)g(b)r (ounded)g(b)n(y)f($2)p Fj(mn)p Fn($)2388 1949 y Fk(L)p Fh($)p Fk(m;n)p Fh($)2609 1979 y Fn(.)35 b(Most)22 b(p)r(ositions)f(ha)n(v)n(e)515 2079 y(ab)r(out)27 b Fj(mn=)p Fn(3)f(empt)n(y)i(p)r(oin)n(ts)f(though,)g(and)g(some)g(of)g (the)h(mo)n(v)n(es)e(are)g(illegal)h(self-lo)r(ops,)515 2179 y(so)g(the)h(a)n(v)n(erage)c(outdegree)j(is)g(m)n(uc)n(h)h(less)f (than)h(2)p Fj(mn)p Fn(.)515 2350 y Fg(Theorem)k(7)41 b Fm(The)31 b(numb)l(er)e(of)h(games)h(on)f(an)f Fj(m)19 b Fi(\002)f Fj(n)29 b Fm(b)l(o)l(ar)l(d)i(is)f(at)g(most)f Fn($)p Fj(mn)p Fn($)3107 2320 y Fk(L)p Fh($)p Fk(m;n)p Fh($)3329 2350 y Fm(.)639 2522 y Fg(Pr)n(oof.)36 b Fn(The)26 b(Theorem)g(holds)f(trivially)h(for)f Fj(mn)e Fn(=)g(1,)j(whic)n(h)g (has)g(only)f(1)h(p)r(osition)515 2622 y(and)i(1)f(game,)h(and)g(for)g Fj(mn)23 b Fn(=)h(2,)k(whic)n(h)g(has)f(only)h(5)g(p)r(ositions)g(and)f (9)h(games.)38 b(T)-7 b(able)27 b(8)515 2721 y(sho)n(ws)k(that)i(for)f (other)g(small)h(b)r(oards,)g(the)g(a)n(v)n(erage)d(outdegree)h(is)i (smaller)e(than)i Fj(mn)p Fn(.)515 2821 y(By)23 b(the)i(Cherno\013)e(b) r(ounds)h(on)g(binomial)f(tails,)i(the)f(fraction)f(of)h(legal)f(p)r (ositions)h(with)g(at)515 2921 y(least)30 b Fj(mn=)p Fn(2)g(empt)n(y)h(p)r(oin)n(ts)f(diminishes)i(exp)r(onen)n(tially)e(on) g(larger)f(b)r(oards,)i(for)f(whic)n(h)515 3020 y(the)f(a)n(v)n(erage)d (outdegree)i(is)g(close)g(to)h(2)p Fj(mn=)p Fn(3.)39 b(T)-7 b(o)28 b(complete)h(the)g(pro)r(of,)g(note)g(that)g(the)515 3120 y(pro)r(duct)i(of)g(outdegrees)f(equals)g(the)h Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($'th)32 b(p)r(o)n(w)n(er)e(of)h (their)g(geometric)f(a)n(v)n(erage,)515 3219 y(whic)n(h)d(is)h(upp)r (erb)r(ounded)g(b)n(y)f(the)h(arithmetic)g(a)n(v)n(erage.)996 b Fi(\017)639 3355 y Fn(This)32 b(b)r(ound)g(is)g(quite)g(crude)f(for)h (small)f(b)r(oards.)48 b(F)-7 b(or)31 b(example,)i(the)f(1)21 b Fi(\002)g Fn(3)31 b(b)r(oard)515 3454 y(has)24 b(an)h(a)n(v)n(erage)d (outdegree)h(of)1545 3422 y Fh(42)p 1545 3436 67 4 v 1545 3483 a(15)1644 3454 y Fn(=)g(2)p Fj(:)p Fn(8,)i(an)f(outdegree)g (pro)r(duct)h(of)f(3)13 b Fi(\001)g Fn(2)2908 3424 y Fh(19)3001 3454 y Fn(=)22 b(1572864)515 3554 y(whic)n(h)k(is)h(b)r (ounded)g(b)n(y)g(3)1329 3524 y Fh(15)1422 3554 y Fn(=)22 b(14348907,)h(while)k(the)h(actual)e(n)n(um)n(b)r(er)g(of)h(games)f(is) g(only)515 3654 y(907.)639 3753 y(W)-7 b(e)42 b(conjecture)f(that)h (for)f(an)n(y)g Fj(mn)k Fi(\025)h Fn(3,)f(the)d(n)n(um)n(b)r(er)f(of)g (games)g(is)g(less)g(than)515 3853 y($2)p Fj(mn=)p Fn(3$)828 3823 y Fk(L)p Fh($)p Fk(m;n)p Fh($)1048 3853 y Fn(.)34 b(The)21 b(fact)g(that)f(legal)g(p)r(ositions)g(ha)n(v)n(e)f(on)h(a)n (v)n(erage)e(more)i(empt)n(y)g(p)r(oin)n(ts)515 3953 y(than)j(arbitrary)d(p)r(ositions)i(should)h(b)r(e)g(amply)f(o\013set)h (b)n(y)f(the)h(remo)n(v)-5 b(al)22 b(of)g(self-lo)r(ops)g(and,)515 4052 y(more)e(imp)r(ortan)n(tly)-7 b(,)22 b(the)g(widening)f(gap)f(b)r (et)n(w)n(een)h(geometric)f(and)h(arithmetic)g(a)n(v)n(erages.)515 4283 y Fe(6.4)112 b(Lo)m(w)m(er)37 b(b)s(ounds)515 4436 y Fn(Note)18 b(that)h(the)g(game)f(graph)f(need)h(not)h(b)r(e)g (Hamiltonian,)h(and)e(constructing)g(a)g(game)g(vis-)515 4536 y(iting)g(ev)n(en)g(2)921 4505 y Fk(mn)1043 4536 y Fn(legal)g(p)r(ositions)g(is)g(a)g(ma)5 b(jor)17 b(c)n(hallenge)g ($ac)n(hiev)-5 b(able)18 b(for)g(one-dimensional)515 4635 y(b)r(oards)27 b(as)h(w)n(e'll)g(see)f(later$.)39 b(W)-7 b(e)29 b(can)e(still)i(get)f(a)g(non)n(trivial)f(lo)n(w)n(er)g (b)r(ound)h(b)n(y)g(visiting)515 4735 y(only)f(a)g(highly)g(structured) h(subset)f(of)h(legal)f(p)r(ositions.)515 4907 y Fg(Theorem)32 b(8)41 b Fm(Supp)l(ose)30 b(the)g Fj(mn)f Fm(p)l(oints)h(on)g(the)f(b)l (o)l(ar)l(d)i(c)l(an)e(b)l(e)h(p)l(artitione)l(d)h(into)e(3)h(sets)515 5006 y Fj(B)t(;)14 b(W)n(;)g(E)35 b Fm(such)29 b(that)1905 5255 y Fn(31)p eop end %%Page: 32 32 TeXDict begin 32 31 bop 639 523 a Fi(\017)41 b(j)p Fj(B)t Fi(j)24 b Fn(=)e Fi(j)p Fj(W)12 b Fi(j)23 b Fn(=)g Fj(k)s(;)14 b Fi(j)p Fj(E)5 b Fi(j)23 b Fn(=)g Fj(l)h Fn(=)f Fj(mn)18 b Fi(\000)g Fn(2)p Fj(k)s Fm(,)639 687 y Fi(\017)41 b Fj(B)34 b Fm(and)c Fj(W)42 b Fm(ar)l(e)30 b(c)l(onne)l(cte)l(d,)639 852 y Fi(\017)41 b Fm(e)l(ach)31 b(p)l(oint)f(in)g Fj(E)35 b Fm(is)30 b(adjac)l(ent)h(to)e(b)l(oth)h Fj(B)k Fm(and)d Fj(W)12 b Fm(.)515 1023 y(Then)30 b(ther)l(e)g(ar)l(e)g(at)g(le)l(ast)g Fn($)p Fj(k)s Fn(!$)1501 993 y Fh(2)1534 968 y Fs(l)p Fp(\000)p Fq(1)1665 1023 y Fm(p)l(ossible)i(games,)e(al)t(l)h(lasting)f (over)h Fj(k)s Fn(2)2898 993 y Fk(l)p Fb(\000)p Fh(1)3038 1023 y Fm(moves.)639 1201 y Fg(Pr)n(oof.)j Fn(First)19 b(w)n(e)g(recall)f(some)h(prop)r(erties)g(of)g(binary)g Fm(Gr)l(ay)h Fn(co)r(des.)34 b(The)19 b(1)g(bit)h(Gra)n(y)515 1301 y(co)r(de)33 b Fj(G)777 1313 y Fh(1)848 1301 y Fn(is)g(0)p Fj(;)14 b Fn(1,)34 b(while)g Fj(G)1403 1313 y Fk(l)p Fh(+1)1546 1301 y Fn(consists)f(of)g Fj(G)2023 1313 y Fk(l)2083 1301 y Fn(in)g(whic)n(h)h(eac)n(h)e(bitstring)i(is)f (extended)515 1400 y(with)27 b(a)f(0,)h(follo)n(w)n(ed)f(b)n(y)g(the)h (rev)n(erse)e(of)i Fj(G)1875 1412 y Fk(l)1928 1400 y Fn(in)g(whic)n(h)f(eac)n(h)g(bitstring)h(is)g(extended)g(with)515 1500 y(a)36 b(1.)63 b(Th)n(us,)39 b Fj(G)1031 1512 y Fh(2)1106 1500 y Fn(=)f(00)p Fj(;)14 b Fn(10)p Fj(;)g Fn(11)p Fj(;)g Fn(01)32 b(and)k Fj(G)1923 1512 y Fh(3)1999 1500 y Fn(=)h(000)p Fj(;)14 b Fn(100)p Fj(;)g Fn(110)p Fj(;)g Fn(010)p Fj(;)g Fn(01)o(1)p Fj(;)g Fn(1)o(11)o Fj(;)g Fn(1)o(01)p Fj(;)f Fn(00)o(1.)515 1600 y(Successiv)n(e)38 b(strings)h(di\013er)g(in)h(exactly)e(one)h(bit,)k(and)d(the)f (sequence)g(of)h(bits)f(\015ipp)r(ed)515 1699 y(is)e(the)h(so-called)e Fm(binary)k(c)l(arry)f(sche)l(dule)g Fn(0)p Fj(;)14 b Fn(1)p Fj(;)g Fn(0)p Fj(;)g Fn(2)p Fj(;)g Fn(0)p Fj(;)g Fn(1)p Fj(;)g Fn(0)p Fj(;)g Fn(3)p Fj(;)g Fn(0)p Fj(;)g Fn(1)p Fj(;)g Fn(0)o Fj(;)g Fn(2)p Fj(;)g(:)g(:)f(:)-5 b Fn(.)66 b(Consider)515 1799 y(the)32 b(successiv)n(e)f(c)n(hanges)f (in)i(Hamming)g(w)n(eigh)n(t.)50 b(Denote)32 b(an)g(incremen)n(t)f(b)n (y)h(+)g(and)f(a)515 1899 y(decremen)n(t)j(b)n(y)g Fi(\000)p Fn(.)58 b(Since)35 b(the)g(initial)g(bit)g(is)g(\015ipp)r(ed)g(ev)n (ery)f(other)g(step,)i(ev)n(ery)e(4)p