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%%CreationDate: 1991 Aug 15 07:22:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
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/FontName /CMSY8 def
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/FontMatrix [0.001 0 0 0.001 0 0] readonly def
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTT10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
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/FontName /CMTT10 def
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dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h 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 121 /y put
dup 122 /z put
readonly def
/FontBBox{-4 -235 731 800}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 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
readonly def
/FontBBox{-301 -250 1164 946}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTT12
%!PS-AdobeFont-1.1: CMTT12 1.0
%%CreationDate: 1991 Aug 20 16:45:46
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTT12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch true def
end readonly def
/FontName /CMTT12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 40 /parenleft put
dup 41 /parenright put
dup 65 /A put
dup 66 /B put
dup 76 /L put
dup 77 /M put
dup 84 /T put
dup 97 /a put
dup 100 /d put
dup 103 /g put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 117 /u put
readonly def
/FontBBox{-1 -234 524 695}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR9
%!PS-AdobeFont-1.1: CMR9 1.0
%%CreationDate: 1991 Aug 20 16:39:59
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 19 /acute put
dup 44 /comma 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 71 /G put
dup 72 /H put
dup 73 /I 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 89 /Y put
dup 90 /Z put
readonly def
/FontBBox{-39 -250 1036 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTI10
%!PS-AdobeFont-1.1: CMTI10 1.00B
%%CreationDate: 1992 Feb 19 19:56:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 12 /fi put
dup 19 /acute put
dup 39 /quoteright put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 63 /question put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 69 /E put
dup 70 /F put
dup 72 /H put
dup 76 /L put
dup 77 /M put
dup 81 /Q put
dup 83 /S 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 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
/FontBBox{-163 -250 1146 969}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMEX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 84 /intersectiontext put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTI12
%!PS-AdobeFont-1.1: CMTI12 1.0
%%CreationDate: 1991 Aug 18 21:06:53
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 12 /fi put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 105 /i 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 121 /y put
readonly def
/FontBBox{-36 -251 1103 750}readonly def
currentdict end
currentfile eexec
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%%CreationDate: 1993 Sep 17 11:10:37
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSBM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSBM10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
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dup 82 /R put
dup 83 /S put
readonly def
/FontBBox{-55 -420 2343 920}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 100 /d put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 110 /n put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 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 61 /equal put
dup 101 /e put
dup 110 /n put
dup 119 /w put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 25 /pi put
dup 26 /rho put
dup 58 /period put
dup 59 /comma put
dup 61 /slash put
dup 62 /greater put
dup 65 /A put
dup 70 /F put
dup 79 /O put
dup 83 /S put
dup 98 /b put
dup 100 /d put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 110 /n put
dup 112 /p put
dup 116 /t put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 126 /vector put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMCSC10
%!PS-AdobeFont-1.1: CMCSC10 1.0
%%CreationDate: 1991 Aug 18 17:46:49
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMCSC10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMCSC10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 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 54 /six put
dup 55 /seven put
dup 56 /eight 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 75 /K 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 86 /V 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 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
dup 122 /z put
readonly def
/FontBBox{14 -250 1077 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 2 /Theta put
dup 11 /ff put
dup 12 /fi put
dup 13 /fl put
dup 14 /ffi put
dup 19 /acute put
dup 33 /exclam put
dup 34 /quotedblright put
dup 37 /percent put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright 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 63 /question 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 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 87 /W put
dup 90 /Z put
dup 91 /bracketleft put
dup 92 /quotedblleft put
dup 93 /bracketright 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
readonly def
/FontBBox{-34 -251 988 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 14 /ffi put
dup 19 /acute put
dup 20 /caron 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 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 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /bracketleft put
dup 93 /bracketright 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 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 126 /tilde put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX12
%!PS-AdobeFont-1.1: CMBX12 1.0
%%CreationDate: 1991 Aug 20 16:34:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 1 /Delta put
dup 13 /fl put
dup 19 /acute put
dup 39 /quoteright 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 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 58 /colon 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 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 89 /Y 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 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
dup 122 /z put
readonly def
/FontBBox{-53 -251 1139 750}readonly def
currentdict end
currentfile eexec
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5181 3192 mt 5131 3242 L
DA
gs 741 350 4416 3803 rc
DD
c10
736 -560 736 -454 736 -411 736 -380 736 -335 735 -302 741 4048 7 MP stroke
gr

c10
DD
SO
41 71 -82 0 41 -71 741 4095 4 MP
DP
41 71 -82 0 41 -71 1476 3793 4 MP
DP
41 71 -82 0 41 -71 2212 3458 4 MP
DP
41 71 -82 0 41 -71 2948 3078 4 MP
DP
41 71 -82 0 41 -71 3684 2667 4 MP
DP
41 71 -82 0 41 -71 4420 2213 4 MP
DP
41 71 -82 0 41 -71 5156 1653 4 MP
DP
DD
gs 741 350 4416 3803 rc
SO
0 sg
149 -636 736 -1587 735 -831 741 3404 4 MP stroke
gr

0 sg
SO
-71 41 0 -82 71 41 694 3404 4 MP
DP
-71 41 0 -82 71 41 1429 2573 4 MP
DP
-71 41 0 -82 71 41 2165 986 4 MP
DP
gs 741 350 4416 3803 rc
gr

2370 4440 mt 
(Dimension \(log scale\)) s
 491 2748 mt  -90 rotate
(log\(iteration count\)) s
90 rotate
1391  255 mt 
(Average iteration count vs. dimension for random problems) s
 724 4195 mt 
( ) s
5140  392 mt 
( ) s
1 sg
0 1064 652 0 0 -1064 800 1474 4 MP
PP
-652 0 0 1064 652 0 0 -1064 800 1474 5 MP stroke
4 w
DO
SO
6 w
0 sg
 800 1474 mt 1452 1474 L
 800  410 mt 1452  410 L
 800 1474 mt  800  410 L
1452 1474 mt 1452  410 L
 800 1474 mt 1452 1474 L
 800 1474 mt  800  410 L
 800 1474 mt 1452 1474 L
 800  410 mt 1452  410 L
 800 1474 mt  800  410 L
1452 1474 mt 1452  410 L
1266  545 mt 
(A1) s
gs 800 410 653 1065 rc
c8
358 0 871 502 2 MP stroke
gs 977 429 147 147 rc
1025  477 mt 1075  527 L
1075  477 mt 1025  527 L
gr

gr

c8
0 sg
1266  691 mt 
(A2) s
gs 800 410 653 1065 rc
DA
c9
358 0 871 649 2 MP stroke
SO
gs 977 576 147 147 rc
  36   36 1050  649 FO
gr

gr

c9
0 sg
1266  838 mt 
(A3) s
gs 800 410 653 1065 rc
c10
358 0 871 795 2 MP stroke
gs 977 722 147 147 rc
1014  795 mt 1086  795 L
1050  759 mt 1050  831 L
gr

gr

c10
0 sg
1266  985 mt 
(A4) s
gs 800 410 653 1065 rc
DA
c11
358 0 871 942 2 MP stroke
SO
gs 977 869 147 147 rc
0 -58 -58 0 0 58 58 0 1021 913 5 MP
DP
gr

gr

c11
0 sg
1266 1131 mt 
(A5) s
gs 800 410 653 1065 rc
DA
c12
358 0 871 1088 2 MP stroke
SO
gs 977 1015 147 147 rc
1014 1088 mt 1086 1088 L
1050 1052 mt 1050 1124 L
1025 1063 mt 1075 1113 L
1075 1063 mt 1025 1113 L
gr

gr

c12
0 sg
1266 1278 mt 
(A6) s
gs 800 410 653 1065 rc
DD
c10
358 0 871 1234 2 MP stroke
SO
gs 977 1161 147 147 rc
41 71 -82 0 41 -71 1050 1281 4 MP
DP
gr

gr

c10
0 sg
1266 1424 mt 
(A7) s
gs 800 410 653 1065 rc
358 0 871 1381 2 MP stroke
gs 977 1308 147 147 rc
-71 41 0 -82 71 41 1003 1381 4 MP
DP
gr

