%!PS-Adobe-3.0
%%Title: (2001-02-08.fm)
%%Creator: (FrameMaker+SGML 6.0: AdobePS 8.5.1)
%%CreationDate: (7:03 PM Tuesday, February 27, 2001)
%%For: (Matt Bishop)
%%Routing: (mailto:\000bishop@cs.ucdavis.edu)
%%Pages: 8
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userdict/dscInfo 5 dict dup begin
/Title(2001-02-08.fm)def
/Creator(FrameMaker+SGML 6.0: AdobePS 8.5.1)def
/CreationDate(7:03 PM Tuesday, February 27, 2001)def
/For(Matt Bishop)def
/Pages 8 def
end put
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%%BeginFile: lw8_feature-1.01
%%Copyright: Copyright 1990-1999 Adobe Systems Incorporated and Apple Computer Incorporated. All Rights Reserved.
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/ld{load def}bd
/xs{exch store}bd
/Z{0 def}bd
/T true def
/F false def
/level2
/languagelevel where
{
pop languagelevel 2 ge
}{
F
}ifelse
def
/odictstk Z
/oopstk Z
/fcl
{
count oopstk sub dup 0 gt
{
{pop}repeat
}{
pop
}ifelse
countdictstack odictstk sub dup 0 gt
{
{end}repeat
}{
pop
}ifelse
}bd
/sfcl2
{
/odictstk countdictstack store
count/oopstk xs
}bd
/efcl2
{
stopped{$error/newerror F put}if
fcl
}bd
/noload Z
/startnoload
{
{/noload save store}if
}bd
/endnoload
{
{noload restore}if
}bd
/setcopies{
level2
{
1 dict begin/NumCopies exch def currentdict end setpagedevice
}{
userdict/#copies 3 -1 roll put
}ifelse
}def
level2 startnoload
/ststpgdev{}def
/dopgdev{}def
/stpgdev{}def
/buf Z
/didstop T def
/sfcl
{
/didstop T store
/odictstk countdictstack store
count/oopstk xs
currentfile cvx stopped
{
$error/newerror F put
didstop
{
save/didstop xs
/buf vmstatus exch sub exch pop dup 0 lt{pop 0}if
dup 64000 gt{pop 64000}if string store
{
currentfile buf readline
{
(}efcl)eq{exit}if
}{
/UnexpectedEOF errordict/rangecheck get exec
}ifelse
}loop
didstop restore
}if
}if
fcl
}bd
/efcl
{
/didstop F store
exec
stop
}bd
level2 endnoload level2 not startnoload
/setpagedevice where{pop/realstpgdev/setpagedevice ld}if
/SC_topddict Z
/SC_spdict Z
/$spusrdict F def
/dopgdev
{
userdict/setpagedevice undef
$spusrdict
{
userdict/setpagedevice/realstpgdev load put
/$spusrdict F store
}if
SC_topddict realstpgdev
}bd
/stpgdev
{
SC_topddict dup 3 -1 roll
{
SC_spdict 2 index known
{
SC_spdict 2 index get
dup 3 -1 roll
{
put dup
}forall
pop put dup
}{
put dup
}ifelse
}forall
pop pop
}bd
/ststpgdev
{
/setpagedevice where
{
userdict eq
{
/$spusrdict T store
}if
}if
userdict/setpagedevice/stpgdev load put
/SC_topddict 0 dict store
/SC_spdict 3 dict begin
/InputAttributes 0 dict def
/Policies 0 dict def
/OutputAttributes 0 dict def
currentdict
end
store
}def
/sfcl/sfcl2 ld
/efcl/efcl2 ld
level2 not endnoload
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/xdf{exch def}bd
/:L/lineto
/lw/setlinewidth
/:M/moveto
/rl/rlineto
/rm/rmoveto
/:C/curveto
/:T/translate
/:K/closepath
/:mf/makefont
/gS/gsave
/gR/grestore
/np/newpath
12{ld}repeat
/framewidth -1 def
/QDframwid -1 def
/numframes Z
/mTS matrix def
/$m matrix def
/av 87 def
/por T def
/normland F def
/psb-nosave{}def
/pse-nosave{}def
/us Z
/psb{/us save store}bd
/pse{us restore}bd
/level3
/languagelevel where
{
pop languagelevel 3 ge
}{
F
}ifelse
def
level2 startnoload
/setjob
{
statusdict/jobname 3 -1 roll put
}bd
/devg/DeviceGray def
/devr/DeviceRGB def
/devc/DeviceCMYK def
level2 endnoload level2 not startnoload
/setjob
{
1 dict begin/JobName xdf currentdict end setuserparams
}bd
/devg[/DeviceGray]def
/devr[/DeviceRGB]def
/devc[/DeviceCMYK]def
level2 not endnoload
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/mT Z
/sD Z
/mTSsetup{
mT $m currentmatrix mTS concatmatrix pop
}bd
/pmSVsetup{
/pm save store
}bd
/initializepage
{
mT concat
}bd
/endp
{
pm restore
}bd
/adjRect
{
dup 2 mul 6 2 roll
4 index sub exch 5 -1 roll sub exch
4 2 roll
4 index add exch 5 -1 roll add exch
4 2 roll
}bd
/frame1up
{
gS
mTS setmatrix
QDframwid lw
/setstrokeadjust where{pop T setstrokeadjust}if
clippath pathbbox
2 index sub exch
3 index sub exch
currentlinewidth framewidth mul
adjRect
numframes dup 0 lt{pop 0}if
{
4 copy
rS
currentlinewidth framewidth
mul 4 mul
adjRect
}repeat
pop pop pop pop
gR
}bd
/$c devr def
/rectclip where
{
pop/rC/rectclip ld
}{
/rC
{
np 4 2 roll
:M
1 index 0 rl
0 exch rl
neg 0 rl
:K
clip np
}bd
}ifelse
/rectfill where
{
pop/rF/rectfill ld
}{
/rF
{
gS
np
4 2 roll
:M
1 index 0 rl
0 exch rl
neg 0 rl
fill
gR
}bd
}ifelse
/rectstroke where
{
pop/rS/rectstroke ld
}{
/rS
{
gS
np
4 2 roll
:M
1 index 0 rl
0 exch rl
neg 0 rl
:K
stroke
gR
}bd
}ifelse
%%EndFile
level3 startnoload
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/rectclip where
{
pop/rCa/rectclip ld
}{
/rCa
{
np 0
1 index length 4 idiv
{
2 copy
4 getinterval
aload pop
4 2 roll
:M
1 index 0 rl
0 exch rl
neg 0 rl
:K
4 add
}repeat
clip np
pop pop
}bd
}ifelse
/savedstack Z
/subsavedstack Z
/execstring Z
/saferCa
{
/execstring xs
/odictstk countdictstack store
/oopstk 0 store
count 0 ne
{
savedstack 0 eq{
count 100 gt{count}{100}ifelse
array/savedstack xs
}{
count savedstack length gt
{
count array/savedstack xs
}if
}ifelse
count savedstack 0 3 -1 roll
getinterval
astore/subsavedstack xs
}{
/subsavedstack 0 store
}ifelse
execstring cvx stopped
{
$error/newerror F put
newpath
}if
fcl
subsavedstack 0 ne{
subsavedstack aload pop
}if
}bd
%%EndFile
level3 endnoload level3 not startnoload
%%BeginFile: lw8_safeclipL3-1.0
/saferCa/pop ld
%%EndFile
level3 not endnoload
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/G/setgray ld
/:F1/setgray ld
/:F/setrgbcolor ld
/:F4/setcmykcolor where
{
pop
/setcmykcolor ld
}{
{
3
{
dup
3 -1 roll add
dup 1 gt{pop 1}if
1 exch sub
4 1 roll
}repeat
pop
setrgbcolor
}bd
}ifelse
/:Fx
{
counttomark
{0{G}0{:F}{:F4}}
exch get
exec
pop
}bd
/$cs Z
/:rg{devr :ss}bd
/:sc{$cs :ss}bd
/:dc
{
dup type/arraytype eq{0 get}if
dup/DeviceCMYK eq
{
pop devc
}{
/DeviceGray eq
{
devg
}{
devr
}ifelse
}ifelse
/$cs xdf
}bd
/:sgl{}def
/:dr{}bd
/:fCRD{pop}bd
/:ckcs{}bd
/:ss{/$c xdf}bd
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/$p Z
/$s Z
/$o 1. def
/2state? F def
/ps Z
level2 startnoload
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/popcolor/setrgbcolor ld
/setcmykcolor where
{
pop/currentcmykcolor where
{
pop/pushcolor/currentcmykcolor ld
/popcolor/setcmykcolor ld
}if
}if
level2 endnoload level2 not startnoload
/pushcolor
{
currentcolorspace $c eq
{
currentcolor currentcolorspace T
}{
currentcmykcolor F
}ifelse
}bd
/popcolor
{
{
setcolorspace setcolor
}{
setcmykcolor
}ifelse
}bd
level2 not endnoload
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{
2state?
$o
$t
$p
$s
$cs
ps
}bd
/popstatic
{
/ps xs
/$cs xs
/$s xs
/$p xs
/$t xs
/$o xs
/2state? xs
}bd
/pushgstate
{
currentpoint
pushcolor
currentlinewidth
currentlinecap
currentlinejoin
currentdash exch aload length
np clippath pathbbox
$m currentmatrix aload pop
}bd
/popgstate
{
$m astore setmatrix
2 index sub exch
3 index sub exch
rC
array astore exch setdash
setlinejoin
setlinecap
lw
popcolor
np :M
}bd
/bu
{
errordict/nocurrentpoint{pop 0 0}put
2state?
{
pushgstate
gR
}if
pushgstate
gR
pushgstate
pushstatic
pm restore
mTS setmatrix
}bd
/bn
{
/pm save store
popstatic
popgstate
gS
popgstate
2state?
{
gS
popgstate
}if
}bd
/cpat{pop 64 div setgray 8{pop}repeat}bd
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/S/show ld
/A{
0.0 exch ashow
}bd
/R{
0.0 exch 32 exch widthshow
}bd
/W{
0.0 3 1 roll widthshow
}bd
/J{
0.0 32 4 2 roll 0.0 exch awidthshow
}bd
/V{
0.0 4 1 roll 0.0 exch awidthshow
}bd
/fcflg T def
/fc{
fcflg{
vmstatus exch sub 50000 lt{
(%%[ Warning: Running out of memory ]%%\r)print flush/fcflg F store
}if pop
}if
}bd
/$f[1 0 0 -1 0 0]def
/:ff{$f :mf}bd
/$o 1. def
/gl{$o G}bd
/MacEncoding StandardEncoding 256 array copy def
MacEncoding dup 9/space put dup 39/quotesingle put 96/grave put
/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis/Udieresis/aacute
/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute/egrave
/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde/oacute
/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex/udieresis
/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
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/infinity/plusminus/lessequal/greaterequal/yen/mu/partialdiff/summation
/product/pi/integral/ordfeminine/ordmasculine/Omega/ae/oslash
/questiondown/exclamdown/logicalnot/radical/florin/approxequal/Delta/guillemotleft
/guillemotright/ellipsis/space/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide/lozenge
/ydieresis/Ydieresis/fraction/Euro/guilsinglleft/guilsinglright/fi/fl
/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex/Idieresis/Igrave
/Oacute/Ocircumflex/apple/Ograve/Uacute/Ucircumflex/Ugrave/dotlessi/circumflex/tilde
/macron/breve/dotaccent/ring/cedilla/hungarumlaut/ogonek/caron
MacEncoding 128 128 getinterval astore pop
level2 startnoload
/copyfontdict
{
findfont dup length dict
begin
{
1 index/FID ne{def}{pop pop}ifelse
}forall
}bd
/$ckeyd md def
/:skey
{
1 index maxlength 2 index
length sub
ge
{
begin
/$mkeys 20 dict def
/$mkeys load
end
dup/$ckeyd xs
}if
3 1 roll put
}bd
/fD1pass
{
40
$ckeyd
//md
ne
{
pop 1
}if
$ckeyd exch
:skey
}bd
/:searchdict Z
/:searchdict
{
exch 2 copy
known
{
get
}{
exch/$mkeys
get
:searchdict
}ifelse
}bd
/lU
{
//md exch 2 copy
known
{
get
}{
exch
/$mkeys get
:searchdict
}ifelse
}bd
/:xs{
exch 0 1 2 index length 1 sub{
3 copy
gS 1 getinterval show gR
exch
get 0.0
rm
}for pop pop
}bd
/:ys{
exch 0 1 2 index length 1 sub{
3 copy
gS 1 getinterval show gR
exch
get 0.0 exch
rm
}for pop pop
}bd
/:xys{
exch 0 1 2 index length 1 sub{
3 copy
gS 1 getinterval show gR
exch 2 mul 2 copy
1 add get 3 -2 roll get exch
rm
}for pop pop
}bd
level2 endnoload level2 not startnoload
/copyfontdict
{
findfont dup length dict
copy
begin
}bd
/fD1pass/def ld
/lU/load ld
level2{
/:xs/xshow ld
/:ys/yshow ld
/:xys/xyshow ld
}if
level2 not endnoload
/:xbl{
currentpoint
2 index exec
:M
.03 ps mul currentpoint
2 index 0.0
rm
3 index
exec
:M currentpoint
2 index dup
rm
3 index exec
:M
0.0 1 index
rm exch
exec
neg 0.0 exch
rm
}bd
/:xot{
currentpoint -2.0 0.0 rm 2 index exec :M
currentpoint 0.0 -2.0 rm 2 index exec :M
currentpoint 0.0 2.0 rm 2 index exec :M
currentpoint 2.0 0.0 rm 2 index exec :M
gS gl exec currentpoint gR :M
}bd
/:xsh{
2 ps 0.05 mul add
2 copy
currentpoint
5 2 roll
0.0 rm
exec
currentpoint
6 2 roll
sub moveto
:xot
moveto
}bd
/fD Z
/sf Z
/scf Z
/sf1pass
{
lU setfont
}bd
/scf1pass
{
exch lU exch scalefont fD
}bd
/scf2pass
{
scalefont fD
}bd
md/fontname known not{
/fontname/customfont def
}if
/Encoding Z
/:mre
{
copyfontdict
/Encoding MacEncoding def
fontname currentdict
end
definefont :ff fD
}bd
/:bsr
{
copyfontdict
/Encoding Encoding 256 array copy def
Encoding dup
}bd
/pd{put dup}bd
/:esr
{
pop pop
fontname currentdict
end
definefont :ff fD
}bd
/ps Z
/fz{/ps xs}bd
/cF/currentfont ld
/mbf
{
/makeblendedfont where
{
pop
makeblendedfont
/ABlend exch definefont
}{
pop
}ifelse
fD
}def
%%EndFile
/currentpacking where {pop sc_oldpacking setpacking}if end
%%EndProlog
%%BeginSetup
md begin
/fD/def ld/sf/setfont ld /scf/scf2pass ld
%RBIIncludeNonPPDFeature: NumCopies 1
%RBIBeginNonPPDFeature: WaitTimeout 600
 600/languagelevel where{pop languagelevel 2 ge}{false}ifelse{1 dict dup/WaitTimeout 4 -1 roll put setuserparams}{statusdict/waittimeout 3 -1 roll put}ifelse
%RBIEndNonPPDFeature
sfcl{
%%BeginFeature: *InputSlot Upper

%%EndFeature

}efcl

sfcl{
%%BeginFeature: *ManualFeed False
level2 {1 dict dup /ManualFeed false put setpagedevice}{statusdict begin /manualfeed false store end} ifelse
%%EndFeature

}efcl

sfcl{
%%BeginFeature: *PageRegion Letter
level2 { 
		2 dict dup /PageSize [612 792] put dup /ImagingBBox null put setpagedevice
	}{
		/letter where {pop letter}{letterR} ifelse
	} ifelse
%%EndFeature

}efcl

(Matt Bishop)setjob
/mT[1 0 0 -1 18 784]def
%RBIIncludeStartNup
/sD 16 dict def
%RBIBeginFontRasterizer: TrueType
%%BeginFile: lw8_TrueType-2.0
userdict/LW
statusdict begin product end(LaserWriter)anchorsearch
exch pop
{
dup length 0 eq
{
pop 1
}{
( Plus)eq
{
2
}{
3
}ifelse
}ifelse
}{
0
}ifelse
put
userdict/patchOK known not{
userdict/patchOK
systemdict/eexec known
systemdict/cexec known and{
countdictstack mark
false
<1861AEDAE118A9F95F1629C0137F8FE656811DD93DFBEA65E947502E78BA12284B8A58EF0A3
2E272778DAA2ABEC72A84102D591E11D96BA61F57877B895A752D9BEAAC3DFD7D3220E2BDE7
C036467464E0E836748F1DE7AB6216866F130CE7CFCEC8CE050B870C11881EE3E9D70919>
{eexec}stopped{
$error/newerror false put
cleartomark
countdictstack exch sub dup 0 gt{{end}repeat}{pop}ifelse
false
}{
{cleartomark pop true}{cleartomark pop false}ifelse
}ifelse
}{false}ifelse
put
}if
userdict/downloadOK known not
{
userdict/downloadOK
{
patchOK
LW dup 1 ne
exch 2 ne
and
and
vmstatus exch sub
exch pop 120000 gt
and
}bind
put
}if
userdict/type42known known not
{
userdict/type42known
systemdict/resourcestatus known
{
42/FontType resourcestatus
{
pop pop true
}{
false
}ifelse
}{
false
}ifelse
put
}if
type42known not downloadOK and
userdict/*charpath known not and
{
userdict begin
/*charpath/charpath load def
/charpathflag false def
/charpath
{
userdict/charpathflag true put
userdict/*charpath get exec
userdict/charpathflag false put
}bind def
end
}if
/endstring 0 def
/mystring 0 def
userdict/checkload
{
{
pop exec
}{
save
3 dict begin
/mystring 6050 string def
exch
/endstring exch def
{
currentfile mystring readline not
{stop}if
endstring eq
{exit}if
}loop
end
restore
pop
}ifelse
}bind
put
type42known not downloadOK and{userdict/TrueDict known{TrueDict/initer known not}
{true userdict begin/TrueDict 8 dict dup /version 28 put def end}ifelse}{false}ifelse{currentfile eexec}exch( %endeexec)exch checkload
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cleartomark
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cleartomark
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dup 33 /exclam put
dup 34 /quotedbl put
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dup 36 /dollar put
dup 37 /percent put
dup 38 /ampersand put
dup 39 /quotesingle put
dup 40 /parenleft put
dup 41 /parenright put
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dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
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dup 193 /exclamdown put
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dup 219 /Euro put
dup 220 /guilsinglleft put
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dup 224 /daggerdbl put
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dup 226 /quotesinglbase put
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dup 228 /perthousand put
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dup 234 /Iacute put
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dup 242 /Uacute put
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dup 245 /dotlessi put
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dup 249 /breve put
dup 250 /dotaccent put
dup 251 /ring put
dup 252 /cedilla put
dup 253 /hungarumlaut put
dup 254 /ogonek put
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/emacron 271 def/Ebreve 272 def/ebreve 273 def/Edotaccent 274 def/edotaccent 275 def/Eogonek 276 def/eogonek 277 def/Ecaron 278 def

/ecaron 279 def/Gcircumflex 280 def/gcircumflex 281 def/Gdotaccent 282 def/gdotaccent 283 def/Gcedilla 284 def/gcedilla 285 def/gacute 286 def