Fj(i)p Fn(-th)515 1998 y(sign)23 b(is)i(+)e(while)i(ev)n(ery)e(4)p Fj(i)12 b Fn(+)g(2-nd)22 b(sign)h(is)i Fi(\000)p Fn(.)35 b(As)24 b(a)g(consequence,)g Fj(G)2735 2010 y Fk(l)2785 1998 y Fn(has)g(2)2972 1968 y Fk(l)p Fb(\000)p Fh(1)3093 1998 y Fi(\000)12 b Fn(1)24 b(sign)515 2098 y(c)n(hanges.)35 b(F)-7 b(urthermore,)26 b(the)g(initial)h(bit)g(is)f(1)h(in)n(b)r(et)n (w)n(een)f(a)g(c)n(hange)f(from)h(+)g(to)h Fi(\000)p Fn(,)f(and)515 2197 y(is)h(0)g(in)n(b)r(et)n(w)n(een)h(a)f(c)n(hange)f (from)i Fi(\000)f Fn(to)g(+.)639 2297 y(Let)d Fi(f)p Fj(E)887 2309 y Fk(i)915 2297 y Fi(g)957 2314 y Fh(0)p Fb(\024)p Fk(i<)p Fh(2)1150 2297 y Fs(l)32 b Fn(b)r(e)24 b(the)g(sequence)f(of)h(all)g(subsets)f(of)h Fj(E)29 b Fn(corresp)r(onding)22 b(to)h(the)h Fj(l)r Fn(-bit)515 2397 y(Gra)n(y)d(co)r(de.)35 b(Let)23 b Fj(E)1150 2361 y Fh(+)1145 2420 y Fk(i)1227 2397 y Fn(b)r(e)g(the)g(p)r(osition)f (with)h(only)g(blac)n(k)e(stones)h(on)g Fj(B)12 b Fi([)c Fj(E)2911 2409 y Fk(i)2963 2397 y Fn(and)22 b Fj(E)3185 2361 y Fb(\000)3180 2420 y Fk(i)3264 2397 y Fn(the)515 2496 y(p)r(osition)28 b(with)g(only)g(white)h(stones)e(on)h Fj(W)j Fi([)19 b Fn($)p Fj(E)24 b Fi(n)18 b Fj(E)2218 2508 y Fk(i)2246 2496 y Fn($.)39 b(By)28 b(the)g(connectivit)n(y)g (assump-)515 2596 y(tions,)h(these)h(p)r(ositions)f(ha)n(v)n(e)f(only)h (one)g(string.)42 b(See)29 b(Figure)g(13)f(for)h(an)g(illustration)g (of)515 2696 y(the)f(3)f(bit)h(Gra)n(y)e(co)r(de)i(and)f(corresp)r (onding)f(p)r(ositions.)639 2795 y(W)-7 b(e)28 b(no)n(w)f(construct)g (games)f(as)h(follo)n(ws:)36 b(\014rst)27 b(pla)n(y)g(from)g(the)g (empt)n(y)h(b)r(oard)f(to)g Fj(E)3324 2760 y Fh(+)3319 2817 y(0)515 2895 y Fn(in)34 b(one)g(of)h Fj(k)s Fn(!)f(w)n(a)n(ys.)56 b(Then)34 b(a)g(blac)n(k)g(mo)n(v)n(e)f(tak)n(es)g(us)i(to)f Fj(E)2487 2859 y Fh(+)2482 2917 y(1)2542 2895 y Fn(,)i(and)e(another)g (tak)n(es)f(us)515 2994 y(to)e Fj(E)686 2959 y Fh(+)681 3017 y(2)741 2994 y Fn(.)49 b(Since)32 b(the)g(sign)f(c)n(hanges)f(to)h Fi(\000)p Fn(,)i(w)n(e)e(\014rst)g(mo)n(v)n(e)f(from)i Fj(E)2679 2959 y Fh(+)2674 3017 y(2)2765 2994 y Fn(to)g Fj(E)2937 2959 y Fb(\000)2932 3017 y Fh(2)3025 2994 y Fn(b)n(y)f(letting)515 3094 y(white)36 b(o)r(ccup)n(y)e(all)h(of)h Fj(W)47 b Fn(in)36 b(one)f(of)g Fj(k)s Fn(!)g(w)n(a)n(ys)f(and)h(then)h (o)r(ccup)n(y)f Fj(E)29 b Fi(n)23 b Fj(E)2935 3106 y Fh(2)2972 3094 y Fn(,)38 b(capturing)515 3194 y(blac)n(k.)d(No)n(w)24 b(a)g(white)h(mo)n(v)n(e)f(tak)n(es)f(us)i(to)f Fj(E)1927 3158 y Fb(\000)1922 3216 y Fh(3)1983 3194 y Fn(.)36 b(In)25 b(this)g(w)n(a)n(y)f(w)n(e)g(transform)f(eac)n(h)h(+)g(in)n(to)515 3293 y(a)31 b(blac)n(k)f(mo)n(v)n(e,)h(eac)n(h)g Fi(\000)g Fn(in)n(to)g(a)f(white)i(mo)n(v)n(e,)f(and)g(eac)n(h)g(sign)g(c)n (hange)f(in)n(to)h(a)g(capture)515 3393 y(sequence.)44 b(W)-7 b(e)31 b(get)f Fj(k)s Fn(!)g(c)n(hoices)f(at)h(the)h(start,)f (and)g(at)g(ev)n(ery)f(sign)h(c)n(hange,)g(for)g(a)f(total)515 3493 y(of)e(2)651 3462 y Fk(l)p Fb(\000)p Fh(1)789 3493 y Fn(times.)639 3592 y(It)33 b(remains)e(to)h(sho)n(w)f(that)h(no)g(p)r (osition)g(is)g(rep)r(eated.)50 b(All)32 b Fj(E)2668 3557 y Fh(+)2663 3615 y Fk(i)2723 3592 y Fj(;)14 b(E)2826 3557 y Fb(\000)2821 3615 y Fk(i)2914 3592 y Fn(p)r(ositions)32 b(are)515 3692 y(unique)d(b)n(y)f(construction.)39 b(During)29 b(a)f(c)n(hange)g(from)g Fj(E)2304 3656 y Fh(+)2299 3715 y Fk(i)2388 3692 y Fn(to)h Fj(E)2557 3656 y Fb(\000)2552 3715 y Fk(i)2613 3692 y Fn(,)g(b)n(y)f(the)h(ab)r(o)n(v)n(e)f(obser-) 515 3791 y(v)-5 b(ation)32 b(on)h(sign)g(c)n(hanges,)g(the)g(p)r(oin)n (t)g(corresp)r(onding)e(to)i(the)g(initial)h(bit)f(of)g(the)g(Gra)n(y) 515 3891 y(co)r(de)25 b(is)g(blac)n(k,)f(so)h(all)g(in)n(termediate)f (p)r(ositions)h(can)g(b)r(e)g(uniquely)g(asso)r(ciated)f(with)i Fj(E)3301 3856 y Fh(+)3296 3914 y Fk(i)3356 3891 y Fn(.)515 3991 y(Similarly)-7 b(,)36 b(during)e(a)h(c)n(hange)f(from)g Fj(E)1791 3955 y Fb(\000)1786 4014 y Fk(j)1882 3991 y Fn(to)h Fj(E)2057 3955 y Fh(+)2052 4014 y Fk(j)2112 3991 y Fn(,)i(that)e(same)g(p)r(oin)n(t)g(is)f(white)i(and)e(all)515 4105 y(in)n(termediate)27 b(p)r(ositions)g(can)g(b)r(e)h(uniquely)g (asso)r(ciated)e(with)i Fj(E)2598 4069 y Fb(\000)2593 4128 y Fk(i)2655 4105 y Fn(.)659 b Fi(\017)515 4349 y Fg(Cor)n(ollar)-6 b(y)31 b(7)41 b Fm(Ther)l(e)25 b(ar)l(e)f(b)l(etwe)l (en)g Fn(2)1792 4319 y Fh(2)1825 4294 y Fs(n)1862 4278 y Fq(2)1893 4294 y Fs(=)p Fq(2)10 b Fp(\000)p Fs(O)q Fq($)p Fs(n)p Fq($)2166 4349 y Fm(and)24 b Fn(2)2363 4319 y Fh(2)2396 4294 y Fs(n)2433 4278 y Fq(2)2475 4294 y(log)11 b(3+log)g(log)g Fs(n)p Fq(+)p Fs(O)q Fq($1$)3028 4349 y Fm(Go)24 b(games)515 4449 y(on)30 b(an)f Fj(n)19 b Fi(\002)f Fj(n)29 b Fm(b)l(o)l(ar)l(d,)639 4627 y Fg(Pr)n(oof.)63 b Fn(On)37 b(a)f(square)f(b)r(oard)h(of)g(size)g Fj(n)i Fi(\021)g Fn(3)22 b(mo)r(d)i(4,)38 b(the)f(partition)f(sho)n(wn)g(in) 515 4727 y(Figure)24 b(14)h(has)f(parameters)g Fj(k)i Fn(=)c Fi(j)p Fj(B)t Fi(j)i Fn(=)e Fi(j)p Fj(W)12 b Fi(j)24 b Fn(=)e Fj(n)14 b Fi(\000)g Fn(1)g(+)g($)p Fj(n)g Fi(\000)g Fn(2$$)p Fj(n)g Fn(+)g(1$)p Fj(=)p Fn(4)20 b(and)25 b Fj(l)g Fn(=)d(2)14 b(+)515 4855 y($)p Fj(n)g Fi(\000)g Fn(2$$)p Fj(n)g Fi(\000)g Fn(1$)p Fj(=)p Fn(2,)23 b(giving)h(a)h(lo)n(w)n(er)f(b)r(ound)i(of)f($)p Fj(k)s Fn(!$)2148 4825 y Fh(2)2181 4800 y Fs(l)p Fp(\000)p Fq(1)2306 4855 y Fn(=)d(2)2435 4825 y Fh(2)2468 4800 y Fs(n)2505 4783 y Fq(2)2537 4800 y Fs(=)p Fq(2)10 b Fp(\000)p Fq(3)p Fs(n=)p Fq(2)g(+log)h Fs(k)q Fq(+log)g(log)g Fs(k)q Fq(+)p Fs(O)q Fq($1$)3356 4855 y Fn(.)515 4954 y(The)27 b(upp)r(er)h(b)r(ound)g(follo)n(ws)f(from)g(Theorem)g(7.)1273 b Fi(\017)1905 5255 y Fn(32)p eop end %%Page: 33 33 TeXDict begin 33 32 bop 1238 2695 a @beginspecial 0 @llx 0 @lly 298 @urx 439 @ury 1700 @rwi @setspecial %%BeginDocument: gray3.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: gray3.