gr


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 @endspecial 1360 5038 a(Figure)38 b(1.)48 b Fp(Results)34
b(for)e Fs(G1)p Fp(.)p eop end
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/c2 { 0.900000 0.000000 0.000000 sr} bdef
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/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
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1 j
1 sg
   0    0 5698 4666 rf
6 w
0 3803 4415 0 0 -3803 741 4152 4 MP
PP
-4415 0 0 3803 4415 0 0 -3803 741 4152 5 MP stroke
4 w
DO
SO
6 w
0 sg
 741 4152 mt 5156 4152 L
 741  349 mt 5156  349 L
 741 4152 mt  741  349 L
5156 4152 mt 5156  349 L
 741 4152 mt 5156 4152 L
 741 4152 mt  741  349 L
 741 4152 mt  741 4107 L
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 708 4297 mt 
(3) s
1476 4152 mt 1476 4107 L
1476  350 mt 1476  394 L
1443 4297 mt 
(6) s
2212 4152 mt 2212 4107 L
2212  350 mt 2212  394 L
2146 4297 mt 
(12) s
2948 4152 mt 2948 4107 L
2948  350 mt 2948  394 L
2882 4297 mt 
(24) s
3684 4152 mt 3684 4107 L
3684  350 mt 3684  394 L
3618 4297 mt 
(48) s
4420 4152 mt 4420 4107 L
4420  350 mt 4420  394 L
4354 4297 mt 
(96) s
5156 4152 mt 5156 4107 L
5156  350 mt 5156  394 L
5056 4297 mt 
(192) s
 741 4152 mt  785 4152 L
5156 4152 mt 5111 4152 L
 640 4196 mt 
(0) s
 741 3771 mt  785 3771 L
5156 3771 mt 5111 3771 L
 640 3815 mt 
(1) s
 741 3391 mt  785 3391 L
5156 3391 mt 5111 3391 L
 640 3435 mt 
(2) s
 741 3011 mt  785 3011 L
5156 3011 mt 5111 3011 L
 640 3055 mt 
(3) s
 741 2631 mt  785 2631 L
5156 2631 mt 5111 2631 L
 640 2675 mt 
(4) s
 741 2251 mt  785 2251 L
5156 2251 mt 5111 2251 L
 640 2295 mt 
(5) s
 741 1870 mt  785 1870 L
5156 1870 mt 5111 1870 L
 640 1914 mt 
(6) s
 741 1490 mt  785 1490 L
5156 1490 mt 5111 1490 L
 640 1534 mt 
(7) s
 741 1110 mt  785 1110 L
5156 1110 mt 5111 1110 L
 640 1154 mt 
(8) s
 741  730 mt  785  730 L
5156  730 mt 5111  730 L
 640  774 mt 
(9) s
 741  350 mt  785  350 L
5156  350 mt 5111  350 L
 573  394 mt 
(10) s
 741 4152 mt 5156 4152 L
 741  349 mt 5156  349 L
 741 4152 mt  741  349 L
5156 4152 mt 5156  349 L
gs 741 350 4416 3803 rc
/c8 { 0.000000 0.000000 1.000000 sr} bdef
c8
736 -231 736 -226 736 -247 736 -263 735 -282 741 4026 6 MP stroke
gr

c8
 716 4001 mt  766 4051 L
 766 4001 mt  716 4051 L
1451 3719 mt 1501 3769 L
1501 3719 mt 1451 3769 L
2187 3456 mt 2237 3506 L
2237 3456 mt 2187 3506 L
2923 3209 mt 2973 3259 L
2973 3209 mt 2923 3259 L
3659 2983 mt 3709 3033 L
3709 2983 mt 3659 3033 L
4395 2752 mt 4445 2802 L
4445 2752 mt 4395 2802 L
gs 741 350 4416 3803 rc
DA
/c9 { 0.000000 0.500000 0.000000 sr} bdef
c9
736 -254 736 -255 736 -247 736 -248 736 -257 735 -421 741 3495 7 MP stroke
gr

c9
DA
SO
  36   36  741 3495 FO
  36   36 1476 3074 FO
  36   36 2212 2817 FO
  36   36 2948 2569 FO
  36   36 3684 2322 FO
  36   36 4420 2067 FO
  36   36 5156 1813 FO
DA
gs 741 350 4416 3803 rc
SO
/c10 { 1.000000 0.000000 0.000000 sr} bdef
c10
736 -64 736 -96 736 -108 736 -152 735 -209 741 4067 6 MP stroke
gr

c10
SO
 705 4067 mt  777 4067 L
 741 4031 mt  741 4103 L
1440 3858 mt 1512 3858 L
1476 3822 mt 1476 3894 L
2176 3706 mt 2248 3706 L
2212 3670 mt 2212 3742 L
2912 3598 mt 2984 3598 L
2948 3562 mt 2948 3634 L
3648 3502 mt 3720 3502 L
3684 3466 mt 3684 3538 L
4384 3438 mt 4456 3438 L
4420 3402 mt 4420 3474 L
gs 741 350 4416 3803 rc
DA
/c11 { 0.000000 0.750000 0.750000 sr} bdef
c11
736 -258 736 -270 736 -266 736 -279 736 -285 735 -300 741 4016 7 MP stroke
gr

c11
DA
SO
0 j
0 -58 -58 0 0 58 58 0 712 3987 5 MP
DP
0 -58 -58 0 0 58 58 0 1447 3687 5 MP
DP
0 -58 -58 0 0 58 58 0 2183 3402 5 MP
DP
0 -58 -58 0 0 58 58 0 2919 3123 5 MP
DP
0 -58 -58 0 0 58 58 0 3655 2857 5 MP
DP
0 -58 -58 0 0 58 58 0 4391 2587 5 MP
DP
0 -58 -58 0 0 58 58 0 5127 2329 5 MP
DP
DA
gs 741 350 4416 3803 rc
/c12 { 0.750000 0.000000 0.750000 sr} bdef
c12
736 -252 736 -253 736 -249 736 -254 735 -268 741 4016 6 MP stroke
gr

c12
SO
 705 4016 mt  777 4016 L
 741 3980 mt  741 4052 L
1440 3748 mt 1512 3748 L
1476 3712 mt 1476 3784 L
2176 3494 mt 2248 3494 L
2212 3458 mt 2212 3530 L
2912 3245 mt 2984 3245 L
2948 3209 mt 2948 3281 L
3648 2992 mt 3720 2992 L
3684 2956 mt 3684 3028 L
4384 2740 mt 4456 2740 L
4420 2704 mt 4420 2776 L
 716 3991 mt  766 4041 L
 766 3991 mt  716 4041 L
1451 3723 mt 1501 3773 L
1501 3723 mt 1451 3773 L
2187 3469 mt 2237 3519 L
2237 3469 mt 2187 3519 L
2923 3220 mt 2973 3270 L
2973 3220 mt 2923 3270 L
3659 2967 mt 3709 3017 L
3709 2967 mt 3659 3017 L
4395 2715 mt 4445 2765 L
4445 2715 mt 4395 2765 L
DA
gs 741 350 4416 3803 rc
DD
c10
736 -804 736 -510 736 -459 736 -429 736 -405 735 -357 741 4028 7 MP stroke
gr

c10
DD
SO
41 71 -82 0 41 -71 741 4075 4 MP
DP
41 71 -82 0 41 -71 1476 3718 4 MP
DP
41 71 -82 0 41 -71 2212 3313 4 MP
DP
41 71 -82 0 41 -71 2948 2884 4 MP
DP
41 71 -82 0 41 -71 3684 2425 4 MP
DP
41 71 -82 0 41 -71 4420 1915 4 MP
DP
41 71 -82 0 41 -71 5156 1111 4 MP
DP
DD
gs 741 350 4416 3803 rc
SO
0 sg
146 -621 736 -1587 735 -838 741 3396 4 MP stroke
gr

0 sg
SO
-71 41 0 -82 71 41 694 3396 4 MP
DP
-71 41 0 -82 71 41 1429 2558 4 MP
DP
-71 41 0 -82 71 41 2165 971 4 MP
DP
gs 741 350 4416 3803 rc
gr

2370 4440 mt 
(Dimension \(log scale\)) s
 491 2748 mt  -90 rotate
(log\(iteration count\)) s
90 rotate
1320  255 mt 
(Average iteration count vs. dimension for basic tube proble\
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 724 4195 mt 
( ) s
5140  392 mt 
( ) s
1 sg
0 1064 652 0 0 -1064 800 1474 4 MP
PP
-652 0 0 1064 652 0 0 -1064 800 1474 5 MP stroke
4 w
DO
SO
6 w
0 sg
 800 1474 mt 1452 1474 L
 800  410 mt 1452  410 L
 800 1474 mt  800  410 L
1452 1474 mt 1452  410 L
 800 1474 mt 1452 1474 L
 800 1474 mt  800  410 L
 800 1474 mt 1452 1474 L
 800  410 mt 1452  410 L
 800 1474 mt  800  410 L
1452 1474 mt 1452  410 L
1266  545 mt 
(A1) s
gs 800 410 653 1065 rc
c8
358 0 871 502 2 MP stroke
gs 977 429 147 147 rc
1025  477 mt 1075  527 L
1075  477 mt 1025  527 L
gr

gr

c8
0 sg
1266  691 mt 
(A2) s
gs 800 410 653 1065 rc
DA
c9
358 0 871 649 2 MP stroke
SO
gs 977 576 147 147 rc
  36   36 1050  649 FO
gr

gr

c9
0 sg
1266  838 mt 
(A3) s
gs 800 410 653 1065 rc
c10
358 0 871 795 2 MP stroke
gs 977 722 147 147 rc
1014  795 mt 1086  795 L
1050  759 mt 1050  831 L
gr

gr

c10
0 sg
1266  985 mt 
(A4) s
gs 800 410 653 1065 rc
DA
c11
358 0 871 942 2 MP stroke
SO
gs 977 869 147 147 rc
0 -58 -58 0 0 58 58 0 1021 913 5 MP
DP
gr

gr

c11
0 sg
1266 1131 mt 
(A5) s
gs 800 410 653 1065 rc
DA
c12
358 0 871 1088 2 MP stroke
SO
gs 977 1015 147 147 rc
1014 1088 mt 1086 1088 L
1050 1052 mt 1050 1124 L
1025 1063 mt 1075 1113 L
1075 1063 mt 1025 1113 L
gr

gr

c12
0 sg
1266 1278 mt 
(A6) s
gs 800 410 653 1065 rc
DD
c10
358 0 871 1234 2 MP stroke
SO
gs 977 1161 147 147 rc
41 71 -82 0 41 -71 1050 1281 4 MP
DP
gr

gr

c10
0 sg
1266 1424 mt 
(A7) s
gs 800 410 653 1065 rc
358 0 871 1381 2 MP stroke
gs 977 1308 147 147 rc
-71 41 0 -82 71 41 1003 1381 4 MP
DP
gr

