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%%BeginDocument: motivate.ps %!PS-Adobe-2.0 EPSF-1.2 %%DocumentFonts: Helvetica-Bold Times-Bold %%Pages: 1 %%BoundingBox: 137 189 471 617 %%EndComments 50 dict begin /arrowHeight 8 def /arrowWidth 4 def /none null def /numGraphicParameters 17 def /stringLimit 65535 def /Begin { save numGraphicParameters dict begin } def /End { end restore } def /SetB { dup type /nulltype eq { pop false /brushRightArrow idef false /brushLeftArrow idef true /brushNone idef } { /brushDashOffset idef /brushDashArray idef 0 ne /brushRightArrow idef 0 ne /brushLeftArrow idef /brushWidth idef false /brushNone idef } ifelse } def /SetCFg { /fgblue idef /fggreen idef /fgred idef } def /SetCBg { /bgblue idef /bggreen idef /bgred idef } def /SetF { /printSize idef /printFont idef } def /SetP { dup type /nulltype eq { pop true /patternNone idef } { dup -1 eq { /patternGrayLevel idef /patternString idef } { /patternGrayLevel idef } ifelse false /patternNone idef } ifelse } def /BSpl { 0 begin storexyn newpath n 1 gt { 0 0 0 0 0 0 1 1 true subspline n 2 gt { 0 0 0 0 1 1 2 2 false subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 2 copy false subspline } if n 2 sub dup n 1 sub dup 2 copy 2 copy false subspline patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Circ { newpath 0 360 arc patternNone not { ifill } if brushNone not { istroke } if } def /CBSpl { 0 begin dup 2 gt { storexyn newpath n 1 sub dup 0 0 1 1 2 2 true subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 0 0 false subspline n 2 sub dup n 1 sub dup 0 0 1 1 false subspline patternNone not { ifill } if brushNone not { istroke } if } { Poly } ifelse end } dup 0 4 dict put def /Elli { 0 begin newpath 4 2 roll translate scale 0 0 1 0 360 arc patternNone not { ifill } if brushNone not { istroke } if end } dup 0 1 dict put def /Line { 0 begin 2 storexyn newpath x 0 get y 0 get moveto x 1 get y 1 get lineto brushNone not { istroke } if 0 0 1 1 leftarrow 0 0 1 1 rightarrow end } dup 0 4 dict put def /MLine { 0 begin storexyn newpath n 1 gt { x 0 get y 0 get moveto 1 1 n 1 sub { /i exch def x i get y i get lineto } for patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Poly { 3 1 roll newpath moveto -1 add { lineto } repeat closepath patternNone not { ifill } if brushNone not { istroke } if } def /Rect { 0 begin /t exch def /r exch def /b exch def /l exch def newpath l b moveto l t lineto r t lineto r b lineto closepath patternNone not { ifill } if brushNone not { istroke } if end } dup 0 4 dict put def /Text { ishow } def /idef { dup where { pop pop pop } { exch def } ifelse } def /ifill { 0 begin gsave patternGrayLevel -1 ne { fgred bgred fgred sub patternGrayLevel mul add fggreen bggreen fggreen sub patternGrayLevel mul add fgblue bgblue fgblue sub patternGrayLevel mul add setrgbcolor eofill } { eoclip originalCTM setmatrix pathbbox /t exch def /r exch def /b exch def /l exch def /w r l sub ceiling cvi def /h t b sub ceiling cvi def /imageByteWidth w 8 div ceiling cvi def /imageHeight h def bgred bggreen bgblue setrgbcolor eofill fgred fggreen fgblue setrgbcolor w 0 gt h 0 gt and { l b translate w h scale w h true [w 0 0 h neg 0 h] { patternproc } imagemask } if } ifelse grestore end } dup 0 8 dict put def /istroke { gsave brushDashOffset -1 eq { [] 0 setdash 1 setgray } { brushDashArray brushDashOffset setdash fgred fggreen fgblue setrgbcolor } ifelse brushWidth setlinewidth originalCTM setmatrix stroke grestore } def /ishow { 0 begin gsave fgred fggreen fgblue setrgbcolor /fontDict printFont findfont printSize scalefont dup setfont def /descender fontDict begin 0 [FontBBox] 1 get FontMatrix end transform exch pop def /vertoffset 0 descender sub printSize sub printFont /Courier ne printFont /Courier-Bold ne and { 1 add } if def { 0 vertoffset moveto show /vertoffset vertoffset printSize sub def } forall grestore end } dup 0 3 dict put def /patternproc { 0 begin /patternByteLength patternString length def /patternHeight patternByteLength 8 mul sqrt cvi def /patternWidth patternHeight def /patternByteWidth patternWidth 8 idiv def /imageByteMaxLength imageByteWidth imageHeight mul stringLimit patternByteWidth sub min def /imageMaxHeight imageByteMaxLength imageByteWidth idiv patternHeight idiv patternHeight mul patternHeight max def /imageHeight imageHeight imageMaxHeight sub store /imageString imageByteWidth imageMaxHeight mul patternByteWidth add string def 0 1 imageMaxHeight 1 sub { /y exch def /patternRow y patternByteWidth mul patternByteLength mod def /patternRowString patternString patternRow patternByteWidth getinterval def /imageRow y imageByteWidth mul def 0 patternByteWidth imageByteWidth 1 sub { /x exch def imageString imageRow x add patternRowString putinterval } for } for imageString end } dup 0 12 dict put def /min { dup 3 2 roll dup 4 3 roll lt { exch } if pop } def /max { dup 3 2 roll dup 4 3 roll gt { exch } if pop } def /arrowhead { 0 begin transform originalCTM itransform /taily exch def /tailx exch def transform originalCTM itransform /tipy exch def /tipx exch def /dy tipy taily sub def /dx tipx tailx sub def /angle dx 0 ne dy 0 ne or { dy dx atan } { 90 } ifelse def gsave originalCTM setmatrix tipx tipy translate angle rotate newpath 0 0 moveto arrowHeight neg arrowWidth 2 div lineto arrowHeight neg arrowWidth 2 div neg lineto closepath patternNone not { originalCTM setmatrix /padtip arrowHeight 2 exp 0.25 arrowWidth 2 exp mul add sqrt brushWidth mul arrowWidth div def /padtail brushWidth 2 div def tipx tipy translate angle rotate padtip 0 translate arrowHeight padtip add padtail add arrowHeight div dup scale arrowheadpath ifill } if brushNone not { originalCTM setmatrix tipx tipy translate angle rotate arrowheadpath istroke } if grestore end } dup 0 9 dict put def /arrowheadpath { newpath 0 0 moveto arrowHeight neg arrowWidth 2 div lineto arrowHeight neg arrowWidth 2 div neg lineto closepath } def /leftarrow { 0 begin y exch get /taily exch def x exch get /tailx exch def y exch get /tipy exch def x exch get /tipx exch def brushLeftArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /rightarrow { 0 begin y exch get /tipy exch def x exch get /tipx exch def y exch get /taily exch def x exch get /tailx exch def brushRightArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /midpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 x1 add 2 div y0 y1 add 2 div end } dup 0 4 dict put def /thirdpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 2 mul x1 add 3 div y0 2 mul y1 add 3 div end } dup 0 4 dict put def /subspline { 0 begin /movetoNeeded exch def y exch get /y3 exch def x exch get /x3 exch def y exch get /y2 exch def x exch get /x2 exch def y exch get /y1 exch def x exch get /x1 exch def y exch get /y0 exch def x exch get /x0 exch def x1 y1 x2 y2 thirdpoint /p1y exch def /p1x exch def x2 y2 x1 y1 thirdpoint /p2y exch def /p2x exch def x1 y1 x0 y0 thirdpoint p1x p1y midpoint /p0y exch def /p0x exch def x2 y2 x3 y3 thirdpoint p2x p2y midpoint /p3y exch def /p3x exch def movetoNeeded { p0x p0y moveto } if p1x p1y p2x p2y p3x p3y curveto end } dup 0 17 dict put def /storexyn { /n exch def /y n array def /x n array def n 1 sub -1 0 { /i exch def y i 3 2 roll put x i 3 2 roll put } for } def %%EndProlog %I Idraw 7 Grid 2 %%Page: 1 1 Begin %I b u %I cfg u %I cbg u %I f u %I p u %I t [ 0.8 0 0 0.8 0 0 ] concat /originalCTM matrix currentmatrix def Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 160 -17 ] concat %I 31 480 161 560 Rect End Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 155 -12 ] concat %I 71 500 121 530 Rect End Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 409.249 -17 ] concat %I 31 480 161 560 Rect End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 246 508 ] concat %I [ (B) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 196 538 ] concat %I [ (A) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 553 535 ] concat %I [ (C) ] Text End Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 414 8 ] concat %I 71 500 121 530 Rect End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 505 528 ] concat %I [ (D) ] Text End Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 414 -32 ] concat %I 71 500 121 530 Rect End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 505 488 ] concat %I [ (E) ] Text End Begin %I Line %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 0.843533 0 0 1 176.792 103 ] concat %I 172 440 291 440 Line End Begin %I Line %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 0.847026 0 0 1 176.199 84 ] concat %I 172 440 290 440 Line End Begin %I Line %I b 65535 3 0 0 [] 0 SetB %I cfg White 1 1 1 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.58838 150 -155.193 ] concat %I 171 428 171 439 Line End Begin %I Line %I b 65535 3 0 0 [] 0 SetB %I cfg White 1 1 1 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 10 0 0 1.40818 -1269.75 -76.527 ] concat %I 171 428 171 440 Line End Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 142 411 ] concat %I 34 35 443 160 Rect End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 181 567 ] concat %I [ (S) ] Text End Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 160 180 ] concat %I 31 480 161 560 Rect End Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 155 185 ] concat %I 71 500 121 530 Rect End Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 409 180 ] concat %I 31 480 161 560 Rect End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 155 180 ] concat %I 121 525 325 540 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 246 705 ] concat %I [ (B) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 196 735 ] concat %I [ (A) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 554 733 ] concat %I [ (C) ] Text End Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 414 205 ] concat %I 71 500 121 530 Rect End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 505 725 ] concat %I [ (D) ] Text End Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 414 165 ] concat %I 71 500 121 530 Rect End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 505 685 ] concat %I [ (E) ] Text End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 155 150 ] concat %I 121 545 325 530 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-helvetica-bold-r-*-140-* /Helvetica-Bold 14 SetF %I t [ 1 0 0 1 183 761 ] concat %I [ (S) ] Text End Begin %I Rect %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 143 608 ] concat %I 34 35 443 160 Rect End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 133 -197 ] concat %I 212 566 4 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 240 -264 ] concat %I 212 566 4 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 31 -282 ] concat %I 212 566 4 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 31 -235 ] concat %I 212 566 4 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 265 -230 ] concat %I 212 566 4 3 Elli End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 341 387 ] concat %I [ (S) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 222 338 ] concat %I [ (A) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 222 285 ] concat %I [ (B) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 486 343 ] concat %I [ (C) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 458 304 ] concat %I [ (D) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 538 285 ] concat %I [ (E) ] Text End Begin %I Line %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 123 -225 ] concat %I 218 593 123 560 Line End Begin %I Line %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 121 -228 ] concat %I 121 555 121 515 Line End Begin %I Line %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 123 -225 ] concat %I 226 595 355 560 Line End Begin %I Line %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 123 -225 ] concat %I 355 560 330 528 Line End Begin %I Line %I b 65535 3 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg none SetP %I p n %I t [ 1 0 0 1 125 -229 ] concat %I 355 563 408 512 Line End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 123 -225 ] concat %I 123 558 348 558 Line End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 125 -274 ] concat %I 123 558 323 572 Line End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 129 -262 ] concat %I 115 542 399 542 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 321 -285 ] concat %I 212 566 4 3 Elli End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f 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sub ceiling cvi def /imageByteWidth w 8 div ceiling cvi def /imageHeight h def bgred bggreen bgblue setrgbcolor eofill fgred fggreen fgblue setrgbcolor w 0 gt h 0 gt and { l b translate w h scale w h true [w 0 0 h neg 0 h] { patternproc } imagemask } if } ifelse grestore end } dup 0 8 dict put def /istroke { gsave brushDashOffset -1 eq { [] 0 setdash 1 setgray } { brushDashArray brushDashOffset setdash fgred fggreen fgblue setrgbcolor } ifelse brushWidth setlinewidth originalCTM setmatrix stroke grestore } def /ishow { 0 begin gsave fgred fggreen fgblue setrgbcolor /fontDict printFont findfont printSize scalefont dup setfont def /descender fontDict begin 0 [FontBBox] 1 get FontMatrix end transform exch pop def /vertoffset 0 descender sub printSize sub printFont /Courier ne printFont /Courier-Bold ne and { 1 add } if def { 0 vertoffset moveto show /vertoffset vertoffset printSize sub def } forall grestore end } dup 0 3 dict put def /patternproc { 0 begin /patternByteLength patternString length def /patternHeight patternByteLength 8 mul sqrt cvi def /patternWidth patternHeight def /patternByteWidth patternWidth 8 idiv def /imageByteMaxLength imageByteWidth imageHeight mul stringLimit patternByteWidth sub min def /imageMaxHeight imageByteMaxLength imageByteWidth idiv patternHeight idiv patternHeight mul patternHeight max def /imageHeight imageHeight imageMaxHeight sub store /imageString imageByteWidth imageMaxHeight mul patternByteWidth add string def 0 1 imageMaxHeight 1 sub { /y exch def /patternRow y patternByteWidth mul patternByteLength mod def /patternRowString patternString patternRow patternByteWidth getinterval def /imageRow y imageByteWidth mul def 0 patternByteWidth imageByteWidth 1 sub { /x exch def imageString imageRow x add patternRowString putinterval } for } for imageString end } dup 0 12 dict put def /min { dup 3 2 roll dup 4 3 roll lt { exch } if pop } def /max { dup 3 2 roll dup 4 3 roll gt { exch } if pop } def /arrowhead { 0 begin transform 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get /taily exch def x exch get /tailx exch def y exch get /tipy exch def x exch get /tipx exch def brushLeftArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /rightarrow { 0 begin y exch get /tipy exch def x exch get /tipx exch def y exch get /taily exch def x exch get /tailx exch def brushRightArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /midpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 x1 add 2 div y0 y1 add 2 div end } dup 0 4 dict put def /thirdpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 2 mul x1 add 3 div y0 2 mul y1 add 3 div end } dup 0 4 dict put def /subspline { 0 begin /movetoNeeded exch def y exch get /y3 exch def x exch get /x3 exch def y exch get /y2 exch def x exch get /x2 exch def y exch get /y1 exch def x exch get /x1 exch def y exch get /y0 exch def x exch get /x0 exch def x1 y1 x2 y2 thirdpoint /p1y exch def /p1x exch def x2 y2 x1 y1 thirdpoint /p2y exch def /p2x exch 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subspline n 2 gt { 0 0 0 0 1 1 2 2 false subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 2 copy false subspline } if n 2 sub dup n 1 sub dup 2 copy 2 copy false subspline patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Circ { newpath 0 360 arc patternNone not { ifill } if brushNone not { istroke } if } def /CBSpl { 0 begin dup 2 gt { storexyn newpath n 1 sub dup 0 0 1 1 2 2 true subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 0 0 false subspline n 2 sub dup n 1 sub dup 0 0 1 1 false subspline patternNone not { ifill } if brushNone not { istroke } if } { Poly } ifelse end } dup 0 4 dict put def /Elli { 0 begin newpath 4 2 roll translate scale 0 0 1 0 360 arc patternNone not { ifill } if brushNone not { istroke } if end } dup 0 1 dict put def /Line { 0 begin 2 storexyn newpath x 0 get y 0 get moveto x 1 get y 1 get lineto brushNone not { istroke } if 0 0 1 1 leftarrow 0 0 1 1 rightarrow end } dup 0 4 dict put def /MLine { 0 begin storexyn newpath n 1 gt { x 0 get y 0 get moveto 1 1 n 1 sub { /i exch def x i get y i get lineto } for patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Poly { 3 1 roll newpath moveto -1 add { lineto } repeat closepath patternNone not { ifill } if brushNone not { istroke } if } def /Rect { 0 begin /t exch def /r exch def /b exch def /l exch def newpath l b moveto l t lineto r t lineto r b lineto closepath patternNone not { ifill } if brushNone not { istroke } if end } dup 0 4 dict put def /Text { ishow } def /idef { dup where { pop pop pop } { exch def } ifelse } def /ifill { 0 begin gsave patternGrayLevel -1 ne { fgred bgred fgred sub patternGrayLevel mul add fggreen bggreen fggreen sub patternGrayLevel mul add fgblue bgblue fgblue sub patternGrayLevel mul add setrgbcolor eofill } { eoclip originalCTM setmatrix pathbbox /t exch def /r exch def /b exch def /l exch def /w r l sub ceiling cvi def /h t b sub ceiling cvi def /imageByteWidth w 8 div ceiling cvi def /imageHeight h def bgred bggreen bgblue setrgbcolor eofill fgred fggreen fgblue setrgbcolor w 0 gt h 0 gt and { l b translate w h scale w h true [w 0 0 h neg 0 h] { patternproc } imagemask } if } ifelse grestore end } dup 0 8 dict put def /istroke { gsave brushDashOffset -1 eq { [] 0 setdash 1 setgray } { brushDashArray brushDashOffset setdash fgred fggreen fgblue setrgbcolor } ifelse brushWidth setlinewidth originalCTM setmatrix stroke grestore } def /ishow { 0 begin gsave fgred fggreen fgblue setrgbcolor /fontDict printFont findfont printSize scalefont dup setfont def /descender fontDict begin 0 [FontBBox] 1 get FontMatrix end transform exch pop def /vertoffset 0 descender sub printSize sub printFont /Courier ne printFont /Courier-Bold ne and { 1 add } if def { 0 vertoffset moveto show /vertoffset vertoffset printSize sub def } forall grestore end } dup 0 3 dict put def /patternproc { 0 begin /patternByteLength patternString length def /patternHeight patternByteLength 8 mul sqrt cvi def /patternWidth patternHeight def /patternByteWidth patternWidth 8 idiv def /imageByteMaxLength imageByteWidth imageHeight mul stringLimit patternByteWidth sub min def /imageMaxHeight imageByteMaxLength imageByteWidth idiv patternHeight idiv patternHeight mul patternHeight max def /imageHeight imageHeight imageMaxHeight sub store /imageString imageByteWidth imageMaxHeight mul patternByteWidth add string def 0 1 imageMaxHeight 1 sub { /y exch def /patternRow y patternByteWidth mul patternByteLength mod def /patternRowString patternString patternRow patternByteWidth getinterval def /imageRow y imageByteWidth mul def 0 patternByteWidth imageByteWidth 1 sub { /x exch def imageString imageRow x add patternRowString putinterval } for } for imageString end } dup 0 12 dict put def /min { dup 3 2 roll dup 4 3 roll lt { exch } if pop } def /max { dup 3 2 roll dup 4 3 roll gt { exch } if pop } def /arrowhead { 0 begin transform originalCTM itransform /taily exch def /tailx exch def transform originalCTM itransform /tipy exch def /tipx exch def /dy tipy taily sub def /dx tipx tailx sub def /angle dx 0 ne dy 0 ne or { dy dx atan } { 90 } ifelse def gsave originalCTM setmatrix tipx tipy translate angle rotate newpath 0 0 moveto arrowHeight neg arrowWidth 2 div lineto arrowHeight neg arrowWidth 2 div neg lineto closepath patternNone not { originalCTM setmatrix /padtip arrowHeight 2 exp 0.25 arrowWidth 2 exp mul add sqrt brushWidth mul arrowWidth div def /padtail brushWidth 2 div def tipx tipy translate angle rotate padtip 0 translate arrowHeight padtip add padtail add arrowHeight div dup scale arrowheadpath ifill } if brushNone not { originalCTM setmatrix tipx tipy translate angle rotate arrowheadpath istroke } if grestore end } dup 0 9 dict put def /arrowheadpath { newpath 0 0 moveto arrowHeight neg arrowWidth 2 div lineto arrowHeight neg arrowWidth 2 div neg lineto closepath } def /leftarrow { 0 begin y exch get /taily exch def x exch get /tailx exch def y exch get /tipy exch def x exch get /tipx exch def brushLeftArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /rightarrow { 0 begin y exch get /tipy exch def x exch get /tipx exch def y exch get /taily exch def x exch get /tailx exch def brushRightArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /midpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 x1 add 2 div y0 y1 add 2 div end } dup 0 4 dict put def /thirdpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 2 mul x1 add 3 div y0 2 mul y1 add 3 div end } dup 0 4 dict put def /subspline { 0 begin /movetoNeeded exch def y exch get /y3 exch def x exch get /x3 exch def y exch get /y2 exch def x exch get /x2 exch def y exch get /y1 exch def x exch get /x1 exch def y exch get /y0 exch def x exch get /x0 exch def x1 y1 x2 y2 thirdpoint /p1y exch def /p1x exch def x2 y2 x1 y1 thirdpoint /p2y exch def /p2x exch def x1 y1 x0 y0 thirdpoint p1x p1y midpoint /p0y exch def /p0x exch def x2 y2 x3 y3 thirdpoint p2x p2y midpoint /p3y exch def /p3x exch def movetoNeeded { p0x p0y moveto } if p1x p1y p2x p2y p3x p3y curveto end } dup 0 17 dict put def /storexyn { /n exch def /y n array def /x n array def n 1 sub -1 0 { /i exch def y i 3 2 roll put x i 3 2 roll put } for } def %%EndProlog %I Idraw 7 Grid 8 %%Page: 1 1 Begin %I b u %I cfg u %I cbg u %I f u %I p u %I t [ 0.8 0 0 0.8 0 0 ] concat /originalCTM matrix currentmatrix def Begin %I Pict %I b u %I cfg u %I cbg u %I f u %I p u %I t [ 1 0 0 1 -153 -66 ] concat Begin %I Line %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 300 113.726 ] concat %I 69 558 37 515 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 330 259 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 357 206 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 331 110.726 ] concat %I 38 560 64 520 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 297 204 ] concat %I 39 512 3 3 Elli End End %I eop Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 190 692 ] concat %I [ (C) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 234 691 ] concat %I [ (C) ] Text End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 13 267 ] concat %I 175 384 223 384 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 214 720 ] concat %I [ (p) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 180 647 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 241 647 ] concat %I [ (y) ] Text End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 337 192 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 267 46.726 ] concat %I 69 558 37 515 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 298 193 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 364 140 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 338 38.726 ] concat %I 38 560 64 520 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 263 139 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 0.592992 0 0 1 238.077 321 ] concat %I 175 384 223 384 Line End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1.80625 0 0 1 -7.7101 268 ] concat %I 175 384 223 384 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 309 692 ] concat %I [ (C) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 391 691 ] concat %I [ (C) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 332 721 ] concat %I [ (p) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 375 719 ] concat %I [ (q) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 299 648 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 401 649 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 352 720 ] concat %I [ (T) ] Text End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 503 193 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 409 46.726 ] concat %I 69 558 37 515 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 440 193 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 405 139 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 309 322 ] concat %I 175 384 223 384 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 454 694 ] concat %I [ (C) ] Text End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 300 266 ] concat %I 147 384 240 437 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 474 720 ] concat %I [ (p) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 541 722 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 439 648 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 499 720 ] concat %I [ (T) ] Text End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 598 195 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 536 195 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 625 143 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 599 41.726 ] concat %I 38 560 64 520 Line End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 405 323 ] concat %I 175 384 223 384 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 651 694 ] concat %I [ (C) ] Text End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 402 299 ] concat %I 174 404 257 355 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 572 722 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 634 723 ] concat %I [ (q) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 662 652 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 600 722 ] concat %I [ (T) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 103 679 ] concat %I [ (T ) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-medium-r-*-120-* /Times-Roman 12 SetF %I t [ 1 0 0 1 110 670 ] concat %I [ (A) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f -adobe-helvetica-medium-r-normal--34-240-100-100-p-176-iso8859-1 /helvetica 34 SetF %I t [ 1 0 0 1 133 690 ] concat %I [ (=) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f 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b(Pro)q(duction)21 b(5)f(simply)f(mak)o(es)f(non-terminal)h(con)o(tainmen)o(t)f(edges)0 2431 y(terminal.)30 b(W)l(e)19 b(need)g(t)o(w)o(o)h(kinds)g(of)g (non-terminals)e(for)i(con)o(tainmen)o(t)e(edges)i(b)q(ecause)g(ill-formed)0 2491 y(tub)q(e)14 b(graphs)g(can)g(b)q(e)f(generated)g(b)o(y)g(a)h(grammar)e (that)h(allo)o(ws)h(con)o(tainmen)o(t)d(edges)i(to)h(b)q(e)g(expanded)0 2551 y(after)i(they)g(ha)o(v)o(e)f(b)q(een)i(connected)e(to)i(tub)q(e)f (edges.)p 0 2595 765 2 v 56 2625 a Fm(6)75 2640 y Fl(Since)i(w)o(e)g(are)f (using)h(edge)g(replacemen)o(t)g(graph)g(grammars,)f(grammar)g Fd(G)g Fl(cannot)g(generate)i(a)e(single)h(v)o(ertex)0 2690 y(tub)q(e)d(graph.)944 2828 y Fp(7)p eop %%Page: 8 8 8 7 bop 248 58 a 22376157 18646798 5854576 7630684 36179968 43284398 startTexFig 248 58 a %%BeginDocument: grammar.ps %!PS-Adobe-2.0 EPSF-1.2 %%DocumentFonts: helvetica