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Mon Jul 18 14:57:44 2005 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 298 439 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 439 moveto 0 0 lineto 298 0 lineto 298 439 lineto closepath clip newpath -54.0 572.9 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Polyline 7.500 slw n 2100 2400 m 2700 2400 l 2700 3000 l 2100 3000 l cp gs col0 s gr % Polyline n 2400 2400 m 2400 3000 l gs col0 s gr % Polyline n 2100 2700 m 2700 2700 l gs col0 s gr % Polyline n 2100 3600 m 2700 3600 l 2700 4200 l 2100 4200 l cp gs col0 s gr % Polyline n 2400 3600 m 2400 4200 l gs col0 s gr % Polyline n 2100 3900 m 2700 3900 l gs col0 s gr % Polyline n 2100 4800 m 2700 4800 l 2700 5400 l 2100 5400 l cp gs col0 s gr % Polyline n 2400 4800 m 2400 5400 l gs col0 s gr % Polyline n 2100 5100 m 2700 5100 l gs col0 s gr % Polyline n 2100 6000 m 2700 6000 l 2700 6600 l 2100 6600 l cp gs col0 s gr % Polyline n 2400 6000 m 2400 6600 l gs col0 s gr % Polyline n 2100 6300 m 2700 6300 l gs col0 s gr % Polyline n 2100 7200 m 2700 7200 l 2700 7800 l 2100 7800 l cp gs col0 s gr % Polyline n 2400 7200 m 2400 7800 l gs col0 s gr % Polyline n 2100 7500 m 2700 7500 l gs col0 s gr % Polyline n 2100 8400 m 2700 8400 l 2700 9000 l 2100 9000 l cp gs col0 s gr % Polyline n 2400 8400 m 2400 9000 l gs col0 s gr % Polyline n 2100 8700 m 2700 8700 l gs col0 s gr % Polyline n 5100 2400 m 5700 2400 l 5700 3000 l 5100 3000 l cp gs col0 s gr % Polyline n 5400 2400 m 5400 3000 l gs col0 s gr % Polyline n 5100 2700 m 5700 2700 l gs col0 s gr % Polyline n 5100 3600 m 5700 3600 l 5700 4200 l 5100 4200 l cp gs col0 s gr % Polyline n 5400 3600 m 5400 4200 l gs col0 s gr % Polyline n 5100 3900 m 5700 3900 l gs col0 s gr % Polyline n 5100 4800 m 5700 4800 l 5700 5400 l 5100 5400 l cp gs col0 s gr % Polyline n 5400 4800 m 5400 5400 l gs col0 s gr % Polyline n 5100 5100 m 5700 5100 l gs col0 s gr % Polyline n 5100 6000 m 5700 6000 l 5700 6600 l 5100 6600 l cp gs col0 s gr % Polyline n 5400 6000 m 5400 6600 l gs col0 s gr % Polyline n 5100 6300 m 5700 6300 l gs col0 s gr % Polyline n 5100 7200 m 5700 7200 l 5700 7800 l 5100 7800 l cp gs col0 s gr % Polyline n 5400 7200 m 5400 7800 l gs col0 s gr % Polyline n 5100 7500 m 5700 7500 l gs col0 s gr % Polyline n 5100 8400 m 5700 8400 l 5700 9000 l 5100 9000 l cp gs col0 s gr % Polyline n 5400 8400 m 5400 9000 l gs col0 s gr % Polyline n 5100 8700 m 5700 8700 l gs col0 s gr % Ellipse n 2100 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 6300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 2700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 3900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 3900 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 4800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr /Times-Roman ff 360.00 scf sf 2175 6975 m gs 1 -1 sc (flip) col0 sh gr /Times-Roman ff 360.00 scf sf 2175 9450 m gs 1 -1 sc (flip) col0 sh gr /Times-Roman ff 360.00 scf sf 5175 5775 m gs 1 -1 sc (flip) col0 sh gr /Times-Roman ff 480.00 scf sf 3900 8850 m gs 1 -1 sc (001) col0 sh gr /Times-Roman ff 480.00 scf sf 3900 7650 m gs 1 -1 sc (101) col0 sh gr /Times-Roman ff 480.00 scf sf 3900 6450 m gs 1 -1 sc (111) col0 sh gr /Times-Roman ff 480.00 scf sf 3900 4050 m gs 1 -1 sc (011) col0 sh gr /Times-Roman ff 480.00 scf sf 3900 2850 m gs 1 -1 sc (010) col0 sh gr /Times-Roman ff 480.00 scf sf 3900 5250 m gs 1 -1 sc (111) col0 sh gr /Times-Roman ff 480.00 scf sf 900 8850 m gs 1 -1 sc (010) col0 sh gr /Times-Roman ff 480.00 scf sf 900 7650 m gs 1 -1 sc (110) col0 sh gr /Times-Roman ff 480.00 scf sf 900 5250 m gs 1 -1 sc (100) col0 sh gr /Times-Roman ff 480.00 scf sf 900 4050 m gs 1 -1 sc (000) col0 sh gr /Times-Roman ff 480.00 scf sf 900 6450 m gs 1 -1 sc (110) col0 sh gr /Times-Roman ff 480.00 scf sf 900 4650 m gs 1 -1 sc (+) col0 sh gr /Times-Roman ff 480.00 scf sf 1125 5850 m gs 1 -1 sc (+) col0 sh gr /Times-Roman ff 480.00 scf sf 4350 3450 m gs 1 -1 sc (+) col0 sh gr /Times-Roman ff 480.00 scf sf 3900 4650 m gs 1 -1 sc (+) col0 sh gr /Times-Roman ff 480.00 scf sf 4125 6900 m gs 1 -1 sc (_) col0 sh gr /Times-Roman ff 480.00 scf sf 3900 8100 m gs 1 -1 sc (_) col0 sh gr /Times-Roman ff 480.00 scf sf 900 8100 m gs 1 -1 sc (_) col0 sh gr % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 2100 7800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2400 7800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 7800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 7500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2400 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2700 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5100 6600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 6600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 6600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 7800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 7800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5100 7800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 7500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5100 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 9000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 8700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 926 2960 a Fn(Figure)27 b(13:)35 b(3-bit)28 b(Gra)n(y)e(co)r(de)i(and)f(corresp)r(onding)f(p)r(ositions.)1356 4558 y @beginspecial 0 @llx 0 @lly 199 @urx 199 @ury 1417 @rwi @setspecial %%BeginDocument: BWE.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: BWE.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Mon Jul 18 14:07:51 2005 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 199 199 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 199 moveto 0 0 lineto 199 0 lineto 199 199 lineto closepath clip newpath -188.5 261.4 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Ellipse 7.500 slw n 3300 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4500 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 1200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 1800 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 2100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 3000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 2700 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4500 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 3600 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4500 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5400 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 3300 1200 m 6300 1200 l 6300 4200 l 3300 4200 l cp gs col0 s gr % Polyline n 3600 1200 m 3600 4200 l gs col0 s gr % Polyline n 3900 1200 m 3900 4200 l gs col0 s gr % Polyline n 4200 1200 m 4200 4200 l gs col0 s gr % Polyline n 4500 1200 m 4500 4200 l gs col0 s gr % Polyline n 4800 1200 m 4800 4200 l gs col0 s gr % Polyline n 5100 1200 m 5100 4200 l gs col0 s gr % Polyline n 5400 1200 m 5400 4200 l gs col0 s gr % Polyline n 5700 1200 m 5700 4200 l gs col0 s gr % Polyline n 6000 1200 m 6000 4200 l gs col0 s gr % Polyline n 3300 1500 m 6300 1500 l gs col0 s gr % Polyline n 3300 1800 m 6300 1800 l gs col0 s gr % Polyline n 3300 2100 m 6300 2100 l gs col0 s gr % Polyline n 3300 2400 m 6300 2400 l gs col0 s gr % Polyline n 3300 2700 m 6300 2700 l gs col0 s gr % Polyline n 3300 3000 m 6300 3000 l gs col0 s gr % Polyline n 3300 3300 m 6300 3300 l gs col0 s gr % Polyline n 3300 3600 m 6300 3600 l gs col0 s gr % Polyline n 3300 3900 m 6300 3900 l gs col0 s gr % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 3300 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3600 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4200 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4800 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5100 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6000 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 3900 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 3600 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 2700 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 2400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 2100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6000 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5100 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4800 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4200 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3600 1800 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6000 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5100 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4800 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4500 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 4200 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3900 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 3600 3000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 1025 4823 a(Figure)h(14:)36 b(Board)26 b(partition)h(for)g (games)g(lo)n(w)n(er)f(b)r(ound.)1905 5255 y(33)p eop end %%Page: 34 34 TeXDict begin 34 33 bop 515 523 a Fg(Cor)n(ollar)-6 b(y)31 b(8)41 b Fm(The)31 b(numb)l(er)e Fj(N)38 b Fm(of)31 b Fn(19)17 b Fi(\002)h Fn(19)29 b Fm(Go)h(games)h(is)1406 700 y Fn($103!$)1619 666 y Fh(2)1652 641 y Fq(154)1768 700 y Fi(\024)22 b Fj(N)32 b Fi(\024)23 b Fn(361)2168 666 y Fh(0)p Fk(:)p Fh(012)p Fb(\001)p Fh(3)2373 641 y Fq(361)2464 700 y Fj(;)515 867 y Fm(in)30 b(binary)1619 977 y Fn(2)1661 943 y Fh(2)1694 918 y Fq(163)1810 977 y Fj(<)22 b(N)32 b(<)23 b Fn(2)2126 943 y Fh(2)2159 918 y Fq(569)2252 977 y Fj(;)515 1117 y Fm(and)30 b(in)g(de)l(cimal)1559 1217 y Fn(10)1643 1182 y Fh(10)1709 1157 y Fq(48)1796 1217 y Fj(<)22 b(N)32 b(<)23 b Fn(10)2154 1182 y Fh(10)2220 1157 y Fq(171)2312 1217 y Fj(:)639 1383 y Fn(In)32 b(one)g(dimension,)h (the)f(conditions)f(of)h(Theorem)f(8)h(can)f(only)h(b)r(e)g(met)g(b)n (y)g(taking)515 1483 y Fj(E)39 b Fn(a)34 b(singleton)f(set,)j(giving)d (a)h(useless)g(b)r(ound.)57 b(F)-7 b(ortunately)g(,)35 b(the)g(highly)e(structured)515 1582 y(nature)27 b(of)g (one-dimensional)g(b)r(oards)f(allo)n(ws)g(us)i(to)f(pro)n(v)n(e)f(m)n (uc)n(h)i(b)r(etter)g(b)r(ounds.)515 1749 y Fg(Theorem)k(9)41 b Fm(Ther)l(e)25 b(ar)l(e)g(at)f(le)l(ast)h Fn(2)1696 1719 y Fh(2)1729 1693 y Fs(n)p Fp(\000)p Fq(1)1871 1749 y Fm(games)f(on)h(an)f Fn(1)7 b Fi(\002)g Fj(n)23 b Fm(b)l(o)l(ar)l(d)i (with)f Fj(n)f Fi(\025)g Fn(2)p Fm(,)i(which)515 1848 y(last)30 b(fr)l(om)g Fn(3)18 b Fi(\001)g Fn(2)1009 1818 y Fk(n)p Fb(\000)p Fh(1)1157 1848 y Fi(\000)g Fn(5)30 b Fm(up)f(to)h Fn(2)1570 1818 y Fk(n)p Fh(+1)1717 1848 y Fi(\000)18 b Fn(4)30 b Fm(moves.)639 2015 y Fg(Pr)n(oof.)48 b Fn(Num)n(b)r(er)31 b(the)h(p)r(oin)n(ts)f(0)p Fj(;)14 b Fn(1)p Fj(;)g(:)g(:)g(:)f(;)h(n)21 b Fi(\000)f Fn(1)31 b(from)g(left)h(to)f(righ)n(t.)48 b(T)-7 b(o)31 b(an)n(y)g(non-)515 2114 y(empt)n(y)22 b(legal)f(p)r(osition)h(w)n(e)f(can)h(assign)f(a)g Fm(pr)l(e)l(de)l(c)l(essor)i Fn(in)g(whic)n(h)f(the)g(leftmost)g (stone,)h(sa)n(y)515 2214 y(on)30 b(p)r(oin)n(t)h Fj(i)p Fn(,)f(is)h(replaced)e(b)n(y)h(stones)g(of)h(the)g(opp)r(osite)f(color) f(on)h(p)r(oin)n(ts)g(0)p Fj(;)14 b Fn(1)p Fj(;)g(:)g(:)g(:)f(;)h(i)20 b Fi(\000)f Fn(1.)515 2314 y(If)30 b(w)n(e)g(assign)f(to)g(eac)n(h)h(p) r(osition)f(the)i(n)n(um)n(b)r(er)2035 2251 y Fd(P)2122 2343 y Fk(i)d Fn(o)r(ccupied)2507 2314 y(2)2549 2283 y Fk(i)2576 2314 y Fn(,)j(then)g(the)f(predecessor)515 2425 y(of)j(a)h(p)r(osition)f(is)h(indeed)g(n)n(um)n(b)r(ered)f(one)h (less.)55 b(The)33 b(predecessor)f(relation)h(de\014nes)g(a)515 2524 y(spanning)e(tree)g(of)g(the)h(game)f(graph)g(whic)n(h)g(w)n(e)g (call)g(the)h Fm(left-c)l(apturing)g Fn(gametree,)g(in)515 2624 y(whic)n(h)21 b(eac)n(h)f(legal)g(p)r(osition)h(o)r(ccurs)f(at)h (a)g(depth)g(equal)g(to)g(its)g(n)n(um)n(b)r(er.)35 b(Figure)20 b(15)g(sho)n(ws)515 2724 y(the)28 b(left-capturing)f(gametree)f(for)h Fj(n)c Fn(=)g(3.)37 b(This)27 b(is)h(a)f(binary)g(tree;)g(eac)n(h)g(no) r(de)h(has)f(0,1,)515 2823 y(or)34 b(2)h(c)n(hildren,)i(since)e(at)g (most)h(2)e(p)r(ositions)h(can)g(ha)n(v)n(e)f(the)i(same)f (predecessor.)58 b(The)515 2923 y(t)n(w)n(o)28 b(p)r(ositions)h(at)g (maxim)n(um)g(depth)g(2)1794 2893 y Fk(n)1858 2923 y Fi(\000)19 b Fn(2)29 b(ha)n(v)n(e)f(a)h(single)f(string)g(o)r(ccup)n (ying)h(all)f(but)515 3022 y(the)i(leftmost)h(p)r(oin)n(t.)44 b(The)31 b(path)f(to)g(suc)n(h)g(a)f(p)r(osition)h(has)g(2)2487 2992 y Fk(n)p Fb(\000)p Fh(2)2647 3022 y Fn(p)r(ositions)f(with)i(p)r (oin)n(t)515 3122 y(0)e(o)r(ccupied)g(and)g(p)r(oin)n(t)g(1)g(empt)n(y) -7 b(.)42 b(Eac)n(h)28 b(of)h(these)g(latter)g(p)r(ositions)g(could)g (b)r(e)h(skipp)r(ed)515 3222 y(b)n(y)j(mo)n(ving)f(directly)h(from)g (its)g(predecessor)e(to)j(its)f(successor,)g(yielding)g(2)2983 3192 y Fk(n)p Fb(\000)p Fh(2)3146 3222 y Fn(binary)515 3321 y(c)n(hoices.)43 b(T)-7 b(o)29 b(double)h(that)g(amoun)n(t,)g(w)n (e)g(consider)f(games)g(follo)n(wing)g(b)r(oth)h(paths.)44 b(F)-7 b(or)515 3421 y(o)r(dd)31 b Fj(n)e Fi(\025)f Fn(3,)k(w)n(e)f (can)f(mo)n(v)n(e)g(directly)h(from)g(the)g(end)h(of)f(one)f(path,)j (e.g.)47 b Fl(.XXXX)29 b Fn(to)i(the)515 3521 y(second)h(no)r(de)g Fl(O....)49 b Fn(of)33 b(the)g(other)f(path.)51 b(F)-7 b(or)32 b Fj(n)f Fn(=)g(2,)i(the)g(Theorem)e(is)i(easily)e(seen)515 3620 y(to)g(hold.)50 b(F)-7 b(or)31 b(ev)n(en)h Fj(n)e Fi(\025)g Fn(4,)i(w)n(e)g(can)f(mo)n(v)n(e)g(from)h(the)g(3rd-to-last)e (no)r(de)i(of)f(one)h(path,)515 3720 y(e.g.)52 b Fl(..XXXX)p Fn(,)30 b(to)j(the)g(skippable)f Fl(X.XXXX)p Fn(,)f(to)i(the)g(third)g (no)r(de)g Fl(.O....)50 b Fn(of)32 b(the)i(other)515 3820 y(path.)42 b(Either)29 b(case)g(giv)n(es)f(us)i(2)1537 3789 y Fk(n)p Fb(\000)p Fh(1)1686 3820 y Fi(\000)19 b Fn(1)30 b(binary)e(c)n(hoices,)h(since)h(w)n(e)f(lose)f(one)i(c)n (hoice)e(at)515 3919 y(the)i(start)f(of)h(the)g(second)f(path.)44 b(Ho)n(w)n(ev)n(er,)28 b(w)n(e)h(also)g(ha)n(v)n(e)g(a)g(c)n(hoice)g (of)h(whic)n(h)f(path)h(to)515 4019 y(follo)n(w)f(\014rst,)i(giving)e (us)h(the)h(required)e(2)1829 3989 y Fk(n)p Fb(\000)p Fh(1)1989 4019 y Fn(c)n(hoices.)43 b(The)31 b(shortest)e(game)g(is)h (reac)n(hed)515 4118 y(b)n(y)k(skipping)g(all)f(on)h(an)g(ev)n (en-sized)f(b)r(oard,)j(while)e(the)g(longest)g(game)f(is)h(reac)n(hed) f(b)n(y)515 4218 y(skipping)27 b(nothing)g(on)h(an)f(o)r(dd-sized)g(b)r (oard.)1356 b Fi(\017)515 4526 y Fo(7)134 b(Hamiltonian)47 b(games)515 4707 y Fn(The)38 b(previous)f(section)g(sho)n(w)n(ed)g(the) h(existence)g(of)g(games)f(visiting)h(a)f(large)g(fraction)515 4807 y(of)c(all)h(p)r(ositions.)54 b(The)34 b(question)f(arises)g(if)h (and)f(when)h(it)g(is)g(p)r(ossible)f(to)h(ha)n(v)n(e)e(games)515 4907 y(encompassing)22 b Fm(al)t(l)j Fj(L)p Fn($)p Fj(m;)14 b(n)p Fn($)23 b(legal)f(p)r(ositions.)36 b(Inspired)23 b(b)n(y)g(graph)f(theory)-7 b(,)24 b(w)n(e)f(call)g(suc)n(h)515 5006 y(games,)j(as)h(w)n(ell)h(as)f(the)h(b)r(oard)e(they're)i(pla)n(y) n(ed)e(on,)i Fm(Hamiltonian)p Fn(.)1905 5255 y(34)p eop end %%Page: 35 35 TeXDict begin 35 34 bop 884 2325 a @beginspecial 0 @llx 0 @lly 379 @urx 336 @ury 2551 @rwi @setspecial %%BeginDocument: leftcap.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: leftcap.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Wed Sep 28 23:35:41 2005 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 379 336 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 336 moveto 0 0 lineto 379 0 lineto 379 336 lineto closepath clip newpath -62.5 369.4 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 % Ellipse 7.500 slw n 1800 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1200 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3600 6000 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 1500 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 4200 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 5100 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 3300 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 2400 150 150 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3900 600 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4200 600 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4500 600 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 1500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 1500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 1500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 1500 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 2400 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 2400 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 2400 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 2400 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2700 3300 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6300 3300 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5700 4200 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6000 4200 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2400 4200 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 2100 4200 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 1500 5100 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3300 5100 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 5100 5100 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 6900 5100 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 4800 6000 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Ellipse n 3000 6000 24 24 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col0 s gr % Polyline n 3900 600 m 4500 600 l gs col0 s gr % Polyline n 1200 5100 m 1800 5100 l gs col0 s gr % Polyline n 3000 5100 m 3600 5100 l gs col0 s gr % Polyline n 3000 6000 m 3600 6000 l gs col0 s gr % Polyline n 2100 1500 m 2700 1500 l gs col0 s gr % Polyline n 2100 2400 m 2700 2400 l gs col0 s gr % Polyline n 2100 3300 m 2700 3300 l gs col0 s gr % Polyline n 2100 4200 m 2700 4200 l gs col0 s gr % Polyline n 4800 5100 m 5400 5100 l gs col0 s gr % Polyline n 4800 6000 m 5400 6000 l gs col0 s gr % Polyline n 6600 5100 m 7200 5100 l gs col0 s gr % Polyline n 5700 4200 m 6300 4200 l gs col0 s gr % Polyline n 5700 3300 m 6300 3300 l gs col0 s gr % Polyline n 5700 2400 m 6300 2400 l gs col0 s gr % Polyline n 5700 1500 m 6300 1500 l gs col0 s gr % Polyline gs clippath 2676 1176 m 2695 1233 l 2839 1185 l 2716 1195 l 2820 1128 l cp eoclip n 3600 900 m 2700 1200 l gs col0 s gr gr % arrowhead n 2820 1128 m 2716 1195 l 2839 1185 l col0 s % Polyline gs clippath 5704 1233 m 5723 1176 l 5579 1128 l 5684 1195 l 5560 1185 l cp eoclip n 4800 900 m 5700 1200 l gs col0 s gr gr % arrowhead n 5560 1185 m 5684 1195 l 5579 1128 l col0 s % Polyline gs clippath 2370 2115 m 2430 2115 l 2430 1963 l 2400 2083 l 2370 1963 l cp eoclip n 2400 1800 m 2400 2100 l gs col0 s gr gr % arrowhead n 2370 1963 m 2400 2083 l 2430 1963 l col0 s % Polyline gs clippath 5970 2115 m 6030 2115 l 6030 1963 l 6000 2083 l 5970 1963 l cp eoclip n 6000 1800 m 6000 2100 l gs col0 s gr gr % arrowhead n 5970 1963 m 6000 2083 l 6030 1963 l col0 s % Polyline gs clippath 5970 3015 m 6030 3015 l 6030 2863 l 6000 2983 l 5970 2863 l cp eoclip n 6000 2700 m 6000 3000 l gs col0 s gr gr % arrowhead n 5970 2863 m 6000 2983 l 6030 2863 l col0 s % Polyline gs clippath 5970 3915 m 6030 3915 l 6030 3763 l 6000 3883 l 5970 3763 l cp eoclip n 6000 3600 m 6000 3900 l gs col0 s gr gr % arrowhead n 5970 3763 m 6000 3883 l 6030 3763 l col0 s % Polyline gs clippath 2370 3915 m 2430 3915 l 2430 3763 l 2400 3883 l 2370 3763 l cp eoclip n 2400 3600 m 2400 3900 l gs col0 s gr gr % arrowhead n 2370 3763 m 2400 3883 l 2430 3763 l col0 s % Polyline gs clippath 3270 5715 m 3330 5715 l 3330 5563 l 3300 5683 l 3270 5563 l cp eoclip n 3300 5400 m 3300 5700 l gs col0 s gr gr % arrowhead n 3270 5563 m 3300 5683 l 3330 5563 l col0 s % Polyline gs clippath 5070 5715 m 5130 5715 l 5130 5563 l 5100 5683 l 5070 5563 l cp eoclip n 5100 5400 m 5100 5700 l gs col0 s gr gr % arrowhead n 5070 5563 m 5100 5683 l 5130 5563 l col0 s % Polyline gs clippath 5368 4789 m 5410 4831 l 5518 4724 l 5412 4788 l 5475 4681 l cp eoclip n 5700 4500 m 5400 4800 l gs col0 s gr gr % arrowhead n 5475 4681 m 5412 4788 l 5518 4724 l col0 s % Polyline gs clippath 6589 4831 m 6631 4789 l 6524 4681 l 6588 4788 l 6481 4724 l cp eoclip n 6300 4500 m 6600 4800 l gs col0 s gr gr % arrowhead n 6481 4724 m 6588 4788 l 6524 4681 l col0 s % Polyline gs clippath 1768 4789 m 1810 4831 l 1918 4724 l 1812 4788 l 1875 4681 l cp eoclip n 2100 4500 m 1800 4800 l gs col0 s gr gr % arrowhead n 1875 4681 m 1812 4788 l 1918 4724 l col0 s % Polyline gs clippath 2989 4831 m 3031 4789 l 2924 4681 l 2988 4788 l 2881 4724 l cp eoclip n 2700 4500 m 3000 4800 l gs col0 s gr gr % arrowhead n 2881 4724 m 2988 4788 l 2924 4681 l col0 s % Polyline gs clippath 2370 3015 m 2430 3015 l 2430 2863 l 2400 2983 l 2370 2863 l cp eoclip n 2400 2700 m 2400 3000 l gs col0 s gr gr % arrowhead n 2370 2863 m 2400 2983 l 2430 2863 l col0 s /Times-Roman ff 180.00 scf sf 3870 975 m gs 1 -1 sc (0) col0 sh gr /Times-Roman ff 180.00 scf sf 4470 975 m gs 1 -1 sc (2) col0 sh gr /Times-Roman ff 180.00 scf sf 4170 975 m gs 1 -1 sc (1) col0 sh gr % here ends figure; % % here starts figure with depth 40 % Ellipse 7.500 slw n 3000 5100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2400 2400 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2100 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 2400 3300 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 5100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5100 6000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5400 6000 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6600 5100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 7200 5100 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 6300 4200 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % Ellipse n 5700 1500 150 150 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col0 s gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 1295 2590 a Fn(Figure)27 b(15:)36 b(Left)28 b(capturing)f(gametree.)515 2847 y Fg(Theorem)32 b(10)41 b Fm(Only)30 b(one-dimensional)h(b)l(o)l(ar)l(ds)f(c)l(an)g(b)l(e)g (Hamiltonian.)639 3020 y Fg(Pr)n(oof.)35 b Fn(Consider)21 b(a)g(2)7 b Fi(\002)g Fn(2)21 b(square)g(on)h(an)f Fj(m)7 b Fi(\002)g Fj(n)22 b Fn(b)r(oard)f(with)i Fj(m;)14 b(n)22 b Fi(\025)h Fn(2.)35 b(There)21 b(are)515 3119 y(a)h(total)h(of)f(10)g (p)r(ositions)g(with)i(all)e(p)r(oin)n(ts)h(outside)f(the)h(square)f(b) r(eing)h(blac)n(k,)g(and)f(ha)n(ving)515 3219 y(in)k(the)h(square)e (either)h(t)n(w)n(o)f(opp)r(osite)h(blac)n(k)g(stones)g(or)f(t)n(w)n(o) g(adjacen)n(t)h(blac)n(k)g(stones)f(and)515 3318 y(one)i(white)i (stone.)37 b(Y)-7 b(et)28 b(there)g(are)f(only)g(a)h(total)g(of)f(8)h (p)r(ositions)f(where)h(they)g(can)f(mo)n(v)n(e)515 3418 y(to,)33 b(namely)e(4)h(p)r(ositions)g(with)g(ev)n(ery)f(p)r(oin)n(t)h (except)g(one)f(in)i(the)f(square)f(b)r(eing)h(blac)n(k,)515 3518 y(plus)27 b(the)h(4)g(p)r(ositions)f(with)h(only)f(t)n(w)n(o)g (adjacen)n(t)g(white)h(stones)f(in)h(the)g(square.)251 b Fi(\017)639 3653 y Fn(The)30 b(question)f(remains)f(whic)n(h)i (one-dimensional)e(b)r(oards)g(are)g(hamiltonian.)42 b(This)515 3753 y(means)29 b(that)i(the)f(graph)f Fj(G)p Fn($1)p Fj(;)14 b(n)p Fn($)31 b(m)n(ust)f(ha)n(v)n(e)f(a)h(directed)g (Hamiltonian)g(path)g(starting)515 3852 y(at)24 b(the)h(empt)n(y)g(p)r (osition.)36 b(While)25 b Fj(G)p Fn($1)p Fj(;)14 b Fn(1$)25 b(trivially)f(satis\014es)g(this,)i(the)f(graph)e Fj(G)p Fn($1)p Fj(;)14 b Fn(2$)25 b(in)515 3952 y(Figure)i(2)g(do)r(es)g (not,)h(since)f(remo)n(ving)f(the)i(starting)f(no)r(de)h(disconnects)f (it.)639 4052 y(One)33 b(su\016cien)n(t)h(condition)f(for)f(suc)n(h)h (a)g(path)g(is)h(for)e(the)i(graph)e(min)n(us)h(the)h(empt)n(y)515 4151 y(no)r(de)27 b(to)g(ha)n(v)n(e)f(a)g(directed)h(Hamiltonian)g (cycle,)g(since)g(w)n(e)f(can)h(break)f(the)h(cycle)g(at)g(an)n(y)515 4251 y(1-stone)i(p)r(osition)i(and)f(insert)h(the)g(empt)n(y)g(no)r(de) g(there.)46 b(An)31 b(ev)n(en)f(stronger)f(condition)515 4350 y(is)24 b(to)g(ha)n(v)n(e)f(eac)n(h)g(p)r(osition)h(opp)r(osite)g (its)g(rev)n(ersed)f(color)f(v)n(ersion)h(on)h(the)g(cycle.)36 b(It)24 b(turns)515 4450 y(out)33 b(that)h(all)f(cycles)g(on)h Fj(G)p Fn($1)p Fj(;)14 b Fn(3$)33 b(and)h Fj(G)p Fn($1)p Fj(;)14 b Fn(4$)33 b(are)g(of)g(this)h(form;)i(it)e(su\016ces)g(to)f (sho)n(w)515 4550 y(only)d(half)i(of)f(the)g(cycle,)h(from)e(whic)n(h)h (the)h(other)e(half)i(can)e(b)r(e)i(obtained)e(b)n(y)h(rev)n(ersing)515 4649 y(colors:)515 4807 y Fl(O..)86 b(O.O)g(.X.)g(XX.)f(..O)h(X.O)g (.OO)515 5006 y(O...)f(O..O)h(O.X.)f(.XX.)h(XXX.)f(...O)h(X..O)f(X.X.)h (X.XX)f(.O..)1905 5255 y Fn(35)p eop end %%Page: 36 36 TeXDict begin 36 35 bop 1474 1130 a @beginspecial 0 @llx 0 @lly 137 @urx 100 @ury 1133 @rwi @setspecial %%BeginDocument: gadget.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: gadget.fig %%Creator: fig2dev Version 3.2 Patchlevel 4 %%CreationDate: Fri Dec 9 19:12:27 2005 %%For: tromp@capella.ins.cwi.nl (John Tromp) %%BoundingBox: 0 0 137 100 %%Magnification: 1.0000 %%EndComments /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save newpath 0 100 moveto 0 0 lineto 137 0 lineto 137 100 lineto closepath clip newpath -18.0 139.5 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /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 0 slj 0 slc 0.06000 0.06000 sc % % Fig objects follow % % % here starts figure with depth 50 /Times-Roman ff 360.00 scf sf 2025 1050 m gs 1 -1 sc (v) col0 sh gr /Times-Roman ff 360.00 scf sf 2025 2100 m gs 1 -1 sc (v) col0 sh gr /Times-Roman ff 240.00 scf sf 2250 1875 m gs 1 -1 sc (out) col0 sh gr /Times-Roman ff 240.00 scf sf 2250 2175 m gs 1 -1 sc (1) col0 sh gr /Times-Roman ff 240.00 scf sf 2250 825 m gs 1 -1 sc (in) col0 sh gr /Times-Roman ff 240.00 scf sf 2250 1125 m gs 1 -1 sc (1) col0 sh gr % Ellipse 7.500 slw n 900 900 75 75 0 360 DrawEllipse gs col0 s gr % Ellipse n 1800 900 75 75 0 360 DrawEllipse gs col0 s gr % Ellipse n 1800 2100 75 75 0 360 DrawEllipse gs col0 s gr % Ellipse n 900 2100 75 75 0 360 DrawEllipse gs col0 s gr % Polyline n 975 900 m 1725 900 l gs col0 s gr % Polyline n 1800 975 m 1800 2025 l gs col0 s gr % Polyline n 975 2100 m 1725 2100 l gs col0 s gr % Polyline n 900 975 m 900 2025 l gs col0 s gr /Times-Roman ff 360.00 scf sf 300 1050 m gs 1 -1 sc (v) col0 sh gr /Times-Roman ff 360.00 scf sf 300 2100 m gs 1 -1 sc (v) col0 sh gr /Times-Roman ff 240.00 scf sf 525 825 m gs 1 -1 sc (in) col0 sh gr /Times-Roman ff 240.00 scf sf 525 1875 m gs 1 -1 sc (out) col0 sh gr /Times-Roman ff 240.00 scf sf 525 1125 m gs 1 -1 sc (0) col0 sh gr /Times-Roman ff 240.00 scf sf 525 2175 m gs 1 -1 sc (0) col0 sh gr /Times-Roman ff 240.00 scf sf 1275 825 m gs 1 -1 sc (0) col0 sh gr /Times-Roman ff 240.00 scf sf 1275 2325 m gs 1 -1 sc (0) col0 sh gr /Times-Roman ff 240.00 scf sf 1875 1500 m gs 1 -1 sc (1) col0 sh gr /Times-Roman ff 240.00 scf sf 975 1500 m gs 1 -1 sc (1) col0 sh gr % here ends figure; $F2psEnd rs showpage %%EndDocument @endspecial 1568 1395 a Fn(Figure)27 b(16:)36 b(A)28 b(gadget.)515 1635 y Fl(.O.X)85 b(OO.X)h(..XX)f(O.XX)h(OO..)f(OO.O)h (..X.)f(.OX.)h(.O.O)f(.OOO)639 1775 y Fn(F)-7 b(or)33 b(larger)f(graphs)g(it)i(b)r(ecomes)f(imp)r(ossible)g(to)h(\014nd)g (suc)n(h)f(cycles)g(man)n(ually)-7 b(,)34 b(and)515 1874 y(one)e(has)h(to)f(turn)h(to)g(to)r(ols)g(suc)n(h)f(as)g(Concorde)g([5) o(],)j(for)d(solving)g(T)-7 b(ra)n(v)n(eling)31 b(Salesman)515 1974 y(Problems.)639 2073 y(Here's)26 b(ho)n(w)g(w)n(e)g(translate)g (our)f(directed)i(color)e(symmetric)h(cycle)g(problem)g(in)n(to)g(an) 515 2173 y(undirected)h(TSP)-7 b(.)27 b(F)-7 b(or)26 b(eac)n(h)h(non-empt)n(y)f(no)r(de)h Fj(v)g Fi(2)c Fj(G)p Fn($)p Fj(m;)14 b(n)p Fn($)28 b(whose)e(leftmost)h(stone)g(is)515 2273 y(white,)22 b(w)n(e)e(create)g(the)h(the)g(4)f(no)r(des)g(and)h(4) f(edges)g(sho)n(wn)g(in)g(Figure)g(16.)34 b(Then,)22 b(for)e(ev)n(ery)515 2383 y(mo)n(v)n(e)29 b($)p Fj(u;)14 b(v)s Fn($)30 b(where)f Fj(u)p Fn('s)h(leftmost)g(stone)g(is)g(white,) h(w)n(e)f(create)f(edges)g Fi(f)p Fj(u)2897 2353 y Fn(out)2897 2403 y Fh(0)3020 2383 y Fj(;)14 b(v)3100 2353 y Fn(in)3097 2403 y Fh(0)3174 2383 y Fi(g)29 b Fn(and)515 2497 y Fi(f)p Fj(u)605 2467 y Fn(out)605 2518 y Fh(1)728 2497 y Fj(;)14 b(v)808 2467 y Fn(in)805 2518 y Fh(1)881 2497 y Fi(g)26 b Fn(if)i Fj(v)s Fn('s)e(leftmost)h(stone)g(is)f(white,)h(or)f(edges)g Fi(f)p Fj(u)2429 2467 y Fn(out)2429 2518 y Fh(0)2552 2497 y Fj(;)14 b(w)2650 2467 y Fn(in)2648 2518 y Fh(1)2724 2497 y Fi(g)26 b Fn(and)g Fi(f)p Fj(u)3042 2467 y Fn(out)3042 2518 y Fh(1)3166 2497 y Fj(;)14 b(w)3264 2467 y Fn(in)3262 2518 y Fh(0)3337 2497 y Fi(g)515 2597 y Fn(if)27 b Fj(v)s Fn('s)f(leftmost)h(stone)f(is)g(blac)n(k)g(and)g Fj(w)j Fn(is)d(its)h(color)d(rev)n(ersed)h(v)n(ersion.)35 b(All)27 b(these)f(in)n(tra-)515 2697 y(gadget)31 b(edges)g(ha)n(v)n(e)g(cost)h (2.)50 b(Finally)-7 b(,)34 b(w)n(e)d(cross)g(the)i(pair)e(of)h(1-edges) f(in)h(one)g(gadget.)515 2796 y(Call)20 b(the)i(resulting)e(w)n(eigh)n (ted)h(undirected)g(graph)f(on)h(4$)p Fj(L)p Fn(\()p Fj(m;)14 b(n)p Fn($)5 b Fi(\000)g Fn(1\))p Fj(=)p Fn(2)20 b(no)r(des)h Fj(T)12 b Fn($)p Fj(m;)i(n)p Fn($.)515 2946 y Fg(Lemma)31 b(18)41 b Fj(G)p Fn($)p Fj(m;)14 b(n)p Fn($)33 b Fm(minus)f(the)g(empty)h(no)l(de)f(has)h(a)g(c)l(olor) g(symmetric)g(cycle)g(if)g(and)515 3046 y(only)d(if)h Fj(T)12 b Fn($)p Fj(m;)i(n)p Fn($)29 b Fm(has)h(a)g(cycle)h(of)g(c)l (ost)e Fn(3$)p Fj(L)p Fn(\()p Fj(m;)14 b(n)p Fn($)k Fi(\000)g Fn(1\))p Fj(=)p Fn(2)p Fm(.)639 3196 y Fg(Pr)n(oof.)66 b Fn(Eac)n(h)36 b(half)h(of)g(a)g(color)f(symmetric)h(cycle)g(in)h Fj(G)p Fn($)p Fj(m;)14 b(n)p Fn($)38 b(corresp)r(onds)d(to)515 3296 y(a)c(cycle)h(in)g Fj(T)12 b Fn($)p Fj(m;)i(n)p Fn($)31 b(in)h(whic)n(h)f(eac)n(h)g(in)n(ter-gadget)f(2-edge)h(is)h (follo)n(w)n(ed)e(b)n(y)i(the)g(top)g(0-)515 3395 y(edge,)j(a)f(v)n (ertical)f(1)p Fi(\000)g Fn(edge,)i(and)f(\014nally)g(the)g(b)r(ottom)h (0)e(edge.)56 b(The)34 b(crossed)f(pair)g(of)515 3495 y(1-edges)d(ensures)g(prop)r(er)h(completion)g(of)h(the)g(cycle.)48 b(The)31 b(total)h(cost)f(of)g(this)h(cycle)f(is)515 3595 y(2)15 b(+)h(0)f(+)h(1)f(+)h(0)23 b(=)f(3)k(p)r(er)g(gadget)g(as)f (claimed.)37 b(If)27 b(w)n(e)f(attribute)g(to)g(eac)n(h)g(gadget)f (half)i(the)515 3694 y(cost)d(of)h(all)g(adjacen)n(t)g(tra)n(v)n(ersed) e(2-edges)g(plus)i(the)h(cost)e(of)h(its)h(tra)n(v)n(ersed)c(1-edges,)j (then)515 3794 y(w)n(e)30 b(see)f(that)i(only)f(the)g(ab)r(o)n(v)n(e)f (tra)n(v)n(ersal)f(ac)n(hiev)n(es)h(a)g(cost)h(of)g(3.)45 b(Th)n(us)30 b(a)f(cycle)h(of)h(cost)515 3893 y(3$)p Fj(L)p Fn(\()p Fj(m;)14 b(n)p Fn($)i Fi(\000)g Fn(1\))p Fj(=)p Fn(2)25 b(tra)n(v)n(erses)f(eac)n(h)i(gadget)f(exactly)h(once,)g (in)h(an)f(order)g(whic)n(h)g(yields)g(a)515 3993 y(color)g(symmetric)h (cycle)g(in)h Fj(G)p Fn($)p Fj(m;)14 b(n)p Fn($.)1601 b Fi(\017)639 4128 y Fn(Using)28 b(this)g(lemma,)f(w)n(e)g(found)h(the) g(follo)n(wing)f(1x5)f(cycle:)515 4268 y Fl(O....)85 b(O...O)g(.X..O)g(.XO.O)g(O.O.O)g(O.OOO)g(.X...)g(.X.O.)h(XX.O.)515 4368 y(..OO.)f(O.OO.)g(.XOO.)g(.X..X)g(XX..X)g(..O.X)g(O.O.X)g(.XO.X)h (.X.XX)515 4468 y(XX.XX)f(..O..)g(.XO..)g(O.O..)g(O.OX.)g(.X.X.)g (XX.X.)g(..OX.)h(X.OX.)515 4567 y(.OOX.)f(X..X.)g(X..XX)g(X.O..)g (X.O.X)g(.OO.X)g(OOO.X)g(...XX)h(.O.XX)515 4667 y(.OO..)f(OOO..)g (OOOO.)g(....X)g(O...X)g(O..XX)g(OO.XX)g(..XXX)h(O.XXX)515 4767 y(OO...)f(OO..X)g(..X.X)g(O.X.X)g(.XX.X)g(XXX.X)g(...O.)g(X..O.)h (X.OO.)515 4866 y(.OOO.)f(.OOOO)515 5006 y Fn(as)27 b(w)n(ell)g(as)g (1x6)f(and)i(1x7)e(symmetric)i(cycles)f(whic)n(h)g(are)g(to)r(o)g(long) g(to)g(sho)n(w)g(here.)1905 5255 y(36)p eop end %%Page: 37 37 TeXDict begin 37 36 bop 515 523 a Fo(8)134 b(Op)t(en)45 b(problems)515 705 y Fn(Computing)20 b Fj(L)p Fn($19)p Fj(;)14 b Fn(19$,)20 b(the)h(n)n(um)n(b)r(er)g(of)f(legal)g(p)r (ositions)g(on)g(a)h(standard)e(size)i(Go)f(b)r(oard,)515 805 y(remains)d(the)i(main)g(op)r(en)g(problem.)33 b(The)19 b(algorithm)e(w)n(e)h(presen)n(t)g(should)h(su\016ce)f(to)h(com-)515 904 y(pute)26 b(it)h(b)n(y)e(the)i(end)f(of)g(2015.)34 b(Although)26 b(a)g(more)f(space)g(e\016cien)n(t)h(algorithm)f(w)n (ould)h(b)r(e)515 1004 y(w)n(elcome,)c(the)h(strong)d(correlation)g(b)r (et)n(w)n(een)j(minim)n(um)f(recurrence)f(order)f(and)i(n)n(um)n(b)r (er)515 1103 y(of)27 b(state)h(classes)e(suggests)g(that)i(the)g (curren)n(t)f(algorithm)f(is)i(close)f(to)g(optimal.)639 1203 y(Theorem)i(6)g(and)g(its)g(corollaries)e(are)h(con)n(tingen)n(t)g (on)h(Conjecture)g(1.)42 b(Pro)n(ving)27 b(this)515 1303 y(w)n(ould)e(b)r(e)h(imp)r(ortan)n(t)g(but)g(migh)n(t)g(require)f(a)g (deep)h(understanding)g(of)g(the)g(structure)f(of)515 1402 y(the)j(b)r(order)e(state)i(graphs)e(and)h(their)h(sp)r(ectral)f (prop)r(erties.)639 1502 y(Game)39 b(graphs)e(are)h(an)h(in)n (teresting)f(ob)5 b(ject)38 b(of)h(study)g(for)f(graph)g(theorists.)70 b(W)-7 b(e)515 1602 y(conjecture)27 b(that)h(all)f Fj(G)p Fn($1)p Fj(;)14 b(n)p Fn($)28 b(with)g Fj(n)23 b(>)g Fn(2)k(ha)n(v)n(e)f(color)g(symmetric)i(cycles.)639 1701 y(Finally)-7 b(,)26 b(a)e(signi\014can)n(t)h(gap)f(remains)g(in)h(the)h (double)f(exp)r(onen)n(t)g(b)r(et)n(w)n(een)g(the)g(upp)r(er)515 1801 y(and)i(lo)n(w)n(er)f(b)r(ound)i(on)f(the)h(n)n(um)n(b)r(er)g(of)f (games.)515 2075 y Fo(9)134 b(Ac)l(kno)l(wledgemen)l(ts)515 2257 y Fn(W)-7 b(e)25 b(are)e(indebted)j(to)e(Martin)g(M)r(\177)-44 b(uller)25 b(for)f(suggesting)f(publication)h(of)h(these)g(results,)f (to)515 2357 y(Piet)32 b(Hut)h(for)g(extensiv)n(e)e(commen)n(tary)h(on) g(preliminary)g(v)n(ersions,)g(and)g(esp)r(ecially)g(to)515 2456 y(Mic)n(hal)19 b(Kouc)n(k)q(\023)-43 b(y)19 b(for)g(the)i(elegan)n (t)e(idea)g(of)h(using)g(Chinese)g(Remaindering)f(and)h(extensiv)n(e) 515 2556 y(help)26 b(with)h(dev)n(eloping)e(and)h(running)g(the)g (\014le-based)g(implemen)n(tations)g(that)g(pro)n(vided)515 2656 y(the)i(coun)n(ts)f(for)g Fj(n)c Fn(=)f(14)14 b Fj(:)g(:)g(:)f Fn(17.)515 2930 y Fo(References)556 3112 y Fn([1])41 b(R.)f(L.)f(Graham,)h(D.)g(E.)f(Kn)n(uth)f(and)h(O.)g(P)n (atashnik,)h(Concrete)e(Mathematics,)685 3212 y(Addison-W)-7 b(esley)g(,)28 b(2nd)f(Ed.,)h(1994.)556 3378 y([2])41 b Fl(http://en.wikiped)o(ia.)o(or)o(g/)o(wik)o(i/)o(Go)p 2048 3378 27 4 v 25 w($board)p 2337 3378 V 29 w(game$)556 3544 y Fn([3])g Fl(http://tromp.gith)o(ub.)o(io)o(/g)o(o.h)o(tm)o(l)556 3710 y Fn([4])g Fl(http://tromp.gith)o(ub.)o(io)o(/c)o(hes)o(s/)o(che)o (ss)o(.h)o(tml)556 3876 y Fn([5])g Fl(http://www.tsp.ga)o(tec)o(h.)o (ed)o(u/c)o(on)o(cor)o(de)o(.h)o(tml)556 4042 y Fn([6])g Fl(http://www-neos.m)o(cs.)o(an)o(l.)o(gov)o(/n)o(eos)o(/s)o(ol)o(ver)o (s/)o(co:)o(co)o(nco)o(rd)o(e/)o(TSP)o(.h)o(tml)556 4208 y Fn([7])g(D.)28 b(W)-7 b(olfe,)28 b(Go)f(endgames)g(are)f(PSP)-7 b(A)n(CE-hard,)25 b(in)j(More)e(Games)h(of)g(No)g(Chance,)685 4308 y(MSRI)h(Publications)f(V)-7 b(olume)28 b(42,)f(ed.)g(R.)h(J.)g (No)n(w)n(ak)n(o)n(wski,)c(2002,)i(125{136.)556 4474 y([8])41 b(D.)33 b(Lic)n(h)n(tenstein)e(and)h(M.)g(Sipser,)g(GO)g(is)f (P)n(olynomial-Space)e(Hard,)k(Journal)d(of)685 4573 y(the)e(A)n(CM,)g(V)-7 b(ol.)28 b Fc(27)p Fn(,)f(No.)h(2,)f($April)h (1980$)e(393{401.)556 4739 y([9])41 b(P)-7 b(.)26 b(Chen,)g(Heuristic) g(Sampling:)36 b(A)26 b(Metho)r(d)g(for)g(Predicting)e(the)j(P)n (erformance)c(of)685 4839 y(T)-7 b(ree)27 b(Searc)n(hing)g(Programs,)d (SIAM)k(J.)g(Comput.)g(21$2$,)f(1992,)e(295{315.)1905 5255 y(37)p eop end %%Page: 38 38 TeXDict begin 38 37 bop 515 523 a Fn([10])40 b(J.)23 b(M.)g(Robson,)g(The)f(Complexit)n(y)g(of)h(Go,)g(Pro)r(c.)f(IFIP)g ($In)n(ternational)g(F)-7 b(ederation)685 623 y(of)28 b(Information)f(Pro)r(cessing$,)f(1983,)f(413{417.)515 789 y([11])40 b(R.)28 b(E.)f(Blah)n(ut,)g(Theory)f(and)h(practice)f(of) h(error)f(con)n(trol)f(co)r(des,)i(Addison-W)-7 b(esley)g(,)685 888 y(1983.)515 1054 y([12])40 b(Gerhard)27 b(W)-7 b(o)r(eginger,)26 b(p)r(ersonal)h(comm)n(unication.)515 1220 y([13])40 b(J.)e(Dean)g(and)g(S.)h(Ghema)n(w)n(at,)h(MapReduce:)57 b(Simpli\014ed)39 b(Data)f(Pro)r(cessing)e(on)685 1320 y(Large)h(Clusters,)j(Pro)r(c.)d(OSDI'04)g($Sixth)i(Symp)r(osium)f(on) g(Op)r(erating)f(System)685 1420 y(Design)28 b(and)f(Implemen)n (tation$,)h(2004,)e(137{150.)515 1586 y([14])40 b(M.)22 b(Cr^)-42 b(a)n(\030)-35 b(smaru)19 b(and)j(J.)f(T)-7 b(romp,)22 b(Ladders)e(are)h(PSP)-7 b(A)n(CE-complete,)20 b(Pro)r(c.)h(2nd)g(In)n(t.)685 1685 y(Conf.)28 b(Computers)f(and)h (Games,)f(Springer-V)-7 b(erlag,)25 b(2000,)h(241{249.)515 1851 y([15])40 b(S.)d(Edelk)-5 b(amp)37 b(and)g(P)-7 b(.)36 b(Kissmann,)i(Sym)n(b)r(olic)f(Classi\014cation)e(of)i(General)f (Tw)n(o-)685 1951 y(Pla)n(y)n(er)25 b(Games,)h(Pro)r(c.)g(31st)g(ann)n (ual)g(German)g(conference)g(on)h(Adv)-5 b(ances)26 b(in)h(Arti-)685 2051 y(\014cial)h(In)n(telligence,)f(2008,)f(185{192.)1905 5255 y(38)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF

RetroSearch is an open source project built by @garambo | Open a GitHub Issue

Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo

HTML: 3.2 | Encoding: UTF-8 | Version: 0.7.4