%!PS-Adobe-2.0 %%Creator: dvips(k) 5.96 Copyright 2005 Radical Eye Software %%Title: recomb09cg_submission_4_jcb_final.dvi %%CreationDate: Sat May 1 13:35:58 2010 %%Pages: 26 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentFonts: CMBX12 CMR12 CMR8 CMMI8 CMR6 CMR9 CMTT9 CMBX9 CMTI9 %%+ CMMI12 CMMI6 CMTI12 CMSY8 CMSY10 CMSY6 CMTT12 CMMI9 %%DocumentPaperSizes: Letter %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -f recomb09cg_submission_4_jcb_final %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2010.05.01:1335 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: texps.pro 0 0 %! 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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 0 /minus put dup 3 /asteriskmath put readonly def /FontBBox{-4 -948 1329 786}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A 221A37D9A807DD01161779DDE7D5FC1B2109839E5B52DFB7605D7BA557CC35D6 49F6EB651B83771034BA0C39DB8D426A24543EF4529E2D939125B5157482688E 9045C2242F4AFA4C489D975C029177CD6497EACD181FF151A45F521A4C4043C2 1F3E76EF5B3291A941583E27DFC68B9211105827590393ABFB8AA4D1623D1761 6AC0DF1D3154B0277BE821712BE7B33385E7A4105E8F3370F981B8FE9E3CF3E0 007B8C9F2D934F24D591C330487DDF179CECEC5258C47E4B32538F948AB00673 F9D549C971B0822056B339600FC1E3A5E51844CC8A75B857F15E7276260ED115 C5FD550F53CE5583743B50B0F9B7C4F836DEF6BA1ABE5F0F80D96571277EAF86 A3AAFCE3693728E396048C32573DAA11E6D2F036BD9756F1F0A5877DD15DC64A A9C2E20B570464B31E783692E6D10101828C4F6DF30A155808A7697D24C5854D DD1D111B4B4FE343E045A0FD3B2F13E69E86DAEDA05BD3652EB89D54EA09F1AD 21AFFD14905002BAB1B4B6255AF7CE887AA2E890ECF359AA2CB6CBDA8EBECA5B E356F639EF564863B33DCA632F664832A6605DD1D7B53D95BE9F104DA7DD1507 BE1F98BA5FF17CDBE936BE543CA34D3B6D1D27202FE54CAA00CE69DF26821959 85B05A247E013BD4FC806C6FC6A6C798A8D9C7461FB261DFF6C979652A2D97FA 35F2DCA13001B99659AA4F0442A87881830B9E59B20C82D245B3CBC50A24F8D7 D8C2F7E0BE7BB2D32C681F87840C252564E10A85B5BD0E46F59D740B9C6B849A 1ABBD853156290ECFE523D22786C0709821B06A1B893385F3FB5AB12DC67425E 1B7340AE67CE5C75BBA5B359408F5D566BC8A3B6776B73C347F88E01BD66DADB 441D96FB208C35E0016AC8AF5135C45800DC4F62175B74CB6C94C2410BDB8B28 A119156022E19F5DB1BF948427A07D75C2E7DF2FBEBC477EC33F702B885D7794 1C1019 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 2 /multiply put dup 18 /reflexsubset put dup 20 /lessequal put dup 21 /greaterequal put dup 26 /propersubset put dup 33 /arrowright put dup 41 /arrowdblright put dup 50 /element put dup 54 /negationslash put dup 91 /union put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 110 /backslash put dup 116 /unionsq put dup 117 /intersectionsq put readonly def /FontBBox{-29 -960 1116 775}readonly def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 13 /fl put dup 44 /comma put dup 46 /period 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 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 73 /I put dup 77 /M 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 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 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cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 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 48 /prime put readonly def /FontBBox{-30 -955 1185 779}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A 221A37D9A807DD01161779DDE7D5FC1B2109839E5B52DFBB2A7C1B5D8E7E8AA0 5B10EA43D6A8ED61AF5B23D49920D8F79DAB6A59062134D84AC0100187A6CD1F 80F5DDD9D222ACB1C23326A7656A635C4A241CCD32CBFDF8363206B8AA36E107 1477F5496111E055C7491002AFF272E46ECC46422F0380D093284870022523FB DA1716CC4F2E2CCAD5F173FCBE6EDDB874AD255CD5E5C0F86214393FCB5F5C20 9C3C2BB5886E36FC3CCC21483C3AC193485A46E9D22BD7201894E4D45ADD9BF1 CC5CF6A5010B5654AC0BE0DA903DB563B13840BA3015F72E51E3BC80156388BA F83C7D393392BCBC227771CDCB976E93302530FA3F4BEF341997D4302A48384A CEFFC1559462EA5F60DC05245E8499D8E61397B2C094CEED1AF26EE15A837209 ECE64FEF41ABE8DDA7BE1F351CF14E07BA8FD40CEFBFC3CE7B9D4912D6FE752D 9CF163084E688DDCC4B5AAEDEB6E94DDDE34330BA35394A8B485E767F0F94A71 4532F3B89C51AC3FD1C082EF41EA489B9595B4120FDCA2F599C88F5058126CD1 4C7F96B4FE22BAB1A5E16F215DECBCE4186C68B6263BD5331CDC1FF9F30332A7 7B831255A41A642C5719272C6B5993171CA395A0D11B6376457EC30E1CDE47A4 9B9EE95D112C64084901B6357E881C0DEB6836B80F21E57B660388BA4F7B89EB 9AF7DE8AEA702FC5B765552F78058A20E424277F667A4E9955A797593CE44E19 A98F149CA17D6379040A1C836CA18234278DFDA205EFD55D527C7F38766D4C97 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI12 %!PS-AdobeFont-1.1: CMTI12 1.0 %%CreationDate: 1991 Aug 18 21:06:53 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 13 /fl put dup 35 /numbersign put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 52 /four put dup 55 /seven 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 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 87 /W put dup 90 /Z put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-36 -251 1103 750}readonly def currentdict end currentfile eexec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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 (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 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 63 /star put dup 96 /lscript put dup 107 /k put dup 112 /p put dup 113 /q put readonly def /FontBBox{11 -250 1241 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5 5250011D19E9366EB6FD153D3A100CAA6212E3D5D93990737F8D326D347B7EDC 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI12 %!PS-AdobeFont-1.1: CMMI12 1.100 %%CreationDate: 1996 Jul 27 08:57:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 1 /Delta put dup 10 /Omega put dup 58 /period put dup 59 /comma put dup 62 /greater put dup 66 /B put dup 67 /C put dup 68 /D put dup 70 /F put dup 71 /G put dup 73 /I put dup 74 /J put dup 77 /M put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 84 /T put dup 88 /X put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 105 /i put dup 106 /j put dup 107 /k put dup 109 /m put dup 110 /n put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 120 /x put readonly def /FontBBox{-30 -250 1026 750}readonly def currentdict end currentfile eexec 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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 (CMBX9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX9 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 49 /one put dup 50 /two put dup 51 /three put dup 65 /A put dup 70 /F put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 101 /e put dup 103 /g put dup 105 /i put dup 108 /l put dup 114 /r put dup 115 /s put dup 116 /t put readonly def /FontBBox{-58 -250 1195 750}readonly def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTT9 %!PS-AdobeFont-1.1: CMTT9 1.0 %%CreationDate: 1991 Aug 20 16:46:24 % 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 (CMTT9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def /FontName /CMTT9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 64 /at 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 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 readonly def /FontBBox{-6 -233 542 698}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 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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 12 /fi put dup 13 /fl put dup 14 /ffi put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 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 73 /I put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 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 127 /dieresis put readonly def /FontBBox{-39 -250 1036 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163BC1F3352E22A1452E73FECA8A4 87100FB1FFC4C8AF409B2067537220E605DA0852CA49839E1386AF9D7A1A455F 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 43 /plus put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put readonly def /FontBBox{-20 -250 1193 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 1 /Delta put dup 59 /comma put dup 63 /star put dup 67 /C put dup 73 /I put dup 74 /J put dup 77 /M put dup 83 /S put dup 86 /V put dup 88 /X put dup 105 /i put dup 106 /j put dup 107 /k put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 115 /s put readonly def /FontBBox{-24 -250 1110 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 57 /nine put dup 97 /a put dup 103 /g put dup 108 /l put dup 109 /m put dup 111 /o put dup 120 /x put readonly def /FontBBox{-36 -250 1070 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 35 /numbersign put dup 37 /percent put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 63 /question put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 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 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 127 /dieresis put readonly def /FontBBox{-34 -251 988 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F 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Fg(b)-5 b(e)47 b(a)g(set)g(of)g(MTC)g (\(r)-5 b(esp.)46 b(MF)n(C\))g(of)h(a)g(monotone)0 5219 y(b)-5 b(o)g(ole)g(an)44 b(function)g Fi(f)11 b Fg(.)44 b(The)g(pr)-5 b(oblem)44 b(of)g(de)-5 b(ciding)44 b(if)g Fi(C)52 b Fg(c)-5 b(ontains)44 b(al)5 b(l)44 b(MTC)h(\(r)-5 b(esp.)44 b(MF)n(C\))f(of)i Fi(f)55 b Fg(is)0 5400 y(c)-5 b(oNP-c)g(omplete.)p eop end %%Page: 12 12 TeXDict begin 12 11 bop 0 100 a Fe(Theorem)38 b(4.)49 b Fr(\(15\))42 b Fg(The)h(pr)-5 b(oblem)42 b(of)h(gener)-5 b(ating)42 b(al)5 b(l)42 b(MTC)h(of)g(a)g(monotone)f(b)-5 b(o)g(ole)g(an)42 b(function)g Fi(f)0 280 y Fg(using)30 b(an)h(or)-5 b(acle)30 b(to)g(evaluate)h(this)f(function)h(c)-5 b(an)30 b(r)-5 b(e)g(quir)g(e)30 b(up)h(to)g Fd(j)p Fi(M)10 b(T)k(C)7 b Fr(\()p Fi(f)k Fr(\))i(+)g Fi(M)d(F)k(C)7 b Fr(\()p Fi(f)k Fr(\))p Fd(j)29 b Fg(c)-5 b(al)5 b(ls)30 b(to)h(this)0 461 y(or)-5 b(acle.)146 697 y Fr(This)34 b(prop)s(ert)m(y)f(suggests)h(that,)e(in)h(general,)f(to)g(generate)h 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y(substan)m(tial)e(duplication)f(of)e(e\013ort.)h(In)h(fact,)f(this)h (algorithm)f(can)g(easily)h(b)s(e)g(mo)s(di\014ed)f(to)g(pro)s(duce)0 2142 y Fg(any)32 b Fr(monotone)h(b)s(o)s(olean)f(function)h(giv)m(en)h (b)m(y)g(a)e(truth)h(oracle.)146 2323 y(One)i(of)e(the)i(ma)5 b(jor)34 b(results)h(on)f(generating)g(MTC)i(for)d(monotone)h(b)s(o)s (olean)g(functions,)h(is)g(due)f(to)0 2503 y(F)-8 b(redman)43 b(and)f(Khac)m(hiy)m(an.)i(It)e(states)i(that)e(generating)h(b)s(oth)f (sets)h(together)g(can)f(b)s(e)h(ac)m(hiev)m(ed)i(in)0 2684 y(time)33 b(quasi-p)s(olynomial)h(in)f(the)g(n)m(um)m(b)s(er)h(of) e(MTC)h(plus)h(the)f(n)m(um)m(b)s(er)h(of)e(MF)m(C.)0 2920 y Fe(Theorem)38 b(5.)49 b Fr(\(13\))36 b Fg(L)-5 b(et)38 b Fi(f)k Fr(:)32 b Fd(f)p Fr(0)p Fi(;)17 b Fr(1)p Fd(g)1383 2884 y Fp(m)1480 2920 y Fd(!)32 b(f)p Fr(0)p Fi(;)17 b Fr(1)p Fd(g)36 b Fg(b)-5 b(e)36 b(a)h(monotone)f(b)-5 b(o)g(ole)g(an)36 b(function)h(whose)f(value)h(at)0 3101 y(any)29 b(p)-5 b(oint)29 b Fi(x)f Fd(2)g(f)p Fr(0)p 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b(matrices)i(that)e(do)g(not)g(ha)m(v)m(e)i (the)e(Consecutiv)m(e)k(Ones)d(Prop)s(ert)m(y)-8 b(.)55 b(MSc.)201 3711 y(Thesis,)34 b(Departmen)m(t)f(of)g(Mathematics,)h (Simon)f(F)-8 b(raser)32 b(Univ)m(ersit)m(y)-8 b(.)p eop end %%Page: 23 23 TeXDict begin 23 22 bop 0 100 a Fj(App)t(endix:)44 b(the)h(\014v)l(e)g (T)-11 b(uc)l(k)l(er)45 b(patterns)1212 1169 y Fi(M)1306 1184 y Fp(I)1374 1169 y Fr(:)p 1429 420 1259 4 v 1427 600 4 181 v 1623 600 V 1636 546 a Fi(c)1678 561 y Fq(1)1741 546 y Fi(c)1783 561 y Fq(2)1845 546 y Fi(c)1887 561 y Fq(3)1950 546 y Fi(c)1992 561 y Fq(4)2055 546 y Fi(:)17 b(:)g(:)39 b(c)2251 561 y Fp(q)2312 546 y Fi(c)2354 561 y Fp(q)r Fq(+1)2506 546 y Fi(c)2548 561 y Fp(q)r Fq(+2)p 2686 600 V 1429 604 1259 4 v 1427 784 4 181 v 1529 730 a Fi(r)1573 745 y Fq(1)p 1623 784 V 1649 730 a Fe(1)48 b(1)53 b Fr(0)i(0)40 b Fi(:)17 b(:)g(:)55 b Fr(0)99 b(0)145 b(0)p 2686 784 V 1427 965 V 1529 911 a Fi(r)1573 926 y Fq(2)p 1623 965 V 1652 911 a Fr(0)52 b Fe(1)d(1)j Fr(0)40 b Fi(:)17 b(:)g(:)55 b Fr(0)99 b(0)145 b(0)p 2686 965 V 1427 1145 V 1529 1091 a Fi(r)1573 1106 y Fq(3)p 1623 1145 V 1652 1091 a Fr(0)56 b(0)c Fe(1)d(1)36 b Fi(:)17 b(:)g(:)55 b Fr(0)99 b(0)145 b(0)p 2686 1145 V 1427 1326 V 1586 1205 a(.)1586 1239 y(.)1586 1272 y(.)p 1623 1326 V 1663 1205 a(.)1663 1239 y(.)1663 1272 y(.)1768 1205 y(.)1768 1239 y(.)1768 1272 y(.)1873 1205 y(.)1873 1239 y(.)1873 1272 y(.)1977 1205 y(.)1977 1239 y(.)1977 1272 y(.)2069 1214 y(.)2107 1239 y(.)2145 1264 y(.)2236 1205 y(.)2236 1239 y(.)2236 1272 y(.)2384 1205 y(.)2384 1239 y(.)2384 1272 y(.)2577 1205 y(.)2577 1239 y(.)2577 1272 y(.)p 2686 1326 V 1427 1507 V 1531 1452 a Fi(r)1575 1467 y Fp(q)p 1623 1507 V 1652 1452 a Fr(0)56 b(0)g(0)f(0)40 b Fi(:)17 b(:)g(:)51 b Fe(1)92 b(1)142 b Fr(0)p 2686 1507 V 1427 1687 V 1441 1633 a Fi(r)1485 1648 y Fp(q)r Fq(+1)p 1623 1687 V 1652 1633 a Fr(0)56 b(0)g(0)f(0)40 b Fi(:)17 b(:)g(:)55 b Fr(0)95 b Fe(1)138 b(1)p 2686 1687 V 1427 1868 V 1441 1813 a Fi(r)1485 1828 y Fp(q)r Fq(+2)p 1623 1868 V 1649 1813 a Fe(1)52 b Fr(0)k(0)f(0)40 b Fi(:)17 b(:)g(:)55 b Fr(0)99 b(0)141 b Fe(1)p 2686 1868 V 1429 1871 1259 4 v 1098 2958 a Fi(M)1192 2973 y Fp(I)5 b(I)1295 2958 y Fr(:)p 1350 2119 1453 4 v 1348 2299 4 181 v 1544 2299 V 1557 2245 a Fi(c)1599 2260 y Fq(1)1662 2245 y Fi(c)1704 2260 y Fq(2)1767 2245 y Fi(c)1809 2260 y Fq(3)1871 2245 y Fi(c)1913 2260 y Fq(4)1976 2245 y Fi(:)17 b(:)g(:)39 b(c)2172 2260 y Fp(q)2234 2245 y Fi(c)2276 2260 y Fp(q)r Fq(+1)2427 2245 y Fi(c)2469 2260 y Fp(q)r Fq(+2)2620 2245 y Fi(c)2662 2260 y Fp(q)r Fq(+3)p 2801 2299 V 1350 2303 1453 4 v 1348 2483 4 181 v 1451 2429 a Fi(r)1495 2444 y Fq(1)p 1544 2483 V 1570 2429 a Fe(1)49 b(1)j Fr(0)k(0)39 b Fi(:)17 b(:)g(:)55 b Fr(0)99 b(0)145 b(0)f(0)p 2801 2483 V 1348 2664 V 1451 2610 a Fi(r)1495 2625 y Fq(2)p 1544 2664 V 1574 2610 a Fr(0)52 b Fe(1)c(1)53 b Fr(0)39 b Fi(:)17 b(:)g(:)55 b Fr(0)99 b(0)145 b(0)f(0)p 2801 2664 V 1348 2844 V 1451 2790 a Fi(r)1495 2805 y Fq(3)p 1544 2844 V 1574 2790 a Fr(0)55 b(0)d Fe(1)d(1)36 b Fi(:)17 b(:)g(:)55 b Fr(0)99 b(0)145 b(0)f(0)p 2801 2844 V 1348 3025 V 1507 2904 a(.)1507 2938 y(.)1507 2971 y(.)p 1544 3025 V 1584 2904 a(.)1584 2938 y(.)1584 2971 y(.)1689 2904 y(.)1689 2938 y(.)1689 2971 y(.)1794 2904 y(.)1794 2938 y(.)1794 2971 y(.)1898 2904 y(.)1898 2938 y(.)1898 2971 y(.)1990 2913 y(.)2028 2938 y(.)2066 2963 y(.)2157 2904 y(.)2157 2938 y(.)2157 2971 y(.)2305 2904 y(.)2305 2938 y(.)2305 2971 y(.)2499 2904 y(.)2499 2938 y(.)2499 2971 y(.)2692 2904 y(.)2692 2938 y(.)2692 2971 y(.)p 2801 3025 V 1348 3206 V 1452 3151 a Fi(r)1496 3166 y Fp(q)p 1544 3206 V 1574 3151 a Fr(0)55 b(0)h(0)g(0)39 b Fi(:)17 b(:)g(:)51 b Fe(1)93 b(1)141 b Fr(0)j(0)p 2801 3206 V 1348 3386 V 1362 3332 a Fi(r)1406 3347 y Fp(q)r Fq(+1)p 1544 3386 V 1574 3332 a Fr(0)55 b(0)h(0)g(0)39 b Fi(:)17 b(:)g(:)55 b Fr(0)96 b Fe(1)137 b(1)k Fr(0)p 2801 