/Hcircumflex 287 def/hcircumflex 288 def/Hbar 289 def/hbar 290 def/Itilde 291 def/itilde 292 def/Imacron 293 def/imacron 294 def

/Iogonek 295 def/iogonek 296 def/IJ 297 def/ij 298 def/Jcircumflex 299 def/jcircumflex 300 def/Kcedilla 301 def/kcedilla 302 def

/Lacute 303 def/lacute 304 def/Lcedilla 305 def/lcedilla 306 def/Lcaron 307 def/lcaron 308 def/Ldotaccent 309 def/ldotaccent 310 def

/Nacute 311 def/nacute 312 def/Ncedilla 313 def/ncedilla 314 def/Ncaron 315 def/ncaron 316 def/ncommaaccent 317 def/Omacron 318 def

/omacron 319 def/Obreve 320 def/obreve 321 def/Ohungarumlaut 322 def/ohungarumlaut 323 def/Racute 324 def/racute 325 def/Rcedilla 326 def

/rcedilla 327 def/Rcaron 328 def/rcaron 329 def/Sacute 330 def/sacute 331 def/Scircumflex 332 def/scircumflex 333 def/Tcedilla 334 def

/tcedilla 335 def/Tcaron 336 def/tcaron 337 def/Tbar 338 def/tbar 339 def/Utilde 340 def/utilde 341 def/Umacron 342 def

/umacron 343 def/Ubreve 344 def/ubreve 345 def/Uring 346 def/uring 347 def/Uhungarumlaut 348 def/uhungarumlaut 349 def/Uogonek 350 def

/uogonek 351 def/Wcircumflex 352 def/wcircumflex 353 def/Ycircumflex 354 def/ycircumflex 355 def/Zacute 356 def/zacute 357 def/Zdotaccent 358 def

/zdotaccent 359 def/Scommaaccent 360 def/scommaaccent 361 def/Tcommaaccent 362 def/tcommaaccent 363 def/currency 364 def/gravecmb 365 def/acutecmb 366 def

/circumflexcmb 367 def/tildecmb 368 def/macroncmb 369 def/brevecmb 370 def/dotaccentcmb 371 def/dieresiscmb 372 def/ringcmb 373 def/hungarumlautcmb 374 def

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currentdict
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/ecaron 279 def/Gcircumflex 280 def/gcircumflex 281 def/Gdotaccent 282 def/gdotaccent 283 def/Gcedilla 284 def/gcedilla 285 def/gacute 286 def

/Hcircumflex 287 def/hcircumflex 288 def/Hbar 289 def/hbar 290 def/Itilde 291 def/itilde 292 def/Imacron 293 def/imacron 294 def

/Iogonek 295 def/iogonek 296 def/IJ 297 def/ij 298 def/Jcircumflex 299 def/jcircumflex 300 def/Kcedilla 301 def/kcedilla 302 def

/Lacute 303 def/lacute 304 def/Lcedilla 305 def/lcedilla 306 def/Lcaron 307 def/lcaron 308 def/Ldotaccent 309 def/ldotaccent 310 def

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/umacron 343 def/Ubreve 344 def/ubreve 345 def/Uring 346 def/uring 347 def/Uhungarumlaut 348 def/uhungarumlaut 349 def/Uogonek 350 def

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/zdotaccent 359 def/Scommaaccent 360 def/scommaaccent 361 def/Tcommaaccent 362 def/tcommaaccent 363 def/currency 364 def/gravecmb 365 def/acutecmb 366 def

/circumflexcmb 367 def/tildecmb 368 def/macroncmb 369 def/brevecmb 370 def/dotaccentcmb 371 def/dieresiscmb 372 def/ringcmb 373 def/hungarumlautcmb 374 def

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currentdict
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/.notdef 0 def/.null 1 def/nonmarkingreturn 2 def/space 3 def/exclam 4 def/numbersign 5 def/percent 6 def

/ampersand 7 def/parenleft 8 def/parenright 9 def/plus 10 def/comma 11 def/period 12 def/slash 13 def/zero 14 def

/one 15 def/two 16 def/three 17 def/four 18 def/five 19 def/six 20 def/seven 21 def/eight 22 def

/nine 23 def/colon 24 def/semicolon 25 def/less 26 def/equal 27 def/greater 28 def/question 29 def/bracketleft 30 def

/bracketright 31 def/underscore 32 def/braceleft 33 def/bar 34 def/braceright 35 def/degree 36 def/bullet 37 def/notequal 38 def

/infinity 39 def/plusminus 40 def/lessequal 41 def/greaterequal 42 def/mu 43 def/partialdiff 44 def/summation 45 def/product 46 def

/pi 47 def/integral 48 def/Omega 49 def/logicalnot 50 def/radical 51 def/florin 52 def/approxequal 53 def/Delta 54 def

/ellipsis 55 def/divide 56 def/lozenge 57 def/fraction 58 def/apple 59 def/minus 60 def/multiply 61 def/equivalence 62 def

/arrowdown 63 def/arrowleft 64 def/arrowright 65 def/arrowup 66 def/arrowboth 67 def/element 68 def/intersection 69 def/union 70 def

/integraltp 71 def/integralbt 72 def/Alpha 73 def/Beta 74 def/Gamma 75 def/Epsilon 76 def/Zeta 77 def/Eta 78 def

/Theta 79 def/Iota 80 def/Kappa 81 def/Lambda 82 def/Mu 83 def/Nu 84 def/Xi 85 def/Omicron 86 def

/Pi 87 def/Rho 88 def/Sigma 89 def/Tau 90 def/Upsilon 91 def/Phi 92 def/Chi 93 def/Psi 94 def

/alpha 95 def/beta 96 def/gamma 97 def/delta 98 def/zeta 99 def/eta 100 def/theta 101 def/iota 102 def

/kappa 103 def/lambda 104 def/nu 105 def/xi 106 def/omicron 107 def/rho 108 def/sigma 109 def/sigma1 110 def

/tau 111 def/upsilon 112 def/phi 113 def/chi 114 def/psi 115 def/omega 116 def/dotmath 117 def/minute 118 def

/second 119 def/heart 120 def/club 121 def/diamond 122 def/spade 123 def/proportional 124 def/radicalex 125 def/suchthat 126 def

/circleplus 127 def/circlemultiply 128 def/congruent 129 def/propersuperset 130 def/reflexsuperset 131 def/propersubset 132 def/reflexsubset 133 def/notsubset 134 def

/arrowdbldown 135 def/arrowdblleft 136 def/arrowdblright 137 def/arrowdblup 138 def/arrowdblboth 139 def/perpendicular 140 def/notelement 141 def/logicaland 142 def

/logicalor 143 def/angle 144 def/therefore 145 def/emptyset 146 def/integralex 147 def/aleph 148 def/bracketlefttp 149 def/bracketleftbt 150 def

/bracketrighttp 151 def/bracketrightbt 152 def/universal 153 def/existential 154 def/asteriskmath 155 def/angleright 156 def/angleleft 157 def/theta1 158 def

/omega1 159 def/phi1 160 def/epsilon 161 def/gradient 162 def/parenlefttp 163 def/parenleftbt 164 def/parenrighttp 165 def/parenrightbt 166 def

/weierstrass 167 def/bracelefttp 168 def/braceleftmid 169 def/braceleftbt 170 def/braceex 171 def/bracerighttp 172 def/bracerightmid 173 def/bracerightbt 174 def

/Upsilon1 175 def/arrowvertex 176 def/arrowhorizex 177 def/parenleftex 178 def/bracketleftex 179 def/parenrightex 180 def/bracketrightex 181 def/copyrightserif 182 def

/registerserif 183 def/trademarkserif 184 def/copyrightsans 185 def/registersans 186 def/trademarksans 187 def/Ifraktur 188 def/Rfraktur 189 def/similar 190 def

/carriagereturn 191 def/Euro 192 def/soliduslongoverlaycmb 193 def end readonly def
 %endsfnt

%beginsfntBC
truedictknown type42known not and ( %endsfntBC)exch fcheckload
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TrueDict begin sfnts save 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt cvi 0 72 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt cvi 3 -1 roll restore TrueState initer end
/BuildChar{exch begin Encoding 1 index get CharStrings dup 2 index known{exch}{exch pop /.notdef}ifelse get dup xcheck{currentdict systemdict begin begin exec end end}{exch pop TrueDict begin /bander load cvlit exch TrueState render end}ifelse end} bind def

 %endsfntBC

%beginsfntdef
truedictknown type42known or( %endsfntdef)exch fcheckload
currentdict dup/FontName get exch definefont pop
 %endsfntdef

%beginType1
truedictknown type42known or not( %endType1)exch fcheckload
/FontMatrix [1 2048 div 0 0 1 2048 div 0 0] def

/FontBBox{-342 -612 2177 1694}def
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/UniqueID 16#0049F368 def
currentdict
currentfile eexec

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dup 249 /breve put
dup 250 /dotaccent put
dup 251 /ring put
dup 252 /cedilla put
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/Ccaron 255 def/ccaron 256 def/dcroat 257 def/Amacron 258 def/amacron 259 def/Abreve 260 def/abreve 261 def/Aogonek 262 def

/aogonek 263 def/Ccircumflex 264 def/ccircumflex 265 def/Cdotaccent 266 def/cdotaccent 267 def/Dcaron 268 def/dcaron 269 def/Emacron 270 def

/emacron 271 def/Ebreve 272 def/ebreve 273 def/Edotaccent 274 def/edotaccent 275 def/Eogonek 276 def/eogonek 277 def/Ecaron 278 def

/ecaron 279 def/Gcircumflex 280 def/gcircumflex 281 def/Gdotaccent 282 def/gdotaccent 283 def/Gcedilla 284 def/gcedilla 285 def/gacute 286 def

/Hcircumflex 287 def/hcircumflex 288 def/Hbar 289 def/hbar 290 def/Itilde 291 def/itilde 292 def/Imacron 293 def/imacron 294 def

/Iogonek 295 def/iogonek 296 def/IJ 297 def/ij 298 def/Jcircumflex 299 def/jcircumflex 300 def/Kcedilla 301 def/kcedilla 302 def

/Lacute 303 def/lacute 304 def/Lcedilla 305 def/lcedilla 306 def/Lcaron 307 def/lcaron 308 def/Ldotaccent 309 def/ldotaccent 310 def

/Nacute 311 def/nacute 312 def/Ncedilla 313 def/ncedilla 314 def/Ncaron 315 def/ncaron 316 def/ncommaaccent 317 def/Omacron 318 def

/omacron 319 def/Obreve 320 def/obreve 321 def/Ohungarumlaut 322 def/ohungarumlaut 323 def/Racute 324 def/racute 325 def/Rcedilla 326 def

/rcedilla 327 def/Rcaron 328 def/rcaron 329 def/Sacute 330 def/sacute 331 def/Scircumflex 332 def/scircumflex 333 def/Tcedilla 334 def

/tcedilla 335 def/Tcaron 336 def/tcaron 337 def/Tbar 338 def/tbar 339 def/Utilde 340 def/utilde 341 def/Umacron 342 def

/umacron 343 def/Ubreve 344 def/ubreve 345 def/Uring 346 def/uring 347 def/Uhungarumlaut 348 def/uhungarumlaut 349 def/Uogonek 350 def

/uogonek 351 def/Wcircumflex 352 def/wcircumflex 353 def/Ycircumflex 354 def/ycircumflex 355 def/Zacute 356 def/zacute 357 def/Zdotaccent 358 def

/zdotaccent 359 def/Scommaaccent 360 def/scommaaccent 361 def/Tcommaaccent 362 def/tcommaaccent 363 def/currency 364 def/gravecmb 365 def/acutecmb 366 def

/circumflexcmb 367 def/tildecmb 368 def/macroncmb 369 def/brevecmb 370 def/dotaccentcmb 371 def/dieresiscmb 372 def/ringcmb 373 def/hungarumlautcmb 374 def

/caroncmb 375 def/commaaccent 376 def/cedillacmb 377 def/ogonekcmb 378 def/soliduslongoverlaycmb 379 def/Omegagreek 380 def end readonly def
 %endsfnt

%beginsfntBC
truedictknown type42known not and ( %endsfntBC)exch fcheckload
/TrueState 271 string def
TrueDict begin sfnts save 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt cvi 0 72 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt cvi 3 -1 roll restore TrueState initer end
/BuildChar{exch begin Encoding 1 index get CharStrings dup 2 index known{exch}{exch pop /.notdef}ifelse get dup xcheck{currentdict systemdict begin begin exec end end}{exch pop TrueDict begin /bander load cvlit exch TrueState render end}ifelse end} bind def

 %endsfntBC

%beginsfntdef
truedictknown type42known or( %endsfntdef)exch fcheckload
currentdict dup/FontName get exch definefont pop
 %endsfntdef

%beginType1
truedictknown type42known or not( %endType1)exch fcheckload
/FontMatrix [1 2048 div 0 0 1 2048 div 0 0] def

/FontBBox{-349 -845 2074 1959}def
/FontType 1 def
/UniqueID 16#0040617F def
currentdict
currentfile eexec

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dup 250 /dotaccent put
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/.notdef 0 def/.null 1 def/nonmarkingreturn 2 def/space 3 def/exclam 4 def/quotedbl 5 def/numbersign 6 def

/dollar 7 def/percent 8 def/ampersand 9 def/quotesingle 10 def/parenleft 11 def/parenright 12 def/asterisk 13 def/plus 14 def

/comma 15 def/hyphen 16 def/period 17 def/slash 18 def/zero 19 def/one 20 def/two 21 def/three 22 def

/four 23 def/five 24 def/six 25 def/seven 26 def/eight 27 def/nine 28 def/colon 29 def/semicolon 30 def

/less 31 def/equal 32 def/greater 33 def/question 34 def/at 35 def/A 36 def/B 37 def/C 38 def

/D 39 def/E 40 def/F 41 def/G 42 def/H 43 def/I 44 def/J 45 def/K 46 def

/L 47 def/M 48 def/N 49 def/O 50 def/P 51 def/Q 52 def/R 53 def/S 54 def

/T 55 def/U 56 def/V 57 def/W 58 def/X 59 def/Y 60 def/Z 61 def/bracketleft 62 def

/backslash 63 def/bracketright 64 def/asciicircum 65 def/underscore 66 def/grave 67 def/a 68 def/b 69 def/c 70 def

/d 71 def/e 72 def/f 73 def/g 74 def/h 75 def/i 76 def/j 77 def/k 78 def

/l 79 def/m 80 def/n 81 def/o 82 def/p 83 def/q 84 def/r 85 def/s 86 def

/t 87 def/u 88 def/v 89 def/w 90 def/x 91 def/y 92 def/z 93 def/braceleft 94 def

/bar 95 def/braceright 96 def/asciitilde 97 def/Adieresis 98 def/Aring 99 def/Ccedilla 100 def/Eacute 101 def/Ntilde 102 def

/Odieresis 103 def/Udieresis 104 def/aacute 105 def/agrave 106 def/acircumflex 107 def/adieresis 108 def/atilde 109 def/aring 110 def

/ccedilla 111 def/eacute 112 def/egrave 113 def/ecircumflex 114 def/edieresis 115 def/iacute 116 def/igrave 117 def/icircumflex 118 def

/idieresis 119 def/ntilde 120 def/oacute 121 def/ograve 122 def/ocircumflex 123 def/odieresis 124 def/otilde 125 def/uacute 126 def

/ugrave 127 def/ucircumflex 128 def/udieresis 129 def/dagger 130 def/degree 131 def/cent 132 def/sterling 133 def/section 134 def

/bullet 135 def/paragraph 136 def/germandbls 137 def/registered 138 def/copyright 139 def/trademark 140 def/acute 141 def/dieresis 142 def

/notequal 143 def/AE 144 def/Oslash 145 def/infinity 146 def/plusminus 147 def/lessequal 148 def/greaterequal 149 def/yen 150 def

/mu 151 def/partialdiff 152 def/summation 153 def/product 154 def/pi 155 def/integral 156 def/ordfeminine 157 def/ordmasculine 158 def

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/approxequal 167 def/Delta 168 def/guillemotleft 169 def/guillemotright 170 def/ellipsis 171 def/nobreakspace 172 def/Agrave 173 def/Atilde 174 def

/Otilde 175 def/OE 176 def/oe 177 def/endash 178 def/emdash 179 def/quotedblleft 180 def/quotedblright 181 def/quoteleft 182 def

/quoteright 183 def/divide 184 def/lozenge 185 def/ydieresis 186 def/Ydieresis 187 def/fraction 188 def/Euro 189 def/guilsinglleft 190 def

/guilsinglright 191 def/fi 192 def/fl 193 def/daggerdbl 194 def/periodcentered 195 def/quotesinglbase 196 def/quotedblbase 197 def/perthousand 198 def

/Acircumflex 199 def/Ecircumflex 200 def/Aacute 201 def/Edieresis 202 def/Egrave 203 def/Iacute 204 def/Icircumflex 205 def/Idieresis 206 def

/Igrave 207 def/Oacute 208 def/Ocircumflex 209 def/apple 210 def/Ograve 211 def/Uacute 212 def/Ucircumflex 213 def/Ugrave 214 def

/dotlessi 215 def/circumflex 216 def/tilde 217 def/macron 218 def/breve 219 def/dotaccent 220 def/ring 221 def/cedilla 222 def

/hungarumlaut 223 def/ogonek 224 def/caron 225 def/Lslash 226 def/lslash 227 def/Scaron 228 def/scaron 229 def/Zcaron 230 def

/zcaron 231 def/brokenbar 232 def/Eth 233 def/eth 234 def/Yacute 235 def/yacute 236 def/Thorn 237 def/thorn 238 def

/minus 239 def/multiply 240 def/onesuperior 241 def/twosuperior 242 def/threesuperior 243 def/onehalf 244 def/onequarter 245 def/threequarters 246 def

/franc 247 def/Gbreve 248 def/gbreve 249 def/Idotaccent 250 def/Scedilla 251 def/scedilla 252 def/Cacute 253 def/cacute 254 def

/Ccaron 255 def/ccaron 256 def/dcroat 257 def/Amacron 258 def/amacron 259 def/Abreve 260 def/abreve 261 def/Aogonek 262 def

/aogonek 263 def/Ccircumflex 264 def/ccircumflex 265 def/Cdotaccent 266 def/cdotaccent 267 def/Dcaron 268 def/dcaron 269 def/Emacron 270 def

/emacron 271 def/Ebreve 272 def/ebreve 273 def/Edotaccent 274 def/edotaccent 275 def/Eogonek 276 def/eogonek 277 def/Ecaron 278 def

/ecaron 279 def/Gcircumflex 280 def/gcircumflex 281 def/Gdotaccent 282 def/gdotaccent 283 def/Gcedilla 284 def/gcedilla 285 def/gacute 286 def

/Hcircumflex 287 def/hcircumflex 288 def/Hbar 289 def/hbar 290 def/Itilde 291 def/itilde 292 def/Imacron 293 def/imacron 294 def

/Iogonek 295 def/iogonek 296 def/IJ 297 def/ij 298 def/Jcircumflex 299 def/jcircumflex 300 def/Kcedilla 301 def/kcedilla 302 def

/Lacute 303 def/lacute 304 def/Lcedilla 305 def/lcedilla 306 def/Lcaron 307 def/lcaron 308 def/Ldotaccent 309 def/ldotaccent 310 def

/Nacute 311 def/nacute 312 def/Ncedilla 313 def/ncedilla 314 def/Ncaron 315 def/ncaron 316 def/ncommaaccent 317 def/Omacron 318 def

/omacron 319 def/Obreve 320 def/obreve 321 def/Ohungarumlaut 322 def/ohungarumlaut 323 def/Racute 324 def/racute 325 def/Rcedilla 326 def

/rcedilla 327 def/Rcaron 328 def/rcaron 329 def/Sacute 330 def/sacute 331 def/Scircumflex 332 def/scircumflex 333 def/Tcedilla 334 def

/tcedilla 335 def/Tcaron 336 def/tcaron 337 def/Tbar 338 def/tbar 339 def/Utilde 340 def/utilde 341 def/Umacron 342 def

/umacron 343 def/Ubreve 344 def/ubreve 345 def/Uring 346 def/uring 347 def/Uhungarumlaut 348 def/uhungarumlaut 349 def/Uogonek 350 def

/uogonek 351 def/Wcircumflex 352 def/wcircumflex 353 def/Ycircumflex 354 def/ycircumflex 355 def/Zacute 356 def/zacute 357 def/Zdotaccent 358 def

/zdotaccent 359 def/Scommaaccent 360 def/scommaaccent 361 def/Tcommaaccent 362 def/tcommaaccent 363 def/currency 364 def/gravecmb 365 def/acutecmb 366 def

/circumflexcmb 367 def/tildecmb 368 def/macroncmb 369 def/brevecmb 370 def/dotaccentcmb 371 def/dieresiscmb 372 def/ringcmb 373 def/hungarumlautcmb 374 def

/caroncmb 375 def/commaaccent 376 def/cedillacmb 377 def/ogonekcmb 378 def/soliduslongoverlaycmb 379 def/Omegagreek 380 def end readonly def
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truedictknown type42known not and ( %endsfntBC)exch fcheckload
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/BuildChar{exch begin Encoding 1 index get CharStrings dup 2 index known{exch}{exch pop /.notdef}ifelse get dup xcheck{currentdict systemdict begin begin exec end end}{exch pop TrueDict begin /bander load cvlit exch TrueState render end}ifelse end} bind def

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truedictknown type42known or( %endsfntdef)exch fcheckload
currentdict dup/FontName get exch definefont pop
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currentdict
currentfile eexec

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fm_g 0 0 10 0 360 arc fm_t 36{1 0 moveto 0 0 10 -2.5 2.5 arc fm_f 10 rotate}
repeat FmR}FmBD/FmSL{FmG fmAn translate .25 fmLn setlinewidth 0 setlinecap 0
setlinejoin newpath 1 fm_g 0 0 10 0 360 arc fm_f 0 fm_g 10 .5 fmLn neg .1{0 0 3
-1 roll 0 360 arc fm_t}for FmR}FmBD/fMCP 0 def/fMC 1 def/fMM 2 def/fMY 3 def
/fMK 4 def/fMS 5 def/fMN 6 def/fMNg 0 currenttransfer exec .5 gt def/fMib fMCP
def/fMJK 0 def/fMJY 0 def/fMJM 0 def/fMJC 0 def/fMJR 1 def/fMJG 1 def/fMJB 1
def/fMPG 0 def/fMTV 1 def/fMPt null def/fMCK[0 0 0 1(Black)0 0 0]def/fmCH{fML1{
14 dict dup begin fMCE{/HalftoneType 2 def currentcolorscreen[/GraySpotFunction
/GrayAngle/GrayFrequency/BlueSpotFunction/BlueAngle/BlueFrequency
/GreenSpotFunction/GreenAngle/GreenFrequency/RedSpotFunction/RedAngle
/RedFrequency]{exch def}forall}{/HalftoneType 1 def currentscreen[/SpotFunction
/Angle/Frequency]{exch def}forall}ifelse statusdict/checkscreen known{
statusdict/accuratescreens get exec}{F}ifelse/AccurateScreens exch def end}{
currenthalftone}ifelse}FmBD/fmSH{fML1 fMeb fMCP ne or{begin statusdict
/checkscreen known{currentdict/AccurateScreens known{AccurateScreens}{F}ifelse
statusdict/setaccuratescreens get exec}if HalftoneType 1 eq{Frequency Angle
/SpotFunction load setscreen}{HalftoneType 2 eq{fMeb fMCP eq fMCE and{
RedFrequency RedAngle/RedSpotFunction load GreenFrequency GreenAngle
/GreenSpotFunction load BlueFrequency BlueAngle/BlueSpotFunction load
GrayFrequency GrayAngle/GraySpotFunction load setcolorscreen}{fMeb fMC eq{
RedFrequency RedAngle/RedSpotFunction load}{fMeb fMM eq{GreenFrequency
GreenAngle/GreenSpotFunction load}{fMeb fMY eq{BlueFrequency BlueAngle
/BlueSpotFunction load}{fMeb fMY eq currentdict/BlackFrequency known and{
BlackFrequency BlackAngle/BlackSpotFunction load}{GrayFrequency GrayAngle
/GraySpotFunction load}ifelse}ifelse}ifelse}ifelse setscreen}ifelse}if}ifelse
end}{sethalftone}ifelse}FmBD/FmCS{17 dict begin/HalftoneType 2 def
/AccurateScreens exch def/GraySpotFunction exch def/GrayAngle exch def
/GrayFrequency exch def/BlackSpotFunction exch def/BlackAngle exch def
/BlackFrequency exch def/BlueSpotFunction exch def/BlueAngle exch def
/BlueFrequency exch def/GreenSpotFunction exch def/GreenAngle exch def
/GreenFrequency exch def/RedSpotFunction exch def/RedAngle exch def
/RedFrequency exch def currentdict dup end/fMPH exch def fmSH}FmBD/FmSS{5 dict
begin/HalftoneType 1 def/AccurateScreens exch def/SpotFunction exch def/Angle
exch def/Frequency exch def currentdict dup end/fMPH exch def fmSH}FmBD/fMPH
fmCH def/fmcp{cvlit exch cvlit exch 2 copy length exch length add array dup 0 4
index putinterval dup 3 index length 3 index putinterval 3 1 roll pop pop cvx}
FmBD/fmEp{sub dup 0 lt{neg}if .001 le}FmBD/fmQC{2 copy 0 get exch 0 get fmEp{2
copy 1 get exch 1 get fmEp{2 copy 2 get exch 2 get fmEp{3 get exch 3 get fmEp}{
pop pop F}ifelse}{pop pop F}ifelse}{pop pop F}ifelse}FmBD/fmQR{2 copy 5 get
exch 0 get fmEp{2 copy 6 get exch 1 get fmEp{7 get exch 2 get fmEp}{pop pop F}
ifelse}{pop pop F}ifelse}FmBD/FmSC{/fMib fMS def/fMJB fmXD/fMJG fmXD/fMJR fmXD
/fMCN fmXD/fMJK fmXD/fMJY fmXD/fMJM fmXD/fMJC fmXD}FmBD/FmSP{/fMib fmXD fmGb
fmCC}FmBD/fMSC 1 dict def/FrameSetSpotColors{dict FrameMacDict/fMSC 3 -1 roll
put}fmBi def/FrameSpot{FrameMacDict/fMSC get exch dup 4 get exch put}fmBi def
/fMGM T def/fm4q{4{4 index eq 8 1 roll}repeat pop pop pop pop and and and}FmBD
/fmGb{/fMeb fMCP def/fMcu/setcustomcolor where{pop T}{F}ifelse def/fMsg
/setseparationgray where{pop T}{F}ifelse def/setcmykcolor where{/fMSD T def
/setcmykcolor get dup/fm_x fmXD/fmSK fmXD}{/fMSD F def/fmSK{4 1 roll 3{3 index
add 0 fmax 1 fmin 1 exch sub 3 1 roll}repeat fm_r pop}FmBD}ifelse fMSD{fMcu{0
fm_sx exec 1 fm_sx exec eq{/fMeb fMN store}{/fm_x where{pop 1 0 0 0 fm_x fm_sc
0 1 0 0 fm_x fm_sc 0 0 1 0 fm_x fm_sc 0 0 0 1 fm_x fm_sc 4{4 copy}repeat 0 1 1
1 fm4q{/fMeb fMC store}if 1 0 1 1 fm4q{/fMeb fMM store}if 1 1 0 1 fm4q{/fMeb
fMY store}if 1 1 1 0 fm4q{/fMeb fMK store}if 1 1 1 1 fm4q{/fMeb fMN store}if}if
}ifelse}if}if}FmBD/fmCC{/fMND F def/fMCT fMTV 1 fMPG sub mul def fMib fMCP eq{
fMGM fML1 or not{fMeb fMCP eq{fMAB not{[/Pattern[/DeviceCMYK]]setcolorspace
fMCK 0 4 getinterval aload pop fMCT 1 lt{4{fMCT mul 4 1 roll}repeat}if}{[
/Pattern[/DeviceRGB]]setcolorspace fMCK 5 3 getinterval aload pop fMCT 1 lt{3{1
exch sub fMCT mul 1 exch sub 3 1 roll}repeat}if}ifelse}{fMcu fMCS and{fMCK 0 5
getinterval aload pop findcmykcustomcolor fMCT setcustomcolor}{0 1 3{fMCK exch
get fMCT mul}for fm_x}ifelse currentgray[/Pattern[/DeviceGray]]setcolorspace}
ifelse fMPt setcolor}{fMsg fMCR and{1 fMCT sub setseparationgray}{fMcu fMCS and
{fMCK 0 5 getinterval aload pop findcmykcustomcolor fMCT setcustomcolor}{fMAB
not fMSD and{0 1 3{fMCK exch get fMCT mul}for fm_x}{5 1 7{fMCK exch get 1 exch
sub fMCT mul 1 exch sub}for fm_r}ifelse}ifelse}ifelse}ifelse}{fMGM fML1 or not{
[/Pattern[/DeviceGray]]setcolorspace 1 fMCT sub fMPt setcolor}{1 fMCT sub fm_g}
ifelse}ifelse}FmBD/K{fMCK astore pop/fMCS T def/fMCR F def/fMTV exch def fmCC}
FmBD/H{0 0 0 1(Black)0 0 0 fMCK astore pop/fMCS F def/fMCR T def/fMTV exch def
fmCC}FmBD/fMCS F def/fMCR F def/fmPK{fMCK astore pop/fMCS F def/fMCR F def/fMTV
exch def fmCC}FmBD/FmCC{1 0 0 0(Cyan)0 1 1 fmPK}FmBD/FmCM{0 1 0 0(Magenta)1 0 1
fmPK}FmBD/FmCY{0 0 1 0(Yellow)1 1 0 fmPK}FmBD/FmCK{0 0 0 1(Black)0 0 0 fmPK}
FmBD/G{FmCK}FmBD/B{1 G}FmBD/FmOP/setoverprint where{pop/setoverprint}{/pop}
ifelse load def fML1{/patScreenDict 7 dict dup begin<0f1e3c78f0e1c387>[45{pop}{
exch pop}.5 2 sqrt]FmBD<0f87c3e1f0783c1e>[135{pop}{exch pop}.5 2 sqrt]FmBD<cccc
cccccccccccc>[0{pop}dup .5 2]FmBD<ffff0000ffff0000>[90{pop}dup .5 2]FmBD<814224
1818244281>[45{2 copy lt{exch}if pop}dup .75 2 sqrt]FmBD<0102040810204080>[45{
pop}{exch pop}.875 2 sqrt]FmBD<8040201008040201>[135{pop}{exch pop}.875 2 sqrt]
FmBD end def}{/fMPP 5 dict dup begin<0f87c3e1f0783c1e>{3 setlinewidth -1 -1
moveto 9 9 lineto fm_t 4 -4 moveto 12 4 lineto fm_t -4 4 moveto 4 12 lineto
fm_t}FmBD<0f1e3c78f0e1c387>{3 setlinewidth -1 9 moveto 9 -1 lineto fm_t -4 4
moveto 4 -4 lineto fm_t 4 12 moveto 12 4 lineto fm_t}FmBD<8142241818244281>{1
setlinewidth -1 9 moveto 9 -1 lineto fm_t -1 -1 moveto 9 9 lineto fm_t}FmBD<80
40201008040201>{1 setlinewidth -1 -1 moveto 9 9 lineto fm_t 4 -4 moveto 12 4
lineto fm_t -4 4 moveto 4 12 lineto fm_t}FmBD<0102040810204080>{1 setlinewidth
-1 9 moveto 9 -1 lineto fm_t -4 4 moveto 4 -4 lineto fm_t 4 12 moveto 12 4
lineto fm_t}FmBD end def/fMPD 15 dict dup begin/PatternType 1 def/PaintType 2
def/TilingType 3 def/BBox[0 0 8 8]def/XStep 8 def/YStep 8 def/PaintProc{begin
fMPP fmBS known{fMPP fmBS get exec}{8 8 T[1 0 0 -1 0 8]fmBS fm_m}ifelse end}
FmBD end def}ifelse/fMdp 72 0 fMdm defaultmatrix dtransform dup mul exch dup
mul add sqrt def/freq fMdp dup 72 div round dup 0 eq{pop 1}if 8 mul div def
/sangle 1 0 fMdm defaultmatrix dtransform exch atan def sangle fMa2 rotate fMdm
defaultmatrix fMa2 concatmatrix dup 0 get/sflipx exch def 3 get/sflipy exch def
fML1{/fmgF{fMa2 exch get mul 0 lt{-1}{1}ifelse}FmBD}if/fmPM fML1{{dup
patScreenDict exch known{patScreenDict exch get aload pop freq mul 5 2 roll
fMa2 currentmatrix 1 get 0 ne{3 -1 roll 90 add 3 1 roll sflipx 1 fmgF sflipy 2
fmgF mul}{sflipx 0 fmgF sflipy 3 fmgF neg mul}ifelse 0 lt{exch pop}{pop}ifelse
fMNg{{neg}fmcp}if bind systemdict/setscreen get exec}{/fmBS fmXD/fM1B 0 def
/fM0B 0 def freq 0 fMa2 currentmatrix 1 get 0 ne{90 add/pflipx sflipx 1 fmgF
def/pflipy sflipy 2 fmgF def}{/pflipx sflipx 0 fmgF def/pflipy sflipy 3 fmgF
neg def}ifelse{pflipy mul/yy fmXD pflipx mul/xx fmXD/xindex xx 1 add 2 div 8
mul cvi def/yindex yy 1 add 2 div 8 mul cvi def fmBS yindex xindex 8 idiv add
get 1 7 xindex 8 mod sub bitshift and 0 ne fMNg{not}if{/fM1B fM1B 1 add def 1}{
/fM0B fM0B 1 add def 0}ifelse}setscreen fM0B fM0B fM1B add div fMNg{1.0 exch
sub}if}ifelse/fMPG exch def/fMGM F def fmCC}}{/fMPC 8 dict def{dup fMPC exch
known{fMPC exch get}{dup fMPD/fmBS 3 -1 roll put fMPD matrix makepattern dup
fMPC 4 -1 roll 3 -1 roll put}ifelse/fMPt exch def/fMPG 0 def/fMGM F def fmCC}}
ifelse FmBD/fmgr{fMGM not{/fMGM T def fML1{fMPH fmSH}if}if/fMPG exch def fmCC}
FmBD/FmP{FrameFillPatternsArray exch get dup type/stringtype eq{fmPM}{fmgr}
ifelse}FmBD/fMEd 40 dict def/fmPE{fMEd 3 1 roll fmBi put}bind def/fmgS 32 array
def/fMgt 0 def/fMtp 0 def/fmSG{fmgS fMgt get dup null eq{pop fmgS fMgt 10 dict
dup 4 1 roll put}if 3 1 roll put}FmBD/fmGG{fMgt -1 -1{fmgS exch get dup null ne
{2 copy exch known{2 copy exch get/_notdef ne{exch get dup exit}if}if}if pop}
for pop}FmBD/gsave{FrameMacDict begin FmG/fMgt fMgt 1 add def fmgS fMgt get dup
null eq{pop}{dup dup{pop/_notdef put dup}forall pop pop}ifelse end}fmPE
/grestore{FrameMacDict begin fMgt fMtp gt{/fMgt fMgt 1 sub def}if FmR null fmCN
end}fmPE/grestoreall{FrameMacDict begin/fMgt fMtp def fm_l null fmCN end}fmPE
/save{FrameMacDict/fm_v get exec FrameMacDict begin/fMgt fMgt 1 add def fmgS
fMgt get dup null eq{pop}{dup dup{pop/_notdef put dup}forall pop pop}ifelse
/fMtp fMgt def end}fmPE/fMND F def/fMCC null fmSG/fMOP F fmSG/fMKO F fmSG/fmRY{
1 exch sub 3 1 roll 1 exch sub 3 1 roll 1 exch sub 3 1 roll 3 copy 2 copy le{
pop}{exch pop}ifelse 2 copy le{pop}{exch pop}ifelse dup dup dup 6 1 roll 4 1
roll 7 1 roll sub 6 1 roll sub 5 1 roll sub 4 1 roll}fmSG userdict/fM7 known
not{userdict/FrameSuccessfull F put userdict/FrameEndPictStopped F put userdict
/fM7 0 put}if/fmLC{fMSC{exch pop exch dup 3 -1 roll fmQC{pop T exit}if}forall
dup T ne{pop F}if}FmBD/fmLR{fMSC{exch pop exch dup 3 -1 roll fmQR{pop T exit}if
}forall dup T ne{pop F}if}FmBD/fmLM{fMSC exch known}FmBD/fmCN{fMND F fMib fMCP
ne{/fMOP fmGG{/fMKO fmGG{pop T}if}if}if dup/fMND exch def{pop pop}{exch dup
null ne{exch pop dup type dup/integertype eq exch/realtype eq or{fm_g}{setcolor
}ifelse}{pop{1 fm_g}if}ifelse}ifelse}FmBD/findcmykcustomcolor{0 0 0 8 array
astore}fmPE/findrgbcustomcolor{FrameMacDict begin 4 1 roll 3 copy/fmRY fmGG
exec 8 4 roll 8 array astore end}fmPE/findgraycustomcolor{0 0 0 exch 1 exch sub
exch findcmykcustomcolor}fmPE/findhsbcustomcolor{FrameMacDict begin 4 1 roll
gsave fm_h currentrgbcolor grestore 4 -1 roll findrgbcustomcolor end}fmPE
/setcustomcolor{FrameMacDict begin dup type dup/integertype eq exch/realtype eq
or not{1.0}if exch dup/fMCC exch fmSG dup 4 get dup fmLM{fMib fMS eq{fMCN eq{
pop}{pop pop 0}ifelse}{pop pop pop 0}ifelse}{pop fMib fMK eq{3 get mul}{fMib
fMY eq{2 get mul}{fMib fMM eq{1 get mul}{fMib fMC eq{0 get mul}{pop pop 0}
ifelse}ifelse}ifelse}ifelse}ifelse dup 0 le/fMKO exch fmSG 1 exch sub fmCN end}
fmPE/setoverprint{FrameMacDict begin dup FmOP/fMOP exch fmSG null fmCN end}fmPE
/currentoverprint{FrameMacDict begin/fMOP fmGG end}fmPE/setrgbtocmyk{
FrameMacDict begin/fmRY exch fmSG null fmCN end}fmPE/currentrgbtocmyk{
FrameMacDict begin/fmRY fmGG end}fmPE/fill{FrameMacDict begin fMND{newpath}{
fm_f}ifelse end}fmPE/eofill{FrameMacDict begin fMND{newpath}{fm_e}ifelse end}
fmPE/stroke{FrameMacDict begin fMND{newpath}{fm_t}ifelse end}fmPE/fmNX{load
fMND{FmG fMa2 currentmatrix end nulldevice setmatrix exec currentpoint
FrameMacDict/FmR get exec moveto}{end exec}ifelse}fmBi def/show{FrameMacDict
begin/fm_s fmNX}fmPE/ashow{FrameMacDict begin/fm_a fmNX}fmPE/widthshow{
FrameMacDict begin/fm_w fmNX}fmPE/awidthshow{FrameMacDict begin/fm_y fmNX}fmPE
/kshow{FrameMacDict begin/RealKshow fmNX}fmPE/image{FrameMacDict begin dup type
/dicttype ne{fMib fMK eq{/fm_i load end exec}{FmG fmSW/fm_i load end exec
FrameMacDict begin FmR end}ifelse}{fML1{(image)errordict/typecheck get exec}{
dup begin ImageType 1 eq{currentcolorspace 0 get dup/DeviceGray eq{pop Decode 0
get 0 eq Decode 1 get 1 eq and{pop Width Height BitsPerComponent ImageMatrix
/DataSource load fMEd/image get end end exec}{end/fm_i load end exec}ifelse}{
dup/DeviceRGB eq exch/DeviceCMYK eq or{T 0 2 Decode length 2 sub{Decode exch
get 0 eq and}for 1 2 Decode length{Decode exch get 1 eq and}for{pop Width
Height BitsPerComponent ImageMatrix/DataSource load currentdict
/MultipleDataSources known{MultipleDataSources}{F}ifelse{aload pop T}{F}ifelse
Decode length 2 idiv fMEd/colorimage get end end exec}{end/fm_i load end exec}
ifelse}{end/fm_i load end exec}ifelse}ifelse}{end/fm_i load end exec}ifelse}
ifelse}ifelse}fmPE/separationimage{fm_i}fmPE
%% The definition of the /imagemask (up to version @@/main/28) used to simulate the definition
%% of /image. The structure of the code was the same, and both executed `nulldevice' for non-black
%% plates. (/image executed `nulldevice' via `fmSW' call).
%% This appears to be incorrect, because of the difference between `image' and `imagemask'
%% operators. While `image' operator always paints with black color, which is why the
%% definition of /image dicriminated between black and other colors plates, `imagemask'
%% operator paints with the current color. Therefore, the discrimination between black and
%% other colors plates in /imagemask definition, with sending non-black plates to `nulldevice'
%% seems to be wrong, and is eliminated in this version.
%%
%% itenenbo, cahaverl 07/02/98
%%
/imagemask{FrameMacDict begin dup type/dicttype ne{/fm_m load end exec}{/fm_m
load end exec}ifelse}fmPE/separationimagemask{fm_m}fmPE/colorimage{FrameMacDict
begin FmG dup 4 eq{fmIv pop{/fMP4 exch def/fMP3 exch def/fMP2 exch def/fMP1
exch def{fMP1 fMP2 fMP3 fMP4 fMib fm4b}fm_si}{/fMP1 exch def 1 index 8 ne{
(colorimage)errordict/rangecheck get exec}if/fMs 4 index string def/fMs2 4
index string def/fMs3 4 index string def/fMs4 4 index string def{fMP1 0 1 fMs
length 1 sub{2 copy 4 mul 4 getinterval forall fMs4 5 index 3 -1 roll put fMs3
4 index 3 -1 roll put fMs2 3 index 3 -1 roll put fMs 3 -1 roll put}for pop fMs
fMs2 fMs3 fMs4 fMib fm4b}fm_si}ifelse}{dup 3 eq{fmIv pop{/fMP3 exch def/fMP2
exch def/fMP1 exch def{fMP1 fMP2 fMP3 fMib fm3b}fm_si}{/fMP1 exch def 1 index 8
ne{(colorimage)errordict/rangecheck get exec}if/fMs 4 index string def/fMs2 4
index string def/fMs3 4 index string def{fMP1 0 1 fMs length 1 sub{2 copy 3 mul
3 getinterval forall fMs4 4 index 3 -1 roll put fMs3 3 index 3 -1 roll put fMs
3 -1 roll put}for pop fMs fMs2 fMs3 fMib fm3b}fm_si}ifelse}{1 eq{pop image}{
(colorimage)errordict/rangecheck get exec}ifelse}ifelse}ifelse FmR end}fmPE
/customcolorimage{FrameMacDict begin FmG setcustomcolor currentgray 0 gt{
currentgray 1 ge{/fMOP fmGG{nulldevice}{fMNg{{pop 0}}{{pop 1}}ifelse fm_su}
ifelse}{[1 currentgray sub/mul cvx]cvx currentransfer fmcp fm_su}ifelse}if/fm_i
get end exec FrameMacDict begin FmR end}fmPE/setgray{FrameMacDict begin fMib
fMK eq{F}{fMib fMS eq fMJR 0 eq and fMJG 0 eq and fMJB 0 eq and{F}{pop 1 T}
ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE/setseparationgray{FrameMacDict begin
/fMKO F fmSG null fmCN fm_sg end}fmPE/setrgbcolor{FrameMacDict begin 3 copy[4 1
roll]fmLR{fMib fMS eq{fMJB eq exch fMJG eq and exch fMJR eq and{0 F}{1 T}ifelse
}{pop pop pop 1 T}ifelse}{/fmRY fmGG exec fMib fMK eq{1.0 exch sub 4 1 roll pop
pop pop F}{fMib fMY eq{pop 1.0 exch sub 3 1 roll pop pop F}{fMib fMM eq{pop pop
1.0 exch sub exch pop F}{fMib fMC eq{pop pop pop 1.0 exch sub F}{pop pop pop
pop 1 T}ifelse}ifelse}ifelse}ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE
/sethsbcolor{FrameMacDict begin fm_h currentrgbcolor setrgbcolor end}fmPE
/currentcmykcolor where{pop}{/currentcmykcolor{FrameMacDict begin
currentrgbcolor/fmRY fmGG exec end}fmPE}ifelse/setcmykcolor{FrameMacDict begin
fMib fMK eq{1.0 exch sub 4 1 roll pop pop pop dup 1.0 ge}{fMib fMY eq{pop 1.0
exch sub 3 1 roll pop pop dup 1.0 ge}{fMib fMM eq{pop pop 1.0 exch sub exch pop
dup 1.0 ge}{fMib fMC eq{pop pop pop 1.0 exch sub dup 1.0 ge}{pop pop pop pop 1
T}ifelse}ifelse}ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE/setcmykoverprint{
FrameMacDict begin 4 copy[5 1 roll]fmLC{fMib fMS eq{0 fmax fMJK eq exch 0 fmax
fMJY eq and exch 0 fmax fMJM eq and exch 0 fmax fMJC eq and{0 F}{1 T}ifelse}{
pop pop pop pop 1 T}ifelse}{fMib fMK eq{1.0 exch sub 4 1 roll pop pop pop dup 1
fmin exch 1 gt}{fMib fMY eq{pop 1.0 exch sub 3 1 roll pop pop dup 1 fmin exch 1
gt}{fMib fMM eq{pop pop 1.0 exch sub exch pop dup 1 fmin exch 1 gt}{fMib fMC eq
{pop pop pop 1.0 exch sub dup 1 fmin exch 1 gt}{pop pop pop pop 1 T}ifelse}
ifelse}ifelse}ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE/setcmykcoloroverprint{
setcmykoverprint}fmPE/setcmybcolor{setcmykcolor}fmPE/FrameEr where{pop}{
userdict/FrameEr(\000)put}ifelse/fMSJ 100 string def/fmXC{FmE countdictstack
userdict begin/showpage{}def/FrameDictStackDepth exch def count/FrameStackDepth
exch def userdict/EndFrame5NestedPS dup FrameMacDict exch get put userdict
/FrameSuccessfull false put FrameMacDict/fMHq get/$brkpage where dup{exch pop}
if or{userdict/FrameEndPictStopped false put}{userdict/FrameEndPictStopped true
put currentfile cvx stopped pop FrameSuccessfull not{systemdict/clear get exec
userdict/FrameEr get 0 1 put FrameMacDict begin FmG systemdict/initmatrix get
exec 0 systemdict/setgray get exec clippath{pathbbox}stopped{100 100 512 692}if
exch pop add 2. div newpath moveto(Courier-BoldOblique)findfont 18 scalefont
setfont FrameEr1 fm_s( \()fm_s $error begin errorname 20 string cvs fm_s(, )
fm_s/command load 128 string cvs fm_s end(\))fm_s FrameEr2 print flush
FrameMacDict/fMSJ get{dup currentfile exch{readline}stopped{pop exch pop T}if
not{exit}if(EndFrame5NestedPS)eq{exit}if}loop grestore end}if userdict
/FrameSuccessfull false put userdict/FrameEndPictStopped false put FrameMacDict
/fmIR get exec}ifelse}fmBi def/FmEp{save userdict/fM7 3 -1 roll put exch fMeb
fMCP eq fMib fMCP ne and and{fMEd{userdict 3 1 roll put}forall}if FmOP[/fMef
/fMet/fMeh/fMew/fMey/fMex/fMei/fMej/fMek/fMel]{fmXD}forall fMex fMey translate
fMet rotate fMew fMeh scale fMef{-1 1 scale}if 1 fMej fMel sub div 1 fMek fMei
sub div scale fMej fMel add 2 div neg fMei fMek add 2 div neg translate 0
setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit[]0 setdash
newpath fML1 not{F setstrokeadjust}if fmXC}FmBD/FmPI{0 setgray 0 setlinecap 1
setlinewidth 0 setlinejoin 10 setmiterlimit[]0 setdash newpath newpath 0 0
moveto}FmBD/FmPc{save userdict/fM7 3 -1 roll put newpath 3 index neg 3 index
neg translate 1 -1 scale 0.0 0.0 moveto fmXC}FmBD/fmIR{end countdictstack
FrameDictStackDepth sub dup 0 gt{{end}repeat}{pop}ifelse count FrameStackDepth
sub dup 0 gt{{pop}repeat}{pop}ifelse fM7 restore FrameMacDict begin}fmBi def
/EndFrame5NestedPS{userdict/FrameEndPictStopped get{userdict/FrameSuccessfull
true put stop}{FrameMacDict/fmIR get exec}ifelse}fmBi def/alphaimage where{pop}
{userdict/alphaimage{1 ne{limitcheck}if not{limitcheck}if pop image}put}ifelse
/fmDE{systemdict/initgraphics get exec clippath{pathbbox}stopped{100 100 512
692}if exch pop add 2. div newpath moveto(Courier-BoldOblique)findfont 18
scalefont setfont currentpoint 2 copy FrameEr3 fm_s 20 sub 2 copy moveto
FrameEr4 fm_s 20 sub 2 copy moveto(\()fm_s statusdict/jobname get fm_s(\))fm_s
20 sub moveto FrameEr5 fm_s showpage}FmBD/cd where{dup/cd get/fmRC fmXD/cd{
FrameMacDict begin FrameEr 0 get 0 ne{fmDE}if/fmRC load end exec}fmBi put}{
/endp where{dup/endp get/fMRE fmXD/endp{FrameMacDict dup dup/FmU4 get exch/fMRE
get exec/FmU4 exch put FrameEr 0 get 0 ne{FrameMacDict begin currentfile fMSJ{
readline}stopped{pop exch pop true}if pop dup(%%Trailer)eq{pop fmDE}{cvx exec}
ifelse end}if}fmBi put}if}ifelse systemdict/setpacking known{fMSP setpacking}if
end
%%EndProcSet
/md where{pop countdictstack array dictstack true exch{md eq{pop false exit}if}
forall{md begin}if}if
%FRMSetup
FrameMacDict begin
/FrameEr1(PostScript error)def
/FrameEr2(A PostScript error occurred. FrameMaker+SGML is attempting recovery.)def
/FrameEr3(FrameMaker+SGML has detected one or more)def
/FrameEr4(PostScript errors in this document.)def
/FrameEr5(Please check your output.)def
/FrameFillPatternsArray [
  0 
  0.1 
  0.3 
  0.5 
  0.7 
  0.9 
  0.97 
  1 
  <0F1E3C78F0E1C387>
  <0F87C3E1F0783C1E>
  <CCCCCCCCCCCCCCCC>
  <FFFF0000FFFF0000>
  <8142241818244281>
  <0102040810204080>
  <8040201008040201>
] def
end
%%EndSetup
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endp
showpage
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( )S
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FmE
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( )S
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( )S
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( )S
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( )S
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( )S
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( )S
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( )S
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B
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( )S
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B
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( )S
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( )S
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( )S
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B
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( )S
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B
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( )S
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FmE
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( )S
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B
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( )S
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B
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FmE
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( )S
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B
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( )S
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( )S
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B
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FmE
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( )S
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( )S
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B
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FmE
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f59 sf
( )S
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B
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f148 sf
( )S
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B
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FmE
623 0 :M
f161 sf
( )S
625 0 :M
FrMacBegin
B
0 FmP
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95 370.533 M (k)S
FmE
625 0 :M
f59 sf
( )S
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B
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f148 sf
( )S
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FmE
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f161 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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B
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-0.4 N (.)S
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f148 sf
( )S
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FmE
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( )S
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FrMacBegin
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FmE
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( )S
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( )S
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( )S
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( )S
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FmE
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( )S
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FmE
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( )S
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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B
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FmE
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f161 sf
( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FmE
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( )S
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B
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FmE
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f161 sf
( )S
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FrMacBegin
B
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FmE
670 0 :M
f59 sf
( )S
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FrMacBegin
B
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54 412.533 M (4.)S
10.5 N (When )S
FmE
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f148 sf
( )S
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B
0 FmP
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FmE
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f161 sf
( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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-0.251 N (v)S
-0.151 N (es a )S
-0.901 N (YIELD\()S
FmE
680 0 :M
f148 sf
( )S
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B
0 FmP
F FmOP
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FmE
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f59 sf
( )S
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FrMacBegin
B
0 FmP
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FmE
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( )S
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FrMacBegin
B
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231.432 412.533 M (p)S
FmE
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f161 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
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-0.1 N (UEST\()S
FmE
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f148 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
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FmE
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f59 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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( )S
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FmE
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( )S
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FmE
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( )S
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FmE
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( )S
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B
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FmE
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( )S
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B
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72 426.366 M (site whose request is \336)S
(rst in the queue.)S
54 438.666 M (5.)S
10.5 N (When )S
FmE
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f148 sf
( )S
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FmE
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( )S
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B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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f148 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
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FmE
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( )S
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FrMacBegin
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FmE
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( )S
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FmE
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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f161 sf
( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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-0.251 N (v)S
-0.151 N (ed.)S
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FmE
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f148 sf
( )S
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FrMacBegin
B
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FmE
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f161 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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F FmOP
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-1.001 N (Y messages from all processes in )S
FmE
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( )S
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FrMacBegin
B
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F FmOP
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FmE
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( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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54 494.599 M (7.)S
10.5 N (When )S
FmE
775 0 :M
f148 sf
( )S
777 0 :M
FrMacBegin
B
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FmE
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f161 sf
( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
0 FmP
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-0.2 N (v)S
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
0 FmP
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FmE
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f148 sf
( )S
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FrMacBegin
B
0 FmP
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FmE
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f59 sf
( )S
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FrMacBegin
B
0 FmP
F FmOP
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FmE
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f148 sf
( )S
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FrMacBegin
B
0 FmP
F FmOP
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FmE
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f161 sf
( )S
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FrMacBegin
B
0 FmP
F FmOP
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FmE
798 0 :M
f59 sf
( )S
800 0 :M
FrMacBegin
B
0 FmP
F FmOP
372.665 494.599 M (.)S
FmE
endp
showpage
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FrMacBegin
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FmE
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54 42 FmB
468 0 FmL
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FmE
gR
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141.14 N (Page )S
(3)S
173.723 748 M (Last modified at )S
(7:03 pm on Tuesday, February 27, 2001)S
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( )S
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B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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FmE
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FmE
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FrMacBegin
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FmE
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FmE
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FmE
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FmE
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FmE
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FrMacBegin
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FmE
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FmE
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FmE
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FmE
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FrMacBegin
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FmE
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( )S
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FmE
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FmE
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FmE
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( )S
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B
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FmE
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f187 sf
( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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FmE
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f148 sf
( )S
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B
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FmE
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( )S
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B
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FmE
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f59 sf
( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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B
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FmE
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( )S
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B
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B
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FmE
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FmE
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f200 sf
( )S
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FrMacBegin
B
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FmE
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f230 sf
( )S
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FrMacBegin
B
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241.903 361 M (S)S
FmE
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( )S
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FrMacBegin
B
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FmE
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f200 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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f230 sf
( )S
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FrMacBegin
B
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FmE
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f243 sf
( )S
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FrMacBegin
B
0 FmP
F FmOP
247.462 413.333 M (8)S
FmE
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f200 sf
( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
0 FmP
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FmE
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f200 sf
( )S
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FrMacBegin
B
0 FmP
F FmOP
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-0.181 N (ocesses in )S
FmE
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f230 sf
( )S
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FrMacBegin
B
0 FmP
F FmOP
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FmE
929 0 :M
f243 sf
( )S
931 0 :M
FrMacBegin
B
0 FmP
F FmOP
252.462 463.166 M (11)S
FmE
931 0 :M
f200 sf
( )S
933 0 :M
FrMacBegin
B
0 FmP
F FmOP
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FmE
endp
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FrMacBegin
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FmE
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FrMacBegin
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B
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468 0 FmL
2 1 FmSo
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468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 576 776 rC
934 0 :M
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( )S
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FrMacBegin
B
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159.015 N (Page )S
(4)S
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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B
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FmE
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B
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FmE
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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f148 sf
( )S
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FrMacBegin
B
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FmE
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f161 sf
( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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B
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FmE
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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f161 sf
( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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FmE
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FrMacBegin
B
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( )S
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B
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( )S
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B
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( )S
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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( )S
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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( )S
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( )S
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FmE
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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FmE
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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B
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( )S
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( )S
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FrMacBegin
B
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FmE
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
0 FmP
F FmOP
263.901 334.266 M -0.333( sends a GRANT message to the \336)W
-0.333(rst process )W
FmE
1074 0 :M
f148 sf
( )S
1076 0 :M
FrMacBegin
B
0 FmP
F FmOP
443.898 334.266 M (p)S
FmE
1076 0 :M
f161 sf
( )S
1078 0 :M
FrMacBegin
B
0 FmP
F FmOP
448.898 336.766 M -0.267(f )W
FmE
1078 0 :M
f59 sf
( )S
1080 0 :M
FrMacBegin
B
0 FmP
F FmOP
452.854 334.266 M -0.333( in the queue and )W
90 348.1 M (deletes its entry from the queue. If )S
FmE
1081 0 :M
f148 sf
( )S
1083 0 :M
FrMacBegin
B
0 FmP
F FmOP
229.934 348.1 M (p)S
FmE
1083 0 :M
f161 sf
( )S
1085 0 :M
FrMacBegin
B
0 FmP
F FmOP
234.934 350.6 M (f)S
FmE
1085 0 :M
f59 sf
( )S
1087 0 :M
FrMacBegin
B
0 FmP
F FmOP
237.157 348.1 M ( )S
FmE
1088 0 :M
f120 sf
( )S
1090 0 :M
FrMacBegin
B
0 FmP
F FmOP
239.657 348.1 M (\316)S
FmE
1090 0 :M
f59 sf
( )S
1092 0 :M
FrMacBegin
B
0 FmP
F FmOP
246.786 348.1 M ( )S
FmE
1093 0 :M
f148 sf
( )S
1095 0 :M
FrMacBegin
B
0 FmP
F FmOP
249.286 348.1 M (ST)S
FmE
1095 0 :M
f161 sf
( )S
1097 0 :M
FrMacBegin
B
0 FmP
F FmOP
259.403 350.6 M (i)S
FmE
1097 0 :M
f59 sf
( )S
1099 0 :M
FrMacBegin
B
0 FmP
F FmOP
261.626 348.1 M (, then )S
FmE
1100 0 :M
f148 sf
( )S
1102 0 :M
FrMacBegin
B
0 FmP
F FmOP
286.343 348.1 M (CSST)S
-0.5 N (A)S
-0.371 N (T)S
FmE
1102 0 :M
f59 sf
( )S
1104 0 :M
FrMacBegin
B
0 FmP
F FmOP
319.368 348.1 M ( is set to indicate that )S
FmE
1105 0 :M
f148 sf
( )S
1107 0 :M
FrMacBegin
B
0 FmP
F FmOP
406.565 348.1 M (p)S
FmE
1107 0 :M
f161 sf
( )S
1109 0 :M
FrMacBegin
B
0 FmP
F FmOP
411.565 350.6 M (f)S
FmE
1109 0 :M
f59 sf
( )S
1111 0 :M
FrMacBegin
B
0 FmP
F FmOP
413.788 348.1 M ( is in the critical section.)S
54 362.233 M (3.)S
10.5 N (When )S
FmE
1112 0 :M
f148 sf
( )S
1114 0 :M
FrMacBegin
B
0 FmP
F FmOP
98.377 362.233 M (p)S
FmE
1114 0 :M
f161 sf
( )S
1116 0 :M
FrMacBegin
B
0 FmP
F FmOP
103.377 364.733 M (i)S
FmE
1116 0 :M
f59 sf
( )S
1118 0 :M
FrMacBegin
B
0 FmP
F FmOP
105.6 362.233 M ( has recei)S
-0.251 N (v)S
-0.151 N (ed GRANT messages from all processes in )S
FmE
1119 0 :M
f148 sf
( )S
1121 0 :M
FrMacBegin
B
0 FmP
F FmOP
322.599 362.233 M (R)S
FmE
1121 0 :M
f161 sf
( )S
1123 0 :M
FrMacBegin
B
0 FmP
F FmOP
328.708 364.733 M (i)S
FmE
1123 0 :M
f59 sf
( )S
1125 0 :M
FrMacBegin
B
0 FmP
F FmOP
330.93 362.233 M (, )S
FmE
1126 0 :M
f148 sf
( )S
1128 0 :M
FrMacBegin
B
0 FmP
F FmOP
335.93 362.233 M (p)S
FmE
1128 0 :M
f161 sf
( )S
1130 0 :M
FrMacBegin
B
0 FmP
F FmOP
340.93 364.733 M (i)S
FmE
1130 0 :M
f59 sf
( )S
1132 0 :M
FrMacBegin
B
0 FmP
F FmOP
343.153 362.233 M ( enters the critical section.)S
54 376.366 M (4.)S
10.5 N (When )S
FmE
1133 0 :M
f148 sf
( )S
1135 0 :M
FrMacBegin
B
0 FmP
F FmOP
98.377 376.366 M (p)S
FmE
1135 0 :M
f161 sf
( )S
1137 0 :M
FrMacBegin
B
0 FmP
F FmOP
103.377 378.866 M (i)S
FmE
1137 0 :M
f59 sf
( )S
1139 0 :M
FrMacBegin
B
0 FmP
F FmOP
105.6 376.366 M ( lea)S
-0.2 N (v)S
-0.151 N (es the critical section, )S
FmE
1140 0 :M
f148 sf
( )S
1142 0 :M
FrMacBegin
B
0 FmP
F FmOP
213.527 376.366 M (p)S
FmE
1142 0 :M
f161 sf
( )S
1144 0 :M
FrMacBegin
B
0 FmP
F FmOP
218.527 378.866 M (i)S
FmE
1144 0 :M
f59 sf
( )S
1146 0 :M
FrMacBegin
B
0 FmP
F FmOP
220.75 376.366 M ( sends a RELEASE message to e)S
-0.251 N (v)S
-0.151 N (ery site in )S
FmE
1147 0 :M
f148 sf
( )S
1149 0 :M
FrMacBegin
B
0 FmP
F FmOP
398.901 376.366 M (I)S
FmE
1149 0 :M
f161 sf
( )S
1151 0 :M
FrMacBegin
B
0 FmP
F FmOP
402.229 378.866 M (i)S
FmE
1151 0 :M
f59 sf
( )S
1153 0 :M
FrMacBegin
B
0 FmP
F FmOP
404.452 376.366 M (.)S
54 390.499 M (5.)S
10.5 N (When )S
FmE
1154 0 :M
f148 sf
( )S
1156 0 :M
FrMacBegin
B
0 FmP
F FmOP
98.377 390.499 M (p)S
FmE
1156 0 :M
f161 sf
( )S
1158 0 :M
FrMacBegin
B
0 FmP
F FmOP
103.377 392.999 M (i)S
FmE
1158 0 :M
f59 sf
( )S
1160 0 :M
FrMacBegin
B
0 FmP
F FmOP
105.6 390.499 M ( recei)S
-0.251 N (v)S
-0.151 N (es a RELEASE message:)S
72 404.633 M (a.)S
FmE
1161 0 :M
f148 sf
( )S
1163 0 :M
FrMacBegin
B
0 FmP
F FmOP
90 404.633 M (CSST)S
-0.5 N (A)S
-0.371 N (T)S
FmE
1163 0 :M
f59 sf
( )S
1165 0 :M
FrMacBegin
B
0 FmP
F FmOP
123.025 404.633 M ( is set to free)S
72 416.633 M (b)S
-0.4 N (.)S
10.9 N -0.114(If )W
FmE
1166 0 :M
f148 sf
( )S
1168 0 :M
FrMacBegin
B
0 FmP
F FmOP
99.041 416.633 M (p)S
FmE
1168 0 :M
f161 sf
( )S
1170 0 :M
FrMacBegin
B
0 FmP
F FmOP
104.041 419.133 M (i)S
FmE
1170 0 :M
f59 sf
( )S
1172 0 :M
FrMacBegin
B
0 FmP
F FmOP
106.264 416.633 M -0.114( queue is not empty)W
-0.652 N -0.114(, )W
FmE
1173 0 :M
f148 sf
( )S
1175 0 :M
FrMacBegin
B
0 FmP
F FmOP
188.36 416.633 M (p)S
FmE
1175 0 :M
f161 sf
( )S
1177 0 :M
FrMacBegin
B
0 FmP
F FmOP
193.36 419.133 M (i)S
FmE
1177 0 :M
f59 sf
( )S
1179 0 :M
FrMacBegin
B
0 FmP
F FmOP
195.583 416.633 M -0.114( sends a GRANT to the \336)W
-0.114(rst process )W
FmE
1180 0 :M
f148 sf
( )S
1182 0 :M
FrMacBegin
B
0 FmP
F FmOP
341.295 416.633 M (p)S
FmE
1182 0 :M
f161 sf
( )S
1184 0 :M
FrMacBegin
B
0 FmP
F FmOP
346.295 419.133 M -0.091(f )W
FmE
1184 0 :M
f59 sf
( )S
1186 0 :M
FrMacBegin
B
0 FmP
F FmOP
350.426 416.633 M -0.114( in the queue and deletes its entry from the )W
90 430.466 M (queue. If )S
FmE
1187 0 :M
f148 sf
( )S
1189 0 :M
FrMacBegin
B
0 FmP
F FmOP
128.032 430.466 M (p)S
FmE
1189 0 :M
f161 sf
( )S
1191 0 :M
FrMacBegin
B
0 FmP
F FmOP
133.032 432.966 M (f)S
FmE
1191 0 :M
f59 sf
( )S
1193 0 :M
FrMacBegin
B
0 FmP
F FmOP
135.255 430.466 M ( )S
FmE
1194 0 :M
f120 sf
( )S
1196 0 :M
FrMacBegin
B
0 FmP
F FmOP
137.755 430.466 M (\316)S
FmE
1196 0 :M
f59 sf
( )S
1198 0 :M
FrMacBegin
B
0 FmP
F FmOP
144.884 430.466 M ( )S
FmE
1199 0 :M
f148 sf
( )S
1201 0 :M
FrMacBegin
B
0 FmP
F FmOP
147.384 430.466 M (ST)S
FmE
1201 0 :M
f161 sf
( )S
1203 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.501 432.966 M (i)S
FmE
1203 0 :M
f59 sf
( )S
1205 0 :M
FrMacBegin
B
0 FmP
F FmOP
159.724 430.466 M (, then )S
FmE
1206 0 :M
f148 sf
( )S
1208 0 :M
FrMacBegin
B
0 FmP
F FmOP
184.441 430.466 M (CSST)S
-0.5 N (A)S
-0.371 N (T)S
FmE
1208 0 :M
f59 sf
( )S
1210 0 :M
FrMacBegin
B
0 FmP
F FmOP
217.466 430.466 M ( is set to indicate that )S
FmE
1211 0 :M
f148 sf
( )S
1213 0 :M
FrMacBegin
B
0 FmP
F FmOP
304.663 430.466 M (p)S
FmE
1213 0 :M
f161 sf
( )S
1215 0 :M
FrMacBegin
B
0 FmP
F FmOP
309.663 432.966 M (f)S
FmE
1215 0 :M
f59 sf
( )S
1217 0 :M
FrMacBegin
B
0 FmP
F FmOP
311.886 430.466 M ( is in the critical section.)S
72 444.299 M (c.)S
11.062 N (Repeat step b until either )S
FmE
1218 0 :M
f148 sf
( )S
1220 0 :M
FrMacBegin
B
0 FmP
F FmOP
192.466 444.299 M (CSST)S
-0.5 N (A)S
-0.371 N (T)S
FmE
1220 0 :M
f59 sf
( )S
1222 0 :M
FrMacBegin
B
0 FmP
F FmOP
225.491 444.299 M ( indicates a process has entered the critical section, or )S
FmE
1223 0 :M
f148 sf
( )S
1225 0 :M
FrMacBegin
B
0 FmP
F FmOP
442.324 444.299 M (p)S
FmE
1225 0 :M
f161 sf
( )S
1227 0 :M
FrMacBegin
B
0 FmP
F FmOP
447.324 446.799 M (f)S
FmE
1227 0 :M
f59 sf
( )S
1229 0 :M
FrMacBegin
B
0 FmP
F FmOP
450.096 444.299 M (\325)S
-0.552 N (s queue is empty)S
-0.652 N (.)S
FmE
endp
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FrMacBegin
0 FmP
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0 FmSP
FmE
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1230 0 :M
FrMacBegin
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B
0 FmP
F FmOP
54 39 FmB
468 0 FmL
2 1 FmSo
54 42 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 576 776 rC
1230 0 :M
f59 sf
( )S
1232 0 :M
FrMacBegin
B
0 FmP
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FmE
1233 0 :M
f174 sf
( )S
1236 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 72 M (Example)S
FmE
1236 0 :M
f59 sf
( )S
1238 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 89.667 M (There are three processes, )S
FmE
1238 0 :M
f148 sf
( )S
1240 0 :M
FrMacBegin
B
0 FmP
F FmOP
160.311 89.667 M (p)S
FmE
1241 0 :M
f187 sf
( )S
1243 0 :M
FrMacBegin
B
0 FmP
F FmOP
165.311 92.167 M (1)S
FmE
1243 0 :M
f59 sf
( )S
1245 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.311 89.667 M (, )S
FmE
1245 0 :M
f148 sf
( )S
1247 0 :M
FrMacBegin
B
0 FmP
F FmOP
174.311 89.667 M (p)S
FmE
1248 0 :M
f187 sf
( )S
1250 0 :M
FrMacBegin
B
0 FmP
F FmOP
179.311 92.167 M (2)S
FmE
1250 0 :M
f59 sf
( )S
1252 0 :M
FrMacBegin
B
0 FmP
F FmOP
183.311 89.667 M (, and )S
FmE
1252 0 :M
f148 sf
( )S
1254 0 :M
FrMacBegin
B
0 FmP
F FmOP
205.25 89.667 M (p)S
FmE
1255 0 :M
f187 sf
( )S
1257 0 :M
FrMacBegin
B
0 FmP
F FmOP
210.25 92.167 M (3)S
FmE
1257 0 :M
f59 sf
( )S
1259 0 :M
FrMacBegin
B
0 FmP
F FmOP
214.25 89.667 M (. )S
FmE
1259 0 :M
f148 sf
( )S
1261 0 :M
FrMacBegin
B
0 FmP
F FmOP
219.25 89.667 M (p)S
FmE
1262 0 :M
f187 sf
( )S
1264 0 :M
FrMacBegin
B
0 FmP
F FmOP
224.25 92.167 M (1)S
FmE
1264 0 :M
f59 sf
( )S
1266 0 :M
FrMacBegin
B
0 FmP
F FmOP
228.25 89.667 M ( and )S
FmE
1266 0 :M
f148 sf
( )S
1268 0 :M
FrMacBegin
B
0 FmP
F FmOP
247.688 89.667 M (p)S
FmE
1269 0 :M
f187 sf
( )S
1271 0 :M
FrMacBegin
B
0 FmP
F FmOP
252.688 92.167 M (3)S
FmE
1271 0 :M
f59 sf
( )S
1273 0 :M
FrMacBegin
B
0 FmP
F FmOP
256.688 89.667 M ( seek mutually e)S
-0.151 N (xclusi)S
-0.251 N (v)S
-0.151 N (e access to a shared resource. Let:)S
FmE
1273 0 :M
f148 sf
( )S
1275 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 103.5 M (I)S
FmE
1276 0 :M
f187 sf
( )S
1278 0 :M
FrMacBegin
B
0 FmP
F FmOP
57.328 106 M (1)S
FmE
1278 0 :M
f59 sf
( )S
1280 0 :M
FrMacBegin
B
0 FmP
F FmOP
61.328 103.5 M ( = { )S
FmE
1280 0 :M
f148 sf
( )S
1282 0 :M
FrMacBegin
B
0 FmP
F FmOP
79.267 103.5 M (p)S
FmE
1283 0 :M
f187 sf
( )S
1285 0 :M
FrMacBegin
B
0 FmP
F FmOP
84.267 106 M (1)S
FmE
1285 0 :M
f59 sf
( )S
1287 0 :M
FrMacBegin
B
0 FmP
F FmOP
88.267 103.5 M (, )S
FmE
1287 0 :M
f148 sf
( )S
1289 0 :M
FrMacBegin
B
0 FmP
F FmOP
93.267 103.5 M (p)S
FmE
1290 0 :M
f187 sf
( )S
1292 0 :M
FrMacBegin
B
0 FmP
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98.267 106 M (3)S
FmE
1292 0 :M
f59 sf
( )S
1294 0 :M
FrMacBegin
B
0 FmP
F FmOP
102.267 103.5 M ( }, )S
FmE
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f148 sf
( )S
1296 0 :M
FrMacBegin
B
0 FmP
F FmOP
114.567 103.5 M (I)S
FmE
1297 0 :M
f187 sf
( )S
1299 0 :M
FrMacBegin
B
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FmE
1299 0 :M
f59 sf
( )S
1301 0 :M
FrMacBegin
B
0 FmP
F FmOP
121.895 103.5 M ( = { )S
FmE
1301 0 :M
f148 sf
( )S
1303 0 :M
FrMacBegin
B
0 FmP
F FmOP
139.834 103.5 M (p)S
FmE
1304 0 :M
f187 sf
( )S
1306 0 :M
FrMacBegin
B
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FmE
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( )S
1308 0 :M
FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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f187 sf
( )S
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FrMacBegin
B
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FmE
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
1320 0 :M
FrMacBegin
B
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FmE
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( )S
1322 0 :M
FrMacBegin
B
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195.401 103.5 M ( }, so )S
FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
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FmE
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( )S
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FrMacBegin
B
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254.088 103.5 M (p)S
FmE
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( )S
1334 0 :M
FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
1343 0 :M
FrMacBegin
B
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289.947 103.5 M ( = { )S
FmE
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( )S
1345 0 :M
FrMacBegin
B
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307.887 103.5 M (p)S
FmE
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f187 sf
( )S
1348 0 :M
FrMacBegin
B
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312.887 106 M (2)S
FmE
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f59 sf
( )S
1350 0 :M
FrMacBegin
B
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316.887 103.5 M ( }, )S
FmE
1350 0 :M
f148 sf
( )S
1352 0 :M
FrMacBegin
B
0 FmP
F FmOP
329.187 103.5 M (ST)S
FmE
1353 0 :M
f187 sf
( )S
1355 0 :M
FrMacBegin
B
0 FmP
F FmOP
339.746 106 M (3)S
FmE
1355 0 :M
f59 sf
( )S
1357 0 :M
FrMacBegin
B
0 FmP
F FmOP
343.746 103.5 M ( = { )S
FmE
1357 0 :M
f148 sf
( )S
1359 0 :M
FrMacBegin
B
0 FmP
F FmOP
361.685 103.5 M (p)S
FmE
1360 0 :M
f187 sf
( )S
1362 0 :M
FrMacBegin
B
0 FmP
F FmOP
366.685 106 M (1)S
FmE
1362 0 :M
f59 sf
( )S
1364 0 :M
FrMacBegin
B
0 FmP
F FmOP
370.685 103.5 M (, )S
FmE
1364 0 :M
f148 sf
( )S
1366 0 :M
FrMacBegin
B
0 FmP
F FmOP
375.685 103.5 M (p)S
FmE
1367 0 :M
f187 sf
( )S
1369 0 :M
FrMacBegin
B
0 FmP
F FmOP
380.685 106 M (3)S
FmE
1369 0 :M
f59 sf
( )S
1371 0 :M
FrMacBegin
B
0 FmP
F FmOP
384.685 103.5 M ( }; and)S
FmE
1371 0 :M
f148 sf
( )S
1373 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 117.333 M (R)S
FmE
1374 0 :M
f187 sf
( )S
1376 0 :M
FrMacBegin
B
0 FmP
F FmOP
60.108 119.833 M (1)S
FmE
1376 0 :M
f59 sf
( )S
1378 0 :M
FrMacBegin
B
0 FmP
F FmOP
64.108 117.333 M ( = { )S
FmE
1378 0 :M
f148 sf
( )S
1380 0 :M
FrMacBegin
B
0 FmP
F FmOP
82.048 117.333 M (p)S
FmE
1381 0 :M
f187 sf
( )S
1383 0 :M
FrMacBegin
B
0 FmP
F FmOP
87.048 119.833 M (1)S
FmE
1383 0 :M
f59 sf
( )S
1385 0 :M
FrMacBegin
B
0 FmP
F FmOP
91.048 117.333 M (, )S
FmE
1385 0 :M
f148 sf
( )S
1387 0 :M
FrMacBegin
B
0 FmP
F FmOP
96.048 117.333 M (p)S
FmE
1388 0 :M
f187 sf
( )S
1390 0 :M
FrMacBegin
B
0 FmP
F FmOP
101.048 119.833 M (2)S
FmE
1390 0 :M
f59 sf
( )S
1392 0 :M
FrMacBegin
B
0 FmP
F FmOP
105.048 117.333 M (, )S
FmE
1392 0 :M
f148 sf
( )S
1394 0 :M
FrMacBegin
B
0 FmP
F FmOP
110.048 117.333 M (p)S
FmE
1395 0 :M
f187 sf
( )S
1397 0 :M
FrMacBegin
B
0 FmP
F FmOP
115.048 119.833 M (3)S
FmE
1397 0 :M
f59 sf
( )S
1399 0 :M
FrMacBegin
B
0 FmP
F FmOP
119.048 117.333 M ( }, )S
FmE
1399 0 :M
f148 sf
( )S
1401 0 :M
FrMacBegin
B
0 FmP
F FmOP
131.348 117.333 M (R)S
FmE
1402 0 :M
f187 sf
( )S
1404 0 :M
FrMacBegin
B
0 FmP
F FmOP
137.456 119.833 M (2)S
FmE
1404 0 :M
f59 sf
( )S
1406 0 :M
FrMacBegin
B
0 FmP
F FmOP
141.456 117.333 M ( = { )S
FmE
1406 0 :M
f148 sf
( )S
1408 0 :M
FrMacBegin
B
0 FmP
F FmOP
159.396 117.333 M (p)S
FmE
1409 0 :M
f187 sf
( )S
1411 0 :M
FrMacBegin
B
0 FmP
F FmOP
164.396 119.833 M (1)S
FmE
1411 0 :M
f59 sf
( )S
1413 0 :M
FrMacBegin
B
0 FmP
F FmOP
168.396 117.333 M (, )S
FmE
1413 0 :M
f148 sf
( )S
1415 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.396 117.333 M (p)S
FmE
1416 0 :M
f187 sf
( )S
1418 0 :M
FrMacBegin
B
0 FmP
F FmOP
178.396 119.833 M (2)S
FmE
1418 0 :M
f59 sf
( )S
1420 0 :M
FrMacBegin
B
0 FmP
F FmOP
182.396 117.333 M (, )S
FmE
1420 0 :M
f148 sf
( )S
1422 0 :M
FrMacBegin
B
0 FmP
F FmOP
187.396 117.333 M (p)S
FmE
1423 0 :M
f187 sf
( )S
1425 0 :M
FrMacBegin
B
0 FmP
F FmOP
192.396 119.833 M (3)S
FmE
1425 0 :M
f59 sf
( )S
1427 0 :M
FrMacBegin
B
0 FmP
F FmOP
196.396 117.333 M ( }, )S
FmE
1427 0 :M
f148 sf
( )S
1429 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.695 117.333 M (R)S
FmE
1430 0 :M
f187 sf
( )S
1432 0 :M
FrMacBegin
B
0 FmP
F FmOP
214.804 119.833 M (3)S
FmE
1432 0 :M
f59 sf
( )S
1434 0 :M
FrMacBegin
B
0 FmP
F FmOP
218.804 117.333 M ( = { )S
FmE
1434 0 :M
f148 sf
( )S
1436 0 :M
FrMacBegin
B
0 FmP
F FmOP
236.743 117.333 M (p)S
FmE
1437 0 :M
f187 sf
( )S
1439 0 :M
FrMacBegin
B
0 FmP
F FmOP
241.743 119.833 M (2)S
FmE
1439 0 :M
f59 sf
( )S
1441 0 :M
FrMacBegin
B
0 FmP
F FmOP
245.743 117.333 M (, )S
FmE
1441 0 :M
f148 sf
( )S
1443 0 :M
FrMacBegin
B
0 FmP
F FmOP
250.743 117.333 M (p)S
FmE
1444 0 :M
f187 sf
( )S
1446 0 :M
FrMacBegin
B
0 FmP
F FmOP
255.743 119.833 M (3)S
FmE
1446 0 :M
f59 sf
( )S
1448 0 :M
FrMacBegin
B
0 FmP
F FmOP
259.743 117.333 M ( })S
54 131.167 M -0.053(These satisfy the criteria that, for all )W
FmE
1448 0 :M
f148 sf
( )S
1450 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.775 131.167 M (i)S
FmE
1451 0 :M
f59 sf
( )S
1453 0 :M
FrMacBegin
B
0 FmP
F FmOP
203.554 131.167 M -0.053(, )W
FmE
1453 0 :M
f148 sf
( )S
1455 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.501 131.167 M (p)S
FmE
1456 0 :M
f161 sf
( )S
1458 0 :M
FrMacBegin
B
0 FmP
F FmOP
213.501 133.667 M (i)S
FmE
1458 0 :M
f59 sf
( )S
1460 0 :M
FrMacBegin
B
0 FmP
F FmOP
215.724 131.167 M -0.053( )W
FmE
1460 0 :M
f120 sf
( )S
1462 0 :M
FrMacBegin
B
0 FmP
F FmOP
218.171 131.167 M (\316)S
FmE
1463 0 :M
f59 sf
( )S
1465 0 :M
FrMacBegin
B
0 FmP
F FmOP
225.3 131.167 M -0.053( )W
FmE
1465 0 :M
f148 sf
( )S
1467 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.747 131.167 M (I)S
FmE
1468 0 :M
f161 sf
( )S
1470 0 :M
FrMacBegin
B
0 FmP
F FmOP
231.075 133.667 M (i)S
FmE
1470 0 :M
f59 sf
( )S
1472 0 :M
FrMacBegin
B
0 FmP
F FmOP
233.298 131.167 M -0.053(, )W
FmE
1472 0 :M
f148 sf
( )S
1474 0 :M
FrMacBegin
B
0 FmP
F FmOP
238.245 131.167 M (I)S
FmE
1475 0 :M
f161 sf
( )S
1477 0 :M
FrMacBegin
B
0 FmP
F FmOP
241.573 133.667 M (i)S
FmE
1477 0 :M
f59 sf
( )S
1479 0 :M
FrMacBegin
B
0 FmP
F FmOP
243.795 131.167 M -0.053( )W
FmE
1479 0 :M
f120 sf
( )S
1481 0 :M
FrMacBegin
B
0 FmP
F FmOP
246.243 131.167 M (\315)S
FmE
1482 0 :M
f59 sf
( )S
1484 0 :M
FrMacBegin
B
0 FmP
F FmOP
253.372 131.167 M -0.053( )W
FmE
1484 0 :M
f148 sf
( )S
1486 0 :M
FrMacBegin
B
0 FmP
F FmOP
255.819 131.167 M (R)S
FmE
1487 0 :M
f161 sf
( )S
1489 0 :M
FrMacBegin
B
0 FmP
F FmOP
261.927 133.667 M (i)S
FmE
1489 0 :M
f59 sf
( )S
1491 0 :M
FrMacBegin
B
0 FmP
F FmOP
264.15 131.167 M -0.053(, and for all pairs \()W
FmE
1491 0 :M
f148 sf
( )S
1493 0 :M
FrMacBegin
B
0 FmP
F FmOP
337.737 131.167 M (i)S
FmE
1494 0 :M
f59 sf
( )S
1496 0 :M
FrMacBegin
B
0 FmP
F FmOP
340.515 131.167 M -0.053(, )W
FmE
1496 0 :M
f148 sf
( )S
1498 0 :M
FrMacBegin
B
0 FmP
F FmOP
345.463 131.167 M (j)S
FmE
1499 0 :M
f59 sf
( )S
1501 0 :M
FrMacBegin
B
0 FmP
F FmOP
348.241 131.167 M -0.053(\), either )W
FmE
1501 0 :M
f148 sf
( )S
1503 0 :M
FrMacBegin
B
0 FmP
F FmOP
381.725 131.167 M (I)S
FmE
1504 0 :M
f161 sf
( )S
1506 0 :M
FrMacBegin
B
0 FmP
F FmOP
385.052 133.667 M (i)S
FmE
1506 0 :M
f59 sf
( )S
1508 0 :M
FrMacBegin
B
0 FmP
F FmOP
387.275 131.167 M -0.053( )W
FmE
1508 0 :M
f120 sf
( )S
1510 0 :M
FrMacBegin
B
0 FmP
F FmOP
389.722 131.167 M (\307)S
FmE
1511 0 :M
f59 sf
( )S
1513 0 :M
FrMacBegin
B
0 FmP
F FmOP
397.403 131.167 M -0.053( )W
FmE
1513 0 :M
f148 sf
( )S
1515 0 :M
FrMacBegin
B
0 FmP
F FmOP
399.85 131.167 M (I)S
FmE
1516 0 :M
f161 sf
( )S
1518 0 :M
FrMacBegin
B
0 FmP
F FmOP
403.178 133.667 M (j)S
FmE
1518 0 :M
f59 sf
( )S
1520 0 :M
FrMacBegin
B
0 FmP
F FmOP
405.401 131.167 M -0.053( )W
FmE
1520 0 :M
f120 sf
( )S
1522 0 :M
FrMacBegin
B
0 FmP
F FmOP
407.848 131.167 M (\271)S
FmE
1523 0 :M
f59 sf
( )S
1525 0 :M
FrMacBegin
B
0 FmP
F FmOP
413.336 131.167 M -0.053( )W
FmE
1525 0 :M
f120 sf
( )S
1527 0 :M
FrMacBegin
B
0 FmP
F FmOP
415.784 131.167 M (\306)S
FmE
1528 0 :M
f59 sf
( )S
1530 0 :M
FrMacBegin
B
0 FmP
F FmOP
424.016 131.167 M -0.053( or \()W
FmE
1530 0 :M
f148 sf
( )S
1532 0 :M
FrMacBegin
B
0 FmP
F FmOP
440.566 131.167 M (p)S
FmE
1533 0 :M
f161 sf
( )S
1535 0 :M
FrMacBegin
B
0 FmP
F FmOP
445.566 133.667 M (i)S
FmE
1535 0 :M
f59 sf
( )S
1537 0 :M
FrMacBegin
B
0 FmP
F FmOP
447.789 131.167 M -0.053( )W
FmE
1537 0 :M
f120 sf
( )S
1539 0 :M
FrMacBegin
B
0 FmP
F FmOP
450.236 131.167 M (\316)S
FmE
1540 0 :M
f59 sf
( )S
1542 0 :M
FrMacBegin
B
0 FmP
F FmOP
457.365 131.167 M -0.053( Rj and )W
FmE
1542 0 :M
f148 sf
( )S
1544 0 :M
FrMacBegin
B
0 FmP
F FmOP
488.594 131.167 M (p)S
FmE
1545 0 :M
f161 sf
( )S
1547 0 :M
FrMacBegin
B
0 FmP
F FmOP
493.594 133.667 M (j)S
FmE
1547 0 :M
f59 sf
( )S
1549 0 :M
FrMacBegin
B
0 FmP
F FmOP
495.817 131.167 M -0.053( )W
FmE
1549 0 :M
f120 sf
( )S
1551 0 :M
FrMacBegin
B
0 FmP
F FmOP
498.264 131.167 M (\316)S
FmE
1552 0 :M
f59 sf
( )S
1554 0 :M
FrMacBegin
B
0 FmP
F FmOP
505.393 131.167 M -0.053( )W
FmE
1554 0 :M
f148 sf
( )S
1556 0 :M
FrMacBegin
B
0 FmP
F FmOP
507.84 131.167 M (R)S
FmE
1557 0 :M
f161 sf
( )S
1559 0 :M
FrMacBegin
B
0 FmP
F FmOP
513.949 133.667 M (i)S
FmE
1559 0 :M
f59 sf
( )S
1561 0 :M
FrMacBegin
B
0 FmP
F FmOP
516.172 131.167 M (\).)S
54 145 M (Initially:)S
90 157 M (p1 state: C1 = 0, Q1 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T1 empty)S
90 169 M (p2 state: C2 = 0, Q2 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T2 empty)S
90 181 M (p3 state: C3 = 0, Q3 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T3 empty)S
54 193 M (p1 sends Q\(0,1\) to p1, p2 and p3; p1\325)S
-0.552 N (s state no)S
-0.251 N (w C1 = 1, Q1 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T1 empty)S
-0.652 N (, GRANTS1 empty)S
54 205 M (p1 recei)S
-0.251 N (v)S
-0.151 N (es Q\(0,1\) from p1; p1\325)S
-0.552 N (s state no)S
-0.251 N (w C1 = 1, Q1 = Q\(0,1\), CSST)S
-0.93 N (A)S
-1.111 N (T1 empty)S
-0.652 N (, GRANTS1 empty)S
54 217 M (p1 sends G\(1,1\) to p1; p1\325)S
-0.552 N (s state no)S
-0.251 N (w C1 = 2, Q1 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T1 = p1, GRANTS1 empty)S
54 229 M (p1 recei)S
-0.251 N (v)S
-0.151 N (es G\(1,1\) to p1; p1\325)S
-0.552 N (s state no)S
-0.251 N (w C1 = 2, Q1 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T1 = p1, GRANTS1 G\(1,1\))S
54 241 M (p3 sends Q\(0,3\) to p2 and p3; p3\325)S
-0.552 N (s state no)S
-0.251 N (w C3 = 1, Q3 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T3 empty)S
-0.652 N (, GRANTS3 empty)S
54 253 M (p3 recei)S
-0.251 N (v)S
-0.151 N (es Q\(0,3\) from p3; p3\325)S
-0.552 N (s state no)S
-0.251 N (w C3 = 1, Q3 = Q\(0,3\), CSST)S
-0.93 N (A)S
-1.111 N (T3 empty)S
-0.652 N (, GRANTS3 empty)S
54 265 M (p3 sends G\(1,3\) to p3; p3\325)S
-0.552 N (s state no)S
-0.251 N (w C3 = 2, Q3 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T3 = p3, GRANTS3 empty)S
54 277 M (p3 recei)S
-0.251 N (v)S
-0.151 N (es G\(1,3\) from p3; p3\325)S
-0.552 N (s state no)S
-0.251 N (w C3 = 2, Q3 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T3 = p3, GRANTS3 G\(1,3\))S
54 289 M (p2 recei)S
-0.251 N (v)S
-0.151 N (es Q\(0,1\) from p1; p2\325)S
-0.552 N (s state no)S
-0.251 N (w C2 = 2, Q2 = Q\(0,1\), CSST)S
-0.93 N (A)S
-1.111 N (T2 empty)S
-0.652 N (, GRANTS2 empty)S
54 301 M (p2 sends G\(2,2\) to p1; p2\325)S
-0.552 N (s state no)S
-0.251 N (w C2 = 3, Q2 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T2 empty)S
-0.652 N (, GRANTS2 empty)S
54 313 M (p2 recei)S
-0.251 N (v)S
-0.151 N (es Q\(0,3\) from p3; p2\325)S
-0.552 N (s state no)S
-0.251 N (w C2 = 3, Q2 = Q\(0,3\), CSST)S
-0.93 N (A)S
-1.111 N (T2 empty)S
-0.652 N (, GRANTS2 empty)S
54 325 M (p2 sends G\(3,2\) to p3; p2\325)S
-0.552 N (s state no)S
-0.251 N (w C2 = 4, Q2 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T2 empty)S
-0.652 N (, GRANTS2 empty)S
54 337 M (p3 recei)S
-0.251 N (v)S
-0.151 N (es Q\(0,1\) from p1; p3\325)S
-0.552 N (s state no)S
-0.251 N (w C3 = 2, Q3 = Q\(0,1\), CSST)S
-0.93 N (A)S
-1.111 N (T3 = p3, GRANTS3 G\(1,3\))S
54 349 M (p1 recei)S
-0.251 N (v)S
-0.151 N (es G\(2,2\) from p2; p1\325)S
-0.552 N (s state no)S
-0.251 N (w C1 = 2, Q1 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T1 = p1, GRANTS1 G\(1,1\), G\(2,2\))S
54 361 M (p3 recei)S
-0.251 N (v)S
-0.151 N (es G\(3,2\) from p2; p3\325)S
-0.552 N (s state no)S
-0.251 N (w C3 = 3, Q3 = Q\(0,1\), CSST)S
-0.93 N (A)S
-1.111 N (T3 = p3, GRANTS3 G\(1,3\), G\(3,2\))S
FmE
1561 0 :M
f230 sf
( )S
1563 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 373 M (p3 enters its critical section)S
54 384.999 M (p3 exits its critical section)S
FmE
1564 0 :M
f59 sf
( )S
1566 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 396.999 M (p3 sends R\(3,3\) to p3; p3\325)S
-0.552 N (s state no)S
-0.251 N (w C3 = 4, Q3 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T3 = p3, GRANTS3 empty)S
54 408.999 M (p3 recei)S
-0.251 N (v)S
-0.151 N (es R\(3, 3\) from p3; p3\325)S
-0.552 N (s state no)S
-0.251 N (w C3 = 4, Q3 = Q\(0,1\), CSST)S
-0.93 N (A)S
-1.111 N (T3 empty)S
-0.652 N (, GRANTS3 empty)S
54 420.999 M (p3 sends G\(4, 3\) to p1; p3\325)S
-0.552 N (s state no)S
-0.251 N (w C3 = 5, Q3 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T3 = p1, GRANTS3 empty)S
54 432.999 M (p1 recei)S
-0.251 N (v)S
-0.151 N (es G\(4,3\) from p3; p1\325)S
-0.552 N (s state no)S
-0.251 N (w C1 = 4, Q1 empty)S
-0.652 N (, CSST)S
-0.93 N (A)S
-1.111 N (T1 = p1, GRANTS1 G\(1,1\), G\(2,2\), G\(4,3\))S
FmE
1566 0 :M
f230 sf
( )S
1568 0 :M
FrMacBegin
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FmE
endp
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1837 0 :M
FrMacBegin
B
0 FmP
F FmOP
155.621 388.366 M (];)S
72 402.199 M (b)S
-0.4 N (.)S
10.9 N (for e)S
-0.251 N (v)S
-0.151 N (ery )S
FmE
1838 0 :M
f148 sf
( )S
1840 0 :M
FrMacBegin
B
0 FmP
F FmOP
128.457 402.199 M (j)S
FmE
1840 0 :M
f59 sf
( )S
1842 0 :M
FrMacBegin
B
0 FmP
F FmOP
131.235 402.199 M ( not in )S
FmE
1843 0 :M
f148 sf
( )S
1845 0 :M
FrMacBegin
B
0 FmP
F FmOP
159.292 402.199 M (Q)S
FmE
1845 0 :M
f59 sf
( )S
1847 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.511 402.199 M ( and for which )S
FmE
1848 0 :M
f148 sf
( )S
1850 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.041 402.199 M (R)S
FmE
1850 0 :M
f161 sf
( )S
1852 0 :M
FrMacBegin
B
0 FmP
F FmOP
233.149 404.699 M (i)S
FmE
1852 0 :M
f59 sf
( )S
1854 0 :M
FrMacBegin
B
0 FmP
F FmOP
235.372 402.199 M ([)S
FmE
1855 0 :M
f148 sf
( )S
1857 0 :M
FrMacBegin
B
0 FmP
F FmOP
238.7 402.199 M (j)S
FmE
1857 0 :M
f59 sf
( )S
1859 0 :M
FrMacBegin
B
0 FmP
F FmOP
241.478 402.199 M (] = )S
FmE
1860 0 :M
f148 sf
( )S
1862 0 :M
FrMacBegin
B
0 FmP
F FmOP
255.445 402.199 M (L)S
FmE
1862 0 :M
f59 sf
( )S
1864 0 :M
FrMacBegin
B
0 FmP
F FmOP
261.004 402.199 M ([)S
FmE
1865 0 :M
f148 sf
( )S
1867 0 :M
FrMacBegin
B
0 FmP
F FmOP
264.332 402.199 M (j)S
FmE
1867 0 :M
f59 sf
( )S
1869 0 :M
FrMacBegin
B
0 FmP
F FmOP
267.11 402.199 M (] + 1, )S
FmE
1870 0 :M
f148 sf
( )S
1872 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.078 402.199 M (p)S
FmE
1872 0 :M
f161 sf
( )S
1874 0 :M
FrMacBegin
B
0 FmP
F FmOP
296.078 404.699 M (i)S
FmE
1874 0 :M
f59 sf
( )S
1876 0 :M
FrMacBegin
B
0 FmP
F FmOP
298.3 402.199 M ( appends )S
FmE
1877 0 :M
f148 sf
( )S
1879 0 :M
FrMacBegin
B
0 FmP
F FmOP
336.066 402.199 M (j)S
FmE
1879 0 :M
f59 sf
( )S
1881 0 :M
FrMacBegin
B
0 FmP
F FmOP
338.845 402.199 M ( to )S
FmE
1882 0 :M
f148 sf
( )S
1884 0 :M
FrMacBegin
B
0 FmP
F FmOP
351.623 402.199 M (Q)S
FmE
1884 0 :M
f59 sf
( )S
1886 0 :M
FrMacBegin
B
0 FmP
F FmOP
358.842 402.199 M (; and)S
72 416.033 M (c.)S
11.062 N (if )S
FmE
1887 0 :M
f148 sf
( )S
1889 0 :M
FrMacBegin
B
0 FmP
F FmOP
98.606 416.033 M (Q)S
FmE
1889 0 :M
f59 sf
( )S
1891 0 :M
FrMacBegin
B
0 FmP
F FmOP
105.825 416.033 M ( is not empty)S
-0.652 N (, )S
FmE
1892 0 :M
f148 sf
( )S
1894 0 :M
FrMacBegin
B
0 FmP
F FmOP
162.114 416.033 M (p)S
FmE
1894 0 :M
f161 sf
( )S
1896 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.114 418.533 M (i)S
FmE
1896 0 :M
f59 sf
( )S
1898 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.337 416.033 M ( deletes the \336)S
(rst element )S
FmE
1899 0 :M
f148 sf
( )S
1901 0 :M
FrMacBegin
B
0 FmP
F FmOP
269.02 416.033 M (f)S
FmE
1901 0 :M
f59 sf
( )S
1903 0 :M
FrMacBegin
B
0 FmP
F FmOP
271.798 416.033 M ( of )S
FmE
1904 0 :M
f148 sf
( )S
1906 0 :M
FrMacBegin
B
0 FmP
F FmOP
285.125 416.033 M (Q)S
FmE
1906 0 :M
f59 sf
( )S
1908 0 :M
FrMacBegin
B
0 FmP
F FmOP
292.345 416.033 M ( and sends the tok)S
-0.1 N (en to )S
FmE
1909 0 :M
f148 sf
( )S
1911 0 :M
FrMacBegin
B
0 FmP
F FmOP
386.112 416.033 M (p)S
FmE
1911 0 :M
f161 sf
( )S
1913 0 :M
FrMacBegin
B
0 FmP
F FmOP
391.112 418.533 M (f)S
FmE
1913 0 :M
f59 sf
( )S
1915 0 :M
FrMacBegin
B
0 FmP
F FmOP
393.334 416.033 M (.)S
FmE
1916 0 :M
f174 sf
( )S
1919 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 443.199 M (Example)S
FmE
1919 0 :M
f59 sf
( )S
1921 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 460.866 M (There are three processes, )S
FmE
1921 0 :M
f148 sf
( )S
1923 0 :M
FrMacBegin
B
0 FmP
F FmOP
160.311 460.866 M (p)S
FmE
1924 0 :M
f187 sf
( )S
1926 0 :M
FrMacBegin
B
0 FmP
F FmOP
165.311 463.366 M (1)S
FmE
1926 0 :M
f59 sf
( )S
1928 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.311 460.866 M (, )S
FmE
1928 0 :M
f148 sf
( )S
1930 0 :M
FrMacBegin
B
0 FmP
F FmOP
174.311 460.866 M (p)S
FmE
1931 0 :M
f187 sf
( )S
1933 0 :M
FrMacBegin
B
0 FmP
F FmOP
179.311 463.366 M (2)S
FmE
1933 0 :M
f59 sf
( )S
1935 0 :M
FrMacBegin
B
0 FmP
F FmOP
183.311 460.866 M (, and )S
FmE
1935 0 :M
f148 sf
( )S
1937 0 :M
FrMacBegin
B
0 FmP
F FmOP
205.25 460.866 M (p)S
FmE
1938 0 :M
f187 sf
( )S
1940 0 :M
FrMacBegin
B
0 FmP
F FmOP
210.25 463.366 M (3)S
FmE
1940 0 :M
f59 sf
( )S
1942 0 :M
FrMacBegin
B
0 FmP
F FmOP
214.25 460.866 M (. )S
FmE
1942 0 :M
f148 sf
( )S
1944 0 :M
FrMacBegin
B
0 FmP
F FmOP
219.25 460.866 M (p)S
FmE
1945 0 :M
f187 sf
( )S
1947 0 :M
FrMacBegin
B
0 FmP
F FmOP
224.25 463.366 M (1)S
FmE
1947 0 :M
f59 sf
( )S
1949 0 :M
FrMacBegin
B
0 FmP
F FmOP
228.25 460.866 M ( and )S
FmE
1949 0 :M
f148 sf
( )S
1951 0 :M
FrMacBegin
B
0 FmP
F FmOP
247.688 460.866 M (p)S
FmE
1952 0 :M
f187 sf
( )S
1954 0 :M
FrMacBegin
B
0 FmP
F FmOP
252.688 463.366 M (3)S
FmE
1954 0 :M
f59 sf
( )S
1956 0 :M
FrMacBegin
B
0 FmP
F FmOP
256.688 460.866 M ( seek mutually e)S
-0.151 N (xclusi)S
-0.251 N (v)S
-0.151 N (e access to a shared resource.)S
54 474.699 M (Initially:the tok)S
-0.1 N (en is at p2 and the tok)S
-0.1 N (en\325)S
-0.552 N (s state is L = [0, 0, 0] and Q empty;)S
90 486.699 M (p1\325)S
-0.552 N -0.054(s state is C1 = 0, R1 = [0, 0, 0]; p3\325)W
-0.552 N -0.054(s state is C1 = 0, R2 = [0, 0, 0]; and p3\325)W
-0.552 N -0.054(s state is C3 = 0, R3 = [0, 0, 0])W
54 498.699 M (p1 sends R\(1, 1\) to p2 and p3; p1\325)S
-0.552 N (s state is C1 = 1, R1 = [ 1, 0, 0 ])S
54 510.699 M (p3 sends R\(3, 1\) to p1 and p2; p3\325)S
-0.552 N (s state is C3 = 1, R3 = [ 0, 0, 1 ])S
54 522.699 M (p2 recei)S
-0.251 N (v)S
-0.151 N (es R\(1, 1\) from p1; p2\325)S
-0.552 N (s state is C2 = 1, R2 = [ 1, 0, 0 ], holding tok)S
-0.1 N (en)S
54 534.699 M (p2 sends the tok)S
-0.1 N (en to p1)S
54 546.699 M (p1 recei)S
-0.251 N (v)S
-0.151 N (es R\(3, 1\) from p3; p1\325)S
-0.552 N (s state is C1 = 1, R1 = [ 1, 0, 1 ])S
54 558.699 M (p3 recei)S
-0.251 N (v)S
-0.151 N (es R\(1, 1\) from p1; p3\325)S
-0.552 N (s state is C3 = 1, R3 = [ 1, 0, 1 ])S
54 570.699 M (p1 recei)S
-0.251 N (v)S
-0.151 N (es the tok)S
-0.1 N (en from p2)S
FmE
1956 0 :M
f230 sf
( )S
1958 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 582.699 M (p1 enters the critical section)S
54 594.699 M (p1 exits the critical section)S
FmE
1959 0 :M
f59 sf
( )S
1961 0 :M
FrMacBegin
B
0 FmP
F FmOP
163.421 594.699 M ( and sets the tok)S
-0.1 N (en\325)S
-0.552 N (s state to L = [ 1, 0, 0 ] and Q = \( 3 \))S
54 606.699 M -0.189(p1sends the tok)W
-0.1 N -0.189(en to p3; p1\325)W
-0.552 N -0.189(s state is C1 = 2, R1 = [ 1, 0, 1 ], holding tok)W
-0.1 N -0.189(en, tok)W
-0.1 N (en\325)S
-0.552 N -0.189(s state is L = [ 1, 0, 0 ] and Q empty)W
54 618.699 M (p3 recei)S
-0.251 N (v)S
-0.151 N (es the tok)S
-0.1 N (en from p1; p3\325)S
-0.552 N (s state is C3 = 1, R3 = [ 1, 0, 1 ], holding tok)S
-0.1 N (en)S
FmE
1961 0 :M
f230 sf
( )S
1963 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 630.699 M (p3 enters the critical section)S
54 642.699 M (p3 exits the critical section)S
FmE
1964 0 :M
f59 sf
( )S
1966 0 :M
FrMacBegin
B
0 FmP
F FmOP
163.421 642.699 M ( and sets the tok)S
-0.1 N (en\325)S
-0.552 N (s state to L = [ 1, 0, 1 ] and Q empty)S
FmE
endp
showpage
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(Matt Bishop; page: 7 of 8)setjob
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gS 0 0 576 776 rC
1966 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
54 37 468 14 rC
1966 0 :M
FrMacBegin
54 38 468 12 FmKp
B
0 FmP
F FmOP
54 39 FmB
468 0 FmL
2 1 FmSo
54 42 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 576 776 rC
1966 0 :M
f59 sf
( )S
1968 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 34.667 M (Raymond\325s Tree-Based Protocol)S
54.889 N (ECS 251 \320 Winter 2001)S
159.015 N (Page )S
(7)S
173.723 748 M (Last modified at )S
(7:03 pm on Tuesday, February 27, 2001)S
FmE
1969 0 :M
f86 sf
( )S
1973 0 :M
FrMacBegin
B
0 FmP
F FmOP
164.639 76 M (Raymond\325)S
-0.668 N (s )S
-0.541 N (T)S
-1.336 N (r)S
-0.325 N (ee-Based Pr)S
-0.325 N (otocol)S
FmE
1973 0 :M
f174 sf
( )S
1976 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 108 M (Intr)S
-0.217 N (oduction)S
FmE
1976 0 :M
f59 sf
( )S
1978 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 125.667 M (This is a tok)S
-0.1 N (en-based protocol. )S
-0.181 N (The nodes are arranged in a binary tree, and one acquires the tok)S
-0.1 N (en by going up the )S
54 137.667 M (tree. )S
-0.181 N (The tok)S
-0.1 N (en is al)S
-0.1 N (w)S
-0.1 N (ays k)S
-0.1 N (ept at the root, so the tree needs to rearrange itself as the tok)S
-0.1 N (en \337)S
(oats from site to site.)S
FmE
1979 0 :M
f174 sf
( )S
1982 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 163 M (Notation)S
FmE
1982 0 :M
f59 sf
( )S
1984 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 180.667 M (\245)S
FmE
1984 0 :M
f148 sf
( )S
1986 0 :M
FrMacBegin
B
0 FmP
F FmOP
72 180.667 M (n)S
FmE
1987 0 :M
f59 sf
( )S
1989 0 :M
FrMacBegin
B
0 FmP
F FmOP
77 180.667 M ( processes)S
54 195.667 M (\245)S
FmE
1989 0 :M
f148 sf
( )S
1991 0 :M
FrMacBegin
B
0 FmP
F FmOP
72 195.667 M (p)S
FmE
1992 0 :M
f161 sf
( )S
1994 0 :M
FrMacBegin
B
0 FmP
F FmOP
77 198.167 M (i)S
FmE
1994 0 :M
f59 sf
( )S
1996 0 :M
FrMacBegin
B
0 FmP
F FmOP
79.223 195.667 M ( process)S
54 212.5 M (\245)S
FmE
1996 0 :M
f148 sf
( )S
1998 0 :M
FrMacBegin
B
0 FmP
F FmOP
72 212.5 M (Q)S
FmE
1999 0 :M
f161 sf
( )S
2001 0 :M
FrMacBegin
B
0 FmP
F FmOP
79.219 215 M (i)S
FmE
2001 0 :M
f59 sf
( )S
2003 0 :M
FrMacBegin
B
0 FmP
F FmOP
81.442 212.5 M ( request queue \(sequence\) of sites associated with process )S
FmE
2003 0 :M
f148 sf
( )S
2005 0 :M
FrMacBegin
B
0 FmP
F FmOP
314.938 212.5 M (p)S
FmE
2006 0 :M
f161 sf
( )S
2008 0 :M
FrMacBegin
B
0 FmP
F FmOP
319.938 215 M (i)S
FmE
2008 0 :M
f59 sf
( )S
2010 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 229.333 M (\245)S
FmE
2010 0 :M
f148 sf
( )S
2012 0 :M
FrMacBegin
B
0 FmP
F FmOP
72 229.333 M (H)S
FmE
2013 0 :M
f161 sf
( )S
2015 0 :M
FrMacBegin
B
0 FmP
F FmOP
79.219 231.833 M (i)S
FmE
2015 0 :M
f59 sf
( )S
2017 0 :M
FrMacBegin
B
0 FmP
F FmOP
81.442 229.333 M ( holder v)S
-0.251 N (ariable associated with process )S
FmE
2017 0 :M
f148 sf
( )S
2019 0 :M
FrMacBegin
B
0 FmP
F FmOP
242.782 229.333 M (p)S
FmE
2020 0 :M
f161 sf
( )S
2022 0 :M
FrMacBegin
B
0 FmP
F FmOP
247.782 231.833 M (i)S
FmE
2022 0 :M
f59 sf
( )S
2024 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 246.166 M (\245)S
FmE
2024 0 :M
f148 sf
( )S
2026 0 :M
FrMacBegin
B
0 FmP
F FmOP
72 246.166 M (T)S
FmE
2027 0 :M
f59 sf
( )S
2029 0 :M
FrMacBegin
B
0 FmP
F FmOP
77.559 246.166 M (  tok)S
-0.1 N (en)S
FmE
2029 0 :M
f174 sf
( )S
2032 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 271.5 M (Pr)S
-0.217 N (otocol)S
FmE
2032 0 :M
f59 sf
( )S
2034 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 289.166 M (1.)S
10.5 N (T)S
-0.801 N (o request entry)S
-0.652 N (, if )S
FmE
2035 0 :M
f148 sf
( )S
2037 0 :M
FrMacBegin
B
0 FmP
F FmOP
149.678 289.166 M (p)S
FmE
2037 0 :M
f161 sf
( )S
2039 0 :M
FrMacBegin
B
0 FmP
F FmOP
154.678 291.666 M (i)S
FmE
2039 0 :M
f59 sf
( )S
2041 0 :M
FrMacBegin
B
0 FmP
F FmOP
156.901 289.166 M ( does not ha)S
-0.2 N (v)S
-0.151 N (e the tok)S
-0.1 N (en, it sends a REQ)S
-0.1 N (UEST\()S
FmE
2042 0 :M
f148 sf
( )S
2044 0 :M
FrMacBegin
B
0 FmP
F FmOP
346.298 289.166 M (i)S
FmE
2044 0 :M
f59 sf
( )S
2046 0 :M
FrMacBegin
B
0 FmP
F FmOP
349.076 289.166 M (\) message to the node named in )S
FmE
2047 0 :M
f148 sf
( )S
2049 0 :M
FrMacBegin
B
0 FmP
F FmOP
477.643 289.166 M (H)S
FmE
2049 0 :M
f161 sf
( )S
2051 0 :M
FrMacBegin
B
0 FmP
F FmOP
484.862 291.666 M (i)S
FmE
2051 0 :M
f59 sf
( )S
2053 0 :M
FrMacBegin
B
0 FmP
F FmOP
487.085 289.166 M (  unless )S
FmE
2054 0 :M
f148 sf
( )S
2056 0 :M
FrMacBegin
B
0 FmP
F FmOP
72 303 M (Q)S
FmE
2056 0 :M
f161 sf
( )S
2058 0 :M
FrMacBegin
B
0 FmP
F FmOP
79.219 305.5 M (i)S
FmE
2058 0 :M
f59 sf
( )S
2060 0 :M
FrMacBegin
B
0 FmP
F FmOP
81.442 303 M ( is not empty \(because then it has already sent a REQ)S
-0.1 N (UEST\()S
FmE
2061 0 :M
f148 sf
( )S
2063 0 :M
FrMacBegin
B
0 FmP
F FmOP
322.641 303 M (i)S
FmE
2063 0 :M
f59 sf
( )S
2065 0 :M
FrMacBegin
B
0 FmP
F FmOP
325.419 303 M (\) b)S
-0.2 N (ut has not yet recei)S
-0.251 N (v)S
-0.151 N (ed the tok)S
-0.1 N (en\). It adds the )S
72 316.833 M (request to )S
FmE
2066 0 :M
f148 sf
( )S
2068 0 :M
FrMacBegin
B
0 FmP
F FmOP
113.65 316.833 M (Q)S
FmE
2068 0 :M
f161 sf
( )S
2070 0 :M
FrMacBegin
B
0 FmP
F FmOP
120.87 319.333 M (i)S
FmE
2070 0 :M
f59 sf
( )S
2072 0 :M
FrMacBegin
B
0 FmP
F FmOP
123.092 316.833 M (.)S
54 330.966 M (2.)S
10.5 N (When )S
FmE
2073 0 :M
f148 sf
( )S
2075 0 :M
FrMacBegin
B
0 FmP
F FmOP
98.377 330.966 M (p)S
FmE
2075 0 :M
f161 sf
( )S
2077 0 :M
FrMacBegin
B
0 FmP
F FmOP
103.377 333.466 M (i)S
FmE
2077 0 :M
f59 sf
( )S
2079 0 :M
FrMacBegin
B
0 FmP
F FmOP
105.6 330.966 M ( recei)S
-0.251 N (v)S
-0.151 N (es REQ)S
-0.1 N (UEST\()S
FmE
2080 0 :M
f148 sf
( )S
2082 0 :M
FrMacBegin
B
0 FmP
F FmOP
191.166 330.966 M (j)S
FmE
2082 0 :M
f59 sf
( )S
2084 0 :M
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FmE
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( )S
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FmE
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( )S
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FrMacBegin
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FmE
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( )S
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FrMacBegin
B
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( )S
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( )S
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( )S
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B
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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B
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FmE
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( )S
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B
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FmE
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( )S
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B
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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-0.1 N (UEST\()S
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( )S
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FrMacBegin
B
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354.148 358.933 M (i)S
FmE
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( )S
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FrMacBegin
B
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72 370.933 M (b)S
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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-0.1 N (en, it sends the tok)S
-0.1 N (en to )S
FmE
2128 0 :M
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( )S
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B
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248.375 370.933 M (p)S
FmE
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( )S
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FrMacBegin
B
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FmE
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f59 sf
( )S
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FrMacBegin
B
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F FmOP
255.598 370.933 M ( and sets )S
FmE
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f148 sf
( )S
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FrMacBegin
B
0 FmP
F FmOP
292.531 370.933 M (H)S
FmE
2137 0 :M
f161 sf
( )S
2139 0 :M
FrMacBegin
B
0 FmP
F FmOP
299.75 373.433 M (i)S
FmE
2139 0 :M
f59 sf
( )S
2141 0 :M
FrMacBegin
B
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F FmOP
301.973 370.933 M ( to j.)S
54 385.066 M (3.)S
10.5 N (If )S
FmE
2142 0 :M
f148 sf
( )S
2144 0 :M
FrMacBegin
B
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81.155 385.066 M (p)S
FmE
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( )S
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FrMacBegin
B
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F FmOP
86.155 387.566 M (i)S
FmE
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( )S
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FrMacBegin
B
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-0.251 N (v)S
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-0.1 N (en:)S
72 399.199 M (a.)S
11.062 N -0.175(if )W
FmE
2149 0 :M
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( )S
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FrMacBegin
B
0 FmP
F FmOP
98.431 399.199 M (i)S
FmE
2151 0 :M
f59 sf
( )S
2153 0 :M
FrMacBegin
B
0 FmP
F FmOP
101.209 399.199 M -0.175( is not the \336)W
-0.175(rst entry in )W
FmE
2154 0 :M
f148 sf
( )S
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FrMacBegin
B
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193.026 399.199 M (Q)S
FmE
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f161 sf
( )S
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FrMacBegin
B
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200.245 401.699 M (i)S
FmE
2158 0 :M
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( )S
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FrMacBegin
B
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202.467 399.199 M -0.175(, it deletes the \336)W
-0.175(rst entry )W
FmE
2161 0 :M
f148 sf
( )S
2163 0 :M
FrMacBegin
B
0 FmP
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300.552 399.199 M (j)S
FmE
2163 0 :M
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( )S
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FrMacBegin
B
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303.33 399.199 M -0.175( from )W
FmE
2166 0 :M
f148 sf
( )S
2168 0 :M
FrMacBegin
B
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F FmOP
327.414 399.199 M (Q)S
FmE
2168 0 :M
f161 sf
( )S
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FrMacBegin
B
0 FmP
F FmOP
334.634 401.699 M (i)S
FmE
2170 0 :M
f59 sf
( )S
2172 0 :M
FrMacBegin
B
0 FmP
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336.856 399.199 M -0.175( and forw)W
-0.1 N -0.175(ards the tok)W
-0.1 N -0.175(en to )W
FmE
2173 0 :M
f148 sf
( )S
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FrMacBegin
B
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442.787 399.199 M (p)S
FmE
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( )S
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FrMacBegin
B
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F FmOP
447.787 401.699 M (j)S
FmE
2177 0 :M
f59 sf
( )S
2179 0 :M
FrMacBegin
B
0 FmP
F FmOP
450.01 399.199 M -0.175(. It then sets )W
FmE
2180 0 :M
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( )S
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FrMacBegin
B
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F FmOP
500.129 399.199 M (H)S
FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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509.571 399.199 M -0.175( to )W
FmE
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( )S
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FrMacBegin
B
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90 413.033 M (j)S
FmE
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( )S
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FrMacBegin
B
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FmE
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f148 sf
( )S
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FrMacBegin
B
0 FmP
F FmOP
106.934 413.033 M (Q)S
FmE
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f161 sf
( )S
2196 0 :M
FrMacBegin
B
0 FmP
F FmOP
114.153 415.533 M (i)S
FmE
2196 0 :M
f59 sf
( )S
2198 0 :M
FrMacBegin
B
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F FmOP
116.375 413.033 M ( is not empty)S
-0.652 N (, )S
FmE
2199 0 :M
f148 sf
( )S
2201 0 :M
FrMacBegin
B
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F FmOP
172.665 413.033 M (p)S
FmE
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f161 sf
( )S
2203 0 :M
FrMacBegin
B
0 FmP
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177.665 415.533 M (i)S
FmE
2203 0 :M
f59 sf
( )S
2205 0 :M
FrMacBegin
B
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179.887 413.033 M ( sends REQ)S
-0.1 N (UEST\()S
FmE
2206 0 :M
f148 sf
( )S
2208 0 :M
FrMacBegin
B
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F FmOP
255.324 413.033 M (i)S
FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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274.208 413.033 M (p)S
FmE
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( )S
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FrMacBegin
B
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279.208 415.533 M (j)S
FmE
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( )S
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FrMacBegin
B
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72 426.866 M (b)S
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10.9 N (if )S
FmE
2218 0 :M
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( )S
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FrMacBegin
B
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98.606 426.866 M (i)S
FmE
2220 0 :M
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( )S
2222 0 :M
FrMacBegin
B
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(rst entry in )S
FmE
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( )S
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FrMacBegin
B
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179.146 426.866 M (Q)S
FmE
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( )S
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FrMacBegin
B
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186.365 429.366 M (i)S
FmE
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( )S
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FrMacBegin
B
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188.587 426.866 M (, )S
FmE
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( )S
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FrMacBegin
B
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193.587 426.866 M (p)S
FmE
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( )S
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FrMacBegin
B
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198.587 429.366 M (i)S
FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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231.071 426.866 M ( i)S
FmE
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( )S
2241 0 :M
FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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260.783 426.866 M (Q)S
FmE
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( )S
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FrMacBegin
B
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268.002 429.366 M (i)S
FmE
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( )S
2248 0 :M
FrMacBegin
B
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54 440.999 M (4.)S
10.5 N (When )S
FmE
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( )S
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B
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FmE
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( )S
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FrMacBegin
B
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FmE
2253 0 :M
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( )S
2255 0 :M
FrMacBegin
B
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105.6 440.999 M ( \336)S
(nishes e)S
-0.151 N (x)S
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72 455.132 M (a.)S
11.062 N (if )S
FmE
2256 0 :M
f148 sf
( )S
2258 0 :M
FrMacBegin
B
0 FmP
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98.606 455.132 M (Q)S
FmE
2258 0 :M
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( )S
2260 0 :M
FrMacBegin
B
0 FmP
F FmOP
105.825 457.632 M (i)S
FmE
2260 0 :M
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( )S
2262 0 :M
FrMacBegin
B
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-0.652 N (, it deletes the \336)S
(rst entry )S
FmE
2263 0 :M
f148 sf
( )S
2265 0 :M
FrMacBegin
B
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FmE
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( )S
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FrMacBegin
B
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FmE
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( )S
2270 0 :M
FrMacBegin
B
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FmE
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f161 sf
( )S
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FrMacBegin
B
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292.901 457.632 M (i)S
FmE
2272 0 :M
f59 sf
( )S
2274 0 :M
FrMacBegin
B
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295.124 455.132 M (, sends the tok)S
-0.1 N (en to )S
FmE
2275 0 :M
f148 sf
( )S
2277 0 :M
FrMacBegin
B
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F FmOP
374.453 455.132 M (p)S
FmE
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f161 sf
( )S
2279 0 :M
FrMacBegin
B
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379.453 457.632 M (j)S
FmE
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( )S
2281 0 :M
FrMacBegin
B
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381.675 455.132 M (, and sets )S
FmE
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( )S
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FrMacBegin
B
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421.109 455.132 M (H)S
FmE
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( )S
2286 0 :M
FrMacBegin
B
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428.328 457.632 M (i)S
FmE
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f59 sf
( )S
2288 0 :M
FrMacBegin
B
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430.551 455.132 M ( to )S
FmE
2289 0 :M
f148 sf
( )S
2291 0 :M
FrMacBegin
B
0 FmP
F FmOP
443.329 455.132 M (j)S
FmE
2291 0 :M
f59 sf
( )S
2293 0 :M
FrMacBegin
B
0 FmP
F FmOP
72 468.966 M (b)S
-0.4 N (.)S
10.9 N (if after step a )S
FmE
2294 0 :M
f148 sf
( )S
2296 0 :M
FrMacBegin
B
0 FmP
F FmOP
144.961 468.966 M (Q)S
FmE
2296 0 :M
f161 sf
( )S
2298 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.18 471.466 M (i)S
FmE
2298 0 :M
f59 sf
( )S
2300 0 :M
FrMacBegin
B
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F FmOP
154.403 468.966 M ( is not empty)S
-0.652 N (, )S
FmE
2301 0 :M
f148 sf
( )S
2303 0 :M
FrMacBegin
B
0 FmP
F FmOP
210.692 468.966 M (p)S
FmE
2303 0 :M
f161 sf
( )S
2305 0 :M
FrMacBegin
B
0 FmP
F FmOP
215.692 471.466 M (i)S
FmE
2305 0 :M
f59 sf
( )S
2307 0 :M
FrMacBegin
B
0 FmP
F FmOP
217.915 468.966 M ( sends REQ)S
-0.1 N (UEST\()S
FmE
2308 0 :M
f148 sf
( )S
2310 0 :M
FrMacBegin
B
0 FmP
F FmOP
293.352 468.966 M (i)S
FmE
2310 0 :M
f59 sf
( )S
2312 0 :M
FrMacBegin
B
0 FmP
F FmOP
296.13 468.966 M (\) to )S
FmE
2313 0 :M
f148 sf
( )S
2315 0 :M
FrMacBegin
B
0 FmP
F FmOP
312.236 468.966 M (p)S
FmE
2315 0 :M
f161 sf
( )S
2317 0 :M
FrMacBegin
B
0 FmP
F FmOP
317.236 471.466 M (j)S
FmE
2317 0 :M
f59 sf
( )S
2319 0 :M
FrMacBegin
B
0 FmP
F FmOP
319.458 468.966 M (.)S
FmE
endp
showpage
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54 42 FmB
468 0 FmL
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FmE
gR
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159.015 N (Page )S
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( )S
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FrMacBegin
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FmE
2326 0 :M
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( )S
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FrMacBegin
B
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54 89.667 M -0.296(There are six processes, )W
FmE
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( )S
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FrMacBegin
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FmE
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FrMacBegin
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FmE
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FrMacBegin
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FmE
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FrMacBegin
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FmE
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FrMacBegin
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FmE
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FrMacBegin
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FmE
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FmE
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FrMacBegin
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214.026 92.167 M (1)S
FmE
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( )S
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FrMacBegin
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FmE
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FrMacBegin
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236.872 89.667 M (p)S
FmE
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( )S
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FrMacBegin
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FmE
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( )S
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FrMacBegin
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245.872 89.667 M -0.296( seek mutually e)W
-0.151 N (xclusi)S
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-0.151 N -0.296(e access to a shared resource, and later )W
FmE
2356 0 :M
f148 sf
( )S
2358 0 :M
FrMacBegin
B
0 FmP
F FmOP
493.038 89.667 M (p)S
FmE
2359 0 :M
f187 sf
( )S
2361 0 :M
FrMacBegin
B
0 FmP
F FmOP
498.038 92.167 M (3)S
FmE
2361 0 :M
f59 sf
( )S
2363 0 :M
FrMacBegin
B
0 FmP
F FmOP
502.038 89.667 M -0.296( will )W
54 103.5 M (request it.)S
54 115.5 M (Initially: p4 has the tok)S
-0.1 N (en;)S
90 127.5 M (p1\325)S
-0.552 N (s state is C1 = 0, HOLDER2 = p3, Q1 empty)S
90 139.5 M (p2\325)S
-0.552 N (s state is C2 = 0, HOLDER2 = p3, Q2 empty)S
90 151.5 M (p3\325)S
-0.552 N (s state is C3 = 0, HOLDER3 = p4, Q3 empty)S
90 163.5 M (p4\325)S
-0.552 N (s state is C4 = 0, HOLDER4 = p4, Q4 empty)S
-0.652 N (, holding tok)S
-0.1 N (en)S
90 175.5 M (p5\325)S
-0.552 N (s state is C5 = 0, HOLDER5 = p4, Q5 empty)S
90 187.5 M (p6\325)S
-0.552 N (s state is C6 = 0, HOLDER6 = p5, Q6 empty)S
54 199.5 M (p1 sends Q\(1\) to p3; p1\325)S
-0.552 N (s state is C1 = 1, HOLDER2 = p3, Q1 = Q\(1\).)S
54 211.5 M (p5 sends Q\(5\) to p4; p5\325)S
-0.552 N (s state is C5 = 1, HOLDER5 = p4, Q5 = Q\(5\).)S
54 223.5 M (p3 recei)S
-0.251 N (v)S
-0.151 N (es Q\(1\) from p1; p3\325)S
-0.552 N (s state is C3 = 0, HOLDER3 = p4, Q3 empty)S
-0.652 N (.)S
54 235.5 M (p3 sends Q\(3\) to p4; p3\325)S
-0.552 N (s state is C3 = 1, HOLDER3 = p4, Q3 = Q\(1\).)S
54 247.5 M (p4 recei)S
-0.251 N (v)S
-0.151 N (es Q\(5\) from p5; p4\325)S
-0.552 N (s state is C4 = 0, HOLDER4 = p4, Q4 empty)S
-0.652 N (, holding tok)S
-0.1 N (en.)S
54 259.5 M (p4 sends tok)S
-0.1 N (en to p5; p4\325)S
-0.552 N (s state is C4 = 1, HOLDER4 = p5, Q4 empty)S
-0.652 N (.)S
54 271.5 M (p4 recei)S
-0.251 N (v)S
-0.151 N (es Q\(3\) from p3; p4\325)S
-0.552 N (s state is C4 = 1, HOLDER4 = p5, Q4 empty)S
-0.652 N (.)S
54 283.5 M (p4 sends Q\(4\) to p5; p4\325)S
-0.552 N (s state is C4 = 2, HOLDER4 = p5, Q4 = Q\(3\).)S
54 295.5 M (p5 recei)S
-0.251 N (v)S
-0.151 N (es tok)S
-0.1 N (en from p4; p5\325)S
-0.552 N (s state is C5 = 1, HOLDER5 = p4, Q5 = Q\(5\).)S
54 307.5 M (p5 resets state to C5 = 1, HOLDER5 = p4, Q5 empty)S
-0.652 N (, holding tok)S
-0.1 N (en.)S
FmE
2363 0 :M
f230 sf
( )S
2365 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 319.5 M (p5 enters the critical section)S
54 331.5 M (p5 leav)S
-0.151 N (es the critical section)S
FmE
2366 0 :M
f59 sf
( )S
2368 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 343.5 M (p5 recei)S
-0.251 N (v)S
-0.151 N (es Q\(4\) from p4; p5\325)S
-0.552 N (s state is C5 = 1, HOLDER5 = p4, Q5 empty)S
-0.652 N (, holding tok)S
-0.1 N (en.)S
54 355.5 M (p5 sends tok)S
-0.1 N (en to p4; p5\325)S
-0.552 N (s state is C5 = 2, HOLDER5 = p4, Q5 empty)S
-0.652 N (.)S
54 367.5 M (p3 sends Q\(3\) to p4; p3\325)S
-0.552 N (s state is C3 = 2, HOLDER3 = p4, Q3 = Q\(1\) Q\(3\).)S
54 379.5 M (p4 recei)S
-0.251 N (v)S
-0.151 N (es Q\(3\) from p3; p4\325)S
-0.552 N (s state is C4 = 2, HOLDER4 = p5, Q4 = Q\(3\).)S
54 391.5 M (p4\325)S
-0.552 N (s state is C4 = 3, HOLDER4 = p5, Q4 = Q\(3\)Q\(5\) [it sends nothing as it is w)S
-0.1 N (aiting for a response])S
54 403.5 M (p4 recei)S
-0.251 N (v)S
-0.151 N (es tok)S
-0.1 N (en from p5; p4\325)S
-0.552 N (s state is C4 = 3, HOLDER4 = p5, Q4 = Q\(3\) Q\(5\), holding tok)S
-0.1 N (en.)S
54 415.5 M (p4 sends tok)S
-0.1 N (en to p3; p4\325)S
-0.552 N (s state is C4 = 3, HOLDER4 = p3, Q4 = Q\(5\).)S
54 427.5 M (p4 sends Q\(4\) to p3; p4\325)S
-0.552 N (s state is C4 = 3, HOLDER4 = p3, Q4 = Q\(5\).)S
54 439.5 M (p3 recei)S
-0.251 N (v)S
-0.151 N (es tok)S
-0.1 N (en from p4; p3\325)S
-0.552 N (s state is C3 = 2, HOLDER3 = p4, Q3 = Q\(1\) Q\(3\), holding tok)S
-0.1 N (en.)S
54 451.5 M (p3 sends tok)S
-0.1 N (en to p1; p3\325)S
-0.552 N (s state is C3 = 3, HOLDER3 = p1, Q3 = Q\(3\).)S
54 463.499 M (p3 sends Q\(3\) to p1; p3\325)S
-0.552 N (s state is C3 = 4, HOLDER3 = p1, Q3 = Q\(3\).)S
54 475.499 M (p1 recei)S
-0.251 N (v)S
-0.151 N (es tok)S
-0.1 N (en from p3; p1\325)S
-0.552 N (s state is C1 = 1, HOLDER1 = p3, Q1 = Q\(1\), holding tok)S
-0.1 N (en.)S
54 487.499 M (p1 resets state to C1 = 1, HOLDER1 = p3, Q1 empty)S
-0.652 N (, holding tok)S
-0.1 N (en.)S
FmE
2368 0 :M
f230 sf
( )S
2370 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 499.499 M (p1 enters the critical section)S
54 511.499 M (p1 leav)S
-0.151 N (es the critical section)S
FmE
2371 0 :M
f59 sf
( )S
2373 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 523.499 M (p1 recei)S
-0.251 N (v)S
-0.151 N (es Q\(3\) from p3; p1\325)S
-0.552 N (s state is C1 = 1, HOLDER1 = p3, Q1 empty)S
-0.652 N (, holding tok)S
-0.1 N (en.)S
54 535.499 M (p1 sends tok)S
-0.1 N (en to p3; p1\325)S
-0.552 N (s state is C1 = 2, HOLDER1 = p3, Q1 empty)S
-0.652 N (.)S
54 547.499 M (p3 recei)S
-0.251 N (v)S
-0.151 N (es tok)S
-0.1 N (en from p1; p3\325)S
-0.552 N (s state is C3 = 4, HOLDER3 = p1, Q3 = Q\(3\), holding tok)S
-0.1 N (en.)S
54 559.499 M (p3 recei)S
-0.251 N (v)S
-0.151 N (es Q\(4\) from p4; p3\325)S
-0.552 N (s state is C3 = 4, HOLDER3 = p1, Q3 = Q\(3\) Q\(4\).)S
54 571.499 M (p3 resets state to C3 = 4, HOLDER3 = p1, Q3 = Q\(4\).)S
FmE
2373 0 :M
f230 sf
( )S
2375 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 583.499 M (p3 enters the critical section)S
54 595.499 M (p3 leav)S
-0.151 N (es the critical section)S
FmE
2376 0 :M
f59 sf
( )S
2378 0 :M
FrMacBegin
B
0 FmP
F FmOP
54 607.499 M (p3 sends tok)S
-0.1 N (en to p4; p3\325)S
-0.552 N (s state is C3 = 5, HOLDER3 = p4, Q3 empty)S
-0.652 N (, holding tok)S
-0.1 N (en.)S
54 619.499 M (p4 recei)S
-0.251 N (v)S
-0.151 N (es tok)S
-0.1 N (en from p3; p4\325)S
-0.552 N (s state is p4\325)S
-0.552 N (s state is C4 = 3, HOLDER4 = p3, Q4 = Q\(5\).)S
54 631.499 M (p4 sends tok)S
-0.1 N (en to p5; p4\325)S
-0.552 N (s state is C4 = 4, HOLDER4 = p5, Q4 empty)S
-0.652 N (.)S
54 643.499 M (p5 recei)S
-0.251 N (v)S
-0.151 N (es tok)S
-0.1 N (en from p4; p5\325)S
-0.552 N (s state is C5 = 2, HOLDER5 = p4, Q5 empty)S
-0.652 N (.)S
FmE
endp
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