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%%Trailer
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%%EndDocument
 @endspecial 1360 2474 a Fo(Figure)38 b(2.)48 b Fp(Results)34
b(for)e Fs(G2)p Fp(.)60 4931 y @beginspecial 88 @llx
215 @lly 522 @urx 580 @ury 4535 @rwi 2749 @rhi @setspecial
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1 j
1 sg
   0    0 5698 4666 rf
6 w
0 3803 4415 0 0 -3803 741 4152 4 MP
PP
-4415 0 0 3803 4415 0 0 -3803 741 4152 5 MP stroke
4 w
DO
SO
6 w
0 sg
 741 4152 mt 5156 4152 L
 741  349 mt 5156  349 L
 741 4152 mt  741  349 L
5156 4152 mt 5156  349 L
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(3) s
1476 4152 mt 1476 4107 L
1476  350 mt 1476  394 L
1443 4297 mt 
(6) s
2212 4152 mt 2212 4107 L
2212  350 mt 2212  394 L
2146 4297 mt 
(12) s
2948 4152 mt 2948 4107 L
2948  350 mt 2948  394 L
2882 4297 mt 
(24) s
3684 4152 mt 3684 4107 L
3684  350 mt 3684  394 L
3618 4297 mt 
(48) s
4420 4152 mt 4420 4107 L
4420  350 mt 4420  394 L
4354 4297 mt 
(96) s
5156 4152 mt 5156 4107 L
5156  350 mt 5156  394 L
5056 4297 mt 
(192) s
 741 4152 mt  785 4152 L
5156 4152 mt 5111 4152 L
 640 4196 mt 
(0) s
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5156 3771 mt 5111 3771 L
 640 3815 mt 
(1) s
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5156 3391 mt 5111 3391 L
 640 3435 mt 
(2) s
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5156 3011 mt 5111 3011 L
 640 3055 mt 
(3) s
 741 2631 mt  785 2631 L
5156 2631 mt 5111 2631 L
 640 2675 mt 
(4) s
 741 2251 mt  785 2251 L
5156 2251 mt 5111 2251 L
 640 2295 mt 
(5) s
 741 1870 mt  785 1870 L
5156 1870 mt 5111 1870 L
 640 1914 mt 
(6) s
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5156 1490 mt 5111 1490 L
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(7) s
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5156 1110 mt 5111 1110 L
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(8) s
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5156  730 mt 5111  730 L
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(9) s
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5156  350 mt 5111  350 L
 573  394 mt 
(10) s
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 741  349 mt 5156  349 L
 741 4152 mt  741  349 L
5156 4152 mt 5156  349 L
gs 741 350 4416 3803 rc
/c8 { 0.000000 0.000000 1.000000 sr} bdef
c8
736 -233 736 -268 736 -294 736 -300 735 -316 741 3994 6 MP stroke
gr

c8
 716 3969 mt  766 4019 L
 766 3969 mt  716 4019 L
1451 3653 mt 1501 3703 L
1501 3653 mt 1451 3703 L
2187 3353 mt 2237 3403 L
2237 3353 mt 2187 3403 L
2923 3059 mt 2973 3109 L
2973 3059 mt 2923 3109 L
3659 2791 mt 3709 2841 L
3709 2791 mt 3659 2841 L
4395 2558 mt 4445 2608 L
4445 2558 mt 4395 2608 L
gs 741 350 4416 3803 rc
DA
/c9 { 0.000000 0.500000 0.000000 sr} bdef
c9
736 -268 736 -258 736 -273 736 -270 736 -292 735 -407 741 3475 7 MP stroke
gr

c9
DA
SO
  36   36  741 3475 FO
  36   36 1476 3068 FO
  36   36 2212 2776 FO
  36   36 2948 2506 FO
  36   36 3684 2233 FO
  36   36 4420 1975 FO
  36   36 5156 1707 FO
DA
gs 741 350 4416 3803 rc
SO
/c10 { 1.000000 0.000000 0.000000 sr} bdef
c10
736 -90 736 -96 736 -130 736 -165 735 -221 741 4048 6 MP stroke
gr

c10
SO
 705 4048 mt  777 4048 L
 741 4012 mt  741 4084 L
1440 3827 mt 1512 3827 L
1476 3791 mt 1476 3863 L
2176 3662 mt 2248 3662 L
2212 3626 mt 2212 3698 L
2912 3532 mt 2984 3532 L
2948 3496 mt 2948 3568 L
3648 3436 mt 3720 3436 L
3684 3400 mt 3684 3472 L
4384 3346 mt 4456 3346 L
4420 3310 mt 4420 3382 L
gs 741 350 4416 3803 rc
DA
/c11 { 0.000000 0.750000 0.750000 sr} bdef
c11
736 -274 736 -286 736 -307 736 -328 736 -338 735 -299 741 3995 7 MP stroke
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c11
DA
SO
0 j
0 -58 -58 0 0 58 58 0 712 3966 5 MP
DP
0 -58 -58 0 0 58 58 0 1447 3667 5 MP
DP
0 -58 -58 0 0 58 58 0 2183 3329 5 MP
DP
0 -58 -58 0 0 58 58 0 2919 3001 5 MP
DP
0 -58 -58 0 0 58 58 0 3655 2694 5 MP
DP
0 -58 -58 0 0 58 58 0 4391 2408 5 MP
DP
0 -58 -58 0 0 58 58 0 5127 2134 5 MP
DP
DA
gs 741 350 4416 3803 rc
/c12 { 0.750000 0.000000 0.750000 sr} bdef
c12
736 -270 736 -275 736 -294 736 -289 735 -262 741 3995 6 MP stroke
gr

c12
SO
 705 3995 mt  777 3995 L
 741 3959 mt  741 4031 L
1440 3733 mt 1512 3733 L
1476 3697 mt 1476 3769 L
2176 3444 mt 2248 3444 L
2212 3408 mt 2212 3480 L
2912 3150 mt 2984 3150 L
2948 3114 mt 2948 3186 L
3648 2875 mt 3720 2875 L
3684 2839 mt 3684 2911 L
4384 2605 mt 4456 2605 L
4420 2569 mt 4420 2641 L
 716 3970 mt  766 4020 L
 766 3970 mt  716 4020 L
1451 3708 mt 1501 3758 L
1501 3708 mt 1451 3758 L
2187 3419 mt 2237 3469 L
2237 3419 mt 2187 3469 L
2923 3125 mt 2973 3175 L
2973 3125 mt 2923 3175 L
3659 2850 mt 3709 2900 L
3709 2850 mt 3659 2900 L
4395 2580 mt 4445 2630 L
4445 2580 mt 4395 2630 L
DA
gs 741 350 4416 3803 rc
DD
c10
736 -506 736 -452 736 -483 736 -456 735 -388 741 4003 6 MP stroke
gr

c10
DD
SO
41 71 -82 0 41 -71 741 4050 4 MP
DP
41 71 -82 0 41 -71 1476 3662 4 MP
DP
41 71 -82 0 41 -71 2212 3206 4 MP
DP
41 71 -82 0 41 -71 2948 2723 4 MP
DP
41 71 -82 0 41 -71 3684 2271 4 MP
DP
41 71 -82 0 41 -71 4420 1765 4 MP
DP
DD
gs 741 350 4416 3803 rc
SO
0 sg
670 -1896 735 -1063 741 3309 3 MP stroke
gr

0 sg
SO
-71 41 0 -82 71 41 694 3309 4 MP
DP
-71 41 0 -82 71 41 1429 2246 4 MP
DP
gs 741 350 4416 3803 rc
gr

2370 4440 mt 
(Dimension \(log scale\)) s
 491 2748 mt  -90 rotate
(log\(iteration count\)) s
90 rotate
1181  255 mt 
(Average iteration count vs. dimension for one-sided tube pr\
oblems) s
 724 4195 mt 
( ) s
5140  392 mt 
( ) s
1 sg
0 1064 652 0 0 -1064 4445 1474 4 MP
PP
-652 0 0 1064 652 0 0 -1064 4445 1474 5 MP stroke
4 w
DO
SO
6 w
0 sg
4445 1474 mt 5097 1474 L
4445  410 mt 5097  410 L
4445 1474 mt 4445  410 L
5097 1474 mt 5097  410 L
4445 1474 mt 5097 1474 L
4445 1474 mt 4445  410 L
4445 1474 mt 5097 1474 L
4445  410 mt 5097  410 L
4445 1474 mt 4445  410 L
5097 1474 mt 5097  410 L
4911  545 mt 
(A1) s
gs 4445 410 653 1065 rc
c8
358 0 4516 502 2 MP stroke
gs 4622 429 147 147 rc
4670  477 mt 4720  527 L
4720  477 mt 4670  527 L
gr

gr

c8
0 sg
4911  691 mt 
(A2) s
gs 4445 410 653 1065 rc
DA
c9
358 0 4516 649 2 MP stroke
SO
gs 4622 576 147 147 rc
  36   36 4695  649 FO
gr

gr

c9
0 sg
4911  838 mt 
(A3) s
gs 4445 410 653 1065 rc
c10
358 0 4516 795 2 MP stroke
gs 4622 722 147 147 rc
4659  795 mt 4731  795 L
4695  759 mt 4695  831 L
gr

gr

c10
0 sg
4911  985 mt 
(A4) s
gs 4445 410 653 1065 rc
DA
c11
358 0 4516 942 2 MP stroke
SO
gs 4622 869 147 147 rc
0 -58 -58 0 0 58 58 0 4666 913 5 MP
DP
gr

gr

c11
0 sg
4911 1131 mt 
(A5) s
gs 4445 410 653 1065 rc
DA
c12
358 0 4516 1088 2 MP stroke
SO
gs 4622 1015 147 147 rc
4659 1088 mt 4731 1088 L
4695 1052 mt 4695 1124 L
4670 1063 mt 4720 1113 L
4720 1063 mt 4670 1113 L
gr

gr

c12
0 sg
4911 1278 mt 
(A6) s
gs 4445 410 653 1065 rc
DD
c10
358 0 4516 1234 2 MP stroke
SO
gs 4622 1161 147 147 rc
41 71 -82 0 41 -71 4695 1281 4 MP
DP
gr

gr

c10
0 sg
4911 1424 mt 
(A7) s
gs 4445 410 653 1065 rc
358 0 4516 1381 2 MP stroke
gs 4622 1308 147 147 rc
-71 41 0 -82 71 41 4648 1381 4 MP
DP
gr

gr


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 741 4152 mt 5156 4152 L
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2002 4152 mt 2002 4107 L
2002  350 mt 2002  394 L
1936 4297 mt 
(12) s
2633 4152 mt 2633 4107 L
2633  350 mt 2633  394 L
2567 4297 mt 
(24) s
3263 4152 mt 3263 4107 L
3263  350 mt 3263  394 L
3197 4297 mt 
(48) s
3894 4152 mt 3894 4107 L
3894  350 mt 3894  394 L
3828 4297 mt 
(96) s
4525 4152 mt 4525 4107 L
4525  350 mt 4525  394 L
4425 4297 mt 
(192) s
5156 4152 mt 5156 4107 L
5156  350 mt 5156  394 L
5056 4297 mt 
(384) s
 741 4152 mt  785 4152 L
5156 4152 mt 5111 4152 L
 570 4196 mt 
(-1) s
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5156 3771 mt 5111 3771 L
 640 3815 mt 
(0) s
 741 3391 mt  785 3391 L
5156 3391 mt 5111 3391 L
 640 3435 mt 
(1) s
 741 3011 mt  785 3011 L
5156 3011 mt 5111 3011 L
 640 3055 mt 
(2) s
 741 2631 mt  785 2631 L
5156 2631 mt 5111 2631 L
 640 2675 mt 
(3) s
 741 2251 mt  785 2251 L
5156 2251 mt 5111 2251 L
 640 2295 mt 
(4) s
 741 1870 mt  785 1870 L
5156 1870 mt 5111 1870 L
 640 1914 mt 
(5) s
 741 1490 mt  785 1490 L
5156 1490 mt 5111 1490 L
 640 1534 mt 
(6) s
 741 1110 mt  785 1110 L
5156 1110 mt 5111 1110 L
 640 1154 mt 
(7) s
 741  730 mt  785  730 L
5156  730 mt 5111  730 L
 640  774 mt 
(8) s
 741  350 mt  785  350 L
5156  350 mt 5111  350 L
 640  394 mt 
(9) s
 741 4152 mt 5156 4152 L
 741  349 mt 5156  349 L
 741 4152 mt  741  349 L
5156 4152 mt 5156  349 L
gs 741 350 4416 3803 rc
/c8 { 0.000000 0.000000 1.000000 sr} bdef
c8
631 60 631 62 631 -17 630 -10 631 -5 631 5 630 -39 741 3815 8 MP stroke
gr

c8
 716 3790 mt  766 3840 L
 766 3790 mt  716 3840 L
1346 3751 mt 1396 3801 L
1396 3751 mt 1346 3801 L
1977 3756 mt 2027 3806 L
2027 3756 mt 1977 3806 L
2608 3751 mt 2658 3801 L
2658 3751 mt 2608 3801 L
3238 3741 mt 3288 3791 L
3288 3741 mt 3238 3791 L
3869 3724 mt 3919 3774 L
3919 3724 mt 3869 3774 L
4500 3786 mt 4550 3836 L
4550 3786 mt 4500 3836 L
5131 3846 mt 5181 3896 L
5181 3846 mt 5131 3896 L
gs 741 350 4416 3803 rc
DA
/c9 { 0.000000 0.500000 0.000000 sr} bdef
c9
631 -206 631 -264 631 -258 630 -266 631 -270 631 -248 630 -246 741 3494 8 MP stroke
gr

c9
DA
SO
  36   36  741 3494 FO
  36   36 1371 3248 FO
  36   36 2002 3000 FO
  36   36 2633 2730 FO
  36   36 3263 2464 FO
  36   36 3894 2206 FO
  36   36 4525 1942 FO
  36   36 5156 1736 FO
DA
gs 741 350 4416 3803 rc
SO
/c10 { 1.000000 0.000000 0.000000 sr} bdef
c10
631 58 631 0 631 5 630 -3 631 -5 631 27 630 70 741 3847 8 MP stroke
gr

c10
SO
 705 3847 mt  777 3847 L
 741 3811 mt  741 3883 L
1335 3917 mt 1407 3917 L
1371 3881 mt 1371 3953 L
1966 3944 mt 2038 3944 L
2002 3908 mt 2002 3980 L
2597 3939 mt 2669 3939 L
2633 3903 mt 2633 3975 L
3227 3936 mt 3299 3936 L
3263 3900 mt 3263 3972 L
3858 3941 mt 3930 3941 L
3894 3905 mt 3894 3977 L
4489 3941 mt 4561 3941 L
4525 3905 mt 4525 3977 L
5120 3999 mt 5192 3999 L
5156 3963 mt 5156 4035 L
gs 741 350 4416 3803 rc
DA
/c11 { 0.000000 0.750000 0.750000 sr} bdef
c11
631 58 631 0 631 5 630 -3 631 -5 631 15 630 29 741 3900 8 MP stroke
gr

c11
DA
SO
0 j
0 -58 -58 0 0 58 58 0 712 3871 5 MP
DP
0 -58 -58 0 0 58 58 0 1342 3900 5 MP
DP
0 -58 -58 0 0 58 58 0 1973 3915 5 MP
DP
0 -58 -58 0 0 58 58 0 2604 3910 5 MP
DP
0 -58 -58 0 0 58 58 0 3234 3907 5 MP
DP
0 -58 -58 0 0 58 58 0 3865 3912 5 MP
DP
0 -58 -58 0 0 58 58 0 4496 3912 5 MP
DP
0 -58 -58 0 0 58 58 0 5127 3970 5 MP
DP
DA
gs 741 350 4416 3803 rc
/c12 { 0.750000 0.000000 0.750000 sr} bdef
c12
631 58 631 0 631 5 630 -3 631 -5 631 15 630 29 741 3900 8 MP stroke
gr

c12
SO
 705 3900 mt  777 3900 L
 741 3864 mt  741 3936 L
1335 3929 mt 1407 3929 L
1371 3893 mt 1371 3965 L
1966 3944 mt 2038 3944 L
2002 3908 mt 2002 3980 L
2597 3939 mt 2669 3939 L
2633 3903 mt 2633 3975 L
3227 3936 mt 3299 3936 L
3263 3900 mt 3263 3972 L
3858 3941 mt 3930 3941 L
3894 3905 mt 3894 3977 L
4489 3941 mt 4561 3941 L
4525 3905 mt 4525 3977 L
5120 3999 mt 5192 3999 L
5156 3963 mt 5156 4035 L
 716 3875 mt  766 3925 L
 766 3875 mt  716 3925 L
1346 3904 mt 1396 3954 L
1396 3904 mt 1346 3954 L
1977 3919 mt 2027 3969 L
2027 3919 mt 1977 3969 L
2608 3914 mt 2658 3964 L
2658 3914 mt 2608 3964 L
3238 3911 mt 3288 3961 L
3288 3911 mt 3238 3961 L
3869 3916 mt 3919 3966 L
3919 3916 mt 3869 3966 L
4500 3916 mt 4550 3966 L
4550 3916 mt 4500 3966 L
5131 3974 mt 5181 4024 L
5181 3974 mt 5131 4024 L
DA
gs 741 350 4416 3803 rc
DD
c10
631 60 631 62 631 -17 630 -10 631 -5 631 5 630 -39 741 3815 8 MP stroke
gr

c10
DD
SO
41 71 -82 0 41 -71 741 3862 4 MP
DP
41 71 -82 0 41 -71 1371 3823 4 MP
DP
41 71 -82 0 41 -71 2002 3828 4 MP
DP
41 71 -82 0 41 -71 2633 3823 4 MP
DP
41 71 -82 0 41 -71 3263 3813 4 MP
DP
41 71 -82 0 41 -71 3894 3796 4 MP
DP
41 71 -82 0 41 -71 4525 3858 4 MP
DP
41 71 -82 0 41 -71 5156 3918 4 MP
DP
DD
gs 741 350 4416 3803 rc
SO
0 sg
631 63 631 8 631 13 630 -9 631 -11 631 33 630 35 741 3485 8 MP stroke
gr

0 sg
SO
-71 41 0 -82 71 41 694 3485 4 MP
DP
-71 41 0 -82 71 41 1324 3520 4 MP
DP
-71 41 0 -82 71 41 1955 3553 4 MP
DP
-71 41 0 -82 71 41 2586 3542 4 MP
DP
-71 41 0 -82 71 41 3216 3533 4 MP
DP
-71 41 0 -82 71 41 3847 3546 4 MP
DP
-71 41 0 -82 71 41 4478 3554 4 MP
DP
-71 41 0 -82 71 41 5109 3617 4 MP
DP
gs 741 350 4416 3803 rc
gr