3386 V 1348 3567 V 1362 3513 a Fi(r)1406 3528 y Fp(q)r Fq(+2)p 1544 3567 V 1570 3513 a Fe(1)49 b(1)f(1)h(1)36 b Fi(:)17 b(:)g(:)51 b Fe(1)93 b(1)141 b Fr(0)g Fe(1)p 2801 3567 V 1348 3747 V 1362 3693 a Fi(r)1406 3708 y Fp(q)r Fq(+3)p 1544 3747 V 1574 3693 a Fr(0)52 b Fe(1)c(1)h(1)36 b Fi(:)17 b(:)g(:)51 b Fe(1)93 b(1)137 b(1)h(1)p 2801 3747 V 1350 3751 1453 4 v 1080 4747 a Fi(M)1174 4762 y Fp(I)5 b(I)g(I)1313 4747 y Fr(:)p 1368 3999 V 1366 4179 4 181 v 1562 4179 V 1575 4125 a Fi(c)1617 4140 y Fq(1)1680 4125 y Fi(c)1722 4140 y Fq(2)1785 4125 y Fi(c)1827 4140 y Fq(3)1889 4125 y Fi(c)1931 4140 y Fq(4)1994 4125 y Fi(:)17 b(:)g(:)39 b(c)2190 4140 y Fp(q)2251 4125 y Fi(c)2293 4140 y Fp(q)r Fq(+1)2445 4125 y Fi(c)2487 4140 y Fp(q)r Fq(+2)2638 4125 y Fi(c)2680 4140 y Fp(q)r Fq(+3)p 2819 4179 V 1368 4182 1453 4 v 1366 4363 4 181 v 1469 4309 a Fi(r)1513 4324 y Fq(1)p 1562 4363 V 1588 4309 a Fe(1)49 b(1)j Fr(0)k(0)39 b Fi(:)17 b(:)g(:)55 b Fr(0)99 b(0)145 b(0)f(0)p 2819 4363 V 1366 4544 V 1469 4489 a Fi(r)1513 4504 y Fq(2)p 1562 4544 V 1592 4489 a Fr(0)52 b Fe(1)c(1)53 b Fr(0)39 b Fi(:)17 b(:)g(:)55 b Fr(0)99 b(0)145 b(0)f(0)p 2819 4544 V 1366 4724 V 1469 4670 a Fi(r)1513 4685 y Fq(3)p 1562 4724 V 1592 4670 a Fr(0)55 b(0)d Fe(1)d(1)36 b Fi(:)17 b(:)g(:)55 b Fr(0)99 b(0)145 b(0)f(0)p 2819 4724 V 1366 4905 V 1525 4784 a(.)1525 4817 y(.)1525 4851 y(.)p 1562 4905 V 1602 4784 a(.)1602 4817 y(.)1602 4851 y(.)1707 4784 y(.)1707 4817 y(.)1707 4851 y(.)1812 4784 y(.)1812 4817 y(.)1812 4851 y(.)1916 4784 y(.)1916 4817 y(.)1916 4851 y(.)2008 4792 y(.)2046 4817 y(.)2084 4843 y(.)2175 4784 y(.)2175 4817 y(.)2175 4851 y(.)2323 4784 y(.)2323 4817 y(.)2323 4851 y(.)2516 4784 y(.)2516 4817 y(.)2516 4851 y(.)2710 4784 y(.)2710 4817 y(.)2710 4851 y(.)p 2819 4905 V 1366 5085 V 1470 5031 a Fi(r)1514 5046 y Fp(q)p 1562 5085 V 1592 5031 a Fr(0)55 b(0)h(0)g(0)39 b Fi(:)17 b(:)g(:)51 b Fe(1)93 b(1)141 b Fr(0)j(0)p 2819 5085 V 1366 5266 V 1380 5212 a Fi(r)1424 5227 y Fp(q)r Fq(+1)p 1562 5266 V 1592 5212 a Fr(0)55 b(0)h(0)g(0)39 b Fi(:)17 b(:)g(:)55 b Fr(0)96 b Fe(1)137 b(1)k Fr(0)p 2819 5266 V 1366 5446 V 1380 5392 a Fi(r)1424 5407 y Fp(q)r Fq(+2)p 1562 5446 V 1592 5392 a Fr(0)52 b Fe(1)c(1)h(1)36 b Fi(:)17 b(:)g(:)51 b Fe(1)93 b(1)141 b Fr(0)f Fe(1)p 2819 5446 V 1368 5450 1453 4 v eop end %%Page: 24 24 TeXDict begin 24 23 bop 1446 589 a Fi(M)1540 604 y Fp(I)5 b(V)1665 589 y Fr(:)p 1719 111 735 4 v 1717 292 4 181 v 1824 292 V 1838 238 a Fi(c)1880 253 y Fq(1)1942 238 y Fi(c)1984 253 y Fq(2)2047 238 y Fi(c)2089 253 y Fq(3)2152 238 y Fi(c)2194 253 y Fq(4)2256 238 y Fi(c)2298 253 y Fq(5)2361 238 y Fi(c)2403 253 y Fq(6)p 2452 292 V 1719 295 735 4 v 1717 476 4 181 v 1731 422 a Fi(r)1775 437 y Fq(1)p 1824 476 V 1850 422 a Fe(1)49 b(1)j Fr(0)k(0)g(0)f(0)p 2452 476 V 1717 656 V 1731 602 a Fi(r)1775 617 y Fq(2)p 1824 656 V 1854 602 a Fr(0)h(0)c Fe(1)c(1)53 b Fr(0)i(0)p 2452 656 V 1717 837 V 1731 783 a Fi(r)1775 798 y Fq(3)p 1824 837 V 1854 783 a Fr(0)h(0)f(0)h(0)c Fe(1)d(1)p 2452 837 V 1717 1017 V 1731 963 a Fi(r)1775 978 y Fq(4)p 1824 1017 V 1854 963 a Fr(0)j Fe(1)g Fr(0)g Fe(1)h Fr(0)f Fe(1)p 2452 1017 V 1719 1021 735 4 v 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3448 4 v 226 2419 V 224 2556 4 137 v 238 2515 a(all)g(v)l(alues)p 557 2556 V 212 w(16)p 1033 2556 V 388 w(583)p 1524 2556 V 416 w(96.7)p 2115 2556 V 409 w(160)p 2591 2556 V 330 w(23474)p 3081 2556 V 341 w(5312.5)p 3672 2556 V 226 2559 3448 4 v 569 2619 a Fl(T)-7 b(able)28 b(1.)d Fn(Statistics)i(on)f(the)f(n)n(um)n(b)r(er)g(of)h(MCS)g(and)g (MC1PS)g(in)g(all)h(completed)f(datasets.)p eop end %%Page: 26 26 TeXDict begin 26 25 bop 715 393 2471 4 v 713 530 4 137 v 727 489 a Fn(Dataset)p 996 530 V 23 w(Av)n(erage)p 1290 530 V 23 w(Av)n(erage)p 1584 530 V 55 w(Av)n(erage)p 1940 530 V 87 w(Av)n(erage)p 2302 530 V 57 w(Av)n(erage)26 b(FP)p 2724 530 V 42 w(Av)n(erage)g(FP)p 3184 530 V 713 667 V 996 667 V 1024 626 a(FP)p 1131 626 24 4 v 28 w(CR)p 1290 667 4 137 v 49 w(TP)p 1427 626 24 4 v 29 w(CR)p 1585 667 4 137 v 35 w(FP)p 1705 626 24 4 v 28 w(C1PR)p 1940 667 4 137 v 24 w(TP)p 2066 626 24 4 v 28 w(C1PR)p 2301 667 4 137 v 51 w(MCS)g(rank)p 2724 667 V 49 w(MC1PS)h(rank)p 3184 667 V 715 671 2471 4 v 715 687 V 713 824 4 137 v 777 783 a(\(2,2\))p 996 824 V 142 w(0.20)p 1290 824 V 160 w(0.05)p 1585 824 V 190 w(0.66)p 1940 824 V 224 w(0.82)p 2302 824 V 237 w(39.65)p 2724 824 V 268 w(15.47)p 3184 824 V 715 828 2471 4 v 713 965 4 137 v 777 923 a(\(3,2\))p 996 965 V 142 w(0.20)p 1290 965 V 160 w(0.06)p 1585 965 V 190 w(0.67)p 1940 965 V 224 w(0.76)p 2302 965 V 237 w(38.48)p 2724 965 V 268 w(19.27)p 3184 965 V 715 968 2471 4 v 713 1105 4 137 v 777 1064 a(\(4,2\))p 996 1105 V 142 w(0.21)p 1290 1105 V 160 w(0.06)p 1585 1105 V 190 w(0.61)p 1940 1105 V 224 w(0.73)p 2302 1105 V 237 w(39.35)p 2724 1105 V 268 w(18.45)p 3184 1105 V 715 1108 2471 4 v 713 1245 4 137 v 777 1204 a(\(5,2\))p 996 1245 V 142 w(0.21)p 1290 1245 V 160 w(0.05)p 1585 1245 V 190 w(0.59)p 1940 1245 V 224 w(0.69)p 2302 1245 V 237 w(38.37)p 2724 1245 V 268 w(19.57)p 3184 1245 V 715 1248 2471 4 v 715 1265 V 713 1402 4 137 v 777 1361 a(\(2,5\))p 996 1402 V 142 w(0.21)p 1290 1402 V 160 w(0.07)p 1585 1402 V 190 w(0.69)p 1940 1402 V 224 w(0.79)p 2302 1402 V 237 w(39.53)p 2724 1402 V 268 w(17.72)p 3184 1402 V 715 1405 2471 4 v 713 1542 4 137 v 777 1501 a(\(3,5\))p 996 1542 V 142 w(0.21)p 1290 1542 V 160 w(0.07)p 1585 1542 V 190 w(0.63)p 1940 1542 V 224 w(0.73)p 2302 1542 V 237 w(38.33)p 2724 1542 V 268 w(18.72)p 3184 1542 V 715 1546 2471 4 v 713 1683 4 137 v 777 1642 a(\(4,5\))p 996 1683 V 142 w(0.21)p 1290 1683 V 160 w(0.06)p 1585 1683 V 190 w(0.60)p 1940 1683 V 224 w(0.65)p 2302 1683 V 237 w(38.16)p 2724 1683 V 268 w(21.19)p 3184 1683 V 715 1686 2471 4 v 713 1823 4 137 v 777 1782 a(\(5,5\))p 996 1823 V 142 w(0.21)p 1290 1823 V 160 w(0.06)p 1585 1823 V 190 w(0.59)p 1940 1823 V 224 w(0.65)p 2302 1823 V 237 w(37.91)p 2724 1823 V 268 w(21.33)p 3184 1823 V 715 1826 2471 4 v 715 1843 V 713 1980 4 137 v 758 1939 a(\(2,10\))p 996 1980 V 123 w(0.27)p 1290 1980 V 160 w(0.11)p 1585 1980 V 190 w(0.62)p 1940 1980 V 224 w(0.81)p 2302 1980 V 237 w(38.20)p 2724 1980 V 268 w(14.02)p 3184 1980 V 715 1983 2471 4 v 713 2120 4 137 v 758 2079 a(\(3,10\))p 996 2120 V 123 w(0.23)p 1290 2120 V 160 w(0.08)p 1585 2120 V 190 w(0.62)p 1940 2120 V 224 w(0.69)p 2302 2120 V 237 w(36.41)p 2724 2120 V 268 w(19.92)p 3184 2120 V 715 2124 2471 4 v 713 2261 4 137 v 758 2219 a(\(4,10\))p 996 2261 V 123 w(0.26)p 1290 2261 V 160 w(0.07)p 1585 2261 V 190 w(0.55)p 1940 2261 V 224 w(0.62)p 2302 2261 V 237 w(39.52)p 2724 2261 V 268 w(20.19)p 3184 2261 V 715 2264 2471 4 v 713 2401 4 137 v 758 2360 a(\(5,10\))p 996 2401 V 123 w(0.23)p 1290 2401 V 160 w(0.07)p 1585 2401 V 190 w(0.55)p 1940 2401 V 224 w(0.58)p 2302 2401 V 237 w(37.15)p 2724 2401 V 268 w(22.38)p 3184 2401 V 715 2404 2471 4 v 0 2464 a Fl(T)-7 b(able)29 b(2.)d Fn(Statistics)h(on)g(MCS)g(and)f(MC1PS)i(on) e(sim)n(ulated)h(datasets.)h(FP)p 2295 2464 24 4 v 28 w(CR)e(is)h(the)g(Con\015icting)g(Ratio)g(for)g(F)-6 b(alse)27 b(P)n(ositiv)n(es,)0 2601 y(TP)p 112 2601 V 28 w(CR)e(is)g(for)g(CR)g(the)f(T)-6 b(rue)24 b(P)n(ositiv)n(es,)i(FP)p 1359 2601 V 28 w(MR)f(is)g(the)f(MC1PS)h(ratio)h(for)f(F)-6 b(alse)26 b(P)n(ositiv)n(es)f(and)f(TP)p 3094 2601 V 29 w(MR)g(is)h(the)f(MR)h(for)g(T)-6 b(rue)0 2738 y(P)n(ositiv)n(es.)p 549 3779 2802 4 v 547 3916 4 137 v 561 3875 a(Matrix)p 801 3916 V 24 w(Num)n(b)r(er)24 b(of)j(MCS)p 1377 3916 V 24 w(Num)n(b)r(er)d(of)j(MC1PS)p 2043 3916 V 24 w(Num)n(b)r(er)e(of)h (reliable)h(ancestral)g(syn)n(tenies)p 3349 3916 V 549 3919 2802 4 v 547 4056 4 137 v 622 4015 a Fa(M)696 4023 y Fo(1)p 801 4056 V 1072 4015 a Fn(6)p 1377 4056 V 583 w(4)p 2044 4056 V 948 w(6)p 3349 4056 V 549 4060 2802 4 v 547 4197 4 137 v 622 4156 a Fa(M)696 4164 y Fo(2)p 801 4197 V 1033 4156 a Fn(402)p 1377 4197 V 527 w(13)p 2044 4197 V 891 w(166)p 3349 4197 V 549 4200 2802 4 v 547 4337 4 137 v 622 4296 a Fa(M)696 4304 y Fo(3)p 801 4337 V 1014 4296 a Fn(2214)p 1377 4337 V 508 w(90)p 2044 4337 V 891 w(199)p 3349 4337 V 549 4340 2802 4 v 547 4477 4 137 v 622 4436 a Fa(M)696 4444 y Fo(4)p 801 4477 V 996 4436 a Fn(1976)1148 4404 y Fc(\003)p 1377 4477 V 1637 4436 a Fn(483)1751 4404 y Fc(\003)p 2044 4477 V 2623 4436 a Fn(617)2737 4404 y Fc(\003)p 3349 4477 V 549 4481 2802 4 v 547 4618 4 137 v 622 4576 a Fa(M)696 4584 y Fo(5)p 801 4618 V 996 4576 a Fn(1277)1148 4545 y Fc(\003)p 1377 4618 V 1637 4576 a Fn(883)1751 4545 y Fc(\003)p 2044 4618 V 2603 4576 a Fn(1291)2755 4545 y Fc(\003)p 3349 4618 V 549 4621 2802 4 v 0 4684 a Fl(T)-7 b(able)35 b(3.)d Fn(Statistics)h(on)f(MCS)h(and)f(MC1PS)h(on)f(the)g(y) n(easts)g(dataset.)h(Num)n(b)r(ers)e(mark)n(ed)h(b)n(y)f(the)h(sym)n(b) r(ol)3366 4652 y Fc(\003)3434 4684 y Fn(corresp)r(ond)h(to)0 4821 y(partial)27 b(results)f(for)g(in)n(terrupted)f(computations.)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF