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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 13 /fl put
dup 19 /acute put
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 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 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 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T 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 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 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{-39 -250 1036 750}readonly def
/UniqueID 5000792 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: MSAM10
%!PS-AdobeFont-1.1: MSAM10 2.1
%%CreationDate: 1993 Sep 17 09:05:00
% 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 (MSAM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSAM10 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 3 /square put
readonly def
/FontBBox{8 -463 1331 1003}readonly def
/UniqueID 5031981 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 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 58 /colon put
dup 73 /I put
dup 80 /P put
dup 84 /T put
dup 86 /V put
dup 97 /a put
dup 101 /e put
dup 102 /f put
dup 104 /h put
dup 105 /i put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 114 /r put
dup 116 /t put
dup 118 /v put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
/UniqueID 5000768 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR6
%!PS-AdobeFont-1.1: CMR6 1.0
%%CreationDate: 1991 Aug 20 16:39:02
% 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 (CMR6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR6 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 49 /one put
readonly def
/FontBBox{-20 -250 1193 750}readonly def
/UniqueID 5000789 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMTT8
%!PS-AdobeFont-1.1: CMTT8 1.0
%%CreationDate: 1991 Aug 20 16:46:05
% 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 (CMTT8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch true def
end readonly def
/FontName /CMTT8 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 46 /period put
dup 64 /at 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 119 /w put
dup 122 /z put
readonly def
/FontBBox{-5 -232 545 699}readonly def
/UniqueID 5000830 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 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 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 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U 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 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 121 /y put
dup 122 /z put
dup 127 /dieresis put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
/UniqueID 5000791 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSY6
%!PS-AdobeFont-1.1: CMSY6 1.0
%%CreationDate: 1991 Aug 15 07:21:34
% 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 (CMSY6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY6 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 3 /asteriskmath put
dup 120 /section put
dup 121 /dagger put
dup 122 /daggerdbl put
readonly def
/FontBBox{-4 -948 1329 786}readonly def
/UniqueID 5000816 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR7
%!PS-AdobeFont-1.1: CMR7 1.0
%%CreationDate: 1991 Aug 20 16:39:21
% 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 (CMR7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR7 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 49 /one put
dup 50 /two put
dup 53 /five put
readonly def
/FontBBox{-27 -250 1122 750}readonly def
/UniqueID 5000790 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 13 /fl put
dup 40 /parenleft put
dup 41 /parenright put
dup 45 /hyphen put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 53 /five put
dup 56 /eight put
dup 58 /colon put
dup 67 /C put
dup 69 /E put
dup 70 /F put
dup 72 /H put
dup 73 /I 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 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
/FontBBox{-163 -250 1146 969}readonly def
/UniqueID 5000828 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% 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 (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI10 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 25 /pi put
dup 59 /comma put
dup 60 /less put
dup 61 /slash put
dup 69 /E put
dup 71 /G put
dup 79 /O put
dup 80 /P 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 105 /i put
dup 107 /k put
dup 108 /l put
dup 110 /n put
dup 114 /r put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% 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 (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI7 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 71 /G put
dup 72 /H put
dup 99 /c put
dup 105 /i put
dup 107 /k put
dup 114 /r put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% 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 (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 20 /lessequal put
dup 21 /greaterequal put
dup 26 /propersubset put
dup 50 /element put
dup 84 /T put
dup 91 /union put
dup 102 /braceleft put
dup 103 /braceright put
dup 110 /backslash put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5000820 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSSBX10
%!PS-AdobeFont-1.1: CMSSBX10 1.0
%%CreationDate: 1991 Aug 20 16:43:06
% 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 (CMSSBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMSSBX10 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 45 /hyphen put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 73 /I put
dup 76 /L put
dup 80 /P put
dup 82 /R 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 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 119 /w put
dup 121 /y put
readonly def
/FontBBox{-71 -250 1099 780}readonly def
/UniqueID 5000806 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSY7
%!PS-AdobeFont-1.1: CMSY7 1.0
%%CreationDate: 1991 Aug 15 07:21:52
% 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 (CMSY7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY7 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 3 /asteriskmath put
dup 48 /prime put
dup 120 /section put
dup 121 /dagger put
dup 122 /daggerdbl put
readonly def
/FontBBox{-15 -951 1252 782}readonly def
/UniqueID 5000817 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 1 /Delta put
dup 2 /Theta put
dup 11 /ff put
dup 12 /fi put
dup 13 /fl put
dup 19 /acute 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 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 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 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 86 /V put
dup 87 /W 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 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
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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[ exch /dup load exch { mul exch dup } /forall load
/pop load dup ] cvx
] setcolorspace setcolor
} def
} ifelse
/customcolorimage where {
pop
}{
/customcolorimage {
gsave
[ exch /Separation exch dup 4 get exch /DeviceCMYK exch
0 4 getinterval cvx
[ exch /dup load exch { mul exch dup } /forall load
/pop load dup ] cvx
] setcolorspace
10 dict begin
/ImageType 1 def
/DataSource exch def
/ImageMatrix exch def
/BitsPerComponent exch def
/Height exch def
/Width exch def
/Decode [1 0] def
currentdict end
image
grestore
} def
} ifelse
% PDF color state
/sCol {
pdfLastStroke not {
pdfStroke aload length
dup 1 eq {
pop setgray
}{
dup 3 eq {
pop setrgbcolor
}{
4 eq {
setcmykcolor
}{
findcmykcustomcolor exch setcustomcolor
} ifelse
} ifelse
} ifelse
/pdfLastStroke true def /pdfLastFill false def
} if
} def
/fCol {
pdfLastFill not {
pdfFill aload length
dup 1 eq {
pop setgray
}{
dup 3 eq {
pop setrgbcolor
}{
4 eq {
setcmykcolor
}{
findcmykcustomcolor exch setcustomcolor
} ifelse
} ifelse
} ifelse
/pdfLastFill true def /pdfLastStroke false def
} if
} def
% build a font
/pdfMakeFont {
4 3 roll findfont
4 2 roll matrix scale makefont
dup length dict begin
{ 1 index /FID ne { def } { pop pop } ifelse } forall
/Encoding exch def
currentdict
end
definefont pop
} def
/pdfMakeFont16 {
exch findfont
dup length dict begin
{ 1 index /FID ne { def } { pop pop } ifelse } forall
/WMode exch def
currentdict
end
definefont pop
} def
/pdfMakeFont16L3 {
1 index /CIDFont resourcestatus {
pop pop 1 index /CIDFont findresource /CIDFontType known
} {
false
} ifelse
{
0 eq { /Identity-H } { /Identity-V } ifelse
exch 1 array astore composefont pop
} {
pdfMakeFont16
} ifelse
} def
% graphics state operators
/q { gsave pdfDictSize dict begin } def
/Q { end grestore } def
/cm { concat } def
/d { setdash } def
/i { setflat } def
/j { setlinejoin } def
/J { setlinecap } def
/M { setmiterlimit } def
/w { setlinewidth } def
% color operators
/g { dup 1 array astore /pdfFill exch def setgray
/pdfLastFill true def /pdfLastStroke false def } def
/G { dup 1 array astore /pdfStroke exch def setgray
/pdfLastStroke true def /pdfLastFill false def } def
/rg { 3 copy 3 array astore /pdfFill exch def setrgbcolor
/pdfLastFill true def /pdfLastStroke false def } def
/RG { 3 copy 3 array astore /pdfStroke exch def setrgbcolor
/pdfLastStroke true def /pdfLastFill false def } def
/k { 4 copy 4 array astore /pdfFill exch def setcmykcolor
/pdfLastFill true def /pdfLastStroke false def } def
/K { 4 copy 4 array astore /pdfStroke exch def setcmykcolor
/pdfLastStroke true def /pdfLastFill false def } def
/ck { 6 copy 6 array astore /pdfFill exch def
findcmykcustomcolor exch setcustomcolor
/pdfLastFill true def /pdfLastStroke false def } def
/CK { 6 copy 6 array astore /pdfStroke exch def
findcmykcustomcolor exch setcustomcolor
/pdfLastStroke true def /pdfLastFill false def } def
% path segment operators
/m { moveto } def
/l { lineto } def
/c { curveto } def
/re { 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
neg 0 rlineto closepath } def
/h { closepath } def
% path painting operators
/S { sCol stroke } def
/Sf { fCol stroke } def
/f { fCol fill } def
/f* { fCol eofill } def
% clipping operators
/W { clip newpath } def
/W* { eoclip newpath } def
% text state operators
/Tc { /pdfCharSpacing exch def } def
/Tf { dup /pdfFontSize exch def
dup pdfHorizScaling mul exch matrix scale
pdfTextMat matrix concatmatrix dup 4 0 put dup 5 0 put
exch findfont exch makefont setfont } def
/Tr { /pdfTextRender exch def } def
/Ts { /pdfTextRise exch def } def
/Tw { /pdfWordSpacing exch def } def
/Tz { /pdfHorizScaling exch def } def
% text positioning operators
/Td { pdfTextMat transform moveto } def
/Tm { /pdfTextMat exch def } def
% text string operators
/awcp { % awidthcharpath
exch {
1 string dup 0 3 index put 2 index charpath
3 index 3 index rmoveto
4 index eq { 5 index 5 index rmoveto } if
} forall
6 {pop} repeat
} def
/Tj { fCol
0 pdfTextRise pdfTextMat dtransform rmoveto
1 index stringwidth pdfTextMat idtransform pop
sub 1 index length dup 0 ne { div } { pop pop 0 } ifelse
pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32
4 3 roll pdfCharSpacing pdfHorizScaling mul add 0
pdfTextMat dtransform
6 5 roll
currentpoint 8 2 roll
pdfTextRender 1 and 0 eq {
6 copy awidthshow
} if
pdfTextRender 3 and dup 1 eq exch 2 eq or {
8 6 roll moveto
currentfont /FontType get 3 eq { fCol } { sCol } ifelse
false awcp currentpoint stroke moveto
} {
8 {pop} repeat
} ifelse
0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
/Tj16 { pdfTextRender 1 and 0 eq { fCol } { sCol } ifelse
0 pdfTextRise pdfTextMat dtransform rmoveto
2 index stringwidth pdfTextMat idtransform pop
sub exch div
pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32
4 3 roll pdfCharSpacing pdfHorizScaling mul add 0
pdfTextMat dtransform
6 5 roll awidthshow
0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
/Tj16V { pdfTextRender 1 and 0 eq { fCol } { sCol } ifelse
0 pdfTextRise pdfTextMat dtransform rmoveto
2 index stringwidth pdfTextMat idtransform exch pop
sub exch div
0 pdfWordSpacing pdfTextMat dtransform 32
4 3 roll pdfCharSpacing add 0 exch
pdfTextMat dtransform
6 5 roll awidthshow
0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
/TJm { pdfFontSize 0.001 mul mul neg 0
pdfTextMat dtransform rmoveto } def
/TJmV { pdfFontSize 0.001 mul mul neg 0 exch
pdfTextMat dtransform rmoveto } def
% Level 1 image operators
/pdfIm1 {
/pdfImBuf1 4 index string def
{ currentfile pdfImBuf1 readhexstring pop } image
} def
/pdfIm1Sep {
/pdfImBuf1 4 index string def
/pdfImBuf2 4 index string def
/pdfImBuf3 4 index string def
/pdfImBuf4 4 index string def
{ currentfile pdfImBuf1 readhexstring pop }
{ currentfile pdfImBuf2 readhexstring pop }
{ currentfile pdfImBuf3 readhexstring pop }
{ currentfile pdfImBuf4 readhexstring pop }
true 4 colorimage
} def
/pdfImM1 {
/pdfImBuf1 4 index 7 add 8 idiv string def
{ currentfile pdfImBuf1 readhexstring pop } imagemask
} def
% Level 2 image operators
/pdfImBuf 100 string def
/pdfIm {
image
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImSep {
findcmykcustomcolor exch
dup /Width get /pdfImBuf1 exch string def
begin Width Height BitsPerComponent ImageMatrix DataSource end
/pdfImData exch def
{ pdfImData pdfImBuf1 readstring pop
0 1 2 index length 1 sub {
1 index exch 2 copy get 255 exch sub put
} for }
6 5 roll customcolorimage
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImM {
fCol imagemask
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
end
%%EndResource
%%EndProlog
%%BeginSetup
xpdf begin
%%BeginResource: font PJGNOP+CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% 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 (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /PJGNOP+CMMI10 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 59 /comma put
dup 84 /T put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 116 /t put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F4_0 /PJGNOP+CMMI10 1 1
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/comma/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/T/.notdef/.notdef/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef]
pdfMakeFont
%%BeginResource: font NDFXBD+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 /NDFXBD+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 40 /parenleft put
dup 41 /parenright put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F7_0 /NDFXBD+CMR10 1 1
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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Fl(u)3289 330 y Fm(c)3323 318 y Fl(;)14 b(v)3400 330
y Fm(c)3434 318 y Fq(\))34 b(connecting)f(t)n(w)n(o)2050
418 y(con)n(v)n(ex)g(v)n(ertices)g(with)i Fl(l)r Fq(\()p
Fl(u)2939 430 y Fm(c)2972 418 y Fq(\))f Fn(\024)g Fq(3)g(and)g
Fl(l)r Fq(\()p Fl(v)3480 430 y Fm(c)3514 418 y Fq(\))h
Fn(\024)f Fq(2.)56 b(Let)35 b Fl(w)4016 430 y Fm(c)2050
517 y Fq(denote)25 b(the)g(\014rst)g(con)n(v)n(ex)f(v)n(ertex)h(w)n(e)f
(encoun)n(ter)h(when)g(w)n(alk-)2050 617 y(ing)30 b(a)n(w)n(a)n(y)f
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b Fq(not)31 b(passing)e(o)n(v)n(er)g Fl(v)3593 629 y
Fm(c)3627 617 y Fq(.)46 b(W)-7 b(e)31 b(prune)2050 716
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Fm(c)2577 916 y Fq(\))28 b(and)f Fl(v)2838 928 y Fm(c)2895
916 y Fq(=)c Fl(t)p Fq(\()p Fl(v)3085 928 y Fm(c)3119
916 y Fq(\).)2097 1718 y @beginspecial 54 @llx 414 @lly
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef]
pdfMakeFont
%%BeginResource: font DSYFJI+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 /DSYFJI+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 40 /parenleft put
dup 41 /parenright put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F7_0 /DSYFJI+CMR10 1 1
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef]
pdfMakeFont
%%BeginResource: font CJCOXV+CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% 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 (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CJCOXV+CMMI7 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 99 /c put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F10_0 /CJCOXV+CMMI7 1 1
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef]
pdfMakeFont
%%BeginResource: font FQWRSL+CMR5
%!PS-AdobeFont-1.1: CMR5 1.00B
%%CreationDate: 1992 Feb 19 19:55:02
% 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 (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /FQWRSL+CMR5 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 49 /one put
dup 51 /three put
readonly def
/FontBBox{-341 -250 1304 965}readonly def
/UniqueID 5000788 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F13_0 /FQWRSL+CMR5 1 1
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pdfMakeFont
%%BeginResource: font KVJTTQ+CMSY7
%!PS-AdobeFont-1.1: CMSY7 1.0
%%CreationDate: 1991 Aug 15 07:21:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
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/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /KVJTTQ+CMSY7 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 /prime put
readonly def
/FontBBox{-15 -951 1252 782}readonly def
/UniqueID 5000817 def
currentdict end
currentfile eexec
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pdfMakeFont
%%EndSetup
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%78.7933 447.528 m
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%
%
%78.7933 447.528 m
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%
%
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%
%
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%
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%
%
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%
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%
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%
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[] 0 d
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0 J
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1 w
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W
q
q
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h
f*
Q
q
1.2 w
0.5 G
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S
Q
q
1.2 w
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1 j
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S
Q
q
[2 2] 0 d
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Q
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S
Q
q
q
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h
f*
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h
S
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h
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h
f*
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q
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Q
q
[1 0 0 1 119.75 462.551] cm
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0 g
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[1 0 0 1 0 0] Tm
0 0 Td
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Q
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[1 0 0 1 88.9349 477.221] cm
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showpage
%%PageTrailer
pdfEndPage
%%Trailer
end
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%%EndDocument
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exch 1 array astore composefont pop
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pdfMakeFont16
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/J { setlinecap } def
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/G { dup 1 array astore /pdfStroke exch def setgray
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/rg { 3 copy 3 array astore /pdfFill exch def setrgbcolor
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/RG { 3 copy 3 array astore /pdfStroke exch def setrgbcolor
/pdfLastStroke true def /pdfLastFill false def } def
/k { 4 copy 4 array astore /pdfFill exch def setcmykcolor
/pdfLastFill true def /pdfLastStroke false def } def
/K { 4 copy 4 array astore /pdfStroke exch def setcmykcolor
/pdfLastStroke true def /pdfLastFill false def } def
/ck { 6 copy 6 array astore /pdfFill exch def
findcmykcustomcolor exch setcustomcolor
/pdfLastFill true def /pdfLastStroke false def } def
/CK { 6 copy 6 array astore /pdfStroke exch def
findcmykcustomcolor exch setcustomcolor
/pdfLastStroke true def /pdfLastFill false def } def
% path segment operators
/m { moveto } def
/l { lineto } def
/c { curveto } def
/re { 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
neg 0 rlineto closepath } def
/h { closepath } def
% path painting operators
/S { sCol stroke } def
/Sf { fCol stroke } def
/f { fCol fill } def
/f* { fCol eofill } def
% clipping operators
/W { clip newpath } def
/W* { eoclip newpath } def
% text state operators
/Tc { /pdfCharSpacing exch def } def
/Tf { dup /pdfFontSize exch def
dup pdfHorizScaling mul exch matrix scale
pdfTextMat matrix concatmatrix dup 4 0 put dup 5 0 put
exch findfont exch makefont setfont } def
/Tr { /pdfTextRender exch def } def
/Ts { /pdfTextRise exch def } def
/Tw { /pdfWordSpacing exch def } def
/Tz { /pdfHorizScaling exch def } def
% text positioning operators
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/Tm { /pdfTextMat exch def } def
% text string operators
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1 string dup 0 3 index put 2 index charpath
3 index 3 index rmoveto
4 index eq { 5 index 5 index rmoveto } if
} forall
6 {pop} repeat
} def
/Tj { fCol
0 pdfTextRise pdfTextMat dtransform rmoveto
1 index stringwidth pdfTextMat idtransform pop
sub 1 index length dup 0 ne { div } { pop pop 0 } ifelse
pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32
4 3 roll pdfCharSpacing pdfHorizScaling mul add 0
pdfTextMat dtransform
6 5 roll
currentpoint 8 2 roll
pdfTextRender 1 and 0 eq {
6 copy awidthshow
} if
pdfTextRender 3 and dup 1 eq exch 2 eq or {
8 6 roll moveto
currentfont /FontType get 3 eq { fCol } { sCol } ifelse
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} {
8 {pop} repeat
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0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
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0 pdfTextRise pdfTextMat dtransform rmoveto
2 index stringwidth pdfTextMat idtransform pop
sub exch div
pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32
4 3 roll pdfCharSpacing pdfHorizScaling mul add 0
pdfTextMat dtransform
6 5 roll awidthshow
0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
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0 pdfTextRise pdfTextMat dtransform rmoveto
2 index stringwidth pdfTextMat idtransform exch pop
sub exch div
0 pdfWordSpacing pdfTextMat dtransform 32
4 3 roll pdfCharSpacing add 0 exch
pdfTextMat dtransform
6 5 roll awidthshow
0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
/TJm { pdfFontSize 0.001 mul mul neg 0
pdfTextMat dtransform rmoveto } def
/TJmV { pdfFontSize 0.001 mul mul neg 0 exch
pdfTextMat dtransform rmoveto } def
% Level 1 image operators
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{ currentfile pdfImBuf1 readhexstring pop } image
} def
/pdfIm1Sep {
/pdfImBuf1 4 index string def
/pdfImBuf2 4 index string def
/pdfImBuf3 4 index string def
/pdfImBuf4 4 index string def
{ currentfile pdfImBuf1 readhexstring pop }
{ currentfile pdfImBuf2 readhexstring pop }
{ currentfile pdfImBuf3 readhexstring pop }
{ currentfile pdfImBuf4 readhexstring pop }
true 4 colorimage
} def
/pdfImM1 {
/pdfImBuf1 4 index 7 add 8 idiv string def
{ currentfile pdfImBuf1 readhexstring pop } imagemask
} def
% Level 2 image operators
/pdfImBuf 100 string def
/pdfIm {
image
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImSep {
findcmykcustomcolor exch
dup /Width get /pdfImBuf1 exch string def
begin Width Height BitsPerComponent ImageMatrix DataSource end
/pdfImData exch def
{ pdfImData pdfImBuf1 readstring pop
0 1 2 index length 1 sub {
1 index exch 2 copy get 255 exch sub put
} for }
6 5 roll customcolorimage
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImM {
fCol imagemask
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
end
%%EndResource
%%EndProlog
%%BeginSetup
xpdf begin
%%BeginResource: font COYFMF+CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% 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 (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
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/isFixedPitch false def
end readonly def
/FontName /COYFMF+CMMI10 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 80 /P put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F4_0 /COYFMF+CMMI10 1 1
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef]
pdfMakeFont
%%BeginResource: font ZCTNRI+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 /ZCTNRI+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 40 /parenleft put
dup 41 /parenright put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F7_0 /ZCTNRI+CMR10 1 1
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pdfMakeFont
%%BeginResource: font TTDULJ+CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% 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 (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /TTDULJ+CMMI7 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
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readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec
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pdfMakeFont
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%!PS-AdobeFont-1.1: CMR5 1.00B
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
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dup 43 /plus put
dup 49 /one put
dup 50 /two put
dup 51 /three put
readonly def
/FontBBox{-341 -250 1304 965}readonly def
/UniqueID 5000788 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F13_0 /JUHFTV+CMR5 1 1
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pdfMakeFont
%%BeginResource: font RDALFL+CMR7
%!PS-AdobeFont-1.1: CMR7 1.0
%%CreationDate: 1991 Aug 20 16:39:21
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
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0 1 255 {1 index exch /.notdef put} for
dup 49 /one put
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dup 51 /three put
readonly def
/FontBBox{-27 -250 1122 750}readonly def
/UniqueID 5000790 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F16_0 /RDALFL+CMR7 1 1
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pdfMakeFont
%%EndSetup
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%81.6417 447.214 m
%93.5275 459.717 l
%98.2134 474.422 l
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%118.959 466.744 l
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%
%
%78.7933 447.528 m
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%
%
%92.8473 474.426 m
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%
%
%128.953 471.168 m
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%
%
%133.873 441.888 m
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%
%$t(w_c)$
%
%95.8989 434.899 m
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%
%
%116.857 429.196 m
%110.441 466.835 l
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%
%
%109.301 423.35 m
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%$u_c$
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%$+2$
%
%63.3887 450.264 m
%57.2227 451.954
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%
%
%114.05 423.156 m
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%
%
%142.887 428.349 m
%143.251 422.753
%145.827 419.318
%159.712 416.169
%165.294 423.755
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@endspecial 3481 1842 a(\(b\))2209 2008 y Fq(Figure)k(2:)37
b(A)28 b(loaded)f(edge)g(of)g(t)n(yp)r(e)h(I:)g(pruning)f
Fl(u)3834 2020 y Fm(c)3867 2008 y Fq(.)2133 2168 y(If)k(the)g(side)f(c)
n(hain)g(connecting)g Fl(t)p Fq(\()p Fl(w)3295 2180 y
Fm(c)3330 2168 y Fq(\))h(to)f Fl(v)3537 2180 y Fm(c)3602
2168 y Fq(consists)g(of)g(a)2050 2268 y(single)i(diagonal)g(\(see)g
(Figure)h(2\(a\)\),)h(then)g(the)f(p)r(olygon)f Fl(P)4027
2238 y Fp(0)2050 2368 y Fq(formed)j(b)n(y)h(pruning)g
Fl(u)2827 2380 y Fm(c)2897 2368 y Fq(from)g Fl(P)48 b
Fq(has)35 b(exactly)h(one)g(loaded)2050 2467 y(edge)c(of)h(either)g(t)n
(yp)r(e)h(I)f(\(if)h Fl(t)p Fq(\()p Fl(w)3076 2479 y
Fm(c)3110 2467 y Fq(\))f(is)g(con)n(v)n(ex\))f(or)h(t)n(yp)r(e)g(I)r(I)
g(\(if)2050 2567 y Fl(t)p Fq(\()p Fl(w)2171 2579 y Fm(c)2205
2567 y Fq(\))28 b(is)g(re\015ex\).)2133 2667 y(If)21
b(the)g(side)f(c)n(hain)g(connecting)h Fl(t)p Fq(\()p
Fl(w)3246 2679 y Fm(c)3280 2667 y Fq(\))g(to)g Fl(v)3468
2679 y Fm(c)3522 2667 y Fq(consists)f(of)h(sev-)2050
2767 y(eral)i(diagonals,)h(then)h(eac)n(h)f(p)r(olygon)f
Fl(P)3327 2779 y Fm(i)3380 2767 y Fq(formed)h(b)n(y)g(pruning)2050
2867 y Fl(u)2098 2879 y Fm(c)2151 2867 y Fq(from)d Fl(P)32
b Fq(has)20 b(exactly)g(one)g(loaded)f(edge)h(\(see)h(Figure)e
(2\(b\)\).)2050 2966 y(Eac)n(h)33 b(v)n(ertex)g(that)i(newly)f(app)r
(ears)f(on)h(the)h(side)f(c)n(hain)g(b)r(e-)2050 3066
y(longs)21 b(to)h(t)n(w)n(o)f(subp)r(olygons)g(and)h(is)g(con)n(v)n(ex)
f(in)i(b)r(oth)f(of)g(them.)2050 3166 y(T)-7 b(o)23 b(ensure)g(that)h
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4162 y(t)n(yp)r(e)e(I.)2050 4307 y Fo(T)-8 b(yp)s(e)32
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4752 y Fo(2.2)60 b(W)m(rap.)83 b Fq(Assume)33 b(that)f(w)n(e)g(are)f
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Fq(of)g(either)g(t)n(yp)r(e)h(I)r(I)r(I)g(or)f(IV.)g(The)h(op)r
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5250 y(endp)r(oin)n(ts)20 b(of)h Fl(e)f Fq(are)f(completely)i(co)n(v)n
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/pdfLastFill true def /pdfLastStroke false def } def
/RG { 3 copy 3 array astore /pdfStroke exch def setrgbcolor
/pdfLastStroke true def /pdfLastFill false def } def
/k { 4 copy 4 array astore /pdfFill exch def setcmykcolor
/pdfLastFill true def /pdfLastStroke false def } def
/K { 4 copy 4 array astore /pdfStroke exch def setcmykcolor
/pdfLastStroke true def /pdfLastFill false def } def
/ck { 6 copy 6 array astore /pdfFill exch def
findcmykcustomcolor exch setcustomcolor
/pdfLastFill true def /pdfLastStroke false def } def
/CK { 6 copy 6 array astore /pdfStroke exch def
findcmykcustomcolor exch setcustomcolor
/pdfLastStroke true def /pdfLastFill false def } def
% path segment operators
/m { moveto } def
/l { lineto } def
/c { curveto } def
/re { 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
neg 0 rlineto closepath } def
/h { closepath } def
% path painting operators
/S { sCol stroke } def
/Sf { fCol stroke } def
/f { fCol fill } def
/f* { fCol eofill } def
% clipping operators
/W { clip newpath } def
/W* { eoclip newpath } def
% text state operators
/Tc { /pdfCharSpacing exch def } def
/Tf { dup /pdfFontSize exch def
dup pdfHorizScaling mul exch matrix scale
pdfTextMat matrix concatmatrix dup 4 0 put dup 5 0 put
exch findfont exch makefont setfont } def
/Tr { /pdfTextRender exch def } def
/Ts { /pdfTextRise exch def } def
/Tw { /pdfWordSpacing exch def } def
/Tz { /pdfHorizScaling exch def } def
% text positioning operators
/Td { pdfTextMat transform moveto } def
/Tm { /pdfTextMat exch def } def
% text string operators
/awcp { % awidthcharpath
exch {
1 string dup 0 3 index put 2 index charpath
3 index 3 index rmoveto
4 index eq { 5 index 5 index rmoveto } if
} forall
6 {pop} repeat
} def
/Tj { fCol
0 pdfTextRise pdfTextMat dtransform rmoveto
1 index stringwidth pdfTextMat idtransform pop
sub 1 index length dup 0 ne { div } { pop pop 0 } ifelse
pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32
4 3 roll pdfCharSpacing pdfHorizScaling mul add 0
pdfTextMat dtransform
6 5 roll
currentpoint 8 2 roll
pdfTextRender 1 and 0 eq {
6 copy awidthshow
} if
pdfTextRender 3 and dup 1 eq exch 2 eq or {
8 6 roll moveto
currentfont /FontType get 3 eq { fCol } { sCol } ifelse
false awcp currentpoint stroke moveto
} {
8 {pop} repeat
} ifelse
0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
/Tj16 { pdfTextRender 1 and 0 eq { fCol } { sCol } ifelse
0 pdfTextRise pdfTextMat dtransform rmoveto
2 index stringwidth pdfTextMat idtransform pop
sub exch div
pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32
4 3 roll pdfCharSpacing pdfHorizScaling mul add 0
pdfTextMat dtransform
6 5 roll awidthshow
0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
/Tj16V { pdfTextRender 1 and 0 eq { fCol } { sCol } ifelse
0 pdfTextRise pdfTextMat dtransform rmoveto
2 index stringwidth pdfTextMat idtransform exch pop
sub exch div
0 pdfWordSpacing pdfTextMat dtransform 32
4 3 roll pdfCharSpacing add 0 exch
pdfTextMat dtransform
6 5 roll awidthshow
0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
/TJm { pdfFontSize 0.001 mul mul neg 0
pdfTextMat dtransform rmoveto } def
/TJmV { pdfFontSize 0.001 mul mul neg 0 exch
pdfTextMat dtransform rmoveto } def
% Level 1 image operators
/pdfIm1 {
/pdfImBuf1 4 index string def
{ currentfile pdfImBuf1 readhexstring pop } image
} def
/pdfIm1Sep {
/pdfImBuf1 4 index string def
/pdfImBuf2 4 index string def
/pdfImBuf3 4 index string def
/pdfImBuf4 4 index string def
{ currentfile pdfImBuf1 readhexstring pop }
{ currentfile pdfImBuf2 readhexstring pop }
{ currentfile pdfImBuf3 readhexstring pop }
{ currentfile pdfImBuf4 readhexstring pop }
true 4 colorimage
} def
/pdfImM1 {
/pdfImBuf1 4 index 7 add 8 idiv string def
{ currentfile pdfImBuf1 readhexstring pop } imagemask
} def
% Level 2 image operators
/pdfImBuf 100 string def
/pdfIm {
image
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImSep {
findcmykcustomcolor exch
dup /Width get /pdfImBuf1 exch string def
begin Width Height BitsPerComponent ImageMatrix DataSource end
/pdfImData exch def
{ pdfImData pdfImBuf1 readstring pop
0 1 2 index length 1 sub {
1 index exch 2 copy get 255 exch sub put
} for }
6 5 roll customcolorimage
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImM {
fCol imagemask
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
end
%%EndResource
%%EndProlog
%%BeginSetup
xpdf begin
%%BeginResource: font WHTKPW+CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% 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 (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /WHTKPW+CMMI10 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 80 /P put
dup 117 /u put
dup 118 /v put
dup 119 /w put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F4_0 /WHTKPW+CMMI10 1 1
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef]
pdfMakeFont
%%BeginResource: font WAUXTR+CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% 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 (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /WAUXTR+CMMI7 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 99 /c put
dup 114 /r put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F7_0 /WAUXTR+CMMI7 1 1
[ /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef]
pdfMakeFont
%%BeginResource: font MHHNAE+CMR5
%!PS-AdobeFont-1.1: CMR5 1.00B
%%CreationDate: 1992 Feb 19 19:55:02
% 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 (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MHHNAE+CMR5 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 49 /one put
dup 51 /three put
readonly def
/FontBBox{-341 -250 1304 965}readonly def
/UniqueID 5000788 def
currentdict end
currentfile eexec
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{ currentfile pdfImBuf1 readhexstring pop }
{ currentfile pdfImBuf2 readhexstring pop }
{ currentfile pdfImBuf3 readhexstring pop }
{ currentfile pdfImBuf4 readhexstring pop }
true 4 colorimage
} def
/pdfImM1 {
/pdfImBuf1 4 index 7 add 8 idiv string def
{ currentfile pdfImBuf1 readhexstring pop } imagemask
} def
% Level 2 image operators
/pdfImBuf 100 string def
/pdfIm {
image
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImSep {
findcmykcustomcolor exch
dup /Width get /pdfImBuf1 exch string def
begin Width Height BitsPerComponent ImageMatrix DataSource end
/pdfImData exch def
{ pdfImData pdfImBuf1 readstring pop
0 1 2 index length 1 sub {
1 index exch 2 copy get 255 exch sub put
} for }
6 5 roll customcolorimage
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImM {
fCol imagemask
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
end
%%EndResource
%%EndProlog
%%BeginSetup
xpdf begin
%%BeginResource: font NTQUZS+CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% 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 (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /NTQUZS+CMMI10 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 80 /P put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F4_0 /NTQUZS+CMMI10 1 1
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef]
pdfMakeFont
%%BeginResource: font UXRVTL+CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% 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 (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /UXRVTL+CMMI7 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 99 /c put
dup 114 /r put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
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pdfMakeFont
%%BeginResource: font VUWVPO+CMR5
%!PS-AdobeFont-1.1: CMR5 1.00B
%%CreationDate: 1992 Feb 19 19:55:02
% 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 (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /VUWVPO+CMR5 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 49 /one put
dup 50 /two put
dup 51 /three put
readonly def
/FontBBox{-341 -250 1304 965}readonly def
/UniqueID 5000788 def
currentdict end
currentfile eexec
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cleartomark
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pdfMakeFont
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
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dup 40 /parenleft put
dup 41 /parenright put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
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currentdict end
currentfile eexec
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cleartomark
%%EndResource
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pdfMakeFont
%%BeginResource: font BCXDHP+CMR7
%!PS-AdobeFont-1.1: CMR7 1.0
%%CreationDate: 1991 Aug 20 16:39:21
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
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readonly def
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/UniqueID 5000790 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F16_0 /BCXDHP+CMR7 1 1
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pdfMakeFont
%%EndSetup
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%
%71.2252 430.972 m
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%
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%
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%71.2252 430.972 m
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%
%
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%
%
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%
%
%136.275 498.945 m
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%
%$u_c$
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%$+1$
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1429 y(a)30 b(con)n(v)n(ex)e(v)n(ertex)h(with)h(a)g(re\015ex)f(v)n
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y Fm(r)219 1529 y Fq(is)g(at)g(most)f(t)n(w)n(o.)36 b(W)-7
b(e)26 b(sho)r(ot)f(a)g(ra)n(y)f(from)i Fl(v)1597 1541
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Fl(f)49 b Fq(the)41 b(\014rst)f(p)r(olygon)-150 1728
y(edge)35 b(hit)h(b)n(y)f(the)h(ra)n(y)e(\(Figure)h(4\(a\)\).)60
b(Let)36 b Fl(w)1390 1740 y Fm(c)1460 1728 y Fq(denote)f(the)-150
1828 y(\014rst)d(con)n(v)n(ex)e(v)n(ertex)h(w)n(e)h(encoun)n(ter)f
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(edges)g(of)h(t)n(yp)r(e)g(I.)g(W)-7 b(e)-150 2732 y(kindly)28
b(ask)f(the)i(reader)d(to)i(refer)g(to)f(Figure)h(4\(b\))g(for)g
(details)-150 2832 y(\(w)n(e)33 b(only)g(depict)g(the)h(case)e(where)g
(the)i(side)f(c)n(hains)f(consist)-150 2931 y(of)c(sev)n(eral)d
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/Tw { /pdfWordSpacing exch def } def
/Tz { /pdfHorizScaling exch def } def
% text positioning operators
/Td { pdfTextMat transform moveto } def
/Tm { /pdfTextMat exch def } def
% text string operators
/awcp { % awidthcharpath
exch {
1 string dup 0 3 index put 2 index charpath
3 index 3 index rmoveto
4 index eq { 5 index 5 index rmoveto } if
} forall
6 {pop} repeat
} def
/Tj { fCol
0 pdfTextRise pdfTextMat dtransform rmoveto
1 index stringwidth pdfTextMat idtransform pop
sub 1 index length dup 0 ne { div } { pop pop 0 } ifelse
pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32
4 3 roll pdfCharSpacing pdfHorizScaling mul add 0
pdfTextMat dtransform
6 5 roll
currentpoint 8 2 roll
pdfTextRender 1 and 0 eq {
6 copy awidthshow
} if
pdfTextRender 3 and dup 1 eq exch 2 eq or {
8 6 roll moveto
currentfont /FontType get 3 eq { fCol } { sCol } ifelse
false awcp currentpoint stroke moveto
} {
8 {pop} repeat
} ifelse
0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
/Tj16 { pdfTextRender 1 and 0 eq { fCol } { sCol } ifelse
0 pdfTextRise pdfTextMat dtransform rmoveto
2 index stringwidth pdfTextMat idtransform pop
sub exch div
pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32
4 3 roll pdfCharSpacing pdfHorizScaling mul add 0
pdfTextMat dtransform
6 5 roll awidthshow
0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
/Tj16V { pdfTextRender 1 and 0 eq { fCol } { sCol } ifelse
0 pdfTextRise pdfTextMat dtransform rmoveto
2 index stringwidth pdfTextMat idtransform exch pop
sub exch div
0 pdfWordSpacing pdfTextMat dtransform 32
4 3 roll pdfCharSpacing add 0 exch
pdfTextMat dtransform
6 5 roll awidthshow
0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
/TJm { pdfFontSize 0.001 mul mul neg 0
pdfTextMat dtransform rmoveto } def
/TJmV { pdfFontSize 0.001 mul mul neg 0 exch
pdfTextMat dtransform rmoveto } def
% Level 1 image operators
/pdfIm1 {
/pdfImBuf1 4 index string def
{ currentfile pdfImBuf1 readhexstring pop } image
} def
/pdfIm1Sep {
/pdfImBuf1 4 index string def
/pdfImBuf2 4 index string def
/pdfImBuf3 4 index string def
/pdfImBuf4 4 index string def
{ currentfile pdfImBuf1 readhexstring pop }
{ currentfile pdfImBuf2 readhexstring pop }
{ currentfile pdfImBuf3 readhexstring pop }
{ currentfile pdfImBuf4 readhexstring pop }
true 4 colorimage
} def
/pdfImM1 {
/pdfImBuf1 4 index 7 add 8 idiv string def
{ currentfile pdfImBuf1 readhexstring pop } imagemask
} def
% Level 2 image operators
/pdfImBuf 100 string def
/pdfIm {
image
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImSep {
findcmykcustomcolor exch
dup /Width get /pdfImBuf1 exch string def
begin Width Height BitsPerComponent ImageMatrix DataSource end
/pdfImData exch def
{ pdfImData pdfImBuf1 readstring pop
0 1 2 index length 1 sub {
1 index exch 2 copy get 255 exch sub put
} for }
6 5 roll customcolorimage
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImM {
fCol imagemask
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
end
%%EndResource
%%EndProlog
%%BeginSetup
xpdf begin
%%BeginResource: font VBOFEP+CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% 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 (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /VBOFEP+CMMI10 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 80 /P put
dup 102 /f put
dup 117 /u put
dup 118 /v put
dup 119 /w put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F4_0 /VBOFEP+CMMI10 1 1
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/P/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/f/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/u/v/w
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef]
pdfMakeFont
%%BeginResource: font BYRPAK+CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% 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 (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /BYRPAK+CMMI7 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 99 /c put
dup 114 /r put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F7_0 /BYRPAK+CMMI7 1 1
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef]
pdfMakeFont
%%BeginResource: font SFVKLJ+CMR5
%!PS-AdobeFont-1.1: CMR5 1.00B
%%CreationDate: 1992 Feb 19 19:55:02
% 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 (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /SFVKLJ+CMR5 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 50 /two put
readonly def
/FontBBox{-341 -250 1304 965}readonly def
/UniqueID 5000788 def
currentdict end
currentfile eexec
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/pdfImSep {
findcmykcustomcolor exch
dup /Width get /pdfImBuf1 exch string def
begin Width Height BitsPerComponent ImageMatrix DataSource end
/pdfImData exch def
{ pdfImData pdfImBuf1 readstring pop
0 1 2 index length 1 sub {
1 index exch 2 copy get 255 exch sub put
} for }
6 5 roll customcolorimage
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImM {
fCol imagemask
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
end
%%EndResource
%%EndProlog
%%BeginSetup
xpdf begin
%%BeginResource: font BEWXZW+CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% 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 (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /BEWXZW+CMMI10 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 80 /P put
dup 102 /f put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F4_0 /BEWXZW+CMMI10 1 1
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef]
pdfMakeFont
%%BeginResource: font RSWFRG+CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% 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 (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /RSWFRG+CMMI7 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 99 /c put
dup 114 /r put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F7_0 /RSWFRG+CMMI7 1 1
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pdfMakeFont
%%BeginResource: font PNSVKR+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 /PNSVKR+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 40 /parenleft put
dup 41 /parenright put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F10_0 /PNSVKR+CMR10 1 1
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pdfMakeFont
%%BeginResource: font QBXCMD+CMR5
%!PS-AdobeFont-1.1: CMR5 1.00B
%%CreationDate: 1992 Feb 19 19:55:02
% 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 (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /QBXCMD+CMR5 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 49 /one put
dup 50 /two put
dup 51 /three put
readonly def
/FontBBox{-341 -250 1304 965}readonly def
/UniqueID 5000788 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F13_0 /QBXCMD+CMR5 1 1
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pdfMakeFont
%%BeginResource: font FITOMK+CMR7
%!PS-AdobeFont-1.1: CMR7 1.0
%%CreationDate: 1991 Aug 20 16:39:21
% 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 (CMR7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
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end readonly def
/FontName /FITOMK+CMR7 def
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/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
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{-27 -250 1122 750}readonly def
/UniqueID 5000790 def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
/F16_0 /FITOMK+CMR7 1 1
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pop setgray
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pop setrgbcolor
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4 eq {
setcmykcolor
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pop setgray
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dup 3 eq {
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4 eq {
setcmykcolor
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findcmykcustomcolor exch setcustomcolor
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4 2 roll matrix scale makefont
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currentdict
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currentdict
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false
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} {
pdfMakeFont16
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% graphics state operators
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/Q { end grestore } def
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/d { setdash } def
/i { setflat } def
/j { setlinejoin } def
/J { setlinecap } def
/M { setmiterlimit } def
/w { setlinewidth } def
% color operators
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/pdfLastStroke true def /pdfLastFill false def } def
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/CK { 6 copy 6 array astore /pdfStroke exch def
findcmykcustomcolor exch setcustomcolor
/pdfLastStroke true def /pdfLastFill false def } def
% path segment operators
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/l { lineto } def
/c { curveto } def
/re { 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
neg 0 rlineto closepath } def
/h { closepath } def
% path painting operators
/S { sCol stroke } def
/Sf { fCol stroke } def
/f { fCol fill } def
/f* { fCol eofill } def
% clipping operators
/W { clip newpath } def
/W* { eoclip newpath } def
% text state operators
/Tc { /pdfCharSpacing exch def } def
/Tf { dup /pdfFontSize exch def
dup pdfHorizScaling mul exch matrix scale
pdfTextMat matrix concatmatrix dup 4 0 put dup 5 0 put
exch findfont exch makefont setfont } def
/Tr { /pdfTextRender exch def } def
/Ts { /pdfTextRise exch def } def
/Tw { /pdfWordSpacing exch def } def
/Tz { /pdfHorizScaling exch def } def
% text positioning operators
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/Tm { /pdfTextMat exch def } def
% text string operators
/awcp { % awidthcharpath
exch {
1 string dup 0 3 index put 2 index charpath
3 index 3 index rmoveto
4 index eq { 5 index 5 index rmoveto } if
} forall
6 {pop} repeat
} def
/Tj { fCol
0 pdfTextRise pdfTextMat dtransform rmoveto
1 index stringwidth pdfTextMat idtransform pop
sub 1 index length dup 0 ne { div } { pop pop 0 } ifelse
pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32
4 3 roll pdfCharSpacing pdfHorizScaling mul add 0
pdfTextMat dtransform
6 5 roll
currentpoint 8 2 roll
pdfTextRender 1 and 0 eq {
6 copy awidthshow
} if
pdfTextRender 3 and dup 1 eq exch 2 eq or {
8 6 roll moveto
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false awcp currentpoint stroke moveto
} {
8 {pop} repeat
} ifelse
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0 pdfTextRise pdfTextMat dtransform rmoveto
2 index stringwidth pdfTextMat idtransform pop
sub exch div
pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32
4 3 roll pdfCharSpacing pdfHorizScaling mul add 0
pdfTextMat dtransform
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0 pdfTextRise pdfTextMat dtransform rmoveto
2 index stringwidth pdfTextMat idtransform exch pop
sub exch div
0 pdfWordSpacing pdfTextMat dtransform 32
4 3 roll pdfCharSpacing add 0 exch
pdfTextMat dtransform
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0 pdfTextRise neg pdfTextMat dtransform rmoveto } def
/TJm { pdfFontSize 0.001 mul mul neg 0
pdfTextMat dtransform rmoveto } def
/TJmV { pdfFontSize 0.001 mul mul neg 0 exch
pdfTextMat dtransform rmoveto } def
% Level 1 image operators
/pdfIm1 {
/pdfImBuf1 4 index string def
{ currentfile pdfImBuf1 readhexstring pop } image
} def
/pdfIm1Sep {
/pdfImBuf1 4 index string def
/pdfImBuf2 4 index string def
/pdfImBuf3 4 index string def
/pdfImBuf4 4 index string def
{ currentfile pdfImBuf1 readhexstring pop }
{ currentfile pdfImBuf2 readhexstring pop }
{ currentfile pdfImBuf3 readhexstring pop }
{ currentfile pdfImBuf4 readhexstring pop }
true 4 colorimage
} def
/pdfImM1 {
/pdfImBuf1 4 index 7 add 8 idiv string def
{ currentfile pdfImBuf1 readhexstring pop } imagemask
} def
% Level 2 image operators
/pdfImBuf 100 string def
/pdfIm {
image
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImSep {
findcmykcustomcolor exch
dup /Width get /pdfImBuf1 exch string def
begin Width Height BitsPerComponent ImageMatrix DataSource end
/pdfImData exch def
{ pdfImData pdfImBuf1 readstring pop
0 1 2 index length 1 sub {
1 index exch 2 copy get 255 exch sub put
} for }
6 5 roll customcolorimage
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
/pdfImM {
fCol imagemask
{ currentfile pdfImBuf readline
not { pop exit } if
(%-EOD-) eq { exit } if } loop
} def
end
%%EndResource
%%EndProlog
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%%CreationDate: 1996 Jul 23 07:53:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
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/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 117 /u put
dup 118 /v put
dup 119 /w put
readonly def
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/u/v/w
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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pdfStartPage
[] 0 d
0 i
0 j
0 J
10 M
1 w
0 g
0 G
160.405 176.034 130.882 139.871 re
W
q
q
0.875 g
170.329 313.532 m
281.141 313.532 l
225.735 306.145 l
218.348 248.892 l
214.654 184.252 l
210.96 280.289 l
196.185 296.91 l
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h
f*
Q
q
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170.329 313.532 m
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225.735 306.145 l
218.348 248.892 l
214.654 184.252 l
210.96 280.289 l
196.185 296.91 l
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h
S
Q
q
0.4 w
170.329 184.252 m
174.023 248.892 l
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q
[2.835] 0 d
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S
Q
q
0.472 w
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S
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q
1 g
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h
f*
Q
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h
S
Q
q
1 g
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h
f*
Q
q
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S
Q
q
1 g
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S
Q
q
1 g
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Q
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201.727 184.224 m
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h
S
Q
q
1 g
209.116 184.224 m
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h
f*
Q
q
0.472 w
209.116 184.224 m
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h
S
Q
q
1 g
216.505 184.224 m
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h
f*
Q
q
0.472 w
216.505 184.224 m
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h
S
Q
q
1 g
223.893 184.224 m
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220.199 185.244 221.026 186.072 222.046 186.072 c
223.066 186.072 223.893 185.244 223.893 184.224 c
h
f*
Q
q
0.472 w
223.893 184.224 m
223.893 183.205 223.066 182.377 222.046 182.377 c
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h
S
Q
q
1 g
231.282 184.224 m
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h
f*
Q
q
0.472 w
231.282 184.224 m
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227.588 185.244 228.415 186.072 229.435 186.072 c
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h
S
Q
q
1 g
238.671 184.224 m
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235.804 182.377 234.976 183.205 234.976 184.224 c
234.976 185.244 235.804 186.072 236.823 186.072 c
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h
f*
Q
q
0.472 w
238.671 184.224 m
238.671 183.205 237.843 182.377 236.823 182.377 c
235.804 182.377 234.976 183.205 234.976 184.224 c
234.976 185.244 235.804 186.072 236.823 186.072 c
237.843 186.072 238.671 185.244 238.671 184.224 c
h
S
Q
q
1 g
246.059 184.224 m
246.059 183.205 245.232 182.377 244.212 182.377 c
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4812 y(diagonals)21 b(of)i Fl(P)12 b Fq(.)36 b(On)23
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4911 y(gon)33 b(there)g(alw)n(a)n(ys)f(exists)i(a)g
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y(that)21 b(an)n(y)f(pseudo-triangle)f(of)h Fl(T)32 b
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5790 y Fq(3)p eop end
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{c4x2 sub shrink mul c4x2 add}def/c1x0 c3x0 xshrink def/c1x1 c3x1 xshrink def
/c2x0 c4x0 xshrink def/c2x1 c4x1 xshrink def/c1y0 c3y0 def/c1y1 c3y1 def/c2y0
c4y0 def/c2y1 c4y1 def/dX c3x2 c1x2 sub round 0 dtransform flipXY -1 eq{exch}
if pop abs def dX dmin lt PickCoords x2 c1x2 sub abs .001 gt{c1x2 c1y2
transform flipXY -1 eq{exch}if/cy exch def/cx exch def/dX x2 c1x2 sub round 0
dtransform flipXY -1 eq{exch}if pop def dX round dup 0 ne{/dX exdef}{pop dX 0
lt{-1}{1}ifelse/dX exdef}ifelse/erode PaintType 2 ne erosion .5 ge and def
erode{/cx cx .5 sub def}if/ex cx dX add def/ex ex ceiling ex sub ex floor add
def erode{/ex ex .5 add def}if ex cy flipXY -1 eq{exch}if itransform pop x2
sub/eShift exch def/x1 x1 eShift add def/x2 x2 eShift add def/x3 x3 eShift add
def}if}ifelse}ifelse x2 x5 eq y2 y5 eq or{x5 y5 lineto}{x0 y0 x1 y1 x2 y2
curveto x3 y3 x4 y4 x5 y5 curveto}ifelse epY epX}systemdict/currentpacking
known{exch setpacking}if/exec cvx/end cvx]cvx executeonly exch{pop true exch
restore}{systemdict/internaldict known not{1183615869 userdict/internaldict
get exec exch/FlxProc exch put true}{1183615869 systemdict/internaldict get
exec dup length exch maxlength eq{false}{1183615869 systemdict/internaldict
get exec exch/FlxProc exch put true}ifelse}ifelse}ifelse{systemdict
/internaldict known{1183615869 systemdict/internaldict get exec/FlxProc get
exec}{1183615869 userdict/internaldict get exec/FlxProc get exec}ifelse}if}
executeonly def/F1Subr{gsave currentpoint newpath moveto}bind def/F2Subr{
currentpoint grestore gsave currentpoint newpath moveto}bind def/HSSubr{
systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict
get exec dup/startlock known{/startlock get exec}{dup/strtlck known{/strtlck
get exec}{pop 3}ifelse}ifelse}ifelse}bind def end
%%EndResource
/currentpacking where{pop currentpacking true setpacking}if
%%BeginResource: procset pdfvars
%%Copyright: Copyright 1987-2001 Adobe Systems Incorporated. All Rights Reserved.
%%Version: 5.0 6
%%Title: definition of dictionary of variables used by PDF & PDFText procsets
userdict /PDF 160 dict put
userdict /PDFVars 89 dict dup begin put
/docSetupDone false def
/InitAll 0 def
/TermAll 0 def
/DocInitAll 0 def
/DocTermAll 0 def
/_pdfEncodings 2 array def
/_pdf_str1 1 string def
/_pdf_i 0 def
/_pdf_na 0 def
/_pdf_showproc 0 def
/_italMtx [1 0 .212557 1 0 0] def
/_italMtx_WMode1 [1 -.212557 0 1 0 0] def
/_italMtxType0 [1 0 .1062785 1 0 0] def
/_italMtx_WMode1Type0 [1 -.1062785 0 1 0 0] def
/_basefont 0 def
/_basefonto 0 def
/_pdf_oldCIDInit null def
/_pdf_FontDirectory 30 dict def
/_categories 10 dict def
/_sa? true def
/_ColorSep5044? false def
/nulldict 0 dict def
/_processColors 0 def
/overprintstack null def
/_defaulttransfer currenttransfer def
/_defaultflatness currentflat def
/_defaulthalftone null def
/_defaultcolortransfer null def
/_defaultblackgeneration null def
/_defaultundercolorremoval null def
/_defaultcolortransfer null def
PDF begin
[/c/cs/cm/d/d0/f/h/i/j/J/l/m/M/n/q/Q/re/ri/S/sc/sh/Tf/w/W
/applyInterpFunc/applystitchFunc/domainClip/encodeInput
/initgs/int/limit/rangeClip
/defineRes/findRes/setSA/pl
%% to keep CoolType entries in GlyphDirProcs safe from collisions with Win PS driver
/? /! /| /: /+ /GetGlyphDirectory
/pdf_flushFilters /pdf_readstring /pdf_dictOp /pdf_image /pdf_maskedImage
/pdf_shfill /pdf_sethalftone
] {null def} bind forall
end
end
%%EndResource
PDFVars begin PDF begin
%%BeginResource: procset pdfutil
%%Copyright: Copyright 1993-1999 Adobe Systems Incorporated. All Rights Reserved.
%%Version: 4.0 2
%%Title: Basic utilities used by other PDF procsets
/bd {bind def} bind def
/ld {load def} bd
/bld {
dup length dict begin
{ null def } forall
bind
end
def
} bd
/dd { PDFVars 3 1 roll put } bd
/xdd { exch dd } bd
/Level2?
systemdict /languagelevel known
{ systemdict /languagelevel get 2 ge } { false } ifelse
def
/Level1? Level2? not def
/Level3?
systemdict /languagelevel known
{systemdict /languagelevel get 3 eq } { false } ifelse
def
/getifknown {
2 copy known { get true } { pop pop false } ifelse
} bd
/here {
currentdict exch getifknown
} bd
/isdefined? { where { pop true } { false } ifelse } bd
%%EndResource
%%BeginResource: l2compat
%%Version: 5.0 9
%%Copyright: Copyright 1987-2001 Adobe Systems Incorporated. All Rights Reserved.
%%LanguageLevel: 1
%%Title: Level 1 emulation of level 2 operators
/setcmykcolor isdefined? not
{
/setcmykcolor {
1 sub 4 1 roll
3 {
3 index add neg dup 0 lt { pop 0 } if
3 1 roll
} repeat
setrgbcolor
pop
} bd
} if
/rectclip isdefined? not
{
/rectclip { newpath re clip newpath } bd
} if
/rectfill isdefined? not
{
/rectfill { gsave newpath re fill grestore } bd
} if
/sethalftone isdefined? not
{
/sethalftone {
begin
HalftoneType 1 eq
{ Frequency Angle /SpotFunction load setscreen }
if
end
} bd
} if
Level1?
{
/pdf_show {show} bd
/xshow
{
PDFVars /_pdf_showproc /pdf_show load put
pdf_xshow
} bd
/yshow
{
PDFVars /_pdf_showproc /pdf_show load put
pdf_yshow
} bd
/xyshow
{
PDFVars /_pdf_showproc /pdf_show load put
pdf_xyshow
} bd
} if
%%EndResource
%%BeginResource: procset pdf
%%Version: 5.0 6
%%Copyright: Copyright 1998-2001 Adobe Systems Incorporated. All Rights Reserved.
%%Title: General operators for PDF, common to all Language Levels.
/cm { matrix astore concat } bd
/d /setdash ld
/f /fill ld
/h /closepath ld
/i {dup 0 eq {pop _defaultflatness} if setflat} bd
/j /setlinejoin ld
/J /setlinecap ld
/M /setmiterlimit ld
/n /newpath ld
/S /stroke ld
/w /setlinewidth ld
/W /clip ld
/initgs {
0 setgray
[] 0 d
0 j
0 J
10 M
1 w
false setSA
/_defaulttransfer load settransfer
0 i
/RelativeColorimetric ri
newpath
} bd
/int {
dup 2 index sub 3 index 5 index sub div 6 -2 roll sub mul
exch pop add exch pop
} bd
/limit {
dup 2 index le { exch } if pop
dup 2 index ge { exch } if pop
} bd
/domainClip {
Domain aload pop 3 2 roll
limit
} [/Domain] bld
/applyInterpFunc {
0 1 DimOut 1 sub
{
dup C0 exch get exch
dup C1 exch get exch
3 1 roll
1 index sub
3 index
N exp mul add
exch
currentdict /Range_lo known
{
dup Range_lo exch get exch
Range_hi exch get
3 2 roll limit
}
{
pop
}
ifelse
exch
} for
pop
} [/DimOut /C0 /C1 /N /Range_lo /Range_hi] bld
/encodeInput {
NumParts 1 sub
0 1 2 index
{
dup Bounds exch get
2 index gt
{ exit }
{ dup
3 index eq
{ exit }
{ pop } ifelse
} ifelse
} for
3 2 roll pop
dup Bounds exch get exch
dup 1 add Bounds exch get exch
2 mul
dup Encode exch get exch
1 add Encode exch get
int
} [/NumParts /Bounds /Encode] bld
/rangeClip {
exch dup Range_lo exch get
exch Range_hi exch get
3 2 roll
limit
} [/Range_lo /Range_hi] bld
/applyStitchFunc {
Functions exch get exec
currentdict /Range_lo known {
0 1 DimOut 1 sub {
DimOut 1 add -1 roll
rangeClip
} for
} if
} [/Functions /Range_lo /DimOut] bld
/pdf_flushfilters
{
aload length
{ dup status
1 index currentfile ne and
{ dup flushfile closefile }
{ pop }
ifelse
} repeat
} bd
/pdf_readstring
{
1 index dup length 1 sub get
exch readstring pop
exch pdf_flushfilters
} bind def
/pdf_dictOp
{
3 2 roll
10 dict copy
begin
_Filters dup length 1 sub get def
currentdict exch exec
_Filters pdf_flushfilters
end
} [/_Filters] bld
/pdf_image {{image} /DataSource pdf_dictOp} bd
/pdf_imagemask {{imagemask} /DataSource pdf_dictOp} bd
/pdf_shfill {{sh} /DataSource pdf_dictOp} bd
/pdf_sethalftone {{sethalftone} /Thresholds pdf_dictOp} bd
/pdf_maskedImage
{
10 dict copy begin
/miDict currentdict def
/DataDict DataDict 10 dict copy def
DataDict begin
/DataSource
_Filters dup length 1 sub get
def
miDict image
_Filters pdf_flushfilters
end
end
} [/miDict /DataDict /_Filters] bld
%%EndResource
%%BeginResource: procset sep_ops
%%Version: 4.0 1
%%Copyright: Copyright 1987-1999 Adobe Systems Incorporated. All Rights Reserved.
%%Title: Support for Separations in Level 1, following the conventions of Tech Note 5044
userdict /sep_ops 50 dict dup begin put
/bdef {bind def} bind def
/xdef {exch def} bdef
/colorimagebuffer {
0 1 2 index length 1 sub {
dup 2 index exch get 255 exch sub 2 index 3 1 roll put
} for
} bdef
/addprocs {
[ 3 1 roll
/exec load
dup 3 1 roll
] cvx
} bdef
/L1? {
systemdict /languagelevel known {
systemdict /languagelevel get 2 lt
}{
true
} ifelse
} bdef
/colorexists {
statusdict /processcolors known {
statusdict /processcolors get exec
}{
/deviceinfo where {
pop deviceinfo /Colors known {
deviceinfo /Colors get
statusdict /processcolors {
deviceinfo /Colors known {
deviceinfo /Colors get
}{
1
} ifelse
} put
}{
1
} ifelse
}{
1
} ifelse
} ifelse
1 gt
} bdef
/colorplate colorexists { 0 } { 5 } ifelse def
/negativecolorplate false def
/setcmykcolor where {
pop
gsave
1 0 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
0 1 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
0 0 1 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
0 0 0 1 setcmykcolor systemdict /currentgray get exec 1 exch sub
4 {4 copy} repeat
grestore
1 dict begin
/foureq {
4 index eq 8 1 roll
4 index eq 8 1 roll
4 index eq 8 1 roll
4 index eq 8 1 roll
pop pop pop pop and and and
} def
1 0 0 0 foureq {/colorplate 1 store} if
0 1 0 0 foureq {/colorplate 2 store} if
0 0 1 0 foureq {/colorplate 3 store} if
0 0 0 1 foureq {/colorplate 4 store} if
0 0 0 0 foureq {/colorplate 6 store} if
end
} if
0 systemdict /currenttransfer get exec exec
1 systemdict /currenttransfer get exec exec
2 copy
eq
{
/colorplate 6 store
pop
/negativecolorplate exch 0.5 lt store
}
{
gt /negativecolorplate exch store
}
ifelse
/findcmykcustomcolor where { pop }
{
/findcmykcustomcolor {
[ 6 1 roll ] readonly
} bdef
} ifelse
/setoverprint where {
pop
}{
/setoverprint {
pop
} bdef
} ifelse
/currentoverprint where {
pop
}{
/currentoverprint {
false
} bdef
} ifelse
/setcustomcolor where {
pop
}{
L1? {
/setcustomcolor {
exch
aload pop pop
4 { 4 index mul 4 1 roll } repeat
5 -1 roll pop
setcmykcolor
} bdef
}{
/setcustomcolor {
exch
[ exch /Separation exch dup 4 get exch /DeviceCMYK exch
0 4 getinterval
[ exch /dup load exch cvx {mul exch dup}
/forall load /pop load dup] cvx
] setcolorspace setcolor
} bdef
} ifelse
} ifelse
/ik 0 def
/iy 0 def
/im 0 def
/ic 0 def
/imagetint {
ic .3 mul
im .59 mul
iy .11 mul
ik add add add dup
1 gt {pop 1} if
} bdef
/setcmykcolor where {
pop
}{
/setcmykcolor {
/ik xdef /iy xdef /im xdef /ic xdef
imagetint
1 exch sub setgray
} bdef
} ifelse
/customcolorimage where {
pop
}{
L1? {
/customcolorimage{
gsave
colorexists {
aload pop pop
/ik xdef /iy xdef /im xdef /ic xdef
currentcolortransfer
{ik mul ik sub 1 add} addprocs
4 1 roll {iy mul iy sub 1 add} addprocs
4 1 roll {im mul im sub 1 add} addprocs
4 1 roll {ic mul ic sub 1 add} addprocs
4 1 roll setcolortransfer
/magentabuf 0 string def
/yellowbuf 0 string def
/blackbuf 0 string def
{
colorimagebuffer dup length magentabuf length ne
{
dup length dup dup
/magentabuf exch string def
/yellowbuf exch string def
/blackbuf exch string def
} if
dup magentabuf copy yellowbuf copy
blackbuf copy pop
} addprocs
{magentabuf}{yellowbuf}{blackbuf} true 4 colorimage
}{
aload pop pop /ik xdef /iy xdef /im xdef /ic xdef /tint
imagetint def
currenttransfer
{tint mul 1 tint sub add} addprocs settransfer image
} ifelse
grestore
} bdef
}{
/customcolorimage {
gsave
[ exch /Separation exch dup 4 get exch /DeviceCMYK exch
0 4 getinterval
[ exch /dup load exch cvx {mul exch dup}
/forall load /pop load dup] cvx
] setcolorspace
10 dict begin
/ImageType 1 def
/DataSource exch def
/ImageMatrix exch def
/BitsPerComponent exch def
/Height exch def
/Width exch def
/Decode [1 0] def
currentdict end
image
grestore
} bdef
} ifelse
} ifelse
/setseparationgray where {
pop
}{
L1? {
/setseparationgray { 1 exch sub dup dup dup setcmykcolor } bdef
}{
/setseparationgray {
[/Separation /All /DeviceCMYK {dup dup dup}] setcolorspace
1 exch sub setcolor
} bdef
} ifelse
} ifelse
/separationimage where { pop }
{
/separationimage {
gsave
1 1 1 1 (All)
findcmykcustomcolor customcolorimage
grestore
} bdef
} ifelse
currentdict readonly pop end
%%EndResource
%%BeginResource: procset pdflev15044
%%Version: 5.0 12
%%Copyright: Copyright 1987-2001 Adobe Systems Incorporated. All Rights Reserved.
%%LanguageLevel: 1
%%Title: PDF operators, Level 1, with emulated separations (TN 5044)
/_ColorSep5044? true dd
/docinitialize {
PDF begin
/_defaulthalftone
/currenthalftone where
{ pop currenthalftone }
{ 4 dict dup begin
currentscreen
/SpotFunction exch def
/Angle exch def
/Frequency exch def
/HalftoneType 1 def
end }
ifelse
dd
/currentcolortransfer where
{ pop /_defaultcolortransfer [ currentcolortransfer ] dd }
{ /_defaultcolortransfer [currenttransfer dup dup dup] dd }
ifelse
end
} bd
/initialize {
/overprintstack null dd
sep_ops begin
50 dict begin
_defaulthalftone sethalftone
} bd
/terminate {
end end
} bd
/currentcolortransfer where
{ pop }
{
/setcolortransfer
{
settransfer pop pop pop
} bd
} ifelse
/pl {
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} bd
/m { _sa? { pl } if moveto } bd
/l { _sa? { pl } if lineto } bd
/c
{
_sa? {3 {pl 6 2 roll} repeat} if
curveto
} bd
/ri/pop ld
/setSA { /_sa? xdd } bd
/re
{
_sa?
{
8 dict begin
/:h exch def
/:w exch def
/:y exch def
/:x exch def
:x :y pl
/:ymin exch def /:xmin exch def
:x :w add :y :h add pl
/:ymax exch def /:xmax exch def
:xmin :ymin moveto
:xmax :ymin lineto
:xmax :ymax lineto
:xmin :ymax lineto
closepath
end
}
{
4 2 roll moveto
1 index 0 rlineto
0 exch rlineto
neg 0 rlineto
closepath
} ifelse
} bd
/q
{
gsave
[currentoverprint overprintstack] /overprintstack xdd
}
[/overprintstack] bld
/Q
{
overprintstack aload pop /overprintstack xdd setoverprint
grestore
}
[/overprintstack] bld
/AlmostFull?
{ dup maxlength exch length sub 2 le
} bd
/Expand
{ 1 index maxlength mul cvi dict
dup begin exch { def } forall end
} bd
/xput
{ 3 2 roll
dup 3 index known not
{ dup AlmostFull? { 1.5 Expand } if
} if
dup 4 2 roll put
} bd
/defineRes
{ _categories 1 index known not
{ /_categories _categories 2 index 10 dict xput store
} if
_categories exch 2 copy get 5 -1 roll 4 index xput put
} bd
/findRes {
_categories exch get exch get
} bd
/L1setcolor {
aload length
dup 0 eq
{ pop .5 setgray }
{ dup 1 eq
{ pop setgray }
{ 3 eq
{ setrgbcolor }
{ setcmykcolor }
ifelse }
ifelse }
ifelse
} bind dd
/concattransferfuncs {
[ 3 1 roll /exec load exch /exec load ] cvx
} bd
/concatandsettransfer {
/_defaulttransfer load concattransferfuncs settransfer
} bd
/concatandsetcolortransfer {
colorplate 0 eq
{
_defaultcolortransfer aload pop
8 -1 roll 5 -1 roll concattransferfuncs 7 1 roll
6 -1 roll 4 -1 roll concattransferfuncs 5 1 roll
4 -1 roll 3 -1 roll concattransferfuncs 3 1 roll
concattransferfuncs
setcolortransfer
} if
colorplate 1 ge colorplate 4 le and
{
4 colorplate sub index 4 { exch pop } repeat
concatandsettransfer
} if
colorplate 5 ge
{
0 index 4 { exch pop } repeat
concatandsettransfer
} if
} bd
/tn5044sethalftone
{
begin
HalftoneType 5 eq
{ [/Default /Cyan /Magenta /Yellow /Black /Default /Default /Default]
colorplate get
here not {
/Default here not { currentdict } if
} if
}
{ currentdict }
ifelse
end
begin
/TransferFunction here
{
concatandsettransfer
currentdict dup length dict
begin
{
1 index /TransferFunction ne { def } { pop pop } ifelse
} forall
currentdict
end
}
{
currentdict
} ifelse
end
sethalftone
} bd
/paintimage
{
colorplate 0 eq
{
{ {currentfile cyanstr readstring pop}
{currentfile magentastr readstring pop}
{currentfile yellowstr readstring pop}
{currentfile blackstr readstring pop
currentfile graystr readstring pop pop}
}
{ {currentfile cyanstr readhexstring pop}
{currentfile magentastr readhexstring pop}
{currentfile yellowstr readhexstring pop}
{currentfile blackstr readhexstring pop
currentfile graystr readhexstring pop pop}
} ifelse
true 4 colorimage
}
{
3 dict begin
/binaryOK exch def
[
1 1 5 {
dup
/currentfile cvx
[ /cyanstr /magentastr /yellowstr /blackstr /graystr ]
3 -1 roll 1 sub get cvx
binaryOK { /readstring } { /readhexstring } ifelse cvx
/pop cvx
5 -1 roll
colorplate dup 5 gt { pop 5 } if
eq not { /pop cvx } if
} for
] cvx bind
end
[
colorplate 6 eq {
/pop cvx
negativecolorplate { 0 } { 1 } ifelse
} if
colorplate 4 le
{
1 /exch cvx /sub cvx
} if
colorplate 6 ne
{
systemdict /currenttransfer get exec
aload pop
} if
] cvx
gsave
systemdict /settransfer get exec
systemdict /image get exec
grestore
} ifelse
} bd
/getrampcolor {
/indx exch def
[
0 1 NumComp 1 sub {
dup
Samples exch get
dup type /stringtype eq { indx get } if
exch
Scaling exch get aload pop
3 1 roll
mul add
} for
]
L1setcolor
} bd
/GenStrips {
40 dict begin
/background exch def
/ext1 exch def
/ext0 exch def
/BBox exch def
/y2 exch def
/x2 exch def
/y1 exch def
/x1 exch def
/rampdict exch def
gsave
BBox length 0 gt {
BBox 0 get BBox 1 get
BBox 2 get BBox 0 get sub
BBox 3 get BBox 1 get sub
rectclip
} if
x1 x2 eq
{
y1 y2 lt {/theta 90 def}{/theta 270 def} ifelse
}
{
/slope y2 y1 sub x2 x1 sub div def
/theta slope 1 atan def
x2 x1 lt y2 y1 ge and { /theta theta 180 sub def} if
x2 x1 lt y2 y1 le and { /theta theta 180 add def} if
}
ifelse
gsave
clippath
x1 y1 translate
theta rotate
{ pathbbox } stopped
{ 0 0 0 0 } if
/yMax exch def
/xMax exch def
/yMin exch def
/xMin exch def
grestore
xMax xMin eq yMax yMin eq or
{
grestore
end
}
{
rampdict begin
20 dict begin
background length 0 gt { background L1setcolor gsave clippath fill grestore } if
gsave
x1 y1 translate
theta rotate
/xStart 0 def
/xEnd x2 x1 sub dup mul y2 y1 sub dup mul add 0.5 exp def
/ySpan yMax yMin sub def
/numsteps NumSamples def
/rampIndxInc 1 def
/subsampling false def
xStart 0 transform
xEnd 0 transform
3 -1 roll
sub dup mul
3 1 roll
sub dup mul
add 0.5 exp 72 div
0 72 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt
72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt
1 index 1 index lt { exch } if pop
mul
/numpix exch def
numpix 0 ne
{
NumSamples numpix div 0.5 gt
{
/numsteps numpix 2 div round cvi dup 1 le { pop 2 } if def
/rampIndxInc NumSamples 1 sub numsteps div def
/subsampling true def
} if
} if
ext0 {
0 getrampcolor
xMin xStart lt
{ xMin yMin xMin neg ySpan rectfill } if
} if
/xInc xEnd xStart sub numsteps div def
/x xStart def
0
numsteps
{
dup
subsampling { round cvi } if
getrampcolor
x yMin xInc ySpan rectfill
/x x xInc add def
rampIndxInc add
}
repeat
pop
ext1 {
xMax xEnd gt
{ xEnd yMin xMax xEnd sub ySpan rectfill } if
} if
grestore
grestore
end
end
end
} ifelse
} bd
/RadialShade {
40 dict begin
/background exch def
/ext1 exch def
/ext0 exch def
/BBox exch def
/r2 exch def
/c2y exch def
/c2x exch def
/r1 exch def
/c1y exch def
/c1x exch def
/rampdict exch def
gsave
BBox length 0 gt {
BBox 0 get BBox 1 get
BBox 2 get BBox 0 get sub
BBox 3 get BBox 1 get sub
rectclip
} if
gsave
clippath
pathbbox
/BByMax exch def
/BBxMax exch def
/BByMin exch def
/BBxMin exch def
grestore
BBxMax BBxMin eq BByMax BByMin eq or
{
grestore
end
}
{
rampdict begin
20 dict begin
background length 0 gt { background L1setcolor gsave clippath fill grestore } if
/areaOfConcern
BBxMin BByMin BBxMax BByMax
BBxMin BByMin
BBxMax BBxMin sub 0
0 BByMax BByMin sub
BBxMin BBxMax sub 0
12 packedarray
< 0B 00 01 04 04 04 0A>
2 packedarray
def
c1x c2x sub dup mul
c1y c2y sub dup mul
add 0.5 exp
r1 add
r2 sub
abs
0 dtransform
dup mul exch dup mul add 0.5 exp 72 div
0 72 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt
72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt
1 index 1 index lt { exch } if pop
/hires exch def
hires mul
/numpix exch def
/numsteps NumSamples def
/rampIndxInc 1 def
/subsampling false def
numpix 0 ne
{
NumSamples numpix div 0.5 gt
{
/numsteps numpix 2 div round cvi dup 1 le { pop 2 } if def
/rampIndxInc NumSamples 1 sub numsteps div def
/subsampling true def
} if
} if
/xInc c2x c1x sub numsteps div def
/yInc c2y c1y sub numsteps div def
/rInc r2 r1 sub numsteps div def
/cx c1x def
/cy c1y def
/radius r1 def
newpath
xInc 0 eq yInc 0 eq rInc 0 eq and and
{
0 getrampcolor
cx cy radius 0 360 arc
stroke
NumSamples 1 sub getrampcolor
cx cy radius 72 hires div add 0 360 arc
0 setlinewidth
stroke
}
{
0
numsteps
{
dup
subsampling { round cvi } if
getrampcolor
cx cy radius 0 360 arc
/cx cx xInc add def
/cy cy yInc add def
/radius radius rInc add def
cx cy radius 360 0 arcn
eofill
rampIndxInc add
}
repeat
pop
} ifelse
grestore
end
end
end
} ifelse
} bd
%%EndResource
%%BeginResource: procset pdftext
%%Version: 5.0 5
%%Copyright: Copyright 1987-2001 Adobe Systems Incorporated. All Rights Reserved.
%%Title: Text operators for PDF
PDF /PDFText 78 dict dup begin put
/docinitialize
{
/resourcestatus where {
pop
/CIDParams /ProcSet resourcestatus {
pop pop
false /CIDParams /ProcSet findresource /SetBuildCompatible get exec
} if
} if
PDF begin
PDFText /_pdfDefineIdentity-H known
{ PDFText /_pdfDefineIdentity-H get exec}
if
end
} bd
/initialize {
PDFText begin
} bd
/terminate { end } bd
Level2?
{
/_safeput
{
3 -1 roll load 3 1 roll put
}
bd
}
{
/_safeput
{
2 index load dup dup length exch maxlength ge
{ dup length 5 add dict copy
3 index xdd
}
{ pop }
ifelse
3 -1 roll load 3 1 roll put
}
bd
}
ifelse
/pdf_has_composefont? systemdict /composefont known def
/CopyFont {
{
1 index /FID ne 2 index /UniqueID ne and
{ def } { pop pop } ifelse
} forall
} bd
/Type0CopyFont
{
exch
dup length dict
begin
CopyFont
[
exch
FDepVector
{
dup /FontType get 0 eq
{
1 index Type0CopyFont
/_pdfType0 exch definefont
}
{
/_pdfBaseFont exch
2 index exec
}
ifelse
exch
}
forall
pop
]
/FDepVector exch def
currentdict
end
} bd
Level2? {currentglobal true setglobal} if
/cHexEncoding
[/c00/c01/c02/c03/c04/c05/c06/c07/c08/c09/c0A/c0B/c0C/c0D/c0E/c0F/c10/c11/c12
/c13/c14/c15/c16/c17/c18/c19/c1A/c1B/c1C/c1D/c1E/c1F/c20/c21/c22/c23/c24/c25
/c26/c27/c28/c29/c2A/c2B/c2C/c2D/c2E/c2F/c30/c31/c32/c33/c34/c35/c36/c37/c38
/c39/c3A/c3B/c3C/c3D/c3E/c3F/c40/c41/c42/c43/c44/c45/c46/c47/c48/c49/c4A/c4B
/c4C/c4D/c4E/c4F/c50/c51/c52/c53/c54/c55/c56/c57/c58/c59/c5A/c5B/c5C/c5D/c5E
/c5F/c60/c61/c62/c63/c64/c65/c66/c67/c68/c69/c6A/c6B/c6C/c6D/c6E/c6F/c70/c71
/c72/c73/c74/c75/c76/c77/c78/c79/c7A/c7B/c7C/c7D/c7E/c7F/c80/c81/c82/c83/c84
/c85/c86/c87/c88/c89/c8A/c8B/c8C/c8D/c8E/c8F/c90/c91/c92/c93/c94/c95/c96/c97
/c98/c99/c9A/c9B/c9C/c9D/c9E/c9F/cA0/cA1/cA2/cA3/cA4/cA5/cA6/cA7/cA8/cA9/cAA
/cAB/cAC/cAD/cAE/cAF/cB0/cB1/cB2/cB3/cB4/cB5/cB6/cB7/cB8/cB9/cBA/cBB/cBC/cBD
/cBE/cBF/cC0/cC1/cC2/cC3/cC4/cC5/cC6/cC7/cC8/cC9/cCA/cCB/cCC/cCD/cCE/cCF/cD0
/cD1/cD2/cD3/cD4/cD5/cD6/cD7/cD8/cD9/cDA/cDB/cDC/cDD/cDE/cDF/cE0/cE1/cE2/cE3
/cE4/cE5/cE6/cE7/cE8/cE9/cEA/cEB/cEC/cED/cEE/cEF/cF0/cF1/cF2/cF3/cF4/cF5/cF6
/cF7/cF8/cF9/cFA/cFB/cFC/cFD/cFE/cFF] def
Level2? {setglobal} if
/modEnc {
/_enc xdd
/_icode 0 dd
counttomark 1 sub -1 0
{
index
dup type /nametype eq
{
_enc _icode 3 -1 roll put
_icode 1 add
}
if
/_icode xdd
} for
cleartomark
_enc
} bd
/trEnc {
/_enc xdd
255 -1 0 {
exch dup -1 eq
{ pop /.notdef }
{ Encoding exch get }
ifelse
_enc 3 1 roll put
} for
pop
_enc
} bd
/TE {
/_i xdd
StandardEncoding 256 array copy modEnc
_pdfEncodings exch _i exch put
} bd
/TZ
{
/_usePDFEncoding xdd
findfont
dup length 6 add dict
begin
{
1 index /FID ne { def } { pop pop } ifelse
} forall
/pdf_origFontName FontName def
/FontName exch def
currentdict /PaintType known
{ PaintType 2 eq {/PaintType 0 def} if }
if
_usePDFEncoding 0 ge
{
/Encoding _pdfEncodings _usePDFEncoding get def
pop
}
{
_usePDFEncoding -1 eq
{
counttomark 0 eq
{ pop }
{
Encoding 256 array copy
modEnc /Encoding exch def
}
ifelse
}
{
256 array
trEnc /Encoding exch def
}
ifelse
}
ifelse
pdf_EuroProcSet pdf_origFontName known
{
pdf_origFontName pdf_AddEuroGlyphProc
} if
Level2?
{
currentdict /pdf_origFontName undef
} if
FontName currentdict
end
definefont pop
}
bd
Level2?
{
/TZG
{
currentglobal true setglobal
2 index _pdfFontStatus
{
2 index findfont
false setglobal
3 index findfont
true setglobal
ne
{
2 index findfont dup rcheck
{
dup length dict begin
{
1 index /FID ne { def } { pop pop } ifelse
} forall
currentdict end
}
if
3 index exch definefont pop
}
if
} if
setglobal
TZ
} bd
}
{
/TZG {TZ} bd
} ifelse
Level2?
{
currentglobal false setglobal
userdict /pdftext_data 5 dict put
pdftext_data
begin
/saveStacks
{
pdftext_data
begin
/vmmode currentglobal def
false setglobal
count array astore /os exch def
end
countdictstack array dictstack pdftext_data exch /ds exch put
cleardictstack pdftext_data /dscount countdictstack put
pdftext_data /vmmode get setglobal
} bind def
/restoreStacks
{
pdftext_data /vmmode currentglobal put false setglobal
clear cleardictstack
pdftext_data /ds get dup
pdftext_data /dscount get 1 2 index length 1 sub
{ get begin dup } for
pop pop
pdftext_data /os get aload pop
pdftext_data /vmmode get setglobal
} bind def
/testForClonePrinterBug
{
currentglobal true setglobal
/undefinedCategory /Generic /Category findresource
dup length dict copy /Category defineresource pop
setglobal
pdftext_data /saveStacks get exec
pdftext_data /vmmode currentglobal put false setglobal
/undefined /undefinedCategory { resourcestatus } stopped
pdftext_data exch /bugFound exch put
pdftext_data /vmmode get setglobal
pdftext_data /restoreStacks get exec
pdftext_data /bugFound get
} bind def
end
setglobal
/pdf_resourcestatus
pdftext_data /testForClonePrinterBug get exec
{
{
pdftext_data /saveStacks get exec
pdftext_data /os get dup dup length 1 sub
dup 1 sub dup 0 lt { pop 0 } if
exch 1 exch { get exch dup } for
pop pop
{ resourcestatus }
stopped
{
clear cleardictstack pdftext_data /restoreStacks get exec
{ pop pop } stopped pop false
}
{
count array astore pdftext_data exch /results exch put
pdftext_data /restoreStacks get exec pop pop
pdftext_data /results get aload pop
}
ifelse
}
}
{ { resourcestatus } }
ifelse
bd
}
if
Level2?
{
/_pdfUndefineResource
{
currentglobal 3 1 roll
_pdf_FontDirectory 2 index 2 copy known
{undef}
{pop pop}
ifelse
1 index (pdf) exch _pdfConcatNames 1 index
1 index 1 _pdfConcatNames 1 index
5 index 1 _pdfConcatNames 1 index
4
{
2 copy pdf_resourcestatus
{
pop 2 lt
{2 copy findresource gcheck setglobal undefineresource}
{pop pop}
ifelse
}
{ pop pop}
ifelse
} repeat
setglobal
} bd
}
{
/_pdfUndefineResource { pop pop} bd
}
ifelse
Level2?
{
/_pdfFontStatus
{
currentglobal exch
/Font pdf_resourcestatus
{pop pop true}
{false}
ifelse
exch setglobal
} bd
}
{
/_pdfFontStatusString 50 string def
_pdfFontStatusString 0 (fonts/) putinterval
/_pdfFontStatus
{
FontDirectory 1 index known
{ pop true }
{
_pdfFontStatusString 6 42 getinterval
cvs length 6 add
_pdfFontStatusString exch 0 exch getinterval
{ status } stopped
{pop false}
{
{ pop pop pop pop true}
{ false }
ifelse
}
ifelse
}
ifelse
} bd
}
ifelse
Level2?
{
/_pdfCIDFontStatus
{
/CIDFont /Category pdf_resourcestatus
{
pop pop
/CIDFont pdf_resourcestatus
{pop pop true}
{false}
ifelse
}
{ pop false }
ifelse
} bd
}
if
/_pdfString100 100 string def
/_pdfComposeFontName
{
dup length 1 eq
{
0 get
1 index
type /nametype eq
{
_pdfString100 cvs
length dup dup _pdfString100 exch (-) putinterval
_pdfString100 exch 1 add dup _pdfString100 length exch sub getinterval
2 index exch cvs length
add 1 add _pdfString100 exch 0 exch getinterval
exch pop
true
}
{
pop pop
false
}
ifelse
}
{
false
}
ifelse
dup {exch cvn exch} if
} bd
/_pdfConcatNames
{
exch
_pdfString100 cvs
length dup dup _pdfString100 exch (-) putinterval
_pdfString100 exch 1 add dup _pdfString100 length exch sub getinterval
3 -1 roll exch cvs length
add 1 add _pdfString100 exch 0 exch getinterval
cvn
} bind def
/_pdfTextTempString 50 string def
/_pdfRegOrderingArray [(Adobe-Japan1) (Adobe-CNS1) (Adobe-Korea1) (Adobe-GB1)] def
/_pdf_CheckCIDSystemInfo
{
1 index _pdfTextTempString cvs
(Identity) anchorsearch
{
pop pop pop pop true
}
{
false
_pdfRegOrderingArray
{
2 index exch
anchorsearch
{ pop pop pop true exit}
{ pop }
ifelse
}
forall
exch pop
exch /CIDFont findresource
/CIDSystemInfo get
3 -1 roll /CMap findresource
/CIDSystemInfo get
exch
3 -1 roll
{
2 copy
/Supplement get
exch
dup type /dicttype eq
{/Supplement get}
{pop 0 }
ifelse
ge
}
{ true }
ifelse
{
dup /Registry get
2 index /Registry get eq
{
/Ordering get
exch /Ordering get
dup type /arraytype eq
{
1 index type /arraytype eq
{
true
1 index length 1 sub -1 0
{
dup 2 index exch get exch 3 index exch get ne
{ pop false exit}
if
} for
exch pop exch pop
}
{ pop pop false }
ifelse
}
{
eq
}
ifelse
}
{ pop pop false }
ifelse
}
{ pop pop false }
ifelse
}
ifelse
} bind def
pdf_has_composefont?
{
/_pdfComposeFont
{
2 copy _pdfComposeFontName not
{
2 index
}
if
(pdf) exch _pdfConcatNames
dup _pdfFontStatus
{ dup findfont 5 2 roll pop pop pop true}
{
4 1 roll
1 index /CMap pdf_resourcestatus
{
pop pop
true
}
{false}
ifelse
1 index true exch
{
_pdfCIDFontStatus not
{pop false exit}
if
}
forall
and
{
1 index 1 index 0 get _pdf_CheckCIDSystemInfo
{
3 -1 roll pop
2 index 3 1 roll
composefont true
}
{
pop pop exch pop false
}
ifelse
}
{
_pdfComposeFontName
{
dup _pdfFontStatus
{
exch pop
1 index exch
findfont definefont true
}
{
pop exch pop
false
}
ifelse
}
{
exch pop
false
}
ifelse
}
ifelse
{ true }
{
dup _pdfFontStatus
{ dup findfont true }
{ pop false }
ifelse
}
ifelse
}
ifelse
} bd
}
{
/_pdfComposeFont
{
_pdfComposeFontName not
{
dup
}
if
dup
_pdfFontStatus
{exch pop dup findfont true}
{
1 index
dup type /nametype eq
{pop}
{cvn}
ifelse
eq
{pop false}
{
dup _pdfFontStatus
{dup findfont true}
{pop false}
ifelse
}
ifelse
}
ifelse
} bd
}
ifelse
/_pdfStyleDicts 4 dict dup begin
/Adobe-Japan1 4 dict dup begin
Level2?
{
/Serif
/HeiseiMin-W3-83pv-RKSJ-H _pdfFontStatus
{/HeiseiMin-W3}
{
/HeiseiMin-W3 _pdfCIDFontStatus
{/HeiseiMin-W3}
{/Ryumin-Light}
ifelse
}
ifelse
def
/SansSerif
/HeiseiKakuGo-W5-83pv-RKSJ-H _pdfFontStatus
{/HeiseiKakuGo-W5}
{
/HeiseiKakuGo-W5 _pdfCIDFontStatus
{/HeiseiKakuGo-W5}
{/GothicBBB-Medium}
ifelse
}
ifelse
def
/HeiseiMaruGo-W4-83pv-RKSJ-H _pdfFontStatus
{/HeiseiMaruGo-W4}
{
/HeiseiMaruGo-W4 _pdfCIDFontStatus
{/HeiseiMaruGo-W4}
{
/Jun101-Light-RKSJ-H _pdfFontStatus
{ /Jun101-Light }
{ SansSerif }
ifelse
}
ifelse
}
ifelse
/RoundSansSerif exch def
/Default Serif def
}
{
/Serif /Ryumin-Light def
/SansSerif /GothicBBB-Medium def
{
(fonts/Jun101-Light-83pv-RKSJ-H) status
}stopped
{pop}{
{ pop pop pop pop /Jun101-Light }
{ SansSerif }
ifelse
/RoundSansSerif exch def
}ifelse
/Default Serif def
}
ifelse
end
def
/Adobe-Korea1 4 dict dup begin
/Serif /HYSMyeongJo-Medium def
/SansSerif /HYGoThic-Medium def
/RoundSansSerif SansSerif def
/Default Serif def
end
def
/Adobe-GB1 4 dict dup begin
/Serif /STSong-Light def
/SansSerif /STHeiti-Regular def
/RoundSansSerif SansSerif def
/Default Serif def
end
def
/Adobe-CNS1 4 dict dup begin
/Serif /MKai-Medium def
/SansSerif /MHei-Medium def
/RoundSansSerif SansSerif def
/Default Serif def
end
def
end
def
/TZzero
{
/_wmode xdd
/_styleArr xdd
/_regOrdering xdd
3 copy
_pdfComposeFont
{
5 2 roll pop pop pop
}
{
[
0 1 _styleArr length 1 sub
{
_styleArr exch get
_pdfStyleDicts _regOrdering 2 copy known
{
get
exch 2 copy known not
{ pop /Default }
if
get
}
{
pop pop pop /Unknown
}
ifelse
}
for
]
exch pop
2 index 3 1 roll
_pdfComposeFont
{3 -1 roll pop}
{
findfont dup /FontName get exch
}
ifelse
}
ifelse
dup /WMode 2 copy known
{ get _wmode ne }
{ pop pop _wmode 1 eq}
ifelse
{
exch _wmode _pdfConcatNames
dup _pdfFontStatus
{ exch pop dup findfont false}
{ exch true }
ifelse
}
{
dup /FontType get 0 ne
}
ifelse
{
dup /FontType get 3 eq _wmode 1 eq and
{
_pdfVerticalRomanT3Font dup length 10 add dict copy
begin
/_basefont exch
dup length 3 add dict
begin
{1 index /FID ne {def}{pop pop} ifelse }
forall
/Encoding Encoding dup length array copy
dup 16#27 /quotesingle put
dup 16#60 /grave put
_regOrdering /Adobe-Japan1 eq
{dup 16#5c /yen put dup 16#a5 /yen put dup 16#b4 /yen put}
if
def
FontName
currentdict
end
definefont
def
/Encoding _basefont /Encoding get def
/_fauxfont true def
}
{
dup length 3 add dict
begin
{1 index /FID ne {def}{pop pop} ifelse }
forall
FontType 0 ne
{
/Encoding Encoding dup length array copy
dup 16#27 /quotesingle put
dup 16#60 /grave put
_regOrdering /Adobe-Japan1 eq
{dup 16#5c /yen put}
if
def
/_fauxfont true def
} if
} ifelse
/WMode _wmode def
dup dup /FontName exch def
currentdict
end
definefont pop
}
{
pop
}
ifelse
/_pdf_FontDirectory 3 1 roll _safeput
}
bd
Level2?
{
/Tf {
_pdf_FontDirectory 2 index 2 copy known
{get exch 3 -1 roll pop}
{pop pop}
ifelse
selectfont
} bd
}
{
/Tf {
_pdf_FontDirectory 2 index 2 copy known
{get exch 3 -1 roll pop}
{pop pop}
ifelse
exch findfont exch
dup type /arraytype eq
{makefont}
{scalefont}
ifelse
setfont
} bd
}
ifelse
/cshow where
{
pop /pdf_cshow /cshow load dd
/pdf_remove2 {pop pop} dd
}
{
/pdf_cshow {exch forall} dd
/pdf_remove2 {} dd
} ifelse
/pdf_xshow
{
/_pdf_na xdd
/_pdf_i 0 dd
currentpoint
/_pdf_y xdd
/_pdf_x xdd
{
pdf_remove2
_pdf_str1 exch 0 exch put
_pdf_str1 /_pdf_showproc load exec
{_pdf_na _pdf_i get} stopped
{ pop pop }
{
_pdf_x _pdf_y moveto
0
rmoveto
}
ifelse
_pdf_i 1 add /_pdf_i xdd
currentpoint
/_pdf_y xdd
/_pdf_x xdd
}
exch
pdf_cshow
} bd
/pdf_yshow
{
/_pdf_na xdd
/_pdf_i 0 dd
currentpoint
/_pdf_y xdd
/_pdf_x xdd
{
pdf_remove2
_pdf_str1 exch 0 exch put
_pdf_str1 /_pdf_showproc load exec
{_pdf_na _pdf_i get} stopped
{ pop pop }
{
_pdf_x _pdf_y moveto
0 exch
rmoveto
}
ifelse
_pdf_i 1 add /_pdf_i xdd
currentpoint
/_pdf_y xdd
/_pdf_x xdd
}
exch
pdf_cshow
} bd
/pdf_xyshow
{
/_pdf_na xdd
/_pdf_i 0 dd
currentpoint
/_pdf_y xdd
/_pdf_x xdd
{
pdf_remove2
_pdf_str1 exch 0 exch put
_pdf_str1 /_pdf_showproc load exec
{_pdf_na _pdf_i get} stopped
{ pop pop }
{
{_pdf_na _pdf_i 1 add get} stopped
{ pop pop pop}
{
_pdf_x _pdf_y moveto
rmoveto
}
ifelse
}
ifelse
_pdf_i 2 add /_pdf_i xdd
currentpoint
/_pdf_y xdd
/_pdf_x xdd
}
exch
pdf_cshow
} bd
/pdfl1xs {/_pdf_showproc /show load dd pdf_xshow} bd
/pdfl1ys {/_pdf_showproc /show load dd pdf_yshow} bd
/pdfl1xys {/_pdf_showproc /show load dd pdf_xyshow} bd
Level2? _ColorSep5044? not and
{
/pdfxs {{xshow} stopped {pdfl1xs} if} bd
/pdfys {{yshow} stopped {pdfl1ys} if} bd
/pdfxys {{xyshow} stopped {pdfl1xys} if} bd
}
{
/pdfxs /pdfl1xs load dd
/pdfys /pdfl1ys load dd
/pdfxys /pdfl1xys load dd
} ifelse
/pdf_charpath {false charpath} bd
/pdf_xcharpath {/_pdf_showproc /pdf_charpath load dd pdf_xshow} bd
/pdf_ycharpath {/_pdf_showproc /pdf_charpath load dd pdf_yshow} bd
/pdf_xycharpath {/_pdf_showproc /pdf_charpath load dd pdf_xyshow} bd
/pdf_strokepath
{
{
pdf_remove2
_pdf_str1 exch 0 exch put
_pdf_str1 false charpath
currentpoint S moveto
} bind
exch pdf_cshow
} bd
/pdf_xstrokepath {/_pdf_showproc {pdf_charpath S} dd pdf_xshow} bd
/pdf_ystrokepath {/_pdf_showproc {pdf_charpath S} dd pdf_yshow} bd
/pdf_xystrokepath {/_pdf_showproc {pdf_charpath S} load dd pdf_xyshow} bd
Level2? {currentglobal true setglobal} if
/d0/setcharwidth ld
/nND {{/.notdef} repeat} bd
/T3Defs {
/BuildChar
{
1 index /Encoding get exch get
1 index /BuildGlyph get exec
}
def
/BuildGlyph {
exch begin
GlyphProcs exch get exec
end
} def
/_pdfT3Font true def
} bd
/_pdfBoldRomanWidthProc
{
stringwidth 1 index 0 ne { exch .03 add exch }if setcharwidth
0 0
} bd
/_pdfType0WidthProc
{
dup stringwidth 0 0 moveto
2 index true charpath pathbbox
0 -1
7 index 2 div .88
setcachedevice2
pop
0 0
} bd
/_pdfType0WMode1WidthProc
{
dup stringwidth
pop 2 div neg -0.88
2 copy
moveto
0 -1
5 -1 roll true charpath pathbbox
setcachedevice
} bd
/_pdfBoldBaseFont
11 dict begin
/FontType 3 def
/FontMatrix[1 0 0 1 0 0]def
/FontBBox[0 0 1 1]def
/Encoding cHexEncoding def
/_setwidthProc /_pdfBoldRomanWidthProc load def
/_bcstr1 1 string def
/BuildChar
{
exch begin
_basefont setfont
_bcstr1 dup 0 4 -1 roll put
dup
_setwidthProc
3 copy
moveto
show
_basefonto setfont
moveto
show
end
}bd
currentdict
end
def
pdf_has_composefont?
{
/_pdfBoldBaseCIDFont
11 dict begin
/CIDFontType 1 def
/CIDFontName /_pdfBoldBaseCIDFont def
/FontMatrix[1 0 0 1 0 0]def
/FontBBox[0 0 1 1]def
/_setwidthProc /_pdfType0WidthProc load def
/_bcstr2 2 string def
/BuildGlyph
{
exch begin
_basefont setfont
_bcstr2 1 2 index 256 mod put
_bcstr2 0 3 -1 roll 256 idiv put
_bcstr2 dup _setwidthProc
3 copy
moveto
show
_basefonto setfont
moveto
show
end
}bd
currentdict
end
def
/_pdfDefineIdentity-H
{
/Identity-H /CMap PDFText /pdf_resourcestatus get exec
{
pop pop
}
{
/CIDInit/ProcSet findresource begin 12 dict begin
begincmap
/CIDSystemInfo
3 dict begin
/Registry (Adobe) def
/Ordering (Identity) def
/Supplement 0 def
currentdict
end
def
/CMapName /Identity-H def
/CMapVersion 1 def
/CMapType 1 def
1 begincodespacerange
<0000>
endcodespacerange
1 begincidrange
<0000> 0
endcidrange
endcmap
CMapName currentdict/CMap defineresource pop
end
end
} ifelse
} def
} if
/_pdfVerticalRomanT3Font
10 dict begin
/FontType 3 def
/FontMatrix[1 0 0 1 0 0]def
/FontBBox[0 0 1 1]def
/_bcstr1 1 string def
/BuildChar
{
exch begin
_basefont setfont
_bcstr1 dup 0 4 -1 roll put
dup
_pdfType0WidthProc
moveto
show
end
}bd
currentdict
end
def
Level2? {setglobal} if
/MakeBoldFont
{
dup /ct_SyntheticBold known
{
dup length 3 add dict begin
CopyFont
/ct_StrokeWidth .03 0 FontMatrix idtransform pop def
/ct_SyntheticBold true def
currentdict
end
definefont
}
{
dup dup length 3 add dict
begin
CopyFont
/PaintType 2 def
/StrokeWidth .03 0 FontMatrix idtransform pop def
/dummybold currentdict
end
definefont
dup /FontType get dup 9 ge exch 11 le and
{
_pdfBoldBaseCIDFont
dup length 3 add dict copy begin
dup /CIDSystemInfo get /CIDSystemInfo exch def
/_Type0Identity /Identity-H 3 -1 roll [ exch ] composefont
/_basefont exch def
/_Type0Identity /Identity-H 3 -1 roll [ exch ] composefont
/_basefonto exch def
currentdict
end
/CIDFont defineresource
}
{
_pdfBoldBaseFont
dup length 3 add dict copy begin
/_basefont exch def
/_basefonto exch def
currentdict
end
definefont
}
ifelse
}
ifelse
} bd
/MakeBold {
1 index
_pdf_FontDirectory 2 index 2 copy known
{get}
{exch pop}
ifelse
findfont
dup
/FontType get 0 eq
{
dup /WMode known {dup /WMode get 1 eq }{false} ifelse
version length 4 ge
and
{version 0 4 getinterval cvi 2015 ge }
{true}
ifelse
{/_pdfType0WidthProc}
{/_pdfType0WMode1WidthProc}
ifelse
_pdfBoldBaseFont /_setwidthProc 3 -1 roll load put
{MakeBoldFont} Type0CopyFont definefont
}
{
dup /_fauxfont known not 1 index /SubstMaster known not and
{
_pdfBoldBaseFont /_setwidthProc /_pdfBoldRomanWidthProc load put
MakeBoldFont
}
{
2 index 2 index eq
{ exch pop }
{
dup length dict begin
CopyFont
currentdict
end
definefont
}
ifelse
}
ifelse
}
ifelse
pop pop
dup /dummybold ne
{/_pdf_FontDirectory exch dup _safeput }
{ pop }
ifelse
}bd
/MakeItalic {
_pdf_FontDirectory exch 2 copy known
{get}
{exch pop}
ifelse
dup findfont
dup /FontInfo 2 copy known
{
get
/ItalicAngle 2 copy known
{get 0 eq }
{ pop pop true}
ifelse
}
{ pop pop true}
ifelse
{
exch pop
dup /FontType get 0 eq Level2? not and
{ dup /FMapType get 6 eq }
{ false }
ifelse
{
dup /WMode 2 copy known
{
get 1 eq
{ _italMtx_WMode1Type0 }
{ _italMtxType0 }
ifelse
}
{ pop pop _italMtxType0 }
ifelse
}
{
dup /WMode 2 copy known
{
get 1 eq
{ _italMtx_WMode1 }
{ _italMtx }
ifelse
}
{ pop pop _italMtx }
ifelse
}
ifelse
makefont
dup /FontType get 42 eq Level2? not or
{
dup length dict begin
CopyFont
currentdict
end
}
if
1 index exch
definefont pop
/_pdf_FontDirectory exch dup _safeput
}
{
pop
2 copy ne
{
/_pdf_FontDirectory 3 1 roll _safeput
}
{ pop pop }
ifelse
}
ifelse
}bd
/MakeBoldItalic {
/dummybold exch
MakeBold
/dummybold
MakeItalic
}bd
Level2?
{
/pdf_CopyDict
{1 index length add dict copy}
def
}
{
/pdf_CopyDict
{
1 index length add dict
1 index wcheck
{ copy }
{ begin
{def} forall
currentdict
end
}
ifelse
}
def
}
ifelse
/pdf_AddEuroGlyphProc
{
currentdict /CharStrings known
{
CharStrings /Euro known not
{
dup
/CharStrings
CharStrings 1 pdf_CopyDict
begin
/Euro pdf_EuroProcSet 4 -1 roll get def
currentdict
end
def
/pdf_PSBuildGlyph /pdf_PSBuildGlyph load def
/pdf_PathOps /pdf_PathOps load def
/Symbol eq
{
/Encoding Encoding dup length array copy
dup 160 /Euro put def
}
if
}
{ pop
}
ifelse
}
{ pop
}
ifelse
}
def
Level2? {currentglobal true setglobal} if
/pdf_PathOps 4 dict dup begin
/m {moveto} def
/l {lineto} def
/c {curveto} def
/cp {closepath} def
end
def
/pdf_PSBuildGlyph
{
gsave
8 -1 roll pop
7 1 roll
currentdict /PaintType 2 copy known {get 2 eq}{pop pop false} ifelse
dup 9 1 roll
{
currentdict /StrokeWidth 2 copy known
{
get 2 div
5 1 roll
4 -1 roll 4 index sub
4 1 roll
3 -1 roll 4 index sub
3 1 roll
exch 4 index add exch
4 index add
5 -1 roll pop
}
{
pop pop
}
ifelse
}
if
setcachedevice
pdf_PathOps begin
exec
end
{
currentdict /StrokeWidth 2 copy known
{ get }
{ pop pop 0 }
ifelse
setlinewidth stroke
}
{
fill
}
ifelse
grestore
} def
/pdf_EuroProcSet 13 dict def
pdf_EuroProcSet
begin
/Courier-Bold
{
600 0 6 -12 585 612
{
385 274 m
180 274 l
179 283 179 293 179 303 c
179 310 179 316 180 323 c
398 323 l
423 404 l
197 404 l
219 477 273 520 357 520 c
409 520 466 490 487 454 c
487 389 l
579 389 l
579 612 l
487 612 l
487 560 l
449 595 394 612 349 612 c
222 612 130 529 98 404 c
31 404 l
6 323 l
86 323 l
86 304 l
86 294 86 284 87 274 c
31 274 l
6 193 l
99 193 l
129 77 211 -12 359 -12 c
398 -12 509 8 585 77 c
529 145 l
497 123 436 80 356 80 c
285 80 227 122 198 193 c
360 193 l
cp
600 0 m
}
pdf_PSBuildGlyph
} def
/Courier-BoldOblique /Courier-Bold load def
/Courier
{
600 0 17 -12 578 584
{
17 204 m
97 204 l
126 81 214 -12 361 -12 c
440 -12 517 17 578 62 c
554 109 l
501 70 434 43 366 43 c
266 43 184 101 154 204 c
380 204 l
400 259 l
144 259 l
144 270 143 281 143 292 c
143 299 143 307 144 314 c
418 314 l
438 369 l
153 369 l
177 464 249 529 345 529 c
415 529 484 503 522 463 c
522 391 l
576 391 l
576 584 l
522 584 l
522 531 l
473 566 420 584 348 584 c
216 584 122 490 95 369 c
37 369 l
17 314 l
87 314 l
87 297 l
87 284 88 272 89 259 c
37 259 l
cp
600 0 m
}
pdf_PSBuildGlyph
} def
/Courier-Oblique /Courier load def
/Helvetica
{
556 0 24 -19 541 703
{
541 628 m
510 669 442 703 354 703 c
201 703 117 607 101 444 c
50 444 l
25 372 l
97 372 l
97 301 l
49 301 l
24 229 l
103 229 l
124 67 209 -19 350 -19 c
435 -19 501 25 509 32 c
509 131 l
492 105 417 60 343 60 c
267 60 204 127 197 229 c
406 229 l
430 301 l
191 301 l
191 372 l
455 372 l
479 444 l
194 444 l
201 531 245 624 348 624 c
433 624 484 583 509 534 c
cp
556 0 m
}
pdf_PSBuildGlyph
} def
/Helvetica-Oblique /Helvetica load def
/Helvetica-Bold
{
556 0 12 -19 563 710
{
563 621 m
537 659 463 710 363 710 c
216 710 125 620 101 462 c
51 462 l
12 367 l
92 367 l
92 346 l
92 337 93 328 93 319 c
52 319 l
12 224 l
102 224 l
131 58 228 -19 363 -19 c
417 -19 471 -12 517 18 c
517 146 l
481 115 426 93 363 93 c
283 93 254 166 246 224 c
398 224 l
438 319 l
236 319 l
236 367 l
457 367 l
497 462 l
244 462 l
259 552 298 598 363 598 c
425 598 464 570 486 547 c
507 526 513 517 517 509 c
cp
556 0 m
}
pdf_PSBuildGlyph
} def
/Helvetica-BoldOblique /Helvetica-Bold load def
/Symbol
{
750 0 20 -12 714 685
{
714 581 m
650 645 560 685 465 685 c
304 685 165 580 128 432 c
50 432 l
20 369 l
116 369 l
115 356 115 347 115 337 c
115 328 115 319 116 306 c
50 306 l
20 243 l
128 243 l
165 97 300 -12 465 -12 c
560 -12 635 25 685 65 c
685 155 l
633 91 551 51 465 51 c
340 51 238 131 199 243 c
555 243 l
585 306 l
184 306 l
183 317 182 326 182 336 c
182 346 183 356 184 369 c
614 369 l 644 432 l
199 432 l
233 540 340 622 465 622 c
555 622 636 580 685 520 c
cp
750 0 m
}
pdf_PSBuildGlyph
} def
/Times-Bold
{
500 0 16 -14 478 700
{
367 308 m
224 308 l
224 368 l
375 368 l
380 414 l
225 414 l
230 589 257 653 315 653 c
402 653 431 521 444 457 c
473 457 l
473 698 l
444 697 l
441 679 437 662 418 662 c
393 662 365 700 310 700 c
211 700 97 597 73 414 c
21 414 l
16 368 l
69 368 l
69 359 68 350 68 341 c
68 330 68 319 69 308 c
21 308 l
16 262 l
73 262 l
91 119 161 -14 301 -14 c
380 -14 443 50 478 116 c
448 136 l
415 84 382 40 323 40 c
262 40 231 77 225 262 c
362 262 l
cp
500 0 m
}
pdf_PSBuildGlyph
} def
/Times-BoldItalic
{
500 0 9 -20 542 686
{
542 686 m
518 686 l
513 673 507 660 495 660 c
475 660 457 683 384 683 c
285 683 170 584 122 430 c
58 430 l
34 369 l
105 369 l
101 354 92 328 90 312 c
34 312 l
9 251 l
86 251 l
85 238 84 223 84 207 c
84 112 117 -14 272 -14 c
326 -14 349 9 381 9 c
393 9 393 -10 394 -20 c
420 -20 l
461 148 l
429 148 l
416 109 362 15 292 15 c
227 15 197 55 197 128 c
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378 251 l
402 312 l
227 312 l
229 325 236 356 241 369 c
425 369 l
450 430 l
255 430 l
257 435 264 458 274 488 c
298 561 337 654 394 654 c
437 654 484 621 484 530 c
484 516 l
516 516 l
cp
500 0 m
}
pdf_PSBuildGlyph
} def
/Times-Italic
{
500 0 23 -10 595 692
{
399 317 m
196 317 l
199 340 203 363 209 386 c
429 386 l
444 424 l
219 424 l
246 514 307 648 418 648 c
448 648 471 638 492 616 c
529 576 524 529 527 479 c
549 475 l
595 687 l
570 687 l
562 674 558 664 542 664 c
518 664 474 692 423 692 c
275 692 162 551 116 424 c
67 424 l
53 386 l
104 386 l
98 363 93 340 90 317 c
37 317 l
23 279 l
86 279 l
85 266 85 253 85 240 c
85 118 137 -10 277 -10 c
370 -10 436 58 488 128 c
466 149 l
424 101 375 48 307 48 c
212 48 190 160 190 234 c
190 249 191 264 192 279 c
384 279 l
cp
500 0 m
}
pdf_PSBuildGlyph
} def
/Times-Roman
{
500 0 10 -12 484 692
{
347 298 m
171 298 l
170 310 170 322 170 335 c
170 362 l
362 362 l
374 403 l
172 403 l
184 580 244 642 308 642 c
380 642 434 574 457 457 c
481 462 l
474 691 l
449 691 l
433 670 429 657 410 657 c
394 657 360 692 299 692 c
204 692 94 604 73 403 c
22 403 l
10 362 l
70 362 l
69 352 69 341 69 330 c
69 319 69 308 70 298 c
22 298 l
10 257 l
73 257 l
97 57 216 -12 295 -12 c
364 -12 427 25 484 123 c
458 142 l
425 101 384 37 316 37 c
256 37 189 84 173 257 c
335 257 l
cp
500 0 m
}
pdf_PSBuildGlyph
} def
end
Level2? {setglobal} if
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PDFText begin
[39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis
/Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute
/egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde
/oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex
/udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
/registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash
/.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef
/.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash
/questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef
/guillemotleft/guillemotright/ellipsis/space/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide
/.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright
/fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex
/Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex
/Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla
/hungarumlaut/ogonek/caron
0 TE
[1/dotlessi/caron 39/quotesingle 96/grave
127/bullet/Euro/bullet/quotesinglbase/florin/quotedblbase/ellipsis
/dagger/daggerdbl/circumflex/perthousand/Scaron/guilsinglleft/OE
/bullet/Zcaron/bullet/bullet/quoteleft/quoteright/quotedblleft
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/currency/yen/brokenbar/section/dieresis/copyright/ordfeminine
/guillemotleft/logicalnot/hyphen/registered/macron/degree/plusminus
/twosuperior/threesuperior/acute/mu/paragraph/periodcentered/cedilla
/onesuperior/ordmasculine/guillemotright/onequarter/onehalf/threequarters
/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla
/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis
/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/multiply/Oslash
/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls/agrave
/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute
/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde
/ograve/oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute
/ucircumflex/udieresis/yacute/thorn/ydieresis
1 TE
end
currentdict readonly pop
end end
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@endspecial 195 1976 a(Figure)28 b(7:)40 b(The)27 b(constraining)g
(graph)f Fl(G)371 2076 y Fq(forms)h(a)g(simple)h(p)r(olygon)f
Fl(P)12 b Fq(.)-150 2290 y Fe(Theorem)31 b(3)42 b Fk(F)-6
b(or)28 b(any)g(p)l(ointe)l(d)h(planar)g(str)l(aight)g(line)f(gr)l(aph)
-150 2389 y Fl(G)23 b Fq(=)g(\()p Fl(S;)14 b(E)5 b Fq(\))30
b Fk(that)g(forms)g(a)g(simple)h(p)l(olygon)g(on)f Fl(S)k
Fk(ther)l(e)c(is)g(a)-150 2489 y(c)l(onstr)l(aine)l(d)i(p)l(ointe)l(d)g
(pseudo-triangulations)h Fn(T)1426 2501 y Fm(G)1513 2489
y Fk(of)g Fl(S)j Fk(with)-150 2589 y(maximum)29 b(vertex)h(de)l(gr)l(e)
l(e)g(seven.)-67 2738 y Fe(Pro)s(of)9 b(:)44 b Fl(S)49
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b(and)53 b(H.)g(Krasser.)2211 2145 y(Adapting)c
(\(pseudo\)-triangulations)h(with)f(a)h(near-linear)2211
2236 y(n)n(um)n(b)r(er)33 b(of)i(edge)f(\015ips.)60 b(In)34
b Fb(Pr)l(o)l(c.)i(8th)g(Intern.)g(Workshop)2211 2327
y(on)27 b(A)n(lgorithms)i(and)f(Data)g(Structur)l(es)p
Fc(,)37 b(\(to)26 b(app)r(ear\).)2088 2433 y([3])43 b(B.)25
b(Chazelle,)j(H.)c(Edelsbrunner,)i(M.)f(Grigni,)i(L.)e(J.)h(Guibas,)
2211 2524 y(J.)c(Hersh)n(b)r(erger,)i(M.)e(Sharir,)h(and)f(J.)h(Sno)r
(eyink.)k(Ra)n(y)22 b(sho)r(ot-)2211 2616 y(ing)h(in)f(p)r(olygons)i
(using)f(geo)r(desic)i(triangulations.)31 b Fb(A)n(lgorith-)2211
2707 y(mic)l(a)p Fc(,)25 b(12:54{68,)k(1994.)2088 2813
y([4])43 b(M.)29 b(Go)r(o)r(dric)n(h)g(and)g(R.)f(T)-6
b(amassia.)45 b(Dynamic)29 b(ra)n(y)f(sho)r(oting)2211
2904 y(and)i(shortest)i(paths)f(in)g(planar)h(sub)r(division)f(via)h
(balanced)2211 2996 y(geo)r(desic)27 b(triangulations.)36
b Fb(J.)27 b(A)n(lgorithms)p Fc(,)g(23:51{73,)i(1997.)2088
3102 y([5])43 b(L.)34 b(Kettner,)j(D.)e(Kirkpatric)n(k,)h(A.)e(Man)n
(tler,)k(J.)e(Sno)r(eyink,)2211 3193 y(B.)28 b(Sp)r(ec)n(kmann,)f(and)g
(F.)h(T)-6 b(ak)n(euc)n(hi.)39 b(Tigh)n(t)29 b(degree)f(b)r(ounds)2211
3284 y(for)23 b(pseudo-triangulations)g(of)g(p)r(oin)n(ts.)30
b Fb(Comp.)24 b(Ge)l(om.)g(The-)2211 3375 y(ory)k(Appl.)p
Fc(,)d(25:1{12,)k(2003.)2088 3481 y([6])43 b(D.)32 b(Kirkpatric)n(k,)j
(J.)e(Sno)r(eyink,)h(and)e(B.)i(Sp)r(ec)n(kmann.)54 b(Ki-)2211
3573 y(netic)36 b(collision)i(detection)f(for)g(simple)g(p)r(olygons.)
67 b Fb(Intern.)2211 3664 y(Journal)28 b(Comp.)f(Ge)l(om.)h(Appl.)p
Fc(,)d(12:3{27,)k(2002.)2088 3770 y([7])43 b(D.)17 b(Kirkpatric)n(k)g
(and)g(B.)h(Sp)r(ec)n(kmann.)h(Kinetic)f(main)n(tenance)2211
3861 y(of)24 b(con)n(text-sensitiv)n(e)f(hierarc)n(hical)i(represen)n
(tations)f(for)g(dis-)2211 3952 y(join)n(t)31 b(simple)h(p)r(olygons.)
52 b(In)31 b Fb(Pr)l(o)l(c.)i(18th)g(SOCG)p Fc(,)f(179{188,)2211
4044 y(2002.)2088 4150 y([8])43 b(M.)23 b(P)n(o)r(cc)n(hiola)h(and)e
(G.)h(V)-6 b(egter.)29 b(Minimal)23 b(tangen)n(t)g(visibilit)n(y)2211
4241 y(graphs.)i Fb(Comput.)e(Ge)l(om.)f(The)l(ory)i(Appl.)p
Fc(,)d(6:303{314,)k(1996.)2088 4347 y([9])43 b(M.)36
b(P)n(o)r(cc)n(hiola)h(and)f(G.)g(V)-6 b(egter.)64 b(T)-6
b(op)r(ologically)38 b(sw)n(eeping)2211 4438 y(visibilit)n(y)22
b(complexes)h(via)g(pseudo-triangulations.)29 b Fb(Discr)l(ete)2211
4530 y(Comp.)e(Ge)l(om.)p Fc(,)f(16:419{453,)k(1996.)2050
4635 y([10])43 b(G.)31 b(Rote,)h(C.)f(A.)g(W)-6 b(ang,)32
b(L.)f(W)-6 b(ang,)32 b(and)e(Y.)h(Xu.)48 b(On)30 b(con-)2211
4727 y(strained)i(minim)n(um)h(pseudotriangulations.)56
b(In)32 b Fb(Pr)l(o)l(c.)i(9th)2211 4818 y(Intern.)27
b(Comp.)g(Comb.)h(Conf.)e Fc(,)g(2003.)36 b(\(to)26 b(app)r(ear\).)2050
4924 y([11])43 b(B.)30 b(Sp)r(ec)n(kmann)f(and)h(Cs.)h(D.)g(T\023)-38
b(oth.)48 b(Allo)r(cating)32 b(v)n(ertex)d Fa(\031)s
Fc(-)2211 5015 y(guards)21 b(in)g(simple)g(p)r(olygons)h(via)f
(pseudo-triangulations.)28 b(In)2211 5107 y Fb(Pr)l(o)l(c.)g(14th)g
(Symp.)f(Disc.)g(A)n(lg.)p Fc(,)f(109{118,)j(2003.)2050
5212 y([12])43 b(I.)35 b(Strein)n(u.)63 b(A)35 b(com)n(binatorial)i
(approac)n(h)e(to)h(planar)g(non-)2211 5304 y(colliding)41
b(rob)r(ot)g(arm)f(motion)h(planning.)77 b(In)40 b Fb(Pr)l(o)l(c.)h
(41st)2211 5395 y(F)n(OCS)p Fc(,)25 b(443{453,)k(2000.)1929
5790 y Fq(4)p eop end
%%Trailer
userdict /end-hook known{end-hook}if
%%EOF