2370 4440 mt 
(Dimension \(log scale\)) s
 488 2748 mt  -90 rotate
(log\(iteration count\)) s
90 rotate
1499  255 mt 
(Average iteration count vs. dimension for ) s
%%IncludeResource: font Helvetica-Bold
/Helvetica-Bold /ISOLatin1Encoding 120 FMSR

3683  255 mt 
( G4) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR

3876  255 mt 
( problems) s
 724 4195 mt 
( ) s
5140  392 mt 
( ) s
1 sg
0 1064 652 0 0 -1064 4445 1474 4 MP
PP
-652 0 0 1064 652 0 0 -1064 4445 1474 5 MP stroke
4 w
DO
SO
6 w
0 sg
4445 1474 mt 5097 1474 L
4445  410 mt 5097  410 L
4445 1474 mt 4445  410 L
5097 1474 mt 5097  410 L
4445 1474 mt 5097 1474 L
4445 1474 mt 4445  410 L
4445 1474 mt 5097 1474 L
4445  410 mt 5097  410 L
4445 1474 mt 4445  410 L
5097 1474 mt 5097  410 L
4911  545 mt 
(A1) s
gs 4445 410 653 1065 rc
c8
358 0 4516 502 2 MP stroke
gs 4622 429 147 147 rc
4670  477 mt 4720  527 L
4720  477 mt 4670  527 L
gr

gr

c8
0 sg
4911  691 mt 
(A2) s
gs 4445 410 653 1065 rc
DA
c9
358 0 4516 649 2 MP stroke
SO
gs 4622 576 147 147 rc
  36   36 4695  649 FO
gr

gr

c9
0 sg
4911  838 mt 
(A3) s
gs 4445 410 653 1065 rc
c10
358 0 4516 795 2 MP stroke
gs 4622 722 147 147 rc
4659  795 mt 4731  795 L
4695  759 mt 4695  831 L
gr

gr

c10
0 sg
4911  985 mt 
(A4) s
gs 4445 410 653 1065 rc
DA
c11
358 0 4516 942 2 MP stroke
SO
gs 4622 869 147 147 rc
0 -58 -58 0 0 58 58 0 4666 913 5 MP
DP
gr

gr

c11
0 sg
4911 1131 mt 
(A5) s
gs 4445 410 653 1065 rc
DA
c12
358 0 4516 1088 2 MP stroke
SO
gs 4622 1015 147 147 rc
4659 1088 mt 4731 1088 L
4695 1052 mt 4695 1124 L
4670 1063 mt 4720 1113 L
4720 1063 mt 4670 1113 L
gr

gr

c12
0 sg
4911 1278 mt 
(A6) s
gs 4445 410 653 1065 rc
DD
c10
358 0 4516 1234 2 MP stroke
SO
gs 4622 1161 147 147 rc
41 71 -82 0 41 -71 4695 1281 4 MP
DP
gr

gr

c10
0 sg
4911 1424 mt 
(A7) s
gs 4445 410 653 1065 rc
358 0 4516 1381 2 MP stroke
gs 4622 1308 147 147 rc
-71 41 0 -82 71 41 4648 1381 4 MP
DP
gr

gr


end %%Color Dict

eplot
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epage
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showpage

%%Trailer
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%%EndDocument
 @endspecial 1360 2474 a Fo(Figure)38 b(4.)48 b Fp(Results)34
b(for)e Fs(G4)p Fp(.)60 4931 y @beginspecial 88 @llx
215 @lly 522 @urx 580 @ury 4535 @rwi 2749 @rhi @setspecial
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/dpi2point 12 def
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    0     0  5697  4665 rc
85 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 5698 4666 rf
6 w
0 3803 4415 0 0 -3803 741 4152 4 MP
PP
-4415 0 0 3803 4415 0 0 -3803 741 4152 5 MP stroke
4 w
DO
SO
6 w
0 sg
 741 4152 mt 5156 4152 L
 741  349 mt 5156  349 L
 741 4152 mt  741  349 L
5156 4152 mt 5156  349 L
 741 4152 mt 5156 4152 L
 741 4152 mt  741  349 L
 741 4152 mt  741 4107 L
 741  350 mt  741  394 L
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 708 4297 mt 
(3) s
1476 4152 mt 1476 4107 L
1476  350 mt 1476  394 L
1443 4297 mt 
(6) s
2212 4152 mt 2212 4107 L
2212  350 mt 2212  394 L
2146 4297 mt 
(12) s
2948 4152 mt 2948 4107 L
2948  350 mt 2948  394 L
2882 4297 mt 
(24) s
3684 4152 mt 3684 4107 L
3684  350 mt 3684  394 L
3618 4297 mt 
(48) s
4420 4152 mt 4420 4107 L
4420  350 mt 4420  394 L
4354 4297 mt 
(96) s
5156 4152 mt 5156 4107 L
5156  350 mt 5156  394 L
5056 4297 mt 
(192) s
 741 4152 mt  785 4152 L
5156 4152 mt 5111 4152 L
 570 4196 mt 
(-1) s
 741 3771 mt  785 3771 L
5156 3771 mt 5111 3771 L
 640 3815 mt 
(0) s
 741 3391 mt  785 3391 L
5156 3391 mt 5111 3391 L
 640 3435 mt 
(1) s
 741 3011 mt  785 3011 L
5156 3011 mt 5111 3011 L
 640 3055 mt 
(2) s
 741 2631 mt  785 2631 L
5156 2631 mt 5111 2631 L
 640 2675 mt 
(3) s
 741 2251 mt  785 2251 L
5156 2251 mt 5111 2251 L
 640 2295 mt 
(4) s
 741 1870 mt  785 1870 L
5156 1870 mt 5111 1870 L
 640 1914 mt 
(5) s
 741 1490 mt  785 1490 L
5156 1490 mt 5111 1490 L
 640 1534 mt 
(6) s
 741 1110 mt  785 1110 L
5156 1110 mt 5111 1110 L
 640 1154 mt 
(7) s
 741  730 mt  785  730 L
5156  730 mt 5111  730 L
 640  774 mt 
(8) s
 741  350 mt  785  350 L
5156  350 mt 5111  350 L
 640  394 mt 
(9) s
 741 4152 mt 5156 4152 L
 741  349 mt 5156  349 L
 741 4152 mt  741  349 L
5156 4152 mt 5156  349 L
gs 741 350 4416 3803 rc
/c8 { 0.000000 0.000000 1.000000 sr} bdef
c8
736 -263 736 -263 736 -252 736 -249 735 -243 741 3683 6 MP stroke
gr

c8
 716 3658 mt  766 3708 L
 766 3658 mt  716 3708 L
1451 3415 mt 1501 3465 L
1501 3415 mt 1451 3465 L
2187 3166 mt 2237 3216 L
2237 3166 mt 2187 3216 L
2923 2914 mt 2973 2964 L
2973 2914 mt 2923 2964 L
3659 2651 mt 3709 2701 L
3709 2651 mt 3659 2701 L
4395 2388 mt 4445 2438 L
4445 2388 mt 4395 2438 L
gs 741 350 4416 3803 rc
DA
/c9 { 0.000000 0.500000 0.000000 sr} bdef
c9
736 -264 736 -263 736 -264 736 -264 736 -265 735 -299 741 3391 7 MP stroke
gr

c9
DA
SO
  36   36  741 3391 FO
  36   36 1476 3092 FO
  36   36 2212 2827 FO
  36   36 2948 2563 FO
  36   36 3684 2299 FO
  36   36 4420 2036 FO
  36   36 5156 1772 FO
DA
gs 741 350 4416 3803 rc
SO
/c10 { 1.000000 0.000000 0.000000 sr} bdef
c10
736 -14 736 -6 736 -5 736 -8 735 -38 741 3776 6 MP stroke
gr

c10
SO
 705 3776 mt  777 3776 L
 741 3740 mt  741 3812 L
1440 3738 mt 1512 3738 L
1476 3702 mt 1476 3774 L
2176 3730 mt 2248 3730 L
2212 3694 mt 2212 3766 L
2912 3725 mt 2984 3725 L
2948 3689 mt 2948 3761 L
3648 3719 mt 3720 3719 L
3684 3683 mt 3684 3755 L
4384 3705 mt 4456 3705 L
4420 3669 mt 4420 3741 L
gs 741 350 4416 3803 rc
DA
/c11 { 0.000000 0.750000 0.750000 sr} bdef
c11
736 0 736 0 736 0 736 0 736 -2 735 -34 741 3807 7 MP stroke
gr

c11
DA
SO
0 j
0 -58 -58 0 0 58 58 0 712 3778 5 MP
DP
0 -58 -58 0 0 58 58 0 1447 3744 5 MP
DP
0 -58 -58 0 0 58 58 0 2183 3742 5 MP
DP
0 -58 -58 0 0 58 58 0 2919 3742 5 MP
DP
0 -58 -58 0 0 58 58 0 3655 3742 5 MP
DP
0 -58 -58 0 0 58 58 0 4391 3742 5 MP
DP
0 -58 -58 0 0 58 58 0 5127 3742 5 MP
DP
DA
gs 741 350 4416 3803 rc
/c12 { 0.750000 0.000000 0.750000 sr} bdef
c12
736 0 736 0 736 0 736 -2 735 -34 741 3807 6 MP stroke
gr

c12
SO
 705 3807 mt  777 3807 L
 741 3771 mt  741 3843 L
1440 3773 mt 1512 3773 L
1476 3737 mt 1476 3809 L
2176 3771 mt 2248 3771 L
2212 3735 mt 2212 3807 L
2912 3771 mt 2984 3771 L
2948 3735 mt 2948 3807 L
3648 3771 mt 3720 3771 L
3684 3735 mt 3684 3807 L
4384 3771 mt 4456 3771 L
4420 3735 mt 4420 3807 L
 716 3782 mt  766 3832 L
 766 3782 mt  716 3832 L
1451 3748 mt 1501 3798 L
1501 3748 mt 1451 3798 L
2187 3746 mt 2237 3796 L
2237 3746 mt 2187 3796 L
2923 3746 mt 2973 3796 L
2973 3746 mt 2923 3796 L
3659 3746 mt 3709 3796 L
3709 3746 mt 3659 3796 L
4395 3746 mt 4445 3796 L
4445 3746 mt 4395 3796 L
DA
gs 741 350 4416 3803 rc
DD
c10
736 -263 736 -263 736 -252 736 -249 735 -243 741 3683 6 MP stroke
gr

c10
DD
SO
41 71 -82 0 41 -71 741 3730 4 MP
DP
41 71 -82 0 41 -71 1476 3487 4 MP
DP
41 71 -82 0 41 -71 2212 3238 4 MP
DP
41 71 -82 0 41 -71 2948 2986 4 MP
DP
41 71 -82 0 41 -71 3684 2723 4 MP
DP
41 71 -82 0 41 -71 4420 2460 4 MP
DP
DD
gs 741 350 4416 3803 rc
SO
0 sg
348 -1487 735 -1072 741 2909 3 MP stroke
gr

0 sg
SO
-71 41 0 -82 71 41 694 2909 4 MP
DP
-71 41 0 -82 71 41 1429 1837 4 MP
DP
gs 741 350 4416 3803 rc
gr

2370 4440 mt 
(Dimension \(log scale\)) s
 488 2748 mt  -90 rotate
(log\(iteration count\)) s
90 rotate
1499  255 mt 
(Average iteration count vs. dimension for ) s
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3876  255 mt 
( problems) s
 724 4195 mt 
( ) s
5140  392 mt 
( ) s
1 sg
0 1064 652 0 0 -1064 4445 1474 4 MP
PP
-652 0 0 1064 652 0 0 -1064 4445 1474 5 MP stroke
4 w
DO
SO
6 w
0 sg
4445 1474 mt 5097 1474 L
4445  410 mt 5097  410 L
4445 1474 mt 4445  410 L
5097 1474 mt 5097  410 L
4445 1474 mt 5097 1474 L
4445 1474 mt 4445  410 L
4445 1474 mt 5097 1474 L
4445  410 mt 5097  410 L
4445 1474 mt 4445  410 L
5097 1474 mt 5097  410 L
4911  545 mt 
(A1) s
gs 4445 410 653 1065 rc
c8
358 0 4516 502 2 MP stroke
gs 4622 429 147 147 rc
4670  477 mt 4720  527 L
4720  477 mt 4670  527 L
gr

gr

c8
0 sg
4911  691 mt 
(A2) s
gs 4445 410 653 1065 rc
DA
c9
358 0 4516 649 2 MP stroke
SO
gs 4622 576 147 147 rc
  36   36 4695  649 FO
gr

gr

c9
0 sg
4911  838 mt 
(A3) s
gs 4445 410 653 1065 rc
c10
358 0 4516 795 2 MP stroke
gs 4622 722 147 147 rc
4659  795 mt 4731  795 L
4695  759 mt 4695  831 L
gr

gr

c10
0 sg
4911  985 mt 
(A4) s
gs 4445 410 653 1065 rc
DA
c11
358 0 4516 942 2 MP stroke
SO
gs 4622 869 147 147 rc
0 -58 -58 0 0 58 58 0 4666 913 5 MP
DP
gr

gr

c11
0 sg
4911 1131 mt 
(A5) s
gs 4445 410 653 1065 rc
DA
c12
358 0 4516 1088 2 MP stroke
SO
gs 4622 1015 147 147 rc
4659 1088 mt 4731 1088 L
4695 1052 mt 4695 1124 L
4670 1063 mt 4720 1113 L
4720 1063 mt 4670 1113 L
gr

gr

c12
0 sg
4911 1278 mt 
(A6) s
gs 4445 410 653 1065 rc
DD
c10
358 0 4516 1234 2 MP stroke
SO
gs 4622 1161 147 147 rc
41 71 -82 0 41 -71 4695 1281 4 MP
DP
gr

gr

c10
0 sg
4911 1424 mt 
(A7) s
gs 4445 410 653 1065 rc
358 0 4516 1381 2 MP stroke
gs 4622 1308 147 147 rc
-71 41 0 -82 71 41 4648 1381 4 MP
DP
gr

gr


end %%Color Dict

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%%EndDocument
 @endspecial 1360 5147 a Fo(Figure)38 b(5.)48 b Fp(Results)34
b(for)e Fs(G5)p Fp(.)p eop end
%%Page: 14 14
TeXDict begin 14 13 bop 0 -170 a Ff(14)487 b(ANTOINE)25
b(DEZA,)g(SUI)g(HUANG,)f(T)-6 b(AMON)25 b(STEPHEN,)h(AND)f(T)-6
b(AM)2834 -188 y(\023)2824 -170 y(AS)25 b(TERLAKY)60
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/dpi2point 12 def
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    0     0  5697  4665 rc
85 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
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/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 5698 4666 rf
6 w
0 3803 4415 0 0 -3803 741 4152 4 MP
PP
-4415 0 0 3803 4415 0 0 -3803 741 4152 5 MP stroke
4 w
DO
SO
6 w
0 sg
 741 4152 mt 5156 4152 L
 741  349 mt 5156  349 L
 741 4152 mt  741  349 L
5156 4152 mt 5156  349 L
 741 4152 mt 5156 4152 L
 741 4152 mt  741  349 L
 741 4152 mt  741 4107 L
 741  350 mt  741  394 L
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 708 4297 mt 
(3) s
1476 4152 mt 1476 4107 L
1476  350 mt 1476  394 L
1443 4297 mt 
(6) s
2212 4152 mt 2212 4107 L
2212  350 mt 2212  394 L
2146 4297 mt 
(12) s
2948 4152 mt 2948 4107 L
2948  350 mt 2948  394 L
2882 4297 mt 
(24) s
3684 4152 mt 3684 4107 L
3684  350 mt 3684  394 L
3618 4297 mt 
(48) s
4420 4152 mt 4420 4107 L
4420  350 mt 4420  394 L
4354 4297 mt 
(96) s
5156 4152 mt 5156 4107 L
5156  350 mt 5156  394 L
5056 4297 mt 
(192) s
 741 4152 mt  785 4152 L
5156 4152 mt 5111 4152 L
 640 4196 mt 
(0) s
 741 3771 mt  785 3771 L
5156 3771 mt 5111 3771 L
 640 3815 mt 
(1) s
 741 3391 mt  785 3391 L
5156 3391 mt 5111 3391 L
 640 3435 mt 
(2) s
 741 3011 mt  785 3011 L
5156 3011 mt 5111 3011 L
 640 3055 mt 
(3) s
 741 2631 mt  785 2631 L
5156 2631 mt 5111 2631 L
 640 2675 mt 
(4) s
 741 2251 mt  785 2251 L
5156 2251 mt 5111 2251 L
 640 2295 mt 
(5) s
 741 1870 mt  785 1870 L
5156 1870 mt 5111 1870 L
 640 1914 mt 
(6) s
 741 1490 mt  785 1490 L
5156 1490 mt 5111 1490 L
 640 1534 mt 
(7) s
 741 1110 mt  785 1110 L
5156 1110 mt 5111 1110 L
 640 1154 mt 
(8) s
 741  730 mt  785  730 L
5156  730 mt 5111  730 L
 640  774 mt 
(9) s
 741  350 mt  785  350 L
5156  350 mt 5111  350 L
 573  394 mt 
(10) s
 741 4152 mt 5156 4152 L
 741  349 mt 5156  349 L
 741 4152 mt  741  349 L
5156 4152 mt 5156  349 L
gs 741 350 4416 3803 rc
/c8 { 0.000000 0.000000 1.000000 sr} bdef
c8
736 -268 736 -268 736 -280 736 -322 735 -401 741 3854 6 MP stroke
gr

c8
 716 3829 mt  766 3879 L
 766 3829 mt  716 3879 L
1451 3428 mt 1501 3478 L
1501 3428 mt 1451 3478 L
2187 3106 mt 2237 3156 L
2237 3106 mt 2187 3156 L
2923 2826 mt 2973 2876 L
2973 2826 mt 2923 2876 L
3659 2558 mt 3709 2608 L
3709 2558 mt 3659 2608 L
4395 2290 mt 4445 2340 L
4445 2290 mt 4395 2340 L
gs 741 350 4416 3803 rc
DA
/c9 { 0.000000 0.500000 0.000000 sr} bdef
c9
736 -261 736 -263 736 -264 736 -263 736 -261 735 -293 741 3670 7 MP stroke
gr

c9
DA
SO
  36   36  741 3670 FO
  36   36 1476 3377 FO
  36   36 2212 3116 FO
  36   36 2948 2853 FO
  36   36 3684 2589 FO
  36   36 4420 2326 FO
  36   36 5156 2065 FO
DA
gs 741 350 4416 3803 rc
SO
/c10 { 1.000000 0.000000 0.000000 sr} bdef
c10
736 -20 736 15 736 24 736 -42 735 -191 741 3895 6 MP stroke
gr

c10
SO
 705 3895 mt  777 3895 L
 741 3859 mt  741 3931 L
1440 3704 mt 1512 3704 L
1476 3668 mt 1476 3740 L
2176 3662 mt 2248 3662 L
2212 3626 mt 2212 3698 L
2912 3686 mt 2984 3686 L
2948 3650 mt 2948 3722 L
3648 3701 mt 3720 3701 L
3684 3665 mt 3684 3737 L
4384 3681 mt 4456 3681 L
4420 3645 mt 4420 3717 L
gs 741 350 4416 3803 rc
DA
/c11 { 0.000000 0.750000 0.750000 sr} bdef
c11
736 -151 736 -94 736 -105 736 -91 736 -102 735 -129 741 3975 7 MP stroke
gr

c11
DA
SO
0 j
0 -58 -58 0 0 58 58 0 712 3946 5 MP
DP
0 -58 -58 0 0 58 58 0 1447 3817 5 MP
DP
0 -58 -58 0 0 58 58 0 2183 3715 5 MP
DP
0 -58 -58 0 0 58 58 0 2919 3624 5 MP
DP
0 -58 -58 0 0 58 58 0 3655 3519 5 MP
DP
0 -58 -58 0 0 58 58 0 4391 3425 5 MP
DP
0 -58 -58 0 0 58 58 0 5127 3274 5 MP
DP
DA
gs 741 350 4416 3803 rc
/c12 { 0.750000 0.000000 0.750000 sr} bdef
c12
736 -94 736 -105 736 -91 736 -102 735 -129 741 3975 6 MP stroke
gr

c12
SO
 705 3975 mt  777 3975 L
 741 3939 mt  741 4011 L
1440 3846 mt 1512 3846 L
1476 3810 mt 1476 3882 L
2176 3744 mt 2248 3744 L
2212 3708 mt 2212 3780 L
2912 3653 mt 2984 3653 L
2948 3617 mt 2948 3689 L
3648 3548 mt 3720 3548 L
3684 3512 mt 3684 3584 L
4384 3454 mt 4456 3454 L
4420 3418 mt 4420 3490 L
 716 3950 mt  766 4000 L
 766 3950 mt  716 4000 L
1451 3821 mt 1501 3871 L
1501 3821 mt 1451 3871 L
2187 3719 mt 2237 3769 L
2237 3719 mt 2187 3769 L
2923 3628 mt 2973 3678 L
2973 3628 mt 2923 3678 L
3659 3523 mt 3709 3573 L
3709 3523 mt 3659 3573 L
4395 3429 mt 4445 3479 L
4445 3429 mt 4395 3479 L
DA
gs 741 350 4416 3803 rc
DD
c10
736 -267 736 -270 736 -289 736 -334 735 -411 741 3842 6 MP stroke
gr

c10
DD
SO
41 71 -82 0 41 -71 741 3889 4 MP
DP
41 71 -82 0 41 -71 1476 3478 4 MP
DP
41 71 -82 0 41 -71 2212 3144 4 MP
DP
41 71 -82 0 41 -71 2948 2855 4 MP
DP
41 71 -82 0 41 -71 3684 2585 4 MP
DP
41 71 -82 0 41 -71 4420 2318 4 MP
DP
DD
gs 741 350 4416 3803 rc
SO
0 sg
5 -17 735 -2570 741 2937 3 MP stroke
gr

0 sg
SO
-71 41 0 -82 71 41 694 2937 4 MP
DP
-71 41 0 -82 71 41 1429 367 4 MP
DP
gs 741 350 4416 3803 rc
gr

2370 4440 mt 
(Dimension \(log scale\)) s
 491 2748 mt  -90 rotate
(log\(iteration count\)) s
90 rotate
1499  255 mt 
(Average iteration count vs. dimension for ) s
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3683  255 mt 
( G6) s
%%IncludeResource: font Helvetica
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3876  255 mt 
( problems) s
 724 4195 mt 
( ) s
5140  392 mt 
( ) s
1 sg
0 1064 652 0 0 -1064 4445 1474 4 MP
PP
-652 0 0 1064 652 0 0 -1064 4445 1474 5 MP stroke
4 w
DO
SO
6 w
0 sg
4445 1474 mt 5097 1474 L
4445  410 mt 5097  410 L
4445 1474 mt 4445  410 L
5097 1474 mt 5097  410 L
4445 1474 mt 5097 1474 L
4445 1474 mt 4445  410 L
4445 1474 mt 5097 1474 L
4445  410 mt 5097  410 L
4445 1474 mt 4445  410 L
5097 1474 mt 5097  410 L
4911  545 mt 
(A1) s
gs 4445 410 653 1065 rc
c8
358 0 4516 502 2 MP stroke
gs 4622 429 147 147 rc
4670  477 mt 4720  527 L
4720  477 mt 4670  527 L
gr

gr

c8
0 sg
4911  691 mt 
(A2) s
gs 4445 410 653 1065 rc
DA
c9
358 0 4516 649 2 MP stroke
SO
gs 4622 576 147 147 rc
  36   36 4695  649 FO
gr

gr

c9
0 sg
4911  838 mt 
(A3) s
gs 4445 410 653 1065 rc
c10
358 0 4516 795 2 MP stroke
gs 4622 722 147 147 rc
4659  795 mt 4731  795 L
4695  759 mt 4695  831 L
gr

gr

c10
0 sg
4911  985 mt 
(A4) s
gs 4445 410 653 1065 rc
DA
c11
358 0 4516 942 2 MP stroke
SO
gs 4622 869 147 147 rc
0 -58 -58 0 0 58 58 0 4666 913 5 MP
DP
gr

gr

c11
0 sg
4911 1131 mt 
(A5) s
gs 4445 410 653 1065 rc
DA
c12
358 0 4516 1088 2 MP stroke
SO
gs 4622 1015 147 147 rc
4659 1088 mt 4731 1088 L
4695 1052 mt 4695 1124 L
4670 1063 mt 4720 1113 L
4720 1063 mt 4670 1113 L
gr

gr

c12
0 sg
4911 1278 mt 
(A6) s
gs 4445 410 653 1065 rc
DD
c10
358 0 4516 1234 2 MP stroke
SO
gs 4622 1161 147 147 rc
41 71 -82 0 41 -71 4695 1281 4 MP
DP
gr

gr

c10
0 sg
4911 1424 mt 
(A7) s
gs 4445 410 653 1065 rc
358 0 4516 1381 2 MP stroke
gs 4622 1308 147 147 rc
-71 41 0 -82 71 41 4648 1381 4 MP
DP
gr

gr


end %%Color Dict

eplot
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%%Trailer
%%EOF

%%EndDocument
 @endspecial 1360 2474 a Fo(Figure)38 b(6.)48 b Fp(Results)34
b(for)e Fs(G6)p Fp(.)60 5361 y @beginspecial 88 @llx
215 @lly 522 @urx 580 @ury 4535 @rwi 2749 @rhi @setspecial
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% definition operators
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% line types: solid, dotted, dashed, dotdash
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% macros for lines and objects
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/L1i {{currentfile picstr readhexstring pop} image} bdef
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/FRR {MRR stroke } bdef
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/dpi2point 12 def
portraitMode 0816 7080 csm

    0     0  5697  4665 rc
85 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 5698 4666 rf
6 w
0 3803 4415 0 0 -3803 741 4152 4 MP
PP
-4415 0 0 3803 4415 0 0 -3803 741 4152 5 MP stroke
4 w
DO
SO
6 w
0 sg
 741 4152 mt 5156 4152 L
 741  349 mt 5156  349 L
 741 4152 mt  741  349 L
5156 4152 mt 5156  349 L
 741 4152 mt 5156 4152 L
 741 4152 mt  741  349 L
 741 4152 mt  741 4107 L
 741  350 mt  741  394 L
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 708 4297 mt 
(3) s
1371 4152 mt 1371 4107 L
1371  350 mt 1371  394 L
1338 4297 mt 
(6) s
2002 4152 mt 2002 4107 L
2002  350 mt 2002  394 L
1936 4297 mt 
(12) s
2633 4152 mt 2633 4107 L
2633  350 mt 2633  394 L
2567 4297 mt 
(24) s
3263 4152 mt 3263 4107 L
3263  350 mt 3263  394 L
3197 4297 mt 
(48) s
3894 4152 mt 3894 4107 L
3894  350 mt 3894  394 L
3828 4297 mt 
(96) s
4525 4152 mt 4525 4107 L
4525  350 mt 4525  394 L
4425 4297 mt 
(192) s
5156 4152 mt 5156 4107 L
5156  350 mt 5156  394 L
5056 4297 mt 
(384) s
 741 4152 mt  785 4152 L
5156 4152 mt 5111 4152 L
 570 4196 mt 
(-9) s
 741 3771 mt  785 3771 L
5156 3771 mt 5111 3771 L
 570 3815 mt 
(-8) s
 741 3391 mt  785 3391 L
5156 3391 mt 5111 3391 L
 570 3435 mt 
(-7) s
 741 3011 mt  785 3011 L
5156 3011 mt 5111 3011 L
 570 3055 mt 
(-6) s
 741 2631 mt  785 2631 L
5156 2631 mt 5111 2631 L
 570 2675 mt 
(-5) s
 741 2251 mt  785 2251 L
5156 2251 mt 5111 2251 L
 570 2295 mt 
(-4) s
 741 1870 mt  785 1870 L
5156 1870 mt 5111 1870 L
 570 1914 mt 
(-3) s
 741 1490 mt  785 1490 L
5156 1490 mt 5111 1490 L
 570 1534 mt 
(-2) s
 741 1110 mt  785 1110 L
5156 1110 mt 5111 1110 L
 570 1154 mt 
(-1) s
 741  730 mt  785  730 L
5156  730 mt 5111  730 L
 640  774 mt 
(0) s
 741  350 mt  785  350 L
5156  350 mt 5111  350 L
 640  394 mt 
(1) s
 741 4152 mt 5156 4152 L
 741  349 mt 5156  349 L
 741 4152 mt  741  349 L
5156 4152 mt 5156  349 L
gs 741 350 4416 3803 rc
/c8 { 0.000000 0.000000 1.000000 sr} bdef
c8
631 -694 631 -529 630 -381 631 -232 631 -136 630 -57 741 2590 7 MP stroke
gr

c8
 716 2565 mt  766 2615 L
 766 2565 mt  716 2615 L
1346 2508 mt 1396 2558 L
1396 2508 mt 1346 2558 L
1977 2372 mt 2027 2422 L
2027 2372 mt 1977 2422 L
2608 2140 mt 2658 2190 L
2658 2140 mt 2608 2190 L
3238 1759 mt 3288 1809 L
3288 1759 mt 3238 1809 L
3869 1230 mt 3919 1280 L
3919 1230 mt 3869 1280 L
4500  536 mt 4550  586 L
4550  536 mt 4500  586 L
gs 741 350 4416 3803 rc
DA
/c9 { 0.000000 0.500000 0.000000 sr} bdef
c9
631 -540 631 -390 631 -321 630 -250 631 -190 631 -126 630 -40 741 3411 8 MP stroke
gr

c9
DA
SO
  36   36  741 3411 FO
  36   36 1371 3371 FO
  36   36 2002 3245 FO
  36   36 2633 3055 FO
  36   36 3263 2805 FO
  36   36 3894 2484 FO
  36   36 4525 2094 FO
  36   36 5156 1554 FO
DA
gs 741 350 4416 3803 rc
SO
/c10 { 1.000000 0.000000 0.000000 sr} bdef
c10
631 -600 631 -499 630 -367 631 -242 631 -152 630 -72 741 2573 7 MP stroke
gr

c10
SO
 705 2573 mt  777 2573 L
 741 2537 mt  741 2609 L
1335 2501 mt 1407 2501 L
1371 2465 mt 1371 2537 L
1966 2349 mt 2038 2349 L
2002 2313 mt 2002 2385 L
2597 2107 mt 2669 2107 L
2633 2071 mt 2633 2143 L
3227 1740 mt 3299 1740 L
3263 1704 mt 3263 1776 L
3858 1241 mt 3930 1241 L
3894 1205 mt 3894 1277 L
4489  641 mt 4561  641 L
4525  605 mt 4525  677 L
gs 741 350 4416 3803 rc
DA
/c11 { 0.000000 0.750000 0.750000 sr} bdef
c11
631 -473 631 -346 631 -389 630 -364 631 -349 631 -295 630 -207 741 3104 8 MP stroke
gr

c11
DA
SO
0 j
0 -58 -58 0 0 58 58 0 712 3075 5 MP
DP
0 -58 -58 0 0 58 58 0 1342 2868 5 MP
DP
0 -58 -58 0 0 58 58 0 1973 2573 5 MP
DP
0 -58 -58 0 0 58 58 0 2604 2224 5 MP
DP
0 -58 -58 0 0 58 58 0 3234 1860 5 MP
DP
0 -58 -58 0 0 58 58 0 3865 1471 5 MP
DP
0 -58 -58 0 0 58 58 0 4496 1125 5 MP
DP
0 -58 -58 0 0 58 58 0 5127 652 5 MP
DP
DA
gs 741 350 4416 3803 rc
/c12 { 0.750000 0.000000 0.750000 sr} bdef
c12
631 -343 631 -389 630 -362 631 -345 631 -289 630 -190 741 3073 7 MP stroke
gr

c12
SO
 705 3073 mt  777 3073 L
 741 3037 mt  741 3109 L
1335 2883 mt 1407 2883 L
1371 2847 mt 1371 2919 L
1966 2594 mt 2038 2594 L
2002 2558 mt 2002 2630 L
2597 2249 mt 2669 2249 L
2633 2213 mt 2633 2285 L
3227 1887 mt 3299 1887 L
3263 1851 mt 3263 1923 L
3858 1498 mt 3930 1498 L
3894 1462 mt 3894 1534 L
4489 1155 mt 4561 1155 L
4525 1119 mt 4525 1191 L
 716 3048 mt  766 3098 L
 766 3048 mt  716 3098 L
1346 2858 mt 1396 2908 L
1396 2858 mt 1346 2908 L
1977 2569 mt 2027 2619 L
2027 2569 mt 1977 2619 L
2608 2224 mt 2658 2274 L
2658 2224 mt 2608 2274 L
3238 1862 mt 3288 1912 L
3288 1862 mt 3238 1912 L
3869 1473 mt 3919 1523 L
3919 1473 mt 3869 1523 L
4500 1130 mt 4550 1180 L
4550 1130 mt 4500 1180 L
DA
gs 741 350 4416 3803 rc
DD
c10
631 -1051 631 -669 630 -401 631 -229 631 -117 630 11 741 3278 7 MP stroke
gr

c10
DD
SO
41 71 -82 0 41 -71 741 3325 4 MP
DP
41 71 -82 0 41 -71 1371 3336 4 MP
DP
41 71 -82 0 41 -71 2002 3219 4 MP
DP
41 71 -82 0 41 -71 2633 2990 4 MP
DP
41 71 -82 0 41 -71 3263 2589 4 MP
DP
41 71 -82 0 41 -71 3894 1920 4 MP
DP
41 71 -82 0 41 -71 4525 869 4 MP
DP
DD
gs 741 350 4416 3803 rc
SO
0 sg
631 -619 631 -468 631 -366 630 -276 631 -217 631 -174 630 -51 741 3959 8 MP stroke
gr

0 sg
SO
-71 41 0 -82 71 41 694 3959 4 MP
DP
-71 41 0 -82 71 41 1324 3908 4 MP
DP
-71 41 0 -82 71 41 1955 3734 4 MP
DP
-71 41 0 -82 71 41 2586 3517 4 MP
DP
-71 41 0 -82 71 41 3216 3241 4 MP
DP
-71 41 0 -82 71 41 3847 2875 4 MP
DP
-71 41 0 -82 71 41 4478 2407 4 MP
DP
-71 41 0 -82 71 41 5109 1788 4 MP
DP
gs 741 350 4416 3803 rc
gr

2370 4440 mt 
(Dimension \(log scale\)) s
 488 2818 mt  -90 rotate
(log\(time per iteration\)) s
90 rotate
1321  255 mt 
(Average time per iteration vs. dimension for random problem\
s) s
 724 4195 mt 
( ) s
5140  392 mt 
( ) s
1 sg
0 1064 652 0 0 -1064 800 1474 4 MP
PP
-652 0 0 1064 652 0 0 -1064 800 1474 5 MP stroke
4 w
DO
SO
6 w
0 sg
 800 1474 mt 1452 1474 L
 800  410 mt 1452  410 L
 800 1474 mt  800  410 L
1452 1474 mt 1452  410 L
 800 1474 mt 1452 1474 L
 800 1474 mt  800  410 L
 800 1474 mt 1452 1474 L
 800  410 mt 1452  410 L
 800 1474 mt  800  410 L
1452 1474 mt 1452  410 L
1266  545 mt 
(A1) s
gs 800 410 653 1065 rc
c8
358 0 871 502 2 MP stroke
gs 977 429 147 147 rc
1025  477 mt 1075  527 L
1075  477 mt 1025  527 L
gr

gr

c8
0 sg
1266  691 mt 
(A2) s
gs 800 410 653 1065 rc
DA
c9
358 0 871 649 2 MP stroke
SO
gs 977 576 147 147 rc
  36   36 1050  649 FO
gr

gr

c9
0 sg
1266  838 mt 
(A3) s
gs 800 410 653 1065 rc
c10
358 0 871 795 2 MP stroke
gs 977 722 147 147 rc
1014  795 mt 1086  795 L
1050  759 mt 1050  831 L
gr

gr

c10
0 sg
1266  985 mt 
(A4) s
gs 800 410 653 1065 rc
DA
c11
358 0 871 942 2 MP stroke
SO
gs 977 869 147 147 rc
0 -58 -58 0 0 58 58 0 1021 913 5 MP
DP
gr

gr

c11
0 sg
1266 1131 mt 
(A5) s
gs 800 410 653 1065 rc
DA
c12
358 0 871 1088 2 MP stroke
SO
gs 977 1015 147 147 rc
1014 1088 mt 1086 1088 L
1050 1052 mt 1050 1124 L
1025 1063 mt 1075 1113 L
1075 1063 mt 1025 1113 L
gr

gr

c12
0 sg
1266 1278 mt 
(A6) s
gs 800 410 653 1065 rc
DD
c10
358 0 871 1234 2 MP stroke
SO
gs 977 1161 147 147 rc
41 71 -82 0 41 -71 1050 1281 4 MP
DP
gr

gr

c10
0 sg
1266 1424 mt 
(A7) s
gs 800 410 653 1065 rc
358 0 871 1381 2 MP stroke
gs 977 1308 147 147 rc
-71 41 0 -82 71 41 1003 1381 4 MP
DP
gr

gr


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