Times-Bold Courier %%Pages: 1 %%BoundingBox: 89 116 550 658 %%EndComments 50 dict begin /arrowHeight 8 def /arrowWidth 4 def /none null def /numGraphicParameters 17 def /stringLimit 65535 def /Begin { save numGraphicParameters dict begin } def /End { end restore } def /SetB { dup type /nulltype eq { pop false /brushRightArrow idef false /brushLeftArrow idef true /brushNone idef } { /brushDashOffset idef /brushDashArray idef 0 ne /brushRightArrow idef 0 ne /brushLeftArrow idef /brushWidth idef false /brushNone idef } ifelse } def /SetCFg { /fgblue idef /fggreen idef /fgred idef } def /SetCBg { /bgblue idef /bggreen idef /bgred idef } def /SetF { /printSize idef /printFont idef } def /SetP { dup type /nulltype eq { pop true /patternNone idef } { dup -1 eq { /patternGrayLevel idef /patternString idef } { /patternGrayLevel idef } ifelse false /patternNone idef } ifelse } def /BSpl { 0 begin storexyn newpath n 1 gt { 0 0 0 0 0 0 1 1 true subspline n 2 gt { 0 0 0 0 1 1 2 2 false subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 2 copy false subspline } if n 2 sub dup n 1 sub dup 2 copy 2 copy false subspline patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Circ { newpath 0 360 arc patternNone not { ifill } if brushNone not { istroke } if } def /CBSpl { 0 begin dup 2 gt { storexyn newpath n 1 sub dup 0 0 1 1 2 2 true subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 0 0 false subspline n 2 sub dup n 1 sub dup 0 0 1 1 false subspline patternNone not { ifill } if brushNone not { istroke } if } { Poly } ifelse end } dup 0 4 dict put def /Elli { 0 begin newpath 4 2 roll translate scale 0 0 1 0 360 arc patternNone not { ifill } if brushNone not { istroke } if end } dup 0 1 dict put def /Line { 0 begin 2 storexyn newpath x 0 get y 0 get moveto x 1 get y 1 get lineto brushNone not { istroke } if 0 0 1 1 leftarrow 0 0 1 1 rightarrow end } dup 0 4 dict put def /MLine { 0 begin storexyn newpath n 1 gt { x 0 get y 0 get moveto 1 1 n 1 sub { /i exch def x i get y i get lineto } for patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Poly { 3 1 roll newpath moveto -1 add { lineto } repeat closepath patternNone not { ifill } if brushNone not { istroke } if } def /Rect { 0 begin /t exch def /r exch def /b exch def /l exch def newpath l b moveto l t lineto r t lineto r b lineto closepath patternNone not { ifill } if brushNone not { istroke } if end } dup 0 4 dict put def /Text { ishow } def /idef { dup where { pop pop pop } { exch def } ifelse } def /ifill { 0 begin gsave patternGrayLevel -1 ne { fgred bgred fgred sub patternGrayLevel mul add fggreen bggreen fggreen sub patternGrayLevel mul add fgblue bgblue fgblue sub patternGrayLevel mul add setrgbcolor eofill } { eoclip originalCTM setmatrix pathbbox /t exch def /r exch def /b exch def /l exch def /w r l sub ceiling cvi def /h t b sub ceiling cvi def /imageByteWidth w 8 div ceiling cvi def /imageHeight h def bgred bggreen bgblue setrgbcolor eofill fgred fggreen fgblue setrgbcolor w 0 gt h 0 gt and { l b translate w h scale w h true [w 0 0 h neg 0 h] { patternproc } imagemask } if } ifelse grestore end } dup 0 8 dict put def /istroke { gsave brushDashOffset -1 eq { [] 0 setdash 1 setgray } { brushDashArray brushDashOffset setdash fgred fggreen fgblue setrgbcolor } ifelse brushWidth setlinewidth originalCTM setmatrix stroke grestore } def /ishow { 0 begin gsave fgred fggreen fgblue setrgbcolor /fontDict printFont findfont printSize scalefont dup setfont def /descender fontDict begin 0 [FontBBox] 1 get FontMatrix end transform exch pop def /vertoffset 0 descender sub printSize sub printFont /Courier ne printFont /Courier-Bold ne and { 1 add } if def { 0 vertoffset moveto show /vertoffset vertoffset printSize sub def } forall grestore end } dup 0 3 dict put def /patternproc { 0 begin /patternByteLength patternString length def /patternHeight patternByteLength 8 mul sqrt cvi def /patternWidth patternHeight def /patternByteWidth patternWidth 8 idiv def /imageByteMaxLength imageByteWidth imageHeight mul stringLimit patternByteWidth sub min def /imageMaxHeight imageByteMaxLength imageByteWidth idiv patternHeight idiv patternHeight mul patternHeight max def /imageHeight imageHeight imageMaxHeight sub store /imageString imageByteWidth imageMaxHeight mul patternByteWidth add string def 0 1 imageMaxHeight 1 sub { /y exch def /patternRow y patternByteWidth mul patternByteLength mod def /patternRowString patternString patternRow patternByteWidth getinterval def /imageRow y imageByteWidth mul def 0 patternByteWidth imageByteWidth 1 sub { /x exch def imageString imageRow x add patternRowString putinterval } for } for imageString end } dup 0 12 dict put def /min { dup 3 2 roll dup 4 3 roll lt { exch } if pop } def /max { dup 3 2 roll dup 4 3 roll gt { exch } if pop } def /arrowhead { 0 begin transform originalCTM itransform /taily exch def /tailx exch def transform originalCTM itransform /tipy exch def /tipx exch def /dy tipy taily sub def /dx tipx tailx sub def /angle dx 0 ne dy 0 ne or { dy dx atan } { 90 } ifelse def gsave originalCTM setmatrix tipx tipy translate angle rotate newpath 0 0 moveto arrowHeight neg arrowWidth 2 div lineto arrowHeight neg arrowWidth 2 div neg lineto closepath patternNone not { originalCTM setmatrix /padtip arrowHeight 2 exp 0.25 arrowWidth 2 exp mul add sqrt brushWidth mul arrowWidth div def /padtail brushWidth 2 div def tipx tipy translate angle rotate padtip 0 translate arrowHeight padtip add padtail add arrowHeight div dup scale arrowheadpath ifill } if brushNone not { originalCTM setmatrix tipx tipy translate angle rotate arrowheadpath istroke } if grestore end } dup 0 9 dict put def /arrowheadpath { newpath 0 0 moveto arrowHeight neg arrowWidth 2 div lineto arrowHeight neg arrowWidth 2 div neg lineto closepath } def /leftarrow { 0 begin y exch get /taily exch def x exch get /tailx exch def y exch get /tipy exch def x exch get /tipx exch def brushLeftArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /rightarrow { 0 begin y exch get /tipy exch def x exch get /tipx exch def y exch get /taily exch def x exch get /tailx exch def brushRightArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /midpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 x1 add 2 div y0 y1 add 2 div end } dup 0 4 dict put def /thirdpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 2 mul x1 add 3 div y0 2 mul y1 add 3 div end } dup 0 4 dict put def /subspline { 0 begin /movetoNeeded exch def y exch get /y3 exch def x exch get /x3 exch def y exch get /y2 exch def x exch get /x2 exch def y exch get /y1 exch def x exch get /x1 exch def y exch get /y0 exch def x exch get /x0 exch def x1 y1 x2 y2 thirdpoint /p1y exch def /p1x exch def x2 y2 x1 y1 thirdpoint /p2y exch def /p2x exch def x1 y1 x0 y0 thirdpoint p1x p1y midpoint /p0y exch def /p0x exch def x2 y2 x3 y3 thirdpoint p2x p2y midpoint /p3y exch def /p3x exch def movetoNeeded { p0x p0y moveto } if p1x p1y p2x p2y p3x p3y curveto end } dup 0 17 dict put def /storexyn { /n exch def /y n array def /x n array def n 1 sub -1 0 { /i exch def y i 3 2 roll put x i 3 2 roll put } for } def %%EndProlog %I Idraw 7 Grid 8 %%Page: 1 1 Begin %I b u %I cfg u %I cbg u %I f u %I p u %I t [ 0.8 0 0 0.8 0 0 ] concat /originalCTM matrix currentmatrix def Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 0.592992 0 0 1 130.077 120 ] concat %I 175 384 223 384 Line End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 239 167 ] concat %I 81 560 112 560 Line End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 239 157 ] concat %I 81 560 112 560 Line End Begin %I MLine %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 238 166 ] concat %I 3 106 571 120 557 106 540 3 MLine End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.34091 557 5.1967 ] concat %I 40 560 40 521 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 558 186 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 558 246 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 264 199 ] concat %I 216 573 216 476 Line End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 337 200 ] concat %I 216 573 216 476 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f -adobe-helvetica-medium-r-normal--34-240-100-100-p-176-iso8859-1 /helvetica 34 SetF %I t [ 1 0 0 1 123 744 ] concat %I [ (P0\)) ] Text End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 195 88.726 ] concat %I 40 560 40 521 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 196 183 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 196 243 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 358 91.726 ] concat %I 69 558 37 515 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 388 239 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 418 184 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 389 88.726 ] concat %I 38 560 64 520 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 351 182 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 479 131.726 ] concat %I 40 560 40 521 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 480 227 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 480 287 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 479 73.7256 ] concat %I 40 560 40 521 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 480 168 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 170 -41.274 ] concat %I 69 558 37 515 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 200 104 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 232 49 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 202 -44.274 ] concat %I 38 560 64 520 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 164 47 ] concat %I 39 512 3 3 Elli End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f -adobe-helvetica-medium-r-normal--34-240-100-100-p-176-iso8859-1 /helvetica 34 SetF %I t [ 1 0 0 1 121 597 ] concat %I [ (P1\)) ] Text End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 238 35 ] concat %I 81 560 112 560 Line End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 238 25 ] concat %I 81 560 112 560 Line End Begin %I MLine %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 237 34 ] concat %I 3 106 571 120 557 106 540 3 MLine End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 379 -36.274 ] concat %I 69 558 37 515 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 409 109 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 440 52 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 412 -41.274 ] concat %I 38 560 64 520 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 374 54 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1.05455 0 0 1 234.673 180 ] concat %I 175 384 223 384 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f -adobe-helvetica-medium-r-normal--34-240-100-100-p-176-iso8859-1 /helvetica 34 SetF %I t [ 1 0 0 1 116 488 ] concat %I [ (P2\)) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f -adobe-helvetica-medium-r-normal--34-240-100-100-p-176-iso8859-1 /helvetica 34 SetF %I t [ 1 0 0 1 116 402 ] concat %I [ (P3\)) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f -adobe-helvetica-medium-r-normal--34-240-100-100-p-176-iso8859-1 /helvetica 34 SetF %I t [ 1 0 0 1 119 316 ] concat %I [ (P4\)) ] Text End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 238 -79 ] concat %I 81 560 112 560 Line End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 238 -89 ] concat %I 81 560 112 560 Line End Begin %I MLine %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 237 -80 ] concat %I 3 106 571 120 557 106 540 3 MLine End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 244 -261 ] concat %I 81 560 112 560 Line End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 244 -271 ] concat %I 81 560 112 560 Line End Begin %I MLine %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 243 -262 ] concat %I 3 106 571 120 557 106 540 3 MLine End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 232 -10 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 160 -155.274 ] concat %I 69 558 37 515 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 191 -9 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 264 -67 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 236 -163.274 ] concat %I 38 560 64 520 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 153 -66 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 427 -9 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 351 -154.274 ] concat %I 69 558 37 515 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 382 -8 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 458 -64 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 430 -160.274 ] concat %I 38 560 64 520 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 347 -62 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 0.660763 0 0 1 309.68 120 ] concat %I 175 384 223 384 Line End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1.88311 0 0 1 63.0221 64 ] concat %I 175 384 223 384 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 420 670 ] concat %I [ (a\)) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 513 668 ] concat %I [ (b\)) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 592 670 ] concat %I [ (c\)) ] Text End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 238 -155 ] concat %I 81 560 112 560 Line End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 238 -165 ] concat %I 81 560 112 560 Line End Begin %I MLine %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 237 -156 ] concat %I 3 106 571 120 557 106 540 3 MLine End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 258 -108 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 161 -252.274 ] concat %I 69 558 37 515 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 190 -108 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 155 -163 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 59 21 ] concat %I 175 384 223 384 Line End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 354 -244.274 ] concat %I 69 558 37 515 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 385 -98 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 350 -152 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1.1422 0 0 1 229.648 31 ] concat %I 175 384 223 384 Line End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 245 -25 ] concat %I 147 384 240 437 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 163 -200 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 252 -252 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 226 -353.274 ] concat %I 38 560 64 520 Line End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 32 -72 ] concat %I 175 384 223 384 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 348 -201 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 437 -253.04 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 411 -354.274 ] concat %I 38 560 64 520 Line End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 217 -73 ] concat %I 175 384 223 384 Line End Begin %I Line %I b 13107 3 0 1 [2 2 2 2 2 2 2 2] 15 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 214 -97 ] concat %I 174 404 257 355 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 232 771 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 231 690 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 423 768 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 390 688 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 451 688 ] concat %I [ (z) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 518 818 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 524 742 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 525 683 ] concat %I [ (z) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 594 775 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 594 692 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 236 632 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 446 636 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 201 556 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 266 556 ] concat %I [ (z) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 410 564 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 477 558 ] concat %I [ (z) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 227 520 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 416 520 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 226 418 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 420 427 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 200 328 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 384 326 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 268 519 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 459 518 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 290 418 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 500 424 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 263 327 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 446 325 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 189 441 ] concat %I [ (z) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 382 447 ] concat %I [ (z) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 189 343 ] concat %I [ (z) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 385 357 ] concat %I [ (z) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 291 249 ] concat %I [ (z) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 484 249 ] concat %I [ (z) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 302 442 ] concat %I [ (w) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 0.714286 0 0 1 495 442 ] concat %I [ (w) ] Text End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 452 -95 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 225 -200 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 410 -201 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 1 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.34091 638 4.1967 ] concat %I 40 560 40 521 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 639 187 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 639 247 ] concat %I 39 512 3 3 Elli End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* /Times-Bold 14 SetF %I t [ 1 0 0 1 673 671 ] concat %I [ (d\)) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 675 776 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 675 693 ] concat %I [ (y) ] Text End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 416 202 ] concat %I 216 573 216 476 Line End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 222 740 ] concat %I [ (S) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 402 735 ] concat %I [ (S) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 445 736 ] concat %I [ (S) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 508 783 ] concat %I [ (S) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 506 722 ] concat %I [ (S) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 587 737 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 213 603 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 259 602 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 418 605 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 467 606 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 205 491 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 290 489 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 204 390 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 281 293 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 486 487 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 393 489 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 401 403 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 467 293 ] concat %I [ (R) ] Text End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 243 -362 ] concat %I 81 560 112 560 Line End Begin %I Line %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 243 -372 ] concat %I 81 560 112 560 Line End Begin %I MLine %I b 65535 1 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 242 -363 ] concat %I 3 106 571 120 557 106 540 3 MLine End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f -adobe-helvetica-medium-r-normal--34-240-100-100-p-176-iso8859-1 /helvetica 34 SetF %I t [ 1 0 0 1 117 216 ] concat %I [ (P5\)) ] Text End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 178 -441.274 ] concat %I 40 560 40 521 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 179 -347 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 179 -287 ] concat %I 39 512 3 3 Elli End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 214 160 ] concat %I [ (y) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 205 210 ] concat %I [ (R) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 215 243 ] concat %I [ (x) ] Text End Begin %I Line %I b 65535 1 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.34091 382 -530.803 ] concat %I 40 560 40 521 Line End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 383 -348 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 383 -288 ] concat %I 39 512 3 3 Elli End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 419 241 ] concat %I [ (x) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-courier-medium-r-*-100-* /Courier 10 SetF %I t [ 1 0 0 1 419 158 ] concat %I [ (y) ] Text End End %I eop showpage %%Trailer end %%EndDocument endTexFig 0 1394 a Fp(Figure)22 b(4:)34 b Fk(Con)n(text-Sensitiv)n(e)24 b(Grammar)f Fj(G)k Fk(for)e(W)-5 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Fo(WF\(TG\))g Fi(,)h Fo(TG)f Fi(2)h Fo(L\(G\))p Fp(.)e(Underlying)h(these)h(pro)q(ofs)h(is) e(the)h(assumption)0 1940 y(of)h(the)f(canonical)g(order)g(of)h(construction) f(dictated)g(b)o(y)f(the)h(graph)i(grammar.)4 2060 y Fk(Theorem)f(1:)k(An)n (y)e(W)-5 b(ell-F)g(ormed)16 b(T)-5 b(ub)r(e)19 b(Graph)g(is)f(in)g(L\(G\))0 2142 y Fp(W)l(e)f(will)f(pro)o(v)o(e)h(that)h(an)o(y)f(w)o(ell-formed)e(tub)q (e)i(graph)i Fj(T)7 b(G)p Fp(=\()p Fj(V)k Fp(,)p Fj(C)t Fp(,)p Fj(T)c Fp(\))15 b(can)i(b)q(e)h(generated)f(using)h(the)0 2202 y(con)o(text-sensitiv)o(e)c(grammar)h Fj(G)p Fp(:)852 2288 y Fj(\034)22 b Fi(\022)16 b Fj(L)p Fp(\()p Fj(G)p Fp(\))73 2375 y(Let)i Fj(d)p Fp(\()p Fj(v)r Fp(,)p Fj(R)p Fp(\))f(b)q(e)g(the)g (out-degree)h(of)g(v)o(ertex)d Fj(v)r Fi(2)p Fj(V)29 b Fp(with)17 b(resp)q(ect)g(to)g(relation)g Fj(R)p Fp(;)h(hence,)f Fj(d)p Fp(\()p Fj(v)r Fp(,)p Fj(C)t Fp(\))0 2435 y(is)i(the)g(out-degree)g(of)g(v)o (ertex)f Fj(v)i Fp(with)f(resp)q(ect)g(to)g(the)g(con)o(tainmen)o(t)e (relation)i(\()p Fj(C)t Fp(\))f(and)i Fj(d)p Fp(\()p Fj(v)r Fp(,)p Fj(T)7 b Fp(\))18 b(is)0 2495 y(the)e(out-degree)g(of)h(v)o(ertex)e Fj(v)i Fp(with)f(resp)q(ect)g(to)h(the)f(tub)q(e)g(relation)g(\()p Fj(T)7 b Fp(\).)4 2616 y Fk(De\014nition)18 b(6:)j(Out-Degree)c(of)i(a)g(V)-5 b(ertex)98 2702 y Fj(d)p Fp(\()p Fj(v)r Fp(,)p Fj(R)p Fp(\))16 b Fi(\021)g(jf)p Fp(\()p Fj(v)r Fp(,y\))e Fi(j)i Fj(v)r(R)p Fp(y)p Fi(gj)944 2828 y Fp(8)p eop %%Page: 9 9 9 8 bop 248 58 a 22376157 22376157 8683192 17234821 24799723 42166108 startTexFig 248 58 a %%BeginDocument: deriv.ps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: idraw %%DocumentFonts: Times-Bold Courier %%Pages: 1 %%BoundingBox: 132 262 377 641 %%EndComments %%BeginIdrawPrologue /arrowhead { 0 begin transform originalCTM itransform /taily exch def /tailx exch def transform originalCTM itransform /tipy exch def /tipx exch def /dy tipy taily sub def /dx tipx tailx sub def /angle dx 0 ne dy 0 ne or { dy dx atan } { 90 } ifelse def gsave originalCTM setmatrix tipx tipy translate angle rotate newpath arrowHeight neg arrowWidth 2 div moveto 0 0 lineto arrowHeight neg arrowWidth 2 div neg lineto patternNone not { originalCTM setmatrix /padtip arrowHeight 2 exp 0.25 arrowWidth 2 exp mul add sqrt brushWidth mul arrowWidth div def /padtail brushWidth 2 div def tipx tipy translate angle rotate padtip 0 translate arrowHeight padtip add padtail add arrowHeight div dup scale arrowheadpath ifill } if brushNone not { originalCTM setmatrix tipx tipy translate angle rotate arrowheadpath istroke } if grestore end } dup 0 9 dict put def /arrowheadpath { newpath arrowHeight neg arrowWidth 2 div moveto 0 0 lineto arrowHeight neg arrowWidth 2 div neg lineto } def /leftarrow { 0 begin y exch get /taily exch def x exch get /tailx exch def y exch get /tipy exch def x exch get /tipx exch def brushLeftArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /rightarrow { 0 begin y exch get /tipy exch def x exch get /tipx exch def y exch get /taily exch def x exch get /tailx exch def brushRightArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def %%EndIdrawPrologue /arrowHeight 8 def /arrowWidth 4 def /IdrawDict 52 dict def IdrawDict begin /reencodeISO { dup dup findfont dup length dict begin { 1 index /FID ne { def }{ pop pop } ifelse } forall /Encoding ISOLatin1Encoding def currentdict end definefont } def /ISOLatin1Encoding [ /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright /parenleft/parenright/asterisk/plus/comma/minus/period/slash /zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon /less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N /O/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright /asciicircum/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m /n/o/p/q/r/s/t/u/v/w/x/y/z/braceleft/bar/braceright/asciitilde /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/dotlessi/grave/acute/circumflex/tilde/macron/breve /dotaccent/dieresis/.notdef/ring/cedilla/.notdef/hungarumlaut /ogonek/caron/space/exclamdown/cent/sterling/currency/yen/brokenbar /section/dieresis/copyright/ordfeminine/guillemotleft/logicalnot /hyphen/registered/macron/degree/plusminus/twosuperior/threesuperior /acute/mu/paragraph/periodcentered/cedilla/onesuperior/ordmasculine /guillemotright/onequarter/onehalf/threequarters/questiondown /Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla /Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex /Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis /multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute /Thorn/germandbls/agrave/aacute/acircumflex/atilde/adieresis /aring/ae/ccedilla/egrave/eacute/ecircumflex/edieresis/igrave /iacute/icircumflex/idieresis/eth/ntilde/ograve/oacute/ocircumflex /otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex/udieresis /yacute/thorn/ydieresis ] def /Times-Bold reencodeISO def /Courier reencodeISO def /none null def /numGraphicParameters 17 def /stringLimit 65535 def /Begin { save numGraphicParameters dict begin } def /End { end restore } def /SetB { dup type /nulltype eq { pop false /brushRightArrow idef false /brushLeftArrow idef true /brushNone idef } { /brushDashOffset idef /brushDashArray idef 0 ne /brushRightArrow idef 0 ne /brushLeftArrow idef /brushWidth idef false /brushNone idef } ifelse } def /SetCFg { /fgblue idef /fggreen idef /fgred idef } def /SetCBg { /bgblue idef /bggreen idef /bgred idef } def /SetF { /printSize idef /printFont idef } def /SetP { dup type /nulltype eq { pop true /patternNone idef } { dup -1 eq { /patternGrayLevel idef /patternString idef } { /patternGrayLevel idef } ifelse false /patternNone idef } ifelse } def /BSpl { 0 begin storexyn newpath n 1 gt { 0 0 0 0 0 0 1 1 true subspline n 2 gt { 0 0 0 0 1 1 2 2 false subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 2 copy false subspline } if n 2 sub dup n 1 sub dup 2 copy 2 copy false subspline patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Circ { newpath 0 360 arc patternNone not { ifill } if brushNone not { istroke } if } def /CBSpl { 0 begin dup 2 gt { storexyn newpath n 1 sub dup 0 0 1 1 2 2 true subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 0 0 false subspline n 2 sub dup n 1 sub dup 0 0 1 1 false subspline patternNone not { ifill } if brushNone not { istroke } if } { Poly } ifelse end } dup 0 4 dict put def /Elli { 0 begin newpath 4 2 roll translate scale 0 0 1 0 360 arc patternNone not { ifill } if brushNone not { istroke } if end } dup 0 1 dict put def /Line { 0 begin 2 storexyn newpath x 0 get y 0 get moveto x 1 get y 1 get lineto brushNone not { istroke } if 0 0 1 1 leftarrow 0 0 1 1 rightarrow end } dup 0 4 dict put def /MLine { 0 begin storexyn newpath n 1 gt { x 0 get y 0 get moveto 1 1 n 1 sub { /i exch def x i get y i get lineto } for patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Poly { 3 1 roll newpath moveto -1 add { lineto } repeat closepath patternNone not { ifill } if brushNone not { istroke } if } def /Rect { 0 begin /t exch def /r exch def /b exch def /l exch def newpath l b moveto l t lineto r t lineto r b lineto closepath patternNone not { ifill } if brushNone not { istroke } if end } dup 0 4 dict put def /Text { ishow } def /idef { dup where { pop pop pop } { exch def } ifelse } def /ifill { 0 begin gsave patternGrayLevel -1 ne { fgred bgred fgred sub patternGrayLevel mul add fggreen bggreen fggreen sub patternGrayLevel mul add fgblue bgblue fgblue sub patternGrayLevel mul add setrgbcolor eofill } { eoclip originalCTM setmatrix pathbbox /t exch def /r exch def /b exch def /l exch def /w r l sub ceiling cvi def /h t b sub ceiling cvi def /imageByteWidth w 8 div ceiling cvi def /imageHeight h def bgred bggreen bgblue setrgbcolor eofill fgred fggreen fgblue setrgbcolor w 0 gt h 0 gt and { l w add b translate w neg h scale w h true [w 0 0 h neg 0 h] { patternproc } imagemask } if } ifelse grestore end } dup 0 8 dict put def /istroke { gsave brushDashOffset -1 eq { [] 0 setdash 1 setgray } { brushDashArray brushDashOffset setdash fgred fggreen fgblue setrgbcolor } ifelse brushWidth setlinewidth originalCTM setmatrix stroke grestore } def /ishow { 0 begin gsave fgred fggreen fgblue setrgbcolor /fontDict printFont printSize scalefont dup setfont def /descender fontDict begin 0 [FontBBox] 1 get FontMatrix end transform exch pop def /vertoffset 1 printSize sub descender sub def { 0 vertoffset moveto show /vertoffset vertoffset printSize sub def } forall grestore end } dup 0 3 dict put def /patternproc { 0 begin /patternByteLength patternString length def /patternHeight patternByteLength 8 mul sqrt cvi def /patternWidth patternHeight def /patternByteWidth patternWidth 8 idiv def /imageByteMaxLength imageByteWidth imageHeight mul stringLimit patternByteWidth sub min def /imageMaxHeight imageByteMaxLength imageByteWidth idiv patternHeight idiv patternHeight mul patternHeight max def /imageHeight imageHeight imageMaxHeight sub store /imageString imageByteWidth imageMaxHeight mul patternByteWidth add string def 0 1 imageMaxHeight 1 sub { /y exch def /patternRow y patternByteWidth mul patternByteLength mod def /patternRowString patternString patternRow patternByteWidth getinterval def /imageRow y imageByteWidth mul def 0 patternByteWidth imageByteWidth 1 sub { /x exch def imageString imageRow x add patternRowString putinterval } for } for imageString end } dup 0 12 dict put def /min { dup 3 2 roll dup 4 3 roll lt { exch } if pop } def /max { dup 3 2 roll dup 4 3 roll gt { exch } if pop } def /midpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 x1 add 2 div y0 y1 add 2 div end } dup 0 4 dict put def /thirdpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 2 mul x1 add 3 div y0 2 mul y1 add 3 div end } dup 0 4 dict put def /subspline { 0 begin /movetoNeeded exch def y exch get /y3 exch def x exch get /x3 exch def y exch get /y2 exch def x exch get /x2 exch def y exch get /y1 exch def x exch get /x1 exch def y exch get /y0 exch def x exch get /x0 exch def x1 y1 x2 y2 thirdpoint /p1y exch def /p1x exch def x2 y2 x1 y1 thirdpoint /p2y exch def /p2x exch def x1 y1 x0 y0 thirdpoint p1x p1y midpoint /p0y exch def /p0x exch def x2 y2 x3 y3 thirdpoint p2x p2y midpoint /p3y exch def /p3x exch def movetoNeeded { p0x p0y moveto } if p1x p1y p2x p2y p3x p3y curveto end } dup 0 17 dict put def /storexyn { /n exch def /y n array def /x n array def n 1 sub -1 0 { /i exch def y i 3 2 roll put x i 3 2 roll put } for } def /SSten { fgred fggreen fgblue setrgbcolor dup true exch 1 0 0 -1 0 6 -1 roll matrix astore } def /FSten { dup 3 -1 roll dup 4 1 roll exch newpath 0 0 moveto dup 0 exch lineto exch dup 3 1 roll exch lineto 0 lineto closepath bgred bggreen bgblue setrgbcolor eofill SSten } def /Rast { exch dup 3 1 roll 1 0 0 -1 0 6 -1 roll matrix astore } def %%EndProlog %I Idraw 10 Grid 8 8 %%Page: 1 1 Begin %I b u %I cfg u %I cbg u %I f u %I p u %I t [ 0.8 0 0 0.8 0 0 ] concat /originalCTM matrix currentmatrix def Begin %I Pict %I b 65535 1 0 0 [] 0 SetB %I cfg u %I cbg u %I f u %I p u %I t [ 1 0 0 1 30 -39 ] concat Begin %I Line %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 148 197 ] concat %I 81 560 112 560 Line %I 1 End Begin %I Line %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 148 187 ] concat %I 81 560 112 560 Line %I 1 End Begin %I MLine %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 147 196 ] concat %I 3 106 571 120 557 106 540 3 MLine %I 1 End End %I eop Begin %I Pict %I b 65535 1 0 0 [] 0 SetB %I cfg u %I cbg u %I f u %I p u %I t [ 1 0 0 1 20 -158 ] concat Begin %I Line %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 148 197 ] concat %I 81 560 112 560 Line %I 1 End Begin %I Line %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 148 187 ] concat %I 81 560 112 560 Line %I 1 End Begin %I MLine %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 147 196 ] concat %I 3 106 571 120 557 106 540 3 MLine %I 1 End End %I eop Begin %I Pict %I b 65535 1 0 0 [] 0 SetB %I cfg u %I cbg u %I f u %I p u %I t [ 1 0 0 1 20 -308 ] concat Begin %I Line %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 148 197 ] concat %I 81 560 112 560 Line %I 1 End Begin %I Line %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 148 187 ] concat %I 81 560 112 560 Line %I 1 End Begin %I MLine %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg Black 0 0 0 SetCBg none SetP %I p n %I t [ 1 0 0 1 147 196 ] concat %I 3 106 571 120 557 106 540 3 MLine %I 1 End End %I eop Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.2511 142 51.4346 ] concat %I 40 562 40 525 Line %I 1 End Begin %I Elli %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 143 185 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 143 245 ] concat %I 39 512 3 3 Elli End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* Times-Bold 14 SetF %I t [ 1 0 0 1 179 778 ] concat %I [ (r) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* Times-Bold 14 SetF %I t [ 1 0 0 1 177 687 ] concat %I [ (v1) ] Text End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 342.491 95.2167 ] concat %I 69 558 41 519 Line %I 1 End Begin %I Elli %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 373.491 242.491 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 403.491 189.491 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 376.491 93.2167 ] concat %I 38 560 63 522 Line %I 1 End Begin %I Elli %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 338.491 187.491 ] concat %I 39 512 3 3 Elli End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* Times-Bold 14 SetF %I t [ 1 0 0 1 407.491 776.491 ] concat %I [ (r) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* Times-Bold 14 SetF %I t [ 1 0 0 1 371.491 692.491 ] concat %I [ (v1) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* Times-Bold 14 SetF %I t [ 1 0 0 1 403.491 708.491 ] concat %I [ (...) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* Times-Bold 14 SetF %I t [ 1 0 0 1 403.491 651.491 ] concat %I [ (r) ] Text End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.26061 335.491 -136.139 ] concat %I 40 560 40 527 Line %I 1 End Begin %I Elli %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 336.491 6.49066 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 338.491 -31.7833 ] concat %I 69 558 42 520 Line %I 1 End Begin %I Elli %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 369.491 117.491 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 398.491 63.4907 ] concat %I 39 512 3 3 Elli End Begin %I Line %I b 65535 3 0 1 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1.18182 371.491 -33.7833 ] concat %I 38 560 62 523 Line %I 1 End Begin %I Elli %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 336.491 62.4907 ] concat %I 39 512 3 3 Elli End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* Times-Bold 14 SetF %I t [ 1 0 0 1 351.491 578.491 ] concat %I [ (v1) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* Times-Bold 14 SetF %I t [ 1 0 0 1 399.491 583.491 ] concat %I [ (...) ] Text End Begin %I Text %I cfg Black 0 0 0 SetCFg %I f *-times-bold-r-*-140-* Times-Bold 14 SetF %I t [ 1 0 0 1 363.491 513.491 ] concat %I [ (v1.1) ] Text End Begin %I Elli %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 363.491 -157.509 ] concat %I 39 512 3 3 Elli End Begin %I Elli %I b 65535 2 0 0 [] 0 SetB %I cfg Black 0 0 0 SetCFg %I cbg White 1 1 1 SetCBg %I p 0 SetP %I t [ 1 0 0 1 298.491 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16 16 15 bop 166 45 a Fl(end)14 b(for)166 95 y(for)g(i)f(:)18 b(1)c(..)j(n)o(umOfChildren\(r\))249 145 y(deleteGratuitousT)m(ub)q (es\(ithChild\(r,i\)\))166 195 y(end)d(for)83 244 y(end)g(deleteGratuitousT)m (ub)q(es)0 278 y Fh(2)0 421 y Ff(6.2)70 b(Op)r(erations)23 b(on)g(V)-6 b(ertices)0 513 y Fp(W)l(e)15 b(no)o(w)g(presen)o(t)f(algorithms) g(for)h(op)q(erating)h(on)f(the)f(v)o(ertices)f(of)i(a)h(tub)q(e)f(graph)g (and)h(consider)e(ho)o(w)0 574 y(these)i(op)q(erations)h(a\013ect)g(its)f(w)o (ell-formedness.)4 683 y Fk(Algorithm)h(8:)k(Adding)e(a)g(V)-5 b(ertex)0 733 y Fp(Pro)q(cedure)13 b Fo(addV)l(ertex)i Fp(adds)f(a)g(new)f(v) o(ertex)e Fj(x)i Fp(as)h(the)f(c)o(hild)f(of)i(v)o(ertex)d Fj(p)j Fp(\(if)f Fj(p)h Fp(=)g Fj(nil)q Fp(,)f Fj(x)g Fp(b)q(ecomes)f(the)0 783 y(ro)q(ot\).)25 b(V)l(ertex)16 b Fj(x)h Fp(can)g(b)q(e)h(the)f(ro)q(ot)h (of)g(a)f(subtree,)g(or)h(a)f(single)g(v)o(ertex.)23 b(The)17 b Fo(sele)n(cte)n(dChildr)n(enOfP)0 833 y Fp(set)e(con)o(tains)g(those)h(c)o 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y(of)d(the)g(deleted)f(v)o(ertex.) 25 b(Note)17 b(that)i(the)e(ro)q(ot)i(v)o(ertex)e(cannot)i(b)q(e)f(deleted,)e (since)i(all)f(tub)q(e)h(graphs)0 2654 y(m)o(ust)h(ha)o(v)o(e)h(a)i(ro)q(ot.) 36 b(The)20 b(complexit)o(y)e(of)j Fo(deleteV)l(ertex)j Fp(is)d(O\()p Fj(maxT)7 b(ubeO)q(ut)18 b Fp(+)j Fj(maxT)7 b(ubeI)t(n)18 b Fp(+)0 2704 y Fj(maxC)t(hil)q(dr)q(en)p Fi(\002j)p Fj(V)9 b Fi(j\002)p Fj(heig)r(ht)p Fp(\).)932 2828 y(16)p eop %%Page: 17 17 17 16 bop 83 45 a Fl(pro)q(cedure)16 b(deleteV)m(ertex\(x)g(:)i Fd(V)9 b Fl(\))166 95 y(precondition)14 b Fc(:)g Fl(isRo)q(ot\(x\))166 145 y(for)g(i)f(:)18 b(1)c(..)j(n)o(umOfChildren\(x\))249 195 y(addChild\(par\(x\),ithChild\(x,i\)\))166 244 y(end)d(for)166 294 y(for)g(i)f(:)18 b(1)c(..)j(n)o(umOfOutgoingT)m(ub)q(es\(x\))249 344 y(y)d Fc( )f Fl(v)o(ertexOfIthOutgoingT)m(ub)q(e\(x,i\))249 394 y(if)g(par\(x\))h Fc(6)p Fl(=)g(par\(y\))g(then)332 444 y(addT)m(ub)q(e\(par\(x\),y\))249 493 y(end)g(if)249 543 y(deleteT)m(ub)q (e\(x,y\))166 593 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(ot\(p\))249 936 y(p)g Fc( )f Fl(par\(p\))249 985 y(x.n)o(umOfAncestors)i Fc( )e Fl(x.n)o(umOfAncestors)i(+)f(1)249 1035 y(x.hasAncestor\(p.id\))h Fc( )e Fl(x.n)o(umOfAncestors)249 1085 y(x.ancestor\(x.hasAncestor\(p.id\)\)) j Fc( )d Fl(p)166 1135 y(end)h(lo)q(op)83 1185 y(end)g(createAncest)q(ors)0 1226 y Fh(2)4 1336 y Fk(Algorithm)j(29:)k(Creating)e(the)f(Ancestors)g(of)h (a)g(Subtree)0 1386 y Fp(Pro)q(cedure)d Fo(cr)n(e)n(ateA)o(nc)n (estorsOfSubtr)n(e)n(e)i Fp(creates)e(the)g(ancestor)g(list)g(of)h(eac)o(h)e (v)o(ertex)g(of)i(the)f(subtree)0 1436 y(ro)q(oted)h(at)g Fj(x)p Fp(.)k(Its)16 b(complexit)o(y)d(is)j(O\()p Fi(j)p Fj(V)11 b Fi(j\002)p Fj(heig)r(ht)p Fp(\).)83 1527 y Fl(pro)q(cedure)16 b(createAncestorsO)q(fSubtree)q(\(x)h(:)h Fd(V)9 b Fl(\))166 1577 y(precondition)14 b(x)g Fc(6)p Fl(=)g(nil)166 1627 y(initAncestors\(x\)) 166 1676 y(createAncestors)q(\(x\))166 1726 y(for)g(i)f(:)18 b(1)c(..)j(n)o(umOfChildren\(x\))249 1776 y(createAncestors)q(OfSubtre)q (e\(ithChild\(x,i\)\))166 1826 y(end)d(end)83 1876 y(end)g(createAncest)q (orsOfSubtre)q(e)0 1917 y Fh(2)0 2084 y Fq(References)24 2193 y Fp([1])24 b Fa(Cla)o(us,)k(V.,)h(Ehrig,)g(H.,)f(and)f(R)o(ozenber)o(g,)g (G.)46 b Fp(In)24 b Fo(Gr)n(aph-Gr)n(ammar)o(s)e(and)j(Their)100 2254 y(Applic)n(ation)h(to)e(Computer)h(Scienc)n(e)i(and)d(Biolo)n(gy)29 b Fp(\(Berlin,)24 b(German)o(y)l(,)g(1978\),)j(Springer{)100 2314 y(V)l(erlag.)24 2415 y([2])d Fa(Consens,)f(M.,)h(Eigler,)g(F.,)h(Hasan,) d(M.,)i(Mendelzon,)f(A.,)h(Noik,)f(M.,)h(R)l(yman,)100 2476 y(A.,)18 b(and)f(Vist)m(a,)g(D.)k Fp(Arc)o(hitecture)13 b(and)k(Applications) d(of)i(the)g(Hy)1408 2458 y Fn(+)1452 2476 y Fp(Visualization)f(System.)100 2536 y Fo(IBM)i(Systems)h(Journal)g(33)p Fp(,)d(3)i(\(1994\).)24 2638 y([3])24 b Fa(Cooprider,)17 b(L.)g(W.)h Fp(The)d(Represen)o(tation)f(of) h(F)l(amilies)d(of)i(Soft)o(w)o(are)h(Systems.)i(T)l(ec)o(h.)c(Rep.)100 2698 y(CMU{CS{79{116,)19 b(Computer)c(Science)g(Departmen)o(t)g(CMU,)g(April) g(1979.)932 2828 y(23)p eop %%Page: 24 24 24 23 bop 24 45 a Fp([4])24 b Fa(Dean,)17 b(T.)h(R.,)f(and)g(Lamb,)g(D.)h(A.) h Fp(A)c(Theory)g(Mo)q(del)f(Core)i(for)f(Mo)q(dule)g(In)o(terconnection)100 105 y(Languages.)24 b(In)16 b Fo(Pr)n(o)n(c)n(e)n(e)n(dings)g(of)h(the)h (1994)f(IBM)g(CASCON)i(Confer)n(enc)n(e)h Fp(\(No)o(v)o(em)o(b)q(er)14 b(1994\).)24 207 y([5])24 b Fa(DeRemer,)56 b(F.,)g(and)48 b(Kr)o(on,)54 b(H.)48 b(H.)104 b Fp(Programming{in{the{Large)44 b(V)l(ersus)100 267 y(Programming{in{the{Small.)21 b Fo(IEEE)d(T)l(r)n(ansactions)g(on)g (Softwar)n(e)h(Engine)n(ering)h(2)p Fp(,)c(2)i(\(June)100 327 y(1976\),)g(80{86.)24 429 y([6])24 b Fa(Fenton,)e(N.,)g(and)g(Hill,)f(G.)30 b Fo(Systems)21 b(Construction)g(and)f(A)o(nalysis:)28 b(A)20 b(Mathematic)n(al)100 489 y(and)e(L)n(o)n(gic)n(al)e(F)l(r)n(amework)p Fp(.)21 b(McGra)o(w-Hill)15 b(In)o(ternational,)g(1993.)24 591 y([7])24 b Fa(Garlan,)18 b(D.,)i(and)e(Sha)l(w,)h(M.)k Fp(Arc)o(hitectures)14 b(for)j(Soft)o(w)o(are)g(Systems.)k(In)c Fo(tutorial)h(given)100 651 y(at)e(A)o(CM)f(SIGSOFT)h('93:)21 b(Symp)n(osium)15 b(on)h(the)g(F)l(oundations)h(of)e(Softwar)n(e)h(Engine)n (ering)k Fp(\(Los)100 711 y(Angeles,)15 b(California,)h(Decem)o(b)q(er)e (1993\).)24 813 y([8])24 b Fa(Hol)m(t,)19 b(R.)g(C.,)h(and)f(Cord)o(y,)g(J.)h (R.)j Fp(The)17 b(T)l(uring)g(Programming)f(Language.)25 b Fo(Communi-)100 873 y(c)n(ations)18 b(of)f(the)h(A)o(CM)f(31)p Fp(,)f(12)h(\(Decem)o(b)q(er)d(1988\),)j(1410{1423.)24 975 y([9])24 b Fa(Hol)m(t,)d(R.)g(C.,)h(and)f(Mancoridis,)g(S.)29 b Fp(A)18 b(F)l(ramew)o(ork)f(F)l(or)i(Sp)q(ecifying)f(and)h(Visualizing)100 1035 y(Arc)o(hitectural)f(Designs.)31 b(T)l(ec)o(h.)18 b(Rep.)h(CSRI-300,)i (Computer)e(Science)f(Researc)o(h)h(Institute,)100 1095 y(Univ)o(ersit)o(y)14 b(of)i(T)l(oron)o(to,)h(June)f(1994.)0 1197 y([10])24 b Fa(Hol)m(t,)h(R.)g (C.,)h(Penny,)f(D.)g(A.,)g(and)f(Mancoridis,)i(S.)38 b Fp(Multicolour)21 b(Programming)100 1257 y(and)i(Metamorphic)e(Programming:)33 b(Ob)s(ject)21 b(Orien)o(ted)h(Programming{in{the{Large.)40 b(In)100 1317 y Fo(Pr)n(o)n(c)n(e)n(e)n(dings)17 b(of)g(the)h(1992)f(IBM)g (CASCON)h(Confer)n(enc)n(e)j Fp(\(No)o(v)o(em)o(b)q(er)13 b(1992\),)18 b(pp.)e(43{58.)0 1419 y([11])24 b Fa(Kreo)o(wski,)d(H.)28 b Fp(A)18 b(Pumping)g(Lemma)f(for)h(Con)o(text-F)l(ree)g(Graph)i(Languages.)30 b(In)19 b Fo(Gr)n(aph-)100 1479 y(Gr)n(ammars)12 b(and)i(Their)g(Applic)n (ation)h(to)f(Computer)g(Scienc)n(e)i(and)e(Biolo)n(gy)j Fp(\(Berlin,)12 b(German)o(y)l(,)100 1539 y(1978\),)18 b(Springer{V)l(erlag,)d(pp.)h (270{283.)0 1641 y([12])24 b Fa(Mendelzon,)f(A.)g(O.)35 b Fp(Declarativ)o(e) 19 b(Database)j(Visualization:)29 b(Recen)o(t)19 b(P)o(ap)q(ers)i(from)f(the) 100 1701 y(Hy+/GraphLog)c(Pro)s(ject.)h(T)l(ec)o(h.)c(Rep.)g(CSRI-285,)j (Computer)d(Science)f(Researc)o(h)i(Institute,)100 1762 y(Univ)o(ersit)o(y)g (of)i(T)l(oron)o(to,)h(1993.)0 1863 y([13])24 b Fa(Penny,)i(D.)g(A.)40 b Fo(The)24 b(Softwar)n(e)f(L)n(andsc)n(ap)n(e:)33 b(A)24 b(Visual)g(F)l (ormalism)e(for)h(Pr)n(o)n(gr)n(amming{)100 1923 y(in{the{L)n(ar)n(ge)p Fp(.)28 b(PhD)20 b(thesis,)e(Departmen)o(t)g(of)h(Computer)e(Science,)h(Univ) o(ersit)o(y)e(of)j(T)l(oron)o(to,)100 1984 y(1992.)0 2085 y([14])24 b Fa(Perr)m(y,)18 b(D.)i(E.,)e(and)h(W)o(olf,)e(A.)i(L.)j Fp(F)l(oundations)c (for)e(the)h(Study)f(of)h(Soft)o(w)o(are)f(Arc)o(hitec-)100 2146 y(tures.)21 b Fo(Softwar)n(e)d(Engine)n(ering)h(Notes)f(17)p Fp(,)e(4)h(\(Octob)q(er)f(1992\),)h(40{49.)0 2247 y([15])24 b Fa(Schw)l(anke,)f(R.)g(W.,)h(Al)m(tucher,)f(R.)g(Z.,)h(and)e(Pla)m(toff,)h (M.)g(A.)33 b Fp(Disco)o(v)o(ering,)20 b(Vi-)100 2307 y(sualizing,)i(and)f (Con)o(trolling)g(Soft)o(w)o(are)g(Structure.)35 b(In)21 b Fo(Pr)n(o)n(c)n(e)n(e)n(dings)g(of)g(the)i(Fifth)e(Interna-)100 2368 y(tional)14 b(Workshop)e(on)h(Softwar)n(e)g(Sp)n(e)n(ci\014c)n(ation)g (and)g(Design)j Fp(\(Pittsburgh,)d(P)o(ennsylv)m(ania,)e(Ma)o(y)100 2428 y(1989\),)18 b(pp.)e(147{150.)0 2530 y([16])24 b Fa(Tichy,)14 b(W.)g(F.)f Fp(Soft)o(w)o(are)e(Dev)o(elopmen)o(t)d(Con)o(trol)k(Based)f(on)g (System)f(Structure)g(Description.)100 2590 y(T)l(ec)o(h.)15 b(Rep.)h(CMU{CS{80{120,)j(Computer)c(Science)g(Departmen)o(t)f(CMU,)h(Jan)o (uary)i(1980.)932 2828 y(24)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF